{"id": "v3_test_extrapolation_00000000", "prompt": "Find x: 23x + 7462 = 15(x - 2721)", "solution_steps": ["Expand: 23x + 7462 = 15x - 40815", "Subtract 15x from both sides: 8x + 7462 = -40815", "Subtract 7462 from both sides: 8x = -48277", "Divide both sides by 8: x = -48277/8"], "final_answer": "-48277/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 7462 = 15(x - 2721)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 7462, \"c\": 15, \"d\": 2721}", "seed": "1751587037167743144", "semantic_fingerprint": "sha256:d45c101c9b134bf6f95efa9295ef9d81008dc53cbbc93b29488eb1372de94f81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000001", "prompt": "What is -4860 + (14252 - 2843)?", "solution_steps": ["Subtract: 14252 - 2843 = 11409", "Add: -4860 + 11409 = 6549"], "final_answer": "6549", "answer_type": "integer", "kind": "expression", "math_text": "-4860 + (14252 - 2843)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4860, \"b\": 14252, \"c\": 2843}", "seed": "13227241369491878757", "semantic_fingerprint": "sha256:08ccfd69992f6f609d4efe196dc51f53401cea75d7b9bea916742a353741c1ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000002", "prompt": "Find x: x + 9424 = -15x + 86660", "solution_steps": ["Add 15x to both sides: 16x + 9424 = 86660", "Subtract 9424 from both sides: 16x = 77236", "Divide both sides by 16: x = 19309/4"], "final_answer": "19309/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9424 = -15x + 86660", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9424, \"b\": -15, \"c\": 86660}", "seed": "6356830106936789833", "semantic_fingerprint": "sha256:954c6f02d4895ea90a91fb8ee5cbd367953f34cf98ae022c6cc3847dcc8a8950", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000003", "prompt": "What is 72651 + 9333?", "solution_steps": ["Add: 72651 + 9333 = 81984"], "final_answer": "81984", "answer_type": "integer", "kind": "expression", "math_text": "72651 + 9333", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 72651, \"b\": 9333}", "seed": "1862486903209187058", "semantic_fingerprint": "sha256:b004e2d8a9cb20bc4fe76dad31ad5e574e20f4acaee882d8080a8eef4d364cd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000004", "prompt": "Evaluate: 68251 * (-8808)", "solution_steps": ["Multiply: 68251 * (-8808) = -601154808"], "final_answer": "-601154808", "answer_type": "integer", "kind": "expression", "math_text": "68251 * (-8808)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 68251, \"b\": -8808}", "seed": "11165692374227354052", "semantic_fingerprint": "sha256:fc5257911cee66a53c62ca9f3203a9d32ab952ae0c171294f284fd8c39ad6bdc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000005", "prompt": "Compute: -39430 - 8040 + (-40657)", "solution_steps": ["Subtract: -39430 - 8040 = -47470", "Add: -47470 + (-40657) = -88127"], "final_answer": "-88127", "answer_type": "integer", "kind": "expression", "math_text": "-39430 - 8040 + (-40657)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39430, \"b\": 8040, \"c\": -40657}", "seed": "201747921418657290", "semantic_fingerprint": "sha256:bce530bf5ffb3ed2442d7adca9f1c7ae75c74e13c2c333ae3961958b68705595", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000006", "prompt": "Compute: 5167 + (6518 + (-35032)) / (-10908) - (-9294)", "solution_steps": ["Add: 6518 + (-35032) = -28514", "Divide: -28514 / (-10908) = 14257/5454", "Add: 5167 + 14257/5454 = 28195075/5454", "Subtract: 28195075/5454 - (-9294) = 78884551/5454"], "final_answer": "78884551/5454", "answer_type": "rational", "kind": "expression", "math_text": "5167 + (6518 + (-35032)) / (-10908) - (-9294)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5167, \"b\": 6518, \"c\": -35032, \"d\": -10908, \"e\": -9294}", "seed": "2040844859629732298", "semantic_fingerprint": "sha256:8c3b6187bee97a894f25d423c7853dfeb06562c4cc5d9c524dabeb4a1e56c1ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000007", "prompt": "Solve the equation 34x - 6039 = x for x.", "solution_steps": ["Subtract x from both sides: 33x - 6039 = 0", "Add 6039 to both sides: 33x = 6039", "Divide both sides by 33: x = 183"], "final_answer": "183", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x - 6039 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"c\": -6039, \"x\": 183}", "seed": "8043448133125255656", "semantic_fingerprint": "sha256:636f4434c0d5e14eda4c69bfec9410e8cd3c5731b8ed8a6358ebddf399ded3d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000008", "prompt": "Compute: -1171 - 6913", "solution_steps": ["Subtract: -1171 - 6913 = -8084"], "final_answer": "-8084", "answer_type": "integer", "kind": "expression", "math_text": "-1171 - 6913", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1171, \"b\": 6913}", "seed": "11108874171356880560", "semantic_fingerprint": "sha256:83940eb9ab3f987bcb8a633104c7931a9bbd90ba613cf8a2e188c41988b584c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000009", "prompt": "Evaluate: -72020 + (-2576 + 4155) + 1478", "solution_steps": ["Add: -2576 + 4155 = 1579", "Add: -72020 + 1579 = -70441", "Add: -70441 + 1478 = -68963"], "final_answer": "-68963", "answer_type": "integer", "kind": "expression", "math_text": "-72020 + (-2576 + 4155) + 1478", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -72020, \"b\": -2576, \"c\": 4155, \"d\": 1478}", "seed": "539828581174245352", "semantic_fingerprint": "sha256:91c94aa1df2421a7e100bd8e55d71585632d25a318c947c5f433721ce1611294", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000010", "prompt": "Calculate: (-5103 - (-8516)) * (-2570 - (-7711) - (-7405))", "solution_steps": ["Subtract: -5103 - (-8516) = 3413", "Subtract: -2570 - (-7711) = 5141", "Subtract: 5141 - (-7405) = 12546", "Multiply: 3413 * 12546 = 42819498"], "final_answer": "42819498", "answer_type": "integer", "kind": "expression", "math_text": "(-5103 - (-8516)) * (-2570 - (-7711) - (-7405))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5103, \"b\": -8516, \"c\": -2570, \"d\": -7711, \"e\": -7405}", "seed": "8805937769804959604", "semantic_fingerprint": "sha256:0971ebf1509280c839c44f4df7ce99457fadf086d363b9fac57a38ed59a33632", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000011", "prompt": "Compute: 5295 * 1790 * (-2798)", "solution_steps": ["Multiply: 5295 * 1790 = 9478050", "Multiply: 9478050 * (-2798) = -26519583900"], "final_answer": "-26519583900", "answer_type": "integer", "kind": "expression", "math_text": "5295 * 1790 * (-2798)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5295, \"b\": 1790, \"c\": -2798}", "seed": "10586652226835733549", "semantic_fingerprint": "sha256:a72240e4beadd603675d40b0ae98bdd066302977b6f4db2dd78bd90953a40ac4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000012", "prompt": "Solve for x: -23x + 7058 = -16x + 60378", "solution_steps": ["Add 16x to both sides: -7x + 7058 = 60378", "Subtract 7058 from both sides: -7x = 53320", "Divide both sides by -7: x = -53320/7"], "final_answer": "-53320/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23x + 7058 = -16x + 60378", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 7058, \"c\": -16, \"d\": 60378}", "seed": "16374363948184556330", "semantic_fingerprint": "sha256:474cba2c89e172181ad45b1f76e968735fda9042476944da650fdc90f56fdd44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000013", "prompt": "What is 1681 - 9291 + (-7223)?", "solution_steps": ["Subtract: 1681 - 9291 = -7610", "Add: -7610 + (-7223) = -14833"], "final_answer": "-14833", "answer_type": "integer", "kind": "expression", "math_text": "1681 - 9291 + (-7223)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1681, \"b\": 9291, \"c\": -7223}", "seed": "1102527697821524703", "semantic_fingerprint": "sha256:7c2602d5ca62c364d52bf5994ffc5148bfaab1f43e1a2d04cddc206023b0b47d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000014", "prompt": "Calculate: 71667 - (-2487)", "solution_steps": ["Subtract: 71667 - (-2487) = 74154"], "final_answer": "74154", "answer_type": "integer", "kind": "expression", "math_text": "71667 - (-2487)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 71667, \"b\": -2487}", "seed": "12150690506048057719", "semantic_fingerprint": "sha256:2e5ccbf6cbec955be4fa3b27d400a1afca945659d35e3692adea6b9f1154de8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000015", "prompt": "Evaluate: -9221 + (-9299)", "solution_steps": ["Add: -9221 + (-9299) = -18520"], "final_answer": "-18520", "answer_type": "integer", "kind": "expression", "math_text": "-9221 + (-9299)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9221, \"b\": -9299}", "seed": "968725854570733029", "semantic_fingerprint": "sha256:5f19e7546f2ee6abb270bfa0a16ea30e6b63733ba5c0df13307098bbd40fe983", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000016", "prompt": "Solve for x: x = 27x + 32692", "solution_steps": ["Subtract 27x from both sides: -26x = 32692", "Divide both sides by -26: x = -16346/13"], "final_answer": "-16346/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27x + 32692", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 32692}", "seed": "10711401750731825202", "semantic_fingerprint": "sha256:e6f4cb808d05bc179449a08e4a635ad7e9bbed00de3fae3ee6b01dc37a2280e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000017", "prompt": "What is 86320 * (-23572 / (-76708)) + 9854?", "solution_steps": ["Divide: -23572 / (-76708) = 5893/19177", "Multiply: 86320 * (5893/19177) = 508683760/19177", "Add: 508683760/19177 + 9854 = 697653918/19177"], "final_answer": "697653918/19177", "answer_type": "rational", "kind": "expression", "math_text": "86320 * (-23572 / (-76708)) + 9854", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86320, \"b\": -23572, \"c\": -76708, \"d\": 9854}", "seed": "14976902469394473168", "semantic_fingerprint": "sha256:04e1eaafa103c8e83eb2736084126820d0a457c8b60633cce61112481bda1c37", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000018", "prompt": "Solve for x: 31x + 39467 = 26x + 39722", "solution_steps": ["Subtract 26x from both sides: 5x + 39467 = 39722", "Subtract 39467 from both sides: 5x = 255", "Divide both sides by 5: x = 51"], "final_answer": "51", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 39467 = 26x + 39722", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 39467, \"c\": 26, \"e\": 39722, \"x\": 51}", "seed": "102270761467362362", "semantic_fingerprint": "sha256:f6c6a481ddf03126812b29c8ddfcb6011a0b72bb4cbfa613a6cf93db30bcfb62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000019", "prompt": "Evaluate: -14533 + 3932", "solution_steps": ["Add: -14533 + 3932 = -10601"], "final_answer": "-10601", "answer_type": "integer", "kind": "expression", "math_text": "-14533 + 3932", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -14533, \"b\": 3932}", "seed": "14673525554521583191", "semantic_fingerprint": "sha256:e44a7dc907ea43ca524a0fc184c7fc0dfa78cdc6ce5d0d5d02b71c9503c6d94c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000020", "prompt": "What is 1920 + (3513 + 1051 - (-95221) / 71717)?", "solution_steps": ["Add: 3513 + 1051 = 4564", "Divide: -95221 / 71717 = -95221/71717", "Subtract: 4564 - (-95221/71717) = 327411609/71717", "Add: 1920 + 327411609/71717 = 465108249/71717"], "final_answer": "465108249/71717", "answer_type": "rational", "kind": "expression", "math_text": "1920 + (3513 + 1051 - (-95221) / 71717)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1920, \"b\": 3513, \"c\": 1051, \"d\": -95221, \"e\": 71717}", "seed": "375829177149747132", "semantic_fingerprint": "sha256:0a3aa839c1737a91a48cbf6cdb2b95ed2cb22d6df9503c7e9d42bfd68e4d55cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000021", "prompt": "Evaluate: (8984 - (-9259)) / (3752 - (85572 - 6354))", "solution_steps": ["Subtract: 8984 - (-9259) = 18243", "Subtract: 85572 - 6354 = 79218", "Subtract: 3752 - 79218 = -75466", "Divide: 18243 / (-75466) = -18243/75466"], "final_answer": "-18243/75466", "answer_type": "rational", "kind": "expression", "math_text": "(8984 - (-9259)) / (3752 - (85572 - 6354))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8984, \"b\": -9259, \"c\": 3752, \"d\": 85572, \"e\": 6354}", "seed": "7025966838505277824", "semantic_fingerprint": "sha256:e6b110c0cca8f8782e94bbbccf97abd2d0f7097f28d629a6ef310fdf0ed8d127", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000022", "prompt": "Solve for x: -35(x - 32608) = 32x", "solution_steps": ["Expand: -35x + 1141280 = 32x", "Subtract 32x from both sides: -67x + 1141280 = 0", "Subtract 1141280 from both sides: -67x = -1141280", "Divide both sides by -67: x = 1141280/67"], "final_answer": "1141280/67", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 32608) = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 32608, \"c\": 32}", "seed": "8843732230798664730", "semantic_fingerprint": "sha256:ae52ebe49f90999ee445685131facff94af3ae22fac211f9f07887c5b97c38aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000023", "prompt": "Compute: 3786 / (-9316) - (-2691) + (17342 - (-7044))", "solution_steps": ["Divide: 3786 / (-9316) = -1893/4658", "Subtract: -1893/4658 - (-2691) = 12532785/4658", "Subtract: 17342 - (-7044) = 24386", "Add: 12532785/4658 + 24386 = 126122773/4658"], "final_answer": "126122773/4658", "answer_type": "rational", "kind": "expression", "math_text": "3786 / (-9316) - (-2691) + (17342 - (-7044))", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3786, \"b\": -9316, \"c\": -2691, \"d\": 17342, \"e\": -7044}", "seed": "15905374485719855598", "semantic_fingerprint": "sha256:4b659626db0335deb4cf7055b152a15435e2a954a325208822ffa76559bda0be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000024", "prompt": "Evaluate: -33267 / 5400 + 8967", "solution_steps": ["Divide: -33267 / 5400 = -11089/1800", "Add: -11089/1800 + 8967 = 16129511/1800"], "final_answer": "16129511/1800", "answer_type": "rational", "kind": "expression", "math_text": "-33267 / 5400 + 8967", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33267, \"b\": 5400, \"c\": 8967}", "seed": "8902284671413165943", "semantic_fingerprint": "sha256:72f47fc178752b19f37a526b01e7030ee945e7a0abb1b91baad48ff2f78f474a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000025", "prompt": "What is -7642 - (-9863) + (15938 + 7567)?", "solution_steps": ["Subtract: -7642 - (-9863) = 2221", "Add: 15938 + 7567 = 23505", "Add: 2221 + 23505 = 25726"], "final_answer": "25726", "answer_type": "integer", "kind": "expression", "math_text": "-7642 - (-9863) + (15938 + 7567)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7642, \"b\": -9863, \"c\": 15938, \"d\": 7567}", "seed": "6509951630743910150", "semantic_fingerprint": "sha256:e235c3ed7d7fc46fc6691b71f041d9e3a83af9cf46df7397c51e06659c00c125", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000026", "prompt": "Evaluate: (-3098 - 9745) / (5904 + 1074 - 2635)", "solution_steps": ["Subtract: -3098 - 9745 = -12843", "Add: 5904 + 1074 = 6978", "Subtract: 6978 - 2635 = 4343", "Divide: -12843 / 4343 = -12843/4343"], "final_answer": "-12843/4343", "answer_type": "rational", "kind": "expression", "math_text": "(-3098 - 9745) / (5904 + 1074 - 2635)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3098, \"b\": 9745, \"c\": 5904, \"d\": 1074, \"e\": 2635}", "seed": "4609817320187207953", "semantic_fingerprint": "sha256:6c423658b9da8d34f530737c6fbc4de2701383d1dfd3f7a2b1fb3d34c9d465a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000027", "prompt": "What value of x satisfies 32x = 16(x + 7743)?", "solution_steps": ["Expand: 32x = 16x + 123888", "Subtract 16x from both sides: 16x = 123888", "Divide both sides by 16: x = 7743"], "final_answer": "7743", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = 16(x + 7743)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 16, \"c\": 7743}", "seed": "330579133170444516", "semantic_fingerprint": "sha256:a15a8de8e852186dd781001d37a749591921677885efab2b4b3137abcd0c5b9f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000028", "prompt": "Evaluate: 15928 / (-78392) + (-49409) + (-55843)", "solution_steps": ["Divide: 15928 / (-78392) = -1991/9799", "Add: -1991/9799 + (-49409) = -484160782/9799", "Add: -484160782/9799 + (-55843) = -1031366339/9799"], "final_answer": "-1031366339/9799", "answer_type": "rational", "kind": "expression", "math_text": "15928 / (-78392) + (-49409) + (-55843)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15928, \"b\": -78392, \"c\": -49409, \"d\": -55843}", "seed": "16882034159201244734", "semantic_fingerprint": "sha256:215d60e548186bdf907d57e0f539631c1af68f383292607eda808e2d7e1570fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000029", "prompt": "What is 3477 - (1912 - 3357) - (-8943)?", "solution_steps": ["Subtract: 1912 - 3357 = -1445", "Subtract: 3477 - (-1445) = 4922", "Subtract: 4922 - (-8943) = 13865"], "final_answer": "13865", "answer_type": "integer", "kind": "expression", "math_text": "3477 - (1912 - 3357) - (-8943)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3477, \"b\": 1912, \"c\": 3357, \"d\": -8943}", "seed": "6323939504067558515", "semantic_fingerprint": "sha256:638da08e9b1793122dcc29d8c863734298c7365d1d4563b2ae703ff9b500372b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000030", "prompt": "Evaluate: (-17892 + 77444) / 10471", "solution_steps": ["Add: -17892 + 77444 = 59552", "Divide: 59552 / 10471 = 59552/10471"], "final_answer": "59552/10471", "answer_type": "rational", "kind": "expression", "math_text": "(-17892 + 77444) / 10471", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17892, \"b\": 77444, \"c\": 10471}", "seed": "11301253204049848736", "semantic_fingerprint": "sha256:cc123f2f6c7fc01e7728bfc4ba83edaf2423990e7180eabf9c3bc5c967330ebc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000031", "prompt": "Compute: 6416 / (-21808)", "solution_steps": ["Divide: 6416 / (-21808) = -401/1363"], "final_answer": "-401/1363", "answer_type": "rational", "kind": "expression", "math_text": "6416 / (-21808)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6416, \"b\": -21808}", "seed": "11356266708354954944", "semantic_fingerprint": "sha256:b5653d9720ee45bc641c88e243cfb3de681ef28b477e0307e328cb26c0ca25dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000032", "prompt": "Find x: x = -30(x + 3001) - 3966", "solution_steps": ["Expand: x = -30x - 90030 - 3966", "Combine constants: x = -30x - 93996", "Add 30x to both sides: 31x = -93996", "Divide both sides by 31: x = -93996/31"], "final_answer": "-93996/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -30(x + 3001) - 3966", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 3001, \"c\": 3966}", "seed": "6137222731626734583", "semantic_fingerprint": "sha256:5c32b89c20fc411e60d1cbc761550df5e2e2215e3afbb6423f90208af8452985", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000033", "prompt": "Compute: -9223 * 13379 - 1447 - (-5232)", "solution_steps": ["Multiply: -9223 * 13379 = -123394517", "Subtract: -123394517 - 1447 = -123395964", "Subtract: -123395964 - (-5232) = -123390732"], "final_answer": "-123390732", "answer_type": "integer", "kind": "expression", "math_text": "-9223 * 13379 - 1447 - (-5232)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9223, \"b\": 13379, \"c\": 1447, \"d\": -5232}", "seed": "4152171035747494681", "semantic_fingerprint": "sha256:eb0dfc16cb45c53405678f1a12e63c45e70cdfa3ff1c6948abddeb463222a84c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000034", "prompt": "Evaluate: 96403 - (-9628 - (-89885))", "solution_steps": ["Subtract: -9628 - (-89885) = 80257", "Subtract: 96403 - 80257 = 16146"], "final_answer": "16146", "answer_type": "integer", "kind": "expression", "math_text": "96403 - (-9628 - (-89885))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96403, \"b\": -9628, \"c\": -89885}", "seed": "3331444151994122869", "semantic_fingerprint": "sha256:7c058f803f211e1242c37657cccfce280f9da5653bd477812a523a9d77052f3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000035", "prompt": "Compute: 6986 - 19418 / 27872", "solution_steps": ["Divide: 19418 / 27872 = 9709/13936", "Subtract: 6986 - 9709/13936 = 97347187/13936"], "final_answer": "97347187/13936", "answer_type": "rational", "kind": "expression", "math_text": "6986 - 19418 / 27872", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6986, \"b\": 19418, \"c\": 27872}", "seed": "9737047742070072492", "semantic_fingerprint": "sha256:6d547639fe61c2fe5e6e2b90b9bd959a9f75cf5fdc5dfc147cb94efb3502af33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000036", "prompt": "Evaluate: -2800 * 3214 - 4503", "solution_steps": ["Multiply: -2800 * 3214 = -8999200", "Subtract: -8999200 - 4503 = -9003703"], "final_answer": "-9003703", "answer_type": "integer", "kind": "expression", "math_text": "-2800 * 3214 - 4503", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2800, \"b\": 3214, \"c\": 4503}", "seed": "4751739596274921941", "semantic_fingerprint": "sha256:c73aa7471716de4dab6e501f96bfe5b36704cb4a4cd844e43de46a2045c51b1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000037", "prompt": "Evaluate: (-62076 + 3450) / 9470 * 25803", "solution_steps": ["Add: -62076 + 3450 = -58626", "Divide: -58626 / 9470 = -29313/4735", "Multiply: (-29313/4735) * 25803 = -756363339/4735"], "final_answer": "-756363339/4735", "answer_type": "rational", "kind": "expression", "math_text": "(-62076 + 3450) / 9470 * 25803", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62076, \"b\": 3450, \"c\": 9470, \"d\": 25803}", "seed": "1580537648850653003", "semantic_fingerprint": "sha256:173ea0caab9a9f82c07eec0ba163b8cce4f0bc8a5567bd6d9579e2d4bdc9413a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000038", "prompt": "What is 8165 / (-5903) * 32160?", "solution_steps": ["Divide: 8165 / (-5903) = -8165/5903", "Multiply: (-8165/5903) * 32160 = -262586400/5903"], "final_answer": "-262586400/5903", "answer_type": "rational", "kind": "expression", "math_text": "8165 / (-5903) * 32160", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8165, \"b\": -5903, \"c\": 32160}", "seed": "13696357207771466222", "semantic_fingerprint": "sha256:722f7fb340eee2a244a24351be2e8bfde7600c1f5172f708d446f4a1992af8da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000039", "prompt": "What value of x satisfies 16(x - 9185) - 36286 = 34(x - 6648) + 42390?", "solution_steps": ["Expand: 16x - 146960 - 36286 = 34(x - 6648) + 42390", "Expand: 16x - 146960 - 36286 = 34x - 226032 + 42390", "Combine constants: 16x - 183246 = 34x - 226032 + 42390", "Combine constants: 16x - 183246 = 34x - 183642", "Subtract 34x from both sides: -18x - 183246 = -183642", "Add 183246 to both sides: -18x = -396", "Divide both sides by -18: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 9185) - 36286 = 34(x - 6648) + 42390", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 9185, \"c\": 36286, \"d\": 34, \"e\": 6648, \"g\": 42390, \"x\": 22}", "seed": "301072354540648130", "semantic_fingerprint": "sha256:ae2d0a823a1be1950b12b4d0214b4b09e6a0fcaf5a6f9ac1c1de6ed8ed3245c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000040", "prompt": "Solve the equation 15(x - 34402) - 3094 = x for x.", "solution_steps": ["Expand: 15x - 516030 - 3094 = x", "Combine constants: 15x - 519124 = x", "Subtract x from both sides: 14x - 519124 = 0", "Add 519124 to both sides: 14x = 519124", "Divide both sides by 14: x = 259562/7"], "final_answer": "259562/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 34402) - 3094 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 34402, \"c\": 3094}", "seed": "7936495753139939829", "semantic_fingerprint": "sha256:4d46e8732365a8269ae415df08612d24b72c7824ff858317a85011fe0df879f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000041", "prompt": "Compute: 3128 + (-46594) - (-5604)", "solution_steps": ["Add: 3128 + (-46594) = -43466", "Subtract: -43466 - (-5604) = -37862"], "final_answer": "-37862", "answer_type": "integer", "kind": "expression", "math_text": "3128 + (-46594) - (-5604)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3128, \"b\": -46594, \"c\": -5604}", "seed": "13546107103927156875", "semantic_fingerprint": "sha256:7fd6262cac87cc74bf4bc664485d7b617e0aa508429d24bed60d6b4160df0078", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000042", "prompt": "Evaluate: -4071 * (-4473 + (-5885)) / 58686", "solution_steps": ["Add: -4473 + (-5885) = -10358", "Multiply: -4071 * (-10358) = 42167418", "Divide: 42167418 / 58686 = 7027903/9781"], "final_answer": "7027903/9781", "answer_type": "rational", "kind": "expression", "math_text": "-4071 * (-4473 + (-5885)) / 58686", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4071, \"b\": -4473, \"c\": -5885, \"d\": 58686}", "seed": "12442702588099023789", "semantic_fingerprint": "sha256:ede21a7d492cea9030776ceca7bc3b1deffd40cfd6871c0df83c7e12e5613530", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000043", "prompt": "Solve for x: -18x + 39899 = 41699", "solution_steps": ["Subtract 39899 from both sides: -18x = 1800", "Divide both sides by -18: x = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18x + 39899 = 41699", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 39899, \"d\": 41699, \"x\": -100}", "seed": "6859802187253548541", "semantic_fingerprint": "sha256:0a740c20baaa4303f01664efc722a5fb3d48eae1e27f276686a6ea228869162a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000044", "prompt": "Solve the equation -14(x + 5923) = x for x.", "solution_steps": ["Expand: -14x - 82922 = x", "Subtract x from both sides: -15x - 82922 = 0", "Add 82922 to both sides: -15x = 82922", "Divide both sides by -15: x = -82922/15"], "final_answer": "-82922/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 5923) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 5923}", "seed": "9246390702881682828", "semantic_fingerprint": "sha256:b595a34a024e56889afd92109e52992cbc1720f3542d44e821db90b58980e67c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000045", "prompt": "Calculate: 2378 + (-4978 + 9243) * (-82979)", "solution_steps": ["Add: -4978 + 9243 = 4265", "Multiply: 4265 * (-82979) = -353905435", "Add: 2378 + (-353905435) = -353903057"], "final_answer": "-353903057", "answer_type": "integer", "kind": "expression", "math_text": "2378 + (-4978 + 9243) * (-82979)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2378, \"b\": -4978, \"c\": 9243, \"d\": -82979}", "seed": "105337269192229008", "semantic_fingerprint": "sha256:c7ff89331a59bf7ce434f5710ba3621f86f8c66c33af37654d69895c654afc78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000046", "prompt": "Calculate: -37611 / (-88313 / (-5316))", "solution_steps": ["Divide: -88313 / (-5316) = 88313/5316", "Divide: -37611 / (88313/5316) = -199940076/88313"], "final_answer": "-199940076/88313", "answer_type": "rational", "kind": "expression", "math_text": "-37611 / (-88313 / (-5316))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37611, \"b\": -88313, \"c\": -5316}", "seed": "670161359125163187", "semantic_fingerprint": "sha256:2cde2a130657d5e8cf05ceed533f79df0fdc42493f242992f26cb73d712c5c5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000047", "prompt": "Compute: -18379 * 1627 + (-8346 - (-4459) + 3530)", "solution_steps": ["Multiply: -18379 * 1627 = -29902633", "Subtract: -8346 - (-4459) = -3887", "Add: -3887 + 3530 = -357", "Add: -29902633 + (-357) = -29902990"], "final_answer": "-29902990", "answer_type": "integer", "kind": "expression", "math_text": "-18379 * 1627 + (-8346 - (-4459) + 3530)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -18379, \"b\": 1627, \"c\": -8346, \"d\": -4459, \"e\": 3530}", "seed": "10807786136645904690", "semantic_fingerprint": "sha256:065e489b0c2112f3d15746ff4bc7794f7b0659f288757366ad152d1a0ce4e18e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000048", "prompt": "What is -1687 * 4649?", "solution_steps": ["Multiply: -1687 * 4649 = -7842863"], "final_answer": "-7842863", "answer_type": "integer", "kind": "expression", "math_text": "-1687 * 4649", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1687, \"b\": 4649}", "seed": "2500117607596804078", "semantic_fingerprint": "sha256:7d4a54e023ba80d22ee09fe0e70b4376de897a68d7a36a6bf2ed47fc2c0ffa3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000049", "prompt": "Calculate: -10290 * (-5037)", "solution_steps": ["Multiply: -10290 * (-5037) = 51830730"], "final_answer": "51830730", "answer_type": "integer", "kind": "expression", "math_text": "-10290 * (-5037)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -10290, \"b\": -5037}", "seed": "4596980793674601781", "semantic_fingerprint": "sha256:c6f728a6bbf3c6f52a4a6d5a65079f191bef94d3b4580fa2546fa1619d8fd5db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000050", "prompt": "What value of x satisfies 29(x + 4046) = x - 26570?", "solution_steps": ["Expand: 29x + 117334 = x - 26570", "Subtract x from both sides: 28x + 117334 = -26570", "Subtract 117334 from both sides: 28x = -143904", "Divide both sides by 28: x = -35976/7"], "final_answer": "-35976/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 4046) = x - 26570", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 4046, \"c\": 26570}", "seed": "4572795326584240047", "semantic_fingerprint": "sha256:142af6b0bbb280f0d5e59afaf379a146ed42a014651562cfdf9ed5701d1c6ce0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000051", "prompt": "Evaluate: -81407 + (-1056) / 38494", "solution_steps": ["Divide: -1056 / 38494 = -528/19247", "Add: -81407 + (-528/19247) = -1566841057/19247"], "final_answer": "-1566841057/19247", "answer_type": "rational", "kind": "expression", "math_text": "-81407 + (-1056) / 38494", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81407, \"b\": -1056, \"c\": 38494}", "seed": "11445820017022230843", "semantic_fingerprint": "sha256:9e5a72f149b515f39bcda3be2312739d97f0f3494cab2e98eb7bd6de3660aeee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000052", "prompt": "Compute: 7633 + 87622 - 1940 - (-3878)", "solution_steps": ["Add: 7633 + 87622 = 95255", "Subtract: 95255 - 1940 = 93315", "Subtract: 93315 - (-3878) = 97193"], "final_answer": "97193", "answer_type": "integer", "kind": "expression", "math_text": "7633 + 87622 - 1940 - (-3878)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7633, \"b\": 87622, \"c\": 1940, \"d\": -3878}", "seed": "15043295277143399941", "semantic_fingerprint": "sha256:5aea41ead5b325fae2a9b179f8fe6a3eb9ec55c6d0701cd33607f70d05533fdb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000053", "prompt": "What is 2113 / (4347 - (-47352)) - (-22734)?", "solution_steps": ["Subtract: 4347 - (-47352) = 51699", "Divide: 2113 / 51699 = 2113/51699", "Subtract: 2113/51699 - (-22734) = 1175327179/51699"], "final_answer": "1175327179/51699", "answer_type": "rational", "kind": "expression", "math_text": "2113 / (4347 - (-47352)) - (-22734)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2113, \"b\": 4347, \"c\": -47352, \"d\": -22734}", "seed": "10792821267962251504", "semantic_fingerprint": "sha256:52da12159bea4face7b2eb8d19ae6186a7077e200f85f2bd4a9d4f4943597aa9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000054", "prompt": "Find x: -38x - 7761 = x", "solution_steps": ["Subtract x from both sides: -39x - 7761 = 0", "Add 7761 to both sides: -39x = 7761", "Divide both sides by -39: x = -199"], "final_answer": "-199", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x - 7761 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"c\": -7761, \"x\": -199}", "seed": "14366099659736157074", "semantic_fingerprint": "sha256:af60994fd2ffa64cb02c39d1e765b10670e2bbe58e3e5a7b38b7cdaaecbc6f67", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000055", "prompt": "Compute: -9201 * (2071 - (45171 - (-21349))) / (86840 + 3364)", "solution_steps": ["Subtract: 45171 - (-21349) = 66520", "Subtract: 2071 - 66520 = -64449", "Multiply: -9201 * (-64449) = 592995249", "Add: 86840 + 3364 = 90204", "Divide: 592995249 / 90204 = 197665083/30068"], "final_answer": "197665083/30068", "answer_type": "rational", "kind": "expression", "math_text": "-9201 * (2071 - (45171 - (-21349))) / (86840 + 3364)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- n (- n n))) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9201, \"b\": 2071, \"c\": 45171, \"d\": -21349, \"e\": 86840, \"f\": 3364}", "seed": "1830767059062599510", "semantic_fingerprint": "sha256:6dee7b585638bdb7ea3299b6d487c66a84a294b73072b6dfc610295cbaac83a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000056", "prompt": "Calculate: 5054 + (-9202) - (-60263) - 4090", "solution_steps": ["Add: 5054 + (-9202) = -4148", "Subtract: -4148 - (-60263) = 56115", "Subtract: 56115 - 4090 = 52025"], "final_answer": "52025", "answer_type": "integer", "kind": "expression", "math_text": "5054 + (-9202) - (-60263) - 4090", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5054, \"b\": -9202, \"c\": -60263, \"d\": 4090}", "seed": "10520811349415348225", "semantic_fingerprint": "sha256:2404e34c68573406ffe27e5ce2a7fe3f4f3bae17f4e8e88df83d10410fdd5c53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000057", "prompt": "Calculate: -8509 * (-8968) - (7234 - 4042)", "solution_steps": ["Multiply: -8509 * (-8968) = 76308712", "Subtract: 7234 - 4042 = 3192", "Subtract: 76308712 - 3192 = 76305520"], "final_answer": "76305520", "answer_type": "integer", "kind": "expression", "math_text": "-8509 * (-8968) - (7234 - 4042)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8509, \"b\": -8968, \"c\": 7234, \"d\": 4042}", "seed": "17844977881063948548", "semantic_fingerprint": "sha256:6ff3e883fe0d9e03e773c4d1a49c85d7ebcf4ee48666a8b07e4d5028dade81b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000058", "prompt": "What is -8248 / (-23852)?", "solution_steps": ["Divide: -8248 / (-23852) = 2062/5963"], "final_answer": "2062/5963", "answer_type": "rational", "kind": "expression", "math_text": "-8248 / (-23852)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8248, \"b\": -23852}", "seed": "7998425846978908029", "semantic_fingerprint": "sha256:dc7a97e37a76d1fff6964930b4fb3b48d6bd81c189e84811c0c383660738415b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000059", "prompt": "Solve the equation 23x - 1528 = x for x.", "solution_steps": ["Subtract x from both sides: 22x - 1528 = 0", "Add 1528 to both sides: 22x = 1528", "Divide both sides by 22: x = 764/11"], "final_answer": "764/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x - 1528 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1528}", "seed": "9747374375202488958", "semantic_fingerprint": "sha256:9e5c98e71102db95acd33bf88fd90fd943ae50f15359c48cf33bc30e7bb5ea3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000060", "prompt": "Solve the equation 32(x + 9211) - 3576 = -6355 for x.", "solution_steps": ["Expand: 32x + 294752 - 3576 = -6355", "Combine constants: 32x + 291176 = -6355", "Subtract 291176 from both sides: 32x = -297531", "Divide both sides by 32: x = -297531/32"], "final_answer": "-297531/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 9211) - 3576 = -6355", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 9211, \"c\": 3576, \"d\": -6355}", "seed": "10046439008033534488", "semantic_fingerprint": "sha256:f719e79037f956a4104df4523b42aa33fffed3fd50a744e9a2513a474321decd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000061", "prompt": "What value of x satisfies -18(x - 1443) - 9580 = 20x + 19776?", "solution_steps": ["Expand: -18x + 25974 - 9580 = 20x + 19776", "Combine constants: -18x + 16394 = 20x + 19776", "Subtract 20x from both sides: -38x + 16394 = 19776", "Subtract 16394 from both sides: -38x = 3382", "Divide both sides by -38: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 1443) - 9580 = 20x + 19776", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 1443, \"c\": 9580, \"d\": 20, \"f\": 19776, \"x\": -89}", "seed": "17915948257331641900", "semantic_fingerprint": "sha256:98abc62cde1a1ebcdf2b77f285ab999143c00ffeccd33b7456c41079e473abaa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000062", "prompt": "Calculate: -9812 + (-9701 - 33568)", "solution_steps": ["Subtract: -9701 - 33568 = -43269", "Add: -9812 + (-43269) = -53081"], "final_answer": "-53081", "answer_type": "integer", "kind": "expression", "math_text": "-9812 + (-9701 - 33568)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9812, \"b\": -9701, \"c\": 33568}", "seed": "2304239836473720841", "semantic_fingerprint": "sha256:f7e69e31e746a268b06be370d595ddcf90ce2b3a9610e417cb72cc8ae9525b54", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000063", "prompt": "What is 9990 + (-62898) - (37460 - 89743 - 33268)?", "solution_steps": ["Add: 9990 + (-62898) = -52908", "Subtract: 37460 - 89743 = -52283", "Subtract: -52283 - 33268 = -85551", "Subtract: -52908 - (-85551) = 32643"], "final_answer": "32643", "answer_type": "integer", "kind": "expression", "math_text": "9990 + (-62898) - (37460 - 89743 - 33268)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9990, \"b\": -62898, \"c\": 37460, \"d\": 89743, \"e\": 33268}", "seed": "1240658289312166778", "semantic_fingerprint": "sha256:1e10e6f4fcce186e9928b4b75d212832a0b902dd364df265951b65908d60955b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000064", "prompt": "Evaluate: -4487 / (-8936 + 90933)", "solution_steps": ["Add: -8936 + 90933 = 81997", "Divide: -4487 / 81997 = -4487/81997"], "final_answer": "-4487/81997", "answer_type": "rational", "kind": "expression", "math_text": "-4487 / (-8936 + 90933)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4487, \"b\": -8936, \"c\": 90933}", "seed": "15183924995341933642", "semantic_fingerprint": "sha256:19ba1eeec574cf233a4e48cb52a59b16cef036055da0a94cf9175dbbe51c041d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000065", "prompt": "Compute: -3148 / (-87495) + (-4523)", "solution_steps": ["Divide: -3148 / (-87495) = 3148/87495", "Add: 3148/87495 + (-4523) = -395736737/87495"], "final_answer": "-395736737/87495", "answer_type": "rational", "kind": "expression", "math_text": "-3148 / (-87495) + (-4523)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3148, \"b\": -87495, \"c\": -4523}", "seed": "12455627030399273262", "semantic_fingerprint": "sha256:00e52e7219a1232ad35e1168098cf1cf7291096b40ee562ce81e641519e7d619", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000066", "prompt": "Evaluate: 9740 - 80188 / 5844 * 1797", "solution_steps": ["Divide: 80188 / 5844 = 20047/1461", "Multiply: (20047/1461) * 1797 = 12008153/487", "Subtract: 9740 - 12008153/487 = -7264773/487"], "final_answer": "-7264773/487", "answer_type": "rational", "kind": "expression", "math_text": "9740 - 80188 / 5844 * 1797", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9740, \"b\": 80188, \"c\": 5844, \"d\": 1797}", "seed": "15532957627993812171", "semantic_fingerprint": "sha256:e52807c51e8c6ae1606ad0446dc07e8b93e61dd371ced841d9198f1e17b2fa59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000067", "prompt": "What value of x satisfies -36x = 19x + 49326?", "solution_steps": ["Subtract 19x from both sides: -55x = 49326", "Divide both sides by -55: x = -49326/55"], "final_answer": "-49326/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36x = 19x + 49326", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 19, \"c\": 49326}", "seed": "12665331455155216192", "semantic_fingerprint": "sha256:e708cc75b38c0da6cc684508c8ce56ce5bf3a58ff2393130692b01751f7bbd7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000068", "prompt": "What value of x satisfies x = 18(x - 6672) - 74681?", "solution_steps": ["Expand: x = 18x - 120096 - 74681", "Combine constants: x = 18x - 194777", "Subtract 18x from both sides: -17x = -194777", "Divide both sides by -17: x = 194777/17"], "final_answer": "194777/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 18(x - 6672) - 74681", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 6672, \"c\": 74681}", "seed": "6691443055314943320", "semantic_fingerprint": "sha256:301da23344bdbc98302611ce7057dcd676020f0ee89e990812ac985c41ecf351", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000069", "prompt": "Compute: -2910 + (-23440)", "solution_steps": ["Add: -2910 + (-23440) = -26350"], "final_answer": "-26350", "answer_type": "integer", "kind": "expression", "math_text": "-2910 + (-23440)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2910, \"b\": -23440}", "seed": "12409446088269870385", "semantic_fingerprint": "sha256:c843f8aa7ac2bc010d775be800fe8e0826b885201b041cee8fae6adb3cc424f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000070", "prompt": "What is -4244 * (-28045 + 74450)?", "solution_steps": ["Add: -28045 + 74450 = 46405", "Multiply: -4244 * 46405 = -196942820"], "final_answer": "-196942820", "answer_type": "integer", "kind": "expression", "math_text": "-4244 * (-28045 + 74450)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4244, \"b\": -28045, \"c\": 74450}", "seed": "11166023338204062986", "semantic_fingerprint": "sha256:623448957acf67e6e06bc2cd5ebc8d887a513cafa9783ed4d4771feffd225e7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000071", "prompt": "Evaluate: 5448 * 38859 - (-86892) * 80177", "solution_steps": ["Multiply: 5448 * 38859 = 211703832", "Multiply: -86892 * 80177 = -6966739884", "Subtract: 211703832 - (-6966739884) = 7178443716"], "final_answer": "7178443716", "answer_type": "integer", "kind": "expression", "math_text": "5448 * 38859 - (-86892) * 80177", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5448, \"b\": 38859, \"c\": -86892, \"d\": 80177}", "seed": "16992600525983822801", "semantic_fingerprint": "sha256:04aa67035b07258f7dea5319b36c424982b97f7feb62a13fca993c6c591c0965", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000072", "prompt": "What value of x satisfies -36x - 81599 = 2583?", "solution_steps": ["Add 81599 to both sides: -36x = 84182", "Divide both sides by -36: x = -42091/18"], "final_answer": "-42091/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36x - 81599 = 2583", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 81599, \"c\": 2583}", "seed": "15917858901750916725", "semantic_fingerprint": "sha256:6c34c3ba1980206e48184cf56c5cb84cad4b0b55897f8902c17285bc7d16e681", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000073", "prompt": "Evaluate: -66715 * (-3255)", "solution_steps": ["Multiply: -66715 * (-3255) = 217157325"], "final_answer": "217157325", "answer_type": "integer", "kind": "expression", "math_text": "-66715 * (-3255)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -66715, \"b\": -3255}", "seed": "8183914385556514033", "semantic_fingerprint": "sha256:3fe7ac334cf0ecd59df52d989c29508e5f55fbb2007a6c8f2fb788118f3294de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000074", "prompt": "Compute: 29467 * 4596 / 68616", "solution_steps": ["Multiply: 29467 * 4596 = 135430332", "Divide: 135430332 / 68616 = 11285861/5718"], "final_answer": "11285861/5718", "answer_type": "rational", "kind": "expression", "math_text": "29467 * 4596 / 68616", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29467, \"b\": 4596, \"c\": 68616}", "seed": "17583659532649469848", "semantic_fingerprint": "sha256:f4eebd7dbc996b072bbf23f2090491240d5d3962303df3420165d75416b2b5d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000075", "prompt": "Compute: -93868 * (-1015) / (-4344 + (-12923 - 7452)) + (-1352)", "solution_steps": ["Multiply: -93868 * (-1015) = 95276020", "Subtract: -12923 - 7452 = -20375", "Add: -4344 + (-20375) = -24719", "Divide: 95276020 / (-24719) = -95276020/24719", "Add: -95276020/24719 + (-1352) = -128696108/24719"], "final_answer": "-128696108/24719", "answer_type": "rational", "kind": "expression", "math_text": "-93868 * (-1015) / (-4344 + (-12923 - 7452)) + (-1352)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) (+ n (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -93868, \"b\": -1015, \"c\": -4344, \"d\": -12923, \"e\": 7452, \"f\": -1352}", "seed": "10573536127327621691", "semantic_fingerprint": "sha256:f873f2143055ad1ebfb91782df26b4c166c4ee69d919632d57b1efc5bd3d4573", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000076", "prompt": "Evaluate: 4942 / (-87066) * (7906 + 9582)", "solution_steps": ["Divide: 4942 / (-87066) = -353/6219", "Add: 7906 + 9582 = 17488", "Multiply: (-353/6219) * 17488 = -6173264/6219"], "final_answer": "-6173264/6219", "answer_type": "rational", "kind": "expression", "math_text": "4942 / (-87066) * (7906 + 9582)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4942, \"b\": -87066, \"c\": 7906, \"d\": 9582}", "seed": "9797908556307637302", "semantic_fingerprint": "sha256:af2ed2c1459f271b75967bb9e60dff3d8fe681e46d3ba2bc8716d45ff4aac18e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000077", "prompt": "What value of x satisfies 37(x + 87435) - 8966 = 17(x - 4463) + 24080?", "solution_steps": ["Expand: 37x + 3235095 - 8966 = 17(x - 4463) + 24080", "Expand: 37x + 3235095 - 8966 = 17x - 75871 + 24080", "Combine constants: 37x + 3226129 = 17x - 75871 + 24080", "Combine constants: 37x + 3226129 = 17x - 51791", "Subtract 17x from both sides: 20x + 3226129 = -51791", "Subtract 3226129 from both sides: 20x = -3277920", "Divide both sides by 20: x = -163896"], "final_answer": "-163896", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x + 87435) - 8966 = 17(x - 4463) + 24080", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 87435, \"c\": 8966, \"d\": 17, \"e\": 4463, \"f\": 24080}", "seed": "2329634735243216665", "semantic_fingerprint": "sha256:b45f752352a52eb94b4e9001493fe4521f7e11048d6cd716952cbf8fd67634ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000078", "prompt": "What is 7064 / (-48396) - 27059?", "solution_steps": ["Divide: 7064 / (-48396) = -1766/12099", "Subtract: -1766/12099 - 27059 = -327388607/12099"], "final_answer": "-327388607/12099", "answer_type": "rational", "kind": "expression", "math_text": "7064 / (-48396) - 27059", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7064, \"b\": -48396, \"c\": 27059}", "seed": "12956417720295703904", "semantic_fingerprint": "sha256:af8cfc3d9050eed1a147a8a778afe6469eb12b9876e45d06e0e765a5ce5ebe30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000079", "prompt": "Compute: 9445 + (-91548) * (67226 - (-5933))", "solution_steps": ["Subtract: 67226 - (-5933) = 73159", "Multiply: -91548 * 73159 = -6697560132", "Add: 9445 + (-6697560132) = -6697550687"], "final_answer": "-6697550687", "answer_type": "integer", "kind": "expression", "math_text": "9445 + (-91548) * (67226 - (-5933))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9445, \"b\": -91548, \"c\": 67226, \"d\": -5933}", "seed": "15372186937017468484", "semantic_fingerprint": "sha256:c90f937b2ebb62ef72bf6049100972179863794f3fabc2c67799f2a640bae9a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000080", "prompt": "Calculate: 3776 * 6797", "solution_steps": ["Multiply: 3776 * 6797 = 25665472"], "final_answer": "25665472", "answer_type": "integer", "kind": "expression", "math_text": "3776 * 6797", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3776, \"b\": 6797}", "seed": "2578315979188821667", "semantic_fingerprint": "sha256:9be08949e0a89279e7f294f5dd3203e2941185e2be4a68fb0cea715a89566f02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000081", "prompt": "Evaluate: -60517 / (-9758) - (-2485) * 3753", "solution_steps": ["Divide: -60517 / (-9758) = 60517/9758", "Multiply: -2485 * 3753 = -9326205", "Subtract: 60517/9758 - (-9326205) = 91005168907/9758"], "final_answer": "91005168907/9758", "answer_type": "rational", "kind": "expression", "math_text": "-60517 / (-9758) - (-2485) * 3753", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -60517, \"b\": -9758, \"c\": -2485, \"d\": 3753}", "seed": "12714413752713162095", "semantic_fingerprint": "sha256:9bc6f84043b859929908773f394ffe3c134c5b33e574f412711611003d9f5ab2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000082", "prompt": "What is 8055 / (81694 + (-6772)) - 3171?", "solution_steps": ["Add: 81694 + (-6772) = 74922", "Divide: 8055 / 74922 = 2685/24974", "Subtract: 2685/24974 - 3171 = -79189869/24974"], "final_answer": "-79189869/24974", "answer_type": "rational", "kind": "expression", "math_text": "8055 / (81694 + (-6772)) - 3171", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8055, \"b\": 81694, \"c\": -6772, \"d\": 3171}", "seed": "12756909268094702143", "semantic_fingerprint": "sha256:dc357efc89407abbc5c6917219acb0133af4093b5c27d6c46f5e666077b138e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000083", "prompt": "Compute: 92436 * 13493 + 12601", "solution_steps": ["Multiply: 92436 * 13493 = 1247238948", "Add: 1247238948 + 12601 = 1247251549"], "final_answer": "1247251549", "answer_type": "integer", "kind": "expression", "math_text": "92436 * 13493 + 12601", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 92436, \"b\": 13493, \"c\": 12601}", "seed": "1414732549755403667", "semantic_fingerprint": "sha256:bb1e91ad2954b4cba5a6174a7279816182b405d0a370635844f9d07b14c54ac5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000084", "prompt": "Calculate: -4892 * 9219", "solution_steps": ["Multiply: -4892 * 9219 = -45099348"], "final_answer": "-45099348", "answer_type": "integer", "kind": "expression", "math_text": "-4892 * 9219", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4892, \"b\": 9219}", "seed": "10614763495432249047", "semantic_fingerprint": "sha256:82be916b46a4b7522517ec5ece47400b78894579343b65ff8104c3c7c136842c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000085", "prompt": "Evaluate: 4588 + (-8603)", "solution_steps": ["Add: 4588 + (-8603) = -4015"], "final_answer": "-4015", "answer_type": "integer", "kind": "expression", "math_text": "4588 + (-8603)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4588, \"b\": -8603}", "seed": "4065032152780287845", "semantic_fingerprint": "sha256:8208f23eeb39fd720ce06853b61a62b2aeddf35176d3f85d22e62e68a7b7b252", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000086", "prompt": "Evaluate: 4808 - (7469 - 4200 / 5260)", "solution_steps": ["Divide: 4200 / 5260 = 210/263", "Subtract: 7469 - 210/263 = 1964137/263", "Subtract: 4808 - 1964137/263 = -699633/263"], "final_answer": "-699633/263", "answer_type": "rational", "kind": "expression", "math_text": "4808 - (7469 - 4200 / 5260)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4808, \"b\": 7469, \"c\": 4200, \"d\": 5260}", "seed": "5949216478187362538", "semantic_fingerprint": "sha256:7c5eca0eec184e4994b50beceaa63a1b3982121ffd57b9c13753efc5f1429af9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000087", "prompt": "Compute: -49490 - (-6523) + 4962 * (-41511)", "solution_steps": ["Subtract: -49490 - (-6523) = -42967", "Multiply: 4962 * (-41511) = -205977582", "Add: -42967 + (-205977582) = -206020549"], "final_answer": "-206020549", "answer_type": "integer", "kind": "expression", "math_text": "-49490 - (-6523) + 4962 * (-41511)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -49490, \"b\": -6523, \"c\": 4962, \"d\": -41511}", "seed": "16324076030693961147", "semantic_fingerprint": "sha256:b08ef87b52b6f034a155bb336921557e7b496eb9a42c553492f53a6ef843af7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000088", "prompt": "Solve for x: 19x = -26x + 8370", "solution_steps": ["Add 26x to both sides: 45x = 8370", "Divide both sides by 45: x = 186"], "final_answer": "186", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = -26x + 8370", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": -26, \"d\": 8370, \"x\": 186}", "seed": "5673773950979649995", "semantic_fingerprint": "sha256:c91324938370ac3644c223e3d17017158921fdc0d9194705a37935969a3c3182", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000089", "prompt": "What value of x satisfies -19(x - 62016) - 4755 = -13(x + 78198) - 79281?", "solution_steps": ["Expand: -19x + 1178304 - 4755 = -13(x + 78198) - 79281", "Expand: -19x + 1178304 - 4755 = -13x - 1016574 - 79281", "Combine constants: -19x + 1173549 = -13x - 1016574 - 79281", "Combine constants: -19x + 1173549 = -13x - 1095855", "Add 13x to both sides: -6x + 1173549 = -1095855", "Subtract 1173549 from both sides: -6x = -2269404", "Divide both sides by -6: x = 378234"], "final_answer": "378234", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x - 62016) - 4755 = -13(x + 78198) - 79281", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 62016, \"c\": 4755, \"d\": -13, \"e\": 78198, \"f\": 79281}", "seed": "503244645017468171", "semantic_fingerprint": "sha256:4c35703c550293f1d23bb0811e52f797a91c2d0e3d1c057bd2e879c28eabf324", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000090", "prompt": "Solve for x: 15(x - 96610) = x + 5442", "solution_steps": ["Expand: 15x - 1449150 = x + 5442", "Subtract x from both sides: 14x - 1449150 = 5442", "Add 1449150 to both sides: 14x = 1454592", "Divide both sides by 14: x = 727296/7"], "final_answer": "727296/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 96610) = x + 5442", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 96610, \"c\": 5442}", "seed": "12870835634832272955", "semantic_fingerprint": "sha256:0643d04fc9df20b027a001f5a68fa223e834f74f3721a04722dc3499c578445d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000091", "prompt": "Calculate: (-59606 * (-6996) - 5477) / (-70430) + 7797", "solution_steps": ["Multiply: -59606 * (-6996) = 417003576", "Subtract: 417003576 - 5477 = 416998099", "Divide: 416998099 / (-70430) = -416998099/70430", "Add: -416998099/70430 + 7797 = 132144611/70430"], "final_answer": "132144611/70430", "answer_type": "rational", "kind": "expression", "math_text": "(-59606 * (-6996) - 5477) / (-70430) + 7797", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -59606, \"b\": -6996, \"c\": 5477, \"d\": -70430, \"e\": 7797}", "seed": "18181201157088587758", "semantic_fingerprint": "sha256:c6eb541a9972c16d09bc1469eeac7b685088aa7243ed10f064e0a814be980e20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000092", "prompt": "Evaluate: 5770 + (4385 + 2306)", "solution_steps": ["Add: 4385 + 2306 = 6691", "Add: 5770 + 6691 = 12461"], "final_answer": "12461", "answer_type": "integer", "kind": "expression", "math_text": "5770 + (4385 + 2306)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5770, \"b\": 4385, \"c\": 2306}", "seed": "9782884569455299089", "semantic_fingerprint": "sha256:4496b12d58d796cecd838c0350550f71e485967a641466096ccdd987303f7aac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000093", "prompt": "What is -41723 / (-5493)?", "solution_steps": ["Divide: -41723 / (-5493) = 41723/5493"], "final_answer": "41723/5493", "answer_type": "rational", "kind": "expression", "math_text": "-41723 / (-5493)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41723, \"b\": -5493}", "seed": "4164385106705794013", "semantic_fingerprint": "sha256:eca3595e62768b2db885970116a8228bb7237ac0811e910eeb1ea8e7ad23a5ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000094", "prompt": "Calculate: (-65866 + 3844) * 6974 / 65358", "solution_steps": ["Add: -65866 + 3844 = -62022", "Multiply: -62022 * 6974 = -432541428", "Divide: -432541428 / 65358 = -72090238/10893"], "final_answer": "-72090238/10893", "answer_type": "rational", "kind": "expression", "math_text": "(-65866 + 3844) * 6974 / 65358", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -65866, \"b\": 3844, \"c\": 6974, \"d\": 65358}", "seed": "16144256061691714352", "semantic_fingerprint": "sha256:24a627138cce83e77ffacd56ce05c2db0073a99f44dbb05c2cdf3cae03c2db05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000095", "prompt": "Solve the equation 19(x - 6629) - 7460 = -25(x + 29909) for x.", "solution_steps": ["Expand: 19x - 125951 - 7460 = -25(x + 29909)", "Expand: 19x - 125951 - 7460 = -25x - 747725", "Combine constants: 19x - 133411 = -25x - 747725", "Add 25x to both sides: 44x - 133411 = -747725", "Add 133411 to both sides: 44x = -614314", "Divide both sides by 44: x = -307157/22"], "final_answer": "-307157/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x - 6629) - 7460 = -25(x + 29909)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 6629, \"c\": 7460, \"d\": -25, \"e\": 29909}", "seed": "1275719388768053548", "semantic_fingerprint": "sha256:23cd0005e84b186b0cd2a15c1861c1b8bbcb3665639f3c0129da57eb97f3cc6f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000096", "prompt": "Compute: (-4083 - 61466) / (-3225)", "solution_steps": ["Subtract: -4083 - 61466 = -65549", "Divide: -65549 / (-3225) = 65549/3225"], "final_answer": "65549/3225", "answer_type": "rational", "kind": "expression", "math_text": "(-4083 - 61466) / (-3225)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4083, \"b\": 61466, \"c\": -3225}", "seed": "13984335397403135215", "semantic_fingerprint": "sha256:2534723a16ff6aa57e5040c716c6e710c25fc3af3468cf144552a5ee2ae64424", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000097", "prompt": "Compute: 14396 * 93680", "solution_steps": ["Multiply: 14396 * 93680 = 1348617280"], "final_answer": "1348617280", "answer_type": "integer", "kind": "expression", "math_text": "14396 * 93680", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 14396, \"b\": 93680}", "seed": "6861223834317265110", "semantic_fingerprint": "sha256:43213ac82cfb34d89b917690c277396c0a30d1b434739a4c816a705990a6770a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000098", "prompt": "What value of x satisfies -38x = 31x + 12006?", "solution_steps": ["Subtract 31x from both sides: -69x = 12006", "Divide both sides by -69: x = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x = 31x + 12006", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 31, \"d\": 12006, \"x\": -174}", "seed": "6944684515023845091", "semantic_fingerprint": "sha256:bb436788cbee26427db9ead464d2dd676c584f6df0bb4750093104b73746a798", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000099", "prompt": "Solve the equation 31(x - 4145) = 22(x - 7546) + 30604 for x.", "solution_steps": ["Expand: 31x - 128495 = 22(x - 7546) + 30604", "Expand: 31x - 128495 = 22x - 166012 + 30604", "Combine constants: 31x - 128495 = 22x - 135408", "Subtract 22x from both sides: 9x - 128495 = -135408", "Add 128495 to both sides: 9x = -6913", "Divide both sides by 9: x = -6913/9"], "final_answer": "-6913/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 4145) = 22(x - 7546) + 30604", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 4145, \"c\": 22, \"d\": 7546, \"e\": 30604}", "seed": "1134272197129481721", "semantic_fingerprint": "sha256:ac4a67164b7d4a9f3d6013ee5243f6eae6a5180a59721e2f75ef60a9b6bc4648", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000100", "prompt": "Solve for x: 38(x - 7965) = 26(x - 5381)", "solution_steps": ["Expand: 38x - 302670 = 26(x - 5381)", "Expand: 38x - 302670 = 26x - 139906", "Subtract 26x from both sides: 12x - 302670 = -139906", "Add 302670 to both sides: 12x = 162764", "Divide both sides by 12: x = 40691/3"], "final_answer": "40691/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 7965) = 26(x - 5381)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 7965, \"c\": 26, \"d\": 5381}", "seed": "16756177992007307728", "semantic_fingerprint": "sha256:62898b578504f4e3c5010b21987b770061aca3f1f18a714e522c996feafaf81b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000101", "prompt": "Compute: -25998 * (9406 + 7361)", "solution_steps": ["Add: 9406 + 7361 = 16767", "Multiply: -25998 * 16767 = -435908466"], "final_answer": "-435908466", "answer_type": "integer", "kind": "expression", "math_text": "-25998 * (9406 + 7361)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25998, \"b\": 9406, \"c\": 7361}", "seed": "11779880027993096601", "semantic_fingerprint": "sha256:16f6e672086ae91ec5937b3c49b870662fa705c336090bcad5ae8d9e8c73430e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000102", "prompt": "Compute: -6492 + (-9261)", "solution_steps": ["Add: -6492 + (-9261) = -15753"], "final_answer": "-15753", "answer_type": "integer", "kind": "expression", "math_text": "-6492 + (-9261)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6492, \"b\": -9261}", "seed": "1201608731464454224", "semantic_fingerprint": "sha256:218f0dc1216bc6f2b36053a586cf2f2c81806450a30ab8e7b42af8c5223c9975", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000103", "prompt": "Calculate: -18783 / 1820", "solution_steps": ["Divide: -18783 / 1820 = -18783/1820"], "final_answer": "-18783/1820", "answer_type": "rational", "kind": "expression", "math_text": "-18783 / 1820", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18783, \"b\": 1820}", "seed": "10133240900833369796", "semantic_fingerprint": "sha256:469fade5de1fffc54862474e869301d5c017de8b405817a17bcc687163cec2d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000104", "prompt": "What value of x satisfies 37(x + 42621) = x?", "solution_steps": ["Expand: 37x + 1576977 = x", "Subtract x from both sides: 36x + 1576977 = 0", "Subtract 1576977 from both sides: 36x = -1576977", "Divide both sides by 36: x = -525659/12"], "final_answer": "-525659/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 42621) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 42621}", "seed": "13710331459265393883", "semantic_fingerprint": "sha256:c8029f80e123a9ebc8506c18d167737f45d214470a472315a2c355baad160df9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000105", "prompt": "Evaluate: (-2519 * (-3293) + (7971 - 79280)) * 8147", "solution_steps": ["Multiply: -2519 * (-3293) = 8295067", "Subtract: 7971 - 79280 = -71309", "Add: 8295067 + (-71309) = 8223758", "Multiply: 8223758 * 8147 = 66998956426"], "final_answer": "66998956426", "answer_type": "integer", "kind": "expression", "math_text": "(-2519 * (-3293) + (7971 - 79280)) * 8147", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2519, \"b\": -3293, \"c\": 7971, \"d\": 79280, \"e\": 8147}", "seed": "701854242544174057", "semantic_fingerprint": "sha256:021ad7b62b5af8eb25c7290da23ba8f9545f2c8a7ad269508cbd5c20a208156e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000106", "prompt": "Find x: -21(x - 1330) - 8181 = 21(x - 12424) + 5052", "solution_steps": ["Expand: -21x + 27930 - 8181 = 21(x - 12424) + 5052", "Expand: -21x + 27930 - 8181 = 21x - 260904 + 5052", "Combine constants: -21x + 19749 = 21x - 260904 + 5052", "Combine constants: -21x + 19749 = 21x - 255852", "Subtract 21x from both sides: -42x + 19749 = -255852", "Subtract 19749 from both sides: -42x = -275601", "Divide both sides by -42: x = 91867/14"], "final_answer": "91867/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 1330) - 8181 = 21(x - 12424) + 5052", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 1330, \"c\": 8181, \"d\": 21, \"e\": 12424, \"f\": 5052}", "seed": "5945943124971455615", "semantic_fingerprint": "sha256:b1b7b60a45a3d93d8f696f08221f93d6dbb7abcfa4a59ff74ef4e2262ef2e353", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000107", "prompt": "Evaluate: 7495 + (-8668)", "solution_steps": ["Add: 7495 + (-8668) = -1173"], "final_answer": "-1173", "answer_type": "integer", "kind": "expression", "math_text": "7495 + (-8668)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7495, \"b\": -8668}", "seed": "10507305993620102366", "semantic_fingerprint": "sha256:81ff1d5ad25dac9e1be6deb01230631f3fbd816903eb8ecc25485870d5feef73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000108", "prompt": "Evaluate: -27888 - (-5387)", "solution_steps": ["Subtract: -27888 - (-5387) = -22501"], "final_answer": "-22501", "answer_type": "integer", "kind": "expression", "math_text": "-27888 - (-5387)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -27888, \"b\": -5387}", "seed": "8223355649095232251", "semantic_fingerprint": "sha256:f2e53c794c29a1e900c281a1a13ba96d3f95464a8661112264fa0cb7fa4c24b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000109", "prompt": "Evaluate: -70110 - 33486 + (-7437) - 35903", "solution_steps": ["Subtract: -70110 - 33486 = -103596", "Add: -103596 + (-7437) = -111033", "Subtract: -111033 - 35903 = -146936"], "final_answer": "-146936", "answer_type": "integer", "kind": "expression", "math_text": "-70110 - 33486 + (-7437) - 35903", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -70110, \"b\": 33486, \"c\": -7437, \"d\": 35903}", "seed": "17206243246635667843", "semantic_fingerprint": "sha256:1b12823281c8747b56913693763b5ec13a29a8e02858e78222935d4af4762cae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000110", "prompt": "What is 14056 * (-6491 + 3748)?", "solution_steps": ["Add: -6491 + 3748 = -2743", "Multiply: 14056 * (-2743) = -38555608"], "final_answer": "-38555608", "answer_type": "integer", "kind": "expression", "math_text": "14056 * (-6491 + 3748)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14056, \"b\": -6491, \"c\": 3748}", "seed": "11425662010716512742", "semantic_fingerprint": "sha256:c1137e4506c034314921996a0b49ce9bc84ad703a10f9413fa9b42292f04e877", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000111", "prompt": "Calculate: 1552 + (-93332)", "solution_steps": ["Add: 1552 + (-93332) = -91780"], "final_answer": "-91780", "answer_type": "integer", "kind": "expression", "math_text": "1552 + (-93332)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1552, \"b\": -93332}", "seed": "13472335450872114477", "semantic_fingerprint": "sha256:ff8caf8e62a151f889787e4d34fdd56c46b802a600972fdaa40c6a31fae52792", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000112", "prompt": "Compute: -1611 * (-53310 - (-6460) + (-5428 * 5846 - 2005))", "solution_steps": ["Subtract: -53310 - (-6460) = -46850", "Multiply: -5428 * 5846 = -31732088", "Subtract: -31732088 - 2005 = -31734093", "Add: -46850 + (-31734093) = -31780943", "Multiply: -1611 * (-31780943) = 51199099173"], "final_answer": "51199099173", "answer_type": "integer", "kind": "expression", "math_text": "-1611 * (-53310 - (-6460) + (-5428 * 5846 - 2005))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- n n) (- (* n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1611, \"b\": -53310, \"c\": -6460, \"d\": -5428, \"e\": 5846, \"f\": 2005}", "seed": "10242221024050461568", "semantic_fingerprint": "sha256:96644a17cd91ce2c4f9d73b11ff9abbfdfc5bdec463681a785bb7e28ea2b904e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000113", "prompt": "Evaluate: 2256 / 86676 * (-27528)", "solution_steps": ["Divide: 2256 / 86676 = 188/7223", "Multiply: (188/7223) * (-27528) = -166944/233"], "final_answer": "-166944/233", "answer_type": "rational", "kind": "expression", "math_text": "2256 / 86676 * (-27528)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2256, \"b\": 86676, \"c\": -27528}", "seed": "16166880843200595032", "semantic_fingerprint": "sha256:36f067d7b298f98a22b15d2eb1c203807836191362f83fbda45df7c6e3848cee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000114", "prompt": "What is 33965 / (-7184)?", "solution_steps": ["Divide: 33965 / (-7184) = -33965/7184"], "final_answer": "-33965/7184", "answer_type": "rational", "kind": "expression", "math_text": "33965 / (-7184)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33965, \"b\": -7184}", "seed": "9318198803554331988", "semantic_fingerprint": "sha256:7822a568ebaf7cc5d4baa1449c5bfb39fd49bc6cbec88e5d06f2c47ecfc2f74a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000115", "prompt": "What is (-2117 + 9175 - (60168 - (-4330))) * (-51613)?", "solution_steps": ["Add: -2117 + 9175 = 7058", "Subtract: 60168 - (-4330) = 64498", "Subtract: 7058 - 64498 = -57440", "Multiply: -57440 * (-51613) = 2964650720"], "final_answer": "2964650720", "answer_type": "integer", "kind": "expression", "math_text": "(-2117 + 9175 - (60168 - (-4330))) * (-51613)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2117, \"b\": 9175, \"c\": 60168, \"d\": -4330, \"e\": -51613}", "seed": "6964066001178131438", "semantic_fingerprint": "sha256:e4a8d74d275dd28b080c9725e3307cc57ab33c227f3867167f6e617e3ab09f4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000116", "prompt": "What value of x satisfies 15(x - 6740) + 98328 = x?", "solution_steps": ["Expand: 15x - 101100 + 98328 = x", "Combine constants: 15x - 2772 = x", "Subtract x from both sides: 14x - 2772 = 0", "Add 2772 to both sides: 14x = 2772", "Divide both sides by 14: x = 198"], "final_answer": "198", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x - 6740) + 98328 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 6740, \"d\": 98328, \"x\": 198}", "seed": "10278362310652982872", "semantic_fingerprint": "sha256:874b64054d195727034cacffd35c204ca6a59bd1f192e45e15604e073ef4b7ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000117", "prompt": "Calculate: -31957 + (-18448) - (-7039) + 28090 * 47531", "solution_steps": ["Add: -31957 + (-18448) = -50405", "Subtract: -50405 - (-7039) = -43366", "Multiply: 28090 * 47531 = 1335145790", "Add: -43366 + 1335145790 = 1335102424"], "final_answer": "1335102424", "answer_type": "integer", "kind": "expression", "math_text": "-31957 + (-18448) - (-7039) + 28090 * 47531", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31957, \"b\": -18448, \"c\": -7039, \"d\": 28090, \"e\": 47531}", "seed": "6766219750903048778", "semantic_fingerprint": "sha256:2a7530f158a3de904c2677773d51fa367af900dfc4711b27dcae9846ac3873c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000118", "prompt": "What is (9139 - 4557) * (-7618)?", "solution_steps": ["Subtract: 9139 - 4557 = 4582", "Multiply: 4582 * (-7618) = -34905676"], "final_answer": "-34905676", "answer_type": "integer", "kind": "expression", "math_text": "(9139 - 4557) * (-7618)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9139, \"b\": 4557, \"c\": -7618}", "seed": "160770263949330875", "semantic_fingerprint": "sha256:474b69c74b4b8eff58e9d32648d9fecd9494c3b9d32ae69b4660f19b003fbb2a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000119", "prompt": "Evaluate: -3083 + 43686", "solution_steps": ["Add: -3083 + 43686 = 40603"], "final_answer": "40603", "answer_type": "integer", "kind": "expression", "math_text": "-3083 + 43686", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3083, \"b\": 43686}", "seed": "15400902682043591694", "semantic_fingerprint": "sha256:64f331a5b0b2df81361b325eac0e9bef9e5032c612190e4ce07b489a37391b68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000120", "prompt": "Solve for x: 35x - 77622 = x - 81260", "solution_steps": ["Subtract x from both sides: 34x - 77622 = -81260", "Add 77622 to both sides: 34x = -3638", "Divide both sides by 34: x = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x - 77622 = x - 81260", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 77622, \"d\": -81260, \"x\": -107}", "seed": "15365892295553260701", "semantic_fingerprint": "sha256:bf0acbdfdf0154cb988d2bc7948fd39ab1cbc36cd5ef084fca45db0841a668f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000121", "prompt": "What is (4346 + (-9667)) * (-5962 - 8463 - 80333 / 8608)?", "solution_steps": ["Add: 4346 + (-9667) = -5321", "Subtract: -5962 - 8463 = -14425", "Divide: 80333 / 8608 = 80333/8608", "Subtract: -14425 - 80333/8608 = -124250733/8608", "Multiply: -5321 * (-124250733/8608) = 661138150293/8608"], "final_answer": "661138150293/8608", "answer_type": "rational", "kind": "expression", "math_text": "(4346 + (-9667)) * (-5962 - 8463 - 80333 / 8608)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (- (- n n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4346, \"b\": -9667, \"c\": -5962, \"d\": 8463, \"e\": 80333, \"f\": 8608}", "seed": "18247204013977468490", "semantic_fingerprint": "sha256:541c44b971b2af732135c76c93c65cf7f79fc19f588d8b5cd32d3256657d3c59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000122", "prompt": "What is (6807 - (-1870)) / (-97634)?", "solution_steps": ["Subtract: 6807 - (-1870) = 8677", "Divide: 8677 / (-97634) = -8677/97634"], "final_answer": "-8677/97634", "answer_type": "rational", "kind": "expression", "math_text": "(6807 - (-1870)) / (-97634)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6807, \"b\": -1870, \"c\": -97634}", "seed": "14595329854511834445", "semantic_fingerprint": "sha256:8f160980debce22262148b21a7a622e9e67a5623a210f9563c03180c09431f3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000123", "prompt": "Evaluate: 19272 + 2694 * 9285 / 1417 - 64725", "solution_steps": ["Multiply: 2694 * 9285 = 25013790", "Divide: 25013790 / 1417 = 25013790/1417", "Add: 19272 + 25013790/1417 = 52322214/1417", "Subtract: 52322214/1417 - 64725 = -39393111/1417"], "final_answer": "-39393111/1417", "answer_type": "rational", "kind": "expression", "math_text": "19272 + 2694 * 9285 / 1417 - 64725", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19272, \"b\": 2694, \"c\": 9285, \"d\": 1417, \"e\": 64725}", "seed": "16189948877734215072", "semantic_fingerprint": "sha256:6408ba08e6e1550e20c5feb0742b0fe2ada61db7bbf6477f68ffab2d0319b4f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000124", "prompt": "Solve for x: 35(x - 1587) + 25997 = x + 15856", "solution_steps": ["Expand: 35x - 55545 + 25997 = x + 15856", "Combine constants: 35x - 29548 = x + 15856", "Subtract x from both sides: 34x - 29548 = 15856", "Add 29548 to both sides: 34x = 45404", "Divide both sides by 34: x = 22702/17"], "final_answer": "22702/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 1587) + 25997 = x + 15856", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 1587, \"c\": 25997, \"d\": 15856}", "seed": "6146799184573321950", "semantic_fingerprint": "sha256:675099d415552cd9912c2201e7df08e97d7ff43a53b587ef1b7f145c541e485a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000125", "prompt": "Evaluate: 5578 * (5713 + (-16506) - (2236 + (-6407)))", "solution_steps": ["Add: 5713 + (-16506) = -10793", "Add: 2236 + (-6407) = -4171", "Subtract: -10793 - (-4171) = -6622", "Multiply: 5578 * (-6622) = -36937516"], "final_answer": "-36937516", "answer_type": "integer", "kind": "expression", "math_text": "5578 * (5713 + (-16506) - (2236 + (-6407)))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5578, \"b\": 5713, \"c\": -16506, \"d\": 2236, \"e\": -6407}", "seed": "17076975398461883901", "semantic_fingerprint": "sha256:29c31094e333c1727ee291b64cb77aefc4566964a179ab3c14b8b71ee9c550bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000126", "prompt": "What is (-8088 + (-7763)) / 4321?", "solution_steps": ["Add: -8088 + (-7763) = -15851", "Divide: -15851 / 4321 = -15851/4321"], "final_answer": "-15851/4321", "answer_type": "rational", "kind": "expression", "math_text": "(-8088 + (-7763)) / 4321", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8088, \"b\": -7763, \"c\": 4321}", "seed": "16254214559660676554", "semantic_fingerprint": "sha256:a63a4852185861e33fc687ca7c8e2ac94ffc58fe6906addc49c44a6680f2aa79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000127", "prompt": "Calculate: -65385 - (-7415) - (-29643) * 58700 + (-86777)", "solution_steps": ["Subtract: -65385 - (-7415) = -57970", "Multiply: -29643 * 58700 = -1740044100", "Subtract: -57970 - (-1740044100) = 1739986130", "Add: 1739986130 + (-86777) = 1739899353"], "final_answer": "1739899353", "answer_type": "integer", "kind": "expression", "math_text": "-65385 - (-7415) - (-29643) * 58700 + (-86777)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -65385, \"b\": -7415, \"c\": -29643, \"d\": 58700, \"e\": -86777}", "seed": "6223885970041057769", "semantic_fingerprint": "sha256:6ec411896d3a762175c5a4936c815fca32d336480a3186c35c76a16a885e4fc1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000128", "prompt": "Evaluate: -3942 * (-5375 / 4320)", "solution_steps": ["Divide: -5375 / 4320 = -1075/864", "Multiply: -3942 * (-1075/864) = 78475/16"], "final_answer": "78475/16", "answer_type": "rational", "kind": "expression", "math_text": "-3942 * (-5375 / 4320)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3942, \"b\": -5375, \"c\": 4320}", "seed": "3918312698767816970", "semantic_fingerprint": "sha256:dbef0021fb48b2c9a5ced432dd8b2d6f5b3dd5a64a68a438c13c43e444191df5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000129", "prompt": "Compute: 2996 / 1637", "solution_steps": ["Divide: 2996 / 1637 = 2996/1637"], "final_answer": "2996/1637", "answer_type": "rational", "kind": "expression", "math_text": "2996 / 1637", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2996, \"b\": 1637}", "seed": "4592676296627244165", "semantic_fingerprint": "sha256:be5ba924007f2f787485ae0475dc96e9425e3b0af0cce1b4bb28165b674cb638", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000130", "prompt": "Solve for x: x = 15(x + 2905) - 42315", "solution_steps": ["Expand: x = 15x + 43575 - 42315", "Combine constants: x = 15x + 1260", "Subtract 15x from both sides: -14x = 1260", "Divide both sides by -14: x = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 15(x + 2905) - 42315", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 2905, \"d\": -42315, \"x\": -90}", "seed": "15159167411380749817", "semantic_fingerprint": "sha256:40dd6fc2b9f3c70fd30c46afd73a1bc3bfd14a7c1b148a85ae06787f622eafe5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000131", "prompt": "What is -49246 - 6184 + (5230 + (-53742 - 7338 * 6476))?", "solution_steps": ["Subtract: -49246 - 6184 = -55430", "Multiply: 7338 * 6476 = 47520888", "Subtract: -53742 - 47520888 = -47574630", "Add: 5230 + (-47574630) = -47569400", "Add: -55430 + (-47569400) = -47624830"], "final_answer": "-47624830", "answer_type": "integer", "kind": "expression", "math_text": "-49246 - 6184 + (5230 + (-53742 - 7338 * 6476))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ n (- n (* n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -49246, \"b\": 6184, \"c\": 5230, \"d\": -53742, \"e\": 7338, \"f\": 6476}", "seed": "8839527334295721263", "semantic_fingerprint": "sha256:408a935036b703c90bcd3ed1c9d3f09c3a2cea3cb8df47a98ee9a277b73a1805", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000132", "prompt": "Compute: -3498 / (7945 - 7893)", "solution_steps": ["Subtract: 7945 - 7893 = 52", "Divide: -3498 / 52 = -1749/26"], "final_answer": "-1749/26", "answer_type": "rational", "kind": "expression", "math_text": "-3498 / (7945 - 7893)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3498, \"b\": 7945, \"c\": 7893}", "seed": "6254843575271163447", "semantic_fingerprint": "sha256:38d57f4570b296128c64b6bb0a695b77da622cd5e7bc78d74787fca36e65987c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000133", "prompt": "Calculate: 63793 / 49648 - (-20785)", "solution_steps": ["Divide: 63793 / 49648 = 63793/49648", "Subtract: 63793/49648 - (-20785) = 1031997473/49648"], "final_answer": "1031997473/49648", "answer_type": "rational", "kind": "expression", "math_text": "63793 / 49648 - (-20785)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63793, \"b\": 49648, \"c\": -20785}", "seed": "1337805765194041324", "semantic_fingerprint": "sha256:13a01383d7ae45739759d63d0ed5de5fd91a9f71152b1414f5bf6c613496bf31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000134", "prompt": "Find x: x - 5909 = -5783", "solution_steps": ["Add 5909 to both sides: x = 126"], "final_answer": "126", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5909 = -5783", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5909, \"c\": -5783, \"x\": 126}", "seed": "8475195009776167828", "semantic_fingerprint": "sha256:913e42dbc714f081793f42594ae11e4c8894a87ca14058e691dc8abadcef2a11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000135", "prompt": "Calculate: 3450 / (-2045) / (-3416)", "solution_steps": ["Divide: 3450 / (-2045) = -690/409", "Divide: (-690/409) / (-3416) = 345/698572"], "final_answer": "345/698572", "answer_type": "rational", "kind": "expression", "math_text": "3450 / (-2045) / (-3416)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3450, \"b\": -2045, \"c\": -3416}", "seed": "10678292848142117819", "semantic_fingerprint": "sha256:97e164a45913cefc4c40a86e7b943245a24295ab9ffa9d7f30b09e52ed3ccc55", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000136", "prompt": "Solve the equation 22(x + 1671) + 84047 = -36(x + 1477) for x.", "solution_steps": ["Expand: 22x + 36762 + 84047 = -36(x + 1477)", "Expand: 22x + 36762 + 84047 = -36x - 53172", "Combine constants: 22x + 120809 = -36x - 53172", "Add 36x to both sides: 58x + 120809 = -53172", "Subtract 120809 from both sides: 58x = -173981", "Divide both sides by 58: x = -173981/58"], "final_answer": "-173981/58", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 1671) + 84047 = -36(x + 1477)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 1671, \"c\": 84047, \"d\": -36, \"e\": 1477}", "seed": "4941349166263429399", "semantic_fingerprint": "sha256:4d4592cc0bbfcc3366ee8a2b0e04f5f6686ba0c0431ff68489c84b7f4a18a206", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000137", "prompt": "Evaluate: -6205 - (-5483)", "solution_steps": ["Subtract: -6205 - (-5483) = -722"], "final_answer": "-722", "answer_type": "integer", "kind": "expression", "math_text": "-6205 - (-5483)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6205, \"b\": -5483}", "seed": "10699724140193078148", "semantic_fingerprint": "sha256:d167f64add96b67f54b2918de85a50388da15bbad8ea5edfebb924b137ba3800", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000138", "prompt": "Evaluate: 2149 - 6822", "solution_steps": ["Subtract: 2149 - 6822 = -4673"], "final_answer": "-4673", "answer_type": "integer", "kind": "expression", "math_text": "2149 - 6822", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2149, \"b\": 6822}", "seed": "4104828570034295854", "semantic_fingerprint": "sha256:94cf49747ad3f4b5803140c832fc8087f3cccf14d5be9d77ede92f50a40383ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000139", "prompt": "Solve for x: -26(x + 5455) = 14(x + 88568) - 89732", "solution_steps": ["Expand: -26x - 141830 = 14(x + 88568) - 89732", "Expand: -26x - 141830 = 14x + 1239952 - 89732", "Combine constants: -26x - 141830 = 14x + 1150220", "Subtract 14x from both sides: -40x - 141830 = 1150220", "Add 141830 to both sides: -40x = 1292050", "Divide both sides by -40: x = -129205/4"], "final_answer": "-129205/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26(x + 5455) = 14(x + 88568) - 89732", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 5455, \"c\": 14, \"d\": 88568, \"e\": 89732}", "seed": "2729149207190543338", "semantic_fingerprint": "sha256:b677b9eae68416a939d290ddd5f6013c1aa95839589629556980cbfdcccb99f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000140", "prompt": "Compute: -3018 / 25934", "solution_steps": ["Divide: -3018 / 25934 = -1509/12967"], "final_answer": "-1509/12967", "answer_type": "rational", "kind": "expression", "math_text": "-3018 / 25934", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3018, \"b\": 25934}", "seed": "11566358232237796368", "semantic_fingerprint": "sha256:41d065ae22894f8a150ac715459ba50ed11550f3100d17d76628ea9ce050de35", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000141", "prompt": "Evaluate: (-7477 + (-8152)) / 2380", "solution_steps": ["Add: -7477 + (-8152) = -15629", "Divide: -15629 / 2380 = -15629/2380"], "final_answer": "-15629/2380", "answer_type": "rational", "kind": "expression", "math_text": "(-7477 + (-8152)) / 2380", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7477, \"b\": -8152, \"c\": 2380}", "seed": "2450227685386908942", "semantic_fingerprint": "sha256:ea9c83dae3ec40dec5ae646c010c18f02716e4b3f1cd9ef43324fcae34bc36b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000142", "prompt": "Compute: 40105 / (-4092) + (-7833)", "solution_steps": ["Divide: 40105 / (-4092) = -40105/4092", "Add: -40105/4092 + (-7833) = -32092741/4092"], "final_answer": "-32092741/4092", "answer_type": "rational", "kind": "expression", "math_text": "40105 / (-4092) + (-7833)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40105, \"b\": -4092, \"c\": -7833}", "seed": "5422648356699749774", "semantic_fingerprint": "sha256:049966d2be8a210cfc04aa2ee5070aa1b2c16a90c96966dd49d8d96e741af6b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000143", "prompt": "Compute: -5864 * (3534 + (-68360) - 16125)", "solution_steps": ["Add: 3534 + (-68360) = -64826", "Subtract: -64826 - 16125 = -80951", "Multiply: -5864 * (-80951) = 474696664"], "final_answer": "474696664", "answer_type": "integer", "kind": "expression", "math_text": "-5864 * (3534 + (-68360) - 16125)", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5864, \"b\": 3534, \"c\": -68360, \"d\": 16125}", "seed": "10400669284117296848", "semantic_fingerprint": "sha256:6b0eaee4b0c30b46c2f288eafa5918f8ebb51578074bfdfd81d7e43f076f8d4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000144", "prompt": "What value of x satisfies -18(x - 2170) - 41920 = x - 3962?", "solution_steps": ["Expand: -18x + 39060 - 41920 = x - 3962", "Combine constants: -18x - 2860 = x - 3962", "Subtract x from both sides: -19x - 2860 = -3962", "Add 2860 to both sides: -19x = -1102", "Divide both sides by -19: x = 58"], "final_answer": "58", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 2170) - 41920 = x - 3962", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 2170, \"c\": 41920, \"e\": -3962, \"x\": 58}", "seed": "16104839915672827906", "semantic_fingerprint": "sha256:bc09ece93086575a77d8b19dd280e02e60f6eef0ee6dc55c5bdbd567d94a0538", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000145", "prompt": "Calculate: 61521 / (7666 - (-33802))", "solution_steps": ["Subtract: 7666 - (-33802) = 41468", "Divide: 61521 / 41468 = 61521/41468"], "final_answer": "61521/41468", "answer_type": "rational", "kind": "expression", "math_text": "61521 / (7666 - (-33802))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61521, \"b\": 7666, \"c\": -33802}", "seed": "6956132428191476265", "semantic_fingerprint": "sha256:8da1a0401dc863a57ab0878509b9dd5dbc7758f93c8d06cf303394216c062d34", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000146", "prompt": "Find x: x + 4154 = 14(x - 4022) + 57914", "solution_steps": ["Expand: x + 4154 = 14x - 56308 + 57914", "Combine constants: x + 4154 = 14x + 1606", "Subtract 14x from both sides: -13x + 4154 = 1606", "Subtract 4154 from both sides: -13x = -2548", "Divide both sides by -13: x = 196"], "final_answer": "196", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4154 = 14(x - 4022) + 57914", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4154, \"b\": 14, \"c\": 4022, \"e\": 57914, \"x\": 196}", "seed": "1514715504597851606", "semantic_fingerprint": "sha256:7c0b629c8406386851b32e3d889d46c2c8d704c1b417b0c483d562a8f35c42c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000147", "prompt": "Find x: x + 7266 = 21(x - 45067)", "solution_steps": ["Expand: x + 7266 = 21x - 946407", "Subtract 21x from both sides: -20x + 7266 = -946407", "Subtract 7266 from both sides: -20x = -953673", "Divide both sides by -20: x = 953673/20"], "final_answer": "953673/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 7266 = 21(x - 45067)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7266, \"b\": 21, \"c\": 45067}", "seed": "13209667350073799892", "semantic_fingerprint": "sha256:eaf8cde3604859b41a037575636b2396117130b58c4f3cf6544c408f70793d48", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000148", "prompt": "Calculate: 69147 * (-28004)", "solution_steps": ["Multiply: 69147 * (-28004) = -1936392588"], "final_answer": "-1936392588", "answer_type": "integer", "kind": "expression", "math_text": "69147 * (-28004)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 69147, \"b\": -28004}", "seed": "10955324145257169725", "semantic_fingerprint": "sha256:84bfb1b681c2592c00829cc1f71ee741013eef6a23ca33d845b7b94bcf05ac22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000149", "prompt": "Solve the equation x - 1785 = 18x for x.", "solution_steps": ["Subtract 18x from both sides: -17x - 1785 = 0", "Add 1785 to both sides: -17x = 1785", "Divide both sides by -17: x = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1785 = 18x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": -1785, \"x\": -105}", "seed": "5042451682679608179", "semantic_fingerprint": "sha256:c3dace47a58530c8007252cf17cbbbe2676e8b619a368e0b5b710f910dca784a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000150", "prompt": "What is -5001 + (1555 + 9168)?", "solution_steps": ["Add: 1555 + 9168 = 10723", "Add: -5001 + 10723 = 5722"], "final_answer": "5722", "answer_type": "integer", "kind": "expression", "math_text": "-5001 + (1555 + 9168)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5001, \"b\": 1555, \"c\": 9168}", "seed": "2955405464062071132", "semantic_fingerprint": "sha256:eb8b1ceca894705479bdd03ce5468c56b2361458e5e8cab70a8d289b2c93d0a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000151", "prompt": "Calculate: 1905 + (3788 - (-8445))", "solution_steps": ["Subtract: 3788 - (-8445) = 12233", "Add: 1905 + 12233 = 14138"], "final_answer": "14138", "answer_type": "integer", "kind": "expression", "math_text": "1905 + (3788 - (-8445))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1905, \"b\": 3788, \"c\": -8445}", "seed": "12676621405229381292", "semantic_fingerprint": "sha256:3a41f853fb5d7647718485089e45d124f7a5a2f10a1eb4d5c153cbbb237ecc26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000152", "prompt": "Evaluate: -3723 + (-73565) - 3162 + (-41150 + 2304)", "solution_steps": ["Add: -3723 + (-73565) = -77288", "Subtract: -77288 - 3162 = -80450", "Add: -41150 + 2304 = -38846", "Add: -80450 + (-38846) = -119296"], "final_answer": "-119296", "answer_type": "integer", "kind": "expression", "math_text": "-3723 + (-73565) - 3162 + (-41150 + 2304)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3723, \"b\": -73565, \"c\": 3162, \"d\": -41150, \"e\": 2304}", "seed": "12114705776316952649", "semantic_fingerprint": "sha256:7052afb0370b835b7c6f3c3161a79570afacdb79597f2fc44db32a48b2c69af2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000153", "prompt": "Compute: 4513 * (-3164 + (-35058)) + (-87900)", "solution_steps": ["Add: -3164 + (-35058) = -38222", "Multiply: 4513 * (-38222) = -172495886", "Add: -172495886 + (-87900) = -172583786"], "final_answer": "-172583786", "answer_type": "integer", "kind": "expression", "math_text": "4513 * (-3164 + (-35058)) + (-87900)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4513, \"b\": -3164, \"c\": -35058, \"d\": -87900}", "seed": "5598461232926032012", "semantic_fingerprint": "sha256:429136777bc502cd2c6d713b88c8ec70f2cb0e571756fee683f1e8da6f65d6a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000154", "prompt": "Find x: 14x = 38x", "solution_steps": ["Subtract 38x from both sides: -24x = 0", "Divide both sides by -24: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = 38x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 38}", "seed": "2017114546672887411", "semantic_fingerprint": "sha256:e85c0e8d7f6d34148c4b3f6aeeeff27a4c0653d5401ab23fc97d1411c841d97a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000155", "prompt": "Calculate: 94875 + (-4015) - (-1145) / (-55361 + 7940)", "solution_steps": ["Add: 94875 + (-4015) = 90860", "Add: -55361 + 7940 = -47421", "Divide: -1145 / (-47421) = 1145/47421", "Subtract: 90860 - 1145/47421 = 4308670915/47421"], "final_answer": "4308670915/47421", "answer_type": "rational", "kind": "expression", "math_text": "94875 + (-4015) - (-1145) / (-55361 + 7940)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 94875, \"b\": -4015, \"c\": -1145, \"d\": -55361, \"e\": 7940}", "seed": "2978541991418345554", "semantic_fingerprint": "sha256:06b61b87352915c18c60d5dde7711a54e053912d8a87af3240f2c86f807fbd74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000156", "prompt": "Calculate: 4833 * (-5218 * (-3771)) / (-53592)", "solution_steps": ["Multiply: -5218 * (-3771) = 19677078", "Multiply: 4833 * 19677078 = 95099317974", "Divide: 95099317974 / (-53592) = -15849886329/8932"], "final_answer": "-15849886329/8932", "answer_type": "rational", "kind": "expression", "math_text": "4833 * (-5218 * (-3771)) / (-53592)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4833, \"b\": -5218, \"c\": -3771, \"d\": -53592}", "seed": "9506957820420176748", "semantic_fingerprint": "sha256:50b80d7c4d09797b9f18f91755c690671a6a67da672f36db6c6107788096b018", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000157", "prompt": "What is -4931 * 3151?", "solution_steps": ["Multiply: -4931 * 3151 = -15537581"], "final_answer": "-15537581", "answer_type": "integer", "kind": "expression", "math_text": "-4931 * 3151", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4931, \"b\": 3151}", "seed": "1582095547576886123", "semantic_fingerprint": "sha256:659d9b21cb404928ade1c15b4cc0d08fefe379cc4831385595f391bffe596da8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000158", "prompt": "Solve for x: -40(x - 4284) = x", "solution_steps": ["Expand: -40x + 171360 = x", "Subtract x from both sides: -41x + 171360 = 0", "Subtract 171360 from both sides: -41x = -171360", "Divide both sides by -41: x = 171360/41"], "final_answer": "171360/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 4284) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 4284}", "seed": "3586582087654674695", "semantic_fingerprint": "sha256:ac46982d6cc9a350ed8c78e86ff9035b1ad96208c4f980f1216f01099a11a459", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000159", "prompt": "What is -9989 + 64338 - (-4885) - 4808?", "solution_steps": ["Add: -9989 + 64338 = 54349", "Subtract: 54349 - (-4885) = 59234", "Subtract: 59234 - 4808 = 54426"], "final_answer": "54426", "answer_type": "integer", "kind": "expression", "math_text": "-9989 + 64338 - (-4885) - 4808", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9989, \"b\": 64338, \"c\": -4885, \"d\": 4808}", "seed": "234537879457484842", "semantic_fingerprint": "sha256:d987f66864a08e6cd91fc8ff259faaf4f5d972696c5000ac9071d7f2445adba0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000160", "prompt": "What is 35974 - 74670?", "solution_steps": ["Subtract: 35974 - 74670 = -38696"], "final_answer": "-38696", "answer_type": "integer", "kind": "expression", "math_text": "35974 - 74670", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 35974, \"b\": 74670}", "seed": "14114179853765937752", "semantic_fingerprint": "sha256:81480877cac35c8ff00443f6a373f47096a593ae5dde8e1d84908cefaaa00758", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000161", "prompt": "Find x: 37x - 5694 = -36x", "solution_steps": ["Add 36x to both sides: 73x - 5694 = 0", "Add 5694 to both sides: 73x = 5694", "Divide both sides by 73: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x - 5694 = -36x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": -36, \"d\": -5694, \"x\": 78}", "seed": "16961622818767822241", "semantic_fingerprint": "sha256:712b51d020e57cee2fbae3ac5e5cc0caa443691aa846e3c5d844d7fae48e7f77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000162", "prompt": "Calculate: 19627 - 2933", "solution_steps": ["Subtract: 19627 - 2933 = 16694"], "final_answer": "16694", "answer_type": "integer", "kind": "expression", "math_text": "19627 - 2933", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 19627, \"b\": 2933}", "seed": "7306803178867818296", "semantic_fingerprint": "sha256:f770050f860b76115d07011d6bcd70ba626321cd1440019a1f4b712ac1cde17d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000163", "prompt": "What is -2269 / (-2103)?", "solution_steps": ["Divide: -2269 / (-2103) = 2269/2103"], "final_answer": "2269/2103", "answer_type": "rational", "kind": "expression", "math_text": "-2269 / (-2103)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2269, \"b\": -2103}", "seed": "5060364441959373038", "semantic_fingerprint": "sha256:6cb299b3ae6193af4b36b1e5a43e63665c719b070204b8f543417c43f8bf7961", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000164", "prompt": "Evaluate: (8316 - (-5759)) / (-6711 / 9563)", "solution_steps": ["Subtract: 8316 - (-5759) = 14075", "Divide: -6711 / 9563 = -6711/9563", "Divide: 14075 / (-6711/9563) = -134599225/6711"], "final_answer": "-134599225/6711", "answer_type": "rational", "kind": "expression", "math_text": "(8316 - (-5759)) / (-6711 / 9563)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8316, \"b\": -5759, \"c\": -6711, \"d\": 9563}", "seed": "14737799751211897655", "semantic_fingerprint": "sha256:9d143d9783b8714be214e2667b86bbb1d42c45fac059918c7a786a19a14a9280", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000165", "prompt": "What is -4726 * (-51731 + (-8916 - 8498))?", "solution_steps": ["Subtract: -8916 - 8498 = -17414", "Add: -51731 + (-17414) = -69145", "Multiply: -4726 * (-69145) = 326779270"], "final_answer": "326779270", "answer_type": "integer", "kind": "expression", "math_text": "-4726 * (-51731 + (-8916 - 8498))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4726, \"b\": -51731, \"c\": -8916, \"d\": 8498}", "seed": "16882447407822653553", "semantic_fingerprint": "sha256:141cf924a83d38cfd6f2f930b7cdea44ba161f2c8e178217c6d0cb4caff56d4c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000166", "prompt": "Solve for x: 14x + 8628 = x", "solution_steps": ["Subtract x from both sides: 13x + 8628 = 0", "Subtract 8628 from both sides: 13x = -8628", "Divide both sides by 13: x = -8628/13"], "final_answer": "-8628/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x + 8628 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 8628}", "seed": "9456089020446699676", "semantic_fingerprint": "sha256:978102b9f4f4109abffb2758ec6f5faf6b01fc1b646b09493a2f1119e5e9a6d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000167", "prompt": "Calculate: -81265 - (-69141) + (-18570)", "solution_steps": ["Subtract: -81265 - (-69141) = -12124", "Add: -12124 + (-18570) = -30694"], "final_answer": "-30694", "answer_type": "integer", "kind": "expression", "math_text": "-81265 - (-69141) + (-18570)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81265, \"b\": -69141, \"c\": -18570}", "seed": "2678118182213826161", "semantic_fingerprint": "sha256:bd176b6225df434397c5ab0379c75917dbffa235a9d530efaf7d681acd2abfe4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000168", "prompt": "What is 11637 / (-53657)?", "solution_steps": ["Divide: 11637 / (-53657) = -11637/53657"], "final_answer": "-11637/53657", "answer_type": "rational", "kind": "expression", "math_text": "11637 / (-53657)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 11637, \"b\": -53657}", "seed": "10284565275636152242", "semantic_fingerprint": "sha256:d3197d8c691dbd1f17fd84cc35535c3aba3804a144078356bd3152bef5e1cde6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000169", "prompt": "Evaluate: (-2574 - (-5621)) * 2537 + (-47695)", "solution_steps": ["Subtract: -2574 - (-5621) = 3047", "Multiply: 3047 * 2537 = 7730239", "Add: 7730239 + (-47695) = 7682544"], "final_answer": "7682544", "answer_type": "integer", "kind": "expression", "math_text": "(-2574 - (-5621)) * 2537 + (-47695)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2574, \"b\": -5621, \"c\": 2537, \"d\": -47695}", "seed": "13376902893893208396", "semantic_fingerprint": "sha256:4a3ea2cefd7c90d136d45fa43d026003e4c2ec5b14201b2b8a5e273e8035a246", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000170", "prompt": "Compute: -8023 - 4145 / (-4720 * ((7158 - 6895) / (-37469)))", "solution_steps": ["Subtract: 7158 - 6895 = 263", "Divide: 263 / (-37469) = -263/37469", "Multiply: -4720 * (-263/37469) = 1241360/37469", "Divide: 4145 / (1241360/37469) = 31061801/248272", "Subtract: -8023 - 31061801/248272 = -2022948057/248272"], "final_answer": "-2022948057/248272", "answer_type": "rational", "kind": "expression", "math_text": "-8023 - 4145 / (-4720 * ((7158 - 6895) / (-37469)))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (* n (/ (- n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8023, \"b\": 4145, \"c\": -4720, \"d\": 7158, \"e\": 6895, \"f\": -37469}", "seed": "7972512362990388044", "semantic_fingerprint": "sha256:590965b8a3ac434ae7a7c093c178f2f7394079a56b575e2551f10dcddc2db332", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000171", "prompt": "Evaluate: 42912 + 4593 + (-15505 - 1732) + (-73017)", "solution_steps": ["Add: 42912 + 4593 = 47505", "Subtract: -15505 - 1732 = -17237", "Add: 47505 + (-17237) = 30268", "Add: 30268 + (-73017) = -42749"], "final_answer": "-42749", "answer_type": "integer", "kind": "expression", "math_text": "42912 + 4593 + (-15505 - 1732) + (-73017)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42912, \"b\": 4593, \"c\": -15505, \"d\": 1732, \"e\": -73017}", "seed": "8737519337954225088", "semantic_fingerprint": "sha256:2c012ae9a75167027aee9cc3b8767f9c2e1452b3f708b4887650a1f0c89c7cec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000172", "prompt": "What is (-64812 - 23742 + (-1560) * 27073) / 1583?", "solution_steps": ["Subtract: -64812 - 23742 = -88554", "Multiply: -1560 * 27073 = -42233880", "Add: -88554 + (-42233880) = -42322434", "Divide: -42322434 / 1583 = -42322434/1583"], "final_answer": "-42322434/1583", "answer_type": "rational", "kind": "expression", "math_text": "(-64812 - 23742 + (-1560) * 27073) / 1583", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -64812, \"b\": 23742, \"c\": -1560, \"d\": 27073, \"e\": 1583}", "seed": "6655770404433015275", "semantic_fingerprint": "sha256:16c95c92fb4db194236975233396d0a9100a159186e2075d5f01e52e4bc0d09c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000173", "prompt": "Compute: -7796 - 1445 - (-50029) + (-7018) * (-22387) - 6457", "solution_steps": ["Subtract: -7796 - 1445 = -9241", "Subtract: -9241 - (-50029) = 40788", "Multiply: -7018 * (-22387) = 157111966", "Add: 40788 + 157111966 = 157152754", "Subtract: 157152754 - 6457 = 157146297"], "final_answer": "157146297", "answer_type": "integer", "kind": "expression", "math_text": "-7796 - 1445 - (-50029) + (-7018) * (-22387) - 6457", "variable": null, "family": "expression_5op", "shape": "(- (+ (- (- n n) n) (* n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7796, \"b\": 1445, \"c\": -50029, \"d\": -7018, \"e\": -22387, \"f\": 6457}", "seed": "18256748811086867266", "semantic_fingerprint": "sha256:e63d7c88691946c4aadbfcdba3d91a35ad9c176c2ce95902d54b35defd34a18e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000174", "prompt": "What is 79663 * ((-8463 + (-29457)) / (-89530 + 5857))?", "solution_steps": ["Add: -8463 + (-29457) = -37920", "Add: -89530 + 5857 = -83673", "Divide: -37920 / (-83673) = 12640/27891", "Multiply: 79663 * (12640/27891) = 1006940320/27891"], "final_answer": "1006940320/27891", "answer_type": "rational", "kind": "expression", "math_text": "79663 * ((-8463 + (-29457)) / (-89530 + 5857))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 79663, \"b\": -8463, \"c\": -29457, \"d\": -89530, \"e\": 5857}", "seed": "1870284612933858711", "semantic_fingerprint": "sha256:4b9f9ede868c3911a54eea23cac53def849f7e0e9058444d9aceead493ba8973", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000175", "prompt": "Calculate: 22351 * (-4409) - 6676", "solution_steps": ["Multiply: 22351 * (-4409) = -98545559", "Subtract: -98545559 - 6676 = -98552235"], "final_answer": "-98552235", "answer_type": "integer", "kind": "expression", "math_text": "22351 * (-4409) - 6676", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22351, \"b\": -4409, \"c\": 6676}", "seed": "1974777567090385831", "semantic_fingerprint": "sha256:e1ab6257b98ae8d8a5b507ac88290cda933cabfc4ac59a7cfbd7bebdb25b91e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000176", "prompt": "Solve for x: x = -19(x + 83179)", "solution_steps": ["Expand: x = -19x - 1580401", "Add 19x to both sides: 20x = -1580401", "Divide both sides by 20: x = -1580401/20"], "final_answer": "-1580401/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -19(x + 83179)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 83179}", "seed": "12403898365973074947", "semantic_fingerprint": "sha256:b756222da7e3b4edc0ed70229b754f8c1729eb1f2ebbbc09c15c626d615676de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000177", "prompt": "Evaluate: 82674 * 78072", "solution_steps": ["Multiply: 82674 * 78072 = 6454524528"], "final_answer": "6454524528", "answer_type": "integer", "kind": "expression", "math_text": "82674 * 78072", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 82674, \"b\": 78072}", "seed": "11049653569130591481", "semantic_fingerprint": "sha256:fb7e8d33113a55b03cbd5e16117e94b1dff902a2c21e68b0958e7d82e0d06af4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000178", "prompt": "Evaluate: 61506 * (1197 - (-5380)) / (-8952)", "solution_steps": ["Subtract: 1197 - (-5380) = 6577", "Multiply: 61506 * 6577 = 404524962", "Divide: 404524962 / (-8952) = -67420827/1492"], "final_answer": "-67420827/1492", "answer_type": "rational", "kind": "expression", "math_text": "61506 * (1197 - (-5380)) / (-8952)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61506, \"b\": 1197, \"c\": -5380, \"d\": -8952}", "seed": "13809614272139069431", "semantic_fingerprint": "sha256:8c5d1d1a4c39183521011eed9ad6b57e47869cc0b0bf62d130b03c559cb23f50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000179", "prompt": "Compute: (-51965 * 3788 - (-25651)) / (80489 - 6815 + 3653)", "solution_steps": ["Multiply: -51965 * 3788 = -196843420", "Subtract: -196843420 - (-25651) = -196817769", "Subtract: 80489 - 6815 = 73674", "Add: 73674 + 3653 = 77327", "Divide: -196817769 / 77327 = -196817769/77327"], "final_answer": "-196817769/77327", "answer_type": "rational", "kind": "expression", "math_text": "(-51965 * 3788 - (-25651)) / (80489 - 6815 + 3653)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -51965, \"b\": 3788, \"c\": -25651, \"d\": 80489, \"e\": 6815, \"f\": 3653}", "seed": "10790070323824870692", "semantic_fingerprint": "sha256:7624fbb62d12daadb1aba1841c965a20a0620976781011c93d4a001cd9e14a12", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000180", "prompt": "Find x: 27x = -5076", "solution_steps": ["Divide both sides by 27: x = -188"], "final_answer": "-188", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = -5076", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": -5076, \"x\": -188}", "seed": "12395832822916801663", "semantic_fingerprint": "sha256:48dd3cac78150552a1397842c417bd8c895100603773695883808bcef7342ba9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000181", "prompt": "Calculate: (-4590 + (4497 + 4912)) / (-7034)", "solution_steps": ["Add: 4497 + 4912 = 9409", "Add: -4590 + 9409 = 4819", "Divide: 4819 / (-7034) = -4819/7034"], "final_answer": "-4819/7034", "answer_type": "rational", "kind": "expression", "math_text": "(-4590 + (4497 + 4912)) / (-7034)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4590, \"b\": 4497, \"c\": 4912, \"d\": -7034}", "seed": "4604226789144957462", "semantic_fingerprint": "sha256:8451beecaadbf2298467b6781cdd2c10768ed4fe87ee316a32f5e059677385a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000182", "prompt": "What is 91640 / (79851 / (-3977))?", "solution_steps": ["Divide: 79851 / (-3977) = -79851/3977", "Divide: 91640 / (-79851/3977) = -364452280/79851"], "final_answer": "-364452280/79851", "answer_type": "rational", "kind": "expression", "math_text": "91640 / (79851 / (-3977))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91640, \"b\": 79851, \"c\": -3977}", "seed": "10073945552282885526", "semantic_fingerprint": "sha256:d89db76c8206cda52bd110650e6b622a6a6c15c5bdbd13017fce77a64e5cf180", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000183", "prompt": "Solve for x: 26(x - 25172) + 2075 = 21(x - 1322) + 3616", "solution_steps": ["Expand: 26x - 654472 + 2075 = 21(x - 1322) + 3616", "Expand: 26x - 654472 + 2075 = 21x - 27762 + 3616", "Combine constants: 26x - 652397 = 21x - 27762 + 3616", "Combine constants: 26x - 652397 = 21x - 24146", "Subtract 21x from both sides: 5x - 652397 = -24146", "Add 652397 to both sides: 5x = 628251", "Divide both sides by 5: x = 628251/5"], "final_answer": "628251/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 25172) + 2075 = 21(x - 1322) + 3616", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 25172, \"c\": 2075, \"d\": 21, \"e\": 1322, \"f\": 3616}", "seed": "1695117863085141165", "semantic_fingerprint": "sha256:24c1acef4263fc9fe974b8e090fe63406f06183618d629b2e7431226cc77ffce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000184", "prompt": "Solve for x: 18x + 68948 = 28x + 69608", "solution_steps": ["Subtract 28x from both sides: -10x + 68948 = 69608", "Subtract 68948 from both sides: -10x = 660", "Divide both sides by -10: x = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x + 68948 = 28x + 69608", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 68948, \"c\": 28, \"e\": 69608, \"x\": -66}", "seed": "15508430420000422288", "semantic_fingerprint": "sha256:937d7b1e105aa98cdb66972f7731553268646f126fb588a2275ab65a65fb9291", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000185", "prompt": "Evaluate: 4774 + 74607", "solution_steps": ["Add: 4774 + 74607 = 79381"], "final_answer": "79381", "answer_type": "integer", "kind": "expression", "math_text": "4774 + 74607", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4774, \"b\": 74607}", "seed": "16550396097029416018", "semantic_fingerprint": "sha256:a9705fe87e85e7178e818f78b3d429338d2e47d55f3a9172b9d2bcf712d3d3dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000186", "prompt": "Find x: x - 8645 = -39(x - 1133) - 45192", "solution_steps": ["Expand: x - 8645 = -39x + 44187 - 45192", "Combine constants: x - 8645 = -39x - 1005", "Add 39x to both sides: 40x - 8645 = -1005", "Add 8645 to both sides: 40x = 7640", "Divide both sides by 40: x = 191"], "final_answer": "191", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8645 = -39(x - 1133) - 45192", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8645, \"b\": -39, \"c\": 1133, \"e\": -45192, \"x\": 191}", "seed": "7468401786546467684", "semantic_fingerprint": "sha256:703f069782f7079066ee4da7ebd534582b285894f5fda369fa5d8a68d12d0d83", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000187", "prompt": "Calculate: -19648 - (-52851) - (-17492) / 6773 + (1037 - (-1420))", "solution_steps": ["Subtract: -19648 - (-52851) = 33203", "Divide: -17492 / 6773 = -17492/6773", "Subtract: 33203 - (-17492/6773) = 224901411/6773", "Subtract: 1037 - (-1420) = 2457", "Add: 224901411/6773 + 2457 = 241542672/6773"], "final_answer": "241542672/6773", "answer_type": "rational", "kind": "expression", "math_text": "-19648 - (-52851) - (-17492) / 6773 + (1037 - (-1420))", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19648, \"b\": -52851, \"c\": -17492, \"d\": 6773, \"e\": 1037, \"f\": -1420}", "seed": "12726165892609628297", "semantic_fingerprint": "sha256:6d84d722c846ec7f447190fb033e0ddb26c2e6778ea1b2f29f60947176f5e5f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000188", "prompt": "Calculate: 4419 - 5889 - (7143 + 9432) - (-68872)", "solution_steps": ["Subtract: 4419 - 5889 = -1470", "Add: 7143 + 9432 = 16575", "Subtract: -1470 - 16575 = -18045", "Subtract: -18045 - (-68872) = 50827"], "final_answer": "50827", "answer_type": "integer", "kind": "expression", "math_text": "4419 - 5889 - (7143 + 9432) - (-68872)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4419, \"b\": 5889, \"c\": 7143, \"d\": 9432, \"e\": -68872}", "seed": "16784498992729144740", "semantic_fingerprint": "sha256:e049cb0b5006c37448b19bd89ce4a0227749473b9e2332579f76ee4265cf480c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000189", "prompt": "Compute: 5818 / (4350 - 8350 - 52388) + (-5143)", "solution_steps": ["Subtract: 4350 - 8350 = -4000", "Subtract: -4000 - 52388 = -56388", "Divide: 5818 / (-56388) = -2909/28194", "Add: -2909/28194 + (-5143) = -145004651/28194"], "final_answer": "-145004651/28194", "answer_type": "rational", "kind": "expression", "math_text": "5818 / (4350 - 8350 - 52388) + (-5143)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5818, \"b\": 4350, \"c\": 8350, \"d\": 52388, \"e\": -5143}", "seed": "2354637982171738303", "semantic_fingerprint": "sha256:8d39413401d6602b8be8d61f683b5b68441f06b71bcdc9e19d66e3173171b512", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000190", "prompt": "What is -5569 / (-78458 - 6140 + 6123) * (-33175 - 72873)?", "solution_steps": ["Subtract: -78458 - 6140 = -84598", "Add: -84598 + 6123 = -78475", "Divide: -5569 / (-78475) = 5569/78475", "Subtract: -33175 - 72873 = -106048", "Multiply: (5569/78475) * (-106048) = -590581312/78475"], "final_answer": "-590581312/78475", "answer_type": "rational", "kind": "expression", "math_text": "-5569 / (-78458 - 6140 + 6123) * (-33175 - 72873)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ (- n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5569, \"b\": -78458, \"c\": 6140, \"d\": 6123, \"e\": -33175, \"f\": 72873}", "seed": "16617335657814431642", "semantic_fingerprint": "sha256:32ebc1d197fddaba650d8d82d37ab83f964c1e795ec436a6ff8b40fea4e01b29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000191", "prompt": "Solve for x: 32(x - 1191) = 39(x + 1220) - 84621", "solution_steps": ["Expand: 32x - 38112 = 39(x + 1220) - 84621", "Expand: 32x - 38112 = 39x + 47580 - 84621", "Combine constants: 32x - 38112 = 39x - 37041", "Subtract 39x from both sides: -7x - 38112 = -37041", "Add 38112 to both sides: -7x = 1071", "Divide both sides by -7: x = -153"], "final_answer": "-153", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 1191) = 39(x + 1220) - 84621", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1191, \"c\": 39, \"d\": 1220, \"f\": -84621, \"x\": -153}", "seed": "2523754528706227113", "semantic_fingerprint": "sha256:864c7f99595fbfedf529949d870a86f34c8f56910d080d24736277c79d7f7c1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000192", "prompt": "Calculate: 2642 - 82350", "solution_steps": ["Subtract: 2642 - 82350 = -79708"], "final_answer": "-79708", "answer_type": "integer", "kind": "expression", "math_text": "2642 - 82350", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2642, \"b\": 82350}", "seed": "16138119210839883703", "semantic_fingerprint": "sha256:8f1e2de308de6da265eb467c99b326d66c8756399f0db9074b8aae348acec792", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000193", "prompt": "What is -36096 + (-4432) * 3862?", "solution_steps": ["Multiply: -4432 * 3862 = -17116384", "Add: -36096 + (-17116384) = -17152480"], "final_answer": "-17152480", "answer_type": "integer", "kind": "expression", "math_text": "-36096 + (-4432) * 3862", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36096, \"b\": -4432, \"c\": 3862}", "seed": "13733830394220500036", "semantic_fingerprint": "sha256:4b3eab710d424d49fafe581ef74e5dfc29c8cbc4e85f79229b9eeefd4a3bd37a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000194", "prompt": "What is -50954 - 58427 * 6207?", "solution_steps": ["Multiply: 58427 * 6207 = 362656389", "Subtract: -50954 - 362656389 = -362707343"], "final_answer": "-362707343", "answer_type": "integer", "kind": "expression", "math_text": "-50954 - 58427 * 6207", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50954, \"b\": 58427, \"c\": 6207}", "seed": "17717065135187219108", "semantic_fingerprint": "sha256:ed0bf960d373cc3ae3099f3d6b789fe547aadba02eb1f8c7eb014b2f0bed85e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000195", "prompt": "What is -9619 * (-36936)?", "solution_steps": ["Multiply: -9619 * (-36936) = 355287384"], "final_answer": "355287384", "answer_type": "integer", "kind": "expression", "math_text": "-9619 * (-36936)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9619, \"b\": -36936}", "seed": "10007648196541677183", "semantic_fingerprint": "sha256:609cb81c074429d059570decc85bb529bd0971d134f8284aa1ed6c21ffcb13fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000196", "prompt": "What is -7400 + (-54635) + (4053 - 3606 + (-8135)) - (-6666)?", "solution_steps": ["Add: -7400 + (-54635) = -62035", "Subtract: 4053 - 3606 = 447", "Add: 447 + (-8135) = -7688", "Add: -62035 + (-7688) = -69723", "Subtract: -69723 - (-6666) = -63057"], "final_answer": "-63057", "answer_type": "integer", "kind": "expression", "math_text": "-7400 + (-54635) + (4053 - 3606 + (-8135)) - (-6666)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7400, \"b\": -54635, \"c\": 4053, \"d\": 3606, \"e\": -8135, \"f\": -6666}", "seed": "8145573799017483183", "semantic_fingerprint": "sha256:2f3ececae6a2464862cde83f8272a27b72643c13f65410df889f3e40728208eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000197", "prompt": "What is (5256 + (-1831)) / (13933 - 4907)?", "solution_steps": ["Add: 5256 + (-1831) = 3425", "Subtract: 13933 - 4907 = 9026", "Divide: 3425 / 9026 = 3425/9026"], "final_answer": "3425/9026", "answer_type": "rational", "kind": "expression", "math_text": "(5256 + (-1831)) / (13933 - 4907)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5256, \"b\": -1831, \"c\": 13933, \"d\": 4907}", "seed": "17356097922308269911", "semantic_fingerprint": "sha256:be7cade08cad2eff80cdecedba09797198dc4f2fe61263aeb3b4d4af16dcdd42", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000198", "prompt": "Evaluate: 1894 + (-6921) - (-6514 * (-87107) + 37597) / (-3944)", "solution_steps": ["Add: 1894 + (-6921) = -5027", "Multiply: -6514 * (-87107) = 567414998", "Add: 567414998 + 37597 = 567452595", "Divide: 567452595 / (-3944) = -567452595/3944", "Subtract: -5027 - (-567452595/3944) = 547626107/3944"], "final_answer": "547626107/3944", "answer_type": "rational", "kind": "expression", "math_text": "1894 + (-6921) - (-6514 * (-87107) + 37597) / (-3944)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ (+ (* n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1894, \"b\": -6921, \"c\": -6514, \"d\": -87107, \"e\": 37597, \"f\": -3944}", "seed": "5132725561388326242", "semantic_fingerprint": "sha256:5f5804a1874e4cc1ebad4704b8c469634c3dde03d92f59560f7b454c3487f76d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000199", "prompt": "What is 8766 / 8077 - (4957 + (-9564))?", "solution_steps": ["Divide: 8766 / 8077 = 8766/8077", "Add: 4957 + (-9564) = -4607", "Subtract: 8766/8077 - (-4607) = 37219505/8077"], "final_answer": "37219505/8077", "answer_type": "rational", "kind": "expression", "math_text": "8766 / 8077 - (4957 + (-9564))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8766, \"b\": 8077, \"c\": 4957, \"d\": -9564}", "seed": "13757026681073678609", "semantic_fingerprint": "sha256:452b36e5603a8cae15d18a73853f6d5e8ac1ee56f7995f148e7b62a0deef447c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000200", "prompt": "Compute: -87430 + (-6388) + 8822 + (-1440 - 2667)", "solution_steps": ["Add: -87430 + (-6388) = -93818", "Add: -93818 + 8822 = -84996", "Subtract: -1440 - 2667 = -4107", "Add: -84996 + (-4107) = -89103"], "final_answer": "-89103", "answer_type": "integer", "kind": "expression", "math_text": "-87430 + (-6388) + 8822 + (-1440 - 2667)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -87430, \"b\": -6388, \"c\": 8822, \"d\": -1440, \"e\": 2667}", "seed": "7853399281616165455", "semantic_fingerprint": "sha256:44d80294aefe4150ab1cd1e81c7139bc7bc57af2fe28f3d234595e38d4a6884d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000201", "prompt": "What value of x satisfies -31x - 7261 = 29x + 3179?", "solution_steps": ["Subtract 29x from both sides: -60x - 7261 = 3179", "Add 7261 to both sides: -60x = 10440", "Divide both sides by -60: x = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x - 7261 = 29x + 3179", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 7261, \"c\": 29, \"e\": 3179, \"x\": -174}", "seed": "12063029237363380019", "semantic_fingerprint": "sha256:b6048b23e20c90a2f7140f9eff326a269783f868c3bdeba284001787c641062b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000202", "prompt": "What is -29300 / (99493 + 1029)?", "solution_steps": ["Add: 99493 + 1029 = 100522", "Divide: -29300 / 100522 = -14650/50261"], "final_answer": "-14650/50261", "answer_type": "rational", "kind": "expression", "math_text": "-29300 / (99493 + 1029)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29300, \"b\": 99493, \"c\": 1029}", "seed": "8885163950936595285", "semantic_fingerprint": "sha256:c7e5f793a6f4d73dee47bf3de340f2c7787a40d216abd8914001f4ae3c39bd9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000203", "prompt": "What is -3276 / (-6308 + 4304) * (-4020)?", "solution_steps": ["Add: -6308 + 4304 = -2004", "Divide: -3276 / (-2004) = 273/167", "Multiply: (273/167) * (-4020) = -1097460/167"], "final_answer": "-1097460/167", "answer_type": "rational", "kind": "expression", "math_text": "-3276 / (-6308 + 4304) * (-4020)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3276, \"b\": -6308, \"c\": 4304, \"d\": -4020}", "seed": "5476949307533399613", "semantic_fingerprint": "sha256:54e2760fd1c21b4ca08183cf934bc70d643dfe3dc9ba6d26224c744c5b3ee9fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000204", "prompt": "Find x: -25x = 37(x - 82502)", "solution_steps": ["Expand: -25x = 37x - 3052574", "Subtract 37x from both sides: -62x = -3052574", "Divide both sides by -62: x = 1526287/31"], "final_answer": "1526287/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25x = 37(x - 82502)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 37, \"c\": 82502}", "seed": "17521997329920207392", "semantic_fingerprint": "sha256:ef0a8045daeaf296d45bffce61dbf75a495e0fd665ff4451ecb2175f95705942", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000205", "prompt": "Calculate: -79964 * (6934 + (-1999))", "solution_steps": ["Add: 6934 + (-1999) = 4935", "Multiply: -79964 * 4935 = -394622340"], "final_answer": "-394622340", "answer_type": "integer", "kind": "expression", "math_text": "-79964 * (6934 + (-1999))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79964, \"b\": 6934, \"c\": -1999}", "seed": "17112586857493323782", "semantic_fingerprint": "sha256:57cfff59aa0f5573e77fb1fe9e0c6d3fd6e453707a448dc9be917483cec90ffe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000206", "prompt": "What is 47192 - (1471 * (-7333) - 98466)?", "solution_steps": ["Multiply: 1471 * (-7333) = -10786843", "Subtract: -10786843 - 98466 = -10885309", "Subtract: 47192 - (-10885309) = 10932501"], "final_answer": "10932501", "answer_type": "integer", "kind": "expression", "math_text": "47192 - (1471 * (-7333) - 98466)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 47192, \"b\": 1471, \"c\": -7333, \"d\": 98466}", "seed": "8575255016161801384", "semantic_fingerprint": "sha256:3fb66f54be69b06940b555f981ba9a08b65b0b162c2f371c22bcb08b342ae9fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000207", "prompt": "Evaluate: 74708 - 43678", "solution_steps": ["Subtract: 74708 - 43678 = 31030"], "final_answer": "31030", "answer_type": "integer", "kind": "expression", "math_text": "74708 - 43678", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 74708, \"b\": 43678}", "seed": "13697163999557944331", "semantic_fingerprint": "sha256:caf0b9ad414e165f7c96b5394b9f51f7e4d31ebff2bf12b7160623ef823f3e01", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000208", "prompt": "Calculate: 3231 / (29956 - (-42154))", "solution_steps": ["Subtract: 29956 - (-42154) = 72110", "Divide: 3231 / 72110 = 3231/72110"], "final_answer": "3231/72110", "answer_type": "rational", "kind": "expression", "math_text": "3231 / (29956 - (-42154))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3231, \"b\": 29956, \"c\": -42154}", "seed": "827099921616379433", "semantic_fingerprint": "sha256:68789145c24a1a9c70a8e09fa107fd4a42e7c6975defca06e28b00c144f863be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000209", "prompt": "Evaluate: 90962 + 26048", "solution_steps": ["Add: 90962 + 26048 = 117010"], "final_answer": "117010", "answer_type": "integer", "kind": "expression", "math_text": "90962 + 26048", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 90962, \"b\": 26048}", "seed": "3805466483899770982", "semantic_fingerprint": "sha256:1c741ba0cfa687205b28bec986d86c73b03a788838d96daaf3aa69cbda33e10e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000210", "prompt": "Find x: -37(x + 1378) = -17x", "solution_steps": ["Expand: -37x - 50986 = -17x", "Add 17x to both sides: -20x - 50986 = 0", "Add 50986 to both sides: -20x = 50986", "Divide both sides by -20: x = -25493/10"], "final_answer": "-25493/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 1378) = -17x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 1378, \"c\": -17}", "seed": "10146823757780908698", "semantic_fingerprint": "sha256:24ef34a0cd9c05e50e0de66f36b44f2b4128d8b42a667b650271da9aa5c9e78c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000211", "prompt": "Solve the equation -24x - 64582 = 46624 for x.", "solution_steps": ["Add 64582 to both sides: -24x = 111206", "Divide both sides by -24: x = -55603/12"], "final_answer": "-55603/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x - 64582 = 46624", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 64582, \"c\": 46624}", "seed": "18204399931326890080", "semantic_fingerprint": "sha256:0a58f629708515a8446b2ee8ebd0f9fdd83b3fff54e572c510961f0f36eda92d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000212", "prompt": "Calculate: 3194 / (-4386)", "solution_steps": ["Divide: 3194 / (-4386) = -1597/2193"], "final_answer": "-1597/2193", "answer_type": "rational", "kind": "expression", "math_text": "3194 / (-4386)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3194, \"b\": -4386}", "seed": "14785635581711216118", "semantic_fingerprint": "sha256:77176c12c397e49e0bd8dec03718ce3b8d112bfafe30db9a715cefccd50a3955", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000213", "prompt": "What is 1722 / (6436 / 2923)?", "solution_steps": ["Divide: 6436 / 2923 = 6436/2923", "Divide: 1722 / (6436/2923) = 2516703/3218"], "final_answer": "2516703/3218", "answer_type": "rational", "kind": "expression", "math_text": "1722 / (6436 / 2923)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1722, \"b\": 6436, \"c\": 2923}", "seed": "13827049624184003418", "semantic_fingerprint": "sha256:02b9aeea1367751ad022fb1594b311551ce68479ca61c9a4edd06cbc936b23e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000214", "prompt": "Solve the equation -13(x + 55275) = -31(x + 9860) + 2440 for x.", "solution_steps": ["Expand: -13x - 718575 = -31(x + 9860) + 2440", "Expand: -13x - 718575 = -31x - 305660 + 2440", "Combine constants: -13x - 718575 = -31x - 303220", "Add 31x to both sides: 18x - 718575 = -303220", "Add 718575 to both sides: 18x = 415355", "Divide both sides by 18: x = 415355/18"], "final_answer": "415355/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 55275) = -31(x + 9860) + 2440", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 55275, \"c\": -31, \"d\": 9860, \"e\": 2440}", "seed": "5782881075718686640", "semantic_fingerprint": "sha256:cf23bd9dbc3ce710b0c16108f3bd0012fa726f4f043d18082d32b5bded81b064", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000215", "prompt": "Compute: -4962 - (-37614) * (-3815) / (-6401) + (-31338)", "solution_steps": ["Multiply: -37614 * (-3815) = 143497410", "Divide: 143497410 / (-6401) = -143497410/6401", "Subtract: -4962 - (-143497410/6401) = 111735648/6401", "Add: 111735648/6401 + (-31338) = -88858890/6401"], "final_answer": "-88858890/6401", "answer_type": "rational", "kind": "expression", "math_text": "-4962 - (-37614) * (-3815) / (-6401) + (-31338)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4962, \"b\": -37614, \"c\": -3815, \"d\": -6401, \"e\": -31338}", "seed": "15726541145869649152", "semantic_fingerprint": "sha256:82bbaeea012051e1c7658ecf1e0933b66ea951165b839afd225862d01dc8d84b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000216", "prompt": "Calculate: -3446 * (-3327)", "solution_steps": ["Multiply: -3446 * (-3327) = 11464842"], "final_answer": "11464842", "answer_type": "integer", "kind": "expression", "math_text": "-3446 * (-3327)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3446, \"b\": -3327}", "seed": "12617872551951684628", "semantic_fingerprint": "sha256:ba3212ca223084509ca160d8732bd8fd65dfa01f88ce9c8150fef4d1fce14f22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000217", "prompt": "What value of x satisfies 31(x - 8869) = 34(x + 48594) + 10856?", "solution_steps": ["Expand: 31x - 274939 = 34(x + 48594) + 10856", "Expand: 31x - 274939 = 34x + 1652196 + 10856", "Combine constants: 31x - 274939 = 34x + 1663052", "Subtract 34x from both sides: -3x - 274939 = 1663052", "Add 274939 to both sides: -3x = 1937991", "Divide both sides by -3: x = -645997"], "final_answer": "-645997", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x - 8869) = 34(x + 48594) + 10856", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 8869, \"c\": 34, \"d\": 48594, \"e\": 10856}", "seed": "439568676416819650", "semantic_fingerprint": "sha256:367408658d00800d07aaf9e8d521d5c434bb12da917236508edfc6d48a9f58b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000218", "prompt": "Calculate: 38015 / (-36239 + (-1358)) + (16597 - (-60602) - 4074)", "solution_steps": ["Add: -36239 + (-1358) = -37597", "Divide: 38015 / (-37597) = -38015/37597", "Subtract: 16597 - (-60602) = 77199", "Subtract: 77199 - 4074 = 73125", "Add: -38015/37597 + 73125 = 2749242610/37597"], "final_answer": "2749242610/37597", "answer_type": "rational", "kind": "expression", "math_text": "38015 / (-36239 + (-1358)) + (16597 - (-60602) - 4074)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ n n)) (- (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38015, \"b\": -36239, \"c\": -1358, \"d\": 16597, \"e\": -60602, \"f\": 4074}", "seed": "6897171865848061283", "semantic_fingerprint": "sha256:c8b8d491eb0ba345e78762edb8a3cff59701d30b8ee74d5f89960080d5511dad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000219", "prompt": "Calculate: -4538 / 3405 * 3650", "solution_steps": ["Divide: -4538 / 3405 = -4538/3405", "Multiply: (-4538/3405) * 3650 = -3312740/681"], "final_answer": "-3312740/681", "answer_type": "rational", "kind": "expression", "math_text": "-4538 / 3405 * 3650", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4538, \"b\": 3405, \"c\": 3650}", "seed": "657926600791662796", "semantic_fingerprint": "sha256:a70b0230ceec05fbef9ad5683484c64ed1120a60b851cc97a385331ade1d3b28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000220", "prompt": "What is -6385 * (-51039) + 11057?", "solution_steps": ["Multiply: -6385 * (-51039) = 325884015", "Add: 325884015 + 11057 = 325895072"], "final_answer": "325895072", "answer_type": "integer", "kind": "expression", "math_text": "-6385 * (-51039) + 11057", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6385, \"b\": -51039, \"c\": 11057}", "seed": "16175152863953614385", "semantic_fingerprint": "sha256:577fbb27d48e7f09e75ced7d4067c156b5f435be03a46654cf7bb4e4a12299b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000221", "prompt": "Compute: -7128 * (-3498) + 59647", "solution_steps": ["Multiply: -7128 * (-3498) = 24933744", "Add: 24933744 + 59647 = 24993391"], "final_answer": "24993391", "answer_type": "integer", "kind": "expression", "math_text": "-7128 * (-3498) + 59647", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7128, \"b\": -3498, \"c\": 59647}", "seed": "7910937188934992623", "semantic_fingerprint": "sha256:8f960ab431e892e6ecff4605c3994ef882f2c07559565ed37ec0e732dd94998e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000222", "prompt": "Compute: 2703 + (-32377 - 3082 / 5593 - (-47801))", "solution_steps": ["Divide: 3082 / 5593 = 3082/5593", "Subtract: -32377 - 3082/5593 = -181087643/5593", "Subtract: -181087643/5593 - (-47801) = 86263350/5593", "Add: 2703 + 86263350/5593 = 101381229/5593"], "final_answer": "101381229/5593", "answer_type": "rational", "kind": "expression", "math_text": "2703 + (-32377 - 3082 / 5593 - (-47801))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2703, \"b\": -32377, \"c\": 3082, \"d\": 5593, \"e\": -47801}", "seed": "14550294107585448892", "semantic_fingerprint": "sha256:fe923a624ec150f9f0ec148abfb30541c3c821b48dc8f922db2d44cc0b6a60fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000223", "prompt": "What value of x satisfies -16(x + 56882) = 21x - 35678?", "solution_steps": ["Expand: -16x - 910112 = 21x - 35678", "Subtract 21x from both sides: -37x - 910112 = -35678", "Add 910112 to both sides: -37x = 874434", "Divide both sides by -37: x = -874434/37"], "final_answer": "-874434/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 56882) = 21x - 35678", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 56882, \"c\": 21, \"d\": 35678}", "seed": "15177219750146428232", "semantic_fingerprint": "sha256:90b983d79e7281a991eacf97ec54f00ad1368da90411919df77d106dbcd1ddd3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000224", "prompt": "Compute: -23168 / (-98522 - (-2203))", "solution_steps": ["Subtract: -98522 - (-2203) = -96319", "Divide: -23168 / (-96319) = 23168/96319"], "final_answer": "23168/96319", "answer_type": "rational", "kind": "expression", "math_text": "-23168 / (-98522 - (-2203))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23168, \"b\": -98522, \"c\": -2203}", "seed": "10897735087345885702", "semantic_fingerprint": "sha256:4f3c3d23989d50bcc04e0252a564a0f5ffa1a04fd1b4b94fe15feaf6d6785032", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000225", "prompt": "Find x: 19(x + 6161) + 3998 = 16x + 82535", "solution_steps": ["Expand: 19x + 117059 + 3998 = 16x + 82535", "Combine constants: 19x + 121057 = 16x + 82535", "Subtract 16x from both sides: 3x + 121057 = 82535", "Subtract 121057 from both sides: 3x = -38522", "Divide both sides by 3: x = -38522/3"], "final_answer": "-38522/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 6161) + 3998 = 16x + 82535", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 6161, \"c\": 3998, \"d\": 16, \"e\": 82535}", "seed": "10988724479117199119", "semantic_fingerprint": "sha256:6390e30c9a869f4e9e044b9c8971afa15013939de521e8816e932d81c95edf2a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000226", "prompt": "What is 5404 / 7652 * (-9609 - (-73765))?", "solution_steps": ["Divide: 5404 / 7652 = 1351/1913", "Subtract: -9609 - (-73765) = 64156", "Multiply: (1351/1913) * 64156 = 86674756/1913"], "final_answer": "86674756/1913", "answer_type": "rational", "kind": "expression", "math_text": "5404 / 7652 * (-9609 - (-73765))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5404, \"b\": 7652, \"c\": -9609, \"d\": -73765}", "seed": "6851911061802405508", "semantic_fingerprint": "sha256:a55aff52144a842c80703c104e4a9df1d17e8b90b4694565819d6d79a9509ebf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000227", "prompt": "Calculate: 19542 / (-37344 / 48593)", "solution_steps": ["Divide: -37344 / 48593 = -37344/48593", "Divide: 19542 / (-37344/48593) = -158267401/6224"], "final_answer": "-158267401/6224", "answer_type": "rational", "kind": "expression", "math_text": "19542 / (-37344 / 48593)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19542, \"b\": -37344, \"c\": 48593}", "seed": "10874970809803479112", "semantic_fingerprint": "sha256:292c39b51a0f6390f2f47b5259a4941a74e74e9a6d2cb35a77028dac5d40f933", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000228", "prompt": "Evaluate: (5759 - (-4822)) / (-43156)", "solution_steps": ["Subtract: 5759 - (-4822) = 10581", "Divide: 10581 / (-43156) = -10581/43156"], "final_answer": "-10581/43156", "answer_type": "rational", "kind": "expression", "math_text": "(5759 - (-4822)) / (-43156)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5759, \"b\": -4822, \"c\": -43156}", "seed": "4789821230675766064", "semantic_fingerprint": "sha256:89da6e0745cb6ff7db97d4e536d061176b0fff4cb0fa0d69c68127cdb2478245", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000229", "prompt": "What value of x satisfies 31x + 27005 = 18(x - 3580) + 64387?", "solution_steps": ["Expand: 31x + 27005 = 18x - 64440 + 64387", "Combine constants: 31x + 27005 = 18x - 53", "Subtract 18x from both sides: 13x + 27005 = -53", "Subtract 27005 from both sides: 13x = -27058", "Divide both sides by 13: x = -27058/13"], "final_answer": "-27058/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "31x + 27005 = 18(x - 3580) + 64387", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 27005, \"c\": 18, \"d\": 3580, \"e\": 64387}", "seed": "16800380477795322454", "semantic_fingerprint": "sha256:a03e607c2f7cded4cc3a64b904687d4d13b918f3b33bb783a269829a21267690", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000230", "prompt": "Solve the equation 37x = -5365 for x.", "solution_steps": ["Divide both sides by 37: x = -145"], "final_answer": "-145", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = -5365", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": -5365, \"x\": -145}", "seed": "14354163906244839651", "semantic_fingerprint": "sha256:11a0defdf70ed4613c5061089ad41eedf2e6c03dc0c4213e11447b2b46d166ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000231", "prompt": "Compute: -1276 / (-6315)", "solution_steps": ["Divide: -1276 / (-6315) = 1276/6315"], "final_answer": "1276/6315", "answer_type": "rational", "kind": "expression", "math_text": "-1276 / (-6315)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1276, \"b\": -6315}", "seed": "15048211965657964994", "semantic_fingerprint": "sha256:27b57c8975717008d075276fe2ae0c53c522de76241b88685c73ba6f5c9a5c8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000232", "prompt": "Find x: -25x + 89820 = 25(x - 51923) - 1054", "solution_steps": ["Expand: -25x + 89820 = 25x - 1298075 - 1054", "Combine constants: -25x + 89820 = 25x - 1299129", "Subtract 25x from both sides: -50x + 89820 = -1299129", "Subtract 89820 from both sides: -50x = -1388949", "Divide both sides by -50: x = 1388949/50"], "final_answer": "1388949/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25x + 89820 = 25(x - 51923) - 1054", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 89820, \"c\": 25, \"d\": 51923, \"e\": 1054}", "seed": "15849802020002113674", "semantic_fingerprint": "sha256:548697ca765618e7f391e9eb96a2ac19a49eabc1ec001db8578ebd5c52c99aa9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000233", "prompt": "What value of x satisfies 29(x - 96667) - 2424 = 6053?", "solution_steps": ["Expand: 29x - 2803343 - 2424 = 6053", "Combine constants: 29x - 2805767 = 6053", "Add 2805767 to both sides: 29x = 2811820", "Divide both sides by 29: x = 2811820/29"], "final_answer": "2811820/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 96667) - 2424 = 6053", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 96667, \"c\": 2424, \"d\": 6053}", "seed": "5315263532176907375", "semantic_fingerprint": "sha256:a5f9bc0a6d9561c53df83578f54f537c0a744889fe077f78c637da1949c53e96", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000234", "prompt": "Compute: (2800 * 1306 - 1315 + 30051) * (77092 - (-38751))", "solution_steps": ["Multiply: 2800 * 1306 = 3656800", "Subtract: 3656800 - 1315 = 3655485", "Add: 3655485 + 30051 = 3685536", "Subtract: 77092 - (-38751) = 115843", "Multiply: 3685536 * 115843 = 426943546848"], "final_answer": "426943546848", "answer_type": "integer", "kind": "expression", "math_text": "(2800 * 1306 - 1315 + 30051) * (77092 - (-38751))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- (* n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2800, \"b\": 1306, \"c\": 1315, \"d\": 30051, \"e\": 77092, \"f\": -38751}", "seed": "17300260973404551107", "semantic_fingerprint": "sha256:9c83c702efad6b0c4c47e83b392a64729b4e3377ed7f0ada534230668fa59738", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000235", "prompt": "Evaluate: -7247 * (-4187) / (13211 - (-7831))", "solution_steps": ["Multiply: -7247 * (-4187) = 30343189", "Subtract: 13211 - (-7831) = 21042", "Divide: 30343189 / 21042 = 30343189/21042"], "final_answer": "30343189/21042", "answer_type": "rational", "kind": "expression", "math_text": "-7247 * (-4187) / (13211 - (-7831))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7247, \"b\": -4187, \"c\": 13211, \"d\": -7831}", "seed": "18231729838232981049", "semantic_fingerprint": "sha256:1fe41ba521e46f34868d758835e2c8ffb5f8b7cc02469076ad33fee464f83199", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000236", "prompt": "Solve the equation -32x + 54103 = 36(x + 22125) for x.", "solution_steps": ["Expand: -32x + 54103 = 36x + 796500", "Subtract 36x from both sides: -68x + 54103 = 796500", "Subtract 54103 from both sides: -68x = 742397", "Divide both sides by -68: x = -742397/68"], "final_answer": "-742397/68", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x + 54103 = 36(x + 22125)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 54103, \"c\": 36, \"d\": 22125}", "seed": "12523699542634149221", "semantic_fingerprint": "sha256:6adcab6fec0183b92f35b34ff67b36fe9662eff76f5a2286046307ced9b0c316", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000237", "prompt": "Evaluate: 75745 - (-1689 + (-47877))", "solution_steps": ["Add: -1689 + (-47877) = -49566", "Subtract: 75745 - (-49566) = 125311"], "final_answer": "125311", "answer_type": "integer", "kind": "expression", "math_text": "75745 - (-1689 + (-47877))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75745, \"b\": -1689, \"c\": -47877}", "seed": "17385008990923597784", "semantic_fingerprint": "sha256:43455418770782d58706a11b19a9bc615d408ce49d7a6d9832dd56cd17169362", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000238", "prompt": "Calculate: -43883 + 8864 / (2817 / (-2207))", "solution_steps": ["Divide: 2817 / (-2207) = -2817/2207", "Divide: 8864 / (-2817/2207) = -19562848/2817", "Add: -43883 + (-19562848/2817) = -143181259/2817"], "final_answer": "-143181259/2817", "answer_type": "rational", "kind": "expression", "math_text": "-43883 + 8864 / (2817 / (-2207))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -43883, \"b\": 8864, \"c\": 2817, \"d\": -2207}", "seed": "16246099831888962227", "semantic_fingerprint": "sha256:0f97cfecf4a3f40c9373534f73f68b19ab3083ce6e4cecf7be76f31e91bed1e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000239", "prompt": "What value of x satisfies x = -20(x + 70011)?", "solution_steps": ["Expand: x = -20x - 1400220", "Add 20x to both sides: 21x = -1400220", "Divide both sides by 21: x = -466740/7"], "final_answer": "-466740/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -20(x + 70011)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 70011}", "seed": "14148142691435797866", "semantic_fingerprint": "sha256:38688e3d2e69853479897e8dfaef398e6718ab784acb3d3666d68544f5577db6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000240", "prompt": "Find x: x + 7747 = 28(x - 69641) - 8702", "solution_steps": ["Expand: x + 7747 = 28x - 1949948 - 8702", "Combine constants: x + 7747 = 28x - 1958650", "Subtract 28x from both sides: -27x + 7747 = -1958650", "Subtract 7747 from both sides: -27x = -1966397", "Divide both sides by -27: x = 1966397/27"], "final_answer": "1966397/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 7747 = 28(x - 69641) - 8702", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7747, \"b\": 28, \"c\": 69641, \"d\": 8702}", "seed": "15250500373259843990", "semantic_fingerprint": "sha256:2c8d3b51ef67af13332bd069e1d333200ea81c28dd5082d7f323bfb43973c006", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000241", "prompt": "Find x: 30(x - 9078) + 6772 = -2591", "solution_steps": ["Expand: 30x - 272340 + 6772 = -2591", "Combine constants: 30x - 265568 = -2591", "Add 265568 to both sides: 30x = 262977", "Divide both sides by 30: x = 87659/10"], "final_answer": "87659/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 9078) + 6772 = -2591", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 9078, \"c\": 6772, \"d\": -2591}", "seed": "11839259565500965707", "semantic_fingerprint": "sha256:1d5c2d71306e43a6891fdaab7d187182e71dbc31be5a0da22a97c8d3b6b9daa6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000242", "prompt": "What is 6054 / (-91719)?", "solution_steps": ["Divide: 6054 / (-91719) = -2018/30573"], "final_answer": "-2018/30573", "answer_type": "rational", "kind": "expression", "math_text": "6054 / (-91719)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6054, \"b\": -91719}", "seed": "2809889451131232163", "semantic_fingerprint": "sha256:0b26bceae979387161c46a31bb5f30bc997f5a73c1fdabf5b229b69434bcb87b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000243", "prompt": "Solve for x: x - 4437 = 15x - 3051", "solution_steps": ["Subtract 15x from both sides: -14x - 4437 = -3051", "Add 4437 to both sides: -14x = 1386", "Divide both sides by -14: x = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4437 = 15x - 3051", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4437, \"b\": 15, \"d\": -3051, \"x\": -99}", "seed": "18247863636467821741", "semantic_fingerprint": "sha256:ff9f3194f08ba1f2e80d30003e419fe5bf3c58513b8a36ef7a2dd108791d0afd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000244", "prompt": "Solve for x: 15(x + 2619) = 40(x + 48894)", "solution_steps": ["Expand: 15x + 39285 = 40(x + 48894)", "Expand: 15x + 39285 = 40x + 1955760", "Subtract 40x from both sides: -25x + 39285 = 1955760", "Subtract 39285 from both sides: -25x = 1916475", "Divide both sides by -25: x = -76659"], "final_answer": "-76659", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 2619) = 40(x + 48894)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 2619, \"c\": 40, \"d\": 48894}", "seed": "10299451883009305464", "semantic_fingerprint": "sha256:06c5490974dc09ccbe725c8c268b38e5406fb16b9638ebcb33423c809ded83b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000245", "prompt": "Calculate: 5957 + 7329 / (-89477)", "solution_steps": ["Divide: 7329 / (-89477) = -7329/89477", "Add: 5957 + (-7329/89477) = 533007160/89477"], "final_answer": "533007160/89477", "answer_type": "rational", "kind": "expression", "math_text": "5957 + 7329 / (-89477)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5957, \"b\": 7329, \"c\": -89477}", "seed": "13998767615396826910", "semantic_fingerprint": "sha256:ed2b9f93c83919ac1c1dabb7689659badd99c62804fb09fc22e7433d27433a3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000246", "prompt": "What is 1319 / (-6573) * (-5987 + (-6838 + 36273))?", "solution_steps": ["Divide: 1319 / (-6573) = -1319/6573", "Add: -6838 + 36273 = 29435", "Add: -5987 + 29435 = 23448", "Multiply: (-1319/6573) * 23448 = -10309304/2191"], "final_answer": "-10309304/2191", "answer_type": "rational", "kind": "expression", "math_text": "1319 / (-6573) * (-5987 + (-6838 + 36273))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1319, \"b\": -6573, \"c\": -5987, \"d\": -6838, \"e\": 36273}", "seed": "6453770715707258246", "semantic_fingerprint": "sha256:508f20023c8066f30503c4bbb06dcbd8bb9ba836be6b0ace0d0be5c000250e44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000247", "prompt": "Compute: 31225 - (-99953) - 45298 - (-3754)", "solution_steps": ["Subtract: 31225 - (-99953) = 131178", "Subtract: 131178 - 45298 = 85880", "Subtract: 85880 - (-3754) = 89634"], "final_answer": "89634", "answer_type": "integer", "kind": "expression", "math_text": "31225 - (-99953) - 45298 - (-3754)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31225, \"b\": -99953, \"c\": 45298, \"d\": -3754}", "seed": "8854333064342617125", "semantic_fingerprint": "sha256:8b0a1f9f90378a24513726b43afb09d701638fa3e89929c408e4aa09c7b6dc2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000248", "prompt": "Compute: 5773 - 35677 - 72690", "solution_steps": ["Subtract: 5773 - 35677 = -29904", "Subtract: -29904 - 72690 = -102594"], "final_answer": "-102594", "answer_type": "integer", "kind": "expression", "math_text": "5773 - 35677 - 72690", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5773, \"b\": 35677, \"c\": 72690}", "seed": "10921136259854674795", "semantic_fingerprint": "sha256:d952a29e38f33df8e797e60cf2b6f51b0c96f91925f3fd645c6810b2ce3c5a8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000249", "prompt": "What is 93673 - 1855 + (-8918) - (9629 - 54222)?", "solution_steps": ["Subtract: 93673 - 1855 = 91818", "Add: 91818 + (-8918) = 82900", "Subtract: 9629 - 54222 = -44593", "Subtract: 82900 - (-44593) = 127493"], "final_answer": "127493", "answer_type": "integer", "kind": "expression", "math_text": "93673 - 1855 + (-8918) - (9629 - 54222)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 93673, \"b\": 1855, \"c\": -8918, \"d\": 9629, \"e\": 54222}", "seed": "12851055216537817499", "semantic_fingerprint": "sha256:221364c8e669bd6edd6ea9871f4b0e0977b479ff92c10eb49711801975aa3bbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000250", "prompt": "What is -84321 / 2868?", "solution_steps": ["Divide: -84321 / 2868 = -28107/956"], "final_answer": "-28107/956", "answer_type": "rational", "kind": "expression", "math_text": "-84321 / 2868", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84321, \"b\": 2868}", "seed": "6451602788723500977", "semantic_fingerprint": "sha256:df0fb8f2c2085ccd2fc83950372fcae533f3bf2aa2cc27309de71e35bab438d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000251", "prompt": "What is (-44532 - (-7505)) / (58667 + (-4520))?", "solution_steps": ["Subtract: -44532 - (-7505) = -37027", "Add: 58667 + (-4520) = 54147", "Divide: -37027 / 54147 = -37027/54147"], "final_answer": "-37027/54147", "answer_type": "rational", "kind": "expression", "math_text": "(-44532 - (-7505)) / (58667 + (-4520))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -44532, \"b\": -7505, \"c\": 58667, \"d\": -4520}", "seed": "3429953298595638437", "semantic_fingerprint": "sha256:76c2ea93b85467944aca7058d6e9d926a2eaa796c5081d0dd5ea3b06249321ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000252", "prompt": "Solve the equation x = 39(x + 10540) for x.", "solution_steps": ["Expand: x = 39x + 411060", "Subtract 39x from both sides: -38x = 411060", "Divide both sides by -38: x = -205530/19"], "final_answer": "-205530/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 39(x + 10540)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 10540}", "seed": "2858310201801840751", "semantic_fingerprint": "sha256:35fdefe0f749da5a42e3e5dafb8ff4a43ba7bc4b8bfbdf04fff35fb294c89b90", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000253", "prompt": "What value of x satisfies 27(x - 8292) = 40(x - 3807) - 70915?", "solution_steps": ["Expand: 27x - 223884 = 40(x - 3807) - 70915", "Expand: 27x - 223884 = 40x - 152280 - 70915", "Combine constants: 27x - 223884 = 40x - 223195", "Subtract 40x from both sides: -13x - 223884 = -223195", "Add 223884 to both sides: -13x = 689", "Divide both sides by -13: x = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x - 8292) = 40(x - 3807) - 70915", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 8292, \"c\": 40, \"d\": 3807, \"f\": -70915, \"x\": -53}", "seed": "5421695304055028815", "semantic_fingerprint": "sha256:9aaab24b009d47c8fcc208a74f93480244bed5b1854bfec7825b96a812b19526", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000254", "prompt": "What value of x satisfies x + 8267 = -14(x + 53417) + 1176?", "solution_steps": ["Expand: x + 8267 = -14x - 747838 + 1176", "Combine constants: x + 8267 = -14x - 746662", "Add 14x to both sides: 15x + 8267 = -746662", "Subtract 8267 from both sides: 15x = -754929", "Divide both sides by 15: x = -251643/5"], "final_answer": "-251643/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8267 = -14(x + 53417) + 1176", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8267, \"b\": -14, \"c\": 53417, \"d\": 1176}", "seed": "8269371726383640759", "semantic_fingerprint": "sha256:f4f4d59265524b63bbe7c03ae057ff652e6b20137099e75cb3cd6ab7564890af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000255", "prompt": "Solve the equation 37x + 66229 = x + 72313 for x.", "solution_steps": ["Subtract x from both sides: 36x + 66229 = 72313", "Subtract 66229 from both sides: 36x = 6084", "Divide both sides by 36: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x + 66229 = x + 72313", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 66229, \"d\": 72313, \"x\": 169}", "seed": "8701189996086289680", "semantic_fingerprint": "sha256:2fdb580250f57bf8f4fb493ac38f094e36f4abe2f92758080b8389c287b9c0c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000256", "prompt": "Evaluate: 63126 / (-2182)", "solution_steps": ["Divide: 63126 / (-2182) = -31563/1091"], "final_answer": "-31563/1091", "answer_type": "rational", "kind": "expression", "math_text": "63126 / (-2182)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63126, \"b\": -2182}", "seed": "13697050914228954406", "semantic_fingerprint": "sha256:798bf9c13f76a8c6a04cd87a67c7b1c3cb06ef1cdf30a10a44e10bd77a538892", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000257", "prompt": "Calculate: 9733 - 8701", "solution_steps": ["Subtract: 9733 - 8701 = 1032"], "final_answer": "1032", "answer_type": "integer", "kind": "expression", "math_text": "9733 - 8701", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9733, \"b\": 8701}", "seed": "15007668389660796137", "semantic_fingerprint": "sha256:bd6e525a9ad31517427f0ddfe3657f077a86816dfa635957f3bf1770e0e2b1aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000258", "prompt": "Solve for x: 24(x - 4161) = 33x", "solution_steps": ["Expand: 24x - 99864 = 33x", "Subtract 33x from both sides: -9x - 99864 = 0", "Add 99864 to both sides: -9x = 99864", "Divide both sides by -9: x = -11096"], "final_answer": "-11096", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x - 4161) = 33x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 4161, \"c\": 33}", "seed": "10250552236079600208", "semantic_fingerprint": "sha256:3ae52e23759071fa14bc11305e1e655447a5747043060ae1a99b41707f0598a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000259", "prompt": "What value of x satisfies 30(x + 9290) + 47838 = -24x + 65675?", "solution_steps": ["Expand: 30x + 278700 + 47838 = -24x + 65675", "Combine constants: 30x + 326538 = -24x + 65675", "Add 24x to both sides: 54x + 326538 = 65675", "Subtract 326538 from both sides: 54x = -260863", "Divide both sides by 54: x = -260863/54"], "final_answer": "-260863/54", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 9290) + 47838 = -24x + 65675", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 9290, \"c\": 47838, \"d\": -24, \"e\": 65675}", "seed": "9337683358250425148", "semantic_fingerprint": "sha256:ccdbc4ed4e77a5b73081525cd5220a7a0952859549e9f072a5b087e459133e2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000260", "prompt": "Compute: -7828 - 31988 - (-4829) / (-87618)", "solution_steps": ["Subtract: -7828 - 31988 = -39816", "Divide: -4829 / (-87618) = 4829/87618", "Subtract: -39816 - 4829/87618 = -3488603117/87618"], "final_answer": "-3488603117/87618", "answer_type": "rational", "kind": "expression", "math_text": "-7828 - 31988 - (-4829) / (-87618)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7828, \"b\": 31988, \"c\": -4829, \"d\": -87618}", "seed": "5531180963515375147", "semantic_fingerprint": "sha256:b871ec4f8850bb153909a6a6049dcc4b4dbef536300368b70955d6fbe7d9bdb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000261", "prompt": "Compute: (2848 + (-6884)) / (-7239)", "solution_steps": ["Add: 2848 + (-6884) = -4036", "Divide: -4036 / (-7239) = 4036/7239"], "final_answer": "4036/7239", "answer_type": "rational", "kind": "expression", "math_text": "(2848 + (-6884)) / (-7239)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2848, \"b\": -6884, \"c\": -7239}", "seed": "15529441144423919632", "semantic_fingerprint": "sha256:3202573bef4c89137bcefb07024f462e489794d5ebed1b6b160fe0e18d6e7852", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000262", "prompt": "Calculate: -63317 - (-7407 - (8370 + 2303) - 4296)", "solution_steps": ["Add: 8370 + 2303 = 10673", "Subtract: -7407 - 10673 = -18080", "Subtract: -18080 - 4296 = -22376", "Subtract: -63317 - (-22376) = -40941"], "final_answer": "-40941", "answer_type": "integer", "kind": "expression", "math_text": "-63317 - (-7407 - (8370 + 2303) - 4296)", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -63317, \"b\": -7407, \"c\": 8370, \"d\": 2303, \"e\": 4296}", "seed": "6838266029218475008", "semantic_fingerprint": "sha256:47915878a66fc908b261c18b6468106adeede472a8586b5d24fcb14099b85679", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000263", "prompt": "Find x: x + 8187 = 8374", "solution_steps": ["Subtract 8187 from both sides: x = 187"], "final_answer": "187", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8187 = 8374", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8187, \"c\": 8374, \"x\": 187}", "seed": "2548008631858808447", "semantic_fingerprint": "sha256:29ef2c2030ee25b6c5dcd6dadf11fb26b5b07270833ce2ef6d8406feb08a32f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000264", "prompt": "Evaluate: 61439 / 7518 - (-5991 - (-12719))", "solution_steps": ["Divide: 61439 / 7518 = 8777/1074", "Subtract: -5991 - (-12719) = 6728", "Subtract: 8777/1074 - 6728 = -7217095/1074"], "final_answer": "-7217095/1074", "answer_type": "rational", "kind": "expression", "math_text": "61439 / 7518 - (-5991 - (-12719))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61439, \"b\": 7518, \"c\": -5991, \"d\": -12719}", "seed": "17881083742983543973", "semantic_fingerprint": "sha256:1b8c6ae7dd107002ac87747b2feb1cd4ce3f3a39584bb3dd085bafbefaa81191", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000265", "prompt": "Calculate: -6100 / 2122", "solution_steps": ["Divide: -6100 / 2122 = -3050/1061"], "final_answer": "-3050/1061", "answer_type": "rational", "kind": "expression", "math_text": "-6100 / 2122", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6100, \"b\": 2122}", "seed": "14685624921501854802", "semantic_fingerprint": "sha256:803f4fab51f30375f4d13954ac5893ff48f3a1e22c333a8862e970e35cf2fb3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000266", "prompt": "Calculate: 4661 - (-6631) * (-8824)", "solution_steps": ["Multiply: -6631 * (-8824) = 58511944", "Subtract: 4661 - 58511944 = -58507283"], "final_answer": "-58507283", "answer_type": "integer", "kind": "expression", "math_text": "4661 - (-6631) * (-8824)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4661, \"b\": -6631, \"c\": -8824}", "seed": "2877418803273935202", "semantic_fingerprint": "sha256:e900146ca4bbf944fd4daeee8edc548c98004683e77867fb7f3ff3060f18a224", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000267", "prompt": "Solve the equation 14x + 6753 = x + 6207 for x.", "solution_steps": ["Subtract x from both sides: 13x + 6753 = 6207", "Subtract 6753 from both sides: 13x = -546", "Divide both sides by 13: x = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x + 6753 = x + 6207", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6753, \"d\": 6207, \"x\": -42}", "seed": "56527561959184379", "semantic_fingerprint": "sha256:a5acfc2a095b0465d73bab735cdf77eb0f942b2106548c0bd14684365999ffe9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000268", "prompt": "What is -94021 + 6310 + 85818 - (-9762)?", "solution_steps": ["Add: -94021 + 6310 = -87711", "Add: -87711 + 85818 = -1893", "Subtract: -1893 - (-9762) = 7869"], "final_answer": "7869", "answer_type": "integer", "kind": "expression", "math_text": "-94021 + 6310 + 85818 - (-9762)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -94021, \"b\": 6310, \"c\": 85818, \"d\": -9762}", "seed": "3415656960993847053", "semantic_fingerprint": "sha256:7df8ac41c87ba03172439f4ff4a1ac83909499fbedf2d09a90e983fc96b48f78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000269", "prompt": "What is (-10176 - 5871) / 73978?", "solution_steps": ["Subtract: -10176 - 5871 = -16047", "Divide: -16047 / 73978 = -16047/73978"], "final_answer": "-16047/73978", "answer_type": "rational", "kind": "expression", "math_text": "(-10176 - 5871) / 73978", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -10176, \"b\": 5871, \"c\": 73978}", "seed": "14873736322098489300", "semantic_fingerprint": "sha256:2f3d36dd2dda0fefb1976db55254468e784105d58e65c7e3f8976dfab0e7e059", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000270", "prompt": "Solve for x: 16x + 1162 = 33(x - 2131) + 73508", "solution_steps": ["Expand: 16x + 1162 = 33x - 70323 + 73508", "Combine constants: 16x + 1162 = 33x + 3185", "Subtract 33x from both sides: -17x + 1162 = 3185", "Subtract 1162 from both sides: -17x = 2023", "Divide both sides by -17: x = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x + 1162 = 33(x - 2131) + 73508", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 1162, \"c\": 33, \"d\": 2131, \"f\": 73508, \"x\": -119}", "seed": "16039510481267878879", "semantic_fingerprint": "sha256:3b10be021be8adb5e4eec5f73ffc598a2f50d8c99660061e200cfca95d112442", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000271", "prompt": "Solve for x: 35(x - 49407) + 4750 = -3106", "solution_steps": ["Expand: 35x - 1729245 + 4750 = -3106", "Combine constants: 35x - 1724495 = -3106", "Add 1724495 to both sides: 35x = 1721389", "Divide both sides by 35: x = 1721389/35"], "final_answer": "1721389/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 49407) + 4750 = -3106", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 49407, \"c\": 4750, \"d\": -3106}", "seed": "6566130002653641126", "semantic_fingerprint": "sha256:167f1f216a04f0e4b4e9051b9884b821a1bd16bdcea8340873fe374504b9f573", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000272", "prompt": "What is -6703 / (-3632)?", "solution_steps": ["Divide: -6703 / (-3632) = 6703/3632"], "final_answer": "6703/3632", "answer_type": "rational", "kind": "expression", "math_text": "-6703 / (-3632)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6703, \"b\": -3632}", "seed": "17752233086462918332", "semantic_fingerprint": "sha256:b30b5ea6b0a5202dca815544e4a4f878e18c515018bfec266c1d63fc674db9c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000273", "prompt": "Evaluate: -9042 / (-9118) + (-96042 - (-48322))", "solution_steps": ["Divide: -9042 / (-9118) = 4521/4559", "Subtract: -96042 - (-48322) = -47720", "Add: 4521/4559 + (-47720) = -217550959/4559"], "final_answer": "-217550959/4559", "answer_type": "rational", "kind": "expression", "math_text": "-9042 / (-9118) + (-96042 - (-48322))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9042, \"b\": -9118, \"c\": -96042, \"d\": -48322}", "seed": "334687020757643649", "semantic_fingerprint": "sha256:2f7262a71f185248819af8e65a1722566e7f67cf53a703bdaabece021e863bb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000274", "prompt": "Calculate: 48348 / (-51548)", "solution_steps": ["Divide: 48348 / (-51548) = -12087/12887"], "final_answer": "-12087/12887", "answer_type": "rational", "kind": "expression", "math_text": "48348 / (-51548)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 48348, \"b\": -51548}", "seed": "16653756783306844773", "semantic_fingerprint": "sha256:0f9e2d3696d407220cd2e5c852cb19fc2fd0a41840a579124042e987af0f6c4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000275", "prompt": "Compute: -3796 + 3740", "solution_steps": ["Add: -3796 + 3740 = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "expression", "math_text": "-3796 + 3740", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3796, \"b\": 3740}", "seed": "3032825601720568466", "semantic_fingerprint": "sha256:c5c0ee435c39c46a4cc47c02405edbc2f65a7c3b297956825fb7d02d1b7a738f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000276", "prompt": "Solve for x: 30x + 5069 = x + 7070", "solution_steps": ["Subtract x from both sides: 29x + 5069 = 7070", "Subtract 5069 from both sides: 29x = 2001", "Divide both sides by 29: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 5069 = x + 7070", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 5069, \"d\": 7070, \"x\": 69}", "seed": "15509364525414657247", "semantic_fingerprint": "sha256:f324b86aeba2993cd53e22b3007d800fe7bd1ca253cbda58175eade5a0ac0004", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000277", "prompt": "What value of x satisfies 29(x - 5261) - 3120 = x?", "solution_steps": ["Expand: 29x - 152569 - 3120 = x", "Combine constants: 29x - 155689 = x", "Subtract x from both sides: 28x - 155689 = 0", "Add 155689 to both sides: 28x = 155689", "Divide both sides by 28: x = 155689/28"], "final_answer": "155689/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 5261) - 3120 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 5261, \"c\": 3120}", "seed": "6226538764330399141", "semantic_fingerprint": "sha256:a5e5f67cdcb33be180a90676e89d81a0369bd3ed6f362616684364880ba7b6a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000278", "prompt": "Find x: x - 2412 = -34(x + 3707)", "solution_steps": ["Expand: x - 2412 = -34x - 126038", "Add 34x to both sides: 35x - 2412 = -126038", "Add 2412 to both sides: 35x = -123626", "Divide both sides by 35: x = -123626/35"], "final_answer": "-123626/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2412 = -34(x + 3707)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2412, \"b\": -34, \"c\": 3707}", "seed": "8589258283049646759", "semantic_fingerprint": "sha256:05c46195111caabcef99b85944154e71890fa3f558b3cfad33d5063aa3277c35", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000279", "prompt": "What is 2771 - (-69174)?", "solution_steps": ["Subtract: 2771 - (-69174) = 71945"], "final_answer": "71945", "answer_type": "integer", "kind": "expression", "math_text": "2771 - (-69174)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2771, \"b\": -69174}", "seed": "2510700033045214938", "semantic_fingerprint": "sha256:78b0a91ce201df13c4d8603a5e74d499a87bf6c13be705633220b291281b9972", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000280", "prompt": "Evaluate: 8118 * (-8214 / 9748)", "solution_steps": ["Divide: -8214 / 9748 = -4107/4874", "Multiply: 8118 * (-4107/4874) = -16670313/2437"], "final_answer": "-16670313/2437", "answer_type": "rational", "kind": "expression", "math_text": "8118 * (-8214 / 9748)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8118, \"b\": -8214, \"c\": 9748}", "seed": "9261736596796706223", "semantic_fingerprint": "sha256:6163568bed89f1642399a2ade6f22a154307ff1dc399d111f6bdae5ee458264b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000281", "prompt": "Calculate: -58411 * (8224 - 3322) - (-3718)", "solution_steps": ["Subtract: 8224 - 3322 = 4902", "Multiply: -58411 * 4902 = -286330722", "Subtract: -286330722 - (-3718) = -286327004"], "final_answer": "-286327004", "answer_type": "integer", "kind": "expression", "math_text": "-58411 * (8224 - 3322) - (-3718)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -58411, \"b\": 8224, \"c\": 3322, \"d\": -3718}", "seed": "18177843218234547492", "semantic_fingerprint": "sha256:5ca2e6840b4f14cebe299e4e48e5e75f588949d3974f46152deac0db0bfe4068", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000282", "prompt": "Evaluate: -9982 - 6940 + (-2369) * (-8123)", "solution_steps": ["Subtract: -9982 - 6940 = -16922", "Multiply: -2369 * (-8123) = 19243387", "Add: -16922 + 19243387 = 19226465"], "final_answer": "19226465", "answer_type": "integer", "kind": "expression", "math_text": "-9982 - 6940 + (-2369) * (-8123)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9982, \"b\": 6940, \"c\": -2369, \"d\": -8123}", "seed": "15038211524420632662", "semantic_fingerprint": "sha256:f0b37962d7ad5440b79513a60cbccfd7e8a7e9825acbf46712f29225fc026b7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000283", "prompt": "What value of x satisfies -16x - 5022 = x - 4053?", "solution_steps": ["Subtract x from both sides: -17x - 5022 = -4053", "Add 5022 to both sides: -17x = 969", "Divide both sides by -17: x = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x - 5022 = x - 4053", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 5022, \"d\": -4053, \"x\": -57}", "seed": "6165588340966303136", "semantic_fingerprint": "sha256:11914cf753881598b28e9df479acf30ab7f7c859a51a292994214475d7c5db80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000284", "prompt": "Calculate: -28488 / 3240 + (6313 + 4219) / (-5414)", "solution_steps": ["Divide: -28488 / 3240 = -1187/135", "Add: 6313 + 4219 = 10532", "Divide: 10532 / (-5414) = -5266/2707", "Add: -1187/135 + (-5266/2707) = -3924119/365445"], "final_answer": "-3924119/365445", "answer_type": "rational", "kind": "expression", "math_text": "-28488 / 3240 + (6313 + 4219) / (-5414)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28488, \"b\": 3240, \"c\": 6313, \"d\": 4219, \"e\": -5414}", "seed": "13097069001674516810", "semantic_fingerprint": "sha256:77942a29c1bf9b1928a154ed829738f7e69b8c9f71af575da15d0c3cc561d1c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000285", "prompt": "What is 1494 - (-7145)?", "solution_steps": ["Subtract: 1494 - (-7145) = 8639"], "final_answer": "8639", "answer_type": "integer", "kind": "expression", "math_text": "1494 - (-7145)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1494, \"b\": -7145}", "seed": "16234687225273670076", "semantic_fingerprint": "sha256:db4fbed78bddca2391afd918548d85b18cd2f0386755c1490a58f54d9c9f8027", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000286", "prompt": "Calculate: 3257 * 9494", "solution_steps": ["Multiply: 3257 * 9494 = 30921958"], "final_answer": "30921958", "answer_type": "integer", "kind": "expression", "math_text": "3257 * 9494", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3257, \"b\": 9494}", "seed": "1521317995038931303", "semantic_fingerprint": "sha256:6c81a16c6130499db3bd2bbf140eed9992752dc9dd1ed144b0482bc4bb61cd18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000287", "prompt": "Evaluate: 11568 - (98322 * 5386 - 9886)", "solution_steps": ["Multiply: 98322 * 5386 = 529562292", "Subtract: 529562292 - 9886 = 529552406", "Subtract: 11568 - 529552406 = -529540838"], "final_answer": "-529540838", "answer_type": "integer", "kind": "expression", "math_text": "11568 - (98322 * 5386 - 9886)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 11568, \"b\": 98322, \"c\": 5386, \"d\": 9886}", "seed": "15238162024154433382", "semantic_fingerprint": "sha256:fd875d14ff27b1b78957fb7cc8e49293f592000380b8a7c0c93ea2e55daa9546", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000288", "prompt": "Calculate: -2914 * (-12070 - (-2222 + (-5901)))", "solution_steps": ["Add: -2222 + (-5901) = -8123", "Subtract: -12070 - (-8123) = -3947", "Multiply: -2914 * (-3947) = 11501558"], "final_answer": "11501558", "answer_type": "integer", "kind": "expression", "math_text": "-2914 * (-12070 - (-2222 + (-5901)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2914, \"b\": -12070, \"c\": -2222, \"d\": -5901}", "seed": "5774819762146571857", "semantic_fingerprint": "sha256:aa85a0357c0c5f7298bc1fe6f720b5d3179404fd6c33ddebbf4d929b2b85a962", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000289", "prompt": "Solve the equation x - 7607 = 33x - 11863 for x.", "solution_steps": ["Subtract 33x from both sides: -32x - 7607 = -11863", "Add 7607 to both sides: -32x = -4256", "Divide both sides by -32: x = 133"], "final_answer": "133", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7607 = 33x - 11863", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7607, \"b\": 33, \"d\": -11863, \"x\": 133}", "seed": "6951127490919196137", "semantic_fingerprint": "sha256:65d0da02a9336cfc30492ec293d7dd8e845787c86458fd1e1bdce27c606c139a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000290", "prompt": "Calculate: -3485 * (-42161 * 2571)", "solution_steps": ["Multiply: -42161 * 2571 = -108395931", "Multiply: -3485 * (-108395931) = 377759819535"], "final_answer": "377759819535", "answer_type": "integer", "kind": "expression", "math_text": "-3485 * (-42161 * 2571)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3485, \"b\": -42161, \"c\": 2571}", "seed": "4754312965013705028", "semantic_fingerprint": "sha256:1c788c190effbe1c8b2eb3a26b0a1ce2376ba3309c02f35eba156edc22779e73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000291", "prompt": "What is 7811 / 50715?", "solution_steps": ["Divide: 7811 / 50715 = 7811/50715"], "final_answer": "7811/50715", "answer_type": "rational", "kind": "expression", "math_text": "7811 / 50715", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7811, \"b\": 50715}", "seed": "17456259279997818822", "semantic_fingerprint": "sha256:77237666d8cdbaeefe465656965bfbd1b338f6c9405e5c4a9db12e0c0cf894dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000292", "prompt": "Solve the equation 18x = 40(x - 41117) for x.", "solution_steps": ["Expand: 18x = 40x - 1644680", "Subtract 40x from both sides: -22x = -1644680", "Divide both sides by -22: x = 822340/11"], "final_answer": "822340/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x = 40(x - 41117)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 40, \"c\": 41117}", "seed": "4768068985629747122", "semantic_fingerprint": "sha256:215f6fe41324188bf0269bd0f35c9d88e3e076e98836d3b131c52a2a03dc7776", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000293", "prompt": "What value of x satisfies -29x = 30(x - 8435) + 7894?", "solution_steps": ["Expand: -29x = 30x - 253050 + 7894", "Combine constants: -29x = 30x - 245156", "Subtract 30x from both sides: -59x = -245156", "Divide both sides by -59: x = 245156/59"], "final_answer": "245156/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29x = 30(x - 8435) + 7894", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 30, \"c\": 8435, \"d\": 7894}", "seed": "5195013094482485152", "semantic_fingerprint": "sha256:a0de24cf8fe1ef88d6d5c0be160ef70642c8d1284000d1ca3b60cab46721b31e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000294", "prompt": "What is -4441 - 10262 / (-68697 + (-2948) - 1815)?", "solution_steps": ["Add: -68697 + (-2948) = -71645", "Subtract: -71645 - 1815 = -73460", "Divide: 10262 / (-73460) = -5131/36730", "Subtract: -4441 - (-5131/36730) = -163112799/36730"], "final_answer": "-163112799/36730", "answer_type": "rational", "kind": "expression", "math_text": "-4441 - 10262 / (-68697 + (-2948) - 1815)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (- (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4441, \"b\": 10262, \"c\": -68697, \"d\": -2948, \"e\": 1815}", "seed": "7696745110406698510", "semantic_fingerprint": "sha256:d614836c18ffcaa326dcc27bb2bf779b5d23eea5e9dab0755d5099ba91644c5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000295", "prompt": "What value of x satisfies 18x = 34(x + 1401)?", "solution_steps": ["Expand: 18x = 34x + 47634", "Subtract 34x from both sides: -16x = 47634", "Divide both sides by -16: x = -23817/8"], "final_answer": "-23817/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x = 34(x + 1401)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 34, \"c\": 1401}", "seed": "533127726453118657", "semantic_fingerprint": "sha256:3a5632c778e65df0039cd4489edb450d4dad5ef24e530ee8fb54e01db2b1ebd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000296", "prompt": "Solve for x: 36(x - 4902) = 24(x + 1211) + 3676", "solution_steps": ["Expand: 36x - 176472 = 24(x + 1211) + 3676", "Expand: 36x - 176472 = 24x + 29064 + 3676", "Combine constants: 36x - 176472 = 24x + 32740", "Subtract 24x from both sides: 12x - 176472 = 32740", "Add 176472 to both sides: 12x = 209212", "Divide both sides by 12: x = 52303/3"], "final_answer": "52303/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 4902) = 24(x + 1211) + 3676", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 4902, \"c\": 24, \"d\": 1211, \"e\": 3676}", "seed": "14000548130428837491", "semantic_fingerprint": "sha256:5bc185dd7d3c9622221098ca6ba9eb7bf59e3e9d2c1aebe42a4dc917cfc603c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000297", "prompt": "What is -58078 + (3170 - 4142 * (-89447))?", "solution_steps": ["Multiply: 4142 * (-89447) = -370489474", "Subtract: 3170 - (-370489474) = 370492644", "Add: -58078 + 370492644 = 370434566"], "final_answer": "370434566", "answer_type": "integer", "kind": "expression", "math_text": "-58078 + (3170 - 4142 * (-89447))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -58078, \"b\": 3170, \"c\": 4142, \"d\": -89447}", "seed": "13605974896337394883", "semantic_fingerprint": "sha256:17a8b6913ed7317c3ae34110a8a42defe8755101e450003b0ffd5e410b0c16b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000298", "prompt": "What is (7975 + 6327) / 44137?", "solution_steps": ["Add: 7975 + 6327 = 14302", "Divide: 14302 / 44137 = 14302/44137"], "final_answer": "14302/44137", "answer_type": "rational", "kind": "expression", "math_text": "(7975 + 6327) / 44137", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7975, \"b\": 6327, \"c\": 44137}", "seed": "1415425694397123774", "semantic_fingerprint": "sha256:d33857cd6f19599d56d503e8f96c5ba4bbade4d45a8e7623a7edb05ea71e9796", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000299", "prompt": "Solve for x: 22x + 6913 = 18(x + 4751) - 78301", "solution_steps": ["Expand: 22x + 6913 = 18x + 85518 - 78301", "Combine constants: 22x + 6913 = 18x + 7217", "Subtract 18x from both sides: 4x + 6913 = 7217", "Subtract 6913 from both sides: 4x = 304", "Divide both sides by 4: x = 76"], "final_answer": "76", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x + 6913 = 18(x + 4751) - 78301", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 6913, \"c\": 18, \"d\": 4751, \"f\": -78301, \"x\": 76}", "seed": "7596663694981924705", "semantic_fingerprint": "sha256:628a0c7d35526a30007e4cf7057b8a9714d2ba6d8a8c129b8d08e4b5c4326119", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000300", "prompt": "Evaluate: -22842 + 42126", "solution_steps": ["Add: -22842 + 42126 = 19284"], "final_answer": "19284", "answer_type": "integer", "kind": "expression", "math_text": "-22842 + 42126", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -22842, \"b\": 42126}", "seed": "1771403306555912709", "semantic_fingerprint": "sha256:684a7384ee1fd624e2fe788de16e550921eafa4a4e24c1f80c54ed53ea72667f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000301", "prompt": "Solve the equation 17x + 7842 = 65795 for x.", "solution_steps": ["Subtract 7842 from both sides: 17x = 57953", "Divide both sides by 17: x = 3409"], "final_answer": "3409", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 7842 = 65795", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 7842, \"c\": 65795}", "seed": "15247428029960504284", "semantic_fingerprint": "sha256:7c98d1f68968f658504e8d05eeec8cb87ec5bf7c32979e24ec8721feebc00228", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000302", "prompt": "Evaluate: 73512 * (-4585 + 4816)", "solution_steps": ["Add: -4585 + 4816 = 231", "Multiply: 73512 * 231 = 16981272"], "final_answer": "16981272", "answer_type": "integer", "kind": "expression", "math_text": "73512 * (-4585 + 4816)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73512, \"b\": -4585, \"c\": 4816}", "seed": "13877561953225381227", "semantic_fingerprint": "sha256:3f9e247fb29b402b2bd1588830c76ba7a6f94d24b861db22ae7a214be6c684d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000303", "prompt": "Calculate: -5369 - 3349 * (-1888 - (-99200))", "solution_steps": ["Subtract: -1888 - (-99200) = 97312", "Multiply: 3349 * 97312 = 325897888", "Subtract: -5369 - 325897888 = -325903257"], "final_answer": "-325903257", "answer_type": "integer", "kind": "expression", "math_text": "-5369 - 3349 * (-1888 - (-99200))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5369, \"b\": 3349, \"c\": -1888, \"d\": -99200}", "seed": "1501986753881604395", "semantic_fingerprint": "sha256:d1c2dfe0d25c4c6fb6b7499f795a890e4b179fbb40209cdd885adc59eba10302", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000304", "prompt": "Evaluate: -5771 * 7090 * (-6503)", "solution_steps": ["Multiply: -5771 * 7090 = -40916390", "Multiply: -40916390 * (-6503) = 266079284170"], "final_answer": "266079284170", "answer_type": "integer", "kind": "expression", "math_text": "-5771 * 7090 * (-6503)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5771, \"b\": 7090, \"c\": -6503}", "seed": "9743754787577297602", "semantic_fingerprint": "sha256:24d39c33fece537709f9459180183c76063f7d62af408efe927fa1faeb61f4e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000305", "prompt": "What value of x satisfies x - 7924 = -7762?", "solution_steps": ["Add 7924 to both sides: x = 162"], "final_answer": "162", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7924 = -7762", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7924, \"c\": -7762, \"x\": 162}", "seed": "5452509950787608386", "semantic_fingerprint": "sha256:9252d18455416433faeac7d369beb477f109a27580549551a3271fa1c8626fe7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000306", "prompt": "Calculate: 5725 - 28864 + (-2254 * 5076 + (-6609)) / (-3677)", "solution_steps": ["Subtract: 5725 - 28864 = -23139", "Multiply: -2254 * 5076 = -11441304", "Add: -11441304 + (-6609) = -11447913", "Divide: -11447913 / (-3677) = 11447913/3677", "Add: -23139 + 11447913/3677 = -73634190/3677"], "final_answer": "-73634190/3677", "answer_type": "rational", "kind": "expression", "math_text": "5725 - 28864 + (-2254 * 5076 + (-6609)) / (-3677)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (/ (+ (* n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5725, \"b\": 28864, \"c\": -2254, \"d\": 5076, \"e\": -6609, \"f\": -3677}", "seed": "1767434239517390890", "semantic_fingerprint": "sha256:03d8328fd600d91b04c580de341c8fe1bbafb47bbbbc9b063af8b8826b6c036e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000307", "prompt": "Calculate: 7988 / 31784 - (-28092)", "solution_steps": ["Divide: 7988 / 31784 = 1997/7946", "Subtract: 1997/7946 - (-28092) = 223221029/7946"], "final_answer": "223221029/7946", "answer_type": "rational", "kind": "expression", "math_text": "7988 / 31784 - (-28092)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7988, \"b\": 31784, \"c\": -28092}", "seed": "8447183037469221973", "semantic_fingerprint": "sha256:d3ae2fd08e44a7a2cdc8c5d6c7be56c9ec2a2ee35fbd736fb9ea5b69d793f621", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000308", "prompt": "Compute: -31861 * (45731 - 65291)", "solution_steps": ["Subtract: 45731 - 65291 = -19560", "Multiply: -31861 * (-19560) = 623201160"], "final_answer": "623201160", "answer_type": "integer", "kind": "expression", "math_text": "-31861 * (45731 - 65291)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31861, \"b\": 45731, \"c\": 65291}", "seed": "1692084871810351888", "semantic_fingerprint": "sha256:106329cf01e36a447432c633866fb42c5eec9baed65187945a711ca3ad550df9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000309", "prompt": "Solve for x: 23(x + 9259) = 34(x - 9564) - 38364", "solution_steps": ["Expand: 23x + 212957 = 34(x - 9564) - 38364", "Expand: 23x + 212957 = 34x - 325176 - 38364", "Combine constants: 23x + 212957 = 34x - 363540", "Subtract 34x from both sides: -11x + 212957 = -363540", "Subtract 212957 from both sides: -11x = -576497", "Divide both sides by -11: x = 576497/11"], "final_answer": "576497/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 9259) = 34(x - 9564) - 38364", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 9259, \"c\": 34, \"d\": 9564, \"e\": 38364}", "seed": "14891972985153399456", "semantic_fingerprint": "sha256:88e829ab1b07214617db766f8ee58cbd2195b473d76ba422e0262fa3f4147f1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000310", "prompt": "Calculate: (58362 + 6874) * (45477 - (-31935))", "solution_steps": ["Add: 58362 + 6874 = 65236", "Subtract: 45477 - (-31935) = 77412", "Multiply: 65236 * 77412 = 5050049232"], "final_answer": "5050049232", "answer_type": "integer", "kind": "expression", "math_text": "(58362 + 6874) * (45477 - (-31935))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 58362, \"b\": 6874, \"c\": 45477, \"d\": -31935}", "seed": "8818137214627935340", "semantic_fingerprint": "sha256:f8c02b869306b4f25a2536924703c79acfe845cf7974555fdfaf5810fc60fe77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000311", "prompt": "What value of x satisfies 35(x + 2121) = 22(x - 4242)?", "solution_steps": ["Expand: 35x + 74235 = 22(x - 4242)", "Expand: 35x + 74235 = 22x - 93324", "Subtract 22x from both sides: 13x + 74235 = -93324", "Subtract 74235 from both sides: 13x = -167559", "Divide both sides by 13: x = -167559/13"], "final_answer": "-167559/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 2121) = 22(x - 4242)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 2121, \"c\": 22, \"d\": 4242}", "seed": "15129837339664215866", "semantic_fingerprint": "sha256:e19bd4146e5acc920a0dde4bf203f9c7f40b783b612d67ea8261d6e895176bba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000312", "prompt": "Solve for x: x - 5496 = 29x - 8405", "solution_steps": ["Subtract 29x from both sides: -28x - 5496 = -8405", "Add 5496 to both sides: -28x = -2909", "Divide both sides by -28: x = 2909/28"], "final_answer": "2909/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5496 = 29x - 8405", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5496, \"b\": 29, \"c\": 8405}", "seed": "18128931827856071955", "semantic_fingerprint": "sha256:d93193b1a73288c0fa80e25b64413267f3285b7959f6a1eb013ce90017f55e26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000313", "prompt": "Solve for x: x = 33(x + 1672)", "solution_steps": ["Expand: x = 33x + 55176", "Subtract 33x from both sides: -32x = 55176", "Divide both sides by -32: x = -6897/4"], "final_answer": "-6897/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 33(x + 1672)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 1672}", "seed": "1608624968884790055", "semantic_fingerprint": "sha256:3b2af0531c2c36ca8ad9a0eca7fb4f20805f7197ff0d77601bfa0c9e7666e5b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000314", "prompt": "What is -3866 / 7573 - (-7265)?", "solution_steps": ["Divide: -3866 / 7573 = -3866/7573", "Subtract: -3866/7573 - (-7265) = 55013979/7573"], "final_answer": "55013979/7573", "answer_type": "rational", "kind": "expression", "math_text": "-3866 / 7573 - (-7265)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3866, \"b\": 7573, \"c\": -7265}", "seed": "2299721113882534765", "semantic_fingerprint": "sha256:4ffe1c05214a9f7cc2c2448b474ca0478d8e287df497507ce394539d29df8dcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000315", "prompt": "Solve for x: 34(x - 4153) + 38912 = 22(x - 6346) + 38150", "solution_steps": ["Expand: 34x - 141202 + 38912 = 22(x - 6346) + 38150", "Expand: 34x - 141202 + 38912 = 22x - 139612 + 38150", "Combine constants: 34x - 102290 = 22x - 139612 + 38150", "Combine constants: 34x - 102290 = 22x - 101462", "Subtract 22x from both sides: 12x - 102290 = -101462", "Add 102290 to both sides: 12x = 828", "Divide both sides by 12: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x - 4153) + 38912 = 22(x - 6346) + 38150", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 4153, \"c\": 38912, \"d\": 22, \"e\": 6346, \"g\": 38150, \"x\": 69}", "seed": "247146635945345409", "semantic_fingerprint": "sha256:c2efe9eaca1e8d2d12e99db710513ccd9d13fabae46ba691a100c94a068a812c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000316", "prompt": "Calculate: 5982 * 6547 + (-95284)", "solution_steps": ["Multiply: 5982 * 6547 = 39164154", "Add: 39164154 + (-95284) = 39068870"], "final_answer": "39068870", "answer_type": "integer", "kind": "expression", "math_text": "5982 * 6547 + (-95284)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5982, \"b\": 6547, \"c\": -95284}", "seed": "14920349117078022347", "semantic_fingerprint": "sha256:1af0865b49e98e66f4d9317e63c8e9472bf704e8b44de0423f6f9c635439f3b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000317", "prompt": "Find x: x + 4018 = 36x", "solution_steps": ["Subtract 36x from both sides: -35x + 4018 = 0", "Subtract 4018 from both sides: -35x = -4018", "Divide both sides by -35: x = 574/5"], "final_answer": "574/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4018 = 36x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4018, \"b\": 36}", "seed": "10295071232217876984", "semantic_fingerprint": "sha256:ab1d38047239bf1ecb571ce80b3137736097286c4438a784743cbdff707582a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000318", "prompt": "Compute: 2770 / 42177", "solution_steps": ["Divide: 2770 / 42177 = 2770/42177"], "final_answer": "2770/42177", "answer_type": "rational", "kind": "expression", "math_text": "2770 / 42177", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2770, \"b\": 42177}", "seed": "10860393086787909377", "semantic_fingerprint": "sha256:39a25b14e2d50f0ccf1d2d77fe0432e0ef0b0c77fc511664754f4da287159d22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000319", "prompt": "Find x: -17x + 6305 = x + 36310", "solution_steps": ["Subtract x from both sides: -18x + 6305 = 36310", "Subtract 6305 from both sides: -18x = 30005", "Divide both sides by -18: x = -30005/18"], "final_answer": "-30005/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x + 6305 = x + 36310", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 6305, \"c\": 36310}", "seed": "18120040689262780075", "semantic_fingerprint": "sha256:521abf1bea88f5e555f936d9b139c52021422531e6fa1424957d8bcfbf83ed11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000320", "prompt": "Compute: 77800 - (-49742) / 6426", "solution_steps": ["Divide: -49742 / 6426 = -209/27", "Subtract: 77800 - (-209/27) = 2100809/27"], "final_answer": "2100809/27", "answer_type": "rational", "kind": "expression", "math_text": "77800 - (-49742) / 6426", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77800, \"b\": -49742, \"c\": 6426}", "seed": "16024643372617414966", "semantic_fingerprint": "sha256:7d4fe7f7cf7d21d6581d6f5109491ce35644ee8c18c9cfae0db4c96315d4fe7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000321", "prompt": "Solve for x: -38(x + 4434) + 6743 = x", "solution_steps": ["Expand: -38x - 168492 + 6743 = x", "Combine constants: -38x - 161749 = x", "Subtract x from both sides: -39x - 161749 = 0", "Add 161749 to both sides: -39x = 161749", "Divide both sides by -39: x = -161749/39"], "final_answer": "-161749/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 4434) + 6743 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 4434, \"c\": 6743}", "seed": "7213761867072685210", "semantic_fingerprint": "sha256:e750e8875d98c3b4d037bf6d202d9a04b4d2f8fd34fb939a2dcf362b39b94a4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000322", "prompt": "Solve the equation 37x = 18(x - 6171) + 12660 for x.", "solution_steps": ["Expand: 37x = 18x - 111078 + 12660", "Combine constants: 37x = 18x - 98418", "Subtract 18x from both sides: 19x = -98418", "Divide both sides by 19: x = -98418/19"], "final_answer": "-98418/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x = 18(x - 6171) + 12660", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 18, \"c\": 6171, \"d\": 12660}", "seed": "11989124904749589929", "semantic_fingerprint": "sha256:0f6da06693b8d6a35ed74c0b08bda4b07a6f67af0d4fa6bfbe9efa357d8b0530", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000323", "prompt": "Calculate: 3640 - 4424 / 9653 * (-1550 + 83316)", "solution_steps": ["Divide: 4424 / 9653 = 632/1379", "Add: -1550 + 83316 = 81766", "Multiply: (632/1379) * 81766 = 51676112/1379", "Subtract: 3640 - 51676112/1379 = -46656552/1379"], "final_answer": "-46656552/1379", "answer_type": "rational", "kind": "expression", "math_text": "3640 - 4424 / 9653 * (-1550 + 83316)", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3640, \"b\": 4424, \"c\": 9653, \"d\": -1550, \"e\": 83316}", "seed": "8843309875179747280", "semantic_fingerprint": "sha256:7206c62fdccbc07e268f75129d4777dd259559714dfb81232961f4c3108f3470", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000324", "prompt": "Evaluate: -5563 + (-24795 - (-4050))", "solution_steps": ["Subtract: -24795 - (-4050) = -20745", "Add: -5563 + (-20745) = -26308"], "final_answer": "-26308", "answer_type": "integer", "kind": "expression", "math_text": "-5563 + (-24795 - (-4050))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5563, \"b\": -24795, \"c\": -4050}", "seed": "2571185490976623467", "semantic_fingerprint": "sha256:32a18e73f33c3a88459c9401689ae1e0a99e62df97848b5a22246fdd3fc72d4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000325", "prompt": "What is -6075 * 3576 / 24664?", "solution_steps": ["Multiply: -6075 * 3576 = -21724200", "Divide: -21724200 / 24664 = -2715525/3083"], "final_answer": "-2715525/3083", "answer_type": "rational", "kind": "expression", "math_text": "-6075 * 3576 / 24664", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6075, \"b\": 3576, \"c\": 24664}", "seed": "849139895149766856", "semantic_fingerprint": "sha256:d4a3c81a0f0dcba5c83275628f3b544c187ab6311cebfdf45bd5f2a36bcbfc4c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000326", "prompt": "Solve the equation -22(x - 4176) = x + 95943 for x.", "solution_steps": ["Expand: -22x + 91872 = x + 95943", "Subtract x from both sides: -23x + 91872 = 95943", "Subtract 91872 from both sides: -23x = 4071", "Divide both sides by -23: x = -177"], "final_answer": "-177", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22(x - 4176) = x + 95943", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 4176, \"d\": 95943, \"x\": -177}", "seed": "7972740401109569379", "semantic_fingerprint": "sha256:d199723e37a9adf1adca1d13bf399a9541fd0c1653e79915b8bf9aaf0ae28334", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000327", "prompt": "Calculate: -53703 - 8049 / (6657 + (-42904))", "solution_steps": ["Add: 6657 + (-42904) = -36247", "Divide: 8049 / (-36247) = -8049/36247", "Subtract: -53703 - (-8049/36247) = -1946564592/36247"], "final_answer": "-1946564592/36247", "answer_type": "rational", "kind": "expression", "math_text": "-53703 - 8049 / (6657 + (-42904))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -53703, \"b\": 8049, \"c\": 6657, \"d\": -42904}", "seed": "8271967051447517537", "semantic_fingerprint": "sha256:849f2cab40141ed6a2c7774748992d70dfe9b64aa90285744bf1f508789a371a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000328", "prompt": "Solve for x: -28(x + 4296) = 18(x - 6048)", "solution_steps": ["Expand: -28x - 120288 = 18(x - 6048)", "Expand: -28x - 120288 = 18x - 108864", "Subtract 18x from both sides: -46x - 120288 = -108864", "Add 120288 to both sides: -46x = 11424", "Divide both sides by -46: x = -5712/23"], "final_answer": "-5712/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-28(x + 4296) = 18(x - 6048)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 4296, \"c\": 18, \"d\": 6048}", "seed": "11477624693666051577", "semantic_fingerprint": "sha256:e11b1d42706098131a3589b4ec4d5e2ace38eb9114b1be4de1045a5a7614198b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000329", "prompt": "Compute: -9372 / 80307", "solution_steps": ["Divide: -9372 / 80307 = -3124/26769"], "final_answer": "-3124/26769", "answer_type": "rational", "kind": "expression", "math_text": "-9372 / 80307", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9372, \"b\": 80307}", "seed": "5464351057652842070", "semantic_fingerprint": "sha256:3bc23a378fe637f21e4342364f237fe1cce9b75270b6c8ddbaab822b7e062551", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000330", "prompt": "Evaluate: 3392 - 6724 - (-8874) * 1669", "solution_steps": ["Subtract: 3392 - 6724 = -3332", "Multiply: -8874 * 1669 = -14810706", "Subtract: -3332 - (-14810706) = 14807374"], "final_answer": "14807374", "answer_type": "integer", "kind": "expression", "math_text": "3392 - 6724 - (-8874) * 1669", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3392, \"b\": 6724, \"c\": -8874, \"d\": 1669}", "seed": "17476988186528378567", "semantic_fingerprint": "sha256:99533cd7f21ae1ff6512f64c864c18b8c38b9bf63453fe0f25bad4c646cea0af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000331", "prompt": "Calculate: -78596 * 8844", "solution_steps": ["Multiply: -78596 * 8844 = -695103024"], "final_answer": "-695103024", "answer_type": "integer", "kind": "expression", "math_text": "-78596 * 8844", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -78596, \"b\": 8844}", "seed": "1407832921699824823", "semantic_fingerprint": "sha256:e253164ebb825b960d121792e46f9481a49b5d766e5d3cb3ab8be1785f8705fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000332", "prompt": "Compute: 2156 / 3841", "solution_steps": ["Divide: 2156 / 3841 = 2156/3841"], "final_answer": "2156/3841", "answer_type": "rational", "kind": "expression", "math_text": "2156 / 3841", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2156, \"b\": 3841}", "seed": "2321700622992010234", "semantic_fingerprint": "sha256:355254d78afd5893c7eb6fb40142c42f93c89d75a587f48a3a4c5533eb391839", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000333", "prompt": "Compute: -58335 * (-1097) - (-59256)", "solution_steps": ["Multiply: -58335 * (-1097) = 63993495", "Subtract: 63993495 - (-59256) = 64052751"], "final_answer": "64052751", "answer_type": "integer", "kind": "expression", "math_text": "-58335 * (-1097) - (-59256)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -58335, \"b\": -1097, \"c\": -59256}", "seed": "10475715268320713053", "semantic_fingerprint": "sha256:87e1e4e934d930084c508201f58b75eb8e3be7163a9f22c84f5278801edf1b92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000334", "prompt": "Calculate: 53490 - (1702 + (8660 + 57175 * (-8106 - 3303)))", "solution_steps": ["Subtract: -8106 - 3303 = -11409", "Multiply: 57175 * (-11409) = -652309575", "Add: 8660 + (-652309575) = -652300915", "Add: 1702 + (-652300915) = -652299213", "Subtract: 53490 - (-652299213) = 652352703"], "final_answer": "652352703", "answer_type": "integer", "kind": "expression", "math_text": "53490 - (1702 + (8660 + 57175 * (-8106 - 3303)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (+ n (* n (- n n)))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 53490, \"b\": 1702, \"c\": 8660, \"d\": 57175, \"e\": -8106, \"f\": 3303}", "seed": "12428202053344680517", "semantic_fingerprint": "sha256:bcbbf8114e9573ffa96ca01e446ec68017041bb4f9abd034f64d97f2e978048c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000335", "prompt": "Solve for x: x = -33x - 4896", "solution_steps": ["Add 33x to both sides: 34x = -4896", "Divide both sides by 34: x = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -33x - 4896", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33, \"c\": -4896, \"x\": -144}", "seed": "3110872059531942082", "semantic_fingerprint": "sha256:21b2f25c378106168708073941dc2ab9421c91d78aa763a385168c185b270069", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000336", "prompt": "What value of x satisfies -31(x - 94510) = 34(x + 86737)?", "solution_steps": ["Expand: -31x + 2929810 = 34(x + 86737)", "Expand: -31x + 2929810 = 34x + 2949058", "Subtract 34x from both sides: -65x + 2929810 = 2949058", "Subtract 2929810 from both sides: -65x = 19248", "Divide both sides by -65: x = -19248/65"], "final_answer": "-19248/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 94510) = 34(x + 86737)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 94510, \"c\": 34, \"d\": 86737}", "seed": "10754220809232023557", "semantic_fingerprint": "sha256:53588e2e11dc1a5d3ef703a178ef98a91fedf948dc8860dd579d3e01436bcfb8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000337", "prompt": "Calculate: -20137 * (-7877 + (-2573))", "solution_steps": ["Add: -7877 + (-2573) = -10450", "Multiply: -20137 * (-10450) = 210431650"], "final_answer": "210431650", "answer_type": "integer", "kind": "expression", "math_text": "-20137 * (-7877 + (-2573))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20137, \"b\": -7877, \"c\": -2573}", "seed": "15539557167724160427", "semantic_fingerprint": "sha256:9ac355524d1fcf30e01029917550c96e36c11e85650b4ffc4583a560fb76a9b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000338", "prompt": "What value of x satisfies -30x + 9744 = 29x + 10983?", "solution_steps": ["Subtract 29x from both sides: -59x + 9744 = 10983", "Subtract 9744 from both sides: -59x = 1239", "Divide both sides by -59: x = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x + 9744 = 29x + 10983", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 9744, \"c\": 29, \"e\": 10983, \"x\": -21}", "seed": "14567557959871784032", "semantic_fingerprint": "sha256:cf2f40ccde19136008fe56b1b83cb7013073090a34cf3e2079e56ba706ece0e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000339", "prompt": "Calculate: 6218 / 6169 * (-1001 + (-99645))", "solution_steps": ["Divide: 6218 / 6169 = 6218/6169", "Add: -1001 + (-99645) = -100646", "Multiply: (6218/6169) * (-100646) = -625816828/6169"], "final_answer": "-625816828/6169", "answer_type": "rational", "kind": "expression", "math_text": "6218 / 6169 * (-1001 + (-99645))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6218, \"b\": 6169, \"c\": -1001, \"d\": -99645}", "seed": "8205586912655858903", "semantic_fingerprint": "sha256:57451b05cf5ea6e68fdb2d9c4364e5434f226484de3f39e6d3244f66d4dad198", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000340", "prompt": "What value of x satisfies -19x + 8898 = 12489?", "solution_steps": ["Subtract 8898 from both sides: -19x = 3591", "Divide both sides by -19: x = -189"], "final_answer": "-189", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x + 8898 = 12489", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 8898, \"d\": 12489, \"x\": -189}", "seed": "1140229176460952364", "semantic_fingerprint": "sha256:ef7919efdf5015beb011b9d324ac3fb9a3681507209d65f3f2247e859d1d9b71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000341", "prompt": "Calculate: 72159 - (-74447) * (-8722 - 97216)", "solution_steps": ["Subtract: -8722 - 97216 = -105938", "Multiply: -74447 * (-105938) = 7886766286", "Subtract: 72159 - 7886766286 = -7886694127"], "final_answer": "-7886694127", "answer_type": "integer", "kind": "expression", "math_text": "72159 - (-74447) * (-8722 - 97216)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72159, \"b\": -74447, \"c\": -8722, \"d\": 97216}", "seed": "17488963007755441107", "semantic_fingerprint": "sha256:235a226785092b9892f6166db0e1f66e5f69802fa3f984f0a1b17602fc2202cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000342", "prompt": "Compute: -2035 * 3920", "solution_steps": ["Multiply: -2035 * 3920 = -7977200"], "final_answer": "-7977200", "answer_type": "integer", "kind": "expression", "math_text": "-2035 * 3920", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2035, \"b\": 3920}", "seed": "6792657798846410426", "semantic_fingerprint": "sha256:73321c9e8deffeab816da3aea63dc811ed563b7d4b2ecf38507e0c35e75aaaef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000343", "prompt": "What value of x satisfies x - 6369 = 33x - 5633?", "solution_steps": ["Subtract 33x from both sides: -32x - 6369 = -5633", "Add 6369 to both sides: -32x = 736", "Divide both sides by -32: x = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6369 = 33x - 5633", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6369, \"b\": 33, \"d\": -5633, \"x\": -23}", "seed": "17902209430100308063", "semantic_fingerprint": "sha256:c68a7c46728b04c2d51d7a79547fea80de4f00bfb71e048e990de938cf208bcd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000344", "prompt": "What value of x satisfies 25(x - 1640) - 3114 = 31x - 45134?", "solution_steps": ["Expand: 25x - 41000 - 3114 = 31x - 45134", "Combine constants: 25x - 44114 = 31x - 45134", "Subtract 31x from both sides: -6x - 44114 = -45134", "Add 44114 to both sides: -6x = -1020", "Divide both sides by -6: x = 170"], "final_answer": "170", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 1640) - 3114 = 31x - 45134", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1640, \"c\": 3114, \"d\": 31, \"f\": -45134, \"x\": 170}", "seed": "14800983538884184993", "semantic_fingerprint": "sha256:311921f0174509d81f66d7290f94f0d69a70fe14eea3502fbe005405b239e627", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000345", "prompt": "Calculate: -26604 + (-24637)", "solution_steps": ["Add: -26604 + (-24637) = -51241"], "final_answer": "-51241", "answer_type": "integer", "kind": "expression", "math_text": "-26604 + (-24637)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -26604, \"b\": -24637}", "seed": "5313262396891943208", "semantic_fingerprint": "sha256:1c6f3324a2238a65797502ff144acfe4c1047bb47545d5159f9240addca28366", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000346", "prompt": "Compute: -9803 - (-66143)", "solution_steps": ["Subtract: -9803 - (-66143) = 56340"], "final_answer": "56340", "answer_type": "integer", "kind": "expression", "math_text": "-9803 - (-66143)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9803, \"b\": -66143}", "seed": "6167399757968962950", "semantic_fingerprint": "sha256:3c21fb0b403205b455f4c11e1f99363ac398b612b189229e1989eedb28749689", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000347", "prompt": "Calculate: 72651 * (58362 / (-3265))", "solution_steps": ["Divide: 58362 / (-3265) = -58362/3265", "Multiply: 72651 * (-58362/3265) = -4240057662/3265"], "final_answer": "-4240057662/3265", "answer_type": "rational", "kind": "expression", "math_text": "72651 * (58362 / (-3265))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72651, \"b\": 58362, \"c\": -3265}", "seed": "13286637894199706959", "semantic_fingerprint": "sha256:864be3546350e36b91bffdde67ac8d59ef8878ec47c5816fa613e5fcaf6e8f06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000348", "prompt": "Solve for x: x - 7264 = -34x - 11499", "solution_steps": ["Add 34x to both sides: 35x - 7264 = -11499", "Add 7264 to both sides: 35x = -4235", "Divide both sides by 35: x = -121"], "final_answer": "-121", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7264 = -34x - 11499", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7264, \"b\": -34, \"d\": -11499, \"x\": -121}", "seed": "2802413843457314885", "semantic_fingerprint": "sha256:5c5cf8ce615f89ab48b8de893939a83666d7debbc04419b7cd322d49b2750e27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000349", "prompt": "What is 68115 - (-7546)?", "solution_steps": ["Subtract: 68115 - (-7546) = 75661"], "final_answer": "75661", "answer_type": "integer", "kind": "expression", "math_text": "68115 - (-7546)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 68115, \"b\": -7546}", "seed": "2218136863278253240", "semantic_fingerprint": "sha256:d0e9f7a679ebadc25bdacefdf17440895eb193d0670c769be18cd9793bc11acb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000350", "prompt": "Solve for x: 19x = x + 1206", "solution_steps": ["Subtract x from both sides: 18x = 1206", "Divide both sides by 18: x = 67"], "final_answer": "67", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = x + 1206", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 1206, \"x\": 67}", "seed": "13481651078239987674", "semantic_fingerprint": "sha256:d42da26ea1db1084ea2e671f4a5f9e1a8e16f6027498b00e30cd1560b05b623a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000351", "prompt": "Calculate: -20537 / 56193", "solution_steps": ["Divide: -20537 / 56193 = -20537/56193"], "final_answer": "-20537/56193", "answer_type": "rational", "kind": "expression", "math_text": "-20537 / 56193", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20537, \"b\": 56193}", "seed": "15252882616703850409", "semantic_fingerprint": "sha256:e9146da6704f9195357ed75fbde0b05e7eca5e88e4f8be0fc03da12792f0292a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000352", "prompt": "Calculate: -30774 - 6145", "solution_steps": ["Subtract: -30774 - 6145 = -36919"], "final_answer": "-36919", "answer_type": "integer", "kind": "expression", "math_text": "-30774 - 6145", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -30774, \"b\": 6145}", "seed": "14105329699102019863", "semantic_fingerprint": "sha256:7d09cddc242f7d16afd9e413d97cc1ae6bbcb05f74742453b0184a6f6e07c30f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000353", "prompt": "Solve for x: 38x + 48940 = 36(x + 76074)", "solution_steps": ["Expand: 38x + 48940 = 36x + 2738664", "Subtract 36x from both sides: 2x + 48940 = 2738664", "Subtract 48940 from both sides: 2x = 2689724", "Divide both sides by 2: x = 1344862"], "final_answer": "1344862", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 48940 = 36(x + 76074)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 48940, \"c\": 36, \"d\": 76074}", "seed": "14476827987915499386", "semantic_fingerprint": "sha256:b5502af80d39c235d4a33667c9267a46ee6582ef50e8a60f068cd0e3ae3cf875", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000354", "prompt": "What value of x satisfies x - 61002 = 36x - 54702?", "solution_steps": ["Subtract 36x from both sides: -35x - 61002 = -54702", "Add 61002 to both sides: -35x = 6300", "Divide both sides by -35: x = -180"], "final_answer": "-180", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 61002 = 36x - 54702", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61002, \"b\": 36, \"d\": -54702, \"x\": -180}", "seed": "12048858411094926256", "semantic_fingerprint": "sha256:93a5ea53018cf4032086e9fc7f481ee4b41ce107dc1bfafcae98b4e40b018190", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000355", "prompt": "Calculate: -90894 / (-3079 + (-7073)) + (-79077)", "solution_steps": ["Add: -3079 + (-7073) = -10152", "Divide: -90894 / (-10152) = 15149/1692", "Add: 15149/1692 + (-79077) = -133783135/1692"], "final_answer": "-133783135/1692", "answer_type": "rational", "kind": "expression", "math_text": "-90894 / (-3079 + (-7073)) + (-79077)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -90894, \"b\": -3079, \"c\": -7073, \"d\": -79077}", "seed": "8672677482162201725", "semantic_fingerprint": "sha256:031973de064b7b9ca72d7c63a1b0817936f031cabcaf27e2cdd9503c28a8c3be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000356", "prompt": "Compute: 9640 / (-95026) * (9121 * (-14414))", "solution_steps": ["Divide: 9640 / (-95026) = -4820/47513", "Multiply: 9121 * (-14414) = -131470094", "Multiply: (-4820/47513) * (-131470094) = 633685853080/47513"], "final_answer": "633685853080/47513", "answer_type": "rational", "kind": "expression", "math_text": "9640 / (-95026) * (9121 * (-14414))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9640, \"b\": -95026, \"c\": 9121, \"d\": -14414}", "seed": "2357457087565378558", "semantic_fingerprint": "sha256:35002d102fdb490fa2155d86f150806731851c7f1e6590f5d282d5d7cc7761e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000357", "prompt": "Solve for x: 31(x + 39696) = x + 8203", "solution_steps": ["Expand: 31x + 1230576 = x + 8203", "Subtract x from both sides: 30x + 1230576 = 8203", "Subtract 1230576 from both sides: 30x = -1222373", "Divide both sides by 30: x = -1222373/30"], "final_answer": "-1222373/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 39696) = x + 8203", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 39696, \"c\": 8203}", "seed": "13257300876001695215", "semantic_fingerprint": "sha256:0c3d9228f19073d96d7eb4c72d4746f57e250e06ab748ed7b76c7e67eb5aa2d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000358", "prompt": "Find x: x = 37(x + 4194) - 5102", "solution_steps": ["Expand: x = 37x + 155178 - 5102", "Combine constants: x = 37x + 150076", "Subtract 37x from both sides: -36x = 150076", "Divide both sides by -36: x = -37519/9"], "final_answer": "-37519/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x + 4194) - 5102", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 4194, \"c\": 5102}", "seed": "12291727238203194568", "semantic_fingerprint": "sha256:ae2d646bcb23abf9af38290acb2cdef5a1e11dc50fc26b14a124ea1c4fdf2184", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000359", "prompt": "Calculate: (-3387 - 9282) / 5732", "solution_steps": ["Subtract: -3387 - 9282 = -12669", "Divide: -12669 / 5732 = -12669/5732"], "final_answer": "-12669/5732", "answer_type": "rational", "kind": "expression", "math_text": "(-3387 - 9282) / 5732", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3387, \"b\": 9282, \"c\": 5732}", "seed": "12305093728179614967", "semantic_fingerprint": "sha256:bc7a7530dc6e833f290064c951a3df0a1e2bf303868f4f943a43e8b5a1f119de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000360", "prompt": "Evaluate: 9882 - 26873 * (-75646)", "solution_steps": ["Multiply: 26873 * (-75646) = -2032834958", "Subtract: 9882 - (-2032834958) = 2032844840"], "final_answer": "2032844840", "answer_type": "integer", "kind": "expression", "math_text": "9882 - 26873 * (-75646)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9882, \"b\": 26873, \"c\": -75646}", "seed": "594119371311002059", "semantic_fingerprint": "sha256:8507986f7270c326a10dd4647807f5da6cb7b5c64e44258c5cd242541418ac54", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000361", "prompt": "What is (6990 - 56889) * (-45215)?", "solution_steps": ["Subtract: 6990 - 56889 = -49899", "Multiply: -49899 * (-45215) = 2256183285"], "final_answer": "2256183285", "answer_type": "integer", "kind": "expression", "math_text": "(6990 - 56889) * (-45215)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6990, \"b\": 56889, \"c\": -45215}", "seed": "8064550861146291472", "semantic_fingerprint": "sha256:620a0ea77532eec80cdf6fea5f80950546331f4b813b1652e55796d27b961497", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000362", "prompt": "Evaluate: 96406 - (9509 + (-48191)) - 6141", "solution_steps": ["Add: 9509 + (-48191) = -38682", "Subtract: 96406 - (-38682) = 135088", "Subtract: 135088 - 6141 = 128947"], "final_answer": "128947", "answer_type": "integer", "kind": "expression", "math_text": "96406 - (9509 + (-48191)) - 6141", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96406, \"b\": 9509, \"c\": -48191, \"d\": 6141}", "seed": "5467416682605288623", "semantic_fingerprint": "sha256:0cf85628bf6f7112ca3471db2835b2de358b8d56a5becb499c625bb100a353a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000363", "prompt": "Compute: (-2915 + 7754) / (-4951)", "solution_steps": ["Add: -2915 + 7754 = 4839", "Divide: 4839 / (-4951) = -4839/4951"], "final_answer": "-4839/4951", "answer_type": "rational", "kind": "expression", "math_text": "(-2915 + 7754) / (-4951)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2915, \"b\": 7754, \"c\": -4951}", "seed": "11019042687247388593", "semantic_fingerprint": "sha256:870fd9ce91936a98e167fd64691b3355f7ffe5d575fc1614b34a10b80cd453d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000364", "prompt": "Calculate: (52750 + 3435) / (-65639 - 48897)", "solution_steps": ["Add: 52750 + 3435 = 56185", "Subtract: -65639 - 48897 = -114536", "Divide: 56185 / (-114536) = -56185/114536"], "final_answer": "-56185/114536", "answer_type": "rational", "kind": "expression", "math_text": "(52750 + 3435) / (-65639 - 48897)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 52750, \"b\": 3435, \"c\": -65639, \"d\": 48897}", "seed": "9372263495765709924", "semantic_fingerprint": "sha256:eae511b4b92db251382cb1ad7a1f0fc7e848c0edcb7e63c1af5f6e3ad35ae3c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000365", "prompt": "What is -4060 * 39678 + (-4429)?", "solution_steps": ["Multiply: -4060 * 39678 = -161092680", "Add: -161092680 + (-4429) = -161097109"], "final_answer": "-161097109", "answer_type": "integer", "kind": "expression", "math_text": "-4060 * 39678 + (-4429)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4060, \"b\": 39678, \"c\": -4429}", "seed": "5900989466950490816", "semantic_fingerprint": "sha256:cd6966bbdee3ab8524bfcc758d64d8fe9f1c66d636d1b7af841a6c424c1380c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000366", "prompt": "Evaluate: (-79037 + 5119 * 9958) / (31730 - (-13722))", "solution_steps": ["Multiply: 5119 * 9958 = 50975002", "Add: -79037 + 50975002 = 50895965", "Subtract: 31730 - (-13722) = 45452", "Divide: 50895965 / 45452 = 50895965/45452"], "final_answer": "50895965/45452", "answer_type": "rational", "kind": "expression", "math_text": "(-79037 + 5119 * 9958) / (31730 - (-13722))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -79037, \"b\": 5119, \"c\": 9958, \"d\": 31730, \"e\": -13722}", "seed": "12273804320076207084", "semantic_fingerprint": "sha256:d87589d5db88c050ddf451409f93fbebc043487e7a6a002bad6f9e1e2b5b0a0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000367", "prompt": "Calculate: -6598 * (-92110 - (-8331)) + 2957", "solution_steps": ["Subtract: -92110 - (-8331) = -83779", "Multiply: -6598 * (-83779) = 552773842", "Add: 552773842 + 2957 = 552776799"], "final_answer": "552776799", "answer_type": "integer", "kind": "expression", "math_text": "-6598 * (-92110 - (-8331)) + 2957", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6598, \"b\": -92110, \"c\": -8331, \"d\": 2957}", "seed": "11561620812966903581", "semantic_fingerprint": "sha256:15acb489bfc0c2e1c409bef410e5305d9dd5d6436c93f7419ee67144a250e95d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000368", "prompt": "Calculate: (-3117 + 11686) / 3376", "solution_steps": ["Add: -3117 + 11686 = 8569", "Divide: 8569 / 3376 = 8569/3376"], "final_answer": "8569/3376", "answer_type": "rational", "kind": "expression", "math_text": "(-3117 + 11686) / 3376", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3117, \"b\": 11686, \"c\": 3376}", "seed": "4095876866034501081", "semantic_fingerprint": "sha256:06f106c5e713b1d1f4bcbec0baaa8f10bf8b85f2e63772e9292cd58711d82c80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000369", "prompt": "What is 2304 * (-3920) * (22442 + 9602)?", "solution_steps": ["Multiply: 2304 * (-3920) = -9031680", "Add: 22442 + 9602 = 32044", "Multiply: -9031680 * 32044 = -289411153920"], "final_answer": "-289411153920", "answer_type": "integer", "kind": "expression", "math_text": "2304 * (-3920) * (22442 + 9602)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2304, \"b\": -3920, \"c\": 22442, \"d\": 9602}", "seed": "2954843453701086764", "semantic_fingerprint": "sha256:2c3e58f9d3b2ea930457390ceebd71fa19e3fb23262a3754b7f763790c4a3ebf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000370", "prompt": "Compute: 4105 * (28878 + (-1859)) - 6780 / (-6279)", "solution_steps": ["Add: 28878 + (-1859) = 27019", "Multiply: 4105 * 27019 = 110912995", "Divide: 6780 / (-6279) = -2260/2093", "Subtract: 110912995 - (-2260/2093) = 232140900795/2093"], "final_answer": "232140900795/2093", "answer_type": "rational", "kind": "expression", "math_text": "4105 * (28878 + (-1859)) - 6780 / (-6279)", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4105, \"b\": 28878, \"c\": -1859, \"d\": 6780, \"e\": -6279}", "seed": "14853334317234391301", "semantic_fingerprint": "sha256:bde27d8e5535395785a14d2465149046b04ce1f7c8f4d39f4afb111826207866", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000371", "prompt": "What is -8840 - 9757 * (-76969 + 3918)?", "solution_steps": ["Add: -76969 + 3918 = -73051", "Multiply: 9757 * (-73051) = -712758607", "Subtract: -8840 - (-712758607) = 712749767"], "final_answer": "712749767", "answer_type": "integer", "kind": "expression", "math_text": "-8840 - 9757 * (-76969 + 3918)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8840, \"b\": 9757, \"c\": -76969, \"d\": 3918}", "seed": "9432874769501757900", "semantic_fingerprint": "sha256:a481af1566517d388793c4573dd7b6cceecd89a49dca3a46e1eddd7d4215ba4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000372", "prompt": "What value of x satisfies -19(x - 2426) = -22(x - 15432) + 4945?", "solution_steps": ["Expand: -19x + 46094 = -22(x - 15432) + 4945", "Expand: -19x + 46094 = -22x + 339504 + 4945", "Combine constants: -19x + 46094 = -22x + 344449", "Add 22x to both sides: 3x + 46094 = 344449", "Subtract 46094 from both sides: 3x = 298355", "Divide both sides by 3: x = 298355/3"], "final_answer": "298355/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 2426) = -22(x - 15432) + 4945", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 2426, \"c\": -22, \"d\": 15432, \"e\": 4945}", "seed": "3027080901252757880", "semantic_fingerprint": "sha256:5b497f998458298519660e00a28dd0f73b0b3be398fc92eaba42a530c2b8bca6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000373", "prompt": "Evaluate: -16343 + (-3009) * (1805 * (-64229) - (-2875))", "solution_steps": ["Multiply: 1805 * (-64229) = -115933345", "Subtract: -115933345 - (-2875) = -115930470", "Multiply: -3009 * (-115930470) = 348834784230", "Add: -16343 + 348834784230 = 348834767887"], "final_answer": "348834767887", "answer_type": "integer", "kind": "expression", "math_text": "-16343 + (-3009) * (1805 * (-64229) - (-2875))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16343, \"b\": -3009, \"c\": 1805, \"d\": -64229, \"e\": -2875}", "seed": "433118489287113802", "semantic_fingerprint": "sha256:368c4bc9179f3684b04e23ba1f2bdb661b0a3ab26d0541b88d88cb62e560a319", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000374", "prompt": "What is -51932 + 4328?", "solution_steps": ["Add: -51932 + 4328 = -47604"], "final_answer": "-47604", "answer_type": "integer", "kind": "expression", "math_text": "-51932 + 4328", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -51932, \"b\": 4328}", "seed": "18439976848326644891", "semantic_fingerprint": "sha256:4fa3c3146095c743d1dabd90854d3852883fb3f0de6c3dc5b5ed3bcac48d2ef3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000375", "prompt": "Evaluate: -1714 * 5571", "solution_steps": ["Multiply: -1714 * 5571 = -9548694"], "final_answer": "-9548694", "answer_type": "integer", "kind": "expression", "math_text": "-1714 * 5571", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1714, \"b\": 5571}", "seed": "5063562433087180166", "semantic_fingerprint": "sha256:aebbdd7be26e78937099000d6c4fbc935088f4d41e216c21fe2b0847109c793e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000376", "prompt": "Evaluate: -35915 / 1850", "solution_steps": ["Divide: -35915 / 1850 = -7183/370"], "final_answer": "-7183/370", "answer_type": "rational", "kind": "expression", "math_text": "-35915 / 1850", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35915, \"b\": 1850}", "seed": "15393312269275439748", "semantic_fingerprint": "sha256:c1018ee7a4ccd38c168e166e30540b0192db38db43f867bb7ec8dd2156b7e100", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000377", "prompt": "What is -9566 * (57932 + 1286) + 4120 - (-9912)?", "solution_steps": ["Add: 57932 + 1286 = 59218", "Multiply: -9566 * 59218 = -566479388", "Add: -566479388 + 4120 = -566475268", "Subtract: -566475268 - (-9912) = -566465356"], "final_answer": "-566465356", "answer_type": "integer", "kind": "expression", "math_text": "-9566 * (57932 + 1286) + 4120 - (-9912)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9566, \"b\": 57932, \"c\": 1286, \"d\": 4120, \"e\": -9912}", "seed": "5408225146277644206", "semantic_fingerprint": "sha256:f3c7b6b5f2d5fd79d0a2d6a8ec719793eb3adbf7b9d53873995505ff2761e754", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000378", "prompt": "Solve the equation 16x + 2901 = 4245 for x.", "solution_steps": ["Subtract 2901 from both sides: 16x = 1344", "Divide both sides by 16: x = 84"], "final_answer": "84", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x + 2901 = 4245", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 2901, \"d\": 4245, \"x\": 84}", "seed": "17461164069698234426", "semantic_fingerprint": "sha256:3da52f7e9d12d1d3fd150f8ae57ecb6c368bce92949727f38f736dcb787821e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000379", "prompt": "What is 84670 / (-57071 - (-2294))?", "solution_steps": ["Subtract: -57071 - (-2294) = -54777", "Divide: 84670 / (-54777) = -84670/54777"], "final_answer": "-84670/54777", "answer_type": "rational", "kind": "expression", "math_text": "84670 / (-57071 - (-2294))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84670, \"b\": -57071, \"c\": -2294}", "seed": "16217589392602775778", "semantic_fingerprint": "sha256:b271bac99fb255b8b0ca16321519268e18daa1ded78750e3080bb332b8b75e74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000380", "prompt": "What is 82291 + (-2066) + 1186?", "solution_steps": ["Add: 82291 + (-2066) = 80225", "Add: 80225 + 1186 = 81411"], "final_answer": "81411", "answer_type": "integer", "kind": "expression", "math_text": "82291 + (-2066) + 1186", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82291, \"b\": -2066, \"c\": 1186}", "seed": "12819806723965905815", "semantic_fingerprint": "sha256:763cc38712834dad16e7d1006d847b02ed0a4d02c8059e36034b22f6f38c46fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000381", "prompt": "Solve the equation 38x + 66226 = 67366 for x.", "solution_steps": ["Subtract 66226 from both sides: 38x = 1140", "Divide both sides by 38: x = 30"], "final_answer": "30", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 66226 = 67366", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 66226, \"d\": 67366, \"x\": 30}", "seed": "7903342247295686123", "semantic_fingerprint": "sha256:5893a212ea6610ece1a1bf31996933a655265cbeddd553bc8011a81e47969f45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000382", "prompt": "Solve the equation x + 87532 = 19(x - 5033) - 2086 for x.", "solution_steps": ["Expand: x + 87532 = 19x - 95627 - 2086", "Combine constants: x + 87532 = 19x - 97713", "Subtract 19x from both sides: -18x + 87532 = -97713", "Subtract 87532 from both sides: -18x = -185245", "Divide both sides by -18: x = 185245/18"], "final_answer": "185245/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 87532 = 19(x - 5033) - 2086", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 87532, \"b\": 19, \"c\": 5033, \"d\": 2086}", "seed": "4129792508493413889", "semantic_fingerprint": "sha256:9cd69d3364f9b52d0da7fd6cbee609856647791870724a4b918a2a46a71e8224", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000383", "prompt": "Solve for x: x = 24(x - 5302)", "solution_steps": ["Expand: x = 24x - 127248", "Subtract 24x from both sides: -23x = -127248", "Divide both sides by -23: x = 127248/23"], "final_answer": "127248/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 24(x - 5302)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 5302}", "seed": "16052275226033691414", "semantic_fingerprint": "sha256:1778c4f64542ec34b12a71008a4558a5cc47874fb6221eaf338d2e5c7202105d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000384", "prompt": "Calculate: -7298 + 42284 + (-8005 - 36112) * (-93429 / 54583)", "solution_steps": ["Add: -7298 + 42284 = 34986", "Subtract: -8005 - 36112 = -44117", "Divide: -93429 / 54583 = -93429/54583", "Multiply: -44117 * (-93429/54583) = 4121807193/54583", "Add: 34986 + 4121807193/54583 = 6031448031/54583"], "final_answer": "6031448031/54583", "answer_type": "rational", "kind": "expression", "math_text": "-7298 + 42284 + (-8005 - 36112) * (-93429 / 54583)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (- n n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7298, \"b\": 42284, \"c\": -8005, \"d\": 36112, \"e\": -93429, \"f\": 54583}", "seed": "6003815443601023840", "semantic_fingerprint": "sha256:92908dddb89288bae995a6ae900558a40255e77e1bdf2f1dda22f32a15064071", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000385", "prompt": "Compute: (-8066 - 90996) / 5115", "solution_steps": ["Subtract: -8066 - 90996 = -99062", "Divide: -99062 / 5115 = -99062/5115"], "final_answer": "-99062/5115", "answer_type": "rational", "kind": "expression", "math_text": "(-8066 - 90996) / 5115", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8066, \"b\": 90996, \"c\": 5115}", "seed": "3450715223511069362", "semantic_fingerprint": "sha256:b7a5cdb2b68700ef2f4de7e486f42615a9fc2998d1568f0b06bb4eaa35be3cb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000386", "prompt": "Compute: -79328 / 9214 * (-1719)", "solution_steps": ["Divide: -79328 / 9214 = -39664/4607", "Multiply: (-39664/4607) * (-1719) = 68182416/4607"], "final_answer": "68182416/4607", "answer_type": "rational", "kind": "expression", "math_text": "-79328 / 9214 * (-1719)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79328, \"b\": 9214, \"c\": -1719}", "seed": "13995597187169404435", "semantic_fingerprint": "sha256:10172d8c93b6383150b97610270bd63d356f67a3af351b2bb4797b7b3bdcfac8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000387", "prompt": "Solve for x: x + 54603 = -36(x - 4353) - 7873", "solution_steps": ["Expand: x + 54603 = -36x + 156708 - 7873", "Combine constants: x + 54603 = -36x + 148835", "Add 36x to both sides: 37x + 54603 = 148835", "Subtract 54603 from both sides: 37x = 94232", "Divide both sides by 37: x = 94232/37"], "final_answer": "94232/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 54603 = -36(x - 4353) - 7873", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 54603, \"b\": -36, \"c\": 4353, \"d\": 7873}", "seed": "10104963023864723311", "semantic_fingerprint": "sha256:68b2c3163dc45cd16e94cc1af6ccf7ebd2d0b95ccd4616cd46fa4caf37d0c7d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000388", "prompt": "Calculate: 24992 + 5611 - (-6859)", "solution_steps": ["Add: 24992 + 5611 = 30603", "Subtract: 30603 - (-6859) = 37462"], "final_answer": "37462", "answer_type": "integer", "kind": "expression", "math_text": "24992 + 5611 - (-6859)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24992, \"b\": 5611, \"c\": -6859}", "seed": "15820534200718867782", "semantic_fingerprint": "sha256:749b36e1bee9ffc9c46232f70abed7ce4afa77de56d1b742a054ba1c42415272", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000389", "prompt": "Compute: 15805 - (-9523) - (4697 + (-21923) + 6532)", "solution_steps": ["Subtract: 15805 - (-9523) = 25328", "Add: 4697 + (-21923) = -17226", "Add: -17226 + 6532 = -10694", "Subtract: 25328 - (-10694) = 36022"], "final_answer": "36022", "answer_type": "integer", "kind": "expression", "math_text": "15805 - (-9523) - (4697 + (-21923) + 6532)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15805, \"b\": -9523, \"c\": 4697, \"d\": -21923, \"e\": 6532}", "seed": "2508899227856338131", "semantic_fingerprint": "sha256:b2b1edb0a7cd521b6e96ff1d490320f96ccbd7c76aeb39419636108d4fe3adcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000390", "prompt": "Calculate: -5786 * (-7861 * 9111 - (-6599) - 2844)", "solution_steps": ["Multiply: -7861 * 9111 = -71621571", "Subtract: -71621571 - (-6599) = -71614972", "Subtract: -71614972 - 2844 = -71617816", "Multiply: -5786 * (-71617816) = 414380683376"], "final_answer": "414380683376", "answer_type": "integer", "kind": "expression", "math_text": "-5786 * (-7861 * 9111 - (-6599) - 2844)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5786, \"b\": -7861, \"c\": 9111, \"d\": -6599, \"e\": 2844}", "seed": "9918022957434481524", "semantic_fingerprint": "sha256:b0841dd9f60a68ab63924a95d326091f281346161291aca9e2abaf7a13ecad8c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000391", "prompt": "Compute: 9801 + (6319 + (-4952)) * (-24618) - (-3322)", "solution_steps": ["Add: 6319 + (-4952) = 1367", "Multiply: 1367 * (-24618) = -33652806", "Add: 9801 + (-33652806) = -33643005", "Subtract: -33643005 - (-3322) = -33639683"], "final_answer": "-33639683", "answer_type": "integer", "kind": "expression", "math_text": "9801 + (6319 + (-4952)) * (-24618) - (-3322)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9801, \"b\": 6319, \"c\": -4952, \"d\": -24618, \"e\": -3322}", "seed": "9634216515581846081", "semantic_fingerprint": "sha256:de55390f9c25308b423feb19ab89096d21544e9f3ae659ce37d0cd07515d6923", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000392", "prompt": "Compute: -7692 / 94743", "solution_steps": ["Divide: -7692 / 94743 = -2564/31581"], "final_answer": "-2564/31581", "answer_type": "rational", "kind": "expression", "math_text": "-7692 / 94743", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7692, \"b\": 94743}", "seed": "10631582519576506517", "semantic_fingerprint": "sha256:cd5f4f036e5a8943ddb7016668984324f7e655a8953aaa7db9ed2f86ef838ba8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000393", "prompt": "Evaluate: (-7479 + 55859) * (-3753) - (-4601)", "solution_steps": ["Add: -7479 + 55859 = 48380", "Multiply: 48380 * (-3753) = -181570140", "Subtract: -181570140 - (-4601) = -181565539"], "final_answer": "-181565539", "answer_type": "integer", "kind": "expression", "math_text": "(-7479 + 55859) * (-3753) - (-4601)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7479, \"b\": 55859, \"c\": -3753, \"d\": -4601}", "seed": "15297803085727135829", "semantic_fingerprint": "sha256:cdc49e9cd15b8c6e6a67d36bb4ba53a2723e48865458f20f915ef66d361c79c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000394", "prompt": "What is 41053 / (-63026) + 56372?", "solution_steps": ["Divide: 41053 / (-63026) = -41053/63026", "Add: -41053/63026 + 56372 = 3552860619/63026"], "final_answer": "3552860619/63026", "answer_type": "rational", "kind": "expression", "math_text": "41053 / (-63026) + 56372", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41053, \"b\": -63026, \"c\": 56372}", "seed": "12647113340590399490", "semantic_fingerprint": "sha256:c533841b6baf9903436c484c948543a1ff18d57151acc897605940c22303a5e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000395", "prompt": "What value of x satisfies 26(x + 4599) + 50596 = -40x - 7467?", "solution_steps": ["Expand: 26x + 119574 + 50596 = -40x - 7467", "Combine constants: 26x + 170170 = -40x - 7467", "Add 40x to both sides: 66x + 170170 = -7467", "Subtract 170170 from both sides: 66x = -177637", "Divide both sides by 66: x = -177637/66"], "final_answer": "-177637/66", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 4599) + 50596 = -40x - 7467", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 4599, \"c\": 50596, \"d\": -40, \"e\": 7467}", "seed": "18126455185978487484", "semantic_fingerprint": "sha256:ae311e02a2f0a1d310368e549788355b41c262fbb08797b7d98aabe788c8f505", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000396", "prompt": "Compute: -1446 * 2611 + 1160", "solution_steps": ["Multiply: -1446 * 2611 = -3775506", "Add: -3775506 + 1160 = -3774346"], "final_answer": "-3774346", "answer_type": "integer", "kind": "expression", "math_text": "-1446 * 2611 + 1160", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1446, \"b\": 2611, \"c\": 1160}", "seed": "14306542841441260573", "semantic_fingerprint": "sha256:a053a7e786d1851ea9dc0643dfb05d3a78a35a89bbe26686e8ba76131136ac2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000397", "prompt": "Solve the equation -26(x - 2157) = -23(x - 3726) for x.", "solution_steps": ["Expand: -26x + 56082 = -23(x - 3726)", "Expand: -26x + 56082 = -23x + 85698", "Add 23x to both sides: -3x + 56082 = 85698", "Subtract 56082 from both sides: -3x = 29616", "Divide both sides by -3: x = -9872"], "final_answer": "-9872", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26(x - 2157) = -23(x - 3726)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 2157, \"c\": -23, \"d\": 3726}", "seed": "12841277686911433937", "semantic_fingerprint": "sha256:3b0f6ca8acbdf441e04e75d2a34ba33265b4365d51902c3b3ac5d4830d16d33b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000398", "prompt": "Find x: -35x - 1260 = x", "solution_steps": ["Subtract x from both sides: -36x - 1260 = 0", "Add 1260 to both sides: -36x = 1260", "Divide both sides by -36: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x - 1260 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"c\": -1260, \"x\": -35}", "seed": "10806508154197859183", "semantic_fingerprint": "sha256:b98e93a5615419297ab80f3d1d2c7b737ce33b8852ee99b9cb7db835728ab933", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000399", "prompt": "Calculate: (8734 - 4086 - (-60043)) / (-3841)", "solution_steps": ["Subtract: 8734 - 4086 = 4648", "Subtract: 4648 - (-60043) = 64691", "Divide: 64691 / (-3841) = -64691/3841"], "final_answer": "-64691/3841", "answer_type": "rational", "kind": "expression", "math_text": "(8734 - 4086 - (-60043)) / (-3841)", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8734, \"b\": 4086, \"c\": -60043, \"d\": -3841}", "seed": "251170363588500907", "semantic_fingerprint": "sha256:e9e4437a5cf7fc81b5936edaf25b0e9644182f465dfa8a3922c1230e03ed306e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000400", "prompt": "Calculate: 39843 + 1429 - (-3207) - 4197", "solution_steps": ["Add: 39843 + 1429 = 41272", "Subtract: 41272 - (-3207) = 44479", "Subtract: 44479 - 4197 = 40282"], "final_answer": "40282", "answer_type": "integer", "kind": "expression", "math_text": "39843 + 1429 - (-3207) - 4197", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39843, \"b\": 1429, \"c\": -3207, \"d\": 4197}", "seed": "11450300477588442105", "semantic_fingerprint": "sha256:54c1b60336df48f2e0b3eea528060b9f1ae572cc8ca9e44337b1b73dbd7b9ae6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000401", "prompt": "Evaluate: 9248 - (4143 * (-35316) * (-5751) + (-9980))", "solution_steps": ["Multiply: 4143 * (-35316) = -146314188", "Multiply: -146314188 * (-5751) = 841452895188", "Add: 841452895188 + (-9980) = 841452885208", "Subtract: 9248 - 841452885208 = -841452875960"], "final_answer": "-841452875960", "answer_type": "integer", "kind": "expression", "math_text": "9248 - (4143 * (-35316) * (-5751) + (-9980))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9248, \"b\": 4143, \"c\": -35316, \"d\": -5751, \"e\": -9980}", "seed": "4808217086471126596", "semantic_fingerprint": "sha256:a79423e8240e72a040a0890be308a25170df0f4172f62bf0f14976868b5df717", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000402", "prompt": "Find x: -14x - 69361 = 35(x - 1641) - 20060", "solution_steps": ["Expand: -14x - 69361 = 35x - 57435 - 20060", "Combine constants: -14x - 69361 = 35x - 77495", "Subtract 35x from both sides: -49x - 69361 = -77495", "Add 69361 to both sides: -49x = -8134", "Divide both sides by -49: x = 166"], "final_answer": "166", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x - 69361 = 35(x - 1641) - 20060", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 69361, \"c\": 35, \"d\": 1641, \"f\": -20060, \"x\": 166}", "seed": "10536182088494153130", "semantic_fingerprint": "sha256:aebdc321d374c9ddeea7d5420a8e4fe36e9c08b389d552f63783fc70307c7699", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000403", "prompt": "Evaluate: -1435 * (8250 + 84731 - (-3218 + (-95201)) / (-2401))", "solution_steps": ["Add: 8250 + 84731 = 92981", "Add: -3218 + (-95201) = -98419", "Divide: -98419 / (-2401) = 98419/2401", "Subtract: 92981 - 98419/2401 = 223148962/2401", "Multiply: -1435 * (223148962/2401) = -45745537210/343"], "final_answer": "-45745537210/343", "answer_type": "rational", "kind": "expression", "math_text": "-1435 * (8250 + 84731 - (-3218 + (-95201)) / (-2401))", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n n) (/ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1435, \"b\": 8250, \"c\": 84731, \"d\": -3218, \"e\": -95201, \"f\": -2401}", "seed": "7207193631047133815", "semantic_fingerprint": "sha256:c87cacdbfc578a8496ce024dc9fffb4001e8ffcfbd4d2c2134f816f781db5da7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000404", "prompt": "Find x: 38x = x + 6168", "solution_steps": ["Subtract x from both sides: 37x = 6168", "Divide both sides by 37: x = 6168/37"], "final_answer": "6168/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x = x + 6168", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 6168}", "seed": "15187898654734187252", "semantic_fingerprint": "sha256:e64d724d3a2cba2f0fa8cdaea16c6a2e83632a0c64ff04be2cccbb61ac6c7cde", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000405", "prompt": "What value of x satisfies 34(x + 73055) - 69819 = -13(x - 4419) + 3992?", "solution_steps": ["Expand: 34x + 2483870 - 69819 = -13(x - 4419) + 3992", "Expand: 34x + 2483870 - 69819 = -13x + 57447 + 3992", "Combine constants: 34x + 2414051 = -13x + 57447 + 3992", "Combine constants: 34x + 2414051 = -13x + 61439", "Add 13x to both sides: 47x + 2414051 = 61439", "Subtract 2414051 from both sides: 47x = -2352612", "Divide both sides by 47: x = -2352612/47"], "final_answer": "-2352612/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 73055) - 69819 = -13(x - 4419) + 3992", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 73055, \"c\": 69819, \"d\": -13, \"e\": 4419, \"f\": 3992}", "seed": "4741420554574419209", "semantic_fingerprint": "sha256:d975981435c5087cec9d00094200dae66b5af7d4bc3f53ea5343cd69ffbfb344", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000406", "prompt": "Solve the equation x - 6926 = 28(x + 4369) + 8385 for x.", "solution_steps": ["Expand: x - 6926 = 28x + 122332 + 8385", "Combine constants: x - 6926 = 28x + 130717", "Subtract 28x from both sides: -27x - 6926 = 130717", "Add 6926 to both sides: -27x = 137643", "Divide both sides by -27: x = -45881/9"], "final_answer": "-45881/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6926 = 28(x + 4369) + 8385", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6926, \"b\": 28, \"c\": 4369, \"d\": 8385}", "seed": "18123886411641543404", "semantic_fingerprint": "sha256:65ecd0179149a5ea2df3d0c0e19be4cc5454c52408be98c7a4bf1c025ebc40c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000407", "prompt": "Evaluate: 7447 + 6336 - (-4831 - 7826) / (-8847)", "solution_steps": ["Add: 7447 + 6336 = 13783", "Subtract: -4831 - 7826 = -12657", "Divide: -12657 / (-8847) = 4219/2949", "Subtract: 13783 - 4219/2949 = 40641848/2949"], "final_answer": "40641848/2949", "answer_type": "rational", "kind": "expression", "math_text": "7447 + 6336 - (-4831 - 7826) / (-8847)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7447, \"b\": 6336, \"c\": -4831, \"d\": 7826, \"e\": -8847}", "seed": "3264431157911236058", "semantic_fingerprint": "sha256:c89c044f42bf00bba59ef7a5e244dc07e2f5057b3c0239eb27a750ce38f50546", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000408", "prompt": "Evaluate: -4240 - 74682", "solution_steps": ["Subtract: -4240 - 74682 = -78922"], "final_answer": "-78922", "answer_type": "integer", "kind": "expression", "math_text": "-4240 - 74682", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4240, \"b\": 74682}", "seed": "8146370541078512974", "semantic_fingerprint": "sha256:2106b4f2eb009d725554c2c6a8c3b9b047a45602e1221aeb1949fa742afadecd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000409", "prompt": "Calculate: -29738 - (8235 - (-55606 + (-9205)))", "solution_steps": ["Add: -55606 + (-9205) = -64811", "Subtract: 8235 - (-64811) = 73046", "Subtract: -29738 - 73046 = -102784"], "final_answer": "-102784", "answer_type": "integer", "kind": "expression", "math_text": "-29738 - (8235 - (-55606 + (-9205)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29738, \"b\": 8235, \"c\": -55606, \"d\": -9205}", "seed": "6898300595602768899", "semantic_fingerprint": "sha256:d3c56bb98034102066c2ed1f888fa796b2f681362b8fbfdfb11837e1bec2ca0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000410", "prompt": "What value of x satisfies 36(x - 20674) = 27(x + 5578) - 73464?", "solution_steps": ["Expand: 36x - 744264 = 27(x + 5578) - 73464", "Expand: 36x - 744264 = 27x + 150606 - 73464", "Combine constants: 36x - 744264 = 27x + 77142", "Subtract 27x from both sides: 9x - 744264 = 77142", "Add 744264 to both sides: 9x = 821406", "Divide both sides by 9: x = 273802/3"], "final_answer": "273802/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 20674) = 27(x + 5578) - 73464", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 20674, \"c\": 27, \"d\": 5578, \"e\": 73464}", "seed": "1675716955667459259", "semantic_fingerprint": "sha256:8df7ea01ba414d16b08727acd6e8f61912ae599e9e887f281af5f5625ec1bc82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000411", "prompt": "Solve for x: -23x + 2160 = 17x", "solution_steps": ["Subtract 17x from both sides: -40x + 2160 = 0", "Subtract 2160 from both sides: -40x = -2160", "Divide both sides by -40: x = 54"], "final_answer": "54", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x + 2160 = 17x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 17, \"d\": 2160, \"x\": 54}", "seed": "13430001285462635669", "semantic_fingerprint": "sha256:8e306d79958016a3588455c8b3c01660e439c45582ad0a25e26b583a7b9c2cf8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000412", "prompt": "Solve the equation x = 14(x + 6596) for x.", "solution_steps": ["Expand: x = 14x + 92344", "Subtract 14x from both sides: -13x = 92344", "Divide both sides by -13: x = -92344/13"], "final_answer": "-92344/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 14(x + 6596)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6596}", "seed": "11587766006162726568", "semantic_fingerprint": "sha256:35a5cb15439320400ad851767bc15c0c39551e221fd2666460fdc4e0cdf76844", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000413", "prompt": "What value of x satisfies -13x = 15(x + 8966)?", "solution_steps": ["Expand: -13x = 15x + 134490", "Subtract 15x from both sides: -28x = 134490", "Divide both sides by -28: x = -67245/14"], "final_answer": "-67245/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x = 15(x + 8966)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 15, \"c\": 8966}", "seed": "12730949200851712610", "semantic_fingerprint": "sha256:a4e81c2c73af6db4bbf3584c5c2ecbd05e8c237c381d87c14916e47f93037077", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000414", "prompt": "What value of x satisfies -21(x - 5270) = 32(x + 1953) + 52520?", "solution_steps": ["Expand: -21x + 110670 = 32(x + 1953) + 52520", "Expand: -21x + 110670 = 32x + 62496 + 52520", "Combine constants: -21x + 110670 = 32x + 115016", "Subtract 32x from both sides: -53x + 110670 = 115016", "Subtract 110670 from both sides: -53x = 4346", "Divide both sides by -53: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21(x - 5270) = 32(x + 1953) + 52520", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 5270, \"c\": 32, \"d\": 1953, \"f\": 52520, \"x\": -82}", "seed": "17509803984200699702", "semantic_fingerprint": "sha256:bb62e48a0444c5420e79b9db697bf97022672c88a00e1f62682b3fb5f45e8c84", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000415", "prompt": "What is 7772 - 2551 + (-69038) * 88373?", "solution_steps": ["Subtract: 7772 - 2551 = 5221", "Multiply: -69038 * 88373 = -6101095174", "Add: 5221 + (-6101095174) = -6101089953"], "final_answer": "-6101089953", "answer_type": "integer", "kind": "expression", "math_text": "7772 - 2551 + (-69038) * 88373", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7772, \"b\": 2551, \"c\": -69038, \"d\": 88373}", "seed": "16866925276044326503", "semantic_fingerprint": "sha256:02976308ab94d6ff6e6da9509b91c77901482c8ca9f6bf8ecf4c95246fb515f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000416", "prompt": "Evaluate: -5235 - (-5459) - (2824 - (-46390))", "solution_steps": ["Subtract: -5235 - (-5459) = 224", "Subtract: 2824 - (-46390) = 49214", "Subtract: 224 - 49214 = -48990"], "final_answer": "-48990", "answer_type": "integer", "kind": "expression", "math_text": "-5235 - (-5459) - (2824 - (-46390))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5235, \"b\": -5459, \"c\": 2824, \"d\": -46390}", "seed": "13913448039799838189", "semantic_fingerprint": "sha256:463bf9fc41b620b78b7bbbef2a65e19469d36976dc5d58b035f561ee004f51a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000417", "prompt": "What is (-1154 + 4767 * 53580) / (-4796)?", "solution_steps": ["Multiply: 4767 * 53580 = 255415860", "Add: -1154 + 255415860 = 255414706", "Divide: 255414706 / (-4796) = -127707353/2398"], "final_answer": "-127707353/2398", "answer_type": "rational", "kind": "expression", "math_text": "(-1154 + 4767 * 53580) / (-4796)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1154, \"b\": 4767, \"c\": 53580, \"d\": -4796}", "seed": "12482927879640144466", "semantic_fingerprint": "sha256:40a891b8c528423d9332dfec194a94b0e5495ae5535ae5ebe4efeecf5dfd4fca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000418", "prompt": "Compute: -7070 + 8331 - (-2400)", "solution_steps": ["Add: -7070 + 8331 = 1261", "Subtract: 1261 - (-2400) = 3661"], "final_answer": "3661", "answer_type": "integer", "kind": "expression", "math_text": "-7070 + 8331 - (-2400)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7070, \"b\": 8331, \"c\": -2400}", "seed": "13182986227369514621", "semantic_fingerprint": "sha256:87ff7ef6173b512d8d57fc8fb9dfb9d495adf3d87ca2fe4d36e357577a7c4b58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000419", "prompt": "Solve the equation 25(x - 6657) - 74021 = 35(x + 2212) - 13008 for x.", "solution_steps": ["Expand: 25x - 166425 - 74021 = 35(x + 2212) - 13008", "Expand: 25x - 166425 - 74021 = 35x + 77420 - 13008", "Combine constants: 25x - 240446 = 35x + 77420 - 13008", "Combine constants: 25x - 240446 = 35x + 64412", "Subtract 35x from both sides: -10x - 240446 = 64412", "Add 240446 to both sides: -10x = 304858", "Divide both sides by -10: x = -152429/5"], "final_answer": "-152429/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 6657) - 74021 = 35(x + 2212) - 13008", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 6657, \"c\": 74021, \"d\": 35, \"e\": 2212, \"f\": 13008}", "seed": "9567297667630650470", "semantic_fingerprint": "sha256:aedce8c2e426e26302dded64a810d2fdf42e928021dbffb63136c425a39b666e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000420", "prompt": "Calculate: (9522 + (-43275)) / (-7158 + 9053) + 7445", "solution_steps": ["Add: 9522 + (-43275) = -33753", "Add: -7158 + 9053 = 1895", "Divide: -33753 / 1895 = -33753/1895", "Add: -33753/1895 + 7445 = 14074522/1895"], "final_answer": "14074522/1895", "answer_type": "rational", "kind": "expression", "math_text": "(9522 + (-43275)) / (-7158 + 9053) + 7445", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9522, \"b\": -43275, \"c\": -7158, \"d\": 9053, \"e\": 7445}", "seed": "8738881271707196355", "semantic_fingerprint": "sha256:7375e6afcc1d66e5dd63b9b52582560db4810f18ebfee9850ef5c5b2b8210d5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000421", "prompt": "Compute: 2602 * (-83725) + (9805 - (-33894)) * (-63342)", "solution_steps": ["Multiply: 2602 * (-83725) = -217852450", "Subtract: 9805 - (-33894) = 43699", "Multiply: 43699 * (-63342) = -2767982058", "Add: -217852450 + (-2767982058) = -2985834508"], "final_answer": "-2985834508", "answer_type": "integer", "kind": "expression", "math_text": "2602 * (-83725) + (9805 - (-33894)) * (-63342)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2602, \"b\": -83725, \"c\": 9805, \"d\": -33894, \"e\": -63342}", "seed": "2661428724037183044", "semantic_fingerprint": "sha256:be628e3994e3e3c3c84c1fea4040f2f141019f320d9a5ba66117bb30cda618cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000422", "prompt": "Find x: -16x = x", "solution_steps": ["Subtract x from both sides: -17x = 0", "Divide both sides by -17: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16}", "seed": "16387241969504008026", "semantic_fingerprint": "sha256:7523ea3edddadde8e9c6af40c9e152497c1be44eacad12bfb0d44caee0807586", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000423", "prompt": "Evaluate: -1556 * 9956 - 2036 - 2265", "solution_steps": ["Multiply: -1556 * 9956 = -15491536", "Subtract: -15491536 - 2036 = -15493572", "Subtract: -15493572 - 2265 = -15495837"], "final_answer": "-15495837", "answer_type": "integer", "kind": "expression", "math_text": "-1556 * 9956 - 2036 - 2265", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1556, \"b\": 9956, \"c\": 2036, \"d\": 2265}", "seed": "558436292052192566", "semantic_fingerprint": "sha256:9ecf5b3fcb0800219401319d8d944e18f6c60b3a598f9f5b4db0c0fb20467b52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000424", "prompt": "Compute: -7339 * 7248", "solution_steps": ["Multiply: -7339 * 7248 = -53193072"], "final_answer": "-53193072", "answer_type": "integer", "kind": "expression", "math_text": "-7339 * 7248", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7339, \"b\": 7248}", "seed": "4087615514706840199", "semantic_fingerprint": "sha256:ec3e3ad9ab0de12fbbe95cdc03b410c1b489266eb6aabb54d255c4140250cfb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000425", "prompt": "What is 58104 - (-42306)?", "solution_steps": ["Subtract: 58104 - (-42306) = 100410"], "final_answer": "100410", "answer_type": "integer", "kind": "expression", "math_text": "58104 - (-42306)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 58104, \"b\": -42306}", "seed": "17962034762606263931", "semantic_fingerprint": "sha256:2c3423b8225ecc2f84b963aa87776d0f43bf4752d6bce21c2769ff17de0c03f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000426", "prompt": "What is (-57295 + 3258) * (-69435) / (-26765) - (1700 - (-1329))?", "solution_steps": ["Add: -57295 + 3258 = -54037", "Multiply: -54037 * (-69435) = 3752059095", "Divide: 3752059095 / (-26765) = -750411819/5353", "Subtract: 1700 - (-1329) = 3029", "Subtract: -750411819/5353 - 3029 = -766626056/5353"], "final_answer": "-766626056/5353", "answer_type": "rational", "kind": "expression", "math_text": "(-57295 + 3258) * (-69435) / (-26765) - (1700 - (-1329))", "variable": null, "family": "expression_5op", "shape": "(- (/ (* (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -57295, \"b\": 3258, \"c\": -69435, \"d\": -26765, \"e\": 1700, \"f\": -1329}", "seed": "9897287476358127794", "semantic_fingerprint": "sha256:cacab144cea3bbedd360dd9c510adab8d17005b7b5b0b166f1b35ca885c3cbc4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000427", "prompt": "What is (89432 + (-1107)) / (-96927)?", "solution_steps": ["Add: 89432 + (-1107) = 88325", "Divide: 88325 / (-96927) = -88325/96927"], "final_answer": "-88325/96927", "answer_type": "rational", "kind": "expression", "math_text": "(89432 + (-1107)) / (-96927)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 89432, \"b\": -1107, \"c\": -96927}", "seed": "15724003391474308057", "semantic_fingerprint": "sha256:32050216fc2e1574b8437971ee42028d848c515e04386f19e51d68969afc18e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000428", "prompt": "Solve for x: x = -23x + 3072", "solution_steps": ["Add 23x to both sides: 24x = 3072", "Divide both sides by 24: x = 128"], "final_answer": "128", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -23x + 3072", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23, \"c\": 3072, \"x\": 128}", "seed": "15609677551058960982", "semantic_fingerprint": "sha256:56e0c30d02f224f276e122eb8f7cab23cdd8ac6ddd7829921e5197e76149b87c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000429", "prompt": "What is 6827 + (-8417) + (-3197)?", "solution_steps": ["Add: 6827 + (-8417) = -1590", "Add: -1590 + (-3197) = -4787"], "final_answer": "-4787", "answer_type": "integer", "kind": "expression", "math_text": "6827 + (-8417) + (-3197)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6827, \"b\": -8417, \"c\": -3197}", "seed": "17620123831457978903", "semantic_fingerprint": "sha256:2ed69dcb3f356cbeba54a4b6e0ab2fef762a09c7311d4beb69e483688ac5f184", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000430", "prompt": "Solve for x: 22(x + 70623) = 16x - 2561", "solution_steps": ["Expand: 22x + 1553706 = 16x - 2561", "Subtract 16x from both sides: 6x + 1553706 = -2561", "Subtract 1553706 from both sides: 6x = -1556267", "Divide both sides by 6: x = -1556267/6"], "final_answer": "-1556267/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 70623) = 16x - 2561", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 70623, \"c\": 16, \"d\": 2561}", "seed": "16891249450405758001", "semantic_fingerprint": "sha256:4f26382d6ba4cc11db05225d626b957069d69b4b89d44d54fc0b0683e3a99631", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000431", "prompt": "Find x: 28x - 57138 = x - 60432", "solution_steps": ["Subtract x from both sides: 27x - 57138 = -60432", "Add 57138 to both sides: 27x = -3294", "Divide both sides by 27: x = -122"], "final_answer": "-122", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x - 57138 = x - 60432", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 57138, \"d\": -60432, \"x\": -122}", "seed": "6061729948788796136", "semantic_fingerprint": "sha256:86bb940d52d6571e990d97f07f26012ae1b8f9bd05dcea77c3b3c3f2ed83415f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000432", "prompt": "Compute: 68446 * (-2327 * (-1989))", "solution_steps": ["Multiply: -2327 * (-1989) = 4628403", "Multiply: 68446 * 4628403 = 316795671738"], "final_answer": "316795671738", "answer_type": "integer", "kind": "expression", "math_text": "68446 * (-2327 * (-1989))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 68446, \"b\": -2327, \"c\": -1989}", "seed": "7972462734741570425", "semantic_fingerprint": "sha256:1ea3477a2789732ccf8ed4f19e0d1945179b444cf538353286fd1f1ca0bf788e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000433", "prompt": "What value of x satisfies 33(x + 6915) = x?", "solution_steps": ["Expand: 33x + 228195 = x", "Subtract x from both sides: 32x + 228195 = 0", "Subtract 228195 from both sides: 32x = -228195", "Divide both sides by 32: x = -228195/32"], "final_answer": "-228195/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 6915) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 6915}", "seed": "4544835903866402849", "semantic_fingerprint": "sha256:a3d707463f6b69f65792282421d6e9ec1e8abe96f9b03a930e1ad28755cac545", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000434", "prompt": "Calculate: -6076 + (-1089)", "solution_steps": ["Add: -6076 + (-1089) = -7165"], "final_answer": "-7165", "answer_type": "integer", "kind": "expression", "math_text": "-6076 + (-1089)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6076, \"b\": -1089}", "seed": "9328342815908649078", "semantic_fingerprint": "sha256:0cb41d612f046b0584f62ffcb7377af79579cb8ca7fdeaa93ae3f8437713d870", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000435", "prompt": "Evaluate: (-1060 + (-57261) + 5972 * (-43699)) / (-21455)", "solution_steps": ["Add: -1060 + (-57261) = -58321", "Multiply: 5972 * (-43699) = -260970428", "Add: -58321 + (-260970428) = -261028749", "Divide: -261028749 / (-21455) = 261028749/21455"], "final_answer": "261028749/21455", "answer_type": "rational", "kind": "expression", "math_text": "(-1060 + (-57261) + 5972 * (-43699)) / (-21455)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1060, \"b\": -57261, \"c\": 5972, \"d\": -43699, \"e\": -21455}", "seed": "11858139963232901431", "semantic_fingerprint": "sha256:bdca2c9f9f7fc4d1ee852ecfb25a7f8541091e73c2056bd20f5fd0f207c97e99", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000436", "prompt": "What value of x satisfies -37(x + 45487) - 8988 = -14(x + 5687) + 25863?", "solution_steps": ["Expand: -37x - 1683019 - 8988 = -14(x + 5687) + 25863", "Expand: -37x - 1683019 - 8988 = -14x - 79618 + 25863", "Combine constants: -37x - 1692007 = -14x - 79618 + 25863", "Combine constants: -37x - 1692007 = -14x - 53755", "Add 14x to both sides: -23x - 1692007 = -53755", "Add 1692007 to both sides: -23x = 1638252", "Divide both sides by -23: x = -1638252/23"], "final_answer": "-1638252/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 45487) - 8988 = -14(x + 5687) + 25863", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 45487, \"c\": 8988, \"d\": -14, \"e\": 5687, \"f\": 25863}", "seed": "15942895604333402523", "semantic_fingerprint": "sha256:d867d92e7ddc1083ad9a956636bc2f5a9d8102dc40ec625b1e4c0f98c2dc8d93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000437", "prompt": "What value of x satisfies x = -32(x + 30156)?", "solution_steps": ["Expand: x = -32x - 964992", "Add 32x to both sides: 33x = -964992", "Divide both sides by 33: x = -321664/11"], "final_answer": "-321664/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -32(x + 30156)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 30156}", "seed": "16596067831432920354", "semantic_fingerprint": "sha256:9734a8c79b1b7366b55266b3c56d05cf8d094694ae0fa6b93b1893cdf99c7984", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000438", "prompt": "Evaluate: -38006 / 9564", "solution_steps": ["Divide: -38006 / 9564 = -19003/4782"], "final_answer": "-19003/4782", "answer_type": "rational", "kind": "expression", "math_text": "-38006 / 9564", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38006, \"b\": 9564}", "seed": "3758629758762239009", "semantic_fingerprint": "sha256:f9bced8e92629b78e96f12120c1751e49694747e29189f83b0b21fab1c32b433", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000439", "prompt": "Find x: -16x - 7697 = x - 9312", "solution_steps": ["Subtract x from both sides: -17x - 7697 = -9312", "Add 7697 to both sides: -17x = -1615", "Divide both sides by -17: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x - 7697 = x - 9312", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 7697, \"d\": -9312, \"x\": 95}", "seed": "15668441792619909083", "semantic_fingerprint": "sha256:443f1c3b5a077d40d9800647fd1e786e3dfd89aa7c7621557309ddd7a0fbb8e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000440", "prompt": "Find x: 16(x + 80691) = 24(x + 43273)", "solution_steps": ["Expand: 16x + 1291056 = 24(x + 43273)", "Expand: 16x + 1291056 = 24x + 1038552", "Subtract 24x from both sides: -8x + 1291056 = 1038552", "Subtract 1291056 from both sides: -8x = -252504", "Divide both sides by -8: x = 31563"], "final_answer": "31563", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 80691) = 24(x + 43273)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 80691, \"c\": 24, \"d\": 43273}", "seed": "9945723446429405130", "semantic_fingerprint": "sha256:5ea970276810723909ff6688eb225481a5e3c8678b02b725e20bb6e1f457f6b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000441", "prompt": "Evaluate: 4469 - (54808 + 5536)", "solution_steps": ["Add: 54808 + 5536 = 60344", "Subtract: 4469 - 60344 = -55875"], "final_answer": "-55875", "answer_type": "integer", "kind": "expression", "math_text": "4469 - (54808 + 5536)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4469, \"b\": 54808, \"c\": 5536}", "seed": "18172762736019542868", "semantic_fingerprint": "sha256:29af1a87f52afa6a17fd658a5f982bebf978d1d6e8fb6b1a9351ce6cacaa73e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000442", "prompt": "What is 9894 / (-4908 - (-20376) / 6438)?", "solution_steps": ["Divide: -20376 / 6438 = -3396/1073", "Subtract: -4908 - (-3396/1073) = -5262888/1073", "Divide: 9894 / (-5262888/1073) = -1769377/877148"], "final_answer": "-1769377/877148", "answer_type": "rational", "kind": "expression", "math_text": "9894 / (-4908 - (-20376) / 6438)", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9894, \"b\": -4908, \"c\": -20376, \"d\": 6438}", "seed": "11911330901618655287", "semantic_fingerprint": "sha256:521ec95ddff4d40d81877fd2da99ad17f29a60ef9893a9dd178901d4dbba80ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000443", "prompt": "Find x: 33x - 9516 = 22(x - 2826) + 54559", "solution_steps": ["Expand: 33x - 9516 = 22x - 62172 + 54559", "Combine constants: 33x - 9516 = 22x - 7613", "Subtract 22x from both sides: 11x - 9516 = -7613", "Add 9516 to both sides: 11x = 1903", "Divide both sides by 11: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x - 9516 = 22(x - 2826) + 54559", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 9516, \"c\": 22, \"d\": 2826, \"f\": 54559, \"x\": 173}", "seed": "9790040820209996330", "semantic_fingerprint": "sha256:d42ae7266d8add7be148592e65a9afa79dbfb3ff4fd72948714603cd7efbaa45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000444", "prompt": "What is 38810 * (6174 + (-32156))?", "solution_steps": ["Add: 6174 + (-32156) = -25982", "Multiply: 38810 * (-25982) = -1008361420"], "final_answer": "-1008361420", "answer_type": "integer", "kind": "expression", "math_text": "38810 * (6174 + (-32156))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38810, \"b\": 6174, \"c\": -32156}", "seed": "17882350826631668125", "semantic_fingerprint": "sha256:cf8b2066e974af83f869500da2720f95072b7c149cf1d2b4e6d503c55e638c1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000445", "prompt": "Calculate: 24400 + (-6460 + (-76683) * 57413)", "solution_steps": ["Multiply: -76683 * 57413 = -4402601079", "Add: -6460 + (-4402601079) = -4402607539", "Add: 24400 + (-4402607539) = -4402583139"], "final_answer": "-4402583139", "answer_type": "integer", "kind": "expression", "math_text": "24400 + (-6460 + (-76683) * 57413)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24400, \"b\": -6460, \"c\": -76683, \"d\": 57413}", "seed": "2520470280471948485", "semantic_fingerprint": "sha256:ccb4ecb9a6f3b7fee4f3f60963ca8c50380d4dfc50912654533d5f5c3b13f871", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000446", "prompt": "Compute: -1177 * (-7117 * 6535)", "solution_steps": ["Multiply: -7117 * 6535 = -46509595", "Multiply: -1177 * (-46509595) = 54741793315"], "final_answer": "54741793315", "answer_type": "integer", "kind": "expression", "math_text": "-1177 * (-7117 * 6535)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1177, \"b\": -7117, \"c\": 6535}", "seed": "4573955357576172690", "semantic_fingerprint": "sha256:a02012e2c1311643e3aa7d9d28fe79f115e41cfd191362e0d9ec54fa9b81947c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000447", "prompt": "What value of x satisfies 23(x + 3887) - 8849 = 22(x - 24436) - 67996?", "solution_steps": ["Expand: 23x + 89401 - 8849 = 22(x - 24436) - 67996", "Expand: 23x + 89401 - 8849 = 22x - 537592 - 67996", "Combine constants: 23x + 80552 = 22x - 537592 - 67996", "Combine constants: 23x + 80552 = 22x - 605588", "Subtract 22x from both sides: x + 80552 = -605588", "Subtract 80552 from both sides: x = -686140"], "final_answer": "-686140", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 3887) - 8849 = 22(x - 24436) - 67996", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3887, \"c\": 8849, \"d\": 22, \"e\": 24436, \"f\": 67996}", "seed": "18351926373575045269", "semantic_fingerprint": "sha256:2e16ad5eab13195ec6f1f2ac9b6a785f20b92afc0a73571dcd67e5d0edaada9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000448", "prompt": "Solve the equation x - 6765 = 34x - 5973 for x.", "solution_steps": ["Subtract 34x from both sides: -33x - 6765 = -5973", "Add 6765 to both sides: -33x = 792", "Divide both sides by -33: x = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6765 = 34x - 5973", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6765, \"b\": 34, \"d\": -5973, \"x\": -24}", "seed": "9830109728046849106", "semantic_fingerprint": "sha256:86eb68d76e2ed54052e8c0b06e917b887344cd4163b2a96bea3baa7d0284e598", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000449", "prompt": "Compute: 34367 + (-55924 + 64133)", "solution_steps": ["Add: -55924 + 64133 = 8209", "Add: 34367 + 8209 = 42576"], "final_answer": "42576", "answer_type": "integer", "kind": "expression", "math_text": "34367 + (-55924 + 64133)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34367, \"b\": -55924, \"c\": 64133}", "seed": "3110455242677132679", "semantic_fingerprint": "sha256:7de5d3e918145816e7831da3c8f7fa1f3e9f8155eff02b3b15630a6630e2d4a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000450", "prompt": "Compute: 6069 * (-1788) * 6161", "solution_steps": ["Multiply: 6069 * (-1788) = -10851372", "Multiply: -10851372 * 6161 = -66855302892"], "final_answer": "-66855302892", "answer_type": "integer", "kind": "expression", "math_text": "6069 * (-1788) * 6161", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6069, \"b\": -1788, \"c\": 6161}", "seed": "16450130409046919960", "semantic_fingerprint": "sha256:284ce91507a754565395ee51b258deebd623538a6586860a7c9cd332add21920", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000451", "prompt": "Find x: 32(x - 3039) = 39(x + 35849)", "solution_steps": ["Expand: 32x - 97248 = 39(x + 35849)", "Expand: 32x - 97248 = 39x + 1398111", "Subtract 39x from both sides: -7x - 97248 = 1398111", "Add 97248 to both sides: -7x = 1495359", "Divide both sides by -7: x = -1495359/7"], "final_answer": "-1495359/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 3039) = 39(x + 35849)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 3039, \"c\": 39, \"d\": 35849}", "seed": "4379611018290539156", "semantic_fingerprint": "sha256:6f73371c3b8a05796fd9d39e3b0c3980f13a0a31dbe5adbde96dcb9638fd9d23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000452", "prompt": "Calculate: 4567 * (-69470)", "solution_steps": ["Multiply: 4567 * (-69470) = -317269490"], "final_answer": "-317269490", "answer_type": "integer", "kind": "expression", "math_text": "4567 * (-69470)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4567, \"b\": -69470}", "seed": "7820878940487607578", "semantic_fingerprint": "sha256:a6629b1d946575f6f6677e7904dfd3fb77ecf39a3b36584d842fa16d933f7934", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000453", "prompt": "Find x: 23x = 21x - 6043", "solution_steps": ["Subtract 21x from both sides: 2x = -6043", "Divide both sides by 2: x = -6043/2"], "final_answer": "-6043/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x = 21x - 6043", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 21, \"c\": 6043}", "seed": "2879780521547574077", "semantic_fingerprint": "sha256:20cbc1160c74d19e95b613c5fa9423bf40b339a37c017962fc211f7391e9eeb9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000454", "prompt": "Evaluate: -59404 / 4706", "solution_steps": ["Divide: -59404 / 4706 = -29702/2353"], "final_answer": "-29702/2353", "answer_type": "rational", "kind": "expression", "math_text": "-59404 / 4706", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59404, \"b\": 4706}", "seed": "7040689167149773375", "semantic_fingerprint": "sha256:c22e2cff3a69b2227e1460de4496853f42b4f85e418c9616d2b8a38a8b589a98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000455", "prompt": "Calculate: (-6456 / 2295 + 12999 - (-5191)) * (-9667 - 8618)", "solution_steps": ["Divide: -6456 / 2295 = -2152/765", "Add: -2152/765 + 12999 = 9942083/765", "Subtract: 9942083/765 - (-5191) = 13913198/765", "Subtract: -9667 - 8618 = -18285", "Multiply: (13913198/765) * (-18285) = -16960188362/51"], "final_answer": "-16960188362/51", "answer_type": "rational", "kind": "expression", "math_text": "(-6456 / 2295 + 12999 - (-5191)) * (-9667 - 8618)", "variable": null, "family": "expression_5op", "shape": "(* (- (+ (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6456, \"b\": 2295, \"c\": 12999, \"d\": -5191, \"e\": -9667, \"f\": 8618}", "seed": "13773219350636929981", "semantic_fingerprint": "sha256:0e9b7803eae723bf6645d4b313ed632c358721f319545380302e666a35df3df3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000456", "prompt": "Calculate: (-33033 - (5769 + 9827) - (-2931 + (-3705))) * (-54319)", "solution_steps": ["Add: 5769 + 9827 = 15596", "Subtract: -33033 - 15596 = -48629", "Add: -2931 + (-3705) = -6636", "Subtract: -48629 - (-6636) = -41993", "Multiply: -41993 * (-54319) = 2281017767"], "final_answer": "2281017767", "answer_type": "integer", "kind": "expression", "math_text": "(-33033 - (5769 + 9827) - (-2931 + (-3705))) * (-54319)", "variable": null, "family": "expression_5op", "shape": "(* (- (- n (+ n n)) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33033, \"b\": 5769, \"c\": 9827, \"d\": -2931, \"e\": -3705, \"f\": -54319}", "seed": "12286988476146009990", "semantic_fingerprint": "sha256:02376bd4c3d8977744a45f7574430137c48e1582d8323b3a19cd775b7e8ddf6f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000457", "prompt": "What is 15637 + 24580?", "solution_steps": ["Add: 15637 + 24580 = 40217"], "final_answer": "40217", "answer_type": "integer", "kind": "expression", "math_text": "15637 + 24580", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 15637, \"b\": 24580}", "seed": "9926958400013134825", "semantic_fingerprint": "sha256:201fed3679fa6eae0b2632795e73cb36ccb663ed12450c401beeda46395a22c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000458", "prompt": "What is 98348 * (-1529)?", "solution_steps": ["Multiply: 98348 * (-1529) = -150374092"], "final_answer": "-150374092", "answer_type": "integer", "kind": "expression", "math_text": "98348 * (-1529)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 98348, \"b\": -1529}", "seed": "8075681164851379526", "semantic_fingerprint": "sha256:c50adaf47896db02deb11632b0bdace81d356b983dfbcf78242fb3893c54ab51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000459", "prompt": "Find x: 31x + 6660 = x + 3270", "solution_steps": ["Subtract x from both sides: 30x + 6660 = 3270", "Subtract 6660 from both sides: 30x = -3390", "Divide both sides by 30: x = -113"], "final_answer": "-113", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 6660 = x + 3270", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 6660, \"d\": 3270, \"x\": -113}", "seed": "6899375098346718651", "semantic_fingerprint": "sha256:b98f51391863c5c113e66adc392eb1a1b7b7e97699ab813749e6e41f90030e17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000460", "prompt": "Calculate: 8506 + (-2351)", "solution_steps": ["Add: 8506 + (-2351) = 6155"], "final_answer": "6155", "answer_type": "integer", "kind": "expression", "math_text": "8506 + (-2351)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8506, \"b\": -2351}", "seed": "9316050855013161750", "semantic_fingerprint": "sha256:f5b5fa278a3bddcc501e9b62846f166165564ec6691e7567e791cd8293c6319d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000461", "prompt": "Compute: -78645 * (5049 + (-3983))", "solution_steps": ["Add: 5049 + (-3983) = 1066", "Multiply: -78645 * 1066 = -83835570"], "final_answer": "-83835570", "answer_type": "integer", "kind": "expression", "math_text": "-78645 * (5049 + (-3983))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -78645, \"b\": 5049, \"c\": -3983}", "seed": "2248204388930952247", "semantic_fingerprint": "sha256:c9a88ac662010a0e48a386cf4e2d57f3b22827b3361c0c412f4fffcafc024bc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000462", "prompt": "Solve the equation x - 45431 = 8323 for x.", "solution_steps": ["Add 45431 to both sides: x = 53754"], "final_answer": "53754", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 45431 = 8323", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45431, \"b\": 8323}", "seed": "2208193647783494779", "semantic_fingerprint": "sha256:8246d37baae132dc1c93dbcdb1a056685dd88843431d09ec82e63778ce12f8be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000463", "prompt": "Calculate: 33835 - (-7395) - 21327", "solution_steps": ["Subtract: 33835 - (-7395) = 41230", "Subtract: 41230 - 21327 = 19903"], "final_answer": "19903", "answer_type": "integer", "kind": "expression", "math_text": "33835 - (-7395) - 21327", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33835, \"b\": -7395, \"c\": 21327}", "seed": "12303757995754082506", "semantic_fingerprint": "sha256:b4145d3ef02d72c179d5b8a70866e09cec743f8c11ebde687677314a05b00940", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000464", "prompt": "Solve for x: 16x = x - 58406", "solution_steps": ["Subtract x from both sides: 15x = -58406", "Divide both sides by 15: x = -58406/15"], "final_answer": "-58406/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x = x - 58406", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 58406}", "seed": "13507817556749654060", "semantic_fingerprint": "sha256:05a72ac94fb205c9ed8c0b338034d7f88a6043d0307f1d3634cc301effd4adce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000465", "prompt": "What value of x satisfies -34(x + 82902) = 30x - 96739?", "solution_steps": ["Expand: -34x - 2818668 = 30x - 96739", "Subtract 30x from both sides: -64x - 2818668 = -96739", "Add 2818668 to both sides: -64x = 2721929", "Divide both sides by -64: x = -2721929/64"], "final_answer": "-2721929/64", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x + 82902) = 30x - 96739", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 82902, \"c\": 30, \"d\": 96739}", "seed": "15870990876158105817", "semantic_fingerprint": "sha256:80f8c766f883056e7c31da648459f6724a686abd656f0ec0ba68d16194fdfa5b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000466", "prompt": "Evaluate: 2616 * 89835 * (4539 / 12104) - (-5451)", "solution_steps": ["Multiply: 2616 * 89835 = 235008360", "Divide: 4539 / 12104 = 3/8", "Multiply: 235008360 * (3/8) = 88128135", "Subtract: 88128135 - (-5451) = 88133586"], "final_answer": "88133586", "answer_type": "integer", "kind": "expression", "math_text": "2616 * 89835 * (4539 / 12104) - (-5451)", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2616, \"b\": 89835, \"c\": 4539, \"d\": 12104, \"e\": -5451}", "seed": "5697090292452650573", "semantic_fingerprint": "sha256:4935065ae399b43b5bc16c89af4ba60d8affb68b876d5f3bbd61bcaf0609fbcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000467", "prompt": "Evaluate: 25268 / 1228 * 4818 - (47044 + (-56391)) * 9898", "solution_steps": ["Divide: 25268 / 1228 = 6317/307", "Multiply: (6317/307) * 4818 = 30435306/307", "Add: 47044 + (-56391) = -9347", "Multiply: -9347 * 9898 = -92516606", "Subtract: 30435306/307 - (-92516606) = 28433033348/307"], "final_answer": "28433033348/307", "answer_type": "rational", "kind": "expression", "math_text": "25268 / 1228 * 4818 - (47044 + (-56391)) * 9898", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25268, \"b\": 1228, \"c\": 4818, \"d\": 47044, \"e\": -56391, \"f\": 9898}", "seed": "3762564952577083301", "semantic_fingerprint": "sha256:6c5b9d836715d099d9e00e42885c5e4a77dc51581c15adb6a212fda48c4aeced", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000468", "prompt": "Evaluate: 6896 + (81008 - (-76101) * (-83157))", "solution_steps": ["Multiply: -76101 * (-83157) = 6328330857", "Subtract: 81008 - 6328330857 = -6328249849", "Add: 6896 + (-6328249849) = -6328242953"], "final_answer": "-6328242953", "answer_type": "integer", "kind": "expression", "math_text": "6896 + (81008 - (-76101) * (-83157))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6896, \"b\": 81008, \"c\": -76101, \"d\": -83157}", "seed": "11951278914158593720", "semantic_fingerprint": "sha256:52d1fe0624351f2bfe38602e58fcef75f3119af5203459006958312f6d014939", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000469", "prompt": "What is -7995 - (-9427) / (-9457)?", "solution_steps": ["Divide: -9427 / (-9457) = 9427/9457", "Subtract: -7995 - 9427/9457 = -75618142/9457"], "final_answer": "-75618142/9457", "answer_type": "rational", "kind": "expression", "math_text": "-7995 - (-9427) / (-9457)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7995, \"b\": -9427, \"c\": -9457}", "seed": "8014696191000851173", "semantic_fingerprint": "sha256:e10b1181ad9688b5cc8f12f7f2d46c1995368d96d694cc71310d185f6627f952", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000470", "prompt": "Evaluate: 70046 - 75833 + 5283", "solution_steps": ["Subtract: 70046 - 75833 = -5787", "Add: -5787 + 5283 = -504"], "final_answer": "-504", "answer_type": "integer", "kind": "expression", "math_text": "70046 - 75833 + 5283", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70046, \"b\": 75833, \"c\": 5283}", "seed": "14812690321290378865", "semantic_fingerprint": "sha256:7e4d8f2f682d1a3cc726edfc8f3158043ab106e16633a1e5a0cd7596d79eb29b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000471", "prompt": "Solve the equation -13x - 2322 = x for x.", "solution_steps": ["Subtract x from both sides: -14x - 2322 = 0", "Add 2322 to both sides: -14x = 2322", "Divide both sides by -14: x = -1161/7"], "final_answer": "-1161/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x - 2322 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 2322}", "seed": "17977794343630688594", "semantic_fingerprint": "sha256:418523679f37db210b2c78318ddf31ac2cd351b0d5e7a4c1194794b739bff843", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000472", "prompt": "Evaluate: 4719 + (1425 + 5052)", "solution_steps": ["Add: 1425 + 5052 = 6477", "Add: 4719 + 6477 = 11196"], "final_answer": "11196", "answer_type": "integer", "kind": "expression", "math_text": "4719 + (1425 + 5052)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4719, \"b\": 1425, \"c\": 5052}", "seed": "8729887004528899910", "semantic_fingerprint": "sha256:55535186ee7959873acf2a3db862bc90a56050248c171d3be32a18a5b8ab6266", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000473", "prompt": "Find x: 29x - 22125 = 19(x - 3802) - 3020", "solution_steps": ["Expand: 29x - 22125 = 19x - 72238 - 3020", "Combine constants: 29x - 22125 = 19x - 75258", "Subtract 19x from both sides: 10x - 22125 = -75258", "Add 22125 to both sides: 10x = -53133", "Divide both sides by 10: x = -53133/10"], "final_answer": "-53133/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x - 22125 = 19(x - 3802) - 3020", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 22125, \"c\": 19, \"d\": 3802, \"e\": 3020}", "seed": "3373588411021702014", "semantic_fingerprint": "sha256:f17105a5a04c79fbbcb892cb602e71edf9217b879fff0c9d5c17e116f94dfafd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000474", "prompt": "What is -8276 / (-23125 - 4521) * (-4847)?", "solution_steps": ["Subtract: -23125 - 4521 = -27646", "Divide: -8276 / (-27646) = 4138/13823", "Multiply: (4138/13823) * (-4847) = -20056886/13823"], "final_answer": "-20056886/13823", "answer_type": "rational", "kind": "expression", "math_text": "-8276 / (-23125 - 4521) * (-4847)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8276, \"b\": -23125, \"c\": 4521, \"d\": -4847}", "seed": "6939321229618253933", "semantic_fingerprint": "sha256:10de36068f25f45ecf46cdbf505e8bdc032fa018cbae941f14e66567543cd3e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000475", "prompt": "Calculate: 15416 * (-72265 + (-55951)) * (4921 + (-5302))", "solution_steps": ["Add: -72265 + (-55951) = -128216", "Multiply: 15416 * (-128216) = -1976577856", "Add: 4921 + (-5302) = -381", "Multiply: -1976577856 * (-381) = 753076163136"], "final_answer": "753076163136", "answer_type": "integer", "kind": "expression", "math_text": "15416 * (-72265 + (-55951)) * (4921 + (-5302))", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15416, \"b\": -72265, \"c\": -55951, \"d\": 4921, \"e\": -5302}", "seed": "9099739106019137093", "semantic_fingerprint": "sha256:7f9e27c43d3c8a5734856422cb039ab70b1f8ef9ba9ce46f7628bb23ade6536e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000476", "prompt": "Compute: -9091 + (9004 + 4962)", "solution_steps": ["Add: 9004 + 4962 = 13966", "Add: -9091 + 13966 = 4875"], "final_answer": "4875", "answer_type": "integer", "kind": "expression", "math_text": "-9091 + (9004 + 4962)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9091, \"b\": 9004, \"c\": 4962}", "seed": "5782928175351008623", "semantic_fingerprint": "sha256:2f8734a37210a60f95e2889ce503a36bfb2fbf8f74215189f0eaa711069512d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000477", "prompt": "Compute: -6107 / (-45976 / (12111 - (-8414)))", "solution_steps": ["Subtract: 12111 - (-8414) = 20525", "Divide: -45976 / 20525 = -56/25", "Divide: -6107 / (-56/25) = 152675/56"], "final_answer": "152675/56", "answer_type": "rational", "kind": "expression", "math_text": "-6107 / (-45976 / (12111 - (-8414)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6107, \"b\": -45976, \"c\": 12111, \"d\": -8414}", "seed": "10792037703660063850", "semantic_fingerprint": "sha256:db2ca810a11c4f97e22e2bf98d6c30dc8f661f5c704ba2dd4e7055944b821d3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000478", "prompt": "Evaluate: -56310 + (-1453) / 81320", "solution_steps": ["Divide: -1453 / 81320 = -1453/81320", "Add: -56310 + (-1453/81320) = -4579130653/81320"], "final_answer": "-4579130653/81320", "answer_type": "rational", "kind": "expression", "math_text": "-56310 + (-1453) / 81320", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -56310, \"b\": -1453, \"c\": 81320}", "seed": "16944432430315617435", "semantic_fingerprint": "sha256:fe118b9398ebbde7aa68bd422a8a9c9406de95457e65f6aa0ea9ad19c1517d97", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000479", "prompt": "What is (5281 + 9272) * (-4639 / (-3372))?", "solution_steps": ["Add: 5281 + 9272 = 14553", "Divide: -4639 / (-3372) = 4639/3372", "Multiply: 14553 * (4639/3372) = 22503789/1124"], "final_answer": "22503789/1124", "answer_type": "rational", "kind": "expression", "math_text": "(5281 + 9272) * (-4639 / (-3372))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5281, \"b\": 9272, \"c\": -4639, \"d\": -3372}", "seed": "17997200943161927980", "semantic_fingerprint": "sha256:29f4d5a51aa321fd4b601e1062065edb8db28d018d95d4f68bc82fc2c2bdcd61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000480", "prompt": "Solve for x: 15(x + 6918) = 14(x + 7729)", "solution_steps": ["Expand: 15x + 103770 = 14(x + 7729)", "Expand: 15x + 103770 = 14x + 108206", "Subtract 14x from both sides: x + 103770 = 108206", "Subtract 103770 from both sides: x = 4436"], "final_answer": "4436", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 6918) = 14(x + 7729)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 6918, \"c\": 14, \"d\": 7729}", "seed": "13335259752283702364", "semantic_fingerprint": "sha256:66f8c06d1aef736d46edf4ce1233779def532e9552d6c60a6959b093ebdef513", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000481", "prompt": "What value of x satisfies 18(x + 8987) + 6790 = 21(x + 4600) + 72259?", "solution_steps": ["Expand: 18x + 161766 + 6790 = 21(x + 4600) + 72259", "Expand: 18x + 161766 + 6790 = 21x + 96600 + 72259", "Combine constants: 18x + 168556 = 21x + 96600 + 72259", "Combine constants: 18x + 168556 = 21x + 168859", "Subtract 21x from both sides: -3x + 168556 = 168859", "Subtract 168556 from both sides: -3x = 303", "Divide both sides by -3: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 8987) + 6790 = 21(x + 4600) + 72259", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 8987, \"c\": 6790, \"d\": 21, \"e\": 4600, \"g\": 72259, \"x\": -101}", "seed": "10029900464348391183", "semantic_fingerprint": "sha256:baeb1cff7e898b050a4acd520e54dd42dea2a869e3bfad901855d44dacb99a79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000482", "prompt": "What is -3208 / (-8828)?", "solution_steps": ["Divide: -3208 / (-8828) = 802/2207"], "final_answer": "802/2207", "answer_type": "rational", "kind": "expression", "math_text": "-3208 / (-8828)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3208, \"b\": -8828}", "seed": "11889271022463108961", "semantic_fingerprint": "sha256:4772dbb7bd9f49a789dd23f4928b101e5cbcdf01bac1e2857d52931d14023ab8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000483", "prompt": "Evaluate: (-8445 - (-1791)) * (1591 + 57027)", "solution_steps": ["Subtract: -8445 - (-1791) = -6654", "Add: 1591 + 57027 = 58618", "Multiply: -6654 * 58618 = -390044172"], "final_answer": "-390044172", "answer_type": "integer", "kind": "expression", "math_text": "(-8445 - (-1791)) * (1591 + 57027)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8445, \"b\": -1791, \"c\": 1591, \"d\": 57027}", "seed": "7161299786367882490", "semantic_fingerprint": "sha256:01466c699aa91d198bca26430eafc3695587fc82ade846ce9dd1fec815370d8f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000484", "prompt": "What is 18932 + (-26313)?", "solution_steps": ["Add: 18932 + (-26313) = -7381"], "final_answer": "-7381", "answer_type": "integer", "kind": "expression", "math_text": "18932 + (-26313)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 18932, \"b\": -26313}", "seed": "8539937960498971484", "semantic_fingerprint": "sha256:d66e93b0e1b74a59fa5f860de0769bfa9785b694fd99547abb35a1a065b5a7f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000485", "prompt": "Compute: (-30204 + (-64373)) * (-5714)", "solution_steps": ["Add: -30204 + (-64373) = -94577", "Multiply: -94577 * (-5714) = 540412978"], "final_answer": "540412978", "answer_type": "integer", "kind": "expression", "math_text": "(-30204 + (-64373)) * (-5714)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30204, \"b\": -64373, \"c\": -5714}", "seed": "5856298438165970543", "semantic_fingerprint": "sha256:40fc64da952d796410cd11eeaa2b5aa6b0129f2e43734b92c6d7eb949226f3c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000486", "prompt": "Evaluate: 7130 + (-1227)", "solution_steps": ["Add: 7130 + (-1227) = 5903"], "final_answer": "5903", "answer_type": "integer", "kind": "expression", "math_text": "7130 + (-1227)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7130, \"b\": -1227}", "seed": "18370771562126536563", "semantic_fingerprint": "sha256:8967175fb6e88f7fb2803f638457f23f6e5c72997b2019fb03e2ad6d8415dd9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000487", "prompt": "What is 14071 - (-7398) + 7555?", "solution_steps": ["Subtract: 14071 - (-7398) = 21469", "Add: 21469 + 7555 = 29024"], "final_answer": "29024", "answer_type": "integer", "kind": "expression", "math_text": "14071 - (-7398) + 7555", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14071, \"b\": -7398, \"c\": 7555}", "seed": "18098257835802336402", "semantic_fingerprint": "sha256:714542f215093eda4d2db075b14fc253e2cf7f61d25e5fa240023fb04309da5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000488", "prompt": "What is -6314 * 7015?", "solution_steps": ["Multiply: -6314 * 7015 = -44292710"], "final_answer": "-44292710", "answer_type": "integer", "kind": "expression", "math_text": "-6314 * 7015", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6314, \"b\": 7015}", "seed": "6417499609793649444", "semantic_fingerprint": "sha256:e91e7dd00fdacfba3aef5efd1b9baa6947b5eaecf64085f990ae82f6d993c573", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000489", "prompt": "Calculate: (25970 - (-4779)) / 9382 - (-3015)", "solution_steps": ["Subtract: 25970 - (-4779) = 30749", "Divide: 30749 / 9382 = 30749/9382", "Subtract: 30749/9382 - (-3015) = 28317479/9382"], "final_answer": "28317479/9382", "answer_type": "rational", "kind": "expression", "math_text": "(25970 - (-4779)) / 9382 - (-3015)", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25970, \"b\": -4779, \"c\": 9382, \"d\": -3015}", "seed": "15187945211234474808", "semantic_fingerprint": "sha256:86d60f4ba278184d36923664b21d2f88341a9478d7b791339bda4f7a99bb47e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000490", "prompt": "Find x: x = -35(x - 6178)", "solution_steps": ["Expand: x = -35x + 216230", "Add 35x to both sides: 36x = 216230", "Divide both sides by 36: x = 108115/18"], "final_answer": "108115/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -35(x - 6178)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 6178}", "seed": "17939960301677348641", "semantic_fingerprint": "sha256:f652f513e7baef4afb8c4e7f216d08d38d435b1e4b14c14d08fa8f6d70f8db61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000491", "prompt": "Compute: (-58168 + (-51233)) * (-7987 - 22269) + 7826", "solution_steps": ["Add: -58168 + (-51233) = -109401", "Subtract: -7987 - 22269 = -30256", "Multiply: -109401 * (-30256) = 3310036656", "Add: 3310036656 + 7826 = 3310044482"], "final_answer": "3310044482", "answer_type": "integer", "kind": "expression", "math_text": "(-58168 + (-51233)) * (-7987 - 22269) + 7826", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -58168, \"b\": -51233, \"c\": -7987, \"d\": 22269, \"e\": 7826}", "seed": "13577235517249457396", "semantic_fingerprint": "sha256:37194d885b3ee1c45519e883d36b283d19c8ffd00b1a29b019d3ee06bb9423d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000492", "prompt": "Calculate: -3184 * (-23483) + 80457", "solution_steps": ["Multiply: -3184 * (-23483) = 74769872", "Add: 74769872 + 80457 = 74850329"], "final_answer": "74850329", "answer_type": "integer", "kind": "expression", "math_text": "-3184 * (-23483) + 80457", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3184, \"b\": -23483, \"c\": 80457}", "seed": "17124581865011664093", "semantic_fingerprint": "sha256:f585382f53a37d9d5d644ff16075b1c0e41b13d5ba7eea8fe8cbafec921e7c82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000493", "prompt": "Evaluate: (-66888 * (-3974 / (-25112)) - (-40399)) * (-5029)", "solution_steps": ["Divide: -3974 / (-25112) = 1987/12556", "Multiply: -66888 * (1987/12556) = -33226614/3139", "Subtract: -33226614/3139 - (-40399) = 93585847/3139", "Multiply: (93585847/3139) * (-5029) = -470643224563/3139"], "final_answer": "-470643224563/3139", "answer_type": "rational", "kind": "expression", "math_text": "(-66888 * (-3974 / (-25112)) - (-40399)) * (-5029)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -66888, \"b\": -3974, \"c\": -25112, \"d\": -40399, \"e\": -5029}", "seed": "15456179440347697751", "semantic_fingerprint": "sha256:49d395fe8783f14a0a033bcc38cdac9337ab7f9f19b03858bfdf592e21c68895", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000494", "prompt": "What value of x satisfies 21(x - 5158) + 5868 = 24x?", "solution_steps": ["Expand: 21x - 108318 + 5868 = 24x", "Combine constants: 21x - 102450 = 24x", "Subtract 24x from both sides: -3x - 102450 = 0", "Add 102450 to both sides: -3x = 102450", "Divide both sides by -3: x = -34150"], "final_answer": "-34150", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 5158) + 5868 = 24x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 5158, \"c\": 5868, \"d\": 24}", "seed": "12049102387527838047", "semantic_fingerprint": "sha256:4e938c19c53ca4b6be33ef6e2933407e75d78bd90e277a3c9460b2e68d4657cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000495", "prompt": "What is 5431 + (-74313)?", "solution_steps": ["Add: 5431 + (-74313) = -68882"], "final_answer": "-68882", "answer_type": "integer", "kind": "expression", "math_text": "5431 + (-74313)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5431, \"b\": -74313}", "seed": "11729195690829223119", "semantic_fingerprint": "sha256:f96f2c539c5e34ef63d8b0f64d0a3e99e3e4a0ec2cbcc73822e78538ae3710f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000496", "prompt": "Find x: x - 6230 = 24x - 10623", "solution_steps": ["Subtract 24x from both sides: -23x - 6230 = -10623", "Add 6230 to both sides: -23x = -4393", "Divide both sides by -23: x = 191"], "final_answer": "191", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6230 = 24x - 10623", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6230, \"b\": 24, \"d\": -10623, \"x\": 191}", "seed": "17036333759702600879", "semantic_fingerprint": "sha256:4f4fd8fffc84ddae3f08567ba457ca7df3663174194462c660a1819b8ebd2593", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000497", "prompt": "Compute: -5664 / (-2509 + 89414)", "solution_steps": ["Add: -2509 + 89414 = 86905", "Divide: -5664 / 86905 = -5664/86905"], "final_answer": "-5664/86905", "answer_type": "rational", "kind": "expression", "math_text": "-5664 / (-2509 + 89414)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5664, \"b\": -2509, \"c\": 89414}", "seed": "1263996116725522957", "semantic_fingerprint": "sha256:24ad0809ec891217798ae8484541e08ba9c05ec7d8c067616f9597f838faecb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000498", "prompt": "What is (5057 + (-2537)) * (-8492)?", "solution_steps": ["Add: 5057 + (-2537) = 2520", "Multiply: 2520 * (-8492) = -21399840"], "final_answer": "-21399840", "answer_type": "integer", "kind": "expression", "math_text": "(5057 + (-2537)) * (-8492)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5057, \"b\": -2537, \"c\": -8492}", "seed": "15216423848908592293", "semantic_fingerprint": "sha256:6e5a14bf5a48ae4ea35492cb2a33114ef1d3c2d8046ea1250817498e685bcd49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000499", "prompt": "What is -4105 - (-6458 + 4415 - (-73564) / 12399) + (-7199)?", "solution_steps": ["Add: -6458 + 4415 = -2043", "Divide: -73564 / 12399 = -73564/12399", "Subtract: -2043 - (-73564/12399) = -25257593/12399", "Subtract: -4105 - (-25257593/12399) = -25640302/12399", "Add: -25640302/12399 + (-7199) = -114900703/12399"], "final_answer": "-114900703/12399", "answer_type": "rational", "kind": "expression", "math_text": "-4105 - (-6458 + 4415 - (-73564) / 12399) + (-7199)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- (+ n n) (/ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4105, \"b\": -6458, \"c\": 4415, \"d\": -73564, \"e\": 12399, \"f\": -7199}", "seed": "2814287985337411324", "semantic_fingerprint": "sha256:0ae23532f88259d8a80476608e99397f01aba3f578f5a5f1c81b088ddc04f2ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000500", "prompt": "Evaluate: (55983 - (-6882 - 5838)) * 12109", "solution_steps": ["Subtract: -6882 - 5838 = -12720", "Subtract: 55983 - (-12720) = 68703", "Multiply: 68703 * 12109 = 831924627"], "final_answer": "831924627", "answer_type": "integer", "kind": "expression", "math_text": "(55983 - (-6882 - 5838)) * 12109", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 55983, \"b\": -6882, \"c\": 5838, \"d\": 12109}", "seed": "7217513725008522627", "semantic_fingerprint": "sha256:25854879d0232e5600270ee68df0d298f3d846c8542aa754419b4335c12ff74e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000501", "prompt": "Compute: (7437 + 8656 - (-57673)) * (9964 - 9481)", "solution_steps": ["Add: 7437 + 8656 = 16093", "Subtract: 16093 - (-57673) = 73766", "Subtract: 9964 - 9481 = 483", "Multiply: 73766 * 483 = 35628978"], "final_answer": "35628978", "answer_type": "integer", "kind": "expression", "math_text": "(7437 + 8656 - (-57673)) * (9964 - 9481)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7437, \"b\": 8656, \"c\": -57673, \"d\": 9964, \"e\": 9481}", "seed": "14063311030847282334", "semantic_fingerprint": "sha256:45d8917ae1a26f94f457d4079defb368d77ecc99231dce7ec442acfe10c036ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000502", "prompt": "What value of x satisfies x - 7326 = -7282?", "solution_steps": ["Add 7326 to both sides: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7326 = -7282", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7326, \"c\": -7282, \"x\": 44}", "seed": "7796939925960514153", "semantic_fingerprint": "sha256:1e058a172e23ca0b88924a688eb26c301e3772037409c8dd52c265e5d55ee72f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000503", "prompt": "Find x: -31x = -34(x + 19366)", "solution_steps": ["Expand: -31x = -34x - 658444", "Add 34x to both sides: 3x = -658444", "Divide both sides by 3: x = -658444/3"], "final_answer": "-658444/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x = -34(x + 19366)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": -34, \"c\": 19366}", "seed": "3345691551562311491", "semantic_fingerprint": "sha256:b1bc55d3b9250053943720568aca7c8790f87d0f1ea87d2c0a2c4e6e69d06206", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000504", "prompt": "Solve the equation -21(x + 2551) + 45752 = -6538 for x.", "solution_steps": ["Expand: -21x - 53571 + 45752 = -6538", "Combine constants: -21x - 7819 = -6538", "Add 7819 to both sides: -21x = 1281", "Divide both sides by -21: x = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21(x + 2551) + 45752 = -6538", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 2551, \"c\": 45752, \"e\": -6538, \"x\": -61}", "seed": "6292309035585716476", "semantic_fingerprint": "sha256:cbe29d7ec2f249110a2e641920248cfdd3a635ff0d5d8eb007f2c16d15e2d20d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000505", "prompt": "What is -75254 + 12508 * 5410 * (82993 / 28456)?", "solution_steps": ["Multiply: 12508 * 5410 = 67668280", "Divide: 82993 / 28456 = 82993/28456", "Multiply: 67668280 * (82993/28456) = 701999195255/3557", "Add: -75254 + 701999195255/3557 = 701731516777/3557"], "final_answer": "701731516777/3557", "answer_type": "rational", "kind": "expression", "math_text": "-75254 + 12508 * 5410 * (82993 / 28456)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -75254, \"b\": 12508, \"c\": 5410, \"d\": 82993, \"e\": 28456}", "seed": "6912393088369497718", "semantic_fingerprint": "sha256:3df95c7482675dbf16a75798f15fc50f81df07c2719ba3b9520ab10e7ee36caf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000506", "prompt": "Compute: -80734 - (-79150)", "solution_steps": ["Subtract: -80734 - (-79150) = -1584"], "final_answer": "-1584", "answer_type": "integer", "kind": "expression", "math_text": "-80734 - (-79150)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -80734, \"b\": -79150}", "seed": "3843350661702748060", "semantic_fingerprint": "sha256:1e7af904040aa6da46ada1f05f61424c0f153bff80009c13afb4f392025e2c9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000507", "prompt": "Calculate: (-83588 - 46185 - (-23631)) * (3020 * (-1885))", "solution_steps": ["Subtract: -83588 - 46185 = -129773", "Subtract: -129773 - (-23631) = -106142", "Multiply: 3020 * (-1885) = -5692700", "Multiply: -106142 * (-5692700) = 604234563400"], "final_answer": "604234563400", "answer_type": "integer", "kind": "expression", "math_text": "(-83588 - 46185 - (-23631)) * (3020 * (-1885))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -83588, \"b\": 46185, \"c\": -23631, \"d\": 3020, \"e\": -1885}", "seed": "4746716093357436355", "semantic_fingerprint": "sha256:c2ec6367e18ce78dbcad3781198a6d30ca84f0370dfe750d8b181aa5c91f923c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000508", "prompt": "Calculate: 52903 / (28845 + (-2169)) + (6153 - 70513) + (-86929)", "solution_steps": ["Add: 28845 + (-2169) = 26676", "Divide: 52903 / 26676 = 52903/26676", "Subtract: 6153 - 70513 = -64360", "Add: 52903/26676 + (-64360) = -1716814457/26676", "Add: -1716814457/26676 + (-86929) = -4035732461/26676"], "final_answer": "-4035732461/26676", "answer_type": "rational", "kind": "expression", "math_text": "52903 / (28845 + (-2169)) + (6153 - 70513) + (-86929)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n (+ n n)) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 52903, \"b\": 28845, \"c\": -2169, \"d\": 6153, \"e\": 70513, \"f\": -86929}", "seed": "10322131420305646113", "semantic_fingerprint": "sha256:aaa4ab933187aa91e9134240f080651cf0ce82216736a313bb3bcfac0ef2258d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000509", "prompt": "Evaluate: 7706 + (-6896) - 7848 - (-37643)", "solution_steps": ["Add: 7706 + (-6896) = 810", "Subtract: 810 - 7848 = -7038", "Subtract: -7038 - (-37643) = 30605"], "final_answer": "30605", "answer_type": "integer", "kind": "expression", "math_text": "7706 + (-6896) - 7848 - (-37643)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7706, \"b\": -6896, \"c\": 7848, \"d\": -37643}", "seed": "11700553778604507182", "semantic_fingerprint": "sha256:bc13225ce83be131dba7af81ba51a9fa7f3addab02adad4ddeec2764b3076d2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000510", "prompt": "Solve for x: -16x - 4751 = -4383", "solution_steps": ["Add 4751 to both sides: -16x = 368", "Divide both sides by -16: x = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x - 4751 = -4383", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 4751, \"d\": -4383, \"x\": -23}", "seed": "14992122222437327919", "semantic_fingerprint": "sha256:2ed07c700fc8201cbc890b72296b425099d06890e393d98c5a24df66f4fbd2d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000511", "prompt": "Evaluate: 6239 / 6768", "solution_steps": ["Divide: 6239 / 6768 = 6239/6768"], "final_answer": "6239/6768", "answer_type": "rational", "kind": "expression", "math_text": "6239 / 6768", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6239, \"b\": 6768}", "seed": "6768218532072143215", "semantic_fingerprint": "sha256:10316152097294c96054892fcee45e265ae086ad9eb14400fe5ddd1d16180fd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000512", "prompt": "Solve the equation x + 5638 = 15(x - 5441) + 84621 for x.", "solution_steps": ["Expand: x + 5638 = 15x - 81615 + 84621", "Combine constants: x + 5638 = 15x + 3006", "Subtract 15x from both sides: -14x + 5638 = 3006", "Subtract 5638 from both sides: -14x = -2632", "Divide both sides by -14: x = 188"], "final_answer": "188", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5638 = 15(x - 5441) + 84621", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5638, \"b\": 15, \"c\": 5441, \"e\": 84621, \"x\": 188}", "seed": "10751796827047680963", "semantic_fingerprint": "sha256:770d384736e9480569da63f6fd8d77b02a5b4593ba2a852af2dbf5934d5fcbfe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000513", "prompt": "Evaluate: -72993 + (4813 - 82328) - (-9602)", "solution_steps": ["Subtract: 4813 - 82328 = -77515", "Add: -72993 + (-77515) = -150508", "Subtract: -150508 - (-9602) = -140906"], "final_answer": "-140906", "answer_type": "integer", "kind": "expression", "math_text": "-72993 + (4813 - 82328) - (-9602)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -72993, \"b\": 4813, \"c\": 82328, \"d\": -9602}", "seed": "17858954153422413383", "semantic_fingerprint": "sha256:a9d130bff12c45d6b32788c247819557d53332ecf6e8eef34660c84253899a46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000514", "prompt": "Evaluate: 39254 * 6737 - 27976", "solution_steps": ["Multiply: 39254 * 6737 = 264454198", "Subtract: 264454198 - 27976 = 264426222"], "final_answer": "264426222", "answer_type": "integer", "kind": "expression", "math_text": "39254 * 6737 - 27976", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39254, \"b\": 6737, \"c\": 27976}", "seed": "9659466625108261965", "semantic_fingerprint": "sha256:61d5be2c23a6e4b30ccc267a0bdbd9f0791d0eea7009b554d8aa6588b217f0b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000515", "prompt": "Evaluate: -75102 + (-8634) + 8469", "solution_steps": ["Add: -75102 + (-8634) = -83736", "Add: -83736 + 8469 = -75267"], "final_answer": "-75267", "answer_type": "integer", "kind": "expression", "math_text": "-75102 + (-8634) + 8469", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75102, \"b\": -8634, \"c\": 8469}", "seed": "14185382296800181198", "semantic_fingerprint": "sha256:e3788796986eaca045bfecdb9056b93f9a9c18deb055960a611f9f106ef9fbb5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000516", "prompt": "Compute: -49753 + 8993", "solution_steps": ["Add: -49753 + 8993 = -40760"], "final_answer": "-40760", "answer_type": "integer", "kind": "expression", "math_text": "-49753 + 8993", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -49753, \"b\": 8993}", "seed": "9812794588142572054", "semantic_fingerprint": "sha256:ec5e9825b08cc4e7b9b63cf2bd642460428b8d8e7f9fbe15fd9624caba1447d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000517", "prompt": "What is 6950 + (8361 + (6736 * (-9201) - (-8712)))?", "solution_steps": ["Multiply: 6736 * (-9201) = -61977936", "Subtract: -61977936 - (-8712) = -61969224", "Add: 8361 + (-61969224) = -61960863", "Add: 6950 + (-61960863) = -61953913"], "final_answer": "-61953913", "answer_type": "integer", "kind": "expression", "math_text": "6950 + (8361 + (6736 * (-9201) - (-8712)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (- (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6950, \"b\": 8361, \"c\": 6736, \"d\": -9201, \"e\": -8712}", "seed": "10725018573353451376", "semantic_fingerprint": "sha256:4da58a13c3e8cd072b165721cc81e021cadd715c461f6ce832c5c269b652de52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000518", "prompt": "What value of x satisfies x + 9459 = 23x + 6027?", "solution_steps": ["Subtract 23x from both sides: -22x + 9459 = 6027", "Subtract 9459 from both sides: -22x = -3432", "Divide both sides by -22: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9459 = 23x + 6027", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9459, \"b\": 23, \"d\": 6027, \"x\": 156}", "seed": "1293860397285614906", "semantic_fingerprint": "sha256:0b1903f78188ac604009c5c19e1d1597b1ac776d8e41ef364b1752227650b63d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000519", "prompt": "What is -9929 - (-7803 - (-3921) + (-8657) + (-4148) * 53774)?", "solution_steps": ["Subtract: -7803 - (-3921) = -3882", "Add: -3882 + (-8657) = -12539", "Multiply: -4148 * 53774 = -223054552", "Add: -12539 + (-223054552) = -223067091", "Subtract: -9929 - (-223067091) = 223057162"], "final_answer": "223057162", "answer_type": "integer", "kind": "expression", "math_text": "-9929 - (-7803 - (-3921) + (-8657) + (-4148) * 53774)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (- n n) n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9929, \"b\": -7803, \"c\": -3921, \"d\": -8657, \"e\": -4148, \"f\": 53774}", "seed": "11377086317889398941", "semantic_fingerprint": "sha256:8fe68af1318336e418e1e2d7efddaac4329fbca017e37ed0f013c66a3a6fa46d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000520", "prompt": "Evaluate: 94189 - (-8665)", "solution_steps": ["Subtract: 94189 - (-8665) = 102854"], "final_answer": "102854", "answer_type": "integer", "kind": "expression", "math_text": "94189 - (-8665)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 94189, \"b\": -8665}", "seed": "14247349020835104467", "semantic_fingerprint": "sha256:8f865b0584aff4867699a5d2144ef360cc7ab9a61d8e855d8db8769906529cf9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000521", "prompt": "What value of x satisfies -23(x + 8698) - 6579 = x?", "solution_steps": ["Expand: -23x - 200054 - 6579 = x", "Combine constants: -23x - 206633 = x", "Subtract x from both sides: -24x - 206633 = 0", "Add 206633 to both sides: -24x = 206633", "Divide both sides by -24: x = -206633/24"], "final_answer": "-206633/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 8698) - 6579 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 8698, \"c\": 6579}", "seed": "3091723230580751319", "semantic_fingerprint": "sha256:928dbc4834de99ffae94a6c93639f7affda325de2a688034a36c54869700e170", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000522", "prompt": "Calculate: 1787 / 39655 - (-5724 + (-2200)) + (6980 - (-40283))", "solution_steps": ["Divide: 1787 / 39655 = 1787/39655", "Add: -5724 + (-2200) = -7924", "Subtract: 1787/39655 - (-7924) = 314228007/39655", "Subtract: 6980 - (-40283) = 47263", "Add: 314228007/39655 + 47263 = 2188442272/39655"], "final_answer": "2188442272/39655", "answer_type": "rational", "kind": "expression", "math_text": "1787 / 39655 - (-5724 + (-2200)) + (6980 - (-40283))", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1787, \"b\": 39655, \"c\": -5724, \"d\": -2200, \"e\": 6980, \"f\": -40283}", "seed": "10268467576418532701", "semantic_fingerprint": "sha256:fdba128dabe926b6cec74a7660b41d5fe8f661fd4203aa63f5d28805a9f2bd52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000523", "prompt": "Solve for x: 31(x + 3146) = 86565", "solution_steps": ["Expand: 31x + 97526 = 86565", "Subtract 97526 from both sides: 31x = -10961", "Divide both sides by 31: x = -10961/31"], "final_answer": "-10961/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 3146) = 86565", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 3146, \"c\": 86565}", "seed": "7734368465355532310", "semantic_fingerprint": "sha256:d0dec6bcc39da2da5da98c92994bbaa4737fea9cadc541a6c771b57087c09384", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000524", "prompt": "Calculate: -3215 + 2266 / (-2712)", "solution_steps": ["Divide: 2266 / (-2712) = -1133/1356", "Add: -3215 + (-1133/1356) = -4360673/1356"], "final_answer": "-4360673/1356", "answer_type": "rational", "kind": "expression", "math_text": "-3215 + 2266 / (-2712)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3215, \"b\": 2266, \"c\": -2712}", "seed": "5340788470793553405", "semantic_fingerprint": "sha256:843a931ca50c089ad2ecdbfbf45027d1a4a005d28cef9b5aa10effe6163ee1ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000525", "prompt": "Compute: 8154 * (-9956 - 4374)", "solution_steps": ["Subtract: -9956 - 4374 = -14330", "Multiply: 8154 * (-14330) = -116846820"], "final_answer": "-116846820", "answer_type": "integer", "kind": "expression", "math_text": "8154 * (-9956 - 4374)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8154, \"b\": -9956, \"c\": 4374}", "seed": "2013165601328285537", "semantic_fingerprint": "sha256:5c9c87bff6fe258be6e14662a134be66c52160b1d0a93cfdae2a0caf4bac04cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000526", "prompt": "Calculate: -76010 - 6582", "solution_steps": ["Subtract: -76010 - 6582 = -82592"], "final_answer": "-82592", "answer_type": "integer", "kind": "expression", "math_text": "-76010 - 6582", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -76010, \"b\": 6582}", "seed": "18251725049604794151", "semantic_fingerprint": "sha256:b30b62af551545e79bd0bf5ef0f607a11eec3b1b90afb66ae93886ef967ab4e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000527", "prompt": "Calculate: -4325 + 2466", "solution_steps": ["Add: -4325 + 2466 = -1859"], "final_answer": "-1859", "answer_type": "integer", "kind": "expression", "math_text": "-4325 + 2466", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4325, \"b\": 2466}", "seed": "15239113386478310798", "semantic_fingerprint": "sha256:2bcc7039cb3babfff29b1042ed7f496c75fd8018362d569d84dc218691123900", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000528", "prompt": "Evaluate: 8926 + (-51441) * (-45219 / (-15408))", "solution_steps": ["Divide: -45219 / (-15408) = 15073/5136", "Multiply: -51441 * (15073/5136) = -258456731/1712", "Add: 8926 + (-258456731/1712) = -243175419/1712"], "final_answer": "-243175419/1712", "answer_type": "rational", "kind": "expression", "math_text": "8926 + (-51441) * (-45219 / (-15408))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8926, \"b\": -51441, \"c\": -45219, \"d\": -15408}", "seed": "137024103613701235", "semantic_fingerprint": "sha256:9c591d199fe017bd1f403b15f031328a9595865a11d035306d97c91c7729500e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000529", "prompt": "Solve for x: x - 2716 = -13x", "solution_steps": ["Add 13x to both sides: 14x - 2716 = 0", "Add 2716 to both sides: 14x = 2716", "Divide both sides by 14: x = 194"], "final_answer": "194", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2716 = -13x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13, \"c\": -2716, \"x\": 194}", "seed": "14436576658523290783", "semantic_fingerprint": "sha256:b5b38f7f85bd10f0bc459c58272b8af96ab161eca89cbd3fd030cbedc001fc28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000530", "prompt": "Calculate: -3371 - (-1976) * 3865 + 80134", "solution_steps": ["Multiply: -1976 * 3865 = -7637240", "Subtract: -3371 - (-7637240) = 7633869", "Add: 7633869 + 80134 = 7714003"], "final_answer": "7714003", "answer_type": "integer", "kind": "expression", "math_text": "-3371 - (-1976) * 3865 + 80134", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3371, \"b\": -1976, \"c\": 3865, \"d\": 80134}", "seed": "11651514083769522286", "semantic_fingerprint": "sha256:ba24032d865ed4ce3abe7a8de195f48d0aa14650b25a7578c09758ba3cf3a7c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000531", "prompt": "Calculate: 81795 * (8466 - (-48086 - 75963))", "solution_steps": ["Subtract: -48086 - 75963 = -124049", "Subtract: 8466 - (-124049) = 132515", "Multiply: 81795 * 132515 = 10839064425"], "final_answer": "10839064425", "answer_type": "integer", "kind": "expression", "math_text": "81795 * (8466 - (-48086 - 75963))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 81795, \"b\": 8466, \"c\": -48086, \"d\": 75963}", "seed": "11802194609197385989", "semantic_fingerprint": "sha256:caa66fd675e76d57628125adc064b7c50be8ffa18c69ef12c4d8fed5ee3ab2ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000532", "prompt": "Calculate: -92555 / 7446", "solution_steps": ["Divide: -92555 / 7446 = -92555/7446"], "final_answer": "-92555/7446", "answer_type": "rational", "kind": "expression", "math_text": "-92555 / 7446", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -92555, \"b\": 7446}", "seed": "425457222184122634", "semantic_fingerprint": "sha256:9f0091819e6ccc905176aa471969be9290a553b6b67b73708bb3afc8b5b525e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000533", "prompt": "Compute: 20743 * (7936 + (-9228 - (-6018) - 6275))", "solution_steps": ["Subtract: -9228 - (-6018) = -3210", "Subtract: -3210 - 6275 = -9485", "Add: 7936 + (-9485) = -1549", "Multiply: 20743 * (-1549) = -32130907"], "final_answer": "-32130907", "answer_type": "integer", "kind": "expression", "math_text": "20743 * (7936 + (-9228 - (-6018) - 6275))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (- (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20743, \"b\": 7936, \"c\": -9228, \"d\": -6018, \"e\": 6275}", "seed": "9622378895297820319", "semantic_fingerprint": "sha256:4edad268aee6fb612034af756b437870ecb34808992bac95d528a0c407a9a356", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000534", "prompt": "Calculate: -2909 * (-8892 + (-55145))", "solution_steps": ["Add: -8892 + (-55145) = -64037", "Multiply: -2909 * (-64037) = 186283633"], "final_answer": "186283633", "answer_type": "integer", "kind": "expression", "math_text": "-2909 * (-8892 + (-55145))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2909, \"b\": -8892, \"c\": -55145}", "seed": "3478448421867014465", "semantic_fingerprint": "sha256:ad903629e4b28744f7a10fd8373f31045de3fed8a393ad1f389e75b58e000ae8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000535", "prompt": "Solve the equation 17x + 60785 = 39(x + 1404) + 5413 for x.", "solution_steps": ["Expand: 17x + 60785 = 39x + 54756 + 5413", "Combine constants: 17x + 60785 = 39x + 60169", "Subtract 39x from both sides: -22x + 60785 = 60169", "Subtract 60785 from both sides: -22x = -616", "Divide both sides by -22: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 60785 = 39(x + 1404) + 5413", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 60785, \"c\": 39, \"d\": 1404, \"f\": 5413, \"x\": 28}", "seed": "16439091750294631658", "semantic_fingerprint": "sha256:b9c99b5c9b54fc482526e4bef30633ae93a0a54dbc73242b74d011fe2c2a484b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000536", "prompt": "Evaluate: -3370 * (6314 + 4555) + 98569", "solution_steps": ["Add: 6314 + 4555 = 10869", "Multiply: -3370 * 10869 = -36628530", "Add: -36628530 + 98569 = -36529961"], "final_answer": "-36529961", "answer_type": "integer", "kind": "expression", "math_text": "-3370 * (6314 + 4555) + 98569", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3370, \"b\": 6314, \"c\": 4555, \"d\": 98569}", "seed": "16564302757214258645", "semantic_fingerprint": "sha256:004f1c83eae5d5b963e7bdaad53fd4962cbf101f3a0082269fbe3ab288288985", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000537", "prompt": "Evaluate: -2915 + 41508 + (75114 * (-2461) - (-6562))", "solution_steps": ["Add: -2915 + 41508 = 38593", "Multiply: 75114 * (-2461) = -184855554", "Subtract: -184855554 - (-6562) = -184848992", "Add: 38593 + (-184848992) = -184810399"], "final_answer": "-184810399", "answer_type": "integer", "kind": "expression", "math_text": "-2915 + 41508 + (75114 * (-2461) - (-6562))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2915, \"b\": 41508, \"c\": 75114, \"d\": -2461, \"e\": -6562}", "seed": "12431918000499331062", "semantic_fingerprint": "sha256:414e2eb312dd4042d4d7bd063ae7b1944294f8811c54d95cade96a7e59d19bac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000538", "prompt": "Compute: 9231 + (-7619) - (57304 * 76060 + (-90597) * (-3284))", "solution_steps": ["Add: 9231 + (-7619) = 1612", "Multiply: 57304 * 76060 = 4358542240", "Multiply: -90597 * (-3284) = 297520548", "Add: 4358542240 + 297520548 = 4656062788", "Subtract: 1612 - 4656062788 = -4656061176"], "final_answer": "-4656061176", "answer_type": "integer", "kind": "expression", "math_text": "9231 + (-7619) - (57304 * 76060 + (-90597) * (-3284))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (* n n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9231, \"b\": -7619, \"c\": 57304, \"d\": 76060, \"e\": -90597, \"f\": -3284}", "seed": "9062096719619489710", "semantic_fingerprint": "sha256:2a728a0165b2068bccfe2826863cbf62edb53eca4b17f836ba5e4633d6a7eb40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000539", "prompt": "Evaluate: 4708 - (-5797)", "solution_steps": ["Subtract: 4708 - (-5797) = 10505"], "final_answer": "10505", "answer_type": "integer", "kind": "expression", "math_text": "4708 - (-5797)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4708, \"b\": -5797}", "seed": "8366327138720265817", "semantic_fingerprint": "sha256:12892a1f4b41fc37bac46df58c0817f39b4d39b56338e8d2287fc5b4e653adf5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000540", "prompt": "Calculate: 38571 - 52476", "solution_steps": ["Subtract: 38571 - 52476 = -13905"], "final_answer": "-13905", "answer_type": "integer", "kind": "expression", "math_text": "38571 - 52476", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 38571, \"b\": 52476}", "seed": "8731408115978846442", "semantic_fingerprint": "sha256:3f91b194a50cc92722b92d9f9c70c1c937b3d65a45ff243c0633b4ef8e33b941", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000541", "prompt": "Calculate: -5228 / (9679 - 7059 / (-3743 / 80795))", "solution_steps": ["Divide: -3743 / 80795 = -3743/80795", "Divide: 7059 / (-3743/80795) = -570331905/3743", "Subtract: 9679 - (-570331905/3743) = 606560402/3743", "Divide: -5228 / (606560402/3743) = -7486/232043"], "final_answer": "-7486/232043", "answer_type": "rational", "kind": "expression", "math_text": "-5228 / (9679 - 7059 / (-3743 / 80795))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (/ n (/ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5228, \"b\": 9679, \"c\": 7059, \"d\": -3743, \"e\": 80795}", "seed": "613376668630434976", "semantic_fingerprint": "sha256:0bd92c4e15fc39ca6c6de3a8b46be45480c1343ae7a34ed2d308b20dd154523a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000542", "prompt": "Find x: x + 63959 = -34(x + 1606) - 8141", "solution_steps": ["Expand: x + 63959 = -34x - 54604 - 8141", "Combine constants: x + 63959 = -34x - 62745", "Add 34x to both sides: 35x + 63959 = -62745", "Subtract 63959 from both sides: 35x = -126704", "Divide both sides by 35: x = -126704/35"], "final_answer": "-126704/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 63959 = -34(x + 1606) - 8141", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 63959, \"b\": -34, \"c\": 1606, \"d\": 8141}", "seed": "1670488721330448031", "semantic_fingerprint": "sha256:f8b1c4f8faa62c2dc4d3745615c2756cbc073fc7ee6be0872ac17ca7fa58c6cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000543", "prompt": "What is -9124 / (-13399)?", "solution_steps": ["Divide: -9124 / (-13399) = 9124/13399"], "final_answer": "9124/13399", "answer_type": "rational", "kind": "expression", "math_text": "-9124 / (-13399)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9124, \"b\": -13399}", "seed": "3852462775047448878", "semantic_fingerprint": "sha256:53f62855a54409b66059ee06a1daf5175deba524426b8aecd9887b352d1fa7ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000544", "prompt": "Calculate: -16285 / 9170 - 7875 / (-1311 / (-29915))", "solution_steps": ["Divide: -16285 / 9170 = -3257/1834", "Divide: -1311 / (-29915) = 1311/29915", "Divide: 7875 / (1311/29915) = 78526875/437", "Subtract: -3257/1834 - 78526875/437 = -144019712059/801458"], "final_answer": "-144019712059/801458", "answer_type": "rational", "kind": "expression", "math_text": "-16285 / 9170 - 7875 / (-1311 / (-29915))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16285, \"b\": 9170, \"c\": 7875, \"d\": -1311, \"e\": -29915}", "seed": "578239598377394949", "semantic_fingerprint": "sha256:55edc49691b395f203538a3fcda3564942240e78134e99e7cac697729394cb8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000545", "prompt": "What is -1304 - (5060 + (-3234))?", "solution_steps": ["Add: 5060 + (-3234) = 1826", "Subtract: -1304 - 1826 = -3130"], "final_answer": "-3130", "answer_type": "integer", "kind": "expression", "math_text": "-1304 - (5060 + (-3234))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1304, \"b\": 5060, \"c\": -3234}", "seed": "1968046347455352888", "semantic_fingerprint": "sha256:c08a8040448d64a672dbb22b9b3286a2c9bc03aa3cf300f2ccedc5e26666c63d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000546", "prompt": "Evaluate: 5956 - 1974 - 4176 / 15079 - (-5272)", "solution_steps": ["Subtract: 5956 - 1974 = 3982", "Divide: 4176 / 15079 = 4176/15079", "Subtract: 3982 - 4176/15079 = 60040402/15079", "Subtract: 60040402/15079 - (-5272) = 139536890/15079"], "final_answer": "139536890/15079", "answer_type": "rational", "kind": "expression", "math_text": "5956 - 1974 - 4176 / 15079 - (-5272)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5956, \"b\": 1974, \"c\": 4176, \"d\": 15079, \"e\": -5272}", "seed": "12989467794385695320", "semantic_fingerprint": "sha256:65b1ac9b0be81c50ce28b53c57ec0fd517fc2d4c627fb995844799861718864c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000547", "prompt": "What is (-4261 - 5965) / (-5632) * (-99361)?", "solution_steps": ["Subtract: -4261 - 5965 = -10226", "Divide: -10226 / (-5632) = 5113/2816", "Multiply: (5113/2816) * (-99361) = -508032793/2816"], "final_answer": "-508032793/2816", "answer_type": "rational", "kind": "expression", "math_text": "(-4261 - 5965) / (-5632) * (-99361)", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4261, \"b\": 5965, \"c\": -5632, \"d\": -99361}", "seed": "15620192246880972243", "semantic_fingerprint": "sha256:e1463e1d14a10a65bd58181b4eefe6bb6303c3012e568f093af987cd8ae619a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000548", "prompt": "Evaluate: 5080 + (-2917) - (21992 - (-2246))", "solution_steps": ["Add: 5080 + (-2917) = 2163", "Subtract: 21992 - (-2246) = 24238", "Subtract: 2163 - 24238 = -22075"], "final_answer": "-22075", "answer_type": "integer", "kind": "expression", "math_text": "5080 + (-2917) - (21992 - (-2246))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5080, \"b\": -2917, \"c\": 21992, \"d\": -2246}", "seed": "14189708729887838874", "semantic_fingerprint": "sha256:51978f3263cb5abcf3294396044aa76706b28d31380a6fc7af2c123e081489a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000549", "prompt": "What value of x satisfies 30x + 1798 = 17(x - 4529)?", "solution_steps": ["Expand: 30x + 1798 = 17x - 76993", "Subtract 17x from both sides: 13x + 1798 = -76993", "Subtract 1798 from both sides: 13x = -78791", "Divide both sides by 13: x = -78791/13"], "final_answer": "-78791/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x + 1798 = 17(x - 4529)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 1798, \"c\": 17, \"d\": 4529}", "seed": "9302382688918106089", "semantic_fingerprint": "sha256:5448fdb5ba36855e3ccf517833ae5e354528358df31ae6ef9382d375c35217fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000550", "prompt": "Solve the equation 39x - 2584 = x for x.", "solution_steps": ["Subtract x from both sides: 38x - 2584 = 0", "Add 2584 to both sides: 38x = 2584", "Divide both sides by 38: x = 68"], "final_answer": "68", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x - 2584 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": -2584, \"x\": 68}", "seed": "16294325793632987605", "semantic_fingerprint": "sha256:51a8d78c334a319bf21279ab25a3da92a74029b3d13facf894fe7661d1f96f5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000551", "prompt": "Compute: -11890 - (-21049) - (-89316) - (-4128 + (20382 + 66918))", "solution_steps": ["Subtract: -11890 - (-21049) = 9159", "Subtract: 9159 - (-89316) = 98475", "Add: 20382 + 66918 = 87300", "Add: -4128 + 87300 = 83172", "Subtract: 98475 - 83172 = 15303"], "final_answer": "15303", "answer_type": "integer", "kind": "expression", "math_text": "-11890 - (-21049) - (-89316) - (-4128 + (20382 + 66918))", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -11890, \"b\": -21049, \"c\": -89316, \"d\": -4128, \"e\": 20382, \"f\": 66918}", "seed": "3071613794826435043", "semantic_fingerprint": "sha256:0bb1f81e6946be8d0fc9c03724d4e7761d976350bdba364ae00f934673f8e56a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000552", "prompt": "What is 6861 + ((9915 - 69349) / 1449 - (-13548))?", "solution_steps": ["Subtract: 9915 - 69349 = -59434", "Divide: -59434 / 1449 = -59434/1449", "Subtract: -59434/1449 - (-13548) = 19571618/1449", "Add: 6861 + 19571618/1449 = 29513207/1449"], "final_answer": "29513207/1449", "answer_type": "rational", "kind": "expression", "math_text": "6861 + ((9915 - 69349) / 1449 - (-13548))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6861, \"b\": 9915, \"c\": 69349, \"d\": 1449, \"e\": -13548}", "seed": "13519451097156923356", "semantic_fingerprint": "sha256:b3842fa6fc268af8aded1916cf466358cb1ba0ef3255fff3e69c8185325b68db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000553", "prompt": "What is (19411 - 3625) / 48800?", "solution_steps": ["Subtract: 19411 - 3625 = 15786", "Divide: 15786 / 48800 = 7893/24400"], "final_answer": "7893/24400", "answer_type": "rational", "kind": "expression", "math_text": "(19411 - 3625) / 48800", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19411, \"b\": 3625, \"c\": 48800}", "seed": "10972656578242622265", "semantic_fingerprint": "sha256:6acd4049ce6a2989fd5c669fb82e6346543381051969375bb29f2c38f722bc63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000554", "prompt": "What value of x satisfies 39(x + 4618) = 31(x - 32550)?", "solution_steps": ["Expand: 39x + 180102 = 31(x - 32550)", "Expand: 39x + 180102 = 31x - 1009050", "Subtract 31x from both sides: 8x + 180102 = -1009050", "Subtract 180102 from both sides: 8x = -1189152", "Divide both sides by 8: x = -148644"], "final_answer": "-148644", "answer_type": "integer", "kind": "linear_equation", "math_text": "39(x + 4618) = 31(x - 32550)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4618, \"c\": 31, \"d\": 32550}", "seed": "311376510869438988", "semantic_fingerprint": "sha256:4b5c2891c7ad0d18392b77b7417db41c59b7834496f8e25d53c5b96f3b4a601d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000555", "prompt": "Calculate: -8079 + (-6624)", "solution_steps": ["Add: -8079 + (-6624) = -14703"], "final_answer": "-14703", "answer_type": "integer", "kind": "expression", "math_text": "-8079 + (-6624)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8079, \"b\": -6624}", "seed": "8824456597257757925", "semantic_fingerprint": "sha256:494099ae3d61314626aa5a42e967c4f457cf9d6cf9e97253fbe015a813b72a3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000556", "prompt": "Compute: 52690 + (-1251)", "solution_steps": ["Add: 52690 + (-1251) = 51439"], "final_answer": "51439", "answer_type": "integer", "kind": "expression", "math_text": "52690 + (-1251)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 52690, \"b\": -1251}", "seed": "8289692872827375817", "semantic_fingerprint": "sha256:35271ec94504e5373a703f17ce13fde10b41f4b8bd44ed960af1c279ad04ff60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000557", "prompt": "Evaluate: -53545 - (50231 * (-8411) - (-31208))", "solution_steps": ["Multiply: 50231 * (-8411) = -422492941", "Subtract: -422492941 - (-31208) = -422461733", "Subtract: -53545 - (-422461733) = 422408188"], "final_answer": "422408188", "answer_type": "integer", "kind": "expression", "math_text": "-53545 - (50231 * (-8411) - (-31208))", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -53545, \"b\": 50231, \"c\": -8411, \"d\": -31208}", "seed": "5082949715697192279", "semantic_fingerprint": "sha256:7adfac6c7a97b998b0b411453283f27f10a263fb54d6ccd02b15232eccb39b83", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000558", "prompt": "Calculate: -11226 * 11121", "solution_steps": ["Multiply: -11226 * 11121 = -124844346"], "final_answer": "-124844346", "answer_type": "integer", "kind": "expression", "math_text": "-11226 * 11121", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -11226, \"b\": 11121}", "seed": "4211707935380460980", "semantic_fingerprint": "sha256:e8138aab45b315edcc48435748c0178d9f409c70ae26a63059d78f5d04e2be77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000559", "prompt": "Compute: 4551 + (-40127) * (-7404 / (-6587))", "solution_steps": ["Divide: -7404 / (-6587) = 7404/6587", "Multiply: -40127 * (7404/6587) = -297100308/6587", "Add: 4551 + (-297100308/6587) = -267122871/6587"], "final_answer": "-267122871/6587", "answer_type": "rational", "kind": "expression", "math_text": "4551 + (-40127) * (-7404 / (-6587))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4551, \"b\": -40127, \"c\": -7404, \"d\": -6587}", "seed": "8860598110643020202", "semantic_fingerprint": "sha256:d6d2e19a7fc1997b0f023ae510cf51ea3b3043d0cc27d5f93f1404bf06c2a1c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000560", "prompt": "What is -7170 / (-35624 + (-6482))?", "solution_steps": ["Add: -35624 + (-6482) = -42106", "Divide: -7170 / (-42106) = 3585/21053"], "final_answer": "3585/21053", "answer_type": "rational", "kind": "expression", "math_text": "-7170 / (-35624 + (-6482))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7170, \"b\": -35624, \"c\": -6482}", "seed": "12515605453744840722", "semantic_fingerprint": "sha256:9a88b36d9f0537f47d215bd9ab2bafb5bc88c3fb2645cf85974181a811f9a832", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000561", "prompt": "Evaluate: 6486 - (-6071 + (-4082)) + 28831 + 6091", "solution_steps": ["Add: -6071 + (-4082) = -10153", "Subtract: 6486 - (-10153) = 16639", "Add: 16639 + 28831 = 45470", "Add: 45470 + 6091 = 51561"], "final_answer": "51561", "answer_type": "integer", "kind": "expression", "math_text": "6486 - (-6071 + (-4082)) + 28831 + 6091", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6486, \"b\": -6071, \"c\": -4082, \"d\": 28831, \"e\": 6091}", "seed": "4832098111882591372", "semantic_fingerprint": "sha256:ef07da3cca34d77720b43a2863b7d30629f991f2fc25a5e930ee19c77af4c987", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000562", "prompt": "Evaluate: -5554 + 33742", "solution_steps": ["Add: -5554 + 33742 = 28188"], "final_answer": "28188", "answer_type": "integer", "kind": "expression", "math_text": "-5554 + 33742", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5554, \"b\": 33742}", "seed": "6142993915135997103", "semantic_fingerprint": "sha256:5565eec1b7ecc8971f46614ab51ecc33ac0f78555747b650c802a05211b13f6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000563", "prompt": "Evaluate: -9288 / (-30504) + (-53824) - 83674", "solution_steps": ["Divide: -9288 / (-30504) = 387/1271", "Add: 387/1271 + (-53824) = -68409917/1271", "Subtract: -68409917/1271 - 83674 = -174759571/1271"], "final_answer": "-174759571/1271", "answer_type": "rational", "kind": "expression", "math_text": "-9288 / (-30504) + (-53824) - 83674", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9288, \"b\": -30504, \"c\": -53824, \"d\": 83674}", "seed": "6081082485220669812", "semantic_fingerprint": "sha256:b33d31108271af3a37577421d481d75d810d2c62c622ddaed30b0514c464b7cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000564", "prompt": "Calculate: -5079 + 60788 + 7438", "solution_steps": ["Add: -5079 + 60788 = 55709", "Add: 55709 + 7438 = 63147"], "final_answer": "63147", "answer_type": "integer", "kind": "expression", "math_text": "-5079 + 60788 + 7438", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5079, \"b\": 60788, \"c\": 7438}", "seed": "6894194241370932999", "semantic_fingerprint": "sha256:c552407e0eb525654ebc9371cab00af36d049e88015d19a8d79a9646135999ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000565", "prompt": "Evaluate: -2897 + 4872 + (-11937 + (-5548)) + (-75753)", "solution_steps": ["Add: -2897 + 4872 = 1975", "Add: -11937 + (-5548) = -17485", "Add: 1975 + (-17485) = -15510", "Add: -15510 + (-75753) = -91263"], "final_answer": "-91263", "answer_type": "integer", "kind": "expression", "math_text": "-2897 + 4872 + (-11937 + (-5548)) + (-75753)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2897, \"b\": 4872, \"c\": -11937, \"d\": -5548, \"e\": -75753}", "seed": "4719026959787323333", "semantic_fingerprint": "sha256:ff1ee21ab133cc6d9e88173f078cfe9bc1cdb682096d4ea1fdad2c27a15e97cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000566", "prompt": "Solve the equation -13(x - 17569) - 82695 = 22(x + 3396) for x.", "solution_steps": ["Expand: -13x + 228397 - 82695 = 22(x + 3396)", "Expand: -13x + 228397 - 82695 = 22x + 74712", "Combine constants: -13x + 145702 = 22x + 74712", "Subtract 22x from both sides: -35x + 145702 = 74712", "Subtract 145702 from both sides: -35x = -70990", "Divide both sides by -35: x = 14198/7"], "final_answer": "14198/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x - 17569) - 82695 = 22(x + 3396)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 17569, \"c\": 82695, \"d\": 22, \"e\": 3396}", "seed": "5835558630524647441", "semantic_fingerprint": "sha256:02f55c8045d695ff2296a5af6678b369fe888b3d4be94420461f9a4e6df46765", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000567", "prompt": "Compute: 27578 + 7812 + 28644", "solution_steps": ["Add: 27578 + 7812 = 35390", "Add: 35390 + 28644 = 64034"], "final_answer": "64034", "answer_type": "integer", "kind": "expression", "math_text": "27578 + 7812 + 28644", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27578, \"b\": 7812, \"c\": 28644}", "seed": "4192508870618702152", "semantic_fingerprint": "sha256:b7b9fd7b2a738528797705f9ce9a148d7e524e1601a8a0ca41e755b285d71da8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000568", "prompt": "What is -46445 + (-8264) / 51136?", "solution_steps": ["Divide: -8264 / 51136 = -1033/6392", "Add: -46445 + (-1033/6392) = -296877473/6392"], "final_answer": "-296877473/6392", "answer_type": "rational", "kind": "expression", "math_text": "-46445 + (-8264) / 51136", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46445, \"b\": -8264, \"c\": 51136}", "seed": "11924304875687017031", "semantic_fingerprint": "sha256:d05d6eda049e602fd8d8afa61bc561b2271f5b90447e4fa1a95d755f188a7c2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000569", "prompt": "Solve the equation 27x - 72615 = x - 71393 for x.", "solution_steps": ["Subtract x from both sides: 26x - 72615 = -71393", "Add 72615 to both sides: 26x = 1222", "Divide both sides by 26: x = 47"], "final_answer": "47", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x - 72615 = x - 71393", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 72615, \"d\": -71393, \"x\": 47}", "seed": "16048799880288870113", "semantic_fingerprint": "sha256:0cf5ebe5b2dbe1c380a6021fa0e1f1a3e66588fa2c82622aa050853c60742b54", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000570", "prompt": "Evaluate: (-2559 + (-2002)) / (-9660) - (2415 + (-99276))", "solution_steps": ["Add: -2559 + (-2002) = -4561", "Divide: -4561 / (-9660) = 4561/9660", "Add: 2415 + (-99276) = -96861", "Subtract: 4561/9660 - (-96861) = 935681821/9660"], "final_answer": "935681821/9660", "answer_type": "rational", "kind": "expression", "math_text": "(-2559 + (-2002)) / (-9660) - (2415 + (-99276))", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2559, \"b\": -2002, \"c\": -9660, \"d\": 2415, \"e\": -99276}", "seed": "17701424469985675724", "semantic_fingerprint": "sha256:4d20ba2405d373ee8693b6086272cc73a27631aafa9e155d7cf4a2c99ef64d9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000571", "prompt": "Solve the equation x + 38920 = -9545 for x.", "solution_steps": ["Subtract 38920 from both sides: x = -48465"], "final_answer": "-48465", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 38920 = -9545", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38920, \"b\": -9545}", "seed": "14642689846171391459", "semantic_fingerprint": "sha256:258d90cf02ef5120fde16f7b5b80670db6a8573d1cf87dddd910701842dad2bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000572", "prompt": "Compute: -3929 * 14857", "solution_steps": ["Multiply: -3929 * 14857 = -58373153"], "final_answer": "-58373153", "answer_type": "integer", "kind": "expression", "math_text": "-3929 * 14857", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3929, \"b\": 14857}", "seed": "9785155960118443922", "semantic_fingerprint": "sha256:3f5b1075207383b4e15a7914d8c90b28632178a0d5412b82323de93ca9e84a30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000573", "prompt": "Evaluate: 85053 - 3511", "solution_steps": ["Subtract: 85053 - 3511 = 81542"], "final_answer": "81542", "answer_type": "integer", "kind": "expression", "math_text": "85053 - 3511", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 85053, \"b\": 3511}", "seed": "10221433114542071907", "semantic_fingerprint": "sha256:ed698e9b1a00ce946264bf83b8d7bdc87e9446e0266bfd288f443ac62b8c1b9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000574", "prompt": "Solve for x: x = 14x - 1586", "solution_steps": ["Subtract 14x from both sides: -13x = -1586", "Divide both sides by -13: x = 122"], "final_answer": "122", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14x - 1586", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 1586}", "seed": "111864541599166951", "semantic_fingerprint": "sha256:522893164f7b99818dfb760a6f8d10029a6bd91cbe3e229915642a3105338c70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000575", "prompt": "Evaluate: (90736 - (-95999)) * 9036", "solution_steps": ["Subtract: 90736 - (-95999) = 186735", "Multiply: 186735 * 9036 = 1687337460"], "final_answer": "1687337460", "answer_type": "integer", "kind": "expression", "math_text": "(90736 - (-95999)) * 9036", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90736, \"b\": -95999, \"c\": 9036}", "seed": "17283653988751486187", "semantic_fingerprint": "sha256:e847839b86ad6e3d63ab652aac8e79dd7996b310fcd170b0784523e8c953678d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000576", "prompt": "What value of x satisfies 34x + 7362 = 5377?", "solution_steps": ["Subtract 7362 from both sides: 34x = -1985", "Divide both sides by 34: x = -1985/34"], "final_answer": "-1985/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x + 7362 = 5377", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 7362, \"c\": 5377}", "seed": "6174429566789889616", "semantic_fingerprint": "sha256:4682cfd27f10b4d7452934ba9f43fdf05e8f5d35cb3b44bb0f32882717a0e820", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000577", "prompt": "Compute: 19505 + 38993 - (-4995)", "solution_steps": ["Add: 19505 + 38993 = 58498", "Subtract: 58498 - (-4995) = 63493"], "final_answer": "63493", "answer_type": "integer", "kind": "expression", "math_text": "19505 + 38993 - (-4995)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19505, \"b\": 38993, \"c\": -4995}", "seed": "7268312253076003397", "semantic_fingerprint": "sha256:287e31a153c1083cf79821f6be654c51840ec743df3c180edb4121e34798e578", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000578", "prompt": "Find x: x - 8498 = -23(x + 4421) + 93929", "solution_steps": ["Expand: x - 8498 = -23x - 101683 + 93929", "Combine constants: x - 8498 = -23x - 7754", "Add 23x to both sides: 24x - 8498 = -7754", "Add 8498 to both sides: 24x = 744", "Divide both sides by 24: x = 31"], "final_answer": "31", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8498 = -23(x + 4421) + 93929", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8498, \"b\": -23, \"c\": 4421, \"e\": 93929, \"x\": 31}", "seed": "14760109928409005258", "semantic_fingerprint": "sha256:6967cb3c23580b4e5c3282e4944b3b94739a515ef99488a4922c4aa1cb4b6aec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000579", "prompt": "Solve for x: 19x + 77953 = 36x", "solution_steps": ["Subtract 36x from both sides: -17x + 77953 = 0", "Subtract 77953 from both sides: -17x = -77953", "Divide both sides by -17: x = 77953/17"], "final_answer": "77953/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x + 77953 = 36x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 77953, \"c\": 36}", "seed": "12549686964492861646", "semantic_fingerprint": "sha256:cb66dd6cba5a579df47615a89d77df00d8265058132703615418e9a42e1616d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000580", "prompt": "Evaluate: -26138 + (-9402 * 48528 + (84575 + (-66985)))", "solution_steps": ["Multiply: -9402 * 48528 = -456260256", "Add: 84575 + (-66985) = 17590", "Add: -456260256 + 17590 = -456242666", "Add: -26138 + (-456242666) = -456268804"], "final_answer": "-456268804", "answer_type": "integer", "kind": "expression", "math_text": "-26138 + (-9402 * 48528 + (84575 + (-66985)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26138, \"b\": -9402, \"c\": 48528, \"d\": 84575, \"e\": -66985}", "seed": "15289595985199735839", "semantic_fingerprint": "sha256:dd61f021a141ad60a6005ea39968aea5ef6001143067a69bb6069060ad6be74e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000581", "prompt": "What value of x satisfies x = 21(x + 9316)?", "solution_steps": ["Expand: x = 21x + 195636", "Subtract 21x from both sides: -20x = 195636", "Divide both sides by -20: x = -48909/5"], "final_answer": "-48909/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 21(x + 9316)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 9316}", "seed": "13066160912912620659", "semantic_fingerprint": "sha256:77f7a76d931219973d51326ee1b94aad6390a4d35b7626198306979786a9dbc3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000582", "prompt": "Calculate: 5101 / 3734", "solution_steps": ["Divide: 5101 / 3734 = 5101/3734"], "final_answer": "5101/3734", "answer_type": "rational", "kind": "expression", "math_text": "5101 / 3734", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5101, \"b\": 3734}", "seed": "6624864367796672883", "semantic_fingerprint": "sha256:9f1f836fc08e801792df5dd3c858a04358cefd9af307447a0433ce3a2b9ecdf8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000583", "prompt": "What is (9139 + (28454 + (-5504) + 5540)) * 4337?", "solution_steps": ["Add: 28454 + (-5504) = 22950", "Add: 22950 + 5540 = 28490", "Add: 9139 + 28490 = 37629", "Multiply: 37629 * 4337 = 163196973"], "final_answer": "163196973", "answer_type": "integer", "kind": "expression", "math_text": "(9139 + (28454 + (-5504) + 5540)) * 4337", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9139, \"b\": 28454, \"c\": -5504, \"d\": 5540, \"e\": 4337}", "seed": "5481848408795600235", "semantic_fingerprint": "sha256:565878e2823be28729b8942c898c2502bc9ca82dc068338aca502db1274fc937", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000584", "prompt": "Solve the equation x + 6345 = 29(x + 3488) - 98195 for x.", "solution_steps": ["Expand: x + 6345 = 29x + 101152 - 98195", "Combine constants: x + 6345 = 29x + 2957", "Subtract 29x from both sides: -28x + 6345 = 2957", "Subtract 6345 from both sides: -28x = -3388", "Divide both sides by -28: x = 121"], "final_answer": "121", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6345 = 29(x + 3488) - 98195", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6345, \"b\": 29, \"c\": 3488, \"e\": -98195, \"x\": 121}", "seed": "8369242870348801500", "semantic_fingerprint": "sha256:bb3bed77694429e30f0f594fbbf082dc9a85c1059531db7833e41e348bc8fbbb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000585", "prompt": "What value of x satisfies 14x = 39x + 2350?", "solution_steps": ["Subtract 39x from both sides: -25x = 2350", "Divide both sides by -25: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = 39x + 2350", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 39, \"d\": 2350, \"x\": -94}", "seed": "11725082074137258395", "semantic_fingerprint": "sha256:6127523fac31a02d04dfaea2c8b87fc5aebf57ce1f585803239c421c4c1baaf2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000586", "prompt": "Solve the equation 20(x + 5272) = x - 27407 for x.", "solution_steps": ["Expand: 20x + 105440 = x - 27407", "Subtract x from both sides: 19x + 105440 = -27407", "Subtract 105440 from both sides: 19x = -132847", "Divide both sides by 19: x = -132847/19"], "final_answer": "-132847/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 5272) = x - 27407", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 5272, \"c\": 27407}", "seed": "15018447396003397486", "semantic_fingerprint": "sha256:720c0b73b08cdb34baac4df4af755987099ed6c95bc756df70fb7f0a8f3da3b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000587", "prompt": "Evaluate: 2752 + (-5004 + (-32127) / 35119)", "solution_steps": ["Divide: -32127 / 35119 = -32127/35119", "Add: -5004 + (-32127/35119) = -175767603/35119", "Add: 2752 + (-175767603/35119) = -79120115/35119"], "final_answer": "-79120115/35119", "answer_type": "rational", "kind": "expression", "math_text": "2752 + (-5004 + (-32127) / 35119)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2752, \"b\": -5004, \"c\": -32127, \"d\": 35119}", "seed": "4831233841661029903", "semantic_fingerprint": "sha256:355ef647cce958ea87b51be04c38aabdb63c6b2f6bee9efd8df7dd1944a01178", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000588", "prompt": "What is -36846 + (-35708 + 1707) / 14543?", "solution_steps": ["Add: -35708 + 1707 = -34001", "Divide: -34001 / 14543 = -34001/14543", "Add: -36846 + (-34001/14543) = -535885379/14543"], "final_answer": "-535885379/14543", "answer_type": "rational", "kind": "expression", "math_text": "-36846 + (-35708 + 1707) / 14543", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36846, \"b\": -35708, \"c\": 1707, \"d\": 14543}", "seed": "4019426899794929583", "semantic_fingerprint": "sha256:8af4e3a22883b18625cb4586012079544467fe0b02de771e0b5af7b46199add3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000589", "prompt": "Solve the equation 24x = x - 71506 for x.", "solution_steps": ["Subtract x from both sides: 23x = -71506", "Divide both sides by 23: x = -71506/23"], "final_answer": "-71506/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x = x - 71506", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 71506}", "seed": "14123155800751664571", "semantic_fingerprint": "sha256:c597825ea5061f685786d1e204fd73aec0f6ccc8865021ae75b481b034cab1d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000590", "prompt": "Find x: -30(x + 20909) = 30x", "solution_steps": ["Expand: -30x - 627270 = 30x", "Subtract 30x from both sides: -60x - 627270 = 0", "Add 627270 to both sides: -60x = 627270", "Divide both sides by -60: x = -20909/2"], "final_answer": "-20909/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 20909) = 30x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 20909, \"c\": 30}", "seed": "12809574049846069033", "semantic_fingerprint": "sha256:61403cc3ffed53f1fe639bd88581951c84d1bb78e5838649569f055aef03f52d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000591", "prompt": "Evaluate: 1641 + (4489 + 3493)", "solution_steps": ["Add: 4489 + 3493 = 7982", "Add: 1641 + 7982 = 9623"], "final_answer": "9623", "answer_type": "integer", "kind": "expression", "math_text": "1641 + (4489 + 3493)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1641, \"b\": 4489, \"c\": 3493}", "seed": "10596537616052520864", "semantic_fingerprint": "sha256:03b2cd16f22dbebde340ad37f59bd3bd7593c95513138782e8c8d2967f7ac3ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000592", "prompt": "Calculate: 8436 / (46300 + (-5179))", "solution_steps": ["Add: 46300 + (-5179) = 41121", "Divide: 8436 / 41121 = 2812/13707"], "final_answer": "2812/13707", "answer_type": "rational", "kind": "expression", "math_text": "8436 / (46300 + (-5179))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8436, \"b\": 46300, \"c\": -5179}", "seed": "8063091136095140442", "semantic_fingerprint": "sha256:8ee745ca9ddde645ba65e256aebda80633d0d9c1da86cbd743b95fcb5b352d2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000593", "prompt": "Compute: -27524 * (-98157 + (-10798))", "solution_steps": ["Add: -98157 + (-10798) = -108955", "Multiply: -27524 * (-108955) = 2998877420"], "final_answer": "2998877420", "answer_type": "integer", "kind": "expression", "math_text": "-27524 * (-98157 + (-10798))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27524, \"b\": -98157, \"c\": -10798}", "seed": "2739029529706443578", "semantic_fingerprint": "sha256:a62f57eac917656c0cef5c6f2fdcee77886564f9c37bff12a8eee2809b8952ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000594", "prompt": "Solve for x: -13(x - 65809) + 3228 = 27(x + 80869) + 6747", "solution_steps": ["Expand: -13x + 855517 + 3228 = 27(x + 80869) + 6747", "Expand: -13x + 855517 + 3228 = 27x + 2183463 + 6747", "Combine constants: -13x + 858745 = 27x + 2183463 + 6747", "Combine constants: -13x + 858745 = 27x + 2190210", "Subtract 27x from both sides: -40x + 858745 = 2190210", "Subtract 858745 from both sides: -40x = 1331465", "Divide both sides by -40: x = -266293/8"], "final_answer": "-266293/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x - 65809) + 3228 = 27(x + 80869) + 6747", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 65809, \"c\": 3228, \"d\": 27, \"e\": 80869, \"f\": 6747}", "seed": "9688794738049640306", "semantic_fingerprint": "sha256:3fd6aa4f493732526c4853d806435827bc7d3c69cda21953f1a43e43ddfa06a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000595", "prompt": "What is -59796 - (-43655) * 1343 - (-57458 * (-8905) - 11882)?", "solution_steps": ["Multiply: -43655 * 1343 = -58628665", "Subtract: -59796 - (-58628665) = 58568869", "Multiply: -57458 * (-8905) = 511663490", "Subtract: 511663490 - 11882 = 511651608", "Subtract: 58568869 - 511651608 = -453082739"], "final_answer": "-453082739", "answer_type": "integer", "kind": "expression", "math_text": "-59796 - (-43655) * 1343 - (-57458 * (-8905) - 11882)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (- (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -59796, \"b\": -43655, \"c\": 1343, \"d\": -57458, \"e\": -8905, \"f\": 11882}", "seed": "15145527402889543107", "semantic_fingerprint": "sha256:908fcc671236ae827b186e65ae3328ab8f88974d81c593b570d21d80d0e6ae21", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000596", "prompt": "Evaluate: -9756 - (-6203) - (-2621 + (-3209)) + (-3008) * 3626", "solution_steps": ["Subtract: -9756 - (-6203) = -3553", "Add: -2621 + (-3209) = -5830", "Subtract: -3553 - (-5830) = 2277", "Multiply: -3008 * 3626 = -10907008", "Add: 2277 + (-10907008) = -10904731"], "final_answer": "-10904731", "answer_type": "integer", "kind": "expression", "math_text": "-9756 - (-6203) - (-2621 + (-3209)) + (-3008) * 3626", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9756, \"b\": -6203, \"c\": -2621, \"d\": -3209, \"e\": -3008, \"f\": 3626}", "seed": "3053811587084189297", "semantic_fingerprint": "sha256:f47b0469189f9b3e8d82cdfbf4a4eeea9b85a9b8d3a1694d281f212e7e2dc427", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000597", "prompt": "What is (21569 + 15180 - 8905) * 2015?", "solution_steps": ["Add: 21569 + 15180 = 36749", "Subtract: 36749 - 8905 = 27844", "Multiply: 27844 * 2015 = 56105660"], "final_answer": "56105660", "answer_type": "integer", "kind": "expression", "math_text": "(21569 + 15180 - 8905) * 2015", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21569, \"b\": 15180, \"c\": 8905, \"d\": 2015}", "seed": "16509240595273482502", "semantic_fingerprint": "sha256:fc675d893aea4d7d7d91eddd49501e88ec84377fcf99ae2e109b986d258b5d3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000598", "prompt": "Calculate: 72154 * 46414", "solution_steps": ["Multiply: 72154 * 46414 = 3348955756"], "final_answer": "3348955756", "answer_type": "integer", "kind": "expression", "math_text": "72154 * 46414", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 72154, \"b\": 46414}", "seed": "2507992949499918037", "semantic_fingerprint": "sha256:224c8fd5bdc9bcf23971b32a01ab0c046a4a6f7ad1b9e6a27b375218b3931435", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000599", "prompt": "Calculate: 44798 * (-92848)", "solution_steps": ["Multiply: 44798 * (-92848) = -4159404704"], "final_answer": "-4159404704", "answer_type": "integer", "kind": "expression", "math_text": "44798 * (-92848)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 44798, \"b\": -92848}", "seed": "4566522495574417294", "semantic_fingerprint": "sha256:8bd2e387410df5fc7f185ad7875596d4560481e3a03fa9471247701e536ce6c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000600", "prompt": "Calculate: -81937 + (-88068) * 9614", "solution_steps": ["Multiply: -88068 * 9614 = -846685752", "Add: -81937 + (-846685752) = -846767689"], "final_answer": "-846767689", "answer_type": "integer", "kind": "expression", "math_text": "-81937 + (-88068) * 9614", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -81937, \"b\": -88068, \"c\": 9614}", "seed": "2747722996648537995", "semantic_fingerprint": "sha256:290b66d021cf13dc5bfc0dc81f0b4b86c70146e0eb1d71990bdb798b0dd41438", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000601", "prompt": "Calculate: -6532 / (43143 - 57930)", "solution_steps": ["Subtract: 43143 - 57930 = -14787", "Divide: -6532 / (-14787) = 6532/14787"], "final_answer": "6532/14787", "answer_type": "rational", "kind": "expression", "math_text": "-6532 / (43143 - 57930)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6532, \"b\": 43143, \"c\": 57930}", "seed": "12914932171727825214", "semantic_fingerprint": "sha256:ed91fb1511c166f5e4c5a0b77072bf48addd5a650842a936256430791c858d63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000602", "prompt": "Evaluate: 11468 + 5696 + 3436", "solution_steps": ["Add: 11468 + 5696 = 17164", "Add: 17164 + 3436 = 20600"], "final_answer": "20600", "answer_type": "integer", "kind": "expression", "math_text": "11468 + 5696 + 3436", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 11468, \"b\": 5696, \"c\": 3436}", "seed": "1055887679873469807", "semantic_fingerprint": "sha256:9f76c808456a20f06811cb703c0033f18da4f8a168d73d333590f7b8ca49891d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000603", "prompt": "What is -7464 / (30146 - (-63768) + (-5746)) + (-5923)?", "solution_steps": ["Subtract: 30146 - (-63768) = 93914", "Add: 93914 + (-5746) = 88168", "Divide: -7464 / 88168 = -933/11021", "Add: -933/11021 + (-5923) = -65278316/11021"], "final_answer": "-65278316/11021", "answer_type": "rational", "kind": "expression", "math_text": "-7464 / (30146 - (-63768) + (-5746)) + (-5923)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7464, \"b\": 30146, \"c\": -63768, \"d\": -5746, \"e\": -5923}", "seed": "2917815361674955448", "semantic_fingerprint": "sha256:6a3cc29acb6995af50c334a08b754cc55f849d31f08ff6a7da78f4b032956f73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000604", "prompt": "Solve for x: 27(x - 24580) = -34x", "solution_steps": ["Expand: 27x - 663660 = -34x", "Add 34x to both sides: 61x - 663660 = 0", "Add 663660 to both sides: 61x = 663660", "Divide both sides by 61: x = 663660/61"], "final_answer": "663660/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 24580) = -34x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 24580, \"c\": -34}", "seed": "9853825572075917497", "semantic_fingerprint": "sha256:3f70adc6726eeef99c00b3da924135029822dbabfb285c06ae8296f64e1ad16e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000605", "prompt": "Solve for x: x + 26636 = -22001", "solution_steps": ["Subtract 26636 from both sides: x = -48637"], "final_answer": "-48637", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 26636 = -22001", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26636, \"b\": -22001}", "seed": "14363860446862110890", "semantic_fingerprint": "sha256:09b1af16fab6dbdd13ee74cb3fe55c673b5a4982d7a2346f4b16960880020cba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000606", "prompt": "Evaluate: 45425 * (-2654)", "solution_steps": ["Multiply: 45425 * (-2654) = -120557950"], "final_answer": "-120557950", "answer_type": "integer", "kind": "expression", "math_text": "45425 * (-2654)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 45425, \"b\": -2654}", "seed": "2424019203594192350", "semantic_fingerprint": "sha256:fb69061664b2d11fe8a302cab386f3d13a2716c0a0168ca343ddb9b776036cdf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000607", "prompt": "Calculate: (3327 + (-7014 + 1268)) / (-3863) * (-9669 + (-38789))", "solution_steps": ["Add: -7014 + 1268 = -5746", "Add: 3327 + (-5746) = -2419", "Divide: -2419 / (-3863) = 2419/3863", "Add: -9669 + (-38789) = -48458", "Multiply: (2419/3863) * (-48458) = -117219902/3863"], "final_answer": "-117219902/3863", "answer_type": "rational", "kind": "expression", "math_text": "(3327 + (-7014 + 1268)) / (-3863) * (-9669 + (-38789))", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3327, \"b\": -7014, \"c\": 1268, \"d\": -3863, \"e\": -9669, \"f\": -38789}", "seed": "10400507815308758938", "semantic_fingerprint": "sha256:9e43d440c0610d0ce40de4242da7e6a6be527b1d2b5b0ce8ab0b4417603ed060", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000608", "prompt": "Compute: -15823 - (5447 + 89076)", "solution_steps": ["Add: 5447 + 89076 = 94523", "Subtract: -15823 - 94523 = -110346"], "final_answer": "-110346", "answer_type": "integer", "kind": "expression", "math_text": "-15823 - (5447 + 89076)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15823, \"b\": 5447, \"c\": 89076}", "seed": "9143285816022912041", "semantic_fingerprint": "sha256:ad5cf2d7994155168436b38aa3bec1674ad365a195019f5865356f137b28e01b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000609", "prompt": "Evaluate: (-66616 - (43922 + 8327)) / (-4556) * 5381", "solution_steps": ["Add: 43922 + 8327 = 52249", "Subtract: -66616 - 52249 = -118865", "Divide: -118865 / (-4556) = 118865/4556", "Multiply: (118865/4556) * 5381 = 639612565/4556"], "final_answer": "639612565/4556", "answer_type": "rational", "kind": "expression", "math_text": "(-66616 - (43922 + 8327)) / (-4556) * 5381", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -66616, \"b\": 43922, \"c\": 8327, \"d\": -4556, \"e\": 5381}", "seed": "14697463323101714222", "semantic_fingerprint": "sha256:0d20406e4713ede4547496d0121c40bf0fbea111ad0252e98cf61805f8f7b35a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000610", "prompt": "What value of x satisfies 26(x + 9285) + 9491 = -26(x - 26290) - 92373?", "solution_steps": ["Expand: 26x + 241410 + 9491 = -26(x - 26290) - 92373", "Expand: 26x + 241410 + 9491 = -26x + 683540 - 92373", "Combine constants: 26x + 250901 = -26x + 683540 - 92373", "Combine constants: 26x + 250901 = -26x + 591167", "Add 26x to both sides: 52x + 250901 = 591167", "Subtract 250901 from both sides: 52x = 340266", "Divide both sides by 52: x = 170133/26"], "final_answer": "170133/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 9285) + 9491 = -26(x - 26290) - 92373", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 9285, \"c\": 9491, \"d\": -26, \"e\": 26290, \"f\": 92373}", "seed": "3515558873400673268", "semantic_fingerprint": "sha256:b82a6d7cae7ed86117c23c63f70164b025cbf8a9de7109868b25aab4f5acbe5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000611", "prompt": "Find x: -21x = x", "solution_steps": ["Subtract x from both sides: -22x = 0", "Divide both sides by -22: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21}", "seed": "15887305589002506144", "semantic_fingerprint": "sha256:bed20853cbfb4ce2269c9618c2c2867dd0138a74df6c12e716c70fe9ae7641f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000612", "prompt": "What is 9051 * 20788?", "solution_steps": ["Multiply: 9051 * 20788 = 188152188"], "final_answer": "188152188", "answer_type": "integer", "kind": "expression", "math_text": "9051 * 20788", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9051, \"b\": 20788}", "seed": "9080295576983968902", "semantic_fingerprint": "sha256:e9828eb8e12c70379348356c7392ae7cf5a14c839131d54f89a663cc2e7645ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000613", "prompt": "Solve for x: 20(x + 2116) + 25560 = 15(x + 4581)", "solution_steps": ["Expand: 20x + 42320 + 25560 = 15(x + 4581)", "Expand: 20x + 42320 + 25560 = 15x + 68715", "Combine constants: 20x + 67880 = 15x + 68715", "Subtract 15x from both sides: 5x + 67880 = 68715", "Subtract 67880 from both sides: 5x = 835", "Divide both sides by 5: x = 167"], "final_answer": "167", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 2116) + 25560 = 15(x + 4581)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 2116, \"c\": 15, \"d\": 4581, \"f\": 25560, \"x\": 167}", "seed": "14539719610435069562", "semantic_fingerprint": "sha256:54dd1161d77594faab2b7d6807ae42961b5baa0e8c8561236798816b5bf2cc99", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000614", "prompt": "Compute: -8663 - (-50492 - 25579)", "solution_steps": ["Subtract: -50492 - 25579 = -76071", "Subtract: -8663 - (-76071) = 67408"], "final_answer": "67408", "answer_type": "integer", "kind": "expression", "math_text": "-8663 - (-50492 - 25579)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8663, \"b\": -50492, \"c\": 25579}", "seed": "8035782734290415964", "semantic_fingerprint": "sha256:4fe8b086788df11cc457e338a2ab331e872647077a7a549a12413934b2c3ca07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000615", "prompt": "Evaluate: 37838 - (-81087) + (-40603) * (-56794) / (-24435)", "solution_steps": ["Subtract: 37838 - (-81087) = 118925", "Multiply: -40603 * (-56794) = 2306006782", "Divide: 2306006782 / (-24435) = -2306006782/24435", "Add: 118925 + (-2306006782/24435) = 599925593/24435"], "final_answer": "599925593/24435", "answer_type": "rational", "kind": "expression", "math_text": "37838 - (-81087) + (-40603) * (-56794) / (-24435)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37838, \"b\": -81087, \"c\": -40603, \"d\": -56794, \"e\": -24435}", "seed": "9213269696115897050", "semantic_fingerprint": "sha256:10d95f29dae9175d370fcb5cc77e115453d23a07144615a2da5f65180f5e8f74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000616", "prompt": "What is -6397 / (-16480)?", "solution_steps": ["Divide: -6397 / (-16480) = 6397/16480"], "final_answer": "6397/16480", "answer_type": "rational", "kind": "expression", "math_text": "-6397 / (-16480)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6397, \"b\": -16480}", "seed": "14650943093315859917", "semantic_fingerprint": "sha256:b798644776a5a2cefff36fa82a8b67f1c75f0d366c0db47323a21f03f75a039e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000617", "prompt": "Solve the equation -20x = 24x - 7392 for x.", "solution_steps": ["Subtract 24x from both sides: -44x = -7392", "Divide both sides by -44: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x = 24x - 7392", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 24, \"d\": -7392, \"x\": 168}", "seed": "5940749826830705488", "semantic_fingerprint": "sha256:27aca6116f98f433a267bb3903fe58f16d852f4ce95b01e6eb54ceca4e0019f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000618", "prompt": "Compute: 1528 + (-2206 + 6325) * (-1905)", "solution_steps": ["Add: -2206 + 6325 = 4119", "Multiply: 4119 * (-1905) = -7846695", "Add: 1528 + (-7846695) = -7845167"], "final_answer": "-7845167", "answer_type": "integer", "kind": "expression", "math_text": "1528 + (-2206 + 6325) * (-1905)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1528, \"b\": -2206, \"c\": 6325, \"d\": -1905}", "seed": "2524786647173452158", "semantic_fingerprint": "sha256:2bf454b01d600d1951309faf0325a344fef49d67e32253b0a51666ca33282c89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000619", "prompt": "What is (-91187 + (-9009)) * (-2555)?", "solution_steps": ["Add: -91187 + (-9009) = -100196", "Multiply: -100196 * (-2555) = 256000780"], "final_answer": "256000780", "answer_type": "integer", "kind": "expression", "math_text": "(-91187 + (-9009)) * (-2555)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91187, \"b\": -9009, \"c\": -2555}", "seed": "15355961874208798108", "semantic_fingerprint": "sha256:7830b5d7f75517ae86bdb11029a33cc61d9d7948c0c13e821e04c5dd07d40dfe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000620", "prompt": "Evaluate: -34301 * 4366", "solution_steps": ["Multiply: -34301 * 4366 = -149758166"], "final_answer": "-149758166", "answer_type": "integer", "kind": "expression", "math_text": "-34301 * 4366", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -34301, \"b\": 4366}", "seed": "5085677729981378432", "semantic_fingerprint": "sha256:ee16e2b423812461a85236abe2f04e4e8821c7b002c9456506d39b8b19a20cd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000621", "prompt": "Find x: 30(x + 64819) - 38141 = -7576", "solution_steps": ["Expand: 30x + 1944570 - 38141 = -7576", "Combine constants: 30x + 1906429 = -7576", "Subtract 1906429 from both sides: 30x = -1914005", "Divide both sides by 30: x = -382801/6"], "final_answer": "-382801/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 64819) - 38141 = -7576", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 64819, \"c\": 38141, \"d\": -7576}", "seed": "4400363052978586083", "semantic_fingerprint": "sha256:cf1f0a59d976132669b42de26f8c45d8ebb7d8e97b1e616da6e1fee3ed9e3fc1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000622", "prompt": "Find x: 32(x + 8178) = -38x", "solution_steps": ["Expand: 32x + 261696 = -38x", "Add 38x to both sides: 70x + 261696 = 0", "Subtract 261696 from both sides: 70x = -261696", "Divide both sides by 70: x = -130848/35"], "final_answer": "-130848/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 8178) = -38x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 8178, \"c\": -38}", "seed": "18154991713452483103", "semantic_fingerprint": "sha256:3fd7fb971e07f429617b0d467c27d56b8005a5bfa21311f7a739eae832e5f557", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000623", "prompt": "Evaluate: 1144 * 2774 * (-8814) - 22912", "solution_steps": ["Multiply: 1144 * 2774 = 3173456", "Multiply: 3173456 * (-8814) = -27970841184", "Subtract: -27970841184 - 22912 = -27970864096"], "final_answer": "-27970864096", "answer_type": "integer", "kind": "expression", "math_text": "1144 * 2774 * (-8814) - 22912", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1144, \"b\": 2774, \"c\": -8814, \"d\": 22912}", "seed": "14704577759450936147", "semantic_fingerprint": "sha256:582bdbf939f59f9961d6d60b027fe24fd6c7a1b0fda2e1061e1448a4f4657499", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000624", "prompt": "What is -9250 / 3560?", "solution_steps": ["Divide: -9250 / 3560 = -925/356"], "final_answer": "-925/356", "answer_type": "rational", "kind": "expression", "math_text": "-9250 / 3560", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9250, \"b\": 3560}", "seed": "14373873358547455981", "semantic_fingerprint": "sha256:722313fd9018607b3edb4435426f788c6e007a7f8cc076ecffa2c3a0cd4f3d7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000625", "prompt": "Solve the equation x - 2450 = 15x for x.", "solution_steps": ["Subtract 15x from both sides: -14x - 2450 = 0", "Add 2450 to both sides: -14x = 2450", "Divide both sides by -14: x = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2450 = 15x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"c\": -2450, \"x\": -175}", "seed": "295745263827619442", "semantic_fingerprint": "sha256:0d20f9e14bad51dc7e1b6945916705560fa0cd1048070c63ad9e7860d30acb44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000626", "prompt": "Calculate: (-7901 + (-62052)) / (9415 / (-5009)) + 8204", "solution_steps": ["Add: -7901 + (-62052) = -69953", "Divide: 9415 / (-5009) = -9415/5009", "Divide: -69953 / (-9415/5009) = 350394577/9415", "Add: 350394577/9415 + 8204 = 427635237/9415"], "final_answer": "427635237/9415", "answer_type": "rational", "kind": "expression", "math_text": "(-7901 + (-62052)) / (9415 / (-5009)) + 8204", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7901, \"b\": -62052, \"c\": 9415, \"d\": -5009, \"e\": 8204}", "seed": "5949716195342366526", "semantic_fingerprint": "sha256:a4bbc222391a4834d35dd00a7e0b061a38a1b650ac0d93b19e9b5ee1c53e19b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000627", "prompt": "Calculate: 6683 * (24536 - (-5845))", "solution_steps": ["Subtract: 24536 - (-5845) = 30381", "Multiply: 6683 * 30381 = 203036223"], "final_answer": "203036223", "answer_type": "integer", "kind": "expression", "math_text": "6683 * (24536 - (-5845))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6683, \"b\": 24536, \"c\": -5845}", "seed": "7974191465925847435", "semantic_fingerprint": "sha256:8ce0e88d30b13ec806abd73cadbe19b7f8a6fa52741a24e7296001b674aff15f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000628", "prompt": "What is (95390 - 84928) / 7518?", "solution_steps": ["Subtract: 95390 - 84928 = 10462", "Divide: 10462 / 7518 = 5231/3759"], "final_answer": "5231/3759", "answer_type": "rational", "kind": "expression", "math_text": "(95390 - 84928) / 7518", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95390, \"b\": 84928, \"c\": 7518}", "seed": "10826127146821874156", "semantic_fingerprint": "sha256:d370ce59c3387c7caabd76f200d02b4b3f89b9fae700606da679110ecf945390", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000629", "prompt": "What is -17036 / (-15386 + (-5544))?", "solution_steps": ["Add: -15386 + (-5544) = -20930", "Divide: -17036 / (-20930) = 8518/10465"], "final_answer": "8518/10465", "answer_type": "rational", "kind": "expression", "math_text": "-17036 / (-15386 + (-5544))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17036, \"b\": -15386, \"c\": -5544}", "seed": "2358484499740054579", "semantic_fingerprint": "sha256:93232e1a77fd6aab001db9cb520949979bea495496aa665f33512872eeb11d92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000630", "prompt": "What is -35138 / (-7175) + (-9142)?", "solution_steps": ["Divide: -35138 / (-7175) = 35138/7175", "Add: 35138/7175 + (-9142) = -65558712/7175"], "final_answer": "-65558712/7175", "answer_type": "rational", "kind": "expression", "math_text": "-35138 / (-7175) + (-9142)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35138, \"b\": -7175, \"c\": -9142}", "seed": "10518785236338807546", "semantic_fingerprint": "sha256:493b1b2548e7f5116e9b68fffcca6cec7ae0df38a3b65c4c2c8831a87778b68c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000631", "prompt": "Compute: 3070 + 59132 / (-5890)", "solution_steps": ["Divide: 59132 / (-5890) = -29566/2945", "Add: 3070 + (-29566/2945) = 9011584/2945"], "final_answer": "9011584/2945", "answer_type": "rational", "kind": "expression", "math_text": "3070 + 59132 / (-5890)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3070, \"b\": 59132, \"c\": -5890}", "seed": "17988903678512992091", "semantic_fingerprint": "sha256:1bf9c5ca1317b15e556b660367630421ba68f029625217f1bd4a94b457ae0e46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000632", "prompt": "Solve for x: 29(x + 29589) - 2336 = 89510", "solution_steps": ["Expand: 29x + 858081 - 2336 = 89510", "Combine constants: 29x + 855745 = 89510", "Subtract 855745 from both sides: 29x = -766235", "Divide both sides by 29: x = -766235/29"], "final_answer": "-766235/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 29589) - 2336 = 89510", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 29589, \"c\": 2336, \"d\": 89510}", "seed": "8174108479736788825", "semantic_fingerprint": "sha256:9257f3c11b6cc605511006fb3b606b228627c913b741143edf8c4629c48614f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000633", "prompt": "Solve for x: 24x - 2551 = x - 5518", "solution_steps": ["Subtract x from both sides: 23x - 2551 = -5518", "Add 2551 to both sides: 23x = -2967", "Divide both sides by 23: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 2551 = x - 5518", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2551, \"d\": -5518, \"x\": -129}", "seed": "13118358694084496500", "semantic_fingerprint": "sha256:30f60482bcd751409b29863d8c354c8d6bba3feee5bb64d45fffce70b8565d7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000634", "prompt": "What is -4846 * (-17400) - (-33570)?", "solution_steps": ["Multiply: -4846 * (-17400) = 84320400", "Subtract: 84320400 - (-33570) = 84353970"], "final_answer": "84353970", "answer_type": "integer", "kind": "expression", "math_text": "-4846 * (-17400) - (-33570)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4846, \"b\": -17400, \"c\": -33570}", "seed": "10608807931942503174", "semantic_fingerprint": "sha256:73d6c306ff1ad0fe145adaafd3fca33617588297e84dff64c02cede3d55b2f6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000635", "prompt": "What value of x satisfies -20(x - 6862) = 15x + 48650?", "solution_steps": ["Expand: -20x + 137240 = 15x + 48650", "Subtract 15x from both sides: -35x + 137240 = 48650", "Subtract 137240 from both sides: -35x = -88590", "Divide both sides by -35: x = 17718/7"], "final_answer": "17718/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x - 6862) = 15x + 48650", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 6862, \"c\": 15, \"d\": 48650}", "seed": "5984659631215043808", "semantic_fingerprint": "sha256:75cfe9c8030679e722f3e8a601f8bd1b08c41e9c5d0a84bf31cf98d982c11e6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000636", "prompt": "Find x: -33(x + 3919) + 1670 = 16x", "solution_steps": ["Expand: -33x - 129327 + 1670 = 16x", "Combine constants: -33x - 127657 = 16x", "Subtract 16x from both sides: -49x - 127657 = 0", "Add 127657 to both sides: -49x = 127657", "Divide both sides by -49: x = -127657/49"], "final_answer": "-127657/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x + 3919) + 1670 = 16x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 3919, \"c\": 1670, \"d\": 16}", "seed": "14845548356488101826", "semantic_fingerprint": "sha256:bf90a6cfd1a69c01ee0e1787f5234e1093edf95616a8a3c443d683b05039c1f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000637", "prompt": "Evaluate: -6213 / (-44554) * 85211", "solution_steps": ["Divide: -6213 / (-44554) = 6213/44554", "Multiply: (6213/44554) * 85211 = 529415943/44554"], "final_answer": "529415943/44554", "answer_type": "rational", "kind": "expression", "math_text": "-6213 / (-44554) * 85211", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6213, \"b\": -44554, \"c\": 85211}", "seed": "3277356247128937190", "semantic_fingerprint": "sha256:a63ab51dec842ad77909d0ed151130a27f99d8f00d738a2ad66b22d6ba3b2a2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000638", "prompt": "Solve the equation 32(x + 59800) = x - 6757 for x.", "solution_steps": ["Expand: 32x + 1913600 = x - 6757", "Subtract x from both sides: 31x + 1913600 = -6757", "Subtract 1913600 from both sides: 31x = -1920357", "Divide both sides by 31: x = -61947"], "final_answer": "-61947", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x + 59800) = x - 6757", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 59800, \"c\": 6757}", "seed": "1739985690556370836", "semantic_fingerprint": "sha256:f2f0a2c4438779ef5c42f00ebd2721594e0af392000e2bcf43facbdf6740452a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000639", "prompt": "What value of x satisfies x - 6982 = 20(x + 3518) - 66090?", "solution_steps": ["Expand: x - 6982 = 20x + 70360 - 66090", "Combine constants: x - 6982 = 20x + 4270", "Subtract 20x from both sides: -19x - 6982 = 4270", "Add 6982 to both sides: -19x = 11252", "Divide both sides by -19: x = -11252/19"], "final_answer": "-11252/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6982 = 20(x + 3518) - 66090", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6982, \"b\": 20, \"c\": 3518, \"d\": 66090}", "seed": "12865373034994098396", "semantic_fingerprint": "sha256:d16c1bedb4199d09378873c4a6d99825452c053a692741615aa8e81477804f8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000640", "prompt": "Solve the equation 31x = -26(x + 7222) for x.", "solution_steps": ["Expand: 31x = -26x - 187772", "Add 26x to both sides: 57x = -187772", "Divide both sides by 57: x = -187772/57"], "final_answer": "-187772/57", "answer_type": "rational", "kind": "linear_equation", "math_text": "31x = -26(x + 7222)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": -26, \"c\": 7222}", "seed": "2515574707167288483", "semantic_fingerprint": "sha256:be3ca57f3014143c89762de4cac05c44bf2d1eaefa1ac6248f25741f5646b2c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000641", "prompt": "Calculate: -4910 - (-5372) / 85405 * (59265 - (-2811)) - (-5282)", "solution_steps": ["Divide: -5372 / 85405 = -5372/85405", "Subtract: 59265 - (-2811) = 62076", "Multiply: (-5372/85405) * 62076 = -333472272/85405", "Subtract: -4910 - (-333472272/85405) = -85866278/85405", "Subtract: -85866278/85405 - (-5282) = 365242932/85405"], "final_answer": "365242932/85405", "answer_type": "rational", "kind": "expression", "math_text": "-4910 - (-5372) / 85405 * (59265 - (-2811)) - (-5282)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* (/ n n) (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4910, \"b\": -5372, \"c\": 85405, \"d\": 59265, \"e\": -2811, \"f\": -5282}", "seed": "1190282909762319374", "semantic_fingerprint": "sha256:066cb780965645267039c99e1b3cdccbcae6d2c7e18afd6fe0de32d7a68f46b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000642", "prompt": "Compute: -1258 * (-63194 / (-2196) + 39298)", "solution_steps": ["Divide: -63194 / (-2196) = 31597/1098", "Add: 31597/1098 + 39298 = 43180801/1098", "Multiply: -1258 * (43180801/1098) = -27160723829/549"], "final_answer": "-27160723829/549", "answer_type": "rational", "kind": "expression", "math_text": "-1258 * (-63194 / (-2196) + 39298)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1258, \"b\": -63194, \"c\": -2196, \"d\": 39298}", "seed": "15523557213106530853", "semantic_fingerprint": "sha256:15f773dd53cac87aa90b0931b356ccba1bace952a905c363343e238a07227fb7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000643", "prompt": "Calculate: 56986 * 9274 - 8034 + (-6402)", "solution_steps": ["Multiply: 56986 * 9274 = 528488164", "Subtract: 528488164 - 8034 = 528480130", "Add: 528480130 + (-6402) = 528473728"], "final_answer": "528473728", "answer_type": "integer", "kind": "expression", "math_text": "56986 * 9274 - 8034 + (-6402)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 56986, \"b\": 9274, \"c\": 8034, \"d\": -6402}", "seed": "5588293263265887946", "semantic_fingerprint": "sha256:bcd31d3cd8d4a412de9384429631e167ec2ac19ed5a94f0ced01f693df11d232", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000644", "prompt": "Solve the equation 21(x + 63435) = x - 6179 for x.", "solution_steps": ["Expand: 21x + 1332135 = x - 6179", "Subtract x from both sides: 20x + 1332135 = -6179", "Subtract 1332135 from both sides: 20x = -1338314", "Divide both sides by 20: x = -669157/10"], "final_answer": "-669157/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 63435) = x - 6179", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 63435, \"c\": 6179}", "seed": "3865230096149033277", "semantic_fingerprint": "sha256:fb15ae34ff455499585d4b35e14f2c7b048c319f39734b950121f4ecf34dbd15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000645", "prompt": "What value of x satisfies -33(x - 3017) = -23(x - 94358) + 2341?", "solution_steps": ["Expand: -33x + 99561 = -23(x - 94358) + 2341", "Expand: -33x + 99561 = -23x + 2170234 + 2341", "Combine constants: -33x + 99561 = -23x + 2172575", "Add 23x to both sides: -10x + 99561 = 2172575", "Subtract 99561 from both sides: -10x = 2073014", "Divide both sides by -10: x = -1036507/5"], "final_answer": "-1036507/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 3017) = -23(x - 94358) + 2341", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 3017, \"c\": -23, \"d\": 94358, \"e\": 2341}", "seed": "6880488148708866475", "semantic_fingerprint": "sha256:e525494bf13423fdee223d1c5965938eb24b05cbd2eeefd9039f118e324b2592", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000646", "prompt": "What is 2299 + (-57792 + (-1162))?", "solution_steps": ["Add: -57792 + (-1162) = -58954", "Add: 2299 + (-58954) = -56655"], "final_answer": "-56655", "answer_type": "integer", "kind": "expression", "math_text": "2299 + (-57792 + (-1162))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2299, \"b\": -57792, \"c\": -1162}", "seed": "1050065008823093402", "semantic_fingerprint": "sha256:4b2460a272dcae392c48bd82d95ba8329fc50fd5b15cb1877be1ada3e95c0be7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000647", "prompt": "What is 5125 / (-9793 - (-96943))?", "solution_steps": ["Subtract: -9793 - (-96943) = 87150", "Divide: 5125 / 87150 = 205/3486"], "final_answer": "205/3486", "answer_type": "rational", "kind": "expression", "math_text": "5125 / (-9793 - (-96943))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5125, \"b\": -9793, \"c\": -96943}", "seed": "3361221713823135586", "semantic_fingerprint": "sha256:bcd13349113110ffe3891902f740671bb135e2608f546dafad6452baa85ce414", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000648", "prompt": "Evaluate: 77906 + (-89391) + 2953", "solution_steps": ["Add: 77906 + (-89391) = -11485", "Add: -11485 + 2953 = -8532"], "final_answer": "-8532", "answer_type": "integer", "kind": "expression", "math_text": "77906 + (-89391) + 2953", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77906, \"b\": -89391, \"c\": 2953}", "seed": "3845979045961550723", "semantic_fingerprint": "sha256:7a5e452ff12d1d2ba6dd8a44ad1dfde69582a9c98a232f7403d63d3ebd370911", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000649", "prompt": "Calculate: 94934 * 5703 + 2428 / (-5552)", "solution_steps": ["Multiply: 94934 * 5703 = 541408602", "Divide: 2428 / (-5552) = -607/1388", "Add: 541408602 + (-607/1388) = 751475138969/1388"], "final_answer": "751475138969/1388", "answer_type": "rational", "kind": "expression", "math_text": "94934 * 5703 + 2428 / (-5552)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 94934, \"b\": 5703, \"c\": 2428, \"d\": -5552}", "seed": "10813540338196277858", "semantic_fingerprint": "sha256:9761cbf8dfe3c51a31fc15a46c5c6010f612ce250ccec7772b6ea5e796d1f831", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000650", "prompt": "Evaluate: 85678 + 91413 - (-43075) + (-5411 + (73972 + (-35887)))", "solution_steps": ["Add: 85678 + 91413 = 177091", "Subtract: 177091 - (-43075) = 220166", "Add: 73972 + (-35887) = 38085", "Add: -5411 + 38085 = 32674", "Add: 220166 + 32674 = 252840"], "final_answer": "252840", "answer_type": "integer", "kind": "expression", "math_text": "85678 + 91413 - (-43075) + (-5411 + (73972 + (-35887)))", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 85678, \"b\": 91413, \"c\": -43075, \"d\": -5411, \"e\": 73972, \"f\": -35887}", "seed": "6991627724038406324", "semantic_fingerprint": "sha256:ef0765b5f053e618e49591e8f69ad3bf61c6ca50e79a0a77a06a80a15cde1ab6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000651", "prompt": "Evaluate: -1630 - (-6161) - (-7768) * 38599", "solution_steps": ["Subtract: -1630 - (-6161) = 4531", "Multiply: -7768 * 38599 = -299837032", "Subtract: 4531 - (-299837032) = 299841563"], "final_answer": "299841563", "answer_type": "integer", "kind": "expression", "math_text": "-1630 - (-6161) - (-7768) * 38599", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1630, \"b\": -6161, \"c\": -7768, \"d\": 38599}", "seed": "12570564069414585731", "semantic_fingerprint": "sha256:eb9b090c079b3a97a21d3d07d63bdf2e4b9838a3badba7132007b707ff3cdfd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000652", "prompt": "Evaluate: 18855 * 3374 / (-4135)", "solution_steps": ["Multiply: 18855 * 3374 = 63616770", "Divide: 63616770 / (-4135) = -12723354/827"], "final_answer": "-12723354/827", "answer_type": "rational", "kind": "expression", "math_text": "18855 * 3374 / (-4135)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18855, \"b\": 3374, \"c\": -4135}", "seed": "11679571329665826788", "semantic_fingerprint": "sha256:063e84de7e4ff562e08056fcf9dd011a4f423a081a3c60718999005594524b77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000653", "prompt": "Evaluate: 7648 / 53367", "solution_steps": ["Divide: 7648 / 53367 = 7648/53367"], "final_answer": "7648/53367", "answer_type": "rational", "kind": "expression", "math_text": "7648 / 53367", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7648, \"b\": 53367}", "seed": "822007792528053145", "semantic_fingerprint": "sha256:16fcccb3f5b993aac3670ae8d08deaf1399e1a5796e425f2e50a4e8632393935", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000654", "prompt": "What is 7990 - 76658?", "solution_steps": ["Subtract: 7990 - 76658 = -68668"], "final_answer": "-68668", "answer_type": "integer", "kind": "expression", "math_text": "7990 - 76658", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7990, \"b\": 76658}", "seed": "6806804609027003844", "semantic_fingerprint": "sha256:1f65f5279139839aeaac435ea4d2834bbe33dcc6f1b5d2228b94e12b063b149e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000655", "prompt": "Calculate: -1191 * 4365 / (9608 - 50244)", "solution_steps": ["Multiply: -1191 * 4365 = -5198715", "Subtract: 9608 - 50244 = -40636", "Divide: -5198715 / (-40636) = 5198715/40636"], "final_answer": "5198715/40636", "answer_type": "rational", "kind": "expression", "math_text": "-1191 * 4365 / (9608 - 50244)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1191, \"b\": 4365, \"c\": 9608, \"d\": 50244}", "seed": "8334825192170402594", "semantic_fingerprint": "sha256:816a31011dcc10981bcee4b0486e573ac5b9c054ab37b5c8568a4137d67c48b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000656", "prompt": "What is 50717 - 8756?", "solution_steps": ["Subtract: 50717 - 8756 = 41961"], "final_answer": "41961", "answer_type": "integer", "kind": "expression", "math_text": "50717 - 8756", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 50717, \"b\": 8756}", "seed": "9129813530906643624", "semantic_fingerprint": "sha256:9f4c0587938edea82556e6063e9955640e30203488699e0d89870a23addc6369", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000657", "prompt": "Evaluate: -5868 * (-1092 - (-3649) - 59518 / 17473)", "solution_steps": ["Subtract: -1092 - (-3649) = 2557", "Divide: 59518 / 17473 = 59518/17473", "Subtract: 2557 - 59518/17473 = 44618943/17473", "Multiply: -5868 * (44618943/17473) = -261823957524/17473"], "final_answer": "-261823957524/17473", "answer_type": "rational", "kind": "expression", "math_text": "-5868 * (-1092 - (-3649) - 59518 / 17473)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5868, \"b\": -1092, \"c\": -3649, \"d\": 59518, \"e\": 17473}", "seed": "1560248353672458106", "semantic_fingerprint": "sha256:dae879b3370383b8b96a2809d652f6575f8315b8174abcab3a02e157d9dca391", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000658", "prompt": "Compute: 1184 * ((49015 - (-4762)) * 7137)", "solution_steps": ["Subtract: 49015 - (-4762) = 53777", "Multiply: 53777 * 7137 = 383806449", "Multiply: 1184 * 383806449 = 454426835616"], "final_answer": "454426835616", "answer_type": "integer", "kind": "expression", "math_text": "1184 * ((49015 - (-4762)) * 7137)", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1184, \"b\": 49015, \"c\": -4762, \"d\": 7137}", "seed": "12940604104259146571", "semantic_fingerprint": "sha256:4ea79d591fb64338af28161012eb6c04a9c23e6ff3f5ec09ee9ef7aa628435fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000659", "prompt": "Calculate: 99346 / (-3413) + (6588 + 42416)", "solution_steps": ["Divide: 99346 / (-3413) = -99346/3413", "Add: 6588 + 42416 = 49004", "Add: -99346/3413 + 49004 = 167151306/3413"], "final_answer": "167151306/3413", "answer_type": "rational", "kind": "expression", "math_text": "99346 / (-3413) + (6588 + 42416)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 99346, \"b\": -3413, \"c\": 6588, \"d\": 42416}", "seed": "10261235679106746575", "semantic_fingerprint": "sha256:e6767770c94bb188af1513c59640727f259fd8a7c6c4a933dcf812184f0d3079", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000660", "prompt": "Solve for x: x + 3876 = -33x", "solution_steps": ["Add 33x to both sides: 34x + 3876 = 0", "Subtract 3876 from both sides: 34x = -3876", "Divide both sides by 34: x = -114"], "final_answer": "-114", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3876 = -33x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33, \"c\": 3876, \"x\": -114}", "seed": "3206378312674035296", "semantic_fingerprint": "sha256:44a3792e82d8fa4ef085a82f0c1c100ccec56b1e2dea4cec8e7c4bbc153cdc3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000661", "prompt": "What value of x satisfies 40(x - 1808) + 5941 = -14(x - 9033) - 5604?", "solution_steps": ["Expand: 40x - 72320 + 5941 = -14(x - 9033) - 5604", "Expand: 40x - 72320 + 5941 = -14x + 126462 - 5604", "Combine constants: 40x - 66379 = -14x + 126462 - 5604", "Combine constants: 40x - 66379 = -14x + 120858", "Add 14x to both sides: 54x - 66379 = 120858", "Add 66379 to both sides: 54x = 187237", "Divide both sides by 54: x = 187237/54"], "final_answer": "187237/54", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 1808) + 5941 = -14(x - 9033) - 5604", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 1808, \"c\": 5941, \"d\": -14, \"e\": 9033, \"f\": 5604}", "seed": "16159942539948569497", "semantic_fingerprint": "sha256:b7b0060a33fa392f126d1232e7dfdef88f98864953c44162a88c3f9af6a8ccdd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000662", "prompt": "Evaluate: 2194 + 6509", "solution_steps": ["Add: 2194 + 6509 = 8703"], "final_answer": "8703", "answer_type": "integer", "kind": "expression", "math_text": "2194 + 6509", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2194, \"b\": 6509}", "seed": "6991683743410735975", "semantic_fingerprint": "sha256:2fcb1d6af6dbfb92046126711dfd1971a54da7b2bb44614833d865ff39773a39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000663", "prompt": "What is -2392 + (8910 + (-62809))?", "solution_steps": ["Add: 8910 + (-62809) = -53899", "Add: -2392 + (-53899) = -56291"], "final_answer": "-56291", "answer_type": "integer", "kind": "expression", "math_text": "-2392 + (8910 + (-62809))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2392, \"b\": 8910, \"c\": -62809}", "seed": "7553547542869524638", "semantic_fingerprint": "sha256:beec3155fb6e2e295ebb943d308f62d24906c55d0ddcf964e80b4f29df9824b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000664", "prompt": "What is 4101 - (8896 - (-3930)) - (-63768)?", "solution_steps": ["Subtract: 8896 - (-3930) = 12826", "Subtract: 4101 - 12826 = -8725", "Subtract: -8725 - (-63768) = 55043"], "final_answer": "55043", "answer_type": "integer", "kind": "expression", "math_text": "4101 - (8896 - (-3930)) - (-63768)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4101, \"b\": 8896, \"c\": -3930, \"d\": -63768}", "seed": "15680957381001813079", "semantic_fingerprint": "sha256:166e81e61e27b681f4dc3be3101356e5ba1cc8ad93fedfe9578a25256fb670f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000665", "prompt": "What is 87372 / (-5558)?", "solution_steps": ["Divide: 87372 / (-5558) = -43686/2779"], "final_answer": "-43686/2779", "answer_type": "rational", "kind": "expression", "math_text": "87372 / (-5558)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 87372, \"b\": -5558}", "seed": "9911298681607928376", "semantic_fingerprint": "sha256:d78e1de1f674d9a4f6d188b459c60260094e7307c0ae5eb9c3e762194e9c7045", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000666", "prompt": "Solve for x: 25(x - 5218) = 30(x + 56931)", "solution_steps": ["Expand: 25x - 130450 = 30(x + 56931)", "Expand: 25x - 130450 = 30x + 1707930", "Subtract 30x from both sides: -5x - 130450 = 1707930", "Add 130450 to both sides: -5x = 1838380", "Divide both sides by -5: x = -367676"], "final_answer": "-367676", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 5218) = 30(x + 56931)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 5218, \"c\": 30, \"d\": 56931}", "seed": "4816425312144676120", "semantic_fingerprint": "sha256:044b2550c6f69e9a4bec9523bf9a985dc4a4b1de83485697c4aaf12a8c9a855d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000667", "prompt": "Compute: -2723 - (-4279)", "solution_steps": ["Subtract: -2723 - (-4279) = 1556"], "final_answer": "1556", "answer_type": "integer", "kind": "expression", "math_text": "-2723 - (-4279)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2723, \"b\": -4279}", "seed": "14643960789413956043", "semantic_fingerprint": "sha256:2c6ee267a2c385db832c5216f5767e5b9f5e6843670f87fadd2ac56a3c61907a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000668", "prompt": "Evaluate: -8059 * (-3108)", "solution_steps": ["Multiply: -8059 * (-3108) = 25047372"], "final_answer": "25047372", "answer_type": "integer", "kind": "expression", "math_text": "-8059 * (-3108)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8059, \"b\": -3108}", "seed": "10275337754036893231", "semantic_fingerprint": "sha256:a95c41e00fd1050006831661426a6f276ee14d14aebad23ca62694f860161bc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000669", "prompt": "Solve the equation x - 9771 = 24x - 12991 for x.", "solution_steps": ["Subtract 24x from both sides: -23x - 9771 = -12991", "Add 9771 to both sides: -23x = -3220", "Divide both sides by -23: x = 140"], "final_answer": "140", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9771 = 24x - 12991", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9771, \"b\": 24, \"d\": -12991, \"x\": 140}", "seed": "18232900980037278146", "semantic_fingerprint": "sha256:f816498fce464b430f25414b9218c1cb5d05f171137114e6204ce07c60cd2088", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000670", "prompt": "What is -5189 + (-85183)?", "solution_steps": ["Add: -5189 + (-85183) = -90372"], "final_answer": "-90372", "answer_type": "integer", "kind": "expression", "math_text": "-5189 + (-85183)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5189, \"b\": -85183}", "seed": "17286134519140687809", "semantic_fingerprint": "sha256:e17928b9e0d21e99345ec48b45029dd60448c1ec04dce9afb7bfc25c330579d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000671", "prompt": "Calculate: (2413 + 9930) * 21455", "solution_steps": ["Add: 2413 + 9930 = 12343", "Multiply: 12343 * 21455 = 264819065"], "final_answer": "264819065", "answer_type": "integer", "kind": "expression", "math_text": "(2413 + 9930) * 21455", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2413, \"b\": 9930, \"c\": 21455}", "seed": "4064483664466197647", "semantic_fingerprint": "sha256:d2e47b395b6ac3a61e1987e7e03a920de2a0b6cd43554aa04043c2a472dfe147", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000672", "prompt": "What is -56571 / (-4491)?", "solution_steps": ["Divide: -56571 / (-4491) = 18857/1497"], "final_answer": "18857/1497", "answer_type": "rational", "kind": "expression", "math_text": "-56571 / (-4491)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -56571, \"b\": -4491}", "seed": "12306301805728827758", "semantic_fingerprint": "sha256:969c40ae4e35c31a5a485984aab31d48eb8577c596462d5deac245d4adbb007e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000673", "prompt": "What is -1696 + (-20539) / (-87498)?", "solution_steps": ["Divide: -20539 / (-87498) = 20539/87498", "Add: -1696 + 20539/87498 = -148376069/87498"], "final_answer": "-148376069/87498", "answer_type": "rational", "kind": "expression", "math_text": "-1696 + (-20539) / (-87498)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1696, \"b\": -20539, \"c\": -87498}", "seed": "919862525759103803", "semantic_fingerprint": "sha256:70a2847f929aaa6ae36fd661ba65e85b8445b303cdb77fe1b77a8da996338897", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000674", "prompt": "Find x: x + 38898 = 34(x + 3034) - 65215", "solution_steps": ["Expand: x + 38898 = 34x + 103156 - 65215", "Combine constants: x + 38898 = 34x + 37941", "Subtract 34x from both sides: -33x + 38898 = 37941", "Subtract 38898 from both sides: -33x = -957", "Divide both sides by -33: x = 29"], "final_answer": "29", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 38898 = 34(x + 3034) - 65215", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38898, \"b\": 34, \"c\": 3034, \"e\": -65215, \"x\": 29}", "seed": "999075873836580884", "semantic_fingerprint": "sha256:26e1f19db5ec956852c24361529a62f84419995a09aa3c0479f120100831acb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000675", "prompt": "Solve the equation x - 63191 = 21x for x.", "solution_steps": ["Subtract 21x from both sides: -20x - 63191 = 0", "Add 63191 to both sides: -20x = 63191", "Divide both sides by -20: x = -63191/20"], "final_answer": "-63191/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 63191 = 21x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63191, \"b\": 21}", "seed": "17147790575485306278", "semantic_fingerprint": "sha256:76e04754dd64a54873292a4fb5953185415305f9eac4df982da53f6f6ccac837", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000676", "prompt": "What is 1682 * 5360 - (2687 - 66666) + (7134 + (-6706))?", "solution_steps": ["Multiply: 1682 * 5360 = 9015520", "Subtract: 2687 - 66666 = -63979", "Subtract: 9015520 - (-63979) = 9079499", "Add: 7134 + (-6706) = 428", "Add: 9079499 + 428 = 9079927"], "final_answer": "9079927", "answer_type": "integer", "kind": "expression", "math_text": "1682 * 5360 - (2687 - 66666) + (7134 + (-6706))", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1682, \"b\": 5360, \"c\": 2687, \"d\": 66666, \"e\": 7134, \"f\": -6706}", "seed": "10505415678917507090", "semantic_fingerprint": "sha256:509a6384466b69b042dd336edec6e7234efffe8f83f6b4085041efa79ae456f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000677", "prompt": "Calculate: 97483 - (35572 - 1025)", "solution_steps": ["Subtract: 35572 - 1025 = 34547", "Subtract: 97483 - 34547 = 62936"], "final_answer": "62936", "answer_type": "integer", "kind": "expression", "math_text": "97483 - (35572 - 1025)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 97483, \"b\": 35572, \"c\": 1025}", "seed": "1919187867370685237", "semantic_fingerprint": "sha256:bfd4e46126e32881bd34b039e1a321a39ea78fcb40ba224a44f3a4050149ec46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000678", "prompt": "What is 1097 / 7996?", "solution_steps": ["Divide: 1097 / 7996 = 1097/7996"], "final_answer": "1097/7996", "answer_type": "rational", "kind": "expression", "math_text": "1097 / 7996", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1097, \"b\": 7996}", "seed": "14515664871102072810", "semantic_fingerprint": "sha256:3cb91677d067aee1389bb6e11ffc3873613f778a199019b4b101b7708118084b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000679", "prompt": "What value of x satisfies x = 35x + 31283?", "solution_steps": ["Subtract 35x from both sides: -34x = 31283", "Divide both sides by -34: x = -31283/34"], "final_answer": "-31283/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 35x + 31283", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 31283}", "seed": "9583189669759866558", "semantic_fingerprint": "sha256:4164d945485bf1c7939cb3c4996faa4851b9f03b1add715d8cc9fc0887208efe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000680", "prompt": "Solve for x: x - 2623 = 37x + 6959", "solution_steps": ["Subtract 37x from both sides: -36x - 2623 = 6959", "Add 2623 to both sides: -36x = 9582", "Divide both sides by -36: x = -1597/6"], "final_answer": "-1597/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2623 = 37x + 6959", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2623, \"b\": 37, \"c\": 6959}", "seed": "9993002379431724268", "semantic_fingerprint": "sha256:0e05ccdc1ae7a63876c7c27a1a422d3ca4c629b781bbfd40412a1e1381d95ff2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000681", "prompt": "Find x: 31(x - 6546) = 39x + 6206", "solution_steps": ["Expand: 31x - 202926 = 39x + 6206", "Subtract 39x from both sides: -8x - 202926 = 6206", "Add 202926 to both sides: -8x = 209132", "Divide both sides by -8: x = -52283/2"], "final_answer": "-52283/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 6546) = 39x + 6206", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 6546, \"c\": 39, \"d\": 6206}", "seed": "3511072405970664967", "semantic_fingerprint": "sha256:d03c7b763f03b4775742805e6ccd097b296acfc7a3423a9b47c390a1a5ce5b19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000682", "prompt": "Calculate: -4531 + (-19046) + (-7309 * 46475 + (-5030))", "solution_steps": ["Add: -4531 + (-19046) = -23577", "Multiply: -7309 * 46475 = -339685775", "Add: -339685775 + (-5030) = -339690805", "Add: -23577 + (-339690805) = -339714382"], "final_answer": "-339714382", "answer_type": "integer", "kind": "expression", "math_text": "-4531 + (-19046) + (-7309 * 46475 + (-5030))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4531, \"b\": -19046, \"c\": -7309, \"d\": 46475, \"e\": -5030}", "seed": "723729065308716314", "semantic_fingerprint": "sha256:bdaff92c79faccea284072c86bf779ac5e03c03779bb8cb46d32a7e2abfd529e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000683", "prompt": "Calculate: (6541 - (-1363)) * 44957", "solution_steps": ["Subtract: 6541 - (-1363) = 7904", "Multiply: 7904 * 44957 = 355340128"], "final_answer": "355340128", "answer_type": "integer", "kind": "expression", "math_text": "(6541 - (-1363)) * 44957", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6541, \"b\": -1363, \"c\": 44957}", "seed": "6385871831762142724", "semantic_fingerprint": "sha256:6d5f9084124b65e537b0206854e9c74cab0b9bceeeefbcba637dbf9b0a5b07e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000684", "prompt": "Calculate: -4540 * 51775 - (-3472)", "solution_steps": ["Multiply: -4540 * 51775 = -235058500", "Subtract: -235058500 - (-3472) = -235055028"], "final_answer": "-235055028", "answer_type": "integer", "kind": "expression", "math_text": "-4540 * 51775 - (-3472)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4540, \"b\": 51775, \"c\": -3472}", "seed": "4612131574946733409", "semantic_fingerprint": "sha256:330384ee911515ae96243de5852adbd7ef893c80b6ed3a7e4c0d38dd4f96a370", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000685", "prompt": "Compute: -3220 * (-1801) - (92485 - 92520 + (-7541)) * 3141", "solution_steps": ["Multiply: -3220 * (-1801) = 5799220", "Subtract: 92485 - 92520 = -35", "Add: -35 + (-7541) = -7576", "Multiply: -7576 * 3141 = -23796216", "Subtract: 5799220 - (-23796216) = 29595436"], "final_answer": "29595436", "answer_type": "integer", "kind": "expression", "math_text": "-3220 * (-1801) - (92485 - 92520 + (-7541)) * 3141", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (+ (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3220, \"b\": -1801, \"c\": 92485, \"d\": 92520, \"e\": -7541, \"f\": 3141}", "seed": "16088596730248659077", "semantic_fingerprint": "sha256:5d8ee98c689c87f30db2f33879d7eaaa6833e156f4aafcbf091157bf0a9dd37c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000686", "prompt": "Calculate: (-1988 + (-5685)) * (-1270) + (-36305 + 87819)", "solution_steps": ["Add: -1988 + (-5685) = -7673", "Multiply: -7673 * (-1270) = 9744710", "Add: -36305 + 87819 = 51514", "Add: 9744710 + 51514 = 9796224"], "final_answer": "9796224", "answer_type": "integer", "kind": "expression", "math_text": "(-1988 + (-5685)) * (-1270) + (-36305 + 87819)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1988, \"b\": -5685, \"c\": -1270, \"d\": -36305, \"e\": 87819}", "seed": "4612974612287970365", "semantic_fingerprint": "sha256:4800515823a25f038a1f364f562e3da7eefc9bfc1a814e37c45cd13ba5834a9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000687", "prompt": "Evaluate: -3067 - 4001 - (-6140) * (60627 / 6868)", "solution_steps": ["Subtract: -3067 - 4001 = -7068", "Divide: 60627 / 6868 = 60627/6868", "Multiply: -6140 * (60627/6868) = -93062445/1717", "Subtract: -7068 - (-93062445/1717) = 80926689/1717"], "final_answer": "80926689/1717", "answer_type": "rational", "kind": "expression", "math_text": "-3067 - 4001 - (-6140) * (60627 / 6868)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3067, \"b\": 4001, \"c\": -6140, \"d\": 60627, \"e\": 6868}", "seed": "14350382833934830878", "semantic_fingerprint": "sha256:f8fd0db664ab5df675c2ec27ef10041904482957bbffa0e1f0f1640eb8b8fe65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000688", "prompt": "Solve the equation x + 9291 = 27x for x.", "solution_steps": ["Subtract 27x from both sides: -26x + 9291 = 0", "Subtract 9291 from both sides: -26x = -9291", "Divide both sides by -26: x = 9291/26"], "final_answer": "9291/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9291 = 27x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9291, \"b\": 27}", "seed": "16435556491830452001", "semantic_fingerprint": "sha256:a65269a6709466b9c069ee952485abf1023388cc39e3c7fde1733f86badd2150", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000689", "prompt": "Evaluate: -8975 * (-2494) * (25434 / 8811) - (-2870)", "solution_steps": ["Multiply: -8975 * (-2494) = 22383650", "Divide: 25434 / 8811 = 2826/979", "Multiply: 22383650 * (2826/979) = 63256194900/979", "Subtract: 63256194900/979 - (-2870) = 63259004630/979"], "final_answer": "63259004630/979", "answer_type": "rational", "kind": "expression", "math_text": "-8975 * (-2494) * (25434 / 8811) - (-2870)", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8975, \"b\": -2494, \"c\": 25434, \"d\": 8811, \"e\": -2870}", "seed": "12714804803239503490", "semantic_fingerprint": "sha256:41edd66bdef2dbdc453d833a04f0ccde6cff8e53f8cdc2858f27d18ac81e0a9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000690", "prompt": "Find x: 39x + 1254 = x", "solution_steps": ["Subtract x from both sides: 38x + 1254 = 0", "Subtract 1254 from both sides: 38x = -1254", "Divide both sides by 38: x = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x + 1254 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": 1254, \"x\": -33}", "seed": "10833774511945040830", "semantic_fingerprint": "sha256:cb4ec4370cae8aef87e8e8e6919db0466b69933e517cecafd1aa1ae90c0678b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000691", "prompt": "What value of x satisfies 22x - 3658 = 16(x - 48708) + 21485?", "solution_steps": ["Expand: 22x - 3658 = 16x - 779328 + 21485", "Combine constants: 22x - 3658 = 16x - 757843", "Subtract 16x from both sides: 6x - 3658 = -757843", "Add 3658 to both sides: 6x = -754185", "Divide both sides by 6: x = -251395/2"], "final_answer": "-251395/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x - 3658 = 16(x - 48708) + 21485", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 3658, \"c\": 16, \"d\": 48708, \"e\": 21485}", "seed": "17099331396432907739", "semantic_fingerprint": "sha256:bfe1dbfdbbe9fd4ec5cdd41559300ea52139d0723db028a455f6a3051a86e7dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000692", "prompt": "Evaluate: -49157 - (2290 + (-49815) + (-36334) * (-33702))", "solution_steps": ["Add: 2290 + (-49815) = -47525", "Multiply: -36334 * (-33702) = 1224528468", "Add: -47525 + 1224528468 = 1224480943", "Subtract: -49157 - 1224480943 = -1224530100"], "final_answer": "-1224530100", "answer_type": "integer", "kind": "expression", "math_text": "-49157 - (2290 + (-49815) + (-36334) * (-33702))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -49157, \"b\": 2290, \"c\": -49815, \"d\": -36334, \"e\": -33702}", "seed": "9353978593112779725", "semantic_fingerprint": "sha256:1ae27a27c4fbd01c87e2e7b4d2edb7bdc54d95b4c7e793daf617a0478b832386", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000693", "prompt": "Calculate: 87481 - 91616 / 1453 * 29536", "solution_steps": ["Divide: 91616 / 1453 = 91616/1453", "Multiply: (91616/1453) * 29536 = 2705970176/1453", "Subtract: 87481 - 2705970176/1453 = -2578860283/1453"], "final_answer": "-2578860283/1453", "answer_type": "rational", "kind": "expression", "math_text": "87481 - 91616 / 1453 * 29536", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 87481, \"b\": 91616, \"c\": 1453, \"d\": 29536}", "seed": "11762289645833366708", "semantic_fingerprint": "sha256:7ad7035df00e2837c6248a5136535c16419293e417e35467398c67d1adeff672", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000694", "prompt": "Solve for x: x = 39(x + 90770)", "solution_steps": ["Expand: x = 39x + 3540030", "Subtract 39x from both sides: -38x = 3540030", "Divide both sides by -38: x = -1770015/19"], "final_answer": "-1770015/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 39(x + 90770)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 90770}", "seed": "11927730066092417541", "semantic_fingerprint": "sha256:22ec0cc8864f4da3be0dc2c0a901f39bae3036b4e61763845fbf2425af4c6f6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000695", "prompt": "Evaluate: -70389 * 6883 - 1179", "solution_steps": ["Multiply: -70389 * 6883 = -484487487", "Subtract: -484487487 - 1179 = -484488666"], "final_answer": "-484488666", "answer_type": "integer", "kind": "expression", "math_text": "-70389 * 6883 - 1179", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -70389, \"b\": 6883, \"c\": 1179}", "seed": "3935493147530951657", "semantic_fingerprint": "sha256:6d2ff8c9a68542c1cdf735f4dfebb4b78f5b4a520d42020e13bca196bbbc72d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000696", "prompt": "Evaluate: 21990 - 30080", "solution_steps": ["Subtract: 21990 - 30080 = -8090"], "final_answer": "-8090", "answer_type": "integer", "kind": "expression", "math_text": "21990 - 30080", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 21990, \"b\": 30080}", "seed": "13442456207716235900", "semantic_fingerprint": "sha256:b79ec4448afd99880ab8d8cc34309ee0a5a2f9fc125fc792d9c387d19f3f48ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000697", "prompt": "Compute: (2217 + 3413) / 11045", "solution_steps": ["Add: 2217 + 3413 = 5630", "Divide: 5630 / 11045 = 1126/2209"], "final_answer": "1126/2209", "answer_type": "rational", "kind": "expression", "math_text": "(2217 + 3413) / 11045", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2217, \"b\": 3413, \"c\": 11045}", "seed": "5520079626051258933", "semantic_fingerprint": "sha256:9819aacd2e837e2ccc578ea4d55bdf758e91ec751951e1770900297d44a0f5a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000698", "prompt": "Evaluate: -5117 - (-6953 - (-9313))", "solution_steps": ["Subtract: -6953 - (-9313) = 2360", "Subtract: -5117 - 2360 = -7477"], "final_answer": "-7477", "answer_type": "integer", "kind": "expression", "math_text": "-5117 - (-6953 - (-9313))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5117, \"b\": -6953, \"c\": -9313}", "seed": "2862692142024387575", "semantic_fingerprint": "sha256:c9a5d66e9921ebc25139560c26b6baf86824397584532e01a8db585170fb020d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000699", "prompt": "Solve for x: -16(x + 48070) = x", "solution_steps": ["Expand: -16x - 769120 = x", "Subtract x from both sides: -17x - 769120 = 0", "Add 769120 to both sides: -17x = 769120", "Divide both sides by -17: x = -769120/17"], "final_answer": "-769120/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 48070) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 48070}", "seed": "12738810340514027429", "semantic_fingerprint": "sha256:d28b41a2e000b46b39cb69fd1b87fa8f7bf1d989c1fd7c92cc36c83cbc2f1048", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000700", "prompt": "Solve for x: x = -22(x - 7522) + 31697", "solution_steps": ["Expand: x = -22x + 165484 + 31697", "Combine constants: x = -22x + 197181", "Add 22x to both sides: 23x = 197181", "Divide both sides by 23: x = 197181/23"], "final_answer": "197181/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -22(x - 7522) + 31697", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 7522, \"c\": 31697}", "seed": "10323074023031897825", "semantic_fingerprint": "sha256:e657dc18953097e2da26761745c81115914a435c0638d926eaf335f385f9a720", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000701", "prompt": "Calculate: -3556 + (62141 - (-26061))", "solution_steps": ["Subtract: 62141 - (-26061) = 88202", "Add: -3556 + 88202 = 84646"], "final_answer": "84646", "answer_type": "integer", "kind": "expression", "math_text": "-3556 + (62141 - (-26061))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3556, \"b\": 62141, \"c\": -26061}", "seed": "3996608072262962513", "semantic_fingerprint": "sha256:ae9b09dbb82b06cd07b10d2b7a242a9c66894f993fc22847434e53eeb1a60ba3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000702", "prompt": "Compute: -3585 - (-5152) * 12232", "solution_steps": ["Multiply: -5152 * 12232 = -63019264", "Subtract: -3585 - (-63019264) = 63015679"], "final_answer": "63015679", "answer_type": "integer", "kind": "expression", "math_text": "-3585 - (-5152) * 12232", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3585, \"b\": -5152, \"c\": 12232}", "seed": "15101339247778678357", "semantic_fingerprint": "sha256:c86deeb87fcff0c7b220e5363a4824d8aa67186318a5e7a1e061e02403f8b74d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000703", "prompt": "Evaluate: -3343 * (-9509 - (-8292) - 5223)", "solution_steps": ["Subtract: -9509 - (-8292) = -1217", "Subtract: -1217 - 5223 = -6440", "Multiply: -3343 * (-6440) = 21528920"], "final_answer": "21528920", "answer_type": "integer", "kind": "expression", "math_text": "-3343 * (-9509 - (-8292) - 5223)", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3343, \"b\": -9509, \"c\": -8292, \"d\": 5223}", "seed": "2320068245662934636", "semantic_fingerprint": "sha256:99688473efdb4c4257280d27afcdd20fc029799984de9c0a5a9a05b776c2dfb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000704", "prompt": "Evaluate: 10748 / (-5466) + (-3541)", "solution_steps": ["Divide: 10748 / (-5466) = -5374/2733", "Add: -5374/2733 + (-3541) = -9682927/2733"], "final_answer": "-9682927/2733", "answer_type": "rational", "kind": "expression", "math_text": "10748 / (-5466) + (-3541)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10748, \"b\": -5466, \"c\": -3541}", "seed": "3920169497599090016", "semantic_fingerprint": "sha256:30842c2f16bfa32474b6b8fb4d6f93639c97a94460c946cd6dc4fdffd5fe3efb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000705", "prompt": "Solve for x: 15x + 3980 = -18(x + 3483) + 69710", "solution_steps": ["Expand: 15x + 3980 = -18x - 62694 + 69710", "Combine constants: 15x + 3980 = -18x + 7016", "Add 18x to both sides: 33x + 3980 = 7016", "Subtract 3980 from both sides: 33x = 3036", "Divide both sides by 33: x = 92"], "final_answer": "92", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x + 3980 = -18(x + 3483) + 69710", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 3980, \"c\": -18, \"d\": 3483, \"f\": 69710, \"x\": 92}", "seed": "14302676379202308640", "semantic_fingerprint": "sha256:6190a20b1dd3312ca90eb5ddcff09dd1439bbaa83f032aa344fcdbe8723750e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000706", "prompt": "What is 90827 / 7940 * (-2912)?", "solution_steps": ["Divide: 90827 / 7940 = 90827/7940", "Multiply: (90827/7940) * (-2912) = -66122056/1985"], "final_answer": "-66122056/1985", "answer_type": "rational", "kind": "expression", "math_text": "90827 / 7940 * (-2912)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90827, \"b\": 7940, \"c\": -2912}", "seed": "86013478910209572", "semantic_fingerprint": "sha256:59d58f97d03d5b722fedcfd8859156a9a26663dcf4cef84f8444a08240173ad2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000707", "prompt": "Calculate: -6311 + (55783 - (-32228) / (-65727) + 6585)", "solution_steps": ["Divide: -32228 / (-65727) = 32228/65727", "Subtract: 55783 - 32228/65727 = 3666417013/65727", "Add: 3666417013/65727 + 6585 = 4099229308/65727", "Add: -6311 + 4099229308/65727 = 3684426211/65727"], "final_answer": "3684426211/65727", "answer_type": "rational", "kind": "expression", "math_text": "-6311 + (55783 - (-32228) / (-65727) + 6585)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6311, \"b\": 55783, \"c\": -32228, \"d\": -65727, \"e\": 6585}", "seed": "7747898910970800891", "semantic_fingerprint": "sha256:13e6dc0c1efa15910a87b6494a4937815c5f2588a56d4bbc3e0225daf1b0aa9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000708", "prompt": "Calculate: 48544 + (-2798) + (-96206)", "solution_steps": ["Add: 48544 + (-2798) = 45746", "Add: 45746 + (-96206) = -50460"], "final_answer": "-50460", "answer_type": "integer", "kind": "expression", "math_text": "48544 + (-2798) + (-96206)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 48544, \"b\": -2798, \"c\": -96206}", "seed": "722290671692038912", "semantic_fingerprint": "sha256:0bcafd28258f873d9cb5bb0afdf515d460900b17c4c19c58c29787939202b819", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000709", "prompt": "Solve for x: 27(x + 47802) + 3226 = x - 7949", "solution_steps": ["Expand: 27x + 1290654 + 3226 = x - 7949", "Combine constants: 27x + 1293880 = x - 7949", "Subtract x from both sides: 26x + 1293880 = -7949", "Subtract 1293880 from both sides: 26x = -1301829", "Divide both sides by 26: x = -1301829/26"], "final_answer": "-1301829/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 47802) + 3226 = x - 7949", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 47802, \"c\": 3226, \"d\": 7949}", "seed": "12169491225660119966", "semantic_fingerprint": "sha256:bc2e776a2fe060780fcbd1ea7944c6b80543db64a2e07119a8cc803def593b1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000710", "prompt": "Calculate: 18248 - (-14456 - 36048) + (-45711)", "solution_steps": ["Subtract: -14456 - 36048 = -50504", "Subtract: 18248 - (-50504) = 68752", "Add: 68752 + (-45711) = 23041"], "final_answer": "23041", "answer_type": "integer", "kind": "expression", "math_text": "18248 - (-14456 - 36048) + (-45711)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18248, \"b\": -14456, \"c\": 36048, \"d\": -45711}", "seed": "3321463311003649943", "semantic_fingerprint": "sha256:f51a5f5f71f499b5d46d9023ff37899903f72d5ddaf76aa7a84c24fdc2985765", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000711", "prompt": "What is 5718 + (-78772) + 4851 + 92173?", "solution_steps": ["Add: 5718 + (-78772) = -73054", "Add: -73054 + 4851 = -68203", "Add: -68203 + 92173 = 23970"], "final_answer": "23970", "answer_type": "integer", "kind": "expression", "math_text": "5718 + (-78772) + 4851 + 92173", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5718, \"b\": -78772, \"c\": 4851, \"d\": 92173}", "seed": "14562742059227010695", "semantic_fingerprint": "sha256:c0c02ecfceda12247b394d3a2eef6e2bf15d4f0cf21a655317bead8683053721", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000712", "prompt": "Solve for x: 18(x + 5722) + 3508 = -22(x - 99649)", "solution_steps": ["Expand: 18x + 102996 + 3508 = -22(x - 99649)", "Expand: 18x + 102996 + 3508 = -22x + 2192278", "Combine constants: 18x + 106504 = -22x + 2192278", "Add 22x to both sides: 40x + 106504 = 2192278", "Subtract 106504 from both sides: 40x = 2085774", "Divide both sides by 40: x = 1042887/20"], "final_answer": "1042887/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 5722) + 3508 = -22(x - 99649)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 5722, \"c\": 3508, \"d\": -22, \"e\": 99649}", "seed": "9842642506827108267", "semantic_fingerprint": "sha256:1395e6d09d6e7a3b7880f0adec10f3d061d162c919fcd3ebd1093ae4c689340f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000713", "prompt": "Evaluate: -9035 / (-79353 - 36460)", "solution_steps": ["Subtract: -79353 - 36460 = -115813", "Divide: -9035 / (-115813) = 9035/115813"], "final_answer": "9035/115813", "answer_type": "rational", "kind": "expression", "math_text": "-9035 / (-79353 - 36460)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9035, \"b\": -79353, \"c\": 36460}", "seed": "18143185165006234432", "semantic_fingerprint": "sha256:b80c5fdc3c437743c88a3c532f8d5864641f792340f61c1ab10f7adae4351ad7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000714", "prompt": "Solve for x: x - 2619 = 17x - 5787", "solution_steps": ["Subtract 17x from both sides: -16x - 2619 = -5787", "Add 2619 to both sides: -16x = -3168", "Divide both sides by -16: x = 198"], "final_answer": "198", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2619 = 17x - 5787", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2619, \"b\": 17, \"d\": -5787, \"x\": 198}", "seed": "11002210762977760270", "semantic_fingerprint": "sha256:f131ddc31ad7c468a09393067438531bfd4d9092b96e0a259446eaf1ead10693", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000715", "prompt": "Compute: 9033 * (-47983 + (-6645))", "solution_steps": ["Add: -47983 + (-6645) = -54628", "Multiply: 9033 * (-54628) = -493454724"], "final_answer": "-493454724", "answer_type": "integer", "kind": "expression", "math_text": "9033 * (-47983 + (-6645))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9033, \"b\": -47983, \"c\": -6645}", "seed": "3144656129783092722", "semantic_fingerprint": "sha256:969726a4f5f2b4b71d0fb93aa61f3e85d782b06f83a42af0ea6166f20f577e9b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000716", "prompt": "Compute: 6501 - 8742 - 70856", "solution_steps": ["Subtract: 6501 - 8742 = -2241", "Subtract: -2241 - 70856 = -73097"], "final_answer": "-73097", "answer_type": "integer", "kind": "expression", "math_text": "6501 - 8742 - 70856", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6501, \"b\": 8742, \"c\": 70856}", "seed": "14316322526257783983", "semantic_fingerprint": "sha256:315835bc4594c3356d89f18696f6e0f80da4beb5dc8dfbb87b4080a592278376", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000717", "prompt": "Compute: -80192 * 1933", "solution_steps": ["Multiply: -80192 * 1933 = -155011136"], "final_answer": "-155011136", "answer_type": "integer", "kind": "expression", "math_text": "-80192 * 1933", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -80192, \"b\": 1933}", "seed": "5220619172170872009", "semantic_fingerprint": "sha256:cd4a2a2d97dcd5d2b55fdb688a5c60407215811c6bbb66986882161c2f4d6ca9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000718", "prompt": "What value of x satisfies 27(x + 5746) = x?", "solution_steps": ["Expand: 27x + 155142 = x", "Subtract x from both sides: 26x + 155142 = 0", "Subtract 155142 from both sides: 26x = -155142", "Divide both sides by 26: x = -5967"], "final_answer": "-5967", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x + 5746) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 5746}", "seed": "10638822665196907023", "semantic_fingerprint": "sha256:8362a2e164dbb18dc06f0d6caa8489c1d188e1ab7f6f10d64e22d056892e88c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000719", "prompt": "Compute: -93925 + (-9163)", "solution_steps": ["Add: -93925 + (-9163) = -103088"], "final_answer": "-103088", "answer_type": "integer", "kind": "expression", "math_text": "-93925 + (-9163)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -93925, \"b\": -9163}", "seed": "2632926117045191023", "semantic_fingerprint": "sha256:35f12ad62495dbf3be3c8c65d2f22371f68e0fbed773990c9b5f7a218bde490e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000720", "prompt": "Find x: -28(x - 3418) - 1294 = 32(x + 21725) - 6036", "solution_steps": ["Expand: -28x + 95704 - 1294 = 32(x + 21725) - 6036", "Expand: -28x + 95704 - 1294 = 32x + 695200 - 6036", "Combine constants: -28x + 94410 = 32x + 695200 - 6036", "Combine constants: -28x + 94410 = 32x + 689164", "Subtract 32x from both sides: -60x + 94410 = 689164", "Subtract 94410 from both sides: -60x = 594754", "Divide both sides by -60: x = -297377/30"], "final_answer": "-297377/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "-28(x - 3418) - 1294 = 32(x + 21725) - 6036", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 3418, \"c\": 1294, \"d\": 32, \"e\": 21725, \"f\": 6036}", "seed": "13603821732384279798", "semantic_fingerprint": "sha256:d564205fa818be5e43280b107fe13150879cc5a7aac0afab82fa28b7c7a9ed2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000721", "prompt": "Calculate: 1540 * (-4027) * (-3813 - (3993 - 2122))", "solution_steps": ["Multiply: 1540 * (-4027) = -6201580", "Subtract: 3993 - 2122 = 1871", "Subtract: -3813 - 1871 = -5684", "Multiply: -6201580 * (-5684) = 35249780720"], "final_answer": "35249780720", "answer_type": "integer", "kind": "expression", "math_text": "1540 * (-4027) * (-3813 - (3993 - 2122))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1540, \"b\": -4027, \"c\": -3813, \"d\": 3993, \"e\": 2122}", "seed": "8604298096104494057", "semantic_fingerprint": "sha256:fb0abcca76bcbfaf67c66562baac26131a07e67dd727311b48d5a78406582227", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000722", "prompt": "What value of x satisfies 25x = 17x?", "solution_steps": ["Subtract 17x from both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x = 17x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 17}", "seed": "10872008737972412312", "semantic_fingerprint": "sha256:59d402d2abefd4827549433e7169c6a25ddac5cad149a3ac62e00136301e81ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000723", "prompt": "Calculate: 8817 - 6554", "solution_steps": ["Subtract: 8817 - 6554 = 2263"], "final_answer": "2263", "answer_type": "integer", "kind": "expression", "math_text": "8817 - 6554", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8817, \"b\": 6554}", "seed": "249522759708705912", "semantic_fingerprint": "sha256:98889da2275d4c1fd89c0927e35ec955cbac3c4c9c41e771d485a57cb7505d62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000724", "prompt": "Solve for x: -15x = 22(x + 4028)", "solution_steps": ["Expand: -15x = 22x + 88616", "Subtract 22x from both sides: -37x = 88616", "Divide both sides by -37: x = -88616/37"], "final_answer": "-88616/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15x = 22(x + 4028)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 22, \"c\": 4028}", "seed": "5472330602400392953", "semantic_fingerprint": "sha256:c809b5abcb3f6baff62210ec07157958d56f58b16329128fa11e121d5d2b2469", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000725", "prompt": "Calculate: 7619 - 6702", "solution_steps": ["Subtract: 7619 - 6702 = 917"], "final_answer": "917", "answer_type": "integer", "kind": "expression", "math_text": "7619 - 6702", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7619, \"b\": 6702}", "seed": "683771265833220255", "semantic_fingerprint": "sha256:9683718dc5563ff0adee3b94eecbb97535c83cd29dec1a9a49a801676195998f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000726", "prompt": "Evaluate: 7684 * (5273 - (-60332 + (-63685)))", "solution_steps": ["Add: -60332 + (-63685) = -124017", "Subtract: 5273 - (-124017) = 129290", "Multiply: 7684 * 129290 = 993464360"], "final_answer": "993464360", "answer_type": "integer", "kind": "expression", "math_text": "7684 * (5273 - (-60332 + (-63685)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7684, \"b\": 5273, \"c\": -60332, \"d\": -63685}", "seed": "12200031146457709069", "semantic_fingerprint": "sha256:18640d9fff1d97cdb67c79a14bcda6e1e7f607c2997da69e31d0c79ef0a5dbf0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000727", "prompt": "Solve for x: 39x = x + 9307", "solution_steps": ["Subtract x from both sides: 38x = 9307", "Divide both sides by 38: x = 9307/38"], "final_answer": "9307/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x = x + 9307", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 9307}", "seed": "4305626228450431560", "semantic_fingerprint": "sha256:b658a4a811a9f16a91afb6855eef6280fccd3209c8a46a9863e879e8f82b9b1b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000728", "prompt": "Evaluate: 8265 + (-8674)", "solution_steps": ["Add: 8265 + (-8674) = -409"], "final_answer": "-409", "answer_type": "integer", "kind": "expression", "math_text": "8265 + (-8674)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8265, \"b\": -8674}", "seed": "5185618214143940608", "semantic_fingerprint": "sha256:7af7a8e6fa354c46400022f20d80678965e28bbe18a92a43df26b93f2f4c9467", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000729", "prompt": "Solve for x: 35x - 78212 = -2181", "solution_steps": ["Add 78212 to both sides: 35x = 76031", "Divide both sides by 35: x = 76031/35"], "final_answer": "76031/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x - 78212 = -2181", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 78212, \"c\": -2181}", "seed": "6678408182068742395", "semantic_fingerprint": "sha256:4a8dee7c057966418e742fca486531c78759364c0c6446af8e851d1ab9eeda0a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000730", "prompt": "What is (8672 + 46871) * (2079 - (-6504))?", "solution_steps": ["Add: 8672 + 46871 = 55543", "Subtract: 2079 - (-6504) = 8583", "Multiply: 55543 * 8583 = 476725569"], "final_answer": "476725569", "answer_type": "integer", "kind": "expression", "math_text": "(8672 + 46871) * (2079 - (-6504))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8672, \"b\": 46871, \"c\": 2079, \"d\": -6504}", "seed": "6902023274438652253", "semantic_fingerprint": "sha256:acddf7b9f064ad8dac381856a74f5ad5976db07f1fbb807b2b8f3b7c61f8cbe7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000731", "prompt": "Solve for x: x = 25x + 3624", "solution_steps": ["Subtract 25x from both sides: -24x = 3624", "Divide both sides by -24: x = -151"], "final_answer": "-151", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 25x + 3624", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25, \"c\": 3624, \"x\": -151}", "seed": "17928784900055380678", "semantic_fingerprint": "sha256:a06c1b9e2dfea57b0cad2fcd89bdcd711dad2395d179b2ccbdeaa73a00c5aa52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000732", "prompt": "Evaluate: -5745 + 4695 - 2872", "solution_steps": ["Add: -5745 + 4695 = -1050", "Subtract: -1050 - 2872 = -3922"], "final_answer": "-3922", "answer_type": "integer", "kind": "expression", "math_text": "-5745 + 4695 - 2872", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5745, \"b\": 4695, \"c\": 2872}", "seed": "287690430056132474", "semantic_fingerprint": "sha256:bf3d7a34745bbfd3ac1f7d3c670338b13f0b80dc2d57af739aa7b918e0c3e682", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000733", "prompt": "What is 24431 * (6804 - (-75570))?", "solution_steps": ["Subtract: 6804 - (-75570) = 82374", "Multiply: 24431 * 82374 = 2012479194"], "final_answer": "2012479194", "answer_type": "integer", "kind": "expression", "math_text": "24431 * (6804 - (-75570))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24431, \"b\": 6804, \"c\": -75570}", "seed": "8041210181837167531", "semantic_fingerprint": "sha256:22fab71d0c33bd35ce98138d4bef2ac5b44fc8412abe2e8f6705f5b487fda4aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000734", "prompt": "Solve the equation -34x = -26x + 3177 for x.", "solution_steps": ["Add 26x to both sides: -8x = 3177", "Divide both sides by -8: x = -3177/8"], "final_answer": "-3177/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34x = -26x + 3177", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": -26, \"c\": 3177}", "seed": "12930844813617355471", "semantic_fingerprint": "sha256:eeed5e0989050f169394ff49bde696d00ca15c350016b2ff2ce3eefcb0b8e059", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000735", "prompt": "What is -9128 + 6328 + 4291 * (-7463)?", "solution_steps": ["Add: -9128 + 6328 = -2800", "Multiply: 4291 * (-7463) = -32023733", "Add: -2800 + (-32023733) = -32026533"], "final_answer": "-32026533", "answer_type": "integer", "kind": "expression", "math_text": "-9128 + 6328 + 4291 * (-7463)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9128, \"b\": 6328, \"c\": 4291, \"d\": -7463}", "seed": "10656498298342606757", "semantic_fingerprint": "sha256:c1100f922e8530ee2b701277e71b3118447a9cbdd68ca25a324e9e2bb77a7e52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000736", "prompt": "Compute: -65195 + 36769 + 3112", "solution_steps": ["Add: -65195 + 36769 = -28426", "Add: -28426 + 3112 = -25314"], "final_answer": "-25314", "answer_type": "integer", "kind": "expression", "math_text": "-65195 + 36769 + 3112", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -65195, \"b\": 36769, \"c\": 3112}", "seed": "14393193638630278644", "semantic_fingerprint": "sha256:8b03539d4ccd94c7dcbfd9a2743a3e64cb8feb5f912c29682101cd5600837a3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000737", "prompt": "Find x: x + 9553 = 28x + 6772", "solution_steps": ["Subtract 28x from both sides: -27x + 9553 = 6772", "Subtract 9553 from both sides: -27x = -2781", "Divide both sides by -27: x = 103"], "final_answer": "103", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9553 = 28x + 6772", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9553, \"b\": 28, \"d\": 6772, \"x\": 103}", "seed": "14816269160574911995", "semantic_fingerprint": "sha256:bb99984d91c94a6eff37bf86d8e901fa2276282a711da5e251757ac026865eab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000738", "prompt": "What is 8172 * (-9657 / (-9352))?", "solution_steps": ["Divide: -9657 / (-9352) = 9657/9352", "Multiply: 8172 * (9657/9352) = 19729251/2338"], "final_answer": "19729251/2338", "answer_type": "rational", "kind": "expression", "math_text": "8172 * (-9657 / (-9352))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8172, \"b\": -9657, \"c\": -9352}", "seed": "4754626644088696655", "semantic_fingerprint": "sha256:f00817534242c3c3669ef423fe4fd5a49bff8ff9904ab2c998755e4ce8adc323", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000739", "prompt": "Compute: -57089 / (-91105 / (-82299 + 5596))", "solution_steps": ["Add: -82299 + 5596 = -76703", "Divide: -91105 / (-76703) = 4795/4037", "Divide: -57089 / (4795/4037) = -230468293/4795"], "final_answer": "-230468293/4795", "answer_type": "rational", "kind": "expression", "math_text": "-57089 / (-91105 / (-82299 + 5596))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -57089, \"b\": -91105, \"c\": -82299, \"d\": 5596}", "seed": "6003299647949484264", "semantic_fingerprint": "sha256:4eeed1b3f17b67ee9e1c2f73ae980da6566815c1d6099890299c6c3c7d64cdb9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000740", "prompt": "What value of x satisfies 16(x + 18622) = 34(x + 25632) + 97385?", "solution_steps": ["Expand: 16x + 297952 = 34(x + 25632) + 97385", "Expand: 16x + 297952 = 34x + 871488 + 97385", "Combine constants: 16x + 297952 = 34x + 968873", "Subtract 34x from both sides: -18x + 297952 = 968873", "Subtract 297952 from both sides: -18x = 670921", "Divide both sides by -18: x = -670921/18"], "final_answer": "-670921/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 18622) = 34(x + 25632) + 97385", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 18622, \"c\": 34, \"d\": 25632, \"e\": 97385}", "seed": "10733984250441062325", "semantic_fingerprint": "sha256:f8a6a0031b98960eaf9a8b4e68198a322baeb0171c006974841208771cc51db8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000741", "prompt": "What is 2071 + 30142 - 1760 * 6160?", "solution_steps": ["Add: 2071 + 30142 = 32213", "Multiply: 1760 * 6160 = 10841600", "Subtract: 32213 - 10841600 = -10809387"], "final_answer": "-10809387", "answer_type": "integer", "kind": "expression", "math_text": "2071 + 30142 - 1760 * 6160", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2071, \"b\": 30142, \"c\": 1760, \"d\": 6160}", "seed": "4148320566151251941", "semantic_fingerprint": "sha256:b780a2a61eda4c3992d510bf1fdf23a99b212388322c09391e295393829ee2ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000742", "prompt": "What is (-9096 + 97115) / 65009?", "solution_steps": ["Add: -9096 + 97115 = 88019", "Divide: 88019 / 65009 = 88019/65009"], "final_answer": "88019/65009", "answer_type": "rational", "kind": "expression", "math_text": "(-9096 + 97115) / 65009", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9096, \"b\": 97115, \"c\": 65009}", "seed": "9609952416103341938", "semantic_fingerprint": "sha256:3a704c19a4981129d6b53f0cdf5d4f5fb070bf8eb8257092f5cd1f3c77987b94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000743", "prompt": "Solve for x: x + 9225 = 15(x + 7198) - 99361", "solution_steps": ["Expand: x + 9225 = 15x + 107970 - 99361", "Combine constants: x + 9225 = 15x + 8609", "Subtract 15x from both sides: -14x + 9225 = 8609", "Subtract 9225 from both sides: -14x = -616", "Divide both sides by -14: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9225 = 15(x + 7198) - 99361", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9225, \"b\": 15, \"c\": 7198, \"e\": -99361, \"x\": 44}", "seed": "1316045394627565568", "semantic_fingerprint": "sha256:bdeb706020d26f7dff9ae4aa0f6ddffc0a6b590266b26bf2d7ff14ae78fc2227", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000744", "prompt": "Evaluate: (-40356 - 8993) * 8145", "solution_steps": ["Subtract: -40356 - 8993 = -49349", "Multiply: -49349 * 8145 = -401947605"], "final_answer": "-401947605", "answer_type": "integer", "kind": "expression", "math_text": "(-40356 - 8993) * 8145", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40356, \"b\": 8993, \"c\": 8145}", "seed": "12808478675738285633", "semantic_fingerprint": "sha256:95aa26401e63678073af4b9184e2e14b4eff078714d65584158b51dbac0b1334", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000745", "prompt": "Compute: (53921 - (-8595)) / (-73457)", "solution_steps": ["Subtract: 53921 - (-8595) = 62516", "Divide: 62516 / (-73457) = -62516/73457"], "final_answer": "-62516/73457", "answer_type": "rational", "kind": "expression", "math_text": "(53921 - (-8595)) / (-73457)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 53921, \"b\": -8595, \"c\": -73457}", "seed": "4113300431953347066", "semantic_fingerprint": "sha256:b26fdc43197a7cac5b3107704648c84650f2c6356ae2fc309e7d179123149c5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000746", "prompt": "Find x: x = 20(x + 21706) - 43634", "solution_steps": ["Expand: x = 20x + 434120 - 43634", "Combine constants: x = 20x + 390486", "Subtract 20x from both sides: -19x = 390486", "Divide both sides by -19: x = -390486/19"], "final_answer": "-390486/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 20(x + 21706) - 43634", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 21706, \"c\": 43634}", "seed": "3971829337370283103", "semantic_fingerprint": "sha256:61adb19eb71f8c6f6015283fa316ede03a3ac0efe8593602ae3c9a832e024fd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000747", "prompt": "What value of x satisfies 29(x - 57645) = 20(x - 87866) + 85093?", "solution_steps": ["Expand: 29x - 1671705 = 20(x - 87866) + 85093", "Expand: 29x - 1671705 = 20x - 1757320 + 85093", "Combine constants: 29x - 1671705 = 20x - 1672227", "Subtract 20x from both sides: 9x - 1671705 = -1672227", "Add 1671705 to both sides: 9x = -522", "Divide both sides by 9: x = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x - 57645) = 20(x - 87866) + 85093", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 57645, \"c\": 20, \"d\": 87866, \"f\": 85093, \"x\": -58}", "seed": "1512228189733716041", "semantic_fingerprint": "sha256:0a4b7640353e87ac398bc331e88e60789e78b2e24b96bfaea4f22996740b1c8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000748", "prompt": "Solve for x: -25(x + 3410) = 14(x + 1429) + 96875", "solution_steps": ["Expand: -25x - 85250 = 14(x + 1429) + 96875", "Expand: -25x - 85250 = 14x + 20006 + 96875", "Combine constants: -25x - 85250 = 14x + 116881", "Subtract 14x from both sides: -39x - 85250 = 116881", "Add 85250 to both sides: -39x = 202131", "Divide both sides by -39: x = -67377/13"], "final_answer": "-67377/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 3410) = 14(x + 1429) + 96875", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 3410, \"c\": 14, \"d\": 1429, \"e\": 96875}", "seed": "3160015752600467683", "semantic_fingerprint": "sha256:107e27ea6ebaf17a46fafd7a4481d86e306ceb5b25060135310fcb52e51b7b1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000749", "prompt": "Solve the equation -25(x - 6347) = 26(x - 70487) for x.", "solution_steps": ["Expand: -25x + 158675 = 26(x - 70487)", "Expand: -25x + 158675 = 26x - 1832662", "Subtract 26x from both sides: -51x + 158675 = -1832662", "Subtract 158675 from both sides: -51x = -1991337", "Divide both sides by -51: x = 663779/17"], "final_answer": "663779/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 6347) = 26(x - 70487)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 6347, \"c\": 26, \"d\": 70487}", "seed": "16126228964249379031", "semantic_fingerprint": "sha256:b1f10e9277f11a31cafdfbed40f2de5b3f31cc819171981195e76a6b0644f027", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000750", "prompt": "Evaluate: -73192 / 2699", "solution_steps": ["Divide: -73192 / 2699 = -73192/2699"], "final_answer": "-73192/2699", "answer_type": "rational", "kind": "expression", "math_text": "-73192 / 2699", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -73192, \"b\": 2699}", "seed": "945227712479120876", "semantic_fingerprint": "sha256:ce22c2f57d54a969abd7c4792ae9bf2ba6236dae3b97c67840aa591a8707245d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000751", "prompt": "Evaluate: (-3123 + 1427) * 6191", "solution_steps": ["Add: -3123 + 1427 = -1696", "Multiply: -1696 * 6191 = -10499936"], "final_answer": "-10499936", "answer_type": "integer", "kind": "expression", "math_text": "(-3123 + 1427) * 6191", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3123, \"b\": 1427, \"c\": 6191}", "seed": "10479491704340663640", "semantic_fingerprint": "sha256:d053640f7823eab186896a5e7bb2a3db24dae76e2ac905c4f848fd1e9fb001c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000752", "prompt": "Evaluate: 3905 * (3075 - (6279 + (2598 - (-4657)) + (-8587)))", "solution_steps": ["Subtract: 2598 - (-4657) = 7255", "Add: 6279 + 7255 = 13534", "Add: 13534 + (-8587) = 4947", "Subtract: 3075 - 4947 = -1872", "Multiply: 3905 * (-1872) = -7310160"], "final_answer": "-7310160", "answer_type": "integer", "kind": "expression", "math_text": "3905 * (3075 - (6279 + (2598 - (-4657)) + (-8587)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (+ (+ n (- n n)) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3905, \"b\": 3075, \"c\": 6279, \"d\": 2598, \"e\": -4657, \"f\": -8587}", "seed": "11623224286663777916", "semantic_fingerprint": "sha256:ce067f70765207adf67c8511d03e4341d8d494959b90303b9a68f58bcdbf458c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000753", "prompt": "Calculate: 4866 + 12484 / (-1276 - (1769 * (-1133) + 65097))", "solution_steps": ["Multiply: 1769 * (-1133) = -2004277", "Add: -2004277 + 65097 = -1939180", "Subtract: -1276 - (-1939180) = 1937904", "Divide: 12484 / 1937904 = 3121/484476", "Add: 4866 + 3121/484476 = 2357463337/484476"], "final_answer": "2357463337/484476", "answer_type": "rational", "kind": "expression", "math_text": "4866 + 12484 / (-1276 - (1769 * (-1133) + 65097))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (- n (+ (* n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4866, \"b\": 12484, \"c\": -1276, \"d\": 1769, \"e\": -1133, \"f\": 65097}", "seed": "4697971191944881037", "semantic_fingerprint": "sha256:c88d2bbac99a891fcfb07e3c73526e09687f65b2cd7c08765a6a267fd0dccf4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000754", "prompt": "Evaluate: 9223 + 3773 - (-4503 - (-3839)) * (-5074)", "solution_steps": ["Add: 9223 + 3773 = 12996", "Subtract: -4503 - (-3839) = -664", "Multiply: -664 * (-5074) = 3369136", "Subtract: 12996 - 3369136 = -3356140"], "final_answer": "-3356140", "answer_type": "integer", "kind": "expression", "math_text": "9223 + 3773 - (-4503 - (-3839)) * (-5074)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9223, \"b\": 3773, \"c\": -4503, \"d\": -3839, \"e\": -5074}", "seed": "15439980321078212668", "semantic_fingerprint": "sha256:62dce051c1955540d1b30a8415dbad15b01020f5990f58b0de5aa8077f6ec3ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000755", "prompt": "Find x: x - 1995 = 36x", "solution_steps": ["Subtract 36x from both sides: -35x - 1995 = 0", "Add 1995 to both sides: -35x = 1995", "Divide both sides by -35: x = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1995 = 36x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"c\": -1995, \"x\": -57}", "seed": "5478620855940362571", "semantic_fingerprint": "sha256:dbb3cbbf40c10f9c340578bf225cc8de27faddb59ed89158deca75f509327b7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000756", "prompt": "What value of x satisfies 34x - 3417 = 15(x + 77724) - 3459?", "solution_steps": ["Expand: 34x - 3417 = 15x + 1165860 - 3459", "Combine constants: 34x - 3417 = 15x + 1162401", "Subtract 15x from both sides: 19x - 3417 = 1162401", "Add 3417 to both sides: 19x = 1165818", "Divide both sides by 19: x = 1165818/19"], "final_answer": "1165818/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x - 3417 = 15(x + 77724) - 3459", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 3417, \"c\": 15, \"d\": 77724, \"e\": 3459}", "seed": "9331613113971838218", "semantic_fingerprint": "sha256:48bb802f5b84a29a4e42958a34dd868cc87e0aed8089e57e1cd5a4e52013d010", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000757", "prompt": "Find x: -16x = 17x", "solution_steps": ["Subtract 17x from both sides: -33x = 0", "Divide both sides by -33: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x = 17x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 17}", "seed": "8853028873647365244", "semantic_fingerprint": "sha256:e89b7c6b9178cdfd7b8aa97b66b8d64346788b9c813a744d61d81aee5931ffa0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000758", "prompt": "Evaluate: -4289 - 37557 * (-5688) / 2004 + (-4133) * (-47441)", "solution_steps": ["Multiply: 37557 * (-5688) = -213624216", "Divide: -213624216 / 2004 = -17802018/167", "Subtract: -4289 - (-17802018/167) = 17085755/167", "Multiply: -4133 * (-47441) = 196073653", "Add: 17085755/167 + 196073653 = 32761385806/167"], "final_answer": "32761385806/167", "answer_type": "rational", "kind": "expression", "math_text": "-4289 - 37557 * (-5688) / 2004 + (-4133) * (-47441)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ (* n n) n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4289, \"b\": 37557, \"c\": -5688, \"d\": 2004, \"e\": -4133, \"f\": -47441}", "seed": "4929809577917423402", "semantic_fingerprint": "sha256:90c6ee24cfa4e931ca3f86085c203c85601d7a8b2b0e809aa7d85f711a8f2dc3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000759", "prompt": "Compute: -3475 / (-9928) + 5302", "solution_steps": ["Divide: -3475 / (-9928) = 3475/9928", "Add: 3475/9928 + 5302 = 52641731/9928"], "final_answer": "52641731/9928", "answer_type": "rational", "kind": "expression", "math_text": "-3475 / (-9928) + 5302", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3475, \"b\": -9928, \"c\": 5302}", "seed": "13375175151067138767", "semantic_fingerprint": "sha256:242e749fbc9b3185564057de0775f96b8dd94058e7b87d6a8fbda4d9e609568e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000760", "prompt": "Solve the equation x + 8211 = 2780 for x.", "solution_steps": ["Subtract 8211 from both sides: x = -5431"], "final_answer": "-5431", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8211 = 2780", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8211, \"b\": 2780}", "seed": "5948974321506455982", "semantic_fingerprint": "sha256:5e319b0f84c7305d3dd3b272326635d2d9eb69069801442ccbff68f26def5f99", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000761", "prompt": "Compute: (-1109 - (-4589)) * 94684 - 91758", "solution_steps": ["Subtract: -1109 - (-4589) = 3480", "Multiply: 3480 * 94684 = 329500320", "Subtract: 329500320 - 91758 = 329408562"], "final_answer": "329408562", "answer_type": "integer", "kind": "expression", "math_text": "(-1109 - (-4589)) * 94684 - 91758", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1109, \"b\": -4589, \"c\": 94684, \"d\": 91758}", "seed": "9743074595865422063", "semantic_fingerprint": "sha256:c2ce5f9b07126eae0983b44d21e2bee92c9c95faa178b9bf934e10ddff6d186e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000762", "prompt": "What is 8576 * (1588 + (-82319 - (-72602)) - 2944)?", "solution_steps": ["Subtract: -82319 - (-72602) = -9717", "Add: 1588 + (-9717) = -8129", "Subtract: -8129 - 2944 = -11073", "Multiply: 8576 * (-11073) = -94962048"], "final_answer": "-94962048", "answer_type": "integer", "kind": "expression", "math_text": "8576 * (1588 + (-82319 - (-72602)) - 2944)", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8576, \"b\": 1588, \"c\": -82319, \"d\": -72602, \"e\": 2944}", "seed": "12970234237075475672", "semantic_fingerprint": "sha256:a7c52240a4f14b81601b29680ad9d0181c48f2843543a0e50eb0891bf0f3441b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000763", "prompt": "What is 5547 - (-53855) * (-57844 - (-5674))?", "solution_steps": ["Subtract: -57844 - (-5674) = -52170", "Multiply: -53855 * (-52170) = 2809615350", "Subtract: 5547 - 2809615350 = -2809609803"], "final_answer": "-2809609803", "answer_type": "integer", "kind": "expression", "math_text": "5547 - (-53855) * (-57844 - (-5674))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5547, \"b\": -53855, \"c\": -57844, \"d\": -5674}", "seed": "14404230855269911209", "semantic_fingerprint": "sha256:d21e0116f83216f2e48282061b3e8839cd5dc9f816ed9e23d60174a76fcd2c78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000764", "prompt": "Compute: 18218 - 6909 + (-9189)", "solution_steps": ["Subtract: 18218 - 6909 = 11309", "Add: 11309 + (-9189) = 2120"], "final_answer": "2120", "answer_type": "integer", "kind": "expression", "math_text": "18218 - 6909 + (-9189)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18218, \"b\": 6909, \"c\": -9189}", "seed": "5678170871330220958", "semantic_fingerprint": "sha256:494b274bf7872ae3072e72de55af314869332c1285684587156182cd980342d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000765", "prompt": "Evaluate: 2612 * 6263 * (-22234 - (-6641))", "solution_steps": ["Multiply: 2612 * 6263 = 16358956", "Subtract: -22234 - (-6641) = -15593", "Multiply: 16358956 * (-15593) = -255085200908"], "final_answer": "-255085200908", "answer_type": "integer", "kind": "expression", "math_text": "2612 * 6263 * (-22234 - (-6641))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2612, \"b\": 6263, \"c\": -22234, \"d\": -6641}", "seed": "5582078132299487181", "semantic_fingerprint": "sha256:1ab5d9329ee383a35e4f6244fc60722e3509195e2a3bce5f0b542d50d36c6876", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000766", "prompt": "Solve for x: 35x + 12679 = 9249", "solution_steps": ["Subtract 12679 from both sides: 35x = -3430", "Divide both sides by 35: x = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 12679 = 9249", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 12679, \"d\": 9249, \"x\": -98}", "seed": "11668334654691281240", "semantic_fingerprint": "sha256:8fe29d07364db011b7d05c817fa2f24aa0b12244025a33184f855c5b19131a97", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000767", "prompt": "Find x: 35x - 1281 = 28x", "solution_steps": ["Subtract 28x from both sides: 7x - 1281 = 0", "Add 1281 to both sides: 7x = 1281", "Divide both sides by 7: x = 183"], "final_answer": "183", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x - 1281 = 28x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 28, \"d\": -1281, \"x\": 183}", "seed": "6883445911310084714", "semantic_fingerprint": "sha256:b45ef3399d5921620b5dc23523e2ef5d573d84ad9935f17b39ff9e6f7aa00c00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000768", "prompt": "Solve the equation x = -24(x + 3263) + 82587 for x.", "solution_steps": ["Expand: x = -24x - 78312 + 82587", "Combine constants: x = -24x + 4275", "Add 24x to both sides: 25x = 4275", "Divide both sides by 25: x = 171"], "final_answer": "171", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -24(x + 3263) + 82587", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 3263, \"d\": 82587, \"x\": 171}", "seed": "289812547701620373", "semantic_fingerprint": "sha256:a30db6c74a39bf78f8053cbd5c0cdff30dfa3bba89704fb8c97995a431e64f34", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000769", "prompt": "Solve the equation 20x + 1894 = 19(x - 4214) + 81857 for x.", "solution_steps": ["Expand: 20x + 1894 = 19x - 80066 + 81857", "Combine constants: 20x + 1894 = 19x + 1791", "Subtract 19x from both sides: x + 1894 = 1791", "Subtract 1894 from both sides: x = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 1894 = 19(x - 4214) + 81857", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1894, \"c\": 19, \"d\": 4214, \"f\": 81857, \"x\": -103}", "seed": "18392887749497478281", "semantic_fingerprint": "sha256:5ae39f4e25fb42c07fd7ecce3cb0985e99ac17e81160ab6147cedbfda144ae7c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000770", "prompt": "What is -4185 * 9203 / 2211 * (-5740 / (-6471))?", "solution_steps": ["Multiply: -4185 * 9203 = -38514555", "Divide: -38514555 / 2211 = -12838185/737", "Divide: -5740 / (-6471) = 5740/6471", "Multiply: (-12838185/737) * (5740/6471) = -8187909100/529903"], "final_answer": "-8187909100/529903", "answer_type": "rational", "kind": "expression", "math_text": "-4185 * 9203 / 2211 * (-5740 / (-6471))", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4185, \"b\": 9203, \"c\": 2211, \"d\": -5740, \"e\": -6471}", "seed": "13404681405308591712", "semantic_fingerprint": "sha256:4d2f3b2733ba737abc31d224637f40db33a3761d494caed4eb21e6c87f528df6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000771", "prompt": "Calculate: 1593 - (5532 * (-25828) - 36568)", "solution_steps": ["Multiply: 5532 * (-25828) = -142880496", "Subtract: -142880496 - 36568 = -142917064", "Subtract: 1593 - (-142917064) = 142918657"], "final_answer": "142918657", "answer_type": "integer", "kind": "expression", "math_text": "1593 - (5532 * (-25828) - 36568)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1593, \"b\": 5532, \"c\": -25828, \"d\": 36568}", "seed": "8641417337801794860", "semantic_fingerprint": "sha256:5ab6b584db52df8caaccc03652b72af685061433e9d7550979d2638f954fa262", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000772", "prompt": "Calculate: 5944 / (3582 + 3201)", "solution_steps": ["Add: 3582 + 3201 = 6783", "Divide: 5944 / 6783 = 5944/6783"], "final_answer": "5944/6783", "answer_type": "rational", "kind": "expression", "math_text": "5944 / (3582 + 3201)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5944, \"b\": 3582, \"c\": 3201}", "seed": "10519552959479251490", "semantic_fingerprint": "sha256:15f87820c8c561f38150b767e8879713e849d0c2f5d7e7aa5777e21cb76fefc1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000773", "prompt": "What is 82475 - 8098?", "solution_steps": ["Subtract: 82475 - 8098 = 74377"], "final_answer": "74377", "answer_type": "integer", "kind": "expression", "math_text": "82475 - 8098", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 82475, \"b\": 8098}", "seed": "15494886757007378779", "semantic_fingerprint": "sha256:16f4819487afc9e409937537a5ab1185f5ecfdfc0feeea190416a3b8e62ed75c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000774", "prompt": "Evaluate: -3222 * (-4512 + (-9921))", "solution_steps": ["Add: -4512 + (-9921) = -14433", "Multiply: -3222 * (-14433) = 46503126"], "final_answer": "46503126", "answer_type": "integer", "kind": "expression", "math_text": "-3222 * (-4512 + (-9921))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3222, \"b\": -4512, \"c\": -9921}", "seed": "4158469955308170117", "semantic_fingerprint": "sha256:b920359a1a315ad20d934cbd288711a8b3df7227aab57c6393fde834211350bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000775", "prompt": "Find x: x + 4000 = 21x", "solution_steps": ["Subtract 21x from both sides: -20x + 4000 = 0", "Subtract 4000 from both sides: -20x = -4000", "Divide both sides by -20: x = 200"], "final_answer": "200", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4000 = 21x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"c\": 4000, \"x\": 200}", "seed": "15122934663173441095", "semantic_fingerprint": "sha256:bb47a763f5aebc85b8e16f3029281cb8c4c33829c016195b0f55ed16100a2714", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000776", "prompt": "Solve the equation x = -33x - 5508 for x.", "solution_steps": ["Add 33x to both sides: 34x = -5508", "Divide both sides by 34: x = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -33x - 5508", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33, \"c\": -5508, \"x\": -162}", "seed": "6315951830313581656", "semantic_fingerprint": "sha256:bffbf4864905f27c4e5c959c298bf026a1f492089bec96aaacb4fdb1703bd937", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000777", "prompt": "Calculate: 6255 / ((85555 - 1563) / (-15046))", "solution_steps": ["Subtract: 85555 - 1563 = 83992", "Divide: 83992 / (-15046) = -41996/7523", "Divide: 6255 / (-41996/7523) = -47056365/41996"], "final_answer": "-47056365/41996", "answer_type": "rational", "kind": "expression", "math_text": "6255 / ((85555 - 1563) / (-15046))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6255, \"b\": 85555, \"c\": 1563, \"d\": -15046}", "seed": "7582252766044006757", "semantic_fingerprint": "sha256:9b6f7e167bc77ad2b1c06ddec9bc5808ed9204514772bd6ddbe767a90cc87024", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000778", "prompt": "What is -9038 + (4197 - 66568)?", "solution_steps": ["Subtract: 4197 - 66568 = -62371", "Add: -9038 + (-62371) = -71409"], "final_answer": "-71409", "answer_type": "integer", "kind": "expression", "math_text": "-9038 + (4197 - 66568)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9038, \"b\": 4197, \"c\": 66568}", "seed": "11026874862271280807", "semantic_fingerprint": "sha256:0ba1ec4af9424b80916b467922ca14f15377cb00afd79f3c4a63d22498288c63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000779", "prompt": "What is 6102 - (-7283 - 57218) + (-7816 * 7195 - 37043)?", "solution_steps": ["Subtract: -7283 - 57218 = -64501", "Subtract: 6102 - (-64501) = 70603", "Multiply: -7816 * 7195 = -56236120", "Subtract: -56236120 - 37043 = -56273163", "Add: 70603 + (-56273163) = -56202560"], "final_answer": "-56202560", "answer_type": "integer", "kind": "expression", "math_text": "6102 - (-7283 - 57218) + (-7816 * 7195 - 37043)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (- (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6102, \"b\": -7283, \"c\": 57218, \"d\": -7816, \"e\": 7195, \"f\": 37043}", "seed": "13973020386523872360", "semantic_fingerprint": "sha256:ae118f932819fcaca1be57cf0f903fa5e2e91a0e1b978706373d5bd2a5b8ed4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000780", "prompt": "What is 43510 / 1318?", "solution_steps": ["Divide: 43510 / 1318 = 21755/659"], "final_answer": "21755/659", "answer_type": "rational", "kind": "expression", "math_text": "43510 / 1318", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 43510, \"b\": 1318}", "seed": "13888380576347159400", "semantic_fingerprint": "sha256:f1ede3480be768b6d25c28da4c93dbffeb425a31c88b74c4fd73ecb0616b9bba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000781", "prompt": "Solve for x: x = 39x - 58802", "solution_steps": ["Subtract 39x from both sides: -38x = -58802", "Divide both sides by -38: x = 29401/19"], "final_answer": "29401/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 39x - 58802", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 58802}", "seed": "13728904560912517445", "semantic_fingerprint": "sha256:dcbc4d1e4e8afc4ca326db5a4a342d18c49988c9bb0e02fc69ceb55239f8b19b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000782", "prompt": "Calculate: 33557 - (-7345 + (-2525) - (-7247) - (-1131))", "solution_steps": ["Add: -7345 + (-2525) = -9870", "Subtract: -9870 - (-7247) = -2623", "Subtract: -2623 - (-1131) = -1492", "Subtract: 33557 - (-1492) = 35049"], "final_answer": "35049", "answer_type": "integer", "kind": "expression", "math_text": "33557 - (-7345 + (-2525) - (-7247) - (-1131))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33557, \"b\": -7345, \"c\": -2525, \"d\": -7247, \"e\": -1131}", "seed": "12278390152822474504", "semantic_fingerprint": "sha256:81113278ad9ed86f0061ba95b25efdf44596c01632b13ae6ad3134833f58a47f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000783", "prompt": "Evaluate: (-31221 + (-1458)) / (-76016 - (-40079))", "solution_steps": ["Add: -31221 + (-1458) = -32679", "Subtract: -76016 - (-40079) = -35937", "Divide: -32679 / (-35937) = 3631/3993"], "final_answer": "3631/3993", "answer_type": "rational", "kind": "expression", "math_text": "(-31221 + (-1458)) / (-76016 - (-40079))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31221, \"b\": -1458, \"c\": -76016, \"d\": -40079}", "seed": "14026778724980975462", "semantic_fingerprint": "sha256:88441b325abd526fe86bdd5eb697b733c15a83152d73ae28d58d4c024d2c50ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000784", "prompt": "Compute: -1775 / (-5003)", "solution_steps": ["Divide: -1775 / (-5003) = 1775/5003"], "final_answer": "1775/5003", "answer_type": "rational", "kind": "expression", "math_text": "-1775 / (-5003)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1775, \"b\": -5003}", "seed": "3040921176904884791", "semantic_fingerprint": "sha256:30dd8c482fde1749d88258298c464c03a6a7bc1e0f3b12dd4524976dbd520bf0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000785", "prompt": "Solve the equation -18x - 71710 = 23(x - 1460) + 5211 for x.", "solution_steps": ["Expand: -18x - 71710 = 23x - 33580 + 5211", "Combine constants: -18x - 71710 = 23x - 28369", "Subtract 23x from both sides: -41x - 71710 = -28369", "Add 71710 to both sides: -41x = 43341", "Divide both sides by -41: x = -43341/41"], "final_answer": "-43341/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x - 71710 = 23(x - 1460) + 5211", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 71710, \"c\": 23, \"d\": 1460, \"e\": 5211}", "seed": "9600712552926005873", "semantic_fingerprint": "sha256:730a533298f52b3f75d62e59d6b1e9563b1ef9c070816707aeec0498014650a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000786", "prompt": "What is 5794 * 63530 / (-5591)?", "solution_steps": ["Multiply: 5794 * 63530 = 368092820", "Divide: 368092820 / (-5591) = -368092820/5591"], "final_answer": "-368092820/5591", "answer_type": "rational", "kind": "expression", "math_text": "5794 * 63530 / (-5591)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5794, \"b\": 63530, \"c\": -5591}", "seed": "6429649117972862212", "semantic_fingerprint": "sha256:5710f5ab7ab364ea6bb3441322b57b089b9e14d8b706b08eb5b99ed082b4b883", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000787", "prompt": "What is -50815 - 4107 - (-60241)?", "solution_steps": ["Subtract: -50815 - 4107 = -54922", "Subtract: -54922 - (-60241) = 5319"], "final_answer": "5319", "answer_type": "integer", "kind": "expression", "math_text": "-50815 - 4107 - (-60241)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50815, \"b\": 4107, \"c\": -60241}", "seed": "17410346245958502883", "semantic_fingerprint": "sha256:e3b5c7b5ee1a4f0d53b0200045dbfb19b5b17a8c29c344b60d3281a14b495091", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000788", "prompt": "Solve the equation 23x + 60814 = x + 6576 for x.", "solution_steps": ["Subtract x from both sides: 22x + 60814 = 6576", "Subtract 60814 from both sides: 22x = -54238", "Divide both sides by 22: x = -27119/11"], "final_answer": "-27119/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 60814 = x + 6576", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 60814, \"c\": 6576}", "seed": "11947609740237436690", "semantic_fingerprint": "sha256:53905413ac3b65b31b6b0e5b8fad52d65f2b7b80c45908387c997f61b8429bbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000789", "prompt": "Solve for x: 20(x - 2689) = x", "solution_steps": ["Expand: 20x - 53780 = x", "Subtract x from both sides: 19x - 53780 = 0", "Add 53780 to both sides: 19x = 53780", "Divide both sides by 19: x = 53780/19"], "final_answer": "53780/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 2689) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 2689}", "seed": "4933596701923277304", "semantic_fingerprint": "sha256:345cdbeaa3aa44778f317d14be7645d5cef294d0a02238b37017a81a0f0c49b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000790", "prompt": "Evaluate: -68123 / (-1194)", "solution_steps": ["Divide: -68123 / (-1194) = 68123/1194"], "final_answer": "68123/1194", "answer_type": "rational", "kind": "expression", "math_text": "-68123 / (-1194)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -68123, \"b\": -1194}", "seed": "12804142784418935771", "semantic_fingerprint": "sha256:fde6ec5cbf8bdb259419ae9c828db3910dfb065516b3ab85bf071bbd57251282", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000791", "prompt": "What value of x satisfies 36(x + 1987) + 8958 = 39(x - 97897) - 42966?", "solution_steps": ["Expand: 36x + 71532 + 8958 = 39(x - 97897) - 42966", "Expand: 36x + 71532 + 8958 = 39x - 3817983 - 42966", "Combine constants: 36x + 80490 = 39x - 3817983 - 42966", "Combine constants: 36x + 80490 = 39x - 3860949", "Subtract 39x from both sides: -3x + 80490 = -3860949", "Subtract 80490 from both sides: -3x = -3941439", "Divide both sides by -3: x = 1313813"], "final_answer": "1313813", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x + 1987) + 8958 = 39(x - 97897) - 42966", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1987, \"c\": 8958, \"d\": 39, \"e\": 97897, \"f\": 42966}", "seed": "2833970523572450211", "semantic_fingerprint": "sha256:dd664cc678a17b058a0f3d1c5ee1c8fbdd39cf43adf69ec0b8a294951934b476", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000792", "prompt": "Evaluate: -7857 * (-7693 + (-3948))", "solution_steps": ["Add: -7693 + (-3948) = -11641", "Multiply: -7857 * (-11641) = 91463337"], "final_answer": "91463337", "answer_type": "integer", "kind": "expression", "math_text": "-7857 * (-7693 + (-3948))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7857, \"b\": -7693, \"c\": -3948}", "seed": "2964915168558788542", "semantic_fingerprint": "sha256:d561f4b5e0faaa5bca081a13403257ba6108a182f5f75e54857db64d2b4ac285", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000793", "prompt": "Calculate: 1440 - (-75159) * 69601 / (-6714) + (-3808) - 84296", "solution_steps": ["Multiply: -75159 * 69601 = -5231141559", "Divide: -5231141559 / (-6714) = 581237951/746", "Subtract: 1440 - 581237951/746 = -580163711/746", "Add: -580163711/746 + (-3808) = -583004479/746", "Subtract: -583004479/746 - 84296 = -645889295/746"], "final_answer": "-645889295/746", "answer_type": "rational", "kind": "expression", "math_text": "1440 - (-75159) * 69601 / (-6714) + (-3808) - 84296", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n (/ (* n n) n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1440, \"b\": -75159, \"c\": 69601, \"d\": -6714, \"e\": -3808, \"f\": 84296}", "seed": "4713484748375945782", "semantic_fingerprint": "sha256:17e1e9185e475b0c2fc3448756130172e9a217c5967910472814fae2f67d2d55", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000794", "prompt": "Evaluate: 68274 / 11460", "solution_steps": ["Divide: 68274 / 11460 = 11379/1910"], "final_answer": "11379/1910", "answer_type": "rational", "kind": "expression", "math_text": "68274 / 11460", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 68274, \"b\": 11460}", "seed": "13954822201672276883", "semantic_fingerprint": "sha256:a41405c245c0d92defe6e6262be372734ea5412f589f5d362144a1f54b528f66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000795", "prompt": "Compute: 3301 - (-81773) / (-1601)", "solution_steps": ["Divide: -81773 / (-1601) = 81773/1601", "Subtract: 3301 - 81773/1601 = 5203128/1601"], "final_answer": "5203128/1601", "answer_type": "rational", "kind": "expression", "math_text": "3301 - (-81773) / (-1601)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3301, \"b\": -81773, \"c\": -1601}", "seed": "4971106989017381038", "semantic_fingerprint": "sha256:dfbbbbcb2cd29c9f0df36e2b61d544d997c940105671e3445beaa25aa8577c1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000796", "prompt": "What is (7836 - (-2339)) / 85383?", "solution_steps": ["Subtract: 7836 - (-2339) = 10175", "Divide: 10175 / 85383 = 10175/85383"], "final_answer": "10175/85383", "answer_type": "rational", "kind": "expression", "math_text": "(7836 - (-2339)) / 85383", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7836, \"b\": -2339, \"c\": 85383}", "seed": "12561931001918153046", "semantic_fingerprint": "sha256:33c7446364e0e9498d7ddc47915e03f51493c8af10979d882b1583bf990f98be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000797", "prompt": "What is 5564 * (-8404)?", "solution_steps": ["Multiply: 5564 * (-8404) = -46759856"], "final_answer": "-46759856", "answer_type": "integer", "kind": "expression", "math_text": "5564 * (-8404)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5564, \"b\": -8404}", "seed": "14545448263929345989", "semantic_fingerprint": "sha256:ed9acd7e4654a51f49f13811949861b0a40914d7c92814d99aeceb966ecba78e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000798", "prompt": "What is 26483 / (-9811 - 92848) * (-6873) - 9171?", "solution_steps": ["Subtract: -9811 - 92848 = -102659", "Divide: 26483 / (-102659) = -26483/102659", "Multiply: (-26483/102659) * (-6873) = 182017659/102659", "Subtract: 182017659/102659 - 9171 = -759468030/102659"], "final_answer": "-759468030/102659", "answer_type": "rational", "kind": "expression", "math_text": "26483 / (-9811 - 92848) * (-6873) - 9171", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26483, \"b\": -9811, \"c\": 92848, \"d\": -6873, \"e\": 9171}", "seed": "6028431485598322512", "semantic_fingerprint": "sha256:9737c48a8e9a24dadca7fc36babb665bcd7c546e4e038f859807b2c9c4a8c0c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000799", "prompt": "Solve the equation x + 29486 = 32x - 5633 for x.", "solution_steps": ["Subtract 32x from both sides: -31x + 29486 = -5633", "Subtract 29486 from both sides: -31x = -35119", "Divide both sides by -31: x = 35119/31"], "final_answer": "35119/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 29486 = 32x - 5633", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29486, \"b\": 32, \"c\": 5633}", "seed": "9741008854622489155", "semantic_fingerprint": "sha256:3e55bfb335355a9c617196e3d3662ba945b2092330f5284c6364d6355038bd3a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000800", "prompt": "Compute: -37465 * (-9897 + (-9774 - (-17164))) + (-23201) * (-28295)", "solution_steps": ["Subtract: -9774 - (-17164) = 7390", "Add: -9897 + 7390 = -2507", "Multiply: -37465 * (-2507) = 93924755", "Multiply: -23201 * (-28295) = 656472295", "Add: 93924755 + 656472295 = 750397050"], "final_answer": "750397050", "answer_type": "integer", "kind": "expression", "math_text": "-37465 * (-9897 + (-9774 - (-17164))) + (-23201) * (-28295)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n (- n n))) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37465, \"b\": -9897, \"c\": -9774, \"d\": -17164, \"e\": -23201, \"f\": -28295}", "seed": "16579964704870506625", "semantic_fingerprint": "sha256:2c9d070b08f01a73fef3e8b4d89d45e54ec163829a79dd5b5ddfc82260daa970", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000801", "prompt": "Find x: 37(x - 7099) + 4977 = -12595", "solution_steps": ["Expand: 37x - 262663 + 4977 = -12595", "Combine constants: 37x - 257686 = -12595", "Add 257686 to both sides: 37x = 245091", "Divide both sides by 37: x = 245091/37"], "final_answer": "245091/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 7099) + 4977 = -12595", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 7099, \"c\": 4977, \"d\": -12595}", "seed": "7996709000959444126", "semantic_fingerprint": "sha256:737acd9746dad3c3414412a4ba13a717b639090bb9cd8574c00345089c82053c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000802", "prompt": "Find x: 29x = x - 4553", "solution_steps": ["Subtract x from both sides: 28x = -4553", "Divide both sides by 28: x = -4553/28"], "final_answer": "-4553/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x = x - 4553", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 4553}", "seed": "1814935144469980738", "semantic_fingerprint": "sha256:af3ffa6159a592e20f0c1b164bb54ec503441dba73142f15bf577b6087de2da4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000803", "prompt": "Compute: 8409 - (4949 + 67502 - (-4942))", "solution_steps": ["Add: 4949 + 67502 = 72451", "Subtract: 72451 - (-4942) = 77393", "Subtract: 8409 - 77393 = -68984"], "final_answer": "-68984", "answer_type": "integer", "kind": "expression", "math_text": "8409 - (4949 + 67502 - (-4942))", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8409, \"b\": 4949, \"c\": 67502, \"d\": -4942}", "seed": "15919659348012855572", "semantic_fingerprint": "sha256:785edcf514228257d42d0255dc6e58fd7c1c6b0fd90d46a7d878bf9724d50f95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000804", "prompt": "Solve for x: -37x = x", "solution_steps": ["Subtract x from both sides: -38x = 0", "Divide both sides by -38: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37}", "seed": "3454535194327770839", "semantic_fingerprint": "sha256:0285a4d24f72513d424ed319816a2d6e8545fe1d77ad0e8ab3983e0a1f77a631", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000805", "prompt": "What value of x satisfies 38(x + 4334) - 4909 = -30(x - 3200) + 28273?", "solution_steps": ["Expand: 38x + 164692 - 4909 = -30(x - 3200) + 28273", "Expand: 38x + 164692 - 4909 = -30x + 96000 + 28273", "Combine constants: 38x + 159783 = -30x + 96000 + 28273", "Combine constants: 38x + 159783 = -30x + 124273", "Add 30x to both sides: 68x + 159783 = 124273", "Subtract 159783 from both sides: 68x = -35510", "Divide both sides by 68: x = -17755/34"], "final_answer": "-17755/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 4334) - 4909 = -30(x - 3200) + 28273", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 4334, \"c\": 4909, \"d\": -30, \"e\": 3200, \"f\": 28273}", "seed": "9587765400895876522", "semantic_fingerprint": "sha256:92fe5c6053ae50f37ae33811c19f01719055474501e44800f167d25c12302c92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000806", "prompt": "Compute: 3969 * 6114", "solution_steps": ["Multiply: 3969 * 6114 = 24266466"], "final_answer": "24266466", "answer_type": "integer", "kind": "expression", "math_text": "3969 * 6114", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3969, \"b\": 6114}", "seed": "2842332681122716931", "semantic_fingerprint": "sha256:d0045ff0031e8b68984ae3cb9813789f21477d91cd6ecff08f089715531d77d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000807", "prompt": "Compute: -42802 * (-35591)", "solution_steps": ["Multiply: -42802 * (-35591) = 1523365982"], "final_answer": "1523365982", "answer_type": "integer", "kind": "expression", "math_text": "-42802 * (-35591)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -42802, \"b\": -35591}", "seed": "9194009927236918979", "semantic_fingerprint": "sha256:8ff754eb64b61733827fa6aeb43d49ede8bfc599b73e09c646f6174604168ee1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000808", "prompt": "Evaluate: (-19309 + (-96539 - 83591)) * 13729", "solution_steps": ["Subtract: -96539 - 83591 = -180130", "Add: -19309 + (-180130) = -199439", "Multiply: -199439 * 13729 = -2738098031"], "final_answer": "-2738098031", "answer_type": "integer", "kind": "expression", "math_text": "(-19309 + (-96539 - 83591)) * 13729", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19309, \"b\": -96539, \"c\": 83591, \"d\": 13729}", "seed": "13985197635829000485", "semantic_fingerprint": "sha256:26a43be39e9798b2d18010602ce86011dfddb5ef99499be37cb8f9f4f35dc006", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000809", "prompt": "Compute: (-8740 * (-6802) + 2603) / (16943 + 8662) + (-15492)", "solution_steps": ["Multiply: -8740 * (-6802) = 59449480", "Add: 59449480 + 2603 = 59452083", "Add: 16943 + 8662 = 25605", "Divide: 59452083 / 25605 = 6605787/2845", "Add: 6605787/2845 + (-15492) = -37468953/2845"], "final_answer": "-37468953/2845", "answer_type": "rational", "kind": "expression", "math_text": "(-8740 * (-6802) + 2603) / (16943 + 8662) + (-15492)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ (* n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8740, \"b\": -6802, \"c\": 2603, \"d\": 16943, \"e\": 8662, \"f\": -15492}", "seed": "2748299324966764293", "semantic_fingerprint": "sha256:6bd139109779a626475f4ae5da9e511e661c0774df66a4e4e9c933376a26456a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000810", "prompt": "Compute: -36058 - (-2353) + (-3778) / 4233", "solution_steps": ["Subtract: -36058 - (-2353) = -33705", "Divide: -3778 / 4233 = -3778/4233", "Add: -33705 + (-3778/4233) = -142677043/4233"], "final_answer": "-142677043/4233", "answer_type": "rational", "kind": "expression", "math_text": "-36058 - (-2353) + (-3778) / 4233", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36058, \"b\": -2353, \"c\": -3778, \"d\": 4233}", "seed": "2317269535555488629", "semantic_fingerprint": "sha256:b71b213d0ae8be450967576b062157819dd23449b52213e45191a756d9bf5b8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000811", "prompt": "Evaluate: 1158 + (-7633 + 2893 * (-2823))", "solution_steps": ["Multiply: 2893 * (-2823) = -8166939", "Add: -7633 + (-8166939) = -8174572", "Add: 1158 + (-8174572) = -8173414"], "final_answer": "-8173414", "answer_type": "integer", "kind": "expression", "math_text": "1158 + (-7633 + 2893 * (-2823))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1158, \"b\": -7633, \"c\": 2893, \"d\": -2823}", "seed": "11922161110116001845", "semantic_fingerprint": "sha256:697ffe31823db9d1ca59778809311a19701b670b724dffa6522954595ba1fb37", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000812", "prompt": "Compute: 99600 * (-46529)", "solution_steps": ["Multiply: 99600 * (-46529) = -4634288400"], "final_answer": "-4634288400", "answer_type": "integer", "kind": "expression", "math_text": "99600 * (-46529)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 99600, \"b\": -46529}", "seed": "12384894086894946757", "semantic_fingerprint": "sha256:30434d218b3f743f26d7e5bf02faabeb244fbbd32376ffcec1511c20276cf6e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000813", "prompt": "Solve for x: 36x - 4054 = x - 2234", "solution_steps": ["Subtract x from both sides: 35x - 4054 = -2234", "Add 4054 to both sides: 35x = 1820", "Divide both sides by 35: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x - 4054 = x - 2234", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 4054, \"d\": -2234, \"x\": 52}", "seed": "10357541862991739046", "semantic_fingerprint": "sha256:9371d7ffcec43ec2b05acddda4acdb3334f302cf4cef4a532e3e0908e8dd2d29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000814", "prompt": "Calculate: -1599 / 2961", "solution_steps": ["Divide: -1599 / 2961 = -533/987"], "final_answer": "-533/987", "answer_type": "rational", "kind": "expression", "math_text": "-1599 / 2961", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1599, \"b\": 2961}", "seed": "9096559264157779562", "semantic_fingerprint": "sha256:f18c9f655c31061a34871b61e1e1fd11ecf0f642ab13144d6b8f0265a0d40b10", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000815", "prompt": "Calculate: -5047 * (1195 + (-4275 - (-26603)))", "solution_steps": ["Subtract: -4275 - (-26603) = 22328", "Add: 1195 + 22328 = 23523", "Multiply: -5047 * 23523 = -118720581"], "final_answer": "-118720581", "answer_type": "integer", "kind": "expression", "math_text": "-5047 * (1195 + (-4275 - (-26603)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5047, \"b\": 1195, \"c\": -4275, \"d\": -26603}", "seed": "6473355073117446561", "semantic_fingerprint": "sha256:32bd498e4507ecb8ea4543ed533111e0c57e770ccf1288247d060049ddde08fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000816", "prompt": "Calculate: 5688 * 66804", "solution_steps": ["Multiply: 5688 * 66804 = 379981152"], "final_answer": "379981152", "answer_type": "integer", "kind": "expression", "math_text": "5688 * 66804", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5688, \"b\": 66804}", "seed": "9530587347111302339", "semantic_fingerprint": "sha256:cb1ac8a729e782bb12d5262c06e514e156eadaa2cf4353eeb26ce3c2e6395ea1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000817", "prompt": "Evaluate: 1281 - (-86178 + (-4686) + (-9821))", "solution_steps": ["Add: -86178 + (-4686) = -90864", "Add: -90864 + (-9821) = -100685", "Subtract: 1281 - (-100685) = 101966"], "final_answer": "101966", "answer_type": "integer", "kind": "expression", "math_text": "1281 - (-86178 + (-4686) + (-9821))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1281, \"b\": -86178, \"c\": -4686, \"d\": -9821}", "seed": "1107075351600576099", "semantic_fingerprint": "sha256:4d1355029d7ace4952db0989f5a5e0c7d7cb66941676ea7325e8d4e7a8b10341", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000818", "prompt": "Compute: 70020 * (-3986) + (-4906) - (-17886) + (-8365)", "solution_steps": ["Multiply: 70020 * (-3986) = -279099720", "Add: -279099720 + (-4906) = -279104626", "Subtract: -279104626 - (-17886) = -279086740", "Add: -279086740 + (-8365) = -279095105"], "final_answer": "-279095105", "answer_type": "integer", "kind": "expression", "math_text": "70020 * (-3986) + (-4906) - (-17886) + (-8365)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 70020, \"b\": -3986, \"c\": -4906, \"d\": -17886, \"e\": -8365}", "seed": "1211841141857056394", "semantic_fingerprint": "sha256:c9b92122163f6ea9a53f9a787d605b66ab0de23b58c29106a739843ed4f1a191", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000819", "prompt": "Find x: 30x + 41622 = -39(x - 1023)", "solution_steps": ["Expand: 30x + 41622 = -39x + 39897", "Add 39x to both sides: 69x + 41622 = 39897", "Subtract 41622 from both sides: 69x = -1725", "Divide both sides by 69: x = -25"], "final_answer": "-25", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 41622 = -39(x - 1023)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": -39, \"c\": 1023, \"e\": 41622, \"x\": -25}", "seed": "15494586868820839574", "semantic_fingerprint": "sha256:610659191b08a34fd94cc58af01eb6f6013d38dd4f21bcf5d29b558fa6150740", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000820", "prompt": "Calculate: (-68889 + 8997 - 6245) * 6911", "solution_steps": ["Add: -68889 + 8997 = -59892", "Subtract: -59892 - 6245 = -66137", "Multiply: -66137 * 6911 = -457072807"], "final_answer": "-457072807", "answer_type": "integer", "kind": "expression", "math_text": "(-68889 + 8997 - 6245) * 6911", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -68889, \"b\": 8997, \"c\": 6245, \"d\": 6911}", "seed": "6607319847756399049", "semantic_fingerprint": "sha256:191f24223edd85b31b6306dbc78d038bc722486df5c79d87c4abbd105cc98ab1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000821", "prompt": "Compute: -6860 + (-1831) * 7446 - 1387", "solution_steps": ["Multiply: -1831 * 7446 = -13633626", "Add: -6860 + (-13633626) = -13640486", "Subtract: -13640486 - 1387 = -13641873"], "final_answer": "-13641873", "answer_type": "integer", "kind": "expression", "math_text": "-6860 + (-1831) * 7446 - 1387", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6860, \"b\": -1831, \"c\": 7446, \"d\": 1387}", "seed": "15107902616157409545", "semantic_fingerprint": "sha256:552ba623e4ad4efa2f1e6023acb07f617a62622ec4268bcc5b41baba5148202d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000822", "prompt": "Calculate: -69577 - (-5531) - 25209", "solution_steps": ["Subtract: -69577 - (-5531) = -64046", "Subtract: -64046 - 25209 = -89255"], "final_answer": "-89255", "answer_type": "integer", "kind": "expression", "math_text": "-69577 - (-5531) - 25209", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69577, \"b\": -5531, \"c\": 25209}", "seed": "12741880421234238166", "semantic_fingerprint": "sha256:af957c667506f0b751f48e9de4e8e20ee1132dc3ac9d394738e7c73d5d3bb7e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000823", "prompt": "Compute: 8110 * (5469 / (-3747 - (-49897)) * (-7909))", "solution_steps": ["Subtract: -3747 - (-49897) = 46150", "Divide: 5469 / 46150 = 5469/46150", "Multiply: (5469/46150) * (-7909) = -43254321/46150", "Multiply: 8110 * (-43254321/46150) = -35079254331/4615"], "final_answer": "-35079254331/4615", "answer_type": "rational", "kind": "expression", "math_text": "8110 * (5469 / (-3747 - (-49897)) * (-7909))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8110, \"b\": 5469, \"c\": -3747, \"d\": -49897, \"e\": -7909}", "seed": "7967395474626816265", "semantic_fingerprint": "sha256:d8197bdd62aa43f6338d3b93efeaa4fac8b6858c776bd42697bc7a39b500eb5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000824", "prompt": "Evaluate: 40638 - (-15129 + 6276 - (-3204))", "solution_steps": ["Add: -15129 + 6276 = -8853", "Subtract: -8853 - (-3204) = -5649", "Subtract: 40638 - (-5649) = 46287"], "final_answer": "46287", "answer_type": "integer", "kind": "expression", "math_text": "40638 - (-15129 + 6276 - (-3204))", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40638, \"b\": -15129, \"c\": 6276, \"d\": -3204}", "seed": "12945917929261366288", "semantic_fingerprint": "sha256:61b7af6a47769cb388d0fe06035fb86828b2d9327929446c5244037aa4c14ac3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000825", "prompt": "What is 1717 - (9176 - (-8115) * (99085 + 3784 - (-5033)))?", "solution_steps": ["Add: 99085 + 3784 = 102869", "Subtract: 102869 - (-5033) = 107902", "Multiply: -8115 * 107902 = -875624730", "Subtract: 9176 - (-875624730) = 875633906", "Subtract: 1717 - 875633906 = -875632189"], "final_answer": "-875632189", "answer_type": "integer", "kind": "expression", "math_text": "1717 - (9176 - (-8115) * (99085 + 3784 - (-5033)))", "variable": null, "family": "expression_5op", "shape": "(- n (- n (* n (- (+ n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1717, \"b\": 9176, \"c\": -8115, \"d\": 99085, \"e\": 3784, \"f\": -5033}", "seed": "14704651886997873739", "semantic_fingerprint": "sha256:9017e8cda7329344dcee1ee91e53c0b1962a25656e20f86837d6813df80116f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000826", "prompt": "What is -34704 / (-7973) * 2526?", "solution_steps": ["Divide: -34704 / (-7973) = 34704/7973", "Multiply: (34704/7973) * 2526 = 87662304/7973"], "final_answer": "87662304/7973", "answer_type": "rational", "kind": "expression", "math_text": "-34704 / (-7973) * 2526", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34704, \"b\": -7973, \"c\": 2526}", "seed": "7844580078947183058", "semantic_fingerprint": "sha256:8a4c67fc9b40312461423f8daa2d694382891507119d2b6451ab6cc2d920eae0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000827", "prompt": "Compute: -6779 - (7462 + (-1618))", "solution_steps": ["Add: 7462 + (-1618) = 5844", "Subtract: -6779 - 5844 = -12623"], "final_answer": "-12623", "answer_type": "integer", "kind": "expression", "math_text": "-6779 - (7462 + (-1618))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6779, \"b\": 7462, \"c\": -1618}", "seed": "2509677580928291144", "semantic_fingerprint": "sha256:ccac7c23af7118ceeb8d1eb4de7b28b5824b2ef68fd5fd839d8bb3d50f89b554", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000828", "prompt": "Compute: -7887 * (-49740 - (-10938))", "solution_steps": ["Subtract: -49740 - (-10938) = -38802", "Multiply: -7887 * (-38802) = 306031374"], "final_answer": "306031374", "answer_type": "integer", "kind": "expression", "math_text": "-7887 * (-49740 - (-10938))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7887, \"b\": -49740, \"c\": -10938}", "seed": "16190580228393931072", "semantic_fingerprint": "sha256:f2928c3624d159df8a2e6e78d003b4335b1a6b0720c4aaba3778f514aa3fbcb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000829", "prompt": "What is (-4483 - 51607) / (-8699) + 17481?", "solution_steps": ["Subtract: -4483 - 51607 = -56090", "Divide: -56090 / (-8699) = 56090/8699", "Add: 56090/8699 + 17481 = 152123309/8699"], "final_answer": "152123309/8699", "answer_type": "rational", "kind": "expression", "math_text": "(-4483 - 51607) / (-8699) + 17481", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4483, \"b\": 51607, \"c\": -8699, \"d\": 17481}", "seed": "5727895974669849124", "semantic_fingerprint": "sha256:6627999ba09992e7a96ddd68dfc9e82a116b4292acb4840c8c283688ccfd90ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000830", "prompt": "What is 50124 * 7993 / (-44315) - (84439 - (-88679))?", "solution_steps": ["Multiply: 50124 * 7993 = 400641132", "Divide: 400641132 / (-44315) = -400641132/44315", "Subtract: 84439 - (-88679) = 173118", "Subtract: -400641132/44315 - 173118 = -8072365302/44315"], "final_answer": "-8072365302/44315", "answer_type": "rational", "kind": "expression", "math_text": "50124 * 7993 / (-44315) - (84439 - (-88679))", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 50124, \"b\": 7993, \"c\": -44315, \"d\": 84439, \"e\": -88679}", "seed": "18125861641362651663", "semantic_fingerprint": "sha256:5bc560cd8357dc0230b38bc65caf84fca8d5ef708d2c581c3875f886940a43dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000831", "prompt": "What is -85869 * 72937 - (-74559) * (-4346) - (-2293)?", "solution_steps": ["Multiply: -85869 * 72937 = -6263027253", "Multiply: -74559 * (-4346) = 324033414", "Subtract: -6263027253 - 324033414 = -6587060667", "Subtract: -6587060667 - (-2293) = -6587058374"], "final_answer": "-6587058374", "answer_type": "integer", "kind": "expression", "math_text": "-85869 * 72937 - (-74559) * (-4346) - (-2293)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85869, \"b\": 72937, \"c\": -74559, \"d\": -4346, \"e\": -2293}", "seed": "14507894374842431497", "semantic_fingerprint": "sha256:344be13142406821b07eb9bf1ee1c5c012ba00d98a24af8ea70284ea6ac1fa0a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000832", "prompt": "What is (-74584 * (-6316) + (-6511)) / 1978 + (-87403)?", "solution_steps": ["Multiply: -74584 * (-6316) = 471072544", "Add: 471072544 + (-6511) = 471066033", "Divide: 471066033 / 1978 = 471066033/1978", "Add: 471066033/1978 + (-87403) = 298182899/1978"], "final_answer": "298182899/1978", "answer_type": "rational", "kind": "expression", "math_text": "(-74584 * (-6316) + (-6511)) / 1978 + (-87403)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -74584, \"b\": -6316, \"c\": -6511, \"d\": 1978, \"e\": -87403}", "seed": "4620532139713517689", "semantic_fingerprint": "sha256:5d55304506aa4f3a2a322d714791a37179260e854a4a4a3bb399599f344d1bd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000833", "prompt": "What is -8207 - (-8573 - (-3539 + 10157))?", "solution_steps": ["Add: -3539 + 10157 = 6618", "Subtract: -8573 - 6618 = -15191", "Subtract: -8207 - (-15191) = 6984"], "final_answer": "6984", "answer_type": "integer", "kind": "expression", "math_text": "-8207 - (-8573 - (-3539 + 10157))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8207, \"b\": -8573, \"c\": -3539, \"d\": 10157}", "seed": "6750540768717147194", "semantic_fingerprint": "sha256:6fb516d6f463d4ac4659c0ce535bb0750a765f014eca073bc063d55152bdbc7e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000834", "prompt": "Compute: 6792 / (-5082) + (-40569)", "solution_steps": ["Divide: 6792 / (-5082) = -1132/847", "Add: -1132/847 + (-40569) = -34363075/847"], "final_answer": "-34363075/847", "answer_type": "rational", "kind": "expression", "math_text": "6792 / (-5082) + (-40569)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6792, \"b\": -5082, \"c\": -40569}", "seed": "1333533644148366710", "semantic_fingerprint": "sha256:593f5765ce604a43c10c0c261f07d3bb4571f740a701894dd6f8ab2691617650", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000835", "prompt": "Evaluate: -33674 / (-7072 - (-5667))", "solution_steps": ["Subtract: -7072 - (-5667) = -1405", "Divide: -33674 / (-1405) = 33674/1405"], "final_answer": "33674/1405", "answer_type": "rational", "kind": "expression", "math_text": "-33674 / (-7072 - (-5667))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33674, \"b\": -7072, \"c\": -5667}", "seed": "664730113832833807", "semantic_fingerprint": "sha256:e595e57721d4fac5e3aad110d97a523d4af7ffa891419292bbb1e2459128cfca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000836", "prompt": "Solve the equation x + 33891 = 30(x + 1150) for x.", "solution_steps": ["Expand: x + 33891 = 30x + 34500", "Subtract 30x from both sides: -29x + 33891 = 34500", "Subtract 33891 from both sides: -29x = 609", "Divide both sides by -29: x = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33891 = 30(x + 1150)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 1150, \"d\": 33891, \"x\": -21}", "seed": "3705360912521041787", "semantic_fingerprint": "sha256:22130cb0b1995750c32694e952d05892cc2c87c6628f3054db391a1c012cb40d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000837", "prompt": "Solve the equation 27(x + 16714) = -39x for x.", "solution_steps": ["Expand: 27x + 451278 = -39x", "Add 39x to both sides: 66x + 451278 = 0", "Subtract 451278 from both sides: 66x = -451278", "Divide both sides by 66: x = -75213/11"], "final_answer": "-75213/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 16714) = -39x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 16714, \"c\": -39}", "seed": "7077057669228949332", "semantic_fingerprint": "sha256:4cd75c596312e91c8b0bb5f436c5d888ce37e37b2e132fd50089a5a3dc80a535", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000838", "prompt": "Solve the equation -14x + 1155 = x for x.", "solution_steps": ["Subtract x from both sides: -15x + 1155 = 0", "Subtract 1155 from both sides: -15x = -1155", "Divide both sides by -15: x = 77"], "final_answer": "77", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x + 1155 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"c\": 1155, \"x\": 77}", "seed": "5823747016173115552", "semantic_fingerprint": "sha256:621a633081ad742f99e4bfbd6425b43050dcae61952fd7a6a38d245f80ac36bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000839", "prompt": "Find x: -18(x + 4061) + 1321 = 21(x - 4961) + 30181", "solution_steps": ["Expand: -18x - 73098 + 1321 = 21(x - 4961) + 30181", "Expand: -18x - 73098 + 1321 = 21x - 104181 + 30181", "Combine constants: -18x - 71777 = 21x - 104181 + 30181", "Combine constants: -18x - 71777 = 21x - 74000", "Subtract 21x from both sides: -39x - 71777 = -74000", "Add 71777 to both sides: -39x = -2223", "Divide both sides by -39: x = 57"], "final_answer": "57", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x + 4061) + 1321 = 21(x - 4961) + 30181", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 4061, \"c\": 1321, \"d\": 21, \"e\": 4961, \"g\": 30181, \"x\": 57}", "seed": "11485067905152665624", "semantic_fingerprint": "sha256:0cb7383cfd7785fbfdbd4ecff94ff78f707ed4435f1fd009502f374810a6700e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000840", "prompt": "Calculate: 39629 / (-2428) + 3754", "solution_steps": ["Divide: 39629 / (-2428) = -39629/2428", "Add: -39629/2428 + 3754 = 9075083/2428"], "final_answer": "9075083/2428", "answer_type": "rational", "kind": "expression", "math_text": "39629 / (-2428) + 3754", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39629, \"b\": -2428, \"c\": 3754}", "seed": "15074580563982222524", "semantic_fingerprint": "sha256:b75177e19950ee205d6590d5fb5cd03ee696694cebb698151907c66ba93a6441", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000841", "prompt": "Compute: 66727 + 8089", "solution_steps": ["Add: 66727 + 8089 = 74816"], "final_answer": "74816", "answer_type": "integer", "kind": "expression", "math_text": "66727 + 8089", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 66727, \"b\": 8089}", "seed": "14268376784114550986", "semantic_fingerprint": "sha256:55904643549561c4502124f6d859c9eddcb63408146c9b3f6e286fe83315853d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000842", "prompt": "Calculate: 2410 / (9339 + (-20393))", "solution_steps": ["Add: 9339 + (-20393) = -11054", "Divide: 2410 / (-11054) = -1205/5527"], "final_answer": "-1205/5527", "answer_type": "rational", "kind": "expression", "math_text": "2410 / (9339 + (-20393))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2410, \"b\": 9339, \"c\": -20393}", "seed": "3166773995071156045", "semantic_fingerprint": "sha256:2da3d3ff025faec9c01b861c5f32b341d1dd01a3e69adee5384b3e82f3b7b1d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000843", "prompt": "What value of x satisfies x = 30x - 4754?", "solution_steps": ["Subtract 30x from both sides: -29x = -4754", "Divide both sides by -29: x = 4754/29"], "final_answer": "4754/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 30x - 4754", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 4754}", "seed": "18377181043240816056", "semantic_fingerprint": "sha256:75e1c647bb0585fc24ae57fd3308756f5db0b685f79d5ea140a660c927ff84c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000844", "prompt": "Evaluate: -82414 + 21271", "solution_steps": ["Add: -82414 + 21271 = -61143"], "final_answer": "-61143", "answer_type": "integer", "kind": "expression", "math_text": "-82414 + 21271", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -82414, \"b\": 21271}", "seed": "13896527969303897985", "semantic_fingerprint": "sha256:fda743c3442b951507c19e71ace31f2069c4987097ddf1c99da0fe169fe3d1aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000845", "prompt": "Solve the equation x + 2574 = 33(x + 1553) - 45891 for x.", "solution_steps": ["Expand: x + 2574 = 33x + 51249 - 45891", "Combine constants: x + 2574 = 33x + 5358", "Subtract 33x from both sides: -32x + 2574 = 5358", "Subtract 2574 from both sides: -32x = 2784", "Divide both sides by -32: x = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2574 = 33(x + 1553) - 45891", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2574, \"b\": 33, \"c\": 1553, \"e\": -45891, \"x\": -87}", "seed": "14992791904241185568", "semantic_fingerprint": "sha256:7e553df74bedffece8336c85ae8a32281e8067aa602e43048a51b00e0a990503", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000846", "prompt": "Calculate: 65815 / 5908 - (-1921)", "solution_steps": ["Divide: 65815 / 5908 = 65815/5908", "Subtract: 65815/5908 - (-1921) = 11415083/5908"], "final_answer": "11415083/5908", "answer_type": "rational", "kind": "expression", "math_text": "65815 / 5908 - (-1921)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 65815, \"b\": 5908, \"c\": -1921}", "seed": "10407790135242259130", "semantic_fingerprint": "sha256:77c3f9c64989a720c77a36656209edc568e9bef5917004d6a745dbfbb419f572", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000847", "prompt": "Find x: 31x = x - 1320", "solution_steps": ["Subtract x from both sides: 30x = -1320", "Divide both sides by 30: x = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x = x - 1320", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -1320, \"x\": -44}", "seed": "3028734587527718825", "semantic_fingerprint": "sha256:58ef5390d4d2ecb16e025cff67c1062720fc034f74c155c42a393d11f0af8d9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000848", "prompt": "Calculate: -7326 / (4318 + 3690) * (-3439)", "solution_steps": ["Add: 4318 + 3690 = 8008", "Divide: -7326 / 8008 = -333/364", "Multiply: (-333/364) * (-3439) = 1145187/364"], "final_answer": "1145187/364", "answer_type": "rational", "kind": "expression", "math_text": "-7326 / (4318 + 3690) * (-3439)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7326, \"b\": 4318, \"c\": 3690, \"d\": -3439}", "seed": "5296865848378954119", "semantic_fingerprint": "sha256:92e4e818b30401faa45a4bb291be01f62600110938e39a42401d6598034e9cad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000849", "prompt": "Find x: 21x = x", "solution_steps": ["Subtract x from both sides: 20x = 0", "Divide both sides by 20: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21}", "seed": "10200116839406758825", "semantic_fingerprint": "sha256:b645de8fdd2b3d72931cae7650207bc94a03faf27a18133cf10d26bd0773b07a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000850", "prompt": "Compute: -39667 + (-4275)", "solution_steps": ["Add: -39667 + (-4275) = -43942"], "final_answer": "-43942", "answer_type": "integer", "kind": "expression", "math_text": "-39667 + (-4275)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -39667, \"b\": -4275}", "seed": "10267550251576223530", "semantic_fingerprint": "sha256:92d72cd2450cefe692465e0d1d68041ef6caa0d87e7aabe9ab998c5a649bf551", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000851", "prompt": "Compute: -39756 * 4978 / (-9698) - (-3943 - (-3166))", "solution_steps": ["Multiply: -39756 * 4978 = -197905368", "Divide: -197905368 / (-9698) = 98952684/4849", "Subtract: -3943 - (-3166) = -777", "Subtract: 98952684/4849 - (-777) = 102720357/4849"], "final_answer": "102720357/4849", "answer_type": "rational", "kind": "expression", "math_text": "-39756 * 4978 / (-9698) - (-3943 - (-3166))", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -39756, \"b\": 4978, \"c\": -9698, \"d\": -3943, \"e\": -3166}", "seed": "14035658674367878444", "semantic_fingerprint": "sha256:65b9a7c31bb6a2edd1ac94126866bde63674ea08a8f88e3a331e5ea140ea40dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000852", "prompt": "Compute: 6239 + (-46002 + (-28796)) + (8727 - (-1840))", "solution_steps": ["Add: -46002 + (-28796) = -74798", "Add: 6239 + (-74798) = -68559", "Subtract: 8727 - (-1840) = 10567", "Add: -68559 + 10567 = -57992"], "final_answer": "-57992", "answer_type": "integer", "kind": "expression", "math_text": "6239 + (-46002 + (-28796)) + (8727 - (-1840))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6239, \"b\": -46002, \"c\": -28796, \"d\": 8727, \"e\": -1840}", "seed": "8921593373572881142", "semantic_fingerprint": "sha256:d6ab22073c0b32f9f0309515d60a5d92695c5653c4d4a832c21109783f0355c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000853", "prompt": "Evaluate: -43481 / 8409 + (-6922 - (-3325))", "solution_steps": ["Divide: -43481 / 8409 = -43481/8409", "Subtract: -6922 - (-3325) = -3597", "Add: -43481/8409 + (-3597) = -30290654/8409"], "final_answer": "-30290654/8409", "answer_type": "rational", "kind": "expression", "math_text": "-43481 / 8409 + (-6922 - (-3325))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -43481, \"b\": 8409, \"c\": -6922, \"d\": -3325}", "seed": "10693871716759741038", "semantic_fingerprint": "sha256:d536e477345a9059466b1cd5c73464ba4308824ebbce27ccb3b997ecc5df2ee2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000854", "prompt": "What value of x satisfies 32(x + 7350) = x?", "solution_steps": ["Expand: 32x + 235200 = x", "Subtract x from both sides: 31x + 235200 = 0", "Subtract 235200 from both sides: 31x = -235200", "Divide both sides by 31: x = -235200/31"], "final_answer": "-235200/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 7350) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 7350}", "seed": "5975741571888692991", "semantic_fingerprint": "sha256:154fdc0e705489c9ea9b23b63c02b6a0875ccf8e57def0f650d9bfb734992b2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000855", "prompt": "Evaluate: -57785 * 27924", "solution_steps": ["Multiply: -57785 * 27924 = -1613588340"], "final_answer": "-1613588340", "answer_type": "integer", "kind": "expression", "math_text": "-57785 * 27924", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -57785, \"b\": 27924}", "seed": "3163531390898730109", "semantic_fingerprint": "sha256:9e54af4350f68aedb530afa1af08d74bc7849b67551e1c5bb4918e3fb319daf0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000856", "prompt": "Solve for x: x + 5973 = 34x", "solution_steps": ["Subtract 34x from both sides: -33x + 5973 = 0", "Subtract 5973 from both sides: -33x = -5973", "Divide both sides by -33: x = 181"], "final_answer": "181", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5973 = 34x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"c\": 5973, \"x\": 181}", "seed": "3855323953305879342", "semantic_fingerprint": "sha256:269314761cb066d915fa162e295ef7ab557c44626bb53b22369ba903968b700c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000857", "prompt": "Calculate: (16072 + (-2825 + 94941)) * (-45268) / 1627", "solution_steps": ["Add: -2825 + 94941 = 92116", "Add: 16072 + 92116 = 108188", "Multiply: 108188 * (-45268) = -4897454384", "Divide: -4897454384 / 1627 = -4897454384/1627"], "final_answer": "-4897454384/1627", "answer_type": "rational", "kind": "expression", "math_text": "(16072 + (-2825 + 94941)) * (-45268) / 1627", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16072, \"b\": -2825, \"c\": 94941, \"d\": -45268, \"e\": 1627}", "seed": "647898008794057207", "semantic_fingerprint": "sha256:2c696a654b2c1f7c906e8d936ced3658835a56de21b03c9d646f72698ba98318", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000858", "prompt": "Evaluate: 96937 * 2143", "solution_steps": ["Multiply: 96937 * 2143 = 207735991"], "final_answer": "207735991", "answer_type": "integer", "kind": "expression", "math_text": "96937 * 2143", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 96937, \"b\": 2143}", "seed": "7536633010959327903", "semantic_fingerprint": "sha256:04f439ee860c4fd9b216cfd8d4138859034f6217552141417a98ee9efc98fe52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000859", "prompt": "Evaluate: -63027 + (-7518 + (-32086)) * (-83966)", "solution_steps": ["Add: -7518 + (-32086) = -39604", "Multiply: -39604 * (-83966) = 3325389464", "Add: -63027 + 3325389464 = 3325326437"], "final_answer": "3325326437", "answer_type": "integer", "kind": "expression", "math_text": "-63027 + (-7518 + (-32086)) * (-83966)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -63027, \"b\": -7518, \"c\": -32086, \"d\": -83966}", "seed": "7559265592096452880", "semantic_fingerprint": "sha256:60c8b7122fd663ee0001c0f340329f9841f7aff8e486c269317cfeeed067fa6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000860", "prompt": "Solve for x: x = -16(x + 2822) + 3314", "solution_steps": ["Expand: x = -16x - 45152 + 3314", "Combine constants: x = -16x - 41838", "Add 16x to both sides: 17x = -41838", "Divide both sides by 17: x = -41838/17"], "final_answer": "-41838/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -16(x + 2822) + 3314", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 2822, \"c\": 3314}", "seed": "7729573690555144961", "semantic_fingerprint": "sha256:055fe1f953fd20cbae8bf1fddb15627410fcf24290e8f8c36ef0a58470e795e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000861", "prompt": "Compute: 8708 - (-19048)", "solution_steps": ["Subtract: 8708 - (-19048) = 27756"], "final_answer": "27756", "answer_type": "integer", "kind": "expression", "math_text": "8708 - (-19048)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8708, \"b\": -19048}", "seed": "16894739672418406494", "semantic_fingerprint": "sha256:04badf76406eb0646960aec3606ae8b5199f5daa7c95d438f88920e20180afac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000862", "prompt": "Compute: 62192 * (62652 - 95186) + (-9518)", "solution_steps": ["Subtract: 62652 - 95186 = -32534", "Multiply: 62192 * (-32534) = -2023354528", "Add: -2023354528 + (-9518) = -2023364046"], "final_answer": "-2023364046", "answer_type": "integer", "kind": "expression", "math_text": "62192 * (62652 - 95186) + (-9518)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62192, \"b\": 62652, \"c\": 95186, \"d\": -9518}", "seed": "314171047084283171", "semantic_fingerprint": "sha256:c91b2733fef69478d00451a2d8d603781b60bd501b3d2aad9d7eaa83dd7b912b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000863", "prompt": "Calculate: 53648 + (-7476)", "solution_steps": ["Add: 53648 + (-7476) = 46172"], "final_answer": "46172", "answer_type": "integer", "kind": "expression", "math_text": "53648 + (-7476)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 53648, \"b\": -7476}", "seed": "13502839813181363715", "semantic_fingerprint": "sha256:8d8d00eb4c9627cd32c156d1a8b6f92e9e163ace3b9086cec3615796e36e09da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000864", "prompt": "What is -6046 + (74877 - (-9833) * (-61518))?", "solution_steps": ["Multiply: -9833 * (-61518) = 604906494", "Subtract: 74877 - 604906494 = -604831617", "Add: -6046 + (-604831617) = -604837663"], "final_answer": "-604837663", "answer_type": "integer", "kind": "expression", "math_text": "-6046 + (74877 - (-9833) * (-61518))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6046, \"b\": 74877, \"c\": -9833, \"d\": -61518}", "seed": "3187614364815581642", "semantic_fingerprint": "sha256:acfaf0a81f121f14fa3eca03ea1adffd85eaa4e48ee326e0584113eab135c577", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000865", "prompt": "What is (-2312 - (-5900)) / (1842 - 7326)?", "solution_steps": ["Subtract: -2312 - (-5900) = 3588", "Subtract: 1842 - 7326 = -5484", "Divide: 3588 / (-5484) = -299/457"], "final_answer": "-299/457", "answer_type": "rational", "kind": "expression", "math_text": "(-2312 - (-5900)) / (1842 - 7326)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2312, \"b\": -5900, \"c\": 1842, \"d\": 7326}", "seed": "9740643449133818121", "semantic_fingerprint": "sha256:d096bd042841493bc54c32f02b8c29e816710ad451b3b8f6abdc15ddf0e3c450", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000866", "prompt": "What value of x satisfies -19(x + 12820) + 6215 = -8187?", "solution_steps": ["Expand: -19x - 243580 + 6215 = -8187", "Combine constants: -19x - 237365 = -8187", "Add 237365 to both sides: -19x = 229178", "Divide both sides by -19: x = -12062"], "final_answer": "-12062", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x + 12820) + 6215 = -8187", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 12820, \"c\": 6215, \"d\": -8187}", "seed": "18345898900737335117", "semantic_fingerprint": "sha256:4e7ed561e65a18c3fcc36f36a946bee2da1b564769d545c2b04fbf48162fce57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000867", "prompt": "What is -7095 * (-1549)?", "solution_steps": ["Multiply: -7095 * (-1549) = 10990155"], "final_answer": "10990155", "answer_type": "integer", "kind": "expression", "math_text": "-7095 * (-1549)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7095, \"b\": -1549}", "seed": "18126175817957349150", "semantic_fingerprint": "sha256:38e312c4c6a8ba6372ac9f1e811a82cc9742ef028e4621f568ab1d791e8bc8eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000868", "prompt": "Compute: (-13475 - (-98638)) * (-9173)", "solution_steps": ["Subtract: -13475 - (-98638) = 85163", "Multiply: 85163 * (-9173) = -781200199"], "final_answer": "-781200199", "answer_type": "integer", "kind": "expression", "math_text": "(-13475 - (-98638)) * (-9173)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13475, \"b\": -98638, \"c\": -9173}", "seed": "8564787460291980962", "semantic_fingerprint": "sha256:f5d717dce433c37a5e5430091955f42f94ecbb2931031eea90cff42de88e8859", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000869", "prompt": "Calculate: -3406 * (9610 * (-2798))", "solution_steps": ["Multiply: 9610 * (-2798) = -26888780", "Multiply: -3406 * (-26888780) = 91583184680"], "final_answer": "91583184680", "answer_type": "integer", "kind": "expression", "math_text": "-3406 * (9610 * (-2798))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3406, \"b\": 9610, \"c\": -2798}", "seed": "10528932622768294920", "semantic_fingerprint": "sha256:037b26f286a9959a1fcab22f638909bc42f3782ddccec1865a5dd127cb4e3e04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000870", "prompt": "Compute: -76567 - (-5997 * 9412 + 35203) * 8082", "solution_steps": ["Multiply: -5997 * 9412 = -56443764", "Add: -56443764 + 35203 = -56408561", "Multiply: -56408561 * 8082 = -455893990002", "Subtract: -76567 - (-455893990002) = 455893913435"], "final_answer": "455893913435", "answer_type": "integer", "kind": "expression", "math_text": "-76567 - (-5997 * 9412 + 35203) * 8082", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76567, \"b\": -5997, \"c\": 9412, \"d\": 35203, \"e\": 8082}", "seed": "10474346489998174261", "semantic_fingerprint": "sha256:2ef33f76bc85d5d803b5ba00bac697b86e748b32df5de92545f07b29bc011ec2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000871", "prompt": "What is (9185 + 46978) * (-4773)?", "solution_steps": ["Add: 9185 + 46978 = 56163", "Multiply: 56163 * (-4773) = -268065999"], "final_answer": "-268065999", "answer_type": "integer", "kind": "expression", "math_text": "(9185 + 46978) * (-4773)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9185, \"b\": 46978, \"c\": -4773}", "seed": "13586554829205672382", "semantic_fingerprint": "sha256:bf30c49ba67567e3f559fc090bc90295a0739d8c4b21531039910dc4557208c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000872", "prompt": "Evaluate: -5501 * (-2729)", "solution_steps": ["Multiply: -5501 * (-2729) = 15012229"], "final_answer": "15012229", "answer_type": "integer", "kind": "expression", "math_text": "-5501 * (-2729)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5501, \"b\": -2729}", "seed": "1422977626021418993", "semantic_fingerprint": "sha256:1d5b1c02b2ff24b1ce695d9e42c29e199c7ffd51f77a55690d9e94a052c9770e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000873", "prompt": "Evaluate: 9053 + (-65527) * 51588", "solution_steps": ["Multiply: -65527 * 51588 = -3380406876", "Add: 9053 + (-3380406876) = -3380397823"], "final_answer": "-3380397823", "answer_type": "integer", "kind": "expression", "math_text": "9053 + (-65527) * 51588", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9053, \"b\": -65527, \"c\": 51588}", "seed": "14425459086910898827", "semantic_fingerprint": "sha256:9ca5db7563d7f4efbf42cd75a63e424aa551a0eda92e4d4524482027b64b119d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000874", "prompt": "Calculate: 1211 + (-94447 - 42123)", "solution_steps": ["Subtract: -94447 - 42123 = -136570", "Add: 1211 + (-136570) = -135359"], "final_answer": "-135359", "answer_type": "integer", "kind": "expression", "math_text": "1211 + (-94447 - 42123)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1211, \"b\": -94447, \"c\": 42123}", "seed": "10918601508658002827", "semantic_fingerprint": "sha256:3e74c2eca652262d74685d826e0644dd41905a3e4e06e6c6820c6b991bdb2ae5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000875", "prompt": "What is 44312 / 93041 - 40171?", "solution_steps": ["Divide: 44312 / 93041 = 44312/93041", "Subtract: 44312/93041 - 40171 = -3737505699/93041"], "final_answer": "-3737505699/93041", "answer_type": "rational", "kind": "expression", "math_text": "44312 / 93041 - 40171", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44312, \"b\": 93041, \"c\": 40171}", "seed": "12280342967633621557", "semantic_fingerprint": "sha256:d2de070e1a532147b3e90b4c393a5b88d3cfa254299d871db5ae121a994ee385", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000876", "prompt": "What is (-9793 - 31501) * 8705?", "solution_steps": ["Subtract: -9793 - 31501 = -41294", "Multiply: -41294 * 8705 = -359464270"], "final_answer": "-359464270", "answer_type": "integer", "kind": "expression", "math_text": "(-9793 - 31501) * 8705", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9793, \"b\": 31501, \"c\": 8705}", "seed": "1889831799674639502", "semantic_fingerprint": "sha256:7a6d1d780fd457c7a97154a33c3cc5383ac1b1c49f4b120a6cc347d8453c8e2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000877", "prompt": "Calculate: (1114 + 8450) * (-5762 + 5745) - 6736", "solution_steps": ["Add: 1114 + 8450 = 9564", "Add: -5762 + 5745 = -17", "Multiply: 9564 * (-17) = -162588", "Subtract: -162588 - 6736 = -169324"], "final_answer": "-169324", "answer_type": "integer", "kind": "expression", "math_text": "(1114 + 8450) * (-5762 + 5745) - 6736", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1114, \"b\": 8450, \"c\": -5762, \"d\": 5745, \"e\": 6736}", "seed": "9451517017180564060", "semantic_fingerprint": "sha256:d5fca55b9fc71ea80f2275b7a8e5a14d1ff1f6508356107e67a66718e8bbf3e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000878", "prompt": "Evaluate: -5115 / (-51908)", "solution_steps": ["Divide: -5115 / (-51908) = 5115/51908"], "final_answer": "5115/51908", "answer_type": "rational", "kind": "expression", "math_text": "-5115 / (-51908)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5115, \"b\": -51908}", "seed": "7700820859933477907", "semantic_fingerprint": "sha256:a1b5c337acaa39362993bcf7a4aa0107c85677d784b3dee420e258804b424ad5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000879", "prompt": "Evaluate: 59229 + (-21819)", "solution_steps": ["Add: 59229 + (-21819) = 37410"], "final_answer": "37410", "answer_type": "integer", "kind": "expression", "math_text": "59229 + (-21819)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 59229, \"b\": -21819}", "seed": "35440804181336398", "semantic_fingerprint": "sha256:3372627c501c6b5afa86626ac9b83a118653639a8858b9e0a8a53360f861bddd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000880", "prompt": "Evaluate: (-3417 - 22092) * (-4532 + 86392)", "solution_steps": ["Subtract: -3417 - 22092 = -25509", "Add: -4532 + 86392 = 81860", "Multiply: -25509 * 81860 = -2088166740"], "final_answer": "-2088166740", "answer_type": "integer", "kind": "expression", "math_text": "(-3417 - 22092) * (-4532 + 86392)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3417, \"b\": 22092, \"c\": -4532, \"d\": 86392}", "seed": "12417835423613315255", "semantic_fingerprint": "sha256:46db1cfb3dab0fb4b9ce5231d95613430f7cc6578ed03fe1e7dfb296d79cf795", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000881", "prompt": "Compute: 8408 - (-11774) - (-4229) + (-8739)", "solution_steps": ["Subtract: 8408 - (-11774) = 20182", "Subtract: 20182 - (-4229) = 24411", "Add: 24411 + (-8739) = 15672"], "final_answer": "15672", "answer_type": "integer", "kind": "expression", "math_text": "8408 - (-11774) - (-4229) + (-8739)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8408, \"b\": -11774, \"c\": -4229, \"d\": -8739}", "seed": "3636248201792810655", "semantic_fingerprint": "sha256:cb0ec492069f411ced9a851928886bfb139df7ed3357aa5d18f6bce26757b790", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000882", "prompt": "Solve for x: 35(x + 33798) = x", "solution_steps": ["Expand: 35x + 1182930 = x", "Subtract x from both sides: 34x + 1182930 = 0", "Subtract 1182930 from both sides: 34x = -1182930", "Divide both sides by 34: x = -591465/17"], "final_answer": "-591465/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 33798) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 33798}", "seed": "13032763905912717964", "semantic_fingerprint": "sha256:af4311729bcda1e71818913195784e4344cddfd7343dda72d509b619c87c4e4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000883", "prompt": "Calculate: 14096 / 8003", "solution_steps": ["Divide: 14096 / 8003 = 14096/8003"], "final_answer": "14096/8003", "answer_type": "rational", "kind": "expression", "math_text": "14096 / 8003", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14096, \"b\": 8003}", "seed": "4940176151303927076", "semantic_fingerprint": "sha256:8d7a38080eff85c08a9a79ea37ecdae43397481e05bfa687a16195048da8f795", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000884", "prompt": "What value of x satisfies 37x = 18(x + 4757)?", "solution_steps": ["Expand: 37x = 18x + 85626", "Subtract 18x from both sides: 19x = 85626", "Divide both sides by 19: x = 85626/19"], "final_answer": "85626/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x = 18(x + 4757)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 18, \"c\": 4757}", "seed": "547547863147532519", "semantic_fingerprint": "sha256:13a15409c856961a104850c437083a7195e18f121ee6a6a3e6668c8b0dec08e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000885", "prompt": "Calculate: (80812 - 3075 - (2670 + 1121)) * (48254 - (-69251))", "solution_steps": ["Subtract: 80812 - 3075 = 77737", "Add: 2670 + 1121 = 3791", "Subtract: 77737 - 3791 = 73946", "Subtract: 48254 - (-69251) = 117505", "Multiply: 73946 * 117505 = 8689024730"], "final_answer": "8689024730", "answer_type": "integer", "kind": "expression", "math_text": "(80812 - 3075 - (2670 + 1121)) * (48254 - (-69251))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 80812, \"b\": 3075, \"c\": 2670, \"d\": 1121, \"e\": 48254, \"f\": -69251}", "seed": "11804928116680996886", "semantic_fingerprint": "sha256:17aa521bd53b4c896d92219798b4c495cd0e8f13feb460fa2d185bf650ea12df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000886", "prompt": "Compute: 5890 * 26844", "solution_steps": ["Multiply: 5890 * 26844 = 158111160"], "final_answer": "158111160", "answer_type": "integer", "kind": "expression", "math_text": "5890 * 26844", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5890, \"b\": 26844}", "seed": "13935264156985809696", "semantic_fingerprint": "sha256:73917dd8431b90785730ca178c85c94bad7a6031e3749ccc66ab72126fa47556", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000887", "prompt": "Calculate: 29093 * (4256 / (-33812))", "solution_steps": ["Divide: 4256 / (-33812) = -1064/8453", "Multiply: 29093 * (-1064/8453) = -30954952/8453"], "final_answer": "-30954952/8453", "answer_type": "rational", "kind": "expression", "math_text": "29093 * (4256 / (-33812))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29093, \"b\": 4256, \"c\": -33812}", "seed": "5905024373827288546", "semantic_fingerprint": "sha256:49d2593393670f8e57011da793dab883a583c41d1d031e9426fc7d80da18b3d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000888", "prompt": "Evaluate: 5363 * (3138 + 64574)", "solution_steps": ["Add: 3138 + 64574 = 67712", "Multiply: 5363 * 67712 = 363139456"], "final_answer": "363139456", "answer_type": "integer", "kind": "expression", "math_text": "5363 * (3138 + 64574)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5363, \"b\": 3138, \"c\": 64574}", "seed": "11144134819139795272", "semantic_fingerprint": "sha256:2268849115cf72b17b35ba48a92ca8a6b82cd063b67cd7985ecde9068b8a7ce0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000889", "prompt": "Evaluate: 4754 * (12558 - (-2500) + 55168) / (-91831) - (-4945)", "solution_steps": ["Subtract: 12558 - (-2500) = 15058", "Add: 15058 + 55168 = 70226", "Multiply: 4754 * 70226 = 333854404", "Divide: 333854404 / (-91831) = -333854404/91831", "Subtract: -333854404/91831 - (-4945) = 120249891/91831"], "final_answer": "120249891/91831", "answer_type": "rational", "kind": "expression", "math_text": "4754 * (12558 - (-2500) + 55168) / (-91831) - (-4945)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n (+ (- n n) n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4754, \"b\": 12558, \"c\": -2500, \"d\": 55168, \"e\": -91831, \"f\": -4945}", "seed": "6846783258026834374", "semantic_fingerprint": "sha256:287f7ac3d8b1f9f984d6c6a28879f5f4e48ddd535a036146c7871eaa83dc038a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000890", "prompt": "What value of x satisfies x + 4870 = 18(x + 3572) - 61466?", "solution_steps": ["Expand: x + 4870 = 18x + 64296 - 61466", "Combine constants: x + 4870 = 18x + 2830", "Subtract 18x from both sides: -17x + 4870 = 2830", "Subtract 4870 from both sides: -17x = -2040", "Divide both sides by -17: x = 120"], "final_answer": "120", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4870 = 18(x + 3572) - 61466", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4870, \"b\": 18, \"c\": 3572, \"e\": -61466, \"x\": 120}", "seed": "7303329672017421150", "semantic_fingerprint": "sha256:cab60bbbcaa30ff0e99bae276d46a14a4d805717873822f555bb65a2c0fe1a2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000891", "prompt": "Calculate: 62075 * (5442 / (-6813))", "solution_steps": ["Divide: 5442 / (-6813) = -1814/2271", "Multiply: 62075 * (-1814/2271) = -112604050/2271"], "final_answer": "-112604050/2271", "answer_type": "rational", "kind": "expression", "math_text": "62075 * (5442 / (-6813))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 62075, \"b\": 5442, \"c\": -6813}", "seed": "12835952783570138663", "semantic_fingerprint": "sha256:6585ff5cd73b7b6c98be7348d179816dbd088c293ee7531e9d6bc724bfb1b2ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000892", "prompt": "Compute: -83677 + 7767 + (-5691)", "solution_steps": ["Add: -83677 + 7767 = -75910", "Add: -75910 + (-5691) = -81601"], "final_answer": "-81601", "answer_type": "integer", "kind": "expression", "math_text": "-83677 + 7767 + (-5691)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83677, \"b\": 7767, \"c\": -5691}", "seed": "14051485796378665911", "semantic_fingerprint": "sha256:cb0e4d5091e009eec2914f692ea7ab4b90ed2bc9b96a8e4c5379033d849e7541", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000893", "prompt": "What is 4289 / (29538 + 9519)?", "solution_steps": ["Add: 29538 + 9519 = 39057", "Divide: 4289 / 39057 = 4289/39057"], "final_answer": "4289/39057", "answer_type": "rational", "kind": "expression", "math_text": "4289 / (29538 + 9519)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4289, \"b\": 29538, \"c\": 9519}", "seed": "5490455080236399251", "semantic_fingerprint": "sha256:6048e764169ccad7d23cfce7146395583d389447094b405e062b30aa2ea87146", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000894", "prompt": "What is 2358 * (61413 + (-8013))?", "solution_steps": ["Add: 61413 + (-8013) = 53400", "Multiply: 2358 * 53400 = 125917200"], "final_answer": "125917200", "answer_type": "integer", "kind": "expression", "math_text": "2358 * (61413 + (-8013))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2358, \"b\": 61413, \"c\": -8013}", "seed": "15363344810164054138", "semantic_fingerprint": "sha256:97527832baa2e54088c7284f5545d12459f72dcbd1ea812a006a8a037b7cc3bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000895", "prompt": "Solve for x: x + 2835 = 37x + 9315", "solution_steps": ["Subtract 37x from both sides: -36x + 2835 = 9315", "Subtract 2835 from both sides: -36x = 6480", "Divide both sides by -36: x = -180"], "final_answer": "-180", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2835 = 37x + 9315", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2835, \"b\": 37, \"d\": 9315, \"x\": -180}", "seed": "12189979227803385337", "semantic_fingerprint": "sha256:c444ee6dbf996e067f5164e50269d83b42583e1d435fe58d14190e36f3338a4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000896", "prompt": "Calculate: (-7665 + (-10924)) * (-3712)", "solution_steps": ["Add: -7665 + (-10924) = -18589", "Multiply: -18589 * (-3712) = 69002368"], "final_answer": "69002368", "answer_type": "integer", "kind": "expression", "math_text": "(-7665 + (-10924)) * (-3712)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7665, \"b\": -10924, \"c\": -3712}", "seed": "8209543294669395164", "semantic_fingerprint": "sha256:a637c167600d1ee08197a931588e6a24ea32e3c0c9848bd14361ea3c7c9c5e31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000897", "prompt": "What is 65425 + 16476?", "solution_steps": ["Add: 65425 + 16476 = 81901"], "final_answer": "81901", "answer_type": "integer", "kind": "expression", "math_text": "65425 + 16476", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 65425, \"b\": 16476}", "seed": "16552824052645932638", "semantic_fingerprint": "sha256:b35bc3d6a9042f88c49e8537a27902062e1cc0fad345177fed46033b24866805", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000898", "prompt": "What is -40909 - (-59944) + 96884?", "solution_steps": ["Subtract: -40909 - (-59944) = 19035", "Add: 19035 + 96884 = 115919"], "final_answer": "115919", "answer_type": "integer", "kind": "expression", "math_text": "-40909 - (-59944) + 96884", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40909, \"b\": -59944, \"c\": 96884}", "seed": "4468304151025429795", "semantic_fingerprint": "sha256:4d5ea68d95a82e2ce2dc15dbf86f42c4b3b76f927b93eeef2a3dd7c44a7b841c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000899", "prompt": "Evaluate: 8060 - (-7373 + (-4989)) + (55319 + (-90880))", "solution_steps": ["Add: -7373 + (-4989) = -12362", "Subtract: 8060 - (-12362) = 20422", "Add: 55319 + (-90880) = -35561", "Add: 20422 + (-35561) = -15139"], "final_answer": "-15139", "answer_type": "integer", "kind": "expression", "math_text": "8060 - (-7373 + (-4989)) + (55319 + (-90880))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8060, \"b\": -7373, \"c\": -4989, \"d\": 55319, \"e\": -90880}", "seed": "4674504805327372145", "semantic_fingerprint": "sha256:8270bd974e9605ae11303d98b2999dfa9ad2bdecad70d68e6494c6b615b74be1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000900", "prompt": "Evaluate: 9280 + (-93234) + 5507 * (-2956) / (-55694)", "solution_steps": ["Add: 9280 + (-93234) = -83954", "Multiply: 5507 * (-2956) = -16278692", "Divide: -16278692 / (-55694) = 8139346/27847", "Add: -83954 + 8139346/27847 = -2329727692/27847"], "final_answer": "-2329727692/27847", "answer_type": "rational", "kind": "expression", "math_text": "9280 + (-93234) + 5507 * (-2956) / (-55694)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9280, \"b\": -93234, \"c\": 5507, \"d\": -2956, \"e\": -55694}", "seed": "12963052528317302248", "semantic_fingerprint": "sha256:0f868b29f79eed1ac67fcba90c8637516f2742281be415550ef088001ab66ef1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000901", "prompt": "Compute: (-2343 + (-71979)) * 85439", "solution_steps": ["Add: -2343 + (-71979) = -74322", "Multiply: -74322 * 85439 = -6349997358"], "final_answer": "-6349997358", "answer_type": "integer", "kind": "expression", "math_text": "(-2343 + (-71979)) * 85439", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2343, \"b\": -71979, \"c\": 85439}", "seed": "3068909045576707647", "semantic_fingerprint": "sha256:4ad400d194288aac5960c19069e0816f9c3343696303e8d4e236b75b57d96283", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000902", "prompt": "Evaluate: -8170 - (-1515 + 7872)", "solution_steps": ["Add: -1515 + 7872 = 6357", "Subtract: -8170 - 6357 = -14527"], "final_answer": "-14527", "answer_type": "integer", "kind": "expression", "math_text": "-8170 - (-1515 + 7872)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8170, \"b\": -1515, \"c\": 7872}", "seed": "18186545223251487143", "semantic_fingerprint": "sha256:85e81bda1f1cb5a6cd616365b22fa61f5a80241655a22b9b1a92eb708c2769b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000903", "prompt": "Find x: x - 3774 = -36x", "solution_steps": ["Add 36x to both sides: 37x - 3774 = 0", "Add 3774 to both sides: 37x = 3774", "Divide both sides by 37: x = 102"], "final_answer": "102", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3774 = -36x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36, \"c\": -3774, \"x\": 102}", "seed": "17662092570490546662", "semantic_fingerprint": "sha256:cecdf5f674a77e8c577da9f7fdac738dc7e3b7ed811f1808ed219f6950bcdca7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000904", "prompt": "Evaluate: -6707 - (-1406)", "solution_steps": ["Subtract: -6707 - (-1406) = -5301"], "final_answer": "-5301", "answer_type": "integer", "kind": "expression", "math_text": "-6707 - (-1406)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6707, \"b\": -1406}", "seed": "12869399472251432245", "semantic_fingerprint": "sha256:e041f351fbe218b0d89a283929537000f18ccddc04076f9634deab9e954d1681", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000905", "prompt": "Compute: -54507 / 7553", "solution_steps": ["Divide: -54507 / 7553 = -54507/7553"], "final_answer": "-54507/7553", "answer_type": "rational", "kind": "expression", "math_text": "-54507 / 7553", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -54507, \"b\": 7553}", "seed": "5421941455557863060", "semantic_fingerprint": "sha256:6342328097b2b012bfd710317ae149fa52fc79bbc57996f0c196d72633ac4e6a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000906", "prompt": "Compute: 44995 - (-9761 - (-41904))", "solution_steps": ["Subtract: -9761 - (-41904) = 32143", "Subtract: 44995 - 32143 = 12852"], "final_answer": "12852", "answer_type": "integer", "kind": "expression", "math_text": "44995 - (-9761 - (-41904))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44995, \"b\": -9761, \"c\": -41904}", "seed": "9598841960259181633", "semantic_fingerprint": "sha256:84d3ac728d145ff2c3a3c02c2cb3c49a6c11a14434de86b110266eb6686283a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000907", "prompt": "Calculate: 8171 / (-7679) + (-18202) - (-8116 - (-3343))", "solution_steps": ["Divide: 8171 / (-7679) = -8171/7679", "Add: -8171/7679 + (-18202) = -139781329/7679", "Subtract: -8116 - (-3343) = -4773", "Subtract: -139781329/7679 - (-4773) = -103129462/7679"], "final_answer": "-103129462/7679", "answer_type": "rational", "kind": "expression", "math_text": "8171 / (-7679) + (-18202) - (-8116 - (-3343))", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8171, \"b\": -7679, \"c\": -18202, \"d\": -8116, \"e\": -3343}", "seed": "1941377777314485651", "semantic_fingerprint": "sha256:4a2140d570a6d7455ee98dedef0dd6a65fb96c630a1834bb8ed5dbab48a5ad97", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000908", "prompt": "What is -3938 / (5872 / (-3449))?", "solution_steps": ["Divide: 5872 / (-3449) = -5872/3449", "Divide: -3938 / (-5872/3449) = 6791081/2936"], "final_answer": "6791081/2936", "answer_type": "rational", "kind": "expression", "math_text": "-3938 / (5872 / (-3449))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3938, \"b\": 5872, \"c\": -3449}", "seed": "15736279914828162279", "semantic_fingerprint": "sha256:7b6508ac58596ed48fa3e33c3f47956b4ead636649fa168e42ea68ea7245f524", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000909", "prompt": "What value of x satisfies 18x - 2405 = -1253?", "solution_steps": ["Add 2405 to both sides: 18x = 1152", "Divide both sides by 18: x = 64"], "final_answer": "64", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x - 2405 = -1253", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2405, \"d\": -1253, \"x\": 64}", "seed": "14239994742497567544", "semantic_fingerprint": "sha256:1714d1b34fddc61ee1295e5f70a204881b704f8f39777bdc03934265c68bca42", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000910", "prompt": "What is -6639 - 2448 + (-9917) / 6700?", "solution_steps": ["Subtract: -6639 - 2448 = -9087", "Divide: -9917 / 6700 = -9917/6700", "Add: -9087 + (-9917/6700) = -60892817/6700"], "final_answer": "-60892817/6700", "answer_type": "rational", "kind": "expression", "math_text": "-6639 - 2448 + (-9917) / 6700", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6639, \"b\": 2448, \"c\": -9917, \"d\": 6700}", "seed": "15099598684775745813", "semantic_fingerprint": "sha256:32ebe039688f28825e74e3854264e5a27ab5bd0607a2aed1130ebad5099d876d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000911", "prompt": "Compute: (-37902 - (-67500)) * (-2506 / (-63719)) + 5853", "solution_steps": ["Subtract: -37902 - (-67500) = 29598", "Divide: -2506 / (-63719) = 2506/63719", "Multiply: 29598 * (2506/63719) = 74172588/63719", "Add: 74172588/63719 + 5853 = 447119895/63719"], "final_answer": "447119895/63719", "answer_type": "rational", "kind": "expression", "math_text": "(-37902 - (-67500)) * (-2506 / (-63719)) + 5853", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37902, \"b\": -67500, \"c\": -2506, \"d\": -63719, \"e\": 5853}", "seed": "7317739294063561035", "semantic_fingerprint": "sha256:523f6fd9c24b8c7b2a79e738fdbbd941cd8b74f16d97f5df8972d757d9409e8c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000912", "prompt": "Evaluate: -84936 - (-18379 + 94473 / (-7860))", "solution_steps": ["Divide: 94473 / (-7860) = -31491/2620", "Add: -18379 + (-31491/2620) = -48184471/2620", "Subtract: -84936 - (-48184471/2620) = -174347849/2620"], "final_answer": "-174347849/2620", "answer_type": "rational", "kind": "expression", "math_text": "-84936 - (-18379 + 94473 / (-7860))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -84936, \"b\": -18379, \"c\": 94473, \"d\": -7860}", "seed": "5169364341925649754", "semantic_fingerprint": "sha256:3416ef25b0581c5ea63e84607001c14e88eb703d0502f72733517deb89de37b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000913", "prompt": "What is 8661 + 68301 - 5324?", "solution_steps": ["Add: 8661 + 68301 = 76962", "Subtract: 76962 - 5324 = 71638"], "final_answer": "71638", "answer_type": "integer", "kind": "expression", "math_text": "8661 + 68301 - 5324", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8661, \"b\": 68301, \"c\": 5324}", "seed": "16244988518296046889", "semantic_fingerprint": "sha256:853ade2c403102690ba1d63528847b21627bd78dc7317f24910f2efabbe693d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000914", "prompt": "Solve the equation -21(x - 8612) = x - 30712 for x.", "solution_steps": ["Expand: -21x + 180852 = x - 30712", "Subtract x from both sides: -22x + 180852 = -30712", "Subtract 180852 from both sides: -22x = -211564", "Divide both sides by -22: x = 105782/11"], "final_answer": "105782/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 8612) = x - 30712", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 8612, \"c\": 30712}", "seed": "8476892445199527793", "semantic_fingerprint": "sha256:99b1f8ad33643b4d2c0567123ea85760d1b693310bba13e7434be23182bcde47", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000915", "prompt": "Calculate: -22124 + (-39377) / (-9460)", "solution_steps": ["Divide: -39377 / (-9460) = 39377/9460", "Add: -22124 + 39377/9460 = -209253663/9460"], "final_answer": "-209253663/9460", "answer_type": "rational", "kind": "expression", "math_text": "-22124 + (-39377) / (-9460)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22124, \"b\": -39377, \"c\": -9460}", "seed": "15757148411773426208", "semantic_fingerprint": "sha256:d0ec6c7ec003dc2eafbec1ef7e7b5c9c705a895c259bafd29ff2d67f9d7d45a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000916", "prompt": "Solve for x: x + 4104 = -23x", "solution_steps": ["Add 23x to both sides: 24x + 4104 = 0", "Subtract 4104 from both sides: 24x = -4104", "Divide both sides by 24: x = -171"], "final_answer": "-171", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4104 = -23x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23, \"c\": 4104, \"x\": -171}", "seed": "13555613825781408969", "semantic_fingerprint": "sha256:533f6ccc0ccccb02f2f15854fee5b3906cf6e89d282079ad5f8f7f16b438fbb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000917", "prompt": "Solve for x: 33(x - 1064) + 70034 = -35(x - 1502) - 12684", "solution_steps": ["Expand: 33x - 35112 + 70034 = -35(x - 1502) - 12684", "Expand: 33x - 35112 + 70034 = -35x + 52570 - 12684", "Combine constants: 33x + 34922 = -35x + 52570 - 12684", "Combine constants: 33x + 34922 = -35x + 39886", "Add 35x to both sides: 68x + 34922 = 39886", "Subtract 34922 from both sides: 68x = 4964", "Divide both sides by 68: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 1064) + 70034 = -35(x - 1502) - 12684", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 1064, \"c\": 70034, \"d\": -35, \"e\": 1502, \"g\": -12684, \"x\": 73}", "seed": "12442452370528148567", "semantic_fingerprint": "sha256:462d7891582c4df9847007c4c565f03894aecd4d4469dc8052dabef299143c5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000918", "prompt": "Find x: 36x - 3381 = 17(x - 7570) - 36652", "solution_steps": ["Expand: 36x - 3381 = 17x - 128690 - 36652", "Combine constants: 36x - 3381 = 17x - 165342", "Subtract 17x from both sides: 19x - 3381 = -165342", "Add 3381 to both sides: 19x = -161961", "Divide both sides by 19: x = -161961/19"], "final_answer": "-161961/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x - 3381 = 17(x - 7570) - 36652", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 3381, \"c\": 17, \"d\": 7570, \"e\": 36652}", "seed": "8744977404556773163", "semantic_fingerprint": "sha256:3c9d9e4a5b8531b3f3fb7a6092fd3c738f84e112eae2323c8e98d591a17f7886", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000919", "prompt": "Calculate: 30571 / (3737 / 8246)", "solution_steps": ["Divide: 3737 / 8246 = 3737/8246", "Divide: 30571 / (3737/8246) = 252088466/3737"], "final_answer": "252088466/3737", "answer_type": "rational", "kind": "expression", "math_text": "30571 / (3737 / 8246)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30571, \"b\": 3737, \"c\": 8246}", "seed": "12660833546235317334", "semantic_fingerprint": "sha256:ceb9ca8d0e6cbb4dbf8f571fac5b8040e73d5afe80e2cc08e5fee5c2d8b857af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000920", "prompt": "Compute: -76514 + (-90797 + (-5890)) - (-55094 + 6307)", "solution_steps": ["Add: -90797 + (-5890) = -96687", "Add: -76514 + (-96687) = -173201", "Add: -55094 + 6307 = -48787", "Subtract: -173201 - (-48787) = -124414"], "final_answer": "-124414", "answer_type": "integer", "kind": "expression", "math_text": "-76514 + (-90797 + (-5890)) - (-55094 + 6307)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76514, \"b\": -90797, \"c\": -5890, \"d\": -55094, \"e\": 6307}", "seed": "2577952378497729439", "semantic_fingerprint": "sha256:40cfe255fa46f5735ef941bc450c041530128c672008a8d8cdc6fa565c264068", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000921", "prompt": "What is -22712 / (-9089)?", "solution_steps": ["Divide: -22712 / (-9089) = 22712/9089"], "final_answer": "22712/9089", "answer_type": "rational", "kind": "expression", "math_text": "-22712 / (-9089)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22712, \"b\": -9089}", "seed": "5562233414465903396", "semantic_fingerprint": "sha256:951c41d223131ae2a297c626342f715d1d6347c0ca76198b539bdaba65cbe7e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000922", "prompt": "Evaluate: -18303 * (-4870) - 5625", "solution_steps": ["Multiply: -18303 * (-4870) = 89135610", "Subtract: 89135610 - 5625 = 89129985"], "final_answer": "89129985", "answer_type": "integer", "kind": "expression", "math_text": "-18303 * (-4870) - 5625", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18303, \"b\": -4870, \"c\": 5625}", "seed": "6913034628431171934", "semantic_fingerprint": "sha256:129144deab4c7b7361a1d60c2fc2fb2a9b8d85ec13f9cc4259d64ba392a7ac86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000923", "prompt": "What value of x satisfies 31(x + 1627) - 12630 = 20(x - 31142) - 4524?", "solution_steps": ["Expand: 31x + 50437 - 12630 = 20(x - 31142) - 4524", "Expand: 31x + 50437 - 12630 = 20x - 622840 - 4524", "Combine constants: 31x + 37807 = 20x - 622840 - 4524", "Combine constants: 31x + 37807 = 20x - 627364", "Subtract 20x from both sides: 11x + 37807 = -627364", "Subtract 37807 from both sides: 11x = -665171", "Divide both sides by 11: x = -665171/11"], "final_answer": "-665171/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 1627) - 12630 = 20(x - 31142) - 4524", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 1627, \"c\": 12630, \"d\": 20, \"e\": 31142, \"f\": 4524}", "seed": "407561463884606312", "semantic_fingerprint": "sha256:f2a17a04692f36cebdf783f9a403367c4dab9cd9bd42c448f2ab5f0c6c3be2f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000924", "prompt": "Compute: 6422 * (-1503)", "solution_steps": ["Multiply: 6422 * (-1503) = -9652266"], "final_answer": "-9652266", "answer_type": "integer", "kind": "expression", "math_text": "6422 * (-1503)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6422, \"b\": -1503}", "seed": "12526161822255187796", "semantic_fingerprint": "sha256:50bbf77f977fadb265d7ea1fe4098bf3a40e47f67deadbe79f6fab2617b738bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000925", "prompt": "What value of x satisfies -35x - 7189 = 19x + 2445?", "solution_steps": ["Subtract 19x from both sides: -54x - 7189 = 2445", "Add 7189 to both sides: -54x = 9634", "Divide both sides by -54: x = -4817/27"], "final_answer": "-4817/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35x - 7189 = 19x + 2445", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 7189, \"c\": 19, \"d\": 2445}", "seed": "8519971123337408919", "semantic_fingerprint": "sha256:4b521e4543c00ae3cb2edba4e589ba52b1a990071d406681633f20e56eb57c4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000926", "prompt": "Evaluate: 9794 / 7048 * 2054", "solution_steps": ["Divide: 9794 / 7048 = 4897/3524", "Multiply: (4897/3524) * 2054 = 5029219/1762"], "final_answer": "5029219/1762", "answer_type": "rational", "kind": "expression", "math_text": "9794 / 7048 * 2054", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9794, \"b\": 7048, \"c\": 2054}", "seed": "47939638880877026", "semantic_fingerprint": "sha256:9ded37b1fa7059358a451c67c2a94896bc47e26f2ed4495edb33531b981eb120", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000927", "prompt": "Solve the equation x = 24(x + 6886) - 4342 for x.", "solution_steps": ["Expand: x = 24x + 165264 - 4342", "Combine constants: x = 24x + 160922", "Subtract 24x from both sides: -23x = 160922", "Divide both sides by -23: x = -160922/23"], "final_answer": "-160922/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 24(x + 6886) - 4342", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 6886, \"c\": 4342}", "seed": "7699957777138328776", "semantic_fingerprint": "sha256:3ea539f46d726924314f01451fde2e0aa7822f2832233e95e14d9ebc0caac623", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000928", "prompt": "Calculate: 43437 + (-93971) + (16280 + 3971)", "solution_steps": ["Add: 43437 + (-93971) = -50534", "Add: 16280 + 3971 = 20251", "Add: -50534 + 20251 = -30283"], "final_answer": "-30283", "answer_type": "integer", "kind": "expression", "math_text": "43437 + (-93971) + (16280 + 3971)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 43437, \"b\": -93971, \"c\": 16280, \"d\": 3971}", "seed": "17182275952722609124", "semantic_fingerprint": "sha256:275e7ca8152f1bd5fc7cbb32c2f11b771d6ab853018c98591ea3402316a9f9d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000929", "prompt": "Compute: 6938 / (-1826 - (-1846 - (-6677))) + (-76056)", "solution_steps": ["Subtract: -1846 - (-6677) = 4831", "Subtract: -1826 - 4831 = -6657", "Divide: 6938 / (-6657) = -6938/6657", "Add: -6938/6657 + (-76056) = -506311730/6657"], "final_answer": "-506311730/6657", "answer_type": "rational", "kind": "expression", "math_text": "6938 / (-1826 - (-1846 - (-6677))) + (-76056)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6938, \"b\": -1826, \"c\": -1846, \"d\": -6677, \"e\": -76056}", "seed": "6296229675063009696", "semantic_fingerprint": "sha256:af91569ec53e23cf2db5f5ee4d79814942df369e56d6d6972a8c959a925f15e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000930", "prompt": "Compute: 5691 / (-3682 + (-87835))", "solution_steps": ["Add: -3682 + (-87835) = -91517", "Divide: 5691 / (-91517) = -5691/91517"], "final_answer": "-5691/91517", "answer_type": "rational", "kind": "expression", "math_text": "5691 / (-3682 + (-87835))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5691, \"b\": -3682, \"c\": -87835}", "seed": "12428223002841608413", "semantic_fingerprint": "sha256:7452fef17bf357411750ee8ffe35eb6cf15cee8ad0edfea286e265cd98b8a536", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000931", "prompt": "Calculate: 6354 / (-60168)", "solution_steps": ["Divide: 6354 / (-60168) = -1059/10028"], "final_answer": "-1059/10028", "answer_type": "rational", "kind": "expression", "math_text": "6354 / (-60168)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6354, \"b\": -60168}", "seed": "10112888728856523017", "semantic_fingerprint": "sha256:cffb24ed969ca3b6a1c61b356e20acc3b5201f85a4fcc433c1fedb41cb37ab62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000932", "prompt": "What value of x satisfies 19x = x + 3042?", "solution_steps": ["Subtract x from both sides: 18x = 3042", "Divide both sides by 18: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = x + 3042", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 3042, \"x\": 169}", "seed": "18383058095559924190", "semantic_fingerprint": "sha256:6312be014bdf661adf3de4b4432f90204e392d41f1dc4e8c9b7a53cca848dbe6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000933", "prompt": "Calculate: -7492 - (9885 - (-1240) - (61469 + 25590))", "solution_steps": ["Subtract: 9885 - (-1240) = 11125", "Add: 61469 + 25590 = 87059", "Subtract: 11125 - 87059 = -75934", "Subtract: -7492 - (-75934) = 68442"], "final_answer": "68442", "answer_type": "integer", "kind": "expression", "math_text": "-7492 - (9885 - (-1240) - (61469 + 25590))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7492, \"b\": 9885, \"c\": -1240, \"d\": 61469, \"e\": 25590}", "seed": "12450099439954634303", "semantic_fingerprint": "sha256:4b8bf5245899b175d92ca3b5d538c935f4434c9868a56bfb80ab8689f755e8ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000934", "prompt": "Evaluate: (9807 - (-80110) * 6706 - 91353) / 10356", "solution_steps": ["Multiply: -80110 * 6706 = -537217660", "Subtract: 9807 - (-537217660) = 537227467", "Subtract: 537227467 - 91353 = 537136114", "Divide: 537136114 / 10356 = 268568057/5178"], "final_answer": "268568057/5178", "answer_type": "rational", "kind": "expression", "math_text": "(9807 - (-80110) * 6706 - 91353) / 10356", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n (* n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9807, \"b\": -80110, \"c\": 6706, \"d\": 91353, \"e\": 10356}", "seed": "8623941425746689428", "semantic_fingerprint": "sha256:9e6c66b9d22a7b084a296e49435025cf91c0d8d8bd026f93974b39511d66fa7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000935", "prompt": "Solve the equation 30x + 4164 = x + 8833 for x.", "solution_steps": ["Subtract x from both sides: 29x + 4164 = 8833", "Subtract 4164 from both sides: 29x = 4669", "Divide both sides by 29: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 4164 = x + 8833", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 4164, \"d\": 8833, \"x\": 161}", "seed": "11985866825416864560", "semantic_fingerprint": "sha256:a53f45612b8702df3ab2ff93b8b5f7207c203b3e088cedd985ed592522b26d25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000936", "prompt": "Solve the equation -25(x + 4051) + 29974 = x - 75981 for x.", "solution_steps": ["Expand: -25x - 101275 + 29974 = x - 75981", "Combine constants: -25x - 71301 = x - 75981", "Subtract x from both sides: -26x - 71301 = -75981", "Add 71301 to both sides: -26x = -4680", "Divide both sides by -26: x = 180"], "final_answer": "180", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25(x + 4051) + 29974 = x - 75981", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 4051, \"c\": 29974, \"e\": -75981, \"x\": 180}", "seed": "6518430683058058789", "semantic_fingerprint": "sha256:60b7ba4e56b5ff40710b4eec10f497ca02d5fb035b1bf13dae03ef0af6acbf2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000937", "prompt": "What is (2480 - (90094 - (-3276))) * (-1682)?", "solution_steps": ["Subtract: 90094 - (-3276) = 93370", "Subtract: 2480 - 93370 = -90890", "Multiply: -90890 * (-1682) = 152876980"], "final_answer": "152876980", "answer_type": "integer", "kind": "expression", "math_text": "(2480 - (90094 - (-3276))) * (-1682)", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2480, \"b\": 90094, \"c\": -3276, \"d\": -1682}", "seed": "15309616639427233329", "semantic_fingerprint": "sha256:560ed67afb9be4e6ebc570ceff453065c7b5ad8a8023338c65725b77d8aace46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000938", "prompt": "Evaluate: 77497 / (-11746)", "solution_steps": ["Divide: 77497 / (-11746) = -11071/1678"], "final_answer": "-11071/1678", "answer_type": "rational", "kind": "expression", "math_text": "77497 / (-11746)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77497, \"b\": -11746}", "seed": "16042293816146926484", "semantic_fingerprint": "sha256:4c2e780e93193d8aa654e1cdd3a4b8de2f0362ff16b67898d069c2683746bc9b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000939", "prompt": "Find x: x = 34(x + 7406)", "solution_steps": ["Expand: x = 34x + 251804", "Subtract 34x from both sides: -33x = 251804", "Divide both sides by -33: x = -251804/33"], "final_answer": "-251804/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 34(x + 7406)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 7406}", "seed": "2443043056136058771", "semantic_fingerprint": "sha256:c9910dceaef842bdd87a0d49cb992e752fbcdfe81b3c09560fe926ee8cb9bd30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000940", "prompt": "Calculate: 93978 / 44837", "solution_steps": ["Divide: 93978 / 44837 = 93978/44837"], "final_answer": "93978/44837", "answer_type": "rational", "kind": "expression", "math_text": "93978 / 44837", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93978, \"b\": 44837}", "seed": "2998419919219736278", "semantic_fingerprint": "sha256:e94b38fe40742725add89f94ae8013bfbe21251328653021335bf1408999d169", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000941", "prompt": "Calculate: -97840 / (2686 * (-5504))", "solution_steps": ["Multiply: 2686 * (-5504) = -14783744", "Divide: -97840 / (-14783744) = 6115/923984"], "final_answer": "6115/923984", "answer_type": "rational", "kind": "expression", "math_text": "-97840 / (2686 * (-5504))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97840, \"b\": 2686, \"c\": -5504}", "seed": "10923996517062177197", "semantic_fingerprint": "sha256:6bfffa1c513526fff4e3eb53217e7ee32b3857b66050cdac495c21511cc3a431", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000942", "prompt": "Calculate: (90877 - 1685) * (-9608)", "solution_steps": ["Subtract: 90877 - 1685 = 89192", "Multiply: 89192 * (-9608) = -856956736"], "final_answer": "-856956736", "answer_type": "integer", "kind": "expression", "math_text": "(90877 - 1685) * (-9608)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90877, \"b\": 1685, \"c\": -9608}", "seed": "985342499863035619", "semantic_fingerprint": "sha256:ce639b41349bf2e73f4a26a81dcdd41b04f82c6f8212ab697b4c7a2ab461527e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000943", "prompt": "Calculate: -16814 / 66785 + 97479", "solution_steps": ["Divide: -16814 / 66785 = -16814/66785", "Add: -16814/66785 + 97479 = 6510118201/66785"], "final_answer": "6510118201/66785", "answer_type": "rational", "kind": "expression", "math_text": "-16814 / 66785 + 97479", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16814, \"b\": 66785, \"c\": 97479}", "seed": "3901835539277869159", "semantic_fingerprint": "sha256:73ab7fb40ee0fbddc7b02ace8b49e218358880ff91cea352f2c7fec03d1cca39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000944", "prompt": "Calculate: (5816 - (-7625)) / (-8076)", "solution_steps": ["Subtract: 5816 - (-7625) = 13441", "Divide: 13441 / (-8076) = -13441/8076"], "final_answer": "-13441/8076", "answer_type": "rational", "kind": "expression", "math_text": "(5816 - (-7625)) / (-8076)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5816, \"b\": -7625, \"c\": -8076}", "seed": "15325995199018501768", "semantic_fingerprint": "sha256:e217c863ec957e8a4ac4965dacbac2b4dd773ce721b1b9345872d937e0be4cf5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000945", "prompt": "What value of x satisfies x - 3894 = -21x?", "solution_steps": ["Add 21x to both sides: 22x - 3894 = 0", "Add 3894 to both sides: 22x = 3894", "Divide both sides by 22: x = 177"], "final_answer": "177", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3894 = -21x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21, \"c\": -3894, \"x\": 177}", "seed": "7025072909642766860", "semantic_fingerprint": "sha256:712f2024be885c3ddb5b95313d95793f6a13307901f738e2f6a0837e5f9f249f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000946", "prompt": "Compute: (-5872 - (-80311)) * (-34577 / (-3284) + (-2088))", "solution_steps": ["Subtract: -5872 - (-80311) = 74439", "Divide: -34577 / (-3284) = 34577/3284", "Add: 34577/3284 + (-2088) = -6822415/3284", "Multiply: 74439 * (-6822415/3284) = -507853750185/3284"], "final_answer": "-507853750185/3284", "answer_type": "rational", "kind": "expression", "math_text": "(-5872 - (-80311)) * (-34577 / (-3284) + (-2088))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5872, \"b\": -80311, \"c\": -34577, \"d\": -3284, \"e\": -2088}", "seed": "3208064778143900676", "semantic_fingerprint": "sha256:2e56e3540ad7d2299ef784b6611c9280fa072219ea21b2f9eb289b0cbce06d66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000947", "prompt": "Calculate: -31560 * (5050 / 1208)", "solution_steps": ["Divide: 5050 / 1208 = 2525/604", "Multiply: -31560 * (2525/604) = -19922250/151"], "final_answer": "-19922250/151", "answer_type": "rational", "kind": "expression", "math_text": "-31560 * (5050 / 1208)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31560, \"b\": 5050, \"c\": 1208}", "seed": "15774290177682788350", "semantic_fingerprint": "sha256:aa294ffc20b705a5c40d92b148db279073b65574edb94a5490f23a072866d9b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000948", "prompt": "What is 75972 - 9946 - 6235?", "solution_steps": ["Subtract: 75972 - 9946 = 66026", "Subtract: 66026 - 6235 = 59791"], "final_answer": "59791", "answer_type": "integer", "kind": "expression", "math_text": "75972 - 9946 - 6235", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75972, \"b\": 9946, \"c\": 6235}", "seed": "8231201439234455414", "semantic_fingerprint": "sha256:645183f6a121d90cb0ac9978303fced435dd7f6c7c1134ecf801b1a9ea61a3fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000949", "prompt": "Calculate: 20499 - (-68347)", "solution_steps": ["Subtract: 20499 - (-68347) = 88846"], "final_answer": "88846", "answer_type": "integer", "kind": "expression", "math_text": "20499 - (-68347)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 20499, \"b\": -68347}", "seed": "9328622549092343062", "semantic_fingerprint": "sha256:db547121c4091d19e7e2bc74530d8640844e9a44d44a2a97023284bcc5670cc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000950", "prompt": "Compute: 8398 - 1203 * (-1937) / (-73718 / 1587)", "solution_steps": ["Multiply: 1203 * (-1937) = -2330211", "Divide: -73718 / 1587 = -73718/1587", "Divide: -2330211 / (-73718/1587) = 3698044857/73718", "Subtract: 8398 - 3698044857/73718 = -3078961093/73718"], "final_answer": "-3078961093/73718", "answer_type": "rational", "kind": "expression", "math_text": "8398 - 1203 * (-1937) / (-73718 / 1587)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8398, \"b\": 1203, \"c\": -1937, \"d\": -73718, \"e\": 1587}", "seed": "8246419151596499407", "semantic_fingerprint": "sha256:09d5706c05908c9ff4bab852273ab623062f11b82b11d15e8b0ea680d7fa3b36", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000951", "prompt": "Compute: (-61221 - (-5520)) / (-4455)", "solution_steps": ["Subtract: -61221 - (-5520) = -55701", "Divide: -55701 / (-4455) = 2063/165"], "final_answer": "2063/165", "answer_type": "rational", "kind": "expression", "math_text": "(-61221 - (-5520)) / (-4455)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -61221, \"b\": -5520, \"c\": -4455}", "seed": "263469270574748963", "semantic_fingerprint": "sha256:213add869f28455c16fbc49d7dc596ef765e57257088f3a723c2c77051087180", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000952", "prompt": "Compute: 59977 / (-2904) * 32480", "solution_steps": ["Divide: 59977 / (-2904) = -59977/2904", "Multiply: (-59977/2904) * 32480 = -243506620/363"], "final_answer": "-243506620/363", "answer_type": "rational", "kind": "expression", "math_text": "59977 / (-2904) * 32480", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59977, \"b\": -2904, \"c\": 32480}", "seed": "8017368472513473520", "semantic_fingerprint": "sha256:d82deb3732fc1e67e28c698958c9a1769d67b98c73933028796db78871c4a0bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000953", "prompt": "Find x: -25(x + 50799) - 3845 = -39x", "solution_steps": ["Expand: -25x - 1269975 - 3845 = -39x", "Combine constants: -25x - 1273820 = -39x", "Add 39x to both sides: 14x - 1273820 = 0", "Add 1273820 to both sides: 14x = 1273820", "Divide both sides by 14: x = 636910/7"], "final_answer": "636910/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 50799) - 3845 = -39x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 50799, \"c\": 3845, \"d\": -39}", "seed": "6741950282225323306", "semantic_fingerprint": "sha256:e74270eba470a2b3e923816abe0734b94f88e8a6977100e1e815230b2c7df7fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000954", "prompt": "Calculate: -98778 + 2935 + (6912 - (-92999) / (-5021))", "solution_steps": ["Add: -98778 + 2935 = -95843", "Divide: -92999 / (-5021) = 92999/5021", "Subtract: 6912 - 92999/5021 = 34612153/5021", "Add: -95843 + 34612153/5021 = -446615550/5021"], "final_answer": "-446615550/5021", "answer_type": "rational", "kind": "expression", "math_text": "-98778 + 2935 + (6912 - (-92999) / (-5021))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -98778, \"b\": 2935, \"c\": 6912, \"d\": -92999, \"e\": -5021}", "seed": "3608403253157812756", "semantic_fingerprint": "sha256:b635e2242c2874212c2b07122107145abd2ac987366da6ace774c16d61ec6cfd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000955", "prompt": "What is -49903 + (21150 * (-5014) - (-35887) * 5541)?", "solution_steps": ["Multiply: 21150 * (-5014) = -106046100", "Multiply: -35887 * 5541 = -198849867", "Subtract: -106046100 - (-198849867) = 92803767", "Add: -49903 + 92803767 = 92753864"], "final_answer": "92753864", "answer_type": "integer", "kind": "expression", "math_text": "-49903 + (21150 * (-5014) - (-35887) * 5541)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -49903, \"b\": 21150, \"c\": -5014, \"d\": -35887, \"e\": 5541}", "seed": "2971179401574318433", "semantic_fingerprint": "sha256:dedb904a5db13b72e71f45443d8b16357c70007779d14410408dece961a43829", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000956", "prompt": "Evaluate: 9815 + (-9009) - 5467 - (2101 + 93990 + 3632)", "solution_steps": ["Add: 9815 + (-9009) = 806", "Subtract: 806 - 5467 = -4661", "Add: 2101 + 93990 = 96091", "Add: 96091 + 3632 = 99723", "Subtract: -4661 - 99723 = -104384"], "final_answer": "-104384", "answer_type": "integer", "kind": "expression", "math_text": "9815 + (-9009) - 5467 - (2101 + 93990 + 3632)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9815, \"b\": -9009, \"c\": 5467, \"d\": 2101, \"e\": 93990, \"f\": 3632}", "seed": "72364571812173420", "semantic_fingerprint": "sha256:8327cac6398ab74018c94684ed0c971c9a73344e8e9e8088501ceb4364cc9aaa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000957", "prompt": "Evaluate: (-7336 - (-9511)) * 4696", "solution_steps": ["Subtract: -7336 - (-9511) = 2175", "Multiply: 2175 * 4696 = 10213800"], "final_answer": "10213800", "answer_type": "integer", "kind": "expression", "math_text": "(-7336 - (-9511)) * 4696", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7336, \"b\": -9511, \"c\": 4696}", "seed": "1507151637449372815", "semantic_fingerprint": "sha256:58379d928d18c49f89638322e9d950f864868765339575b1ca42c4b215061921", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000958", "prompt": "Solve for x: 26x + 8489 = 6253", "solution_steps": ["Subtract 8489 from both sides: 26x = -2236", "Divide both sides by 26: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x + 8489 = 6253", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 8489, \"d\": 6253, \"x\": -86}", "seed": "11862089593766909760", "semantic_fingerprint": "sha256:6963cde6ecab8f06cb83f647411c3fa7d094eea98207bd60b4bfe76e9b0b098c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000959", "prompt": "Solve for x: 19x = 1767", "solution_steps": ["Divide both sides by 19: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = 1767", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 1767, \"x\": 93}", "seed": "4070650991788656849", "semantic_fingerprint": "sha256:3a73cdba2146cc900aa58d0dd9c2f8498f4c0e45d1ca6e878759dea63199bec7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000960", "prompt": "What is -9857 + 5560 / (-7497)?", "solution_steps": ["Divide: 5560 / (-7497) = -5560/7497", "Add: -9857 + (-5560/7497) = -73903489/7497"], "final_answer": "-73903489/7497", "answer_type": "rational", "kind": "expression", "math_text": "-9857 + 5560 / (-7497)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9857, \"b\": 5560, \"c\": -7497}", "seed": "827161465088462166", "semantic_fingerprint": "sha256:c852f636b6fedeca94cd89b101e60c4f8894bd22432edf2639b1c85504adbc6c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000961", "prompt": "What value of x satisfies 33(x + 7134) = 14(x + 8792)?", "solution_steps": ["Expand: 33x + 235422 = 14(x + 8792)", "Expand: 33x + 235422 = 14x + 123088", "Subtract 14x from both sides: 19x + 235422 = 123088", "Subtract 235422 from both sides: 19x = -112334", "Divide both sides by 19: x = -112334/19"], "final_answer": "-112334/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 7134) = 14(x + 8792)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 7134, \"c\": 14, \"d\": 8792}", "seed": "4354519647315481192", "semantic_fingerprint": "sha256:b0ebab682f64b41b06a0ab49a0ebae6896bad3ffe25a49626d7445d662ce5f30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000962", "prompt": "Calculate: -3529 + 8330 + 29005 / (-22626)", "solution_steps": ["Add: -3529 + 8330 = 4801", "Divide: 29005 / (-22626) = -29005/22626", "Add: 4801 + (-29005/22626) = 108598421/22626"], "final_answer": "108598421/22626", "answer_type": "rational", "kind": "expression", "math_text": "-3529 + 8330 + 29005 / (-22626)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3529, \"b\": 8330, \"c\": 29005, \"d\": -22626}", "seed": "17847795936594571679", "semantic_fingerprint": "sha256:0dba772580660377fd710f33c20d3be44e868ce305a1e7e64d1ac4bb64d61d5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000963", "prompt": "What is -9936 + (-8770) * (-3354) + (-9714)?", "solution_steps": ["Multiply: -8770 * (-3354) = 29414580", "Add: -9936 + 29414580 = 29404644", "Add: 29404644 + (-9714) = 29394930"], "final_answer": "29394930", "answer_type": "integer", "kind": "expression", "math_text": "-9936 + (-8770) * (-3354) + (-9714)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9936, \"b\": -8770, \"c\": -3354, \"d\": -9714}", "seed": "16452619714723757275", "semantic_fingerprint": "sha256:7269a929f8c9f3957a9b68378f5942e136c08f0a0a63780f7c4ca1e3c63e1785", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000964", "prompt": "Calculate: -9103 + 5593 + (-3383 + (-91531))", "solution_steps": ["Add: -9103 + 5593 = -3510", "Add: -3383 + (-91531) = -94914", "Add: -3510 + (-94914) = -98424"], "final_answer": "-98424", "answer_type": "integer", "kind": "expression", "math_text": "-9103 + 5593 + (-3383 + (-91531))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9103, \"b\": 5593, \"c\": -3383, \"d\": -91531}", "seed": "15378294727744838662", "semantic_fingerprint": "sha256:ccb3011113d7c5d4c372afc4e56a25fc5faa34b566ebd4d4c7c49988c5623dca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000965", "prompt": "What value of x satisfies x - 4828 = 35x?", "solution_steps": ["Subtract 35x from both sides: -34x - 4828 = 0", "Add 4828 to both sides: -34x = 4828", "Divide both sides by -34: x = -142"], "final_answer": "-142", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4828 = 35x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"c\": -4828, \"x\": -142}", "seed": "681856208128388595", "semantic_fingerprint": "sha256:299ac31c54407585ef996ed5538a88596dd1a5d9acd6d8ae57139491922fdc8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000966", "prompt": "Evaluate: 26447 + (5685 / (-17887 + 86953) + 18366)", "solution_steps": ["Add: -17887 + 86953 = 69066", "Divide: 5685 / 69066 = 1895/23022", "Add: 1895/23022 + 18366 = 422823947/23022", "Add: 26447 + 422823947/23022 = 1031686781/23022"], "final_answer": "1031686781/23022", "answer_type": "rational", "kind": "expression", "math_text": "26447 + (5685 / (-17887 + 86953) + 18366)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26447, \"b\": 5685, \"c\": -17887, \"d\": 86953, \"e\": 18366}", "seed": "6142813620559073518", "semantic_fingerprint": "sha256:d3887f8411558659e385a1144d531f32aa4063da0ba54cfa011484a1a557b6dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000967", "prompt": "Evaluate: (6798 + 35126) * (-55481)", "solution_steps": ["Add: 6798 + 35126 = 41924", "Multiply: 41924 * (-55481) = -2325985444"], "final_answer": "-2325985444", "answer_type": "integer", "kind": "expression", "math_text": "(6798 + 35126) * (-55481)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6798, \"b\": 35126, \"c\": -55481}", "seed": "1736104545628743023", "semantic_fingerprint": "sha256:3b9fa66bf408d2ac0403c7a337ab514ac01dd877f60d518f986ed39f4db0dfda", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000968", "prompt": "Solve for x: x = -40x + 1968", "solution_steps": ["Add 40x to both sides: 41x = 1968", "Divide both sides by 41: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -40x + 1968", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40, \"c\": 1968, \"x\": 48}", "seed": "2310728621726739461", "semantic_fingerprint": "sha256:dade2a31a639d7f39f1912111a3f9587c1254c3126211ab358e6de5af8aee8c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000969", "prompt": "Calculate: 5315 * 8417", "solution_steps": ["Multiply: 5315 * 8417 = 44736355"], "final_answer": "44736355", "answer_type": "integer", "kind": "expression", "math_text": "5315 * 8417", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5315, \"b\": 8417}", "seed": "8933743536191250927", "semantic_fingerprint": "sha256:55433eb2de61825cd65de262cbbc5d365c66194db4f0377c44d3e2f906bb8398", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000970", "prompt": "Evaluate: (-6602 - 7746) / (9841 - (-5371))", "solution_steps": ["Subtract: -6602 - 7746 = -14348", "Subtract: 9841 - (-5371) = 15212", "Divide: -14348 / 15212 = -3587/3803"], "final_answer": "-3587/3803", "answer_type": "rational", "kind": "expression", "math_text": "(-6602 - 7746) / (9841 - (-5371))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6602, \"b\": 7746, \"c\": 9841, \"d\": -5371}", "seed": "4600008068973450672", "semantic_fingerprint": "sha256:d1ea66c566aaace38673947fdc0eb45c9ebcdacbc448fb147c12c6bd8a217e58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000971", "prompt": "Solve for x: 14x = x + 3377", "solution_steps": ["Subtract x from both sides: 13x = 3377", "Divide both sides by 13: x = 3377/13"], "final_answer": "3377/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x = x + 3377", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 3377}", "seed": "11867869253439446369", "semantic_fingerprint": "sha256:ae4428b21668d078a79ed59af37cc47e22b14c3db07651e0f0e2865b06c491f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000972", "prompt": "Compute: 7613 * 24405 + (-5330)", "solution_steps": ["Multiply: 7613 * 24405 = 185795265", "Add: 185795265 + (-5330) = 185789935"], "final_answer": "185789935", "answer_type": "integer", "kind": "expression", "math_text": "7613 * 24405 + (-5330)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7613, \"b\": 24405, \"c\": -5330}", "seed": "10951083381259216727", "semantic_fingerprint": "sha256:3da12ff1826106434ccfb50dc6c902e58078580ea137a7850e3e830d153241c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000973", "prompt": "Solve the equation 33(x - 3994) + 2761 = -33x for x.", "solution_steps": ["Expand: 33x - 131802 + 2761 = -33x", "Combine constants: 33x - 129041 = -33x", "Add 33x to both sides: 66x - 129041 = 0", "Add 129041 to both sides: 66x = 129041", "Divide both sides by 66: x = 11731/6"], "final_answer": "11731/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 3994) + 2761 = -33x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 3994, \"c\": 2761, \"d\": -33}", "seed": "170751314175661488", "semantic_fingerprint": "sha256:16f0d6bd6dc2e95b3a83ebfe4e9198b86cc90b4bb54d67538c4dd21429081c0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000974", "prompt": "Find x: x = 28(x - 7309) + 1744", "solution_steps": ["Expand: x = 28x - 204652 + 1744", "Combine constants: x = 28x - 202908", "Subtract 28x from both sides: -27x = -202908", "Divide both sides by -27: x = 67636/9"], "final_answer": "67636/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x - 7309) + 1744", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 7309, \"c\": 1744}", "seed": "7141375145413771722", "semantic_fingerprint": "sha256:a9b6c8fac3561937ab2e3d06c38f23f8c6d403782f4b9554ba953d41db05f2a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000975", "prompt": "What value of x satisfies 21(x + 3271) - 6416 = -36(x - 24326) - 1647?", "solution_steps": ["Expand: 21x + 68691 - 6416 = -36(x - 24326) - 1647", "Expand: 21x + 68691 - 6416 = -36x + 875736 - 1647", "Combine constants: 21x + 62275 = -36x + 875736 - 1647", "Combine constants: 21x + 62275 = -36x + 874089", "Add 36x to both sides: 57x + 62275 = 874089", "Subtract 62275 from both sides: 57x = 811814", "Divide both sides by 57: x = 811814/57"], "final_answer": "811814/57", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 3271) - 6416 = -36(x - 24326) - 1647", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 3271, \"c\": 6416, \"d\": -36, \"e\": 24326, \"f\": 1647}", "seed": "16957431365110954772", "semantic_fingerprint": "sha256:5d8381ae3213196959eb5c88f3cb1c9eaea26e4e1026087bbe7d340e26f61605", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000976", "prompt": "Compute: -3751 * (-91711)", "solution_steps": ["Multiply: -3751 * (-91711) = 344007961"], "final_answer": "344007961", "answer_type": "integer", "kind": "expression", "math_text": "-3751 * (-91711)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3751, \"b\": -91711}", "seed": "3396751407435250538", "semantic_fingerprint": "sha256:3ccf4480c5e7c1a6d6b92fcb8ac549f519dc34db5441c941e937fb625a39969c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000977", "prompt": "Compute: -4474 + (-9554) + (-11132) - (-4491)", "solution_steps": ["Add: -4474 + (-9554) = -14028", "Add: -14028 + (-11132) = -25160", "Subtract: -25160 - (-4491) = -20669"], "final_answer": "-20669", "answer_type": "integer", "kind": "expression", "math_text": "-4474 + (-9554) + (-11132) - (-4491)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4474, \"b\": -9554, \"c\": -11132, \"d\": -4491}", "seed": "17109935084033752807", "semantic_fingerprint": "sha256:ce07f5fb71d6aa4dc844e0dc14da1268742a5c663b7f3f0903f15142fb71c201", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000978", "prompt": "Evaluate: 1251 / (-32130 - (-79945))", "solution_steps": ["Subtract: -32130 - (-79945) = 47815", "Divide: 1251 / 47815 = 1251/47815"], "final_answer": "1251/47815", "answer_type": "rational", "kind": "expression", "math_text": "1251 / (-32130 - (-79945))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1251, \"b\": -32130, \"c\": -79945}", "seed": "16561031698828569606", "semantic_fingerprint": "sha256:b22474f212210b06841d27bdb7897cfe6a8588dc078522a97759a10be6fd19ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000979", "prompt": "Evaluate: -4093 * 47749", "solution_steps": ["Multiply: -4093 * 47749 = -195436657"], "final_answer": "-195436657", "answer_type": "integer", "kind": "expression", "math_text": "-4093 * 47749", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4093, \"b\": 47749}", "seed": "4311226846191237566", "semantic_fingerprint": "sha256:08f274817edced1f8778961026c4e82eca2415a3581b242771272255a47d3167", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000980", "prompt": "What value of x satisfies -14(x - 2186) - 33418 = 28x?", "solution_steps": ["Expand: -14x + 30604 - 33418 = 28x", "Combine constants: -14x - 2814 = 28x", "Subtract 28x from both sides: -42x - 2814 = 0", "Add 2814 to both sides: -42x = 2814", "Divide both sides by -42: x = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14(x - 2186) - 33418 = 28x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 2186, \"c\": 28, \"e\": -33418, \"x\": -67}", "seed": "3746483507809131565", "semantic_fingerprint": "sha256:85839457bfac03da282dd406ba5a5daddebf3ebfaa386a7c4420bd49e6710617", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000981", "prompt": "Calculate: -1465 - 8796 * (-96351)", "solution_steps": ["Multiply: 8796 * (-96351) = -847503396", "Subtract: -1465 - (-847503396) = 847501931"], "final_answer": "847501931", "answer_type": "integer", "kind": "expression", "math_text": "-1465 - 8796 * (-96351)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1465, \"b\": 8796, \"c\": -96351}", "seed": "5450675622417544677", "semantic_fingerprint": "sha256:27c16d742630fe840c92bee9a7b27ef030c9a8ace5f40bf4873e4ff86f10eb27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000982", "prompt": "Calculate: -95883 / (-30901)", "solution_steps": ["Divide: -95883 / (-30901) = 95883/30901"], "final_answer": "95883/30901", "answer_type": "rational", "kind": "expression", "math_text": "-95883 / (-30901)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95883, \"b\": -30901}", "seed": "3668665297979747954", "semantic_fingerprint": "sha256:cef7b8c5004af7490592638ce479ee445d98e18af0fbe0b903b93d1233ff2531", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000983", "prompt": "Solve for x: x = -37x - 4028", "solution_steps": ["Add 37x to both sides: 38x = -4028", "Divide both sides by 38: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -37x - 4028", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37, \"c\": -4028, \"x\": -106}", "seed": "5662818589672545736", "semantic_fingerprint": "sha256:32077db75ab003428019733b62fa255137edce37a06c63832e99b321c92f2d71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000984", "prompt": "Evaluate: 9982 / (-9492 - 4253) * (-7960)", "solution_steps": ["Subtract: -9492 - 4253 = -13745", "Divide: 9982 / (-13745) = -9982/13745", "Multiply: (-9982/13745) * (-7960) = 15891344/2749"], "final_answer": "15891344/2749", "answer_type": "rational", "kind": "expression", "math_text": "9982 / (-9492 - 4253) * (-7960)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9982, \"b\": -9492, \"c\": 4253, \"d\": -7960}", "seed": "2319829911416983106", "semantic_fingerprint": "sha256:63c0119bd70e8a16b06cd072950c5e40311251b9556ecf2785a39d2a1cbbffbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000985", "prompt": "Evaluate: -41987 - (4127 - 2773)", "solution_steps": ["Subtract: 4127 - 2773 = 1354", "Subtract: -41987 - 1354 = -43341"], "final_answer": "-43341", "answer_type": "integer", "kind": "expression", "math_text": "-41987 - (4127 - 2773)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41987, \"b\": 4127, \"c\": 2773}", "seed": "15920237797941709680", "semantic_fingerprint": "sha256:9e62b509fce7d394e7f257f96b9839809671cd6525de9ee2c7a02d598727c90e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000986", "prompt": "What value of x satisfies x = 27(x + 78048)?", "solution_steps": ["Expand: x = 27x + 2107296", "Subtract 27x from both sides: -26x = 2107296", "Divide both sides by -26: x = -1053648/13"], "final_answer": "-1053648/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27(x + 78048)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 78048}", "seed": "4857333843142025659", "semantic_fingerprint": "sha256:27a61a34833f33d6440aba7fbf789b78e775a28fc4c470c8054513cc2ff43f48", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000987", "prompt": "Compute: 6037 * (-10377 + (-26449))", "solution_steps": ["Add: -10377 + (-26449) = -36826", "Multiply: 6037 * (-36826) = -222318562"], "final_answer": "-222318562", "answer_type": "integer", "kind": "expression", "math_text": "6037 * (-10377 + (-26449))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6037, \"b\": -10377, \"c\": -26449}", "seed": "14164334411687673870", "semantic_fingerprint": "sha256:d365862e6330e55f46ebc654c409f91ddf1ad5d65f939019683834297f1a3798", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000988", "prompt": "Calculate: -1982 * (7744 + (-89242))", "solution_steps": ["Add: 7744 + (-89242) = -81498", "Multiply: -1982 * (-81498) = 161529036"], "final_answer": "161529036", "answer_type": "integer", "kind": "expression", "math_text": "-1982 * (7744 + (-89242))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1982, \"b\": 7744, \"c\": -89242}", "seed": "15199442127460998476", "semantic_fingerprint": "sha256:7633fa38e04bde3027c1839f619953ddc2f5dcb63326a2a3a804d43bd037f5d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000989", "prompt": "Evaluate: 6068 - 6733 * (-2428)", "solution_steps": ["Multiply: 6733 * (-2428) = -16347724", "Subtract: 6068 - (-16347724) = 16353792"], "final_answer": "16353792", "answer_type": "integer", "kind": "expression", "math_text": "6068 - 6733 * (-2428)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6068, \"b\": 6733, \"c\": -2428}", "seed": "7224806827682440487", "semantic_fingerprint": "sha256:be1af9884762a4c24c36a5296211d152363007b5f34372f9624a427ce0ef7a72", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000990", "prompt": "Find x: 27(x + 93259) = 28(x - 41364)", "solution_steps": ["Expand: 27x + 2517993 = 28(x - 41364)", "Expand: 27x + 2517993 = 28x - 1158192", "Subtract 28x from both sides: -x + 2517993 = -1158192", "Subtract 2517993 from both sides: -x = -3676185", "Divide both sides by -1: x = 3676185"], "final_answer": "3676185", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x + 93259) = 28(x - 41364)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 93259, \"c\": 28, \"d\": 41364}", "seed": "1761791769390285062", "semantic_fingerprint": "sha256:171ca39fc7c579986d05f3ab0cd67aa0ce22219ab5056218afd7ad7e5c802c91", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000991", "prompt": "Find x: -18x = 9566", "solution_steps": ["Divide both sides by -18: x = -4783/9"], "final_answer": "-4783/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x = 9566", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 9566}", "seed": "16486811297128755327", "semantic_fingerprint": "sha256:97b9ddc5a208c2fe6853e1b73083e70b43bdd7863eca7af73214b0470da06454", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000992", "prompt": "What is -2770 * (-16500)?", "solution_steps": ["Multiply: -2770 * (-16500) = 45705000"], "final_answer": "45705000", "answer_type": "integer", "kind": "expression", "math_text": "-2770 * (-16500)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2770, \"b\": -16500}", "seed": "17541973874041939993", "semantic_fingerprint": "sha256:22055d22573c00ac594e6da77fdcde91bc74e68330b06719f5692e689e2afae4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000993", "prompt": "Calculate: 8732 / 71875", "solution_steps": ["Divide: 8732 / 71875 = 8732/71875"], "final_answer": "8732/71875", "answer_type": "rational", "kind": "expression", "math_text": "8732 / 71875", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8732, \"b\": 71875}", "seed": "18274056842356047361", "semantic_fingerprint": "sha256:0cfc19e648212d9a47778f855c0382cd9baf5755e1ba14eed7a5a17c979d505b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000994", "prompt": "Calculate: 5354 - 6684 + (-9479)", "solution_steps": ["Subtract: 5354 - 6684 = -1330", "Add: -1330 + (-9479) = -10809"], "final_answer": "-10809", "answer_type": "integer", "kind": "expression", "math_text": "5354 - 6684 + (-9479)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5354, \"b\": 6684, \"c\": -9479}", "seed": "8684731603796885968", "semantic_fingerprint": "sha256:ea99b67ac543e453e38ae52e5d1b2b818599b0e04e1c333a5f6ddbce42fffb91", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000995", "prompt": "What value of x satisfies 40x + 69442 = x + 71821?", "solution_steps": ["Subtract x from both sides: 39x + 69442 = 71821", "Subtract 69442 from both sides: 39x = 2379", "Divide both sides by 39: x = 61"], "final_answer": "61", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 69442 = x + 71821", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 69442, \"d\": 71821, \"x\": 61}", "seed": "13877474585992926513", "semantic_fingerprint": "sha256:fc946f55be5a4de2210ce28590d0dfc930bbf3864850a1d15459016b8f563007", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000996", "prompt": "Evaluate: -8042 * (1866 * 6225 + (-46658))", "solution_steps": ["Multiply: 1866 * 6225 = 11615850", "Add: 11615850 + (-46658) = 11569192", "Multiply: -8042 * 11569192 = -93039442064"], "final_answer": "-93039442064", "answer_type": "integer", "kind": "expression", "math_text": "-8042 * (1866 * 6225 + (-46658))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8042, \"b\": 1866, \"c\": 6225, \"d\": -46658}", "seed": "16912631135221272938", "semantic_fingerprint": "sha256:a972e8c006b41f4af12d132f687c73d4fad21355c9021d6105fba7b63734b117", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000997", "prompt": "Find x: 30(x + 3098) - 22537 = 15x - 76497", "solution_steps": ["Expand: 30x + 92940 - 22537 = 15x - 76497", "Combine constants: 30x + 70403 = 15x - 76497", "Subtract 15x from both sides: 15x + 70403 = -76497", "Subtract 70403 from both sides: 15x = -146900", "Divide both sides by 15: x = -29380/3"], "final_answer": "-29380/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 3098) - 22537 = 15x - 76497", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 3098, \"c\": 22537, \"d\": 15, \"e\": 76497}", "seed": "14194958532952489613", "semantic_fingerprint": "sha256:169b06865d7b370fd1c32fc84f00d21d6fbb103fbdd0c5f2351071d246180c74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000998", "prompt": "Find x: 17(x + 85507) - 9280 = -30729", "solution_steps": ["Expand: 17x + 1453619 - 9280 = -30729", "Combine constants: 17x + 1444339 = -30729", "Subtract 1444339 from both sides: 17x = -1475068", "Divide both sides by 17: x = -1475068/17"], "final_answer": "-1475068/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 85507) - 9280 = -30729", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 85507, \"c\": 9280, \"d\": -30729}", "seed": "17791272949902856611", "semantic_fingerprint": "sha256:b829e4af0d76449767cf1744c8c20a5b6705d56b296cfd021fb181e042eaef5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00000999", "prompt": "Evaluate: -2534 + 4604", "solution_steps": ["Add: -2534 + 4604 = 2070"], "final_answer": "2070", "answer_type": "integer", "kind": "expression", "math_text": "-2534 + 4604", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2534, \"b\": 4604}", "seed": "8009477963241164906", "semantic_fingerprint": "sha256:af7c77aa7c345fd2549eda2f66256540f7e1af22e5cf6e9736a681fa763b14f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001000", "prompt": "Compute: -67818 * (-4094 - (-6894)) - 1265 + (-94762) * (-7393)", "solution_steps": ["Subtract: -4094 - (-6894) = 2800", "Multiply: -67818 * 2800 = -189890400", "Subtract: -189890400 - 1265 = -189891665", "Multiply: -94762 * (-7393) = 700575466", "Add: -189891665 + 700575466 = 510683801"], "final_answer": "510683801", "answer_type": "integer", "kind": "expression", "math_text": "-67818 * (-4094 - (-6894)) - 1265 + (-94762) * (-7393)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (- n n)) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -67818, \"b\": -4094, \"c\": -6894, \"d\": 1265, \"e\": -94762, \"f\": -7393}", "seed": "11766259123086383589", "semantic_fingerprint": "sha256:6477b633c0dbff752ae93a37290b9b4d0b30ad4c0b8121af89aa0571c3d91e23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001001", "prompt": "Solve for x: x - 5023 = -5177", "solution_steps": ["Add 5023 to both sides: x = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5023 = -5177", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5023, \"c\": -5177, \"x\": -154}", "seed": "7002320021673139737", "semantic_fingerprint": "sha256:04abd16512c64e5d43ff9486d97558d039af4b0395b055e09c8df1ff301fe35c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001002", "prompt": "Calculate: (-7408 - 12010 - (-4686)) / 3392", "solution_steps": ["Subtract: -7408 - 12010 = -19418", "Subtract: -19418 - (-4686) = -14732", "Divide: -14732 / 3392 = -3683/848"], "final_answer": "-3683/848", "answer_type": "rational", "kind": "expression", "math_text": "(-7408 - 12010 - (-4686)) / 3392", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7408, \"b\": 12010, \"c\": -4686, \"d\": 3392}", "seed": "7885937666280545536", "semantic_fingerprint": "sha256:8622c10d4390f0c402d60f69c9e91db545d81f802e7230a51993841074151202", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001003", "prompt": "Calculate: 4274 * (-18597 + (-96015)) - (53389 + (-8842) - 7302)", "solution_steps": ["Add: -18597 + (-96015) = -114612", "Multiply: 4274 * (-114612) = -489851688", "Add: 53389 + (-8842) = 44547", "Subtract: 44547 - 7302 = 37245", "Subtract: -489851688 - 37245 = -489888933"], "final_answer": "-489888933", "answer_type": "integer", "kind": "expression", "math_text": "4274 * (-18597 + (-96015)) - (53389 + (-8842) - 7302)", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4274, \"b\": -18597, \"c\": -96015, \"d\": 53389, \"e\": -8842, \"f\": 7302}", "seed": "2374735985699010938", "semantic_fingerprint": "sha256:887ad3378699174a7df97815559f93f12ad1ec25ab42db24f65700d574dcbc65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001004", "prompt": "Evaluate: 4289 / (27037 + 2791)", "solution_steps": ["Add: 27037 + 2791 = 29828", "Divide: 4289 / 29828 = 4289/29828"], "final_answer": "4289/29828", "answer_type": "rational", "kind": "expression", "math_text": "4289 / (27037 + 2791)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4289, \"b\": 27037, \"c\": 2791}", "seed": "18171991071248159058", "semantic_fingerprint": "sha256:f08daed9bc96661b79b3d7aa4840e7a95073380559ab145881d167ff96ea1b07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001005", "prompt": "Calculate: -9910 - 70855 / 12778", "solution_steps": ["Divide: 70855 / 12778 = 70855/12778", "Subtract: -9910 - 70855/12778 = -126700835/12778"], "final_answer": "-126700835/12778", "answer_type": "rational", "kind": "expression", "math_text": "-9910 - 70855 / 12778", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9910, \"b\": 70855, \"c\": 12778}", "seed": "9356534811754616242", "semantic_fingerprint": "sha256:7905760ab63147cfacd71af599b583dbfee717e467c84428506095f2bf72c7cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001006", "prompt": "Find x: -23(x - 7618) = 15(x + 9523) + 25073", "solution_steps": ["Expand: -23x + 175214 = 15(x + 9523) + 25073", "Expand: -23x + 175214 = 15x + 142845 + 25073", "Combine constants: -23x + 175214 = 15x + 167918", "Subtract 15x from both sides: -38x + 175214 = 167918", "Subtract 175214 from both sides: -38x = -7296", "Divide both sides by -38: x = 192"], "final_answer": "192", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23(x - 7618) = 15(x + 9523) + 25073", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 7618, \"c\": 15, \"d\": 9523, \"f\": 25073, \"x\": 192}", "seed": "13277129673115273028", "semantic_fingerprint": "sha256:2d0756b8d5e2e2b57eb32e8c275378da65c275a07d5e21c48ceb16b82b471866", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001007", "prompt": "Evaluate: 2384 / (95872 / (-6626))", "solution_steps": ["Divide: 95872 / (-6626) = -47936/3313", "Divide: 2384 / (-47936/3313) = -493637/2996"], "final_answer": "-493637/2996", "answer_type": "rational", "kind": "expression", "math_text": "2384 / (95872 / (-6626))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2384, \"b\": 95872, \"c\": -6626}", "seed": "10412057651049080817", "semantic_fingerprint": "sha256:925b214bc22f1e0fde106a88cbf1933205aaf3388541294f9359a1e6e9da8764", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001008", "prompt": "Compute: (7414 - (-5408) - 24478) * (3641 - (-7262)) * (-2652)", "solution_steps": ["Subtract: 7414 - (-5408) = 12822", "Subtract: 12822 - 24478 = -11656", "Subtract: 3641 - (-7262) = 10903", "Multiply: -11656 * 10903 = -127085368", "Multiply: -127085368 * (-2652) = 337030395936"], "final_answer": "337030395936", "answer_type": "integer", "kind": "expression", "math_text": "(7414 - (-5408) - 24478) * (3641 - (-7262)) * (-2652)", "variable": null, "family": "expression_5op", "shape": "(* (* (- (- n n) n) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7414, \"b\": -5408, \"c\": 24478, \"d\": 3641, \"e\": -7262, \"f\": -2652}", "seed": "12968628811583187782", "semantic_fingerprint": "sha256:404b90c0df0cb8ef079e95a540171daf1d29643cb9aa149e26b5e24e9986e04a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001009", "prompt": "Solve for x: x - 4926 = 16x - 6801", "solution_steps": ["Subtract 16x from both sides: -15x - 4926 = -6801", "Add 4926 to both sides: -15x = -1875", "Divide both sides by -15: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4926 = 16x - 6801", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4926, \"b\": 16, \"d\": -6801, \"x\": 125}", "seed": "17205854552914874711", "semantic_fingerprint": "sha256:83eb3a34499f896a1a40ccf052ad70b6675b8758e93a9255ff1379e299737a66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001010", "prompt": "What is -2933 - 77713?", "solution_steps": ["Subtract: -2933 - 77713 = -80646"], "final_answer": "-80646", "answer_type": "integer", "kind": "expression", "math_text": "-2933 - 77713", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2933, \"b\": 77713}", "seed": "10798821446150691829", "semantic_fingerprint": "sha256:7760f833d605539c0210bc6060533f351ec4522e7237c10c95eb9e0f9066b7cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001011", "prompt": "What value of x satisfies 35x - 7267 = 17(x + 5321) - 97004?", "solution_steps": ["Expand: 35x - 7267 = 17x + 90457 - 97004", "Combine constants: 35x - 7267 = 17x - 6547", "Subtract 17x from both sides: 18x - 7267 = -6547", "Add 7267 to both sides: 18x = 720", "Divide both sides by 18: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x - 7267 = 17(x + 5321) - 97004", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7267, \"c\": 17, \"d\": 5321, \"f\": -97004, \"x\": 40}", "seed": "5245427612849558368", "semantic_fingerprint": "sha256:0beff3ca8dcc300a0bd8bfcd198628d31e0a3f4b8deef4ebc9492c051423e72c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001012", "prompt": "What is 3052 - (8541 + 3023)?", "solution_steps": ["Add: 8541 + 3023 = 11564", "Subtract: 3052 - 11564 = -8512"], "final_answer": "-8512", "answer_type": "integer", "kind": "expression", "math_text": "3052 - (8541 + 3023)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3052, \"b\": 8541, \"c\": 3023}", "seed": "5147109370279131746", "semantic_fingerprint": "sha256:410b70d450f9897b376f14bc1ce7aa67be419ce283c5996e7f39d990d9da19f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001013", "prompt": "Calculate: 8533 + (-5918) + (-9995)", "solution_steps": ["Add: 8533 + (-5918) = 2615", "Add: 2615 + (-9995) = -7380"], "final_answer": "-7380", "answer_type": "integer", "kind": "expression", "math_text": "8533 + (-5918) + (-9995)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8533, \"b\": -5918, \"c\": -9995}", "seed": "5730142868034391243", "semantic_fingerprint": "sha256:304486ae488903772439c6b58a40f2027f969f9ad19889f87e2aa1dc487c682f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001014", "prompt": "Find x: 27x - 1591 = x - 2861", "solution_steps": ["Subtract x from both sides: 26x - 1591 = -2861", "Add 1591 to both sides: 26x = -1270", "Divide both sides by 26: x = -635/13"], "final_answer": "-635/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x - 1591 = x - 2861", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 1591, \"c\": 2861}", "seed": "365280539899778885", "semantic_fingerprint": "sha256:dd53a06c227879bf8f7b97049daa6dade7a66ae45ef86a1d2daf295537ea57b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001015", "prompt": "Solve for x: 13(x - 98741) + 2443 = x + 77719", "solution_steps": ["Expand: 13x - 1283633 + 2443 = x + 77719", "Combine constants: 13x - 1281190 = x + 77719", "Subtract x from both sides: 12x - 1281190 = 77719", "Add 1281190 to both sides: 12x = 1358909", "Divide both sides by 12: x = 1358909/12"], "final_answer": "1358909/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 98741) + 2443 = x + 77719", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 98741, \"c\": 2443, \"d\": 77719}", "seed": "18255213252868407159", "semantic_fingerprint": "sha256:2d9cfbb1dc3f6258112684ddd31925ab716b7de82e5101ec8890bce8a22bc6d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001016", "prompt": "Compute: 9496 + 4326 * (2480 * (-9236))", "solution_steps": ["Multiply: 2480 * (-9236) = -22905280", "Multiply: 4326 * (-22905280) = -99088241280", "Add: 9496 + (-99088241280) = -99088231784"], "final_answer": "-99088231784", "answer_type": "integer", "kind": "expression", "math_text": "9496 + 4326 * (2480 * (-9236))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9496, \"b\": 4326, \"c\": 2480, \"d\": -9236}", "seed": "16181367444756297239", "semantic_fingerprint": "sha256:ba7133fd725bd86cae828aded887bd1cdc10b0e17238777da4e335e9760d2fe4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001017", "prompt": "What value of x satisfies -37x - 9484 = 34(x + 1677) - 58337?", "solution_steps": ["Expand: -37x - 9484 = 34x + 57018 - 58337", "Combine constants: -37x - 9484 = 34x - 1319", "Subtract 34x from both sides: -71x - 9484 = -1319", "Add 9484 to both sides: -71x = 8165", "Divide both sides by -71: x = -115"], "final_answer": "-115", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x - 9484 = 34(x + 1677) - 58337", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 9484, \"c\": 34, \"d\": 1677, \"f\": -58337, \"x\": -115}", "seed": "6764942274020709126", "semantic_fingerprint": "sha256:2bcdad56d150f551fbe770fc2f81179589ac7710d2ab4f7859716be8ed05fa9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001018", "prompt": "Evaluate: 7420 / (-6963)", "solution_steps": ["Divide: 7420 / (-6963) = -7420/6963"], "final_answer": "-7420/6963", "answer_type": "rational", "kind": "expression", "math_text": "7420 / (-6963)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7420, \"b\": -6963}", "seed": "1818011840453533203", "semantic_fingerprint": "sha256:79270dafdd9ff8fab5433085569ae18d21eb8594ed30aa0d688b04ecc6fa034a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001019", "prompt": "What is -5219 / 4595?", "solution_steps": ["Divide: -5219 / 4595 = -5219/4595"], "final_answer": "-5219/4595", "answer_type": "rational", "kind": "expression", "math_text": "-5219 / 4595", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5219, \"b\": 4595}", "seed": "2156705072251407290", "semantic_fingerprint": "sha256:908289829d66cae50ae684f94d999db72fb4298b67d9797d43e759b03452707d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001020", "prompt": "What is -81871 + (-14945) * 50145 + 3400?", "solution_steps": ["Multiply: -14945 * 50145 = -749417025", "Add: -81871 + (-749417025) = -749498896", "Add: -749498896 + 3400 = -749495496"], "final_answer": "-749495496", "answer_type": "integer", "kind": "expression", "math_text": "-81871 + (-14945) * 50145 + 3400", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -81871, \"b\": -14945, \"c\": 50145, \"d\": 3400}", "seed": "380775830027765840", "semantic_fingerprint": "sha256:086ab4e361e53f45bb456729ffeb2035ee732569f6b865379b1954f363f16ded", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001021", "prompt": "Compute: -5477 / (2982 / 72800)", "solution_steps": ["Divide: 2982 / 72800 = 213/5200", "Divide: -5477 / (213/5200) = -28480400/213"], "final_answer": "-28480400/213", "answer_type": "rational", "kind": "expression", "math_text": "-5477 / (2982 / 72800)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5477, \"b\": 2982, \"c\": 72800}", "seed": "12005875970826829781", "semantic_fingerprint": "sha256:c40bb38787deafd72bb261e3da53233bc68d6603405db39382a5713c27352d28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001022", "prompt": "Evaluate: -1642 + 2359 - 48026 / (-3203)", "solution_steps": ["Add: -1642 + 2359 = 717", "Divide: 48026 / (-3203) = -48026/3203", "Subtract: 717 - (-48026/3203) = 2344577/3203"], "final_answer": "2344577/3203", "answer_type": "rational", "kind": "expression", "math_text": "-1642 + 2359 - 48026 / (-3203)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1642, \"b\": 2359, \"c\": 48026, \"d\": -3203}", "seed": "2317409711834195177", "semantic_fingerprint": "sha256:c6da8b0496723938577391826192f059f313f235ce10ce15fa8bc1713f6e6d7c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001023", "prompt": "Find x: 19(x + 3177) = -32x", "solution_steps": ["Expand: 19x + 60363 = -32x", "Add 32x to both sides: 51x + 60363 = 0", "Subtract 60363 from both sides: 51x = -60363", "Divide both sides by 51: x = -20121/17"], "final_answer": "-20121/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 3177) = -32x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3177, \"c\": -32}", "seed": "8158102274623949104", "semantic_fingerprint": "sha256:50980ed14064068a1a69b16f0aecfb8b4561d30e7583800b0d52f41ea034e1e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001024", "prompt": "Calculate: 5688 * (-6161 + ((-6058 + (-5916)) / 5384 - 6752))", "solution_steps": ["Add: -6058 + (-5916) = -11974", "Divide: -11974 / 5384 = -5987/2692", "Subtract: -5987/2692 - 6752 = -18182371/2692", "Add: -6161 + (-18182371/2692) = -34767783/2692", "Multiply: 5688 * (-34767783/2692) = -49439787426/673"], "final_answer": "-49439787426/673", "answer_type": "rational", "kind": "expression", "math_text": "5688 * (-6161 + ((-6058 + (-5916)) / 5384 - 6752))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (- (/ (+ n n) n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5688, \"b\": -6161, \"c\": -6058, \"d\": -5916, \"e\": 5384, \"f\": 6752}", "seed": "4978407742604685064", "semantic_fingerprint": "sha256:343a46b52b34d8383e7dd3fbc877edb4c7d7d9322531b1c5bcc8a25fe0aa4c74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001025", "prompt": "Calculate: -40851 - ((-58314 - (-8818)) * (-32270) - 9584)", "solution_steps": ["Subtract: -58314 - (-8818) = -49496", "Multiply: -49496 * (-32270) = 1597235920", "Subtract: 1597235920 - 9584 = 1597226336", "Subtract: -40851 - 1597226336 = -1597267187"], "final_answer": "-1597267187", "answer_type": "integer", "kind": "expression", "math_text": "-40851 - ((-58314 - (-8818)) * (-32270) - 9584)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40851, \"b\": -58314, \"c\": -8818, \"d\": -32270, \"e\": 9584}", "seed": "16186979638737958392", "semantic_fingerprint": "sha256:29d74977ef903c724c3f797768eab61f9bb8a2892986681d3571a3583c85d4fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001026", "prompt": "What value of x satisfies 20(x + 7675) + 8534 = -13(x - 73714)?", "solution_steps": ["Expand: 20x + 153500 + 8534 = -13(x - 73714)", "Expand: 20x + 153500 + 8534 = -13x + 958282", "Combine constants: 20x + 162034 = -13x + 958282", "Add 13x to both sides: 33x + 162034 = 958282", "Subtract 162034 from both sides: 33x = 796248", "Divide both sides by 33: x = 265416/11"], "final_answer": "265416/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 7675) + 8534 = -13(x - 73714)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 7675, \"c\": 8534, \"d\": -13, \"e\": 73714}", "seed": "5155741015681357411", "semantic_fingerprint": "sha256:6687f3ea35608dcf51eae0644929770840187cc356c44c2baeb99184fb997466", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001027", "prompt": "Evaluate: (4847 + 63868) / (-86050)", "solution_steps": ["Add: 4847 + 63868 = 68715", "Divide: 68715 / (-86050) = -13743/17210"], "final_answer": "-13743/17210", "answer_type": "rational", "kind": "expression", "math_text": "(4847 + 63868) / (-86050)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4847, \"b\": 63868, \"c\": -86050}", "seed": "1300733786998498635", "semantic_fingerprint": "sha256:66aa35667e1362f07e34d1f901772ecca3bc56617e6b82aabd4503455589f579", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001028", "prompt": "Compute: -6179 + 6487", "solution_steps": ["Add: -6179 + 6487 = 308"], "final_answer": "308", "answer_type": "integer", "kind": "expression", "math_text": "-6179 + 6487", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6179, \"b\": 6487}", "seed": "13004785444512624113", "semantic_fingerprint": "sha256:cf316cf7aaeb46b45e9932da85b8d26737eb294fb24e4216fed34c8e04412e5b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001029", "prompt": "Find x: 37(x - 36503) - 8621 = 34(x - 5063) + 98387", "solution_steps": ["Expand: 37x - 1350611 - 8621 = 34(x - 5063) + 98387", "Expand: 37x - 1350611 - 8621 = 34x - 172142 + 98387", "Combine constants: 37x - 1359232 = 34x - 172142 + 98387", "Combine constants: 37x - 1359232 = 34x - 73755", "Subtract 34x from both sides: 3x - 1359232 = -73755", "Add 1359232 to both sides: 3x = 1285477", "Divide both sides by 3: x = 1285477/3"], "final_answer": "1285477/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 36503) - 8621 = 34(x - 5063) + 98387", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 36503, \"c\": 8621, \"d\": 34, \"e\": 5063, \"f\": 98387}", "seed": "7111029308128687255", "semantic_fingerprint": "sha256:afe1889720b75c6cc33e3bcda2ecb1a21c1634983b222b3bc4c37e37fa2f9d15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001030", "prompt": "What is 6949 / 88872 * 1424?", "solution_steps": ["Divide: 6949 / 88872 = 6949/88872", "Multiply: (6949/88872) * 1424 = 1236922/11109"], "final_answer": "1236922/11109", "answer_type": "rational", "kind": "expression", "math_text": "6949 / 88872 * 1424", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6949, \"b\": 88872, \"c\": 1424}", "seed": "632194001722980835", "semantic_fingerprint": "sha256:839edb1f3b805697b65960222d0c01793a428aecda85813ec81818d2d4fa5730", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001031", "prompt": "Solve the equation 28(x - 91286) - 59296 = -17(x + 9950) + 25943 for x.", "solution_steps": ["Expand: 28x - 2556008 - 59296 = -17(x + 9950) + 25943", "Expand: 28x - 2556008 - 59296 = -17x - 169150 + 25943", "Combine constants: 28x - 2615304 = -17x - 169150 + 25943", "Combine constants: 28x - 2615304 = -17x - 143207", "Add 17x to both sides: 45x - 2615304 = -143207", "Add 2615304 to both sides: 45x = 2472097", "Divide both sides by 45: x = 2472097/45"], "final_answer": "2472097/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 91286) - 59296 = -17(x + 9950) + 25943", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 91286, \"c\": 59296, \"d\": -17, \"e\": 9950, \"f\": 25943}", "seed": "12913684074462325594", "semantic_fingerprint": "sha256:067620a37df483334f15aed93dd17de092625593c448b05c876c1aba5b4406f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001032", "prompt": "Compute: 46138 * 2180 - (3695 + (-4070))", "solution_steps": ["Multiply: 46138 * 2180 = 100580840", "Add: 3695 + (-4070) = -375", "Subtract: 100580840 - (-375) = 100581215"], "final_answer": "100581215", "answer_type": "integer", "kind": "expression", "math_text": "46138 * 2180 - (3695 + (-4070))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 46138, \"b\": 2180, \"c\": 3695, \"d\": -4070}", "seed": "10249282416773607567", "semantic_fingerprint": "sha256:ea2c6b9f896acaf0ddfb12c6201570580cae10916a26c662a8321319a892555a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001033", "prompt": "What value of x satisfies 13x + 5558 = x?", "solution_steps": ["Subtract x from both sides: 12x + 5558 = 0", "Subtract 5558 from both sides: 12x = -5558", "Divide both sides by 12: x = -2779/6"], "final_answer": "-2779/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x + 5558 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 5558}", "seed": "13539572804208040344", "semantic_fingerprint": "sha256:6d010acf54c91620605e84feb5a3741f836c4a464b4b179d3c33715d828bb0fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001034", "prompt": "Calculate: -8690 + (-9619)", "solution_steps": ["Add: -8690 + (-9619) = -18309"], "final_answer": "-18309", "answer_type": "integer", "kind": "expression", "math_text": "-8690 + (-9619)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8690, \"b\": -9619}", "seed": "17720333462807102813", "semantic_fingerprint": "sha256:d110eab06c3086b1920bbf20be781a400b7f941ce1c83e6aca5360b944434e82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001035", "prompt": "What is (-3719 + (-3078) + 18186) / (48897 + (-30844) + 5540)?", "solution_steps": ["Add: -3719 + (-3078) = -6797", "Add: -6797 + 18186 = 11389", "Add: 48897 + (-30844) = 18053", "Add: 18053 + 5540 = 23593", "Divide: 11389 / 23593 = 11389/23593"], "final_answer": "11389/23593", "answer_type": "rational", "kind": "expression", "math_text": "(-3719 + (-3078) + 18186) / (48897 + (-30844) + 5540)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3719, \"b\": -3078, \"c\": 18186, \"d\": 48897, \"e\": -30844, \"f\": 5540}", "seed": "8580779791284563505", "semantic_fingerprint": "sha256:59fc545b952f0816fc4f7038e371736a9bfa1906650d71a67854ff09bc8be39c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001036", "prompt": "Solve the equation 36(x + 17210) = x for x.", "solution_steps": ["Expand: 36x + 619560 = x", "Subtract x from both sides: 35x + 619560 = 0", "Subtract 619560 from both sides: 35x = -619560", "Divide both sides by 35: x = -123912/7"], "final_answer": "-123912/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 17210) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 17210}", "seed": "7545249134346122159", "semantic_fingerprint": "sha256:64db5c82d2d52463cc8a4c646e225fd3612454804fd7f8fea1904c58931d7d6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001037", "prompt": "What value of x satisfies 19(x + 42228) = x + 6011?", "solution_steps": ["Expand: 19x + 802332 = x + 6011", "Subtract x from both sides: 18x + 802332 = 6011", "Subtract 802332 from both sides: 18x = -796321", "Divide both sides by 18: x = -796321/18"], "final_answer": "-796321/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 42228) = x + 6011", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 42228, \"c\": 6011}", "seed": "2667378677383234612", "semantic_fingerprint": "sha256:4711c6ef54a8241ce5f5a4600781de4ee4841d8458f19538165a5c337f373d66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001038", "prompt": "Compute: 3205 * (-44684 / (1607 - 5930))", "solution_steps": ["Subtract: 1607 - 5930 = -4323", "Divide: -44684 / (-4323) = 44684/4323", "Multiply: 3205 * (44684/4323) = 143212220/4323"], "final_answer": "143212220/4323", "answer_type": "rational", "kind": "expression", "math_text": "3205 * (-44684 / (1607 - 5930))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3205, \"b\": -44684, \"c\": 1607, \"d\": 5930}", "seed": "6771589713647977170", "semantic_fingerprint": "sha256:69b7dbf0f86fbf60a97725e96fb7008e3cea359069d784a1157cfdab2d8ac758", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001039", "prompt": "Find x: 37x = x - 9086", "solution_steps": ["Subtract x from both sides: 36x = -9086", "Divide both sides by 36: x = -4543/18"], "final_answer": "-4543/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x = x - 9086", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 9086}", "seed": "11495992066809900230", "semantic_fingerprint": "sha256:b343133012d4256440ce3171782ac2033f6b542b19a70196a40133f21bd02777", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001040", "prompt": "What value of x satisfies 37x - 6959 = 28(x + 2298) - 70115?", "solution_steps": ["Expand: 37x - 6959 = 28x + 64344 - 70115", "Combine constants: 37x - 6959 = 28x - 5771", "Subtract 28x from both sides: 9x - 6959 = -5771", "Add 6959 to both sides: 9x = 1188", "Divide both sides by 9: x = 132"], "final_answer": "132", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x - 6959 = 28(x + 2298) - 70115", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 6959, \"c\": 28, \"d\": 2298, \"f\": -70115, \"x\": 132}", "seed": "13824429473957306458", "semantic_fingerprint": "sha256:14bd33036b44e97c927adb8f2b85b6718cba0d15f476460646cdea6f25b8c638", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001041", "prompt": "Solve the equation -26x + 33841 = -36x + 32471 for x.", "solution_steps": ["Add 36x to both sides: 10x + 33841 = 32471", "Subtract 33841 from both sides: 10x = -1370", "Divide both sides by 10: x = -137"], "final_answer": "-137", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x + 33841 = -36x + 32471", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 33841, \"c\": -36, \"e\": 32471, \"x\": -137}", "seed": "14871894597127483498", "semantic_fingerprint": "sha256:2e2615054d3f46a38af96ac425d9bbcccb42f787badd9b7db5e3410b777eaf2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001042", "prompt": "Calculate: -38675 * 17669 - 5660 * 67923 + 8806", "solution_steps": ["Multiply: -38675 * 17669 = -683348575", "Multiply: 5660 * 67923 = 384444180", "Subtract: -683348575 - 384444180 = -1067792755", "Add: -1067792755 + 8806 = -1067783949"], "final_answer": "-1067783949", "answer_type": "integer", "kind": "expression", "math_text": "-38675 * 17669 - 5660 * 67923 + 8806", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38675, \"b\": 17669, \"c\": 5660, \"d\": 67923, \"e\": 8806}", "seed": "13384363328944331618", "semantic_fingerprint": "sha256:d5dd0c0cb58f2e69487e3b8099a4e16809dde8606462d0230974cc2d687e68ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001043", "prompt": "Calculate: -17006 * (2352 * 6238 + 3006)", "solution_steps": ["Multiply: 2352 * 6238 = 14671776", "Add: 14671776 + 3006 = 14674782", "Multiply: -17006 * 14674782 = -249559342692"], "final_answer": "-249559342692", "answer_type": "integer", "kind": "expression", "math_text": "-17006 * (2352 * 6238 + 3006)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17006, \"b\": 2352, \"c\": 6238, \"d\": 3006}", "seed": "11244349225211539674", "semantic_fingerprint": "sha256:e1aafa5967715105ccf246e5f466d6c95a46de2cd537783d87d806befddd80b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001044", "prompt": "What value of x satisfies x + 93589 = -35914?", "solution_steps": ["Subtract 93589 from both sides: x = -129503"], "final_answer": "-129503", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 93589 = -35914", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93589, \"b\": -35914}", "seed": "17054719871720600240", "semantic_fingerprint": "sha256:fb7a279016753df871a823fa51f9f9b9189f9dd82f921e1bbc861c00e0cc7955", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001045", "prompt": "Compute: -82155 * (63081 - (-7763))", "solution_steps": ["Subtract: 63081 - (-7763) = 70844", "Multiply: -82155 * 70844 = -5820188820"], "final_answer": "-5820188820", "answer_type": "integer", "kind": "expression", "math_text": "-82155 * (63081 - (-7763))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -82155, \"b\": 63081, \"c\": -7763}", "seed": "18147602303118296932", "semantic_fingerprint": "sha256:46b76e78c6b2c6481caaabab9e44a2a0c70ba24896bc2d092d65292dc814d792", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001046", "prompt": "Evaluate: 26843 - 99822 - 8610", "solution_steps": ["Subtract: 26843 - 99822 = -72979", "Subtract: -72979 - 8610 = -81589"], "final_answer": "-81589", "answer_type": "integer", "kind": "expression", "math_text": "26843 - 99822 - 8610", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26843, \"b\": 99822, \"c\": 8610}", "seed": "12668458899724014484", "semantic_fingerprint": "sha256:5b264db9e65aa419a349b86b7f5ef95e950c23ae99cae1b099e0cfc33a3e3ab0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001047", "prompt": "Solve the equation -26x - 1812 = 37x + 2976 for x.", "solution_steps": ["Subtract 37x from both sides: -63x - 1812 = 2976", "Add 1812 to both sides: -63x = 4788", "Divide both sides by -63: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x - 1812 = 37x + 2976", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 1812, \"c\": 37, \"e\": 2976, \"x\": -76}", "seed": "5006445887770814392", "semantic_fingerprint": "sha256:616ad486600f224325440970d36854e34661ecd6549fbc151308375c21f45200", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001048", "prompt": "What is 15280 - (-5135) / (-11991 / (4833 - (-82269)))?", "solution_steps": ["Subtract: 4833 - (-82269) = 87102", "Divide: -11991 / 87102 = -3997/29034", "Divide: -5135 / (-3997/29034) = 149089590/3997", "Subtract: 15280 - 149089590/3997 = -88015430/3997"], "final_answer": "-88015430/3997", "answer_type": "rational", "kind": "expression", "math_text": "15280 - (-5135) / (-11991 / (4833 - (-82269)))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15280, \"b\": -5135, \"c\": -11991, \"d\": 4833, \"e\": -82269}", "seed": "2645447321310226687", "semantic_fingerprint": "sha256:d22f5a956ba484ac068828a9195adfaf9b096d8f842e56d470abff8cdebfc590", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001049", "prompt": "Compute: -91996 + (-14677 + (-6635 + 1629))", "solution_steps": ["Add: -6635 + 1629 = -5006", "Add: -14677 + (-5006) = -19683", "Add: -91996 + (-19683) = -111679"], "final_answer": "-111679", "answer_type": "integer", "kind": "expression", "math_text": "-91996 + (-14677 + (-6635 + 1629))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -91996, \"b\": -14677, \"c\": -6635, \"d\": 1629}", "seed": "6378676027606183691", "semantic_fingerprint": "sha256:c22951287b54716f375375d3c0d0b2fe18e9e2c5e02e8ccaa22df52abf0c0de1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001050", "prompt": "Solve the equation -23x = x - 1152 for x.", "solution_steps": ["Subtract x from both sides: -24x = -1152", "Divide both sides by -24: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x = x - 1152", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"c\": -1152, \"x\": 48}", "seed": "16873196410327299917", "semantic_fingerprint": "sha256:ee23a1b9bc8a6112ccf32882a4b18a9de5cf273fc0ccaf583d0a279a4ebbde4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001051", "prompt": "Find x: 35(x + 9927) = 22x + 10971", "solution_steps": ["Expand: 35x + 347445 = 22x + 10971", "Subtract 22x from both sides: 13x + 347445 = 10971", "Subtract 347445 from both sides: 13x = -336474", "Divide both sides by 13: x = -336474/13"], "final_answer": "-336474/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 9927) = 22x + 10971", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 9927, \"c\": 22, \"d\": 10971}", "seed": "12058707976467499606", "semantic_fingerprint": "sha256:a2a97ca3579749a3d3d9350cf0f1af998db6070259a3bf69a43bc1fb4700996e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001052", "prompt": "Evaluate: 9540 + (-2929) * (-7669)", "solution_steps": ["Multiply: -2929 * (-7669) = 22462501", "Add: 9540 + 22462501 = 22472041"], "final_answer": "22472041", "answer_type": "integer", "kind": "expression", "math_text": "9540 + (-2929) * (-7669)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9540, \"b\": -2929, \"c\": -7669}", "seed": "10300136304204377950", "semantic_fingerprint": "sha256:06b87402695fd5c38dde5c3318283f2c33a912ba26cef5b4aa7c6e450ad56c81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001053", "prompt": "Calculate: -55265 + (-4600)", "solution_steps": ["Add: -55265 + (-4600) = -59865"], "final_answer": "-59865", "answer_type": "integer", "kind": "expression", "math_text": "-55265 + (-4600)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -55265, \"b\": -4600}", "seed": "14232332067855445570", "semantic_fingerprint": "sha256:588ac8cec0061f4a9bfa6dc1ed7ba1020858a7a383ce0ae47469b5a79ef1fb4c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001054", "prompt": "Evaluate: -91901 + (-7210)", "solution_steps": ["Add: -91901 + (-7210) = -99111"], "final_answer": "-99111", "answer_type": "integer", "kind": "expression", "math_text": "-91901 + (-7210)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -91901, \"b\": -7210}", "seed": "12726585637859325572", "semantic_fingerprint": "sha256:4aea1bc7ae18bc5a799774d94a291d806e5beb65cfdbf87e484dd844d78da4a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001055", "prompt": "Evaluate: -5057 - (-8893)", "solution_steps": ["Subtract: -5057 - (-8893) = 3836"], "final_answer": "3836", "answer_type": "integer", "kind": "expression", "math_text": "-5057 - (-8893)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5057, \"b\": -8893}", "seed": "9205832220100005146", "semantic_fingerprint": "sha256:43b46421d82362f3a3182d97c30263cae8fdbc5aa0905d2eb1360c87793659d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001056", "prompt": "Calculate: 9167 + (5431 - (-72771))", "solution_steps": ["Subtract: 5431 - (-72771) = 78202", "Add: 9167 + 78202 = 87369"], "final_answer": "87369", "answer_type": "integer", "kind": "expression", "math_text": "9167 + (5431 - (-72771))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9167, \"b\": 5431, \"c\": -72771}", "seed": "7021061314367717788", "semantic_fingerprint": "sha256:9928dd3718d722d1aa47dbcf18c7c4104d15c2b841246c573d8fcbe7e2c1424c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001057", "prompt": "Solve for x: 21(x - 2201) - 9072 = x - 52173", "solution_steps": ["Expand: 21x - 46221 - 9072 = x - 52173", "Combine constants: 21x - 55293 = x - 52173", "Subtract x from both sides: 20x - 55293 = -52173", "Add 55293 to both sides: 20x = 3120", "Divide both sides by 20: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 2201) - 9072 = x - 52173", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 2201, \"c\": 9072, \"e\": -52173, \"x\": 156}", "seed": "8197602526178654247", "semantic_fingerprint": "sha256:bff41b0df09a04c20468b642a96960aa1029afee2b1f208b5e94fb0a3dddbe9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001058", "prompt": "Evaluate: -87034 * 48293", "solution_steps": ["Multiply: -87034 * 48293 = -4203132962"], "final_answer": "-4203132962", "answer_type": "integer", "kind": "expression", "math_text": "-87034 * 48293", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -87034, \"b\": 48293}", "seed": "8474898176512829385", "semantic_fingerprint": "sha256:6f002e9b472a61a593b945cadd6d865ccbc84f7613f7ffac717ab89e364614c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001059", "prompt": "Solve for x: x + 3275 = 37(x + 4736) + 9083", "solution_steps": ["Expand: x + 3275 = 37x + 175232 + 9083", "Combine constants: x + 3275 = 37x + 184315", "Subtract 37x from both sides: -36x + 3275 = 184315", "Subtract 3275 from both sides: -36x = 181040", "Divide both sides by -36: x = -45260/9"], "final_answer": "-45260/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3275 = 37(x + 4736) + 9083", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3275, \"b\": 37, \"c\": 4736, \"d\": 9083}", "seed": "8842228781791676436", "semantic_fingerprint": "sha256:abdb2882c80aa28d3a078a0bc21336216a0340806f641646e1b7dfd21e98ba19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001060", "prompt": "Calculate: -2031 / (-9684)", "solution_steps": ["Divide: -2031 / (-9684) = 677/3228"], "final_answer": "677/3228", "answer_type": "rational", "kind": "expression", "math_text": "-2031 / (-9684)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2031, \"b\": -9684}", "seed": "11367884964556392275", "semantic_fingerprint": "sha256:4a639dcc3e0464b0c110589273bbf875089a19128b8a7d84ce949fcf02b3bed6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001061", "prompt": "Calculate: -37481 + (-70859) + (9166 - 5446) + (-95822)", "solution_steps": ["Add: -37481 + (-70859) = -108340", "Subtract: 9166 - 5446 = 3720", "Add: -108340 + 3720 = -104620", "Add: -104620 + (-95822) = -200442"], "final_answer": "-200442", "answer_type": "integer", "kind": "expression", "math_text": "-37481 + (-70859) + (9166 - 5446) + (-95822)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37481, \"b\": -70859, \"c\": 9166, \"d\": 5446, \"e\": -95822}", "seed": "3002007520608931537", "semantic_fingerprint": "sha256:2830e9b863ddf8b045a2eb4dd63eb9dae8b6d3dda3df5abf8bd11dd6bf099863", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001062", "prompt": "What is -4329 * (-8576 + (-13011) + 68475)?", "solution_steps": ["Add: -8576 + (-13011) = -21587", "Add: -21587 + 68475 = 46888", "Multiply: -4329 * 46888 = -202978152"], "final_answer": "-202978152", "answer_type": "integer", "kind": "expression", "math_text": "-4329 * (-8576 + (-13011) + 68475)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4329, \"b\": -8576, \"c\": -13011, \"d\": 68475}", "seed": "3037548451806867282", "semantic_fingerprint": "sha256:0c1452c2880e90698ba44944e4564e95e7f54e64630fce6744fc33d34f82d7e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001063", "prompt": "Find x: 26(x - 4360) + 8059 = x", "solution_steps": ["Expand: 26x - 113360 + 8059 = x", "Combine constants: 26x - 105301 = x", "Subtract x from both sides: 25x - 105301 = 0", "Add 105301 to both sides: 25x = 105301", "Divide both sides by 25: x = 105301/25"], "final_answer": "105301/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 4360) + 8059 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 4360, \"c\": 8059}", "seed": "7654825055317535", "semantic_fingerprint": "sha256:b8a7ea511951b67b4157debc6fb4897462f29075c0dadbfd891af18e9d18fada", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001064", "prompt": "What value of x satisfies 20x = x?", "solution_steps": ["Subtract x from both sides: 19x = 0", "Divide both sides by 19: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20}", "seed": "13381564712271002890", "semantic_fingerprint": "sha256:0cf5e6e58eccba42cb7613703d98658502125a6e59095a0ca1da764bd5fded30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001065", "prompt": "What is 9564 - (-8310)?", "solution_steps": ["Subtract: 9564 - (-8310) = 17874"], "final_answer": "17874", "answer_type": "integer", "kind": "expression", "math_text": "9564 - (-8310)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9564, \"b\": -8310}", "seed": "17952064137432104479", "semantic_fingerprint": "sha256:04848c03e168f2b2c68c9b91ba49c1ce214bac9c6674aa95ff828a091a93e734", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001066", "prompt": "What is 4645 - 9503 + (-7933)?", "solution_steps": ["Subtract: 4645 - 9503 = -4858", "Add: -4858 + (-7933) = -12791"], "final_answer": "-12791", "answer_type": "integer", "kind": "expression", "math_text": "4645 - 9503 + (-7933)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4645, \"b\": 9503, \"c\": -7933}", "seed": "12403307276285012052", "semantic_fingerprint": "sha256:9c638cb1db6cb67e7cd954e4255eac9340cddb6ff6ad28a9c89a9f42ce39dc39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001067", "prompt": "Compute: (-95311 + 7537) / 73723", "solution_steps": ["Add: -95311 + 7537 = -87774", "Divide: -87774 / 73723 = -87774/73723"], "final_answer": "-87774/73723", "answer_type": "rational", "kind": "expression", "math_text": "(-95311 + 7537) / 73723", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95311, \"b\": 7537, \"c\": 73723}", "seed": "10745601839052012565", "semantic_fingerprint": "sha256:b7421566fcf7712e6f7e842a0d2a4fd078d47e4ae5bc4f38a0568290c59afa3a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001068", "prompt": "Calculate: -82859 * (-14347 / (9571 + (-78223 + 4780 - (-71071))))", "solution_steps": ["Add: -78223 + 4780 = -73443", "Subtract: -73443 - (-71071) = -2372", "Add: 9571 + (-2372) = 7199", "Divide: -14347 / 7199 = -14347/7199", "Multiply: -82859 * (-14347/7199) = 1188778073/7199"], "final_answer": "1188778073/7199", "answer_type": "rational", "kind": "expression", "math_text": "-82859 * (-14347 / (9571 + (-78223 + 4780 - (-71071))))", "variable": null, "family": "expression_5op", "shape": "(* n (/ n (+ n (- (+ n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -82859, \"b\": -14347, \"c\": 9571, \"d\": -78223, \"e\": 4780, \"f\": -71071}", "seed": "17965611394342400227", "semantic_fingerprint": "sha256:91005e8aecfb4167d3d3953ec3894a094c5d51b2b2326f22835c4cc05e88fc07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001069", "prompt": "Compute: -9151 - (-8352)", "solution_steps": ["Subtract: -9151 - (-8352) = -799"], "final_answer": "-799", "answer_type": "integer", "kind": "expression", "math_text": "-9151 - (-8352)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9151, \"b\": -8352}", "seed": "5323638916951667753", "semantic_fingerprint": "sha256:e1fbc81b451bf01e074e3b464fc3493912b3bbf3ce47aabb14db1d17321be85b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001070", "prompt": "Evaluate: -24166 / 5603 - 9918 - (20703 + (-6178))", "solution_steps": ["Divide: -24166 / 5603 = -24166/5603", "Subtract: -24166/5603 - 9918 = -55594720/5603", "Add: 20703 + (-6178) = 14525", "Subtract: -55594720/5603 - 14525 = -136978295/5603"], "final_answer": "-136978295/5603", "answer_type": "rational", "kind": "expression", "math_text": "-24166 / 5603 - 9918 - (20703 + (-6178))", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24166, \"b\": 5603, \"c\": 9918, \"d\": 20703, \"e\": -6178}", "seed": "6964003912277239710", "semantic_fingerprint": "sha256:fdcc3dfdf2de34e45e8fd6cbb637b8f1b74e2061ef414287a2dbb4c937423c40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001071", "prompt": "Compute: -8540 / (-67076)", "solution_steps": ["Divide: -8540 / (-67076) = 2135/16769"], "final_answer": "2135/16769", "answer_type": "rational", "kind": "expression", "math_text": "-8540 / (-67076)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8540, \"b\": -67076}", "seed": "11969153102442294187", "semantic_fingerprint": "sha256:a7f088f6c9b0a13a59a25beef95dfaf5bcf03dc647c395304b1fcfd4440b5106", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001072", "prompt": "Evaluate: 78836 / (77265 - 2997) * (-8797 + (-9376))", "solution_steps": ["Subtract: 77265 - 2997 = 74268", "Divide: 78836 / 74268 = 19709/18567", "Add: -8797 + (-9376) = -18173", "Multiply: (19709/18567) * (-18173) = -358171657/18567"], "final_answer": "-358171657/18567", "answer_type": "rational", "kind": "expression", "math_text": "78836 / (77265 - 2997) * (-8797 + (-9376))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 78836, \"b\": 77265, \"c\": 2997, \"d\": -8797, \"e\": -9376}", "seed": "11209339895789582519", "semantic_fingerprint": "sha256:20dcc11c69d95514b3d9758ec70e41aa6fe7415604a470274bdc890f7a39f647", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001073", "prompt": "What is -25107 * 32743 - (-1884)?", "solution_steps": ["Multiply: -25107 * 32743 = -822078501", "Subtract: -822078501 - (-1884) = -822076617"], "final_answer": "-822076617", "answer_type": "integer", "kind": "expression", "math_text": "-25107 * 32743 - (-1884)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25107, \"b\": 32743, \"c\": -1884}", "seed": "221338540287631707", "semantic_fingerprint": "sha256:54df66b14f10acb02d9a28cd5738a843606a2600d639a735de26591885966d70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001074", "prompt": "What is -8802 - (-41186) / 82174?", "solution_steps": ["Divide: -41186 / 82174 = -20593/41087", "Subtract: -8802 - (-20593/41087) = -361627181/41087"], "final_answer": "-361627181/41087", "answer_type": "rational", "kind": "expression", "math_text": "-8802 - (-41186) / 82174", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8802, \"b\": -41186, \"c\": 82174}", "seed": "10916559838395841726", "semantic_fingerprint": "sha256:7805fc982e1d7d108d540f10c855b7d5444a8ea7b0379f07a667cbda2b1efb13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001075", "prompt": "Solve for x: -28(x - 3671) - 61681 = 33(x - 1680) + 3834", "solution_steps": ["Expand: -28x + 102788 - 61681 = 33(x - 1680) + 3834", "Expand: -28x + 102788 - 61681 = 33x - 55440 + 3834", "Combine constants: -28x + 41107 = 33x - 55440 + 3834", "Combine constants: -28x + 41107 = 33x - 51606", "Subtract 33x from both sides: -61x + 41107 = -51606", "Subtract 41107 from both sides: -61x = -92713", "Divide both sides by -61: x = 92713/61"], "final_answer": "92713/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "-28(x - 3671) - 61681 = 33(x - 1680) + 3834", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 3671, \"c\": 61681, \"d\": 33, \"e\": 1680, \"f\": 3834}", "seed": "3307749348145376868", "semantic_fingerprint": "sha256:6ebcfc0432183883d246826a406bc38d292cd46131b48c12f04a78de8c140a28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001076", "prompt": "Compute: (-1552 + (-2038)) * (-4746 / (-8048) + (29602 + (-6402)))", "solution_steps": ["Add: -1552 + (-2038) = -3590", "Divide: -4746 / (-8048) = 2373/4024", "Add: 29602 + (-6402) = 23200", "Add: 2373/4024 + 23200 = 93359173/4024", "Multiply: -3590 * (93359173/4024) = -167579715535/2012"], "final_answer": "-167579715535/2012", "answer_type": "rational", "kind": "expression", "math_text": "(-1552 + (-2038)) * (-4746 / (-8048) + (29602 + (-6402)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ (/ n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1552, \"b\": -2038, \"c\": -4746, \"d\": -8048, \"e\": 29602, \"f\": -6402}", "seed": "15747709604401905837", "semantic_fingerprint": "sha256:529fd14c95cf8d80f5ab785ec857dfe0b37d9ebe959a28d75be692ab866d72dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001077", "prompt": "What value of x satisfies 21x - 7026 = 13x?", "solution_steps": ["Subtract 13x from both sides: 8x - 7026 = 0", "Add 7026 to both sides: 8x = 7026", "Divide both sides by 8: x = 3513/4"], "final_answer": "3513/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x - 7026 = 13x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 7026, \"c\": 13}", "seed": "12576019768727958608", "semantic_fingerprint": "sha256:b7cd94c9b6962a9f33aebc2cf0008764301ce128b15205cd9d60f0be12faccbc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001078", "prompt": "Evaluate: 8328 * (-8496 + 9133 - (-20027))", "solution_steps": ["Add: -8496 + 9133 = 637", "Subtract: 637 - (-20027) = 20664", "Multiply: 8328 * 20664 = 172089792"], "final_answer": "172089792", "answer_type": "integer", "kind": "expression", "math_text": "8328 * (-8496 + 9133 - (-20027))", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8328, \"b\": -8496, \"c\": 9133, \"d\": -20027}", "seed": "2073396098505066750", "semantic_fingerprint": "sha256:98fe0dfc8cb6eb476dcf83a70124bdb16bcef8057b031de3682651ce21520ee7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001079", "prompt": "Evaluate: 48301 - (-9696 - (-1966))", "solution_steps": ["Subtract: -9696 - (-1966) = -7730", "Subtract: 48301 - (-7730) = 56031"], "final_answer": "56031", "answer_type": "integer", "kind": "expression", "math_text": "48301 - (-9696 - (-1966))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 48301, \"b\": -9696, \"c\": -1966}", "seed": "7158966376483361957", "semantic_fingerprint": "sha256:b18d289dc9cd08d4b369fb0d5c91d729955ae0397a09090d7bafab85cd55ce44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001080", "prompt": "Calculate: 6520 + (-97434)", "solution_steps": ["Add: 6520 + (-97434) = -90914"], "final_answer": "-90914", "answer_type": "integer", "kind": "expression", "math_text": "6520 + (-97434)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6520, \"b\": -97434}", "seed": "17102758423641230261", "semantic_fingerprint": "sha256:e32f20045d596b7edaad19257a39db8804a02a95ecd6ad5a98b5c3a1a549891d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001081", "prompt": "Calculate: -92575 - (-5313) * 82813", "solution_steps": ["Multiply: -5313 * 82813 = -439985469", "Subtract: -92575 - (-439985469) = 439892894"], "final_answer": "439892894", "answer_type": "integer", "kind": "expression", "math_text": "-92575 - (-5313) * 82813", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -92575, \"b\": -5313, \"c\": 82813}", "seed": "5175947885965356212", "semantic_fingerprint": "sha256:2e90ebebcca128e9b26017bdbedd30d993f6561cd53e8896d7d234eeee240c0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001082", "prompt": "Solve the equation 13(x + 5703) = -15x + 77527 for x.", "solution_steps": ["Expand: 13x + 74139 = -15x + 77527", "Add 15x to both sides: 28x + 74139 = 77527", "Subtract 74139 from both sides: 28x = 3388", "Divide both sides by 28: x = 121"], "final_answer": "121", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 5703) = -15x + 77527", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 5703, \"c\": -15, \"e\": 77527, \"x\": 121}", "seed": "1600004782855642454", "semantic_fingerprint": "sha256:84667b39564320af1ef3e8fef35df2e171820e83eb8dbc0ec55930b113ac4779", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001083", "prompt": "Find x: 30x = 14(x - 3523) + 46017", "solution_steps": ["Expand: 30x = 14x - 49322 + 46017", "Combine constants: 30x = 14x - 3305", "Subtract 14x from both sides: 16x = -3305", "Divide both sides by 16: x = -3305/16"], "final_answer": "-3305/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = 14(x - 3523) + 46017", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 14, \"c\": 3523, \"d\": 46017}", "seed": "7718815750830993738", "semantic_fingerprint": "sha256:fc6dd643a2a200923d5310f4ee66b9b52fa7c64e77ed2641da1e2da5f0cc884b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001084", "prompt": "Evaluate: -56488 + (-3213)", "solution_steps": ["Add: -56488 + (-3213) = -59701"], "final_answer": "-59701", "answer_type": "integer", "kind": "expression", "math_text": "-56488 + (-3213)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -56488, \"b\": -3213}", "seed": "9952519751106243375", "semantic_fingerprint": "sha256:aff2182313cc370e90366094fc10fab361feb4d6d6ac5a6bc06922bc95b5bbf1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001085", "prompt": "Calculate: -2530 + 9621 + 87290 * 4325", "solution_steps": ["Add: -2530 + 9621 = 7091", "Multiply: 87290 * 4325 = 377529250", "Add: 7091 + 377529250 = 377536341"], "final_answer": "377536341", "answer_type": "integer", "kind": "expression", "math_text": "-2530 + 9621 + 87290 * 4325", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2530, \"b\": 9621, \"c\": 87290, \"d\": 4325}", "seed": "14715538099283303007", "semantic_fingerprint": "sha256:e6a31c1e6d6fc11b8222edba2b82b98606a332a5519a294ea5fd429e540896e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001086", "prompt": "Solve for x: 37(x - 27818) + 41743 = x + 1096", "solution_steps": ["Expand: 37x - 1029266 + 41743 = x + 1096", "Combine constants: 37x - 987523 = x + 1096", "Subtract x from both sides: 36x - 987523 = 1096", "Add 987523 to both sides: 36x = 988619", "Divide both sides by 36: x = 988619/36"], "final_answer": "988619/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 27818) + 41743 = x + 1096", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 27818, \"c\": 41743, \"d\": 1096}", "seed": "16895582359122497088", "semantic_fingerprint": "sha256:4a9221f7127bb4b4e1eccb18fae270f4fced3cb97360be23d8ba256cf64d181b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001087", "prompt": "What is -5490 * (-3848)?", "solution_steps": ["Multiply: -5490 * (-3848) = 21125520"], "final_answer": "21125520", "answer_type": "integer", "kind": "expression", "math_text": "-5490 * (-3848)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5490, \"b\": -3848}", "seed": "15020741345682211838", "semantic_fingerprint": "sha256:d19ba87d33bf99754521b075c5a0232eefac45399b1397584441396cc4848d69", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001088", "prompt": "Calculate: -63320 / (-4905) - 4623", "solution_steps": ["Divide: -63320 / (-4905) = 12664/981", "Subtract: 12664/981 - 4623 = -4522499/981"], "final_answer": "-4522499/981", "answer_type": "rational", "kind": "expression", "math_text": "-63320 / (-4905) - 4623", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -63320, \"b\": -4905, \"c\": 4623}", "seed": "5633670945655480808", "semantic_fingerprint": "sha256:f30a04c3b30b831496af0edf08ffbfc60339429ec3b6d5af595d903f574d1bd8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001089", "prompt": "Compute: -26819 * (-8350)", "solution_steps": ["Multiply: -26819 * (-8350) = 223938650"], "final_answer": "223938650", "answer_type": "integer", "kind": "expression", "math_text": "-26819 * (-8350)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -26819, \"b\": -8350}", "seed": "15202054588434785595", "semantic_fingerprint": "sha256:1010046b4011eb43f4f9880cf537969ce7293aacb7cd308d04b6c722a34c4c1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001090", "prompt": "What is (-8380 + (-7765)) * (84453 + (-1393))?", "solution_steps": ["Add: -8380 + (-7765) = -16145", "Add: 84453 + (-1393) = 83060", "Multiply: -16145 * 83060 = -1341003700"], "final_answer": "-1341003700", "answer_type": "integer", "kind": "expression", "math_text": "(-8380 + (-7765)) * (84453 + (-1393))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8380, \"b\": -7765, \"c\": 84453, \"d\": -1393}", "seed": "11194748204710694445", "semantic_fingerprint": "sha256:ab789fb2f89f0b63790cc96c0934a00326313ee7624031257ac3dd66009b128f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001091", "prompt": "Calculate: -45822 / 92594 - 2107", "solution_steps": ["Divide: -45822 / 92594 = -22911/46297", "Subtract: -22911/46297 - 2107 = -97570690/46297"], "final_answer": "-97570690/46297", "answer_type": "rational", "kind": "expression", "math_text": "-45822 / 92594 - 2107", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45822, \"b\": 92594, \"c\": 2107}", "seed": "12622327134360638805", "semantic_fingerprint": "sha256:037d8b84e2f28025fcac1a6135ffd434119c0d598d271f6674459a47c05a4b3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001092", "prompt": "Evaluate: -33771 / 3869", "solution_steps": ["Divide: -33771 / 3869 = -33771/3869"], "final_answer": "-33771/3869", "answer_type": "rational", "kind": "expression", "math_text": "-33771 / 3869", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33771, \"b\": 3869}", "seed": "3826907641886428210", "semantic_fingerprint": "sha256:6788329d660857cff7e479b38742bd8ed6eefca7f829d6fb15b9105f1815fe0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001093", "prompt": "What is 16664 * (9819 + 60178 + (-15661 + (-43815)))?", "solution_steps": ["Add: 9819 + 60178 = 69997", "Add: -15661 + (-43815) = -59476", "Add: 69997 + (-59476) = 10521", "Multiply: 16664 * 10521 = 175321944"], "final_answer": "175321944", "answer_type": "integer", "kind": "expression", "math_text": "16664 * (9819 + 60178 + (-15661 + (-43815)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16664, \"b\": 9819, \"c\": 60178, \"d\": -15661, \"e\": -43815}", "seed": "15741781846372784580", "semantic_fingerprint": "sha256:5382412920c8fc7896ad4a974a82ac05d9adbf68f16e19caf07280e144e48158", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001094", "prompt": "Evaluate: 7610 / (-5923) + (8251 + (-6431))", "solution_steps": ["Divide: 7610 / (-5923) = -7610/5923", "Add: 8251 + (-6431) = 1820", "Add: -7610/5923 + 1820 = 10772250/5923"], "final_answer": "10772250/5923", "answer_type": "rational", "kind": "expression", "math_text": "7610 / (-5923) + (8251 + (-6431))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7610, \"b\": -5923, \"c\": 8251, \"d\": -6431}", "seed": "4300606650855190312", "semantic_fingerprint": "sha256:2d4ce34f3204bcac6f04b533f1168e36a6895dd735393eaf1739f9c01faf4a05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001095", "prompt": "Calculate: -1874 * 88633 - 5456 + 6189", "solution_steps": ["Multiply: -1874 * 88633 = -166098242", "Subtract: -166098242 - 5456 = -166103698", "Add: -166103698 + 6189 = -166097509"], "final_answer": "-166097509", "answer_type": "integer", "kind": "expression", "math_text": "-1874 * 88633 - 5456 + 6189", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1874, \"b\": 88633, \"c\": 5456, \"d\": 6189}", "seed": "3682766856602511460", "semantic_fingerprint": "sha256:b1960f18d61d64e8322f026676b055a57581dfd46806e8831d85d33b41077f6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001096", "prompt": "Calculate: -25643 - (-9989) / 80083 * 3923", "solution_steps": ["Divide: -9989 / 80083 = -9989/80083", "Multiply: (-9989/80083) * 3923 = -39186847/80083", "Subtract: -25643 - (-39186847/80083) = -2014381522/80083"], "final_answer": "-2014381522/80083", "answer_type": "rational", "kind": "expression", "math_text": "-25643 - (-9989) / 80083 * 3923", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25643, \"b\": -9989, \"c\": 80083, \"d\": 3923}", "seed": "11343357936998368832", "semantic_fingerprint": "sha256:fed1829993c3b01051dcb9d4cb3ca8c7e22c27730229a3bb745de5081c91ea87", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001097", "prompt": "Compute: -3649 * 96109 - (-19894)", "solution_steps": ["Multiply: -3649 * 96109 = -350701741", "Subtract: -350701741 - (-19894) = -350681847"], "final_answer": "-350681847", "answer_type": "integer", "kind": "expression", "math_text": "-3649 * 96109 - (-19894)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3649, \"b\": 96109, \"c\": -19894}", "seed": "1912241888828666636", "semantic_fingerprint": "sha256:31c85be522ff444ae79adc2de88b3a8d8923177cce00a4a24ce761d3c89c8383", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001098", "prompt": "What is -6751 - (41746 - (-88694))?", "solution_steps": ["Subtract: 41746 - (-88694) = 130440", "Subtract: -6751 - 130440 = -137191"], "final_answer": "-137191", "answer_type": "integer", "kind": "expression", "math_text": "-6751 - (41746 - (-88694))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6751, \"b\": 41746, \"c\": -88694}", "seed": "15675824301688051229", "semantic_fingerprint": "sha256:965bd5d05333c8ed28834b16ef87da9020e9e8ff3aa65a7aa363ce427dbff57f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001099", "prompt": "Solve for x: 17x + 15352 = 35x + 7371", "solution_steps": ["Subtract 35x from both sides: -18x + 15352 = 7371", "Subtract 15352 from both sides: -18x = -7981", "Divide both sides by -18: x = 7981/18"], "final_answer": "7981/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x + 15352 = 35x + 7371", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 15352, \"c\": 35, \"d\": 7371}", "seed": "7873228401391663620", "semantic_fingerprint": "sha256:85038dc5df1952c853dc49f39f0f2cbd1ea5c95418936f10aaeb0b64abb6ef31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001100", "prompt": "What value of x satisfies x - 73187 = -73341?", "solution_steps": ["Add 73187 to both sides: x = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 73187 = -73341", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73187, \"c\": -73341, \"x\": -154}", "seed": "16566266071192107725", "semantic_fingerprint": "sha256:fbd805d826edd7755953a3bd3f029c686b7ec605db580fc6733f2fea1468f7a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001101", "prompt": "Solve the equation 18x - 6163 = -4219 for x.", "solution_steps": ["Add 6163 to both sides: 18x = 1944", "Divide both sides by 18: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x - 6163 = -4219", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 6163, \"d\": -4219, \"x\": 108}", "seed": "2071462425779386457", "semantic_fingerprint": "sha256:ff718aa7986f86f6b297b3828af81036b482c88cd692db4af82a192f3c21e60e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001102", "prompt": "Find x: 34(x + 56672) = 39(x + 9410)", "solution_steps": ["Expand: 34x + 1926848 = 39(x + 9410)", "Expand: 34x + 1926848 = 39x + 366990", "Subtract 39x from both sides: -5x + 1926848 = 366990", "Subtract 1926848 from both sides: -5x = -1559858", "Divide both sides by -5: x = 1559858/5"], "final_answer": "1559858/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 56672) = 39(x + 9410)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 56672, \"c\": 39, \"d\": 9410}", "seed": "2460298888682955052", "semantic_fingerprint": "sha256:f03b5bd568348d836aa51fd3396b8711098d7a846cc12201c943fc1bb3bbc228", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001103", "prompt": "Compute: 6877 - 3746 - (-3086) * (-3674 / 3822)", "solution_steps": ["Subtract: 6877 - 3746 = 3131", "Divide: -3674 / 3822 = -1837/1911", "Multiply: -3086 * (-1837/1911) = 5668982/1911", "Subtract: 3131 - 5668982/1911 = 314359/1911"], "final_answer": "314359/1911", "answer_type": "rational", "kind": "expression", "math_text": "6877 - 3746 - (-3086) * (-3674 / 3822)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6877, \"b\": 3746, \"c\": -3086, \"d\": -3674, \"e\": 3822}", "seed": "13237103619206559036", "semantic_fingerprint": "sha256:12e35f43699d8d5c930fe89169b56d340d83d845cc7fd02f5280a80ec3d114cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001104", "prompt": "What is -57017 / (-67482)?", "solution_steps": ["Divide: -57017 / (-67482) = 2479/2934"], "final_answer": "2479/2934", "answer_type": "rational", "kind": "expression", "math_text": "-57017 / (-67482)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -57017, \"b\": -67482}", "seed": "4627086341790760793", "semantic_fingerprint": "sha256:d0622e7fbd24b0333509fb15f14a3bb270cd85e7ca2d44e9758c1266da48861e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001105", "prompt": "Evaluate: 6727 + (-7467)", "solution_steps": ["Add: 6727 + (-7467) = -740"], "final_answer": "-740", "answer_type": "integer", "kind": "expression", "math_text": "6727 + (-7467)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6727, \"b\": -7467}", "seed": "10399144382333771837", "semantic_fingerprint": "sha256:68e5c69cfb0cc20f8dd73d8caeca31b3f6d211218b503553c9d3f50a9478a7e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001106", "prompt": "What value of x satisfies 35(x + 67423) = x?", "solution_steps": ["Expand: 35x + 2359805 = x", "Subtract x from both sides: 34x + 2359805 = 0", "Subtract 2359805 from both sides: 34x = -2359805", "Divide both sides by 34: x = -2359805/34"], "final_answer": "-2359805/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 67423) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 67423}", "seed": "1357598645775786846", "semantic_fingerprint": "sha256:db22ef0253f45fab4d402723bf280b8baea4fc15da8de031085637826fcc9b2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001107", "prompt": "Find x: 40x = -28(x + 27552)", "solution_steps": ["Expand: 40x = -28x - 771456", "Add 28x to both sides: 68x = -771456", "Divide both sides by 68: x = -192864/17"], "final_answer": "-192864/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x = -28(x + 27552)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": -28, \"c\": 27552}", "seed": "15884334817099030489", "semantic_fingerprint": "sha256:322fc4639c475af53f5f803e87e2807edf4975dcd29c04369ff55cb3b4b2d95e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001108", "prompt": "Evaluate: (-6654 + 8039) * (64780 * 7347)", "solution_steps": ["Add: -6654 + 8039 = 1385", "Multiply: 64780 * 7347 = 475938660", "Multiply: 1385 * 475938660 = 659175044100"], "final_answer": "659175044100", "answer_type": "integer", "kind": "expression", "math_text": "(-6654 + 8039) * (64780 * 7347)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6654, \"b\": 8039, \"c\": 64780, \"d\": 7347}", "seed": "1803640814494535195", "semantic_fingerprint": "sha256:195c0f8bf2a680514bd40a98151b78e8997e821f1f4e2b4000099482de37c8ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001109", "prompt": "Solve the equation 20(x - 3198) - 4401 = 16(x + 1758) - 96341 for x.", "solution_steps": ["Expand: 20x - 63960 - 4401 = 16(x + 1758) - 96341", "Expand: 20x - 63960 - 4401 = 16x + 28128 - 96341", "Combine constants: 20x - 68361 = 16x + 28128 - 96341", "Combine constants: 20x - 68361 = 16x - 68213", "Subtract 16x from both sides: 4x - 68361 = -68213", "Add 68361 to both sides: 4x = 148", "Divide both sides by 4: x = 37"], "final_answer": "37", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 3198) - 4401 = 16(x + 1758) - 96341", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3198, \"c\": 4401, \"d\": 16, \"e\": 1758, \"g\": -96341, \"x\": 37}", "seed": "6439469892076686642", "semantic_fingerprint": "sha256:289480dc8e767b3db0b1f7f2df528cc21827da9a238ab1038eaba0290463f8c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001110", "prompt": "Evaluate: -5694 * (-8897) + (32955 + (72688 + (-6360)))", "solution_steps": ["Multiply: -5694 * (-8897) = 50659518", "Add: 72688 + (-6360) = 66328", "Add: 32955 + 66328 = 99283", "Add: 50659518 + 99283 = 50758801"], "final_answer": "50758801", "answer_type": "integer", "kind": "expression", "math_text": "-5694 * (-8897) + (32955 + (72688 + (-6360)))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5694, \"b\": -8897, \"c\": 32955, \"d\": 72688, \"e\": -6360}", "seed": "11255895969047947944", "semantic_fingerprint": "sha256:7b6f8536282bcc39e6c3f79b8156b2c059a08936588fe4510c9f62a37fa94d13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001111", "prompt": "What value of x satisfies -13x = 1157?", "solution_steps": ["Divide both sides by -13: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13x = 1157", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13, \"c\": 1157, \"x\": -89}", "seed": "558281889015541574", "semantic_fingerprint": "sha256:9f48e44a755f88e58ad8d483d57098e0ef4bd8eb70ce8917ded08cdcbc0429ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001112", "prompt": "Compute: 63072 - 9265 / 2351", "solution_steps": ["Divide: 9265 / 2351 = 9265/2351", "Subtract: 63072 - 9265/2351 = 148273007/2351"], "final_answer": "148273007/2351", "answer_type": "rational", "kind": "expression", "math_text": "63072 - 9265 / 2351", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63072, \"b\": 9265, \"c\": 2351}", "seed": "9453395913459426777", "semantic_fingerprint": "sha256:8511de2a953bea4f8249887bc0a0315fd92a0f8d78a84fc5b1d24c4f208f43cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001113", "prompt": "What is 7630 - (-7397)?", "solution_steps": ["Subtract: 7630 - (-7397) = 15027"], "final_answer": "15027", "answer_type": "integer", "kind": "expression", "math_text": "7630 - (-7397)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7630, \"b\": -7397}", "seed": "4230234751399201697", "semantic_fingerprint": "sha256:f45c567cf05f0e6097f7e5aecc453663f1dd4cfdb4e611b740aadf0dd845ccd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001114", "prompt": "Evaluate: -3469 * (3227 / 38723)", "solution_steps": ["Divide: 3227 / 38723 = 3227/38723", "Multiply: -3469 * (3227/38723) = -11194463/38723"], "final_answer": "-11194463/38723", "answer_type": "rational", "kind": "expression", "math_text": "-3469 * (3227 / 38723)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3469, \"b\": 3227, \"c\": 38723}", "seed": "17203908410935317403", "semantic_fingerprint": "sha256:88c930e0af59ba3297cfd78dc26277bfb44bccebc3dd6595a781d5d1697804fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001115", "prompt": "Calculate: (-25672 + (-71728)) / 9731 * (-5404 + 3017) - 1340", "solution_steps": ["Add: -25672 + (-71728) = -97400", "Divide: -97400 / 9731 = -97400/9731", "Add: -5404 + 3017 = -2387", "Multiply: (-97400/9731) * (-2387) = 232493800/9731", "Subtract: 232493800/9731 - 1340 = 219454260/9731"], "final_answer": "219454260/9731", "answer_type": "rational", "kind": "expression", "math_text": "(-25672 + (-71728)) / 9731 * (-5404 + 3017) - 1340", "variable": null, "family": "expression_5op", "shape": "(- (* (/ (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25672, \"b\": -71728, \"c\": 9731, \"d\": -5404, \"e\": 3017, \"f\": 1340}", "seed": "14762257653382984825", "semantic_fingerprint": "sha256:1261e2ae55eb4aff111a2c345e985b8763c62eb057ded444b12dc04e25ff9f0f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001116", "prompt": "Calculate: 1258 * (33346 - (-8829 + (5341 - (-6886) / (-1218))))", "solution_steps": ["Divide: -6886 / (-1218) = 3443/609", "Subtract: 5341 - 3443/609 = 3249226/609", "Add: -8829 + 3249226/609 = -2127635/609", "Subtract: 33346 - (-2127635/609) = 22435349/609", "Multiply: 1258 * (22435349/609) = 28223669042/609"], "final_answer": "28223669042/609", "answer_type": "rational", "kind": "expression", "math_text": "1258 * (33346 - (-8829 + (5341 - (-6886) / (-1218))))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (+ n (- n (/ n n)))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1258, \"b\": 33346, \"c\": -8829, \"d\": 5341, \"e\": -6886, \"f\": -1218}", "seed": "11897763044969408660", "semantic_fingerprint": "sha256:a895f87efafdf89977c207bb003d047c62991af702d4c8247ec54f3fe5983293", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001117", "prompt": "Solve for x: 18(x - 3219) = 25(x + 94963)", "solution_steps": ["Expand: 18x - 57942 = 25(x + 94963)", "Expand: 18x - 57942 = 25x + 2374075", "Subtract 25x from both sides: -7x - 57942 = 2374075", "Add 57942 to both sides: -7x = 2432017", "Divide both sides by -7: x = -347431"], "final_answer": "-347431", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x - 3219) = 25(x + 94963)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3219, \"c\": 25, \"d\": 94963}", "seed": "16419736930857932227", "semantic_fingerprint": "sha256:79ddcf9b35db80a3eeea04cd69872bb90c19fd9b7821998c3e1caed337636d38", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001118", "prompt": "What is (9405 - 51323) / 6166 - (-6911) - 4993?", "solution_steps": ["Subtract: 9405 - 51323 = -41918", "Divide: -41918 / 6166 = -20959/3083", "Subtract: -20959/3083 - (-6911) = 21285654/3083", "Subtract: 21285654/3083 - 4993 = 5892235/3083"], "final_answer": "5892235/3083", "answer_type": "rational", "kind": "expression", "math_text": "(9405 - 51323) / 6166 - (-6911) - 4993", "variable": null, "family": "expression_4op", "shape": "(- (- (/ (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9405, \"b\": 51323, \"c\": 6166, \"d\": -6911, \"e\": 4993}", "seed": "11323522555828400903", "semantic_fingerprint": "sha256:5e809a61f8cbdbdc68fcf00871c4221b25343c6ffeee0eff880292cd5a80b238", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001119", "prompt": "Calculate: -2406 / (-8707 + 44564 - 3058 + (-58655) + 5913)", "solution_steps": ["Add: -8707 + 44564 = 35857", "Subtract: 35857 - 3058 = 32799", "Add: 32799 + (-58655) = -25856", "Add: -25856 + 5913 = -19943", "Divide: -2406 / (-19943) = 2406/19943"], "final_answer": "2406/19943", "answer_type": "rational", "kind": "expression", "math_text": "-2406 / (-8707 + 44564 - 3058 + (-58655) + 5913)", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (+ (- (+ n n) n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2406, \"b\": -8707, \"c\": 44564, \"d\": 3058, \"e\": -58655, \"f\": 5913}", "seed": "12765657247808721148", "semantic_fingerprint": "sha256:b9614498162b01e2e6178ad7d1a415fdd8dcd0c15651eb092e95a861f8e47220", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001120", "prompt": "Solve for x: 26(x - 3534) - 6926 = 33(x - 3080) + 7422", "solution_steps": ["Expand: 26x - 91884 - 6926 = 33(x - 3080) + 7422", "Expand: 26x - 91884 - 6926 = 33x - 101640 + 7422", "Combine constants: 26x - 98810 = 33x - 101640 + 7422", "Combine constants: 26x - 98810 = 33x - 94218", "Subtract 33x from both sides: -7x - 98810 = -94218", "Add 98810 to both sides: -7x = 4592", "Divide both sides by -7: x = -656"], "final_answer": "-656", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x - 3534) - 6926 = 33(x - 3080) + 7422", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 3534, \"c\": 6926, \"d\": 33, \"e\": 3080, \"f\": 7422}", "seed": "4954580100032413346", "semantic_fingerprint": "sha256:f073437adc51c2e0d010f4218c46c82a3b7df37d6e95c9fe0aaf439e41b790e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001121", "prompt": "Evaluate: 1206 / 41911", "solution_steps": ["Divide: 1206 / 41911 = 1206/41911"], "final_answer": "1206/41911", "answer_type": "rational", "kind": "expression", "math_text": "1206 / 41911", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1206, \"b\": 41911}", "seed": "18200652895498884737", "semantic_fingerprint": "sha256:7f47e9361106767b2697e179774e8fbefb855c6ac0abd67d65a22ac39b6dc50b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001122", "prompt": "Solve the equation x + 5423 = -28x for x.", "solution_steps": ["Add 28x to both sides: 29x + 5423 = 0", "Subtract 5423 from both sides: 29x = -5423", "Divide both sides by 29: x = -187"], "final_answer": "-187", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5423 = -28x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28, \"c\": 5423, \"x\": -187}", "seed": "3663342372283237973", "semantic_fingerprint": "sha256:285595b7f335369dc8258ab5c0db77f7cceef80dbea98903e40813cee26555d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001123", "prompt": "Calculate: -1987 - 37093", "solution_steps": ["Subtract: -1987 - 37093 = -39080"], "final_answer": "-39080", "answer_type": "integer", "kind": "expression", "math_text": "-1987 - 37093", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1987, \"b\": 37093}", "seed": "6871122415401575374", "semantic_fingerprint": "sha256:5b0dd8e76ba4fff4903bdaa159fead97439bf22d1fd8211a33325c432c3359a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001124", "prompt": "Compute: 27039 / 45306", "solution_steps": ["Divide: 27039 / 45306 = 9013/15102"], "final_answer": "9013/15102", "answer_type": "rational", "kind": "expression", "math_text": "27039 / 45306", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27039, \"b\": 45306}", "seed": "16398781815168469351", "semantic_fingerprint": "sha256:844eb789b2a5fbccdfb086d7aebdffddedad05f792e4808b5ac607d322599410", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001125", "prompt": "Solve for x: 21x + 69056 = -19x + 72336", "solution_steps": ["Add 19x to both sides: 40x + 69056 = 72336", "Subtract 69056 from both sides: 40x = 3280", "Divide both sides by 40: x = 82"], "final_answer": "82", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 69056 = -19x + 72336", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 69056, \"c\": -19, \"e\": 72336, \"x\": 82}", "seed": "495434402288842379", "semantic_fingerprint": "sha256:d547d07a6dd91ba8dae5760596afd9547cdc265fea7f2d2655f8393e46ab9a3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001126", "prompt": "Compute: -67294 + 9096", "solution_steps": ["Add: -67294 + 9096 = -58198"], "final_answer": "-58198", "answer_type": "integer", "kind": "expression", "math_text": "-67294 + 9096", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -67294, \"b\": 9096}", "seed": "18285507778878056696", "semantic_fingerprint": "sha256:ee8d6dbcb6f1259cd11fb6aafed5e35883bc9b5778e6a4f3a07d95eda044c9e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001127", "prompt": "Evaluate: 4867 - (-1414) - (-51895)", "solution_steps": ["Subtract: 4867 - (-1414) = 6281", "Subtract: 6281 - (-51895) = 58176"], "final_answer": "58176", "answer_type": "integer", "kind": "expression", "math_text": "4867 - (-1414) - (-51895)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4867, \"b\": -1414, \"c\": -51895}", "seed": "15965733147018912652", "semantic_fingerprint": "sha256:d81f374d0856fb169d87963988f4df5d2f2b9f7876093fe8ce9293c1905a37bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001128", "prompt": "Compute: 6304 - 42690 + (-5936 + (-88422) / (-55359))", "solution_steps": ["Subtract: 6304 - 42690 = -36386", "Divide: -88422 / (-55359) = 29474/18453", "Add: -5936 + 29474/18453 = -109507534/18453", "Add: -36386 + (-109507534/18453) = -780938392/18453"], "final_answer": "-780938392/18453", "answer_type": "rational", "kind": "expression", "math_text": "6304 - 42690 + (-5936 + (-88422) / (-55359))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6304, \"b\": 42690, \"c\": -5936, \"d\": -88422, \"e\": -55359}", "seed": "10865165893005502018", "semantic_fingerprint": "sha256:91f032bebc5062922c703c54b3d9a843642d71e9ef703f1f923e7f6fd65dab0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001129", "prompt": "Calculate: -50031 + (73777 * 5728 - (-72325)) / 5514", "solution_steps": ["Multiply: 73777 * 5728 = 422594656", "Subtract: 422594656 - (-72325) = 422666981", "Divide: 422666981 / 5514 = 422666981/5514", "Add: -50031 + 422666981/5514 = 146796047/5514"], "final_answer": "146796047/5514", "answer_type": "rational", "kind": "expression", "math_text": "-50031 + (73777 * 5728 - (-72325)) / 5514", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -50031, \"b\": 73777, \"c\": 5728, \"d\": -72325, \"e\": 5514}", "seed": "970367805315839807", "semantic_fingerprint": "sha256:f78fc6a7186f61bbf7813d9f8674c39bb0ffe76e7bccd033707d25d64ee7e825", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001130", "prompt": "Compute: 7805 / (-9025)", "solution_steps": ["Divide: 7805 / (-9025) = -1561/1805"], "final_answer": "-1561/1805", "answer_type": "rational", "kind": "expression", "math_text": "7805 / (-9025)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7805, \"b\": -9025}", "seed": "9129153682171581987", "semantic_fingerprint": "sha256:038d49e93feb9382c05e8128e6c2168f80e7bfaeb041eea725b9cc95c3bdef82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001131", "prompt": "Calculate: -25983 + 4742 - 7822 * (-5126 - 7353)", "solution_steps": ["Add: -25983 + 4742 = -21241", "Subtract: -5126 - 7353 = -12479", "Multiply: 7822 * (-12479) = -97610738", "Subtract: -21241 - (-97610738) = 97589497"], "final_answer": "97589497", "answer_type": "integer", "kind": "expression", "math_text": "-25983 + 4742 - 7822 * (-5126 - 7353)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25983, \"b\": 4742, \"c\": 7822, \"d\": -5126, \"e\": 7353}", "seed": "9926372658385898608", "semantic_fingerprint": "sha256:9a30e27e9b86421c14fefd48a863006bd4746b1f38ffbd2bcea673ebf4985a65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001132", "prompt": "Compute: -42009 + (-87260)", "solution_steps": ["Add: -42009 + (-87260) = -129269"], "final_answer": "-129269", "answer_type": "integer", "kind": "expression", "math_text": "-42009 + (-87260)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -42009, \"b\": -87260}", "seed": "10701680774534150027", "semantic_fingerprint": "sha256:de229221ad6d9c5a01fb051e51111ceeb540e8f11c2e53883d34015c289a65ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001133", "prompt": "Compute: (-27624 - (-75312)) / (-4523 - 2360)", "solution_steps": ["Subtract: -27624 - (-75312) = 47688", "Subtract: -4523 - 2360 = -6883", "Divide: 47688 / (-6883) = -47688/6883"], "final_answer": "-47688/6883", "answer_type": "rational", "kind": "expression", "math_text": "(-27624 - (-75312)) / (-4523 - 2360)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27624, \"b\": -75312, \"c\": -4523, \"d\": 2360}", "seed": "3438171038039840509", "semantic_fingerprint": "sha256:c4a96a5a688032d82e37447684c72080c322e81c0ff779a4efabdb9c398a0202", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001134", "prompt": "What is (35722 + (-58214)) * (85161 / 5359)?", "solution_steps": ["Add: 35722 + (-58214) = -22492", "Divide: 85161 / 5359 = 85161/5359", "Multiply: -22492 * (85161/5359) = -1915441212/5359"], "final_answer": "-1915441212/5359", "answer_type": "rational", "kind": "expression", "math_text": "(35722 + (-58214)) * (85161 / 5359)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35722, \"b\": -58214, \"c\": 85161, \"d\": 5359}", "seed": "4138002798224012893", "semantic_fingerprint": "sha256:fb1c185d034fa8c0b5a24a9f9250d24d07cd2a5b455e0912f601f69a5b5f3445", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001135", "prompt": "What is -4732 / 3738?", "solution_steps": ["Divide: -4732 / 3738 = -338/267"], "final_answer": "-338/267", "answer_type": "rational", "kind": "expression", "math_text": "-4732 / 3738", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4732, \"b\": 3738}", "seed": "6247515208127280984", "semantic_fingerprint": "sha256:827d070f853eea4ab28a75e0a3d6cee032c82c897ef0ea981da98e25adc5cda3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001136", "prompt": "Solve the equation 28x + 6123 = 34(x + 3049) - 98131 for x.", "solution_steps": ["Expand: 28x + 6123 = 34x + 103666 - 98131", "Combine constants: 28x + 6123 = 34x + 5535", "Subtract 34x from both sides: -6x + 6123 = 5535", "Subtract 6123 from both sides: -6x = -588", "Divide both sides by -6: x = 98"], "final_answer": "98", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 6123 = 34(x + 3049) - 98131", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 6123, \"c\": 34, \"d\": 3049, \"f\": -98131, \"x\": 98}", "seed": "13454716207478844537", "semantic_fingerprint": "sha256:207e58a44852929caff2312209bdb46c40c16f5051417d0eb46c49e9d38be0b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001137", "prompt": "Calculate: 86789 + (61192 + 23935 * 7396) + (63299 - 3016)", "solution_steps": ["Multiply: 23935 * 7396 = 177023260", "Add: 61192 + 177023260 = 177084452", "Add: 86789 + 177084452 = 177171241", "Subtract: 63299 - 3016 = 60283", "Add: 177171241 + 60283 = 177231524"], "final_answer": "177231524", "answer_type": "integer", "kind": "expression", "math_text": "86789 + (61192 + 23935 * 7396) + (63299 - 3016)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n (* n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 86789, \"b\": 61192, \"c\": 23935, \"d\": 7396, \"e\": 63299, \"f\": 3016}", "seed": "8047003541958616641", "semantic_fingerprint": "sha256:335737a70a0fb205eecda4a95ab2239e657823e09dafc0866db6c0e8c7ed957b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001138", "prompt": "Calculate: -95195 * (-9426 / (-1434)) + (-83573) + (-3709)", "solution_steps": ["Divide: -9426 / (-1434) = 1571/239", "Multiply: -95195 * (1571/239) = -149551345/239", "Add: -149551345/239 + (-83573) = -169525292/239", "Add: -169525292/239 + (-3709) = -170411743/239"], "final_answer": "-170411743/239", "answer_type": "rational", "kind": "expression", "math_text": "-95195 * (-9426 / (-1434)) + (-83573) + (-3709)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -95195, \"b\": -9426, \"c\": -1434, \"d\": -83573, \"e\": -3709}", "seed": "15947770181677223370", "semantic_fingerprint": "sha256:c991bb07743b048ce95884c9e58dc1863b3503a7977b06723088ee60c7af0c28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001139", "prompt": "Solve the equation 28x - 56924 = -61376 for x.", "solution_steps": ["Add 56924 to both sides: 28x = -4452", "Divide both sides by 28: x = -159"], "final_answer": "-159", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x - 56924 = -61376", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 56924, \"d\": -61376, \"x\": -159}", "seed": "4508717801751058532", "semantic_fingerprint": "sha256:03545acb5d0cbc145655781f3417db87a07f78742db9de1ce21cd62377d8d337", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001140", "prompt": "Evaluate: -2144 * (-60781)", "solution_steps": ["Multiply: -2144 * (-60781) = 130314464"], "final_answer": "130314464", "answer_type": "integer", "kind": "expression", "math_text": "-2144 * (-60781)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2144, \"b\": -60781}", "seed": "17933941315911719691", "semantic_fingerprint": "sha256:2365afea775b7111268e1fa8a9add20f7de0b30169311600c4f6df86665a6639", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001141", "prompt": "Calculate: 6040 + 3416", "solution_steps": ["Add: 6040 + 3416 = 9456"], "final_answer": "9456", "answer_type": "integer", "kind": "expression", "math_text": "6040 + 3416", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6040, \"b\": 3416}", "seed": "15916179544739356228", "semantic_fingerprint": "sha256:228f6d52042e57aad20553a8f5e275bef303babf3ef4c6b51c49806fbb5baf70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001142", "prompt": "Evaluate: 11575 * (-51146)", "solution_steps": ["Multiply: 11575 * (-51146) = -592014950"], "final_answer": "-592014950", "answer_type": "integer", "kind": "expression", "math_text": "11575 * (-51146)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 11575, \"b\": -51146}", "seed": "11062147695463834061", "semantic_fingerprint": "sha256:8965bebba27983f33bd1e504422715a389a41da43fe9a686efa6c4c07298dfce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001143", "prompt": "Evaluate: 2145 - 44084 - 21982", "solution_steps": ["Subtract: 2145 - 44084 = -41939", "Subtract: -41939 - 21982 = -63921"], "final_answer": "-63921", "answer_type": "integer", "kind": "expression", "math_text": "2145 - 44084 - 21982", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2145, \"b\": 44084, \"c\": 21982}", "seed": "18181515561550217281", "semantic_fingerprint": "sha256:c7f7f5452a38acb8fff43068569875ad9e0c435402035b29f8112365573a94ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001144", "prompt": "Evaluate: 5785 / (-4732 / (-4723)) * (-7471)", "solution_steps": ["Divide: -4732 / (-4723) = 4732/4723", "Divide: 5785 / (4732/4723) = 2101735/364", "Multiply: (2101735/364) * (-7471) = -15702062185/364"], "final_answer": "-15702062185/364", "answer_type": "rational", "kind": "expression", "math_text": "5785 / (-4732 / (-4723)) * (-7471)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5785, \"b\": -4732, \"c\": -4723, \"d\": -7471}", "seed": "4215229429810108414", "semantic_fingerprint": "sha256:9cefa1748a8a2de086adf487556223c69f27bd8f2aa602722a19d37aa7f403ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001145", "prompt": "What value of x satisfies 18x = 30x?", "solution_steps": ["Subtract 30x from both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = 30x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 30}", "seed": "4690882473191508125", "semantic_fingerprint": "sha256:74da47bc6c2fa54394d29c2b1f496981a3e26421eaa7c2053dba5d4d2ec06f86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001146", "prompt": "Find x: 14x + 3666 = -33x", "solution_steps": ["Add 33x to both sides: 47x + 3666 = 0", "Subtract 3666 from both sides: 47x = -3666", "Divide both sides by 47: x = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x + 3666 = -33x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": -33, \"d\": 3666, \"x\": -78}", "seed": "4865948410750070031", "semantic_fingerprint": "sha256:e38a38cd83b245360fade9b3e02b36d89c5fa922621d9fbfe2b43f560837f740", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001147", "prompt": "Find x: x + 33762 = -31(x - 2085) - 30137", "solution_steps": ["Expand: x + 33762 = -31x + 64635 - 30137", "Combine constants: x + 33762 = -31x + 34498", "Add 31x to both sides: 32x + 33762 = 34498", "Subtract 33762 from both sides: 32x = 736", "Divide both sides by 32: x = 23"], "final_answer": "23", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33762 = -31(x - 2085) - 30137", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33762, \"b\": -31, \"c\": 2085, \"e\": -30137, \"x\": 23}", "seed": "2344430959640015984", "semantic_fingerprint": "sha256:8511df3fcfc26a9116572c56869527111ab7bf16f218ad7dc3f6181fdf1b4a12", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001148", "prompt": "Compute: -9346 / 3771", "solution_steps": ["Divide: -9346 / 3771 = -9346/3771"], "final_answer": "-9346/3771", "answer_type": "rational", "kind": "expression", "math_text": "-9346 / 3771", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9346, \"b\": 3771}", "seed": "17968622301372465943", "semantic_fingerprint": "sha256:a58727731910042b1aaad09638b4230f2d19a1c195e59242c34bcc7149e5ed5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001149", "prompt": "What is -19997 + (-11678) / 5351 + (-26452)?", "solution_steps": ["Divide: -11678 / 5351 = -11678/5351", "Add: -19997 + (-11678/5351) = -107015625/5351", "Add: -107015625/5351 + (-26452) = -248560277/5351"], "final_answer": "-248560277/5351", "answer_type": "rational", "kind": "expression", "math_text": "-19997 + (-11678) / 5351 + (-26452)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19997, \"b\": -11678, \"c\": 5351, \"d\": -26452}", "seed": "8049974494623285258", "semantic_fingerprint": "sha256:d5fce8d641b516dec062cd3500cb97351f503b067a3c267c36810e050ca2967b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001150", "prompt": "What is 7360 - (-55676) + (79420 - (-1880) * 6123)?", "solution_steps": ["Subtract: 7360 - (-55676) = 63036", "Multiply: -1880 * 6123 = -11511240", "Subtract: 79420 - (-11511240) = 11590660", "Add: 63036 + 11590660 = 11653696"], "final_answer": "11653696", "answer_type": "integer", "kind": "expression", "math_text": "7360 - (-55676) + (79420 - (-1880) * 6123)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7360, \"b\": -55676, \"c\": 79420, \"d\": -1880, \"e\": 6123}", "seed": "5859374285014739607", "semantic_fingerprint": "sha256:81c12a348c34e3ebdc2fc887dc30f9795649535316fb0af711228215869d7d41", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001151", "prompt": "Compute: -39396 * 9564 * ((-8139 - (-82010)) / 94848)", "solution_steps": ["Multiply: -39396 * 9564 = -376783344", "Subtract: -8139 - (-82010) = 73871", "Divide: 73871 / 94848 = 73871/94848", "Multiply: -376783344 * (73871/94848) = -579861716763/1976"], "final_answer": "-579861716763/1976", "answer_type": "rational", "kind": "expression", "math_text": "-39396 * 9564 * ((-8139 - (-82010)) / 94848)", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -39396, \"b\": 9564, \"c\": -8139, \"d\": -82010, \"e\": 94848}", "seed": "16111069542079787766", "semantic_fingerprint": "sha256:5f44f54ce0c4c6bb11b99c9df8733ef3f8ab1e616ca69e16bfac514acafe62fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001152", "prompt": "What is -7486 + (-3160)?", "solution_steps": ["Add: -7486 + (-3160) = -10646"], "final_answer": "-10646", "answer_type": "integer", "kind": "expression", "math_text": "-7486 + (-3160)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7486, \"b\": -3160}", "seed": "5534401589801211446", "semantic_fingerprint": "sha256:95594d805ece9825c8149708953b91370d1caa591f9eddfab9614c4574a34c68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001153", "prompt": "Calculate: (-61957 - 94301) * (-12497 - (-30271) - 3873)", "solution_steps": ["Subtract: -61957 - 94301 = -156258", "Subtract: -12497 - (-30271) = 17774", "Subtract: 17774 - 3873 = 13901", "Multiply: -156258 * 13901 = -2172142458"], "final_answer": "-2172142458", "answer_type": "integer", "kind": "expression", "math_text": "(-61957 - 94301) * (-12497 - (-30271) - 3873)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -61957, \"b\": 94301, \"c\": -12497, \"d\": -30271, \"e\": 3873}", "seed": "236326519193767982", "semantic_fingerprint": "sha256:12c535eaad0ad1f24d13ba69b4212fb413d3ca3b6eaf2bb141fed8eae52073dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001154", "prompt": "What is -41262 - (-7290)?", "solution_steps": ["Subtract: -41262 - (-7290) = -33972"], "final_answer": "-33972", "answer_type": "integer", "kind": "expression", "math_text": "-41262 - (-7290)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -41262, \"b\": -7290}", "seed": "8516865245609975078", "semantic_fingerprint": "sha256:f307636d4435c03afa8ff966cad52ed87b378adc4d4370272d549887ea3fc064", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001155", "prompt": "Evaluate: 5912 * (-1549)", "solution_steps": ["Multiply: 5912 * (-1549) = -9157688"], "final_answer": "-9157688", "answer_type": "integer", "kind": "expression", "math_text": "5912 * (-1549)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5912, \"b\": -1549}", "seed": "7121760795258839872", "semantic_fingerprint": "sha256:1eaa6c5a397d613761e9306066b1e1c11c3d22128be50d16fb57146edc4f02a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001156", "prompt": "What is 8732 - 21824 * (-8833)?", "solution_steps": ["Multiply: 21824 * (-8833) = -192771392", "Subtract: 8732 - (-192771392) = 192780124"], "final_answer": "192780124", "answer_type": "integer", "kind": "expression", "math_text": "8732 - 21824 * (-8833)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8732, \"b\": 21824, \"c\": -8833}", "seed": "12291004061185881754", "semantic_fingerprint": "sha256:1ebfa2cc65807bbbdaec6379f1544b2ed19242a7353e25eb1104b5899de6aadb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001157", "prompt": "What is 9418 + 36025 * 40648?", "solution_steps": ["Multiply: 36025 * 40648 = 1464344200", "Add: 9418 + 1464344200 = 1464353618"], "final_answer": "1464353618", "answer_type": "integer", "kind": "expression", "math_text": "9418 + 36025 * 40648", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9418, \"b\": 36025, \"c\": 40648}", "seed": "17583369615178910775", "semantic_fingerprint": "sha256:2efe5dc5f940252832eb0601760d7f97ed825d4c888b0e834a73ea07574ca877", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001158", "prompt": "Solve for x: x - 8697 = 22x + 80678", "solution_steps": ["Subtract 22x from both sides: -21x - 8697 = 80678", "Add 8697 to both sides: -21x = 89375", "Divide both sides by -21: x = -89375/21"], "final_answer": "-89375/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8697 = 22x + 80678", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8697, \"b\": 22, \"c\": 80678}", "seed": "10403479421475390725", "semantic_fingerprint": "sha256:3287187a11f17c65c9442ca4deac8d574bf49412f26af61c37c7950949c8db17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001159", "prompt": "What value of x satisfies 34x = x?", "solution_steps": ["Subtract x from both sides: 33x = 0", "Divide both sides by 33: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34}", "seed": "10801936110536591819", "semantic_fingerprint": "sha256:958a7a84e6065913aa44e58cb165446503c9b48e004680aa97e27a5fc607ed9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001160", "prompt": "Evaluate: 35019 * 9222", "solution_steps": ["Multiply: 35019 * 9222 = 322945218"], "final_answer": "322945218", "answer_type": "integer", "kind": "expression", "math_text": "35019 * 9222", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 35019, \"b\": 9222}", "seed": "1051931292516536338", "semantic_fingerprint": "sha256:bb61759d2878697fc2ce3f30635b41c20a7350c048f6d897dca6e64180a0204e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001161", "prompt": "Evaluate: -7837 + (-85795) - (-84942) - (-64373)", "solution_steps": ["Add: -7837 + (-85795) = -93632", "Subtract: -93632 - (-84942) = -8690", "Subtract: -8690 - (-64373) = 55683"], "final_answer": "55683", "answer_type": "integer", "kind": "expression", "math_text": "-7837 + (-85795) - (-84942) - (-64373)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7837, \"b\": -85795, \"c\": -84942, \"d\": -64373}", "seed": "9909542105149081839", "semantic_fingerprint": "sha256:cef21462f1b1a8adc0c68e782e0adc1550cc59a70452feff514d2843b00f15cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001162", "prompt": "Calculate: -4261 / (-2594) * (-34236) - (-99828)", "solution_steps": ["Divide: -4261 / (-2594) = 4261/2594", "Multiply: (4261/2594) * (-34236) = -72939798/1297", "Subtract: -72939798/1297 - (-99828) = 56537118/1297"], "final_answer": "56537118/1297", "answer_type": "rational", "kind": "expression", "math_text": "-4261 / (-2594) * (-34236) - (-99828)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4261, \"b\": -2594, \"c\": -34236, \"d\": -99828}", "seed": "2266820798900994784", "semantic_fingerprint": "sha256:74ed1c0295b07b96ced73d6a9ebf389d8b2413dddecae44bbde8459149ced9eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001163", "prompt": "Solve for x: x + 97400 = 25x + 98144", "solution_steps": ["Subtract 25x from both sides: -24x + 97400 = 98144", "Subtract 97400 from both sides: -24x = 744", "Divide both sides by -24: x = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 97400 = 25x + 98144", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 97400, \"b\": 25, \"d\": 98144, \"x\": -31}", "seed": "1709211838010972924", "semantic_fingerprint": "sha256:b27d93d53d8361cd65ddf499e90fb6b089e1ba6f876fe97a9f991b555b437c88", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001164", "prompt": "Calculate: -2579 - (-9988)", "solution_steps": ["Subtract: -2579 - (-9988) = 7409"], "final_answer": "7409", "answer_type": "integer", "kind": "expression", "math_text": "-2579 - (-9988)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2579, \"b\": -9988}", "seed": "15670354960732429785", "semantic_fingerprint": "sha256:1ec7246bbad60d41d13b1ecad8ab2801309f4452159401c5e87af553f17a63cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001165", "prompt": "Calculate: -37314 * (-2996) + 7232", "solution_steps": ["Multiply: -37314 * (-2996) = 111792744", "Add: 111792744 + 7232 = 111799976"], "final_answer": "111799976", "answer_type": "integer", "kind": "expression", "math_text": "-37314 * (-2996) + 7232", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37314, \"b\": -2996, \"c\": 7232}", "seed": "11494963361366118228", "semantic_fingerprint": "sha256:87f2a882a7f40c87dede7503a095a358fd417b0800de868d41c95955f7ec69b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001166", "prompt": "What is -9044 * (7267 - 8833)?", "solution_steps": ["Subtract: 7267 - 8833 = -1566", "Multiply: -9044 * (-1566) = 14162904"], "final_answer": "14162904", "answer_type": "integer", "kind": "expression", "math_text": "-9044 * (7267 - 8833)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9044, \"b\": 7267, \"c\": 8833}", "seed": "6942740472477372054", "semantic_fingerprint": "sha256:77b44d4d67cd59aa2564619289f96437721f051c31324866f046eeff400ba346", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001167", "prompt": "Compute: (3628 / (9224 / 8513) - 5286) * (-6285)", "solution_steps": ["Divide: 9224 / 8513 = 9224/8513", "Divide: 3628 / (9224/8513) = 7721291/2306", "Subtract: 7721291/2306 - 5286 = -4468225/2306", "Multiply: (-4468225/2306) * (-6285) = 28082794125/2306"], "final_answer": "28082794125/2306", "answer_type": "rational", "kind": "expression", "math_text": "(3628 / (9224 / 8513) - 5286) * (-6285)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3628, \"b\": 9224, \"c\": 8513, \"d\": 5286, \"e\": -6285}", "seed": "18376753975959083986", "semantic_fingerprint": "sha256:5f61c8ef40bbcda7a5abf078f08900664fe3ca1bfbe23d93e5439a591030e872", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001168", "prompt": "Calculate: -3924 * 1604 / (99077 + (-8456)) + 9981", "solution_steps": ["Multiply: -3924 * 1604 = -6294096", "Add: 99077 + (-8456) = 90621", "Divide: -6294096 / 90621 = -699344/10069", "Add: -699344/10069 + 9981 = 99799345/10069"], "final_answer": "99799345/10069", "answer_type": "rational", "kind": "expression", "math_text": "-3924 * 1604 / (99077 + (-8456)) + 9981", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3924, \"b\": 1604, \"c\": 99077, \"d\": -8456, \"e\": 9981}", "seed": "6239602897209039964", "semantic_fingerprint": "sha256:58f3cf001e4237861d1b566246c19764f3daa9effa206315b069caa14a6a3736", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001169", "prompt": "Calculate: 30698 * (-77417)", "solution_steps": ["Multiply: 30698 * (-77417) = -2376547066"], "final_answer": "-2376547066", "answer_type": "integer", "kind": "expression", "math_text": "30698 * (-77417)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 30698, \"b\": -77417}", "seed": "13565986027291169380", "semantic_fingerprint": "sha256:4bd1e8b33ab393361f2e0c2571199a0ed00105913c2119cc0820b12bf6a4bcbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001170", "prompt": "Find x: 28x - 38202 = -43186", "solution_steps": ["Add 38202 to both sides: 28x = -4984", "Divide both sides by 28: x = -178"], "final_answer": "-178", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x - 38202 = -43186", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 38202, \"d\": -43186, \"x\": -178}", "seed": "14545836520178690627", "semantic_fingerprint": "sha256:bfe2306dfd597c1bda7cde02d99c289aa56a1954d9d60b06a8cf4a7d393108b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001171", "prompt": "Evaluate: 7085 - (-3780)", "solution_steps": ["Subtract: 7085 - (-3780) = 10865"], "final_answer": "10865", "answer_type": "integer", "kind": "expression", "math_text": "7085 - (-3780)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7085, \"b\": -3780}", "seed": "7510965734833618657", "semantic_fingerprint": "sha256:c521b61eee77fb72b03c1f5254158357546683b599844f5478d3eb2536409432", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001172", "prompt": "Solve the equation 30(x + 81355) - 5402 = x for x.", "solution_steps": ["Expand: 30x + 2440650 - 5402 = x", "Combine constants: 30x + 2435248 = x", "Subtract x from both sides: 29x + 2435248 = 0", "Subtract 2435248 from both sides: 29x = -2435248", "Divide both sides by 29: x = -2435248/29"], "final_answer": "-2435248/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 81355) - 5402 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 81355, \"c\": 5402}", "seed": "11698489265038531745", "semantic_fingerprint": "sha256:a8bdbdf70935617f9fd934952127523cb131e6088493b7c16a1aa140f4d7122e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001173", "prompt": "Compute: -9579 * (-48646)", "solution_steps": ["Multiply: -9579 * (-48646) = 465980034"], "final_answer": "465980034", "answer_type": "integer", "kind": "expression", "math_text": "-9579 * (-48646)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9579, \"b\": -48646}", "seed": "3288540280796653581", "semantic_fingerprint": "sha256:dbb282f0c6dffc0eef1692c07dc4e8ee3baa7440d2a25f11d730f9edf6ebd2ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001174", "prompt": "What is -1237 + (-5832 - 68883 + (-21625))?", "solution_steps": ["Subtract: -5832 - 68883 = -74715", "Add: -74715 + (-21625) = -96340", "Add: -1237 + (-96340) = -97577"], "final_answer": "-97577", "answer_type": "integer", "kind": "expression", "math_text": "-1237 + (-5832 - 68883 + (-21625))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1237, \"b\": -5832, \"c\": 68883, \"d\": -21625}", "seed": "13118324094661490377", "semantic_fingerprint": "sha256:fbf1f5e9734b3d40b2f213f663f402d29df69e47940f7e435aa6bba2cc4c3b8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001175", "prompt": "Calculate: -9083 + (-86631 - (-6263) - (-61378))", "solution_steps": ["Subtract: -86631 - (-6263) = -80368", "Subtract: -80368 - (-61378) = -18990", "Add: -9083 + (-18990) = -28073"], "final_answer": "-28073", "answer_type": "integer", "kind": "expression", "math_text": "-9083 + (-86631 - (-6263) - (-61378))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9083, \"b\": -86631, \"c\": -6263, \"d\": -61378}", "seed": "13379145295435891462", "semantic_fingerprint": "sha256:b11ee146f21b5673cbeaeecde8ea770b24f144fc6d5aed38daf1c4f7030f905e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001176", "prompt": "What value of x satisfies x + 2272 = 39x + 4691?", "solution_steps": ["Subtract 39x from both sides: -38x + 2272 = 4691", "Subtract 2272 from both sides: -38x = 2419", "Divide both sides by -38: x = -2419/38"], "final_answer": "-2419/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2272 = 39x + 4691", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2272, \"b\": 39, \"c\": 4691}", "seed": "8909033168622715082", "semantic_fingerprint": "sha256:43fa88ea54f18fd78b819a091cc96e91b202ecb3a121b429b47eb8a9cbcc02f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001177", "prompt": "Compute: (-43571 + (-3379 + 5471) + (-15713)) / 1856 + 66735", "solution_steps": ["Add: -3379 + 5471 = 2092", "Add: -43571 + 2092 = -41479", "Add: -41479 + (-15713) = -57192", "Divide: -57192 / 1856 = -7149/232", "Add: -7149/232 + 66735 = 15475371/232"], "final_answer": "15475371/232", "answer_type": "rational", "kind": "expression", "math_text": "(-43571 + (-3379 + 5471) + (-15713)) / 1856 + 66735", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ (+ n (+ n n)) n) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -43571, \"b\": -3379, \"c\": 5471, \"d\": -15713, \"e\": 1856, \"f\": 66735}", "seed": "7119468967153048825", "semantic_fingerprint": "sha256:1e7c955b30f14d5c6e2b1db9a52b757393ad4b32deaf3822e2cea38d0b2a819f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001178", "prompt": "What is (-5714 - 78995) / (-5677 + 36546)?", "solution_steps": ["Subtract: -5714 - 78995 = -84709", "Add: -5677 + 36546 = 30869", "Divide: -84709 / 30869 = -84709/30869"], "final_answer": "-84709/30869", "answer_type": "rational", "kind": "expression", "math_text": "(-5714 - 78995) / (-5677 + 36546)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5714, \"b\": 78995, \"c\": -5677, \"d\": 36546}", "seed": "6766282880698819332", "semantic_fingerprint": "sha256:30a50d6357e5e01eee6ec975ce4eb6a674845a9182a9dc827135e931f2dd63ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001179", "prompt": "Compute: -15485 / (59350 + 7946 + 63791) + (-59984)", "solution_steps": ["Add: 59350 + 7946 = 67296", "Add: 67296 + 63791 = 131087", "Divide: -15485 / 131087 = -15485/131087", "Add: -15485/131087 + (-59984) = -7863138093/131087"], "final_answer": "-7863138093/131087", "answer_type": "rational", "kind": "expression", "math_text": "-15485 / (59350 + 7946 + 63791) + (-59984)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15485, \"b\": 59350, \"c\": 7946, \"d\": 63791, \"e\": -59984}", "seed": "501706771899272213", "semantic_fingerprint": "sha256:ca88dfb66071fa5396e5a1ba58a97cd615a23d545b3e17393277815028095f04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001180", "prompt": "Compute: 3032 - (61182 + (-41738))", "solution_steps": ["Add: 61182 + (-41738) = 19444", "Subtract: 3032 - 19444 = -16412"], "final_answer": "-16412", "answer_type": "integer", "kind": "expression", "math_text": "3032 - (61182 + (-41738))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3032, \"b\": 61182, \"c\": -41738}", "seed": "2056095968676106218", "semantic_fingerprint": "sha256:b5abc54f2477a37b98b4c4deefddfb99ea6916e3a9f698d17abad0c466c26457", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001181", "prompt": "Evaluate: 9345 * 9957 - (9740 + 15048)", "solution_steps": ["Multiply: 9345 * 9957 = 93048165", "Add: 9740 + 15048 = 24788", "Subtract: 93048165 - 24788 = 93023377"], "final_answer": "93023377", "answer_type": "integer", "kind": "expression", "math_text": "9345 * 9957 - (9740 + 15048)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9345, \"b\": 9957, \"c\": 9740, \"d\": 15048}", "seed": "14514967289736357198", "semantic_fingerprint": "sha256:7d423da94410d04209bcc781b33dafc18348fc781a3dc2cc731327e37b13f53e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001182", "prompt": "Evaluate: 2306 * 4059 * 8085 - (-5387)", "solution_steps": ["Multiply: 2306 * 4059 = 9360054", "Multiply: 9360054 * 8085 = 75676036590", "Subtract: 75676036590 - (-5387) = 75676041977"], "final_answer": "75676041977", "answer_type": "integer", "kind": "expression", "math_text": "2306 * 4059 * 8085 - (-5387)", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2306, \"b\": 4059, \"c\": 8085, \"d\": -5387}", "seed": "18411842493492029206", "semantic_fingerprint": "sha256:4e40c7a34c695a02466ee8615d7579916b82beffff5bcfcf848f0f25b0cfcbab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001183", "prompt": "Compute: -80073 - 9127 + (6992 - (-9427) * 3081)", "solution_steps": ["Subtract: -80073 - 9127 = -89200", "Multiply: -9427 * 3081 = -29044587", "Subtract: 6992 - (-29044587) = 29051579", "Add: -89200 + 29051579 = 28962379"], "final_answer": "28962379", "answer_type": "integer", "kind": "expression", "math_text": "-80073 - 9127 + (6992 - (-9427) * 3081)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -80073, \"b\": 9127, \"c\": 6992, \"d\": -9427, \"e\": 3081}", "seed": "11703686184353521674", "semantic_fingerprint": "sha256:9ccd21fb7011593eec23b67f74c0d0ef2de9f7d2a2e14c77a03313480fb7d089", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001184", "prompt": "Solve the equation 31(x - 2424) + 3395 = 30x - 71796 for x.", "solution_steps": ["Expand: 31x - 75144 + 3395 = 30x - 71796", "Combine constants: 31x - 71749 = 30x - 71796", "Subtract 30x from both sides: x - 71749 = -71796", "Add 71749 to both sides: x = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x - 2424) + 3395 = 30x - 71796", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2424, \"c\": 3395, \"d\": 30, \"f\": -71796, \"x\": -47}", "seed": "15237354386794379315", "semantic_fingerprint": "sha256:61bda088b6661321445909ae7e8b9341a38469730f1f8016bdb65704eab76daf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001185", "prompt": "Solve for x: 16x = x - 41626", "solution_steps": ["Subtract x from both sides: 15x = -41626", "Divide both sides by 15: x = -41626/15"], "final_answer": "-41626/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x = x - 41626", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 41626}", "seed": "12134460281405483474", "semantic_fingerprint": "sha256:23f6b5770bcaaca72662db3b0d1f495daff51bffd4d18b1f7ec28b83d1eb8208", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001186", "prompt": "What value of x satisfies 14(x + 42683) = -33x?", "solution_steps": ["Expand: 14x + 597562 = -33x", "Add 33x to both sides: 47x + 597562 = 0", "Subtract 597562 from both sides: 47x = -597562", "Divide both sides by 47: x = -597562/47"], "final_answer": "-597562/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 42683) = -33x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 42683, \"c\": -33}", "seed": "18369859630253257909", "semantic_fingerprint": "sha256:ae7398e44414d28b0f7e374f40a1bfa998ce69f55b4ef6d496aac65811cf2903", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001187", "prompt": "What value of x satisfies 27(x + 66571) = 22(x + 25690) - 9766?", "solution_steps": ["Expand: 27x + 1797417 = 22(x + 25690) - 9766", "Expand: 27x + 1797417 = 22x + 565180 - 9766", "Combine constants: 27x + 1797417 = 22x + 555414", "Subtract 22x from both sides: 5x + 1797417 = 555414", "Subtract 1797417 from both sides: 5x = -1242003", "Divide both sides by 5: x = -1242003/5"], "final_answer": "-1242003/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 66571) = 22(x + 25690) - 9766", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 66571, \"c\": 22, \"d\": 25690, \"e\": 9766}", "seed": "10977647725094623898", "semantic_fingerprint": "sha256:b0ff8ea1c4c3f90c1adb87398496c660731e5359a9bf778d9dd8f552c29c25b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001188", "prompt": "Solve the equation 32x = 26(x + 5422) for x.", "solution_steps": ["Expand: 32x = 26x + 140972", "Subtract 26x from both sides: 6x = 140972", "Divide both sides by 6: x = 70486/3"], "final_answer": "70486/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x = 26(x + 5422)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 26, \"c\": 5422}", "seed": "16652157827356574067", "semantic_fingerprint": "sha256:af3916c1bbfab3705ad53bb62f6f562c0ad886361694395dc33779dfe0584b0f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001189", "prompt": "Find x: x - 18412 = 34x - 20656", "solution_steps": ["Subtract 34x from both sides: -33x - 18412 = -20656", "Add 18412 to both sides: -33x = -2244", "Divide both sides by -33: x = 68"], "final_answer": "68", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 18412 = 34x - 20656", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18412, \"b\": 34, \"d\": -20656, \"x\": 68}", "seed": "11490672666332637292", "semantic_fingerprint": "sha256:50f9e8c30e9bd7cab6c7f8727676360d9aea5fb36ea6a684887bd818d27b1d2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001190", "prompt": "Compute: (3126 - (-9916)) / (1048 - (-53245 + (-4850)))", "solution_steps": ["Subtract: 3126 - (-9916) = 13042", "Add: -53245 + (-4850) = -58095", "Subtract: 1048 - (-58095) = 59143", "Divide: 13042 / 59143 = 13042/59143"], "final_answer": "13042/59143", "answer_type": "rational", "kind": "expression", "math_text": "(3126 - (-9916)) / (1048 - (-53245 + (-4850)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3126, \"b\": -9916, \"c\": 1048, \"d\": -53245, \"e\": -4850}", "seed": "952250740677103228", "semantic_fingerprint": "sha256:5913181db6e523591402bebe4ec3af8cd862a8b6901a6b42e7a07321cdd05e5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001191", "prompt": "Find x: 23(x - 16620) = -24x", "solution_steps": ["Expand: 23x - 382260 = -24x", "Add 24x to both sides: 47x - 382260 = 0", "Add 382260 to both sides: 47x = 382260", "Divide both sides by 47: x = 382260/47"], "final_answer": "382260/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 16620) = -24x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 16620, \"c\": -24}", "seed": "12585080758070417145", "semantic_fingerprint": "sha256:cc9c6d892aa08557f943195719cf1f8a303995e9990e1293b52c108d70188a2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001192", "prompt": "Calculate: 44801 * 5185 * 3383", "solution_steps": ["Multiply: 44801 * 5185 = 232293185", "Multiply: 232293185 * 3383 = 785847844855"], "final_answer": "785847844855", "answer_type": "integer", "kind": "expression", "math_text": "44801 * 5185 * 3383", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44801, \"b\": 5185, \"c\": 3383}", "seed": "12292427242834275556", "semantic_fingerprint": "sha256:5f2cb7321537cc2ae747d2c7a5343fc44fa96a42cb9986fb55af2765672bd9a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001193", "prompt": "Compute: 32216 / (16174 / 4357)", "solution_steps": ["Divide: 16174 / 4357 = 16174/4357", "Divide: 32216 / (16174/4357) = 70182556/8087"], "final_answer": "70182556/8087", "answer_type": "rational", "kind": "expression", "math_text": "32216 / (16174 / 4357)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32216, \"b\": 16174, \"c\": 4357}", "seed": "6928265963652036570", "semantic_fingerprint": "sha256:67837d8f11683bcb7cf0f04ccc58cf6a4f3ff70c3b090efdc7b925e9daaecf83", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001194", "prompt": "Solve the equation 39(x + 20620) - 9954 = 20(x - 4768) + 65600 for x.", "solution_steps": ["Expand: 39x + 804180 - 9954 = 20(x - 4768) + 65600", "Expand: 39x + 804180 - 9954 = 20x - 95360 + 65600", "Combine constants: 39x + 794226 = 20x - 95360 + 65600", "Combine constants: 39x + 794226 = 20x - 29760", "Subtract 20x from both sides: 19x + 794226 = -29760", "Subtract 794226 from both sides: 19x = -823986", "Divide both sides by 19: x = -823986/19"], "final_answer": "-823986/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 20620) - 9954 = 20(x - 4768) + 65600", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 20620, \"c\": 9954, \"d\": 20, \"e\": 4768, \"f\": 65600}", "seed": "16985613008711167520", "semantic_fingerprint": "sha256:739dfbcde1ed36adf0a999fcde16552f36413b609f0fec1f402a109908963445", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001195", "prompt": "Evaluate: (84123 - 2232) / (-99061) * 8021", "solution_steps": ["Subtract: 84123 - 2232 = 81891", "Divide: 81891 / (-99061) = -81891/99061", "Multiply: (-81891/99061) * 8021 = -656847711/99061"], "final_answer": "-656847711/99061", "answer_type": "rational", "kind": "expression", "math_text": "(84123 - 2232) / (-99061) * 8021", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84123, \"b\": 2232, \"c\": -99061, \"d\": 8021}", "seed": "15882199388908568757", "semantic_fingerprint": "sha256:e9006c6c99586a5598bdea57c37fa1fa75d5deefeeaf2fb9efac6b63736fce93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001196", "prompt": "Solve the equation 40(x - 83889) = 16(x - 7983) for x.", "solution_steps": ["Expand: 40x - 3355560 = 16(x - 7983)", "Expand: 40x - 3355560 = 16x - 127728", "Subtract 16x from both sides: 24x - 3355560 = -127728", "Add 3355560 to both sides: 24x = 3227832", "Divide both sides by 24: x = 134493"], "final_answer": "134493", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 83889) = 16(x - 7983)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 83889, \"c\": 16, \"d\": 7983}", "seed": "9315653603162805545", "semantic_fingerprint": "sha256:91e97b316f0402c0a7b0048a1de52b777e496081d57d2b3f4440efd9fb80d85c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001197", "prompt": "Evaluate: 6563 - (-73464 + (-7135))", "solution_steps": ["Add: -73464 + (-7135) = -80599", "Subtract: 6563 - (-80599) = 87162"], "final_answer": "87162", "answer_type": "integer", "kind": "expression", "math_text": "6563 - (-73464 + (-7135))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6563, \"b\": -73464, \"c\": -7135}", "seed": "5989618104946549369", "semantic_fingerprint": "sha256:11ade95df7a4430278e8fe717afa47e3168a31a6673eec47ea59fdaed03924da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001198", "prompt": "Calculate: -1553 + (-2841) / (88563 + 8563)", "solution_steps": ["Add: 88563 + 8563 = 97126", "Divide: -2841 / 97126 = -2841/97126", "Add: -1553 + (-2841/97126) = -150839519/97126"], "final_answer": "-150839519/97126", "answer_type": "rational", "kind": "expression", "math_text": "-1553 + (-2841) / (88563 + 8563)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1553, \"b\": -2841, \"c\": 88563, \"d\": 8563}", "seed": "14689982996113920554", "semantic_fingerprint": "sha256:3e682827c24cd00de54e62e6b5dd0f5af954c65a85c4f52df27da709b1d4e7b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001199", "prompt": "Find x: x + 57545 = 38x - 4521", "solution_steps": ["Subtract 38x from both sides: -37x + 57545 = -4521", "Subtract 57545 from both sides: -37x = -62066", "Divide both sides by -37: x = 62066/37"], "final_answer": "62066/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 57545 = 38x - 4521", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 57545, \"b\": 38, \"c\": 4521}", "seed": "16426815184232764512", "semantic_fingerprint": "sha256:912c28154183fbbe3e4d58e7f0b07f8ce7963c12e17d583189faf28c835cab32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001200", "prompt": "Find x: 19(x - 3565) - 2866 = -24x - 66817", "solution_steps": ["Expand: 19x - 67735 - 2866 = -24x - 66817", "Combine constants: 19x - 70601 = -24x - 66817", "Add 24x to both sides: 43x - 70601 = -66817", "Add 70601 to both sides: 43x = 3784", "Divide both sides by 43: x = 88"], "final_answer": "88", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 3565) - 2866 = -24x - 66817", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3565, \"c\": 2866, \"d\": -24, \"f\": -66817, \"x\": 88}", "seed": "2318533821078234973", "semantic_fingerprint": "sha256:3cbd9cbd785c4c4f4422abb3fc43f89e7744f5224421737274d39dea800fe80c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001201", "prompt": "Calculate: -7525 - (15701 + (-7169))", "solution_steps": ["Add: 15701 + (-7169) = 8532", "Subtract: -7525 - 8532 = -16057"], "final_answer": "-16057", "answer_type": "integer", "kind": "expression", "math_text": "-7525 - (15701 + (-7169))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7525, \"b\": 15701, \"c\": -7169}", "seed": "15776296891662235834", "semantic_fingerprint": "sha256:32ae56b279ba674e11f2db7acb61b7709b58af39f6e74e3ca9bcb6a78cab6694", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001202", "prompt": "Solve for x: 39x = 24(x + 19575)", "solution_steps": ["Expand: 39x = 24x + 469800", "Subtract 24x from both sides: 15x = 469800", "Divide both sides by 15: x = 31320"], "final_answer": "31320", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = 24(x + 19575)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 24, \"c\": 19575}", "seed": "5308883453218780831", "semantic_fingerprint": "sha256:3452da453d078f717ab6674e72e3303d33399548c0e9643a2ca0ad60aa1bd211", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001203", "prompt": "Solve for x: x + 5031 = 40x", "solution_steps": ["Subtract 40x from both sides: -39x + 5031 = 0", "Subtract 5031 from both sides: -39x = -5031", "Divide both sides by -39: x = 129"], "final_answer": "129", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5031 = 40x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": 5031, \"x\": 129}", "seed": "3761148685930910474", "semantic_fingerprint": "sha256:27186b2085459f29eed4c300841312e6f0388fb9470f7b049bef58e79033af65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001204", "prompt": "Solve for x: 23(x - 25358) - 8928 = -36(x - 5425) + 37997", "solution_steps": ["Expand: 23x - 583234 - 8928 = -36(x - 5425) + 37997", "Expand: 23x - 583234 - 8928 = -36x + 195300 + 37997", "Combine constants: 23x - 592162 = -36x + 195300 + 37997", "Combine constants: 23x - 592162 = -36x + 233297", "Add 36x to both sides: 59x - 592162 = 233297", "Add 592162 to both sides: 59x = 825459", "Divide both sides by 59: x = 825459/59"], "final_answer": "825459/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 25358) - 8928 = -36(x - 5425) + 37997", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 25358, \"c\": 8928, \"d\": -36, \"e\": 5425, \"f\": 37997}", "seed": "2386638174533307049", "semantic_fingerprint": "sha256:b60f2aebffbb9c1d8abb77d06561221a74a6afb89da868d25a3e5069d422988c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001205", "prompt": "Find x: 31(x - 1687) + 75584 = x + 20557", "solution_steps": ["Expand: 31x - 52297 + 75584 = x + 20557", "Combine constants: 31x + 23287 = x + 20557", "Subtract x from both sides: 30x + 23287 = 20557", "Subtract 23287 from both sides: 30x = -2730", "Divide both sides by 30: x = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x - 1687) + 75584 = x + 20557", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 1687, \"c\": 75584, \"e\": 20557, \"x\": -91}", "seed": "15720400331668696102", "semantic_fingerprint": "sha256:2329e643c819cf6fae7f313b6ee47378a730de7c224f40e66af47a66bf6b94d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001206", "prompt": "Compute: (-5825 - (-5977)) * (-81211) / 45918", "solution_steps": ["Subtract: -5825 - (-5977) = 152", "Multiply: 152 * (-81211) = -12344072", "Divide: -12344072 / 45918 = -6172036/22959"], "final_answer": "-6172036/22959", "answer_type": "rational", "kind": "expression", "math_text": "(-5825 - (-5977)) * (-81211) / 45918", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5825, \"b\": -5977, \"c\": -81211, \"d\": 45918}", "seed": "11659528582318916538", "semantic_fingerprint": "sha256:bda5e9685f20f9cf42ba6502e449233693d4b0a8d34cfad3e19d78a0fd5f10e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001207", "prompt": "What is -96156 + (-6644)?", "solution_steps": ["Add: -96156 + (-6644) = -102800"], "final_answer": "-102800", "answer_type": "integer", "kind": "expression", "math_text": "-96156 + (-6644)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -96156, \"b\": -6644}", "seed": "11784522632833745438", "semantic_fingerprint": "sha256:a4c5de0fee3c003c0e38d347ac7c4444d446a6b55441bef758405e177c3bf58a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001208", "prompt": "What is -1935 * ((-4549 - (-18455)) / (36315 - 4602))?", "solution_steps": ["Subtract: -4549 - (-18455) = 13906", "Subtract: 36315 - 4602 = 31713", "Divide: 13906 / 31713 = 13906/31713", "Multiply: -1935 * (13906/31713) = -8969370/10571"], "final_answer": "-8969370/10571", "answer_type": "rational", "kind": "expression", "math_text": "-1935 * ((-4549 - (-18455)) / (36315 - 4602))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1935, \"b\": -4549, \"c\": -18455, \"d\": 36315, \"e\": 4602}", "seed": "11797451945638041979", "semantic_fingerprint": "sha256:7dab788ee550c2fae25d55423ffde9036219a5ebec748c1512bbb447b7b2cf47", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001209", "prompt": "Compute: 2604 / 58537", "solution_steps": ["Divide: 2604 / 58537 = 2604/58537"], "final_answer": "2604/58537", "answer_type": "rational", "kind": "expression", "math_text": "2604 / 58537", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2604, \"b\": 58537}", "seed": "12577147055972010899", "semantic_fingerprint": "sha256:fcdcc198723faba9746cc5586cffaa0c1f547b299fe2618ea2a794f0a63ecff3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001210", "prompt": "Evaluate: -31509 / (7086 - (-59473))", "solution_steps": ["Subtract: 7086 - (-59473) = 66559", "Divide: -31509 / 66559 = -31509/66559"], "final_answer": "-31509/66559", "answer_type": "rational", "kind": "expression", "math_text": "-31509 / (7086 - (-59473))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31509, \"b\": 7086, \"c\": -59473}", "seed": "3623642231929365752", "semantic_fingerprint": "sha256:062c99c06df1804f6ad59bbd07ba2e01fd71754206b02f5e60a1d6df91cb715a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001211", "prompt": "What is 2152 * (46359 - (-30975)) / 3321?", "solution_steps": ["Subtract: 46359 - (-30975) = 77334", "Multiply: 2152 * 77334 = 166422768", "Divide: 166422768 / 3321 = 55474256/1107"], "final_answer": "55474256/1107", "answer_type": "rational", "kind": "expression", "math_text": "2152 * (46359 - (-30975)) / 3321", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2152, \"b\": 46359, \"c\": -30975, \"d\": 3321}", "seed": "6701227479142770316", "semantic_fingerprint": "sha256:5a06ca1283ffd78d6d97120eb4aa5fc9f866d91f63c21586a3be2bc1e30834db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001212", "prompt": "Calculate: -4427 / (-7311 + (-4832))", "solution_steps": ["Add: -7311 + (-4832) = -12143", "Divide: -4427 / (-12143) = 4427/12143"], "final_answer": "4427/12143", "answer_type": "rational", "kind": "expression", "math_text": "-4427 / (-7311 + (-4832))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4427, \"b\": -7311, \"c\": -4832}", "seed": "2712702635664234445", "semantic_fingerprint": "sha256:bc9ea7ee25f2fcb963f0b012fd3070694e64f2a4737ee23cf86816810c2d7dbb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001213", "prompt": "Find x: x = 34x + 6329", "solution_steps": ["Subtract 34x from both sides: -33x = 6329", "Divide both sides by -33: x = -6329/33"], "final_answer": "-6329/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 34x + 6329", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 6329}", "seed": "13958864496801921380", "semantic_fingerprint": "sha256:dd7ad1e5bdfa9b143d1f1963792d59a71be1e739c297c5e38c35b3ff1ad66c8b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001214", "prompt": "Calculate: -77365 + (96747 + (-16335) + 22583 - (-8198))", "solution_steps": ["Add: 96747 + (-16335) = 80412", "Add: 80412 + 22583 = 102995", "Subtract: 102995 - (-8198) = 111193", "Add: -77365 + 111193 = 33828"], "final_answer": "33828", "answer_type": "integer", "kind": "expression", "math_text": "-77365 + (96747 + (-16335) + 22583 - (-8198))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -77365, \"b\": 96747, \"c\": -16335, \"d\": 22583, \"e\": -8198}", "seed": "11629094377463846781", "semantic_fingerprint": "sha256:964a027059d941daf5bce514b2c77f0ada186f95ecaf5d2b480ba437e29e8bc9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001215", "prompt": "Evaluate: -2693 / (50276 + 26343)", "solution_steps": ["Add: 50276 + 26343 = 76619", "Divide: -2693 / 76619 = -2693/76619"], "final_answer": "-2693/76619", "answer_type": "rational", "kind": "expression", "math_text": "-2693 / (50276 + 26343)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2693, \"b\": 50276, \"c\": 26343}", "seed": "13143379662332702365", "semantic_fingerprint": "sha256:3a5f6bfc09553509bff969bcb47177963276a96d28425277c6dc7ec72ac1f567", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001216", "prompt": "Evaluate: 1669 / 42910 * (76063 * (-8547 - (-6525)))", "solution_steps": ["Divide: 1669 / 42910 = 1669/42910", "Subtract: -8547 - (-6525) = -2022", "Multiply: 76063 * (-2022) = -153799386", "Multiply: (1669/42910) * (-153799386) = -128345587617/21455"], "final_answer": "-128345587617/21455", "answer_type": "rational", "kind": "expression", "math_text": "1669 / 42910 * (76063 * (-8547 - (-6525)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1669, \"b\": 42910, \"c\": 76063, \"d\": -8547, \"e\": -6525}", "seed": "8594653579101683680", "semantic_fingerprint": "sha256:35add70244cc6d1593a22f8d8594370cdc70054a866593d4d41af0a72f496d18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001217", "prompt": "Calculate: -9082 / 1490 + (-28854)", "solution_steps": ["Divide: -9082 / 1490 = -4541/745", "Add: -4541/745 + (-28854) = -21500771/745"], "final_answer": "-21500771/745", "answer_type": "rational", "kind": "expression", "math_text": "-9082 / 1490 + (-28854)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9082, \"b\": 1490, \"c\": -28854}", "seed": "9169744907724209091", "semantic_fingerprint": "sha256:6227bcb9c7f0e8fef05ca66743e5913f151d0c5739a77d6c6458cc7a9e3e4b53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001218", "prompt": "What is 1164 * (1911 / (-91651) - (-8996 + 1344) + 9116)?", "solution_steps": ["Divide: 1911 / (-91651) = -273/13093", "Add: -8996 + 1344 = -7652", "Subtract: -273/13093 - (-7652) = 100187363/13093", "Add: 100187363/13093 + 9116 = 219543151/13093", "Multiply: 1164 * (219543151/13093) = 255548227764/13093"], "final_answer": "255548227764/13093", "answer_type": "rational", "kind": "expression", "math_text": "1164 * (1911 / (-91651) - (-8996 + 1344) + 9116)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- (/ n n) (+ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1164, \"b\": 1911, \"c\": -91651, \"d\": -8996, \"e\": 1344, \"f\": 9116}", "seed": "7713735761275369963", "semantic_fingerprint": "sha256:628e23b67a2bcb3a948ceadba05ce36a869b21e729da8a2352a823af8d6c1ead", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001219", "prompt": "Calculate: 78430 + 9108 + (-2727)", "solution_steps": ["Add: 78430 + 9108 = 87538", "Add: 87538 + (-2727) = 84811"], "final_answer": "84811", "answer_type": "integer", "kind": "expression", "math_text": "78430 + 9108 + (-2727)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 78430, \"b\": 9108, \"c\": -2727}", "seed": "13416279761564001743", "semantic_fingerprint": "sha256:3a5bd28809caaf357e20c539dc526a0c1fb9a5b30533f9e59d8a389004e148ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001220", "prompt": "Compute: (-9694 - (-3918)) / (-17515)", "solution_steps": ["Subtract: -9694 - (-3918) = -5776", "Divide: -5776 / (-17515) = 5776/17515"], "final_answer": "5776/17515", "answer_type": "rational", "kind": "expression", "math_text": "(-9694 - (-3918)) / (-17515)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9694, \"b\": -3918, \"c\": -17515}", "seed": "9583045210467218823", "semantic_fingerprint": "sha256:d91c9554d9ec09c6a457b7bb4e8a6e8945f8fe5783d8d7a093bd25de198a62fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001221", "prompt": "Evaluate: 1271 / (-4013) - 38649", "solution_steps": ["Divide: 1271 / (-4013) = -1271/4013", "Subtract: -1271/4013 - 38649 = -155099708/4013"], "final_answer": "-155099708/4013", "answer_type": "rational", "kind": "expression", "math_text": "1271 / (-4013) - 38649", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1271, \"b\": -4013, \"c\": 38649}", "seed": "10193939413493888606", "semantic_fingerprint": "sha256:f8adc076cee460ad6edfa3e25e7b30d11ee6aa6a6ddfd4a02c8c713fb6c00cec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001222", "prompt": "Find x: x + 23735 = 23694", "solution_steps": ["Subtract 23735 from both sides: x = -41"], "final_answer": "-41", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 23735 = 23694", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23735, \"c\": 23694, \"x\": -41}", "seed": "3510316124608417356", "semantic_fingerprint": "sha256:737524a58c0a1e9f0f3bdcd44b57848d14bf73dc9ea5f6d0eade996b6f42182f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001223", "prompt": "What value of x satisfies 40(x - 2509) + 42596 = -54284?", "solution_steps": ["Expand: 40x - 100360 + 42596 = -54284", "Combine constants: 40x - 57764 = -54284", "Add 57764 to both sides: 40x = 3480", "Divide both sides by 40: x = 87"], "final_answer": "87", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 2509) + 42596 = -54284", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 2509, \"c\": 42596, \"e\": -54284, \"x\": 87}", "seed": "7412749710220294670", "semantic_fingerprint": "sha256:202838ee275c1c19366f6c103e11f892b18341d1a5d3885507260eae814c5716", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001224", "prompt": "Compute: 4610 + (-3760 - 51148)", "solution_steps": ["Subtract: -3760 - 51148 = -54908", "Add: 4610 + (-54908) = -50298"], "final_answer": "-50298", "answer_type": "integer", "kind": "expression", "math_text": "4610 + (-3760 - 51148)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4610, \"b\": -3760, \"c\": 51148}", "seed": "16442173267750553871", "semantic_fingerprint": "sha256:c630d71430b4e62bae60a98c0f9c83a8f35b5387acfb242c16f39eb21d762417", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001225", "prompt": "What is 5022 - 89501 + 51413?", "solution_steps": ["Subtract: 5022 - 89501 = -84479", "Add: -84479 + 51413 = -33066"], "final_answer": "-33066", "answer_type": "integer", "kind": "expression", "math_text": "5022 - 89501 + 51413", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5022, \"b\": 89501, \"c\": 51413}", "seed": "17742867572208543135", "semantic_fingerprint": "sha256:a7234749343d05ebd62a79d4f64ea575e519f7784953d7d35d193d770d541c62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001226", "prompt": "Compute: -50744 + (-97053)", "solution_steps": ["Add: -50744 + (-97053) = -147797"], "final_answer": "-147797", "answer_type": "integer", "kind": "expression", "math_text": "-50744 + (-97053)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -50744, \"b\": -97053}", "seed": "4132376174450944392", "semantic_fingerprint": "sha256:4939f1810faf9aa4f300cba3988e579275ef1d115ea596cfa96e050bfc549cab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001227", "prompt": "Solve the equation x - 24197 = 20x + 8802 for x.", "solution_steps": ["Subtract 20x from both sides: -19x - 24197 = 8802", "Add 24197 to both sides: -19x = 32999", "Divide both sides by -19: x = -32999/19"], "final_answer": "-32999/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 24197 = 20x + 8802", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24197, \"b\": 20, \"c\": 8802}", "seed": "15947192190962963644", "semantic_fingerprint": "sha256:21e67bbbc0c9f5cdb87e9787afcf94518ae3f91ad35f7654dace7d505bb50ba8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001228", "prompt": "What value of x satisfies 15(x + 39308) = -15815?", "solution_steps": ["Expand: 15x + 589620 = -15815", "Subtract 589620 from both sides: 15x = -605435", "Divide both sides by 15: x = -121087/3"], "final_answer": "-121087/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 39308) = -15815", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 39308, \"c\": -15815}", "seed": "18271945514891688016", "semantic_fingerprint": "sha256:ee1d7f743617756d051c0398a2e493ce2cc18985b8163181a13ffc2db53fed9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001229", "prompt": "What value of x satisfies 26(x + 9643) = x - 65101?", "solution_steps": ["Expand: 26x + 250718 = x - 65101", "Subtract x from both sides: 25x + 250718 = -65101", "Subtract 250718 from both sides: 25x = -315819", "Divide both sides by 25: x = -315819/25"], "final_answer": "-315819/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 9643) = x - 65101", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 9643, \"c\": 65101}", "seed": "15325930304055259964", "semantic_fingerprint": "sha256:8e0cc303430841bad3a85e19e06b9d4569dc27cd004785e443545ac570d52454", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001230", "prompt": "Find x: -17x - 70655 = 20(x + 5806)", "solution_steps": ["Expand: -17x - 70655 = 20x + 116120", "Subtract 20x from both sides: -37x - 70655 = 116120", "Add 70655 to both sides: -37x = 186775", "Divide both sides by -37: x = -186775/37"], "final_answer": "-186775/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x - 70655 = 20(x + 5806)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 70655, \"c\": 20, \"d\": 5806}", "seed": "13174901437962260680", "semantic_fingerprint": "sha256:9dde5f8c97ab240ab5e5426fc8e4d7fdd409837722aa808d421dd6fa8467150b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001231", "prompt": "Evaluate: (71398 + 8701) / (-5352 - 19821)", "solution_steps": ["Add: 71398 + 8701 = 80099", "Subtract: -5352 - 19821 = -25173", "Divide: 80099 / (-25173) = -80099/25173"], "final_answer": "-80099/25173", "answer_type": "rational", "kind": "expression", "math_text": "(71398 + 8701) / (-5352 - 19821)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 71398, \"b\": 8701, \"c\": -5352, \"d\": 19821}", "seed": "18748735331244695", "semantic_fingerprint": "sha256:95d87c694a05480acc29d104b9d2378958b18efcfc0330fb64db86967abd6445", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001232", "prompt": "What is -8217 + (-9898)?", "solution_steps": ["Add: -8217 + (-9898) = -18115"], "final_answer": "-18115", "answer_type": "integer", "kind": "expression", "math_text": "-8217 + (-9898)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8217, \"b\": -9898}", "seed": "13345995782479144373", "semantic_fingerprint": "sha256:622c0a4ace7ffb6606ecff32f0ed643798899e3e2b89487c1948e2d33ffdedba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001233", "prompt": "Compute: -44893 / (9789 / (-1406))", "solution_steps": ["Divide: 9789 / (-1406) = -9789/1406", "Divide: -44893 / (-9789/1406) = 63119558/9789"], "final_answer": "63119558/9789", "answer_type": "rational", "kind": "expression", "math_text": "-44893 / (9789 / (-1406))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -44893, \"b\": 9789, \"c\": -1406}", "seed": "816963739551089375", "semantic_fingerprint": "sha256:1b0a537c71cbb059a9a5512b996d59bae17f68c92aba00445cdef4a4c1d4b81d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001234", "prompt": "Compute: 7615 - 90891", "solution_steps": ["Subtract: 7615 - 90891 = -83276"], "final_answer": "-83276", "answer_type": "integer", "kind": "expression", "math_text": "7615 - 90891", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7615, \"b\": 90891}", "seed": "9795927335605701698", "semantic_fingerprint": "sha256:341c9fc1be1dfc2984b4eb4c56b65d9f268bf16684913838ff625bd425211efa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001235", "prompt": "Calculate: -2400 - 88884", "solution_steps": ["Subtract: -2400 - 88884 = -91284"], "final_answer": "-91284", "answer_type": "integer", "kind": "expression", "math_text": "-2400 - 88884", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2400, \"b\": 88884}", "seed": "10992053451619144597", "semantic_fingerprint": "sha256:8529af9eea5475880a7caf48036b9fc4873e39457da96b78b31395c28149c583", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001236", "prompt": "Compute: 96073 - (-33690) * (-4252)", "solution_steps": ["Multiply: -33690 * (-4252) = 143249880", "Subtract: 96073 - 143249880 = -143153807"], "final_answer": "-143153807", "answer_type": "integer", "kind": "expression", "math_text": "96073 - (-33690) * (-4252)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96073, \"b\": -33690, \"c\": -4252}", "seed": "392533198682446213", "semantic_fingerprint": "sha256:af7181b4accff237b929a5a95df19babdf8d95002e5ffe32f993bf9dc5473940", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001237", "prompt": "Calculate: 2640 * (-65951 - (-5057)) / 66154", "solution_steps": ["Subtract: -65951 - (-5057) = -60894", "Multiply: 2640 * (-60894) = -160760160", "Divide: -160760160 / 66154 = -7307280/3007"], "final_answer": "-7307280/3007", "answer_type": "rational", "kind": "expression", "math_text": "2640 * (-65951 - (-5057)) / 66154", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2640, \"b\": -65951, \"c\": -5057, \"d\": 66154}", "seed": "10213705419419800679", "semantic_fingerprint": "sha256:148d98af65dc6fe5d6d39e7c364332949d86c1ba6a4e05f4ae6e5dd6108c17f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001238", "prompt": "Solve the equation x + 3396 = 28(x - 3331) + 99499 for x.", "solution_steps": ["Expand: x + 3396 = 28x - 93268 + 99499", "Combine constants: x + 3396 = 28x + 6231", "Subtract 28x from both sides: -27x + 3396 = 6231", "Subtract 3396 from both sides: -27x = 2835", "Divide both sides by -27: x = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3396 = 28(x - 3331) + 99499", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3396, \"b\": 28, \"c\": 3331, \"e\": 99499, \"x\": -105}", "seed": "16722947149879634223", "semantic_fingerprint": "sha256:ab6b9b9816f7ba783e65e5abf5d37b8167fe04249d25c787f85f5d18d287bba0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001239", "prompt": "Find x: 18x + 21188 = 29x - 8188", "solution_steps": ["Subtract 29x from both sides: -11x + 21188 = -8188", "Subtract 21188 from both sides: -11x = -29376", "Divide both sides by -11: x = 29376/11"], "final_answer": "29376/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x + 21188 = 29x - 8188", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 21188, \"c\": 29, \"d\": 8188}", "seed": "11582588107127367361", "semantic_fingerprint": "sha256:a46f22b0c3e1046bc6675fe8d9cbe85573695dc5010ddf204afec4fb3e936b5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001240", "prompt": "Calculate: -5555 / (67918 + 4804)", "solution_steps": ["Add: 67918 + 4804 = 72722", "Divide: -5555 / 72722 = -5555/72722"], "final_answer": "-5555/72722", "answer_type": "rational", "kind": "expression", "math_text": "-5555 / (67918 + 4804)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5555, \"b\": 67918, \"c\": 4804}", "seed": "4050881387321658013", "semantic_fingerprint": "sha256:ebb4e4649e92fba871427b533e5f2578dc7d74bac9f3d10a58a90c57ad6d2e37", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001241", "prompt": "Compute: -30734 - 65776 + 66139", "solution_steps": ["Subtract: -30734 - 65776 = -96510", "Add: -96510 + 66139 = -30371"], "final_answer": "-30371", "answer_type": "integer", "kind": "expression", "math_text": "-30734 - 65776 + 66139", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30734, \"b\": 65776, \"c\": 66139}", "seed": "3753655838877437693", "semantic_fingerprint": "sha256:7db019dc0186ac4627c71109d9e5a329984581d6769209b11fe284f869be5113", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001242", "prompt": "Solve the equation 27(x + 76369) - 4341 = -9922 for x.", "solution_steps": ["Expand: 27x + 2061963 - 4341 = -9922", "Combine constants: 27x + 2057622 = -9922", "Subtract 2057622 from both sides: 27x = -2067544", "Divide both sides by 27: x = -2067544/27"], "final_answer": "-2067544/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 76369) - 4341 = -9922", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 76369, \"c\": 4341, \"d\": -9922}", "seed": "18181699756470726150", "semantic_fingerprint": "sha256:0b7cc3277bcb289e16f7f240a425e5380e99f6f477c5f551e08c459cd3832875", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001243", "prompt": "Evaluate: -3974 + (-5459 * (-1149) + 8943 - 2817)", "solution_steps": ["Multiply: -5459 * (-1149) = 6272391", "Add: 6272391 + 8943 = 6281334", "Subtract: 6281334 - 2817 = 6278517", "Add: -3974 + 6278517 = 6274543"], "final_answer": "6274543", "answer_type": "integer", "kind": "expression", "math_text": "-3974 + (-5459 * (-1149) + 8943 - 2817)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3974, \"b\": -5459, \"c\": -1149, \"d\": 8943, \"e\": 2817}", "seed": "14984341578271284965", "semantic_fingerprint": "sha256:1fd6d3c7aa20bbbffd57e428094c9ef4f7a2989ab1b8f65e830fd2aba6acadb8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001244", "prompt": "Compute: 59870 / 17493 + 4535", "solution_steps": ["Divide: 59870 / 17493 = 59870/17493", "Add: 59870/17493 + 4535 = 79390625/17493"], "final_answer": "79390625/17493", "answer_type": "rational", "kind": "expression", "math_text": "59870 / 17493 + 4535", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59870, \"b\": 17493, \"c\": 4535}", "seed": "10593845851530947460", "semantic_fingerprint": "sha256:d64e2632ab49f348301365f76088e305c02deace826b3521b51fc177eb342dc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001245", "prompt": "What is 1279 + 85592 + (-78261)?", "solution_steps": ["Add: 1279 + 85592 = 86871", "Add: 86871 + (-78261) = 8610"], "final_answer": "8610", "answer_type": "integer", "kind": "expression", "math_text": "1279 + 85592 + (-78261)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1279, \"b\": 85592, \"c\": -78261}", "seed": "7237515102839426299", "semantic_fingerprint": "sha256:fdc1a44e77e176ea04dee633664861afe52a6bf348a16f2d9aa931d39b18757d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001246", "prompt": "Evaluate: -47499 / 42672 + (-4214)", "solution_steps": ["Divide: -47499 / 42672 = -15833/14224", "Add: -15833/14224 + (-4214) = -59955769/14224"], "final_answer": "-59955769/14224", "answer_type": "rational", "kind": "expression", "math_text": "-47499 / 42672 + (-4214)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47499, \"b\": 42672, \"c\": -4214}", "seed": "2149579201114791806", "semantic_fingerprint": "sha256:9e0739349e5d84374e8066340feb1496abbb41b6262d8e9be082749d8cbd03f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001247", "prompt": "Calculate: (4229 + 1575) / (-78922)", "solution_steps": ["Add: 4229 + 1575 = 5804", "Divide: 5804 / (-78922) = -2902/39461"], "final_answer": "-2902/39461", "answer_type": "rational", "kind": "expression", "math_text": "(4229 + 1575) / (-78922)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4229, \"b\": 1575, \"c\": -78922}", "seed": "16739376444306587704", "semantic_fingerprint": "sha256:69ad7c08ea527e542ae7bc95425ba08b0502361e5158722d8a73af8ee6801dfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001248", "prompt": "What is -6997 * (93221 / (59553 + (-8880)) * 1863)?", "solution_steps": ["Add: 59553 + (-8880) = 50673", "Divide: 93221 / 50673 = 93221/50673", "Multiply: (93221/50673) * 1863 = 57890241/16891", "Multiply: -6997 * (57890241/16891) = -405058016277/16891"], "final_answer": "-405058016277/16891", "answer_type": "rational", "kind": "expression", "math_text": "-6997 * (93221 / (59553 + (-8880)) * 1863)", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6997, \"b\": 93221, \"c\": 59553, \"d\": -8880, \"e\": 1863}", "seed": "2660410855133506419", "semantic_fingerprint": "sha256:9af4b9523cf764c7fdab8249bcb79d4369b284de4520617d6c2a78c298c1a03c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001249", "prompt": "Solve the equation 31x = x + 84673 for x.", "solution_steps": ["Subtract x from both sides: 30x = 84673", "Divide both sides by 30: x = 84673/30"], "final_answer": "84673/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "31x = x + 84673", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 84673}", "seed": "17876198326045015449", "semantic_fingerprint": "sha256:c87dbdbfed01113fa547ff54bc07dab91dd3982c35fecae158fd42c44b8ef438", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001250", "prompt": "Compute: 1327 + (-40327 - 61462)", "solution_steps": ["Subtract: -40327 - 61462 = -101789", "Add: 1327 + (-101789) = -100462"], "final_answer": "-100462", "answer_type": "integer", "kind": "expression", "math_text": "1327 + (-40327 - 61462)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1327, \"b\": -40327, \"c\": 61462}", "seed": "3788513664882751978", "semantic_fingerprint": "sha256:9ea45d7bc9ca9e9df3457f7180c035889941c549ed6ab9d1afc39d7c78fbe4ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001251", "prompt": "Calculate: 16806 + (-5235)", "solution_steps": ["Add: 16806 + (-5235) = 11571"], "final_answer": "11571", "answer_type": "integer", "kind": "expression", "math_text": "16806 + (-5235)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 16806, \"b\": -5235}", "seed": "6543405136356659477", "semantic_fingerprint": "sha256:ee1b2683f30b752c704ecdd1488697c1f80d0f48b84e0bdfeb5d923220f01511", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001252", "prompt": "What value of x satisfies 33x + 4532 = x?", "solution_steps": ["Subtract x from both sides: 32x + 4532 = 0", "Subtract 4532 from both sides: 32x = -4532", "Divide both sides by 32: x = -1133/8"], "final_answer": "-1133/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x + 4532 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 4532}", "seed": "16515968370689169091", "semantic_fingerprint": "sha256:5e23771321cadc5f7650a9b35361874e53c6fecabfe39e3ae8d06df119a8859c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001253", "prompt": "What is 22327 + (-90547) - (8440 - (-18790 + 3350 + 66969))?", "solution_steps": ["Add: 22327 + (-90547) = -68220", "Add: -18790 + 3350 = -15440", "Add: -15440 + 66969 = 51529", "Subtract: 8440 - 51529 = -43089", "Subtract: -68220 - (-43089) = -25131"], "final_answer": "-25131", "answer_type": "integer", "kind": "expression", "math_text": "22327 + (-90547) - (8440 - (-18790 + 3350 + 66969))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22327, \"b\": -90547, \"c\": 8440, \"d\": -18790, \"e\": 3350, \"f\": 66969}", "seed": "9620956222841129815", "semantic_fingerprint": "sha256:2320f70460d6902560d509c5a85484ab49094bddef9f2c2421c46a808870c1cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001254", "prompt": "What value of x satisfies -31(x + 2110) - 18709 = 5540?", "solution_steps": ["Expand: -31x - 65410 - 18709 = 5540", "Combine constants: -31x - 84119 = 5540", "Add 84119 to both sides: -31x = 89659", "Divide both sides by -31: x = -89659/31"], "final_answer": "-89659/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x + 2110) - 18709 = 5540", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 2110, \"c\": 18709, \"d\": 5540}", "seed": "6510997477797643069", "semantic_fingerprint": "sha256:df4730a95d3cdb7f84bf9b2ada5985c022e2287072b39127686357bb8b343bd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001255", "prompt": "Calculate: (16867 - (-20027)) * (-3766)", "solution_steps": ["Subtract: 16867 - (-20027) = 36894", "Multiply: 36894 * (-3766) = -138942804"], "final_answer": "-138942804", "answer_type": "integer", "kind": "expression", "math_text": "(16867 - (-20027)) * (-3766)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16867, \"b\": -20027, \"c\": -3766}", "seed": "18434225508399532392", "semantic_fingerprint": "sha256:e82195396541a8148f9fb0e2bfb34b1aab06f866667225333b81a3f7d4c22926", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001256", "prompt": "Evaluate: -30705 + (-1700)", "solution_steps": ["Add: -30705 + (-1700) = -32405"], "final_answer": "-32405", "answer_type": "integer", "kind": "expression", "math_text": "-30705 + (-1700)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -30705, \"b\": -1700}", "seed": "17457183869614241195", "semantic_fingerprint": "sha256:d9b4af6a69c8a69bb5a46a1486838dd560df92660f9964e9baa2925c80e2c316", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001257", "prompt": "Solve the equation x + 9873 = 16x for x.", "solution_steps": ["Subtract 16x from both sides: -15x + 9873 = 0", "Subtract 9873 from both sides: -15x = -9873", "Divide both sides by -15: x = 3291/5"], "final_answer": "3291/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9873 = 16x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9873, \"b\": 16}", "seed": "17194311556201766220", "semantic_fingerprint": "sha256:06b31863e3d9038fa7aa7f022ab4eeb35b6cf452bd0c23ce0bd000cfd5f658be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001258", "prompt": "Solve for x: 21x + 72711 = 75693", "solution_steps": ["Subtract 72711 from both sides: 21x = 2982", "Divide both sides by 21: x = 142"], "final_answer": "142", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 72711 = 75693", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 72711, \"d\": 75693, \"x\": 142}", "seed": "208073016947322995", "semantic_fingerprint": "sha256:b8036685bd1bb9fbc4d2ac6e7132e271cab773d1ffdd2d77f182741d63bdb69b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001259", "prompt": "Compute: 13619 * 5139 * (-3552)", "solution_steps": ["Multiply: 13619 * 5139 = 69988041", "Multiply: 69988041 * (-3552) = -248597521632"], "final_answer": "-248597521632", "answer_type": "integer", "kind": "expression", "math_text": "13619 * 5139 * (-3552)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13619, \"b\": 5139, \"c\": -3552}", "seed": "9350252658071341599", "semantic_fingerprint": "sha256:c89c313fd6c0ed595644c7b91308a6d423aba5469f8c23c5c580f669d51afb45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001260", "prompt": "Evaluate: -51828 * 90628", "solution_steps": ["Multiply: -51828 * 90628 = -4697067984"], "final_answer": "-4697067984", "answer_type": "integer", "kind": "expression", "math_text": "-51828 * 90628", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -51828, \"b\": 90628}", "seed": "14203037343090046136", "semantic_fingerprint": "sha256:a7ec2a1854c92f3b5fdbe51b65db27ae5cb5b7f85796b84485ef3cdb67bc9399", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001261", "prompt": "What value of x satisfies 22(x - 8446) + 9482 = 35(x + 8865) + 2870?", "solution_steps": ["Expand: 22x - 185812 + 9482 = 35(x + 8865) + 2870", "Expand: 22x - 185812 + 9482 = 35x + 310275 + 2870", "Combine constants: 22x - 176330 = 35x + 310275 + 2870", "Combine constants: 22x - 176330 = 35x + 313145", "Subtract 35x from both sides: -13x - 176330 = 313145", "Add 176330 to both sides: -13x = 489475", "Divide both sides by -13: x = -489475/13"], "final_answer": "-489475/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 8446) + 9482 = 35(x + 8865) + 2870", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 8446, \"c\": 9482, \"d\": 35, \"e\": 8865, \"f\": 2870}", "seed": "5290166551603295618", "semantic_fingerprint": "sha256:8797a2de57c772200a2ba69845410faac25deac8185b3ddd5e8727f2d895f536", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001262", "prompt": "Evaluate: 30515 * 5172", "solution_steps": ["Multiply: 30515 * 5172 = 157823580"], "final_answer": "157823580", "answer_type": "integer", "kind": "expression", "math_text": "30515 * 5172", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 30515, \"b\": 5172}", "seed": "10263418180089382999", "semantic_fingerprint": "sha256:a0ec6e74367729671e00563c10259715773cf7bc44d9ab6abdb2683232523053", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001263", "prompt": "Evaluate: 4573 + 3684 + 2612 * (-8888) - 41044 / 8012", "solution_steps": ["Add: 4573 + 3684 = 8257", "Multiply: 2612 * (-8888) = -23215456", "Add: 8257 + (-23215456) = -23207199", "Divide: 41044 / 8012 = 10261/2003", "Subtract: -23207199 - 10261/2003 = -46484029858/2003"], "final_answer": "-46484029858/2003", "answer_type": "rational", "kind": "expression", "math_text": "4573 + 3684 + 2612 * (-8888) - 41044 / 8012", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4573, \"b\": 3684, \"c\": 2612, \"d\": -8888, \"e\": 41044, \"f\": 8012}", "seed": "792089290274313880", "semantic_fingerprint": "sha256:4d11ace9763f2a0cf5ab3b0c737077970b4a4ef92ffbe39f07da8e90f5dc779a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001264", "prompt": "What is -39749 - (-65170 - (8718 / 84858 + 79447))?", "solution_steps": ["Divide: 8718 / 84858 = 1453/14143", "Add: 1453/14143 + 79447 = 1123620374/14143", "Subtract: -65170 - 1123620374/14143 = -2045319684/14143", "Subtract: -39749 - (-2045319684/14143) = 1483149577/14143"], "final_answer": "1483149577/14143", "answer_type": "rational", "kind": "expression", "math_text": "-39749 - (-65170 - (8718 / 84858 + 79447))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ (/ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -39749, \"b\": -65170, \"c\": 8718, \"d\": 84858, \"e\": 79447}", "seed": "4266384203235695939", "semantic_fingerprint": "sha256:ad626cf0cf6d20a8234f5acb8c2fe50e8350089a1043d28f910929c80ca6e59d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001265", "prompt": "Find x: 16x + 23345 = 14x + 23033", "solution_steps": ["Subtract 14x from both sides: 2x + 23345 = 23033", "Subtract 23345 from both sides: 2x = -312", "Divide both sides by 2: x = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x + 23345 = 14x + 23033", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 23345, \"c\": 14, \"e\": 23033, \"x\": -156}", "seed": "2640827101520307603", "semantic_fingerprint": "sha256:c4c8647afc2d0e74188069b90f02a3f03f731a93f753d6a660be6fd2b8708971", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001266", "prompt": "What is 4524 + 2790?", "solution_steps": ["Add: 4524 + 2790 = 7314"], "final_answer": "7314", "answer_type": "integer", "kind": "expression", "math_text": "4524 + 2790", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4524, \"b\": 2790}", "seed": "11241859582080495641", "semantic_fingerprint": "sha256:887b20fa1a94e9528fa0f1a504b2c72ce7112864ce85f813e3176fdbacad1b6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001267", "prompt": "Compute: 4191 - (-1980 + (3963 + (-7196)))", "solution_steps": ["Add: 3963 + (-7196) = -3233", "Add: -1980 + (-3233) = -5213", "Subtract: 4191 - (-5213) = 9404"], "final_answer": "9404", "answer_type": "integer", "kind": "expression", "math_text": "4191 - (-1980 + (3963 + (-7196)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4191, \"b\": -1980, \"c\": 3963, \"d\": -7196}", "seed": "14645753016597723560", "semantic_fingerprint": "sha256:9782897e18c6bd7de9138c6c41cc5528e02d9bb9eedf239dd1368042db7d9358", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001268", "prompt": "Compute: 8652 - 3365", "solution_steps": ["Subtract: 8652 - 3365 = 5287"], "final_answer": "5287", "answer_type": "integer", "kind": "expression", "math_text": "8652 - 3365", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8652, \"b\": 3365}", "seed": "10947669894466016647", "semantic_fingerprint": "sha256:e710614f4add03ecee189f223e5091bb72888d713f71f15be0b5979709380949", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001269", "prompt": "Solve for x: 20x + 97037 = 25(x + 89545) - 25544", "solution_steps": ["Expand: 20x + 97037 = 25x + 2238625 - 25544", "Combine constants: 20x + 97037 = 25x + 2213081", "Subtract 25x from both sides: -5x + 97037 = 2213081", "Subtract 97037 from both sides: -5x = 2116044", "Divide both sides by -5: x = -2116044/5"], "final_answer": "-2116044/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x + 97037 = 25(x + 89545) - 25544", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 97037, \"c\": 25, \"d\": 89545, \"e\": 25544}", "seed": "5958044884996386840", "semantic_fingerprint": "sha256:83ac485c3845ae06b89437890d3d8ad27ef5b63548e0c847e854063f1be22580", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001270", "prompt": "Compute: 7943 - (-7444)", "solution_steps": ["Subtract: 7943 - (-7444) = 15387"], "final_answer": "15387", "answer_type": "integer", "kind": "expression", "math_text": "7943 - (-7444)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7943, \"b\": -7444}", "seed": "14785494826737596889", "semantic_fingerprint": "sha256:3a3660d457515d3f55b42b3e26b50eb309880b5169ed7efc9ddb64c0f50ba982", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001271", "prompt": "Solve for x: -23(x + 5628) - 99033 = 38(x + 2909) - 65621", "solution_steps": ["Expand: -23x - 129444 - 99033 = 38(x + 2909) - 65621", "Expand: -23x - 129444 - 99033 = 38x + 110542 - 65621", "Combine constants: -23x - 228477 = 38x + 110542 - 65621", "Combine constants: -23x - 228477 = 38x + 44921", "Subtract 38x from both sides: -61x - 228477 = 44921", "Add 228477 to both sides: -61x = 273398", "Divide both sides by -61: x = -273398/61"], "final_answer": "-273398/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 5628) - 99033 = 38(x + 2909) - 65621", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 5628, \"c\": 99033, \"d\": 38, \"e\": 2909, \"f\": 65621}", "seed": "16656591495418892312", "semantic_fingerprint": "sha256:5cb6b6bbc3a7f80985ff3cef13ffbb6343bc15627ed37675166dabafe6d73b70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001272", "prompt": "Evaluate: -45107 - (-4055) / (-9696)", "solution_steps": ["Divide: -4055 / (-9696) = 4055/9696", "Subtract: -45107 - 4055/9696 = -437361527/9696"], "final_answer": "-437361527/9696", "answer_type": "rational", "kind": "expression", "math_text": "-45107 - (-4055) / (-9696)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45107, \"b\": -4055, \"c\": -9696}", "seed": "3925974507802229062", "semantic_fingerprint": "sha256:751c5e5ca554ac9d1430634ac6728473754bef6be4f8d8cff31763d719b45888", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001273", "prompt": "Find x: -28(x + 2881) + 1324 = -83208", "solution_steps": ["Expand: -28x - 80668 + 1324 = -83208", "Combine constants: -28x - 79344 = -83208", "Add 79344 to both sides: -28x = -3864", "Divide both sides by -28: x = 138"], "final_answer": "138", "answer_type": "integer", "kind": "linear_equation", "math_text": "-28(x + 2881) + 1324 = -83208", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 2881, \"c\": 1324, \"e\": -83208, \"x\": 138}", "seed": "13644703229675817781", "semantic_fingerprint": "sha256:0344a5e2b31b50ae8095005386b5703eee4a84b1c530c5141f9c66622ffeeb2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001274", "prompt": "What value of x satisfies 24(x + 4936) + 8711 = -31(x - 6006) - 53016?", "solution_steps": ["Expand: 24x + 118464 + 8711 = -31(x - 6006) - 53016", "Expand: 24x + 118464 + 8711 = -31x + 186186 - 53016", "Combine constants: 24x + 127175 = -31x + 186186 - 53016", "Combine constants: 24x + 127175 = -31x + 133170", "Add 31x to both sides: 55x + 127175 = 133170", "Subtract 127175 from both sides: 55x = 5995", "Divide both sides by 55: x = 109"], "final_answer": "109", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x + 4936) + 8711 = -31(x - 6006) - 53016", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 4936, \"c\": 8711, \"d\": -31, \"e\": 6006, \"g\": -53016, \"x\": 109}", "seed": "13190822125252391810", "semantic_fingerprint": "sha256:cf2323383ac0dd4dec60349c49d10b9f87f6d1f93b0428417334b761b9cc4e0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001275", "prompt": "Evaluate: -2417 * (5422 + 2140)", "solution_steps": ["Add: 5422 + 2140 = 7562", "Multiply: -2417 * 7562 = -18277354"], "final_answer": "-18277354", "answer_type": "integer", "kind": "expression", "math_text": "-2417 * (5422 + 2140)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2417, \"b\": 5422, \"c\": 2140}", "seed": "18194567243550091266", "semantic_fingerprint": "sha256:fd3a4585d08f2c1d9ce941444515470d6eb5ee82c26a148311bf66ad478930fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001276", "prompt": "Compute: 2076 / 4342 - (-31881 - 87084)", "solution_steps": ["Divide: 2076 / 4342 = 1038/2171", "Subtract: -31881 - 87084 = -118965", "Subtract: 1038/2171 - (-118965) = 258274053/2171"], "final_answer": "258274053/2171", "answer_type": "rational", "kind": "expression", "math_text": "2076 / 4342 - (-31881 - 87084)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2076, \"b\": 4342, \"c\": -31881, \"d\": 87084}", "seed": "9217998497653279154", "semantic_fingerprint": "sha256:6dd8e7c9c5fa58c93fc332d5bd5553999611f493c18b7f0fd514c7a383a96935", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001277", "prompt": "Solve the equation 19(x - 3101) = x - 62375 for x.", "solution_steps": ["Expand: 19x - 58919 = x - 62375", "Subtract x from both sides: 18x - 58919 = -62375", "Add 58919 to both sides: 18x = -3456", "Divide both sides by 18: x = -192"], "final_answer": "-192", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 3101) = x - 62375", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3101, \"d\": -62375, \"x\": -192}", "seed": "4750311036400451806", "semantic_fingerprint": "sha256:6d3768a1659728ba18f3ba5fb3389e6ba8c4663a4cf7c64447b2c6654039592d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001278", "prompt": "Calculate: -6856 + (95882 - (-56301))", "solution_steps": ["Subtract: 95882 - (-56301) = 152183", "Add: -6856 + 152183 = 145327"], "final_answer": "145327", "answer_type": "integer", "kind": "expression", "math_text": "-6856 + (95882 - (-56301))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6856, \"b\": 95882, \"c\": -56301}", "seed": "4930364082438748515", "semantic_fingerprint": "sha256:f04554677f192195fe7a41e8715be380361b7d4a337358787d0c186ee9f6c8de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001279", "prompt": "Evaluate: -7057 - (7120 - (-17107))", "solution_steps": ["Subtract: 7120 - (-17107) = 24227", "Subtract: -7057 - 24227 = -31284"], "final_answer": "-31284", "answer_type": "integer", "kind": "expression", "math_text": "-7057 - (7120 - (-17107))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7057, \"b\": 7120, \"c\": -17107}", "seed": "17050294196057317127", "semantic_fingerprint": "sha256:26788ae3a8d2a9e295407a19632dc31d38925c391e422f091e0ffb29672609b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001280", "prompt": "Compute: -47850 - 65196 / (-4804)", "solution_steps": ["Divide: 65196 / (-4804) = -16299/1201", "Subtract: -47850 - (-16299/1201) = -57451551/1201"], "final_answer": "-57451551/1201", "answer_type": "rational", "kind": "expression", "math_text": "-47850 - 65196 / (-4804)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47850, \"b\": 65196, \"c\": -4804}", "seed": "13912120901872359158", "semantic_fingerprint": "sha256:c2cad9a19ca3a440067d316ba10d9959dc5d6a8ec6a5b52250b03e2ed8e2d28b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001281", "prompt": "What is -17824 - (-7734) * (-46281)?", "solution_steps": ["Multiply: -7734 * (-46281) = 357937254", "Subtract: -17824 - 357937254 = -357955078"], "final_answer": "-357955078", "answer_type": "integer", "kind": "expression", "math_text": "-17824 - (-7734) * (-46281)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17824, \"b\": -7734, \"c\": -46281}", "seed": "15821229853116377155", "semantic_fingerprint": "sha256:a761b9be796f7c5a1ec423617b7139864b68745a1119aec0f41aab6923df7797", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001282", "prompt": "Calculate: 5688 * 14323", "solution_steps": ["Multiply: 5688 * 14323 = 81469224"], "final_answer": "81469224", "answer_type": "integer", "kind": "expression", "math_text": "5688 * 14323", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5688, \"b\": 14323}", "seed": "13764605367984783017", "semantic_fingerprint": "sha256:a03f2e619951f78bf7f90143b9da917030d1ff857bcfde8ed37dd646803cdb63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001283", "prompt": "Calculate: -9929 + 1331 + 6641 * 2256", "solution_steps": ["Add: -9929 + 1331 = -8598", "Multiply: 6641 * 2256 = 14982096", "Add: -8598 + 14982096 = 14973498"], "final_answer": "14973498", "answer_type": "integer", "kind": "expression", "math_text": "-9929 + 1331 + 6641 * 2256", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9929, \"b\": 1331, \"c\": 6641, \"d\": 2256}", "seed": "7003215178487675360", "semantic_fingerprint": "sha256:95f913397d692bd4df632ab96f300544bef51b84df46e091b7c8e341c8789c37", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001284", "prompt": "Evaluate: -84806 / 2880", "solution_steps": ["Divide: -84806 / 2880 = -42403/1440"], "final_answer": "-42403/1440", "answer_type": "rational", "kind": "expression", "math_text": "-84806 / 2880", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84806, \"b\": 2880}", "seed": "478297049816925145", "semantic_fingerprint": "sha256:8803bab9206148d394fcdffbef72bb8c3b0feea2de8630a3a5f43d1b31999505", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001285", "prompt": "What value of x satisfies x = -21x - 3256?", "solution_steps": ["Add 21x to both sides: 22x = -3256", "Divide both sides by 22: x = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -21x - 3256", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21, \"c\": -3256, \"x\": -148}", "seed": "16884362755497902969", "semantic_fingerprint": "sha256:6078080ee46e82d8d532aade1bbf88fc68a8cdcb7dcf41634e00656526a6f8f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001286", "prompt": "Compute: -51599 * (-16608) / (-6985) + (-7252) / (-27510)", "solution_steps": ["Multiply: -51599 * (-16608) = 856956192", "Divide: 856956192 / (-6985) = -856956192/6985", "Divide: -7252 / (-27510) = 518/1965", "Add: -856956192/6985 + 518/1965 = -67356611962/549021"], "final_answer": "-67356611962/549021", "answer_type": "rational", "kind": "expression", "math_text": "-51599 * (-16608) / (-6985) + (-7252) / (-27510)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -51599, \"b\": -16608, \"c\": -6985, \"d\": -7252, \"e\": -27510}", "seed": "10961355932059369556", "semantic_fingerprint": "sha256:9fbf942e505119f7d6e786b60ff7d3ca914e183421fd41f70e22e61629d64d90", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001287", "prompt": "Compute: -1527 - (7351 - 84870 / (-2496)) + (-5400)", "solution_steps": ["Divide: 84870 / (-2496) = -14145/416", "Subtract: 7351 - (-14145/416) = 3072161/416", "Subtract: -1527 - 3072161/416 = -3707393/416", "Add: -3707393/416 + (-5400) = -5953793/416"], "final_answer": "-5953793/416", "answer_type": "rational", "kind": "expression", "math_text": "-1527 - (7351 - 84870 / (-2496)) + (-5400)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n (/ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1527, \"b\": 7351, \"c\": 84870, \"d\": -2496, \"e\": -5400}", "seed": "17094816521077405209", "semantic_fingerprint": "sha256:a539d7926de19ac90986f5848260b60548fba2171d623a3d446c71bfccb13e3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001288", "prompt": "Evaluate: (-5017 - 7674) / 4112", "solution_steps": ["Subtract: -5017 - 7674 = -12691", "Divide: -12691 / 4112 = -12691/4112"], "final_answer": "-12691/4112", "answer_type": "rational", "kind": "expression", "math_text": "(-5017 - 7674) / 4112", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5017, \"b\": 7674, \"c\": 4112}", "seed": "8741405856351396071", "semantic_fingerprint": "sha256:e039206c29bbf79999b038b0297c161e900a8ca81c00507dc6526d6e608cd140", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001289", "prompt": "Compute: -9645 + 1533", "solution_steps": ["Add: -9645 + 1533 = -8112"], "final_answer": "-8112", "answer_type": "integer", "kind": "expression", "math_text": "-9645 + 1533", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9645, \"b\": 1533}", "seed": "12137186501046154133", "semantic_fingerprint": "sha256:9681b021a24833ed2e9e4f9d8c639588f847bbefb9413ab854932102d80acfe4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001290", "prompt": "Evaluate: -91717 + 23070", "solution_steps": ["Add: -91717 + 23070 = -68647"], "final_answer": "-68647", "answer_type": "integer", "kind": "expression", "math_text": "-91717 + 23070", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -91717, \"b\": 23070}", "seed": "7660351864316970545", "semantic_fingerprint": "sha256:e9c80d6497eb45079b02d064b083e3dcd95c6a7f62c37c3419a11ca7be74918b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001291", "prompt": "Find x: 17(x - 8221) - 8239 = -26(x - 1421) + 2964", "solution_steps": ["Expand: 17x - 139757 - 8239 = -26(x - 1421) + 2964", "Expand: 17x - 139757 - 8239 = -26x + 36946 + 2964", "Combine constants: 17x - 147996 = -26x + 36946 + 2964", "Combine constants: 17x - 147996 = -26x + 39910", "Add 26x to both sides: 43x - 147996 = 39910", "Add 147996 to both sides: 43x = 187906", "Divide both sides by 43: x = 187906/43"], "final_answer": "187906/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 8221) - 8239 = -26(x - 1421) + 2964", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 8221, \"c\": 8239, \"d\": -26, \"e\": 1421, \"f\": 2964}", "seed": "12447597158280204613", "semantic_fingerprint": "sha256:aa7f6c9d51a53379f62672f41887a67ef4cd9277c2f9f513d33a518203c615bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001292", "prompt": "What value of x satisfies x = 33x - 1440?", "solution_steps": ["Subtract 33x from both sides: -32x = -1440", "Divide both sides by -32: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 33x - 1440", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": -1440, \"x\": 45}", "seed": "1219960602457003348", "semantic_fingerprint": "sha256:ca5731d8b8b5ea4d81f3373dd997edd9898a4d6b9d50298fdd395c41dfa15bdc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001293", "prompt": "Calculate: -3126 - 19529 / (-90875)", "solution_steps": ["Divide: 19529 / (-90875) = -19529/90875", "Subtract: -3126 - (-19529/90875) = -284055721/90875"], "final_answer": "-284055721/90875", "answer_type": "rational", "kind": "expression", "math_text": "-3126 - 19529 / (-90875)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3126, \"b\": 19529, \"c\": -90875}", "seed": "16601666066900064050", "semantic_fingerprint": "sha256:77c9b7f7055b0b24038806cf6b35c135eefd47fbfd34478a5be4cf7fbd4fadba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001294", "prompt": "Find x: x + 16103 = -17(x + 2488)", "solution_steps": ["Expand: x + 16103 = -17x - 42296", "Add 17x to both sides: 18x + 16103 = -42296", "Subtract 16103 from both sides: 18x = -58399", "Divide both sides by 18: x = -58399/18"], "final_answer": "-58399/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 16103 = -17(x + 2488)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16103, \"b\": -17, \"c\": 2488}", "seed": "9318384844823446189", "semantic_fingerprint": "sha256:27c6f1b942e72fe5f4e41f37c29397623f9781cc8eafc31b094841f0d84138b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001295", "prompt": "Calculate: (-4222 + 4677 + 7124) / 9922", "solution_steps": ["Add: -4222 + 4677 = 455", "Add: 455 + 7124 = 7579", "Divide: 7579 / 9922 = 689/902"], "final_answer": "689/902", "answer_type": "rational", "kind": "expression", "math_text": "(-4222 + 4677 + 7124) / 9922", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4222, \"b\": 4677, \"c\": 7124, \"d\": 9922}", "seed": "1248420214452472094", "semantic_fingerprint": "sha256:410ba204778adc000701553fdd3d5cb748b43760d9fdd54f4030d3e8f348d9b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001296", "prompt": "What value of x satisfies 29(x - 2342) + 72818 = x?", "solution_steps": ["Expand: 29x - 67918 + 72818 = x", "Combine constants: 29x + 4900 = x", "Subtract x from both sides: 28x + 4900 = 0", "Subtract 4900 from both sides: 28x = -4900", "Divide both sides by 28: x = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x - 2342) + 72818 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2342, \"d\": 72818, \"x\": -175}", "seed": "3743610431747190805", "semantic_fingerprint": "sha256:c084b896c975b164750e0afcd2d8369d97eb26734351a915ba69ffcd05237a53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001297", "prompt": "Calculate: 32983 - (-9280 + 50716) * 5551", "solution_steps": ["Add: -9280 + 50716 = 41436", "Multiply: 41436 * 5551 = 230011236", "Subtract: 32983 - 230011236 = -229978253"], "final_answer": "-229978253", "answer_type": "integer", "kind": "expression", "math_text": "32983 - (-9280 + 50716) * 5551", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32983, \"b\": -9280, \"c\": 50716, \"d\": 5551}", "seed": "8527444489931287791", "semantic_fingerprint": "sha256:b6ac20d3f9a8ae24e4329114811c13faa0894ca68090e2ed2aa3fe5bb4fe75fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001298", "prompt": "Calculate: (-85496 + (-3744) + (-1049)) * (-7846 / (-5510))", "solution_steps": ["Add: -85496 + (-3744) = -89240", "Add: -89240 + (-1049) = -90289", "Divide: -7846 / (-5510) = 3923/2755", "Multiply: -90289 * (3923/2755) = -354203747/2755"], "final_answer": "-354203747/2755", "answer_type": "rational", "kind": "expression", "math_text": "(-85496 + (-3744) + (-1049)) * (-7846 / (-5510))", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85496, \"b\": -3744, \"c\": -1049, \"d\": -7846, \"e\": -5510}", "seed": "15970041131305179369", "semantic_fingerprint": "sha256:5c95c0b045e8dd626b5066048aceae96523fc1d5461b28cbc61913ef1ebccc17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001299", "prompt": "What is 2114 * 7644?", "solution_steps": ["Multiply: 2114 * 7644 = 16159416"], "final_answer": "16159416", "answer_type": "integer", "kind": "expression", "math_text": "2114 * 7644", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2114, \"b\": 7644}", "seed": "2750049501076843516", "semantic_fingerprint": "sha256:1b7cf2c0570f6dfffebeeb7b8b2017acfa98e7882d0a7bd8ebd225f2a48f9f00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001300", "prompt": "Calculate: 8131 * (3115 + (95744 - (-5028)))", "solution_steps": ["Subtract: 95744 - (-5028) = 100772", "Add: 3115 + 100772 = 103887", "Multiply: 8131 * 103887 = 844705197"], "final_answer": "844705197", "answer_type": "integer", "kind": "expression", "math_text": "8131 * (3115 + (95744 - (-5028)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8131, \"b\": 3115, \"c\": 95744, \"d\": -5028}", "seed": "2093596352074545017", "semantic_fingerprint": "sha256:8cb8329ae534308e7b4dcfe902a4079caedbc5bca00143b08e5223b69768924b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001301", "prompt": "Compute: (-77092 + (-28516)) * (32428 - (-3202)) - (1584 - (-1093))", "solution_steps": ["Add: -77092 + (-28516) = -105608", "Subtract: 32428 - (-3202) = 35630", "Multiply: -105608 * 35630 = -3762813040", "Subtract: 1584 - (-1093) = 2677", "Subtract: -3762813040 - 2677 = -3762815717"], "final_answer": "-3762815717", "answer_type": "integer", "kind": "expression", "math_text": "(-77092 + (-28516)) * (32428 - (-3202)) - (1584 - (-1093))", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -77092, \"b\": -28516, \"c\": 32428, \"d\": -3202, \"e\": 1584, \"f\": -1093}", "seed": "13195432667177831698", "semantic_fingerprint": "sha256:77f54800cd493672ac7c9d584f6c339361d46cd51f2e857c6cbc44cf9f53602d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001302", "prompt": "Calculate: -5353 + (9796 - (-98585) / 7607)", "solution_steps": ["Divide: -98585 / 7607 = -98585/7607", "Subtract: 9796 - (-98585/7607) = 74616757/7607", "Add: -5353 + 74616757/7607 = 33896486/7607"], "final_answer": "33896486/7607", "answer_type": "rational", "kind": "expression", "math_text": "-5353 + (9796 - (-98585) / 7607)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5353, \"b\": 9796, \"c\": -98585, \"d\": 7607}", "seed": "5177875152666819989", "semantic_fingerprint": "sha256:d17be40137622eaa0b05ef4105a097ece96c55940e716d6058073819c8dd2386", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001303", "prompt": "What value of x satisfies 19x = x - 1314?", "solution_steps": ["Subtract x from both sides: 18x = -1314", "Divide both sides by 18: x = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = x - 1314", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": -1314, \"x\": -73}", "seed": "2482790591674133724", "semantic_fingerprint": "sha256:512c7cacf457a8b56c8e8be56ab3b022e84404138d19f89f20251e12ec9b7cf7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001304", "prompt": "Solve for x: -15x + 5930 = -30x - 1381", "solution_steps": ["Add 30x to both sides: 15x + 5930 = -1381", "Subtract 5930 from both sides: 15x = -7311", "Divide both sides by 15: x = -2437/5"], "final_answer": "-2437/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15x + 5930 = -30x - 1381", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 5930, \"c\": -30, \"d\": 1381}", "seed": "15975182659132471436", "semantic_fingerprint": "sha256:18cb9f48ae4bf7738b729c54476f4365c6e05d19f81e9af62a5ef703407cfaee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001305", "prompt": "Calculate: 61941 - 6793 / (-12468)", "solution_steps": ["Divide: 6793 / (-12468) = -6793/12468", "Subtract: 61941 - (-6793/12468) = 772287181/12468"], "final_answer": "772287181/12468", "answer_type": "rational", "kind": "expression", "math_text": "61941 - 6793 / (-12468)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61941, \"b\": 6793, \"c\": -12468}", "seed": "90876664781042707", "semantic_fingerprint": "sha256:408d4ccc8a828260d32254d47be69478da303975522679115e2d0390165874bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001306", "prompt": "Calculate: 3158 + (-58109)", "solution_steps": ["Add: 3158 + (-58109) = -54951"], "final_answer": "-54951", "answer_type": "integer", "kind": "expression", "math_text": "3158 + (-58109)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3158, \"b\": -58109}", "seed": "14236894331779027977", "semantic_fingerprint": "sha256:814811e19253485120f1fd76707bdb1f1083b26cfe6b3ddf3fab80c837d471ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001307", "prompt": "Calculate: (46549 - 7991) * (-9319)", "solution_steps": ["Subtract: 46549 - 7991 = 38558", "Multiply: 38558 * (-9319) = -359322002"], "final_answer": "-359322002", "answer_type": "integer", "kind": "expression", "math_text": "(46549 - 7991) * (-9319)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46549, \"b\": 7991, \"c\": -9319}", "seed": "15907646559156043071", "semantic_fingerprint": "sha256:7e9b42649a3150213487212a3512db7534c7970095b81938d5028996120ce075", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001308", "prompt": "Calculate: -7079 / (-40011) - (-6935)", "solution_steps": ["Divide: -7079 / (-40011) = 7079/40011", "Subtract: 7079/40011 - (-6935) = 277483364/40011"], "final_answer": "277483364/40011", "answer_type": "rational", "kind": "expression", "math_text": "-7079 / (-40011) - (-6935)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7079, \"b\": -40011, \"c\": -6935}", "seed": "6878735877782399043", "semantic_fingerprint": "sha256:5a7f4c1555d8dd38a59c368a095c885f04fda0735ce33166ce7504469755486c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001309", "prompt": "Solve for x: x + 2870 = -34x", "solution_steps": ["Add 34x to both sides: 35x + 2870 = 0", "Subtract 2870 from both sides: 35x = -2870", "Divide both sides by 35: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2870 = -34x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34, \"c\": 2870, \"x\": -82}", "seed": "2433806598428301800", "semantic_fingerprint": "sha256:b814d36ef5e463b2f3c4577cbf4d6ea5d7d6466f13e5d9e926f41f6f1adfa09b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001310", "prompt": "Evaluate: 4502 + 9861", "solution_steps": ["Add: 4502 + 9861 = 14363"], "final_answer": "14363", "answer_type": "integer", "kind": "expression", "math_text": "4502 + 9861", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4502, \"b\": 9861}", "seed": "16233696868502215093", "semantic_fingerprint": "sha256:677e6c9622759110bbce8a0052a74a0a1a85b4787125f83578030392200cd985", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001311", "prompt": "Solve for x: 33(x - 7144) = -40x + 72268", "solution_steps": ["Expand: 33x - 235752 = -40x + 72268", "Add 40x to both sides: 73x - 235752 = 72268", "Add 235752 to both sides: 73x = 308020", "Divide both sides by 73: x = 308020/73"], "final_answer": "308020/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 7144) = -40x + 72268", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 7144, \"c\": -40, \"d\": 72268}", "seed": "12634695275803596067", "semantic_fingerprint": "sha256:c20f8774ae3833782d1f511bacca59ad87e6ec2e5a5fc6bdb8c8ffd4662f54aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001312", "prompt": "Calculate: 2176 * (-26997 / 3290)", "solution_steps": ["Divide: -26997 / 3290 = -26997/3290", "Multiply: 2176 * (-26997/3290) = -29372736/1645"], "final_answer": "-29372736/1645", "answer_type": "rational", "kind": "expression", "math_text": "2176 * (-26997 / 3290)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2176, \"b\": -26997, \"c\": 3290}", "seed": "12587339781791360961", "semantic_fingerprint": "sha256:535228db9c470ddd827cd00864b04081d0b8d61e56bd2f6f862497cd95f86c9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001313", "prompt": "Compute: -12092 + (-60800) * (-6165) - (-28703)", "solution_steps": ["Multiply: -60800 * (-6165) = 374832000", "Add: -12092 + 374832000 = 374819908", "Subtract: 374819908 - (-28703) = 374848611"], "final_answer": "374848611", "answer_type": "integer", "kind": "expression", "math_text": "-12092 + (-60800) * (-6165) - (-28703)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -12092, \"b\": -60800, \"c\": -6165, \"d\": -28703}", "seed": "7613534777327880246", "semantic_fingerprint": "sha256:0d3d16934b11243ee5935dfe66b2d9c4f07e4a67b980be5d3f617a39bcbb609f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001314", "prompt": "Solve the equation -37x = 34x + 5183 for x.", "solution_steps": ["Subtract 34x from both sides: -71x = 5183", "Divide both sides by -71: x = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x = 34x + 5183", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 34, \"d\": 5183, \"x\": -73}", "seed": "10526793707187678982", "semantic_fingerprint": "sha256:0e0104e7440677c5baaff0de86be9f0bdb272656bb955ea46bd08800cabba277", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001315", "prompt": "Compute: -3759 + (-4583) / 13563", "solution_steps": ["Divide: -4583 / 13563 = -4583/13563", "Add: -3759 + (-4583/13563) = -50987900/13563"], "final_answer": "-50987900/13563", "answer_type": "rational", "kind": "expression", "math_text": "-3759 + (-4583) / 13563", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3759, \"b\": -4583, \"c\": 13563}", "seed": "4476556994515047126", "semantic_fingerprint": "sha256:1c2c45fdfcadf05ab35c41b419ce84d32c38628093cf56b3d14e3136cb143fcb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001316", "prompt": "What value of x satisfies 36(x - 8175) + 79934 = x - 9219?", "solution_steps": ["Expand: 36x - 294300 + 79934 = x - 9219", "Combine constants: 36x - 214366 = x - 9219", "Subtract x from both sides: 35x - 214366 = -9219", "Add 214366 to both sides: 35x = 205147", "Divide both sides by 35: x = 205147/35"], "final_answer": "205147/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 8175) + 79934 = x - 9219", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 8175, \"c\": 79934, \"d\": 9219}", "seed": "343329045544774375", "semantic_fingerprint": "sha256:fb8fddd31e4ac45a646a6e8c3a4c0c82f9e1ac8a8a821cf5c9aeb72738167376", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001317", "prompt": "What is 6070 - 9690 + (-7999 - 3865)?", "solution_steps": ["Subtract: 6070 - 9690 = -3620", "Subtract: -7999 - 3865 = -11864", "Add: -3620 + (-11864) = -15484"], "final_answer": "-15484", "answer_type": "integer", "kind": "expression", "math_text": "6070 - 9690 + (-7999 - 3865)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6070, \"b\": 9690, \"c\": -7999, \"d\": 3865}", "seed": "6687751044895651707", "semantic_fingerprint": "sha256:bcb488c9572bedbe95c9d95ed2d227f687f60c9900f381ba23196992f3ccb874", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001318", "prompt": "Solve for x: x = 20(x - 1048)", "solution_steps": ["Expand: x = 20x - 20960", "Subtract 20x from both sides: -19x = -20960", "Divide both sides by -19: x = 20960/19"], "final_answer": "20960/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 20(x - 1048)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1048}", "seed": "9367592804812503581", "semantic_fingerprint": "sha256:4c8546254248ee6beb3fe3f94fccc196dd99a67aa72a05073ff130be613080db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001319", "prompt": "Solve for x: -20x = 30x - 2660", "solution_steps": ["Subtract 30x from both sides: -50x = -2660", "Divide both sides by -50: x = 266/5"], "final_answer": "266/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x = 30x - 2660", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 30, \"c\": 2660}", "seed": "14436750752926275576", "semantic_fingerprint": "sha256:2fc7cfcc2b368cdc5e56cd42cc37daae4eaa67b275fb0eb835a39da547f78b31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001320", "prompt": "What is 6504 / (-49101) + (-4978)?", "solution_steps": ["Divide: 6504 / (-49101) = -2168/16367", "Add: -2168/16367 + (-4978) = -81477094/16367"], "final_answer": "-81477094/16367", "answer_type": "rational", "kind": "expression", "math_text": "6504 / (-49101) + (-4978)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6504, \"b\": -49101, \"c\": -4978}", "seed": "7701254570248029124", "semantic_fingerprint": "sha256:f481922c090cd40ec6c526bd817f649800b92d5f302807c8c596f130ed361f98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001321", "prompt": "Compute: 7958 / (-8390 / 69029)", "solution_steps": ["Divide: -8390 / 69029 = -8390/69029", "Divide: 7958 / (-8390/69029) = -274666391/4195"], "final_answer": "-274666391/4195", "answer_type": "rational", "kind": "expression", "math_text": "7958 / (-8390 / 69029)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7958, \"b\": -8390, \"c\": 69029}", "seed": "10629059983606050838", "semantic_fingerprint": "sha256:41b423023ab1d10e2b1eeb57c79232e08e88c8ff899c259c36931926c239ea0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001322", "prompt": "What is 1199 / (8916 / (-9566))?", "solution_steps": ["Divide: 8916 / (-9566) = -4458/4783", "Divide: 1199 / (-4458/4783) = -5734817/4458"], "final_answer": "-5734817/4458", "answer_type": "rational", "kind": "expression", "math_text": "1199 / (8916 / (-9566))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1199, \"b\": 8916, \"c\": -9566}", "seed": "5106751187917857542", "semantic_fingerprint": "sha256:5fa14f50d40918a51577217b524c2ffa44aac16143db645283045969ca0b5c66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001323", "prompt": "Calculate: -9750 / 97243", "solution_steps": ["Divide: -9750 / 97243 = -9750/97243"], "final_answer": "-9750/97243", "answer_type": "rational", "kind": "expression", "math_text": "-9750 / 97243", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9750, \"b\": 97243}", "seed": "1905612413953311333", "semantic_fingerprint": "sha256:22b107646c6d2a6571e6e415ffddc24dfddb56ae8230cd6224f5032393f7e874", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001324", "prompt": "Calculate: -54349 + (1059 - 2173) / 2008", "solution_steps": ["Subtract: 1059 - 2173 = -1114", "Divide: -1114 / 2008 = -557/1004", "Add: -54349 + (-557/1004) = -54566953/1004"], "final_answer": "-54566953/1004", "answer_type": "rational", "kind": "expression", "math_text": "-54349 + (1059 - 2173) / 2008", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -54349, \"b\": 1059, \"c\": 2173, \"d\": 2008}", "seed": "17349360621157184435", "semantic_fingerprint": "sha256:1687084f4d0427169b586924663cf0c1c50d364de260b709cce4e99be234786c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001325", "prompt": "Compute: 4682 / (-6694 - (-2121))", "solution_steps": ["Subtract: -6694 - (-2121) = -4573", "Divide: 4682 / (-4573) = -4682/4573"], "final_answer": "-4682/4573", "answer_type": "rational", "kind": "expression", "math_text": "4682 / (-6694 - (-2121))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4682, \"b\": -6694, \"c\": -2121}", "seed": "223603648397845540", "semantic_fingerprint": "sha256:65b3bedfd8f1a8568d4f135bfca7eaa1eac48135610037751a1169b508243e77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001326", "prompt": "Calculate: (-4335 + 54557) / (-73030)", "solution_steps": ["Add: -4335 + 54557 = 50222", "Divide: 50222 / (-73030) = -25111/36515"], "final_answer": "-25111/36515", "answer_type": "rational", "kind": "expression", "math_text": "(-4335 + 54557) / (-73030)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4335, \"b\": 54557, \"c\": -73030}", "seed": "7242146961721995137", "semantic_fingerprint": "sha256:22fd75ff3597064bc08a176b0da7e60ed2ff609c3b8f4f683cdc399efb9a7b15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001327", "prompt": "Solve for x: -24(x + 1886) = -19x - 45419", "solution_steps": ["Expand: -24x - 45264 = -19x - 45419", "Add 19x to both sides: -5x - 45264 = -45419", "Add 45264 to both sides: -5x = -155", "Divide both sides by -5: x = 31"], "final_answer": "31", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24(x + 1886) = -19x - 45419", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 1886, \"c\": -19, \"e\": -45419, \"x\": 31}", "seed": "16054043942921656404", "semantic_fingerprint": "sha256:ba696a3d7dd3faec9b98feb3789b7b22f4d3fb3ee3ed4b506b203fdb9d174f78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001328", "prompt": "Compute: -82938 + (-2308)", "solution_steps": ["Add: -82938 + (-2308) = -85246"], "final_answer": "-85246", "answer_type": "integer", "kind": "expression", "math_text": "-82938 + (-2308)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -82938, \"b\": -2308}", "seed": "7542601448018947290", "semantic_fingerprint": "sha256:45cc6248cfbf41ec9fc159be42de1209923d8a0335fb73bd79648e2a70dbe3f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001329", "prompt": "Calculate: 3997 - (2703 - (-39526))", "solution_steps": ["Subtract: 2703 - (-39526) = 42229", "Subtract: 3997 - 42229 = -38232"], "final_answer": "-38232", "answer_type": "integer", "kind": "expression", "math_text": "3997 - (2703 - (-39526))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3997, \"b\": 2703, \"c\": -39526}", "seed": "8237659582068003717", "semantic_fingerprint": "sha256:11ca9dd5432bcd7ab65cb5ccd07963f02fb77033b4c979870f4261173a247659", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001330", "prompt": "Compute: -60280 * (-1873) - (-23480)", "solution_steps": ["Multiply: -60280 * (-1873) = 112904440", "Subtract: 112904440 - (-23480) = 112927920"], "final_answer": "112927920", "answer_type": "integer", "kind": "expression", "math_text": "-60280 * (-1873) - (-23480)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -60280, \"b\": -1873, \"c\": -23480}", "seed": "5715772084771736723", "semantic_fingerprint": "sha256:024957d7d9be4bb8ded733f8b3f83f4b9497d036f1938c6eea8b02666f219369", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001331", "prompt": "Find x: x - 60149 = -28x - 72282", "solution_steps": ["Add 28x to both sides: 29x - 60149 = -72282", "Add 60149 to both sides: 29x = -12133", "Divide both sides by 29: x = -12133/29"], "final_answer": "-12133/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 60149 = -28x - 72282", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60149, \"b\": -28, \"c\": 72282}", "seed": "9848067832215849680", "semantic_fingerprint": "sha256:793de01202ce112bf84bbe8359a06f3ead1968055c9313e76d0fb09bd34d7473", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001332", "prompt": "Compute: (54049 * 3049 + 4002) / 80728", "solution_steps": ["Multiply: 54049 * 3049 = 164795401", "Add: 164795401 + 4002 = 164799403", "Divide: 164799403 / 80728 = 164799403/80728"], "final_answer": "164799403/80728", "answer_type": "rational", "kind": "expression", "math_text": "(54049 * 3049 + 4002) / 80728", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 54049, \"b\": 3049, \"c\": 4002, \"d\": 80728}", "seed": "16416086244407725695", "semantic_fingerprint": "sha256:5c8e8b333f4b435caf9ccbcec4bfa83f7f2a8b4ebe351d6ae247dda463b4173c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001333", "prompt": "What is -25968 * 87749?", "solution_steps": ["Multiply: -25968 * 87749 = -2278666032"], "final_answer": "-2278666032", "answer_type": "integer", "kind": "expression", "math_text": "-25968 * 87749", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -25968, \"b\": 87749}", "seed": "6271894780785967405", "semantic_fingerprint": "sha256:117e5eb6786a3219edfd4634bb56ac2813de349665bdcb01304f2a5c17665249", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001334", "prompt": "Evaluate: 8235 / 17734 * (-1059 - 77657)", "solution_steps": ["Divide: 8235 / 17734 = 8235/17734", "Subtract: -1059 - 77657 = -78716", "Multiply: (8235/17734) * (-78716) = -324113130/8867"], "final_answer": "-324113130/8867", "answer_type": "rational", "kind": "expression", "math_text": "8235 / 17734 * (-1059 - 77657)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8235, \"b\": 17734, \"c\": -1059, \"d\": 77657}", "seed": "15618757761177200022", "semantic_fingerprint": "sha256:10122a9d446960675d5be58609594848c63e0dc52472b529888fd7acdd73c6d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001335", "prompt": "Evaluate: -6619 / 11969", "solution_steps": ["Divide: -6619 / 11969 = -6619/11969"], "final_answer": "-6619/11969", "answer_type": "rational", "kind": "expression", "math_text": "-6619 / 11969", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6619, \"b\": 11969}", "seed": "1822399054517264015", "semantic_fingerprint": "sha256:75eb2576f1e1d0b1b124dbcade6151da893e1c9503f8a1c4a987de11c3fba345", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001336", "prompt": "Solve for x: x = 33(x + 8793)", "solution_steps": ["Expand: x = 33x + 290169", "Subtract 33x from both sides: -32x = 290169", "Divide both sides by -32: x = -290169/32"], "final_answer": "-290169/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 33(x + 8793)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 8793}", "seed": "9989427813317895668", "semantic_fingerprint": "sha256:027bac09ef289fdca435567a557605ee99ef2b03f12fb5ed317c7704dccdb33b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001337", "prompt": "Evaluate: -3852 * 15795 * (-7085)", "solution_steps": ["Multiply: -3852 * 15795 = -60842340", "Multiply: -60842340 * (-7085) = 431067978900"], "final_answer": "431067978900", "answer_type": "integer", "kind": "expression", "math_text": "-3852 * 15795 * (-7085)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3852, \"b\": 15795, \"c\": -7085}", "seed": "16516563011310254623", "semantic_fingerprint": "sha256:104e3c6a12073a9c2c6e0b0b52c61bfe1288dae92a479342c62c5ac522478fc3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001338", "prompt": "What is -67476 - (-5428)?", "solution_steps": ["Subtract: -67476 - (-5428) = -62048"], "final_answer": "-62048", "answer_type": "integer", "kind": "expression", "math_text": "-67476 - (-5428)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -67476, \"b\": -5428}", "seed": "17219548259375317252", "semantic_fingerprint": "sha256:1b8adfc97f292c44b0bb1b1e2b322a9fded65bfbd0c1c327d6d9b8959ded06d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001339", "prompt": "Evaluate: (-56151 * 13079 - 78069 - (-3635)) / (-7118 + (-34740))", "solution_steps": ["Multiply: -56151 * 13079 = -734398929", "Subtract: -734398929 - 78069 = -734476998", "Subtract: -734476998 - (-3635) = -734473363", "Add: -7118 + (-34740) = -41858", "Divide: -734473363 / (-41858) = 734473363/41858"], "final_answer": "734473363/41858", "answer_type": "rational", "kind": "expression", "math_text": "(-56151 * 13079 - 78069 - (-3635)) / (-7118 + (-34740))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (* n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -56151, \"b\": 13079, \"c\": 78069, \"d\": -3635, \"e\": -7118, \"f\": -34740}", "seed": "15866493638052352585", "semantic_fingerprint": "sha256:9f9dfbd1a5be40102d740d43369e13377edc5c393fb1ed8ad16b5e746b6a174f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001340", "prompt": "What value of x satisfies -21(x - 8172) - 8115 = 16(x - 66702) + 47869?", "solution_steps": ["Expand: -21x + 171612 - 8115 = 16(x - 66702) + 47869", "Expand: -21x + 171612 - 8115 = 16x - 1067232 + 47869", "Combine constants: -21x + 163497 = 16x - 1067232 + 47869", "Combine constants: -21x + 163497 = 16x - 1019363", "Subtract 16x from both sides: -37x + 163497 = -1019363", "Subtract 163497 from both sides: -37x = -1182860", "Divide both sides by -37: x = 1182860/37"], "final_answer": "1182860/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 8172) - 8115 = 16(x - 66702) + 47869", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 8172, \"c\": 8115, \"d\": 16, \"e\": 66702, \"f\": 47869}", "seed": "13146803356517539819", "semantic_fingerprint": "sha256:39ca39b04b45a911fd1abdd6eb4573e21dc69abc59b6d9f342d868f233bdcf74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001341", "prompt": "Find x: x - 3360 = 36x", "solution_steps": ["Subtract 36x from both sides: -35x - 3360 = 0", "Add 3360 to both sides: -35x = 3360", "Divide both sides by -35: x = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3360 = 36x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"c\": -3360, \"x\": -96}", "seed": "16258605132930072138", "semantic_fingerprint": "sha256:8cd4bdea267c463013ad5ed2100e1ba92daac3a4a5638711214916147ed45206", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001342", "prompt": "What value of x satisfies 13x + 5746 = -21x?", "solution_steps": ["Add 21x to both sides: 34x + 5746 = 0", "Subtract 5746 from both sides: 34x = -5746", "Divide both sides by 34: x = -169"], "final_answer": "-169", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 5746 = -21x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": -21, \"d\": 5746, \"x\": -169}", "seed": "6798820830252975762", "semantic_fingerprint": "sha256:c5fe99132218a4d58d2936a76f5a144392ac79b7d234fe34c9abaca929213952", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001343", "prompt": "Calculate: 9086 * (3525 - (-8104)) + 8456", "solution_steps": ["Subtract: 3525 - (-8104) = 11629", "Multiply: 9086 * 11629 = 105661094", "Add: 105661094 + 8456 = 105669550"], "final_answer": "105669550", "answer_type": "integer", "kind": "expression", "math_text": "9086 * (3525 - (-8104)) + 8456", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9086, \"b\": 3525, \"c\": -8104, \"d\": 8456}", "seed": "8641581513183395321", "semantic_fingerprint": "sha256:74216a7168b44746772701decbbdbf40ae0a96f80360f4fccdb35296d7baf6fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001344", "prompt": "What is 28391 + 30300 - 8801 * (-5030 * (-4611 / (-6903)))?", "solution_steps": ["Add: 28391 + 30300 = 58691", "Divide: -4611 / (-6903) = 1537/2301", "Multiply: -5030 * (1537/2301) = -7731110/2301", "Multiply: 8801 * (-7731110/2301) = -5233961470/177", "Subtract: 58691 - (-5233961470/177) = 5244349777/177"], "final_answer": "5244349777/177", "answer_type": "rational", "kind": "expression", "math_text": "28391 + 30300 - 8801 * (-5030 * (-4611 / (-6903)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* n (* n (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28391, \"b\": 30300, \"c\": 8801, \"d\": -5030, \"e\": -4611, \"f\": -6903}", "seed": "7098763940639230133", "semantic_fingerprint": "sha256:231b3351b8837b6379e5f45c52a32a16b676925c65a8705736c7a6607981d96a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001345", "prompt": "Calculate: 1329 / (5150 - (-63532 + 3805) - 1229)", "solution_steps": ["Add: -63532 + 3805 = -59727", "Subtract: 5150 - (-59727) = 64877", "Subtract: 64877 - 1229 = 63648", "Divide: 1329 / 63648 = 443/21216"], "final_answer": "443/21216", "answer_type": "rational", "kind": "expression", "math_text": "1329 / (5150 - (-63532 + 3805) - 1229)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1329, \"b\": 5150, \"c\": -63532, \"d\": 3805, \"e\": 1229}", "seed": "15385124299335350657", "semantic_fingerprint": "sha256:f8bee4bf7df8cb310784d8d4c76cb2bec4245a9798e23ca3a12ff31188b3d3b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001346", "prompt": "Calculate: 98534 * 91787", "solution_steps": ["Multiply: 98534 * 91787 = 9044140258"], "final_answer": "9044140258", "answer_type": "integer", "kind": "expression", "math_text": "98534 * 91787", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 98534, \"b\": 91787}", "seed": "15786585659034673223", "semantic_fingerprint": "sha256:5c6a7b4522811f98d2147bd7b069afada0f18373905c0e7d8ee815140d1dd275", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001347", "prompt": "Solve for x: -26x - 7422 = -12206", "solution_steps": ["Add 7422 to both sides: -26x = -4784", "Divide both sides by -26: x = 184"], "final_answer": "184", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x - 7422 = -12206", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 7422, \"d\": -12206, \"x\": 184}", "seed": "16653160992491945031", "semantic_fingerprint": "sha256:1c0532041f0e70b9393c42bc21e0dc42887729834492854530fa26f4af6aa69d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001348", "prompt": "Find x: 14(x - 2504) = x - 34016", "solution_steps": ["Expand: 14x - 35056 = x - 34016", "Subtract x from both sides: 13x - 35056 = -34016", "Add 35056 to both sides: 13x = 1040", "Divide both sides by 13: x = 80"], "final_answer": "80", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 2504) = x - 34016", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2504, \"d\": -34016, \"x\": 80}", "seed": "10545069312322430434", "semantic_fingerprint": "sha256:4b14ab03a20097d4b5db163166d3c8fe8c90de1b3fb3a4b1cd155edbc7b12ac2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001349", "prompt": "Calculate: (6720 + 7962) / (-9492)", "solution_steps": ["Add: 6720 + 7962 = 14682", "Divide: 14682 / (-9492) = -2447/1582"], "final_answer": "-2447/1582", "answer_type": "rational", "kind": "expression", "math_text": "(6720 + 7962) / (-9492)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6720, \"b\": 7962, \"c\": -9492}", "seed": "12803296921024093408", "semantic_fingerprint": "sha256:7dfd7c8a839b87d4f52ba50414beec0ef3ca95425e7ce3ec3d0b3a43fc7f7704", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001350", "prompt": "Find x: -15(x + 1538) + 6474 = 35x - 2113", "solution_steps": ["Expand: -15x - 23070 + 6474 = 35x - 2113", "Combine constants: -15x - 16596 = 35x - 2113", "Subtract 35x from both sides: -50x - 16596 = -2113", "Add 16596 to both sides: -50x = 14483", "Divide both sides by -50: x = -14483/50"], "final_answer": "-14483/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x + 1538) + 6474 = 35x - 2113", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 1538, \"c\": 6474, \"d\": 35, \"e\": 2113}", "seed": "16725361556982211203", "semantic_fingerprint": "sha256:c10dbcb7c4bbe84a79a22d81d681e2978f6b86e89b8366f88ffef2ea3e81b597", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001351", "prompt": "What value of x satisfies x - 51080 = -29(x + 1660)?", "solution_steps": ["Expand: x - 51080 = -29x - 48140", "Add 29x to both sides: 30x - 51080 = -48140", "Add 51080 to both sides: 30x = 2940", "Divide both sides by 30: x = 98"], "final_answer": "98", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 51080 = -29(x + 1660)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 1660, \"d\": -51080, \"x\": 98}", "seed": "2564016628349687216", "semantic_fingerprint": "sha256:e0c08c3cfa97615c41784bcfa78a3bbf947d6c204fea6ae292d42db064fecc05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001352", "prompt": "Solve for x: x + 2665 = -16(x + 77793) - 7963", "solution_steps": ["Expand: x + 2665 = -16x - 1244688 - 7963", "Combine constants: x + 2665 = -16x - 1252651", "Add 16x to both sides: 17x + 2665 = -1252651", "Subtract 2665 from both sides: 17x = -1255316", "Divide both sides by 17: x = -1255316/17"], "final_answer": "-1255316/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2665 = -16(x + 77793) - 7963", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2665, \"b\": -16, \"c\": 77793, \"d\": 7963}", "seed": "2144001164651094002", "semantic_fingerprint": "sha256:050b31cf5c2447edbdcd99a84c8d6646a7fda16e9ea24c2d841710cd0f80c65a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001353", "prompt": "Calculate: -69953 - (10771 + 19217 * (-57896))", "solution_steps": ["Multiply: 19217 * (-57896) = -1112587432", "Add: 10771 + (-1112587432) = -1112576661", "Subtract: -69953 - (-1112576661) = 1112506708"], "final_answer": "1112506708", "answer_type": "integer", "kind": "expression", "math_text": "-69953 - (10771 + 19217 * (-57896))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -69953, \"b\": 10771, \"c\": 19217, \"d\": -57896}", "seed": "5856796195308524314", "semantic_fingerprint": "sha256:e4a29a8088417819b89b1a9d31273cebd9b48e469b002af50a07039346c25621", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001354", "prompt": "What is -8337 + (-5922) - (-99227)?", "solution_steps": ["Add: -8337 + (-5922) = -14259", "Subtract: -14259 - (-99227) = 84968"], "final_answer": "84968", "answer_type": "integer", "kind": "expression", "math_text": "-8337 + (-5922) - (-99227)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8337, \"b\": -5922, \"c\": -99227}", "seed": "8734807899960599777", "semantic_fingerprint": "sha256:8b794fbb6474aa4ffee9b2afabf543f992b393499aa58a0279b17aa1379f3fed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001355", "prompt": "What value of x satisfies x = 37(x + 2456) - 89612?", "solution_steps": ["Expand: x = 37x + 90872 - 89612", "Combine constants: x = 37x + 1260", "Subtract 37x from both sides: -36x = 1260", "Divide both sides by -36: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 37(x + 2456) - 89612", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2456, \"d\": -89612, \"x\": -35}", "seed": "15383738599299712047", "semantic_fingerprint": "sha256:eddc55f0689fabc67152753b73d1264a6c31351477fc66ef4662a766a918b8c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001356", "prompt": "Calculate: 3659 + (-23785) - (-97227 + (-19536)) * 55951", "solution_steps": ["Add: 3659 + (-23785) = -20126", "Add: -97227 + (-19536) = -116763", "Multiply: -116763 * 55951 = -6533006613", "Subtract: -20126 - (-6533006613) = 6532986487"], "final_answer": "6532986487", "answer_type": "integer", "kind": "expression", "math_text": "3659 + (-23785) - (-97227 + (-19536)) * 55951", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3659, \"b\": -23785, \"c\": -97227, \"d\": -19536, \"e\": 55951}", "seed": "3951266165130527121", "semantic_fingerprint": "sha256:9f92e090a2f722f25afe56ab30a5767215bffd17200a3ee3e2dd9f9a6abca7a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001357", "prompt": "What is 9014 + (-30331) - (-14381)?", "solution_steps": ["Add: 9014 + (-30331) = -21317", "Subtract: -21317 - (-14381) = -6936"], "final_answer": "-6936", "answer_type": "integer", "kind": "expression", "math_text": "9014 + (-30331) - (-14381)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9014, \"b\": -30331, \"c\": -14381}", "seed": "14140832563429877433", "semantic_fingerprint": "sha256:7eb7564dc8f44c8b706bd268260181447a201c0f63de2293b137555bdc2dd28e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001358", "prompt": "Find x: x - 5650 = -3295", "solution_steps": ["Add 5650 to both sides: x = 2355"], "final_answer": "2355", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5650 = -3295", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5650, \"b\": -3295}", "seed": "3550245046709632440", "semantic_fingerprint": "sha256:9c6251226ed5bc31245587c55af23eff5faaa1af59cebe05555cd399cab4977a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001359", "prompt": "Compute: 5303 - (-8243) * (9546 - 9300) / (9459 - (-7949))", "solution_steps": ["Subtract: 9546 - 9300 = 246", "Multiply: -8243 * 246 = -2027778", "Subtract: 9459 - (-7949) = 17408", "Divide: -2027778 / 17408 = -1013889/8704", "Subtract: 5303 - (-1013889/8704) = 47171201/8704"], "final_answer": "47171201/8704", "answer_type": "rational", "kind": "expression", "math_text": "5303 - (-8243) * (9546 - 9300) / (9459 - (-7949))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (* n (- n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5303, \"b\": -8243, \"c\": 9546, \"d\": 9300, \"e\": 9459, \"f\": -7949}", "seed": "5019322770189298887", "semantic_fingerprint": "sha256:ebb24af9c4730326b2d7e07ed2c0d6f31d6abcb650a89eab5401b56681b8777b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001360", "prompt": "Evaluate: -8415 + (-4376) * (-2907)", "solution_steps": ["Multiply: -4376 * (-2907) = 12721032", "Add: -8415 + 12721032 = 12712617"], "final_answer": "12712617", "answer_type": "integer", "kind": "expression", "math_text": "-8415 + (-4376) * (-2907)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8415, \"b\": -4376, \"c\": -2907}", "seed": "11918853292119659705", "semantic_fingerprint": "sha256:aed003687a940a3c3ee89ea0d1c861d03e5440c26c5109f54b49ccf973788e98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001361", "prompt": "What value of x satisfies -28x = 36x - 3712?", "solution_steps": ["Subtract 36x from both sides: -64x = -3712", "Divide both sides by -64: x = 58"], "final_answer": "58", "answer_type": "integer", "kind": "linear_equation", "math_text": "-28x = 36x - 3712", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 36, \"d\": -3712, \"x\": 58}", "seed": "5961669562480080207", "semantic_fingerprint": "sha256:1bf3187a074bbedd9bbfefa92cf27eb8b8576e92ee35148502ab4e0ba29491a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001362", "prompt": "Solve the equation -32x = 35x + 5695 for x.", "solution_steps": ["Subtract 35x from both sides: -67x = 5695", "Divide both sides by -67: x = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x = 35x + 5695", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 35, \"d\": 5695, \"x\": -85}", "seed": "12489054501870876180", "semantic_fingerprint": "sha256:1fe847affed050038cad6ba2f60f0f08432d55cf078481707862f6b556b99f72", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001363", "prompt": "Compute: -7511 + (-13354)", "solution_steps": ["Add: -7511 + (-13354) = -20865"], "final_answer": "-20865", "answer_type": "integer", "kind": "expression", "math_text": "-7511 + (-13354)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7511, \"b\": -13354}", "seed": "18135293741894048342", "semantic_fingerprint": "sha256:46fa277838bea3d2605322ac0a9c673f2ab65d4054968cbd405668ac6ae0e1df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001364", "prompt": "Solve for x: 29x = -17(x - 7959)", "solution_steps": ["Expand: 29x = -17x + 135303", "Add 17x to both sides: 46x = 135303", "Divide both sides by 46: x = 135303/46"], "final_answer": "135303/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x = -17(x - 7959)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": -17, \"c\": 7959}", "seed": "3126975256596418601", "semantic_fingerprint": "sha256:596e449cb1c8a5cf08e7abc6feb39767eb98d326414ba6b200745394489bc070", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001365", "prompt": "Calculate: (7655 - (-28290)) / 5256", "solution_steps": ["Subtract: 7655 - (-28290) = 35945", "Divide: 35945 / 5256 = 35945/5256"], "final_answer": "35945/5256", "answer_type": "rational", "kind": "expression", "math_text": "(7655 - (-28290)) / 5256", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7655, \"b\": -28290, \"c\": 5256}", "seed": "1787102843185891116", "semantic_fingerprint": "sha256:6f1ef11a8544a7e9304ec9820fbe4d2921c22e884857f77ae79fd80929e107f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001366", "prompt": "What is 6031 + (-2500) / 7645?", "solution_steps": ["Divide: -2500 / 7645 = -500/1529", "Add: 6031 + (-500/1529) = 9220899/1529"], "final_answer": "9220899/1529", "answer_type": "rational", "kind": "expression", "math_text": "6031 + (-2500) / 7645", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6031, \"b\": -2500, \"c\": 7645}", "seed": "749561799358717137", "semantic_fingerprint": "sha256:2b49792cad85b553de42cb3f53c859f5d07ace99b7ff996aa822a19008ea963c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001367", "prompt": "Find x: -27(x - 5150) + 35736 = 75787", "solution_steps": ["Expand: -27x + 139050 + 35736 = 75787", "Combine constants: -27x + 174786 = 75787", "Subtract 174786 from both sides: -27x = -98999", "Divide both sides by -27: x = 98999/27"], "final_answer": "98999/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x - 5150) + 35736 = 75787", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 5150, \"c\": 35736, \"d\": 75787}", "seed": "8914742424477439911", "semantic_fingerprint": "sha256:814dadd369015bbc644b93f7934367d83a1a4771e87b0ed9c6a3335e2c9647ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001368", "prompt": "Evaluate: -5860 + (5108 + 7753 - (-1669))", "solution_steps": ["Add: 5108 + 7753 = 12861", "Subtract: 12861 - (-1669) = 14530", "Add: -5860 + 14530 = 8670"], "final_answer": "8670", "answer_type": "integer", "kind": "expression", "math_text": "-5860 + (5108 + 7753 - (-1669))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5860, \"b\": 5108, \"c\": 7753, \"d\": -1669}", "seed": "15661549066444993133", "semantic_fingerprint": "sha256:3445239a9ac0eb37a3dbcca67ffbaea94322bf5cef90ad0f79e9afb5f6729fb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001369", "prompt": "Evaluate: -9383 / ((-52971 - (-8167)) / (-5276)) + (-5982)", "solution_steps": ["Subtract: -52971 - (-8167) = -44804", "Divide: -44804 / (-5276) = 11201/1319", "Divide: -9383 / (11201/1319) = -12376177/11201", "Add: -12376177/11201 + (-5982) = -79380559/11201"], "final_answer": "-79380559/11201", "answer_type": "rational", "kind": "expression", "math_text": "-9383 / ((-52971 - (-8167)) / (-5276)) + (-5982)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9383, \"b\": -52971, \"c\": -8167, \"d\": -5276, \"e\": -5982}", "seed": "16677440974025143677", "semantic_fingerprint": "sha256:45ea818253903ea379059166c0a06b7242741ffd0701d79baa4dd10e2476ca79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001370", "prompt": "Find x: -14x = 25x - 1872", "solution_steps": ["Subtract 25x from both sides: -39x = -1872", "Divide both sides by -39: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x = 25x - 1872", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 25, \"d\": -1872, \"x\": 48}", "seed": "3718846712714948939", "semantic_fingerprint": "sha256:ea17992c8e53c7244781a6f5bc1832af456f572ed794e13a3824b2405a48761b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001371", "prompt": "Find x: 13(x - 11833) + 6064 = -86617", "solution_steps": ["Expand: 13x - 153829 + 6064 = -86617", "Combine constants: 13x - 147765 = -86617", "Add 147765 to both sides: 13x = 61148", "Divide both sides by 13: x = 61148/13"], "final_answer": "61148/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 11833) + 6064 = -86617", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 11833, \"c\": 6064, \"d\": -86617}", "seed": "3900387126952152614", "semantic_fingerprint": "sha256:0f64535a5e09081b242f8e0bf5195f58ff8c688e1f6c4a1f3db9d02e92df5a40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001372", "prompt": "Solve for x: x + 45371 = -36(x - 1786) - 17260", "solution_steps": ["Expand: x + 45371 = -36x + 64296 - 17260", "Combine constants: x + 45371 = -36x + 47036", "Add 36x to both sides: 37x + 45371 = 47036", "Subtract 45371 from both sides: 37x = 1665", "Divide both sides by 37: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 45371 = -36(x - 1786) - 17260", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 45371, \"b\": -36, \"c\": 1786, \"e\": -17260, \"x\": 45}", "seed": "8199594638882978870", "semantic_fingerprint": "sha256:c1ef030dcc5aae8a585ffe5cc67f9b2bb65caa4aaf9e7c853a9ee6fc9ef24975", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001373", "prompt": "Solve the equation -28x - 2634 = x + 57960 for x.", "solution_steps": ["Subtract x from both sides: -29x - 2634 = 57960", "Add 2634 to both sides: -29x = 60594", "Divide both sides by -29: x = -60594/29"], "final_answer": "-60594/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-28x - 2634 = x + 57960", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 2634, \"c\": 57960}", "seed": "8964487630374934887", "semantic_fingerprint": "sha256:751cf401551d3a183c47ca8bdcd4bf846207a3a6f3b8891cd2bd9fada8de2ac0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001374", "prompt": "Solve for x: -19x - 18728 = -22471", "solution_steps": ["Add 18728 to both sides: -19x = -3743", "Divide both sides by -19: x = 197"], "final_answer": "197", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x - 18728 = -22471", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 18728, \"d\": -22471, \"x\": 197}", "seed": "17473930549965112883", "semantic_fingerprint": "sha256:c5c1ac1e258433c6fd9341bc2ce262d967208e9370ab148fa852e32786fdd008", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001375", "prompt": "Calculate: 7852 * 21100", "solution_steps": ["Multiply: 7852 * 21100 = 165677200"], "final_answer": "165677200", "answer_type": "integer", "kind": "expression", "math_text": "7852 * 21100", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7852, \"b\": 21100}", "seed": "6206768141070300234", "semantic_fingerprint": "sha256:85811753711d9b5ed4d56192141c1406136c00f8dad9eb99098e7087913ccb57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001376", "prompt": "What is -6015 * 6347 + (-99356)?", "solution_steps": ["Multiply: -6015 * 6347 = -38177205", "Add: -38177205 + (-99356) = -38276561"], "final_answer": "-38276561", "answer_type": "integer", "kind": "expression", "math_text": "-6015 * 6347 + (-99356)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6015, \"b\": 6347, \"c\": -99356}", "seed": "2824558212389953337", "semantic_fingerprint": "sha256:e02d182586d1031b86c7a817444b97a0c1b4e4cf427b90684408feb52af3ad9b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001377", "prompt": "What is 6238 * (-3259)?", "solution_steps": ["Multiply: 6238 * (-3259) = -20329642"], "final_answer": "-20329642", "answer_type": "integer", "kind": "expression", "math_text": "6238 * (-3259)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6238, \"b\": -3259}", "seed": "12192515701234311876", "semantic_fingerprint": "sha256:937aa29e38b7327cd03537d7b826305cd00b0dee17ea17f17ae884d0836b85dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001378", "prompt": "Find x: -14(x + 7530) - 3785 = 61271", "solution_steps": ["Expand: -14x - 105420 - 3785 = 61271", "Combine constants: -14x - 109205 = 61271", "Add 109205 to both sides: -14x = 170476", "Divide both sides by -14: x = -85238/7"], "final_answer": "-85238/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 7530) - 3785 = 61271", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 7530, \"c\": 3785, \"d\": 61271}", "seed": "15070033283618221717", "semantic_fingerprint": "sha256:d4c057e32bf75f8fc7cfb09d0eb7a058a4cd1d2fdddf1d5e08e32addabc40630", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001379", "prompt": "What is 53893 / (2114 / (-23675))?", "solution_steps": ["Divide: 2114 / (-23675) = -2114/23675", "Divide: 53893 / (-2114/23675) = -182273825/302"], "final_answer": "-182273825/302", "answer_type": "rational", "kind": "expression", "math_text": "53893 / (2114 / (-23675))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 53893, \"b\": 2114, \"c\": -23675}", "seed": "7219960947739887222", "semantic_fingerprint": "sha256:9064551e703c7f18889ec19b86e6d44d82ddc16bdb2344679925fa62bad27d7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001380", "prompt": "Evaluate: -3264 - (-4218) + (4109 + (-5253))", "solution_steps": ["Subtract: -3264 - (-4218) = 954", "Add: 4109 + (-5253) = -1144", "Add: 954 + (-1144) = -190"], "final_answer": "-190", "answer_type": "integer", "kind": "expression", "math_text": "-3264 - (-4218) + (4109 + (-5253))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3264, \"b\": -4218, \"c\": 4109, \"d\": -5253}", "seed": "2503073497746442940", "semantic_fingerprint": "sha256:1d772fff45989b13f5acdc8760233f2a46254ad588a719eaf251e0c29987143d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001381", "prompt": "What value of x satisfies -14x - 4457 = 17(x - 1509) + 17166?", "solution_steps": ["Expand: -14x - 4457 = 17x - 25653 + 17166", "Combine constants: -14x - 4457 = 17x - 8487", "Subtract 17x from both sides: -31x - 4457 = -8487", "Add 4457 to both sides: -31x = -4030", "Divide both sides by -31: x = 130"], "final_answer": "130", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x - 4457 = 17(x - 1509) + 17166", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 4457, \"c\": 17, \"d\": 1509, \"f\": 17166, \"x\": 130}", "seed": "16886049871503869709", "semantic_fingerprint": "sha256:61774c6dae831aabe42435ad788d3355636e8db3897ae58a4807188de07ef693", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001382", "prompt": "What is -7838 + 3112 * (-34602) - (-77700)?", "solution_steps": ["Multiply: 3112 * (-34602) = -107681424", "Add: -7838 + (-107681424) = -107689262", "Subtract: -107689262 - (-77700) = -107611562"], "final_answer": "-107611562", "answer_type": "integer", "kind": "expression", "math_text": "-7838 + 3112 * (-34602) - (-77700)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7838, \"b\": 3112, \"c\": -34602, \"d\": -77700}", "seed": "5956214424461145548", "semantic_fingerprint": "sha256:5aa12aa5271fa5cb0e01a9f610d90c5a28674cd1592c20a2cbf5a62b81a1dc75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001383", "prompt": "What is 1226 / (-5951) - 5918?", "solution_steps": ["Divide: 1226 / (-5951) = -1226/5951", "Subtract: -1226/5951 - 5918 = -35219244/5951"], "final_answer": "-35219244/5951", "answer_type": "rational", "kind": "expression", "math_text": "1226 / (-5951) - 5918", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1226, \"b\": -5951, \"c\": 5918}", "seed": "15107625008844558764", "semantic_fingerprint": "sha256:29d73accd541b3301cda3ebab013acb62a05600acef86a789b7cd56d8bb6e1a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001384", "prompt": "Solve for x: 13(x - 6908) = x + 90536", "solution_steps": ["Expand: 13x - 89804 = x + 90536", "Subtract x from both sides: 12x - 89804 = 90536", "Add 89804 to both sides: 12x = 180340", "Divide both sides by 12: x = 45085/3"], "final_answer": "45085/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 6908) = x + 90536", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 6908, \"c\": 90536}", "seed": "5333696981479437258", "semantic_fingerprint": "sha256:2ffe3c3c5e4d97765f008ebfb7160f4ba692e124148b383c64921086083bba0a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001385", "prompt": "Compute: 6455 / (-84588)", "solution_steps": ["Divide: 6455 / (-84588) = -6455/84588"], "final_answer": "-6455/84588", "answer_type": "rational", "kind": "expression", "math_text": "6455 / (-84588)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6455, \"b\": -84588}", "seed": "3463055398449238769", "semantic_fingerprint": "sha256:d028e0c66932e9c08fb61d6f5a7771f9d0ba82a1c6fa6e75ab40b880582efe59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001386", "prompt": "Solve the equation 15(x + 7891) = 24(x + 9159) for x.", "solution_steps": ["Expand: 15x + 118365 = 24(x + 9159)", "Expand: 15x + 118365 = 24x + 219816", "Subtract 24x from both sides: -9x + 118365 = 219816", "Subtract 118365 from both sides: -9x = 101451", "Divide both sides by -9: x = -33817/3"], "final_answer": "-33817/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 7891) = 24(x + 9159)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 7891, \"c\": 24, \"d\": 9159}", "seed": "18167750303825476710", "semantic_fingerprint": "sha256:528240f1ac4ec1230c4cd49a99e67feb486d60ecf53a6b116566d49e104af66d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001387", "prompt": "Evaluate: (3881 + 3617) / (-5048) * 1196 - (-7895)", "solution_steps": ["Add: 3881 + 3617 = 7498", "Divide: 7498 / (-5048) = -3749/2524", "Multiply: (-3749/2524) * 1196 = -1120951/631", "Subtract: -1120951/631 - (-7895) = 3860794/631"], "final_answer": "3860794/631", "answer_type": "rational", "kind": "expression", "math_text": "(3881 + 3617) / (-5048) * 1196 - (-7895)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3881, \"b\": 3617, \"c\": -5048, \"d\": 1196, \"e\": -7895}", "seed": "10645542886592959915", "semantic_fingerprint": "sha256:5f529f1cb1dde406b2f9ccce5f1882adeb8d516eaebe2360bb1f4ed47ab11681", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001388", "prompt": "Evaluate: 87878 - (6401 - (-8156) * 24370)", "solution_steps": ["Multiply: -8156 * 24370 = -198761720", "Subtract: 6401 - (-198761720) = 198768121", "Subtract: 87878 - 198768121 = -198680243"], "final_answer": "-198680243", "answer_type": "integer", "kind": "expression", "math_text": "87878 - (6401 - (-8156) * 24370)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 87878, \"b\": 6401, \"c\": -8156, \"d\": 24370}", "seed": "2309105894705728180", "semantic_fingerprint": "sha256:68cafbc7afd396a5b0b9f1f143707df6336a0337ce68c39d49d9cf7486559e69", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001389", "prompt": "What is 75423 / (-7165) * 93625?", "solution_steps": ["Divide: 75423 / (-7165) = -75423/7165", "Multiply: (-75423/7165) * 93625 = -1412295675/1433"], "final_answer": "-1412295675/1433", "answer_type": "rational", "kind": "expression", "math_text": "75423 / (-7165) * 93625", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75423, \"b\": -7165, \"c\": 93625}", "seed": "16263150396394432954", "semantic_fingerprint": "sha256:0bd0c3f5a821427eefccada3368befc9af12be6c04aab297add72be39c4a0079", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001390", "prompt": "Solve the equation -26x - 1540 = 18x for x.", "solution_steps": ["Subtract 18x from both sides: -44x - 1540 = 0", "Add 1540 to both sides: -44x = 1540", "Divide both sides by -44: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x - 1540 = 18x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 18, \"d\": -1540, \"x\": -35}", "seed": "6596316271044438234", "semantic_fingerprint": "sha256:7ae5e14c764bf8cd24dc382bd9253728c18f593990f6c50fa2cf7f410190a1b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001391", "prompt": "Evaluate: -48519 + (-7221)", "solution_steps": ["Add: -48519 + (-7221) = -55740"], "final_answer": "-55740", "answer_type": "integer", "kind": "expression", "math_text": "-48519 + (-7221)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -48519, \"b\": -7221}", "seed": "16042300482008514696", "semantic_fingerprint": "sha256:8fd0a2ec0d5c59e0253864ff0e8080c562258417394604b7f4b424614691785a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001392", "prompt": "What is -7979 - (6901 + (-11027))?", "solution_steps": ["Add: 6901 + (-11027) = -4126", "Subtract: -7979 - (-4126) = -3853"], "final_answer": "-3853", "answer_type": "integer", "kind": "expression", "math_text": "-7979 - (6901 + (-11027))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7979, \"b\": 6901, \"c\": -11027}", "seed": "18434743249775535427", "semantic_fingerprint": "sha256:bfef03949a4f19eaa16de42a1f1656c4a2710e9ead676ba56bc3d603ef8bd0bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001393", "prompt": "Compute: -8333 / 69926", "solution_steps": ["Divide: -8333 / 69926 = -8333/69926"], "final_answer": "-8333/69926", "answer_type": "rational", "kind": "expression", "math_text": "-8333 / 69926", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8333, \"b\": 69926}", "seed": "3938651081749500079", "semantic_fingerprint": "sha256:5c300aa158a55d5d97bd8b725de60b9ee32dcb6b0ac10bb3d4a66b7b9a4c0ae2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001394", "prompt": "Solve the equation x = -23x + 2544 for x.", "solution_steps": ["Add 23x to both sides: 24x = 2544", "Divide both sides by 24: x = 106"], "final_answer": "106", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -23x + 2544", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23, \"c\": 2544, \"x\": 106}", "seed": "2076543000232684085", "semantic_fingerprint": "sha256:c7f8d66479b58c262a9caedfd9dc7f05f92730590c0295637a1ef8352d8fdd1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001395", "prompt": "Evaluate: (-46743 - (-81236)) / 6745", "solution_steps": ["Subtract: -46743 - (-81236) = 34493", "Divide: 34493 / 6745 = 34493/6745"], "final_answer": "34493/6745", "answer_type": "rational", "kind": "expression", "math_text": "(-46743 - (-81236)) / 6745", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46743, \"b\": -81236, \"c\": 6745}", "seed": "13419268442186261835", "semantic_fingerprint": "sha256:e309d95b630f1e3fe1bfbe60bcea6124db00b7159ce7ca7397aa23237cef2da6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001396", "prompt": "What is -9347 + 1088?", "solution_steps": ["Add: -9347 + 1088 = -8259"], "final_answer": "-8259", "answer_type": "integer", "kind": "expression", "math_text": "-9347 + 1088", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9347, \"b\": 1088}", "seed": "17552757464938548354", "semantic_fingerprint": "sha256:0a9f48678aba123255e44d69800a28a3e1e7d98cb1f345843fcfbdfea87c5956", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001397", "prompt": "What value of x satisfies 21(x + 4751) = 23(x - 36533)?", "solution_steps": ["Expand: 21x + 99771 = 23(x - 36533)", "Expand: 21x + 99771 = 23x - 840259", "Subtract 23x from both sides: -2x + 99771 = -840259", "Subtract 99771 from both sides: -2x = -940030", "Divide both sides by -2: x = 470015"], "final_answer": "470015", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 4751) = 23(x - 36533)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4751, \"c\": 23, \"d\": 36533}", "seed": "12549643778644048936", "semantic_fingerprint": "sha256:c932cb5ba842d20e93f4e010d0829016696b69593148520bc476f28c2d5e2775", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001398", "prompt": "What is -65829 - (-2346 * (-8367) - (-5699))?", "solution_steps": ["Multiply: -2346 * (-8367) = 19628982", "Subtract: 19628982 - (-5699) = 19634681", "Subtract: -65829 - 19634681 = -19700510"], "final_answer": "-19700510", "answer_type": "integer", "kind": "expression", "math_text": "-65829 - (-2346 * (-8367) - (-5699))", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -65829, \"b\": -2346, \"c\": -8367, \"d\": -5699}", "seed": "9481908942640778732", "semantic_fingerprint": "sha256:9e9e263e3833290f5065e30bd52ac82a5ba25a75d9a006634d3d1b31f1d763ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001399", "prompt": "What is 2178 - 4579?", "solution_steps": ["Subtract: 2178 - 4579 = -2401"], "final_answer": "-2401", "answer_type": "integer", "kind": "expression", "math_text": "2178 - 4579", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2178, \"b\": 4579}", "seed": "12108204501540081348", "semantic_fingerprint": "sha256:6a9ef15d1c6937473d97a6f2db318260f2a182abbdbef67a171cfbc1e249b4c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001400", "prompt": "Calculate: (9231 - (-56449)) * (-4768 + (-4450)) + 9644", "solution_steps": ["Subtract: 9231 - (-56449) = 65680", "Add: -4768 + (-4450) = -9218", "Multiply: 65680 * (-9218) = -605438240", "Add: -605438240 + 9644 = -605428596"], "final_answer": "-605428596", "answer_type": "integer", "kind": "expression", "math_text": "(9231 - (-56449)) * (-4768 + (-4450)) + 9644", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9231, \"b\": -56449, \"c\": -4768, \"d\": -4450, \"e\": 9644}", "seed": "1746079071391715414", "semantic_fingerprint": "sha256:54d11da665bd06957bf21fd9a3b829d86a98bb3d4867ee03ebbb3248498641e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001401", "prompt": "Calculate: 1559 * (-4483 * 9365)", "solution_steps": ["Multiply: -4483 * 9365 = -41983295", "Multiply: 1559 * (-41983295) = -65451956905"], "final_answer": "-65451956905", "answer_type": "integer", "kind": "expression", "math_text": "1559 * (-4483 * 9365)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1559, \"b\": -4483, \"c\": 9365}", "seed": "10408212532967423052", "semantic_fingerprint": "sha256:1ed6d6641be1df7117e6a9de22e3bf811ae1c6a3f66f09b4a86214d32abf8daa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001402", "prompt": "Solve for x: 38x + 3088 = 14(x - 67909)", "solution_steps": ["Expand: 38x + 3088 = 14x - 950726", "Subtract 14x from both sides: 24x + 3088 = -950726", "Subtract 3088 from both sides: 24x = -953814", "Divide both sides by 24: x = -158969/4"], "final_answer": "-158969/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x + 3088 = 14(x - 67909)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 3088, \"c\": 14, \"d\": 67909}", "seed": "342306618465498180", "semantic_fingerprint": "sha256:6aa1ff0aeab406cd5596eaec1d04d21afcb52f1b12ba89844449e6bb22f3d3f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001403", "prompt": "Evaluate: 56925 - (-6075)", "solution_steps": ["Subtract: 56925 - (-6075) = 63000"], "final_answer": "63000", "answer_type": "integer", "kind": "expression", "math_text": "56925 - (-6075)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 56925, \"b\": -6075}", "seed": "13809070952035037617", "semantic_fingerprint": "sha256:44ac4f88b060f51587ed1103ea9ea997532716c61f5cee14edfcaa6c8579ba26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001404", "prompt": "Find x: x + 1486 = 16x - 9445", "solution_steps": ["Subtract 16x from both sides: -15x + 1486 = -9445", "Subtract 1486 from both sides: -15x = -10931", "Divide both sides by -15: x = 10931/15"], "final_answer": "10931/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1486 = 16x - 9445", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1486, \"b\": 16, \"c\": 9445}", "seed": "1700871517439438062", "semantic_fingerprint": "sha256:889eff3d10b29514fcebcbc2a09da1b581ce8274f133170e4e5d7aaef299ab20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001405", "prompt": "What value of x satisfies 29x = x - 8084?", "solution_steps": ["Subtract x from both sides: 28x = -8084", "Divide both sides by 28: x = -2021/7"], "final_answer": "-2021/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x = x - 8084", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 8084}", "seed": "1313093629040078567", "semantic_fingerprint": "sha256:3fc0e5967c83f426c4c4c7e506cb96e3828388d0e492c7527385d508ff423e4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001406", "prompt": "What is 4970 - (5382 + 3590) * ((2410 + (-15493)) / (-7067))?", "solution_steps": ["Add: 5382 + 3590 = 8972", "Add: 2410 + (-15493) = -13083", "Divide: -13083 / (-7067) = 13083/7067", "Multiply: 8972 * (13083/7067) = 117380676/7067", "Subtract: 4970 - 117380676/7067 = -82257686/7067"], "final_answer": "-82257686/7067", "answer_type": "rational", "kind": "expression", "math_text": "4970 - (5382 + 3590) * ((2410 + (-15493)) / (-7067))", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ n n) (/ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4970, \"b\": 5382, \"c\": 3590, \"d\": 2410, \"e\": -15493, \"f\": -7067}", "seed": "2710761328470730779", "semantic_fingerprint": "sha256:9bf5dfdc75b7e88b105f34619050c3f0d2479354c47f9d9f6aa5840d779222df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001407", "prompt": "Calculate: -3172 - (-14517) - (-38175 - 76427)", "solution_steps": ["Subtract: -3172 - (-14517) = 11345", "Subtract: -38175 - 76427 = -114602", "Subtract: 11345 - (-114602) = 125947"], "final_answer": "125947", "answer_type": "integer", "kind": "expression", "math_text": "-3172 - (-14517) - (-38175 - 76427)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3172, \"b\": -14517, \"c\": -38175, \"d\": 76427}", "seed": "6284695095447375165", "semantic_fingerprint": "sha256:5bb0edce780e03fbc4b3e1bf8eda0c6465444a08ac6517e891ca52ee29fc299c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001408", "prompt": "Evaluate: -9441 + (-3981)", "solution_steps": ["Add: -9441 + (-3981) = -13422"], "final_answer": "-13422", "answer_type": "integer", "kind": "expression", "math_text": "-9441 + (-3981)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9441, \"b\": -3981}", "seed": "2652551234444565180", "semantic_fingerprint": "sha256:b8238631850ab919b1edb35620b9662472720282ada61002d867d306cd87d428", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001409", "prompt": "Compute: 84464 / (-56731)", "solution_steps": ["Divide: 84464 / (-56731) = -84464/56731"], "final_answer": "-84464/56731", "answer_type": "rational", "kind": "expression", "math_text": "84464 / (-56731)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84464, \"b\": -56731}", "seed": "11583252129320593564", "semantic_fingerprint": "sha256:94f6d7b4579650ff6ece0f229b09b2caf09ba9c6c183bf1642142af590301aa3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001410", "prompt": "What value of x satisfies 28x = 17(x - 7850)?", "solution_steps": ["Expand: 28x = 17x - 133450", "Subtract 17x from both sides: 11x = -133450", "Divide both sides by 11: x = -133450/11"], "final_answer": "-133450/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "28x = 17(x - 7850)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 17, \"c\": 7850}", "seed": "14661123355036042238", "semantic_fingerprint": "sha256:bbe5eeffc0f2694c2f49ccd157146f4254f9cd913906d4ef37d909fea2c839d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001411", "prompt": "Evaluate: (1653 - 9175) / (2114 - (-4601))", "solution_steps": ["Subtract: 1653 - 9175 = -7522", "Subtract: 2114 - (-4601) = 6715", "Divide: -7522 / 6715 = -7522/6715"], "final_answer": "-7522/6715", "answer_type": "rational", "kind": "expression", "math_text": "(1653 - 9175) / (2114 - (-4601))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1653, \"b\": 9175, \"c\": 2114, \"d\": -4601}", "seed": "11253647048833491895", "semantic_fingerprint": "sha256:bd60cda53b3f5de15b33d47aab00b9f83bc9b17fa327d432f792abfd69d8cda0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001412", "prompt": "Compute: (6144 + 1483) * (-4134)", "solution_steps": ["Add: 6144 + 1483 = 7627", "Multiply: 7627 * (-4134) = -31530018"], "final_answer": "-31530018", "answer_type": "integer", "kind": "expression", "math_text": "(6144 + 1483) * (-4134)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6144, \"b\": 1483, \"c\": -4134}", "seed": "4159653788158695178", "semantic_fingerprint": "sha256:017c868ef851c627f97014a2cc817caa320c815f0877151904f4533dbe303531", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001413", "prompt": "Find x: 29x + 5547 = -40(x - 18277) - 7439", "solution_steps": ["Expand: 29x + 5547 = -40x + 731080 - 7439", "Combine constants: 29x + 5547 = -40x + 723641", "Add 40x to both sides: 69x + 5547 = 723641", "Subtract 5547 from both sides: 69x = 718094", "Divide both sides by 69: x = 718094/69"], "final_answer": "718094/69", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x + 5547 = -40(x - 18277) - 7439", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 5547, \"c\": -40, \"d\": 18277, \"e\": 7439}", "seed": "17766557954843356039", "semantic_fingerprint": "sha256:aee7621b8efef573aedeb7bc03ca96101add490bc08e34c131e7b5abb9085bb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001414", "prompt": "Compute: 6426 - (-79064)", "solution_steps": ["Subtract: 6426 - (-79064) = 85490"], "final_answer": "85490", "answer_type": "integer", "kind": "expression", "math_text": "6426 - (-79064)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6426, \"b\": -79064}", "seed": "212088488214927226", "semantic_fingerprint": "sha256:2b412234f0a148bb06a61260bb61a229a938e24bf672c18e5d193a15ef4acea7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001415", "prompt": "Evaluate: (-81636 - (-5370)) / (-2639 + (-2888 - 8132))", "solution_steps": ["Subtract: -81636 - (-5370) = -76266", "Subtract: -2888 - 8132 = -11020", "Add: -2639 + (-11020) = -13659", "Divide: -76266 / (-13659) = 25422/4553"], "final_answer": "25422/4553", "answer_type": "rational", "kind": "expression", "math_text": "(-81636 - (-5370)) / (-2639 + (-2888 - 8132))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -81636, \"b\": -5370, \"c\": -2639, \"d\": -2888, \"e\": 8132}", "seed": "17635472037162964103", "semantic_fingerprint": "sha256:cbe1b078ca8bdb27b4fdc190dbc4eacb1f04166e8096577a1f33e6564b87efa5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001416", "prompt": "Calculate: -9993 * 54637", "solution_steps": ["Multiply: -9993 * 54637 = -545987541"], "final_answer": "-545987541", "answer_type": "integer", "kind": "expression", "math_text": "-9993 * 54637", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9993, \"b\": 54637}", "seed": "14894087802800657568", "semantic_fingerprint": "sha256:1caeee5c3af8991cfc0d62f2b626acce9db3b67bfbaaa78ae5f37992708062ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001417", "prompt": "What is -95043 / (-9861)?", "solution_steps": ["Divide: -95043 / (-9861) = 31681/3287"], "final_answer": "31681/3287", "answer_type": "rational", "kind": "expression", "math_text": "-95043 / (-9861)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95043, \"b\": -9861}", "seed": "8871432302790481736", "semantic_fingerprint": "sha256:24b7bc482c55a9d5f526a08a96892682fc107cf8559714b1c627ef88d5075a24", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001418", "prompt": "Calculate: 5570 * (-2459)", "solution_steps": ["Multiply: 5570 * (-2459) = -13696630"], "final_answer": "-13696630", "answer_type": "integer", "kind": "expression", "math_text": "5570 * (-2459)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5570, \"b\": -2459}", "seed": "4819223423457654765", "semantic_fingerprint": "sha256:4de3268aefe914551c4ac6e6290209bab85dd2e28dd002d74c52c7a6cef703ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001419", "prompt": "Compute: -91949 - (-3336) + (2106 - 2877)", "solution_steps": ["Subtract: -91949 - (-3336) = -88613", "Subtract: 2106 - 2877 = -771", "Add: -88613 + (-771) = -89384"], "final_answer": "-89384", "answer_type": "integer", "kind": "expression", "math_text": "-91949 - (-3336) + (2106 - 2877)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -91949, \"b\": -3336, \"c\": 2106, \"d\": 2877}", "seed": "13205263222975808106", "semantic_fingerprint": "sha256:761157c8d6416a1c670a2142aeeeaf15a92ffab962f10113685ac4a9996948c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001420", "prompt": "What is 8590 - 57788 + 7874?", "solution_steps": ["Subtract: 8590 - 57788 = -49198", "Add: -49198 + 7874 = -41324"], "final_answer": "-41324", "answer_type": "integer", "kind": "expression", "math_text": "8590 - 57788 + 7874", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8590, \"b\": 57788, \"c\": 7874}", "seed": "3247855448672614037", "semantic_fingerprint": "sha256:fd0996ea1d061391da876d1dc865d58bbf04b93b5f96833ba03c9fbad7d853e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001421", "prompt": "Evaluate: -5033 / 9060 + (-2057)", "solution_steps": ["Divide: -5033 / 9060 = -5033/9060", "Add: -5033/9060 + (-2057) = -18641453/9060"], "final_answer": "-18641453/9060", "answer_type": "rational", "kind": "expression", "math_text": "-5033 / 9060 + (-2057)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5033, \"b\": 9060, \"c\": -2057}", "seed": "17611292003005927058", "semantic_fingerprint": "sha256:35f9210f5136c4f773107e1b726222834f5ac14c482d2d2d824570bb77d96847", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001422", "prompt": "Evaluate: -62658 * (-51502) / 1916", "solution_steps": ["Multiply: -62658 * (-51502) = 3227012316", "Divide: 3227012316 / 1916 = 806753079/479"], "final_answer": "806753079/479", "answer_type": "rational", "kind": "expression", "math_text": "-62658 * (-51502) / 1916", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62658, \"b\": -51502, \"c\": 1916}", "seed": "8736897818108149484", "semantic_fingerprint": "sha256:4d54c270a37d100aeba3989a9ae3ae8b8e15e29e439a83bc6065828433561579", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001423", "prompt": "Calculate: -4472 + (-39034) - (-7709 - 5065)", "solution_steps": ["Add: -4472 + (-39034) = -43506", "Subtract: -7709 - 5065 = -12774", "Subtract: -43506 - (-12774) = -30732"], "final_answer": "-30732", "answer_type": "integer", "kind": "expression", "math_text": "-4472 + (-39034) - (-7709 - 5065)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4472, \"b\": -39034, \"c\": -7709, \"d\": 5065}", "seed": "16519645699549361702", "semantic_fingerprint": "sha256:50523070c67003d2421c9f2e77ff45a23c616938361d96b27a91dc630f47097d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001424", "prompt": "Solve for x: x = -39(x - 1062) - 43818", "solution_steps": ["Expand: x = -39x + 41418 - 43818", "Combine constants: x = -39x - 2400", "Add 39x to both sides: 40x = -2400", "Divide both sides by 40: x = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -39(x - 1062) - 43818", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 1062, \"d\": -43818, \"x\": -60}", "seed": "8550480465568329901", "semantic_fingerprint": "sha256:9f7c2c88de7b2bcd1241eb8be2096ac1f219ee853ae9a7f933a250b1522338ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001425", "prompt": "Compute: -8078 - 1266 + (-3842 + (-9252) / (-5388 - (-40160)))", "solution_steps": ["Subtract: -8078 - 1266 = -9344", "Subtract: -5388 - (-40160) = 34772", "Divide: -9252 / 34772 = -2313/8693", "Add: -3842 + (-2313/8693) = -33400819/8693", "Add: -9344 + (-33400819/8693) = -114628211/8693"], "final_answer": "-114628211/8693", "answer_type": "rational", "kind": "expression", "math_text": "-8078 - 1266 + (-3842 + (-9252) / (-5388 - (-40160)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ n (/ n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8078, \"b\": 1266, \"c\": -3842, \"d\": -9252, \"e\": -5388, \"f\": -40160}", "seed": "6927425591472868429", "semantic_fingerprint": "sha256:79d62165fe5d737b5d66830980b112c4719b1754ea4da05d3e9dd8d67f4daac5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001426", "prompt": "What is (-1212 + 2283) / (-77883 + (-6818) - (-43792 - 8858))?", "solution_steps": ["Add: -1212 + 2283 = 1071", "Add: -77883 + (-6818) = -84701", "Subtract: -43792 - 8858 = -52650", "Subtract: -84701 - (-52650) = -32051", "Divide: 1071 / (-32051) = -1071/32051"], "final_answer": "-1071/32051", "answer_type": "rational", "kind": "expression", "math_text": "(-1212 + 2283) / (-77883 + (-6818) - (-43792 - 8858))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (+ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1212, \"b\": 2283, \"c\": -77883, \"d\": -6818, \"e\": -43792, \"f\": 8858}", "seed": "10256546832519653646", "semantic_fingerprint": "sha256:eaad5dd1c9bb60284afc3ec5f80d7ee10ca2025c62bc11777d1af198a40d8b14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001427", "prompt": "What is -8634 * (-2758)?", "solution_steps": ["Multiply: -8634 * (-2758) = 23812572"], "final_answer": "23812572", "answer_type": "integer", "kind": "expression", "math_text": "-8634 * (-2758)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8634, \"b\": -2758}", "seed": "1866409190716776293", "semantic_fingerprint": "sha256:d70ef59a9f75e7908080e3bad894ed8502f21ad56b31edd2c5a63e28b59388f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001428", "prompt": "What is -3286 + (-16560 - (-1588)) - 60623 * (-24452)?", "solution_steps": ["Subtract: -16560 - (-1588) = -14972", "Add: -3286 + (-14972) = -18258", "Multiply: 60623 * (-24452) = -1482353596", "Subtract: -18258 - (-1482353596) = 1482335338"], "final_answer": "1482335338", "answer_type": "integer", "kind": "expression", "math_text": "-3286 + (-16560 - (-1588)) - 60623 * (-24452)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3286, \"b\": -16560, \"c\": -1588, \"d\": 60623, \"e\": -24452}", "seed": "362473019268965112", "semantic_fingerprint": "sha256:b71bcf0625c54afa01bdc5bb53ecaf35925197b9f5f97a77a88cf5d7849ce4b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001429", "prompt": "Find x: 38(x + 5508) = 14(x + 7319) + 88673", "solution_steps": ["Expand: 38x + 209304 = 14(x + 7319) + 88673", "Expand: 38x + 209304 = 14x + 102466 + 88673", "Combine constants: 38x + 209304 = 14x + 191139", "Subtract 14x from both sides: 24x + 209304 = 191139", "Subtract 209304 from both sides: 24x = -18165", "Divide both sides by 24: x = -6055/8"], "final_answer": "-6055/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 5508) = 14(x + 7319) + 88673", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 5508, \"c\": 14, \"d\": 7319, \"e\": 88673}", "seed": "8559883402918890106", "semantic_fingerprint": "sha256:2a5b0cdd9fe7cec626f89792f574b24107f59db4522f942a0c452c2165a6c605", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001430", "prompt": "What is (9698 + 9270) * (-1341 / (-1165) + 5234)?", "solution_steps": ["Add: 9698 + 9270 = 18968", "Divide: -1341 / (-1165) = 1341/1165", "Add: 1341/1165 + 5234 = 6098951/1165", "Multiply: 18968 * (6098951/1165) = 115684902568/1165"], "final_answer": "115684902568/1165", "answer_type": "rational", "kind": "expression", "math_text": "(9698 + 9270) * (-1341 / (-1165) + 5234)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9698, \"b\": 9270, \"c\": -1341, \"d\": -1165, \"e\": 5234}", "seed": "11089597305024956960", "semantic_fingerprint": "sha256:c0dc152982f96053de2ed38963ad3b9c97c0d6b4f88f26beb956eccb0d7f5df3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001431", "prompt": "Compute: -2872 / (-32852)", "solution_steps": ["Divide: -2872 / (-32852) = 718/8213"], "final_answer": "718/8213", "answer_type": "rational", "kind": "expression", "math_text": "-2872 / (-32852)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2872, \"b\": -32852}", "seed": "7519618522864962547", "semantic_fingerprint": "sha256:e1a3210653cf15f81bf7b079f39e9b58bcbbf53521ba3f6148749957a15e3f89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001432", "prompt": "Compute: 35137 - 2123", "solution_steps": ["Subtract: 35137 - 2123 = 33014"], "final_answer": "33014", "answer_type": "integer", "kind": "expression", "math_text": "35137 - 2123", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 35137, \"b\": 2123}", "seed": "16793073804916116971", "semantic_fingerprint": "sha256:9e657f141abafaec00a05ab792a840ae871477f91eec9c0f537e4eb9011b0d8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001433", "prompt": "Solve for x: 17x = -2669", "solution_steps": ["Divide both sides by 17: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x = -2669", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"c\": -2669, \"x\": -157}", "seed": "6376282415469414209", "semantic_fingerprint": "sha256:ece1479870d9777aa236e509d4ddc90365fc345a885c463dbd3c5a279efbd6db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001434", "prompt": "What is 4700 * 9079?", "solution_steps": ["Multiply: 4700 * 9079 = 42671300"], "final_answer": "42671300", "answer_type": "integer", "kind": "expression", "math_text": "4700 * 9079", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4700, \"b\": 9079}", "seed": "11535459069500850860", "semantic_fingerprint": "sha256:5f72da8e6dc4e91b001af75589c3475f08f535639aa7e1952e4e72f9e94af64e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001435", "prompt": "What is (5128 + 42210) * 1434?", "solution_steps": ["Add: 5128 + 42210 = 47338", "Multiply: 47338 * 1434 = 67882692"], "final_answer": "67882692", "answer_type": "integer", "kind": "expression", "math_text": "(5128 + 42210) * 1434", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5128, \"b\": 42210, \"c\": 1434}", "seed": "12871760610535066417", "semantic_fingerprint": "sha256:444d77f4ca7bec7cff5cd4893845ad2bc31ca20af08a1e896b24f933fe1ff683", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001436", "prompt": "Evaluate: -4941 * (-40140)", "solution_steps": ["Multiply: -4941 * (-40140) = 198331740"], "final_answer": "198331740", "answer_type": "integer", "kind": "expression", "math_text": "-4941 * (-40140)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4941, \"b\": -40140}", "seed": "8081151174568335603", "semantic_fingerprint": "sha256:785f53db9f167c8919f69ec451deb78f6e4bf82fc8527faa1f6380b9d1898489", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001437", "prompt": "Compute: -6093 / (8745 / (-1437)) + (56918 + (-5754))", "solution_steps": ["Divide: 8745 / (-1437) = -2915/479", "Divide: -6093 / (-2915/479) = 2918547/2915", "Add: 56918 + (-5754) = 51164", "Add: 2918547/2915 + 51164 = 152061607/2915"], "final_answer": "152061607/2915", "answer_type": "rational", "kind": "expression", "math_text": "-6093 / (8745 / (-1437)) + (56918 + (-5754))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6093, \"b\": 8745, \"c\": -1437, \"d\": 56918, \"e\": -5754}", "seed": "17783902401849160703", "semantic_fingerprint": "sha256:2cb26c69bbbcdaab6e01e7e228d446fc6c380493798ed852c791ae23ecf5d23c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001438", "prompt": "Solve the equation x = 29x - 2548 for x.", "solution_steps": ["Subtract 29x from both sides: -28x = -2548", "Divide both sides by -28: x = 91"], "final_answer": "91", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 29x - 2548", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": -2548, \"x\": 91}", "seed": "10479940211411871149", "semantic_fingerprint": "sha256:c2093ebcc4e4f4240b40eb046b8cf82e86fc661d1471d0f007adac4a9bc6bc7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001439", "prompt": "What is -51427 - (-4362) - 90514 / (-1366)?", "solution_steps": ["Subtract: -51427 - (-4362) = -47065", "Divide: 90514 / (-1366) = -45257/683", "Subtract: -47065 - (-45257/683) = -32100138/683"], "final_answer": "-32100138/683", "answer_type": "rational", "kind": "expression", "math_text": "-51427 - (-4362) - 90514 / (-1366)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -51427, \"b\": -4362, \"c\": 90514, \"d\": -1366}", "seed": "9057173060385466851", "semantic_fingerprint": "sha256:82e22dcd9f3ab27be52f0930a3a6518c95bc2603df666726c2698c423de248a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001440", "prompt": "Calculate: 87147 - (-39232) + (8303 + 6087) * (-3653 / (-53477))", "solution_steps": ["Subtract: 87147 - (-39232) = 126379", "Add: 8303 + 6087 = 14390", "Divide: -3653 / (-53477) = 3653/53477", "Multiply: 14390 * (3653/53477) = 52566670/53477", "Add: 126379 + 52566670/53477 = 6810936453/53477"], "final_answer": "6810936453/53477", "answer_type": "rational", "kind": "expression", "math_text": "87147 - (-39232) + (8303 + 6087) * (-3653 / (-53477))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* (+ n n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 87147, \"b\": -39232, \"c\": 8303, \"d\": 6087, \"e\": -3653, \"f\": -53477}", "seed": "7141716623392412010", "semantic_fingerprint": "sha256:6d57b03facba94996a4351dc481095b27b33d614612a382813cd799e75ccd965", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001441", "prompt": "Calculate: 2003 * (8291 - 5129) - 51055 - (95598 - (-37552))", "solution_steps": ["Subtract: 8291 - 5129 = 3162", "Multiply: 2003 * 3162 = 6333486", "Subtract: 6333486 - 51055 = 6282431", "Subtract: 95598 - (-37552) = 133150", "Subtract: 6282431 - 133150 = 6149281"], "final_answer": "6149281", "answer_type": "integer", "kind": "expression", "math_text": "2003 * (8291 - 5129) - 51055 - (95598 - (-37552))", "variable": null, "family": "expression_5op", "shape": "(- (- (* n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2003, \"b\": 8291, \"c\": 5129, \"d\": 51055, \"e\": 95598, \"f\": -37552}", "seed": "1736599310427196020", "semantic_fingerprint": "sha256:d1be112f568d3c8071fb1d8b35eeca09c345907cb5102f26b21bba45e689b853", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001442", "prompt": "What is -3808 - 6261?", "solution_steps": ["Subtract: -3808 - 6261 = -10069"], "final_answer": "-10069", "answer_type": "integer", "kind": "expression", "math_text": "-3808 - 6261", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3808, \"b\": 6261}", "seed": "9518790099845957998", "semantic_fingerprint": "sha256:fd74cb49a64343677527300fcc2d59fa7aec61cbfaeaa1a6976a5888510fdf6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001443", "prompt": "Calculate: -5656 - (-5596)", "solution_steps": ["Subtract: -5656 - (-5596) = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "expression", "math_text": "-5656 - (-5596)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5656, \"b\": -5596}", "seed": "117823767304822189", "semantic_fingerprint": "sha256:1c9a69d61e98e54c5980e568d417d7e3516b5b357d29ecfa4b8ebe4842e795e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001444", "prompt": "What value of x satisfies -31x = 22(x + 24207)?", "solution_steps": ["Expand: -31x = 22x + 532554", "Subtract 22x from both sides: -53x = 532554", "Divide both sides by -53: x = -532554/53"], "final_answer": "-532554/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x = 22(x + 24207)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 22, \"c\": 24207}", "seed": "12229517656188310062", "semantic_fingerprint": "sha256:44a80efeef1362dc3f8082195186d0d3b1f2f8d4812243503fd4c47a167336ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001445", "prompt": "Compute: -89714 / 6820 + (84128 - (-2330) + 89940) * 2729", "solution_steps": ["Divide: -89714 / 6820 = -1447/110", "Subtract: 84128 - (-2330) = 86458", "Add: 86458 + 89940 = 176398", "Multiply: 176398 * 2729 = 481390142", "Add: -1447/110 + 481390142 = 52952914173/110"], "final_answer": "52952914173/110", "answer_type": "rational", "kind": "expression", "math_text": "-89714 / 6820 + (84128 - (-2330) + 89940) * 2729", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* (+ (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -89714, \"b\": 6820, \"c\": 84128, \"d\": -2330, \"e\": 89940, \"f\": 2729}", "seed": "15904266370836548327", "semantic_fingerprint": "sha256:904d0304915a9f507333e4a00e1d03d3d226b3717ba5782bed84550c835446f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001446", "prompt": "What is 2808 - (-5496)?", "solution_steps": ["Subtract: 2808 - (-5496) = 8304"], "final_answer": "8304", "answer_type": "integer", "kind": "expression", "math_text": "2808 - (-5496)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2808, \"b\": -5496}", "seed": "5818142979805593728", "semantic_fingerprint": "sha256:fea30fc8b63ab2c15e9a367d11aa8e77e1481fe7ee164517f1d724cf176b2c43", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001447", "prompt": "What value of x satisfies 22x = 32x?", "solution_steps": ["Subtract 32x from both sides: -10x = 0", "Divide both sides by -10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x = 32x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 32}", "seed": "11231806697229016397", "semantic_fingerprint": "sha256:5ed3856453ba029779ebb01107f85e7b58297d63b9c0a5d033c5e1abd87f09d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001448", "prompt": "What is -74683 + (-6212) / (-3525)?", "solution_steps": ["Divide: -6212 / (-3525) = 6212/3525", "Add: -74683 + 6212/3525 = -263251363/3525"], "final_answer": "-263251363/3525", "answer_type": "rational", "kind": "expression", "math_text": "-74683 + (-6212) / (-3525)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -74683, \"b\": -6212, \"c\": -3525}", "seed": "8577961832770147578", "semantic_fingerprint": "sha256:e5a7bb8dec14bdcdb4f7c9a7a1767773f7995386ac1e39cf6d471df10e33790f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001449", "prompt": "Solve the equation -30x = 23x + 1431 for x.", "solution_steps": ["Subtract 23x from both sides: -53x = 1431", "Divide both sides by -53: x = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x = 23x + 1431", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 23, \"d\": 1431, \"x\": -27}", "seed": "7587731107066537927", "semantic_fingerprint": "sha256:1b0dfb2103787a7e913dd686eaf64b0768f97b56420efc83e762755e3a0b2a1b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001450", "prompt": "Calculate: -3028 - 5357", "solution_steps": ["Subtract: -3028 - 5357 = -8385"], "final_answer": "-8385", "answer_type": "integer", "kind": "expression", "math_text": "-3028 - 5357", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3028, \"b\": 5357}", "seed": "1612572558767051589", "semantic_fingerprint": "sha256:d4dcc663df24aa3a07dcd00bb39481a174323a011198cd1948d2368226fe32dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001451", "prompt": "Find x: x - 4294 = 29(x + 98883) + 3052", "solution_steps": ["Expand: x - 4294 = 29x + 2867607 + 3052", "Combine constants: x - 4294 = 29x + 2870659", "Subtract 29x from both sides: -28x - 4294 = 2870659", "Add 4294 to both sides: -28x = 2874953", "Divide both sides by -28: x = -2874953/28"], "final_answer": "-2874953/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4294 = 29(x + 98883) + 3052", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4294, \"b\": 29, \"c\": 98883, \"d\": 3052}", "seed": "1580472086259469159", "semantic_fingerprint": "sha256:df3f2dc85c614e168e33fe9ed8970979fd6d6815932c1f78e5cf2d6135582b95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001452", "prompt": "Solve the equation x = 18(x - 7433) - 44133 for x.", "solution_steps": ["Expand: x = 18x - 133794 - 44133", "Combine constants: x = 18x - 177927", "Subtract 18x from both sides: -17x = -177927", "Divide both sides by -17: x = 177927/17"], "final_answer": "177927/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 18(x - 7433) - 44133", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 7433, \"c\": 44133}", "seed": "11686134326240653530", "semantic_fingerprint": "sha256:98b44ce4c3f26642e992edc71f5a23d560970ec580202bc4412fe855d70a80f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001453", "prompt": "Solve the equation 37(x - 68880) = x for x.", "solution_steps": ["Expand: 37x - 2548560 = x", "Subtract x from both sides: 36x - 2548560 = 0", "Add 2548560 to both sides: 36x = 2548560", "Divide both sides by 36: x = 212380/3"], "final_answer": "212380/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 68880) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 68880}", "seed": "3732207945388191322", "semantic_fingerprint": "sha256:c25e1e0db42a3a264bad9897db7684fde9a687b4d2570090e37f54aab9514583", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001454", "prompt": "Find x: -20x - 66571 = 15x", "solution_steps": ["Subtract 15x from both sides: -35x - 66571 = 0", "Add 66571 to both sides: -35x = 66571", "Divide both sides by -35: x = -66571/35"], "final_answer": "-66571/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x - 66571 = 15x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 66571, \"c\": 15}", "seed": "18431499002462772101", "semantic_fingerprint": "sha256:50fcfebd8fc0805bd04b251581328ede1a9b7e31793d69b941004191783d3e0a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001455", "prompt": "What is -79775 + (-1537)?", "solution_steps": ["Add: -79775 + (-1537) = -81312"], "final_answer": "-81312", "answer_type": "integer", "kind": "expression", "math_text": "-79775 + (-1537)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -79775, \"b\": -1537}", "seed": "12882967703235874730", "semantic_fingerprint": "sha256:b88d05c7cc5aa6feeb3d4fde04669a585d5949484f7e55440787aaa23230c0e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001456", "prompt": "Compute: 3090 * (8822 + 5119)", "solution_steps": ["Add: 8822 + 5119 = 13941", "Multiply: 3090 * 13941 = 43077690"], "final_answer": "43077690", "answer_type": "integer", "kind": "expression", "math_text": "3090 * (8822 + 5119)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3090, \"b\": 8822, \"c\": 5119}", "seed": "10520154366051500877", "semantic_fingerprint": "sha256:be5917f9364a5f7bcbc7ff6e750808b6ce54c881b46abd752cd24210b58ff240", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001457", "prompt": "Evaluate: 33695 + 2870", "solution_steps": ["Add: 33695 + 2870 = 36565"], "final_answer": "36565", "answer_type": "integer", "kind": "expression", "math_text": "33695 + 2870", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 33695, \"b\": 2870}", "seed": "16861258239692302587", "semantic_fingerprint": "sha256:ddf09ba25a9105ad3954fc7b42791e0dbc0b0b8d586c8798db30757e0f69278d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001458", "prompt": "What is -1413 - (-7393) / (-9670)?", "solution_steps": ["Divide: -7393 / (-9670) = 7393/9670", "Subtract: -1413 - 7393/9670 = -13671103/9670"], "final_answer": "-13671103/9670", "answer_type": "rational", "kind": "expression", "math_text": "-1413 - (-7393) / (-9670)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1413, \"b\": -7393, \"c\": -9670}", "seed": "7208687630905642690", "semantic_fingerprint": "sha256:34962f763a73660597222d337434c26ef35e2eee13582a9d1f461010c35f567e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001459", "prompt": "Evaluate: -1677 / (-3604)", "solution_steps": ["Divide: -1677 / (-3604) = 1677/3604"], "final_answer": "1677/3604", "answer_type": "rational", "kind": "expression", "math_text": "-1677 / (-3604)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1677, \"b\": -3604}", "seed": "10150197011545050443", "semantic_fingerprint": "sha256:5aa12ae300af1b36cb91f0b5797372cc04671537371f83242fc1796f6d323b57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001460", "prompt": "What value of x satisfies 32(x + 2197) - 5560 = 19(x - 83919)?", "solution_steps": ["Expand: 32x + 70304 - 5560 = 19(x - 83919)", "Expand: 32x + 70304 - 5560 = 19x - 1594461", "Combine constants: 32x + 64744 = 19x - 1594461", "Subtract 19x from both sides: 13x + 64744 = -1594461", "Subtract 64744 from both sides: 13x = -1659205", "Divide both sides by 13: x = -1659205/13"], "final_answer": "-1659205/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 2197) - 5560 = 19(x - 83919)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 2197, \"c\": 5560, \"d\": 19, \"e\": 83919}", "seed": "9917463632089811937", "semantic_fingerprint": "sha256:6b6b4ee9a31a042fca56de50f6ffad8dc3d92c2cca1779701113f3a87bf113c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001461", "prompt": "Calculate: 9878 + 6158 / 7628", "solution_steps": ["Divide: 6158 / 7628 = 3079/3814", "Add: 9878 + 3079/3814 = 37677771/3814"], "final_answer": "37677771/3814", "answer_type": "rational", "kind": "expression", "math_text": "9878 + 6158 / 7628", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9878, \"b\": 6158, \"c\": 7628}", "seed": "14797954470843151291", "semantic_fingerprint": "sha256:a52420c49af06d84a14ed9a0499bd07d439ab9cd7c17c635a4368eb15bb783a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001462", "prompt": "Compute: -8726 / 3899", "solution_steps": ["Divide: -8726 / 3899 = -8726/3899"], "final_answer": "-8726/3899", "answer_type": "rational", "kind": "expression", "math_text": "-8726 / 3899", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8726, \"b\": 3899}", "seed": "9525318527356182390", "semantic_fingerprint": "sha256:eb6156c852f0129637cc03ca4722e3d9c7a204fce3808898043375f1cfe36c65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001463", "prompt": "Calculate: -70092 * (-4214) - (-75075)", "solution_steps": ["Multiply: -70092 * (-4214) = 295367688", "Subtract: 295367688 - (-75075) = 295442763"], "final_answer": "295442763", "answer_type": "integer", "kind": "expression", "math_text": "-70092 * (-4214) - (-75075)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -70092, \"b\": -4214, \"c\": -75075}", "seed": "12947144679948836628", "semantic_fingerprint": "sha256:3f9cf154e18b1f9744eae8bce79f74eb608409672a17daf513f970018051db80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001464", "prompt": "Evaluate: 3480 + (-2676) * (-57323)", "solution_steps": ["Multiply: -2676 * (-57323) = 153396348", "Add: 3480 + 153396348 = 153399828"], "final_answer": "153399828", "answer_type": "integer", "kind": "expression", "math_text": "3480 + (-2676) * (-57323)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3480, \"b\": -2676, \"c\": -57323}", "seed": "906716295791860196", "semantic_fingerprint": "sha256:b363cdcf22cbfcfbaf7dff9640125312f73a44bb02cd20ec8f19f03118d21dbb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001465", "prompt": "Calculate: 66986 / (-9884) * (-63381) - (-93949)", "solution_steps": ["Divide: 66986 / (-9884) = -33493/4942", "Multiply: (-33493/4942) * (-63381) = 2122819833/4942", "Subtract: 2122819833/4942 - (-93949) = 2587115791/4942"], "final_answer": "2587115791/4942", "answer_type": "rational", "kind": "expression", "math_text": "66986 / (-9884) * (-63381) - (-93949)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 66986, \"b\": -9884, \"c\": -63381, \"d\": -93949}", "seed": "10168656637487593824", "semantic_fingerprint": "sha256:99767f30c5f387b4660b8b869fa2d0c0b8811de2757b4f771de5fdf70d5c0cb5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001466", "prompt": "What is -81141 - (53654 - 2480 * 23862)?", "solution_steps": ["Multiply: 2480 * 23862 = 59177760", "Subtract: 53654 - 59177760 = -59124106", "Subtract: -81141 - (-59124106) = 59042965"], "final_answer": "59042965", "answer_type": "integer", "kind": "expression", "math_text": "-81141 - (53654 - 2480 * 23862)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -81141, \"b\": 53654, \"c\": 2480, \"d\": 23862}", "seed": "11202324586198871092", "semantic_fingerprint": "sha256:bb6036da6f3120e6f21fc15f15be8d2b06d2e52724dd9272d497899b3a6096fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001467", "prompt": "Find x: -39(x - 93521) - 4594 = x - 5335", "solution_steps": ["Expand: -39x + 3647319 - 4594 = x - 5335", "Combine constants: -39x + 3642725 = x - 5335", "Subtract x from both sides: -40x + 3642725 = -5335", "Subtract 3642725 from both sides: -40x = -3648060", "Divide both sides by -40: x = 182403/2"], "final_answer": "182403/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x - 93521) - 4594 = x - 5335", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 93521, \"c\": 4594, \"d\": 5335}", "seed": "714783630677074917", "semantic_fingerprint": "sha256:b9c2f181ca098d547f80249360929b03fad8d11229a83d656cc83b7f28b9e6c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001468", "prompt": "Compute: 7241 / (-53492 + 17692) + (-57318 - 4921)", "solution_steps": ["Add: -53492 + 17692 = -35800", "Divide: 7241 / (-35800) = -7241/35800", "Subtract: -57318 - 4921 = -62239", "Add: -7241/35800 + (-62239) = -2228163441/35800"], "final_answer": "-2228163441/35800", "answer_type": "rational", "kind": "expression", "math_text": "7241 / (-53492 + 17692) + (-57318 - 4921)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7241, \"b\": -53492, \"c\": 17692, \"d\": -57318, \"e\": 4921}", "seed": "4222281003236565895", "semantic_fingerprint": "sha256:bae731a22394a30fa39c282ac52b19353763f1c6f8b2c2a6ce6f1f08adc29cee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001469", "prompt": "Calculate: 1511 / (-5178)", "solution_steps": ["Divide: 1511 / (-5178) = -1511/5178"], "final_answer": "-1511/5178", "answer_type": "rational", "kind": "expression", "math_text": "1511 / (-5178)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1511, \"b\": -5178}", "seed": "17521341116278086029", "semantic_fingerprint": "sha256:82562a93bdd06e944c695631261d258a282cd7e01cf91d226c21ac413f1b3ed8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001470", "prompt": "What is (-1982 + 1898) * (-6655 * 78126)?", "solution_steps": ["Add: -1982 + 1898 = -84", "Multiply: -6655 * 78126 = -519928530", "Multiply: -84 * (-519928530) = 43673996520"], "final_answer": "43673996520", "answer_type": "integer", "kind": "expression", "math_text": "(-1982 + 1898) * (-6655 * 78126)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1982, \"b\": 1898, \"c\": -6655, \"d\": 78126}", "seed": "13195373630560585406", "semantic_fingerprint": "sha256:045a1d08cd6b7a9717d2252cae928589bffbbf52ae1cb9b5f4093c4e1c5580a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001471", "prompt": "Find x: x = -15(x - 4555) - 69701", "solution_steps": ["Expand: x = -15x + 68325 - 69701", "Combine constants: x = -15x - 1376", "Add 15x to both sides: 16x = -1376", "Divide both sides by 16: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -15(x - 4555) - 69701", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 4555, \"d\": -69701, \"x\": -86}", "seed": "8053209298870625701", "semantic_fingerprint": "sha256:7b481ef660cf837ccd41718a91dc9845bb585183b6b88c232f59be50e320077a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001472", "prompt": "Compute: 3797 * (-1946) + (-54680 + 9811 - 39824)", "solution_steps": ["Multiply: 3797 * (-1946) = -7388962", "Add: -54680 + 9811 = -44869", "Subtract: -44869 - 39824 = -84693", "Add: -7388962 + (-84693) = -7473655"], "final_answer": "-7473655", "answer_type": "integer", "kind": "expression", "math_text": "3797 * (-1946) + (-54680 + 9811 - 39824)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3797, \"b\": -1946, \"c\": -54680, \"d\": 9811, \"e\": 39824}", "seed": "8731049333427111755", "semantic_fingerprint": "sha256:99a9e8bdb3e80a8f12a525b0710d5974bb0704105885312223dcba7387829d63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001473", "prompt": "Solve for x: 19(x - 7116) + 6693 = -27(x - 4993) - 5112", "solution_steps": ["Expand: 19x - 135204 + 6693 = -27(x - 4993) - 5112", "Expand: 19x - 135204 + 6693 = -27x + 134811 - 5112", "Combine constants: 19x - 128511 = -27x + 134811 - 5112", "Combine constants: 19x - 128511 = -27x + 129699", "Add 27x to both sides: 46x - 128511 = 129699", "Add 128511 to both sides: 46x = 258210", "Divide both sides by 46: x = 129105/23"], "final_answer": "129105/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x - 7116) + 6693 = -27(x - 4993) - 5112", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 7116, \"c\": 6693, \"d\": -27, \"e\": 4993, \"f\": 5112}", "seed": "10946248871308755083", "semantic_fingerprint": "sha256:a1709e8647289e69c4550b5009f885281a86df2b2dd90b699015e95c626a4567", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001474", "prompt": "Calculate: 60429 + 10581 / 2885", "solution_steps": ["Divide: 10581 / 2885 = 10581/2885", "Add: 60429 + 10581/2885 = 174348246/2885"], "final_answer": "174348246/2885", "answer_type": "rational", "kind": "expression", "math_text": "60429 + 10581 / 2885", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60429, \"b\": 10581, \"c\": 2885}", "seed": "10210179779315060158", "semantic_fingerprint": "sha256:97661186e5330f73e42eed59beb820a2abf0453b213da61dd3a82444764409ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001475", "prompt": "Evaluate: 9304 - (-28025) * 60241 - (-20494 - 49623 * (-3901))", "solution_steps": ["Multiply: -28025 * 60241 = -1688254025", "Subtract: 9304 - (-1688254025) = 1688263329", "Multiply: 49623 * (-3901) = -193579323", "Subtract: -20494 - (-193579323) = 193558829", "Subtract: 1688263329 - 193558829 = 1494704500"], "final_answer": "1494704500", "answer_type": "integer", "kind": "expression", "math_text": "9304 - (-28025) * 60241 - (-20494 - 49623 * (-3901))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (- n (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9304, \"b\": -28025, \"c\": 60241, \"d\": -20494, \"e\": 49623, \"f\": -3901}", "seed": "14624423665570447335", "semantic_fingerprint": "sha256:3c279717d937c23d5104605e902e84b32a99b95f5e17ed1a23ca9366f643778c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001476", "prompt": "Calculate: (26371 - (-7272 - 3170 + (-2636))) * (-56336)", "solution_steps": ["Subtract: -7272 - 3170 = -10442", "Add: -10442 + (-2636) = -13078", "Subtract: 26371 - (-13078) = 39449", "Multiply: 39449 * (-56336) = -2222398864"], "final_answer": "-2222398864", "answer_type": "integer", "kind": "expression", "math_text": "(26371 - (-7272 - 3170 + (-2636))) * (-56336)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26371, \"b\": -7272, \"c\": 3170, \"d\": -2636, \"e\": -56336}", "seed": "12070303142985862873", "semantic_fingerprint": "sha256:1132d6c978021dd204ef41b0d84a45065919a058c67ba1b440d712a91a1f0eb8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001477", "prompt": "Calculate: -86299 * 5010 / 14832", "solution_steps": ["Multiply: -86299 * 5010 = -432357990", "Divide: -432357990 / 14832 = -72059665/2472"], "final_answer": "-72059665/2472", "answer_type": "rational", "kind": "expression", "math_text": "-86299 * 5010 / 14832", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86299, \"b\": 5010, \"c\": 14832}", "seed": "14980392440884111093", "semantic_fingerprint": "sha256:8f8547ac807c2a6a46486b80bc9d57cddab23ff246fb34699f72232ddec55d44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001478", "prompt": "Evaluate: -4143 - (-2460)", "solution_steps": ["Subtract: -4143 - (-2460) = -1683"], "final_answer": "-1683", "answer_type": "integer", "kind": "expression", "math_text": "-4143 - (-2460)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4143, \"b\": -2460}", "seed": "9123098437725293774", "semantic_fingerprint": "sha256:b55f398eb066c72f8b38f4388d1c2a715c18d54c0a40a552968412a94a407f8b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001479", "prompt": "Compute: -34937 / (-6969 - (-9111 + (-1832))) + (-85478)", "solution_steps": ["Add: -9111 + (-1832) = -10943", "Subtract: -6969 - (-10943) = 3974", "Divide: -34937 / 3974 = -34937/3974", "Add: -34937/3974 + (-85478) = -339724509/3974"], "final_answer": "-339724509/3974", "answer_type": "rational", "kind": "expression", "math_text": "-34937 / (-6969 - (-9111 + (-1832))) + (-85478)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34937, \"b\": -6969, \"c\": -9111, \"d\": -1832, \"e\": -85478}", "seed": "14094798198873635219", "semantic_fingerprint": "sha256:1a37ab5d01df8f93e6724f0408822b98a0b3066bcbebddd5e9fd3f9987eb9340", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001480", "prompt": "Calculate: -2678 / 63447", "solution_steps": ["Divide: -2678 / 63447 = -2678/63447"], "final_answer": "-2678/63447", "answer_type": "rational", "kind": "expression", "math_text": "-2678 / 63447", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2678, \"b\": 63447}", "seed": "6171720691356313908", "semantic_fingerprint": "sha256:26f2bcb887b7a7fd2a63eb16eec4d201b71826fba39462acc50841ac1cb1bae0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001481", "prompt": "Calculate: -4823 * (-2280 * (-51555))", "solution_steps": ["Multiply: -2280 * (-51555) = 117545400", "Multiply: -4823 * 117545400 = -566921464200"], "final_answer": "-566921464200", "answer_type": "integer", "kind": "expression", "math_text": "-4823 * (-2280 * (-51555))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4823, \"b\": -2280, \"c\": -51555}", "seed": "16365023580201870276", "semantic_fingerprint": "sha256:91286b42f8a061f715f463d1ec0338fec660eec783d9e911fd08040fd3d498ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001482", "prompt": "What value of x satisfies 13(x + 9551) = 27(x + 6280) - 47483?", "solution_steps": ["Expand: 13x + 124163 = 27(x + 6280) - 47483", "Expand: 13x + 124163 = 27x + 169560 - 47483", "Combine constants: 13x + 124163 = 27x + 122077", "Subtract 27x from both sides: -14x + 124163 = 122077", "Subtract 124163 from both sides: -14x = -2086", "Divide both sides by -14: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 9551) = 27(x + 6280) - 47483", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 9551, \"c\": 27, \"d\": 6280, \"f\": -47483, \"x\": 149}", "seed": "7739070995407083195", "semantic_fingerprint": "sha256:0adb1a9745439903b72e911fd4dd49c35daf131a4cd9e79a91bc905f7f5e44f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001483", "prompt": "What value of x satisfies 17(x + 1735) + 95304 = 34(x + 41369) + 8214?", "solution_steps": ["Expand: 17x + 29495 + 95304 = 34(x + 41369) + 8214", "Expand: 17x + 29495 + 95304 = 34x + 1406546 + 8214", "Combine constants: 17x + 124799 = 34x + 1406546 + 8214", "Combine constants: 17x + 124799 = 34x + 1414760", "Subtract 34x from both sides: -17x + 124799 = 1414760", "Subtract 124799 from both sides: -17x = 1289961", "Divide both sides by -17: x = -1289961/17"], "final_answer": "-1289961/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 1735) + 95304 = 34(x + 41369) + 8214", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 1735, \"c\": 95304, \"d\": 34, \"e\": 41369, \"f\": 8214}", "seed": "11274654417845522479", "semantic_fingerprint": "sha256:497abf80d5d265b61252a718cb74e69091e6ed0c0d6db614aef2ef577a9579d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001484", "prompt": "Solve for x: 39(x - 5328) = 19x", "solution_steps": ["Expand: 39x - 207792 = 19x", "Subtract 19x from both sides: 20x - 207792 = 0", "Add 207792 to both sides: 20x = 207792", "Divide both sides by 20: x = 51948/5"], "final_answer": "51948/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 5328) = 19x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5328, \"c\": 19}", "seed": "13294243498142831869", "semantic_fingerprint": "sha256:218f8eca388c33ea7b5cab73a29c5b5298a458538c8dde47e9065e6024e11ec9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001485", "prompt": "What value of x satisfies 31(x - 33799) = 15(x + 8281) + 1743?", "solution_steps": ["Expand: 31x - 1047769 = 15(x + 8281) + 1743", "Expand: 31x - 1047769 = 15x + 124215 + 1743", "Combine constants: 31x - 1047769 = 15x + 125958", "Subtract 15x from both sides: 16x - 1047769 = 125958", "Add 1047769 to both sides: 16x = 1173727", "Divide both sides by 16: x = 1173727/16"], "final_answer": "1173727/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 33799) = 15(x + 8281) + 1743", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 33799, \"c\": 15, \"d\": 8281, \"e\": 1743}", "seed": "1883733920574576907", "semantic_fingerprint": "sha256:b8d24693c67b9a19dbb9d006046286152c02cadb11749bcfcdd5dcaf13a22b11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001486", "prompt": "Find x: 35x - 7824 = 34x", "solution_steps": ["Subtract 34x from both sides: x - 7824 = 0", "Add 7824 to both sides: x = 7824"], "final_answer": "7824", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x - 7824 = 34x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7824, \"c\": 34}", "seed": "15659583225091708449", "semantic_fingerprint": "sha256:56ce829ebeebcafb8eff369750865270bd982a6ab831756823e1e60c5e683a59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001487", "prompt": "Solve the equation -33(x + 71631) - 3778 = -35(x - 13441) for x.", "solution_steps": ["Expand: -33x - 2363823 - 3778 = -35(x - 13441)", "Expand: -33x - 2363823 - 3778 = -35x + 470435", "Combine constants: -33x - 2367601 = -35x + 470435", "Add 35x to both sides: 2x - 2367601 = 470435", "Add 2367601 to both sides: 2x = 2838036", "Divide both sides by 2: x = 1419018"], "final_answer": "1419018", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33(x + 71631) - 3778 = -35(x - 13441)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 71631, \"c\": 3778, \"d\": -35, \"e\": 13441}", "seed": "1184118456830997586", "semantic_fingerprint": "sha256:37fc533059573bbca2c0e1639055137527fb4decf5438b423473f034b3775d10", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001488", "prompt": "Find x: 17x + 7772 = 38x + 9830", "solution_steps": ["Subtract 38x from both sides: -21x + 7772 = 9830", "Subtract 7772 from both sides: -21x = 2058", "Divide both sides by -21: x = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 7772 = 38x + 9830", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 7772, \"c\": 38, \"e\": 9830, \"x\": -98}", "seed": "2449354406114377405", "semantic_fingerprint": "sha256:e578aed2e82cb9d2d02a9eece0688a43d6eebf64026b6f48ec78e83ca5f63702", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001489", "prompt": "Calculate: -7146 + 71547 + (3702 + 1656)", "solution_steps": ["Add: -7146 + 71547 = 64401", "Add: 3702 + 1656 = 5358", "Add: 64401 + 5358 = 69759"], "final_answer": "69759", "answer_type": "integer", "kind": "expression", "math_text": "-7146 + 71547 + (3702 + 1656)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7146, \"b\": 71547, \"c\": 3702, \"d\": 1656}", "seed": "12719750739149990685", "semantic_fingerprint": "sha256:2b2f121011bb991ba20485e26721af5b2b0e13ceca89b0e1e87565f08d4e4c40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001490", "prompt": "Find x: 32x + 64920 = x + 2445", "solution_steps": ["Subtract x from both sides: 31x + 64920 = 2445", "Subtract 64920 from both sides: 31x = -62475", "Divide both sides by 31: x = -62475/31"], "final_answer": "-62475/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x + 64920 = x + 2445", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 64920, \"c\": 2445}", "seed": "18041768374929047846", "semantic_fingerprint": "sha256:c6545fac73273ad6b0f6c88369c11d0ad901368a4aa7127277232b685d9aa580", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001491", "prompt": "Calculate: 64909 / (-3298 / (-1432))", "solution_steps": ["Divide: -3298 / (-1432) = 1649/716", "Divide: 64909 / (1649/716) = 46474844/1649"], "final_answer": "46474844/1649", "answer_type": "rational", "kind": "expression", "math_text": "64909 / (-3298 / (-1432))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64909, \"b\": -3298, \"c\": -1432}", "seed": "8201480820611963306", "semantic_fingerprint": "sha256:9c6de8ddf379467361a18f632c2a4ca17e33204f4089288a4cdbd8f79c6b6776", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001492", "prompt": "Calculate: 7019 + (-54538) / 6057 - (86255 + 6807)", "solution_steps": ["Divide: -54538 / 6057 = -54538/6057", "Add: 7019 + (-54538/6057) = 42459545/6057", "Add: 86255 + 6807 = 93062", "Subtract: 42459545/6057 - 93062 = -521216989/6057"], "final_answer": "-521216989/6057", "answer_type": "rational", "kind": "expression", "math_text": "7019 + (-54538) / 6057 - (86255 + 6807)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7019, \"b\": -54538, \"c\": 6057, \"d\": 86255, \"e\": 6807}", "seed": "10109063141195629001", "semantic_fingerprint": "sha256:7f80511f05f834ddeb4a63ad16bfb63fcfe5e6986b9a1387299f96ef8b5b22af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001493", "prompt": "Calculate: 48638 + (-97400)", "solution_steps": ["Add: 48638 + (-97400) = -48762"], "final_answer": "-48762", "answer_type": "integer", "kind": "expression", "math_text": "48638 + (-97400)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 48638, \"b\": -97400}", "seed": "14833979739618946851", "semantic_fingerprint": "sha256:d4c03f992bb09b5df65e9327e0e01c8ab678d5dafeee57ed576b1264a5acfb07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001494", "prompt": "Compute: 3616 * 9686", "solution_steps": ["Multiply: 3616 * 9686 = 35024576"], "final_answer": "35024576", "answer_type": "integer", "kind": "expression", "math_text": "3616 * 9686", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3616, \"b\": 9686}", "seed": "7482242014363177847", "semantic_fingerprint": "sha256:f3dfe96aff151decd1723dbf2058217742cfe636bf70ae001ffc373fc89a16ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001495", "prompt": "Compute: -8547 - (3178 - (-8200))", "solution_steps": ["Subtract: 3178 - (-8200) = 11378", "Subtract: -8547 - 11378 = -19925"], "final_answer": "-19925", "answer_type": "integer", "kind": "expression", "math_text": "-8547 - (3178 - (-8200))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8547, \"b\": 3178, \"c\": -8200}", "seed": "7220900368582096746", "semantic_fingerprint": "sha256:9f583e29aab025c1082216ab23bba82b0c36d30a534b84fd826c2304515d09cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001496", "prompt": "Compute: 80865 + 4142 + (-33812) / 9297", "solution_steps": ["Add: 80865 + 4142 = 85007", "Divide: -33812 / 9297 = -33812/9297", "Add: 85007 + (-33812/9297) = 790276267/9297"], "final_answer": "790276267/9297", "answer_type": "rational", "kind": "expression", "math_text": "80865 + 4142 + (-33812) / 9297", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80865, \"b\": 4142, \"c\": -33812, \"d\": 9297}", "seed": "132723906236395824", "semantic_fingerprint": "sha256:35c6d21a296bd0ba597125980626979f571c74d88e53799a777742d2e07d27cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001497", "prompt": "Compute: 3149 - 2073 + (97994 + 75005)", "solution_steps": ["Subtract: 3149 - 2073 = 1076", "Add: 97994 + 75005 = 172999", "Add: 1076 + 172999 = 174075"], "final_answer": "174075", "answer_type": "integer", "kind": "expression", "math_text": "3149 - 2073 + (97994 + 75005)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3149, \"b\": 2073, \"c\": 97994, \"d\": 75005}", "seed": "17701819262541687027", "semantic_fingerprint": "sha256:1d3418ca91599e4b8d672270d0fdee62b267e21e65483237f1f5f0c06904485f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001498", "prompt": "Solve the equation 14x = 28x - 1555 for x.", "solution_steps": ["Subtract 28x from both sides: -14x = -1555", "Divide both sides by -14: x = 1555/14"], "final_answer": "1555/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x = 28x - 1555", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 28, \"c\": 1555}", "seed": "13609882893406356710", "semantic_fingerprint": "sha256:d0adb7b1a890326b146eb25cab1bb66baf1095c46dcb7c4dbff4d5e8e8ea0b00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001499", "prompt": "What is -40346 / (27233 - (-8572)) + (-5276)?", "solution_steps": ["Subtract: 27233 - (-8572) = 35805", "Divide: -40346 / 35805 = -40346/35805", "Add: -40346/35805 + (-5276) = -188947526/35805"], "final_answer": "-188947526/35805", "answer_type": "rational", "kind": "expression", "math_text": "-40346 / (27233 - (-8572)) + (-5276)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40346, \"b\": 27233, \"c\": -8572, \"d\": -5276}", "seed": "1146357280627346720", "semantic_fingerprint": "sha256:1378cf18b095202904537646796c9f9ea4c8bb090cc1701f8b50b056a4efa90c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001500", "prompt": "Compute: -90731 * 6718", "solution_steps": ["Multiply: -90731 * 6718 = -609530858"], "final_answer": "-609530858", "answer_type": "integer", "kind": "expression", "math_text": "-90731 * 6718", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -90731, \"b\": 6718}", "seed": "14200360365677672665", "semantic_fingerprint": "sha256:1d481368de34fdc7deccfde0087b8a03bc1c1e15511d2c3f1120d7bbcd48f291", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001501", "prompt": "What is 2506 - 7022 + (-18413 + (-94478) + (-6787))?", "solution_steps": ["Subtract: 2506 - 7022 = -4516", "Add: -18413 + (-94478) = -112891", "Add: -112891 + (-6787) = -119678", "Add: -4516 + (-119678) = -124194"], "final_answer": "-124194", "answer_type": "integer", "kind": "expression", "math_text": "2506 - 7022 + (-18413 + (-94478) + (-6787))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2506, \"b\": 7022, \"c\": -18413, \"d\": -94478, \"e\": -6787}", "seed": "9917341521601227519", "semantic_fingerprint": "sha256:d1ea26a51358385eee454f9e1fd3e535916c76b69d6703a742b82f3609fd8c58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001502", "prompt": "Calculate: (-3020 + (-3952)) / (2020 / (-1705)) - (9454 - 99396)", "solution_steps": ["Add: -3020 + (-3952) = -6972", "Divide: 2020 / (-1705) = -404/341", "Divide: -6972 / (-404/341) = 594363/101", "Subtract: 9454 - 99396 = -89942", "Subtract: 594363/101 - (-89942) = 9678505/101"], "final_answer": "9678505/101", "answer_type": "rational", "kind": "expression", "math_text": "(-3020 + (-3952)) / (2020 / (-1705)) - (9454 - 99396)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3020, \"b\": -3952, \"c\": 2020, \"d\": -1705, \"e\": 9454, \"f\": 99396}", "seed": "7879020977537418131", "semantic_fingerprint": "sha256:6c0f93522bd01d03e132a4a8889bb647cb4d985f41c44c77e9e606ad3732aedf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001503", "prompt": "Find x: x = 24x - 1794", "solution_steps": ["Subtract 24x from both sides: -23x = -1794", "Divide both sides by -23: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 24x - 1794", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": -1794, \"x\": 78}", "seed": "9286966993619827034", "semantic_fingerprint": "sha256:209b8c090b700c6c41b036c9008d1710e956d3798bce890ae75ab8de8ea5c6c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001504", "prompt": "Compute: (2281 - 8492) / (-3671)", "solution_steps": ["Subtract: 2281 - 8492 = -6211", "Divide: -6211 / (-3671) = 6211/3671"], "final_answer": "6211/3671", "answer_type": "rational", "kind": "expression", "math_text": "(2281 - 8492) / (-3671)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2281, \"b\": 8492, \"c\": -3671}", "seed": "3397269330204807636", "semantic_fingerprint": "sha256:9cfa96107a6327f0e83608dbcb62255641040108c38f1965fb1988017633d1e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001505", "prompt": "What is (-7361 - (-30216)) / (-4965)?", "solution_steps": ["Subtract: -7361 - (-30216) = 22855", "Divide: 22855 / (-4965) = -4571/993"], "final_answer": "-4571/993", "answer_type": "rational", "kind": "expression", "math_text": "(-7361 - (-30216)) / (-4965)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7361, \"b\": -30216, \"c\": -4965}", "seed": "857582706979790696", "semantic_fingerprint": "sha256:971f2664139836ecc77dbba40d81d89c91abf029e63d56d14e0160b5e7fed164", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001506", "prompt": "Solve for x: x = -15(x + 5865) + 89175", "solution_steps": ["Expand: x = -15x - 87975 + 89175", "Combine constants: x = -15x + 1200", "Add 15x to both sides: 16x = 1200", "Divide both sides by 16: x = 75"], "final_answer": "75", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -15(x + 5865) + 89175", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 5865, \"d\": 89175, \"x\": 75}", "seed": "2987768163186722010", "semantic_fingerprint": "sha256:379bd4e01599cb9d8c2f9cc7d32547f6534fa1a0fb176d52ce479f00f3ec1a29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001507", "prompt": "Compute: -34186 + (-3196)", "solution_steps": ["Add: -34186 + (-3196) = -37382"], "final_answer": "-37382", "answer_type": "integer", "kind": "expression", "math_text": "-34186 + (-3196)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -34186, \"b\": -3196}", "seed": "10562071958452967382", "semantic_fingerprint": "sha256:e168cb22ddc95f30bb37013f2e7f01f1ea1bfa97f1776a74f4efb9bad00d9c65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001508", "prompt": "Evaluate: -1046 + (-5634 + (-3220)) + (-8199)", "solution_steps": ["Add: -5634 + (-3220) = -8854", "Add: -1046 + (-8854) = -9900", "Add: -9900 + (-8199) = -18099"], "final_answer": "-18099", "answer_type": "integer", "kind": "expression", "math_text": "-1046 + (-5634 + (-3220)) + (-8199)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1046, \"b\": -5634, \"c\": -3220, \"d\": -8199}", "seed": "17987522437205172592", "semantic_fingerprint": "sha256:d1c0b0831db95b031a184628ab7c7ef47a2bd48d1e33ac1146a8b10662feaf34", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001509", "prompt": "Evaluate: -41187 - (35261 - (-4007))", "solution_steps": ["Subtract: 35261 - (-4007) = 39268", "Subtract: -41187 - 39268 = -80455"], "final_answer": "-80455", "answer_type": "integer", "kind": "expression", "math_text": "-41187 - (35261 - (-4007))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41187, \"b\": 35261, \"c\": -4007}", "seed": "16751714167681777363", "semantic_fingerprint": "sha256:b8fbae15284967a5e399406858daf6e61aa37f84843cc32f5e74860e30c3b9a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001510", "prompt": "Evaluate: 8660 + (-2820 + 21313) - 1302 / 41936", "solution_steps": ["Add: -2820 + 21313 = 18493", "Add: 8660 + 18493 = 27153", "Divide: 1302 / 41936 = 651/20968", "Subtract: 27153 - 651/20968 = 569343453/20968"], "final_answer": "569343453/20968", "answer_type": "rational", "kind": "expression", "math_text": "8660 + (-2820 + 21313) - 1302 / 41936", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8660, \"b\": -2820, \"c\": 21313, \"d\": 1302, \"e\": 41936}", "seed": "11282666468518378253", "semantic_fingerprint": "sha256:75c8973d53e8e49dfbb3a01d2e0629216562add180ef692c6755dfafd6ed8976", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001511", "prompt": "Solve the equation -33x = x - 8538 for x.", "solution_steps": ["Subtract x from both sides: -34x = -8538", "Divide both sides by -34: x = 4269/17"], "final_answer": "4269/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33x = x - 8538", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 8538}", "seed": "13783452191180885053", "semantic_fingerprint": "sha256:5a161e4f41588fa8903c0b0b536db097a3fb1e67140d9090e9404d7f7e1c0a7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001512", "prompt": "Evaluate: -15507 - (9094 + (-8788 + (-2729)))", "solution_steps": ["Add: -8788 + (-2729) = -11517", "Add: 9094 + (-11517) = -2423", "Subtract: -15507 - (-2423) = -13084"], "final_answer": "-13084", "answer_type": "integer", "kind": "expression", "math_text": "-15507 - (9094 + (-8788 + (-2729)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15507, \"b\": 9094, \"c\": -8788, \"d\": -2729}", "seed": "15375339680359848660", "semantic_fingerprint": "sha256:5852578199dcf9944ec4678e6324ba1d4bd887de985846ac2b48e21a73c096c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001513", "prompt": "Compute: (-5904 + 6114 - (-40191)) * (37579 + (-5667 + 7648))", "solution_steps": ["Add: -5904 + 6114 = 210", "Subtract: 210 - (-40191) = 40401", "Add: -5667 + 7648 = 1981", "Add: 37579 + 1981 = 39560", "Multiply: 40401 * 39560 = 1598263560"], "final_answer": "1598263560", "answer_type": "integer", "kind": "expression", "math_text": "(-5904 + 6114 - (-40191)) * (37579 + (-5667 + 7648))", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5904, \"b\": 6114, \"c\": -40191, \"d\": 37579, \"e\": -5667, \"f\": 7648}", "seed": "5950684158328046515", "semantic_fingerprint": "sha256:7c34fd0f36011377345058216aa4cb87477f2a0712a19932054656e2ca810815", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001514", "prompt": "Calculate: (-4415 - (-4517)) / ((72923 + (-6644)) / 7757)", "solution_steps": ["Subtract: -4415 - (-4517) = 102", "Add: 72923 + (-6644) = 66279", "Divide: 66279 / 7757 = 66279/7757", "Divide: 102 / (66279/7757) = 263738/22093"], "final_answer": "263738/22093", "answer_type": "rational", "kind": "expression", "math_text": "(-4415 - (-4517)) / ((72923 + (-6644)) / 7757)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4415, \"b\": -4517, \"c\": 72923, \"d\": -6644, \"e\": 7757}", "seed": "13672045160716814852", "semantic_fingerprint": "sha256:3a6a5d9b480613d01fae148a196a557354aecfbd8a7329b2cc12a91fca5be704", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001515", "prompt": "Solve for x: 29(x + 2749) = x + 75325", "solution_steps": ["Expand: 29x + 79721 = x + 75325", "Subtract x from both sides: 28x + 79721 = 75325", "Subtract 79721 from both sides: 28x = -4396", "Divide both sides by 28: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x + 2749) = x + 75325", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2749, \"d\": 75325, \"x\": -157}", "seed": "6389943113157735875", "semantic_fingerprint": "sha256:8cb38f21fa71fc5f6200fe41f8282e085651045d6223defd1d8b274606426144", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001516", "prompt": "Solve the equation 39(x + 5562) + 7645 = -15(x + 39408) + 7360 for x.", "solution_steps": ["Expand: 39x + 216918 + 7645 = -15(x + 39408) + 7360", "Expand: 39x + 216918 + 7645 = -15x - 591120 + 7360", "Combine constants: 39x + 224563 = -15x - 591120 + 7360", "Combine constants: 39x + 224563 = -15x - 583760", "Add 15x to both sides: 54x + 224563 = -583760", "Subtract 224563 from both sides: 54x = -808323", "Divide both sides by 54: x = -269441/18"], "final_answer": "-269441/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 5562) + 7645 = -15(x + 39408) + 7360", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5562, \"c\": 7645, \"d\": -15, \"e\": 39408, \"f\": 7360}", "seed": "705359273540619033", "semantic_fingerprint": "sha256:0f42d773268355dd94893268cae8c9769726d1141e3fe69d27d96fa22753e432", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001517", "prompt": "What is -5547 + (-99767 + (19151 + (-97946)) / (-6844))?", "solution_steps": ["Add: 19151 + (-97946) = -78795", "Divide: -78795 / (-6844) = 78795/6844", "Add: -99767 + 78795/6844 = -682726553/6844", "Add: -5547 + (-682726553/6844) = -720690221/6844"], "final_answer": "-720690221/6844", "answer_type": "rational", "kind": "expression", "math_text": "-5547 + (-99767 + (19151 + (-97946)) / (-6844))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (/ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5547, \"b\": -99767, \"c\": 19151, \"d\": -97946, \"e\": -6844}", "seed": "2966567065695045652", "semantic_fingerprint": "sha256:86c3f348d537005f0b71dcf2adf4fac18a86c9bca52ab5d6c5b622744eb6487a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001518", "prompt": "Evaluate: -59548 / (-11757) + (-5669)", "solution_steps": ["Divide: -59548 / (-11757) = 59548/11757", "Add: 59548/11757 + (-5669) = -66590885/11757"], "final_answer": "-66590885/11757", "answer_type": "rational", "kind": "expression", "math_text": "-59548 / (-11757) + (-5669)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59548, \"b\": -11757, \"c\": -5669}", "seed": "1864397119456950338", "semantic_fingerprint": "sha256:519bb0da580a5d14471fcbde2d37cda37236c4ac80698dd248db4a425af31d59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001519", "prompt": "Evaluate: -8932 * (65377 - 4378 / 37202)", "solution_steps": ["Divide: 4378 / 37202 = 199/1691", "Subtract: 65377 - 199/1691 = 110552308/1691", "Multiply: -8932 * (110552308/1691) = -987453215056/1691"], "final_answer": "-987453215056/1691", "answer_type": "rational", "kind": "expression", "math_text": "-8932 * (65377 - 4378 / 37202)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8932, \"b\": 65377, \"c\": 4378, \"d\": 37202}", "seed": "16778106806452388951", "semantic_fingerprint": "sha256:f70419916766deee8f3c29c781c05b1ac08fe84d9a5b7a373005f58a9d84c319", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001520", "prompt": "What value of x satisfies 30(x + 64491) = -14(x + 4359) + 90892?", "solution_steps": ["Expand: 30x + 1934730 = -14(x + 4359) + 90892", "Expand: 30x + 1934730 = -14x - 61026 + 90892", "Combine constants: 30x + 1934730 = -14x + 29866", "Add 14x to both sides: 44x + 1934730 = 29866", "Subtract 1934730 from both sides: 44x = -1904864", "Divide both sides by 44: x = -476216/11"], "final_answer": "-476216/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 64491) = -14(x + 4359) + 90892", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 64491, \"c\": -14, \"d\": 4359, \"e\": 90892}", "seed": "15555234355319006127", "semantic_fingerprint": "sha256:ef509051377598ee6af4266317913b5a5a704c7ef6b63646f127fb035faffbc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001521", "prompt": "Evaluate: 38433 - 2314 - (35241 - (6422 - 16989))", "solution_steps": ["Subtract: 38433 - 2314 = 36119", "Subtract: 6422 - 16989 = -10567", "Subtract: 35241 - (-10567) = 45808", "Subtract: 36119 - 45808 = -9689"], "final_answer": "-9689", "answer_type": "integer", "kind": "expression", "math_text": "38433 - 2314 - (35241 - (6422 - 16989))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38433, \"b\": 2314, \"c\": 35241, \"d\": 6422, \"e\": 16989}", "seed": "1788705861295896903", "semantic_fingerprint": "sha256:76ba4d85092299b373131ce7b18a4043749a8f2e0479ab49a730215f03112609", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001522", "prompt": "Find x: -15(x + 6379) + 81218 = x - 11715", "solution_steps": ["Expand: -15x - 95685 + 81218 = x - 11715", "Combine constants: -15x - 14467 = x - 11715", "Subtract x from both sides: -16x - 14467 = -11715", "Add 14467 to both sides: -16x = 2752", "Divide both sides by -16: x = -172"], "final_answer": "-172", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x + 6379) + 81218 = x - 11715", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 6379, \"c\": 81218, \"e\": -11715, \"x\": -172}", "seed": "103634713982725017", "semantic_fingerprint": "sha256:a4fc2505d07540892326a2691a3e71194eb9d7b7b60f6c72cfb3af9093c3b573", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001523", "prompt": "Find x: x + 67733 = 16x + 69563", "solution_steps": ["Subtract 16x from both sides: -15x + 67733 = 69563", "Subtract 67733 from both sides: -15x = 1830", "Divide both sides by -15: x = -122"], "final_answer": "-122", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 67733 = 16x + 69563", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 67733, \"b\": 16, \"d\": 69563, \"x\": -122}", "seed": "9493595873873992319", "semantic_fingerprint": "sha256:58e7bc02a4e4a1b5eb4220c9e70a163ed3e724d02c70973d51b2183c701ac0a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001524", "prompt": "Solve the equation -24(x - 3666) = 37(x - 8572) for x.", "solution_steps": ["Expand: -24x + 87984 = 37(x - 8572)", "Expand: -24x + 87984 = 37x - 317164", "Subtract 37x from both sides: -61x + 87984 = -317164", "Subtract 87984 from both sides: -61x = -405148", "Divide both sides by -61: x = 405148/61"], "final_answer": "405148/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x - 3666) = 37(x - 8572)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 3666, \"c\": 37, \"d\": 8572}", "seed": "9192102442694038898", "semantic_fingerprint": "sha256:ecd9d33803d224f050510e5c833a048fd46183bde390a30c2837e7d9bd3754ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001525", "prompt": "Solve for x: 37(x + 3795) + 80288 = -85313", "solution_steps": ["Expand: 37x + 140415 + 80288 = -85313", "Combine constants: 37x + 220703 = -85313", "Subtract 220703 from both sides: 37x = -306016", "Divide both sides by 37: x = -306016/37"], "final_answer": "-306016/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 3795) + 80288 = -85313", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 3795, \"c\": 80288, \"d\": -85313}", "seed": "6194878857900377166", "semantic_fingerprint": "sha256:c03702060e9b1dafaca8788c8ec086672edf2ae24d36f0c4dd0496b60a484722", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001526", "prompt": "Evaluate: 2708 * (-17325) + 2999", "solution_steps": ["Multiply: 2708 * (-17325) = -46916100", "Add: -46916100 + 2999 = -46913101"], "final_answer": "-46913101", "answer_type": "integer", "kind": "expression", "math_text": "2708 * (-17325) + 2999", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2708, \"b\": -17325, \"c\": 2999}", "seed": "9370066875324475537", "semantic_fingerprint": "sha256:586d390debd2183d0a628f7f4caddcf455bfe31139cd12841fd5800c83769d84", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001527", "prompt": "Compute: (5773 + (5163 - 1275)) * 61225", "solution_steps": ["Subtract: 5163 - 1275 = 3888", "Add: 5773 + 3888 = 9661", "Multiply: 9661 * 61225 = 591494725"], "final_answer": "591494725", "answer_type": "integer", "kind": "expression", "math_text": "(5773 + (5163 - 1275)) * 61225", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5773, \"b\": 5163, \"c\": 1275, \"d\": 61225}", "seed": "2683845147075873454", "semantic_fingerprint": "sha256:5bce1644ae8e4761ae0e6d312b8cb78d2d44aa2fc094ebf4d1ef19031036944b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001528", "prompt": "Compute: -7945 + (76901 + (6719 + 46023))", "solution_steps": ["Add: 6719 + 46023 = 52742", "Add: 76901 + 52742 = 129643", "Add: -7945 + 129643 = 121698"], "final_answer": "121698", "answer_type": "integer", "kind": "expression", "math_text": "-7945 + (76901 + (6719 + 46023))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7945, \"b\": 76901, \"c\": 6719, \"d\": 46023}", "seed": "16607021526314550658", "semantic_fingerprint": "sha256:327ce9b7973d8c75e20a954c9400f241f0106b41c0daa65ee47ef7734743eacd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001529", "prompt": "Evaluate: (42140 + 7365) / 2514", "solution_steps": ["Add: 42140 + 7365 = 49505", "Divide: 49505 / 2514 = 49505/2514"], "final_answer": "49505/2514", "answer_type": "rational", "kind": "expression", "math_text": "(42140 + 7365) / 2514", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 42140, \"b\": 7365, \"c\": 2514}", "seed": "17251412629229545337", "semantic_fingerprint": "sha256:92bff3eb7040722da54d30d53403d3681bf45c008d415276322a3fd8f46ef30f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001530", "prompt": "Evaluate: -54056 - (-8874 + (-1232))", "solution_steps": ["Add: -8874 + (-1232) = -10106", "Subtract: -54056 - (-10106) = -43950"], "final_answer": "-43950", "answer_type": "integer", "kind": "expression", "math_text": "-54056 - (-8874 + (-1232))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -54056, \"b\": -8874, \"c\": -1232}", "seed": "14386865871577425237", "semantic_fingerprint": "sha256:9baf2fb4005a29d123b18eecd7b264de7cc8589ab7f4cfa89805dc2c6946609c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001531", "prompt": "Compute: 38334 + (-8056) * ((-3569 + (-2239)) / (-5009))", "solution_steps": ["Add: -3569 + (-2239) = -5808", "Divide: -5808 / (-5009) = 5808/5009", "Multiply: -8056 * (5808/5009) = -46789248/5009", "Add: 38334 + (-46789248/5009) = 145225758/5009"], "final_answer": "145225758/5009", "answer_type": "rational", "kind": "expression", "math_text": "38334 + (-8056) * ((-3569 + (-2239)) / (-5009))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (/ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38334, \"b\": -8056, \"c\": -3569, \"d\": -2239, \"e\": -5009}", "seed": "7598120565160514849", "semantic_fingerprint": "sha256:a5a9bf05781b4b2485f36049fa1fa29df19d7d606681621f5eacd4e5fbf09bf2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001532", "prompt": "Calculate: (29410 + 1405) * (-5139) / (9944 + (-4615 + (-31914)))", "solution_steps": ["Add: 29410 + 1405 = 30815", "Multiply: 30815 * (-5139) = -158358285", "Add: -4615 + (-31914) = -36529", "Add: 9944 + (-36529) = -26585", "Divide: -158358285 / (-26585) = 31671657/5317"], "final_answer": "31671657/5317", "answer_type": "rational", "kind": "expression", "math_text": "(29410 + 1405) * (-5139) / (9944 + (-4615 + (-31914)))", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29410, \"b\": 1405, \"c\": -5139, \"d\": 9944, \"e\": -4615, \"f\": -31914}", "seed": "15239366262376545550", "semantic_fingerprint": "sha256:a6ed62e4716af464241f6e47f825a1cb2db7771f7100690e854980dd584a9074", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001533", "prompt": "Evaluate: 8283 - (-31960 / (-3919) - (-8354))", "solution_steps": ["Divide: -31960 / (-3919) = 31960/3919", "Subtract: 31960/3919 - (-8354) = 32771286/3919", "Subtract: 8283 - 32771286/3919 = -310209/3919"], "final_answer": "-310209/3919", "answer_type": "rational", "kind": "expression", "math_text": "8283 - (-31960 / (-3919) - (-8354))", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8283, \"b\": -31960, \"c\": -3919, \"d\": -8354}", "seed": "15156036305970474977", "semantic_fingerprint": "sha256:3609a192ce81bb3392e9f45e9521a223ff8521ce103209e78246d79a21a6ea73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001534", "prompt": "Solve for x: 15(x - 69936) + 3711 = x - 5877", "solution_steps": ["Expand: 15x - 1049040 + 3711 = x - 5877", "Combine constants: 15x - 1045329 = x - 5877", "Subtract x from both sides: 14x - 1045329 = -5877", "Add 1045329 to both sides: 14x = 1039452", "Divide both sides by 14: x = 519726/7"], "final_answer": "519726/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 69936) + 3711 = x - 5877", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 69936, \"c\": 3711, \"d\": 5877}", "seed": "18321998381973728060", "semantic_fingerprint": "sha256:a85a85866967976c297fc05ccf7a07370232ebe8f0b417d3ff9365d37d671e9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001535", "prompt": "What is 12875 / 8751 + (-8248 * (-12808) - (-9474 - (-8899)))?", "solution_steps": ["Divide: 12875 / 8751 = 12875/8751", "Multiply: -8248 * (-12808) = 105640384", "Subtract: -9474 - (-8899) = -575", "Subtract: 105640384 - (-575) = 105640959", "Add: 12875/8751 + 105640959 = 924464045084/8751"], "final_answer": "924464045084/8751", "answer_type": "rational", "kind": "expression", "math_text": "12875 / 8751 + (-8248 * (-12808) - (-9474 - (-8899)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (* n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 12875, \"b\": 8751, \"c\": -8248, \"d\": -12808, \"e\": -9474, \"f\": -8899}", "seed": "14161535477148757391", "semantic_fingerprint": "sha256:a381da8f12898d2cfecaf30de3725b0486d6278a0c316a6b00ed5829a40401a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001536", "prompt": "Evaluate: -9185 / (-2431) + (-1400)", "solution_steps": ["Divide: -9185 / (-2431) = 835/221", "Add: 835/221 + (-1400) = -308565/221"], "final_answer": "-308565/221", "answer_type": "rational", "kind": "expression", "math_text": "-9185 / (-2431) + (-1400)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9185, \"b\": -2431, \"c\": -1400}", "seed": "10338925121652694755", "semantic_fingerprint": "sha256:ae3f907b7093e5ba2e8f4f32a641f5947881402b21f12ce9488e69973d156380", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001537", "prompt": "Find x: 17x = -13(x - 1417)", "solution_steps": ["Expand: 17x = -13x + 18421", "Add 13x to both sides: 30x = 18421", "Divide both sides by 30: x = 18421/30"], "final_answer": "18421/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x = -13(x - 1417)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": -13, \"c\": 1417}", "seed": "7059093955813010641", "semantic_fingerprint": "sha256:a17ec5ce2794060dd28ec97260d8636993eb4e5db6d60cfad4958048a8e80030", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001538", "prompt": "Solve for x: 22x + 73351 = 29x + 38974", "solution_steps": ["Subtract 29x from both sides: -7x + 73351 = 38974", "Subtract 73351 from both sides: -7x = -34377", "Divide both sides by -7: x = 4911"], "final_answer": "4911", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x + 73351 = 29x + 38974", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 73351, \"c\": 29, \"d\": 38974}", "seed": "6910730776058371019", "semantic_fingerprint": "sha256:739568bf157ccad77355c8a0a938d0c3af55b40ad35ec7c1a34d1533717abda4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001539", "prompt": "Calculate: 19683 - 31628 * (2758 - (-47952))", "solution_steps": ["Subtract: 2758 - (-47952) = 50710", "Multiply: 31628 * 50710 = 1603855880", "Subtract: 19683 - 1603855880 = -1603836197"], "final_answer": "-1603836197", "answer_type": "integer", "kind": "expression", "math_text": "19683 - 31628 * (2758 - (-47952))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19683, \"b\": 31628, \"c\": 2758, \"d\": -47952}", "seed": "13136790102826363530", "semantic_fingerprint": "sha256:cf6f50f0295d36f035c4c5e5019bcc949365eeda8d59ce8ddc334cc0c2324c54", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001540", "prompt": "What is -8315 - (-4170 - (-59900)) + (-24438)?", "solution_steps": ["Subtract: -4170 - (-59900) = 55730", "Subtract: -8315 - 55730 = -64045", "Add: -64045 + (-24438) = -88483"], "final_answer": "-88483", "answer_type": "integer", "kind": "expression", "math_text": "-8315 - (-4170 - (-59900)) + (-24438)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8315, \"b\": -4170, \"c\": -59900, \"d\": -24438}", "seed": "6028292686591020620", "semantic_fingerprint": "sha256:e3d78f983f69ab0095256c7594ee5f9c24637c89b9911ef7635df9b04e04c7c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001541", "prompt": "What is -6979 * (-93374 - 19985)?", "solution_steps": ["Subtract: -93374 - 19985 = -113359", "Multiply: -6979 * (-113359) = 791132461"], "final_answer": "791132461", "answer_type": "integer", "kind": "expression", "math_text": "-6979 * (-93374 - 19985)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6979, \"b\": -93374, \"c\": 19985}", "seed": "4163603310785017057", "semantic_fingerprint": "sha256:a6444bdbf3973815f170fd8af42bfacf420d7aa18c82ad0136e7f34e858c996b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001542", "prompt": "Calculate: -6494 / 73865 - 1135", "solution_steps": ["Divide: -6494 / 73865 = -382/4345", "Subtract: -382/4345 - 1135 = -4931957/4345"], "final_answer": "-4931957/4345", "answer_type": "rational", "kind": "expression", "math_text": "-6494 / 73865 - 1135", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6494, \"b\": 73865, \"c\": 1135}", "seed": "3073800214959755075", "semantic_fingerprint": "sha256:95b596c4664c9edae299a62ad739e3eed1d92d1a10a30734a793509dfb5c8871", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001543", "prompt": "What is 5521 * 1796 * (-1367)?", "solution_steps": ["Multiply: 5521 * 1796 = 9915716", "Multiply: 9915716 * (-1367) = -13554783772"], "final_answer": "-13554783772", "answer_type": "integer", "kind": "expression", "math_text": "5521 * 1796 * (-1367)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5521, \"b\": 1796, \"c\": -1367}", "seed": "14727611714553175384", "semantic_fingerprint": "sha256:0c30555d085e1e59a80a6fdef592e433d7775031e0942be85f5ba184ac100d2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001544", "prompt": "Evaluate: (94503 + 3583) / (-6928)", "solution_steps": ["Add: 94503 + 3583 = 98086", "Divide: 98086 / (-6928) = -49043/3464"], "final_answer": "-49043/3464", "answer_type": "rational", "kind": "expression", "math_text": "(94503 + 3583) / (-6928)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 94503, \"b\": 3583, \"c\": -6928}", "seed": "5856457602397418271", "semantic_fingerprint": "sha256:634abdca61bda14b0d6dbf2cb66b4ba22d1f11a3a3b7bba9274b551e1b0092c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001545", "prompt": "Evaluate: -9422 + (-25953)", "solution_steps": ["Add: -9422 + (-25953) = -35375"], "final_answer": "-35375", "answer_type": "integer", "kind": "expression", "math_text": "-9422 + (-25953)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9422, \"b\": -25953}", "seed": "6660269524510982816", "semantic_fingerprint": "sha256:d1a46c9e1cc209a018bcd670a47319758e6a5ea194aa19e7789b217291f4915c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001546", "prompt": "Solve for x: 20(x - 6749) - 2363 = x - 1237", "solution_steps": ["Expand: 20x - 134980 - 2363 = x - 1237", "Combine constants: 20x - 137343 = x - 1237", "Subtract x from both sides: 19x - 137343 = -1237", "Add 137343 to both sides: 19x = 136106", "Divide both sides by 19: x = 136106/19"], "final_answer": "136106/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 6749) - 2363 = x - 1237", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 6749, \"c\": 2363, \"d\": 1237}", "seed": "11907050089250377816", "semantic_fingerprint": "sha256:a66321f45a0b356e28e480616719062ac1bdbd1902f70590e26b27b2c9a9b017", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001547", "prompt": "Evaluate: 9393 + 36673 * (-3228 + 33128)", "solution_steps": ["Add: -3228 + 33128 = 29900", "Multiply: 36673 * 29900 = 1096522700", "Add: 9393 + 1096522700 = 1096532093"], "final_answer": "1096532093", "answer_type": "integer", "kind": "expression", "math_text": "9393 + 36673 * (-3228 + 33128)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9393, \"b\": 36673, \"c\": -3228, \"d\": 33128}", "seed": "1343746023586121435", "semantic_fingerprint": "sha256:ba0e6130fe465d4f616821ea271e05aed6938593eeb0c72c312355be1c21533c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001548", "prompt": "What is -47085 + (-87204 - 1356)?", "solution_steps": ["Subtract: -87204 - 1356 = -88560", "Add: -47085 + (-88560) = -135645"], "final_answer": "-135645", "answer_type": "integer", "kind": "expression", "math_text": "-47085 + (-87204 - 1356)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47085, \"b\": -87204, \"c\": 1356}", "seed": "12080892871973216955", "semantic_fingerprint": "sha256:2aff80393424f85d5334a72344830c64f273c5abe1674b2ef323376b4fe30d17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001549", "prompt": "Compute: -97810 - (4509 - (-5996)) + (-54180)", "solution_steps": ["Subtract: 4509 - (-5996) = 10505", "Subtract: -97810 - 10505 = -108315", "Add: -108315 + (-54180) = -162495"], "final_answer": "-162495", "answer_type": "integer", "kind": "expression", "math_text": "-97810 - (4509 - (-5996)) + (-54180)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -97810, \"b\": 4509, \"c\": -5996, \"d\": -54180}", "seed": "4899258473700181297", "semantic_fingerprint": "sha256:486d1f0bb10543a5acb9c845f2e7a1efdfde8397a96f68e647f87ff19d206037", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001550", "prompt": "Compute: (-84757 - 8397) * (-4825) / (-21875)", "solution_steps": ["Subtract: -84757 - 8397 = -93154", "Multiply: -93154 * (-4825) = 449468050", "Divide: 449468050 / (-21875) = -17978722/875"], "final_answer": "-17978722/875", "answer_type": "rational", "kind": "expression", "math_text": "(-84757 - 8397) * (-4825) / (-21875)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -84757, \"b\": 8397, \"c\": -4825, \"d\": -21875}", "seed": "14352045652500660317", "semantic_fingerprint": "sha256:3f8d6d377098cb043819e677e514d85b5d32965c056ae6f5d4d69825bc39cad1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001551", "prompt": "Solve the equation 30x + 39033 = 36(x + 3735) - 95895 for x.", "solution_steps": ["Expand: 30x + 39033 = 36x + 134460 - 95895", "Combine constants: 30x + 39033 = 36x + 38565", "Subtract 36x from both sides: -6x + 39033 = 38565", "Subtract 39033 from both sides: -6x = -468", "Divide both sides by -6: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 39033 = 36(x + 3735) - 95895", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 39033, \"c\": 36, \"d\": 3735, \"f\": -95895, \"x\": 78}", "seed": "6963156936360555437", "semantic_fingerprint": "sha256:9273aece18ea50881f5cae3e2637453cedb49e3bb7ea0710e97e6c7674058d2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001552", "prompt": "Find x: 29x = 13(x - 3560)", "solution_steps": ["Expand: 29x = 13x - 46280", "Subtract 13x from both sides: 16x = -46280", "Divide both sides by 16: x = -5785/2"], "final_answer": "-5785/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x = 13(x - 3560)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 13, \"c\": 3560}", "seed": "13819620087321343539", "semantic_fingerprint": "sha256:9cf9eff41585b00cfcae56d1b022346c39e916d5d54d8b85bc6fec2b7c3509b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001553", "prompt": "Solve the equation -24(x - 1195) - 33580 = x for x.", "solution_steps": ["Expand: -24x + 28680 - 33580 = x", "Combine constants: -24x - 4900 = x", "Subtract x from both sides: -25x - 4900 = 0", "Add 4900 to both sides: -25x = 4900", "Divide both sides by -25: x = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24(x - 1195) - 33580 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 1195, \"d\": -33580, \"x\": -196}", "seed": "7852720846298411982", "semantic_fingerprint": "sha256:1b1cb689125dc2b9ea69f85053d4a2981131ffc20410c877d078a7ea4264781d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001554", "prompt": "Find x: x - 5944 = 2135", "solution_steps": ["Add 5944 to both sides: x = 8079"], "final_answer": "8079", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5944 = 2135", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5944, \"b\": 2135}", "seed": "5529262930300441674", "semantic_fingerprint": "sha256:af5ea0b684dcf6fc9ce9bdde821f32e6ec5cc2f8c8f7189847ad0f4bae3e96f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001555", "prompt": "Evaluate: -8111 / (-14225)", "solution_steps": ["Divide: -8111 / (-14225) = 8111/14225"], "final_answer": "8111/14225", "answer_type": "rational", "kind": "expression", "math_text": "-8111 / (-14225)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8111, \"b\": -14225}", "seed": "15745943658862683839", "semantic_fingerprint": "sha256:b95f8da6e233ed7c84549ca761b218b46d5c7d65a23a57db198aaab2cf235c39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001556", "prompt": "Solve the equation 40(x - 5849) = 36(x + 26086) for x.", "solution_steps": ["Expand: 40x - 233960 = 36(x + 26086)", "Expand: 40x - 233960 = 36x + 939096", "Subtract 36x from both sides: 4x - 233960 = 939096", "Add 233960 to both sides: 4x = 1173056", "Divide both sides by 4: x = 293264"], "final_answer": "293264", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 5849) = 36(x + 26086)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 5849, \"c\": 36, \"d\": 26086}", "seed": "10518364068754539715", "semantic_fingerprint": "sha256:381f5f4a90c61012983eff6d608d593f42fa096a9f3220c95640be011b350d27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001557", "prompt": "Evaluate: 1409 / (21004 / (-94847))", "solution_steps": ["Divide: 21004 / (-94847) = -21004/94847", "Divide: 1409 / (-21004/94847) = -133639423/21004"], "final_answer": "-133639423/21004", "answer_type": "rational", "kind": "expression", "math_text": "1409 / (21004 / (-94847))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1409, \"b\": 21004, \"c\": -94847}", "seed": "2617999703523494949", "semantic_fingerprint": "sha256:2ffcb2e7e0d00be3fb6fdba47148be084a8a21b636a6b53edad10f0d0aea6a63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001558", "prompt": "Evaluate: -77005 - (-7374 - 49892) - (2473 - 18413)", "solution_steps": ["Subtract: -7374 - 49892 = -57266", "Subtract: -77005 - (-57266) = -19739", "Subtract: 2473 - 18413 = -15940", "Subtract: -19739 - (-15940) = -3799"], "final_answer": "-3799", "answer_type": "integer", "kind": "expression", "math_text": "-77005 - (-7374 - 49892) - (2473 - 18413)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -77005, \"b\": -7374, \"c\": 49892, \"d\": 2473, \"e\": 18413}", "seed": "1963777524483588914", "semantic_fingerprint": "sha256:b56d13c0e05490ef5261e098bea6a2e0a5339d792b24f52604603e668ba699a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001559", "prompt": "Compute: 41963 / (-4206)", "solution_steps": ["Divide: 41963 / (-4206) = -41963/4206"], "final_answer": "-41963/4206", "answer_type": "rational", "kind": "expression", "math_text": "41963 / (-4206)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41963, \"b\": -4206}", "seed": "13864695456710697182", "semantic_fingerprint": "sha256:f7e8492d23a5209fe7c33622a8e38f5bde7448ff72b23bdb0e8df2ef9cc8f45e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001560", "prompt": "Calculate: -52794 - 2857 * (-63195) + 8275", "solution_steps": ["Multiply: 2857 * (-63195) = -180548115", "Subtract: -52794 - (-180548115) = 180495321", "Add: 180495321 + 8275 = 180503596"], "final_answer": "180503596", "answer_type": "integer", "kind": "expression", "math_text": "-52794 - 2857 * (-63195) + 8275", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -52794, \"b\": 2857, \"c\": -63195, \"d\": 8275}", "seed": "5010975551448820499", "semantic_fingerprint": "sha256:8d316bfb38dbf180d9caf11a1cb454cfe13c324191023a154c8fa99f17bbff89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001561", "prompt": "Evaluate: 5808 * (-89240)", "solution_steps": ["Multiply: 5808 * (-89240) = -518305920"], "final_answer": "-518305920", "answer_type": "integer", "kind": "expression", "math_text": "5808 * (-89240)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5808, \"b\": -89240}", "seed": "1109482589629905108", "semantic_fingerprint": "sha256:d13a63146090a852800a8148f7779c1b6ac8ed90d84a82056ed398eaf6a9c8bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001562", "prompt": "Compute: -5539 / 2556 - (58926 + 1184)", "solution_steps": ["Divide: -5539 / 2556 = -5539/2556", "Add: 58926 + 1184 = 60110", "Subtract: -5539/2556 - 60110 = -153646699/2556"], "final_answer": "-153646699/2556", "answer_type": "rational", "kind": "expression", "math_text": "-5539 / 2556 - (58926 + 1184)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5539, \"b\": 2556, \"c\": 58926, \"d\": 1184}", "seed": "9672905283822960238", "semantic_fingerprint": "sha256:cbde90fbe26356d8570c66a54f79d6dc0e351ddf448787420d0c4e79e8bbc7fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001563", "prompt": "What value of x satisfies -35x - 5521 = 38(x + 8719)?", "solution_steps": ["Expand: -35x - 5521 = 38x + 331322", "Subtract 38x from both sides: -73x - 5521 = 331322", "Add 5521 to both sides: -73x = 336843", "Divide both sides by -73: x = -336843/73"], "final_answer": "-336843/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35x - 5521 = 38(x + 8719)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 5521, \"c\": 38, \"d\": 8719}", "seed": "1761511585516234925", "semantic_fingerprint": "sha256:bfe982f0ac2173f3860ccfbff22a0612da34f8760d9576fbe16e94de164aecd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001564", "prompt": "Compute: -6296 + (-8588)", "solution_steps": ["Add: -6296 + (-8588) = -14884"], "final_answer": "-14884", "answer_type": "integer", "kind": "expression", "math_text": "-6296 + (-8588)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6296, \"b\": -8588}", "seed": "15934053346180731381", "semantic_fingerprint": "sha256:a8d53fd42c77ad0489b6abaeaf8c622f17474e82bb73dc8b69d2bf3e13ae413e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001565", "prompt": "Compute: 28087 - 5931 / (-4063) + (96345 + (-2897 + (-73635)))", "solution_steps": ["Divide: 5931 / (-4063) = -5931/4063", "Subtract: 28087 - (-5931/4063) = 114123412/4063", "Add: -2897 + (-73635) = -76532", "Add: 96345 + (-76532) = 19813", "Add: 114123412/4063 + 19813 = 194623631/4063"], "final_answer": "194623631/4063", "answer_type": "rational", "kind": "expression", "math_text": "28087 - 5931 / (-4063) + (96345 + (-2897 + (-73635)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28087, \"b\": 5931, \"c\": -4063, \"d\": 96345, \"e\": -2897, \"f\": -73635}", "seed": "1687596896458231416", "semantic_fingerprint": "sha256:52165971fd27ca11c05d6a59d89ea82587bb450c112bcae63ae723c55cb46590", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001566", "prompt": "Calculate: -4936 - (29035 - (-2111) - (-3329 - 2184))", "solution_steps": ["Subtract: 29035 - (-2111) = 31146", "Subtract: -3329 - 2184 = -5513", "Subtract: 31146 - (-5513) = 36659", "Subtract: -4936 - 36659 = -41595"], "final_answer": "-41595", "answer_type": "integer", "kind": "expression", "math_text": "-4936 - (29035 - (-2111) - (-3329 - 2184))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4936, \"b\": 29035, \"c\": -2111, \"d\": -3329, \"e\": 2184}", "seed": "7331081417235265356", "semantic_fingerprint": "sha256:89dd2e6f57ad100a9306c2e0ef45b9dc6eccc4b1a264209c79a3709eb1feaf4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001567", "prompt": "Solve for x: 17(x + 2293) - 46181 = -28x", "solution_steps": ["Expand: 17x + 38981 - 46181 = -28x", "Combine constants: 17x - 7200 = -28x", "Add 28x to both sides: 45x - 7200 = 0", "Add 7200 to both sides: 45x = 7200", "Divide both sides by 45: x = 160"], "final_answer": "160", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 2293) - 46181 = -28x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 2293, \"c\": -28, \"e\": -46181, \"x\": 160}", "seed": "13479232735250193143", "semantic_fingerprint": "sha256:0c9495161f5fedc3780dc09cf1733b759d6a693ba52e6413d12a65cc155f174f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001568", "prompt": "Calculate: 27620 - (8914 - 95727)", "solution_steps": ["Subtract: 8914 - 95727 = -86813", "Subtract: 27620 - (-86813) = 114433"], "final_answer": "114433", "answer_type": "integer", "kind": "expression", "math_text": "27620 - (8914 - 95727)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27620, \"b\": 8914, \"c\": 95727}", "seed": "14478687243254011926", "semantic_fingerprint": "sha256:e79b7cd097d45a714319e905f9cd043b5047d8274477795b45b328fe5cb5ab9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001569", "prompt": "What is -37490 * (-36465) - (-9083 - (-62767))?", "solution_steps": ["Multiply: -37490 * (-36465) = 1367072850", "Subtract: -9083 - (-62767) = 53684", "Subtract: 1367072850 - 53684 = 1367019166"], "final_answer": "1367019166", "answer_type": "integer", "kind": "expression", "math_text": "-37490 * (-36465) - (-9083 - (-62767))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37490, \"b\": -36465, \"c\": -9083, \"d\": -62767}", "seed": "3737627757084368638", "semantic_fingerprint": "sha256:9027ed752cda7a05858d3cbee6264d74f6ea7938c3cb1e8f430a1f3ea6a04c50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001570", "prompt": "Find x: x = 18(x - 33681) - 7172", "solution_steps": ["Expand: x = 18x - 606258 - 7172", "Combine constants: x = 18x - 613430", "Subtract 18x from both sides: -17x = -613430", "Divide both sides by -17: x = 613430/17"], "final_answer": "613430/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 18(x - 33681) - 7172", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 33681, \"c\": 7172}", "seed": "7573461714654688621", "semantic_fingerprint": "sha256:0f953b5b15a5b6164d5eca7332bd389c6e806ca1cfb7a511a974ccfda6bfe410", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001571", "prompt": "Evaluate: -11288 * (-1940 * (-9353))", "solution_steps": ["Multiply: -1940 * (-9353) = 18144820", "Multiply: -11288 * 18144820 = -204818728160"], "final_answer": "-204818728160", "answer_type": "integer", "kind": "expression", "math_text": "-11288 * (-1940 * (-9353))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11288, \"b\": -1940, \"c\": -9353}", "seed": "661548588754815489", "semantic_fingerprint": "sha256:bfa7a8bbac38d43b8d8d72a2b3a61d25cebc2407da6002727ba177619a97bc79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001572", "prompt": "Calculate: -45129 - (-3300 - 9880) * 1675", "solution_steps": ["Subtract: -3300 - 9880 = -13180", "Multiply: -13180 * 1675 = -22076500", "Subtract: -45129 - (-22076500) = 22031371"], "final_answer": "22031371", "answer_type": "integer", "kind": "expression", "math_text": "-45129 - (-3300 - 9880) * 1675", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45129, \"b\": -3300, \"c\": 9880, \"d\": 1675}", "seed": "7365862305192821734", "semantic_fingerprint": "sha256:d432ee596b4ad9d9a614c18d929242437957fb66fdab60231e7c44b964f61981", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001573", "prompt": "Find x: -20x + 7787 = x + 6272", "solution_steps": ["Subtract x from both sides: -21x + 7787 = 6272", "Subtract 7787 from both sides: -21x = -1515", "Divide both sides by -21: x = 505/7"], "final_answer": "505/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x + 7787 = x + 6272", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 7787, \"c\": 6272}", "seed": "14231064380561754673", "semantic_fingerprint": "sha256:fc0ab6f31b00b8eeec31ac727d226cf72faee9a0e506884a8ae264fc9d509f43", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001574", "prompt": "Compute: -3126 + (-7131)", "solution_steps": ["Add: -3126 + (-7131) = -10257"], "final_answer": "-10257", "answer_type": "integer", "kind": "expression", "math_text": "-3126 + (-7131)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3126, \"b\": -7131}", "seed": "15398666355501459302", "semantic_fingerprint": "sha256:ce522dfed36fe48357f7e71fdbe9456d311491226f9fe16f1bbb317e90b207a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001575", "prompt": "What value of x satisfies x + 7301 = 43867?", "solution_steps": ["Subtract 7301 from both sides: x = 36566"], "final_answer": "36566", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7301 = 43867", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7301, \"b\": 43867}", "seed": "7772302655093406091", "semantic_fingerprint": "sha256:341b989d54bb03c9f27ccbe8bc855fb2468321155540d42be4a4b7451a82f208", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001576", "prompt": "Evaluate: -1872 * 3693", "solution_steps": ["Multiply: -1872 * 3693 = -6913296"], "final_answer": "-6913296", "answer_type": "integer", "kind": "expression", "math_text": "-1872 * 3693", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1872, \"b\": 3693}", "seed": "14603953289667225670", "semantic_fingerprint": "sha256:0a80fad539ae1540011fb86b35d5933d154dc7380a71af846577b34848b32ab0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001577", "prompt": "Evaluate: -20837 - 53133 / (1326 + 59582) * 2313", "solution_steps": ["Add: 1326 + 59582 = 60908", "Divide: 53133 / 60908 = 53133/60908", "Multiply: (53133/60908) * 2313 = 122896629/60908", "Subtract: -20837 - 122896629/60908 = -1392036625/60908"], "final_answer": "-1392036625/60908", "answer_type": "rational", "kind": "expression", "math_text": "-20837 - 53133 / (1326 + 59582) * 2313", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20837, \"b\": 53133, \"c\": 1326, \"d\": 59582, \"e\": 2313}", "seed": "15697156444500551682", "semantic_fingerprint": "sha256:bf5f9e0e4adba7da06cc4d2888ec531e59223f26c0d6bbb1329269aebc8fd9b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001578", "prompt": "Find x: 34x - 16117 = x - 10573", "solution_steps": ["Subtract x from both sides: 33x - 16117 = -10573", "Add 16117 to both sides: 33x = 5544", "Divide both sides by 33: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x - 16117 = x - 10573", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 16117, \"d\": -10573, \"x\": 168}", "seed": "9614358158927696716", "semantic_fingerprint": "sha256:b1d6e54ece79d9837daf67b36b53e9aff6538f380a240d8c171146c01090bad9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001579", "prompt": "Find x: 22(x + 3792) + 4316 = 5388", "solution_steps": ["Expand: 22x + 83424 + 4316 = 5388", "Combine constants: 22x + 87740 = 5388", "Subtract 87740 from both sides: 22x = -82352", "Divide both sides by 22: x = -41176/11"], "final_answer": "-41176/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 3792) + 4316 = 5388", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 3792, \"c\": 4316, \"d\": 5388}", "seed": "6958866668760715618", "semantic_fingerprint": "sha256:d142e8f4e577b76d356c55db216983433831d2018f6d89774d06564aec2b19c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001580", "prompt": "What is (95029 * (-2506) - (-7233)) / (5114 - (-5271)) - (-27529)?", "solution_steps": ["Multiply: 95029 * (-2506) = -238142674", "Subtract: -238142674 - (-7233) = -238135441", "Subtract: 5114 - (-5271) = 10385", "Divide: -238135441 / 10385 = -238135441/10385", "Subtract: -238135441/10385 - (-27529) = 47753224/10385"], "final_answer": "47753224/10385", "answer_type": "rational", "kind": "expression", "math_text": "(95029 * (-2506) - (-7233)) / (5114 - (-5271)) - (-27529)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- (* n n) n) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 95029, \"b\": -2506, \"c\": -7233, \"d\": 5114, \"e\": -5271, \"f\": -27529}", "seed": "9122601366637088672", "semantic_fingerprint": "sha256:2f8fce6adb1f1e1d78a6aa405df67035ad310f1a1d0c0f70a2fcd352993f3c74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001581", "prompt": "What value of x satisfies 40(x + 6989) = 34x - 5610?", "solution_steps": ["Expand: 40x + 279560 = 34x - 5610", "Subtract 34x from both sides: 6x + 279560 = -5610", "Subtract 279560 from both sides: 6x = -285170", "Divide both sides by 6: x = -142585/3"], "final_answer": "-142585/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 6989) = 34x - 5610", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 6989, \"c\": 34, \"d\": 5610}", "seed": "13491332686750439904", "semantic_fingerprint": "sha256:b0c3a1f9e3234796c535180b6f4b4ec9c45442d45617d25ec28f7a43322d5fa2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001582", "prompt": "Evaluate: 9751 - 2494 / (-14492) + (-9261)", "solution_steps": ["Divide: 2494 / (-14492) = -1247/7246", "Subtract: 9751 - (-1247/7246) = 70656993/7246", "Add: 70656993/7246 + (-9261) = 3551787/7246"], "final_answer": "3551787/7246", "answer_type": "rational", "kind": "expression", "math_text": "9751 - 2494 / (-14492) + (-9261)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9751, \"b\": 2494, \"c\": -14492, \"d\": -9261}", "seed": "17984108936149196726", "semantic_fingerprint": "sha256:690dc9673e06aa7dc536c742ccf9665be24a94546515c44b70a33a9fbd055039", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001583", "prompt": "What is (-61190 + (-4142) - 8734) * (-30631)?", "solution_steps": ["Add: -61190 + (-4142) = -65332", "Subtract: -65332 - 8734 = -74066", "Multiply: -74066 * (-30631) = 2268715646"], "final_answer": "2268715646", "answer_type": "integer", "kind": "expression", "math_text": "(-61190 + (-4142) - 8734) * (-30631)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -61190, \"b\": -4142, \"c\": 8734, \"d\": -30631}", "seed": "17654704224074767355", "semantic_fingerprint": "sha256:e6073370f7044d9c9e359a423d1c90d69e3e22d6761298435af43b564728dbf9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001584", "prompt": "Solve the equation 36(x + 44344) = x - 2983 for x.", "solution_steps": ["Expand: 36x + 1596384 = x - 2983", "Subtract x from both sides: 35x + 1596384 = -2983", "Subtract 1596384 from both sides: 35x = -1599367", "Divide both sides by 35: x = -228481/5"], "final_answer": "-228481/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 44344) = x - 2983", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 44344, \"c\": 2983}", "seed": "1927423966887874310", "semantic_fingerprint": "sha256:b44a3e074543be27fb8973feefe5c2326a027ca584bb82b5387856b26e890737", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001585", "prompt": "Solve the equation -37x + 5852 = x for x.", "solution_steps": ["Subtract x from both sides: -38x + 5852 = 0", "Subtract 5852 from both sides: -38x = -5852", "Divide both sides by -38: x = 154"], "final_answer": "154", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x + 5852 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"c\": 5852, \"x\": 154}", "seed": "9435812217555075075", "semantic_fingerprint": "sha256:143af3cd8e44250cdf690e240ad923aa9cd49851fbda46e26fc953ad81cdd6ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001586", "prompt": "Find x: 36x = x + 6020", "solution_steps": ["Subtract x from both sides: 35x = 6020", "Divide both sides by 35: x = 172"], "final_answer": "172", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x = x + 6020", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"c\": 6020, \"x\": 172}", "seed": "7031751443614374921", "semantic_fingerprint": "sha256:fa8e72fdc3c5875680fa271ac99910b646ad2aaedc26247293ea789bc552e454", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001587", "prompt": "Calculate: (-6129 - (-5887) * (-52205)) * 2920", "solution_steps": ["Multiply: -5887 * (-52205) = 307330835", "Subtract: -6129 - 307330835 = -307336964", "Multiply: -307336964 * 2920 = -897423934880"], "final_answer": "-897423934880", "answer_type": "integer", "kind": "expression", "math_text": "(-6129 - (-5887) * (-52205)) * 2920", "variable": null, "family": "expression_3op", "shape": "(* (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6129, \"b\": -5887, \"c\": -52205, \"d\": 2920}", "seed": "2134797139915062649", "semantic_fingerprint": "sha256:de4239b1e81f98edd2958bc752e84fd961baf492f9b1372ab3a1aa838a1b9c2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001588", "prompt": "Solve the equation 24(x - 88890) - 84361 = 26(x - 3214) + 3956 for x.", "solution_steps": ["Expand: 24x - 2133360 - 84361 = 26(x - 3214) + 3956", "Expand: 24x - 2133360 - 84361 = 26x - 83564 + 3956", "Combine constants: 24x - 2217721 = 26x - 83564 + 3956", "Combine constants: 24x - 2217721 = 26x - 79608", "Subtract 26x from both sides: -2x - 2217721 = -79608", "Add 2217721 to both sides: -2x = 2138113", "Divide both sides by -2: x = -2138113/2"], "final_answer": "-2138113/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 88890) - 84361 = 26(x - 3214) + 3956", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 88890, \"c\": 84361, \"d\": 26, \"e\": 3214, \"f\": 3956}", "seed": "3887804098813158290", "semantic_fingerprint": "sha256:e08ce3c5b05959ed8c9ff474dce15cb3d1a140e8c8661d3f2d5c37e649a822bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001589", "prompt": "Calculate: 8892 + (-6752) - (-2495) - (-4352 - (79895 - (-3194)))", "solution_steps": ["Add: 8892 + (-6752) = 2140", "Subtract: 2140 - (-2495) = 4635", "Subtract: 79895 - (-3194) = 83089", "Subtract: -4352 - 83089 = -87441", "Subtract: 4635 - (-87441) = 92076"], "final_answer": "92076", "answer_type": "integer", "kind": "expression", "math_text": "8892 + (-6752) - (-2495) - (-4352 - (79895 - (-3194)))", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8892, \"b\": -6752, \"c\": -2495, \"d\": -4352, \"e\": 79895, \"f\": -3194}", "seed": "15534041359119105927", "semantic_fingerprint": "sha256:4a382bb1d334209271c845ff4228ed8429feb91262455a871d49009680724dda", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001590", "prompt": "Calculate: -5788 * (-5877) / 5428 - (-4365 - 3287)", "solution_steps": ["Multiply: -5788 * (-5877) = 34016076", "Divide: 34016076 / 5428 = 8504019/1357", "Subtract: -4365 - 3287 = -7652", "Subtract: 8504019/1357 - (-7652) = 18887783/1357"], "final_answer": "18887783/1357", "answer_type": "rational", "kind": "expression", "math_text": "-5788 * (-5877) / 5428 - (-4365 - 3287)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5788, \"b\": -5877, \"c\": 5428, \"d\": -4365, \"e\": 3287}", "seed": "13332603493710170815", "semantic_fingerprint": "sha256:c117ff2d8a5053b3d188fba87779a4bb1a2b1861a4f43fb5c6e76d4abafbdf72", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001591", "prompt": "What value of x satisfies 21(x - 9197) = x?", "solution_steps": ["Expand: 21x - 193137 = x", "Subtract x from both sides: 20x - 193137 = 0", "Add 193137 to both sides: 20x = 193137", "Divide both sides by 20: x = 193137/20"], "final_answer": "193137/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 9197) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 9197}", "seed": "12055040752996742173", "semantic_fingerprint": "sha256:4dd5f82ec765e0f524e07f0a7919e35fa8a18eb48d675e286db194548eaefd33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001592", "prompt": "Solve the equation x + 43099 = 27(x + 27713) + 47892 for x.", "solution_steps": ["Expand: x + 43099 = 27x + 748251 + 47892", "Combine constants: x + 43099 = 27x + 796143", "Subtract 27x from both sides: -26x + 43099 = 796143", "Subtract 43099 from both sides: -26x = 753044", "Divide both sides by -26: x = -376522/13"], "final_answer": "-376522/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 43099 = 27(x + 27713) + 47892", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 43099, \"b\": 27, \"c\": 27713, \"d\": 47892}", "seed": "16478813387611023496", "semantic_fingerprint": "sha256:dac32db154ef790a4eda6affadd9d2167368a6dc4726acf7034530c3ec0192eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001593", "prompt": "Calculate: 51465 - (5476 / (-3850) + (-4332))", "solution_steps": ["Divide: 5476 / (-3850) = -2738/1925", "Add: -2738/1925 + (-4332) = -8341838/1925", "Subtract: 51465 - (-8341838/1925) = 107411963/1925"], "final_answer": "107411963/1925", "answer_type": "rational", "kind": "expression", "math_text": "51465 - (5476 / (-3850) + (-4332))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 51465, \"b\": 5476, \"c\": -3850, \"d\": -4332}", "seed": "596941810522388661", "semantic_fingerprint": "sha256:1fa0a15bd437e30781b17fb43a332e0a92623f143d1e71627ff7276da2ffdc70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001594", "prompt": "What is -47647 + 9826?", "solution_steps": ["Add: -47647 + 9826 = -37821"], "final_answer": "-37821", "answer_type": "integer", "kind": "expression", "math_text": "-47647 + 9826", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -47647, \"b\": 9826}", "seed": "5942440500323298789", "semantic_fingerprint": "sha256:2b1c794da5dd41c7b6a414b4c0bb1e178edacd31bdf0418dcb9e38a19eb6a136", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001595", "prompt": "What is -29493 - (-3105) * 22935?", "solution_steps": ["Multiply: -3105 * 22935 = -71213175", "Subtract: -29493 - (-71213175) = 71183682"], "final_answer": "71183682", "answer_type": "integer", "kind": "expression", "math_text": "-29493 - (-3105) * 22935", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29493, \"b\": -3105, \"c\": 22935}", "seed": "13419353192167084225", "semantic_fingerprint": "sha256:ca0c36c641147642fc46c9878ee483d19572616efa009ce737a2a5d98271c072", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001596", "prompt": "Solve the equation x = 28(x - 48227) + 2039 for x.", "solution_steps": ["Expand: x = 28x - 1350356 + 2039", "Combine constants: x = 28x - 1348317", "Subtract 28x from both sides: -27x = -1348317", "Divide both sides by -27: x = 149813/3"], "final_answer": "149813/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x - 48227) + 2039", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 48227, \"c\": 2039}", "seed": "5719909811427265679", "semantic_fingerprint": "sha256:40206fe910ffc28f5db6adfa9ccac902eaffa5d761fecc10bd5590cb746d4d06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001597", "prompt": "Calculate: -9791 - 4976 + (-7678) * 6613 * (-2933)", "solution_steps": ["Subtract: -9791 - 4976 = -14767", "Multiply: -7678 * 6613 = -50774614", "Multiply: -50774614 * (-2933) = 148921942862", "Add: -14767 + 148921942862 = 148921928095"], "final_answer": "148921928095", "answer_type": "integer", "kind": "expression", "math_text": "-9791 - 4976 + (-7678) * 6613 * (-2933)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9791, \"b\": 4976, \"c\": -7678, \"d\": 6613, \"e\": -2933}", "seed": "7416232706188072662", "semantic_fingerprint": "sha256:9ff2907fbe4635db1501240aaf86f49ce33ee111e5e7c8ad7620d154b423c381", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001598", "prompt": "Evaluate: (13237 - (-77087)) * (1778 + (-79733))", "solution_steps": ["Subtract: 13237 - (-77087) = 90324", "Add: 1778 + (-79733) = -77955", "Multiply: 90324 * (-77955) = -7041207420"], "final_answer": "-7041207420", "answer_type": "integer", "kind": "expression", "math_text": "(13237 - (-77087)) * (1778 + (-79733))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13237, \"b\": -77087, \"c\": 1778, \"d\": -79733}", "seed": "12455241720071521833", "semantic_fingerprint": "sha256:36d15cd6f24b1c95ed3a735275c8324828e0afc3bc9ce325e1cbce2f017179cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001599", "prompt": "Evaluate: 6233 * (8677 - 75272 - 6414)", "solution_steps": ["Subtract: 8677 - 75272 = -66595", "Subtract: -66595 - 6414 = -73009", "Multiply: 6233 * (-73009) = -455065097"], "final_answer": "-455065097", "answer_type": "integer", "kind": "expression", "math_text": "6233 * (8677 - 75272 - 6414)", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6233, \"b\": 8677, \"c\": 75272, \"d\": 6414}", "seed": "11384729155691024174", "semantic_fingerprint": "sha256:b2807d3c773cce217e5ac3205ada588053fee9c2f5ec6beded94ee12b4c68b23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001600", "prompt": "Find x: 31(x - 65441) - 3382 = 21x", "solution_steps": ["Expand: 31x - 2028671 - 3382 = 21x", "Combine constants: 31x - 2032053 = 21x", "Subtract 21x from both sides: 10x - 2032053 = 0", "Add 2032053 to both sides: 10x = 2032053", "Divide both sides by 10: x = 2032053/10"], "final_answer": "2032053/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 65441) - 3382 = 21x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 65441, \"c\": 3382, \"d\": 21}", "seed": "17245681665605061567", "semantic_fingerprint": "sha256:b9692162836978769c57a5f54e6a0af68d7650e0a954572f1b01351b34ab1e1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001601", "prompt": "What is -3054 * (-4503 * (-4448))?", "solution_steps": ["Multiply: -4503 * (-4448) = 20029344", "Multiply: -3054 * 20029344 = -61169616576"], "final_answer": "-61169616576", "answer_type": "integer", "kind": "expression", "math_text": "-3054 * (-4503 * (-4448))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3054, \"b\": -4503, \"c\": -4448}", "seed": "2428594555074144544", "semantic_fingerprint": "sha256:07c2c0409cf0b5bc536cbd2162376beca3df679d47fc07e5bb448c49f971c0df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001602", "prompt": "Solve the equation 21(x + 4446) + 23590 = 18(x + 4076) + 43051 for x.", "solution_steps": ["Expand: 21x + 93366 + 23590 = 18(x + 4076) + 43051", "Expand: 21x + 93366 + 23590 = 18x + 73368 + 43051", "Combine constants: 21x + 116956 = 18x + 73368 + 43051", "Combine constants: 21x + 116956 = 18x + 116419", "Subtract 18x from both sides: 3x + 116956 = 116419", "Subtract 116956 from both sides: 3x = -537", "Divide both sides by 3: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 4446) + 23590 = 18(x + 4076) + 43051", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4446, \"c\": 23590, \"d\": 18, \"e\": 4076, \"g\": 43051, \"x\": -179}", "seed": "4978204517843537506", "semantic_fingerprint": "sha256:2e34fb04adf55f6e5e64f4b2f99aa0a163727fd80654ed3e1c4b20c4af9a4848", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001603", "prompt": "Find x: -19(x - 9155) - 30301 = 20(x + 68508) + 20089", "solution_steps": ["Expand: -19x + 173945 - 30301 = 20(x + 68508) + 20089", "Expand: -19x + 173945 - 30301 = 20x + 1370160 + 20089", "Combine constants: -19x + 143644 = 20x + 1370160 + 20089", "Combine constants: -19x + 143644 = 20x + 1390249", "Subtract 20x from both sides: -39x + 143644 = 1390249", "Subtract 143644 from both sides: -39x = 1246605", "Divide both sides by -39: x = -415535/13"], "final_answer": "-415535/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 9155) - 30301 = 20(x + 68508) + 20089", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 9155, \"c\": 30301, \"d\": 20, \"e\": 68508, \"f\": 20089}", "seed": "17295771909224889740", "semantic_fingerprint": "sha256:1c32b9661dd7a1b3408c8c064c6aefd9584c4a18b737c608eedbc8d3c4d2db06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001604", "prompt": "What is -6133 * (-29754 + (-4998 + 74838))?", "solution_steps": ["Add: -4998 + 74838 = 69840", "Add: -29754 + 69840 = 40086", "Multiply: -6133 * 40086 = -245847438"], "final_answer": "-245847438", "answer_type": "integer", "kind": "expression", "math_text": "-6133 * (-29754 + (-4998 + 74838))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6133, \"b\": -29754, \"c\": -4998, \"d\": 74838}", "seed": "17667788748625534953", "semantic_fingerprint": "sha256:5fb37e974038aef3f3b93b46426cabcd8d34d010270d9fb954ea3570de82eeed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001605", "prompt": "What value of x satisfies -13x = -22x + 1782?", "solution_steps": ["Add 22x to both sides: 9x = 1782", "Divide both sides by 9: x = 198"], "final_answer": "198", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13x = -22x + 1782", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": -22, \"d\": 1782, \"x\": 198}", "seed": "5524100526584380359", "semantic_fingerprint": "sha256:c9d22710b0b1826a2ad086551172666a981199b3a6959b7465ff40915ae53d51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001606", "prompt": "Calculate: 48409 + (-61474) + (8801 + 3530) * 7275", "solution_steps": ["Add: 48409 + (-61474) = -13065", "Add: 8801 + 3530 = 12331", "Multiply: 12331 * 7275 = 89708025", "Add: -13065 + 89708025 = 89694960"], "final_answer": "89694960", "answer_type": "integer", "kind": "expression", "math_text": "48409 + (-61474) + (8801 + 3530) * 7275", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 48409, \"b\": -61474, \"c\": 8801, \"d\": 3530, \"e\": 7275}", "seed": "6032156059500089423", "semantic_fingerprint": "sha256:5f0f1fc95f8a281fea2e9a15e9087dfeef6a3f31818905a401cbe4761645620c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001607", "prompt": "Compute: 5434 * (-6934 / (9157 - 38695))", "solution_steps": ["Subtract: 9157 - 38695 = -29538", "Divide: -6934 / (-29538) = 3467/14769", "Multiply: 5434 * (3467/14769) = 18839678/14769"], "final_answer": "18839678/14769", "answer_type": "rational", "kind": "expression", "math_text": "5434 * (-6934 / (9157 - 38695))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5434, \"b\": -6934, \"c\": 9157, \"d\": 38695}", "seed": "6846277697218983711", "semantic_fingerprint": "sha256:492dad04e40c8c80883c158f24b5a2e13d6907f6a09c8b444b8c11776466ccfe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001608", "prompt": "Evaluate: 7774 * 6122 - (-10397 + 9655)", "solution_steps": ["Multiply: 7774 * 6122 = 47592428", "Add: -10397 + 9655 = -742", "Subtract: 47592428 - (-742) = 47593170"], "final_answer": "47593170", "answer_type": "integer", "kind": "expression", "math_text": "7774 * 6122 - (-10397 + 9655)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7774, \"b\": 6122, \"c\": -10397, \"d\": 9655}", "seed": "9284162659373234216", "semantic_fingerprint": "sha256:49ddabf8b322082135a458d478d7abf20816c433ec553a79e62e38178eb4dbf3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001609", "prompt": "Compute: 19021 - 93787", "solution_steps": ["Subtract: 19021 - 93787 = -74766"], "final_answer": "-74766", "answer_type": "integer", "kind": "expression", "math_text": "19021 - 93787", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 19021, \"b\": 93787}", "seed": "17075395075827073601", "semantic_fingerprint": "sha256:3ca5bb60dad82ad684d215c2cd25fce8ce5e06b519aa971863409056dfa29820", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001610", "prompt": "Evaluate: (-9656 - (-58735)) * (-6599)", "solution_steps": ["Subtract: -9656 - (-58735) = 49079", "Multiply: 49079 * (-6599) = -323872321"], "final_answer": "-323872321", "answer_type": "integer", "kind": "expression", "math_text": "(-9656 - (-58735)) * (-6599)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9656, \"b\": -58735, \"c\": -6599}", "seed": "1925457907667932609", "semantic_fingerprint": "sha256:e64b89176e23a4f63c3661c48d6c90e89ab945bf6423db6e9295a078b021dff1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001611", "prompt": "Find x: 16(x - 4606) = x", "solution_steps": ["Expand: 16x - 73696 = x", "Subtract x from both sides: 15x - 73696 = 0", "Add 73696 to both sides: 15x = 73696", "Divide both sides by 15: x = 73696/15"], "final_answer": "73696/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 4606) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 4606}", "seed": "11909916447581585593", "semantic_fingerprint": "sha256:954b9a825877c206e3990f88d4236548120700e3a95a72cfdb534447a3211fbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001612", "prompt": "Solve for x: -39x - 43749 = -50886", "solution_steps": ["Add 43749 to both sides: -39x = -7137", "Divide both sides by -39: x = 183"], "final_answer": "183", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x - 43749 = -50886", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 43749, \"d\": -50886, \"x\": 183}", "seed": "10362604873648854777", "semantic_fingerprint": "sha256:18d2b8810063d41121e979b6e8492504a29a34653b0959ee9273860d2b80d4c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001613", "prompt": "Evaluate: (5526 + (57770 + (9199 - (-57125)))) * (-52020 + (-5491))", "solution_steps": ["Subtract: 9199 - (-57125) = 66324", "Add: 57770 + 66324 = 124094", "Add: 5526 + 124094 = 129620", "Add: -52020 + (-5491) = -57511", "Multiply: 129620 * (-57511) = -7454575820"], "final_answer": "-7454575820", "answer_type": "integer", "kind": "expression", "math_text": "(5526 + (57770 + (9199 - (-57125)))) * (-52020 + (-5491))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n (- n n))) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5526, \"b\": 57770, \"c\": 9199, \"d\": -57125, \"e\": -52020, \"f\": -5491}", "seed": "6074435474494024274", "semantic_fingerprint": "sha256:66ff0f7dbfe877f201df0285a7e533f16c0f5a88e6e78f8d1155114f41c40d9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001614", "prompt": "Compute: -5212 / (-6913)", "solution_steps": ["Divide: -5212 / (-6913) = 5212/6913"], "final_answer": "5212/6913", "answer_type": "rational", "kind": "expression", "math_text": "-5212 / (-6913)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5212, \"b\": -6913}", "seed": "1550718129773640020", "semantic_fingerprint": "sha256:866182c210f9d7100e05fad2244485a536afda15a819dcf65c7bc326aa765d61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001615", "prompt": "What value of x satisfies 15x - 44257 = x - 45209?", "solution_steps": ["Subtract x from both sides: 14x - 44257 = -45209", "Add 44257 to both sides: 14x = -952", "Divide both sides by 14: x = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 44257 = x - 45209", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 44257, \"d\": -45209, \"x\": -68}", "seed": "16589565819478870617", "semantic_fingerprint": "sha256:407c6d687a7fc741ea1d513b2e62bd6a45e97e9f374967f77b17726e3e697bcd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001616", "prompt": "Compute: 13967 * 2020 * (-6213)", "solution_steps": ["Multiply: 13967 * 2020 = 28213340", "Multiply: 28213340 * (-6213) = -175289481420"], "final_answer": "-175289481420", "answer_type": "integer", "kind": "expression", "math_text": "13967 * 2020 * (-6213)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13967, \"b\": 2020, \"c\": -6213}", "seed": "2778791037217739187", "semantic_fingerprint": "sha256:3aafffe8ee11759d5770f0f5d626db751aa400e3ce210146a99b94f4c6def995", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001617", "prompt": "Find x: -33(x - 1246) = 15x", "solution_steps": ["Expand: -33x + 41118 = 15x", "Subtract 15x from both sides: -48x + 41118 = 0", "Subtract 41118 from both sides: -48x = -41118", "Divide both sides by -48: x = 6853/8"], "final_answer": "6853/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 1246) = 15x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 1246, \"c\": 15}", "seed": "8169452918407034904", "semantic_fingerprint": "sha256:6e3bcf166d631e3acedad54d339f76df92168fa563908e89325f6e1e1d5d5f01", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001618", "prompt": "What is -3811 / 77338?", "solution_steps": ["Divide: -3811 / 77338 = -3811/77338"], "final_answer": "-3811/77338", "answer_type": "rational", "kind": "expression", "math_text": "-3811 / 77338", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3811, \"b\": 77338}", "seed": "164642831461070243", "semantic_fingerprint": "sha256:abf5633a2e94f6737b9a14becd07895e274549a524c3bb7ad0d4e3307d415464", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001619", "prompt": "Solve the equation 23(x - 8353) = 27x for x.", "solution_steps": ["Expand: 23x - 192119 = 27x", "Subtract 27x from both sides: -4x - 192119 = 0", "Add 192119 to both sides: -4x = 192119", "Divide both sides by -4: x = -192119/4"], "final_answer": "-192119/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 8353) = 27x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 8353, \"c\": 27}", "seed": "3771609536575848095", "semantic_fingerprint": "sha256:9496c96610885a72e88a195c4fe1918b4e93583c5533b5430701b2f61da77afe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001620", "prompt": "What is -9407 + 1856?", "solution_steps": ["Add: -9407 + 1856 = -7551"], "final_answer": "-7551", "answer_type": "integer", "kind": "expression", "math_text": "-9407 + 1856", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9407, \"b\": 1856}", "seed": "25606048298549007", "semantic_fingerprint": "sha256:38276ea28386b3b743c7d8cd001a1fa164a6e7f4cb61b8e7c90be2e3a0865cf9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001621", "prompt": "Evaluate: -4908 / 50806", "solution_steps": ["Divide: -4908 / 50806 = -2454/25403"], "final_answer": "-2454/25403", "answer_type": "rational", "kind": "expression", "math_text": "-4908 / 50806", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4908, \"b\": 50806}", "seed": "357098983796697490", "semantic_fingerprint": "sha256:69f26a6ebec03719fd59cc5fe9d2e2be93cfb148296cbfaa298ef4f33c842053", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001622", "prompt": "Evaluate: (-6741 - (-4348 - (-4149))) / 4932", "solution_steps": ["Subtract: -4348 - (-4149) = -199", "Subtract: -6741 - (-199) = -6542", "Divide: -6542 / 4932 = -3271/2466"], "final_answer": "-3271/2466", "answer_type": "rational", "kind": "expression", "math_text": "(-6741 - (-4348 - (-4149))) / 4932", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6741, \"b\": -4348, \"c\": -4149, \"d\": 4932}", "seed": "13340694146850263559", "semantic_fingerprint": "sha256:c95a412296e6c0ff145f5f4a343e1a1b4f8e3680c5e19e41cad8176311f76d9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001623", "prompt": "Solve the equation 13(x - 1601) = 14(x - 30481) for x.", "solution_steps": ["Expand: 13x - 20813 = 14(x - 30481)", "Expand: 13x - 20813 = 14x - 426734", "Subtract 14x from both sides: -x - 20813 = -426734", "Add 20813 to both sides: -x = -405921", "Divide both sides by -1: x = 405921"], "final_answer": "405921", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x - 1601) = 14(x - 30481)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 1601, \"c\": 14, \"d\": 30481}", "seed": "8129337041813947598", "semantic_fingerprint": "sha256:64c1414c880d8a5d001b422b71a633fb17b04e52c22810cee4b2305c0ed2a20a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001624", "prompt": "What is -6616 - (8565 - (-62135)) - 2343 * (26335 / (-4068))?", "solution_steps": ["Subtract: 8565 - (-62135) = 70700", "Subtract: -6616 - 70700 = -77316", "Divide: 26335 / (-4068) = -26335/4068", "Multiply: 2343 * (-26335/4068) = -20567635/1356", "Subtract: -77316 - (-20567635/1356) = -84272861/1356"], "final_answer": "-84272861/1356", "answer_type": "rational", "kind": "expression", "math_text": "-6616 - (8565 - (-62135)) - 2343 * (26335 / (-4068))", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6616, \"b\": 8565, \"c\": -62135, \"d\": 2343, \"e\": 26335, \"f\": -4068}", "seed": "1256426530115470853", "semantic_fingerprint": "sha256:1bde0ab2f0de4c7f6657e4ca814e821a25b08c904973b14245ea76cd21e09bcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001625", "prompt": "Evaluate: 4131 / (-3564 + 7267) - (-1964 - (-81199))", "solution_steps": ["Add: -3564 + 7267 = 3703", "Divide: 4131 / 3703 = 4131/3703", "Subtract: -1964 - (-81199) = 79235", "Subtract: 4131/3703 - 79235 = -293403074/3703"], "final_answer": "-293403074/3703", "answer_type": "rational", "kind": "expression", "math_text": "4131 / (-3564 + 7267) - (-1964 - (-81199))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4131, \"b\": -3564, \"c\": 7267, \"d\": -1964, \"e\": -81199}", "seed": "896055102110550780", "semantic_fingerprint": "sha256:43964024d563d82e8b2e77b660c877c5bdc5ebc5f669f169c7a4ed1f62fff96d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001626", "prompt": "Find x: x - 9749 = -19x + 4456", "solution_steps": ["Add 19x to both sides: 20x - 9749 = 4456", "Add 9749 to both sides: 20x = 14205", "Divide both sides by 20: x = 2841/4"], "final_answer": "2841/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9749 = -19x + 4456", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9749, \"b\": -19, \"c\": 4456}", "seed": "5044185481698406366", "semantic_fingerprint": "sha256:e3795cb8040c4ffc1ad823d24fa3656e234c9729b2524d0811e9f246a76d3156", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001627", "prompt": "Compute: -41702 / (-97801 + 65874)", "solution_steps": ["Add: -97801 + 65874 = -31927", "Divide: -41702 / (-31927) = 41702/31927"], "final_answer": "41702/31927", "answer_type": "rational", "kind": "expression", "math_text": "-41702 / (-97801 + 65874)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41702, \"b\": -97801, \"c\": 65874}", "seed": "5499368862628246240", "semantic_fingerprint": "sha256:0ae3c88ff4d5aed441d6b05f6126335e9a18b96980ccd9dd909c7e726b025224", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001628", "prompt": "Evaluate: 6449 + (-64588) - (-26536)", "solution_steps": ["Add: 6449 + (-64588) = -58139", "Subtract: -58139 - (-26536) = -31603"], "final_answer": "-31603", "answer_type": "integer", "kind": "expression", "math_text": "6449 + (-64588) - (-26536)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6449, \"b\": -64588, \"c\": -26536}", "seed": "8385829615442438207", "semantic_fingerprint": "sha256:50b8620c9eed79ef5064cbb3ab3ffa7c1a931faea6efdca041420df2047608fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001629", "prompt": "Find x: 16x + 6608 = x + 5093", "solution_steps": ["Subtract x from both sides: 15x + 6608 = 5093", "Subtract 6608 from both sides: 15x = -1515", "Divide both sides by 15: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x + 6608 = x + 5093", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 6608, \"d\": 5093, \"x\": -101}", "seed": "10566951673322916339", "semantic_fingerprint": "sha256:94c122c96805e7eb25dfa7b24959eb10e9539e0b0b00a1404d90940c17016e81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001630", "prompt": "Solve the equation 18(x + 73128) = 8219 for x.", "solution_steps": ["Expand: 18x + 1316304 = 8219", "Subtract 1316304 from both sides: 18x = -1308085", "Divide both sides by 18: x = -1308085/18"], "final_answer": "-1308085/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 73128) = 8219", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 73128, \"c\": 8219}", "seed": "784762981993564663", "semantic_fingerprint": "sha256:a39e4120581c9c0c615239222e2e3328f4cf76d6b5cf8e47aaf9b23434f2a4e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001631", "prompt": "Calculate: -3459 * 99645", "solution_steps": ["Multiply: -3459 * 99645 = -344672055"], "final_answer": "-344672055", "answer_type": "integer", "kind": "expression", "math_text": "-3459 * 99645", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3459, \"b\": 99645}", "seed": "5632286949767234218", "semantic_fingerprint": "sha256:b8ffc366f599afab5ff916231d89e8d69983347db9037f4d13fb646d874655ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001632", "prompt": "Evaluate: 98670 - 20192 + 9949", "solution_steps": ["Subtract: 98670 - 20192 = 78478", "Add: 78478 + 9949 = 88427"], "final_answer": "88427", "answer_type": "integer", "kind": "expression", "math_text": "98670 - 20192 + 9949", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98670, \"b\": 20192, \"c\": 9949}", "seed": "15664542593137093112", "semantic_fingerprint": "sha256:ee25584b69c95ccee99f664319bd07574c951a2f893579c6b66b88dac1f0f8db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001633", "prompt": "Calculate: 72086 + (18514 + 57572)", "solution_steps": ["Add: 18514 + 57572 = 76086", "Add: 72086 + 76086 = 148172"], "final_answer": "148172", "answer_type": "integer", "kind": "expression", "math_text": "72086 + (18514 + 57572)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72086, \"b\": 18514, \"c\": 57572}", "seed": "5715720430648390948", "semantic_fingerprint": "sha256:ddb42cc32a920fd3e5dbce59669d5deaaec135a0cb3f9e450713bda9ec08c6b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001634", "prompt": "Compute: 4049 + (-43182)", "solution_steps": ["Add: 4049 + (-43182) = -39133"], "final_answer": "-39133", "answer_type": "integer", "kind": "expression", "math_text": "4049 + (-43182)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4049, \"b\": -43182}", "seed": "17473614016453763739", "semantic_fingerprint": "sha256:7dec9207cd19adcf6e1d9c33ec874f9ae37402dd9ca0c48a92e02f5accce3877", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001635", "prompt": "Evaluate: -95156 - 7475 - (-77060 - (-9226))", "solution_steps": ["Subtract: -95156 - 7475 = -102631", "Subtract: -77060 - (-9226) = -67834", "Subtract: -102631 - (-67834) = -34797"], "final_answer": "-34797", "answer_type": "integer", "kind": "expression", "math_text": "-95156 - 7475 - (-77060 - (-9226))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -95156, \"b\": 7475, \"c\": -77060, \"d\": -9226}", "seed": "5206281784928139586", "semantic_fingerprint": "sha256:bd5897260330c4456dd63bd6d6058e776f4e5d03600ae41fe0f4238041dc5297", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001636", "prompt": "Solve for x: 22(x - 28869) = 15(x - 3056) + 3028", "solution_steps": ["Expand: 22x - 635118 = 15(x - 3056) + 3028", "Expand: 22x - 635118 = 15x - 45840 + 3028", "Combine constants: 22x - 635118 = 15x - 42812", "Subtract 15x from both sides: 7x - 635118 = -42812", "Add 635118 to both sides: 7x = 592306", "Divide both sides by 7: x = 592306/7"], "final_answer": "592306/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 28869) = 15(x - 3056) + 3028", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 28869, \"c\": 15, \"d\": 3056, \"e\": 3028}", "seed": "10538810789695530005", "semantic_fingerprint": "sha256:3c6e9600487523d83e1c2a34b15b8c2012d4d911686d3642c3d7db4216eb89d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001637", "prompt": "What is 1351 / 77851 * (-3900 - 3186)?", "solution_steps": ["Divide: 1351 / 77851 = 1351/77851", "Subtract: -3900 - 3186 = -7086", "Multiply: (1351/77851) * (-7086) = -9573186/77851"], "final_answer": "-9573186/77851", "answer_type": "rational", "kind": "expression", "math_text": "1351 / 77851 * (-3900 - 3186)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1351, \"b\": 77851, \"c\": -3900, \"d\": 3186}", "seed": "13316030396018797987", "semantic_fingerprint": "sha256:fc1b646af506d58db2c74bcf397a95e1abb0946a234efee0c3a483992c97b703", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001638", "prompt": "Compute: 6733 + (-8874 * 6647 + (-7019))", "solution_steps": ["Multiply: -8874 * 6647 = -58985478", "Add: -58985478 + (-7019) = -58992497", "Add: 6733 + (-58992497) = -58985764"], "final_answer": "-58985764", "answer_type": "integer", "kind": "expression", "math_text": "6733 + (-8874 * 6647 + (-7019))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6733, \"b\": -8874, \"c\": 6647, \"d\": -7019}", "seed": "7391883708295811588", "semantic_fingerprint": "sha256:71aff58dd8ad8741350d81b0100654972b9d04068d14c14bd8d1e281e7c3aba9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001639", "prompt": "What value of x satisfies 21(x + 40366) = -17(x - 77310)?", "solution_steps": ["Expand: 21x + 847686 = -17(x - 77310)", "Expand: 21x + 847686 = -17x + 1314270", "Add 17x to both sides: 38x + 847686 = 1314270", "Subtract 847686 from both sides: 38x = 466584", "Divide both sides by 38: x = 233292/19"], "final_answer": "233292/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 40366) = -17(x - 77310)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 40366, \"c\": -17, \"d\": 77310}", "seed": "16496269765610409482", "semantic_fingerprint": "sha256:c600053516056583e8c71e3015b8bfce7b342e4be2297d4debd26eb1ee8018d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001640", "prompt": "What is -68442 / 9422?", "solution_steps": ["Divide: -68442 / 9422 = -34221/4711"], "final_answer": "-34221/4711", "answer_type": "rational", "kind": "expression", "math_text": "-68442 / 9422", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -68442, \"b\": 9422}", "seed": "6784253530268289119", "semantic_fingerprint": "sha256:e0662225b34d05db4a9ab58ac876180c9eda5a83b995abab1ba8c06818db2abe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001641", "prompt": "Solve the equation 25(x - 5398) + 42304 = x - 90654 for x.", "solution_steps": ["Expand: 25x - 134950 + 42304 = x - 90654", "Combine constants: 25x - 92646 = x - 90654", "Subtract x from both sides: 24x - 92646 = -90654", "Add 92646 to both sides: 24x = 1992", "Divide both sides by 24: x = 83"], "final_answer": "83", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 5398) + 42304 = x - 90654", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 5398, \"c\": 42304, \"e\": -90654, \"x\": 83}", "seed": "6633251405094530257", "semantic_fingerprint": "sha256:8303414bd0130e74c8fa96a7c9444631b4e3084bd412c80cfe8c5ab09d3671c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001642", "prompt": "Compute: 5118 * (-51457) - (-76139)", "solution_steps": ["Multiply: 5118 * (-51457) = -263356926", "Subtract: -263356926 - (-76139) = -263280787"], "final_answer": "-263280787", "answer_type": "integer", "kind": "expression", "math_text": "5118 * (-51457) - (-76139)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5118, \"b\": -51457, \"c\": -76139}", "seed": "4024537389799547594", "semantic_fingerprint": "sha256:e97d574d48b642227c119c26a9c67827abbb88dc524b3c87baa633390e75b61a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001643", "prompt": "What value of x satisfies 15(x + 1075) + 5671 = 37(x + 40658) + 4880?", "solution_steps": ["Expand: 15x + 16125 + 5671 = 37(x + 40658) + 4880", "Expand: 15x + 16125 + 5671 = 37x + 1504346 + 4880", "Combine constants: 15x + 21796 = 37x + 1504346 + 4880", "Combine constants: 15x + 21796 = 37x + 1509226", "Subtract 37x from both sides: -22x + 21796 = 1509226", "Subtract 21796 from both sides: -22x = 1487430", "Divide both sides by -22: x = -743715/11"], "final_answer": "-743715/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 1075) + 5671 = 37(x + 40658) + 4880", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 1075, \"c\": 5671, \"d\": 37, \"e\": 40658, \"f\": 4880}", "seed": "13541605073102574514", "semantic_fingerprint": "sha256:c521ffeb8c4be06504ebd4d921cd33aa884038177289c9ab0aff53f0f7bb6527", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001644", "prompt": "Evaluate: 1054 * (-5636 * (-93646))", "solution_steps": ["Multiply: -5636 * (-93646) = 527788856", "Multiply: 1054 * 527788856 = 556289454224"], "final_answer": "556289454224", "answer_type": "integer", "kind": "expression", "math_text": "1054 * (-5636 * (-93646))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1054, \"b\": -5636, \"c\": -93646}", "seed": "8750860679847471236", "semantic_fingerprint": "sha256:bac6e3205dc4415192da33151bcf9b3f87984a5699abe97c713a7e542fd18623", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001645", "prompt": "Compute: -9981 - (13647 - 2673)", "solution_steps": ["Subtract: 13647 - 2673 = 10974", "Subtract: -9981 - 10974 = -20955"], "final_answer": "-20955", "answer_type": "integer", "kind": "expression", "math_text": "-9981 - (13647 - 2673)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9981, \"b\": 13647, \"c\": 2673}", "seed": "3728440135148103403", "semantic_fingerprint": "sha256:8761a48d05d901b46fe8152182ffb5b9c29ea3ee2c1cabf7c64eecb5744bad4c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001646", "prompt": "Compute: 20000 + (-41919 + (-6114)) * (-7200)", "solution_steps": ["Add: -41919 + (-6114) = -48033", "Multiply: -48033 * (-7200) = 345837600", "Add: 20000 + 345837600 = 345857600"], "final_answer": "345857600", "answer_type": "integer", "kind": "expression", "math_text": "20000 + (-41919 + (-6114)) * (-7200)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20000, \"b\": -41919, \"c\": -6114, \"d\": -7200}", "seed": "16073752961208735344", "semantic_fingerprint": "sha256:b5d61306dd83daa13e2427d9a780c320a4bd1675edc933aaf0901236c100faf3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001647", "prompt": "Find x: 15x = x - 6217", "solution_steps": ["Subtract x from both sides: 14x = -6217", "Divide both sides by 14: x = -6217/14"], "final_answer": "-6217/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = x - 6217", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 6217}", "seed": "9514596259434130973", "semantic_fingerprint": "sha256:fc005cc6f6b3bfdb4633a145375678d5cb4b2a05a6b7cb4711abab5807b4db55", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001648", "prompt": "Find x: 27(x - 2910) = 17x", "solution_steps": ["Expand: 27x - 78570 = 17x", "Subtract 17x from both sides: 10x - 78570 = 0", "Add 78570 to both sides: 10x = 78570", "Divide both sides by 10: x = 7857"], "final_answer": "7857", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x - 2910) = 17x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 2910, \"c\": 17}", "seed": "7965898123902860815", "semantic_fingerprint": "sha256:2a2bf1a5131d4c438a294038fa2790c74389b702509c1478c112a3cdaa00c456", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001649", "prompt": "Find x: 40(x - 6180) - 32587 = 17x", "solution_steps": ["Expand: 40x - 247200 - 32587 = 17x", "Combine constants: 40x - 279787 = 17x", "Subtract 17x from both sides: 23x - 279787 = 0", "Add 279787 to both sides: 23x = 279787", "Divide both sides by 23: x = 279787/23"], "final_answer": "279787/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 6180) - 32587 = 17x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 6180, \"c\": 32587, \"d\": 17}", "seed": "13612629612444652644", "semantic_fingerprint": "sha256:dff8ad18211bf7d05d0b9868f3e4ea97d675190470e5568b93096abf5796e57f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001650", "prompt": "Find x: 40x + 52085 = 17(x - 68421) - 6871", "solution_steps": ["Expand: 40x + 52085 = 17x - 1163157 - 6871", "Combine constants: 40x + 52085 = 17x - 1170028", "Subtract 17x from both sides: 23x + 52085 = -1170028", "Subtract 52085 from both sides: 23x = -1222113", "Divide both sides by 23: x = -1222113/23"], "final_answer": "-1222113/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x + 52085 = 17(x - 68421) - 6871", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 52085, \"c\": 17, \"d\": 68421, \"e\": 6871}", "seed": "2996129718789642073", "semantic_fingerprint": "sha256:b1b8090ae0fd90795caeba42d4c9d95206a3ee5dfdb1f4b25fbbb4361fad26ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001651", "prompt": "Calculate: -1383 * (1863 / 6874)", "solution_steps": ["Divide: 1863 / 6874 = 1863/6874", "Multiply: -1383 * (1863/6874) = -2576529/6874"], "final_answer": "-2576529/6874", "answer_type": "rational", "kind": "expression", "math_text": "-1383 * (1863 / 6874)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1383, \"b\": 1863, \"c\": 6874}", "seed": "7118367251213760539", "semantic_fingerprint": "sha256:6a02d1162911510045fa3b2efd01e07fb1231f9c23778079ae3f9118b9fb0d24", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001652", "prompt": "What value of x satisfies -19x + 9589 = -39x + 11249?", "solution_steps": ["Add 39x to both sides: 20x + 9589 = 11249", "Subtract 9589 from both sides: 20x = 1660", "Divide both sides by 20: x = 83"], "final_answer": "83", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x + 9589 = -39x + 11249", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 9589, \"c\": -39, \"e\": 11249, \"x\": 83}", "seed": "16493284085132002918", "semantic_fingerprint": "sha256:8af9ba2533d563dd3839ba752b6dc01de4c2e1a00c4c35aabadc8de8bf4850ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001653", "prompt": "Solve the equation -30(x + 3394) - 92341 = -33(x + 1734) - 5471 for x.", "solution_steps": ["Expand: -30x - 101820 - 92341 = -33(x + 1734) - 5471", "Expand: -30x - 101820 - 92341 = -33x - 57222 - 5471", "Combine constants: -30x - 194161 = -33x - 57222 - 5471", "Combine constants: -30x - 194161 = -33x - 62693", "Add 33x to both sides: 3x - 194161 = -62693", "Add 194161 to both sides: 3x = 131468", "Divide both sides by 3: x = 131468/3"], "final_answer": "131468/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x + 3394) - 92341 = -33(x + 1734) - 5471", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 3394, \"c\": 92341, \"d\": -33, \"e\": 1734, \"f\": 5471}", "seed": "7421234156767004700", "semantic_fingerprint": "sha256:b2941d77772d78d131bd101829acd2b312600a7cd76ad0fef8ba752dfb1c3333", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001654", "prompt": "Compute: -79266 - (-2459) + 44222", "solution_steps": ["Subtract: -79266 - (-2459) = -76807", "Add: -76807 + 44222 = -32585"], "final_answer": "-32585", "answer_type": "integer", "kind": "expression", "math_text": "-79266 - (-2459) + 44222", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79266, \"b\": -2459, \"c\": 44222}", "seed": "11367151369151574316", "semantic_fingerprint": "sha256:a4fb9998f18fe75c8d9be0068af3b3031a5a573c1440065a9828f3ea828eb29d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001655", "prompt": "Evaluate: -4905 - (-6547) + (-6967 - (7757 - 1684))", "solution_steps": ["Subtract: -4905 - (-6547) = 1642", "Subtract: 7757 - 1684 = 6073", "Subtract: -6967 - 6073 = -13040", "Add: 1642 + (-13040) = -11398"], "final_answer": "-11398", "answer_type": "integer", "kind": "expression", "math_text": "-4905 - (-6547) + (-6967 - (7757 - 1684))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4905, \"b\": -6547, \"c\": -6967, \"d\": 7757, \"e\": 1684}", "seed": "6000131757093057718", "semantic_fingerprint": "sha256:deb05ecd54ca5fd557ad1765c770eceb7fab472b597bd533847fa27a138e2d9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001656", "prompt": "Evaluate: -6947 * 55334 + (-4741) / (-1739) + 7543", "solution_steps": ["Multiply: -6947 * 55334 = -384405298", "Divide: -4741 / (-1739) = 4741/1739", "Add: -384405298 + 4741/1739 = -668480808481/1739", "Add: -668480808481/1739 + 7543 = -668467691204/1739"], "final_answer": "-668467691204/1739", "answer_type": "rational", "kind": "expression", "math_text": "-6947 * 55334 + (-4741) / (-1739) + 7543", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6947, \"b\": 55334, \"c\": -4741, \"d\": -1739, \"e\": 7543}", "seed": "7546524344132000809", "semantic_fingerprint": "sha256:3ac11e0277ee470723682740e2e0ddbd5b877fee8af0880f88cb73b3d3ffd575", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001657", "prompt": "Evaluate: 4549 / (-4483) - (7177 - 73079)", "solution_steps": ["Divide: 4549 / (-4483) = -4549/4483", "Subtract: 7177 - 73079 = -65902", "Subtract: -4549/4483 - (-65902) = 295434117/4483"], "final_answer": "295434117/4483", "answer_type": "rational", "kind": "expression", "math_text": "4549 / (-4483) - (7177 - 73079)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4549, \"b\": -4483, \"c\": 7177, \"d\": 73079}", "seed": "16501814041991354708", "semantic_fingerprint": "sha256:3ff59786fba0266f4b7d396ffa6d0bfe270b221f98cc1cfbb0246e6906fe74a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001658", "prompt": "Calculate: 1710 - (-6823 + 4253) * (-7342)", "solution_steps": ["Add: -6823 + 4253 = -2570", "Multiply: -2570 * (-7342) = 18868940", "Subtract: 1710 - 18868940 = -18867230"], "final_answer": "-18867230", "answer_type": "integer", "kind": "expression", "math_text": "1710 - (-6823 + 4253) * (-7342)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1710, \"b\": -6823, \"c\": 4253, \"d\": -7342}", "seed": "5204364242936910644", "semantic_fingerprint": "sha256:6aad9e651af475486d66bc73034b737b4ae4c1e7673d4c65ef950b0b4eb45239", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001659", "prompt": "Compute: 88276 / 1188 - (-30793)", "solution_steps": ["Divide: 88276 / 1188 = 22069/297", "Subtract: 22069/297 - (-30793) = 9167590/297"], "final_answer": "9167590/297", "answer_type": "rational", "kind": "expression", "math_text": "88276 / 1188 - (-30793)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88276, \"b\": 1188, \"c\": -30793}", "seed": "14911481234698038935", "semantic_fingerprint": "sha256:80b3dba3ed257de72d40f08779b181c902747616257b9b1f22e2da9b1efa9f17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001660", "prompt": "Calculate: 78312 * 12567", "solution_steps": ["Multiply: 78312 * 12567 = 984146904"], "final_answer": "984146904", "answer_type": "integer", "kind": "expression", "math_text": "78312 * 12567", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 78312, \"b\": 12567}", "seed": "14374866145502297603", "semantic_fingerprint": "sha256:ce3327cc7291b3965dc702f8003b3b9b34eb3e5baaa7d2ab35dd7044d49d0f20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001661", "prompt": "Find x: -22x - 23726 = x - 26256", "solution_steps": ["Subtract x from both sides: -23x - 23726 = -26256", "Add 23726 to both sides: -23x = -2530", "Divide both sides by -23: x = 110"], "final_answer": "110", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x - 23726 = x - 26256", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 23726, \"d\": -26256, \"x\": 110}", "seed": "7953828149329271903", "semantic_fingerprint": "sha256:42209a3c8bfcdd5ed1d7e85392b0d75750f3e6b17ba36dee58d4b59604d7eec2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001662", "prompt": "Calculate: 5811 * (5327 + 89530)", "solution_steps": ["Add: 5327 + 89530 = 94857", "Multiply: 5811 * 94857 = 551214027"], "final_answer": "551214027", "answer_type": "integer", "kind": "expression", "math_text": "5811 * (5327 + 89530)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5811, \"b\": 5327, \"c\": 89530}", "seed": "7267582746912611634", "semantic_fingerprint": "sha256:582034939d5339cd2fc4b4c3dc554acc8ac51d32332e2dd37f52b03281ef69fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001663", "prompt": "Compute: 9101 * (-4406) - (-9555)", "solution_steps": ["Multiply: 9101 * (-4406) = -40099006", "Subtract: -40099006 - (-9555) = -40089451"], "final_answer": "-40089451", "answer_type": "integer", "kind": "expression", "math_text": "9101 * (-4406) - (-9555)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9101, \"b\": -4406, \"c\": -9555}", "seed": "14241364765674079791", "semantic_fingerprint": "sha256:47cf860a7521bb508ecff7034933ab70153b53106080eb5ebc8c1993f7bee6e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001664", "prompt": "Evaluate: 2043 * 3823", "solution_steps": ["Multiply: 2043 * 3823 = 7810389"], "final_answer": "7810389", "answer_type": "integer", "kind": "expression", "math_text": "2043 * 3823", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2043, \"b\": 3823}", "seed": "2436652149074373479", "semantic_fingerprint": "sha256:5a15ffa1a263f3dee08153ed238b6ee52d4691bd8a2b262f0c097ae6e0de0f1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001665", "prompt": "What value of x satisfies 17(x - 1205) + 53938 = 32093?", "solution_steps": ["Expand: 17x - 20485 + 53938 = 32093", "Combine constants: 17x + 33453 = 32093", "Subtract 33453 from both sides: 17x = -1360", "Divide both sides by 17: x = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 1205) + 53938 = 32093", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 1205, \"c\": 53938, \"e\": 32093, \"x\": -80}", "seed": "17103635912240417826", "semantic_fingerprint": "sha256:ef4a59a10060f05bfe79b0c9b45d6f006c8f568250def1258f4c77d2885bf140", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001666", "prompt": "Calculate: 8412 + (-4800) - (-1091)", "solution_steps": ["Add: 8412 + (-4800) = 3612", "Subtract: 3612 - (-1091) = 4703"], "final_answer": "4703", "answer_type": "integer", "kind": "expression", "math_text": "8412 + (-4800) - (-1091)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8412, \"b\": -4800, \"c\": -1091}", "seed": "4857524009406072867", "semantic_fingerprint": "sha256:e9e1130a537842a22db77d6e78c7f84f96de5e29ee2260b2d5ce1651dac4c315", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001667", "prompt": "What value of x satisfies 30(x + 16881) = x?", "solution_steps": ["Expand: 30x + 506430 = x", "Subtract x from both sides: 29x + 506430 = 0", "Subtract 506430 from both sides: 29x = -506430", "Divide both sides by 29: x = -506430/29"], "final_answer": "-506430/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 16881) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 16881}", "seed": "3717839608243556473", "semantic_fingerprint": "sha256:7cdb99164098b4364212c2978dcca8169ee81156000d36c3d204bdea6548a3d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001668", "prompt": "Evaluate: 86840 * (-6878 * (6013 / (-2804)))", "solution_steps": ["Divide: 6013 / (-2804) = -6013/2804", "Multiply: -6878 * (-6013/2804) = 20678707/1402", "Multiply: 86840 * (20678707/1402) = 897869457940/701"], "final_answer": "897869457940/701", "answer_type": "rational", "kind": "expression", "math_text": "86840 * (-6878 * (6013 / (-2804)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86840, \"b\": -6878, \"c\": 6013, \"d\": -2804}", "seed": "12862603640542433432", "semantic_fingerprint": "sha256:f653d45b108f4b133dc21a1aa9dec3144c0dfb0157c930370a998244bc03adcb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001669", "prompt": "Solve for x: x - 34576 = 34(x + 90625)", "solution_steps": ["Expand: x - 34576 = 34x + 3081250", "Subtract 34x from both sides: -33x - 34576 = 3081250", "Add 34576 to both sides: -33x = 3115826", "Divide both sides by -33: x = -3115826/33"], "final_answer": "-3115826/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 34576 = 34(x + 90625)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34576, \"b\": 34, \"c\": 90625}", "seed": "17556239137697802214", "semantic_fingerprint": "sha256:0ee5abf66c30774b50386d41ee12d36153fa4329d3ea2c07291c9cebf12563b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001670", "prompt": "What is -8102 / (-6693 / 5826)?", "solution_steps": ["Divide: -6693 / 5826 = -2231/1942", "Divide: -8102 / (-2231/1942) = 15734084/2231"], "final_answer": "15734084/2231", "answer_type": "rational", "kind": "expression", "math_text": "-8102 / (-6693 / 5826)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8102, \"b\": -6693, \"c\": 5826}", "seed": "17405644120877140745", "semantic_fingerprint": "sha256:0a94cc409e6373cba6123a646e8e5abbc4041852ea160d0b125dd3487e5e2451", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001671", "prompt": "Calculate: -8553 + 52488", "solution_steps": ["Add: -8553 + 52488 = 43935"], "final_answer": "43935", "answer_type": "integer", "kind": "expression", "math_text": "-8553 + 52488", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8553, \"b\": 52488}", "seed": "17347122691636311162", "semantic_fingerprint": "sha256:31b296d4cd15812dfce870efcb04d1b565b81f49e6445a9152e215c03923cbc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001672", "prompt": "What is 20678 * (-1355 * (-49407) / 6704)?", "solution_steps": ["Multiply: -1355 * (-49407) = 66946485", "Divide: 66946485 / 6704 = 66946485/6704", "Multiply: 20678 * (66946485/6704) = 692159708415/3352"], "final_answer": "692159708415/3352", "answer_type": "rational", "kind": "expression", "math_text": "20678 * (-1355 * (-49407) / 6704)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20678, \"b\": -1355, \"c\": -49407, \"d\": 6704}", "seed": "16234750023556557395", "semantic_fingerprint": "sha256:df2653f353f69f03ffa22f21bed8d79c4e1ae10cf8a26abf1c46c4a89cb1e7de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001673", "prompt": "Compute: (3895 - 85594) / 42684", "solution_steps": ["Subtract: 3895 - 85594 = -81699", "Divide: -81699 / 42684 = -27233/14228"], "final_answer": "-27233/14228", "answer_type": "rational", "kind": "expression", "math_text": "(3895 - 85594) / 42684", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3895, \"b\": 85594, \"c\": 42684}", "seed": "11917423349300467112", "semantic_fingerprint": "sha256:0c5c175fc3e28ab4c9aeb544154ff5f8fd7439c0e7902516fe3345b927b72051", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001674", "prompt": "Evaluate: 48676 - (-8202)", "solution_steps": ["Subtract: 48676 - (-8202) = 56878"], "final_answer": "56878", "answer_type": "integer", "kind": "expression", "math_text": "48676 - (-8202)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 48676, \"b\": -8202}", "seed": "18002971402624242877", "semantic_fingerprint": "sha256:e77f76e31f789d45488a50dd2a0590dd77d71eb9078bd3ee00efb305a527653c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001675", "prompt": "Solve for x: 38x = 30(x + 9298)", "solution_steps": ["Expand: 38x = 30x + 278940", "Subtract 30x from both sides: 8x = 278940", "Divide both sides by 8: x = 69735/2"], "final_answer": "69735/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x = 30(x + 9298)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 30, \"c\": 9298}", "seed": "9868245333108524285", "semantic_fingerprint": "sha256:97d6d016446d83256ecf8d2e4704fd45aebaf22057229038cd941b4db17832a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001676", "prompt": "What is (-3650 + 2089 * 6689) / 16742?", "solution_steps": ["Multiply: 2089 * 6689 = 13973321", "Add: -3650 + 13973321 = 13969671", "Divide: 13969671 / 16742 = 13969671/16742"], "final_answer": "13969671/16742", "answer_type": "rational", "kind": "expression", "math_text": "(-3650 + 2089 * 6689) / 16742", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3650, \"b\": 2089, \"c\": 6689, \"d\": 16742}", "seed": "3478365040433933623", "semantic_fingerprint": "sha256:0475de8773ee2e19de7f4143a3f42852b11b00feee98f8f2aae460f46c690159", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001677", "prompt": "Compute: 6611 + 35197 - (5395 - 2007)", "solution_steps": ["Add: 6611 + 35197 = 41808", "Subtract: 5395 - 2007 = 3388", "Subtract: 41808 - 3388 = 38420"], "final_answer": "38420", "answer_type": "integer", "kind": "expression", "math_text": "6611 + 35197 - (5395 - 2007)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6611, \"b\": 35197, \"c\": 5395, \"d\": 2007}", "seed": "7078461450251953748", "semantic_fingerprint": "sha256:3310256da65f3554e8c6002f4b17730983db8be7abf3a5de1bd80facc1700063", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001678", "prompt": "What value of x satisfies -16(x + 8264) = x + 8766?", "solution_steps": ["Expand: -16x - 132224 = x + 8766", "Subtract x from both sides: -17x - 132224 = 8766", "Add 132224 to both sides: -17x = 140990", "Divide both sides by -17: x = -140990/17"], "final_answer": "-140990/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 8264) = x + 8766", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 8264, \"c\": 8766}", "seed": "13798816603095451102", "semantic_fingerprint": "sha256:e43f474a9dd58951bd7002d0bcb8db2514de5ed942026d8650d26391689f1e8f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001679", "prompt": "Evaluate: -9187 * 1973 + 21090", "solution_steps": ["Multiply: -9187 * 1973 = -18125951", "Add: -18125951 + 21090 = -18104861"], "final_answer": "-18104861", "answer_type": "integer", "kind": "expression", "math_text": "-9187 * 1973 + 21090", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9187, \"b\": 1973, \"c\": 21090}", "seed": "5973846272454655227", "semantic_fingerprint": "sha256:35b192740bf2c11528ea42f2c906ba4672b53ae3dfd77b4990591222ea123aa1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001680", "prompt": "Calculate: 4744 + (41646 - 92760 * (-1116))", "solution_steps": ["Multiply: 92760 * (-1116) = -103520160", "Subtract: 41646 - (-103520160) = 103561806", "Add: 4744 + 103561806 = 103566550"], "final_answer": "103566550", "answer_type": "integer", "kind": "expression", "math_text": "4744 + (41646 - 92760 * (-1116))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4744, \"b\": 41646, \"c\": 92760, \"d\": -1116}", "seed": "10012693849465336082", "semantic_fingerprint": "sha256:e6c54aee695ea3ab20cf3bb0bc31f8c5097ebea62abce8043bceddcd95162299", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001681", "prompt": "What is 9333 + 2907?", "solution_steps": ["Add: 9333 + 2907 = 12240"], "final_answer": "12240", "answer_type": "integer", "kind": "expression", "math_text": "9333 + 2907", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9333, \"b\": 2907}", "seed": "17903681686720012967", "semantic_fingerprint": "sha256:52cb723cb22b400d94b501f80b267b4310a36c95353f6625780f60ead0092058", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001682", "prompt": "Evaluate: -58332 / 7685 + 30651", "solution_steps": ["Divide: -58332 / 7685 = -58332/7685", "Add: -58332/7685 + 30651 = 235494603/7685"], "final_answer": "235494603/7685", "answer_type": "rational", "kind": "expression", "math_text": "-58332 / 7685 + 30651", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -58332, \"b\": 7685, \"c\": 30651}", "seed": "4234189194031154050", "semantic_fingerprint": "sha256:f636be63fe30f78ee683e6a960891869eacbf2f07152d7bde8b964e11eb965b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001683", "prompt": "What is -4575 + (-43261)?", "solution_steps": ["Add: -4575 + (-43261) = -47836"], "final_answer": "-47836", "answer_type": "integer", "kind": "expression", "math_text": "-4575 + (-43261)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4575, \"b\": -43261}", "seed": "17383904428672760780", "semantic_fingerprint": "sha256:9d259b82f6d62a2f86d10f099714dee05241152e80ac14a6d99d4b847c1d0e86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001684", "prompt": "What is (-6968 - (2306 - (-12743))) * 6293?", "solution_steps": ["Subtract: 2306 - (-12743) = 15049", "Subtract: -6968 - 15049 = -22017", "Multiply: -22017 * 6293 = -138552981"], "final_answer": "-138552981", "answer_type": "integer", "kind": "expression", "math_text": "(-6968 - (2306 - (-12743))) * 6293", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6968, \"b\": 2306, \"c\": -12743, \"d\": 6293}", "seed": "10207646680619204590", "semantic_fingerprint": "sha256:c74989fcb956750b3e1a9d44e70455f1f321717d7d4e5c3cdccb0a6f5aa57133", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001685", "prompt": "What is 7051 * 1717?", "solution_steps": ["Multiply: 7051 * 1717 = 12106567"], "final_answer": "12106567", "answer_type": "integer", "kind": "expression", "math_text": "7051 * 1717", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7051, \"b\": 1717}", "seed": "8350227766741677416", "semantic_fingerprint": "sha256:9797d149201f79b42fb9bb0794d9df9bd1e26898a303faf6e0a1ed5a2b78912e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001686", "prompt": "Solve the equation -19x + 64210 = 13(x - 2397) + 5724 for x.", "solution_steps": ["Expand: -19x + 64210 = 13x - 31161 + 5724", "Combine constants: -19x + 64210 = 13x - 25437", "Subtract 13x from both sides: -32x + 64210 = -25437", "Subtract 64210 from both sides: -32x = -89647", "Divide both sides by -32: x = 89647/32"], "final_answer": "89647/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x + 64210 = 13(x - 2397) + 5724", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 64210, \"c\": 13, \"d\": 2397, \"e\": 5724}", "seed": "17502352237843091128", "semantic_fingerprint": "sha256:3eb2b47411cc15de7c94c9243036070bf100c784d00095accf4c25889bc16bc0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001687", "prompt": "What is 6057 * (5056 - (-9413))?", "solution_steps": ["Subtract: 5056 - (-9413) = 14469", "Multiply: 6057 * 14469 = 87638733"], "final_answer": "87638733", "answer_type": "integer", "kind": "expression", "math_text": "6057 * (5056 - (-9413))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6057, \"b\": 5056, \"c\": -9413}", "seed": "17749023144288835075", "semantic_fingerprint": "sha256:c0e1b0b36ead201537504e74a30d7d194a97ec08cbff808ae5fcca08e64796da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001688", "prompt": "What is (20558 + 4888 - 75844) * (-1926)?", "solution_steps": ["Add: 20558 + 4888 = 25446", "Subtract: 25446 - 75844 = -50398", "Multiply: -50398 * (-1926) = 97066548"], "final_answer": "97066548", "answer_type": "integer", "kind": "expression", "math_text": "(20558 + 4888 - 75844) * (-1926)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20558, \"b\": 4888, \"c\": 75844, \"d\": -1926}", "seed": "14897177356551315988", "semantic_fingerprint": "sha256:589613d122cafd9a6943e8e25dec79b8bff78c71cf12965d5d3a06246fa4a2e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001689", "prompt": "Calculate: -1791 - (-56636)", "solution_steps": ["Subtract: -1791 - (-56636) = 54845"], "final_answer": "54845", "answer_type": "integer", "kind": "expression", "math_text": "-1791 - (-56636)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1791, \"b\": -56636}", "seed": "16573902533907639815", "semantic_fingerprint": "sha256:9a8fba35480e38307df7835b2b11b2b77947fa5e0fa348f0d839b12959871081", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001690", "prompt": "Evaluate: 8417 - (-31501 + 8073 * (-3876))", "solution_steps": ["Multiply: 8073 * (-3876) = -31290948", "Add: -31501 + (-31290948) = -31322449", "Subtract: 8417 - (-31322449) = 31330866"], "final_answer": "31330866", "answer_type": "integer", "kind": "expression", "math_text": "8417 - (-31501 + 8073 * (-3876))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8417, \"b\": -31501, \"c\": 8073, \"d\": -3876}", "seed": "852430619642454504", "semantic_fingerprint": "sha256:9d043b6f5e4ca837225cf7c1b13a9f6117c21424c878286a962ce36f306c6940", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001691", "prompt": "What is (5102 - 9587) * (-8367) - (-2945 + 1172)?", "solution_steps": ["Subtract: 5102 - 9587 = -4485", "Multiply: -4485 * (-8367) = 37525995", "Add: -2945 + 1172 = -1773", "Subtract: 37525995 - (-1773) = 37527768"], "final_answer": "37527768", "answer_type": "integer", "kind": "expression", "math_text": "(5102 - 9587) * (-8367) - (-2945 + 1172)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5102, \"b\": 9587, \"c\": -8367, \"d\": -2945, \"e\": 1172}", "seed": "12671568042329880985", "semantic_fingerprint": "sha256:f34252f1e3e1738b14eff25221aa33db03264c0e9b10672b3588ab748d9b6b9f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001692", "prompt": "Compute: -27539 * 4381 - 7963 - (-21263)", "solution_steps": ["Multiply: -27539 * 4381 = -120648359", "Subtract: -120648359 - 7963 = -120656322", "Subtract: -120656322 - (-21263) = -120635059"], "final_answer": "-120635059", "answer_type": "integer", "kind": "expression", "math_text": "-27539 * 4381 - 7963 - (-21263)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27539, \"b\": 4381, \"c\": 7963, \"d\": -21263}", "seed": "13353143146533569169", "semantic_fingerprint": "sha256:b34a3df6845c6c3b362ff619d73e8d4a8a4951a53e793084c1df5e98c7549e79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001693", "prompt": "What is 3067 * 95477 - (-1357) + (-4984) + 18747?", "solution_steps": ["Multiply: 3067 * 95477 = 292827959", "Subtract: 292827959 - (-1357) = 292829316", "Add: 292829316 + (-4984) = 292824332", "Add: 292824332 + 18747 = 292843079"], "final_answer": "292843079", "answer_type": "integer", "kind": "expression", "math_text": "3067 * 95477 - (-1357) + (-4984) + 18747", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3067, \"b\": 95477, \"c\": -1357, \"d\": -4984, \"e\": 18747}", "seed": "7419278781603200674", "semantic_fingerprint": "sha256:9e017bcc4cab3d0c20fd8d4e262215a61b2c4e921b6855d8d73b08884c83d894", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001694", "prompt": "Solve the equation 32(x + 6537) + 9549 = -22x - 5142 for x.", "solution_steps": ["Expand: 32x + 209184 + 9549 = -22x - 5142", "Combine constants: 32x + 218733 = -22x - 5142", "Add 22x to both sides: 54x + 218733 = -5142", "Subtract 218733 from both sides: 54x = -223875", "Divide both sides by 54: x = -24875/6"], "final_answer": "-24875/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 6537) + 9549 = -22x - 5142", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 6537, \"c\": 9549, \"d\": -22, \"e\": 5142}", "seed": "16301496259096282705", "semantic_fingerprint": "sha256:bc6a92668c7642e5a3755d0a6925bb7561c1784cd52788c0604c7dfe900752ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001695", "prompt": "Find x: x + 68013 = 14(x + 4963)", "solution_steps": ["Expand: x + 68013 = 14x + 69482", "Subtract 14x from both sides: -13x + 68013 = 69482", "Subtract 68013 from both sides: -13x = 1469", "Divide both sides by -13: x = -113"], "final_answer": "-113", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 68013 = 14(x + 4963)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4963, \"d\": 68013, \"x\": -113}", "seed": "1031320280488272524", "semantic_fingerprint": "sha256:c4fb616feb1d30962c15b22142c55401205a7f14f889b865b2bf06412ec7677c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001696", "prompt": "What is -6125 * 2942 + 9502?", "solution_steps": ["Multiply: -6125 * 2942 = -18019750", "Add: -18019750 + 9502 = -18010248"], "final_answer": "-18010248", "answer_type": "integer", "kind": "expression", "math_text": "-6125 * 2942 + 9502", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6125, \"b\": 2942, \"c\": 9502}", "seed": "16513181984325685818", "semantic_fingerprint": "sha256:48b7331d4df045afe15f2b7ccd701fa8ecf566bdf27cdc4ee56926a426234911", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001697", "prompt": "Evaluate: (60331 - 9804) / 2112", "solution_steps": ["Subtract: 60331 - 9804 = 50527", "Divide: 50527 / 2112 = 50527/2112"], "final_answer": "50527/2112", "answer_type": "rational", "kind": "expression", "math_text": "(60331 - 9804) / 2112", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60331, \"b\": 9804, \"c\": 2112}", "seed": "18257902575283328071", "semantic_fingerprint": "sha256:fb53df6361f3d11c9c757e4d664183723a78db4be9a309ca676ff1a6ec367b23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001698", "prompt": "What is 5819 + (-18473 - (98594 - (-63645)))?", "solution_steps": ["Subtract: 98594 - (-63645) = 162239", "Subtract: -18473 - 162239 = -180712", "Add: 5819 + (-180712) = -174893"], "final_answer": "-174893", "answer_type": "integer", "kind": "expression", "math_text": "5819 + (-18473 - (98594 - (-63645)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5819, \"b\": -18473, \"c\": 98594, \"d\": -63645}", "seed": "1913001067367169712", "semantic_fingerprint": "sha256:756949dfaa82bef1db1310dca7e4b728bd3b1108c6842b60d5930e5d1242297e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001699", "prompt": "Solve for x: 39x + 4129 = -32x + 6117", "solution_steps": ["Add 32x to both sides: 71x + 4129 = 6117", "Subtract 4129 from both sides: 71x = 1988", "Divide both sides by 71: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x + 4129 = -32x + 6117", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4129, \"c\": -32, \"e\": 6117, \"x\": 28}", "seed": "9681131132311601902", "semantic_fingerprint": "sha256:d550c1395a1ffe0c7bb169f3c48b296e9df8b3c1d02ee6016d7a4b2643f2de59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001700", "prompt": "Compute: 78952 - (-2550 - (-2746)) * (-35577)", "solution_steps": ["Subtract: -2550 - (-2746) = 196", "Multiply: 196 * (-35577) = -6973092", "Subtract: 78952 - (-6973092) = 7052044"], "final_answer": "7052044", "answer_type": "integer", "kind": "expression", "math_text": "78952 - (-2550 - (-2746)) * (-35577)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78952, \"b\": -2550, \"c\": -2746, \"d\": -35577}", "seed": "9914090849148587522", "semantic_fingerprint": "sha256:f19a1dc473f43ad61b25e550e433734724409f12182ce24f956896859ef9c94a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001701", "prompt": "Calculate: (-1099 - 7825) * 82417", "solution_steps": ["Subtract: -1099 - 7825 = -8924", "Multiply: -8924 * 82417 = -735489308"], "final_answer": "-735489308", "answer_type": "integer", "kind": "expression", "math_text": "(-1099 - 7825) * 82417", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1099, \"b\": 7825, \"c\": 82417}", "seed": "15774888968680337234", "semantic_fingerprint": "sha256:2f5edf369ad83b226899b5eb4dc96057b6b89650c84b467b721bc97f2c376831", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001702", "prompt": "Compute: 84160 / 6127 - 23505", "solution_steps": ["Divide: 84160 / 6127 = 84160/6127", "Subtract: 84160/6127 - 23505 = -143930975/6127"], "final_answer": "-143930975/6127", "answer_type": "rational", "kind": "expression", "math_text": "84160 / 6127 - 23505", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84160, \"b\": 6127, \"c\": 23505}", "seed": "6421071037260949146", "semantic_fingerprint": "sha256:2486464b6e1ed66923f9a89533b711b162b54bf1e0fdc57e3670eded934b11af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001703", "prompt": "Solve for x: -36x + 2642 = -40x + 2490", "solution_steps": ["Add 40x to both sides: 4x + 2642 = 2490", "Subtract 2642 from both sides: 4x = -152", "Divide both sides by 4: x = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "linear_equation", "math_text": "-36x + 2642 = -40x + 2490", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 2642, \"c\": -40, \"e\": 2490, \"x\": -38}", "seed": "18239596303536324228", "semantic_fingerprint": "sha256:13af4cf5222531eb4323d2e43b21a22fc9c55128bd64ebec4e1621566f5f3f8c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001704", "prompt": "Compute: 25466 + (-5825 + 80821)", "solution_steps": ["Add: -5825 + 80821 = 74996", "Add: 25466 + 74996 = 100462"], "final_answer": "100462", "answer_type": "integer", "kind": "expression", "math_text": "25466 + (-5825 + 80821)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25466, \"b\": -5825, \"c\": 80821}", "seed": "14518215160888701024", "semantic_fingerprint": "sha256:61c5b60a3688ab9b959c406cbe66341d766198a356535e3aa342973274699be7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001705", "prompt": "What is -75212 / (5108 - 8958) * (9135 * (-74371))?", "solution_steps": ["Subtract: 5108 - 8958 = -3850", "Divide: -75212 / (-3850) = 37606/1925", "Multiply: 9135 * (-74371) = -679379085", "Multiply: (37606/1925) * (-679379085) = -66360337326/5"], "final_answer": "-66360337326/5", "answer_type": "rational", "kind": "expression", "math_text": "-75212 / (5108 - 8958) * (9135 * (-74371))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -75212, \"b\": 5108, \"c\": 8958, \"d\": 9135, \"e\": -74371}", "seed": "6638300188669827604", "semantic_fingerprint": "sha256:959049e0347b330167621c81cc942badae373a38ac84174820c377261d4bb571", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001706", "prompt": "Compute: -41750 * (-33075) - (-67376) * (-11632)", "solution_steps": ["Multiply: -41750 * (-33075) = 1380881250", "Multiply: -67376 * (-11632) = 783717632", "Subtract: 1380881250 - 783717632 = 597163618"], "final_answer": "597163618", "answer_type": "integer", "kind": "expression", "math_text": "-41750 * (-33075) - (-67376) * (-11632)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -41750, \"b\": -33075, \"c\": -67376, \"d\": -11632}", "seed": "9325284472401091085", "semantic_fingerprint": "sha256:c339da45832ed2ca0bf957167903edcbf0c4ac35e19802c08dcf60beb3d074da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001707", "prompt": "Find x: 30x + 7878 = x - 5326", "solution_steps": ["Subtract x from both sides: 29x + 7878 = -5326", "Subtract 7878 from both sides: 29x = -13204", "Divide both sides by 29: x = -13204/29"], "final_answer": "-13204/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x + 7878 = x - 5326", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 7878, \"c\": 5326}", "seed": "5996901562861204008", "semantic_fingerprint": "sha256:4cd493736b41565ac14be50b539ad814e17289863f954ad157e27a5160fa3972", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001708", "prompt": "What is 3561 * (-55192) - (60684 - 24945 + (75532 - (-1461)))?", "solution_steps": ["Multiply: 3561 * (-55192) = -196538712", "Subtract: 60684 - 24945 = 35739", "Subtract: 75532 - (-1461) = 76993", "Add: 35739 + 76993 = 112732", "Subtract: -196538712 - 112732 = -196651444"], "final_answer": "-196651444", "answer_type": "integer", "kind": "expression", "math_text": "3561 * (-55192) - (60684 - 24945 + (75532 - (-1461)))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (+ (- n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3561, \"b\": -55192, \"c\": 60684, \"d\": 24945, \"e\": 75532, \"f\": -1461}", "seed": "1049734588488509489", "semantic_fingerprint": "sha256:c174c3d22ef9978d79d63ac701022425dc25b398e92690d58526f9a69d2bd407", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001709", "prompt": "What is -5536 * (-9376 / (-7132) + (-81595 - (-75539)))?", "solution_steps": ["Divide: -9376 / (-7132) = 2344/1783", "Subtract: -81595 - (-75539) = -6056", "Add: 2344/1783 + (-6056) = -10795504/1783", "Multiply: -5536 * (-10795504/1783) = 59763910144/1783"], "final_answer": "59763910144/1783", "answer_type": "rational", "kind": "expression", "math_text": "-5536 * (-9376 / (-7132) + (-81595 - (-75539)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5536, \"b\": -9376, \"c\": -7132, \"d\": -81595, \"e\": -75539}", "seed": "1753172254021351460", "semantic_fingerprint": "sha256:e0b13a9dae0ef8bae4c1ccf89c0ad630e522375e0e277720295bffbf5650053d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001710", "prompt": "Calculate: -5610 * (-8847 - 8891)", "solution_steps": ["Subtract: -8847 - 8891 = -17738", "Multiply: -5610 * (-17738) = 99510180"], "final_answer": "99510180", "answer_type": "integer", "kind": "expression", "math_text": "-5610 * (-8847 - 8891)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5610, \"b\": -8847, \"c\": 8891}", "seed": "3207124225100879845", "semantic_fingerprint": "sha256:e9b3fb4e0d8326c0205c9001cfb4112c402dbfc6d1055a3b2a1ab76de2b278a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001711", "prompt": "Evaluate: -7406 + (-3544) * 7861 - (-8272 + (-52043 - 55891))", "solution_steps": ["Multiply: -3544 * 7861 = -27859384", "Add: -7406 + (-27859384) = -27866790", "Subtract: -52043 - 55891 = -107934", "Add: -8272 + (-107934) = -116206", "Subtract: -27866790 - (-116206) = -27750584"], "final_answer": "-27750584", "answer_type": "integer", "kind": "expression", "math_text": "-7406 + (-3544) * 7861 - (-8272 + (-52043 - 55891))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7406, \"b\": -3544, \"c\": 7861, \"d\": -8272, \"e\": -52043, \"f\": 55891}", "seed": "13585225494763694080", "semantic_fingerprint": "sha256:8c5f6cb7e0ca0072c670315cb309e2dea78901967f9333357e708dcff06cee4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001712", "prompt": "Compute: (-63267 + (-5322)) * (-7024)", "solution_steps": ["Add: -63267 + (-5322) = -68589", "Multiply: -68589 * (-7024) = 481769136"], "final_answer": "481769136", "answer_type": "integer", "kind": "expression", "math_text": "(-63267 + (-5322)) * (-7024)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -63267, \"b\": -5322, \"c\": -7024}", "seed": "7249848593524069714", "semantic_fingerprint": "sha256:d0583e58b905c37fc830d7021d2272aaa49ae2849a4faefc15d034e5ff6fbb1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001713", "prompt": "Compute: 1411 * (-49207) - 26547", "solution_steps": ["Multiply: 1411 * (-49207) = -69431077", "Subtract: -69431077 - 26547 = -69457624"], "final_answer": "-69457624", "answer_type": "integer", "kind": "expression", "math_text": "1411 * (-49207) - 26547", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1411, \"b\": -49207, \"c\": 26547}", "seed": "10056282876671097859", "semantic_fingerprint": "sha256:064be62295452e8888f44371eb7e8921b1f267a87089f20173ef4c939d83b095", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001714", "prompt": "Solve for x: 22x - 1378 = x + 1856", "solution_steps": ["Subtract x from both sides: 21x - 1378 = 1856", "Add 1378 to both sides: 21x = 3234", "Divide both sides by 21: x = 154"], "final_answer": "154", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x - 1378 = x + 1856", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 1378, \"d\": 1856, \"x\": 154}", "seed": "14168412505869488391", "semantic_fingerprint": "sha256:7fe23c0b82e3aef3c5ef75f5878525153e0af353b1caf39eaaab279671cce7c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001715", "prompt": "What value of x satisfies 30(x + 17484) = x + 75719?", "solution_steps": ["Expand: 30x + 524520 = x + 75719", "Subtract x from both sides: 29x + 524520 = 75719", "Subtract 524520 from both sides: 29x = -448801", "Divide both sides by 29: x = -448801/29"], "final_answer": "-448801/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 17484) = x + 75719", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 17484, \"c\": 75719}", "seed": "13568499809996687228", "semantic_fingerprint": "sha256:a76c47ce9abb7888015c996f7b45d3dcd6f01e5c2cb0bc678bb5b62c61fe3022", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001716", "prompt": "Evaluate: 7308 - 23416 + 8926 * (-65389) + (-3682)", "solution_steps": ["Subtract: 7308 - 23416 = -16108", "Multiply: 8926 * (-65389) = -583662214", "Add: -16108 + (-583662214) = -583678322", "Add: -583678322 + (-3682) = -583682004"], "final_answer": "-583682004", "answer_type": "integer", "kind": "expression", "math_text": "7308 - 23416 + 8926 * (-65389) + (-3682)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7308, \"b\": 23416, \"c\": 8926, \"d\": -65389, \"e\": -3682}", "seed": "7403354302580579737", "semantic_fingerprint": "sha256:eadb28a5fc7506f41eace5a4faeb51c4c9c5832de225e2af7ab52210fd818fab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001717", "prompt": "Evaluate: 8005 + 93961 + 6055 * 7363", "solution_steps": ["Add: 8005 + 93961 = 101966", "Multiply: 6055 * 7363 = 44582965", "Add: 101966 + 44582965 = 44684931"], "final_answer": "44684931", "answer_type": "integer", "kind": "expression", "math_text": "8005 + 93961 + 6055 * 7363", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8005, \"b\": 93961, \"c\": 6055, \"d\": 7363}", "seed": "12604711567865792789", "semantic_fingerprint": "sha256:9fe016517c45b2bccefa06f424580f67c0776a211a6b661f5f80e74337aeb678", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001718", "prompt": "Solve for x: 17(x + 26348) = x", "solution_steps": ["Expand: 17x + 447916 = x", "Subtract x from both sides: 16x + 447916 = 0", "Subtract 447916 from both sides: 16x = -447916", "Divide both sides by 16: x = -111979/4"], "final_answer": "-111979/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 26348) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 26348}", "seed": "12320779749264710404", "semantic_fingerprint": "sha256:9faf6acc89a4d75157624b2856647f3f22ce6b6c3862442e2db1119d8c3b2937", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001719", "prompt": "What is 57890 * 1113?", "solution_steps": ["Multiply: 57890 * 1113 = 64431570"], "final_answer": "64431570", "answer_type": "integer", "kind": "expression", "math_text": "57890 * 1113", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 57890, \"b\": 1113}", "seed": "1494488358196748985", "semantic_fingerprint": "sha256:4c14e20bb74d9b7180c3ecec18e9cf7eb6dc27b09e66b38d29b468b058d8113d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001720", "prompt": "Calculate: 1543 * (-51949) + (-18460)", "solution_steps": ["Multiply: 1543 * (-51949) = -80157307", "Add: -80157307 + (-18460) = -80175767"], "final_answer": "-80175767", "answer_type": "integer", "kind": "expression", "math_text": "1543 * (-51949) + (-18460)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1543, \"b\": -51949, \"c\": -18460}", "seed": "6137033733779100504", "semantic_fingerprint": "sha256:85e7cf777b8bdb70e44406b6232b1697f6a54c51dfef297351008c010848e41c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001721", "prompt": "What value of x satisfies -33x = x + 5950?", "solution_steps": ["Subtract x from both sides: -34x = 5950", "Divide both sides by -34: x = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33x = x + 5950", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"c\": 5950, \"x\": -175}", "seed": "9540363731888602563", "semantic_fingerprint": "sha256:38296d7fd81e70e66744085c2da43e4fdcaefb1b31c5afd7150b5f5d5b74e19b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001722", "prompt": "What value of x satisfies -39x + 2568 = -15x?", "solution_steps": ["Add 15x to both sides: -24x + 2568 = 0", "Subtract 2568 from both sides: -24x = -2568", "Divide both sides by -24: x = 107"], "final_answer": "107", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x + 2568 = -15x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": -15, \"d\": 2568, \"x\": 107}", "seed": "12121321536962798891", "semantic_fingerprint": "sha256:db3b7444155009c79335e0be78931d588a320799db1fe253f284025651b1590f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001723", "prompt": "Calculate: 9501 + (-82309 - 9936)", "solution_steps": ["Subtract: -82309 - 9936 = -92245", "Add: 9501 + (-92245) = -82744"], "final_answer": "-82744", "answer_type": "integer", "kind": "expression", "math_text": "9501 + (-82309 - 9936)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9501, \"b\": -82309, \"c\": 9936}", "seed": "3622989439050962986", "semantic_fingerprint": "sha256:43611274fcd0905c4a39385746ac0371a91fca5d10d47305a2fea034965442fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001724", "prompt": "Evaluate: -5085 / 5114", "solution_steps": ["Divide: -5085 / 5114 = -5085/5114"], "final_answer": "-5085/5114", "answer_type": "rational", "kind": "expression", "math_text": "-5085 / 5114", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5085, \"b\": 5114}", "seed": "10875797484313803351", "semantic_fingerprint": "sha256:24e590f327f28dfe6b66a7a29cdbc3face7f53d1ce9e899b85de85a700b7ec4c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001725", "prompt": "Evaluate: -71619 * (-7645 + (-48524))", "solution_steps": ["Add: -7645 + (-48524) = -56169", "Multiply: -71619 * (-56169) = 4022767611"], "final_answer": "4022767611", "answer_type": "integer", "kind": "expression", "math_text": "-71619 * (-7645 + (-48524))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71619, \"b\": -7645, \"c\": -48524}", "seed": "2904014062197554842", "semantic_fingerprint": "sha256:f4933aba5f4e3564f705ebae720fa3a8f40b899efcb055e8c973ac8cfe832eaf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001726", "prompt": "Evaluate: -1685 + (-69011) + 40598", "solution_steps": ["Add: -1685 + (-69011) = -70696", "Add: -70696 + 40598 = -30098"], "final_answer": "-30098", "answer_type": "integer", "kind": "expression", "math_text": "-1685 + (-69011) + 40598", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1685, \"b\": -69011, \"c\": 40598}", "seed": "5684384290225771815", "semantic_fingerprint": "sha256:a3be055ff8a59eb1a93136eed85dd65d04d0fcfb06b0c52065d7c164b353b75f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001727", "prompt": "What is -8284 - (53303 - (-8637) - (-15461))?", "solution_steps": ["Subtract: 53303 - (-8637) = 61940", "Subtract: 61940 - (-15461) = 77401", "Subtract: -8284 - 77401 = -85685"], "final_answer": "-85685", "answer_type": "integer", "kind": "expression", "math_text": "-8284 - (53303 - (-8637) - (-15461))", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8284, \"b\": 53303, \"c\": -8637, \"d\": -15461}", "seed": "6446370548665926400", "semantic_fingerprint": "sha256:7ee90e120c925b51b9b2304e133d2a38083929864a3bdee165a875def9dec252", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001728", "prompt": "What is -2538 - 5157?", "solution_steps": ["Subtract: -2538 - 5157 = -7695"], "final_answer": "-7695", "answer_type": "integer", "kind": "expression", "math_text": "-2538 - 5157", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2538, \"b\": 5157}", "seed": "2053939718342633536", "semantic_fingerprint": "sha256:c2b7cf0896c9f17a3270273c5b3e0061a6cdb1d783422d82e77d973ccae03776", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001729", "prompt": "Find x: 23x + 73442 = x - 5528", "solution_steps": ["Subtract x from both sides: 22x + 73442 = -5528", "Subtract 73442 from both sides: 22x = -78970", "Divide both sides by 22: x = -39485/11"], "final_answer": "-39485/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 73442 = x - 5528", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 73442, \"c\": 5528}", "seed": "5639704500001641584", "semantic_fingerprint": "sha256:844c4b064b63db1edd2a8c849715ed54f56ad5a5e906c1564796b3d50922a43f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001730", "prompt": "What value of x satisfies -38(x + 24816) - 56743 = 33(x - 9052) - 69129?", "solution_steps": ["Expand: -38x - 943008 - 56743 = 33(x - 9052) - 69129", "Expand: -38x - 943008 - 56743 = 33x - 298716 - 69129", "Combine constants: -38x - 999751 = 33x - 298716 - 69129", "Combine constants: -38x - 999751 = 33x - 367845", "Subtract 33x from both sides: -71x - 999751 = -367845", "Add 999751 to both sides: -71x = 631906", "Divide both sides by -71: x = -631906/71"], "final_answer": "-631906/71", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 24816) - 56743 = 33(x - 9052) - 69129", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 24816, \"c\": 56743, \"d\": 33, \"e\": 9052, \"f\": 69129}", "seed": "4095337947227726645", "semantic_fingerprint": "sha256:3420a79a8cd4fcb95ec0bb3756b474b13ef8b144652c62cbcc81f69bde9684f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001731", "prompt": "Evaluate: (-48576 + 38237) * (6720 + (-2508) + (-17728))", "solution_steps": ["Add: -48576 + 38237 = -10339", "Add: 6720 + (-2508) = 4212", "Add: 4212 + (-17728) = -13516", "Multiply: -10339 * (-13516) = 139741924"], "final_answer": "139741924", "answer_type": "integer", "kind": "expression", "math_text": "(-48576 + 38237) * (6720 + (-2508) + (-17728))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -48576, \"b\": 38237, \"c\": 6720, \"d\": -2508, \"e\": -17728}", "seed": "2750202627478128723", "semantic_fingerprint": "sha256:dc34ce4f2a99fda4b5777c310e81f021d3f3161a4a81478e13375baea9c801b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001732", "prompt": "Calculate: 7153 / 9750", "solution_steps": ["Divide: 7153 / 9750 = 7153/9750"], "final_answer": "7153/9750", "answer_type": "rational", "kind": "expression", "math_text": "7153 / 9750", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7153, \"b\": 9750}", "seed": "17919605556123001207", "semantic_fingerprint": "sha256:49ada44f32b0730b1547a0a9bec5d1d02a6f4ad3cdd82b72d531869c258a4d4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001733", "prompt": "Compute: 37326 * (-4058) + 75642", "solution_steps": ["Multiply: 37326 * (-4058) = -151468908", "Add: -151468908 + 75642 = -151393266"], "final_answer": "-151393266", "answer_type": "integer", "kind": "expression", "math_text": "37326 * (-4058) + 75642", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37326, \"b\": -4058, \"c\": 75642}", "seed": "1776814295832387589", "semantic_fingerprint": "sha256:aa5efd1f439e7264776455a4dd011a585925755bdbfdda497ee3d517506ef07e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001734", "prompt": "Solve for x: 14x + 5509 = 32x + 6121", "solution_steps": ["Subtract 32x from both sides: -18x + 5509 = 6121", "Subtract 5509 from both sides: -18x = 612", "Divide both sides by -18: x = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x + 5509 = 32x + 6121", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5509, \"c\": 32, \"e\": 6121, \"x\": -34}", "seed": "5850130988280481540", "semantic_fingerprint": "sha256:6b1339a5ccf2431535a56c4a9922c0991007ae27dd38ba466b54456436fa3346", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001735", "prompt": "What is (5827 - 1118 * 6973) * (2063 - (-3400) - 4984)?", "solution_steps": ["Multiply: 1118 * 6973 = 7795814", "Subtract: 5827 - 7795814 = -7789987", "Subtract: 2063 - (-3400) = 5463", "Subtract: 5463 - 4984 = 479", "Multiply: -7789987 * 479 = -3731403773"], "final_answer": "-3731403773", "answer_type": "integer", "kind": "expression", "math_text": "(5827 - 1118 * 6973) * (2063 - (-3400) - 4984)", "variable": null, "family": "expression_5op", "shape": "(* (- n (* n n)) (- (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5827, \"b\": 1118, \"c\": 6973, \"d\": 2063, \"e\": -3400, \"f\": 4984}", "seed": "7282308355948786273", "semantic_fingerprint": "sha256:32e934534e4210c3c2f80aa2a3c0672781ba7de0628b2046d823865153fadee4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001736", "prompt": "Evaluate: 15292 + 5225", "solution_steps": ["Add: 15292 + 5225 = 20517"], "final_answer": "20517", "answer_type": "integer", "kind": "expression", "math_text": "15292 + 5225", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 15292, \"b\": 5225}", "seed": "775959586587605039", "semantic_fingerprint": "sha256:425551fb9798d15661fedd9112703243aeb6b36af86063f537272ca63e77f65e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001737", "prompt": "Evaluate: 20765 + (-7941) - (-58307)", "solution_steps": ["Add: 20765 + (-7941) = 12824", "Subtract: 12824 - (-58307) = 71131"], "final_answer": "71131", "answer_type": "integer", "kind": "expression", "math_text": "20765 + (-7941) - (-58307)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20765, \"b\": -7941, \"c\": -58307}", "seed": "18433426801993658217", "semantic_fingerprint": "sha256:f9aee29b478213a9ea5d81612f4453722ba5918e1efdbf2dd85a7a4b1c3e2f04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001738", "prompt": "Compute: -95219 * (-7167 + 5185)", "solution_steps": ["Add: -7167 + 5185 = -1982", "Multiply: -95219 * (-1982) = 188724058"], "final_answer": "188724058", "answer_type": "integer", "kind": "expression", "math_text": "-95219 * (-7167 + 5185)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95219, \"b\": -7167, \"c\": 5185}", "seed": "1878449475558897476", "semantic_fingerprint": "sha256:b5e65418dbb4f32707cb86c6737ea5dfd2d8f14a555aed020e315d368a1963d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001739", "prompt": "Evaluate: -43421 - 47540", "solution_steps": ["Subtract: -43421 - 47540 = -90961"], "final_answer": "-90961", "answer_type": "integer", "kind": "expression", "math_text": "-43421 - 47540", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -43421, \"b\": 47540}", "seed": "3799497981163515966", "semantic_fingerprint": "sha256:5fcca0a98835a99d3d66919410c2a71cb5b360a56b971e759b42662f40d99bd6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001740", "prompt": "Find x: 17(x + 4834) - 42047 = -31x + 37347", "solution_steps": ["Expand: 17x + 82178 - 42047 = -31x + 37347", "Combine constants: 17x + 40131 = -31x + 37347", "Add 31x to both sides: 48x + 40131 = 37347", "Subtract 40131 from both sides: 48x = -2784", "Divide both sides by 48: x = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 4834) - 42047 = -31x + 37347", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4834, \"c\": 42047, \"d\": -31, \"f\": 37347, \"x\": -58}", "seed": "15581134352525828412", "semantic_fingerprint": "sha256:de897b4a467b3a65d361c2bc6df012c2841c838668224143966c49b6caf055a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001741", "prompt": "Solve the equation -31(x + 1143) = 36x - 45282 for x.", "solution_steps": ["Expand: -31x - 35433 = 36x - 45282", "Subtract 36x from both sides: -67x - 35433 = -45282", "Add 35433 to both sides: -67x = -9849", "Divide both sides by -67: x = 147"], "final_answer": "147", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31(x + 1143) = 36x - 45282", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 1143, \"c\": 36, \"e\": -45282, \"x\": 147}", "seed": "14943308396199867610", "semantic_fingerprint": "sha256:1095cc2915ccdba24303368352d4690d60bdcea03afe3765a8ebcebb46b6ca8b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001742", "prompt": "What value of x satisfies -26x - 4988 = x - 7661?", "solution_steps": ["Subtract x from both sides: -27x - 4988 = -7661", "Add 4988 to both sides: -27x = -2673", "Divide both sides by -27: x = 99"], "final_answer": "99", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x - 4988 = x - 7661", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 4988, \"d\": -7661, \"x\": 99}", "seed": "7186987042063293044", "semantic_fingerprint": "sha256:5c6495ccb014f73dbca75ed380a55f7dffa036bb45eaf4a75203e3319340d0a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001743", "prompt": "What is 2391 / (-73566) * (-8964 * (-2120))?", "solution_steps": ["Divide: 2391 / (-73566) = -797/24522", "Multiply: -8964 * (-2120) = 19003680", "Multiply: (-797/24522) * 19003680 = -2524322160/4087"], "final_answer": "-2524322160/4087", "answer_type": "rational", "kind": "expression", "math_text": "2391 / (-73566) * (-8964 * (-2120))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2391, \"b\": -73566, \"c\": -8964, \"d\": -2120}", "seed": "4998498122556857822", "semantic_fingerprint": "sha256:2849749254bc26cd756bd2092563efb8e2262249d70a74f96e7ecbf3fc5f4d11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001744", "prompt": "What is -71247 + (-94820) - 4695?", "solution_steps": ["Add: -71247 + (-94820) = -166067", "Subtract: -166067 - 4695 = -170762"], "final_answer": "-170762", "answer_type": "integer", "kind": "expression", "math_text": "-71247 + (-94820) - 4695", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71247, \"b\": -94820, \"c\": 4695}", "seed": "8621723092051550893", "semantic_fingerprint": "sha256:ef6e133b4b87a91b1e974430b62d9bb706f9979e99074489a343bca585a3f7ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001745", "prompt": "What is (-3757 * (-5943) + (-6636)) / (-7454 / 1817)?", "solution_steps": ["Multiply: -3757 * (-5943) = 22327851", "Add: 22327851 + (-6636) = 22321215", "Divide: -7454 / 1817 = -7454/1817", "Divide: 22321215 / (-7454/1817) = -40557647655/7454"], "final_answer": "-40557647655/7454", "answer_type": "rational", "kind": "expression", "math_text": "(-3757 * (-5943) + (-6636)) / (-7454 / 1817)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3757, \"b\": -5943, \"c\": -6636, \"d\": -7454, \"e\": 1817}", "seed": "12638493517685664979", "semantic_fingerprint": "sha256:e868e140a239370e5a5a0dc17f025793b940cdaf633fb6c25bc02964c09e6f46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001746", "prompt": "What is -18486 / (-8001)?", "solution_steps": ["Divide: -18486 / (-8001) = 2054/889"], "final_answer": "2054/889", "answer_type": "rational", "kind": "expression", "math_text": "-18486 / (-8001)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18486, \"b\": -8001}", "seed": "2605795362115057768", "semantic_fingerprint": "sha256:f870b7d01753ec84a8eae23753caf8d69741269c447939fc869ee6e138034991", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001747", "prompt": "Solve for x: x + 26045 = -40(x + 3663) - 8177", "solution_steps": ["Expand: x + 26045 = -40x - 146520 - 8177", "Combine constants: x + 26045 = -40x - 154697", "Add 40x to both sides: 41x + 26045 = -154697", "Subtract 26045 from both sides: 41x = -180742", "Divide both sides by 41: x = -180742/41"], "final_answer": "-180742/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 26045 = -40(x + 3663) - 8177", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26045, \"b\": -40, \"c\": 3663, \"d\": 8177}", "seed": "7922594685582866708", "semantic_fingerprint": "sha256:103cc4264f592cbe551e01a00caff28606e6c544a9ce1a739bbfeb8af92e3dc3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001748", "prompt": "Calculate: -1311 - 4543 - (-9684) - (1585 + (-8922))", "solution_steps": ["Subtract: -1311 - 4543 = -5854", "Subtract: -5854 - (-9684) = 3830", "Add: 1585 + (-8922) = -7337", "Subtract: 3830 - (-7337) = 11167"], "final_answer": "11167", "answer_type": "integer", "kind": "expression", "math_text": "-1311 - 4543 - (-9684) - (1585 + (-8922))", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1311, \"b\": 4543, \"c\": -9684, \"d\": 1585, \"e\": -8922}", "seed": "4427407534477039043", "semantic_fingerprint": "sha256:89aeedc02be6d24ae8d8627bc63e1dbe989c658a5da44a1c7586f671e1efc942", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001749", "prompt": "Evaluate: 80422 + 3164 + (-3521) - 27748 * (-6760 / 25891)", "solution_steps": ["Add: 80422 + 3164 = 83586", "Add: 83586 + (-3521) = 80065", "Divide: -6760 / 25891 = -6760/25891", "Multiply: 27748 * (-6760/25891) = -187576480/25891", "Subtract: 80065 - (-187576480/25891) = 2260539395/25891"], "final_answer": "2260539395/25891", "answer_type": "rational", "kind": "expression", "math_text": "80422 + 3164 + (-3521) - 27748 * (-6760 / 25891)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) n) (* n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 80422, \"b\": 3164, \"c\": -3521, \"d\": 27748, \"e\": -6760, \"f\": 25891}", "seed": "18042417587357733181", "semantic_fingerprint": "sha256:a939ac444a462903a81a7dc9a20e8d8438c0701a523564a74be392cf4cde8852", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001750", "prompt": "Calculate: 64838 + (9223 + 15554 + 52060)", "solution_steps": ["Add: 9223 + 15554 = 24777", "Add: 24777 + 52060 = 76837", "Add: 64838 + 76837 = 141675"], "final_answer": "141675", "answer_type": "integer", "kind": "expression", "math_text": "64838 + (9223 + 15554 + 52060)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 64838, \"b\": 9223, \"c\": 15554, \"d\": 52060}", "seed": "7201467418633705409", "semantic_fingerprint": "sha256:f31ec2854a794402adaa12c2fa69ea915248d02660db30083d1148077dd384d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001751", "prompt": "Compute: -1003 * 8384 + (-68170) / (-5297 + (-7483) + 1373)", "solution_steps": ["Multiply: -1003 * 8384 = -8409152", "Add: -5297 + (-7483) = -12780", "Add: -12780 + 1373 = -11407", "Divide: -68170 / (-11407) = 4010/671", "Add: -8409152 + 4010/671 = -5642536982/671"], "final_answer": "-5642536982/671", "answer_type": "rational", "kind": "expression", "math_text": "-1003 * 8384 + (-68170) / (-5297 + (-7483) + 1373)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (/ n (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1003, \"b\": 8384, \"c\": -68170, \"d\": -5297, \"e\": -7483, \"f\": 1373}", "seed": "10356139554316337935", "semantic_fingerprint": "sha256:ae08ed299448a15a9d4e3ac6e4f390b21448180aa56cca0f31ba87f7b723575c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001752", "prompt": "Evaluate: -28305 / (-79563 + (-4626 - (-93200)) + (-2465))", "solution_steps": ["Subtract: -4626 - (-93200) = 88574", "Add: -79563 + 88574 = 9011", "Add: 9011 + (-2465) = 6546", "Divide: -28305 / 6546 = -9435/2182"], "final_answer": "-9435/2182", "answer_type": "rational", "kind": "expression", "math_text": "-28305 / (-79563 + (-4626 - (-93200)) + (-2465))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28305, \"b\": -79563, \"c\": -4626, \"d\": -93200, \"e\": -2465}", "seed": "18215048350816484663", "semantic_fingerprint": "sha256:eb4ecd4755444fc87f609365c57a9bf46ec68933c92aa636bc4429da9f62ecf2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001753", "prompt": "Evaluate: -5376 + 43221 / (-41226)", "solution_steps": ["Divide: 43221 / (-41226) = -14407/13742", "Add: -5376 + (-14407/13742) = -73891399/13742"], "final_answer": "-73891399/13742", "answer_type": "rational", "kind": "expression", "math_text": "-5376 + 43221 / (-41226)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5376, \"b\": 43221, \"c\": -41226}", "seed": "5652012729562218675", "semantic_fingerprint": "sha256:267d2d494c20d3aeb6f310adbc137f14a4e57733941417771d7f0731187f196f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001754", "prompt": "Compute: 9353 / 3211", "solution_steps": ["Divide: 9353 / 3211 = 9353/3211"], "final_answer": "9353/3211", "answer_type": "rational", "kind": "expression", "math_text": "9353 / 3211", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9353, \"b\": 3211}", "seed": "3102173150002105119", "semantic_fingerprint": "sha256:b641e9e0d5bc4af295552938cf94d0373311de68fdb1a0df4d8160c67002e014", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001755", "prompt": "Calculate: 24588 * (-81537) / (-54571)", "solution_steps": ["Multiply: 24588 * (-81537) = -2004831756", "Divide: -2004831756 / (-54571) = 2004831756/54571"], "final_answer": "2004831756/54571", "answer_type": "rational", "kind": "expression", "math_text": "24588 * (-81537) / (-54571)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24588, \"b\": -81537, \"c\": -54571}", "seed": "3752942167091670414", "semantic_fingerprint": "sha256:c6a127e8a5dfe3aae22c77005e4d9656a926eeec086b62db788eb9430ae6419f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001756", "prompt": "Solve the equation 35x + 67597 = 74387 for x.", "solution_steps": ["Subtract 67597 from both sides: 35x = 6790", "Divide both sides by 35: x = 194"], "final_answer": "194", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 67597 = 74387", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 67597, \"d\": 74387, \"x\": 194}", "seed": "13655397250407116198", "semantic_fingerprint": "sha256:7f68c69926eca398f837826bc930507a023e599ac5f323f326ddbe677b98938c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001757", "prompt": "Find x: 26(x - 44553) + 19481 = x", "solution_steps": ["Expand: 26x - 1158378 + 19481 = x", "Combine constants: 26x - 1138897 = x", "Subtract x from both sides: 25x - 1138897 = 0", "Add 1138897 to both sides: 25x = 1138897", "Divide both sides by 25: x = 1138897/25"], "final_answer": "1138897/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 44553) + 19481 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 44553, \"c\": 19481}", "seed": "2722428794682484278", "semantic_fingerprint": "sha256:9067bd8cf44235d0218a499b4feb00bb1e3ba5988edb3b015490df238412f7f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001758", "prompt": "Calculate: 7468 - (-4015) * (-25654) / 94375", "solution_steps": ["Multiply: -4015 * (-25654) = 103000810", "Divide: 103000810 / 94375 = 20600162/18875", "Subtract: 7468 - 20600162/18875 = 120358338/18875"], "final_answer": "120358338/18875", "answer_type": "rational", "kind": "expression", "math_text": "7468 - (-4015) * (-25654) / 94375", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7468, \"b\": -4015, \"c\": -25654, \"d\": 94375}", "seed": "7801331337031263472", "semantic_fingerprint": "sha256:817c6d2a9de6c8853fe91a1a74ea964892bc781db8af00ecc966c65430c6c8c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001759", "prompt": "Compute: 6268 * 8851 - (-7687 + (-53094))", "solution_steps": ["Multiply: 6268 * 8851 = 55478068", "Add: -7687 + (-53094) = -60781", "Subtract: 55478068 - (-60781) = 55538849"], "final_answer": "55538849", "answer_type": "integer", "kind": "expression", "math_text": "6268 * 8851 - (-7687 + (-53094))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6268, \"b\": 8851, \"c\": -7687, \"d\": -53094}", "seed": "3355816274883829110", "semantic_fingerprint": "sha256:929ce8c7c03df6bab47f3baa566baeba8591f467bfd9fa6bd9c2206121164050", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001760", "prompt": "Calculate: (95481 + (-51599) - (6062 + (-3936))) / (9602 - (-7119))", "solution_steps": ["Add: 95481 + (-51599) = 43882", "Add: 6062 + (-3936) = 2126", "Subtract: 43882 - 2126 = 41756", "Subtract: 9602 - (-7119) = 16721", "Divide: 41756 / 16721 = 41756/16721"], "final_answer": "41756/16721", "answer_type": "rational", "kind": "expression", "math_text": "(95481 + (-51599) - (6062 + (-3936))) / (9602 - (-7119))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 95481, \"b\": -51599, \"c\": 6062, \"d\": -3936, \"e\": 9602, \"f\": -7119}", "seed": "11323791095987896021", "semantic_fingerprint": "sha256:8e9570eff17a7575ec73d9b6c10a48ed911a15cb6089cd3e279dd8d5c6b210c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001761", "prompt": "Solve for x: x = -27(x - 3511)", "solution_steps": ["Expand: x = -27x + 94797", "Add 27x to both sides: 28x = 94797", "Divide both sides by 28: x = 94797/28"], "final_answer": "94797/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -27(x - 3511)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 3511}", "seed": "7524513392196276212", "semantic_fingerprint": "sha256:743edff51d698440d811c5365bd282fd74ec831401e70246b8fa4bc27939b142", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001762", "prompt": "What is 23843 * (9464 + 6721)?", "solution_steps": ["Add: 9464 + 6721 = 16185", "Multiply: 23843 * 16185 = 385898955"], "final_answer": "385898955", "answer_type": "integer", "kind": "expression", "math_text": "23843 * (9464 + 6721)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23843, \"b\": 9464, \"c\": 6721}", "seed": "10316656065388827155", "semantic_fingerprint": "sha256:ef5d918c4ad72788138ed3438cee7094adc60f7fdeddcf4b3142309c846e6a0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001763", "prompt": "Evaluate: (45558 + (-9280)) / (-3444)", "solution_steps": ["Add: 45558 + (-9280) = 36278", "Divide: 36278 / (-3444) = -18139/1722"], "final_answer": "-18139/1722", "answer_type": "rational", "kind": "expression", "math_text": "(45558 + (-9280)) / (-3444)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45558, \"b\": -9280, \"c\": -3444}", "seed": "7106397157343007544", "semantic_fingerprint": "sha256:f1892badc9c4be5e2d3bf19b26bc3605eb6dd894d70110842508285021d9a82c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001764", "prompt": "Evaluate: 6304 - (-83342)", "solution_steps": ["Subtract: 6304 - (-83342) = 89646"], "final_answer": "89646", "answer_type": "integer", "kind": "expression", "math_text": "6304 - (-83342)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6304, \"b\": -83342}", "seed": "17623119529374478183", "semantic_fingerprint": "sha256:d327452a30ca32a160671733bbd924bb196cd4a6a146f1916d440f1013938630", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001765", "prompt": "Evaluate: 24724 / (-35928) - 3012 * 5028", "solution_steps": ["Divide: 24724 / (-35928) = -6181/8982", "Multiply: 3012 * 5028 = 15144336", "Subtract: -6181/8982 - 15144336 = -136026432133/8982"], "final_answer": "-136026432133/8982", "answer_type": "rational", "kind": "expression", "math_text": "24724 / (-35928) - 3012 * 5028", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24724, \"b\": -35928, \"c\": 3012, \"d\": 5028}", "seed": "3562912361791678246", "semantic_fingerprint": "sha256:0a27079ea331e93ad9ec97573f2ad16d91a2d1ef22c91275ef4acd2ff0884553", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001766", "prompt": "What is (89351 / 6609 + 6012) * (8434 + 12552)?", "solution_steps": ["Divide: 89351 / 6609 = 89351/6609", "Add: 89351/6609 + 6012 = 39822659/6609", "Add: 8434 + 12552 = 20986", "Multiply: (39822659/6609) * 20986 = 835718321774/6609"], "final_answer": "835718321774/6609", "answer_type": "rational", "kind": "expression", "math_text": "(89351 / 6609 + 6012) * (8434 + 12552)", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 89351, \"b\": 6609, \"c\": 6012, \"d\": 8434, \"e\": 12552}", "seed": "15707471837949114747", "semantic_fingerprint": "sha256:0517e39fab6dc0fb8694312b9d4dfb24beeee151987c27e0e9fb7b8f5c69c0f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001767", "prompt": "Solve the equation x = 28x + 3753 for x.", "solution_steps": ["Subtract 28x from both sides: -27x = 3753", "Divide both sides by -27: x = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 28x + 3753", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": 3753, \"x\": -139}", "seed": "16402585737126512723", "semantic_fingerprint": "sha256:756892427107cee9aa04ddab8d0713daaf8f0c375d38983e4ba0cad7c4a930a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001768", "prompt": "Evaluate: -13903 * (-4279) + 98559", "solution_steps": ["Multiply: -13903 * (-4279) = 59490937", "Add: 59490937 + 98559 = 59589496"], "final_answer": "59589496", "answer_type": "integer", "kind": "expression", "math_text": "-13903 * (-4279) + 98559", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13903, \"b\": -4279, \"c\": 98559}", "seed": "14694448548347222468", "semantic_fingerprint": "sha256:e458aafcaf403829c5653c5c4e3e12632a2b861d799134cb7386b28bbc6b30e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001769", "prompt": "Find x: x = 38x + 1332", "solution_steps": ["Subtract 38x from both sides: -37x = 1332", "Divide both sides by -37: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 38x + 1332", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 1332, \"x\": -36}", "seed": "5607472502545896530", "semantic_fingerprint": "sha256:09b99bba7dee2c89325c4c5c0c8bf24f3afd48d4838515e8889760d29de59283", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001770", "prompt": "Compute: -5469 - (8598 + (-8523))", "solution_steps": ["Add: 8598 + (-8523) = 75", "Subtract: -5469 - 75 = -5544"], "final_answer": "-5544", "answer_type": "integer", "kind": "expression", "math_text": "-5469 - (8598 + (-8523))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5469, \"b\": 8598, \"c\": -8523}", "seed": "5325738461106473598", "semantic_fingerprint": "sha256:0a1cab027fee14c3ed707c38807b834b5c03753bc6e2ae9fd5ce7f456cbe76df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001771", "prompt": "Solve for x: x + 98128 = 19x + 96418", "solution_steps": ["Subtract 19x from both sides: -18x + 98128 = 96418", "Subtract 98128 from both sides: -18x = -1710", "Divide both sides by -18: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 98128 = 19x + 96418", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 98128, \"b\": 19, \"d\": 96418, \"x\": 95}", "seed": "18309294811707304456", "semantic_fingerprint": "sha256:646186e33c8b5366e92318e95d92e8eeba4c16c4dcaa2c7610f81e6e61ac09eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001772", "prompt": "Solve for x: x - 22972 = 19(x + 2648) - 75534", "solution_steps": ["Expand: x - 22972 = 19x + 50312 - 75534", "Combine constants: x - 22972 = 19x - 25222", "Subtract 19x from both sides: -18x - 22972 = -25222", "Add 22972 to both sides: -18x = -2250", "Divide both sides by -18: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 22972 = 19(x + 2648) - 75534", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22972, \"b\": 19, \"c\": 2648, \"e\": -75534, \"x\": 125}", "seed": "16186447562046337864", "semantic_fingerprint": "sha256:b6178b6acae1692ddc47587c028eb83258ae07399e790c42ccbabf2e4151aa14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001773", "prompt": "Calculate: 8678 - 3080", "solution_steps": ["Subtract: 8678 - 3080 = 5598"], "final_answer": "5598", "answer_type": "integer", "kind": "expression", "math_text": "8678 - 3080", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8678, \"b\": 3080}", "seed": "8468215125960123054", "semantic_fingerprint": "sha256:1711949312e959f92667e5a6218d6c253e381a77814d5a3efd5d1f8a4e8a127c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001774", "prompt": "Compute: -2921 * (-43426) + (-1986)", "solution_steps": ["Multiply: -2921 * (-43426) = 126847346", "Add: 126847346 + (-1986) = 126845360"], "final_answer": "126845360", "answer_type": "integer", "kind": "expression", "math_text": "-2921 * (-43426) + (-1986)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2921, \"b\": -43426, \"c\": -1986}", "seed": "751729570199087456", "semantic_fingerprint": "sha256:e5cceb93768a94e356d498de6229501cf8992b25c31173ed7a06e55bd03c8393", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001775", "prompt": "Evaluate: 2776 * 92034", "solution_steps": ["Multiply: 2776 * 92034 = 255486384"], "final_answer": "255486384", "answer_type": "integer", "kind": "expression", "math_text": "2776 * 92034", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2776, \"b\": 92034}", "seed": "5457917682544059524", "semantic_fingerprint": "sha256:b0a6e17c1eafcc5ca62b70f5f13144d132a96c82b9154535f1e07697e2689165", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001776", "prompt": "Compute: (-1190 + 1408 / 7332) * (-33915 + (-3499))", "solution_steps": ["Divide: 1408 / 7332 = 352/1833", "Add: -1190 + 352/1833 = -2180918/1833", "Add: -33915 + (-3499) = -37414", "Multiply: (-2180918/1833) * (-37414) = 6276682004/141"], "final_answer": "6276682004/141", "answer_type": "rational", "kind": "expression", "math_text": "(-1190 + 1408 / 7332) * (-33915 + (-3499))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1190, \"b\": 1408, \"c\": 7332, \"d\": -33915, \"e\": -3499}", "seed": "3132656246834535437", "semantic_fingerprint": "sha256:023cbc91adfc0be3a02879779d2ed1d472a55cfaef5f972dbf3385e4fd588311", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001777", "prompt": "Solve the equation x = -24x + 2725 for x.", "solution_steps": ["Add 24x to both sides: 25x = 2725", "Divide both sides by 25: x = 109"], "final_answer": "109", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -24x + 2725", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24, \"c\": 2725, \"x\": 109}", "seed": "11878010828643843161", "semantic_fingerprint": "sha256:1db70c80db7c51fb5dd8dd7dcae96e68ba5b7e7e545d3f7869f0ab40040ccbbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001778", "prompt": "What value of x satisfies x = -23(x + 1743)?", "solution_steps": ["Expand: x = -23x - 40089", "Add 23x to both sides: 24x = -40089", "Divide both sides by 24: x = -13363/8"], "final_answer": "-13363/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -23(x + 1743)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 1743}", "seed": "16808279056541034009", "semantic_fingerprint": "sha256:0acf5ad5f37c498b673f1311834f50a69662851cf98b343c8ae3f63cc7761b5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001779", "prompt": "What value of x satisfies -40x = 33x + 10658?", "solution_steps": ["Subtract 33x from both sides: -73x = 10658", "Divide both sides by -73: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40x = 33x + 10658", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 33, \"d\": 10658, \"x\": -146}", "seed": "3837881543981901341", "semantic_fingerprint": "sha256:787ad8bc964f74687bfc9be3f9aa7b1077fda3de55d366e7bab01e5a7833d6a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001780", "prompt": "Compute: (6698 + (-8312)) * 9751", "solution_steps": ["Add: 6698 + (-8312) = -1614", "Multiply: -1614 * 9751 = -15738114"], "final_answer": "-15738114", "answer_type": "integer", "kind": "expression", "math_text": "(6698 + (-8312)) * 9751", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6698, \"b\": -8312, \"c\": 9751}", "seed": "1365046160632772671", "semantic_fingerprint": "sha256:3bd1c20a124a8ed9789057b1944ede76a469a760f76d08ea8880d7ebd50b293a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001781", "prompt": "Calculate: -1559 * (-36039 + (-49589) - (-16705))", "solution_steps": ["Add: -36039 + (-49589) = -85628", "Subtract: -85628 - (-16705) = -68923", "Multiply: -1559 * (-68923) = 107450957"], "final_answer": "107450957", "answer_type": "integer", "kind": "expression", "math_text": "-1559 * (-36039 + (-49589) - (-16705))", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1559, \"b\": -36039, \"c\": -49589, \"d\": -16705}", "seed": "5800150991654338657", "semantic_fingerprint": "sha256:6e47c8dfcbac205b32ee115cfad5360b64a831414246892278318d575834c0fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001782", "prompt": "Calculate: -1533 - 77403 + 89996 / (-8765)", "solution_steps": ["Subtract: -1533 - 77403 = -78936", "Divide: 89996 / (-8765) = -89996/8765", "Add: -78936 + (-89996/8765) = -691964036/8765"], "final_answer": "-691964036/8765", "answer_type": "rational", "kind": "expression", "math_text": "-1533 - 77403 + 89996 / (-8765)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1533, \"b\": 77403, \"c\": 89996, \"d\": -8765}", "seed": "6928560338631138160", "semantic_fingerprint": "sha256:f0ba54527405b239af43ee0a09798e2dc7b8282c1fcb14391db5cdbea186f540", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001783", "prompt": "Calculate: -39381 + (-2028) - (-9144) * 17476", "solution_steps": ["Add: -39381 + (-2028) = -41409", "Multiply: -9144 * 17476 = -159800544", "Subtract: -41409 - (-159800544) = 159759135"], "final_answer": "159759135", "answer_type": "integer", "kind": "expression", "math_text": "-39381 + (-2028) - (-9144) * 17476", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39381, \"b\": -2028, \"c\": -9144, \"d\": 17476}", "seed": "5581683087073461749", "semantic_fingerprint": "sha256:33fb440ae6580b0f7dda36ef3dd8a00fdfb3cccf4ee456ccd2b2088d07fef9b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001784", "prompt": "Find x: 18x = -1026", "solution_steps": ["Divide both sides by 18: x = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = -1026", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": -1026, \"x\": -57}", "seed": "178612428353095176", "semantic_fingerprint": "sha256:d9b896cf0bb134d3ec24073bffbff8dc7d089fa702040eb999a5190ca0da8695", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001785", "prompt": "What is 5785 - (-90449) + (-7860 - (-62207) + 17669)?", "solution_steps": ["Subtract: 5785 - (-90449) = 96234", "Subtract: -7860 - (-62207) = 54347", "Add: 54347 + 17669 = 72016", "Add: 96234 + 72016 = 168250"], "final_answer": "168250", "answer_type": "integer", "kind": "expression", "math_text": "5785 - (-90449) + (-7860 - (-62207) + 17669)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5785, \"b\": -90449, \"c\": -7860, \"d\": -62207, \"e\": 17669}", "seed": "18183534404934802263", "semantic_fingerprint": "sha256:67c601af774d4d57344764a4c1317ed7f3f9d39ca97fdd638eec5ced97827afe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001786", "prompt": "Solve for x: 25x - 4488 = x", "solution_steps": ["Subtract x from both sides: 24x - 4488 = 0", "Add 4488 to both sides: 24x = 4488", "Divide both sides by 24: x = 187"], "final_answer": "187", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x - 4488 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"c\": -4488, \"x\": 187}", "seed": "14136341716726120405", "semantic_fingerprint": "sha256:1d8fb04278dc8fbe2a6e6840814b600fb38f5a613cfe59e29fca64b04f520c50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001787", "prompt": "Solve for x: 19(x - 4178) + 81713 = 40x", "solution_steps": ["Expand: 19x - 79382 + 81713 = 40x", "Combine constants: 19x + 2331 = 40x", "Subtract 40x from both sides: -21x + 2331 = 0", "Subtract 2331 from both sides: -21x = -2331", "Divide both sides by -21: x = 111"], "final_answer": "111", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 4178) + 81713 = 40x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 4178, \"c\": 40, \"e\": 81713, \"x\": 111}", "seed": "5968609040053860198", "semantic_fingerprint": "sha256:3dd0e9a59201fae36aaf9f3c95c5ced077ceba5cf33c666c2d465839aaee11b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001788", "prompt": "What value of x satisfies -25(x + 7772) = x?", "solution_steps": ["Expand: -25x - 194300 = x", "Subtract x from both sides: -26x - 194300 = 0", "Add 194300 to both sides: -26x = 194300", "Divide both sides by -26: x = -97150/13"], "final_answer": "-97150/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 7772) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 7772}", "seed": "4860144152130821347", "semantic_fingerprint": "sha256:202684725adc7e5a594d5b03f8e33b2f796ccb844aa5c0ab14822dc62e694391", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001789", "prompt": "What is 5601 - 5267 + 43615 + (-5242) / (-9646)?", "solution_steps": ["Subtract: 5601 - 5267 = 334", "Add: 334 + 43615 = 43949", "Divide: -5242 / (-9646) = 2621/4823", "Add: 43949 + 2621/4823 = 211968648/4823"], "final_answer": "211968648/4823", "answer_type": "rational", "kind": "expression", "math_text": "5601 - 5267 + 43615 + (-5242) / (-9646)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5601, \"b\": 5267, \"c\": 43615, \"d\": -5242, \"e\": -9646}", "seed": "16536343285133558324", "semantic_fingerprint": "sha256:dd0bd62f9c4396db8f1451e6017709c056571e61c9ee2542810410257998ccac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001790", "prompt": "Find x: 21x + 3035 = -27(x - 3601)", "solution_steps": ["Expand: 21x + 3035 = -27x + 97227", "Add 27x to both sides: 48x + 3035 = 97227", "Subtract 3035 from both sides: 48x = 94192", "Divide both sides by 48: x = 5887/3"], "final_answer": "5887/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x + 3035 = -27(x - 3601)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 3035, \"c\": -27, \"d\": 3601}", "seed": "15098972354866896496", "semantic_fingerprint": "sha256:7b6f5faf3e774289d08e90a2410f10496bcb6c9cf2b3d24fc029b61d8f6b3e13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001791", "prompt": "Compute: 1238 * (-2122 / (-1476)) - (-7676)", "solution_steps": ["Divide: -2122 / (-1476) = 1061/738", "Multiply: 1238 * (1061/738) = 656759/369", "Subtract: 656759/369 - (-7676) = 3489203/369"], "final_answer": "3489203/369", "answer_type": "rational", "kind": "expression", "math_text": "1238 * (-2122 / (-1476)) - (-7676)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1238, \"b\": -2122, \"c\": -1476, \"d\": -7676}", "seed": "6964426207834461200", "semantic_fingerprint": "sha256:cbd8537dc4bd6e639158622cd0ddb63586090ca234c04990715c11503a9bf3a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001792", "prompt": "Solve for x: 27(x + 2629) = x", "solution_steps": ["Expand: 27x + 70983 = x", "Subtract x from both sides: 26x + 70983 = 0", "Subtract 70983 from both sides: 26x = -70983", "Divide both sides by 26: x = -70983/26"], "final_answer": "-70983/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 2629) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 2629}", "seed": "3675834566352996053", "semantic_fingerprint": "sha256:c63b068998e75e4c141e13bcbc57308a1ac6cca282bc42112c6d4d860c3a82f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001793", "prompt": "Compute: 2191 + (-4715) / (-2649 / (-6262))", "solution_steps": ["Divide: -2649 / (-6262) = 2649/6262", "Divide: -4715 / (2649/6262) = -29525330/2649", "Add: 2191 + (-29525330/2649) = -23721371/2649"], "final_answer": "-23721371/2649", "answer_type": "rational", "kind": "expression", "math_text": "2191 + (-4715) / (-2649 / (-6262))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2191, \"b\": -4715, \"c\": -2649, \"d\": -6262}", "seed": "17827501229170448072", "semantic_fingerprint": "sha256:827927b2402f2c2bfde355dce10196507c6913667248d422321786ab58ac5777", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001794", "prompt": "Evaluate: -62891 + (-31607) + 5272", "solution_steps": ["Add: -62891 + (-31607) = -94498", "Add: -94498 + 5272 = -89226"], "final_answer": "-89226", "answer_type": "integer", "kind": "expression", "math_text": "-62891 + (-31607) + 5272", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62891, \"b\": -31607, \"c\": 5272}", "seed": "12811001154711461244", "semantic_fingerprint": "sha256:d706043497220e47e861dab35af2ecd7b36188eedc5fd5cbbcd10eb973bc45bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001795", "prompt": "Solve for x: 14(x + 44280) - 81900 = 32x - 7876", "solution_steps": ["Expand: 14x + 619920 - 81900 = 32x - 7876", "Combine constants: 14x + 538020 = 32x - 7876", "Subtract 32x from both sides: -18x + 538020 = -7876", "Subtract 538020 from both sides: -18x = -545896", "Divide both sides by -18: x = 272948/9"], "final_answer": "272948/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 44280) - 81900 = 32x - 7876", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 44280, \"c\": 81900, \"d\": 32, \"e\": 7876}", "seed": "7409526111737758680", "semantic_fingerprint": "sha256:4b6fa86283bf62487400350d6bf3e5d122807156722671ff7a232a2cb74c023c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001796", "prompt": "Solve for x: 17x = 20x", "solution_steps": ["Subtract 20x from both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x = 20x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 20}", "seed": "5508316282129304949", "semantic_fingerprint": "sha256:6c9e6f75c91e8f747ad4e8c9a103c5f995e96d0c5b2a1189acf2e26e669ac541", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001797", "prompt": "Evaluate: 5669 / (-91333)", "solution_steps": ["Divide: 5669 / (-91333) = -5669/91333"], "final_answer": "-5669/91333", "answer_type": "rational", "kind": "expression", "math_text": "5669 / (-91333)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5669, \"b\": -91333}", "seed": "4932309628108456372", "semantic_fingerprint": "sha256:69a0b47b05632cfd11e2f2bc37334d65a09566f32ecde77e76161588b8e50363", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001798", "prompt": "Compute: -36611 - (-8869 - (-9612))", "solution_steps": ["Subtract: -8869 - (-9612) = 743", "Subtract: -36611 - 743 = -37354"], "final_answer": "-37354", "answer_type": "integer", "kind": "expression", "math_text": "-36611 - (-8869 - (-9612))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36611, \"b\": -8869, \"c\": -9612}", "seed": "3304461007262606184", "semantic_fingerprint": "sha256:243674968736e58ce3761dcf7738f4f3c5f1218463453829ff87042c98929623", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001799", "prompt": "Find x: 18x = 20(x + 17361)", "solution_steps": ["Expand: 18x = 20x + 347220", "Subtract 20x from both sides: -2x = 347220", "Divide both sides by -2: x = -173610"], "final_answer": "-173610", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = 20(x + 17361)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 20, \"c\": 17361}", "seed": "13507430901164216335", "semantic_fingerprint": "sha256:1121a85b79427fd5d4bf38853c3c19e6b5f17417ad689f9cdc3a993842a8470e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001800", "prompt": "Solve for x: 25(x - 15795) = x", "solution_steps": ["Expand: 25x - 394875 = x", "Subtract x from both sides: 24x - 394875 = 0", "Add 394875 to both sides: 24x = 394875", "Divide both sides by 24: x = 131625/8"], "final_answer": "131625/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 15795) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 15795}", "seed": "1246332287586721294", "semantic_fingerprint": "sha256:13346b76ad60a022f39f31dba8048fcbce91420dc0c84dae005ad1ec64005b43", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001801", "prompt": "Find x: x = 32x", "solution_steps": ["Subtract 32x from both sides: -31x = 0", "Divide both sides by -31: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 32x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32}", "seed": "11466153226027275371", "semantic_fingerprint": "sha256:b717f051845eba25560cadb424ca04dd24e1f2642887fad2055d7ecfbbdb3bd7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001802", "prompt": "Evaluate: (-12059 - 92665 - (-6794)) / (-2490)", "solution_steps": ["Subtract: -12059 - 92665 = -104724", "Subtract: -104724 - (-6794) = -97930", "Divide: -97930 / (-2490) = 9793/249"], "final_answer": "9793/249", "answer_type": "rational", "kind": "expression", "math_text": "(-12059 - 92665 - (-6794)) / (-2490)", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -12059, \"b\": 92665, \"c\": -6794, \"d\": -2490}", "seed": "6421311700289892859", "semantic_fingerprint": "sha256:65c480b7cfbc9c73b6689f172d875ccaa0e6b232dd9aea6a9612fb93c7b6b05d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001803", "prompt": "Calculate: 93861 - (-46703) + (-7404) * (-31810 / (-6701))", "solution_steps": ["Subtract: 93861 - (-46703) = 140564", "Divide: -31810 / (-6701) = 31810/6701", "Multiply: -7404 * (31810/6701) = -235521240/6701", "Add: 140564 + (-235521240/6701) = 706398124/6701"], "final_answer": "706398124/6701", "answer_type": "rational", "kind": "expression", "math_text": "93861 - (-46703) + (-7404) * (-31810 / (-6701))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 93861, \"b\": -46703, \"c\": -7404, \"d\": -31810, \"e\": -6701}", "seed": "5752992936761035236", "semantic_fingerprint": "sha256:b179a0fbbb2864fcf48e83001b6bebf19652eb21a6f03d3ef9507cda3d1ad895", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001804", "prompt": "Solve for x: -17x + 63525 = 15(x + 3979)", "solution_steps": ["Expand: -17x + 63525 = 15x + 59685", "Subtract 15x from both sides: -32x + 63525 = 59685", "Subtract 63525 from both sides: -32x = -3840", "Divide both sides by -32: x = 120"], "final_answer": "120", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x + 63525 = 15(x + 3979)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 15, \"c\": 3979, \"e\": 63525, \"x\": 120}", "seed": "177195594465449638", "semantic_fingerprint": "sha256:a7199666f64b6bce752008a4256a40557532b8ab4e2325c12fb4b6dce10e4990", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001805", "prompt": "Find x: x = 30(x - 9375)", "solution_steps": ["Expand: x = 30x - 281250", "Subtract 30x from both sides: -29x = -281250", "Divide both sides by -29: x = 281250/29"], "final_answer": "281250/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 30(x - 9375)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 9375}", "seed": "12172591831297177839", "semantic_fingerprint": "sha256:b7ff03ecdbbd56ea693e75701134cd9431f4bb67d6e6e09ab4e60cbeb95e4491", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001806", "prompt": "What is (3545 + 5675 - (-5474)) * 6371?", "solution_steps": ["Add: 3545 + 5675 = 9220", "Subtract: 9220 - (-5474) = 14694", "Multiply: 14694 * 6371 = 93615474"], "final_answer": "93615474", "answer_type": "integer", "kind": "expression", "math_text": "(3545 + 5675 - (-5474)) * 6371", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3545, \"b\": 5675, \"c\": -5474, \"d\": 6371}", "seed": "18126778990550137420", "semantic_fingerprint": "sha256:ba62c68cbbd7850d5bd83c76a1a0aeeddfb851764823cbc5b673c2f22aeb745d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001807", "prompt": "Find x: 15x = x + 1414", "solution_steps": ["Subtract x from both sides: 14x = 1414", "Divide both sides by 14: x = 101"], "final_answer": "101", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x = x + 1414", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"c\": 1414, \"x\": 101}", "seed": "16504790743697087581", "semantic_fingerprint": "sha256:2be7ee596089ed480afef0b8860471486a68ab94366a6a8513700ed8a5d8f2ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001808", "prompt": "Evaluate: -1106 + (-32169)", "solution_steps": ["Add: -1106 + (-32169) = -33275"], "final_answer": "-33275", "answer_type": "integer", "kind": "expression", "math_text": "-1106 + (-32169)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1106, \"b\": -32169}", "seed": "12915786060938369887", "semantic_fingerprint": "sha256:7952f26eca2a9bd472a85d1d2390ce35f5d3cbde5134475c4add43d6d119504c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001809", "prompt": "Find x: 19x + 5798 = 25(x + 1952) - 42228", "solution_steps": ["Expand: 19x + 5798 = 25x + 48800 - 42228", "Combine constants: 19x + 5798 = 25x + 6572", "Subtract 25x from both sides: -6x + 5798 = 6572", "Subtract 5798 from both sides: -6x = 774", "Divide both sides by -6: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 5798 = 25(x + 1952) - 42228", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 5798, \"c\": 25, \"d\": 1952, \"f\": -42228, \"x\": -129}", "seed": "8664783244743283034", "semantic_fingerprint": "sha256:3e31b2ad1f95d5dde077a283bdee8b3456686a0d310b220caead33b01fe2edfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001810", "prompt": "Solve the equation x - 5071 = 39x + 22415 for x.", "solution_steps": ["Subtract 39x from both sides: -38x - 5071 = 22415", "Add 5071 to both sides: -38x = 27486", "Divide both sides by -38: x = -13743/19"], "final_answer": "-13743/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5071 = 39x + 22415", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5071, \"b\": 39, \"c\": 22415}", "seed": "16828703762306534416", "semantic_fingerprint": "sha256:1768d2bfbf9ab4be9853e4cb6c724fb7edba07a4701965f9ddb56f2395073c36", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001811", "prompt": "Solve the equation 40x + 6119 = x + 2999 for x.", "solution_steps": ["Subtract x from both sides: 39x + 6119 = 2999", "Subtract 6119 from both sides: 39x = -3120", "Divide both sides by 39: x = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 6119 = x + 2999", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 6119, \"d\": 2999, \"x\": -80}", "seed": "1533912868884829227", "semantic_fingerprint": "sha256:d5b546c1a53144544731d3e5a4b0fd2e82fc356b2ba8b8db74b791c5bfcfe6c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001812", "prompt": "Solve the equation -24x = 23(x + 8649) for x.", "solution_steps": ["Expand: -24x = 23x + 198927", "Subtract 23x from both sides: -47x = 198927", "Divide both sides by -47: x = -198927/47"], "final_answer": "-198927/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x = 23(x + 8649)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 23, \"c\": 8649}", "seed": "747102732941776447", "semantic_fingerprint": "sha256:48182f4f1c8cdaa521cdbf33e39fae30316f2914960a37f52a6fb04d3141070d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001813", "prompt": "Evaluate: -1941 - (-26849) + (-60610)", "solution_steps": ["Subtract: -1941 - (-26849) = 24908", "Add: 24908 + (-60610) = -35702"], "final_answer": "-35702", "answer_type": "integer", "kind": "expression", "math_text": "-1941 - (-26849) + (-60610)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1941, \"b\": -26849, \"c\": -60610}", "seed": "4675650760583412999", "semantic_fingerprint": "sha256:e899f8525e2c33a65ad6417bf91e45f95dd4cba79cd87356bcc620b51c4bff8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001814", "prompt": "Find x: x = -20(x - 62239)", "solution_steps": ["Expand: x = -20x + 1244780", "Add 20x to both sides: 21x = 1244780", "Divide both sides by 21: x = 1244780/21"], "final_answer": "1244780/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -20(x - 62239)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 62239}", "seed": "8225816185461134398", "semantic_fingerprint": "sha256:8e0103ad6969ba12eef30ab8217eabf0eb9b2b26766507d502c84ab42be081b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001815", "prompt": "What value of x satisfies -39x = 34x + 10804?", "solution_steps": ["Subtract 34x from both sides: -73x = 10804", "Divide both sides by -73: x = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x = 34x + 10804", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 34, \"d\": 10804, \"x\": -148}", "seed": "999906950652820668", "semantic_fingerprint": "sha256:3b1d5664b3794a45a44383fce408a81cd3ea0a1bccd1e869943ac245fbb773bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001816", "prompt": "Solve for x: 38(x - 6294) = 30(x + 68710)", "solution_steps": ["Expand: 38x - 239172 = 30(x + 68710)", "Expand: 38x - 239172 = 30x + 2061300", "Subtract 30x from both sides: 8x - 239172 = 2061300", "Add 239172 to both sides: 8x = 2300472", "Divide both sides by 8: x = 287559"], "final_answer": "287559", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x - 6294) = 30(x + 68710)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 6294, \"c\": 30, \"d\": 68710}", "seed": "3303139798720363307", "semantic_fingerprint": "sha256:766d588728a6478e48653b1dc88d16d8972a096132df1ca5f9efe92a3cfa3273", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001817", "prompt": "Solve the equation -19(x - 4291) - 37575 = x for x.", "solution_steps": ["Expand: -19x + 81529 - 37575 = x", "Combine constants: -19x + 43954 = x", "Subtract x from both sides: -20x + 43954 = 0", "Subtract 43954 from both sides: -20x = -43954", "Divide both sides by -20: x = 21977/10"], "final_answer": "21977/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 4291) - 37575 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 4291, \"c\": 37575}", "seed": "9969744011039819254", "semantic_fingerprint": "sha256:d6c75d2eb40656979e7d65e4d090988179219fac3ed2ce1515b8c2b85635ef10", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001818", "prompt": "Solve for x: -40(x + 51996) + 8708 = 19x + 5379", "solution_steps": ["Expand: -40x - 2079840 + 8708 = 19x + 5379", "Combine constants: -40x - 2071132 = 19x + 5379", "Subtract 19x from both sides: -59x - 2071132 = 5379", "Add 2071132 to both sides: -59x = 2076511", "Divide both sides by -59: x = -2076511/59"], "final_answer": "-2076511/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 51996) + 8708 = 19x + 5379", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 51996, \"c\": 8708, \"d\": 19, \"e\": 5379}", "seed": "9978544353275718755", "semantic_fingerprint": "sha256:85560bd1cb28f18b6de414121a96d02783fa62506979c242cb0e9ad7d92b48d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001819", "prompt": "Compute: -5616 / 1235 - (-51796 - 3103)", "solution_steps": ["Divide: -5616 / 1235 = -432/95", "Subtract: -51796 - 3103 = -54899", "Subtract: -432/95 - (-54899) = 5214973/95"], "final_answer": "5214973/95", "answer_type": "rational", "kind": "expression", "math_text": "-5616 / 1235 - (-51796 - 3103)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5616, \"b\": 1235, \"c\": -51796, \"d\": 3103}", "seed": "10905037467933520623", "semantic_fingerprint": "sha256:e3e62e549b95a4bfccc78a2e6b3bdbb7dd79f5269a4764cdfd613683205d4c06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001820", "prompt": "Compute: -1265 - (-5331)", "solution_steps": ["Subtract: -1265 - (-5331) = 4066"], "final_answer": "4066", "answer_type": "integer", "kind": "expression", "math_text": "-1265 - (-5331)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1265, \"b\": -5331}", "seed": "11504563344919835315", "semantic_fingerprint": "sha256:226e4baa2be7877ade3301476840cd0831af5ff32858ac6eeabfb16eca8ee283", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001821", "prompt": "What value of x satisfies x + 70026 = 32(x + 99238) - 91404?", "solution_steps": ["Expand: x + 70026 = 32x + 3175616 - 91404", "Combine constants: x + 70026 = 32x + 3084212", "Subtract 32x from both sides: -31x + 70026 = 3084212", "Subtract 70026 from both sides: -31x = 3014186", "Divide both sides by -31: x = -3014186/31"], "final_answer": "-3014186/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 70026 = 32(x + 99238) - 91404", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 70026, \"b\": 32, \"c\": 99238, \"d\": 91404}", "seed": "14980193181916703982", "semantic_fingerprint": "sha256:a3b3681a7b236d754127d8f570ff22cf40d85a25b8a2f45dfba03997cb2fe70f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001822", "prompt": "Evaluate: 9286 - 69661 - (-26198)", "solution_steps": ["Subtract: 9286 - 69661 = -60375", "Subtract: -60375 - (-26198) = -34177"], "final_answer": "-34177", "answer_type": "integer", "kind": "expression", "math_text": "9286 - 69661 - (-26198)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9286, \"b\": 69661, \"c\": -26198}", "seed": "12226914013409436320", "semantic_fingerprint": "sha256:1c91bcc775675b447ceadf9574eb17e3c177fff49d3bbd5017f28f55a3f7aa43", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001823", "prompt": "What value of x satisfies x = 13x?", "solution_steps": ["Subtract 13x from both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 13x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13}", "seed": "4915834152533839467", "semantic_fingerprint": "sha256:c5d9cfb1b531be00600f5eeb0d0b2b11729dbf3ea26bb28034e8bcd8cb24d497", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001824", "prompt": "What value of x satisfies 18x = x?", "solution_steps": ["Subtract x from both sides: 17x = 0", "Divide both sides by 17: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18}", "seed": "4204224794093277212", "semantic_fingerprint": "sha256:515d6268cd7d428c8fd4ba04d9eeb6950ae475a520dda2ccf026f486fca21071", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001825", "prompt": "Evaluate: (-6791 + (-92021)) / (31548 / 6160 - 4749)", "solution_steps": ["Add: -6791 + (-92021) = -98812", "Divide: 31548 / 6160 = 717/140", "Subtract: 717/140 - 4749 = -664143/140", "Divide: -98812 / (-664143/140) = 13833680/664143"], "final_answer": "13833680/664143", "answer_type": "rational", "kind": "expression", "math_text": "(-6791 + (-92021)) / (31548 / 6160 - 4749)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6791, \"b\": -92021, \"c\": 31548, \"d\": 6160, \"e\": 4749}", "seed": "14192348553225587085", "semantic_fingerprint": "sha256:7f1eb03aaa583589e72ca385379f9f28f7367a5275c89b3d6afe5ab3ce689fdd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001826", "prompt": "Solve for x: 21(x + 80955) = 39x + 8001", "solution_steps": ["Expand: 21x + 1700055 = 39x + 8001", "Subtract 39x from both sides: -18x + 1700055 = 8001", "Subtract 1700055 from both sides: -18x = -1692054", "Divide both sides by -18: x = 94003"], "final_answer": "94003", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 80955) = 39x + 8001", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 80955, \"c\": 39, \"d\": 8001}", "seed": "6976807517112740253", "semantic_fingerprint": "sha256:81c922666eb382da121772f9f2f1d86480fbe325b966a2b2c8af3989c493a0b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001827", "prompt": "What is -43690 - 4187?", "solution_steps": ["Subtract: -43690 - 4187 = -47877"], "final_answer": "-47877", "answer_type": "integer", "kind": "expression", "math_text": "-43690 - 4187", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -43690, \"b\": 4187}", "seed": "3367973391120220866", "semantic_fingerprint": "sha256:0d67db16ad259ed29a443552ab437276178ea0084f217a09a937b8b539c63783", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001828", "prompt": "What value of x satisfies -25(x - 5669) = -13(x + 15817) + 9697?", "solution_steps": ["Expand: -25x + 141725 = -13(x + 15817) + 9697", "Expand: -25x + 141725 = -13x - 205621 + 9697", "Combine constants: -25x + 141725 = -13x - 195924", "Add 13x to both sides: -12x + 141725 = -195924", "Subtract 141725 from both sides: -12x = -337649", "Divide both sides by -12: x = 337649/12"], "final_answer": "337649/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 5669) = -13(x + 15817) + 9697", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 5669, \"c\": -13, \"d\": 15817, \"e\": 9697}", "seed": "404004970188897415", "semantic_fingerprint": "sha256:0828690980489865150eadb2df8750240655a29464dc686d7ef9d7624628131b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001829", "prompt": "Find x: 26x - 55636 = -37(x - 5245) + 10230", "solution_steps": ["Expand: 26x - 55636 = -37x + 194065 + 10230", "Combine constants: 26x - 55636 = -37x + 204295", "Add 37x to both sides: 63x - 55636 = 204295", "Add 55636 to both sides: 63x = 259931", "Divide both sides by 63: x = 37133/9"], "final_answer": "37133/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x - 55636 = -37(x - 5245) + 10230", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 55636, \"c\": -37, \"d\": 5245, \"e\": 10230}", "seed": "17179698557960181101", "semantic_fingerprint": "sha256:90daa862c7993727a5af75e472cb55ec45556356569cda04a4baf934400df346", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001830", "prompt": "Find x: 21(x + 1200) = 15x + 98643", "solution_steps": ["Expand: 21x + 25200 = 15x + 98643", "Subtract 15x from both sides: 6x + 25200 = 98643", "Subtract 25200 from both sides: 6x = 73443", "Divide both sides by 6: x = 24481/2"], "final_answer": "24481/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 1200) = 15x + 98643", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 1200, \"c\": 15, \"d\": 98643}", "seed": "17663379807496609645", "semantic_fingerprint": "sha256:43bcf7ed9f467cfe2b0568ffaff80b3fe161feb5d24e15ccac3345a2fe81d2fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001831", "prompt": "Solve the equation 17(x + 7542) + 18543 = 37x + 89660 for x.", "solution_steps": ["Expand: 17x + 128214 + 18543 = 37x + 89660", "Combine constants: 17x + 146757 = 37x + 89660", "Subtract 37x from both sides: -20x + 146757 = 89660", "Subtract 146757 from both sides: -20x = -57097", "Divide both sides by -20: x = 57097/20"], "final_answer": "57097/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 7542) + 18543 = 37x + 89660", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 7542, \"c\": 18543, \"d\": 37, \"e\": 89660}", "seed": "14703076754377252585", "semantic_fingerprint": "sha256:ead3921ed01c23c1626f7a6e84cd6b5e07645e4e984dc71d3c4ae7047155c0e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001832", "prompt": "Solve the equation 24(x + 2534) - 1759 = 63401 for x.", "solution_steps": ["Expand: 24x + 60816 - 1759 = 63401", "Combine constants: 24x + 59057 = 63401", "Subtract 59057 from both sides: 24x = 4344", "Divide both sides by 24: x = 181"], "final_answer": "181", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x + 2534) - 1759 = 63401", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2534, \"c\": 1759, \"e\": 63401, \"x\": 181}", "seed": "18171765575953740786", "semantic_fingerprint": "sha256:0109936442aeb8d35cf343e046f237fcb15c4a302cc6a2e296d99a5caeca07c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001833", "prompt": "Solve for x: 32x + 33801 = x + 31662", "solution_steps": ["Subtract x from both sides: 31x + 33801 = 31662", "Subtract 33801 from both sides: 31x = -2139", "Divide both sides by 31: x = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 33801 = x + 31662", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 33801, \"d\": 31662, \"x\": -69}", "seed": "9753409031088829964", "semantic_fingerprint": "sha256:ebe329941f604e1b3b14e8ab48b331f3e43d7e02794280a71b47c7a32e20faab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001834", "prompt": "Compute: 4377 / (-43515) * (6859 + 7590)", "solution_steps": ["Divide: 4377 / (-43515) = -1459/14505", "Add: 6859 + 7590 = 14449", "Multiply: (-1459/14505) * 14449 = -21081091/14505"], "final_answer": "-21081091/14505", "answer_type": "rational", "kind": "expression", "math_text": "4377 / (-43515) * (6859 + 7590)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4377, \"b\": -43515, \"c\": 6859, \"d\": 7590}", "seed": "9220727814053945670", "semantic_fingerprint": "sha256:0fb27f2735638426c566a1668c9a904ff949cbbad6eca227787792ed13a79bcb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001835", "prompt": "What is 71612 * (-6040) - (-61897) + (87073 + 2896)?", "solution_steps": ["Multiply: 71612 * (-6040) = -432536480", "Subtract: -432536480 - (-61897) = -432474583", "Add: 87073 + 2896 = 89969", "Add: -432474583 + 89969 = -432384614"], "final_answer": "-432384614", "answer_type": "integer", "kind": "expression", "math_text": "71612 * (-6040) - (-61897) + (87073 + 2896)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 71612, \"b\": -6040, \"c\": -61897, \"d\": 87073, \"e\": 2896}", "seed": "1800105803590881010", "semantic_fingerprint": "sha256:b6c1af667b33e48362408ab6df930b9a9450feda5570730aef81e14cd27fc213", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001836", "prompt": "What is -8606 + (64921 + (68308 - 1297)) / (-35343)?", "solution_steps": ["Subtract: 68308 - 1297 = 67011", "Add: 64921 + 67011 = 131932", "Divide: 131932 / (-35343) = -131932/35343", "Add: -8606 + (-131932/35343) = -304293790/35343"], "final_answer": "-304293790/35343", "answer_type": "rational", "kind": "expression", "math_text": "-8606 + (64921 + (68308 - 1297)) / (-35343)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8606, \"b\": 64921, \"c\": 68308, \"d\": 1297, \"e\": -35343}", "seed": "16839464993975246916", "semantic_fingerprint": "sha256:ad28b1a4cd345457f8f37e401ca0eebc515b2a0cd42644fa81478be6bbf2a4bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001837", "prompt": "What value of x satisfies 30(x + 7503) = 33x + 65310?", "solution_steps": ["Expand: 30x + 225090 = 33x + 65310", "Subtract 33x from both sides: -3x + 225090 = 65310", "Subtract 225090 from both sides: -3x = -159780", "Divide both sides by -3: x = 53260"], "final_answer": "53260", "answer_type": "integer", "kind": "linear_equation", "math_text": "30(x + 7503) = 33x + 65310", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 7503, \"c\": 33, \"d\": 65310}", "seed": "163906742813568876", "semantic_fingerprint": "sha256:3f676ac9b668b5ad8c667ffff62693e4986cc48475d59526f62f9d9c038a97e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001838", "prompt": "Solve the equation x = -34x + 3360 for x.", "solution_steps": ["Add 34x to both sides: 35x = 3360", "Divide both sides by 35: x = 96"], "final_answer": "96", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -34x + 3360", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -34, \"c\": 3360, \"x\": 96}", "seed": "10383066689010848148", "semantic_fingerprint": "sha256:e30dcac956992f9e7fc227e312cdf9355e22f5c8c634a824ab9db95d7083bea4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001839", "prompt": "What is -62798 * 6034?", "solution_steps": ["Multiply: -62798 * 6034 = -378923132"], "final_answer": "-378923132", "answer_type": "integer", "kind": "expression", "math_text": "-62798 * 6034", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -62798, \"b\": 6034}", "seed": "3380165327520013832", "semantic_fingerprint": "sha256:ddc8d6cf7ca46e7d720a3a574b453a7cf861f3a964fc2cad7d6c09b161205ed0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001840", "prompt": "Calculate: 2581 * ((50057 + 9876) / (-26829 + (-6544)))", "solution_steps": ["Add: 50057 + 9876 = 59933", "Add: -26829 + (-6544) = -33373", "Divide: 59933 / (-33373) = -59933/33373", "Multiply: 2581 * (-59933/33373) = -154687073/33373"], "final_answer": "-154687073/33373", "answer_type": "rational", "kind": "expression", "math_text": "2581 * ((50057 + 9876) / (-26829 + (-6544)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2581, \"b\": 50057, \"c\": 9876, \"d\": -26829, \"e\": -6544}", "seed": "12695128647699971475", "semantic_fingerprint": "sha256:1defe94b91c1677a71d523d150b574f4b6f43fabb5bf7442718d71b1ef4bc6fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001841", "prompt": "Solve for x: 31(x + 86649) = x", "solution_steps": ["Expand: 31x + 2686119 = x", "Subtract x from both sides: 30x + 2686119 = 0", "Subtract 2686119 from both sides: 30x = -2686119", "Divide both sides by 30: x = -895373/10"], "final_answer": "-895373/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 86649) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 86649}", "seed": "8211625344309625044", "semantic_fingerprint": "sha256:4ecf62613f40b740e1afd0d793264ca66c4eb86c6a8aad66917082dec40689dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001842", "prompt": "What is -96267 + (-7776) + 3076 - (5177 - (-72352)) / (-1960)?", "solution_steps": ["Add: -96267 + (-7776) = -104043", "Add: -104043 + 3076 = -100967", "Subtract: 5177 - (-72352) = 77529", "Divide: 77529 / (-1960) = -77529/1960", "Subtract: -100967 - (-77529/1960) = -197817791/1960"], "final_answer": "-197817791/1960", "answer_type": "rational", "kind": "expression", "math_text": "-96267 + (-7776) + 3076 - (5177 - (-72352)) / (-1960)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) n) (/ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -96267, \"b\": -7776, \"c\": 3076, \"d\": 5177, \"e\": -72352, \"f\": -1960}", "seed": "83966439423050436", "semantic_fingerprint": "sha256:6610f509b7f61e3d1dc987a7c38214972d23827e7ef5df311a9b323648773ac3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001843", "prompt": "Solve for x: 40(x + 41142) - 6534 = -39x - 69029", "solution_steps": ["Expand: 40x + 1645680 - 6534 = -39x - 69029", "Combine constants: 40x + 1639146 = -39x - 69029", "Add 39x to both sides: 79x + 1639146 = -69029", "Subtract 1639146 from both sides: 79x = -1708175", "Divide both sides by 79: x = -1708175/79"], "final_answer": "-1708175/79", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 41142) - 6534 = -39x - 69029", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 41142, \"c\": 6534, \"d\": -39, \"e\": 69029}", "seed": "9297120659114748109", "semantic_fingerprint": "sha256:bf0d83060a8376aa07ac314b1c722002005e238813c87caef56b113d841f1062", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001844", "prompt": "Solve the equation 22x + 5030 = -19(x + 8955) for x.", "solution_steps": ["Expand: 22x + 5030 = -19x - 170145", "Add 19x to both sides: 41x + 5030 = -170145", "Subtract 5030 from both sides: 41x = -175175", "Divide both sides by 41: x = -175175/41"], "final_answer": "-175175/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x + 5030 = -19(x + 8955)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 5030, \"c\": -19, \"d\": 8955}", "seed": "14479200456834226528", "semantic_fingerprint": "sha256:474b4afc13fd768c875b0c2f2409a0751976d4313c0dfec359267f4368c9e2b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001845", "prompt": "Compute: -13125 - 1719 - 52801", "solution_steps": ["Subtract: -13125 - 1719 = -14844", "Subtract: -14844 - 52801 = -67645"], "final_answer": "-67645", "answer_type": "integer", "kind": "expression", "math_text": "-13125 - 1719 - 52801", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13125, \"b\": 1719, \"c\": 52801}", "seed": "18070394203815854651", "semantic_fingerprint": "sha256:f9ab2ee10a3c51e6aa7d9691e8a843c8535ce0b3a0e21339f3c68a2620e5ab32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001846", "prompt": "Evaluate: 1005 / 47527", "solution_steps": ["Divide: 1005 / 47527 = 1005/47527"], "final_answer": "1005/47527", "answer_type": "rational", "kind": "expression", "math_text": "1005 / 47527", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1005, \"b\": 47527}", "seed": "2635303102841489276", "semantic_fingerprint": "sha256:63edcb19c296cf2e43a98ffdeec3b5c35a0bb7c6a8689647ce46f5e44a8bd94e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001847", "prompt": "What value of x satisfies -25(x + 71766) - 54835 = 22(x - 1116) + 7422?", "solution_steps": ["Expand: -25x - 1794150 - 54835 = 22(x - 1116) + 7422", "Expand: -25x - 1794150 - 54835 = 22x - 24552 + 7422", "Combine constants: -25x - 1848985 = 22x - 24552 + 7422", "Combine constants: -25x - 1848985 = 22x - 17130", "Subtract 22x from both sides: -47x - 1848985 = -17130", "Add 1848985 to both sides: -47x = 1831855", "Divide both sides by -47: x = -1831855/47"], "final_answer": "-1831855/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 71766) - 54835 = 22(x - 1116) + 7422", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 71766, \"c\": 54835, \"d\": 22, \"e\": 1116, \"f\": 7422}", "seed": "9078608564972095304", "semantic_fingerprint": "sha256:c6640c7235b522b3cf8b64a5fd5e6779757e93151fd4b681dae30bee07b84f81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001848", "prompt": "What is -79005 - (-72237)?", "solution_steps": ["Subtract: -79005 - (-72237) = -6768"], "final_answer": "-6768", "answer_type": "integer", "kind": "expression", "math_text": "-79005 - (-72237)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -79005, \"b\": -72237}", "seed": "5617025289231218544", "semantic_fingerprint": "sha256:99f5ae215566c5eef46ce91879993f31dae7609544eedfe64bf4e93eff8b03e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001849", "prompt": "What is -71218 / (8766 + (-6203)) * (-59420 + 89850)?", "solution_steps": ["Add: 8766 + (-6203) = 2563", "Divide: -71218 / 2563 = -71218/2563", "Add: -59420 + 89850 = 30430", "Multiply: (-71218/2563) * 30430 = -2167163740/2563"], "final_answer": "-2167163740/2563", "answer_type": "rational", "kind": "expression", "math_text": "-71218 / (8766 + (-6203)) * (-59420 + 89850)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -71218, \"b\": 8766, \"c\": -6203, \"d\": -59420, \"e\": 89850}", "seed": "16992909493484899077", "semantic_fingerprint": "sha256:21c281d07f9b63b33268917a33beede7a452bf41791e1c288948a0e69956645f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001850", "prompt": "Compute: -75013 - (-85787) + (-6975)", "solution_steps": ["Subtract: -75013 - (-85787) = 10774", "Add: 10774 + (-6975) = 3799"], "final_answer": "3799", "answer_type": "integer", "kind": "expression", "math_text": "-75013 - (-85787) + (-6975)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -75013, \"b\": -85787, \"c\": -6975}", "seed": "1909953481561247995", "semantic_fingerprint": "sha256:62aab9f5780fa6f60bb99748875c51672ccc0adf2b8d94267d6b5c0272c58166", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001851", "prompt": "What value of x satisfies 20(x + 39842) - 1503 = 19(x - 4716)?", "solution_steps": ["Expand: 20x + 796840 - 1503 = 19(x - 4716)", "Expand: 20x + 796840 - 1503 = 19x - 89604", "Combine constants: 20x + 795337 = 19x - 89604", "Subtract 19x from both sides: x + 795337 = -89604", "Subtract 795337 from both sides: x = -884941"], "final_answer": "-884941", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 39842) - 1503 = 19(x - 4716)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 39842, \"c\": 1503, \"d\": 19, \"e\": 4716}", "seed": "12140353032913884274", "semantic_fingerprint": "sha256:358eb1c42a1bcd775d26fad0c57e9d22b0778fb47982a7badf5b2cfb5d9822f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001852", "prompt": "Calculate: 1130 * 5045", "solution_steps": ["Multiply: 1130 * 5045 = 5700850"], "final_answer": "5700850", "answer_type": "integer", "kind": "expression", "math_text": "1130 * 5045", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1130, \"b\": 5045}", "seed": "15136745247472954656", "semantic_fingerprint": "sha256:aba14965bcfa85a52feee05809b0d864f1d4b7b896064b67165e7664ccf7ce71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001853", "prompt": "Evaluate: -8059 * (-8815)", "solution_steps": ["Multiply: -8059 * (-8815) = 71040085"], "final_answer": "71040085", "answer_type": "integer", "kind": "expression", "math_text": "-8059 * (-8815)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8059, \"b\": -8815}", "seed": "8002503167764349414", "semantic_fingerprint": "sha256:6bd26af6756685530e16dcb034311409c366dda86f4c962b15548c88e5d069fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001854", "prompt": "Calculate: -9313 * (-2392 + (-2866) - (9030 + (-51604)))", "solution_steps": ["Add: -2392 + (-2866) = -5258", "Add: 9030 + (-51604) = -42574", "Subtract: -5258 - (-42574) = 37316", "Multiply: -9313 * 37316 = -347523908"], "final_answer": "-347523908", "answer_type": "integer", "kind": "expression", "math_text": "-9313 * (-2392 + (-2866) - (9030 + (-51604)))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9313, \"b\": -2392, \"c\": -2866, \"d\": 9030, \"e\": -51604}", "seed": "10374637634312865821", "semantic_fingerprint": "sha256:14f7f4c512f4f74f78925b52960aa595374ed38ecb4c1f3f3b0fd6f80ef39fc8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001855", "prompt": "What is -6339 * (-4576)?", "solution_steps": ["Multiply: -6339 * (-4576) = 29007264"], "final_answer": "29007264", "answer_type": "integer", "kind": "expression", "math_text": "-6339 * (-4576)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6339, \"b\": -4576}", "seed": "10718674395537780428", "semantic_fingerprint": "sha256:79415071982e8569acd326cfa6997c4e4e9fc17440ba34b230730eed223fbf13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001856", "prompt": "Calculate: (-5855 + (-9778)) / 7721", "solution_steps": ["Add: -5855 + (-9778) = -15633", "Divide: -15633 / 7721 = -15633/7721"], "final_answer": "-15633/7721", "answer_type": "rational", "kind": "expression", "math_text": "(-5855 + (-9778)) / 7721", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5855, \"b\": -9778, \"c\": 7721}", "seed": "8569755603288287722", "semantic_fingerprint": "sha256:c28b9ddb584fb6d95d2928d6ee85f2644e11061032028a8c2350db0790e7bf64", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001857", "prompt": "Compute: 4922 + (41613 - (-28004)) * 59780", "solution_steps": ["Subtract: 41613 - (-28004) = 69617", "Multiply: 69617 * 59780 = 4161704260", "Add: 4922 + 4161704260 = 4161709182"], "final_answer": "4161709182", "answer_type": "integer", "kind": "expression", "math_text": "4922 + (41613 - (-28004)) * 59780", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4922, \"b\": 41613, \"c\": -28004, \"d\": 59780}", "seed": "15469554859437440210", "semantic_fingerprint": "sha256:5bab24de44d71c31cad15e063eab54eabae324cc6eb165d2c4965eb21770096a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001858", "prompt": "Compute: -27602 + 6762 * (-1419 - 4337) - 20764", "solution_steps": ["Subtract: -1419 - 4337 = -5756", "Multiply: 6762 * (-5756) = -38922072", "Add: -27602 + (-38922072) = -38949674", "Subtract: -38949674 - 20764 = -38970438"], "final_answer": "-38970438", "answer_type": "integer", "kind": "expression", "math_text": "-27602 + 6762 * (-1419 - 4337) - 20764", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27602, \"b\": 6762, \"c\": -1419, \"d\": 4337, \"e\": 20764}", "seed": "13874995907589618035", "semantic_fingerprint": "sha256:a7f209d320c14573bd1c8a8d04f3f3dc577bcd4ac1cb9d0dd3961b0f8cc233fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001859", "prompt": "Find x: 29x - 3455 = x - 1047", "solution_steps": ["Subtract x from both sides: 28x - 3455 = -1047", "Add 3455 to both sides: 28x = 2408", "Divide both sides by 28: x = 86"], "final_answer": "86", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x - 3455 = x - 1047", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 3455, \"d\": -1047, \"x\": 86}", "seed": "8747489993322936179", "semantic_fingerprint": "sha256:7bfc419b04e8c37583c03a281de17cd2a25d5f268eb3eaa3f37e2ff5c4c7b6fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001860", "prompt": "Evaluate: 82680 + 7476", "solution_steps": ["Add: 82680 + 7476 = 90156"], "final_answer": "90156", "answer_type": "integer", "kind": "expression", "math_text": "82680 + 7476", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 82680, \"b\": 7476}", "seed": "5484767097779579996", "semantic_fingerprint": "sha256:97cd7b7e5362c169a9aee0f7e62e800aadd684601ab6674f7c5165c38e41e7fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001861", "prompt": "Solve the equation -13x + 6292 = 13(x + 5882) - 5866 for x.", "solution_steps": ["Expand: -13x + 6292 = 13x + 76466 - 5866", "Combine constants: -13x + 6292 = 13x + 70600", "Subtract 13x from both sides: -26x + 6292 = 70600", "Subtract 6292 from both sides: -26x = 64308", "Divide both sides by -26: x = -32154/13"], "final_answer": "-32154/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x + 6292 = 13(x + 5882) - 5866", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 6292, \"c\": 13, \"d\": 5882, \"e\": 5866}", "seed": "15925394607155557781", "semantic_fingerprint": "sha256:0d5971d1f22b9c79b2b9a2124c232826ea477ae12784ff93b33e51dd90a5d956", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001862", "prompt": "Calculate: (18167 * 7427 + 22514) / (88823 + (-9320))", "solution_steps": ["Multiply: 18167 * 7427 = 134926309", "Add: 134926309 + 22514 = 134948823", "Add: 88823 + (-9320) = 79503", "Divide: 134948823 / 79503 = 44982941/26501"], "final_answer": "44982941/26501", "answer_type": "rational", "kind": "expression", "math_text": "(18167 * 7427 + 22514) / (88823 + (-9320))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18167, \"b\": 7427, \"c\": 22514, \"d\": 88823, \"e\": -9320}", "seed": "14265490857195767174", "semantic_fingerprint": "sha256:7c1708014d84574de2da5208e1f2dea4c821a4e80332031c00b0f568c667209f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001863", "prompt": "Solve for x: 13x + 1575 = 38x", "solution_steps": ["Subtract 38x from both sides: -25x + 1575 = 0", "Subtract 1575 from both sides: -25x = -1575", "Divide both sides by -25: x = 63"], "final_answer": "63", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 1575 = 38x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 38, \"d\": 1575, \"x\": 63}", "seed": "646749501044977764", "semantic_fingerprint": "sha256:b93ebfeabde9ec12a90a12a036b435e2d86aff1519d5b2481711d7b82b783e43", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001864", "prompt": "Evaluate: -21179 - (-3176 * (-58042) + (-44907)) + (-9149 + (-26162))", "solution_steps": ["Multiply: -3176 * (-58042) = 184341392", "Add: 184341392 + (-44907) = 184296485", "Subtract: -21179 - 184296485 = -184317664", "Add: -9149 + (-26162) = -35311", "Add: -184317664 + (-35311) = -184352975"], "final_answer": "-184352975", "answer_type": "integer", "kind": "expression", "math_text": "-21179 - (-3176 * (-58042) + (-44907)) + (-9149 + (-26162))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ (* n n) n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21179, \"b\": -3176, \"c\": -58042, \"d\": -44907, \"e\": -9149, \"f\": -26162}", "seed": "14998833289930293858", "semantic_fingerprint": "sha256:7658e270a2247bde8553b9eb4e30183d778a1d8d0db583839bcdc1945405107f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001865", "prompt": "Evaluate: -3293 * (24455 + (-6980) + 5200 * 9452)", "solution_steps": ["Add: 24455 + (-6980) = 17475", "Multiply: 5200 * 9452 = 49150400", "Add: 17475 + 49150400 = 49167875", "Multiply: -3293 * 49167875 = -161909812375"], "final_answer": "-161909812375", "answer_type": "integer", "kind": "expression", "math_text": "-3293 * (24455 + (-6980) + 5200 * 9452)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3293, \"b\": 24455, \"c\": -6980, \"d\": 5200, \"e\": 9452}", "seed": "533167366472418542", "semantic_fingerprint": "sha256:fa40e373630e4b65a27506d7ebd26a9d12e334c84363f3ceae7314e0a6fa92b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001866", "prompt": "Evaluate: -23016 * (-1395)", "solution_steps": ["Multiply: -23016 * (-1395) = 32107320"], "final_answer": "32107320", "answer_type": "integer", "kind": "expression", "math_text": "-23016 * (-1395)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -23016, \"b\": -1395}", "seed": "1711434462852763433", "semantic_fingerprint": "sha256:e4f4e615aaed50489c8f5478c267c2979a5d11b72f81157ff891e3f2a5a4465c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001867", "prompt": "Find x: x - 10251 = 18(x + 2042)", "solution_steps": ["Expand: x - 10251 = 18x + 36756", "Subtract 18x from both sides: -17x - 10251 = 36756", "Add 10251 to both sides: -17x = 47007", "Divide both sides by -17: x = -47007/17"], "final_answer": "-47007/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 10251 = 18(x + 2042)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10251, \"b\": 18, \"c\": 2042}", "seed": "10855185409529933052", "semantic_fingerprint": "sha256:6b1ec24b0e35bfd92dc0d4ed11f9728653adbbc02ea18e3b080abfdc35c068d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001868", "prompt": "Calculate: (-48392 + (-67320)) * (-6597) - 4087", "solution_steps": ["Add: -48392 + (-67320) = -115712", "Multiply: -115712 * (-6597) = 763352064", "Subtract: 763352064 - 4087 = 763347977"], "final_answer": "763347977", "answer_type": "integer", "kind": "expression", "math_text": "(-48392 + (-67320)) * (-6597) - 4087", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -48392, \"b\": -67320, \"c\": -6597, \"d\": 4087}", "seed": "1266379377026141002", "semantic_fingerprint": "sha256:101dcb49ad368f4e9e01f9715a064c262bdb0cd7f1edac4f7035f534b2d82b53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001869", "prompt": "Find x: 25(x - 1755) + 4344 = 35x - 37741", "solution_steps": ["Expand: 25x - 43875 + 4344 = 35x - 37741", "Combine constants: 25x - 39531 = 35x - 37741", "Subtract 35x from both sides: -10x - 39531 = -37741", "Add 39531 to both sides: -10x = 1790", "Divide both sides by -10: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 1755) + 4344 = 35x - 37741", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1755, \"c\": 4344, \"d\": 35, \"f\": -37741, \"x\": -179}", "seed": "5237506392126227650", "semantic_fingerprint": "sha256:e7942d5469a060e5ae245d115b47b1501f587b4d05d4b9e8379c3abd2500d775", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001870", "prompt": "What is -7515 + 9741 + (-3284 + (-6941)) + 6421?", "solution_steps": ["Add: -7515 + 9741 = 2226", "Add: -3284 + (-6941) = -10225", "Add: 2226 + (-10225) = -7999", "Add: -7999 + 6421 = -1578"], "final_answer": "-1578", "answer_type": "integer", "kind": "expression", "math_text": "-7515 + 9741 + (-3284 + (-6941)) + 6421", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7515, \"b\": 9741, \"c\": -3284, \"d\": -6941, \"e\": 6421}", "seed": "2665513826269205384", "semantic_fingerprint": "sha256:1063c70f342472d1c0dff930afd0da69c9ab48696508a9c7b0bc6c0709ac6420", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001871", "prompt": "Calculate: (76445 + 81947) * 39160", "solution_steps": ["Add: 76445 + 81947 = 158392", "Multiply: 158392 * 39160 = 6202630720"], "final_answer": "6202630720", "answer_type": "integer", "kind": "expression", "math_text": "(76445 + 81947) * 39160", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 76445, \"b\": 81947, \"c\": 39160}", "seed": "16427736651426323424", "semantic_fingerprint": "sha256:98ed9a832fb54a4d253f39d62bbf1522642d4f86e22dbd62d2ce916f31d3224d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001872", "prompt": "Compute: -37917 - (-25792) - (-60561 + (-8067))", "solution_steps": ["Subtract: -37917 - (-25792) = -12125", "Add: -60561 + (-8067) = -68628", "Subtract: -12125 - (-68628) = 56503"], "final_answer": "56503", "answer_type": "integer", "kind": "expression", "math_text": "-37917 - (-25792) - (-60561 + (-8067))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37917, \"b\": -25792, \"c\": -60561, \"d\": -8067}", "seed": "11044112452461225707", "semantic_fingerprint": "sha256:d4954098077f1a34ccc7306c678fe7aa43ed97b3f6bb463327213e8e63cdbe1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001873", "prompt": "What is 2708 + (-5829) * (57569 / 1044)?", "solution_steps": ["Divide: 57569 / 1044 = 57569/1044", "Multiply: -5829 * (57569/1044) = -3857123/12", "Add: 2708 + (-3857123/12) = -3824627/12"], "final_answer": "-3824627/12", "answer_type": "rational", "kind": "expression", "math_text": "2708 + (-5829) * (57569 / 1044)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2708, \"b\": -5829, \"c\": 57569, \"d\": 1044}", "seed": "4794335969204255298", "semantic_fingerprint": "sha256:99348eeade1a4bb89a2f5aaeceb4a2295fbaeb5624e549b255a2016795880bb9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001874", "prompt": "Compute: -58948 * (-5208) + (-4164 + (-41943))", "solution_steps": ["Multiply: -58948 * (-5208) = 307001184", "Add: -4164 + (-41943) = -46107", "Add: 307001184 + (-46107) = 306955077"], "final_answer": "306955077", "answer_type": "integer", "kind": "expression", "math_text": "-58948 * (-5208) + (-4164 + (-41943))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -58948, \"b\": -5208, \"c\": -4164, \"d\": -41943}", "seed": "10426133771242028596", "semantic_fingerprint": "sha256:3824f83c32e50ebad65964de8f3ceee9ed7802ad5af89cda260d0670da1e588e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001875", "prompt": "What is (5552 + (1688 - (-56522))) / (3923 + (-9703)) + (-5646)?", "solution_steps": ["Subtract: 1688 - (-56522) = 58210", "Add: 5552 + 58210 = 63762", "Add: 3923 + (-9703) = -5780", "Divide: 63762 / (-5780) = -31881/2890", "Add: -31881/2890 + (-5646) = -16348821/2890"], "final_answer": "-16348821/2890", "answer_type": "rational", "kind": "expression", "math_text": "(5552 + (1688 - (-56522))) / (3923 + (-9703)) + (-5646)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5552, \"b\": 1688, \"c\": -56522, \"d\": 3923, \"e\": -9703, \"f\": -5646}", "seed": "17818510856302479812", "semantic_fingerprint": "sha256:afc9496ed1c512be2b5e2d32a176680d08689b7713f58824dce02fc5c5dc9422", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001876", "prompt": "What is 2414 + (-21710)?", "solution_steps": ["Add: 2414 + (-21710) = -19296"], "final_answer": "-19296", "answer_type": "integer", "kind": "expression", "math_text": "2414 + (-21710)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2414, \"b\": -21710}", "seed": "11717979867195343365", "semantic_fingerprint": "sha256:d97ac5b08362493862de0f0d8c356dd0a2ea101f813f16176e1a4ae6c34feca8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001877", "prompt": "Compute: -5444 + 6583 - 83229 / (-2727)", "solution_steps": ["Add: -5444 + 6583 = 1139", "Divide: 83229 / (-2727) = -27743/909", "Subtract: 1139 - (-27743/909) = 1063094/909"], "final_answer": "1063094/909", "answer_type": "rational", "kind": "expression", "math_text": "-5444 + 6583 - 83229 / (-2727)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5444, \"b\": 6583, \"c\": 83229, \"d\": -2727}", "seed": "15118525169767393305", "semantic_fingerprint": "sha256:919f59cfb8328c0fd7d530c983f2e17773c9cf2acffd004c8b90ac9ec632000b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001878", "prompt": "Find x: 26(x + 9059) + 2766 = -29(x + 63330)", "solution_steps": ["Expand: 26x + 235534 + 2766 = -29(x + 63330)", "Expand: 26x + 235534 + 2766 = -29x - 1836570", "Combine constants: 26x + 238300 = -29x - 1836570", "Add 29x to both sides: 55x + 238300 = -1836570", "Subtract 238300 from both sides: 55x = -2074870", "Divide both sides by 55: x = -414974/11"], "final_answer": "-414974/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 9059) + 2766 = -29(x + 63330)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 9059, \"c\": 2766, \"d\": -29, \"e\": 63330}", "seed": "17259435628732404956", "semantic_fingerprint": "sha256:37f397925217f1ad3c3c8202d150837216c618166dcd716ac378349c214708f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001879", "prompt": "Calculate: 44059 - (-86348) / (-8776)", "solution_steps": ["Divide: -86348 / (-8776) = 21587/2194", "Subtract: 44059 - 21587/2194 = 96643859/2194"], "final_answer": "96643859/2194", "answer_type": "rational", "kind": "expression", "math_text": "44059 - (-86348) / (-8776)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44059, \"b\": -86348, \"c\": -8776}", "seed": "2702633284925097486", "semantic_fingerprint": "sha256:7785c2655656784f828fe02ffaa9cee100384e055b00905cf094cd4415d23832", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001880", "prompt": "Calculate: -97765 - 9170 - 44371", "solution_steps": ["Subtract: -97765 - 9170 = -106935", "Subtract: -106935 - 44371 = -151306"], "final_answer": "-151306", "answer_type": "integer", "kind": "expression", "math_text": "-97765 - 9170 - 44371", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97765, \"b\": 9170, \"c\": 44371}", "seed": "17069315187703110056", "semantic_fingerprint": "sha256:5f02c54226168c876f35cd0644ec4f518a4a72f019184bc601fb55526a723dea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001881", "prompt": "What value of x satisfies 36(x + 5037) + 9997 = 4053?", "solution_steps": ["Expand: 36x + 181332 + 9997 = 4053", "Combine constants: 36x + 191329 = 4053", "Subtract 191329 from both sides: 36x = -187276", "Divide both sides by 36: x = -46819/9"], "final_answer": "-46819/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 5037) + 9997 = 4053", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 5037, \"c\": 9997, \"d\": 4053}", "seed": "8384895456555370450", "semantic_fingerprint": "sha256:2f07061164cc6e4594a8476440a62db988708856226c7ab2ff04de82b175579a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001882", "prompt": "Evaluate: 7785 - (17377 - 5129 - 1113)", "solution_steps": ["Subtract: 17377 - 5129 = 12248", "Subtract: 12248 - 1113 = 11135", "Subtract: 7785 - 11135 = -3350"], "final_answer": "-3350", "answer_type": "integer", "kind": "expression", "math_text": "7785 - (17377 - 5129 - 1113)", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7785, \"b\": 17377, \"c\": 5129, \"d\": 1113}", "seed": "2831439787326630175", "semantic_fingerprint": "sha256:a219094d4984c09daf675dc284d7b76bf03142def726e767b5f2996e5b3cee4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001883", "prompt": "What value of x satisfies x - 99304 = 23(x - 4396)?", "solution_steps": ["Expand: x - 99304 = 23x - 101108", "Subtract 23x from both sides: -22x - 99304 = -101108", "Add 99304 to both sides: -22x = -1804", "Divide both sides by -22: x = 82"], "final_answer": "82", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 99304 = 23(x - 4396)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 4396, \"d\": -99304, \"x\": 82}", "seed": "7709137144742553658", "semantic_fingerprint": "sha256:33b05ec94056517023ae6472bef5c40139bf60f9256ee17c0fccc2c57e44d2cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001884", "prompt": "Calculate: -9077 - (-3240)", "solution_steps": ["Subtract: -9077 - (-3240) = -5837"], "final_answer": "-5837", "answer_type": "integer", "kind": "expression", "math_text": "-9077 - (-3240)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9077, \"b\": -3240}", "seed": "17033440866701210269", "semantic_fingerprint": "sha256:4e4342b40ec2fdb8d89a6235b03f2d2ededebae03a07909d701c3f7bda421850", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001885", "prompt": "Solve for x: x - 49067 = 14(x - 3658)", "solution_steps": ["Expand: x - 49067 = 14x - 51212", "Subtract 14x from both sides: -13x - 49067 = -51212", "Add 49067 to both sides: -13x = -2145", "Divide both sides by -13: x = 165"], "final_answer": "165", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 49067 = 14(x - 3658)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 3658, \"d\": -49067, \"x\": 165}", "seed": "4537401954339697924", "semantic_fingerprint": "sha256:68807d86ffcc437ee2cf14925e9940228a87a944b309277ca82c20610a715c07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001886", "prompt": "Evaluate: 25978 / (-43919) * (-2674) - (-66235)", "solution_steps": ["Divide: 25978 / (-43919) = -25978/43919", "Multiply: (-25978/43919) * (-2674) = 69465172/43919", "Subtract: 69465172/43919 - (-66235) = 2978440137/43919"], "final_answer": "2978440137/43919", "answer_type": "rational", "kind": "expression", "math_text": "25978 / (-43919) * (-2674) - (-66235)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25978, \"b\": -43919, \"c\": -2674, \"d\": -66235}", "seed": "17798632057392497968", "semantic_fingerprint": "sha256:29ac156ed33e26a2a8b6076b6d80a6816fbd54addcadda1d448411cdb2d05288", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001887", "prompt": "Solve for x: x = 20x - 3321", "solution_steps": ["Subtract 20x from both sides: -19x = -3321", "Divide both sides by -19: x = 3321/19"], "final_answer": "3321/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 20x - 3321", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3321}", "seed": "1669590194442730767", "semantic_fingerprint": "sha256:e463b566390a81fc1b3c0c2640a5fdd9d5ffde1dda8b0d9abdc3b591ef73320b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001888", "prompt": "What is -4767 - (5235 - (-9321) - 1992)?", "solution_steps": ["Subtract: 5235 - (-9321) = 14556", "Subtract: 14556 - 1992 = 12564", "Subtract: -4767 - 12564 = -17331"], "final_answer": "-17331", "answer_type": "integer", "kind": "expression", "math_text": "-4767 - (5235 - (-9321) - 1992)", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4767, \"b\": 5235, \"c\": -9321, \"d\": 1992}", "seed": "8382641014454976438", "semantic_fingerprint": "sha256:6934087b252206b98ede057214e226875c4421bdfb3dce4c6f9ae8cb7674bc60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001889", "prompt": "What value of x satisfies x + 60649 = 30(x + 5774) - 72476?", "solution_steps": ["Expand: x + 60649 = 30x + 173220 - 72476", "Combine constants: x + 60649 = 30x + 100744", "Subtract 30x from both sides: -29x + 60649 = 100744", "Subtract 60649 from both sides: -29x = 40095", "Divide both sides by -29: x = -40095/29"], "final_answer": "-40095/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 60649 = 30(x + 5774) - 72476", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 60649, \"b\": 30, \"c\": 5774, \"d\": 72476}", "seed": "16553250020236262769", "semantic_fingerprint": "sha256:bc5743494b1907c92f09054b5ab17b1fe172cf5f53c244519f150fae2d3d24c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001890", "prompt": "Calculate: 7662 + 3835 - (-64591)", "solution_steps": ["Add: 7662 + 3835 = 11497", "Subtract: 11497 - (-64591) = 76088"], "final_answer": "76088", "answer_type": "integer", "kind": "expression", "math_text": "7662 + 3835 - (-64591)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7662, \"b\": 3835, \"c\": -64591}", "seed": "9374906093925743440", "semantic_fingerprint": "sha256:0d74e44dcfde7f11e81af3cf85aa4ca9eb442f8b330680cd4ed8dbd3adec14e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001891", "prompt": "Solve for x: x - 6739 = -32(x + 7575) - 1843", "solution_steps": ["Expand: x - 6739 = -32x - 242400 - 1843", "Combine constants: x - 6739 = -32x - 244243", "Add 32x to both sides: 33x - 6739 = -244243", "Add 6739 to both sides: 33x = -237504", "Divide both sides by 33: x = -79168/11"], "final_answer": "-79168/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6739 = -32(x + 7575) - 1843", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6739, \"b\": -32, \"c\": 7575, \"d\": 1843}", "seed": "4854516070965024202", "semantic_fingerprint": "sha256:5845ad5b948848778188f30f6da7f3ba749b720407eae21c210c08e0752f254b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001892", "prompt": "What is 6386 / (-91495)?", "solution_steps": ["Divide: 6386 / (-91495) = -6386/91495"], "final_answer": "-6386/91495", "answer_type": "rational", "kind": "expression", "math_text": "6386 / (-91495)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6386, \"b\": -91495}", "seed": "1772241321892668147", "semantic_fingerprint": "sha256:7b4af9b63fddb941c07c20527d21edbe42ae7312c8e42996c4706e351717d7f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001893", "prompt": "Find x: 24x = 13(x + 6232)", "solution_steps": ["Expand: 24x = 13x + 81016", "Subtract 13x from both sides: 11x = 81016", "Divide both sides by 11: x = 81016/11"], "final_answer": "81016/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x = 13(x + 6232)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 13, \"c\": 6232}", "seed": "15179188336410776403", "semantic_fingerprint": "sha256:5429e600cad050b9a293e9547ea29a63be6fe4f9f3ec62e57827332aed3c68c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001894", "prompt": "What is -9871 * (-43927 / (-12334))?", "solution_steps": ["Divide: -43927 / (-12334) = 43927/12334", "Multiply: -9871 * (43927/12334) = -433603417/12334"], "final_answer": "-433603417/12334", "answer_type": "rational", "kind": "expression", "math_text": "-9871 * (-43927 / (-12334))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9871, \"b\": -43927, \"c\": -12334}", "seed": "3892661431764523904", "semantic_fingerprint": "sha256:eb8f488a98120e746740dc2bf73d3978eefefbed7636720d22937a5282211fc7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001895", "prompt": "Calculate: -67656 + (-8968 - 3341)", "solution_steps": ["Subtract: -8968 - 3341 = -12309", "Add: -67656 + (-12309) = -79965"], "final_answer": "-79965", "answer_type": "integer", "kind": "expression", "math_text": "-67656 + (-8968 - 3341)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67656, \"b\": -8968, \"c\": 3341}", "seed": "10683222303542796198", "semantic_fingerprint": "sha256:b270d90a6d8f4ce98f0c214c7d86ffee00c6e9fac842d3a405f6ae2fca789718", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001896", "prompt": "Calculate: 5600 * (-94767 + 54046)", "solution_steps": ["Add: -94767 + 54046 = -40721", "Multiply: 5600 * (-40721) = -228037600"], "final_answer": "-228037600", "answer_type": "integer", "kind": "expression", "math_text": "5600 * (-94767 + 54046)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5600, \"b\": -94767, \"c\": 54046}", "seed": "16631276309193039471", "semantic_fingerprint": "sha256:d2fc05330225da48d8d4f12d0967a842ad8162deec7fc2145b0169815638d572", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001897", "prompt": "Compute: 3582 * (-47627) - (-70795 - (5405 - 85000))", "solution_steps": ["Multiply: 3582 * (-47627) = -170599914", "Subtract: 5405 - 85000 = -79595", "Subtract: -70795 - (-79595) = 8800", "Subtract: -170599914 - 8800 = -170608714"], "final_answer": "-170608714", "answer_type": "integer", "kind": "expression", "math_text": "3582 * (-47627) - (-70795 - (5405 - 85000))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3582, \"b\": -47627, \"c\": -70795, \"d\": 5405, \"e\": 85000}", "seed": "9993135114654733034", "semantic_fingerprint": "sha256:661965447a1235cb9b29eefcdc5a8f29ab910921df6e174b7b8d87588b42e5e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001898", "prompt": "Evaluate: -23962 - (-47425)", "solution_steps": ["Subtract: -23962 - (-47425) = 23463"], "final_answer": "23463", "answer_type": "integer", "kind": "expression", "math_text": "-23962 - (-47425)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -23962, \"b\": -47425}", "seed": "11300021414200838092", "semantic_fingerprint": "sha256:a4fe702f631571121eabdab906b4fe45950211b7cdf8ef11c4efcb0cc65fdd35", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001899", "prompt": "Evaluate: -7657 - 63925 - (9716 - (-4316 - (-84590)))", "solution_steps": ["Subtract: -7657 - 63925 = -71582", "Subtract: -4316 - (-84590) = 80274", "Subtract: 9716 - 80274 = -70558", "Subtract: -71582 - (-70558) = -1024"], "final_answer": "-1024", "answer_type": "integer", "kind": "expression", "math_text": "-7657 - 63925 - (9716 - (-4316 - (-84590)))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7657, \"b\": 63925, \"c\": 9716, \"d\": -4316, \"e\": -84590}", "seed": "12805150458769495804", "semantic_fingerprint": "sha256:f461b9a953bb52451c6c4ee7a35b68f5608fd652cc896b0ae1bc1a78396aed8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001900", "prompt": "What is -1887 / 78419 + 6293?", "solution_steps": ["Divide: -1887 / 78419 = -1887/78419", "Add: -1887/78419 + 6293 = 493488880/78419"], "final_answer": "493488880/78419", "answer_type": "rational", "kind": "expression", "math_text": "-1887 / 78419 + 6293", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1887, \"b\": 78419, \"c\": 6293}", "seed": "18144690658508184004", "semantic_fingerprint": "sha256:3177295d792f89bdf6d1f4a292689a43749e96b5ba2cda888706fce3b5f4d7d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001901", "prompt": "What value of x satisfies -26x + 9372 = 40x?", "solution_steps": ["Subtract 40x from both sides: -66x + 9372 = 0", "Subtract 9372 from both sides: -66x = -9372", "Divide both sides by -66: x = 142"], "final_answer": "142", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x + 9372 = 40x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 40, \"d\": 9372, \"x\": 142}", "seed": "8637193721535894948", "semantic_fingerprint": "sha256:dc0f977fafa8f28d06dc9c9dcf26cf9c47bd800d39eb9b50fa74bf8d3d991ea7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001902", "prompt": "What is 7830 / (-7100) + (-6469 + (-83925))?", "solution_steps": ["Divide: 7830 / (-7100) = -783/710", "Add: -6469 + (-83925) = -90394", "Add: -783/710 + (-90394) = -64180523/710"], "final_answer": "-64180523/710", "answer_type": "rational", "kind": "expression", "math_text": "7830 / (-7100) + (-6469 + (-83925))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7830, \"b\": -7100, \"c\": -6469, \"d\": -83925}", "seed": "2124470865433709041", "semantic_fingerprint": "sha256:de3e582597e065dcb6d0140fcdf912421a391073b862226a3d0604ef6ceabdf9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001903", "prompt": "What is -84028 + (-4480) - (75067 - (-9044))?", "solution_steps": ["Add: -84028 + (-4480) = -88508", "Subtract: 75067 - (-9044) = 84111", "Subtract: -88508 - 84111 = -172619"], "final_answer": "-172619", "answer_type": "integer", "kind": "expression", "math_text": "-84028 + (-4480) - (75067 - (-9044))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -84028, \"b\": -4480, \"c\": 75067, \"d\": -9044}", "seed": "10101412322038045133", "semantic_fingerprint": "sha256:e94fe389659e765a3e310dcfb790a56d4aed0d22a5654db1659b1b4d31166143", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001904", "prompt": "What is 2090 - (-9996)?", "solution_steps": ["Subtract: 2090 - (-9996) = 12086"], "final_answer": "12086", "answer_type": "integer", "kind": "expression", "math_text": "2090 - (-9996)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2090, \"b\": -9996}", "seed": "4013971796818496626", "semantic_fingerprint": "sha256:3e23068b4cbad245d3a39a2eea93079362ff02b90c773c8c361af3bcaaf7d562", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001905", "prompt": "What value of x satisfies 35x + 4608 = -25x - 38255?", "solution_steps": ["Add 25x to both sides: 60x + 4608 = -38255", "Subtract 4608 from both sides: 60x = -42863", "Divide both sides by 60: x = -42863/60"], "final_answer": "-42863/60", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x + 4608 = -25x - 38255", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4608, \"c\": -25, \"d\": 38255}", "seed": "4465480881891645550", "semantic_fingerprint": "sha256:c853991c7b35905e89344d32c47cb25bec9cf23d154c68ac7ab48ca60207156c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001906", "prompt": "What value of x satisfies x = 14x?", "solution_steps": ["Subtract 14x from both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14}", "seed": "14977917796688808220", "semantic_fingerprint": "sha256:dc882009648b58b29f184b8c2722243cb523dcb85f0a7d1291dda678df46ced8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001907", "prompt": "Compute: (4934 + 92333) / 3256 * 8317", "solution_steps": ["Add: 4934 + 92333 = 97267", "Divide: 97267 / 3256 = 97267/3256", "Multiply: (97267/3256) * 8317 = 808969639/3256"], "final_answer": "808969639/3256", "answer_type": "rational", "kind": "expression", "math_text": "(4934 + 92333) / 3256 * 8317", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4934, \"b\": 92333, \"c\": 3256, \"d\": 8317}", "seed": "3813300428631568271", "semantic_fingerprint": "sha256:7a19466a4308b71b1e1dd3bfe5d86d5927bd014ad90a1f250c2f5f0c3ced7896", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001908", "prompt": "Find x: 28(x + 6901) = 13(x - 98127)", "solution_steps": ["Expand: 28x + 193228 = 13(x - 98127)", "Expand: 28x + 193228 = 13x - 1275651", "Subtract 13x from both sides: 15x + 193228 = -1275651", "Subtract 193228 from both sides: 15x = -1468879", "Divide both sides by 15: x = -1468879/15"], "final_answer": "-1468879/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 6901) = 13(x - 98127)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 6901, \"c\": 13, \"d\": 98127}", "seed": "7604427061647622353", "semantic_fingerprint": "sha256:a65634cc159422c525abc6b997595639868b025187f87019a519ce690fd9e526", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001909", "prompt": "Calculate: (-9545 + 4619) * 48507", "solution_steps": ["Add: -9545 + 4619 = -4926", "Multiply: -4926 * 48507 = -238945482"], "final_answer": "-238945482", "answer_type": "integer", "kind": "expression", "math_text": "(-9545 + 4619) * 48507", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9545, \"b\": 4619, \"c\": 48507}", "seed": "15801914526911347517", "semantic_fingerprint": "sha256:f15abd957b11ca4ca6ecffc73b2b220eb9c4f33af258d6e8565d13e6eb977f18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001910", "prompt": "Compute: (-23587 + (-25430)) / (-3851) - (-17470 * (-2700) + 9919)", "solution_steps": ["Add: -23587 + (-25430) = -49017", "Divide: -49017 / (-3851) = 49017/3851", "Multiply: -17470 * (-2700) = 47169000", "Add: 47169000 + 9919 = 47178919", "Subtract: 49017/3851 - 47178919 = -181685968052/3851"], "final_answer": "-181685968052/3851", "answer_type": "rational", "kind": "expression", "math_text": "(-23587 + (-25430)) / (-3851) - (-17470 * (-2700) + 9919)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23587, \"b\": -25430, \"c\": -3851, \"d\": -17470, \"e\": -2700, \"f\": 9919}", "seed": "3136795396853751492", "semantic_fingerprint": "sha256:caf11f6c4db6701a47a17ad599830c1fa1deac4f9e478586393379fa3f02a461", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001911", "prompt": "Compute: 2487 + (-5915 / (-16376) * (-11137) + (-7730))", "solution_steps": ["Divide: -5915 / (-16376) = 5915/16376", "Multiply: (5915/16376) * (-11137) = -65875355/16376", "Add: -65875355/16376 + (-7730) = -192461835/16376", "Add: 2487 + (-192461835/16376) = -151734723/16376"], "final_answer": "-151734723/16376", "answer_type": "rational", "kind": "expression", "math_text": "2487 + (-5915 / (-16376) * (-11137) + (-7730))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* (/ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2487, \"b\": -5915, \"c\": -16376, \"d\": -11137, \"e\": -7730}", "seed": "2414852052637653311", "semantic_fingerprint": "sha256:22553ee0480591d3e26015464c5f33cd4636e5351fe571ab1a7174fbb44a59fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001912", "prompt": "Find x: x + 1561 = 1508", "solution_steps": ["Subtract 1561 from both sides: x = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1561 = 1508", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1561, \"c\": 1508, \"x\": -53}", "seed": "2201129614597786144", "semantic_fingerprint": "sha256:deb36946fe82bcab81069dc1555a7826e23aa4b5d31dd531597545685938c4e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001913", "prompt": "Evaluate: 39912 + (-5472)", "solution_steps": ["Add: 39912 + (-5472) = 34440"], "final_answer": "34440", "answer_type": "integer", "kind": "expression", "math_text": "39912 + (-5472)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 39912, \"b\": -5472}", "seed": "18045422206071338666", "semantic_fingerprint": "sha256:7592d37ed05a8ca7640497357bd0379c7ec96ef7af9201c863b1f71796375068", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001914", "prompt": "Calculate: (75047 - (-4838)) / (-9994)", "solution_steps": ["Subtract: 75047 - (-4838) = 79885", "Divide: 79885 / (-9994) = -79885/9994"], "final_answer": "-79885/9994", "answer_type": "rational", "kind": "expression", "math_text": "(75047 - (-4838)) / (-9994)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75047, \"b\": -4838, \"c\": -9994}", "seed": "9576305989497457078", "semantic_fingerprint": "sha256:8078a6e6bdc2f42f0a04372e79a4d7823022f81087750b6051d86512f5e47919", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001915", "prompt": "Find x: x - 3374 = 37x - 2937", "solution_steps": ["Subtract 37x from both sides: -36x - 3374 = -2937", "Add 3374 to both sides: -36x = 437", "Divide both sides by -36: x = -437/36"], "final_answer": "-437/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3374 = 37x - 2937", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3374, \"b\": 37, \"c\": 2937}", "seed": "3977319410070625600", "semantic_fingerprint": "sha256:a7d0f9be4e9e36229c46389bbebebe7fad8e0c66fc7187f282997b3cf405c346", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001916", "prompt": "Evaluate: -99272 * (5575 + 76736)", "solution_steps": ["Add: 5575 + 76736 = 82311", "Multiply: -99272 * 82311 = -8171177592"], "final_answer": "-8171177592", "answer_type": "integer", "kind": "expression", "math_text": "-99272 * (5575 + 76736)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99272, \"b\": 5575, \"c\": 76736}", "seed": "16236341406637640511", "semantic_fingerprint": "sha256:9e5a9f685b86bcdaa9d3d333126f1a4425ebfd4b00488bd99af4f91a03747d8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001917", "prompt": "Evaluate: -2125 / (9687 - 6413) + (-47888 - (39115 + (-37451)))", "solution_steps": ["Subtract: 9687 - 6413 = 3274", "Divide: -2125 / 3274 = -2125/3274", "Add: 39115 + (-37451) = 1664", "Subtract: -47888 - 1664 = -49552", "Add: -2125/3274 + (-49552) = -162235373/3274"], "final_answer": "-162235373/3274", "answer_type": "rational", "kind": "expression", "math_text": "-2125 / (9687 - 6413) + (-47888 - (39115 + (-37451)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2125, \"b\": 9687, \"c\": 6413, \"d\": -47888, \"e\": 39115, \"f\": -37451}", "seed": "16578610441804720712", "semantic_fingerprint": "sha256:af0cb79684a07233feac3e360bcfb735f65b3977994ebbb0485c660f6029bf94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001918", "prompt": "What is -49909 * (8292 + (-2584))?", "solution_steps": ["Add: 8292 + (-2584) = 5708", "Multiply: -49909 * 5708 = -284880572"], "final_answer": "-284880572", "answer_type": "integer", "kind": "expression", "math_text": "-49909 * (8292 + (-2584))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49909, \"b\": 8292, \"c\": -2584}", "seed": "2171541509043996251", "semantic_fingerprint": "sha256:9560411ed677a27ef4dfcc842d2e3f3fdb24f625aa19e2e176896eb97b7a2ac9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001919", "prompt": "Evaluate: 44093 * 6502 / (-1227)", "solution_steps": ["Multiply: 44093 * 6502 = 286692686", "Divide: 286692686 / (-1227) = -286692686/1227"], "final_answer": "-286692686/1227", "answer_type": "rational", "kind": "expression", "math_text": "44093 * 6502 / (-1227)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44093, \"b\": 6502, \"c\": -1227}", "seed": "1948146377037533801", "semantic_fingerprint": "sha256:e70e4d0b7b478e7a09bbca6e9cad06619b7cca0bc8a0e3eb5ac25b8acd6e120f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001920", "prompt": "Compute: -7171 - (-6277)", "solution_steps": ["Subtract: -7171 - (-6277) = -894"], "final_answer": "-894", "answer_type": "integer", "kind": "expression", "math_text": "-7171 - (-6277)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7171, \"b\": -6277}", "seed": "10466629976891160170", "semantic_fingerprint": "sha256:97d02ccd578dec6bd9ce9d8914fc5bf058dd93cb5d681b3fb8358c97ecbf9585", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001921", "prompt": "Compute: 53918 + 57526 * (-8782) / (-3310 - 56416)", "solution_steps": ["Multiply: 57526 * (-8782) = -505193332", "Subtract: -3310 - 56416 = -59726", "Divide: -505193332 / (-59726) = 252596666/29863", "Add: 53918 + 252596666/29863 = 1862749900/29863"], "final_answer": "1862749900/29863", "answer_type": "rational", "kind": "expression", "math_text": "53918 + 57526 * (-8782) / (-3310 - 56416)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 53918, \"b\": 57526, \"c\": -8782, \"d\": -3310, \"e\": 56416}", "seed": "8732542681210098314", "semantic_fingerprint": "sha256:deb3b496d909ef41874b4eb31e1c61531f7fac00cf12039f691b620d1b0c5afd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001922", "prompt": "What is 9426 / (-62064 / (-9411))?", "solution_steps": ["Divide: -62064 / (-9411) = 20688/3137", "Divide: 9426 / (20688/3137) = 4928227/3448"], "final_answer": "4928227/3448", "answer_type": "rational", "kind": "expression", "math_text": "9426 / (-62064 / (-9411))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9426, \"b\": -62064, \"c\": -9411}", "seed": "4830817737787785675", "semantic_fingerprint": "sha256:b268296ab7afd7acc74d926c19f628b632dd45c04ef4522714d1a6c348c10f68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001923", "prompt": "Compute: 2871 * (-9030 + (-40888))", "solution_steps": ["Add: -9030 + (-40888) = -49918", "Multiply: 2871 * (-49918) = -143314578"], "final_answer": "-143314578", "answer_type": "integer", "kind": "expression", "math_text": "2871 * (-9030 + (-40888))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2871, \"b\": -9030, \"c\": -40888}", "seed": "6448311078704445656", "semantic_fingerprint": "sha256:be802dac7394b772795f0d5ae52fb71d93364e6e7ee6cb38394c33b5390159cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001924", "prompt": "Compute: 4495 * (-8481 / 7452)", "solution_steps": ["Divide: -8481 / 7452 = -2827/2484", "Multiply: 4495 * (-2827/2484) = -12707365/2484"], "final_answer": "-12707365/2484", "answer_type": "rational", "kind": "expression", "math_text": "4495 * (-8481 / 7452)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4495, \"b\": -8481, \"c\": 7452}", "seed": "7047273180587437136", "semantic_fingerprint": "sha256:f24a36906bb12fc89a74ead74eb278ff2137d14450a1361476e24b97e688b53e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001925", "prompt": "Solve for x: 32(x + 5418) - 52008 = -36(x - 5055) + 29067", "solution_steps": ["Expand: 32x + 173376 - 52008 = -36(x - 5055) + 29067", "Expand: 32x + 173376 - 52008 = -36x + 181980 + 29067", "Combine constants: 32x + 121368 = -36x + 181980 + 29067", "Combine constants: 32x + 121368 = -36x + 211047", "Add 36x to both sides: 68x + 121368 = 211047", "Subtract 121368 from both sides: 68x = 89679", "Divide both sides by 68: x = 89679/68"], "final_answer": "89679/68", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 5418) - 52008 = -36(x - 5055) + 29067", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 5418, \"c\": 52008, \"d\": -36, \"e\": 5055, \"f\": 29067}", "seed": "5078324294754668413", "semantic_fingerprint": "sha256:59eb96a46e78743731e16de17d699b74bdcb8c2430bdf599bacbab06b60f6d1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001926", "prompt": "Calculate: 1228 / (-5448 - 37456) - (-34226 + (-8038))", "solution_steps": ["Subtract: -5448 - 37456 = -42904", "Divide: 1228 / (-42904) = -307/10726", "Add: -34226 + (-8038) = -42264", "Subtract: -307/10726 - (-42264) = 453323357/10726"], "final_answer": "453323357/10726", "answer_type": "rational", "kind": "expression", "math_text": "1228 / (-5448 - 37456) - (-34226 + (-8038))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1228, \"b\": -5448, \"c\": 37456, \"d\": -34226, \"e\": -8038}", "seed": "12914348927456217919", "semantic_fingerprint": "sha256:eb9b048e5be2ac50b3bdbf88249a364fb6e3b795ed446a9b03a58c6d75e56bbe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001927", "prompt": "What is 10543 + (-8468) * (-6202 * 3773)?", "solution_steps": ["Multiply: -6202 * 3773 = -23400146", "Multiply: -8468 * (-23400146) = 198152436328", "Add: 10543 + 198152436328 = 198152446871"], "final_answer": "198152446871", "answer_type": "integer", "kind": "expression", "math_text": "10543 + (-8468) * (-6202 * 3773)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10543, \"b\": -8468, \"c\": -6202, \"d\": 3773}", "seed": "7946809419084728186", "semantic_fingerprint": "sha256:24da350cb8887e596569b9f757d8f9161be80c55a8fbe3d146bf7384ea53ab59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001928", "prompt": "Calculate: 38641 / (-1498)", "solution_steps": ["Divide: 38641 / (-1498) = -38641/1498"], "final_answer": "-38641/1498", "answer_type": "rational", "kind": "expression", "math_text": "38641 / (-1498)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38641, \"b\": -1498}", "seed": "3306973393569267290", "semantic_fingerprint": "sha256:b3a834afa4b0dbf207f6aa9373a9cbccf05eade11283be2124ee0a161c064648", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001929", "prompt": "What is -3268 * (-5296) + (-8650)?", "solution_steps": ["Multiply: -3268 * (-5296) = 17307328", "Add: 17307328 + (-8650) = 17298678"], "final_answer": "17298678", "answer_type": "integer", "kind": "expression", "math_text": "-3268 * (-5296) + (-8650)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3268, \"b\": -5296, \"c\": -8650}", "seed": "9308354675015573530", "semantic_fingerprint": "sha256:80484076e0e2cdbbb21e20687f31cda5f7aeb969106c3ae3834674e953e8a9f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001930", "prompt": "Solve the equation x + 3969 = 22x for x.", "solution_steps": ["Subtract 22x from both sides: -21x + 3969 = 0", "Subtract 3969 from both sides: -21x = -3969", "Divide both sides by -21: x = 189"], "final_answer": "189", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3969 = 22x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": 3969, \"x\": 189}", "seed": "15827845305087411961", "semantic_fingerprint": "sha256:47384d81c03b577129810669a746551b09dcdf40395e5b0b7a1fe79d271d31dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001931", "prompt": "What is 6026 - (-8871 + 38855)?", "solution_steps": ["Add: -8871 + 38855 = 29984", "Subtract: 6026 - 29984 = -23958"], "final_answer": "-23958", "answer_type": "integer", "kind": "expression", "math_text": "6026 - (-8871 + 38855)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6026, \"b\": -8871, \"c\": 38855}", "seed": "13054275668181735466", "semantic_fingerprint": "sha256:c346140348954b26f3473a8c164193f22fbda3e89ccc7beade84e723579de3d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001932", "prompt": "Evaluate: 9994 / 3552 + (-1012)", "solution_steps": ["Divide: 9994 / 3552 = 4997/1776", "Add: 4997/1776 + (-1012) = -1792315/1776"], "final_answer": "-1792315/1776", "answer_type": "rational", "kind": "expression", "math_text": "9994 / 3552 + (-1012)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9994, \"b\": 3552, \"c\": -1012}", "seed": "5346843134761841254", "semantic_fingerprint": "sha256:8ae1682467de8eb89310669b28a42f3db5403e3ec1e26e1f2fe9fa7819a5431e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001933", "prompt": "What value of x satisfies x = -24(x - 2635) - 66165?", "solution_steps": ["Expand: x = -24x + 63240 - 66165", "Combine constants: x = -24x - 2925", "Add 24x to both sides: 25x = -2925", "Divide both sides by 25: x = -117"], "final_answer": "-117", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -24(x - 2635) - 66165", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 2635, \"d\": -66165, \"x\": -117}", "seed": "8191567825759284451", "semantic_fingerprint": "sha256:dca8b7509d0ea081c559315c1e6f9225b27611c0590ea2f4be2843daea079cc7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001934", "prompt": "Calculate: 8585 + (-60544)", "solution_steps": ["Add: 8585 + (-60544) = -51959"], "final_answer": "-51959", "answer_type": "integer", "kind": "expression", "math_text": "8585 + (-60544)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8585, \"b\": -60544}", "seed": "7905068519770749099", "semantic_fingerprint": "sha256:7aea6b0dfed5c69a6c6c18687968c6e204b689836593173c26c485b3575fe496", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001935", "prompt": "Evaluate: (-9451 + (-31964)) * (-3731) / 1656", "solution_steps": ["Add: -9451 + (-31964) = -41415", "Multiply: -41415 * (-3731) = 154519365", "Divide: 154519365 / 1656 = 51506455/552"], "final_answer": "51506455/552", "answer_type": "rational", "kind": "expression", "math_text": "(-9451 + (-31964)) * (-3731) / 1656", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9451, \"b\": -31964, \"c\": -3731, \"d\": 1656}", "seed": "8327323505997789049", "semantic_fingerprint": "sha256:475c0618dd7b491ae20504ff3d263231837024a834b06c10229cda8995c8805c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001936", "prompt": "Calculate: -29610 + (9599 + (-97918)) + (-92911)", "solution_steps": ["Add: 9599 + (-97918) = -88319", "Add: -29610 + (-88319) = -117929", "Add: -117929 + (-92911) = -210840"], "final_answer": "-210840", "answer_type": "integer", "kind": "expression", "math_text": "-29610 + (9599 + (-97918)) + (-92911)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29610, \"b\": 9599, \"c\": -97918, \"d\": -92911}", "seed": "18303171553278754492", "semantic_fingerprint": "sha256:407bbb88247d62c7e4be63c0c1ed1501fba617f1cff3661685079456799b752c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001937", "prompt": "Solve for x: x - 1972 = 13(x + 36767) + 69956", "solution_steps": ["Expand: x - 1972 = 13x + 477971 + 69956", "Combine constants: x - 1972 = 13x + 547927", "Subtract 13x from both sides: -12x - 1972 = 547927", "Add 1972 to both sides: -12x = 549899", "Divide both sides by -12: x = -549899/12"], "final_answer": "-549899/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1972 = 13(x + 36767) + 69956", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1972, \"b\": 13, \"c\": 36767, \"d\": 69956}", "seed": "5407908043154370785", "semantic_fingerprint": "sha256:7b8017ddeb955b83da39a4d68229e9dc0cc925e2cc0eaa5a5486e56bf8fdd7a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001938", "prompt": "Evaluate: -1837 - 28953 + 37057", "solution_steps": ["Subtract: -1837 - 28953 = -30790", "Add: -30790 + 37057 = 6267"], "final_answer": "6267", "answer_type": "integer", "kind": "expression", "math_text": "-1837 - 28953 + 37057", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1837, \"b\": 28953, \"c\": 37057}", "seed": "15467749338285082579", "semantic_fingerprint": "sha256:abeb425b95ddbe314e1671c2dafe5424fbfd77847eb5bed84e5c545ce1740319", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001939", "prompt": "Evaluate: 9241 * (-9830 + (-3346))", "solution_steps": ["Add: -9830 + (-3346) = -13176", "Multiply: 9241 * (-13176) = -121759416"], "final_answer": "-121759416", "answer_type": "integer", "kind": "expression", "math_text": "9241 * (-9830 + (-3346))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9241, \"b\": -9830, \"c\": -3346}", "seed": "15390725604625345116", "semantic_fingerprint": "sha256:531b6bcc14d521fb3dd3c4678e1cb270f3ad70ce260d88d7e5a8f55b6c39704d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001940", "prompt": "Calculate: 2416 * (-9706 / (-28271) + (-4401))", "solution_steps": ["Divide: -9706 / (-28271) = 9706/28271", "Add: 9706/28271 + (-4401) = -124410965/28271", "Multiply: 2416 * (-124410965/28271) = -300576891440/28271"], "final_answer": "-300576891440/28271", "answer_type": "rational", "kind": "expression", "math_text": "2416 * (-9706 / (-28271) + (-4401))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2416, \"b\": -9706, \"c\": -28271, \"d\": -4401}", "seed": "3764905770273022415", "semantic_fingerprint": "sha256:023484866281386fd7defd87a18975edf6ce94758b21bdd39dbe3545770dfc4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001941", "prompt": "Solve for x: -30(x - 39493) - 92205 = 36x", "solution_steps": ["Expand: -30x + 1184790 - 92205 = 36x", "Combine constants: -30x + 1092585 = 36x", "Subtract 36x from both sides: -66x + 1092585 = 0", "Subtract 1092585 from both sides: -66x = -1092585", "Divide both sides by -66: x = 364195/22"], "final_answer": "364195/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x - 39493) - 92205 = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 39493, \"c\": 92205, \"d\": 36}", "seed": "14232405236564745202", "semantic_fingerprint": "sha256:057ec4e61f6dd99374c01da2c6addd793ed9e5da0bc5fc7f057048ed65653104", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001942", "prompt": "Solve the equation x - 54353 = 16(x - 3293) for x.", "solution_steps": ["Expand: x - 54353 = 16x - 52688", "Subtract 16x from both sides: -15x - 54353 = -52688", "Add 54353 to both sides: -15x = 1665", "Divide both sides by -15: x = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 54353 = 16(x - 3293)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3293, \"d\": -54353, \"x\": -111}", "seed": "3007663332278473573", "semantic_fingerprint": "sha256:e043feb78fa7af97a7cd9f3528b5b79fcfd8b38caf772b616472449af62b617b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001943", "prompt": "What is 2634 / (2881 + 96175)?", "solution_steps": ["Add: 2881 + 96175 = 99056", "Divide: 2634 / 99056 = 1317/49528"], "final_answer": "1317/49528", "answer_type": "rational", "kind": "expression", "math_text": "2634 / (2881 + 96175)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2634, \"b\": 2881, \"c\": 96175}", "seed": "12309392700008172279", "semantic_fingerprint": "sha256:66e7baa7f0ad7a21e40a45b369e4cfd9617733d257776424fa03d499379dbe5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001944", "prompt": "Calculate: (-3256 - 5878) * (-4675)", "solution_steps": ["Subtract: -3256 - 5878 = -9134", "Multiply: -9134 * (-4675) = 42701450"], "final_answer": "42701450", "answer_type": "integer", "kind": "expression", "math_text": "(-3256 - 5878) * (-4675)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3256, \"b\": 5878, \"c\": -4675}", "seed": "14370507485828005302", "semantic_fingerprint": "sha256:df119ed8216e4ad328f64b127804f49eb31cd8711bd40fbf0302fd47004a98f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001945", "prompt": "Compute: 6943 * 1061 + (-57552)", "solution_steps": ["Multiply: 6943 * 1061 = 7366523", "Add: 7366523 + (-57552) = 7308971"], "final_answer": "7308971", "answer_type": "integer", "kind": "expression", "math_text": "6943 * 1061 + (-57552)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6943, \"b\": 1061, \"c\": -57552}", "seed": "5030119395605644173", "semantic_fingerprint": "sha256:510d82ef9def3f19e9f8b361b2ede4596f0119ba9e86163c09454780d352d046", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001946", "prompt": "Compute: 21001 + 86185", "solution_steps": ["Add: 21001 + 86185 = 107186"], "final_answer": "107186", "answer_type": "integer", "kind": "expression", "math_text": "21001 + 86185", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 21001, \"b\": 86185}", "seed": "6229185839219847700", "semantic_fingerprint": "sha256:6b99b40e394c6f18102d3f2f5d3d30c2ec726f2c4b06814868392c929d85bba4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001947", "prompt": "What is 4467 - (-7108 + 6027)?", "solution_steps": ["Add: -7108 + 6027 = -1081", "Subtract: 4467 - (-1081) = 5548"], "final_answer": "5548", "answer_type": "integer", "kind": "expression", "math_text": "4467 - (-7108 + 6027)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4467, \"b\": -7108, \"c\": 6027}", "seed": "17530447389977451393", "semantic_fingerprint": "sha256:6badd36f62b347107599f37fcbac74b066aae795e7dc631a53ded6e9a4ad3384", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001948", "prompt": "Calculate: 72355 - 3965 - 7938 - (-45675)", "solution_steps": ["Subtract: 72355 - 3965 = 68390", "Subtract: 68390 - 7938 = 60452", "Subtract: 60452 - (-45675) = 106127"], "final_answer": "106127", "answer_type": "integer", "kind": "expression", "math_text": "72355 - 3965 - 7938 - (-45675)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72355, \"b\": 3965, \"c\": 7938, \"d\": -45675}", "seed": "11705556348471071564", "semantic_fingerprint": "sha256:168cf9b0af1c1dee316a60b0bbb2b31f9b7068b044613aecd674b84570eb9693", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001949", "prompt": "Solve the equation 13(x + 2060) = -5353 for x.", "solution_steps": ["Expand: 13x + 26780 = -5353", "Subtract 26780 from both sides: 13x = -32133", "Divide both sides by 13: x = -32133/13"], "final_answer": "-32133/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 2060) = -5353", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 2060, \"c\": -5353}", "seed": "7962128653401474682", "semantic_fingerprint": "sha256:6843a2fe6001032a121db103ff303a67527b9a8c802c80aadbf19ff35d58386b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001950", "prompt": "Calculate: (-29446 - (-7037)) / (4405 / 4797)", "solution_steps": ["Subtract: -29446 - (-7037) = -22409", "Divide: 4405 / 4797 = 4405/4797", "Divide: -22409 / (4405/4797) = -107495973/4405"], "final_answer": "-107495973/4405", "answer_type": "rational", "kind": "expression", "math_text": "(-29446 - (-7037)) / (4405 / 4797)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29446, \"b\": -7037, \"c\": 4405, \"d\": 4797}", "seed": "15906696086535186054", "semantic_fingerprint": "sha256:45953b664b4910ff1954708a06b313a67314cab79a4215fd24b69e1d76dda6a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001951", "prompt": "Calculate: 22413 / (42003 / 71884)", "solution_steps": ["Divide: 42003 / 71884 = 42003/71884", "Divide: 22413 / (42003/71884) = 537045364/14001"], "final_answer": "537045364/14001", "answer_type": "rational", "kind": "expression", "math_text": "22413 / (42003 / 71884)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22413, \"b\": 42003, \"c\": 71884}", "seed": "11391512035888145558", "semantic_fingerprint": "sha256:9905909e8aea8ab86dbccf9230cd3b5bbbe709192d48cee085b1efd3d6514060", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001952", "prompt": "Compute: -88261 + 69568 / 9870", "solution_steps": ["Divide: 69568 / 9870 = 34784/4935", "Add: -88261 + 34784/4935 = -435533251/4935"], "final_answer": "-435533251/4935", "answer_type": "rational", "kind": "expression", "math_text": "-88261 + 69568 / 9870", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88261, \"b\": 69568, \"c\": 9870}", "seed": "319484816875300261", "semantic_fingerprint": "sha256:d9ed30752cf4628f32eff799e728f12f0038aeb7b833baef8956d8f7081e4ef2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001953", "prompt": "Calculate: 4574 - 51767 / (-2686 + 98785 - (10040 - 8401))", "solution_steps": ["Add: -2686 + 98785 = 96099", "Subtract: 10040 - 8401 = 1639", "Subtract: 96099 - 1639 = 94460", "Divide: 51767 / 94460 = 51767/94460", "Subtract: 4574 - 51767/94460 = 432008273/94460"], "final_answer": "432008273/94460", "answer_type": "rational", "kind": "expression", "math_text": "4574 - 51767 / (-2686 + 98785 - (10040 - 8401))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (- (+ n n) (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4574, \"b\": 51767, \"c\": -2686, \"d\": 98785, \"e\": 10040, \"f\": 8401}", "seed": "13417785664357809110", "semantic_fingerprint": "sha256:3c67e3e8c9d052934b87dedb33fe5049a45d316961dabb2b15792913d76ce6ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001954", "prompt": "Compute: 4559 + (-6014 + (-9185) + (3505 + 4809))", "solution_steps": ["Add: -6014 + (-9185) = -15199", "Add: 3505 + 4809 = 8314", "Add: -15199 + 8314 = -6885", "Add: 4559 + (-6885) = -2326"], "final_answer": "-2326", "answer_type": "integer", "kind": "expression", "math_text": "4559 + (-6014 + (-9185) + (3505 + 4809))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4559, \"b\": -6014, \"c\": -9185, \"d\": 3505, \"e\": 4809}", "seed": "14090577084237790894", "semantic_fingerprint": "sha256:8498db94e25644234552c6832f77dcd77f29cd8f4547d59e3197b25c7e96cc0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001955", "prompt": "What is 9742 * ((6807 - 38127) / (-7244))?", "solution_steps": ["Subtract: 6807 - 38127 = -31320", "Divide: -31320 / (-7244) = 7830/1811", "Multiply: 9742 * (7830/1811) = 76279860/1811"], "final_answer": "76279860/1811", "answer_type": "rational", "kind": "expression", "math_text": "9742 * ((6807 - 38127) / (-7244))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9742, \"b\": 6807, \"c\": 38127, \"d\": -7244}", "seed": "10767330653526663916", "semantic_fingerprint": "sha256:9d591836dd3c7dd5e801ed7f1f14252712c5eb2afe744670876fc5d44628ecb8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001956", "prompt": "Evaluate: (-8513 - (-55495) - (-55147)) / 5830 + 3752", "solution_steps": ["Subtract: -8513 - (-55495) = 46982", "Subtract: 46982 - (-55147) = 102129", "Divide: 102129 / 5830 = 102129/5830", "Add: 102129/5830 + 3752 = 21976289/5830"], "final_answer": "21976289/5830", "answer_type": "rational", "kind": "expression", "math_text": "(-8513 - (-55495) - (-55147)) / 5830 + 3752", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8513, \"b\": -55495, \"c\": -55147, \"d\": 5830, \"e\": 3752}", "seed": "16860261455509885316", "semantic_fingerprint": "sha256:63e8bd178ebb9df1fa3c1ce0c0d0589af3ae282d01925b4615c1366af874d05e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001957", "prompt": "Solve the equation x - 3175 = 40(x + 2430) - 98776 for x.", "solution_steps": ["Expand: x - 3175 = 40x + 97200 - 98776", "Combine constants: x - 3175 = 40x - 1576", "Subtract 40x from both sides: -39x - 3175 = -1576", "Add 3175 to both sides: -39x = 1599", "Divide both sides by -39: x = -41"], "final_answer": "-41", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3175 = 40(x + 2430) - 98776", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3175, \"b\": 40, \"c\": 2430, \"e\": -98776, \"x\": -41}", "seed": "14904065044522629997", "semantic_fingerprint": "sha256:8e63f5f5599772725ab2f5251428d7801f389db771bdbecf03f78794decd3b22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001958", "prompt": "Solve for x: 36(x - 86886) = -32(x - 33729) + 6251", "solution_steps": ["Expand: 36x - 3127896 = -32(x - 33729) + 6251", "Expand: 36x - 3127896 = -32x + 1079328 + 6251", "Combine constants: 36x - 3127896 = -32x + 1085579", "Add 32x to both sides: 68x - 3127896 = 1085579", "Add 3127896 to both sides: 68x = 4213475", "Divide both sides by 68: x = 4213475/68"], "final_answer": "4213475/68", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 86886) = -32(x - 33729) + 6251", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 86886, \"c\": -32, \"d\": 33729, \"e\": 6251}", "seed": "12292558436114762937", "semantic_fingerprint": "sha256:3bb70ab5a6b5a8fb8e2599bb3830c4d53abfc9d9926cbbb9a999f8b842df8e2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001959", "prompt": "Compute: (1219 - (-2259) * 63818) / (-6187 / (-3771))", "solution_steps": ["Multiply: -2259 * 63818 = -144164862", "Subtract: 1219 - (-144164862) = 144166081", "Divide: -6187 / (-3771) = 6187/3771", "Divide: 144166081 / (6187/3771) = 543650291451/6187"], "final_answer": "543650291451/6187", "answer_type": "rational", "kind": "expression", "math_text": "(1219 - (-2259) * 63818) / (-6187 / (-3771))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1219, \"b\": -2259, \"c\": 63818, \"d\": -6187, \"e\": -3771}", "seed": "8992494284881600510", "semantic_fingerprint": "sha256:d7c4afa85c4bb7783bf38cdec9c313c4044837d81703584ca38b33f3cdaf3af2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001960", "prompt": "What is (49957 + 8640) / 6741?", "solution_steps": ["Add: 49957 + 8640 = 58597", "Divide: 58597 / 6741 = 8371/963"], "final_answer": "8371/963", "answer_type": "rational", "kind": "expression", "math_text": "(49957 + 8640) / 6741", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 49957, \"b\": 8640, \"c\": 6741}", "seed": "14732348282836959127", "semantic_fingerprint": "sha256:340a4aaae7b04f4dc3536da95ee57d9f2bad0d8f91ea6d8fb79fccf2b4f1cffe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001961", "prompt": "Compute: -56364 * (-2491 / (-4971)) * (-8621 + 8582)", "solution_steps": ["Divide: -2491 / (-4971) = 2491/4971", "Multiply: -56364 * (2491/4971) = -46800908/1657", "Add: -8621 + 8582 = -39", "Multiply: (-46800908/1657) * (-39) = 1825235412/1657"], "final_answer": "1825235412/1657", "answer_type": "rational", "kind": "expression", "math_text": "-56364 * (-2491 / (-4971)) * (-8621 + 8582)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -56364, \"b\": -2491, \"c\": -4971, \"d\": -8621, \"e\": 8582}", "seed": "11092334640472892568", "semantic_fingerprint": "sha256:de836b9a518ddd043b8eae81c0c6790864add83443f2ef29118ef9f5ee15c4d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001962", "prompt": "Find x: 23(x + 33896) - 5486 = 17(x + 41239) + 73767", "solution_steps": ["Expand: 23x + 779608 - 5486 = 17(x + 41239) + 73767", "Expand: 23x + 779608 - 5486 = 17x + 701063 + 73767", "Combine constants: 23x + 774122 = 17x + 701063 + 73767", "Combine constants: 23x + 774122 = 17x + 774830", "Subtract 17x from both sides: 6x + 774122 = 774830", "Subtract 774122 from both sides: 6x = 708", "Divide both sides by 6: x = 118"], "final_answer": "118", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 33896) - 5486 = 17(x + 41239) + 73767", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 33896, \"c\": 5486, \"d\": 17, \"e\": 41239, \"g\": 73767, \"x\": 118}", "seed": "5343014269009761560", "semantic_fingerprint": "sha256:04cf0c64cb72117f1bb7730d4cc94d6b127c16801a1fbdda0e4fdbdea6b4197b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001963", "prompt": "Solve for x: 25x - 4901 = 40x", "solution_steps": ["Subtract 40x from both sides: -15x - 4901 = 0", "Add 4901 to both sides: -15x = 4901", "Divide both sides by -15: x = -4901/15"], "final_answer": "-4901/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x - 4901 = 40x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 4901, \"c\": 40}", "seed": "16322916137691404388", "semantic_fingerprint": "sha256:dcf032a088ead1a2ad52cce412541b3f5966fd7916014798c0a92c5210f75f1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001964", "prompt": "Calculate: -6711 + (-2466 / (-3961 - (-68473)) + (1186 - 67578))", "solution_steps": ["Subtract: -3961 - (-68473) = 64512", "Divide: -2466 / 64512 = -137/3584", "Subtract: 1186 - 67578 = -66392", "Add: -137/3584 + (-66392) = -237949065/3584", "Add: -6711 + (-237949065/3584) = -262001289/3584"], "final_answer": "-262001289/3584", "answer_type": "rational", "kind": "expression", "math_text": "-6711 + (-2466 / (-3961 - (-68473)) + (1186 - 67578))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n (- n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6711, \"b\": -2466, \"c\": -3961, \"d\": -68473, \"e\": 1186, \"f\": 67578}", "seed": "6140581215418851731", "semantic_fingerprint": "sha256:398daed2357ff1e9b4a085935bb18bc1acb1896a36047951858b83604305fed5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001965", "prompt": "Evaluate: -4341 - (-9327) - (-2537) + (-1135) / (-8467)", "solution_steps": ["Subtract: -4341 - (-9327) = 4986", "Subtract: 4986 - (-2537) = 7523", "Divide: -1135 / (-8467) = 1135/8467", "Add: 7523 + 1135/8467 = 63698376/8467"], "final_answer": "63698376/8467", "answer_type": "rational", "kind": "expression", "math_text": "-4341 - (-9327) - (-2537) + (-1135) / (-8467)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4341, \"b\": -9327, \"c\": -2537, \"d\": -1135, \"e\": -8467}", "seed": "454622073782258894", "semantic_fingerprint": "sha256:441282a3d5c6088e033626c2b89c7110901d2f657a43eaf5d3a6d8496fc2bfa0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001966", "prompt": "What is 4096 / (-9078)?", "solution_steps": ["Divide: 4096 / (-9078) = -2048/4539"], "final_answer": "-2048/4539", "answer_type": "rational", "kind": "expression", "math_text": "4096 / (-9078)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4096, \"b\": -9078}", "seed": "16533891935484774445", "semantic_fingerprint": "sha256:a81ae49f45d35a5f80f3cae2b83dd5b1abc2864d0978706d65265b3fbabdcd2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001967", "prompt": "What is 37878 - 5449 + (-40610) / (-5023)?", "solution_steps": ["Subtract: 37878 - 5449 = 32429", "Divide: -40610 / (-5023) = 40610/5023", "Add: 32429 + 40610/5023 = 162931477/5023"], "final_answer": "162931477/5023", "answer_type": "rational", "kind": "expression", "math_text": "37878 - 5449 + (-40610) / (-5023)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37878, \"b\": 5449, \"c\": -40610, \"d\": -5023}", "seed": "16788073273007340914", "semantic_fingerprint": "sha256:3df9d113cafde9f2d21afaae29ca820f64d815b1a7aa73d000b5bc981e4c4e23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001968", "prompt": "Calculate: 99359 * (11429 + (-39903)) - (-8270 - 7134)", "solution_steps": ["Add: 11429 + (-39903) = -28474", "Multiply: 99359 * (-28474) = -2829148166", "Subtract: -8270 - 7134 = -15404", "Subtract: -2829148166 - (-15404) = -2829132762"], "final_answer": "-2829132762", "answer_type": "integer", "kind": "expression", "math_text": "99359 * (11429 + (-39903)) - (-8270 - 7134)", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 99359, \"b\": 11429, \"c\": -39903, \"d\": -8270, \"e\": 7134}", "seed": "2694215388762660144", "semantic_fingerprint": "sha256:f6b440e3c318f1f1ef4736914c1a39f78e39a25c70a1573e3e39a472597b2441", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001969", "prompt": "What value of x satisfies x + 66008 = 23x + 61740?", "solution_steps": ["Subtract 23x from both sides: -22x + 66008 = 61740", "Subtract 66008 from both sides: -22x = -4268", "Divide both sides by -22: x = 194"], "final_answer": "194", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 66008 = 23x + 61740", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 66008, \"b\": 23, \"d\": 61740, \"x\": 194}", "seed": "10815627789198089580", "semantic_fingerprint": "sha256:d3131faa3f1a3679c3aaf1d4c666c3e6596494527d3af862c81ccf55c34817b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001970", "prompt": "Evaluate: -2591 / 52682", "solution_steps": ["Divide: -2591 / 52682 = -2591/52682"], "final_answer": "-2591/52682", "answer_type": "rational", "kind": "expression", "math_text": "-2591 / 52682", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2591, \"b\": 52682}", "seed": "3677524536055502956", "semantic_fingerprint": "sha256:5fdba26d92018d3606a242ada5df754e527ea750df95ec3cfeac985711383dd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001971", "prompt": "What is 69475 * (-13662) / 5552?", "solution_steps": ["Multiply: 69475 * (-13662) = -949167450", "Divide: -949167450 / 5552 = -474583725/2776"], "final_answer": "-474583725/2776", "answer_type": "rational", "kind": "expression", "math_text": "69475 * (-13662) / 5552", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69475, \"b\": -13662, \"c\": 5552}", "seed": "7437426657985544124", "semantic_fingerprint": "sha256:b1b0451add16ab28025147e9c30746b92d073080dececcefe191babce9af6ad6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001972", "prompt": "What is 90973 / (-83956) + 9438?", "solution_steps": ["Divide: 90973 / (-83956) = -90973/83956", "Add: -90973/83956 + 9438 = 792285755/83956"], "final_answer": "792285755/83956", "answer_type": "rational", "kind": "expression", "math_text": "90973 / (-83956) + 9438", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90973, \"b\": -83956, \"c\": 9438}", "seed": "17603545346084750898", "semantic_fingerprint": "sha256:2ec137d3870f16d19ee5a7590392a75bb60e34ea4b1992d784ca219bdab25049", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001973", "prompt": "Solve the equation x = 35(x + 2704) for x.", "solution_steps": ["Expand: x = 35x + 94640", "Subtract 35x from both sides: -34x = 94640", "Divide both sides by -34: x = -47320/17"], "final_answer": "-47320/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 35(x + 2704)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 2704}", "seed": "3895342249570189344", "semantic_fingerprint": "sha256:d87e3dc8b5e1970235a7081434114ec3b46c4c6b4ab425407ac802e1d1b7250b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001974", "prompt": "Evaluate: -32237 / (-9456) * 6855 * 6779", "solution_steps": ["Divide: -32237 / (-9456) = 32237/9456", "Multiply: (32237/9456) * 6855 = 73661545/3152", "Multiply: (73661545/3152) * 6779 = 499351613555/3152"], "final_answer": "499351613555/3152", "answer_type": "rational", "kind": "expression", "math_text": "-32237 / (-9456) * 6855 * 6779", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32237, \"b\": -9456, \"c\": 6855, \"d\": 6779}", "seed": "6339937359322554393", "semantic_fingerprint": "sha256:695fe635e002d01f285f62651b4c594352bd24bcb398134ce571224bfb83a459", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001975", "prompt": "Compute: -46705 + 26137", "solution_steps": ["Add: -46705 + 26137 = -20568"], "final_answer": "-20568", "answer_type": "integer", "kind": "expression", "math_text": "-46705 + 26137", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -46705, \"b\": 26137}", "seed": "10479562880046992049", "semantic_fingerprint": "sha256:254a2ad57fc542d62c852360b7403e6ebcf04b1c3caa55eb93f1d3d80bc83dcb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001976", "prompt": "Find x: 13(x + 4358) = 55055", "solution_steps": ["Expand: 13x + 56654 = 55055", "Subtract 56654 from both sides: 13x = -1599", "Divide both sides by 13: x = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 4358) = 55055", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 4358, \"d\": 55055, \"x\": -123}", "seed": "1471878844879504054", "semantic_fingerprint": "sha256:04c3e63f8cb9a480c6b4f042c6c192f232a056c94aaeac01fe78d8b149f6820b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001977", "prompt": "Compute: -50941 + (-77118 - (-49206 * 90668 + 7564))", "solution_steps": ["Multiply: -49206 * 90668 = -4461409608", "Add: -4461409608 + 7564 = -4461402044", "Subtract: -77118 - (-4461402044) = 4461324926", "Add: -50941 + 4461324926 = 4461273985"], "final_answer": "4461273985", "answer_type": "integer", "kind": "expression", "math_text": "-50941 + (-77118 - (-49206 * 90668 + 7564))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -50941, \"b\": -77118, \"c\": -49206, \"d\": 90668, \"e\": 7564}", "seed": "14340028817506596189", "semantic_fingerprint": "sha256:5c29e88252cac61f6b583aa6db9ea1e8c6e738b1c46b053a88dcff68e3f42712", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001978", "prompt": "What is 2309 - 6312 - (-1963 - 46604)?", "solution_steps": ["Subtract: 2309 - 6312 = -4003", "Subtract: -1963 - 46604 = -48567", "Subtract: -4003 - (-48567) = 44564"], "final_answer": "44564", "answer_type": "integer", "kind": "expression", "math_text": "2309 - 6312 - (-1963 - 46604)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2309, \"b\": 6312, \"c\": -1963, \"d\": 46604}", "seed": "8801054201556801204", "semantic_fingerprint": "sha256:64eb00bf5548a2925b30e2dcae2e175eb1dbcdd6c948e98345cf68c77ab3d9ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001979", "prompt": "Find x: -32(x - 3801) - 9905 = -26x", "solution_steps": ["Expand: -32x + 121632 - 9905 = -26x", "Combine constants: -32x + 111727 = -26x", "Add 26x to both sides: -6x + 111727 = 0", "Subtract 111727 from both sides: -6x = -111727", "Divide both sides by -6: x = 111727/6"], "final_answer": "111727/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x - 3801) - 9905 = -26x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 3801, \"c\": 9905, \"d\": -26}", "seed": "6668096826984213746", "semantic_fingerprint": "sha256:8fdb0992ee8abbab5a085c248d1b4a2269a58c2e151ca104dcf37951e613bf59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001980", "prompt": "Evaluate: -5427 + (-4601)", "solution_steps": ["Add: -5427 + (-4601) = -10028"], "final_answer": "-10028", "answer_type": "integer", "kind": "expression", "math_text": "-5427 + (-4601)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5427, \"b\": -4601}", "seed": "5747804062242850168", "semantic_fingerprint": "sha256:66bec1f27bb7aeaab49e3aa8c4361ae40d5f9bb913f97eb4f19bfd86c9560f5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001981", "prompt": "Evaluate: (2397 * 9874 + (7221 - 6116 * (-79125))) / (-38027)", "solution_steps": ["Multiply: 2397 * 9874 = 23667978", "Multiply: 6116 * (-79125) = -483928500", "Subtract: 7221 - (-483928500) = 483935721", "Add: 23667978 + 483935721 = 507603699", "Divide: 507603699 / (-38027) = -507603699/38027"], "final_answer": "-507603699/38027", "answer_type": "rational", "kind": "expression", "math_text": "(2397 * 9874 + (7221 - 6116 * (-79125))) / (-38027)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n n) (- n (* n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2397, \"b\": 9874, \"c\": 7221, \"d\": 6116, \"e\": -79125, \"f\": -38027}", "seed": "17204223189106220495", "semantic_fingerprint": "sha256:83baf9598455b46e28434793f8fe8186eca81429fb713620468f46870c55e8d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001982", "prompt": "What value of x satisfies 38(x - 5693) - 7560 = -17(x + 36908) + 55422?", "solution_steps": ["Expand: 38x - 216334 - 7560 = -17(x + 36908) + 55422", "Expand: 38x - 216334 - 7560 = -17x - 627436 + 55422", "Combine constants: 38x - 223894 = -17x - 627436 + 55422", "Combine constants: 38x - 223894 = -17x - 572014", "Add 17x to both sides: 55x - 223894 = -572014", "Add 223894 to both sides: 55x = -348120", "Divide both sides by 55: x = -69624/11"], "final_answer": "-69624/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 5693) - 7560 = -17(x + 36908) + 55422", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 5693, \"c\": 7560, \"d\": -17, \"e\": 36908, \"f\": 55422}", "seed": "10435711309598206957", "semantic_fingerprint": "sha256:fb1515f33f8db31c4f0973a05900bbb5f22fd17fa9b84aec7e53f607aba5a826", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001983", "prompt": "Calculate: 9428 - 7794 / 3478 + 58498", "solution_steps": ["Divide: 7794 / 3478 = 3897/1739", "Subtract: 9428 - 3897/1739 = 16391395/1739", "Add: 16391395/1739 + 58498 = 118119417/1739"], "final_answer": "118119417/1739", "answer_type": "rational", "kind": "expression", "math_text": "9428 - 7794 / 3478 + 58498", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9428, \"b\": 7794, \"c\": 3478, \"d\": 58498}", "seed": "256035941522410703", "semantic_fingerprint": "sha256:b3d3f71e957c6f6320b5fdb575dc271012e32adf464cb121161312c2204bf035", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001984", "prompt": "What is 4580 - (-6057 - 29970)?", "solution_steps": ["Subtract: -6057 - 29970 = -36027", "Subtract: 4580 - (-36027) = 40607"], "final_answer": "40607", "answer_type": "integer", "kind": "expression", "math_text": "4580 - (-6057 - 29970)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4580, \"b\": -6057, \"c\": 29970}", "seed": "13780407105671676254", "semantic_fingerprint": "sha256:0045cc8d0e3ae514a74bc71899e20f86784e76f73913e12968b72236ce79230a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001985", "prompt": "Calculate: -77824 - (18713 - (-51336))", "solution_steps": ["Subtract: 18713 - (-51336) = 70049", "Subtract: -77824 - 70049 = -147873"], "final_answer": "-147873", "answer_type": "integer", "kind": "expression", "math_text": "-77824 - (18713 - (-51336))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -77824, \"b\": 18713, \"c\": -51336}", "seed": "909964230100979548", "semantic_fingerprint": "sha256:f4e99d6348002300c1d92a0b55fef89cd9a399f6d7159a6d1580f2933d21bdc3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001986", "prompt": "Evaluate: 3165 * (9232 / 8901 * 38877)", "solution_steps": ["Divide: 9232 / 8901 = 9232/8901", "Multiply: (9232/8901) * 38877 = 119637488/2967", "Multiply: 3165 * (119637488/2967) = 126217549840/989"], "final_answer": "126217549840/989", "answer_type": "rational", "kind": "expression", "math_text": "3165 * (9232 / 8901 * 38877)", "variable": null, "family": "expression_3op", "shape": "(* n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3165, \"b\": 9232, \"c\": 8901, \"d\": 38877}", "seed": "7809623712219235067", "semantic_fingerprint": "sha256:63019cceb9765fad8a37dbc377bef592e28bdc3b29bf591aedd9010beb17094f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001987", "prompt": "Calculate: 2259 + (-52560) + (-4747) * (6484 * (-4543))", "solution_steps": ["Add: 2259 + (-52560) = -50301", "Multiply: 6484 * (-4543) = -29456812", "Multiply: -4747 * (-29456812) = 139831486564", "Add: -50301 + 139831486564 = 139831436263"], "final_answer": "139831436263", "answer_type": "integer", "kind": "expression", "math_text": "2259 + (-52560) + (-4747) * (6484 * (-4543))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2259, \"b\": -52560, \"c\": -4747, \"d\": 6484, \"e\": -4543}", "seed": "14124174813275287025", "semantic_fingerprint": "sha256:3b38dd3eb644ac1cca40cd633e7d40329d37a87240ea742f39c9c89acd6d884d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001988", "prompt": "What is -2588 * (-2675 / (-4674) + (-2760))?", "solution_steps": ["Divide: -2675 / (-4674) = 2675/4674", "Add: 2675/4674 + (-2760) = -12897565/4674", "Multiply: -2588 * (-12897565/4674) = 16689449110/2337"], "final_answer": "16689449110/2337", "answer_type": "rational", "kind": "expression", "math_text": "-2588 * (-2675 / (-4674) + (-2760))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2588, \"b\": -2675, \"c\": -4674, \"d\": -2760}", "seed": "16601191624936287318", "semantic_fingerprint": "sha256:2918afb503cea31916f99ee64a7c2dd3060b57e1a3a82c1d4f0e5e6c0920d316", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001989", "prompt": "Solve for x: 32x + 43352 = 21x - 22456", "solution_steps": ["Subtract 21x from both sides: 11x + 43352 = -22456", "Subtract 43352 from both sides: 11x = -65808", "Divide both sides by 11: x = -65808/11"], "final_answer": "-65808/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x + 43352 = 21x - 22456", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 43352, \"c\": 21, \"d\": 22456}", "seed": "1889482207690738051", "semantic_fingerprint": "sha256:2efbf5385c5fed989d00dafbf4a481f88f35583f4fe7cd6cc07ef0c5990a6651", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001990", "prompt": "Evaluate: 4177 / 45391", "solution_steps": ["Divide: 4177 / 45391 = 4177/45391"], "final_answer": "4177/45391", "answer_type": "rational", "kind": "expression", "math_text": "4177 / 45391", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4177, \"b\": 45391}", "seed": "1255053121330145959", "semantic_fingerprint": "sha256:140b4623da266e8efa0bb7e70a09cd5f8eba609034c08e461aa075b5c85e3a6c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001991", "prompt": "Evaluate: 4799 * (-98992) - (-12645)", "solution_steps": ["Multiply: 4799 * (-98992) = -475062608", "Subtract: -475062608 - (-12645) = -475049963"], "final_answer": "-475049963", "answer_type": "integer", "kind": "expression", "math_text": "4799 * (-98992) - (-12645)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4799, \"b\": -98992, \"c\": -12645}", "seed": "17898026863744784114", "semantic_fingerprint": "sha256:03ee3ef2e276ab2c9643f4f330c7a10351983ceb8eeb1c635444eeee8ade6c56", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001992", "prompt": "Calculate: -4117 - 1029 + (-1532) / 22967", "solution_steps": ["Subtract: -4117 - 1029 = -5146", "Divide: -1532 / 22967 = -1532/22967", "Add: -5146 + (-1532/22967) = -118189714/22967"], "final_answer": "-118189714/22967", "answer_type": "rational", "kind": "expression", "math_text": "-4117 - 1029 + (-1532) / 22967", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4117, \"b\": 1029, \"c\": -1532, \"d\": 22967}", "seed": "9254719004423404449", "semantic_fingerprint": "sha256:5ccaa5de155eb5f6caa916de7984201209d9e69833bb621c0bb5714048170d40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001993", "prompt": "Calculate: 59294 + (97443 + (6827 + (-6039 + (-1767))))", "solution_steps": ["Add: -6039 + (-1767) = -7806", "Add: 6827 + (-7806) = -979", "Add: 97443 + (-979) = 96464", "Add: 59294 + 96464 = 155758"], "final_answer": "155758", "answer_type": "integer", "kind": "expression", "math_text": "59294 + (97443 + (6827 + (-6039 + (-1767))))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (+ n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 59294, \"b\": 97443, \"c\": 6827, \"d\": -6039, \"e\": -1767}", "seed": "14844687566062591390", "semantic_fingerprint": "sha256:c2d2b9b4ee6ff1867aee74d3c7c45e80afdba2a8cdd98b3139385b46bb60b193", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001994", "prompt": "Calculate: 5938 + (66253 + (23288 + 4865))", "solution_steps": ["Add: 23288 + 4865 = 28153", "Add: 66253 + 28153 = 94406", "Add: 5938 + 94406 = 100344"], "final_answer": "100344", "answer_type": "integer", "kind": "expression", "math_text": "5938 + (66253 + (23288 + 4865))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5938, \"b\": 66253, \"c\": 23288, \"d\": 4865}", "seed": "16787862613330081264", "semantic_fingerprint": "sha256:2ce2cdf86303c3081803c0d8a0909b0a3f667582fe5e6d7da76fcbe52ac489be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001995", "prompt": "Find x: 29(x + 5458) = 14(x + 6663) - 69895", "solution_steps": ["Expand: 29x + 158282 = 14(x + 6663) - 69895", "Expand: 29x + 158282 = 14x + 93282 - 69895", "Combine constants: 29x + 158282 = 14x + 23387", "Subtract 14x from both sides: 15x + 158282 = 23387", "Subtract 158282 from both sides: 15x = -134895", "Divide both sides by 15: x = -8993"], "final_answer": "-8993", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x + 5458) = 14(x + 6663) - 69895", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 5458, \"c\": 14, \"d\": 6663, \"e\": 69895}", "seed": "9306579363680778639", "semantic_fingerprint": "sha256:10980085f03bab87cc765bde757d4c0f874492f5f3aa62077e4d4282e3bc3e01", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001996", "prompt": "What value of x satisfies -25x - 2886 = x?", "solution_steps": ["Subtract x from both sides: -26x - 2886 = 0", "Add 2886 to both sides: -26x = 2886", "Divide both sides by -26: x = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x - 2886 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"c\": -2886, \"x\": -111}", "seed": "14210956969352866794", "semantic_fingerprint": "sha256:91a3ae684811d737490fd20a4de430847c5d27219136815b44167150111225f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001997", "prompt": "Find x: x - 2591 = 38x - 9399", "solution_steps": ["Subtract 38x from both sides: -37x - 2591 = -9399", "Add 2591 to both sides: -37x = -6808", "Divide both sides by -37: x = 184"], "final_answer": "184", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2591 = 38x - 9399", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2591, \"b\": 38, \"d\": -9399, \"x\": 184}", "seed": "8960579428621930055", "semantic_fingerprint": "sha256:a54013d252b7a2ccbf9a44da2fbf2b67fc4a0175c2eeda7e072a1c2a2fbbe30e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001998", "prompt": "What is (8928 + 4933) * (-78497 - 40749)?", "solution_steps": ["Add: 8928 + 4933 = 13861", "Subtract: -78497 - 40749 = -119246", "Multiply: 13861 * (-119246) = -1652868806"], "final_answer": "-1652868806", "answer_type": "integer", "kind": "expression", "math_text": "(8928 + 4933) * (-78497 - 40749)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8928, \"b\": 4933, \"c\": -78497, \"d\": 40749}", "seed": "16985689915843255718", "semantic_fingerprint": "sha256:05c72da392b6008bf87fe77c5edc2fc1888e2330c365f230972b56aaadb7dede", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00001999", "prompt": "Solve for x: 19(x - 2923) + 10669 = x - 46254", "solution_steps": ["Expand: 19x - 55537 + 10669 = x - 46254", "Combine constants: 19x - 44868 = x - 46254", "Subtract x from both sides: 18x - 44868 = -46254", "Add 44868 to both sides: 18x = -1386", "Divide both sides by 18: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 2923) + 10669 = x - 46254", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 2923, \"c\": 10669, \"e\": -46254, \"x\": -77}", "seed": "1140100393129451267", "semantic_fingerprint": "sha256:473e569a7fa6c0e8d142233da9a8ad64c39a06bc77bf1918d05b81c7e68cf185", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002000", "prompt": "Solve for x: 20x - 3700 = 15(x + 1188) - 6404", "solution_steps": ["Expand: 20x - 3700 = 15x + 17820 - 6404", "Combine constants: 20x - 3700 = 15x + 11416", "Subtract 15x from both sides: 5x - 3700 = 11416", "Add 3700 to both sides: 5x = 15116", "Divide both sides by 5: x = 15116/5"], "final_answer": "15116/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x - 3700 = 15(x + 1188) - 6404", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3700, \"c\": 15, \"d\": 1188, \"e\": 6404}", "seed": "6785135399903697360", "semantic_fingerprint": "sha256:03a9a0599f4c04a9b6b0a0535ebbcbbdd89345123f4518ac705e30094d84988e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002001", "prompt": "What value of x satisfies -14x + 7929 = 5577?", "solution_steps": ["Subtract 7929 from both sides: -14x = -2352", "Divide both sides by -14: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x + 7929 = 5577", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 7929, \"d\": 5577, \"x\": 168}", "seed": "4649144764427834458", "semantic_fingerprint": "sha256:24a1b9b4db02bb1716d3959347905d42269de9a240c3ca4eca551b56b039e61e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002002", "prompt": "Calculate: 1717 / (-54826)", "solution_steps": ["Divide: 1717 / (-54826) = -1717/54826"], "final_answer": "-1717/54826", "answer_type": "rational", "kind": "expression", "math_text": "1717 / (-54826)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1717, \"b\": -54826}", "seed": "17338973783752915777", "semantic_fingerprint": "sha256:2292517938bcf6a79b8f6f8790d117ad5ef9a27630dc91caf0b95c0c57111fb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002003", "prompt": "Calculate: 9844 + (-23678)", "solution_steps": ["Add: 9844 + (-23678) = -13834"], "final_answer": "-13834", "answer_type": "integer", "kind": "expression", "math_text": "9844 + (-23678)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9844, \"b\": -23678}", "seed": "11175540330735803370", "semantic_fingerprint": "sha256:498d17605e13060fa14650bd220939bd5282577e39695edaf4c9124330f17df7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002004", "prompt": "Compute: -62674 * 8571 - (-8796 - (-77279))", "solution_steps": ["Multiply: -62674 * 8571 = -537178854", "Subtract: -8796 - (-77279) = 68483", "Subtract: -537178854 - 68483 = -537247337"], "final_answer": "-537247337", "answer_type": "integer", "kind": "expression", "math_text": "-62674 * 8571 - (-8796 - (-77279))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62674, \"b\": 8571, \"c\": -8796, \"d\": -77279}", "seed": "4504301859948710519", "semantic_fingerprint": "sha256:1127ebe0b1a4da9a1caba097fe4b55b46973ccf679b48141d99b68b43622fea6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002005", "prompt": "Evaluate: -2729 * 3984 * (-15750) - (-3533)", "solution_steps": ["Multiply: -2729 * 3984 = -10872336", "Multiply: -10872336 * (-15750) = 171239292000", "Subtract: 171239292000 - (-3533) = 171239295533"], "final_answer": "171239295533", "answer_type": "integer", "kind": "expression", "math_text": "-2729 * 3984 * (-15750) - (-3533)", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2729, \"b\": 3984, \"c\": -15750, \"d\": -3533}", "seed": "3005955684619510666", "semantic_fingerprint": "sha256:dfb7e67fadfb205708b0c88634b6a915b211dde4028be3b28a9ad6edd39fdb66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002006", "prompt": "Evaluate: 5373 + (-7704) / 2066", "solution_steps": ["Divide: -7704 / 2066 = -3852/1033", "Add: 5373 + (-3852/1033) = 5546457/1033"], "final_answer": "5546457/1033", "answer_type": "rational", "kind": "expression", "math_text": "5373 + (-7704) / 2066", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5373, \"b\": -7704, \"c\": 2066}", "seed": "15113270657678623205", "semantic_fingerprint": "sha256:985b6058f0747dee7808860fa73fb86635383015cb84bfd2ef556bdfb39bd033", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002007", "prompt": "Calculate: (54810 - (-65943)) / (-7475)", "solution_steps": ["Subtract: 54810 - (-65943) = 120753", "Divide: 120753 / (-7475) = -120753/7475"], "final_answer": "-120753/7475", "answer_type": "rational", "kind": "expression", "math_text": "(54810 - (-65943)) / (-7475)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54810, \"b\": -65943, \"c\": -7475}", "seed": "11750837369282608380", "semantic_fingerprint": "sha256:ca8af2525f17f969663af846fad15e96434fed675c41ec60804010677b07bf52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002008", "prompt": "What value of x satisfies x - 4466 = -7282?", "solution_steps": ["Add 4466 to both sides: x = -2816"], "final_answer": "-2816", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4466 = -7282", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4466, \"b\": -7282}", "seed": "7552025093170263131", "semantic_fingerprint": "sha256:bfd93ef64f7d595ad330a6e464cefbe88eb9ada76df6fb0fbf69ae00c2c7c17e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002009", "prompt": "Find x: 16(x + 46365) - 74312 = x", "solution_steps": ["Expand: 16x + 741840 - 74312 = x", "Combine constants: 16x + 667528 = x", "Subtract x from both sides: 15x + 667528 = 0", "Subtract 667528 from both sides: 15x = -667528", "Divide both sides by 15: x = -667528/15"], "final_answer": "-667528/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 46365) - 74312 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 46365, \"c\": 74312}", "seed": "5666611847861917347", "semantic_fingerprint": "sha256:e558cb5e6153fb3ce626b137b41c5a34ab557b47b040304b486ad3943b4485fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002010", "prompt": "Compute: -5686 - 5710 - (-7839 - 5485)", "solution_steps": ["Subtract: -5686 - 5710 = -11396", "Subtract: -7839 - 5485 = -13324", "Subtract: -11396 - (-13324) = 1928"], "final_answer": "1928", "answer_type": "integer", "kind": "expression", "math_text": "-5686 - 5710 - (-7839 - 5485)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5686, \"b\": 5710, \"c\": -7839, \"d\": 5485}", "seed": "4794353647603141151", "semantic_fingerprint": "sha256:b53eba7beeb39179d6ede1613fa3f61549d7fa37bbee7a40578169d0cc928f98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002011", "prompt": "Solve the equation 40x = 2933 for x.", "solution_steps": ["Divide both sides by 40: x = 2933/40"], "final_answer": "2933/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x = 2933", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 2933}", "seed": "13682477502264077859", "semantic_fingerprint": "sha256:fde574e2004023885c2337cc24da36b82f617e2ab96964c33b4418cb9cb0e03a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002012", "prompt": "Compute: -9523 * (-3581 * 1745)", "solution_steps": ["Multiply: -3581 * 1745 = -6248845", "Multiply: -9523 * (-6248845) = 59507750935"], "final_answer": "59507750935", "answer_type": "integer", "kind": "expression", "math_text": "-9523 * (-3581 * 1745)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9523, \"b\": -3581, \"c\": 1745}", "seed": "809824127763585059", "semantic_fingerprint": "sha256:52c73d7cca85658c34162954098e874fd9b97763685bb62fa29f140026ff6e1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002013", "prompt": "Evaluate: 84435 + (-15642 - 6366) - (23301 / (-9140) + (-34251))", "solution_steps": ["Subtract: -15642 - 6366 = -22008", "Add: 84435 + (-22008) = 62427", "Divide: 23301 / (-9140) = -23301/9140", "Add: -23301/9140 + (-34251) = -313077441/9140", "Subtract: 62427 - (-313077441/9140) = 883660221/9140"], "final_answer": "883660221/9140", "answer_type": "rational", "kind": "expression", "math_text": "84435 + (-15642 - 6366) - (23301 / (-9140) + (-34251))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 84435, \"b\": -15642, \"c\": 6366, \"d\": 23301, \"e\": -9140, \"f\": -34251}", "seed": "5711828628172477207", "semantic_fingerprint": "sha256:3b9fe7385a29cfb3662c9a5899fe85cf9d92c5b66fd237e7de0502e309fdbb48", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002014", "prompt": "What is (-9096 + 73212) * (3540 - (-9089))?", "solution_steps": ["Add: -9096 + 73212 = 64116", "Subtract: 3540 - (-9089) = 12629", "Multiply: 64116 * 12629 = 809720964"], "final_answer": "809720964", "answer_type": "integer", "kind": "expression", "math_text": "(-9096 + 73212) * (3540 - (-9089))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9096, \"b\": 73212, \"c\": 3540, \"d\": -9089}", "seed": "5802582168732028429", "semantic_fingerprint": "sha256:e9afc7c4d0c3bd07991f4923d2fd509709b6608b026d83114181ebdf86611c0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002015", "prompt": "Compute: 9495 / (-91855 - 72270)", "solution_steps": ["Subtract: -91855 - 72270 = -164125", "Divide: 9495 / (-164125) = -1899/32825"], "final_answer": "-1899/32825", "answer_type": "rational", "kind": "expression", "math_text": "9495 / (-91855 - 72270)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9495, \"b\": -91855, \"c\": 72270}", "seed": "7433691393048798630", "semantic_fingerprint": "sha256:7e25df6692b3060a1f3bebc11175f76593e80a31e99755b536a122fc33983608", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002016", "prompt": "Evaluate: 2937 - (-8021) - (-2871 + 5450 * 6574 + (-7938))", "solution_steps": ["Subtract: 2937 - (-8021) = 10958", "Multiply: 5450 * 6574 = 35828300", "Add: -2871 + 35828300 = 35825429", "Add: 35825429 + (-7938) = 35817491", "Subtract: 10958 - 35817491 = -35806533"], "final_answer": "-35806533", "answer_type": "integer", "kind": "expression", "math_text": "2937 - (-8021) - (-2871 + 5450 * 6574 + (-7938))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (+ n (* n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2937, \"b\": -8021, \"c\": -2871, \"d\": 5450, \"e\": 6574, \"f\": -7938}", "seed": "162464351047283848", "semantic_fingerprint": "sha256:cead3046882c87b597776a7ad09976063858128ebd1a1e3f92c18f4dad053d6a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002017", "prompt": "What is 5787 * (-8116 * 8750)?", "solution_steps": ["Multiply: -8116 * 8750 = -71015000", "Multiply: 5787 * (-71015000) = -410963805000"], "final_answer": "-410963805000", "answer_type": "integer", "kind": "expression", "math_text": "5787 * (-8116 * 8750)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5787, \"b\": -8116, \"c\": 8750}", "seed": "7212345056137180544", "semantic_fingerprint": "sha256:094dae53f89eab7a796eeefbac762116b802d76532a7ed68c1ddf9bf954aea50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002018", "prompt": "Find x: 14x = x - 2509", "solution_steps": ["Subtract x from both sides: 13x = -2509", "Divide both sides by 13: x = -193"], "final_answer": "-193", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = x - 2509", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"c\": -2509, \"x\": -193}", "seed": "9216551658094560172", "semantic_fingerprint": "sha256:e1e215e28061ac92d502262b685d9398a0b1ca10c621398dfcd409fae0973934", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002019", "prompt": "What is (2689 - (-31727)) * (-27108)?", "solution_steps": ["Subtract: 2689 - (-31727) = 34416", "Multiply: 34416 * (-27108) = -932948928"], "final_answer": "-932948928", "answer_type": "integer", "kind": "expression", "math_text": "(2689 - (-31727)) * (-27108)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2689, \"b\": -31727, \"c\": -27108}", "seed": "2581871890614338077", "semantic_fingerprint": "sha256:ac1a4274db938795303a937e7b1a709e3c71423e49c04ce17c8abe1c7758a4fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002020", "prompt": "Find x: 25x + 4614 = -10896", "solution_steps": ["Subtract 4614 from both sides: 25x = -15510", "Divide both sides by 25: x = -3102/5"], "final_answer": "-3102/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x + 4614 = -10896", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 4614, \"c\": -10896}", "seed": "3373458475713125926", "semantic_fingerprint": "sha256:55c52315647f523583de17ab9aa8ca8d7ec55045c0497dbeebe7fea7c96b6e92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002021", "prompt": "Find x: 20(x - 77213) - 52726 = 10725", "solution_steps": ["Expand: 20x - 1544260 - 52726 = 10725", "Combine constants: 20x - 1596986 = 10725", "Add 1596986 to both sides: 20x = 1607711", "Divide both sides by 20: x = 1607711/20"], "final_answer": "1607711/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 77213) - 52726 = 10725", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 77213, \"c\": 52726, \"d\": 10725}", "seed": "3615572442953881052", "semantic_fingerprint": "sha256:2b08da0022ed19ebc1155279b2f961a1787228ec63fad568e1b4cad5570100f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002022", "prompt": "Compute: -6061 + 9382", "solution_steps": ["Add: -6061 + 9382 = 3321"], "final_answer": "3321", "answer_type": "integer", "kind": "expression", "math_text": "-6061 + 9382", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6061, \"b\": 9382}", "seed": "13030110663446469233", "semantic_fingerprint": "sha256:53a3fb19dd83afbb42fcc8bc3dcecd7af2f747b4c624301533b83468d4fb46c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002023", "prompt": "Calculate: -5819 / (-6064)", "solution_steps": ["Divide: -5819 / (-6064) = 5819/6064"], "final_answer": "5819/6064", "answer_type": "rational", "kind": "expression", "math_text": "-5819 / (-6064)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5819, \"b\": -6064}", "seed": "11104038481282890980", "semantic_fingerprint": "sha256:286c5448bb20e092fbb862f9804583b61d3e3168a981f354ecc3683167a208bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002024", "prompt": "Find x: 27(x + 9921) = 29(x + 49404) - 67702", "solution_steps": ["Expand: 27x + 267867 = 29(x + 49404) - 67702", "Expand: 27x + 267867 = 29x + 1432716 - 67702", "Combine constants: 27x + 267867 = 29x + 1365014", "Subtract 29x from both sides: -2x + 267867 = 1365014", "Subtract 267867 from both sides: -2x = 1097147", "Divide both sides by -2: x = -1097147/2"], "final_answer": "-1097147/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 9921) = 29(x + 49404) - 67702", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 9921, \"c\": 29, \"d\": 49404, \"e\": 67702}", "seed": "12885413099886131821", "semantic_fingerprint": "sha256:43ba1749a971e888d44501a55404951f845fa25ec07051dbef76fbad0ce8c838", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002025", "prompt": "Compute: 8586 + (-72068) - 88921 * (-11371)", "solution_steps": ["Add: 8586 + (-72068) = -63482", "Multiply: 88921 * (-11371) = -1011120691", "Subtract: -63482 - (-1011120691) = 1011057209"], "final_answer": "1011057209", "answer_type": "integer", "kind": "expression", "math_text": "8586 + (-72068) - 88921 * (-11371)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8586, \"b\": -72068, \"c\": 88921, \"d\": -11371}", "seed": "6586436136676506022", "semantic_fingerprint": "sha256:11ba21f9b65ec06c479e5ea7fb10d0d9e10e9297b3d5e4e293033e563c6c41c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002026", "prompt": "What is 7766 / (-3131) + (-14795)?", "solution_steps": ["Divide: 7766 / (-3131) = -7766/3131", "Add: -7766/3131 + (-14795) = -46330911/3131"], "final_answer": "-46330911/3131", "answer_type": "rational", "kind": "expression", "math_text": "7766 / (-3131) + (-14795)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7766, \"b\": -3131, \"c\": -14795}", "seed": "10411807241825421805", "semantic_fingerprint": "sha256:214e9817ee937ef15da7d3e08cfdde48e28f7a1bd5fbbcec787331badd861d1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002027", "prompt": "Solve the equation 40(x - 55229) = -18(x + 10513) for x.", "solution_steps": ["Expand: 40x - 2209160 = -18(x + 10513)", "Expand: 40x - 2209160 = -18x - 189234", "Add 18x to both sides: 58x - 2209160 = -189234", "Add 2209160 to both sides: 58x = 2019926", "Divide both sides by 58: x = 1009963/29"], "final_answer": "1009963/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 55229) = -18(x + 10513)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 55229, \"c\": -18, \"d\": 10513}", "seed": "5634850889817663137", "semantic_fingerprint": "sha256:f490b1ce154a0988a6367cef342ea85c77e623f6ca6adde29fcfb0faab0c0540", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002028", "prompt": "Calculate: -13135 / (-82334) - 34975", "solution_steps": ["Divide: -13135 / (-82334) = 13135/82334", "Subtract: 13135/82334 - 34975 = -2879618515/82334"], "final_answer": "-2879618515/82334", "answer_type": "rational", "kind": "expression", "math_text": "-13135 / (-82334) - 34975", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13135, \"b\": -82334, \"c\": 34975}", "seed": "3712555959745099284", "semantic_fingerprint": "sha256:e6ae5c4c4cdb81da0237375e895444767ad7d9b4e064db6b4739531915b0f9da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002029", "prompt": "What is 9972 - 8499?", "solution_steps": ["Subtract: 9972 - 8499 = 1473"], "final_answer": "1473", "answer_type": "integer", "kind": "expression", "math_text": "9972 - 8499", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9972, \"b\": 8499}", "seed": "4711049463422185958", "semantic_fingerprint": "sha256:50c5bcd71bccde6427d5b248873459630d9e2437ea96f4431d0c1b3c71ceb247", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002030", "prompt": "Find x: -17x - 8772 = x - 8376", "solution_steps": ["Subtract x from both sides: -18x - 8772 = -8376", "Add 8772 to both sides: -18x = 396", "Divide both sides by -18: x = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x - 8772 = x - 8376", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 8772, \"d\": -8376, \"x\": -22}", "seed": "12403943374659590980", "semantic_fingerprint": "sha256:81266a4f75e292559a2a15de43920914d9698f892b2a47dfc568370d9e8299e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002031", "prompt": "What value of x satisfies x = 28(x - 5135) + 6885?", "solution_steps": ["Expand: x = 28x - 143780 + 6885", "Combine constants: x = 28x - 136895", "Subtract 28x from both sides: -27x = -136895", "Divide both sides by -27: x = 136895/27"], "final_answer": "136895/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x - 5135) + 6885", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 5135, \"c\": 6885}", "seed": "2565483072167280732", "semantic_fingerprint": "sha256:bed0a4f724cd488b73588774f5a3dd6bfa3e031881815f2266c115f31c80bca8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002032", "prompt": "Compute: (-93322 - 81039 * (-64422)) / (-56864 - (-9089) + 9692)", "solution_steps": ["Multiply: 81039 * (-64422) = -5220694458", "Subtract: -93322 - (-5220694458) = 5220601136", "Subtract: -56864 - (-9089) = -47775", "Add: -47775 + 9692 = -38083", "Divide: 5220601136 / (-38083) = -5220601136/38083"], "final_answer": "-5220601136/38083", "answer_type": "rational", "kind": "expression", "math_text": "(-93322 - 81039 * (-64422)) / (-56864 - (-9089) + 9692)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -93322, \"b\": 81039, \"c\": -64422, \"d\": -56864, \"e\": -9089, \"f\": 9692}", "seed": "14710011368586413181", "semantic_fingerprint": "sha256:2dcf2acc4d502c75116312e3ac8df98536a0341492c7075ea42456a63db2cb3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002033", "prompt": "What is -7630 + (92844 - 9734) / (-79824 / (-5326))?", "solution_steps": ["Subtract: 92844 - 9734 = 83110", "Divide: -79824 / (-5326) = 39912/2663", "Divide: 83110 / (39912/2663) = 110660965/19956", "Add: -7630 + 110660965/19956 = -41603315/19956"], "final_answer": "-41603315/19956", "answer_type": "rational", "kind": "expression", "math_text": "-7630 + (92844 - 9734) / (-79824 / (-5326))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7630, \"b\": 92844, \"c\": 9734, \"d\": -79824, \"e\": -5326}", "seed": "16795176091687225779", "semantic_fingerprint": "sha256:1797cfc2f9e6e04133c7c6372c429f60f073268fc057fec66cab0ab399eaa840", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002034", "prompt": "Find x: 36(x - 27137) = 20x", "solution_steps": ["Expand: 36x - 976932 = 20x", "Subtract 20x from both sides: 16x - 976932 = 0", "Add 976932 to both sides: 16x = 976932", "Divide both sides by 16: x = 244233/4"], "final_answer": "244233/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 27137) = 20x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 27137, \"c\": 20}", "seed": "17321433252894585436", "semantic_fingerprint": "sha256:51ad1187e867826d9700d0dfd2e9a62b1290d6df77d614db22c9408d711c8117", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002035", "prompt": "What is 77968 * (-2170) + 3849?", "solution_steps": ["Multiply: 77968 * (-2170) = -169190560", "Add: -169190560 + 3849 = -169186711"], "final_answer": "-169186711", "answer_type": "integer", "kind": "expression", "math_text": "77968 * (-2170) + 3849", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77968, \"b\": -2170, \"c\": 3849}", "seed": "6948191053378478263", "semantic_fingerprint": "sha256:aabbe9971e3ab4df8cc8ee208284a03923434139a552577f3ecc9c7e38afe8b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002036", "prompt": "Calculate: 3478 - 85366 / (-6707)", "solution_steps": ["Divide: 85366 / (-6707) = -85366/6707", "Subtract: 3478 - (-85366/6707) = 23412312/6707"], "final_answer": "23412312/6707", "answer_type": "rational", "kind": "expression", "math_text": "3478 - 85366 / (-6707)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3478, \"b\": 85366, \"c\": -6707}", "seed": "3025443313501892183", "semantic_fingerprint": "sha256:d118d9725be2a5bee6d5c59cb5a396964fb1ebec371ad87b2c7dcafb0f4fecf4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002037", "prompt": "Solve for x: -33(x + 57839) = 40(x + 4778) - 8586", "solution_steps": ["Expand: -33x - 1908687 = 40(x + 4778) - 8586", "Expand: -33x - 1908687 = 40x + 191120 - 8586", "Combine constants: -33x - 1908687 = 40x + 182534", "Subtract 40x from both sides: -73x - 1908687 = 182534", "Add 1908687 to both sides: -73x = 2091221", "Divide both sides by -73: x = -2091221/73"], "final_answer": "-2091221/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x + 57839) = 40(x + 4778) - 8586", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 57839, \"c\": 40, \"d\": 4778, \"e\": 8586}", "seed": "5279536561873926438", "semantic_fingerprint": "sha256:2f0e709a6ab746cfec6d1a3a4a135190e73ce44875c0c202118b5a31043807bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002038", "prompt": "Calculate: -7886 * (1620 - 8691)", "solution_steps": ["Subtract: 1620 - 8691 = -7071", "Multiply: -7886 * (-7071) = 55761906"], "final_answer": "55761906", "answer_type": "integer", "kind": "expression", "math_text": "-7886 * (1620 - 8691)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7886, \"b\": 1620, \"c\": 8691}", "seed": "3758842155137245327", "semantic_fingerprint": "sha256:006c7d69956698619c799b8fb064bb207b755fcea48b3248cb650f98b807ac0f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002039", "prompt": "Calculate: (-7862 + (5986 + 51794)) * 5437", "solution_steps": ["Add: 5986 + 51794 = 57780", "Add: -7862 + 57780 = 49918", "Multiply: 49918 * 5437 = 271404166"], "final_answer": "271404166", "answer_type": "integer", "kind": "expression", "math_text": "(-7862 + (5986 + 51794)) * 5437", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7862, \"b\": 5986, \"c\": 51794, \"d\": 5437}", "seed": "11304779869117340700", "semantic_fingerprint": "sha256:14a7ae60f28f2930ed5c1796b00f7ed0ebe2c1370115ebd5403671c9e945e4c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002040", "prompt": "Calculate: 1224 - (10509 - 79489 / (-8261))", "solution_steps": ["Divide: 79489 / (-8261) = -79489/8261", "Subtract: 10509 - (-79489/8261) = 86894338/8261", "Subtract: 1224 - 86894338/8261 = -76782874/8261"], "final_answer": "-76782874/8261", "answer_type": "rational", "kind": "expression", "math_text": "1224 - (10509 - 79489 / (-8261))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1224, \"b\": 10509, \"c\": 79489, \"d\": -8261}", "seed": "2027486489778147066", "semantic_fingerprint": "sha256:61651e8913900b5f1e9e70193d1f2258c354c2a985cf98ececf4c6c1bd01778e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002041", "prompt": "Evaluate: -43943 + 28378 + (-80553)", "solution_steps": ["Add: -43943 + 28378 = -15565", "Add: -15565 + (-80553) = -96118"], "final_answer": "-96118", "answer_type": "integer", "kind": "expression", "math_text": "-43943 + 28378 + (-80553)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43943, \"b\": 28378, \"c\": -80553}", "seed": "11618178948782440363", "semantic_fingerprint": "sha256:266d8599136cc4ef1e01fddcd5be5d579b4afce54170fb7f557db39793f91f4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002042", "prompt": "Calculate: -28489 * (-81977)", "solution_steps": ["Multiply: -28489 * (-81977) = 2335442753"], "final_answer": "2335442753", "answer_type": "integer", "kind": "expression", "math_text": "-28489 * (-81977)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -28489, \"b\": -81977}", "seed": "2818968444264831596", "semantic_fingerprint": "sha256:81b78902070c4baad5b52317c31c965f676006482565a9a41d0dad38f9ce8a97", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002043", "prompt": "Compute: 2523 / (-4671) * (42373 * 54804)", "solution_steps": ["Divide: 2523 / (-4671) = -841/1557", "Multiply: 42373 * 54804 = 2322209892", "Multiply: (-841/1557) * 2322209892 = -650992839724/519"], "final_answer": "-650992839724/519", "answer_type": "rational", "kind": "expression", "math_text": "2523 / (-4671) * (42373 * 54804)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2523, \"b\": -4671, \"c\": 42373, \"d\": 54804}", "seed": "11672688832444031935", "semantic_fingerprint": "sha256:73519ecbe013c5e7b3560541920d14a56165ab6053643556041d76e6cb6a711b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002044", "prompt": "What is -9870 - 1015 / (-92941) + (-81012)?", "solution_steps": ["Divide: 1015 / (-92941) = -1015/92941", "Subtract: -9870 - (-1015/92941) = -917326655/92941", "Add: -917326655/92941 + (-81012) = -8446662947/92941"], "final_answer": "-8446662947/92941", "answer_type": "rational", "kind": "expression", "math_text": "-9870 - 1015 / (-92941) + (-81012)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9870, \"b\": 1015, \"c\": -92941, \"d\": -81012}", "seed": "16787026064375961582", "semantic_fingerprint": "sha256:3fd8e5804edee3d911ccff0a1a13ceaaf258f913e5045ee2f30f559bf437744a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002045", "prompt": "What is (7458 - (-6129) + (-25436)) * 3620 + 33048?", "solution_steps": ["Subtract: 7458 - (-6129) = 13587", "Add: 13587 + (-25436) = -11849", "Multiply: -11849 * 3620 = -42893380", "Add: -42893380 + 33048 = -42860332"], "final_answer": "-42860332", "answer_type": "integer", "kind": "expression", "math_text": "(7458 - (-6129) + (-25436)) * 3620 + 33048", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7458, \"b\": -6129, \"c\": -25436, \"d\": 3620, \"e\": 33048}", "seed": "9469441386051007683", "semantic_fingerprint": "sha256:90929bb083b000f46768b51df608a9006e8958a4e87276ba75698674fd33c153", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002046", "prompt": "Find x: 36(x + 1867) = -21(x + 83382)", "solution_steps": ["Expand: 36x + 67212 = -21(x + 83382)", "Expand: 36x + 67212 = -21x - 1751022", "Add 21x to both sides: 57x + 67212 = -1751022", "Subtract 67212 from both sides: 57x = -1818234", "Divide both sides by 57: x = -606078/19"], "final_answer": "-606078/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 1867) = -21(x + 83382)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1867, \"c\": -21, \"d\": 83382}", "seed": "15572853304193540522", "semantic_fingerprint": "sha256:cf06a5b7c59b2f11a2fdbe480bc23f9b67b2d91a0fe5750fdce44ce1c90e7161", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002047", "prompt": "Compute: -4341 * (61020 / 7387 - (-6338))", "solution_steps": ["Divide: 61020 / 7387 = 61020/7387", "Subtract: 61020/7387 - (-6338) = 46879826/7387", "Multiply: -4341 * (46879826/7387) = -203505324666/7387"], "final_answer": "-203505324666/7387", "answer_type": "rational", "kind": "expression", "math_text": "-4341 * (61020 / 7387 - (-6338))", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4341, \"b\": 61020, \"c\": 7387, \"d\": -6338}", "seed": "3083130033822797664", "semantic_fingerprint": "sha256:4a4e38bdaaf1c87a4a962cfa4090bedc897d2a8c213c6e5315e3da0c50fd9fdb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002048", "prompt": "Compute: (-86022 + (-7600)) / (-2407) + (8250 - (-65151))", "solution_steps": ["Add: -86022 + (-7600) = -93622", "Divide: -93622 / (-2407) = 93622/2407", "Subtract: 8250 - (-65151) = 73401", "Add: 93622/2407 + 73401 = 176769829/2407"], "final_answer": "176769829/2407", "answer_type": "rational", "kind": "expression", "math_text": "(-86022 + (-7600)) / (-2407) + (8250 - (-65151))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -86022, \"b\": -7600, \"c\": -2407, \"d\": 8250, \"e\": -65151}", "seed": "2296252934852217427", "semantic_fingerprint": "sha256:102d7c2473ad779698962dafb0cb3577a1657880f2513a30f7b1c1ab41992aff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002049", "prompt": "Compute: -47314 / 2380 - 5037 * (-7174)", "solution_steps": ["Divide: -47314 / 2380 = -23657/1190", "Multiply: 5037 * (-7174) = -36135438", "Subtract: -23657/1190 - (-36135438) = 43001147563/1190"], "final_answer": "43001147563/1190", "answer_type": "rational", "kind": "expression", "math_text": "-47314 / 2380 - 5037 * (-7174)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -47314, \"b\": 2380, \"c\": 5037, \"d\": -7174}", "seed": "17389603289685091721", "semantic_fingerprint": "sha256:e23718c9ca6078f8ee467a96f2aecc8f2698e0343206db28b319f98d4f75820d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002050", "prompt": "What is 2341 * 6022 + (-3609)?", "solution_steps": ["Multiply: 2341 * 6022 = 14097502", "Add: 14097502 + (-3609) = 14093893"], "final_answer": "14093893", "answer_type": "integer", "kind": "expression", "math_text": "2341 * 6022 + (-3609)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2341, \"b\": 6022, \"c\": -3609}", "seed": "9030107339398371387", "semantic_fingerprint": "sha256:85439711975517955cafaac250a648ebb65aaaec18ccb4fc1aa4a1e268bd8af2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002051", "prompt": "Solve for x: 19(x + 3266) = 14(x + 9355) - 65421", "solution_steps": ["Expand: 19x + 62054 = 14(x + 9355) - 65421", "Expand: 19x + 62054 = 14x + 130970 - 65421", "Combine constants: 19x + 62054 = 14x + 65549", "Subtract 14x from both sides: 5x + 62054 = 65549", "Subtract 62054 from both sides: 5x = 3495", "Divide both sides by 5: x = 699"], "final_answer": "699", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x + 3266) = 14(x + 9355) - 65421", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 3266, \"c\": 14, \"d\": 9355, \"e\": 65421}", "seed": "13108705573350076443", "semantic_fingerprint": "sha256:1824e4282d2d6a27cecfc190c6c536bcd60a4cf66be4c8a7a8537040024ba892", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002052", "prompt": "Calculate: (-1843 - 3419) / (-78296)", "solution_steps": ["Subtract: -1843 - 3419 = -5262", "Divide: -5262 / (-78296) = 2631/39148"], "final_answer": "2631/39148", "answer_type": "rational", "kind": "expression", "math_text": "(-1843 - 3419) / (-78296)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1843, \"b\": 3419, \"c\": -78296}", "seed": "17570170002499682433", "semantic_fingerprint": "sha256:3f8e36a39197ea980b42c2926eab427b40c96013cfab3b9904b89fb53c18b3b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002053", "prompt": "Calculate: -22575 * (1917 * 9113)", "solution_steps": ["Multiply: 1917 * 9113 = 17469621", "Multiply: -22575 * 17469621 = -394376694075"], "final_answer": "-394376694075", "answer_type": "integer", "kind": "expression", "math_text": "-22575 * (1917 * 9113)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22575, \"b\": 1917, \"c\": 9113}", "seed": "2939480868921266837", "semantic_fingerprint": "sha256:95513adfbc795c1f1cf92b19a251c852bd511c692718731a7ed40c81626aec9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002054", "prompt": "What is 51489 + (-42075) + 3952 / (-2846 - 78209)?", "solution_steps": ["Add: 51489 + (-42075) = 9414", "Subtract: -2846 - 78209 = -81055", "Divide: 3952 / (-81055) = -304/6235", "Add: 9414 + (-304/6235) = 58695986/6235"], "final_answer": "58695986/6235", "answer_type": "rational", "kind": "expression", "math_text": "51489 + (-42075) + 3952 / (-2846 - 78209)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 51489, \"b\": -42075, \"c\": 3952, \"d\": -2846, \"e\": 78209}", "seed": "18072392835928243770", "semantic_fingerprint": "sha256:709cf4d3503ad10fa25aba5aededf09a0f8944fe95387c9cb760832aa564e59a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002055", "prompt": "Evaluate: 2353 - (-52879 + (-91018)) - 4958", "solution_steps": ["Add: -52879 + (-91018) = -143897", "Subtract: 2353 - (-143897) = 146250", "Subtract: 146250 - 4958 = 141292"], "final_answer": "141292", "answer_type": "integer", "kind": "expression", "math_text": "2353 - (-52879 + (-91018)) - 4958", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2353, \"b\": -52879, \"c\": -91018, \"d\": 4958}", "seed": "6518143180290396631", "semantic_fingerprint": "sha256:4e16f9a0a7af7c61ad925ab095d167d242fb44b2e3e644d6d4faf2758e9a52a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002056", "prompt": "Solve for x: -40(x + 1577) = x - 4456", "solution_steps": ["Expand: -40x - 63080 = x - 4456", "Subtract x from both sides: -41x - 63080 = -4456", "Add 63080 to both sides: -41x = 58624", "Divide both sides by -41: x = -58624/41"], "final_answer": "-58624/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 1577) = x - 4456", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 1577, \"c\": 4456}", "seed": "16471979164435679974", "semantic_fingerprint": "sha256:d6b33fb203ebf0b0ede12b62cef749cdbc6e5e9193b7ec6dee190aa5838ebab9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002057", "prompt": "Evaluate: (2089 * (-7540 + (35665 - (-36195))) - (-76872)) / (-8457)", "solution_steps": ["Subtract: 35665 - (-36195) = 71860", "Add: -7540 + 71860 = 64320", "Multiply: 2089 * 64320 = 134364480", "Subtract: 134364480 - (-76872) = 134441352", "Divide: 134441352 / (-8457) = -44813784/2819"], "final_answer": "-44813784/2819", "answer_type": "rational", "kind": "expression", "math_text": "(2089 * (-7540 + (35665 - (-36195))) - (-76872)) / (-8457)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n (+ n (- n n))) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2089, \"b\": -7540, \"c\": 35665, \"d\": -36195, \"e\": -76872, \"f\": -8457}", "seed": "12953169054496678087", "semantic_fingerprint": "sha256:a3a75dbe864f291e3a0327d4ba34dafec0b6f9ddcfd5726492d00f8825d6d38f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002058", "prompt": "What is -30479 - 33078?", "solution_steps": ["Subtract: -30479 - 33078 = -63557"], "final_answer": "-63557", "answer_type": "integer", "kind": "expression", "math_text": "-30479 - 33078", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -30479, \"b\": 33078}", "seed": "10729651983862829951", "semantic_fingerprint": "sha256:fb646ba697a93e1e9d6923ce314b9b66bfa4d6ca7d465e34718402d8fcbac9ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002059", "prompt": "Compute: 6318 + 64889", "solution_steps": ["Add: 6318 + 64889 = 71207"], "final_answer": "71207", "answer_type": "integer", "kind": "expression", "math_text": "6318 + 64889", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6318, \"b\": 64889}", "seed": "17392526960553920269", "semantic_fingerprint": "sha256:6f80729cfe8f1cb87f79bc1be25750468501802c91ef334def105ae47f7185ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002060", "prompt": "Evaluate: 7571 - (29631 + 1197 + 3974)", "solution_steps": ["Add: 29631 + 1197 = 30828", "Add: 30828 + 3974 = 34802", "Subtract: 7571 - 34802 = -27231"], "final_answer": "-27231", "answer_type": "integer", "kind": "expression", "math_text": "7571 - (29631 + 1197 + 3974)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7571, \"b\": 29631, \"c\": 1197, \"d\": 3974}", "seed": "11644773652694765716", "semantic_fingerprint": "sha256:1f850f85ee94069a64973bc7a5f37c47c70ed5d546280c73985c065ef8a0a37a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002061", "prompt": "Compute: (72249 - (-11578) - (-84369)) * (-5399 - (-7085) / (-5205))", "solution_steps": ["Subtract: 72249 - (-11578) = 83827", "Subtract: 83827 - (-84369) = 168196", "Divide: -7085 / (-5205) = 1417/1041", "Subtract: -5399 - 1417/1041 = -5621776/1041", "Multiply: 168196 * (-5621776/1041) = -945560236096/1041"], "final_answer": "-945560236096/1041", "answer_type": "rational", "kind": "expression", "math_text": "(72249 - (-11578) - (-84369)) * (-5399 - (-7085) / (-5205))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) n) (- n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 72249, \"b\": -11578, \"c\": -84369, \"d\": -5399, \"e\": -7085, \"f\": -5205}", "seed": "11569499287363612869", "semantic_fingerprint": "sha256:c08338253f969fb45fe8f15def23683786de1e54f294c9addfcec4711dc52c89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002062", "prompt": "Compute: 2604 * (-97470)", "solution_steps": ["Multiply: 2604 * (-97470) = -253811880"], "final_answer": "-253811880", "answer_type": "integer", "kind": "expression", "math_text": "2604 * (-97470)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2604, \"b\": -97470}", "seed": "9385572047820210078", "semantic_fingerprint": "sha256:ad1defec84f60b52b057c639907e831d110c3fa3a0cccdbff6941879c85d15fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002063", "prompt": "Evaluate: 34559 + (-6404)", "solution_steps": ["Add: 34559 + (-6404) = 28155"], "final_answer": "28155", "answer_type": "integer", "kind": "expression", "math_text": "34559 + (-6404)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 34559, \"b\": -6404}", "seed": "16416231509785996656", "semantic_fingerprint": "sha256:fa68bb75f04aee313aa455fb5213b44b93681c0ffa1c5a5cac7940dca38af5a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002064", "prompt": "Compute: -6373 * (8782 * 2843 - 2383) + 2945 * 75695", "solution_steps": ["Multiply: 8782 * 2843 = 24967226", "Subtract: 24967226 - 2383 = 24964843", "Multiply: -6373 * 24964843 = -159100944439", "Multiply: 2945 * 75695 = 222921775", "Add: -159100944439 + 222921775 = -158878022664"], "final_answer": "-158878022664", "answer_type": "integer", "kind": "expression", "math_text": "-6373 * (8782 * 2843 - 2383) + 2945 * 75695", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- (* n n) n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6373, \"b\": 8782, \"c\": 2843, \"d\": 2383, \"e\": 2945, \"f\": 75695}", "seed": "17743614636545200260", "semantic_fingerprint": "sha256:69f584f9f4d53ab1c3bd5234fc68b86bf953ec12d3ad3d25ad4c7905ccca99f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002065", "prompt": "Evaluate: 87462 + (-2844 / 8584 + (-3618))", "solution_steps": ["Divide: -2844 / 8584 = -711/2146", "Add: -711/2146 + (-3618) = -7764939/2146", "Add: 87462 + (-7764939/2146) = 179928513/2146"], "final_answer": "179928513/2146", "answer_type": "rational", "kind": "expression", "math_text": "87462 + (-2844 / 8584 + (-3618))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 87462, \"b\": -2844, \"c\": 8584, \"d\": -3618}", "seed": "10905215816485072603", "semantic_fingerprint": "sha256:9e2a44bb1215395d5231d6ce49b6ac46811a55abd60139221fa1d9f76df85508", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002066", "prompt": "Solve the equation x + 9146 = -16x + 10659 for x.", "solution_steps": ["Add 16x to both sides: 17x + 9146 = 10659", "Subtract 9146 from both sides: 17x = 1513", "Divide both sides by 17: x = 89"], "final_answer": "89", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9146 = -16x + 10659", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9146, \"b\": -16, \"d\": 10659, \"x\": 89}", "seed": "53281222990019669", "semantic_fingerprint": "sha256:7771e43f53dda1d04160688ca7b4098628329b9dc2056d7e1f9e24caa04e8f04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002067", "prompt": "Solve for x: x + 5698 = -38(x + 9251) + 82225", "solution_steps": ["Expand: x + 5698 = -38x - 351538 + 82225", "Combine constants: x + 5698 = -38x - 269313", "Add 38x to both sides: 39x + 5698 = -269313", "Subtract 5698 from both sides: 39x = -275011", "Divide both sides by 39: x = -275011/39"], "final_answer": "-275011/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5698 = -38(x + 9251) + 82225", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5698, \"b\": -38, \"c\": 9251, \"d\": 82225}", "seed": "10272269036561118559", "semantic_fingerprint": "sha256:adfbc939373b86c1da07861e8f2afd1992ce7aa0a23edccae8a6141961a822a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002068", "prompt": "Evaluate: 23358 / (-6207 + 3554) * 6269", "solution_steps": ["Add: -6207 + 3554 = -2653", "Divide: 23358 / (-2653) = -23358/2653", "Multiply: (-23358/2653) * 6269 = -146431302/2653"], "final_answer": "-146431302/2653", "answer_type": "rational", "kind": "expression", "math_text": "23358 / (-6207 + 3554) * 6269", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23358, \"b\": -6207, \"c\": 3554, \"d\": 6269}", "seed": "12686210458033585385", "semantic_fingerprint": "sha256:11dead041fe8f13f71d1ddc5d61c8f345d5f2233ecefcd16c6621b1a5b548350", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002069", "prompt": "Find x: -33(x + 32416) + 49739 = 13(x - 7894) + 1456", "solution_steps": ["Expand: -33x - 1069728 + 49739 = 13(x - 7894) + 1456", "Expand: -33x - 1069728 + 49739 = 13x - 102622 + 1456", "Combine constants: -33x - 1019989 = 13x - 102622 + 1456", "Combine constants: -33x - 1019989 = 13x - 101166", "Subtract 13x from both sides: -46x - 1019989 = -101166", "Add 1019989 to both sides: -46x = 918823", "Divide both sides by -46: x = -918823/46"], "final_answer": "-918823/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x + 32416) + 49739 = 13(x - 7894) + 1456", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 32416, \"c\": 49739, \"d\": 13, \"e\": 7894, \"f\": 1456}", "seed": "9739747211350291431", "semantic_fingerprint": "sha256:cfe3a032ab7f8e9a01519bfa951a564ca7c3e9fa4690ee3692624ac0e0ac8eea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002070", "prompt": "Calculate: 5688 + (-67510 + (-95136) / (-94153))", "solution_steps": ["Divide: -95136 / (-94153) = 95136/94153", "Add: -67510 + 95136/94153 = -6356173894/94153", "Add: 5688 + (-6356173894/94153) = -5820631630/94153"], "final_answer": "-5820631630/94153", "answer_type": "rational", "kind": "expression", "math_text": "5688 + (-67510 + (-95136) / (-94153))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5688, \"b\": -67510, \"c\": -95136, \"d\": -94153}", "seed": "6833198683525241739", "semantic_fingerprint": "sha256:05130453e5d82d8201fe5acf0c401c974a7154d014e6a0e180e9a2baee369063", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002071", "prompt": "What is 6572 - 89763 - (-3295 - (-4491))?", "solution_steps": ["Subtract: 6572 - 89763 = -83191", "Subtract: -3295 - (-4491) = 1196", "Subtract: -83191 - 1196 = -84387"], "final_answer": "-84387", "answer_type": "integer", "kind": "expression", "math_text": "6572 - 89763 - (-3295 - (-4491))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6572, \"b\": 89763, \"c\": -3295, \"d\": -4491}", "seed": "5708525941784607615", "semantic_fingerprint": "sha256:7e62c7d9c5c79f76a3ea557879a85cd625ae2074cf4d9e615332e8546059a134", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002072", "prompt": "Calculate: -9328 / (9058 + (-99695)) * (-7338)", "solution_steps": ["Add: 9058 + (-99695) = -90637", "Divide: -9328 / (-90637) = 9328/90637", "Multiply: (9328/90637) * (-7338) = -68448864/90637"], "final_answer": "-68448864/90637", "answer_type": "rational", "kind": "expression", "math_text": "-9328 / (9058 + (-99695)) * (-7338)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9328, \"b\": 9058, \"c\": -99695, \"d\": -7338}", "seed": "15583071090822661702", "semantic_fingerprint": "sha256:968ffcd3de5fbdba0429177cc96f637fd1a971f81bf3515ef30c99fbd0d9fb1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002073", "prompt": "Solve for x: 29x = x - 1008", "solution_steps": ["Subtract x from both sides: 28x = -1008", "Divide both sides by 28: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = x - 1008", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": -1008, \"x\": -36}", "seed": "2969249716662654347", "semantic_fingerprint": "sha256:d6f5faf244be00a6b6dd976cf31b1e739884ee2c711b148f7f9752ab72eb441c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002074", "prompt": "Solve the equation -21(x - 76844) + 2951 = 16(x - 7562) + 9372 for x.", "solution_steps": ["Expand: -21x + 1613724 + 2951 = 16(x - 7562) + 9372", "Expand: -21x + 1613724 + 2951 = 16x - 120992 + 9372", "Combine constants: -21x + 1616675 = 16x - 120992 + 9372", "Combine constants: -21x + 1616675 = 16x - 111620", "Subtract 16x from both sides: -37x + 1616675 = -111620", "Subtract 1616675 from both sides: -37x = -1728295", "Divide both sides by -37: x = 1728295/37"], "final_answer": "1728295/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 76844) + 2951 = 16(x - 7562) + 9372", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 76844, \"c\": 2951, \"d\": 16, \"e\": 7562, \"f\": 9372}", "seed": "14153432101579908901", "semantic_fingerprint": "sha256:01b03ad5d2d7f89b9a082db773c7ab5346c9134b03ddb106a8e510a6b9daf31a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002075", "prompt": "Compute: (70214 - (-2028)) / (-32079)", "solution_steps": ["Subtract: 70214 - (-2028) = 72242", "Divide: 72242 / (-32079) = -72242/32079"], "final_answer": "-72242/32079", "answer_type": "rational", "kind": "expression", "math_text": "(70214 - (-2028)) / (-32079)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70214, \"b\": -2028, \"c\": -32079}", "seed": "17266102839872470880", "semantic_fingerprint": "sha256:ef2db214b455e307b50f37a1da2a36c6ec3396df8eaf8f519bf152f1d341a6b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002076", "prompt": "Compute: 9009 - 5902 + (-8050 / (-1401) - (-1924) - (-3049))", "solution_steps": ["Subtract: 9009 - 5902 = 3107", "Divide: -8050 / (-1401) = 8050/1401", "Subtract: 8050/1401 - (-1924) = 2703574/1401", "Subtract: 2703574/1401 - (-3049) = 6975223/1401", "Add: 3107 + 6975223/1401 = 11328130/1401"], "final_answer": "11328130/1401", "answer_type": "rational", "kind": "expression", "math_text": "9009 - 5902 + (-8050 / (-1401) - (-1924) - (-3049))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (- (/ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9009, \"b\": 5902, \"c\": -8050, \"d\": -1401, \"e\": -1924, \"f\": -3049}", "seed": "7625744126576904365", "semantic_fingerprint": "sha256:b42302ab93706fa9903e50a514de810eafc7675e07ae802fd6d323f83f8c5017", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002077", "prompt": "Solve for x: 29(x + 2913) + 8183 = 32(x + 2911)", "solution_steps": ["Expand: 29x + 84477 + 8183 = 32(x + 2911)", "Expand: 29x + 84477 + 8183 = 32x + 93152", "Combine constants: 29x + 92660 = 32x + 93152", "Subtract 32x from both sides: -3x + 92660 = 93152", "Subtract 92660 from both sides: -3x = 492", "Divide both sides by -3: x = -164"], "final_answer": "-164", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x + 2913) + 8183 = 32(x + 2911)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2913, \"c\": 32, \"d\": 2911, \"f\": 8183, \"x\": -164}", "seed": "5319477625840712484", "semantic_fingerprint": "sha256:863da1cabb6b72ff764164804841988b2592eefeb15df3e1c601035a8fbb3a27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002078", "prompt": "Compute: -2478 * 12020 / 83018 + 6520", "solution_steps": ["Multiply: -2478 * 12020 = -29785560", "Divide: -29785560 / 83018 = -14892780/41509", "Add: -14892780/41509 + 6520 = 255745900/41509"], "final_answer": "255745900/41509", "answer_type": "rational", "kind": "expression", "math_text": "-2478 * 12020 / 83018 + 6520", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2478, \"b\": 12020, \"c\": 83018, \"d\": 6520}", "seed": "15564853428172150263", "semantic_fingerprint": "sha256:9cae38b7330509006db11bfd03804d1d90c20a2dec02c22a8a1647d75a96ccc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002079", "prompt": "Calculate: 3871 + 18428", "solution_steps": ["Add: 3871 + 18428 = 22299"], "final_answer": "22299", "answer_type": "integer", "kind": "expression", "math_text": "3871 + 18428", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3871, \"b\": 18428}", "seed": "9109492724563913051", "semantic_fingerprint": "sha256:55874a4d09338674a2613b48df9c4df22effe845634b38d6d2b43144f2adf84e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002080", "prompt": "Evaluate: 1715 - (5127 + 62063)", "solution_steps": ["Add: 5127 + 62063 = 67190", "Subtract: 1715 - 67190 = -65475"], "final_answer": "-65475", "answer_type": "integer", "kind": "expression", "math_text": "1715 - (5127 + 62063)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1715, \"b\": 5127, \"c\": 62063}", "seed": "7942968892892692113", "semantic_fingerprint": "sha256:3900b81e6a33ec95f3ec1749f165b6efd07e5dce32629906f6fc641cf32a12e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002081", "prompt": "What value of x satisfies x - 6388 = 27(x - 4662)?", "solution_steps": ["Expand: x - 6388 = 27x - 125874", "Subtract 27x from both sides: -26x - 6388 = -125874", "Add 6388 to both sides: -26x = -119486", "Divide both sides by -26: x = 59743/13"], "final_answer": "59743/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6388 = 27(x - 4662)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6388, \"b\": 27, \"c\": 4662}", "seed": "8127871391979665308", "semantic_fingerprint": "sha256:dbd0275e31aa36fa3374aeee0348a28cf5e8dff0bd615b0c94a59711456d5287", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002082", "prompt": "Find x: 36(x + 28657) - 1045 = -29(x - 9475)", "solution_steps": ["Expand: 36x + 1031652 - 1045 = -29(x - 9475)", "Expand: 36x + 1031652 - 1045 = -29x + 274775", "Combine constants: 36x + 1030607 = -29x + 274775", "Add 29x to both sides: 65x + 1030607 = 274775", "Subtract 1030607 from both sides: 65x = -755832", "Divide both sides by 65: x = -755832/65"], "final_answer": "-755832/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 28657) - 1045 = -29(x - 9475)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 28657, \"c\": 1045, \"d\": -29, \"e\": 9475}", "seed": "4573159184253313614", "semantic_fingerprint": "sha256:390b0a90fc78c964cb1e504cb2140ceead3085f23e0cad948ca562594ded23eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002083", "prompt": "Solve for x: 37x + 81634 = x + 2221", "solution_steps": ["Subtract x from both sides: 36x + 81634 = 2221", "Subtract 81634 from both sides: 36x = -79413", "Divide both sides by 36: x = -26471/12"], "final_answer": "-26471/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x + 81634 = x + 2221", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 81634, \"c\": 2221}", "seed": "4246604430548438715", "semantic_fingerprint": "sha256:8a3ce09c33bf69f48f44c33a08b637468ba4d025477580ad8eb2ed7000e71a05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002084", "prompt": "Solve the equation x = -16x + 3026 for x.", "solution_steps": ["Add 16x to both sides: 17x = 3026", "Divide both sides by 17: x = 178"], "final_answer": "178", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -16x + 3026", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16, \"c\": 3026, \"x\": 178}", "seed": "3675799571858156641", "semantic_fingerprint": "sha256:430af9a9f50e5c2cec352b5271fbbe7aca52f35a228ec4d3c52782510ea4fa6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002085", "prompt": "What is 9044 / (-1933 + (3364 + (40868 - (-83546))))?", "solution_steps": ["Subtract: 40868 - (-83546) = 124414", "Add: 3364 + 124414 = 127778", "Add: -1933 + 127778 = 125845", "Divide: 9044 / 125845 = 9044/125845"], "final_answer": "9044/125845", "answer_type": "rational", "kind": "expression", "math_text": "9044 / (-1933 + (3364 + (40868 - (-83546))))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (+ n (- n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9044, \"b\": -1933, \"c\": 3364, \"d\": 40868, \"e\": -83546}", "seed": "1808616727636629107", "semantic_fingerprint": "sha256:33a04ca9b7fcec3baafc14288c03a9a1ee06957564f39f4431afc6eb713b0763", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002086", "prompt": "Find x: x - 5802 = 16x - 1687", "solution_steps": ["Subtract 16x from both sides: -15x - 5802 = -1687", "Add 5802 to both sides: -15x = 4115", "Divide both sides by -15: x = -823/3"], "final_answer": "-823/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5802 = 16x - 1687", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5802, \"b\": 16, \"c\": 1687}", "seed": "5231767687710943390", "semantic_fingerprint": "sha256:888275a2b6a269fb581469fd387a14f3fefd82059447688ae2c2d190c8c1a057", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002087", "prompt": "What is -60038 + 79522 + 9100 * (2481 / (-3577))?", "solution_steps": ["Add: -60038 + 79522 = 19484", "Divide: 2481 / (-3577) = -2481/3577", "Multiply: 9100 * (-2481/3577) = -3225300/511", "Add: 19484 + (-3225300/511) = 6731024/511"], "final_answer": "6731024/511", "answer_type": "rational", "kind": "expression", "math_text": "-60038 + 79522 + 9100 * (2481 / (-3577))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -60038, \"b\": 79522, \"c\": 9100, \"d\": 2481, \"e\": -3577}", "seed": "17704175887723216094", "semantic_fingerprint": "sha256:b16499bc7e7053fc747bb8bb2dd3c1b3a80bb8f7df6f9c6474ae707532703878", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002088", "prompt": "Compute: -65790 - 63586 / (-2246)", "solution_steps": ["Divide: 63586 / (-2246) = -31793/1123", "Subtract: -65790 - (-31793/1123) = -73850377/1123"], "final_answer": "-73850377/1123", "answer_type": "rational", "kind": "expression", "math_text": "-65790 - 63586 / (-2246)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -65790, \"b\": 63586, \"c\": -2246}", "seed": "15984515545248824071", "semantic_fingerprint": "sha256:cb5be547d68445ef9db2fc6cac452055f1eb1dff209794ab4987e873248c268e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002089", "prompt": "What is -63539 - 85006 - (-3304)?", "solution_steps": ["Subtract: -63539 - 85006 = -148545", "Subtract: -148545 - (-3304) = -145241"], "final_answer": "-145241", "answer_type": "integer", "kind": "expression", "math_text": "-63539 - 85006 - (-3304)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -63539, \"b\": 85006, \"c\": -3304}", "seed": "1366911373409215404", "semantic_fingerprint": "sha256:8d87ea6d20f6985c1d69444f62f46ad249018b80cc6da3dea6aaac54876078bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002090", "prompt": "Find x: x - 46027 = -45980", "solution_steps": ["Add 46027 to both sides: x = 47"], "final_answer": "47", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 46027 = -45980", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46027, \"c\": -45980, \"x\": 47}", "seed": "3951143496191921241", "semantic_fingerprint": "sha256:d556ff44f2177b258c91496e1cb916e61a8a350a78caade8b18940651e9bfd27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002091", "prompt": "Compute: -61031 + 39247 * 71048", "solution_steps": ["Multiply: 39247 * 71048 = 2788420856", "Add: -61031 + 2788420856 = 2788359825"], "final_answer": "2788359825", "answer_type": "integer", "kind": "expression", "math_text": "-61031 + 39247 * 71048", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -61031, \"b\": 39247, \"c\": 71048}", "seed": "13385412632758169853", "semantic_fingerprint": "sha256:57475eda8e970cf228f29dd797696856b4421d0e566315a6a1ddb2ec8afcb963", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002092", "prompt": "Calculate: -9387 * 3468 - 9031 * 66764", "solution_steps": ["Multiply: -9387 * 3468 = -32554116", "Multiply: 9031 * 66764 = 602945684", "Subtract: -32554116 - 602945684 = -635499800"], "final_answer": "-635499800", "answer_type": "integer", "kind": "expression", "math_text": "-9387 * 3468 - 9031 * 66764", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9387, \"b\": 3468, \"c\": 9031, \"d\": 66764}", "seed": "7802467706168324799", "semantic_fingerprint": "sha256:f6b347d0af19e6eb63f540df267d7e7c5f86f7cba1b3414acbc9c7a44faa37c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002093", "prompt": "Calculate: 9233 * 8554 + (-55156)", "solution_steps": ["Multiply: 9233 * 8554 = 78979082", "Add: 78979082 + (-55156) = 78923926"], "final_answer": "78923926", "answer_type": "integer", "kind": "expression", "math_text": "9233 * 8554 + (-55156)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9233, \"b\": 8554, \"c\": -55156}", "seed": "5464311590719612434", "semantic_fingerprint": "sha256:11dd6e17ca21d9480c6c6b349c8ab740cf1b45d19186165ccd53a967d92b590e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002094", "prompt": "Evaluate: 2474 * 1903 / 6289", "solution_steps": ["Multiply: 2474 * 1903 = 4708022", "Divide: 4708022 / 6289 = 4708022/6289"], "final_answer": "4708022/6289", "answer_type": "rational", "kind": "expression", "math_text": "2474 * 1903 / 6289", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2474, \"b\": 1903, \"c\": 6289}", "seed": "13804206327891035875", "semantic_fingerprint": "sha256:c5fa946b7e9871e7b99eb0e7dcf2f45f821c138a6d8d73fe6d90f2ed8bf3089d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002095", "prompt": "Solve for x: 18x = -65712", "solution_steps": ["Divide both sides by 18: x = -10952/3"], "final_answer": "-10952/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x = -65712", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": -65712}", "seed": "3849917942109577420", "semantic_fingerprint": "sha256:d9d11cbaa4d9b72af3ad50f36b2163f85c135d48f7fa3c88d98f5c470fc75830", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002096", "prompt": "Solve the equation 38(x + 27953) = 32x for x.", "solution_steps": ["Expand: 38x + 1062214 = 32x", "Subtract 32x from both sides: 6x + 1062214 = 0", "Subtract 1062214 from both sides: 6x = -1062214", "Divide both sides by 6: x = -531107/3"], "final_answer": "-531107/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 27953) = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 27953, \"c\": 32}", "seed": "10844007536799498015", "semantic_fingerprint": "sha256:4ad18353d31473f444bb59d35af16ceaa84e6a44155e937ddb12bb055bcb4e17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002097", "prompt": "Evaluate: 8463 * (95317 / (-1715)) - 69060", "solution_steps": ["Divide: 95317 / (-1715) = -95317/1715", "Multiply: 8463 * (-95317/1715) = -115238253/245", "Subtract: -115238253/245 - 69060 = -132157953/245"], "final_answer": "-132157953/245", "answer_type": "rational", "kind": "expression", "math_text": "8463 * (95317 / (-1715)) - 69060", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8463, \"b\": 95317, \"c\": -1715, \"d\": 69060}", "seed": "7420658005357101266", "semantic_fingerprint": "sha256:42d7cbc88cb015072a355b2ec6bd6f12dffd1a284e8f2218ab553ebe7a971c42", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002098", "prompt": "Calculate: (5851 - 5876 + (8427 - 73361)) * (1100 + 64922)", "solution_steps": ["Subtract: 5851 - 5876 = -25", "Subtract: 8427 - 73361 = -64934", "Add: -25 + (-64934) = -64959", "Add: 1100 + 64922 = 66022", "Multiply: -64959 * 66022 = -4288723098"], "final_answer": "-4288723098", "answer_type": "integer", "kind": "expression", "math_text": "(5851 - 5876 + (8427 - 73361)) * (1100 + 64922)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5851, \"b\": 5876, \"c\": 8427, \"d\": 73361, \"e\": 1100, \"f\": 64922}", "seed": "16014297136836326349", "semantic_fingerprint": "sha256:ddd010922fa411f3d36853c02e79ee27948eccabc9c28ccdd358b6c2fabea3b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002099", "prompt": "Calculate: (-5282 + 3260) * (8058 * 9601) / (-50192)", "solution_steps": ["Add: -5282 + 3260 = -2022", "Multiply: 8058 * 9601 = 77364858", "Multiply: -2022 * 77364858 = -156431742876", "Divide: -156431742876 / (-50192) = 39107935719/12548"], "final_answer": "39107935719/12548", "answer_type": "rational", "kind": "expression", "math_text": "(-5282 + 3260) * (8058 * 9601) / (-50192)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5282, \"b\": 3260, \"c\": 8058, \"d\": 9601, \"e\": -50192}", "seed": "11797611797200246927", "semantic_fingerprint": "sha256:c3c9b8aeed1c965a92f7a216a1229d0ed50e4b9e1ad78620ec775c62d4e471a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002100", "prompt": "Compute: -1245 + (9672 + (-15753))", "solution_steps": ["Add: 9672 + (-15753) = -6081", "Add: -1245 + (-6081) = -7326"], "final_answer": "-7326", "answer_type": "integer", "kind": "expression", "math_text": "-1245 + (9672 + (-15753))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1245, \"b\": 9672, \"c\": -15753}", "seed": "16978026408664835734", "semantic_fingerprint": "sha256:78e6aa71bcb70df3cb77fd026de3d38de0f4200b981b889ef85a728e235a0c09", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002101", "prompt": "Evaluate: (-25433 - (-18196)) / 6792 - 61331", "solution_steps": ["Subtract: -25433 - (-18196) = -7237", "Divide: -7237 / 6792 = -7237/6792", "Subtract: -7237/6792 - 61331 = -416567389/6792"], "final_answer": "-416567389/6792", "answer_type": "rational", "kind": "expression", "math_text": "(-25433 - (-18196)) / 6792 - 61331", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25433, \"b\": -18196, \"c\": 6792, \"d\": 61331}", "seed": "10198731848107746981", "semantic_fingerprint": "sha256:85eb11253b4721d002230db8bca8c9c54379c6354e27fcb9005fd3dd7ba5cf20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002102", "prompt": "Find x: x = 14x - 1220", "solution_steps": ["Subtract 14x from both sides: -13x = -1220", "Divide both sides by -13: x = 1220/13"], "final_answer": "1220/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 14x - 1220", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 1220}", "seed": "16274628605019349145", "semantic_fingerprint": "sha256:c7258d2126905a827aa2a6b360be75c14d03cc1d947b20eca877967fb95522ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002103", "prompt": "What is 1351 * (9035 * (26230 + (-43911)))?", "solution_steps": ["Add: 26230 + (-43911) = -17681", "Multiply: 9035 * (-17681) = -159747835", "Multiply: 1351 * (-159747835) = -215819325085"], "final_answer": "-215819325085", "answer_type": "integer", "kind": "expression", "math_text": "1351 * (9035 * (26230 + (-43911)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1351, \"b\": 9035, \"c\": 26230, \"d\": -43911}", "seed": "16618086183945750096", "semantic_fingerprint": "sha256:f5132e58f969ef112d2d6a885f86e756da004556c8b054175f324838bf5f83a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002104", "prompt": "Compute: -1484 + (97147 / (-4305) + 5532)", "solution_steps": ["Divide: 97147 / (-4305) = -97147/4305", "Add: -97147/4305 + 5532 = 23718113/4305", "Add: -1484 + 23718113/4305 = 17329493/4305"], "final_answer": "17329493/4305", "answer_type": "rational", "kind": "expression", "math_text": "-1484 + (97147 / (-4305) + 5532)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1484, \"b\": 97147, \"c\": -4305, \"d\": 5532}", "seed": "2351569191897464104", "semantic_fingerprint": "sha256:7950147c331df9a8bfa6025944efc75e295ad05373b5bce4f9df2631c7f90b26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002105", "prompt": "Evaluate: -26280 + 2765", "solution_steps": ["Add: -26280 + 2765 = -23515"], "final_answer": "-23515", "answer_type": "integer", "kind": "expression", "math_text": "-26280 + 2765", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -26280, \"b\": 2765}", "seed": "14021455151052547601", "semantic_fingerprint": "sha256:5ebd6eb318e4e4f0426a1e321290cf9a74d7da65eb2c010f543ce5b7e067acbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002106", "prompt": "What is -62622 + (-23450) - (-58565 - (-3225) + 3328)?", "solution_steps": ["Add: -62622 + (-23450) = -86072", "Subtract: -58565 - (-3225) = -55340", "Add: -55340 + 3328 = -52012", "Subtract: -86072 - (-52012) = -34060"], "final_answer": "-34060", "answer_type": "integer", "kind": "expression", "math_text": "-62622 + (-23450) - (-58565 - (-3225) + 3328)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -62622, \"b\": -23450, \"c\": -58565, \"d\": -3225, \"e\": 3328}", "seed": "4330049555071626697", "semantic_fingerprint": "sha256:5c6808d24f80ae10464c1709f72ddeb56fba33c0ce8632f21f8a2ceb6077f1a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002107", "prompt": "What is 1290 * (-50988) / 80976?", "solution_steps": ["Multiply: 1290 * (-50988) = -65774520", "Divide: -65774520 / 80976 = -391515/482"], "final_answer": "-391515/482", "answer_type": "rational", "kind": "expression", "math_text": "1290 * (-50988) / 80976", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1290, \"b\": -50988, \"c\": 80976}", "seed": "13485777702977972371", "semantic_fingerprint": "sha256:242528fb1da9da1744ebdb99596f964b9bbf863c29f8718923c857ab342f716f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002108", "prompt": "Compute: (85398 + (-60836)) * (6209 / (-12665)) - 1607 + 2192", "solution_steps": ["Add: 85398 + (-60836) = 24562", "Divide: 6209 / (-12665) = -6209/12665", "Multiply: 24562 * (-6209/12665) = -152505458/12665", "Subtract: -152505458/12665 - 1607 = -172858113/12665", "Add: -172858113/12665 + 2192 = -145096433/12665"], "final_answer": "-145096433/12665", "answer_type": "rational", "kind": "expression", "math_text": "(85398 + (-60836)) * (6209 / (-12665)) - 1607 + 2192", "variable": null, "family": "expression_5op", "shape": "(+ (- (* (+ n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 85398, \"b\": -60836, \"c\": 6209, \"d\": -12665, \"e\": 1607, \"f\": 2192}", "seed": "5852009158250511325", "semantic_fingerprint": "sha256:7608230b239daeae37954f86de882f80466a761da266352ca138492553a9f90a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002109", "prompt": "Calculate: (8952 + (-2771)) * (-6070 / (-7084) / (-8249 / (-9636)))", "solution_steps": ["Add: 8952 + (-2771) = 6181", "Divide: -6070 / (-7084) = 3035/3542", "Divide: -8249 / (-9636) = 113/132", "Divide: (3035/3542) / (113/132) = 18210/18193", "Multiply: 6181 * (18210/18193) = 16079430/2599"], "final_answer": "16079430/2599", "answer_type": "rational", "kind": "expression", "math_text": "(8952 + (-2771)) * (-6070 / (-7084) / (-8249 / (-9636)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (/ n n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8952, \"b\": -2771, \"c\": -6070, \"d\": -7084, \"e\": -8249, \"f\": -9636}", "seed": "6501885771980626924", "semantic_fingerprint": "sha256:af0c0b7a7181a179ed204c2b819f3e2bc3b656ff52197874b3a515527c587ed4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002110", "prompt": "Calculate: -3539 - 1164", "solution_steps": ["Subtract: -3539 - 1164 = -4703"], "final_answer": "-4703", "answer_type": "integer", "kind": "expression", "math_text": "-3539 - 1164", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3539, \"b\": 1164}", "seed": "15772997355030656292", "semantic_fingerprint": "sha256:2f838d556f0ee9698279a38896d3a5dc9ba775620d207d9e90a356b62ac9dd84", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002111", "prompt": "Compute: -48261 - 1063", "solution_steps": ["Subtract: -48261 - 1063 = -49324"], "final_answer": "-49324", "answer_type": "integer", "kind": "expression", "math_text": "-48261 - 1063", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -48261, \"b\": 1063}", "seed": "15260264209300705502", "semantic_fingerprint": "sha256:6cfa9d94372267953537b97746cba48181728b8eb29da307d03a4610df2dcc3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002112", "prompt": "What value of x satisfies 31(x - 69417) = 23(x + 4093)?", "solution_steps": ["Expand: 31x - 2151927 = 23(x + 4093)", "Expand: 31x - 2151927 = 23x + 94139", "Subtract 23x from both sides: 8x - 2151927 = 94139", "Add 2151927 to both sides: 8x = 2246066", "Divide both sides by 8: x = 1123033/4"], "final_answer": "1123033/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 69417) = 23(x + 4093)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 69417, \"c\": 23, \"d\": 4093}", "seed": "4505541188826106540", "semantic_fingerprint": "sha256:2325f7bd091b056ce9f6e6793c24e7f3ee4245273da695407feadac70fe592a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002113", "prompt": "What is (-20299 - (-7575)) * (-8088)?", "solution_steps": ["Subtract: -20299 - (-7575) = -12724", "Multiply: -12724 * (-8088) = 102911712"], "final_answer": "102911712", "answer_type": "integer", "kind": "expression", "math_text": "(-20299 - (-7575)) * (-8088)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20299, \"b\": -7575, \"c\": -8088}", "seed": "8598490718645616093", "semantic_fingerprint": "sha256:f1e2cfdc167480e82a5ca2a6245d7b968be4b6276640c574bbd1cf428b880f75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002114", "prompt": "What value of x satisfies 29x = x - 1848?", "solution_steps": ["Subtract x from both sides: 28x = -1848", "Divide both sides by 28: x = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = x - 1848", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": -1848, \"x\": -66}", "seed": "3881919126063725586", "semantic_fingerprint": "sha256:a237642c03e3644540a71271e02afad15f81af7e804c3e36d1de5b304a42e7b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002115", "prompt": "What value of x satisfies 28(x + 4313) = x?", "solution_steps": ["Expand: 28x + 120764 = x", "Subtract x from both sides: 27x + 120764 = 0", "Subtract 120764 from both sides: 27x = -120764", "Divide both sides by 27: x = -120764/27"], "final_answer": "-120764/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 4313) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 4313}", "seed": "15762451535869221848", "semantic_fingerprint": "sha256:0749a6a9728678f39f937b2a1bda61220c5f22c84bbd92acf71ab224db7d585b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002116", "prompt": "Compute: (-3889 - (-9779)) * (3466 + 4596)", "solution_steps": ["Subtract: -3889 - (-9779) = 5890", "Add: 3466 + 4596 = 8062", "Multiply: 5890 * 8062 = 47485180"], "final_answer": "47485180", "answer_type": "integer", "kind": "expression", "math_text": "(-3889 - (-9779)) * (3466 + 4596)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3889, \"b\": -9779, \"c\": 3466, \"d\": 4596}", "seed": "6455647284521082730", "semantic_fingerprint": "sha256:356e2602d0add391fa30783341e62c16f2184fb10e8310df48812055f00becbc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002117", "prompt": "Solve the equation -33x + 3437 = 1153 for x.", "solution_steps": ["Subtract 3437 from both sides: -33x = -2284", "Divide both sides by -33: x = 2284/33"], "final_answer": "2284/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33x + 3437 = 1153", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 3437, \"c\": 1153}", "seed": "98501235880095206", "semantic_fingerprint": "sha256:6e6f674c56c6637d6314ceb56bd5c764b01b970c953345d10d5eed295e204afc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002118", "prompt": "What is -4776 - 5495 * (-76835)?", "solution_steps": ["Multiply: 5495 * (-76835) = -422208325", "Subtract: -4776 - (-422208325) = 422203549"], "final_answer": "422203549", "answer_type": "integer", "kind": "expression", "math_text": "-4776 - 5495 * (-76835)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4776, \"b\": 5495, \"c\": -76835}", "seed": "6714905725303497341", "semantic_fingerprint": "sha256:1039a91eb89f28a9ff94c10d9011fa99a5bcffa07e61eaa6efd31a163f98ba85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002119", "prompt": "Evaluate: 9387 / (18271 / (-19802))", "solution_steps": ["Divide: 18271 / (-19802) = -18271/19802", "Divide: 9387 / (-18271/19802) = -185881374/18271"], "final_answer": "-185881374/18271", "answer_type": "rational", "kind": "expression", "math_text": "9387 / (18271 / (-19802))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9387, \"b\": 18271, \"c\": -19802}", "seed": "10411452345254122821", "semantic_fingerprint": "sha256:62f3e177538cf13183f1d14f75b6d413e91b3771ce4b21549290804f254b0d47", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002120", "prompt": "Evaluate: 94171 / 6879", "solution_steps": ["Divide: 94171 / 6879 = 94171/6879"], "final_answer": "94171/6879", "answer_type": "rational", "kind": "expression", "math_text": "94171 / 6879", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 94171, \"b\": 6879}", "seed": "12427637692908530878", "semantic_fingerprint": "sha256:73b06a50c4d9951646529b2a30df33ef65309db87e3c29537b5b14cb5555b040", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002121", "prompt": "Evaluate: (-95017 - (-30412) * 4208) / (7699 + 1913)", "solution_steps": ["Multiply: -30412 * 4208 = -127973696", "Subtract: -95017 - (-127973696) = 127878679", "Add: 7699 + 1913 = 9612", "Divide: 127878679 / 9612 = 127878679/9612"], "final_answer": "127878679/9612", "answer_type": "rational", "kind": "expression", "math_text": "(-95017 - (-30412) * 4208) / (7699 + 1913)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -95017, \"b\": -30412, \"c\": 4208, \"d\": 7699, \"e\": 1913}", "seed": "14494008443105047224", "semantic_fingerprint": "sha256:fdc85f7a599ab852ccdb43c966a4e7df0ba19a6b8da4f7eb1190181979188a2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002122", "prompt": "Compute: -32752 / (7521 / (78451 + 9616))", "solution_steps": ["Add: 78451 + 9616 = 88067", "Divide: 7521 / 88067 = 327/3829", "Divide: -32752 / (327/3829) = -125407408/327"], "final_answer": "-125407408/327", "answer_type": "rational", "kind": "expression", "math_text": "-32752 / (7521 / (78451 + 9616))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32752, \"b\": 7521, \"c\": 78451, \"d\": 9616}", "seed": "8774777630650371182", "semantic_fingerprint": "sha256:2bf39d672121484bf98a3fd909c36a6638e2205eb5e5af81f80d0552b193453a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002123", "prompt": "Find x: 40(x - 9550) = 36(x - 9719) - 31592", "solution_steps": ["Expand: 40x - 382000 = 36(x - 9719) - 31592", "Expand: 40x - 382000 = 36x - 349884 - 31592", "Combine constants: 40x - 382000 = 36x - 381476", "Subtract 36x from both sides: 4x - 382000 = -381476", "Add 382000 to both sides: 4x = 524", "Divide both sides by 4: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 9550) = 36(x - 9719) - 31592", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 9550, \"c\": 36, \"d\": 9719, \"f\": -31592, \"x\": 131}", "seed": "9784540964231017339", "semantic_fingerprint": "sha256:aff1d1a9b48554fd02cf396148d4aac66ec0db160315ea9e180865b3869a4964", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002124", "prompt": "Calculate: 4204 + (-7989) / (6190 / (75789 + (-5631) + 6039))", "solution_steps": ["Add: 75789 + (-5631) = 70158", "Add: 70158 + 6039 = 76197", "Divide: 6190 / 76197 = 6190/76197", "Divide: -7989 / (6190/76197) = -608737833/6190", "Add: 4204 + (-608737833/6190) = -582715073/6190"], "final_answer": "-582715073/6190", "answer_type": "rational", "kind": "expression", "math_text": "4204 + (-7989) / (6190 / (75789 + (-5631) + 6039))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (/ n (+ (+ n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4204, \"b\": -7989, \"c\": 6190, \"d\": 75789, \"e\": -5631, \"f\": 6039}", "seed": "16834024154126734074", "semantic_fingerprint": "sha256:2a315bcc10bddce6dd17e2e03f60b1665e48f95326ad79830f4a6b41cbf7b5c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002125", "prompt": "Calculate: 37096 + (56222 - (-6258) / 22741)", "solution_steps": ["Divide: -6258 / 22741 = -6258/22741", "Subtract: 56222 - (-6258/22741) = 1278550760/22741", "Add: 37096 + 1278550760/22741 = 2122150896/22741"], "final_answer": "2122150896/22741", "answer_type": "rational", "kind": "expression", "math_text": "37096 + (56222 - (-6258) / 22741)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37096, \"b\": 56222, \"c\": -6258, \"d\": 22741}", "seed": "15409258344893508826", "semantic_fingerprint": "sha256:020dc967353a6b56b612f25709ca70a8d48790574b342e062212aa088cd207a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002126", "prompt": "Calculate: 70413 * (-76589) / 30156", "solution_steps": ["Multiply: 70413 * (-76589) = -5392861257", "Divide: -5392861257 / 30156 = -256802917/1436"], "final_answer": "-256802917/1436", "answer_type": "rational", "kind": "expression", "math_text": "70413 * (-76589) / 30156", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70413, \"b\": -76589, \"c\": 30156}", "seed": "16243909221565805319", "semantic_fingerprint": "sha256:c85459fc2b31512fd96cc379dbef4537283ba6231e97c38008227cdd36b948d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002127", "prompt": "Find x: x + 8252 = 8079", "solution_steps": ["Subtract 8252 from both sides: x = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8252 = 8079", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8252, \"c\": 8079, \"x\": -173}", "seed": "12606095434004868915", "semantic_fingerprint": "sha256:4345bee939142b8a5308b2676627a22dd421e4bfe1520f177e9782ef4ab0da3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002128", "prompt": "Evaluate: -4673 - 33117 - 2259 - 4850", "solution_steps": ["Subtract: -4673 - 33117 = -37790", "Subtract: -37790 - 2259 = -40049", "Subtract: -40049 - 4850 = -44899"], "final_answer": "-44899", "answer_type": "integer", "kind": "expression", "math_text": "-4673 - 33117 - 2259 - 4850", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4673, \"b\": 33117, \"c\": 2259, \"d\": 4850}", "seed": "3737740027962648687", "semantic_fingerprint": "sha256:c8c1762282c841eb0be4c1aa2f3e53eef78a3c9c2d939f8a045b29d5e80134bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002129", "prompt": "Calculate: (-3773 + (-70023)) * (-97219 / (-44898))", "solution_steps": ["Add: -3773 + (-70023) = -73796", "Divide: -97219 / (-44898) = 97219/44898", "Multiply: -73796 * (97219/44898) = -3587186662/22449"], "final_answer": "-3587186662/22449", "answer_type": "rational", "kind": "expression", "math_text": "(-3773 + (-70023)) * (-97219 / (-44898))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3773, \"b\": -70023, \"c\": -97219, \"d\": -44898}", "seed": "15241483483901837086", "semantic_fingerprint": "sha256:38c3f69d04ca017a17e1d96efc92bcbf282b7b711010cb998e16eb8dceed2f9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002130", "prompt": "Solve the equation 13x + 1677 = 20x + 5846 for x.", "solution_steps": ["Subtract 20x from both sides: -7x + 1677 = 5846", "Subtract 1677 from both sides: -7x = 4169", "Divide both sides by -7: x = -4169/7"], "final_answer": "-4169/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x + 1677 = 20x + 5846", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 1677, \"c\": 20, \"d\": 5846}", "seed": "964933228944305564", "semantic_fingerprint": "sha256:6e0728fa31327bde4cb459c8babda526637b5dd130760d55a771b23055690bea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002131", "prompt": "Solve for x: x + 79822 = 34(x - 61164) - 9921", "solution_steps": ["Expand: x + 79822 = 34x - 2079576 - 9921", "Combine constants: x + 79822 = 34x - 2089497", "Subtract 34x from both sides: -33x + 79822 = -2089497", "Subtract 79822 from both sides: -33x = -2169319", "Divide both sides by -33: x = 2169319/33"], "final_answer": "2169319/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 79822 = 34(x - 61164) - 9921", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 79822, \"b\": 34, \"c\": 61164, \"d\": 9921}", "seed": "739825138067066797", "semantic_fingerprint": "sha256:375572ef7479f7dc041a9bf11664d4fc29079b01832300f214ea507ac96144c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002132", "prompt": "Evaluate: 5050 * (49490 / 96804 * 6660) + (-24413 - (-26064))", "solution_steps": ["Divide: 49490 / 96804 = 24745/48402", "Multiply: (24745/48402) * 6660 = 9155650/2689", "Multiply: 5050 * (9155650/2689) = 46236032500/2689", "Subtract: -24413 - (-26064) = 1651", "Add: 46236032500/2689 + 1651 = 46240472039/2689"], "final_answer": "46240472039/2689", "answer_type": "rational", "kind": "expression", "math_text": "5050 * (49490 / 96804 * 6660) + (-24413 - (-26064))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* (/ n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5050, \"b\": 49490, \"c\": 96804, \"d\": 6660, \"e\": -24413, \"f\": -26064}", "seed": "12238588506545289990", "semantic_fingerprint": "sha256:2cb8b8966074893ce6a6e21800a90ee079fdec15bbd0481471e4dbe98a073cd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002133", "prompt": "What is -84860 - (-91655)?", "solution_steps": ["Subtract: -84860 - (-91655) = 6795"], "final_answer": "6795", "answer_type": "integer", "kind": "expression", "math_text": "-84860 - (-91655)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -84860, \"b\": -91655}", "seed": "4975636792640630871", "semantic_fingerprint": "sha256:4bd71db8ff73de29bcc8300b79237dc8a6da1df2b9e42730f02d0a1c1ce32e20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002134", "prompt": "What value of x satisfies -30x - 51326 = 22(x - 32085) + 46606?", "solution_steps": ["Expand: -30x - 51326 = 22x - 705870 + 46606", "Combine constants: -30x - 51326 = 22x - 659264", "Subtract 22x from both sides: -52x - 51326 = -659264", "Add 51326 to both sides: -52x = -607938", "Divide both sides by -52: x = 303969/26"], "final_answer": "303969/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30x - 51326 = 22(x - 32085) + 46606", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 51326, \"c\": 22, \"d\": 32085, \"e\": 46606}", "seed": "4928642598352059394", "semantic_fingerprint": "sha256:4655a14ab1ad23343861cf22f9f7bc79ba62a126f6e755acfcbd350bfadbb0d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002135", "prompt": "What is -6054 - (88335 - (-7177))?", "solution_steps": ["Subtract: 88335 - (-7177) = 95512", "Subtract: -6054 - 95512 = -101566"], "final_answer": "-101566", "answer_type": "integer", "kind": "expression", "math_text": "-6054 - (88335 - (-7177))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6054, \"b\": 88335, \"c\": -7177}", "seed": "1522094003642989768", "semantic_fingerprint": "sha256:08b15e0bbf838f04164a4d6b571b9fa59f5936f8f9cac2c39eaa508f2542056b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002136", "prompt": "Compute: -7469 / 82594 + (-9694) - (-6227 - (-68162))", "solution_steps": ["Divide: -7469 / 82594 = -7469/82594", "Add: -7469/82594 + (-9694) = -800673705/82594", "Subtract: -6227 - (-68162) = 61935", "Subtract: -800673705/82594 - 61935 = -5916133095/82594"], "final_answer": "-5916133095/82594", "answer_type": "rational", "kind": "expression", "math_text": "-7469 / 82594 + (-9694) - (-6227 - (-68162))", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7469, \"b\": 82594, \"c\": -9694, \"d\": -6227, \"e\": -68162}", "seed": "3567361864309183995", "semantic_fingerprint": "sha256:2da30a5ca878e69c8eaf3617ee58a076ce3e06ff6f9980aa13026cdeef5d9d19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002137", "prompt": "What is -8777 * (35607 - 24959)?", "solution_steps": ["Subtract: 35607 - 24959 = 10648", "Multiply: -8777 * 10648 = -93457496"], "final_answer": "-93457496", "answer_type": "integer", "kind": "expression", "math_text": "-8777 * (35607 - 24959)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8777, \"b\": 35607, \"c\": 24959}", "seed": "16645395314081823143", "semantic_fingerprint": "sha256:6ee2fcead29818cd9ade92204f02b9267b0196882c7122020b8221da94f7fa30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002138", "prompt": "Solve for x: -17(x + 4755) = x - 80151", "solution_steps": ["Expand: -17x - 80835 = x - 80151", "Subtract x from both sides: -18x - 80835 = -80151", "Add 80835 to both sides: -18x = 684", "Divide both sides by -18: x = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17(x + 4755) = x - 80151", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 4755, \"d\": -80151, \"x\": -38}", "seed": "7700404010886434131", "semantic_fingerprint": "sha256:995340a64e688d796fd1ada0e0a5a8d31cef056c9f110c995be83edad0664523", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002139", "prompt": "Calculate: -22694 - (-80252)", "solution_steps": ["Subtract: -22694 - (-80252) = 57558"], "final_answer": "57558", "answer_type": "integer", "kind": "expression", "math_text": "-22694 - (-80252)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -22694, \"b\": -80252}", "seed": "11849561967738595005", "semantic_fingerprint": "sha256:7759fe5ca1ad2e258afa95fea5e29affd8b51ebef41f8f94679c283fe5742726", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002140", "prompt": "Evaluate: -7432 - 88486", "solution_steps": ["Subtract: -7432 - 88486 = -95918"], "final_answer": "-95918", "answer_type": "integer", "kind": "expression", "math_text": "-7432 - 88486", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7432, \"b\": 88486}", "seed": "2158896679908321950", "semantic_fingerprint": "sha256:7b0704104e8103bf2ed04e6ac180c669c15f5b3e16f30556ec3a7bdb2b1e23d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002141", "prompt": "What is 29264 * (-96143 + (-8955))?", "solution_steps": ["Add: -96143 + (-8955) = -105098", "Multiply: 29264 * (-105098) = -3075587872"], "final_answer": "-3075587872", "answer_type": "integer", "kind": "expression", "math_text": "29264 * (-96143 + (-8955))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29264, \"b\": -96143, \"c\": -8955}", "seed": "2426221970006515372", "semantic_fingerprint": "sha256:db3623b4f3da65e85e5614c5b0fa2f8fdde117df6a876305eaf545832ba437fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002142", "prompt": "What is 48333 / (-39397) + 6045?", "solution_steps": ["Divide: 48333 / (-39397) = -48333/39397", "Add: -48333/39397 + 6045 = 238106532/39397"], "final_answer": "238106532/39397", "answer_type": "rational", "kind": "expression", "math_text": "48333 / (-39397) + 6045", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 48333, \"b\": -39397, \"c\": 6045}", "seed": "5087590249736719950", "semantic_fingerprint": "sha256:35364bc6600e7e62f9d7b3b3b4dffe926f87b63b3698ed0c20c9b10f19e4868e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002143", "prompt": "Compute: -4939 * 2635 - (-7432 + 2591)", "solution_steps": ["Multiply: -4939 * 2635 = -13014265", "Add: -7432 + 2591 = -4841", "Subtract: -13014265 - (-4841) = -13009424"], "final_answer": "-13009424", "answer_type": "integer", "kind": "expression", "math_text": "-4939 * 2635 - (-7432 + 2591)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4939, \"b\": 2635, \"c\": -7432, \"d\": 2591}", "seed": "11911480149306355960", "semantic_fingerprint": "sha256:96021c809edcb7750b32d16509682130b1fff31b77f65cb49c725d7353af83f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002144", "prompt": "Solve for x: 17(x - 3357) + 1656 = -16(x + 69239) + 76729", "solution_steps": ["Expand: 17x - 57069 + 1656 = -16(x + 69239) + 76729", "Expand: 17x - 57069 + 1656 = -16x - 1107824 + 76729", "Combine constants: 17x - 55413 = -16x - 1107824 + 76729", "Combine constants: 17x - 55413 = -16x - 1031095", "Add 16x to both sides: 33x - 55413 = -1031095", "Add 55413 to both sides: 33x = -975682", "Divide both sides by 33: x = -975682/33"], "final_answer": "-975682/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 3357) + 1656 = -16(x + 69239) + 76729", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 3357, \"c\": 1656, \"d\": -16, \"e\": 69239, \"f\": 76729}", "seed": "7316600696261432177", "semantic_fingerprint": "sha256:014d23f92c10af69abccf8217fc3896b97174bdd7e75c324b00a65a5ac2c64de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002145", "prompt": "Find x: x + 2505 = 22x + 5424", "solution_steps": ["Subtract 22x from both sides: -21x + 2505 = 5424", "Subtract 2505 from both sides: -21x = 2919", "Divide both sides by -21: x = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2505 = 22x + 5424", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2505, \"b\": 22, \"d\": 5424, \"x\": -139}", "seed": "12153037772894525032", "semantic_fingerprint": "sha256:e9f8a015e057f24d12faa6f6a538f3a51f99af020f9b1de66b339534ed9d5c81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002146", "prompt": "Evaluate: 8228 * (-4327) + 6521 - 4390", "solution_steps": ["Multiply: 8228 * (-4327) = -35602556", "Add: -35602556 + 6521 = -35596035", "Subtract: -35596035 - 4390 = -35600425"], "final_answer": "-35600425", "answer_type": "integer", "kind": "expression", "math_text": "8228 * (-4327) + 6521 - 4390", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8228, \"b\": -4327, \"c\": 6521, \"d\": 4390}", "seed": "16347475714886814514", "semantic_fingerprint": "sha256:05aa10b31c5e0efb5c3f4a3057235c7d96df9cb8486540d39c509315a92187af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002147", "prompt": "What is -38103 + 1592 + 2560?", "solution_steps": ["Add: -38103 + 1592 = -36511", "Add: -36511 + 2560 = -33951"], "final_answer": "-33951", "answer_type": "integer", "kind": "expression", "math_text": "-38103 + 1592 + 2560", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38103, \"b\": 1592, \"c\": 2560}", "seed": "6165454815070782745", "semantic_fingerprint": "sha256:10dcf04b9c0dce7d106fc08889bd79905fe2aee0ece45cd2f41c9b1d8571c686", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002148", "prompt": "Evaluate: -3451 * (7662 * (-1868 / (-49279)))", "solution_steps": ["Divide: -1868 / (-49279) = 1868/49279", "Multiply: 7662 * (1868/49279) = 14312616/49279", "Multiply: -3451 * (14312616/49279) = -49392837816/49279"], "final_answer": "-49392837816/49279", "answer_type": "rational", "kind": "expression", "math_text": "-3451 * (7662 * (-1868 / (-49279)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3451, \"b\": 7662, \"c\": -1868, \"d\": -49279}", "seed": "5478374533695843252", "semantic_fingerprint": "sha256:1c13ec93bc15a175b2f31a00a96738368817aa39c8dffa2b07c25b776fee4d08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002149", "prompt": "What is (4951 - (-90583) - 2038) * (2200 - (-4262))?", "solution_steps": ["Subtract: 4951 - (-90583) = 95534", "Subtract: 95534 - 2038 = 93496", "Subtract: 2200 - (-4262) = 6462", "Multiply: 93496 * 6462 = 604171152"], "final_answer": "604171152", "answer_type": "integer", "kind": "expression", "math_text": "(4951 - (-90583) - 2038) * (2200 - (-4262))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4951, \"b\": -90583, \"c\": 2038, \"d\": 2200, \"e\": -4262}", "seed": "15976007588625110416", "semantic_fingerprint": "sha256:1834e036b618135a4b0bb90b6d35dbd83dd9f76f9a31ad3a7e93455af63c2c2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002150", "prompt": "Solve for x: 23(x + 5914) = 37(x + 14680)", "solution_steps": ["Expand: 23x + 136022 = 37(x + 14680)", "Expand: 23x + 136022 = 37x + 543160", "Subtract 37x from both sides: -14x + 136022 = 543160", "Subtract 136022 from both sides: -14x = 407138", "Divide both sides by -14: x = -203569/7"], "final_answer": "-203569/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 5914) = 37(x + 14680)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5914, \"c\": 37, \"d\": 14680}", "seed": "15802606092947439793", "semantic_fingerprint": "sha256:836aff6462616969fdab305b9536afa7acb14622c3797d2f43a8a8abb50c6cd6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002151", "prompt": "Calculate: 1163 - (-61118 - 9000) + (-64683)", "solution_steps": ["Subtract: -61118 - 9000 = -70118", "Subtract: 1163 - (-70118) = 71281", "Add: 71281 + (-64683) = 6598"], "final_answer": "6598", "answer_type": "integer", "kind": "expression", "math_text": "1163 - (-61118 - 9000) + (-64683)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1163, \"b\": -61118, \"c\": 9000, \"d\": -64683}", "seed": "5284784066388204895", "semantic_fingerprint": "sha256:f2fb7276871140cc7bc0fc15d7ae09244db85c6aca0cc5d571571edb4e056d15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002152", "prompt": "Compute: (8902 - (-61396)) / (-4887) - 4931", "solution_steps": ["Subtract: 8902 - (-61396) = 70298", "Divide: 70298 / (-4887) = -70298/4887", "Subtract: -70298/4887 - 4931 = -24168095/4887"], "final_answer": "-24168095/4887", "answer_type": "rational", "kind": "expression", "math_text": "(8902 - (-61396)) / (-4887) - 4931", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8902, \"b\": -61396, \"c\": -4887, \"d\": 4931}", "seed": "9524383602643347812", "semantic_fingerprint": "sha256:40d757ec6b8944efa89599c8d3cf872db61fdde2855b84e6150b01e011b19a07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002153", "prompt": "What is 47772 + (-4890)?", "solution_steps": ["Add: 47772 + (-4890) = 42882"], "final_answer": "42882", "answer_type": "integer", "kind": "expression", "math_text": "47772 + (-4890)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 47772, \"b\": -4890}", "seed": "12010435007384217139", "semantic_fingerprint": "sha256:06f78e9b5579a36ccefd0f3d73390934919db68ab7f8ede9028ec1a7541c22eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002154", "prompt": "Compute: -8313 * 8714", "solution_steps": ["Multiply: -8313 * 8714 = -72439482"], "final_answer": "-72439482", "answer_type": "integer", "kind": "expression", "math_text": "-8313 * 8714", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8313, \"b\": 8714}", "seed": "15423625361691709632", "semantic_fingerprint": "sha256:65d2c5e964c070025983ece029ba67043f24600599f44727d838f0bde359e077", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002155", "prompt": "Calculate: 79470 - (-69360)", "solution_steps": ["Subtract: 79470 - (-69360) = 148830"], "final_answer": "148830", "answer_type": "integer", "kind": "expression", "math_text": "79470 - (-69360)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 79470, \"b\": -69360}", "seed": "8818165012579407251", "semantic_fingerprint": "sha256:b60d408336ba8ae3dded86351624682040fb6531ece8ef0b1eaefb75d5b89210", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002156", "prompt": "Find x: 16x - 48884 = x - 48344", "solution_steps": ["Subtract x from both sides: 15x - 48884 = -48344", "Add 48884 to both sides: 15x = 540", "Divide both sides by 15: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x - 48884 = x - 48344", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 48884, \"d\": -48344, \"x\": 36}", "seed": "17712658639752768872", "semantic_fingerprint": "sha256:dcd21cf12f3de13c05e7fbd9b0d1677c2016529976dffc9491cfd39801b6858b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002157", "prompt": "Solve the equation x - 55534 = -55489 for x.", "solution_steps": ["Add 55534 to both sides: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 55534 = -55489", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 55534, \"c\": -55489, \"x\": 45}", "seed": "8749315279016828993", "semantic_fingerprint": "sha256:0dcaf36091601640fcecdbaf533623f1b1377b61d31138935ed24dbc9c2e4cc0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002158", "prompt": "Evaluate: (4124 - (-56368)) * (-25013)", "solution_steps": ["Subtract: 4124 - (-56368) = 60492", "Multiply: 60492 * (-25013) = -1513086396"], "final_answer": "-1513086396", "answer_type": "integer", "kind": "expression", "math_text": "(4124 - (-56368)) * (-25013)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4124, \"b\": -56368, \"c\": -25013}", "seed": "4771836372362055465", "semantic_fingerprint": "sha256:21702fddd3c59fbf8c7665367e8d50558b8cb97b12f440d0e5d3703ca590e71e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002159", "prompt": "What value of x satisfies 13x = -2327?", "solution_steps": ["Divide both sides by 13: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x = -2327", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"c\": -2327, \"x\": -179}", "seed": "16272293463732680549", "semantic_fingerprint": "sha256:f7e2257a93bd25b2a020a333768bc32fdfc331f47fdae8c3fbd84b760deed42f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002160", "prompt": "Compute: 61770 * 77795 - (-2180)", "solution_steps": ["Multiply: 61770 * 77795 = 4805397150", "Subtract: 4805397150 - (-2180) = 4805399330"], "final_answer": "4805399330", "answer_type": "integer", "kind": "expression", "math_text": "61770 * 77795 - (-2180)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61770, \"b\": 77795, \"c\": -2180}", "seed": "7868266013663752124", "semantic_fingerprint": "sha256:3e1f8bf3d7ee1845c3e4cf34e8ad4889c1e3ec9de0370290f2e4d7e39906b7c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002161", "prompt": "Solve the equation -33(x + 1619) = -40(x - 7006) for x.", "solution_steps": ["Expand: -33x - 53427 = -40(x - 7006)", "Expand: -33x - 53427 = -40x + 280240", "Add 40x to both sides: 7x - 53427 = 280240", "Add 53427 to both sides: 7x = 333667", "Divide both sides by 7: x = 333667/7"], "final_answer": "333667/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x + 1619) = -40(x - 7006)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 1619, \"c\": -40, \"d\": 7006}", "seed": "10191776197833044346", "semantic_fingerprint": "sha256:a1ce7cad3177c0a80581be938dd380de5cc3dc764562539bd8f46daf32f80d3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002162", "prompt": "What is (65236 - 5271) / (3510 - (-6711 - (-6431)))?", "solution_steps": ["Subtract: 65236 - 5271 = 59965", "Subtract: -6711 - (-6431) = -280", "Subtract: 3510 - (-280) = 3790", "Divide: 59965 / 3790 = 11993/758"], "final_answer": "11993/758", "answer_type": "rational", "kind": "expression", "math_text": "(65236 - 5271) / (3510 - (-6711 - (-6431)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 65236, \"b\": 5271, \"c\": 3510, \"d\": -6711, \"e\": -6431}", "seed": "1137105493112640496", "semantic_fingerprint": "sha256:63ac0769605da275f7c4aca4417782cd872728350d08611b239ac4fda901f85e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002163", "prompt": "Calculate: -94606 - 3629 * 9024 + (-93704)", "solution_steps": ["Multiply: 3629 * 9024 = 32748096", "Subtract: -94606 - 32748096 = -32842702", "Add: -32842702 + (-93704) = -32936406"], "final_answer": "-32936406", "answer_type": "integer", "kind": "expression", "math_text": "-94606 - 3629 * 9024 + (-93704)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -94606, \"b\": 3629, \"c\": 9024, \"d\": -93704}", "seed": "2392668024583365256", "semantic_fingerprint": "sha256:1d55407b4b9cd60b5c319bf1321e998b8ad53563778d8d8f3db9cc25f8094fdb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002164", "prompt": "Evaluate: -5266 - (-12773)", "solution_steps": ["Subtract: -5266 - (-12773) = 7507"], "final_answer": "7507", "answer_type": "integer", "kind": "expression", "math_text": "-5266 - (-12773)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5266, \"b\": -12773}", "seed": "15375479659666421438", "semantic_fingerprint": "sha256:e1f78152aa59e887362cd06d217ca8c87cfe257080bdecfde11531be27386cdd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002165", "prompt": "Compute: (-9386 - (-1695)) / (-50603 - 35818)", "solution_steps": ["Subtract: -9386 - (-1695) = -7691", "Subtract: -50603 - 35818 = -86421", "Divide: -7691 / (-86421) = 7691/86421"], "final_answer": "7691/86421", "answer_type": "rational", "kind": "expression", "math_text": "(-9386 - (-1695)) / (-50603 - 35818)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9386, \"b\": -1695, \"c\": -50603, \"d\": 35818}", "seed": "10340016464306690882", "semantic_fingerprint": "sha256:934a2156c8a814221d6aa718a6c64f73089aadd31a3e4c73ef772776c150af9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002166", "prompt": "Evaluate: (-5984 - 38624) * 4201", "solution_steps": ["Subtract: -5984 - 38624 = -44608", "Multiply: -44608 * 4201 = -187398208"], "final_answer": "-187398208", "answer_type": "integer", "kind": "expression", "math_text": "(-5984 - 38624) * 4201", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5984, \"b\": 38624, \"c\": 4201}", "seed": "3042037098985747308", "semantic_fingerprint": "sha256:288dc126736c9dd772c0ee3dcd3ee938d4a9ec32e402ae62c9d8493a005c315f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002167", "prompt": "Calculate: (38280 + 2761) / (-7652)", "solution_steps": ["Add: 38280 + 2761 = 41041", "Divide: 41041 / (-7652) = -41041/7652"], "final_answer": "-41041/7652", "answer_type": "rational", "kind": "expression", "math_text": "(38280 + 2761) / (-7652)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38280, \"b\": 2761, \"c\": -7652}", "seed": "11120258484849479336", "semantic_fingerprint": "sha256:7d1eff77cc4686ba260abcb882192dc9334ef3a71b0fb2f1dbfc8cdd8dfb3f06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002168", "prompt": "Evaluate: -13910 * (76895 / (-62298)) * (-2733)", "solution_steps": ["Divide: 76895 / (-62298) = -76895/62298", "Multiply: -13910 * (-76895/62298) = 534804725/31149", "Multiply: (534804725/31149) * (-2733) = -487207104475/10383"], "final_answer": "-487207104475/10383", "answer_type": "rational", "kind": "expression", "math_text": "-13910 * (76895 / (-62298)) * (-2733)", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13910, \"b\": 76895, \"c\": -62298, \"d\": -2733}", "seed": "3050199798364548149", "semantic_fingerprint": "sha256:d3d61ccf6c636c97d67abb44be1a3a320564958fd0071092222cb6eb6f8185a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002169", "prompt": "Calculate: (8477 - 8456) * (29503 / (-43512)) + (-56668 + 8264)", "solution_steps": ["Subtract: 8477 - 8456 = 21", "Divide: 29503 / (-43512) = -29503/43512", "Multiply: 21 * (-29503/43512) = -29503/2072", "Add: -56668 + 8264 = -48404", "Add: -29503/2072 + (-48404) = -100322591/2072"], "final_answer": "-100322591/2072", "answer_type": "rational", "kind": "expression", "math_text": "(8477 - 8456) * (29503 / (-43512)) + (-56668 + 8264)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8477, \"b\": 8456, \"c\": 29503, \"d\": -43512, \"e\": -56668, \"f\": 8264}", "seed": "2622756158197412592", "semantic_fingerprint": "sha256:ea5c299a311ab391c3ba1a14f7543240344c16431e025032f1d2596511dafe2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002170", "prompt": "Evaluate: -4249 / (-6073) + (-2782)", "solution_steps": ["Divide: -4249 / (-6073) = 4249/6073", "Add: 4249/6073 + (-2782) = -16890837/6073"], "final_answer": "-16890837/6073", "answer_type": "rational", "kind": "expression", "math_text": "-4249 / (-6073) + (-2782)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4249, \"b\": -6073, \"c\": -2782}", "seed": "15747343469434376871", "semantic_fingerprint": "sha256:0bb0617514a3270ceb758ec369b765c45e1d92c3b9e6f67853842f543b9c49f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002171", "prompt": "What is -46480 + (-82156) - (-4353 - 8016)?", "solution_steps": ["Add: -46480 + (-82156) = -128636", "Subtract: -4353 - 8016 = -12369", "Subtract: -128636 - (-12369) = -116267"], "final_answer": "-116267", "answer_type": "integer", "kind": "expression", "math_text": "-46480 + (-82156) - (-4353 - 8016)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -46480, \"b\": -82156, \"c\": -4353, \"d\": 8016}", "seed": "10679626049043005094", "semantic_fingerprint": "sha256:df664726c976adf7edea24dae8ca70c46bca9f287a2dc7726c3166e1d66bdb09", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002172", "prompt": "Solve for x: x = 18x + 1037", "solution_steps": ["Subtract 18x from both sides: -17x = 1037", "Divide both sides by -17: x = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 18x + 1037", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": 1037, \"x\": -61}", "seed": "5691567306324443121", "semantic_fingerprint": "sha256:e43700f1d5b8f698929298459a54da857dc51d307f266409252ac0f87b2d2642", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002173", "prompt": "Solve for x: 33x = x", "solution_steps": ["Subtract x from both sides: 32x = 0", "Divide both sides by 32: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33}", "seed": "14208591840444055109", "semantic_fingerprint": "sha256:8b324d2cd1abdb1fc25891edf3d10ff48254585525fe3d94147ebeec57aeed93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002174", "prompt": "Compute: 89772 + 5798 * 3299", "solution_steps": ["Multiply: 5798 * 3299 = 19127602", "Add: 89772 + 19127602 = 19217374"], "final_answer": "19217374", "answer_type": "integer", "kind": "expression", "math_text": "89772 + 5798 * 3299", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 89772, \"b\": 5798, \"c\": 3299}", "seed": "104473755223898976", "semantic_fingerprint": "sha256:7e4eda9063674bee8ced973030bde23e48e77af0875ddab1def24b3dfcfcbe6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002175", "prompt": "Calculate: -6055 / 2578", "solution_steps": ["Divide: -6055 / 2578 = -6055/2578"], "final_answer": "-6055/2578", "answer_type": "rational", "kind": "expression", "math_text": "-6055 / 2578", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6055, \"b\": 2578}", "seed": "2134119235474341356", "semantic_fingerprint": "sha256:64238059c18c544cc7896f20412680d4ebab123c368e42d3d2c468667b270e95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002176", "prompt": "Compute: (9690 - (-9890 - 7062)) / (-9214)", "solution_steps": ["Subtract: -9890 - 7062 = -16952", "Subtract: 9690 - (-16952) = 26642", "Divide: 26642 / (-9214) = -13321/4607"], "final_answer": "-13321/4607", "answer_type": "rational", "kind": "expression", "math_text": "(9690 - (-9890 - 7062)) / (-9214)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9690, \"b\": -9890, \"c\": 7062, \"d\": -9214}", "seed": "4516728758831186950", "semantic_fingerprint": "sha256:85cc074361a61653d72d50ceb7d0aa3675d2daeb11220f13e478332f569cea45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002177", "prompt": "What is 6425 - 6094 + (-3466)?", "solution_steps": ["Subtract: 6425 - 6094 = 331", "Add: 331 + (-3466) = -3135"], "final_answer": "-3135", "answer_type": "integer", "kind": "expression", "math_text": "6425 - 6094 + (-3466)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6425, \"b\": 6094, \"c\": -3466}", "seed": "10945256079218186746", "semantic_fingerprint": "sha256:39569b08fc6cf0ef518a17d56e5cc8f5d6a223272c5fa793f62ad3ea9e54101c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002178", "prompt": "What is 8466 - (-78458) + 9685?", "solution_steps": ["Subtract: 8466 - (-78458) = 86924", "Add: 86924 + 9685 = 96609"], "final_answer": "96609", "answer_type": "integer", "kind": "expression", "math_text": "8466 - (-78458) + 9685", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8466, \"b\": -78458, \"c\": 9685}", "seed": "16876118112049866926", "semantic_fingerprint": "sha256:4157c83b7306ec76b689a9214994aaaed772a7b9f5f287afefeea09782c9dac7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002179", "prompt": "Solve the equation x - 5355 = 25(x + 5167) - 41404 for x.", "solution_steps": ["Expand: x - 5355 = 25x + 129175 - 41404", "Combine constants: x - 5355 = 25x + 87771", "Subtract 25x from both sides: -24x - 5355 = 87771", "Add 5355 to both sides: -24x = 93126", "Divide both sides by -24: x = -15521/4"], "final_answer": "-15521/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5355 = 25(x + 5167) - 41404", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5355, \"b\": 25, \"c\": 5167, \"d\": 41404}", "seed": "3796943553771083870", "semantic_fingerprint": "sha256:5dab21358203fdd73aa5a2cee29d8e86309655300427a9408cc2a6d767edb2cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002180", "prompt": "Evaluate: 18716 - (-4325 - 1350) / (-70362)", "solution_steps": ["Subtract: -4325 - 1350 = -5675", "Divide: -5675 / (-70362) = 5675/70362", "Subtract: 18716 - 5675/70362 = 1316889517/70362"], "final_answer": "1316889517/70362", "answer_type": "rational", "kind": "expression", "math_text": "18716 - (-4325 - 1350) / (-70362)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18716, \"b\": -4325, \"c\": 1350, \"d\": -70362}", "seed": "2499351303400818627", "semantic_fingerprint": "sha256:983d82cbccc4e614b7553d388c6bcefa6997a29ca2bb38e49e274273640dbfc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002181", "prompt": "Find x: -27(x + 39099) = -19(x - 8041)", "solution_steps": ["Expand: -27x - 1055673 = -19(x - 8041)", "Expand: -27x - 1055673 = -19x + 152779", "Add 19x to both sides: -8x - 1055673 = 152779", "Add 1055673 to both sides: -8x = 1208452", "Divide both sides by -8: x = -302113/2"], "final_answer": "-302113/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x + 39099) = -19(x - 8041)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 39099, \"c\": -19, \"d\": 8041}", "seed": "3242654065277941320", "semantic_fingerprint": "sha256:45e9a3e2655de47f5df3b756305a4e5f6afb639a51bc9e692bba9ffe4ca75e62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002182", "prompt": "Solve for x: -27(x - 32809) = -13(x + 46655) - 66527", "solution_steps": ["Expand: -27x + 885843 = -13(x + 46655) - 66527", "Expand: -27x + 885843 = -13x - 606515 - 66527", "Combine constants: -27x + 885843 = -13x - 673042", "Add 13x to both sides: -14x + 885843 = -673042", "Subtract 885843 from both sides: -14x = -1558885", "Divide both sides by -14: x = 1558885/14"], "final_answer": "1558885/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x - 32809) = -13(x + 46655) - 66527", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 32809, \"c\": -13, \"d\": 46655, \"e\": 66527}", "seed": "9243366557121290137", "semantic_fingerprint": "sha256:869716238d251dd865a1a892ad7ad0a1f09eb8059f3eb09461703fe20dc9d4d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002183", "prompt": "Evaluate: -10172 - (-3991) - 1203 - 1276", "solution_steps": ["Subtract: -10172 - (-3991) = -6181", "Subtract: -6181 - 1203 = -7384", "Subtract: -7384 - 1276 = -8660"], "final_answer": "-8660", "answer_type": "integer", "kind": "expression", "math_text": "-10172 - (-3991) - 1203 - 1276", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -10172, \"b\": -3991, \"c\": 1203, \"d\": 1276}", "seed": "7971722105506359508", "semantic_fingerprint": "sha256:432986f08392b6fc7fd90dfac685491d5ddd83abb1b222c670eea4a1981e4a46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002184", "prompt": "Evaluate: -61135 * 50151 - (-9230)", "solution_steps": ["Multiply: -61135 * 50151 = -3065981385", "Subtract: -3065981385 - (-9230) = -3065972155"], "final_answer": "-3065972155", "answer_type": "integer", "kind": "expression", "math_text": "-61135 * 50151 - (-9230)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -61135, \"b\": 50151, \"c\": -9230}", "seed": "11181675243907875186", "semantic_fingerprint": "sha256:c4b553ea75dbab3eecdf03d95da3f3cbd651779a560a747594a0777f7bee16c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002185", "prompt": "Solve for x: 30x - 94435 = -92335", "solution_steps": ["Add 94435 to both sides: 30x = 2100", "Divide both sides by 30: x = 70"], "final_answer": "70", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x - 94435 = -92335", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 94435, \"d\": -92335, \"x\": 70}", "seed": "4278005383906824132", "semantic_fingerprint": "sha256:73e41f67f7edbdd8150e69cd8260818288f2b74754c8e6b6281ee288bee7fb79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002186", "prompt": "What value of x satisfies -25(x - 1244) - 26160 = x?", "solution_steps": ["Expand: -25x + 31100 - 26160 = x", "Combine constants: -25x + 4940 = x", "Subtract x from both sides: -26x + 4940 = 0", "Subtract 4940 from both sides: -26x = -4940", "Divide both sides by -26: x = 190"], "final_answer": "190", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25(x - 1244) - 26160 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 1244, \"d\": -26160, \"x\": 190}", "seed": "10805965661404815638", "semantic_fingerprint": "sha256:32930d628b33658f0b8eef024008ec6635c874d6d1b2403afbecbc2b498dbd41", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002187", "prompt": "Evaluate: (4158 + (-8648 - (7311 - 1819))) / (84732 - (-2028))", "solution_steps": ["Subtract: 7311 - 1819 = 5492", "Subtract: -8648 - 5492 = -14140", "Add: 4158 + (-14140) = -9982", "Subtract: 84732 - (-2028) = 86760", "Divide: -9982 / 86760 = -4991/43380"], "final_answer": "-4991/43380", "answer_type": "rational", "kind": "expression", "math_text": "(4158 + (-8648 - (7311 - 1819))) / (84732 - (-2028))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n (- n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4158, \"b\": -8648, \"c\": 7311, \"d\": 1819, \"e\": 84732, \"f\": -2028}", "seed": "4180664578017052419", "semantic_fingerprint": "sha256:51c4a2b01285af210c31795d73ec002516c567372bf7565b8ab0d31fd3780e4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002188", "prompt": "Find x: x - 64766 = 21x - 62066", "solution_steps": ["Subtract 21x from both sides: -20x - 64766 = -62066", "Add 64766 to both sides: -20x = 2700", "Divide both sides by -20: x = -135"], "final_answer": "-135", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 64766 = 21x - 62066", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 64766, \"b\": 21, \"d\": -62066, \"x\": -135}", "seed": "16879589096311746724", "semantic_fingerprint": "sha256:a0a07d7574b060e5db3467db46314b2c3f0599f7a8bb783b336a4af6aa6a4eb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002189", "prompt": "Calculate: -3692 + (95405 - (-96358 - (-4434)))", "solution_steps": ["Subtract: -96358 - (-4434) = -91924", "Subtract: 95405 - (-91924) = 187329", "Add: -3692 + 187329 = 183637"], "final_answer": "183637", "answer_type": "integer", "kind": "expression", "math_text": "-3692 + (95405 - (-96358 - (-4434)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3692, \"b\": 95405, \"c\": -96358, \"d\": -4434}", "seed": "14434580002945048663", "semantic_fingerprint": "sha256:fb4b16d4fcc12bfd5894cdfe3cdb3245ca321a4b480533f8862aa5c8cc430313", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002190", "prompt": "Evaluate: -6419 * (15498 - (-11957))", "solution_steps": ["Subtract: 15498 - (-11957) = 27455", "Multiply: -6419 * 27455 = -176233645"], "final_answer": "-176233645", "answer_type": "integer", "kind": "expression", "math_text": "-6419 * (15498 - (-11957))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6419, \"b\": 15498, \"c\": -11957}", "seed": "7276379782867167643", "semantic_fingerprint": "sha256:da2873cc23395982228c7e8538a07a6b84b2cc329e8c70e7d0f777b2cee41076", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002191", "prompt": "Find x: -25(x - 47590) - 1759 = 7049", "solution_steps": ["Expand: -25x + 1189750 - 1759 = 7049", "Combine constants: -25x + 1187991 = 7049", "Subtract 1187991 from both sides: -25x = -1180942", "Divide both sides by -25: x = 1180942/25"], "final_answer": "1180942/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 47590) - 1759 = 7049", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 47590, \"c\": 1759, \"d\": 7049}", "seed": "7575051722819472550", "semantic_fingerprint": "sha256:e0c0d1f2706372897d9e4eb34321a007940548fc57d3152af6f0651c3631a342", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002192", "prompt": "Evaluate: -83779 - (-5372)", "solution_steps": ["Subtract: -83779 - (-5372) = -78407"], "final_answer": "-78407", "answer_type": "integer", "kind": "expression", "math_text": "-83779 - (-5372)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -83779, \"b\": -5372}", "seed": "4654961047895888446", "semantic_fingerprint": "sha256:0bf434adf3d10106de22bc12c0a23385ea044eabc7958106c20b544d7ed8767c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002193", "prompt": "Calculate: -3314 - (-11345) / 96647", "solution_steps": ["Divide: -11345 / 96647 = -11345/96647", "Subtract: -3314 - (-11345/96647) = -320276813/96647"], "final_answer": "-320276813/96647", "answer_type": "rational", "kind": "expression", "math_text": "-3314 - (-11345) / 96647", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3314, \"b\": -11345, \"c\": 96647}", "seed": "6571243497695552498", "semantic_fingerprint": "sha256:37ae3d1601d2ca5cfef64e93bffcdc16e7af55eb502b09c97000c2ac005a08fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002194", "prompt": "What is -57576 + (8275 / (-5238) - 3723)?", "solution_steps": ["Divide: 8275 / (-5238) = -8275/5238", "Subtract: -8275/5238 - 3723 = -19509349/5238", "Add: -57576 + (-19509349/5238) = -321092437/5238"], "final_answer": "-321092437/5238", "answer_type": "rational", "kind": "expression", "math_text": "-57576 + (8275 / (-5238) - 3723)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -57576, \"b\": 8275, \"c\": -5238, \"d\": 3723}", "seed": "16701549858369843283", "semantic_fingerprint": "sha256:b0c471378cd14cd837e5cb6bc73e85a7bf6fdbb2e4766eec581203038bd8ca86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002195", "prompt": "Evaluate: 77439 - 3049 - 1301 * (-42354)", "solution_steps": ["Subtract: 77439 - 3049 = 74390", "Multiply: 1301 * (-42354) = -55102554", "Subtract: 74390 - (-55102554) = 55176944"], "final_answer": "55176944", "answer_type": "integer", "kind": "expression", "math_text": "77439 - 3049 - 1301 * (-42354)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 77439, \"b\": 3049, \"c\": 1301, \"d\": -42354}", "seed": "16295158652882738192", "semantic_fingerprint": "sha256:860b0cdac68db32d4cde5df47049e7f144fb0426d91a4a01fcd61690f620e605", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002196", "prompt": "What is -99956 - (-9842) + (-42471)?", "solution_steps": ["Subtract: -99956 - (-9842) = -90114", "Add: -90114 + (-42471) = -132585"], "final_answer": "-132585", "answer_type": "integer", "kind": "expression", "math_text": "-99956 - (-9842) + (-42471)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99956, \"b\": -9842, \"c\": -42471}", "seed": "14155248000124055834", "semantic_fingerprint": "sha256:1c92b552affad21dbf53a55b925f1fe5f34d3abc43fe238866c34a81e0785875", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002197", "prompt": "What is 73636 + (-6185) * 6714?", "solution_steps": ["Multiply: -6185 * 6714 = -41526090", "Add: 73636 + (-41526090) = -41452454"], "final_answer": "-41452454", "answer_type": "integer", "kind": "expression", "math_text": "73636 + (-6185) * 6714", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73636, \"b\": -6185, \"c\": 6714}", "seed": "4269994225301400533", "semantic_fingerprint": "sha256:faa7258c7048f6d937b1267a398645091d8ecd49cac1b4e7a33f8948c57a065e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002198", "prompt": "What is -9958 / 32197 * (1888 + (-5963) - (-86760))?", "solution_steps": ["Divide: -9958 / 32197 = -9958/32197", "Add: 1888 + (-5963) = -4075", "Subtract: -4075 - (-86760) = 82685", "Multiply: (-9958/32197) * 82685 = -823377230/32197"], "final_answer": "-823377230/32197", "answer_type": "rational", "kind": "expression", "math_text": "-9958 / 32197 * (1888 + (-5963) - (-86760))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9958, \"b\": 32197, \"c\": 1888, \"d\": -5963, \"e\": -86760}", "seed": "9592243012795242350", "semantic_fingerprint": "sha256:f13037e74014619b36a000115575d877a2b5cf66506634c6e129c77026a0ef30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002199", "prompt": "What is 8000 - 28504 - (-6725) / ((2310 + 4054) / 3361)?", "solution_steps": ["Subtract: 8000 - 28504 = -20504", "Add: 2310 + 4054 = 6364", "Divide: 6364 / 3361 = 6364/3361", "Divide: -6725 / (6364/3361) = -22602725/6364", "Subtract: -20504 - (-22602725/6364) = -107884731/6364"], "final_answer": "-107884731/6364", "answer_type": "rational", "kind": "expression", "math_text": "8000 - 28504 - (-6725) / ((2310 + 4054) / 3361)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ n (/ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8000, \"b\": 28504, \"c\": -6725, \"d\": 2310, \"e\": 4054, \"f\": 3361}", "seed": "6731978594765852091", "semantic_fingerprint": "sha256:51d16e1b693b9971f4e0434e28d4a40675d24a032c0f277c891dc8d74a498ffe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002200", "prompt": "What is 52284 / 3670?", "solution_steps": ["Divide: 52284 / 3670 = 26142/1835"], "final_answer": "26142/1835", "answer_type": "rational", "kind": "expression", "math_text": "52284 / 3670", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 52284, \"b\": 3670}", "seed": "1396400201343174950", "semantic_fingerprint": "sha256:be4f7fd68e404a5d7f2f6b6c902e8977e4b3f7fb9ec058d294a8f9d071c195b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002201", "prompt": "Compute: -62876 / 75726 - (-19259)", "solution_steps": ["Divide: -62876 / 75726 = -31438/37863", "Subtract: -31438/37863 - (-19259) = 729172079/37863"], "final_answer": "729172079/37863", "answer_type": "rational", "kind": "expression", "math_text": "-62876 / 75726 - (-19259)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62876, \"b\": 75726, \"c\": -19259}", "seed": "7977609295394100468", "semantic_fingerprint": "sha256:b5bdc6e0a22955c5856f72319a565d0713eb073de07f331406d2bc949d3c40eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002202", "prompt": "Compute: 89843 - 31915 + (-73920) * 8609", "solution_steps": ["Subtract: 89843 - 31915 = 57928", "Multiply: -73920 * 8609 = -636377280", "Add: 57928 + (-636377280) = -636319352"], "final_answer": "-636319352", "answer_type": "integer", "kind": "expression", "math_text": "89843 - 31915 + (-73920) * 8609", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 89843, \"b\": 31915, \"c\": -73920, \"d\": 8609}", "seed": "8819275703711284331", "semantic_fingerprint": "sha256:77367affa8e6b8ab14b3d98169c884e5b0df5799a4f632b9d50c52685b7d9bf3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002203", "prompt": "Compute: -2282 * (-2290)", "solution_steps": ["Multiply: -2282 * (-2290) = 5225780"], "final_answer": "5225780", "answer_type": "integer", "kind": "expression", "math_text": "-2282 * (-2290)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2282, \"b\": -2290}", "seed": "13042324254606020537", "semantic_fingerprint": "sha256:8f627b9743cb9bede92c2a2cdbc68a3db615aeb7d4153a67c1d40574d3329651", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002204", "prompt": "Calculate: -44542 + 4358", "solution_steps": ["Add: -44542 + 4358 = -40184"], "final_answer": "-40184", "answer_type": "integer", "kind": "expression", "math_text": "-44542 + 4358", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -44542, \"b\": 4358}", "seed": "16530653356546167289", "semantic_fingerprint": "sha256:85455b7785345dd05788c77dbf42df9736e01eca4e3766aeaf47ceb649e22f00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002205", "prompt": "What is 3480 / (-3752) - 59552 * 4092?", "solution_steps": ["Divide: 3480 / (-3752) = -435/469", "Multiply: 59552 * 4092 = 243686784", "Subtract: -435/469 - 243686784 = -114289102131/469"], "final_answer": "-114289102131/469", "answer_type": "rational", "kind": "expression", "math_text": "3480 / (-3752) - 59552 * 4092", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3480, \"b\": -3752, \"c\": 59552, \"d\": 4092}", "seed": "14972745725897255972", "semantic_fingerprint": "sha256:d50dd629374563aac65298fec43b86dc8864ab84e65c65de65b8eb0d6a9f5081", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002206", "prompt": "What is (-1680 + (-44806) - 90440 + 4337 * (-5879)) / (-5011)?", "solution_steps": ["Add: -1680 + (-44806) = -46486", "Subtract: -46486 - 90440 = -136926", "Multiply: 4337 * (-5879) = -25497223", "Add: -136926 + (-25497223) = -25634149", "Divide: -25634149 / (-5011) = 25634149/5011"], "final_answer": "25634149/5011", "answer_type": "rational", "kind": "expression", "math_text": "(-1680 + (-44806) - 90440 + 4337 * (-5879)) / (-5011)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- (+ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1680, \"b\": -44806, \"c\": 90440, \"d\": 4337, \"e\": -5879, \"f\": -5011}", "seed": "2501887123188117788", "semantic_fingerprint": "sha256:13a830d210818127271f06143eb919139f776094490f5bc6a748888b9767947f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002207", "prompt": "Calculate: 29548 + (-3533)", "solution_steps": ["Add: 29548 + (-3533) = 26015"], "final_answer": "26015", "answer_type": "integer", "kind": "expression", "math_text": "29548 + (-3533)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 29548, \"b\": -3533}", "seed": "397134630980432727", "semantic_fingerprint": "sha256:350a643f7c6f6fae97f6cf20dcaf25d47010ca7ca7d62a7c12fb4ac826a46ad5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002208", "prompt": "Compute: -82344 / (-71026 + (-88918))", "solution_steps": ["Add: -71026 + (-88918) = -159944", "Divide: -82344 / (-159944) = 10293/19993"], "final_answer": "10293/19993", "answer_type": "rational", "kind": "expression", "math_text": "-82344 / (-71026 + (-88918))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -82344, \"b\": -71026, \"c\": -88918}", "seed": "1287711507242428848", "semantic_fingerprint": "sha256:5feaaaeed5dabf0ed50e8e30f19255bdf523816d2ca1c39482f8fc8fdd507e9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002209", "prompt": "What value of x satisfies x - 42338 = -23(x + 1039) + 6028?", "solution_steps": ["Expand: x - 42338 = -23x - 23897 + 6028", "Combine constants: x - 42338 = -23x - 17869", "Add 23x to both sides: 24x - 42338 = -17869", "Add 42338 to both sides: 24x = 24469", "Divide both sides by 24: x = 24469/24"], "final_answer": "24469/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 42338 = -23(x + 1039) + 6028", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42338, \"b\": -23, \"c\": 1039, \"d\": 6028}", "seed": "6429118994816820475", "semantic_fingerprint": "sha256:7ba80b2b177175814cdf44fdc8eabecc64c1090b1b152cca2285a8f469fc2e49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002210", "prompt": "Calculate: -2034 / (-7207) - (-1984)", "solution_steps": ["Divide: -2034 / (-7207) = 2034/7207", "Subtract: 2034/7207 - (-1984) = 14300722/7207"], "final_answer": "14300722/7207", "answer_type": "rational", "kind": "expression", "math_text": "-2034 / (-7207) - (-1984)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2034, \"b\": -7207, \"c\": -1984}", "seed": "14060288627028472391", "semantic_fingerprint": "sha256:55a538120a868152d459ea4bc2a54b01a767e6e0697f6963a369d6e971df95be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002211", "prompt": "Compute: 5291 + (-56621) / (9907 / (-3987))", "solution_steps": ["Divide: 9907 / (-3987) = -9907/3987", "Divide: -56621 / (-9907/3987) = 225747927/9907", "Add: 5291 + 225747927/9907 = 278165864/9907"], "final_answer": "278165864/9907", "answer_type": "rational", "kind": "expression", "math_text": "5291 + (-56621) / (9907 / (-3987))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5291, \"b\": -56621, \"c\": 9907, \"d\": -3987}", "seed": "3630215636218798375", "semantic_fingerprint": "sha256:84168c52d5f0cc4c32dccda39f5273963991ea9e92bc742847ba675b505beaa7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002212", "prompt": "Evaluate: 1208 * (-95177 / (-2468 - (-6761)))", "solution_steps": ["Subtract: -2468 - (-6761) = 4293", "Divide: -95177 / 4293 = -95177/4293", "Multiply: 1208 * (-95177/4293) = -114973816/4293"], "final_answer": "-114973816/4293", "answer_type": "rational", "kind": "expression", "math_text": "1208 * (-95177 / (-2468 - (-6761)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1208, \"b\": -95177, \"c\": -2468, \"d\": -6761}", "seed": "8071856988925176806", "semantic_fingerprint": "sha256:4e52baa9f46a6d5a7c8bb38c44accd45e1d7a91c5f7281e4145f0d52f198b833", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002213", "prompt": "Evaluate: 35502 * (-9529) / (-38786)", "solution_steps": ["Multiply: 35502 * (-9529) = -338298558", "Divide: -338298558 / (-38786) = 169149279/19393"], "final_answer": "169149279/19393", "answer_type": "rational", "kind": "expression", "math_text": "35502 * (-9529) / (-38786)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35502, \"b\": -9529, \"c\": -38786}", "seed": "12775351178462919442", "semantic_fingerprint": "sha256:327f6c0b41b3505742e1f3372201183dccdc67c42b885a957ece32b353839e9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002214", "prompt": "Solve the equation 19x = -13(x + 78371) for x.", "solution_steps": ["Expand: 19x = -13x - 1018823", "Add 13x to both sides: 32x = -1018823", "Divide both sides by 32: x = -1018823/32"], "final_answer": "-1018823/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x = -13(x + 78371)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": -13, \"c\": 78371}", "seed": "11605368146350664026", "semantic_fingerprint": "sha256:c4e63ed3591bbbb478b48d4bec67935d8f06c298524cbddc584f9e87222f8573", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002215", "prompt": "Calculate: 11854 + (-8650 * 6770 - 5759) + (-53133)", "solution_steps": ["Multiply: -8650 * 6770 = -58560500", "Subtract: -58560500 - 5759 = -58566259", "Add: 11854 + (-58566259) = -58554405", "Add: -58554405 + (-53133) = -58607538"], "final_answer": "-58607538", "answer_type": "integer", "kind": "expression", "math_text": "11854 + (-8650 * 6770 - 5759) + (-53133)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 11854, \"b\": -8650, \"c\": 6770, \"d\": 5759, \"e\": -53133}", "seed": "2443188224258949175", "semantic_fingerprint": "sha256:4ea97e63dcd369d8f2e90d4486391f4bf4d2aba7de3283a0bac861a3ec6f0c02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002216", "prompt": "What value of x satisfies 40x - 6580 = x - 3538?", "solution_steps": ["Subtract x from both sides: 39x - 6580 = -3538", "Add 6580 to both sides: 39x = 3042", "Divide both sides by 39: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x - 6580 = x - 3538", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 6580, \"d\": -3538, \"x\": 78}", "seed": "17888895345744302912", "semantic_fingerprint": "sha256:0c553bf97439cc0116fc7d97988efb519b18d316c6489bfb77f58a8bb556bc69", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002217", "prompt": "Evaluate: (-7438 - (-15981)) * (1620 + 7911 + (-3019))", "solution_steps": ["Subtract: -7438 - (-15981) = 8543", "Add: 1620 + 7911 = 9531", "Add: 9531 + (-3019) = 6512", "Multiply: 8543 * 6512 = 55632016"], "final_answer": "55632016", "answer_type": "integer", "kind": "expression", "math_text": "(-7438 - (-15981)) * (1620 + 7911 + (-3019))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7438, \"b\": -15981, \"c\": 1620, \"d\": 7911, \"e\": -3019}", "seed": "7494139415887990470", "semantic_fingerprint": "sha256:7ab6e8da0ad4f5762e2584473a96f88cd1817300c637f3a7f620bb5b1722683f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002218", "prompt": "What value of x satisfies 29x + 4441 = x + 9369?", "solution_steps": ["Subtract x from both sides: 28x + 4441 = 9369", "Subtract 4441 from both sides: 28x = 4928", "Divide both sides by 28: x = 176"], "final_answer": "176", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x + 4441 = x + 9369", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 4441, \"d\": 9369, \"x\": 176}", "seed": "11921447713883782335", "semantic_fingerprint": "sha256:9e9bce0f913e057700f8e8f00fa44aba37681e614d1aa886beea965edef13b19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002219", "prompt": "Solve for x: x = 16x - 7645", "solution_steps": ["Subtract 16x from both sides: -15x = -7645", "Divide both sides by -15: x = 1529/3"], "final_answer": "1529/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 16x - 7645", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 7645}", "seed": "8351770106280377635", "semantic_fingerprint": "sha256:e727a5e32392f44fd1a21a2322b01be42f83b6e4a5ba720747c4184f2334da74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002220", "prompt": "Solve the equation x = 32(x - 4601) for x.", "solution_steps": ["Expand: x = 32x - 147232", "Subtract 32x from both sides: -31x = -147232", "Divide both sides by -31: x = 147232/31"], "final_answer": "147232/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 32(x - 4601)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 4601}", "seed": "16646530846978403959", "semantic_fingerprint": "sha256:df9f52f4952af79846631266c845cad06836eb4ff4913c35206e879ff3e8943d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002221", "prompt": "Calculate: -11396 - 9106 / (-7011 - (-1090))", "solution_steps": ["Subtract: -7011 - (-1090) = -5921", "Divide: 9106 / (-5921) = -9106/5921", "Subtract: -11396 - (-9106/5921) = -67466610/5921"], "final_answer": "-67466610/5921", "answer_type": "rational", "kind": "expression", "math_text": "-11396 - 9106 / (-7011 - (-1090))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -11396, \"b\": 9106, \"c\": -7011, \"d\": -1090}", "seed": "12537303669187146106", "semantic_fingerprint": "sha256:882a6ba78bfbc1bd2b0747c2400290145748698d552452af85eaf58f3b3c04ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002222", "prompt": "What value of x satisfies 25(x + 62339) = x?", "solution_steps": ["Expand: 25x + 1558475 = x", "Subtract x from both sides: 24x + 1558475 = 0", "Subtract 1558475 from both sides: 24x = -1558475", "Divide both sides by 24: x = -1558475/24"], "final_answer": "-1558475/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 62339) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 62339}", "seed": "868167467799629507", "semantic_fingerprint": "sha256:c231ca19b005ae7097990eacab8ffb640caa10feeea5b2b719c23318625bae34", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002223", "prompt": "Find x: 40x - 15733 = -35(x + 5830) - 28986", "solution_steps": ["Expand: 40x - 15733 = -35x - 204050 - 28986", "Combine constants: 40x - 15733 = -35x - 233036", "Add 35x to both sides: 75x - 15733 = -233036", "Add 15733 to both sides: 75x = -217303", "Divide both sides by 75: x = -217303/75"], "final_answer": "-217303/75", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x - 15733 = -35(x + 5830) - 28986", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 15733, \"c\": -35, \"d\": 5830, \"e\": 28986}", "seed": "6259986665075805365", "semantic_fingerprint": "sha256:6ec97c3607b308b260d5a7e037301a00efdee663e31c465c20963970777beafe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002224", "prompt": "Calculate: -5338 / 6695", "solution_steps": ["Divide: -5338 / 6695 = -5338/6695"], "final_answer": "-5338/6695", "answer_type": "rational", "kind": "expression", "math_text": "-5338 / 6695", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5338, \"b\": 6695}", "seed": "17875118097211603400", "semantic_fingerprint": "sha256:461ab3958810b350b405226a8ef963e3636f12f3e5fddcb48d88bb43e2e5725f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002225", "prompt": "What is 9335 / (83608 + 92999) * 29288?", "solution_steps": ["Add: 83608 + 92999 = 176607", "Divide: 9335 / 176607 = 9335/176607", "Multiply: (9335/176607) * 29288 = 273403480/176607"], "final_answer": "273403480/176607", "answer_type": "rational", "kind": "expression", "math_text": "9335 / (83608 + 92999) * 29288", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9335, \"b\": 83608, \"c\": 92999, \"d\": 29288}", "seed": "1239012538917143495", "semantic_fingerprint": "sha256:09cd85057f02fb971b63e942fe167b65c4f556c87a3e2921bf5f0a9b06248081", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002226", "prompt": "Calculate: (3175 - (-9206)) * (-1667 + (-2046))", "solution_steps": ["Subtract: 3175 - (-9206) = 12381", "Add: -1667 + (-2046) = -3713", "Multiply: 12381 * (-3713) = -45970653"], "final_answer": "-45970653", "answer_type": "integer", "kind": "expression", "math_text": "(3175 - (-9206)) * (-1667 + (-2046))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3175, \"b\": -9206, \"c\": -1667, \"d\": -2046}", "seed": "17583486378307861873", "semantic_fingerprint": "sha256:76035bff16d4caeb0e9c13bfba60b575ff373b49b6111ec5ee3710270374fedb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002227", "prompt": "Solve the equation 31x = x - 3570 for x.", "solution_steps": ["Subtract x from both sides: 30x = -3570", "Divide both sides by 30: x = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x = x - 3570", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -3570, \"x\": -119}", "seed": "822548936142959161", "semantic_fingerprint": "sha256:9d8e9e74707ebe683c7b171dac92a85bc4a805824f9fee72338250bbd5e7f2ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002228", "prompt": "Find x: 28x + 5904 = -20x", "solution_steps": ["Add 20x to both sides: 48x + 5904 = 0", "Subtract 5904 from both sides: 48x = -5904", "Divide both sides by 48: x = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 5904 = -20x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": -20, \"d\": 5904, \"x\": -123}", "seed": "10380670500676853845", "semantic_fingerprint": "sha256:10abb49de832e58c3816ae506ef4f1da7c0d9520a0140731858e6ea61406feb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002229", "prompt": "What is -7167 * (-10370) + (-3573)?", "solution_steps": ["Multiply: -7167 * (-10370) = 74321790", "Add: 74321790 + (-3573) = 74318217"], "final_answer": "74318217", "answer_type": "integer", "kind": "expression", "math_text": "-7167 * (-10370) + (-3573)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7167, \"b\": -10370, \"c\": -3573}", "seed": "17297241027777232732", "semantic_fingerprint": "sha256:ff871952a6ce7c4d9df1f5cfc0a68f3482f6b0b56015f040e53f30ac9c36b739", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002230", "prompt": "Calculate: 2831 * (-2941) - (-56152)", "solution_steps": ["Multiply: 2831 * (-2941) = -8325971", "Subtract: -8325971 - (-56152) = -8269819"], "final_answer": "-8269819", "answer_type": "integer", "kind": "expression", "math_text": "2831 * (-2941) - (-56152)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2831, \"b\": -2941, \"c\": -56152}", "seed": "14468150025065581173", "semantic_fingerprint": "sha256:db2ff0419f408d84de3de7b7a99268becf6a17cbf7e21e55aec57bb8411d07f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002231", "prompt": "Calculate: 4503 / 2452 * (-57134) - (-9904)", "solution_steps": ["Divide: 4503 / 2452 = 4503/2452", "Multiply: (4503/2452) * (-57134) = -128637201/1226", "Subtract: -128637201/1226 - (-9904) = -116494897/1226"], "final_answer": "-116494897/1226", "answer_type": "rational", "kind": "expression", "math_text": "4503 / 2452 * (-57134) - (-9904)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4503, \"b\": 2452, \"c\": -57134, \"d\": -9904}", "seed": "2228204056697612958", "semantic_fingerprint": "sha256:a826c8bffb0043ad78d233cb1e3074a5ab590e9877c7326bc019336e06b0ff60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002232", "prompt": "Calculate: -6018 * (-9183) - (-8983 - (25837 - (-1551)))", "solution_steps": ["Multiply: -6018 * (-9183) = 55263294", "Subtract: 25837 - (-1551) = 27388", "Subtract: -8983 - 27388 = -36371", "Subtract: 55263294 - (-36371) = 55299665"], "final_answer": "55299665", "answer_type": "integer", "kind": "expression", "math_text": "-6018 * (-9183) - (-8983 - (25837 - (-1551)))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6018, \"b\": -9183, \"c\": -8983, \"d\": 25837, \"e\": -1551}", "seed": "9775932908323160420", "semantic_fingerprint": "sha256:18822bcbc8d1a65824628a6528cc74086119c9619e3f4b15be7af4d671b753af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002233", "prompt": "Evaluate: 29520 / (-5593 + (-87840))", "solution_steps": ["Add: -5593 + (-87840) = -93433", "Divide: 29520 / (-93433) = -29520/93433"], "final_answer": "-29520/93433", "answer_type": "rational", "kind": "expression", "math_text": "29520 / (-5593 + (-87840))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29520, \"b\": -5593, \"c\": -87840}", "seed": "12388040826159173779", "semantic_fingerprint": "sha256:9d6d6303cf4da7e620fa755fcac351132ee82cf89a74913b419b42fc4f09da71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002234", "prompt": "Evaluate: 55087 - 48971 + (-59011) * (1300 / (-6667))", "solution_steps": ["Subtract: 55087 - 48971 = 6116", "Divide: 1300 / (-6667) = -1300/6667", "Multiply: -59011 * (-1300/6667) = 76714300/6667", "Add: 6116 + 76714300/6667 = 117489672/6667"], "final_answer": "117489672/6667", "answer_type": "rational", "kind": "expression", "math_text": "55087 - 48971 + (-59011) * (1300 / (-6667))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 55087, \"b\": 48971, \"c\": -59011, \"d\": 1300, \"e\": -6667}", "seed": "18148280562272116316", "semantic_fingerprint": "sha256:6eee232abda714b4dadbc502f5e8ea20375fd22b2fa8f337bae55a18a1ff1258", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002235", "prompt": "Evaluate: 9246 - (3082 * 11540 + 43221 / 1638) + (-5762)", "solution_steps": ["Multiply: 3082 * 11540 = 35566280", "Divide: 43221 / 1638 = 14407/546", "Add: 35566280 + 14407/546 = 19419203287/546", "Subtract: 9246 - 19419203287/546 = -19414154971/546", "Add: -19414154971/546 + (-5762) = -19417301023/546"], "final_answer": "-19417301023/546", "answer_type": "rational", "kind": "expression", "math_text": "9246 - (3082 * 11540 + 43221 / 1638) + (-5762)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ (* n n) (/ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9246, \"b\": 3082, \"c\": 11540, \"d\": 43221, \"e\": 1638, \"f\": -5762}", "seed": "3181186544375433997", "semantic_fingerprint": "sha256:31bf02d8a3ca5472679b916a916cae09c4d8580d6153a36bb7c4355d61005d1b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002236", "prompt": "Calculate: 85843 * 3078 - (1902 - 2103) + 5125", "solution_steps": ["Multiply: 85843 * 3078 = 264224754", "Subtract: 1902 - 2103 = -201", "Subtract: 264224754 - (-201) = 264224955", "Add: 264224955 + 5125 = 264230080"], "final_answer": "264230080", "answer_type": "integer", "kind": "expression", "math_text": "85843 * 3078 - (1902 - 2103) + 5125", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 85843, \"b\": 3078, \"c\": 1902, \"d\": 2103, \"e\": 5125}", "seed": "11809330507047114269", "semantic_fingerprint": "sha256:40d175073fd46289e7e3ec55369b035c5b29b0030080dd769bfe3fb779ef8710", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002237", "prompt": "Evaluate: (-9951 - (-5308)) / 7266", "solution_steps": ["Subtract: -9951 - (-5308) = -4643", "Divide: -4643 / 7266 = -4643/7266"], "final_answer": "-4643/7266", "answer_type": "rational", "kind": "expression", "math_text": "(-9951 - (-5308)) / 7266", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9951, \"b\": -5308, \"c\": 7266}", "seed": "2896197511406313939", "semantic_fingerprint": "sha256:dabb4da2b8b5f97678ce39a72c7089c6616c4fb6a5e8ae7f3ab829a9aa0b69e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002238", "prompt": "Evaluate: -60063 - (72628 + 7494) + (-1028 - (-5439))", "solution_steps": ["Add: 72628 + 7494 = 80122", "Subtract: -60063 - 80122 = -140185", "Subtract: -1028 - (-5439) = 4411", "Add: -140185 + 4411 = -135774"], "final_answer": "-135774", "answer_type": "integer", "kind": "expression", "math_text": "-60063 - (72628 + 7494) + (-1028 - (-5439))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -60063, \"b\": 72628, \"c\": 7494, \"d\": -1028, \"e\": -5439}", "seed": "12696929352686731923", "semantic_fingerprint": "sha256:888a445e7e3392dc0d92e0ecffff90d1beee7e4666b4fed51ee1a0548bf76907", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002239", "prompt": "Solve the equation 13(x - 4685) - 6968 = 21x - 69361 for x.", "solution_steps": ["Expand: 13x - 60905 - 6968 = 21x - 69361", "Combine constants: 13x - 67873 = 21x - 69361", "Subtract 21x from both sides: -8x - 67873 = -69361", "Add 67873 to both sides: -8x = -1488", "Divide both sides by -8: x = 186"], "final_answer": "186", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x - 4685) - 6968 = 21x - 69361", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 4685, \"c\": 6968, \"d\": 21, \"f\": -69361, \"x\": 186}", "seed": "15915738245163996185", "semantic_fingerprint": "sha256:8b70debef55f8862de8e2a49c85832e9872b420585f5160b7efb141df98714f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002240", "prompt": "Evaluate: 3645 - (-1414)", "solution_steps": ["Subtract: 3645 - (-1414) = 5059"], "final_answer": "5059", "answer_type": "integer", "kind": "expression", "math_text": "3645 - (-1414)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3645, \"b\": -1414}", "seed": "2256127174345722995", "semantic_fingerprint": "sha256:da47a81442827a624f511f2958c721430a7077656fed1976039d3fd1d8eca727", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002241", "prompt": "What value of x satisfies 15(x - 8069) - 49817 = 25x + 42847?", "solution_steps": ["Expand: 15x - 121035 - 49817 = 25x + 42847", "Combine constants: 15x - 170852 = 25x + 42847", "Subtract 25x from both sides: -10x - 170852 = 42847", "Add 170852 to both sides: -10x = 213699", "Divide both sides by -10: x = -213699/10"], "final_answer": "-213699/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 8069) - 49817 = 25x + 42847", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 8069, \"c\": 49817, \"d\": 25, \"e\": 42847}", "seed": "17830252028861421584", "semantic_fingerprint": "sha256:f911e5264bfa20d5ba790df7c5706c477b34260c60d164435481312375b9ffa0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002242", "prompt": "Find x: x = -24(x + 1848) + 42002", "solution_steps": ["Expand: x = -24x - 44352 + 42002", "Combine constants: x = -24x - 2350", "Add 24x to both sides: 25x = -2350", "Divide both sides by 25: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -24(x + 1848) + 42002", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 1848, \"d\": 42002, \"x\": -94}", "seed": "16244527635366498123", "semantic_fingerprint": "sha256:3cfd75ea4ebe00f9c1eb5d4dac17f7aa5262789712dba2cfb70e71e1c8419c6f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002243", "prompt": "What is 2884 - 7579 * (-81292 / (-44461)) + 91948 + (-82052)?", "solution_steps": ["Divide: -81292 / (-44461) = 81292/44461", "Multiply: 7579 * (81292/44461) = 616112068/44461", "Subtract: 2884 - 616112068/44461 = -487886544/44461", "Add: -487886544/44461 + 91948 = 3600213484/44461", "Add: 3600213484/44461 + (-82052) = -47900488/44461"], "final_answer": "-47900488/44461", "answer_type": "rational", "kind": "expression", "math_text": "2884 - 7579 * (-81292 / (-44461)) + 91948 + (-82052)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n (* n (/ n n))) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2884, \"b\": 7579, \"c\": -81292, \"d\": -44461, \"e\": 91948, \"f\": -82052}", "seed": "12891570016890993582", "semantic_fingerprint": "sha256:63324875fc24eb60639ad20485b470c7d4ac7ce0c30f3230d076b85ce7984815", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002244", "prompt": "Evaluate: -56219 / 2955", "solution_steps": ["Divide: -56219 / 2955 = -56219/2955"], "final_answer": "-56219/2955", "answer_type": "rational", "kind": "expression", "math_text": "-56219 / 2955", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -56219, \"b\": 2955}", "seed": "16250452103906618979", "semantic_fingerprint": "sha256:06d3112ad9a9d6aefe32b268b574e144a68e27cc4b9325990c7627b7c140a3d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002245", "prompt": "Compute: -24721 - (5063 - 4196 + (-18443 - (-5336)))", "solution_steps": ["Subtract: 5063 - 4196 = 867", "Subtract: -18443 - (-5336) = -13107", "Add: 867 + (-13107) = -12240", "Subtract: -24721 - (-12240) = -12481"], "final_answer": "-12481", "answer_type": "integer", "kind": "expression", "math_text": "-24721 - (5063 - 4196 + (-18443 - (-5336)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24721, \"b\": 5063, \"c\": 4196, \"d\": -18443, \"e\": -5336}", "seed": "15214870404725920146", "semantic_fingerprint": "sha256:3cae287ee9eeca4114f8a1648c8b19eb58f30f4df33e4ba9e444b0434f5ea086", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002246", "prompt": "Calculate: -6486 + 8932 + (69398 * 6558 + 2993) + (-4247)", "solution_steps": ["Add: -6486 + 8932 = 2446", "Multiply: 69398 * 6558 = 455112084", "Add: 455112084 + 2993 = 455115077", "Add: 2446 + 455115077 = 455117523", "Add: 455117523 + (-4247) = 455113276"], "final_answer": "455113276", "answer_type": "integer", "kind": "expression", "math_text": "-6486 + 8932 + (69398 * 6558 + 2993) + (-4247)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (+ (* n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6486, \"b\": 8932, \"c\": 69398, \"d\": 6558, \"e\": 2993, \"f\": -4247}", "seed": "5603356720632082650", "semantic_fingerprint": "sha256:c7eede0c6fc0b4a05a9b32945b87501d20a87e605d81406ccd23d9b5b448102b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002247", "prompt": "What is -8867 * (4015 + 78020)?", "solution_steps": ["Add: 4015 + 78020 = 82035", "Multiply: -8867 * 82035 = -727404345"], "final_answer": "-727404345", "answer_type": "integer", "kind": "expression", "math_text": "-8867 * (4015 + 78020)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8867, \"b\": 4015, \"c\": 78020}", "seed": "5549356060602220034", "semantic_fingerprint": "sha256:edad5541de8772ac36a4b403d513bd79ab248e57f429a0a70c17ee1cd3dd9033", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002248", "prompt": "Solve for x: 29x + 2156 = x", "solution_steps": ["Subtract x from both sides: 28x + 2156 = 0", "Subtract 2156 from both sides: 28x = -2156", "Divide both sides by 28: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x + 2156 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 2156, \"x\": -77}", "seed": "13805902943222574873", "semantic_fingerprint": "sha256:63460928d1bb37980159f7099aff5545c909df144b2ec14ebbff3a527558c702", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002249", "prompt": "Evaluate: -2651 / (-28987)", "solution_steps": ["Divide: -2651 / (-28987) = 2651/28987"], "final_answer": "2651/28987", "answer_type": "rational", "kind": "expression", "math_text": "-2651 / (-28987)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2651, \"b\": -28987}", "seed": "7349641345150445152", "semantic_fingerprint": "sha256:d5c6cca43db2370c401c551d7417abbcb80c614d40a66b1e51839b14e7c36003", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002250", "prompt": "Compute: (-29023 - 2226) * (-4787)", "solution_steps": ["Subtract: -29023 - 2226 = -31249", "Multiply: -31249 * (-4787) = 149588963"], "final_answer": "149588963", "answer_type": "integer", "kind": "expression", "math_text": "(-29023 - 2226) * (-4787)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29023, \"b\": 2226, \"c\": -4787}", "seed": "5316787602511611588", "semantic_fingerprint": "sha256:3eb6cfa29cbe30f1d6b0032719046228c29d913f82e5c3a31ae2218ee7ccd9ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002251", "prompt": "Solve the equation 19x - 9426 = 27(x + 1955) - 79681 for x.", "solution_steps": ["Expand: 19x - 9426 = 27x + 52785 - 79681", "Combine constants: 19x - 9426 = 27x - 26896", "Subtract 27x from both sides: -8x - 9426 = -26896", "Add 9426 to both sides: -8x = -17470", "Divide both sides by -8: x = 8735/4"], "final_answer": "8735/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x - 9426 = 27(x + 1955) - 79681", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 9426, \"c\": 27, \"d\": 1955, \"e\": 79681}", "seed": "15274607339442968112", "semantic_fingerprint": "sha256:004e808a41d5758782bc85b68a37aac71d0decfaf3d84c2063d74ef4eac2e562", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002252", "prompt": "Compute: -2923 + (-89205)", "solution_steps": ["Add: -2923 + (-89205) = -92128"], "final_answer": "-92128", "answer_type": "integer", "kind": "expression", "math_text": "-2923 + (-89205)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2923, \"b\": -89205}", "seed": "3811567809486428956", "semantic_fingerprint": "sha256:84c3f74d2df893b12a5da4d10d78b32035a2163ae2b93be3e2759b09cc01e5f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002253", "prompt": "Evaluate: 5920 * (-4167)", "solution_steps": ["Multiply: 5920 * (-4167) = -24668640"], "final_answer": "-24668640", "answer_type": "integer", "kind": "expression", "math_text": "5920 * (-4167)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5920, \"b\": -4167}", "seed": "16147224518832485727", "semantic_fingerprint": "sha256:a00875c58a82c0ac1947991c8857b88b6ba1ef8a456100ab57ba24b43668bc99", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002254", "prompt": "Solve for x: 16x = 14x - 2204", "solution_steps": ["Subtract 14x from both sides: 2x = -2204", "Divide both sides by 2: x = -1102"], "final_answer": "-1102", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x = 14x - 2204", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 14, \"c\": 2204}", "seed": "2476326570328118737", "semantic_fingerprint": "sha256:eaf4f6f87977392c7f8aaa9534fc2a529c526641378d324fe11b931bca940cff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002255", "prompt": "Evaluate: -5510 + (7930 / (-6265) - (-59138))", "solution_steps": ["Divide: 7930 / (-6265) = -1586/1253", "Subtract: -1586/1253 - (-59138) = 74098328/1253", "Add: -5510 + 74098328/1253 = 67194298/1253"], "final_answer": "67194298/1253", "answer_type": "rational", "kind": "expression", "math_text": "-5510 + (7930 / (-6265) - (-59138))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5510, \"b\": 7930, \"c\": -6265, \"d\": -59138}", "seed": "8697404182784777587", "semantic_fingerprint": "sha256:a2f0ab6ba1ab89f47074c0c31a294445dc874f27fc9a652b440c1f23161ec613", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002256", "prompt": "Calculate: 7245 / (-6155) * 76385", "solution_steps": ["Divide: 7245 / (-6155) = -1449/1231", "Multiply: (-1449/1231) * 76385 = -110681865/1231"], "final_answer": "-110681865/1231", "answer_type": "rational", "kind": "expression", "math_text": "7245 / (-6155) * 76385", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7245, \"b\": -6155, \"c\": 76385}", "seed": "17750779601970094891", "semantic_fingerprint": "sha256:1a627bc608d20e491d726a10c284f62f60daabf894fa37a70facfae1af8d9c3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002257", "prompt": "Find x: 27(x - 4285) + 24248 = x", "solution_steps": ["Expand: 27x - 115695 + 24248 = x", "Combine constants: 27x - 91447 = x", "Subtract x from both sides: 26x - 91447 = 0", "Add 91447 to both sides: 26x = 91447", "Divide both sides by 26: x = 91447/26"], "final_answer": "91447/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 4285) + 24248 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 4285, \"c\": 24248}", "seed": "6257873654226009119", "semantic_fingerprint": "sha256:325c3d9eef72cd39e851598d312ef61c1a1cf25f00ff28a5966f9b91bd4cfdcc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002258", "prompt": "Solve the equation 20(x - 81740) - 62307 = -9025 for x.", "solution_steps": ["Expand: 20x - 1634800 - 62307 = -9025", "Combine constants: 20x - 1697107 = -9025", "Add 1697107 to both sides: 20x = 1688082", "Divide both sides by 20: x = 844041/10"], "final_answer": "844041/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 81740) - 62307 = -9025", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 81740, \"c\": 62307, \"d\": -9025}", "seed": "2285890312113255801", "semantic_fingerprint": "sha256:4770e89646951119b6bd79d9cd5ad32afed7b6fcb0191d82b3a5cf31b2ff9f85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002259", "prompt": "Find x: x + 3891 = 20(x - 3037) + 65638", "solution_steps": ["Expand: x + 3891 = 20x - 60740 + 65638", "Combine constants: x + 3891 = 20x + 4898", "Subtract 20x from both sides: -19x + 3891 = 4898", "Subtract 3891 from both sides: -19x = 1007", "Divide both sides by -19: x = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3891 = 20(x - 3037) + 65638", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3891, \"b\": 20, \"c\": 3037, \"e\": 65638, \"x\": -53}", "seed": "10290194368631478005", "semantic_fingerprint": "sha256:6bcebac86a90c82cf28c3135e124f875b341a52d9619fdcc8f6c9d265c830e17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002260", "prompt": "Evaluate: -46829 - 76410 / 6094", "solution_steps": ["Divide: 76410 / 6094 = 38205/3047", "Subtract: -46829 - 38205/3047 = -142726168/3047"], "final_answer": "-142726168/3047", "answer_type": "rational", "kind": "expression", "math_text": "-46829 - 76410 / 6094", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46829, \"b\": 76410, \"c\": 6094}", "seed": "16169401720326817431", "semantic_fingerprint": "sha256:9dfb880253fd2a928ffb053b9eb21359b11d30492e08250d95fc1c806b9a34ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002261", "prompt": "Calculate: 59800 - 8795 - (-9724)", "solution_steps": ["Subtract: 59800 - 8795 = 51005", "Subtract: 51005 - (-9724) = 60729"], "final_answer": "60729", "answer_type": "integer", "kind": "expression", "math_text": "59800 - 8795 - (-9724)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59800, \"b\": 8795, \"c\": -9724}", "seed": "7870697755238040146", "semantic_fingerprint": "sha256:4fc07a5d1837e07e579e8c7426d3a498cc808e82fd263d1ec5a2c16e06a84bc1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002262", "prompt": "Find x: 33(x - 6048) = 36(x + 7138) - 9962", "solution_steps": ["Expand: 33x - 199584 = 36(x + 7138) - 9962", "Expand: 33x - 199584 = 36x + 256968 - 9962", "Combine constants: 33x - 199584 = 36x + 247006", "Subtract 36x from both sides: -3x - 199584 = 247006", "Add 199584 to both sides: -3x = 446590", "Divide both sides by -3: x = -446590/3"], "final_answer": "-446590/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 6048) = 36(x + 7138) - 9962", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 6048, \"c\": 36, \"d\": 7138, \"e\": 9962}", "seed": "9135985128589666911", "semantic_fingerprint": "sha256:2eb4f73112d9243b0499873788e329a4a0c1f9a15827168bb13b97ae0fef4347", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002263", "prompt": "Evaluate: 1385 - 97836 * (-8388)", "solution_steps": ["Multiply: 97836 * (-8388) = -820648368", "Subtract: 1385 - (-820648368) = 820649753"], "final_answer": "820649753", "answer_type": "integer", "kind": "expression", "math_text": "1385 - 97836 * (-8388)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1385, \"b\": 97836, \"c\": -8388}", "seed": "10630514646238498252", "semantic_fingerprint": "sha256:45d3c74f9ca4ca0aeab0ed701cd3be9743798a25604f7c277d44657a3e550a36", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002264", "prompt": "What is 6362 - 5072 * (-8126)?", "solution_steps": ["Multiply: 5072 * (-8126) = -41215072", "Subtract: 6362 - (-41215072) = 41221434"], "final_answer": "41221434", "answer_type": "integer", "kind": "expression", "math_text": "6362 - 5072 * (-8126)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6362, \"b\": 5072, \"c\": -8126}", "seed": "850915436186962859", "semantic_fingerprint": "sha256:758367e32c02f6f50e0a20132499637cd09839ed01b8f2e3ecf8a2ce5d4feec1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002265", "prompt": "Calculate: -35861 * 33678", "solution_steps": ["Multiply: -35861 * 33678 = -1207726758"], "final_answer": "-1207726758", "answer_type": "integer", "kind": "expression", "math_text": "-35861 * 33678", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -35861, \"b\": 33678}", "seed": "3367826427869624602", "semantic_fingerprint": "sha256:3e484cfff68bd2a9b82da8d8d23f11ead2aa01ba0bf14bcaf628112b1de7dba6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002266", "prompt": "Solve the equation 35x = -33x for x.", "solution_steps": ["Add 33x to both sides: 68x = 0", "Divide both sides by 68: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x = -33x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": -33}", "seed": "16372876966163963263", "semantic_fingerprint": "sha256:de5c8d30491b5c4be9bba40607ebbbbf1ec66fc63cfbdfa4c1d640ed9854f7e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002267", "prompt": "Compute: 1270 * (2870 - 7201 + 6458 / (-10878))", "solution_steps": ["Subtract: 2870 - 7201 = -4331", "Divide: 6458 / (-10878) = -3229/5439", "Add: -4331 + (-3229/5439) = -23559538/5439", "Multiply: 1270 * (-23559538/5439) = -29920613260/5439"], "final_answer": "-29920613260/5439", "answer_type": "rational", "kind": "expression", "math_text": "1270 * (2870 - 7201 + 6458 / (-10878))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1270, \"b\": 2870, \"c\": 7201, \"d\": 6458, \"e\": -10878}", "seed": "3206509562033997483", "semantic_fingerprint": "sha256:5830ab639e83e0c999f6dba12e42ee7aa308f5f69029080ec14d45ca047ff1a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002268", "prompt": "Evaluate: -15124 - (8058 + (-97389)) * (3895 / (-99498))", "solution_steps": ["Add: 8058 + (-97389) = -89331", "Divide: 3895 / (-99498) = -3895/99498", "Multiply: -89331 * (-3895/99498) = 115981415/33166", "Subtract: -15124 - 115981415/33166 = -617583999/33166"], "final_answer": "-617583999/33166", "answer_type": "rational", "kind": "expression", "math_text": "-15124 - (8058 + (-97389)) * (3895 / (-99498))", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15124, \"b\": 8058, \"c\": -97389, \"d\": 3895, \"e\": -99498}", "seed": "16554718983456634342", "semantic_fingerprint": "sha256:6c158aeccfe11dcb221e8fbe1615d195a058dd1c4588efbad7330a2d24ae0b03", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002269", "prompt": "Calculate: 3965 * (17966 / (-28218))", "solution_steps": ["Divide: 17966 / (-28218) = -8983/14109", "Multiply: 3965 * (-8983/14109) = -35617595/14109"], "final_answer": "-35617595/14109", "answer_type": "rational", "kind": "expression", "math_text": "3965 * (17966 / (-28218))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3965, \"b\": 17966, \"c\": -28218}", "seed": "9108015827827978714", "semantic_fingerprint": "sha256:17fffca0c2208238379323235a21fd3389ea632e00c54bfdb1807b5853b853ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002270", "prompt": "Solve for x: 38(x - 7271) + 5749 = -14(x - 1958) - 98693", "solution_steps": ["Expand: 38x - 276298 + 5749 = -14(x - 1958) - 98693", "Expand: 38x - 276298 + 5749 = -14x + 27412 - 98693", "Combine constants: 38x - 270549 = -14x + 27412 - 98693", "Combine constants: 38x - 270549 = -14x - 71281", "Add 14x to both sides: 52x - 270549 = -71281", "Add 270549 to both sides: 52x = 199268", "Divide both sides by 52: x = 49817/13"], "final_answer": "49817/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 7271) + 5749 = -14(x - 1958) - 98693", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 7271, \"c\": 5749, \"d\": -14, \"e\": 1958, \"f\": 98693}", "seed": "5224562027747404473", "semantic_fingerprint": "sha256:daaee4ada7e4372970f051eb3cf780145d37ca1526a8daa75ac000ae809a16ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002271", "prompt": "Calculate: (-1636 * 3870 - 4057) * (3487 / (-9096))", "solution_steps": ["Multiply: -1636 * 3870 = -6331320", "Subtract: -6331320 - 4057 = -6335377", "Divide: 3487 / (-9096) = -3487/9096", "Multiply: -6335377 * (-3487/9096) = 22091459599/9096"], "final_answer": "22091459599/9096", "answer_type": "rational", "kind": "expression", "math_text": "(-1636 * 3870 - 4057) * (3487 / (-9096))", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1636, \"b\": 3870, \"c\": 4057, \"d\": 3487, \"e\": -9096}", "seed": "7323197307515564282", "semantic_fingerprint": "sha256:e1a3446fe0272e15c6abd00b876ecfc73740fc7a3652270ec78cf45072a39097", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002272", "prompt": "Solve the equation 27x = x - 77398 for x.", "solution_steps": ["Subtract x from both sides: 26x = -77398", "Divide both sides by 26: x = -38699/13"], "final_answer": "-38699/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x = x - 77398", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 77398}", "seed": "16605518958466832243", "semantic_fingerprint": "sha256:d142a83c22fb9a5581f875e7133c22e788402a8c6184f4b412414daa0d905cf6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002273", "prompt": "Find x: 26x - 15933 = x + 9887", "solution_steps": ["Subtract x from both sides: 25x - 15933 = 9887", "Add 15933 to both sides: 25x = 25820", "Divide both sides by 25: x = 5164/5"], "final_answer": "5164/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x - 15933 = x + 9887", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 15933, \"c\": 9887}", "seed": "6394212825522294350", "semantic_fingerprint": "sha256:a74b21caa653246fbc002940ab7024bff6f7a41decc27e859720932574a0bd98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002274", "prompt": "Calculate: -85442 + 28886 / 87916", "solution_steps": ["Divide: 28886 / 87916 = 14443/43958", "Add: -85442 + 14443/43958 = -3755844993/43958"], "final_answer": "-3755844993/43958", "answer_type": "rational", "kind": "expression", "math_text": "-85442 + 28886 / 87916", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -85442, \"b\": 28886, \"c\": 87916}", "seed": "10164907574690530963", "semantic_fingerprint": "sha256:43bc437593cd6743e13a89eeb3a1082ad11c666dcc07f3c9ce2c211de93a4dd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002275", "prompt": "Calculate: -9660 * (-78241 + 7099) / (79521 + (-1651))", "solution_steps": ["Add: -78241 + 7099 = -71142", "Multiply: -9660 * (-71142) = 687231720", "Add: 79521 + (-1651) = 77870", "Divide: 687231720 / 77870 = 68723172/7787"], "final_answer": "68723172/7787", "answer_type": "rational", "kind": "expression", "math_text": "-9660 * (-78241 + 7099) / (79521 + (-1651))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9660, \"b\": -78241, \"c\": 7099, \"d\": 79521, \"e\": -1651}", "seed": "17368236840772577792", "semantic_fingerprint": "sha256:1015adf066f3affc45ec303dbba99287185eeef343edd4e6f9fcfd7a33e700b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002276", "prompt": "Compute: -1362 * (-94230) - 4023", "solution_steps": ["Multiply: -1362 * (-94230) = 128341260", "Subtract: 128341260 - 4023 = 128337237"], "final_answer": "128337237", "answer_type": "integer", "kind": "expression", "math_text": "-1362 * (-94230) - 4023", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1362, \"b\": -94230, \"c\": 4023}", "seed": "3243023209519994186", "semantic_fingerprint": "sha256:fdaf84acfc09940c6d02f03fe7cdfab338c33dcbd123e4fcf872935c60f62d91", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002277", "prompt": "Evaluate: -44903 / 4525 * (-4753 + (-6390)) + (-96678 + (-9194))", "solution_steps": ["Divide: -44903 / 4525 = -44903/4525", "Add: -4753 + (-6390) = -11143", "Multiply: (-44903/4525) * (-11143) = 500354129/4525", "Add: -96678 + (-9194) = -105872", "Add: 500354129/4525 + (-105872) = 21283329/4525"], "final_answer": "21283329/4525", "answer_type": "rational", "kind": "expression", "math_text": "-44903 / 4525 * (-4753 + (-6390)) + (-96678 + (-9194))", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -44903, \"b\": 4525, \"c\": -4753, \"d\": -6390, \"e\": -96678, \"f\": -9194}", "seed": "8471949767176340702", "semantic_fingerprint": "sha256:fd555e6516e296ec709c755a88c8bb551e046f2a4539092c3991fcbdf45970b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002278", "prompt": "Compute: -80471 / 6818", "solution_steps": ["Divide: -80471 / 6818 = -80471/6818"], "final_answer": "-80471/6818", "answer_type": "rational", "kind": "expression", "math_text": "-80471 / 6818", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -80471, \"b\": 6818}", "seed": "17230418828354237377", "semantic_fingerprint": "sha256:365f4f7b6274041e92f2250b7eb6df266200a612e1fe8ab125e62e6dc481ecf7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002279", "prompt": "Compute: (5322 - 83189) / (-9906 - (-62913))", "solution_steps": ["Subtract: 5322 - 83189 = -77867", "Subtract: -9906 - (-62913) = 53007", "Divide: -77867 / 53007 = -77867/53007"], "final_answer": "-77867/53007", "answer_type": "rational", "kind": "expression", "math_text": "(5322 - 83189) / (-9906 - (-62913))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5322, \"b\": 83189, \"c\": -9906, \"d\": -62913}", "seed": "6385481221756680730", "semantic_fingerprint": "sha256:63285040229456f6ec7e4900800186ff96c5bb8a08df32a6c31d660ec49967a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002280", "prompt": "Evaluate: (9676 - 9375) / 62271", "solution_steps": ["Subtract: 9676 - 9375 = 301", "Divide: 301 / 62271 = 301/62271"], "final_answer": "301/62271", "answer_type": "rational", "kind": "expression", "math_text": "(9676 - 9375) / 62271", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9676, \"b\": 9375, \"c\": 62271}", "seed": "8730696569751929123", "semantic_fingerprint": "sha256:454b9bf33b7851ade4ddbdb178a7d7c4ec69738040df8919b722dfdddda16f0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002281", "prompt": "Calculate: 60604 - 70423", "solution_steps": ["Subtract: 60604 - 70423 = -9819"], "final_answer": "-9819", "answer_type": "integer", "kind": "expression", "math_text": "60604 - 70423", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 60604, \"b\": 70423}", "seed": "6433025838760403935", "semantic_fingerprint": "sha256:3ef50f8882032ead55c6a2a4ab96be6d4b15479b4fb7bf7dfdc1b68095d8e9e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002282", "prompt": "What is -1216 * 5868 * (-4715)?", "solution_steps": ["Multiply: -1216 * 5868 = -7135488", "Multiply: -7135488 * (-4715) = 33643825920"], "final_answer": "33643825920", "answer_type": "integer", "kind": "expression", "math_text": "-1216 * 5868 * (-4715)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1216, \"b\": 5868, \"c\": -4715}", "seed": "18107041227394382685", "semantic_fingerprint": "sha256:e893dc3152a257ae21f38e1bf78a3642d0d4c7f176805e6b9e782accebb2a003", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002283", "prompt": "Calculate: (35213 - 3031) / (-1235 - (-71034)) * (-1591)", "solution_steps": ["Subtract: 35213 - 3031 = 32182", "Subtract: -1235 - (-71034) = 69799", "Divide: 32182 / 69799 = 32182/69799", "Multiply: (32182/69799) * (-1591) = -51201562/69799"], "final_answer": "-51201562/69799", "answer_type": "rational", "kind": "expression", "math_text": "(35213 - 3031) / (-1235 - (-71034)) * (-1591)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35213, \"b\": 3031, \"c\": -1235, \"d\": -71034, \"e\": -1591}", "seed": "15283897143795321592", "semantic_fingerprint": "sha256:20d817a969ee82b5a6c78515ea90d8d0c2213aa50921609e18727b94d939b11f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002284", "prompt": "Find x: 27(x + 5449) - 34116 = 26x + 13329", "solution_steps": ["Expand: 27x + 147123 - 34116 = 26x + 13329", "Combine constants: 27x + 113007 = 26x + 13329", "Subtract 26x from both sides: x + 113007 = 13329", "Subtract 113007 from both sides: x = -99678"], "final_answer": "-99678", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x + 5449) - 34116 = 26x + 13329", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 5449, \"c\": 34116, \"d\": 26, \"e\": 13329}", "seed": "12688457302912045664", "semantic_fingerprint": "sha256:b2f4ab8ef4e3f3c1d3ef47b454286f28630a252becd85e607253100f978e7a89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002285", "prompt": "Compute: -6934 * (-2690) * 8511", "solution_steps": ["Multiply: -6934 * (-2690) = 18652460", "Multiply: 18652460 * 8511 = 158751087060"], "final_answer": "158751087060", "answer_type": "integer", "kind": "expression", "math_text": "-6934 * (-2690) * 8511", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6934, \"b\": -2690, \"c\": 8511}", "seed": "17019862598340776981", "semantic_fingerprint": "sha256:bbe779f98a52b46bd04c10f952130fd56172d8ba5e255967759f79da63db9244", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002286", "prompt": "Compute: 84079 - (-98865)", "solution_steps": ["Subtract: 84079 - (-98865) = 182944"], "final_answer": "182944", "answer_type": "integer", "kind": "expression", "math_text": "84079 - (-98865)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 84079, \"b\": -98865}", "seed": "12305019825138997153", "semantic_fingerprint": "sha256:1777609a11aa67f9210ef5d53cb35e578e3fbf0ddc94619ed71d6692923ffc3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002287", "prompt": "Evaluate: (-27548 + 9190 + (-43847)) / (-57273 - 19615 - (-4455))", "solution_steps": ["Add: -27548 + 9190 = -18358", "Add: -18358 + (-43847) = -62205", "Subtract: -57273 - 19615 = -76888", "Subtract: -76888 - (-4455) = -72433", "Divide: -62205 / (-72433) = 62205/72433"], "final_answer": "62205/72433", "answer_type": "rational", "kind": "expression", "math_text": "(-27548 + 9190 + (-43847)) / (-57273 - 19615 - (-4455))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27548, \"b\": 9190, \"c\": -43847, \"d\": -57273, \"e\": 19615, \"f\": -4455}", "seed": "675936602452777363", "semantic_fingerprint": "sha256:77084da2962ab2c1d2d29a45cbfb0e7199aa3e216df0893a27b8dda890e132c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002288", "prompt": "What is 9489 / (-8208) * (-84186 + (-2189))?", "solution_steps": ["Divide: 9489 / (-8208) = -3163/2736", "Add: -84186 + (-2189) = -86375", "Multiply: (-3163/2736) * (-86375) = 273204125/2736"], "final_answer": "273204125/2736", "answer_type": "rational", "kind": "expression", "math_text": "9489 / (-8208) * (-84186 + (-2189))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9489, \"b\": -8208, \"c\": -84186, \"d\": -2189}", "seed": "16640298058618626976", "semantic_fingerprint": "sha256:ad286df4a0fcc2c950a1e403af8232a33f16778b072229a1822e484bfe30f2ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002289", "prompt": "Evaluate: (4356 + (-1719)) / 9933 + 4968 / 3910", "solution_steps": ["Add: 4356 + (-1719) = 2637", "Divide: 2637 / 9933 = 879/3311", "Divide: 4968 / 3910 = 108/85", "Add: 879/3311 + 108/85 = 432303/281435"], "final_answer": "432303/281435", "answer_type": "rational", "kind": "expression", "math_text": "(4356 + (-1719)) / 9933 + 4968 / 3910", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4356, \"b\": -1719, \"c\": 9933, \"d\": 4968, \"e\": 3910}", "seed": "11690499114552503573", "semantic_fingerprint": "sha256:4b1c4a7582065205a151feaeed32823b2d85fe52454218bf6f2d8d97305adb20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002290", "prompt": "Evaluate: -6247 / (9247 + (-9500 - (-6262)) - (-3575))", "solution_steps": ["Subtract: -9500 - (-6262) = -3238", "Add: 9247 + (-3238) = 6009", "Subtract: 6009 - (-3575) = 9584", "Divide: -6247 / 9584 = -6247/9584"], "final_answer": "-6247/9584", "answer_type": "rational", "kind": "expression", "math_text": "-6247 / (9247 + (-9500 - (-6262)) - (-3575))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6247, \"b\": 9247, \"c\": -9500, \"d\": -6262, \"e\": -3575}", "seed": "8306356028984426685", "semantic_fingerprint": "sha256:e3d57bc71784e270312cc58eab991663808f5e8fdee512789b047f6ed044bd5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002291", "prompt": "Compute: (7472 - 69133 + 4043) / (-90538 + (-6885 + 15512))", "solution_steps": ["Subtract: 7472 - 69133 = -61661", "Add: -61661 + 4043 = -57618", "Add: -6885 + 15512 = 8627", "Add: -90538 + 8627 = -81911", "Divide: -57618 / (-81911) = 57618/81911"], "final_answer": "57618/81911", "answer_type": "rational", "kind": "expression", "math_text": "(7472 - 69133 + 4043) / (-90538 + (-6885 + 15512))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7472, \"b\": 69133, \"c\": 4043, \"d\": -90538, \"e\": -6885, \"f\": 15512}", "seed": "9320672486915513997", "semantic_fingerprint": "sha256:5e7a23d8f62f7fc45815d763e7f643a398414a7693cb5074601b7adf1b602ec4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002292", "prompt": "Calculate: 55433 + (-2529 + (-5517)) * (-2616)", "solution_steps": ["Add: -2529 + (-5517) = -8046", "Multiply: -8046 * (-2616) = 21048336", "Add: 55433 + 21048336 = 21103769"], "final_answer": "21103769", "answer_type": "integer", "kind": "expression", "math_text": "55433 + (-2529 + (-5517)) * (-2616)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 55433, \"b\": -2529, \"c\": -5517, \"d\": -2616}", "seed": "3828085505704978309", "semantic_fingerprint": "sha256:a73deb4bbc5cf84aad1157996879f575f49446c78a08e7f7c2ef932af86a2222", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002293", "prompt": "Solve the equation 27x = x - 3354 for x.", "solution_steps": ["Subtract x from both sides: 26x = -3354", "Divide both sides by 26: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = x - 3354", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"c\": -3354, \"x\": -129}", "seed": "108902998037887386", "semantic_fingerprint": "sha256:022880609484508fd5aedd505bf112bb2f0df1c1f4479b1545b6e96840f8eca6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002294", "prompt": "Compute: -9456 / (1993 + (-89004))", "solution_steps": ["Add: 1993 + (-89004) = -87011", "Divide: -9456 / (-87011) = 9456/87011"], "final_answer": "9456/87011", "answer_type": "rational", "kind": "expression", "math_text": "-9456 / (1993 + (-89004))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9456, \"b\": 1993, \"c\": -89004}", "seed": "9296495799581385876", "semantic_fingerprint": "sha256:ef62bddb6757a7feda5d8126fcd4e2be6034348a172b29ba031a9f6fa0b83429", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002295", "prompt": "What is -8329 * (-8795 / (-2076))?", "solution_steps": ["Divide: -8795 / (-2076) = 8795/2076", "Multiply: -8329 * (8795/2076) = -73253555/2076"], "final_answer": "-73253555/2076", "answer_type": "rational", "kind": "expression", "math_text": "-8329 * (-8795 / (-2076))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8329, \"b\": -8795, \"c\": -2076}", "seed": "1072929280398323593", "semantic_fingerprint": "sha256:5b4e12f3d12834190c2fac1ac187d0fc4a079825361adcd7cd48a2b6436bbf97", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002296", "prompt": "Calculate: 2685 / (-8840) + (22488 - (59560 + (-7974)) + 3107)", "solution_steps": ["Divide: 2685 / (-8840) = -537/1768", "Add: 59560 + (-7974) = 51586", "Subtract: 22488 - 51586 = -29098", "Add: -29098 + 3107 = -25991", "Add: -537/1768 + (-25991) = -45952625/1768"], "final_answer": "-45952625/1768", "answer_type": "rational", "kind": "expression", "math_text": "2685 / (-8840) + (22488 - (59560 + (-7974)) + 3107)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (- n (+ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2685, \"b\": -8840, \"c\": 22488, \"d\": 59560, \"e\": -7974, \"f\": 3107}", "seed": "9682057235052168746", "semantic_fingerprint": "sha256:2857966797dc9d16b34f02da6ea9eb6b4dca1e8c8437db98691b56d22bd4a0c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002297", "prompt": "What is 92502 + 89271?", "solution_steps": ["Add: 92502 + 89271 = 181773"], "final_answer": "181773", "answer_type": "integer", "kind": "expression", "math_text": "92502 + 89271", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 92502, \"b\": 89271}", "seed": "16387281850595718355", "semantic_fingerprint": "sha256:ba60cc7d4ed1c3864de6a77ce90fc1630ee7fa318790f7aacc89f44945d7a8a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002298", "prompt": "Calculate: -7777 - 6116", "solution_steps": ["Subtract: -7777 - 6116 = -13893"], "final_answer": "-13893", "answer_type": "integer", "kind": "expression", "math_text": "-7777 - 6116", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7777, \"b\": 6116}", "seed": "13310040928463828806", "semantic_fingerprint": "sha256:0860b49d577cc44c0f9a5b302629da26f02e4af0adafa125c18f0629bd940702", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002299", "prompt": "What is -2190 * (-7831 + (-3130))?", "solution_steps": ["Add: -7831 + (-3130) = -10961", "Multiply: -2190 * (-10961) = 24004590"], "final_answer": "24004590", "answer_type": "integer", "kind": "expression", "math_text": "-2190 * (-7831 + (-3130))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2190, \"b\": -7831, \"c\": -3130}", "seed": "6897788154868202491", "semantic_fingerprint": "sha256:2cf4cb5aa7465a35df64af65dc1760a42fbe81f41f74029467f7503ba6125a67", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002300", "prompt": "Find x: x + 94721 = 20(x + 85237)", "solution_steps": ["Expand: x + 94721 = 20x + 1704740", "Subtract 20x from both sides: -19x + 94721 = 1704740", "Subtract 94721 from both sides: -19x = 1610019", "Divide both sides by -19: x = -1610019/19"], "final_answer": "-1610019/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 94721 = 20(x + 85237)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 94721, \"b\": 20, \"c\": 85237}", "seed": "14501135966640012507", "semantic_fingerprint": "sha256:1653eb69ab9de1ccc45f7a20f94cfc981d9bd189ad354a5f5502a84d5ed2779c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002301", "prompt": "What is -2353 + (-1291 + (-2283) + (-7483 - (-24891 + (-67632))))?", "solution_steps": ["Add: -1291 + (-2283) = -3574", "Add: -24891 + (-67632) = -92523", "Subtract: -7483 - (-92523) = 85040", "Add: -3574 + 85040 = 81466", "Add: -2353 + 81466 = 79113"], "final_answer": "79113", "answer_type": "integer", "kind": "expression", "math_text": "-2353 + (-1291 + (-2283) + (-7483 - (-24891 + (-67632))))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ n n) (- n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2353, \"b\": -1291, \"c\": -2283, \"d\": -7483, \"e\": -24891, \"f\": -67632}", "seed": "14293327877239715633", "semantic_fingerprint": "sha256:7c14a5c600ae35f744d235c1bae4ed73e165ac80a57bea4cac43c5d864f5b735", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002302", "prompt": "Solve for x: -32x = x + 58323", "solution_steps": ["Subtract x from both sides: -33x = 58323", "Divide both sides by -33: x = -19441/11"], "final_answer": "-19441/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x = x + 58323", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 58323}", "seed": "2946538282648226802", "semantic_fingerprint": "sha256:842e9a72c091b0e2d086417b45b925e94fe6028cd4ddd5477b5bc20137e11eae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002303", "prompt": "What value of x satisfies 27x = 29(x - 49717) + 42715?", "solution_steps": ["Expand: 27x = 29x - 1441793 + 42715", "Combine constants: 27x = 29x - 1399078", "Subtract 29x from both sides: -2x = -1399078", "Divide both sides by -2: x = 699539"], "final_answer": "699539", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = 29(x - 49717) + 42715", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 29, \"c\": 49717, \"d\": 42715}", "seed": "17832522722984032338", "semantic_fingerprint": "sha256:123823d1cbc6c88f72ffcca3087be702e023b0ae68bc4e60ca3a5f8cb7f5a311", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002304", "prompt": "Solve the equation 24x = x for x.", "solution_steps": ["Subtract x from both sides: 23x = 0", "Divide both sides by 23: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24}", "seed": "13183874209392368798", "semantic_fingerprint": "sha256:5b63f3ffc98257e7455dd806f50297c779793b07c6f22c37176f6f77cda4945b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002305", "prompt": "Calculate: 7603 / (-88070)", "solution_steps": ["Divide: 7603 / (-88070) = -7603/88070"], "final_answer": "-7603/88070", "answer_type": "rational", "kind": "expression", "math_text": "7603 / (-88070)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7603, \"b\": -88070}", "seed": "15664366921889734873", "semantic_fingerprint": "sha256:54fd1a42ed64fdaf88cc3621df10563aa8543416b302000e7e7182f6cd24741d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002306", "prompt": "Compute: 78422 * 34848", "solution_steps": ["Multiply: 78422 * 34848 = 2732849856"], "final_answer": "2732849856", "answer_type": "integer", "kind": "expression", "math_text": "78422 * 34848", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 78422, \"b\": 34848}", "seed": "7503646281489838015", "semantic_fingerprint": "sha256:aaa613c02adef971e1310bf9f359de63885b25925048d767c07cbd2388c6665c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002307", "prompt": "Calculate: -6842 * (-6920)", "solution_steps": ["Multiply: -6842 * (-6920) = 47346640"], "final_answer": "47346640", "answer_type": "integer", "kind": "expression", "math_text": "-6842 * (-6920)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6842, \"b\": -6920}", "seed": "16399147935556688511", "semantic_fingerprint": "sha256:9ba11d2bc9600f429ce469912b941877fac70f14078f207f8fa32e87176b2bbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002308", "prompt": "What is 2561 * 61821?", "solution_steps": ["Multiply: 2561 * 61821 = 158323581"], "final_answer": "158323581", "answer_type": "integer", "kind": "expression", "math_text": "2561 * 61821", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2561, \"b\": 61821}", "seed": "11798423863668516083", "semantic_fingerprint": "sha256:b1707e99e4073d67300297ade3801d3a0f27ea6b7f0dcd19346e2fbf4c35e4b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002309", "prompt": "Solve the equation 35x + 9120 = 17(x + 5974) - 17830 for x.", "solution_steps": ["Expand: 35x + 9120 = 17x + 101558 - 17830", "Combine constants: 35x + 9120 = 17x + 83728", "Subtract 17x from both sides: 18x + 9120 = 83728", "Subtract 9120 from both sides: 18x = 74608", "Divide both sides by 18: x = 37304/9"], "final_answer": "37304/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x + 9120 = 17(x + 5974) - 17830", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 9120, \"c\": 17, \"d\": 5974, \"e\": 17830}", "seed": "17608549086760147234", "semantic_fingerprint": "sha256:4b43a2b5ff2ba30947a26b2540bfed4579dc69165de0787dc9e532d6d8558fcc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002310", "prompt": "Evaluate: 1383 * (-22012 + 59216)", "solution_steps": ["Add: -22012 + 59216 = 37204", "Multiply: 1383 * 37204 = 51453132"], "final_answer": "51453132", "answer_type": "integer", "kind": "expression", "math_text": "1383 * (-22012 + 59216)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1383, \"b\": -22012, \"c\": 59216}", "seed": "2749483315709588116", "semantic_fingerprint": "sha256:101ed150101482d404830d53f66bc5c4b49f8474441510424a4f24e64445840c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002311", "prompt": "Calculate: -44149 - 8213", "solution_steps": ["Subtract: -44149 - 8213 = -52362"], "final_answer": "-52362", "answer_type": "integer", "kind": "expression", "math_text": "-44149 - 8213", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -44149, \"b\": 8213}", "seed": "5184555956746705372", "semantic_fingerprint": "sha256:f64dc46fc0f537af0a9cd8995f52776e9b3308d16d796469f9f98a8611b25fa3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002312", "prompt": "Evaluate: (51237 - 7488) * (4797 - (7759 - (-66468)))", "solution_steps": ["Subtract: 51237 - 7488 = 43749", "Subtract: 7759 - (-66468) = 74227", "Subtract: 4797 - 74227 = -69430", "Multiply: 43749 * (-69430) = -3037493070"], "final_answer": "-3037493070", "answer_type": "integer", "kind": "expression", "math_text": "(51237 - 7488) * (4797 - (7759 - (-66468)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 51237, \"b\": 7488, \"c\": 4797, \"d\": 7759, \"e\": -66468}", "seed": "17178982151035328045", "semantic_fingerprint": "sha256:6075784fee23957095d8060558b1bffacc62d5552dc1f0c11a35b7599e1dea0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002313", "prompt": "Evaluate: (55989 + 5010) / (-75561 + (-7147) + 5243)", "solution_steps": ["Add: 55989 + 5010 = 60999", "Add: -75561 + (-7147) = -82708", "Add: -82708 + 5243 = -77465", "Divide: 60999 / (-77465) = -60999/77465"], "final_answer": "-60999/77465", "answer_type": "rational", "kind": "expression", "math_text": "(55989 + 5010) / (-75561 + (-7147) + 5243)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 55989, \"b\": 5010, \"c\": -75561, \"d\": -7147, \"e\": 5243}", "seed": "11815429294826799100", "semantic_fingerprint": "sha256:2fae2b937bf24bc1bad378326d328939708ee5f85cb41277fbafd97989b55700", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002314", "prompt": "What is (-79742 - 2160) * (-3037)?", "solution_steps": ["Subtract: -79742 - 2160 = -81902", "Multiply: -81902 * (-3037) = 248736374"], "final_answer": "248736374", "answer_type": "integer", "kind": "expression", "math_text": "(-79742 - 2160) * (-3037)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79742, \"b\": 2160, \"c\": -3037}", "seed": "9617446219360100136", "semantic_fingerprint": "sha256:af54015ba0180787ea1508e51920d93d7c4693813dc8b99d485641b1b448a6bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002315", "prompt": "Evaluate: -62937 - (-7626) + (-78320 - 6328)", "solution_steps": ["Subtract: -62937 - (-7626) = -55311", "Subtract: -78320 - 6328 = -84648", "Add: -55311 + (-84648) = -139959"], "final_answer": "-139959", "answer_type": "integer", "kind": "expression", "math_text": "-62937 - (-7626) + (-78320 - 6328)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62937, \"b\": -7626, \"c\": -78320, \"d\": 6328}", "seed": "12189037758146339404", "semantic_fingerprint": "sha256:4cdb78ba664b206e28bd13d3d4a6a1dadbd4629e3b960d93994f8d64e18af6aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002316", "prompt": "Compute: 67778 + (-8825)", "solution_steps": ["Add: 67778 + (-8825) = 58953"], "final_answer": "58953", "answer_type": "integer", "kind": "expression", "math_text": "67778 + (-8825)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 67778, \"b\": -8825}", "seed": "4053916699361227425", "semantic_fingerprint": "sha256:089cdfaf9b68460ddd665a06ad2630a0cbd9dc1e81b3eeb443045d0ea09c1bef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002317", "prompt": "Evaluate: (-97808 + (-62399)) * (-92365) / 65621", "solution_steps": ["Add: -97808 + (-62399) = -160207", "Multiply: -160207 * (-92365) = 14797519555", "Divide: 14797519555 / 65621 = 14797519555/65621"], "final_answer": "14797519555/65621", "answer_type": "rational", "kind": "expression", "math_text": "(-97808 + (-62399)) * (-92365) / 65621", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -97808, \"b\": -62399, \"c\": -92365, \"d\": 65621}", "seed": "6289327257257892537", "semantic_fingerprint": "sha256:9b590b2f66d770e499c4587e601a51af8fb80dfb86e4ae095f5a54e717b55076", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002318", "prompt": "Evaluate: 84516 * (-38268)", "solution_steps": ["Multiply: 84516 * (-38268) = -3234258288"], "final_answer": "-3234258288", "answer_type": "integer", "kind": "expression", "math_text": "84516 * (-38268)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 84516, \"b\": -38268}", "seed": "14446780629068714159", "semantic_fingerprint": "sha256:e91ddc8de6500b4a2a7e4d1a2e819963a247d67f1549ebbe83d58b42a3a9976f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002319", "prompt": "Solve the equation x + 8721 = 8889 for x.", "solution_steps": ["Subtract 8721 from both sides: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8721 = 8889", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8721, \"c\": 8889, \"x\": 168}", "seed": "178641971153991579", "semantic_fingerprint": "sha256:83cf12fecdb242dcfb3ce6e1de2f7eb2df4b99cbbefb85bb17b8c2ad9e435191", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002320", "prompt": "Solve the equation 20x = 28x for x.", "solution_steps": ["Subtract 28x from both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = 28x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 28}", "seed": "8786973148007764208", "semantic_fingerprint": "sha256:16458625bd7e153aa8694dc818ec343d3c101cd1214dd9c7b72ba09a8c0edb4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002321", "prompt": "Solve for x: x + 4074 = 28x - 27244", "solution_steps": ["Subtract 28x from both sides: -27x + 4074 = -27244", "Subtract 4074 from both sides: -27x = -31318", "Divide both sides by -27: x = 31318/27"], "final_answer": "31318/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4074 = 28x - 27244", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4074, \"b\": 28, \"c\": 27244}", "seed": "5847059688998209270", "semantic_fingerprint": "sha256:de8a101f89d6f9b4a54066bb8a86bc3fd372706b4480db029d2dde1c77d30583", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002322", "prompt": "Calculate: (3271 - (-60573)) * 1668", "solution_steps": ["Subtract: 3271 - (-60573) = 63844", "Multiply: 63844 * 1668 = 106491792"], "final_answer": "106491792", "answer_type": "integer", "kind": "expression", "math_text": "(3271 - (-60573)) * 1668", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3271, \"b\": -60573, \"c\": 1668}", "seed": "1546879929397097671", "semantic_fingerprint": "sha256:6108886671a15d4ccde9152090c7c59c2d69bc7bad3d53274b7326a4f5dffaf1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002323", "prompt": "What value of x satisfies -14(x + 34247) = 22(x + 7141)?", "solution_steps": ["Expand: -14x - 479458 = 22(x + 7141)", "Expand: -14x - 479458 = 22x + 157102", "Subtract 22x from both sides: -36x - 479458 = 157102", "Add 479458 to both sides: -36x = 636560", "Divide both sides by -36: x = -159140/9"], "final_answer": "-159140/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 34247) = 22(x + 7141)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 34247, \"c\": 22, \"d\": 7141}", "seed": "10300632176173967513", "semantic_fingerprint": "sha256:e7ec074d69d89c5367bd50ce409422c4be114298660258c767f277b03ad1d7ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002324", "prompt": "Calculate: 9512 * (4041 + (-28466 + 8655))", "solution_steps": ["Add: -28466 + 8655 = -19811", "Add: 4041 + (-19811) = -15770", "Multiply: 9512 * (-15770) = -150004240"], "final_answer": "-150004240", "answer_type": "integer", "kind": "expression", "math_text": "9512 * (4041 + (-28466 + 8655))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9512, \"b\": 4041, \"c\": -28466, \"d\": 8655}", "seed": "10562574010613842815", "semantic_fingerprint": "sha256:ea10230685eb73fbe3baeeefc7a28ef942719459f536fab864fbbe1deee7739d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002325", "prompt": "What value of x satisfies x + 83294 = 15x - 3913?", "solution_steps": ["Subtract 15x from both sides: -14x + 83294 = -3913", "Subtract 83294 from both sides: -14x = -87207", "Divide both sides by -14: x = 87207/14"], "final_answer": "87207/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 83294 = 15x - 3913", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 83294, \"b\": 15, \"c\": 3913}", "seed": "2529856788197795533", "semantic_fingerprint": "sha256:bc3215580701a470d3e883ee4551ed102984964fe2ae76f13351aaa562c1b1a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002326", "prompt": "Evaluate: 5047 + (-5169)", "solution_steps": ["Add: 5047 + (-5169) = -122"], "final_answer": "-122", "answer_type": "integer", "kind": "expression", "math_text": "5047 + (-5169)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5047, \"b\": -5169}", "seed": "12603676226843423671", "semantic_fingerprint": "sha256:36e696ff60f8368a79b11ba2b3aee6e191232be3e7f59199a869a214ffbce49f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002327", "prompt": "What is -7824 / 14135?", "solution_steps": ["Divide: -7824 / 14135 = -7824/14135"], "final_answer": "-7824/14135", "answer_type": "rational", "kind": "expression", "math_text": "-7824 / 14135", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7824, \"b\": 14135}", "seed": "12285135807857240681", "semantic_fingerprint": "sha256:e6ef110c9187985c71cf7bbfc0bbb1252bc1cc1435813fda714eaebaf9de46b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002328", "prompt": "Find x: 27x + 82251 = 85788", "solution_steps": ["Subtract 82251 from both sides: 27x = 3537", "Divide both sides by 27: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x + 82251 = 85788", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 82251, \"d\": 85788, \"x\": 131}", "seed": "7054705703018278643", "semantic_fingerprint": "sha256:ac624fe0201d07a5f81ff98f6783b35dd9bc05b4b5f498ccd5578164e8d6c3e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002329", "prompt": "Solve the equation x + 5885 = 5965 for x.", "solution_steps": ["Subtract 5885 from both sides: x = 80"], "final_answer": "80", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5885 = 5965", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5885, \"c\": 5965, \"x\": 80}", "seed": "10083513112449858845", "semantic_fingerprint": "sha256:0b0c85d68417e21189bf398b67afbab1f38e4724cb38493df8b2ff7c8eabfabb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002330", "prompt": "Evaluate: 86154 / (71404 - 5266)", "solution_steps": ["Subtract: 71404 - 5266 = 66138", "Divide: 86154 / 66138 = 14359/11023"], "final_answer": "14359/11023", "answer_type": "rational", "kind": "expression", "math_text": "86154 / (71404 - 5266)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 86154, \"b\": 71404, \"c\": 5266}", "seed": "14903430762969572269", "semantic_fingerprint": "sha256:15a3cd45371dcef447f0d2bc15603f32f335bc6c7e999a7411eb33d2ab998709", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002331", "prompt": "What value of x satisfies -25x + 4675 = 29(x + 9507) + 1902?", "solution_steps": ["Expand: -25x + 4675 = 29x + 275703 + 1902", "Combine constants: -25x + 4675 = 29x + 277605", "Subtract 29x from both sides: -54x + 4675 = 277605", "Subtract 4675 from both sides: -54x = 272930", "Divide both sides by -54: x = -136465/27"], "final_answer": "-136465/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25x + 4675 = 29(x + 9507) + 1902", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 4675, \"c\": 29, \"d\": 9507, \"e\": 1902}", "seed": "1747057861076978056", "semantic_fingerprint": "sha256:5b23bb5bad9895e6c9932b258400dc2fb012c6fe22617fbff0da7926382d479a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002332", "prompt": "What value of x satisfies x = -28(x + 4625)?", "solution_steps": ["Expand: x = -28x - 129500", "Add 28x to both sides: 29x = -129500", "Divide both sides by 29: x = -129500/29"], "final_answer": "-129500/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -28(x + 4625)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 4625}", "seed": "11971373732353042743", "semantic_fingerprint": "sha256:c077b2f9465bb7bd9f8ba9b5ee67429081439f02a908147b36e6039df5911061", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002333", "prompt": "What value of x satisfies 30(x - 38270) - 1498 = x?", "solution_steps": ["Expand: 30x - 1148100 - 1498 = x", "Combine constants: 30x - 1149598 = x", "Subtract x from both sides: 29x - 1149598 = 0", "Add 1149598 to both sides: 29x = 1149598", "Divide both sides by 29: x = 1149598/29"], "final_answer": "1149598/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 38270) - 1498 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 38270, \"c\": 1498}", "seed": "5522438652209274822", "semantic_fingerprint": "sha256:88427edc93451e54c0eb72d7cc690bd120a1658a783d170e60390276a25ed33f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002334", "prompt": "Find x: 23(x + 2206) = 76619", "solution_steps": ["Expand: 23x + 50738 = 76619", "Subtract 50738 from both sides: 23x = 25881", "Divide both sides by 23: x = 25881/23"], "final_answer": "25881/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 2206) = 76619", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 2206, \"c\": 76619}", "seed": "12495299837749141653", "semantic_fingerprint": "sha256:b5de0f1c50902ab9e363d231220c7978268ab732f03765766ed53f4eb77f5e2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002335", "prompt": "Compute: 24284 / (-9825)", "solution_steps": ["Divide: 24284 / (-9825) = -24284/9825"], "final_answer": "-24284/9825", "answer_type": "rational", "kind": "expression", "math_text": "24284 / (-9825)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24284, \"b\": -9825}", "seed": "13888070353381971208", "semantic_fingerprint": "sha256:02c58849a0048c07a042f40f77fef216f332a8ddee90b6f690f531d10ce8f57d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002336", "prompt": "Evaluate: -51769 / (-7342 + 6847)", "solution_steps": ["Add: -7342 + 6847 = -495", "Divide: -51769 / (-495) = 51769/495"], "final_answer": "51769/495", "answer_type": "rational", "kind": "expression", "math_text": "-51769 / (-7342 + 6847)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -51769, \"b\": -7342, \"c\": 6847}", "seed": "16322301638631419528", "semantic_fingerprint": "sha256:3acad4c7ae04be2d76f465c795f429ba9e3a4ca6a2c7cc0ca9c9137b81986720", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002337", "prompt": "Evaluate: -9794 * 38185", "solution_steps": ["Multiply: -9794 * 38185 = -373983890"], "final_answer": "-373983890", "answer_type": "integer", "kind": "expression", "math_text": "-9794 * 38185", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9794, \"b\": 38185}", "seed": "8094962684446982741", "semantic_fingerprint": "sha256:ee2d01c65e429462c27a18018072d8890237360c5d5a04a5cff6f602e6854056", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002338", "prompt": "What is -97544 / 6424?", "solution_steps": ["Divide: -97544 / 6424 = -12193/803"], "final_answer": "-12193/803", "answer_type": "rational", "kind": "expression", "math_text": "-97544 / 6424", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97544, \"b\": 6424}", "seed": "2028147522180769774", "semantic_fingerprint": "sha256:ba2f8fe9cc62368d58cc420886caa4ad5016167783da5a4dc983e35404a20a44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002339", "prompt": "Evaluate: -1751 - 1935 + (-7316)", "solution_steps": ["Subtract: -1751 - 1935 = -3686", "Add: -3686 + (-7316) = -11002"], "final_answer": "-11002", "answer_type": "integer", "kind": "expression", "math_text": "-1751 - 1935 + (-7316)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1751, \"b\": 1935, \"c\": -7316}", "seed": "2815323857101289950", "semantic_fingerprint": "sha256:59934b1b9d45ad5277ed09a94212a334cb31aff9426ce73a3342bde83b6c2164", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002340", "prompt": "Calculate: (-7432 + (-90836)) / 81513", "solution_steps": ["Add: -7432 + (-90836) = -98268", "Divide: -98268 / 81513 = -32756/27171"], "final_answer": "-32756/27171", "answer_type": "rational", "kind": "expression", "math_text": "(-7432 + (-90836)) / 81513", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7432, \"b\": -90836, \"c\": 81513}", "seed": "6790683774778200312", "semantic_fingerprint": "sha256:7e23b361e7e92190dc5d01686941cd9dcc355c7814945d8f30f2cc24a3a25d32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002341", "prompt": "Calculate: -16447 * (-2756 * 2270)", "solution_steps": ["Multiply: -2756 * 2270 = -6256120", "Multiply: -16447 * (-6256120) = 102894405640"], "final_answer": "102894405640", "answer_type": "integer", "kind": "expression", "math_text": "-16447 * (-2756 * 2270)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16447, \"b\": -2756, \"c\": 2270}", "seed": "9802339864819860386", "semantic_fingerprint": "sha256:c138d8dac7d420f3b7fdb243935aa23980a71c75756d792ed84c2fd0765f6ede", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002342", "prompt": "What is -47227 * (7550 + 9676) / (-82678)?", "solution_steps": ["Add: 7550 + 9676 = 17226", "Multiply: -47227 * 17226 = -813532302", "Divide: -813532302 / (-82678) = 406766151/41339"], "final_answer": "406766151/41339", "answer_type": "rational", "kind": "expression", "math_text": "-47227 * (7550 + 9676) / (-82678)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -47227, \"b\": 7550, \"c\": 9676, \"d\": -82678}", "seed": "13317521392100672088", "semantic_fingerprint": "sha256:dd0196bb73bf6a33b51fd28f0fa2fe60fb01ab98b4e8906cb8b4463974cdcaea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002343", "prompt": "Evaluate: -6293 / 6786 * ((1681 - 9454) * 5728)", "solution_steps": ["Divide: -6293 / 6786 = -217/234", "Subtract: 1681 - 9454 = -7773", "Multiply: -7773 * 5728 = -44523744", "Multiply: (-217/234) * (-44523744) = 1610275408/39"], "final_answer": "1610275408/39", "answer_type": "rational", "kind": "expression", "math_text": "-6293 / 6786 * ((1681 - 9454) * 5728)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6293, \"b\": 6786, \"c\": 1681, \"d\": 9454, \"e\": 5728}", "seed": "18030479566898062928", "semantic_fingerprint": "sha256:1cda6d2665bb06367d8f76c3e3afc0027e93a3846cd8d72fff7ee5322a4510a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002344", "prompt": "Compute: (-5098 + (-7424)) * 21451 / (68560 - 24090)", "solution_steps": ["Add: -5098 + (-7424) = -12522", "Multiply: -12522 * 21451 = -268609422", "Subtract: 68560 - 24090 = 44470", "Divide: -268609422 / 44470 = -134304711/22235"], "final_answer": "-134304711/22235", "answer_type": "rational", "kind": "expression", "math_text": "(-5098 + (-7424)) * 21451 / (68560 - 24090)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5098, \"b\": -7424, \"c\": 21451, \"d\": 68560, \"e\": 24090}", "seed": "2095541269930909585", "semantic_fingerprint": "sha256:2665e63265adc9feac8d25e905f52c0f4279b4253aeddbeea68a431f2e144811", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002345", "prompt": "What is (-7723 + (-2126)) / (-5166)?", "solution_steps": ["Add: -7723 + (-2126) = -9849", "Divide: -9849 / (-5166) = 469/246"], "final_answer": "469/246", "answer_type": "rational", "kind": "expression", "math_text": "(-7723 + (-2126)) / (-5166)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7723, \"b\": -2126, \"c\": -5166}", "seed": "10205306004222616116", "semantic_fingerprint": "sha256:9bf293bc40b547095285d897a1162f9a2652d56d35e0d226fcfdff757624f66d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002346", "prompt": "Evaluate: 9815 - (-83028)", "solution_steps": ["Subtract: 9815 - (-83028) = 92843"], "final_answer": "92843", "answer_type": "integer", "kind": "expression", "math_text": "9815 - (-83028)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9815, \"b\": -83028}", "seed": "14971189860671048734", "semantic_fingerprint": "sha256:2b0135b722006a3c71bd9a1221bb33f0a4660b0873c3d0944eed7656c20f5c05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002347", "prompt": "What is 98124 - (-9955)?", "solution_steps": ["Subtract: 98124 - (-9955) = 108079"], "final_answer": "108079", "answer_type": "integer", "kind": "expression", "math_text": "98124 - (-9955)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 98124, \"b\": -9955}", "seed": "1224106258560581892", "semantic_fingerprint": "sha256:ffe3ebf9165f2641d6f5e0ac32ba51ca47797fa7b3d04891318ecccfb56f0e6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002348", "prompt": "Evaluate: 5090 / ((3818 + (-4970)) / 6281)", "solution_steps": ["Add: 3818 + (-4970) = -1152", "Divide: -1152 / 6281 = -1152/6281", "Divide: 5090 / (-1152/6281) = -15985145/576"], "final_answer": "-15985145/576", "answer_type": "rational", "kind": "expression", "math_text": "5090 / ((3818 + (-4970)) / 6281)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5090, \"b\": 3818, \"c\": -4970, \"d\": 6281}", "seed": "3512355207020668473", "semantic_fingerprint": "sha256:1fafed0e0a42da466066550f842058087b7739d0cd42d37d603b381b624954ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002349", "prompt": "Calculate: 3088 * (7016 * 1745) + (2832 + (-2944))", "solution_steps": ["Multiply: 7016 * 1745 = 12242920", "Multiply: 3088 * 12242920 = 37806136960", "Add: 2832 + (-2944) = -112", "Add: 37806136960 + (-112) = 37806136848"], "final_answer": "37806136848", "answer_type": "integer", "kind": "expression", "math_text": "3088 * (7016 * 1745) + (2832 + (-2944))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3088, \"b\": 7016, \"c\": 1745, \"d\": 2832, \"e\": -2944}", "seed": "6703401677068458772", "semantic_fingerprint": "sha256:2512f527e5f1ffa7d73150e0c304308390639177f7e118bb459cc5ea29dd2048", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002350", "prompt": "Calculate: -7850 - (4786 - 74015)", "solution_steps": ["Subtract: 4786 - 74015 = -69229", "Subtract: -7850 - (-69229) = 61379"], "final_answer": "61379", "answer_type": "integer", "kind": "expression", "math_text": "-7850 - (4786 - 74015)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7850, \"b\": 4786, \"c\": 74015}", "seed": "16158121298225427409", "semantic_fingerprint": "sha256:e5658e7c6e57159569f0e3ddf69a78f5427d098c9ebc868ac3a9d13cba0b23fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002351", "prompt": "Solve the equation 25(x + 55603) = -33x + 4912 for x.", "solution_steps": ["Expand: 25x + 1390075 = -33x + 4912", "Add 33x to both sides: 58x + 1390075 = 4912", "Subtract 1390075 from both sides: 58x = -1385163", "Divide both sides by 58: x = -1385163/58"], "final_answer": "-1385163/58", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 55603) = -33x + 4912", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 55603, \"c\": -33, \"d\": 4912}", "seed": "13123685766324181925", "semantic_fingerprint": "sha256:0523c89809c2ec14a09c335768bc337a29f125097e772394d632ea906d0d45bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002352", "prompt": "Solve the equation 23x = -22(x - 30454) for x.", "solution_steps": ["Expand: 23x = -22x + 669988", "Add 22x to both sides: 45x = 669988", "Divide both sides by 45: x = 669988/45"], "final_answer": "669988/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x = -22(x - 30454)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": -22, \"c\": 30454}", "seed": "17057809805537768873", "semantic_fingerprint": "sha256:6c1cccf415057b546ab3e840232533ff5fadbbd99d37f4bfdf058efcb0df5e4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002353", "prompt": "What value of x satisfies 32(x + 35645) = 21(x - 70904) - 56570?", "solution_steps": ["Expand: 32x + 1140640 = 21(x - 70904) - 56570", "Expand: 32x + 1140640 = 21x - 1488984 - 56570", "Combine constants: 32x + 1140640 = 21x - 1545554", "Subtract 21x from both sides: 11x + 1140640 = -1545554", "Subtract 1140640 from both sides: 11x = -2686194", "Divide both sides by 11: x = -2686194/11"], "final_answer": "-2686194/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 35645) = 21(x - 70904) - 56570", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 35645, \"c\": 21, \"d\": 70904, \"e\": 56570}", "seed": "13913384528364900437", "semantic_fingerprint": "sha256:acf443b040e6dad789d5bad08db90550c9f5bc2f186399500125f652489feca7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002354", "prompt": "Compute: -7355 - (-41310)", "solution_steps": ["Subtract: -7355 - (-41310) = 33955"], "final_answer": "33955", "answer_type": "integer", "kind": "expression", "math_text": "-7355 - (-41310)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7355, \"b\": -41310}", "seed": "8644408324829152778", "semantic_fingerprint": "sha256:7b44423a698e0c12146a4cf38511dbba433603e162a1c02941514f1a3f43386d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002355", "prompt": "Evaluate: 7982 + (-86245) - (3954 + 48419 + 2580)", "solution_steps": ["Add: 7982 + (-86245) = -78263", "Add: 3954 + 48419 = 52373", "Add: 52373 + 2580 = 54953", "Subtract: -78263 - 54953 = -133216"], "final_answer": "-133216", "answer_type": "integer", "kind": "expression", "math_text": "7982 + (-86245) - (3954 + 48419 + 2580)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7982, \"b\": -86245, \"c\": 3954, \"d\": 48419, \"e\": 2580}", "seed": "17287360610600175107", "semantic_fingerprint": "sha256:93dafa83bce733c7bcaf4390d7993719b299ba8ae2c5b69ba4886efaf3d5fe3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002356", "prompt": "Solve for x: x + 3508 = 3435", "solution_steps": ["Subtract 3508 from both sides: x = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3508 = 3435", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3508, \"c\": 3435, \"x\": -73}", "seed": "18424590251624943394", "semantic_fingerprint": "sha256:f8a5fee657bcc5550d860e31f7932ee2504992558694a9500553a060ba5f859b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002357", "prompt": "Solve for x: x + 4545 = -34x + 3530", "solution_steps": ["Add 34x to both sides: 35x + 4545 = 3530", "Subtract 4545 from both sides: 35x = -1015", "Divide both sides by 35: x = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4545 = -34x + 3530", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4545, \"b\": -34, \"d\": 3530, \"x\": -29}", "seed": "14117047432520597145", "semantic_fingerprint": "sha256:1a7d9a223b26af742b5ea9b05a969621563ed4c163512b63031ba2cb2b3579a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002358", "prompt": "Solve for x: -14(x + 33374) = x - 3350", "solution_steps": ["Expand: -14x - 467236 = x - 3350", "Subtract x from both sides: -15x - 467236 = -3350", "Add 467236 to both sides: -15x = 463886", "Divide both sides by -15: x = -463886/15"], "final_answer": "-463886/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 33374) = x - 3350", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 33374, \"c\": 3350}", "seed": "1137765424539683353", "semantic_fingerprint": "sha256:4e9e9de07e41e4cf6ed212dc13d668d791e2a9b4fdc3cd45b6943269e7679015", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002359", "prompt": "Find x: -32(x + 9951) + 18391 = -29x - 1294", "solution_steps": ["Expand: -32x - 318432 + 18391 = -29x - 1294", "Combine constants: -32x - 300041 = -29x - 1294", "Add 29x to both sides: -3x - 300041 = -1294", "Add 300041 to both sides: -3x = 298747", "Divide both sides by -3: x = -298747/3"], "final_answer": "-298747/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x + 9951) + 18391 = -29x - 1294", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 9951, \"c\": 18391, \"d\": -29, \"e\": 1294}", "seed": "5293923710865284202", "semantic_fingerprint": "sha256:7f9aa87971ddf0852bbdd5c3f436238173b76aa54e53b5d99916646e49abea4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002360", "prompt": "What is 1733 + 6489?", "solution_steps": ["Add: 1733 + 6489 = 8222"], "final_answer": "8222", "answer_type": "integer", "kind": "expression", "math_text": "1733 + 6489", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1733, \"b\": 6489}", "seed": "4530093627555877513", "semantic_fingerprint": "sha256:803eecdd48b3f75c1862d6ed610f46cf2cd7cb0570b2c8db610a43673ad4141a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002361", "prompt": "Find x: 25(x - 2877) = x - 68373", "solution_steps": ["Expand: 25x - 71925 = x - 68373", "Subtract x from both sides: 24x - 71925 = -68373", "Add 71925 to both sides: 24x = 3552", "Divide both sides by 24: x = 148"], "final_answer": "148", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 2877) = x - 68373", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2877, \"d\": -68373, \"x\": 148}", "seed": "1986463036979077792", "semantic_fingerprint": "sha256:e26d433fdc2426df2ad54d0bf069af200e07064bc9c8b436cf1cc05138f5a561", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002362", "prompt": "What is (3916 - 9706) * 7176 + 7692 * (7795 - (-3286))?", "solution_steps": ["Subtract: 3916 - 9706 = -5790", "Multiply: -5790 * 7176 = -41549040", "Subtract: 7795 - (-3286) = 11081", "Multiply: 7692 * 11081 = 85235052", "Add: -41549040 + 85235052 = 43686012"], "final_answer": "43686012", "answer_type": "integer", "kind": "expression", "math_text": "(3916 - 9706) * 7176 + 7692 * (7795 - (-3286))", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) n) (* n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3916, \"b\": 9706, \"c\": 7176, \"d\": 7692, \"e\": 7795, \"f\": -3286}", "seed": "3431938327856353812", "semantic_fingerprint": "sha256:16fc0d44374a26d3f0080885fd7981567efff07c223f2633a932cee23b62944f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002363", "prompt": "Solve the equation x - 7540 = 6642 for x.", "solution_steps": ["Add 7540 to both sides: x = 14182"], "final_answer": "14182", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7540 = 6642", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7540, \"b\": 6642}", "seed": "16636666899903122093", "semantic_fingerprint": "sha256:c0971e6fbfeeb9b7b5ac8b5fe2dc0c18d076fc887cc4f09ca179f0f736c44e66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002364", "prompt": "Solve the equation x + 30382 = -35(x + 7174) for x.", "solution_steps": ["Expand: x + 30382 = -35x - 251090", "Add 35x to both sides: 36x + 30382 = -251090", "Subtract 30382 from both sides: 36x = -281472", "Divide both sides by 36: x = -23456/3"], "final_answer": "-23456/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 30382 = -35(x + 7174)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30382, \"b\": -35, \"c\": 7174}", "seed": "9186160729777982890", "semantic_fingerprint": "sha256:3aecaa94d59682228332f726a8be054aa0e7d343d769b1243115e512bf8efa2a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002365", "prompt": "Evaluate: -27009 - (88033 - (2286 - (-1892) * (-1258)))", "solution_steps": ["Multiply: -1892 * (-1258) = 2380136", "Subtract: 2286 - 2380136 = -2377850", "Subtract: 88033 - (-2377850) = 2465883", "Subtract: -27009 - 2465883 = -2492892"], "final_answer": "-2492892", "answer_type": "integer", "kind": "expression", "math_text": "-27009 - (88033 - (2286 - (-1892) * (-1258)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (- n (* n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27009, \"b\": 88033, \"c\": 2286, \"d\": -1892, \"e\": -1258}", "seed": "15097401127492231992", "semantic_fingerprint": "sha256:24d8c792926ba7cc88a8a53819736f736a39390171fa10ea79705eb188517262", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002366", "prompt": "Evaluate: 51424 + (-2873 + (-7078) + (-11791)) - (-5019)", "solution_steps": ["Add: -2873 + (-7078) = -9951", "Add: -9951 + (-11791) = -21742", "Add: 51424 + (-21742) = 29682", "Subtract: 29682 - (-5019) = 34701"], "final_answer": "34701", "answer_type": "integer", "kind": "expression", "math_text": "51424 + (-2873 + (-7078) + (-11791)) - (-5019)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 51424, \"b\": -2873, \"c\": -7078, \"d\": -11791, \"e\": -5019}", "seed": "6143750597434830367", "semantic_fingerprint": "sha256:9e1d626a6130923bfe3e703a19460e3f8eb8b6f1d3bfa9f1cbe6d96c7be03321", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002367", "prompt": "Evaluate: -6262 * (-7847)", "solution_steps": ["Multiply: -6262 * (-7847) = 49137914"], "final_answer": "49137914", "answer_type": "integer", "kind": "expression", "math_text": "-6262 * (-7847)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6262, \"b\": -7847}", "seed": "2901647249953866066", "semantic_fingerprint": "sha256:a65321a5234291d2f98b362c47d63692e58b3c2dd3b424c9a1967b2c3577311d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002368", "prompt": "Solve the equation 27x = -13(x - 39661) for x.", "solution_steps": ["Expand: 27x = -13x + 515593", "Add 13x to both sides: 40x = 515593", "Divide both sides by 40: x = 515593/40"], "final_answer": "515593/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x = -13(x - 39661)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": -13, \"c\": 39661}", "seed": "14690949583883062706", "semantic_fingerprint": "sha256:99c5f167a67650330496bb1c1fa11993b5f10818743634ecbb60d6b488c8922c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002369", "prompt": "Solve the equation 13x = -1807 for x.", "solution_steps": ["Divide both sides by 13: x = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x = -1807", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"c\": -1807, \"x\": -139}", "seed": "15546054621144841088", "semantic_fingerprint": "sha256:674eb9c1fffe4bc2b819324c3fc081f4140a080d41048f04dcee1404bb1a39ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002370", "prompt": "Find x: x + 76516 = -19x + 91242", "solution_steps": ["Add 19x to both sides: 20x + 76516 = 91242", "Subtract 76516 from both sides: 20x = 14726", "Divide both sides by 20: x = 7363/10"], "final_answer": "7363/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 76516 = -19x + 91242", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 76516, \"b\": -19, \"c\": 91242}", "seed": "6774568667085798985", "semantic_fingerprint": "sha256:81937f9d29e5365cd5b599798448105bb7761a25d4fa6cc0435abff6c55b0328", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002371", "prompt": "What is 37873 + (-5598 + (-5790 - 8292))?", "solution_steps": ["Subtract: -5790 - 8292 = -14082", "Add: -5598 + (-14082) = -19680", "Add: 37873 + (-19680) = 18193"], "final_answer": "18193", "answer_type": "integer", "kind": "expression", "math_text": "37873 + (-5598 + (-5790 - 8292))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37873, \"b\": -5598, \"c\": -5790, \"d\": 8292}", "seed": "4414504962485016479", "semantic_fingerprint": "sha256:e5192c85ca5e9c690e3d1737b29e3fe0d99ecea2e3441544e2bd5ba64873df4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002372", "prompt": "What is -9689 * 8565?", "solution_steps": ["Multiply: -9689 * 8565 = -82986285"], "final_answer": "-82986285", "answer_type": "integer", "kind": "expression", "math_text": "-9689 * 8565", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9689, \"b\": 8565}", "seed": "10107507122601980881", "semantic_fingerprint": "sha256:c453d08128ec292e7d0aa20a1dfb4c02acd5d70da71fc773212ac56923b1dcfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002373", "prompt": "Evaluate: -12340 + 1584 + 21991 * 3255", "solution_steps": ["Add: -12340 + 1584 = -10756", "Multiply: 21991 * 3255 = 71580705", "Add: -10756 + 71580705 = 71569949"], "final_answer": "71569949", "answer_type": "integer", "kind": "expression", "math_text": "-12340 + 1584 + 21991 * 3255", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -12340, \"b\": 1584, \"c\": 21991, \"d\": 3255}", "seed": "15163335720261404819", "semantic_fingerprint": "sha256:7fec709634cde5ed58214742e9aa96cdafc2b54c0d6b74469bbe23f90558287a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002374", "prompt": "Compute: 91688 - 5665 + (-39117)", "solution_steps": ["Subtract: 91688 - 5665 = 86023", "Add: 86023 + (-39117) = 46906"], "final_answer": "46906", "answer_type": "integer", "kind": "expression", "math_text": "91688 - 5665 + (-39117)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91688, \"b\": 5665, \"c\": -39117}", "seed": "15604705731103569604", "semantic_fingerprint": "sha256:2d8a12454be625cbe274478249814e4641ee61bceba81622df8df596510ff7cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002375", "prompt": "Solve for x: 16(x + 4674) = -25x", "solution_steps": ["Expand: 16x + 74784 = -25x", "Add 25x to both sides: 41x + 74784 = 0", "Subtract 74784 from both sides: 41x = -74784", "Divide both sides by 41: x = -1824"], "final_answer": "-1824", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 4674) = -25x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 4674, \"c\": -25}", "seed": "16076588756716341260", "semantic_fingerprint": "sha256:c43599fb860327e3e59f4b8a7a09bfa3f761c60e001f126409d2278cbaa9c587", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002376", "prompt": "Evaluate: -54613 + 3325", "solution_steps": ["Add: -54613 + 3325 = -51288"], "final_answer": "-51288", "answer_type": "integer", "kind": "expression", "math_text": "-54613 + 3325", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -54613, \"b\": 3325}", "seed": "1021615227387128540", "semantic_fingerprint": "sha256:da08479b85c5c2d54a99f15cf01cb6859874ea18526ea7cc2d79790c8abaff1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002377", "prompt": "What is -5457 * 2290 - (-90654 - 3997)?", "solution_steps": ["Multiply: -5457 * 2290 = -12496530", "Subtract: -90654 - 3997 = -94651", "Subtract: -12496530 - (-94651) = -12401879"], "final_answer": "-12401879", "answer_type": "integer", "kind": "expression", "math_text": "-5457 * 2290 - (-90654 - 3997)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5457, \"b\": 2290, \"c\": -90654, \"d\": 3997}", "seed": "3200502043661758628", "semantic_fingerprint": "sha256:740dc5949ae8ee5ac7b70181fe6f4a0f00dd2076e778994ed91df8592afc8c8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002378", "prompt": "What is -20190 * 2184 + (-79873 + 94743 / 4203 * (-5954))?", "solution_steps": ["Multiply: -20190 * 2184 = -44094960", "Divide: 94743 / 4203 = 10527/467", "Multiply: (10527/467) * (-5954) = -62677758/467", "Add: -79873 + (-62677758/467) = -99978449/467", "Add: -44094960 + (-99978449/467) = -20692324769/467"], "final_answer": "-20692324769/467", "answer_type": "rational", "kind": "expression", "math_text": "-20190 * 2184 + (-79873 + 94743 / 4203 * (-5954))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ n (* (/ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20190, \"b\": 2184, \"c\": -79873, \"d\": 94743, \"e\": 4203, \"f\": -5954}", "seed": "16247330047671513967", "semantic_fingerprint": "sha256:2853a86b37e9171d89a04a9359cb16280114d40ba3d56fb96161ccc87426984e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002379", "prompt": "Evaluate: 6032 / (-8233 - 87581)", "solution_steps": ["Subtract: -8233 - 87581 = -95814", "Divide: 6032 / (-95814) = -3016/47907"], "final_answer": "-3016/47907", "answer_type": "rational", "kind": "expression", "math_text": "6032 / (-8233 - 87581)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6032, \"b\": -8233, \"c\": 87581}", "seed": "3680724589402667409", "semantic_fingerprint": "sha256:69fce0815c4a1f163e5aa4a939792d1f0cab0b8ee0e317035fe8382e255f71a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002380", "prompt": "Evaluate: -6388 + (9484 - (-6989))", "solution_steps": ["Subtract: 9484 - (-6989) = 16473", "Add: -6388 + 16473 = 10085"], "final_answer": "10085", "answer_type": "integer", "kind": "expression", "math_text": "-6388 + (9484 - (-6989))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6388, \"b\": 9484, \"c\": -6989}", "seed": "17427046360771345839", "semantic_fingerprint": "sha256:3a4e8170bd6e76fb95b7e93b014575f09c02417a6591320a1ec06b2180c3e5fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002381", "prompt": "Compute: -3979 + (-5914) * (38297 + (-3837) / 7623)", "solution_steps": ["Divide: -3837 / 7623 = -1279/2541", "Add: 38297 + (-1279/2541) = 97311398/2541", "Multiply: -5914 * (97311398/2541) = -575499607772/2541", "Add: -3979 + (-575499607772/2541) = -575509718411/2541"], "final_answer": "-575509718411/2541", "answer_type": "rational", "kind": "expression", "math_text": "-3979 + (-5914) * (38297 + (-3837) / 7623)", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (+ n (/ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3979, \"b\": -5914, \"c\": 38297, \"d\": -3837, \"e\": 7623}", "seed": "18430515521916351894", "semantic_fingerprint": "sha256:bb72c808786450c2480e47d8f0797442d90e5deec616ed9ee2bcfbf863cdc2a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002382", "prompt": "Find x: 39x = 6669", "solution_steps": ["Divide both sides by 39: x = 171"], "final_answer": "171", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = 6669", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": 6669, \"x\": 171}", "seed": "4665642494550263103", "semantic_fingerprint": "sha256:bfaa85620c2f8a983e96403a9d574aa227c25f312ff4f0900f56165d8683eed2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002383", "prompt": "Solve the equation 40x + 3531 = x + 1698 for x.", "solution_steps": ["Subtract x from both sides: 39x + 3531 = 1698", "Subtract 3531 from both sides: 39x = -1833", "Divide both sides by 39: x = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 3531 = x + 1698", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 3531, \"d\": 1698, \"x\": -47}", "seed": "10743322681390327720", "semantic_fingerprint": "sha256:0fa2180077e03761b7f09973c61e72fee14f14706dbcbdc32a2ae6560e3ac868", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002384", "prompt": "Find x: x - 1295 = 32x - 2287", "solution_steps": ["Subtract 32x from both sides: -31x - 1295 = -2287", "Add 1295 to both sides: -31x = -992", "Divide both sides by -31: x = 32"], "final_answer": "32", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1295 = 32x - 2287", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1295, \"b\": 32, \"d\": -2287, \"x\": 32}", "seed": "3297550451827922075", "semantic_fingerprint": "sha256:ad52fa4a575a1cb103d99fdacb9d24c66f5c15fe4c58d7212583ca71c699b48d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002385", "prompt": "What is -6875 + (-8319)?", "solution_steps": ["Add: -6875 + (-8319) = -15194"], "final_answer": "-15194", "answer_type": "integer", "kind": "expression", "math_text": "-6875 + (-8319)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6875, \"b\": -8319}", "seed": "4918016964374150207", "semantic_fingerprint": "sha256:f1eaa830cf89b92a9b0dbb2e100f603b980d397e9112f746bbc56ad3dd3735fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002386", "prompt": "Evaluate: -74141 + (-79043) + (-73755 - (-62832 + (-8347) - (-64805)))", "solution_steps": ["Add: -74141 + (-79043) = -153184", "Add: -62832 + (-8347) = -71179", "Subtract: -71179 - (-64805) = -6374", "Subtract: -73755 - (-6374) = -67381", "Add: -153184 + (-67381) = -220565"], "final_answer": "-220565", "answer_type": "integer", "kind": "expression", "math_text": "-74141 + (-79043) + (-73755 - (-62832 + (-8347) - (-64805)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (- (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -74141, \"b\": -79043, \"c\": -73755, \"d\": -62832, \"e\": -8347, \"f\": -64805}", "seed": "11111581902075525070", "semantic_fingerprint": "sha256:1e5532b22585928923dee4e48a5badb28abe3e2a474316107ac3f26e6f297a4b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002387", "prompt": "Calculate: -48318 + 4354", "solution_steps": ["Add: -48318 + 4354 = -43964"], "final_answer": "-43964", "answer_type": "integer", "kind": "expression", "math_text": "-48318 + 4354", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -48318, \"b\": 4354}", "seed": "12733371881566752118", "semantic_fingerprint": "sha256:1d12028c2d6213eaf68c35b72fff8fd42294c9443db315e2c2b59cb584e819c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002388", "prompt": "Evaluate: (-39764 + (-85040 + (-6777))) * 4606", "solution_steps": ["Add: -85040 + (-6777) = -91817", "Add: -39764 + (-91817) = -131581", "Multiply: -131581 * 4606 = -606062086"], "final_answer": "-606062086", "answer_type": "integer", "kind": "expression", "math_text": "(-39764 + (-85040 + (-6777))) * 4606", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39764, \"b\": -85040, \"c\": -6777, \"d\": 4606}", "seed": "4099047711344188902", "semantic_fingerprint": "sha256:fda67fe246a44b88663aed273f80b0d8a4889cd1f5ce45402616ea7fefe67577", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002389", "prompt": "Compute: 55376 - 81705 - (-6244 - 9853) / 9901", "solution_steps": ["Subtract: 55376 - 81705 = -26329", "Subtract: -6244 - 9853 = -16097", "Divide: -16097 / 9901 = -16097/9901", "Subtract: -26329 - (-16097/9901) = -260667332/9901"], "final_answer": "-260667332/9901", "answer_type": "rational", "kind": "expression", "math_text": "55376 - 81705 - (-6244 - 9853) / 9901", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 55376, \"b\": 81705, \"c\": -6244, \"d\": 9853, \"e\": 9901}", "seed": "11747479117827813741", "semantic_fingerprint": "sha256:7b012960cad5e31bb170ee666a473832adc05ae9373cca3cb13ad53b6c716a48", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002390", "prompt": "Find x: 13x + 3390 = 38(x - 1642) + 61186", "solution_steps": ["Expand: 13x + 3390 = 38x - 62396 + 61186", "Combine constants: 13x + 3390 = 38x - 1210", "Subtract 38x from both sides: -25x + 3390 = -1210", "Subtract 3390 from both sides: -25x = -4600", "Divide both sides by -25: x = 184"], "final_answer": "184", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 3390 = 38(x - 1642) + 61186", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 3390, \"c\": 38, \"d\": 1642, \"f\": 61186, \"x\": 184}", "seed": "7936311583975198496", "semantic_fingerprint": "sha256:f9487816149d1c5a538ebebf2f664cc7ea0ec13d9ab253a3f029ab0131294b3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002391", "prompt": "Compute: (7457 - 92584) * (-71464 + 1146)", "solution_steps": ["Subtract: 7457 - 92584 = -85127", "Add: -71464 + 1146 = -70318", "Multiply: -85127 * (-70318) = 5985960386"], "final_answer": "5985960386", "answer_type": "integer", "kind": "expression", "math_text": "(7457 - 92584) * (-71464 + 1146)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7457, \"b\": 92584, \"c\": -71464, \"d\": 1146}", "seed": "11146541420575137274", "semantic_fingerprint": "sha256:68a2fe5bba3eb8f1824f5d7f5163d1c5b926482fc119af031ea04fa99bd3ce05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002392", "prompt": "Solve the equation 19x + 94556 = 34x for x.", "solution_steps": ["Subtract 34x from both sides: -15x + 94556 = 0", "Subtract 94556 from both sides: -15x = -94556", "Divide both sides by -15: x = 94556/15"], "final_answer": "94556/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x + 94556 = 34x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 94556, \"c\": 34}", "seed": "500620614909981024", "semantic_fingerprint": "sha256:d06a16b88f592f4bf0b18341ee9916b8aa61f425a800081fed5c9712652437dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002393", "prompt": "Compute: (72952 + 8483 * (-19687)) / 78709", "solution_steps": ["Multiply: 8483 * (-19687) = -167004821", "Add: 72952 + (-167004821) = -166931869", "Divide: -166931869 / 78709 = -5384899/2539"], "final_answer": "-5384899/2539", "answer_type": "rational", "kind": "expression", "math_text": "(72952 + 8483 * (-19687)) / 78709", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72952, \"b\": 8483, \"c\": -19687, \"d\": 78709}", "seed": "16318174238821826296", "semantic_fingerprint": "sha256:7346b9a45cbf99928c5596719b80fcd74e8654ac991753edf281a1988acaee07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002394", "prompt": "Evaluate: -97338 * (-8749) + (-7158)", "solution_steps": ["Multiply: -97338 * (-8749) = 851610162", "Add: 851610162 + (-7158) = 851603004"], "final_answer": "851603004", "answer_type": "integer", "kind": "expression", "math_text": "-97338 * (-8749) + (-7158)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97338, \"b\": -8749, \"c\": -7158}", "seed": "4963090794986721215", "semantic_fingerprint": "sha256:e9b7e3343cb52cd3d98f148d8e6a503683861bf68c33dbfd551f2b10062e1629", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002395", "prompt": "Calculate: (98974 - 5822) / 7722", "solution_steps": ["Subtract: 98974 - 5822 = 93152", "Divide: 93152 / 7722 = 46576/3861"], "final_answer": "46576/3861", "answer_type": "rational", "kind": "expression", "math_text": "(98974 - 5822) / 7722", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98974, \"b\": 5822, \"c\": 7722}", "seed": "15074056321616559986", "semantic_fingerprint": "sha256:293021a97703a184fbc6ee35bd1c0b1f252071d235efffe44b7e13229bff45ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002396", "prompt": "Solve for x: x - 8093 = 27(x - 52238) - 91475", "solution_steps": ["Expand: x - 8093 = 27x - 1410426 - 91475", "Combine constants: x - 8093 = 27x - 1501901", "Subtract 27x from both sides: -26x - 8093 = -1501901", "Add 8093 to both sides: -26x = -1493808", "Divide both sides by -26: x = 746904/13"], "final_answer": "746904/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8093 = 27(x - 52238) - 91475", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8093, \"b\": 27, \"c\": 52238, \"d\": 91475}", "seed": "13296520258032730780", "semantic_fingerprint": "sha256:e2103663e348f5f65b0205c2fb75f574e55d80af232d3e00a903274c66d186f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002397", "prompt": "What is 9426 * 33993 - 2171?", "solution_steps": ["Multiply: 9426 * 33993 = 320418018", "Subtract: 320418018 - 2171 = 320415847"], "final_answer": "320415847", "answer_type": "integer", "kind": "expression", "math_text": "9426 * 33993 - 2171", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9426, \"b\": 33993, \"c\": 2171}", "seed": "14105625943570388718", "semantic_fingerprint": "sha256:316ea201082679cd437e323acb2cb7db98d901286f0b4f935ba217cb99c486a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002398", "prompt": "Evaluate: 58831 * (-1894) * (-2443)", "solution_steps": ["Multiply: 58831 * (-1894) = -111425914", "Multiply: -111425914 * (-2443) = 272213507902"], "final_answer": "272213507902", "answer_type": "integer", "kind": "expression", "math_text": "58831 * (-1894) * (-2443)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 58831, \"b\": -1894, \"c\": -2443}", "seed": "14200030650276030101", "semantic_fingerprint": "sha256:0ab64aafd45a8d316c68545319bdacdf2265a1c6613d84fe75a4061544a7f9c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002399", "prompt": "Evaluate: 94286 * (-31254)", "solution_steps": ["Multiply: 94286 * (-31254) = -2946814644"], "final_answer": "-2946814644", "answer_type": "integer", "kind": "expression", "math_text": "94286 * (-31254)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 94286, \"b\": -31254}", "seed": "11974055614385460845", "semantic_fingerprint": "sha256:3730ef864ae5fdbe7b7b9d9209262fadfdfdb5c4646f371da3b06c244fb7034d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002400", "prompt": "Calculate: 3081 + 27533 - (-8121 - (-9763)) - (-6373)", "solution_steps": ["Add: 3081 + 27533 = 30614", "Subtract: -8121 - (-9763) = 1642", "Subtract: 30614 - 1642 = 28972", "Subtract: 28972 - (-6373) = 35345"], "final_answer": "35345", "answer_type": "integer", "kind": "expression", "math_text": "3081 + 27533 - (-8121 - (-9763)) - (-6373)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3081, \"b\": 27533, \"c\": -8121, \"d\": -9763, \"e\": -6373}", "seed": "5716696378012251260", "semantic_fingerprint": "sha256:0f5d07af147c852b536d1949373dbceca06b1a1d09caed8b3243e822ef914b22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002401", "prompt": "What is 8602 + (-9789)?", "solution_steps": ["Add: 8602 + (-9789) = -1187"], "final_answer": "-1187", "answer_type": "integer", "kind": "expression", "math_text": "8602 + (-9789)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8602, \"b\": -9789}", "seed": "5683953606693562228", "semantic_fingerprint": "sha256:970cd020e5dd2fc26c93fa992af5456f6be50643743925822460c9c33d7304b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002402", "prompt": "Find x: x - 8061 = 21(x - 98190) - 6613", "solution_steps": ["Expand: x - 8061 = 21x - 2061990 - 6613", "Combine constants: x - 8061 = 21x - 2068603", "Subtract 21x from both sides: -20x - 8061 = -2068603", "Add 8061 to both sides: -20x = -2060542", "Divide both sides by -20: x = 1030271/10"], "final_answer": "1030271/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8061 = 21(x - 98190) - 6613", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8061, \"b\": 21, \"c\": 98190, \"d\": 6613}", "seed": "7455597692909568344", "semantic_fingerprint": "sha256:3ff9c262587560110868c501ef2de9d56d7156a8eed578c8c15458ea7a4e33f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002403", "prompt": "Compute: 5348 - (-5608) - (-74162 * (-90244) + 14087)", "solution_steps": ["Subtract: 5348 - (-5608) = 10956", "Multiply: -74162 * (-90244) = 6692675528", "Add: 6692675528 + 14087 = 6692689615", "Subtract: 10956 - 6692689615 = -6692678659"], "final_answer": "-6692678659", "answer_type": "integer", "kind": "expression", "math_text": "5348 - (-5608) - (-74162 * (-90244) + 14087)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5348, \"b\": -5608, \"c\": -74162, \"d\": -90244, \"e\": 14087}", "seed": "14097817937980382154", "semantic_fingerprint": "sha256:243e2db17e66c2f2f278dd8a6f97165bfbec23b63a8eaa46b3d2e688c5b4f174", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002404", "prompt": "Compute: -6441 * (-3226) + (-9271)", "solution_steps": ["Multiply: -6441 * (-3226) = 20778666", "Add: 20778666 + (-9271) = 20769395"], "final_answer": "20769395", "answer_type": "integer", "kind": "expression", "math_text": "-6441 * (-3226) + (-9271)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6441, \"b\": -3226, \"c\": -9271}", "seed": "18286504611053933856", "semantic_fingerprint": "sha256:5029e7ac1f06ba58f83c55909b7c8f4897a68c99fd95a35ff40d63288ae978db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002405", "prompt": "Calculate: -12652 - (-87263 + (-9173 + 5634 + (33882 + 1464)))", "solution_steps": ["Add: -9173 + 5634 = -3539", "Add: 33882 + 1464 = 35346", "Add: -3539 + 35346 = 31807", "Add: -87263 + 31807 = -55456", "Subtract: -12652 - (-55456) = 42804"], "final_answer": "42804", "answer_type": "integer", "kind": "expression", "math_text": "-12652 - (-87263 + (-9173 + 5634 + (33882 + 1464)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (+ (+ n n) (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -12652, \"b\": -87263, \"c\": -9173, \"d\": 5634, \"e\": 33882, \"f\": 1464}", "seed": "10575029907906901875", "semantic_fingerprint": "sha256:d97b424278302f8ff481087e2927c27e3623dfcb0a6d634e2060b84549210cdc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002406", "prompt": "Evaluate: (-8297 + 6146) / (-9791)", "solution_steps": ["Add: -8297 + 6146 = -2151", "Divide: -2151 / (-9791) = 2151/9791"], "final_answer": "2151/9791", "answer_type": "rational", "kind": "expression", "math_text": "(-8297 + 6146) / (-9791)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8297, \"b\": 6146, \"c\": -9791}", "seed": "16673770166909252831", "semantic_fingerprint": "sha256:457b5c3ec6b8a2c274bb00ee5aed7e336fa1c87109628f5a2bd4f48364bb9eb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002407", "prompt": "Calculate: -2155 - 74276 * (-4949)", "solution_steps": ["Multiply: 74276 * (-4949) = -367591924", "Subtract: -2155 - (-367591924) = 367589769"], "final_answer": "367589769", "answer_type": "integer", "kind": "expression", "math_text": "-2155 - 74276 * (-4949)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2155, \"b\": 74276, \"c\": -4949}", "seed": "5899866264103263810", "semantic_fingerprint": "sha256:1f1195b0838e6b583abc4afd5bbb96fd960067e9e185f6b9991e49e82e881686", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002408", "prompt": "What is 86126 / 45873?", "solution_steps": ["Divide: 86126 / 45873 = 86126/45873"], "final_answer": "86126/45873", "answer_type": "rational", "kind": "expression", "math_text": "86126 / 45873", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 86126, \"b\": 45873}", "seed": "15120409699737660864", "semantic_fingerprint": "sha256:142ced285e1df4c3ae88eef61e77c4532d1ee9170948fa99387fc6edfca9ac04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002409", "prompt": "Solve for x: x - 1600 = 89185", "solution_steps": ["Add 1600 to both sides: x = 90785"], "final_answer": "90785", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1600 = 89185", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1600, \"b\": 89185}", "seed": "9983737864390566050", "semantic_fingerprint": "sha256:e662f4d865612831c8836e39c675520d6d12e5497e4a2a905c2fcfe70e066e94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002410", "prompt": "Calculate: -3999 - 4467 * 92259", "solution_steps": ["Multiply: 4467 * 92259 = 412120953", "Subtract: -3999 - 412120953 = -412124952"], "final_answer": "-412124952", "answer_type": "integer", "kind": "expression", "math_text": "-3999 - 4467 * 92259", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3999, \"b\": 4467, \"c\": 92259}", "seed": "8136022343050811327", "semantic_fingerprint": "sha256:7bd1e0d2f707a69b28c62dc368288395f93de3851b9af7df76b2b226c073fcbb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002411", "prompt": "What is 9145 - (-9566) + 7635?", "solution_steps": ["Subtract: 9145 - (-9566) = 18711", "Add: 18711 + 7635 = 26346"], "final_answer": "26346", "answer_type": "integer", "kind": "expression", "math_text": "9145 - (-9566) + 7635", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9145, \"b\": -9566, \"c\": 7635}", "seed": "4619394215246630940", "semantic_fingerprint": "sha256:8140e32782e79bb9d6f437ed16b6340e0ba0e66ddc55cb1c4b747f53b746a212", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002412", "prompt": "What is 53125 / (-8328) * (-6477 - (-40392))?", "solution_steps": ["Divide: 53125 / (-8328) = -53125/8328", "Subtract: -6477 - (-40392) = 33915", "Multiply: (-53125/8328) * 33915 = -600578125/2776"], "final_answer": "-600578125/2776", "answer_type": "rational", "kind": "expression", "math_text": "53125 / (-8328) * (-6477 - (-40392))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 53125, \"b\": -8328, \"c\": -6477, \"d\": -40392}", "seed": "11485929635344021124", "semantic_fingerprint": "sha256:9a6ed263da1f1eb0731d694aa5e72902fc2931c75ca737bc8a6945c5a478641d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002413", "prompt": "Solve for x: 19(x + 94645) + 3230 = 26(x + 97321) + 47442", "solution_steps": ["Expand: 19x + 1798255 + 3230 = 26(x + 97321) + 47442", "Expand: 19x + 1798255 + 3230 = 26x + 2530346 + 47442", "Combine constants: 19x + 1801485 = 26x + 2530346 + 47442", "Combine constants: 19x + 1801485 = 26x + 2577788", "Subtract 26x from both sides: -7x + 1801485 = 2577788", "Subtract 1801485 from both sides: -7x = 776303", "Divide both sides by -7: x = -776303/7"], "final_answer": "-776303/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 94645) + 3230 = 26(x + 97321) + 47442", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 94645, \"c\": 3230, \"d\": 26, \"e\": 97321, \"f\": 47442}", "seed": "13445006785567064472", "semantic_fingerprint": "sha256:31e3f7f90f64844cfce0faaeeb3a388628ac36b34d257a094b23c14655db27e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002414", "prompt": "What value of x satisfies 36x = x?", "solution_steps": ["Subtract x from both sides: 35x = 0", "Divide both sides by 35: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36}", "seed": "14209152845498521228", "semantic_fingerprint": "sha256:f30073839f1077db2e663159183910a7013586bc55ab5866f9c39836010a2aa6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002415", "prompt": "Compute: -57117 * 3350 + (-16419)", "solution_steps": ["Multiply: -57117 * 3350 = -191341950", "Add: -191341950 + (-16419) = -191358369"], "final_answer": "-191358369", "answer_type": "integer", "kind": "expression", "math_text": "-57117 * 3350 + (-16419)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -57117, \"b\": 3350, \"c\": -16419}", "seed": "16313092270575304055", "semantic_fingerprint": "sha256:6e94be1db1b7a182b7a6f03948eda48bc25cb2c065e25ca04bc909d42e741d8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002416", "prompt": "Solve for x: 28x + 4968 = x", "solution_steps": ["Subtract x from both sides: 27x + 4968 = 0", "Subtract 4968 from both sides: 27x = -4968", "Divide both sides by 27: x = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 4968 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": 4968, \"x\": -184}", "seed": "10652817547404419075", "semantic_fingerprint": "sha256:02116d5b795a5b5878dec805578ba66a6c49aa54a14a7cec7406d061eba41d60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002417", "prompt": "Evaluate: 5643 * 21987 + (-9138 + (-49415))", "solution_steps": ["Multiply: 5643 * 21987 = 124072641", "Add: -9138 + (-49415) = -58553", "Add: 124072641 + (-58553) = 124014088"], "final_answer": "124014088", "answer_type": "integer", "kind": "expression", "math_text": "5643 * 21987 + (-9138 + (-49415))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5643, \"b\": 21987, \"c\": -9138, \"d\": -49415}", "seed": "14182901675139862635", "semantic_fingerprint": "sha256:b1681a1d534ae43d036a692debad7dbef905e91aca615800f985595c0ec454c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002418", "prompt": "Compute: -2119 - (-85622 * (-25844) + (1667 - 4774))", "solution_steps": ["Multiply: -85622 * (-25844) = 2212814968", "Subtract: 1667 - 4774 = -3107", "Add: 2212814968 + (-3107) = 2212811861", "Subtract: -2119 - 2212811861 = -2212813980"], "final_answer": "-2212813980", "answer_type": "integer", "kind": "expression", "math_text": "-2119 - (-85622 * (-25844) + (1667 - 4774))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2119, \"b\": -85622, \"c\": -25844, \"d\": 1667, \"e\": 4774}", "seed": "2369985192786380475", "semantic_fingerprint": "sha256:c359253e4d86df9266c8bbb03566676edebae0d8500f4a42de10defe9cb04f1b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002419", "prompt": "What is -86501 + 48737 * (13308 - (-6536))?", "solution_steps": ["Subtract: 13308 - (-6536) = 19844", "Multiply: 48737 * 19844 = 967137028", "Add: -86501 + 967137028 = 967050527"], "final_answer": "967050527", "answer_type": "integer", "kind": "expression", "math_text": "-86501 + 48737 * (13308 - (-6536))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -86501, \"b\": 48737, \"c\": 13308, \"d\": -6536}", "seed": "5357822333212039326", "semantic_fingerprint": "sha256:cbe98f98ddc2d6918e8461671063cb298f4a73a308eadb0d41c630fccec648d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002420", "prompt": "Compute: 1304 / 27751 * 7177", "solution_steps": ["Divide: 1304 / 27751 = 1304/27751", "Multiply: (1304/27751) * 7177 = 9358808/27751"], "final_answer": "9358808/27751", "answer_type": "rational", "kind": "expression", "math_text": "1304 / 27751 * 7177", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1304, \"b\": 27751, \"c\": 7177}", "seed": "16198532910622328131", "semantic_fingerprint": "sha256:e7cc153b890b0ea5252550b76c5b7c6cf7edb998bf640cf2e008f47d91d0b83a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002421", "prompt": "Compute: -2349 * (-1749) - 29041", "solution_steps": ["Multiply: -2349 * (-1749) = 4108401", "Subtract: 4108401 - 29041 = 4079360"], "final_answer": "4079360", "answer_type": "integer", "kind": "expression", "math_text": "-2349 * (-1749) - 29041", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2349, \"b\": -1749, \"c\": 29041}", "seed": "6901988069926619697", "semantic_fingerprint": "sha256:6af189bb8159a9fdc97be5295f7f99a4e26bbbf774842bd9f21f19f3e2b4625c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002422", "prompt": "Solve the equation 39(x + 59090) - 79666 = 36x + 9372 for x.", "solution_steps": ["Expand: 39x + 2304510 - 79666 = 36x + 9372", "Combine constants: 39x + 2224844 = 36x + 9372", "Subtract 36x from both sides: 3x + 2224844 = 9372", "Subtract 2224844 from both sides: 3x = -2215472", "Divide both sides by 3: x = -2215472/3"], "final_answer": "-2215472/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 59090) - 79666 = 36x + 9372", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 59090, \"c\": 79666, \"d\": 36, \"e\": 9372}", "seed": "8716194756393207686", "semantic_fingerprint": "sha256:996ed1af61432ccef1bb30e7b18fc97b1b54edfb30478156fe467d52cbb02b16", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002423", "prompt": "Calculate: 1175 * (-19824 - 5778)", "solution_steps": ["Subtract: -19824 - 5778 = -25602", "Multiply: 1175 * (-25602) = -30082350"], "final_answer": "-30082350", "answer_type": "integer", "kind": "expression", "math_text": "1175 * (-19824 - 5778)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1175, \"b\": -19824, \"c\": 5778}", "seed": "11815160009910958281", "semantic_fingerprint": "sha256:ce3e1be518f7b5e9af12ada8719c72856ca3f02a2329d64b6c8defe55c6f2665", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002424", "prompt": "What is 2683 / (-2250)?", "solution_steps": ["Divide: 2683 / (-2250) = -2683/2250"], "final_answer": "-2683/2250", "answer_type": "rational", "kind": "expression", "math_text": "2683 / (-2250)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2683, \"b\": -2250}", "seed": "2351384685334401623", "semantic_fingerprint": "sha256:d104d766107983fa5cd8b606741073f17d81eb10345b2cfadd52b49ff6d016f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002425", "prompt": "Compute: -42547 / 2480", "solution_steps": ["Divide: -42547 / 2480 = -42547/2480"], "final_answer": "-42547/2480", "answer_type": "rational", "kind": "expression", "math_text": "-42547 / 2480", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -42547, \"b\": 2480}", "seed": "18323812884521055742", "semantic_fingerprint": "sha256:27d588fabeafda51f48be6bd246fe7e595545374fae26ab23c2b4ec65606f6b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002426", "prompt": "Compute: 44136 * 41943", "solution_steps": ["Multiply: 44136 * 41943 = 1851196248"], "final_answer": "1851196248", "answer_type": "integer", "kind": "expression", "math_text": "44136 * 41943", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 44136, \"b\": 41943}", "seed": "6340817149514106617", "semantic_fingerprint": "sha256:6fde58920e191fbec8f401792e371656883b4c1bcbafe601c9dfe1f573d32ccf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002427", "prompt": "What is 4220 - (-23683 - (-50040))?", "solution_steps": ["Subtract: -23683 - (-50040) = 26357", "Subtract: 4220 - 26357 = -22137"], "final_answer": "-22137", "answer_type": "integer", "kind": "expression", "math_text": "4220 - (-23683 - (-50040))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4220, \"b\": -23683, \"c\": -50040}", "seed": "16447076183920142931", "semantic_fingerprint": "sha256:96d5c5927d332ef90535d2126b165cae1f4d437b89bd96fc1bd451f3ce0b9e25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002428", "prompt": "Solve for x: 13(x + 1320) + 81173 = -2413", "solution_steps": ["Expand: 13x + 17160 + 81173 = -2413", "Combine constants: 13x + 98333 = -2413", "Subtract 98333 from both sides: 13x = -100746", "Divide both sides by 13: x = -100746/13"], "final_answer": "-100746/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 1320) + 81173 = -2413", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 1320, \"c\": 81173, \"d\": -2413}", "seed": "11254680568066908729", "semantic_fingerprint": "sha256:8fcf555a7afefdef641c56e80fe3ed4d92aaae971d8a1f0a40848f950f2b7a08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002429", "prompt": "What value of x satisfies 13(x + 55674) = 32(x + 9204) - 79545?", "solution_steps": ["Expand: 13x + 723762 = 32(x + 9204) - 79545", "Expand: 13x + 723762 = 32x + 294528 - 79545", "Combine constants: 13x + 723762 = 32x + 214983", "Subtract 32x from both sides: -19x + 723762 = 214983", "Subtract 723762 from both sides: -19x = -508779", "Divide both sides by -19: x = 508779/19"], "final_answer": "508779/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 55674) = 32(x + 9204) - 79545", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 55674, \"c\": 32, \"d\": 9204, \"e\": 79545}", "seed": "3991877581649620200", "semantic_fingerprint": "sha256:93133803cdeb81a00f410cc72a58e40d4b98773a5e900b8a0c79d5e8cb42634e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002430", "prompt": "Solve the equation 13x = x + 2004 for x.", "solution_steps": ["Subtract x from both sides: 12x = 2004", "Divide both sides by 12: x = 167"], "final_answer": "167", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x = x + 2004", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"c\": 2004, \"x\": 167}", "seed": "14799067240141971360", "semantic_fingerprint": "sha256:f868453840d00089ea0707a7bbf15c33ae891e5db76d9bc47c7913bcdb8ad558", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002431", "prompt": "Compute: -3996 / (9276 + 7010) * 9406", "solution_steps": ["Add: 9276 + 7010 = 16286", "Divide: -3996 / 16286 = -1998/8143", "Multiply: (-1998/8143) * 9406 = -18793188/8143"], "final_answer": "-18793188/8143", "answer_type": "rational", "kind": "expression", "math_text": "-3996 / (9276 + 7010) * 9406", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3996, \"b\": 9276, \"c\": 7010, \"d\": 9406}", "seed": "2054127171750697789", "semantic_fingerprint": "sha256:8a37908f32aac6ad994d52bd3dbd349d08513e2009e609437fd618faa8e1c115", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002432", "prompt": "What is (1575 + (-35834) * (-9475)) / 8085?", "solution_steps": ["Multiply: -35834 * (-9475) = 339527150", "Add: 1575 + 339527150 = 339528725", "Divide: 339528725 / 8085 = 67905745/1617"], "final_answer": "67905745/1617", "answer_type": "rational", "kind": "expression", "math_text": "(1575 + (-35834) * (-9475)) / 8085", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1575, \"b\": -35834, \"c\": -9475, \"d\": 8085}", "seed": "13747717991677183604", "semantic_fingerprint": "sha256:6bf69ace6dc188874c18a4d86f596962c8bb39acc1c84f5fa41424ae2f280903", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002433", "prompt": "What value of x satisfies -18(x - 1131) - 9145 = 28(x - 1189) + 47495?", "solution_steps": ["Expand: -18x + 20358 - 9145 = 28(x - 1189) + 47495", "Expand: -18x + 20358 - 9145 = 28x - 33292 + 47495", "Combine constants: -18x + 11213 = 28x - 33292 + 47495", "Combine constants: -18x + 11213 = 28x + 14203", "Subtract 28x from both sides: -46x + 11213 = 14203", "Subtract 11213 from both sides: -46x = 2990", "Divide both sides by -46: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 1131) - 9145 = 28(x - 1189) + 47495", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 1131, \"c\": 9145, \"d\": 28, \"e\": 1189, \"g\": 47495, \"x\": -65}", "seed": "6777406377919767141", "semantic_fingerprint": "sha256:f3074978272330f2de27b490a741c6d387188fb36f35f40253c063a3b074eb05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002434", "prompt": "What is 67777 * (8528 + (-5588)) + 9383 * (-5958)?", "solution_steps": ["Add: 8528 + (-5588) = 2940", "Multiply: 67777 * 2940 = 199264380", "Multiply: 9383 * (-5958) = -55903914", "Add: 199264380 + (-55903914) = 143360466"], "final_answer": "143360466", "answer_type": "integer", "kind": "expression", "math_text": "67777 * (8528 + (-5588)) + 9383 * (-5958)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 67777, \"b\": 8528, \"c\": -5588, \"d\": 9383, \"e\": -5958}", "seed": "17946752379421078269", "semantic_fingerprint": "sha256:0179ef16025acc424c399537d8e0de90ea035b9237c9cb2f4f3ae0a5557167ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002435", "prompt": "Solve the equation x = 40(x - 5876) - 1730 for x.", "solution_steps": ["Expand: x = 40x - 235040 - 1730", "Combine constants: x = 40x - 236770", "Subtract 40x from both sides: -39x = -236770", "Divide both sides by -39: x = 236770/39"], "final_answer": "236770/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 40(x - 5876) - 1730", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 5876, \"c\": 1730}", "seed": "16396812120213416237", "semantic_fingerprint": "sha256:d3c9254218fe256cd716b0767e0c515f7c7fedc5ee162a2050b34f434e0ae814", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002436", "prompt": "Solve for x: -20(x - 5185) - 41694 = 29(x + 3878) - 44184", "solution_steps": ["Expand: -20x + 103700 - 41694 = 29(x + 3878) - 44184", "Expand: -20x + 103700 - 41694 = 29x + 112462 - 44184", "Combine constants: -20x + 62006 = 29x + 112462 - 44184", "Combine constants: -20x + 62006 = 29x + 68278", "Subtract 29x from both sides: -49x + 62006 = 68278", "Subtract 62006 from both sides: -49x = 6272", "Divide both sides by -49: x = -128"], "final_answer": "-128", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20(x - 5185) - 41694 = 29(x + 3878) - 44184", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 5185, \"c\": 41694, \"d\": 29, \"e\": 3878, \"g\": -44184, \"x\": -128}", "seed": "10198227859863747669", "semantic_fingerprint": "sha256:91b05778b41baf70e174a4b578a37c7a20da83a68d4384389385ba23d64fb3b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002437", "prompt": "Compute: 87564 + (5304 - (-7512))", "solution_steps": ["Subtract: 5304 - (-7512) = 12816", "Add: 87564 + 12816 = 100380"], "final_answer": "100380", "answer_type": "integer", "kind": "expression", "math_text": "87564 + (5304 - (-7512))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 87564, \"b\": 5304, \"c\": -7512}", "seed": "2564414977187600025", "semantic_fingerprint": "sha256:a7d56ffeacd1ef144082f9f2a49078e7bca2c317144b2dc07519401a37b74cf6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002438", "prompt": "What value of x satisfies x - 9087 = -26(x - 2598) - 78093?", "solution_steps": ["Expand: x - 9087 = -26x + 67548 - 78093", "Combine constants: x - 9087 = -26x - 10545", "Add 26x to both sides: 27x - 9087 = -10545", "Add 9087 to both sides: 27x = -1458", "Divide both sides by 27: x = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9087 = -26(x - 2598) - 78093", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9087, \"b\": -26, \"c\": 2598, \"e\": -78093, \"x\": -54}", "seed": "13097241728312452936", "semantic_fingerprint": "sha256:c9d955096d1dd84f408d6e224e38f0b4cf448cf93ef46fb771f99d70b75626c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002439", "prompt": "Calculate: 3816 * (-69234) - (24401 + 9195 - (-9574)) * 74029", "solution_steps": ["Multiply: 3816 * (-69234) = -264196944", "Add: 24401 + 9195 = 33596", "Subtract: 33596 - (-9574) = 43170", "Multiply: 43170 * 74029 = 3195831930", "Subtract: -264196944 - 3195831930 = -3460028874"], "final_answer": "-3460028874", "answer_type": "integer", "kind": "expression", "math_text": "3816 * (-69234) - (24401 + 9195 - (-9574)) * 74029", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (- (+ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3816, \"b\": -69234, \"c\": 24401, \"d\": 9195, \"e\": -9574, \"f\": 74029}", "seed": "6516432236385642525", "semantic_fingerprint": "sha256:1b02861d73f9479202f31ce431482c0005de6f1d78fe06061655ea01d28af4fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002440", "prompt": "Calculate: -3884 / (45732 + (-22827 - 2501))", "solution_steps": ["Subtract: -22827 - 2501 = -25328", "Add: 45732 + (-25328) = 20404", "Divide: -3884 / 20404 = -971/5101"], "final_answer": "-971/5101", "answer_type": "rational", "kind": "expression", "math_text": "-3884 / (45732 + (-22827 - 2501))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3884, \"b\": 45732, \"c\": -22827, \"d\": 2501}", "seed": "1691709541097023679", "semantic_fingerprint": "sha256:9c63a0d1802fc2d4e568619dc6ef5a740535197c04be8530a60c72cdd34b8309", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002441", "prompt": "Calculate: -9447 * 32843 + 11230", "solution_steps": ["Multiply: -9447 * 32843 = -310267821", "Add: -310267821 + 11230 = -310256591"], "final_answer": "-310256591", "answer_type": "integer", "kind": "expression", "math_text": "-9447 * 32843 + 11230", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9447, \"b\": 32843, \"c\": 11230}", "seed": "1073596170728309250", "semantic_fingerprint": "sha256:6d1dfb6ea679fb1aeef66a5622dfbd9d2ff30173b28b4057d76144f60b244e1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002442", "prompt": "Calculate: -5186 / (78607 - 8733)", "solution_steps": ["Subtract: 78607 - 8733 = 69874", "Divide: -5186 / 69874 = -2593/34937"], "final_answer": "-2593/34937", "answer_type": "rational", "kind": "expression", "math_text": "-5186 / (78607 - 8733)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5186, \"b\": 78607, \"c\": 8733}", "seed": "7579351747420105362", "semantic_fingerprint": "sha256:485771d6c346d4cc22c9b8496d66908384daba61a0a68daf5279b30dfb4e24a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002443", "prompt": "Compute: (83149 + (81305 + (-42218)) + (-6081)) / (79027 + 3440)", "solution_steps": ["Add: 81305 + (-42218) = 39087", "Add: 83149 + 39087 = 122236", "Add: 122236 + (-6081) = 116155", "Add: 79027 + 3440 = 82467", "Divide: 116155 / 82467 = 116155/82467"], "final_answer": "116155/82467", "answer_type": "rational", "kind": "expression", "math_text": "(83149 + (81305 + (-42218)) + (-6081)) / (79027 + 3440)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 83149, \"b\": 81305, \"c\": -42218, \"d\": -6081, \"e\": 79027, \"f\": 3440}", "seed": "7726750042006998744", "semantic_fingerprint": "sha256:c3f420f1d60b28d857c632f4c726b270bfc30cbe27c5c4f1c0de30c8b32a2be9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002444", "prompt": "Evaluate: -9669 * (4029 + 6806) * (-1788 / (-5072))", "solution_steps": ["Add: 4029 + 6806 = 10835", "Multiply: -9669 * 10835 = -104763615", "Divide: -1788 / (-5072) = 447/1268", "Multiply: -104763615 * (447/1268) = -46829335905/1268"], "final_answer": "-46829335905/1268", "answer_type": "rational", "kind": "expression", "math_text": "-9669 * (4029 + 6806) * (-1788 / (-5072))", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9669, \"b\": 4029, \"c\": 6806, \"d\": -1788, \"e\": -5072}", "seed": "17139242128754886651", "semantic_fingerprint": "sha256:2e07933b83f5168895dd78653b715416a7edf41bf32ee12eb933093bff61fd6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002445", "prompt": "What is -33074 / (-9150) - (-5802) + 5741?", "solution_steps": ["Divide: -33074 / (-9150) = 16537/4575", "Subtract: 16537/4575 - (-5802) = 26560687/4575", "Add: 26560687/4575 + 5741 = 52825762/4575"], "final_answer": "52825762/4575", "answer_type": "rational", "kind": "expression", "math_text": "-33074 / (-9150) - (-5802) + 5741", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33074, \"b\": -9150, \"c\": -5802, \"d\": 5741}", "seed": "2975285437742124552", "semantic_fingerprint": "sha256:69c835d368e47635e416080ca7235b281d0e72adaae82c5ee8d7939ed1d4848a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002446", "prompt": "Solve the equation 17(x + 5449) + 6773 = -24(x - 3872) for x.", "solution_steps": ["Expand: 17x + 92633 + 6773 = -24(x - 3872)", "Expand: 17x + 92633 + 6773 = -24x + 92928", "Combine constants: 17x + 99406 = -24x + 92928", "Add 24x to both sides: 41x + 99406 = 92928", "Subtract 99406 from both sides: 41x = -6478", "Divide both sides by 41: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 5449) + 6773 = -24(x - 3872)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5449, \"c\": -24, \"d\": 3872, \"f\": 6773, \"x\": -158}", "seed": "16019823639658727217", "semantic_fingerprint": "sha256:5f9066a8d1cac9cdf5528121cfb187fb7aa83cc04aaf9d009e68270fa5a6f6e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002447", "prompt": "Calculate: -95770 - 76363 * (-7496) - (43887 + 44402)", "solution_steps": ["Multiply: 76363 * (-7496) = -572417048", "Subtract: -95770 - (-572417048) = 572321278", "Add: 43887 + 44402 = 88289", "Subtract: 572321278 - 88289 = 572232989"], "final_answer": "572232989", "answer_type": "integer", "kind": "expression", "math_text": "-95770 - 76363 * (-7496) - (43887 + 44402)", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -95770, \"b\": 76363, \"c\": -7496, \"d\": 43887, \"e\": 44402}", "seed": "3694578123863650076", "semantic_fingerprint": "sha256:99e12aaa08df73223740018ca3c359e992823ab00fdb521e8c64d71981bbfa83", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002448", "prompt": "Calculate: 34048 - (-1237) - (-2722 - (-6937))", "solution_steps": ["Subtract: 34048 - (-1237) = 35285", "Subtract: -2722 - (-6937) = 4215", "Subtract: 35285 - 4215 = 31070"], "final_answer": "31070", "answer_type": "integer", "kind": "expression", "math_text": "34048 - (-1237) - (-2722 - (-6937))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34048, \"b\": -1237, \"c\": -2722, \"d\": -6937}", "seed": "11408587353381237717", "semantic_fingerprint": "sha256:ad88af31888aa2f4fd92982cdba81fe087669b4988ffc2d1156cc068f72b8a26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002449", "prompt": "Evaluate: -5381 - (-24088 + (-25730) * (6864 + 2705))", "solution_steps": ["Add: 6864 + 2705 = 9569", "Multiply: -25730 * 9569 = -246210370", "Add: -24088 + (-246210370) = -246234458", "Subtract: -5381 - (-246234458) = 246229077"], "final_answer": "246229077", "answer_type": "integer", "kind": "expression", "math_text": "-5381 - (-24088 + (-25730) * (6864 + 2705))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5381, \"b\": -24088, \"c\": -25730, \"d\": 6864, \"e\": 2705}", "seed": "7287701289736604333", "semantic_fingerprint": "sha256:94018e32503d3be02fa5e0d8b50773a8d7e3ad69d54b7298019188b307e24262", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002450", "prompt": "What is 23322 * 3460?", "solution_steps": ["Multiply: 23322 * 3460 = 80694120"], "final_answer": "80694120", "answer_type": "integer", "kind": "expression", "math_text": "23322 * 3460", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 23322, \"b\": 3460}", "seed": "370876260108953831", "semantic_fingerprint": "sha256:97d6636e50d82a1de08d6485242986d9d1c54a6bb628f401dd48965923ead4f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002451", "prompt": "Compute: (-12489 + (-31300)) * (1850 + 36473)", "solution_steps": ["Add: -12489 + (-31300) = -43789", "Add: 1850 + 36473 = 38323", "Multiply: -43789 * 38323 = -1678125847"], "final_answer": "-1678125847", "answer_type": "integer", "kind": "expression", "math_text": "(-12489 + (-31300)) * (1850 + 36473)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -12489, \"b\": -31300, \"c\": 1850, \"d\": 36473}", "seed": "12952000680102694459", "semantic_fingerprint": "sha256:fd9eae7a00681a91d91f2e4e03caeb374c374645fc296dc4fd19adf27b9d03b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002452", "prompt": "What is (-35995 + (-48423)) / (60076 + (4018 + 2148))?", "solution_steps": ["Add: -35995 + (-48423) = -84418", "Add: 4018 + 2148 = 6166", "Add: 60076 + 6166 = 66242", "Divide: -84418 / 66242 = -42209/33121"], "final_answer": "-42209/33121", "answer_type": "rational", "kind": "expression", "math_text": "(-35995 + (-48423)) / (60076 + (4018 + 2148))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35995, \"b\": -48423, \"c\": 60076, \"d\": 4018, \"e\": 2148}", "seed": "10766350669721393995", "semantic_fingerprint": "sha256:f1f82d975dd9458ce254a83e17f8674dc35b31026ebecc7bf110ff1d9f01be33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002453", "prompt": "Find x: 33(x - 2093) + 11898 = -58557", "solution_steps": ["Expand: 33x - 69069 + 11898 = -58557", "Combine constants: 33x - 57171 = -58557", "Add 57171 to both sides: 33x = -1386", "Divide both sides by 33: x = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 2093) + 11898 = -58557", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 2093, \"c\": 11898, \"e\": -58557, \"x\": -42}", "seed": "5585315390877002666", "semantic_fingerprint": "sha256:619d11477bff284a6993d005ef7371dc1bf70f33d230c51a0a1aa50a405f6fbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002454", "prompt": "Evaluate: 18854 * (-45361)", "solution_steps": ["Multiply: 18854 * (-45361) = -855236294"], "final_answer": "-855236294", "answer_type": "integer", "kind": "expression", "math_text": "18854 * (-45361)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 18854, \"b\": -45361}", "seed": "8189300897292772360", "semantic_fingerprint": "sha256:22059c66eb6b96c2cb357f8b1ea5c58e349a70adc3286f9a3a9e8eca51a2e2f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002455", "prompt": "Find x: -24(x + 67708) = 14(x - 7724)", "solution_steps": ["Expand: -24x - 1624992 = 14(x - 7724)", "Expand: -24x - 1624992 = 14x - 108136", "Subtract 14x from both sides: -38x - 1624992 = -108136", "Add 1624992 to both sides: -38x = 1516856", "Divide both sides by -38: x = -758428/19"], "final_answer": "-758428/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x + 67708) = 14(x - 7724)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 67708, \"c\": 14, \"d\": 7724}", "seed": "8917935111408401993", "semantic_fingerprint": "sha256:bda40ec32adaf26518e6e9938c448bde3022df02913063e6c07e6b9a8c68488a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002456", "prompt": "Evaluate: (7862 - (-62974)) * (-13127)", "solution_steps": ["Subtract: 7862 - (-62974) = 70836", "Multiply: 70836 * (-13127) = -929864172"], "final_answer": "-929864172", "answer_type": "integer", "kind": "expression", "math_text": "(7862 - (-62974)) * (-13127)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7862, \"b\": -62974, \"c\": -13127}", "seed": "1995635988240705829", "semantic_fingerprint": "sha256:a0ed28aa5ccd85b8ddce4fa786d8732e6300f8149602f8545007c10a507e0e0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002457", "prompt": "Find x: x + 2720 = 33x", "solution_steps": ["Subtract 33x from both sides: -32x + 2720 = 0", "Subtract 2720 from both sides: -32x = -2720", "Divide both sides by -32: x = 85"], "final_answer": "85", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2720 = 33x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 2720, \"x\": 85}", "seed": "16224036688507159697", "semantic_fingerprint": "sha256:27f7e6db9c2b4b3b9bd1d65ad3549b0eb66204092563c07d09c2a1f4c668225c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002458", "prompt": "What is 4428 / (-8808)?", "solution_steps": ["Divide: 4428 / (-8808) = -369/734"], "final_answer": "-369/734", "answer_type": "rational", "kind": "expression", "math_text": "4428 / (-8808)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4428, \"b\": -8808}", "seed": "9798248201320784878", "semantic_fingerprint": "sha256:e39ef45220b7622f9360cca1fab79698b508420b3a6f563dbb9ff4d6f7aecc01", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002459", "prompt": "Evaluate: 3188 - (-7982 + 25322 * (-4980))", "solution_steps": ["Multiply: 25322 * (-4980) = -126103560", "Add: -7982 + (-126103560) = -126111542", "Subtract: 3188 - (-126111542) = 126114730"], "final_answer": "126114730", "answer_type": "integer", "kind": "expression", "math_text": "3188 - (-7982 + 25322 * (-4980))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3188, \"b\": -7982, \"c\": 25322, \"d\": -4980}", "seed": "11913979195056540729", "semantic_fingerprint": "sha256:cf71a48038140f719e7ec4af952aa6ec057bae99639be61f13ba9fe8a3a0cee6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002460", "prompt": "Compute: 27713 / (-2974)", "solution_steps": ["Divide: 27713 / (-2974) = -27713/2974"], "final_answer": "-27713/2974", "answer_type": "rational", "kind": "expression", "math_text": "27713 / (-2974)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27713, \"b\": -2974}", "seed": "18251533202270335328", "semantic_fingerprint": "sha256:0dba2b5e954d7b1c93a1a252cc4e0cda1cb64857b9638a852b20fee83978985b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002461", "prompt": "What value of x satisfies 31x - 3060 = x?", "solution_steps": ["Subtract x from both sides: 30x - 3060 = 0", "Add 3060 to both sides: 30x = 3060", "Divide both sides by 30: x = 102"], "final_answer": "102", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x - 3060 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -3060, \"x\": 102}", "seed": "5879620068442830068", "semantic_fingerprint": "sha256:37f2d302801438e512c482440b18b77298cb858648ee0d252821098a06d88ae4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002462", "prompt": "Evaluate: -89686 - (-40808 - (-5845))", "solution_steps": ["Subtract: -40808 - (-5845) = -34963", "Subtract: -89686 - (-34963) = -54723"], "final_answer": "-54723", "answer_type": "integer", "kind": "expression", "math_text": "-89686 - (-40808 - (-5845))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -89686, \"b\": -40808, \"c\": -5845}", "seed": "9415961660544920885", "semantic_fingerprint": "sha256:0fe3b2c04f317e3faf23507326dc49efef0f7ea97f636407b2c08a419e4ee398", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002463", "prompt": "Compute: -90331 * (74512 + (-27703))", "solution_steps": ["Add: 74512 + (-27703) = 46809", "Multiply: -90331 * 46809 = -4228303779"], "final_answer": "-4228303779", "answer_type": "integer", "kind": "expression", "math_text": "-90331 * (74512 + (-27703))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -90331, \"b\": 74512, \"c\": -27703}", "seed": "1737189941061383349", "semantic_fingerprint": "sha256:890da8b17cd2554c3eba1c1f8e1b463e6afff1167e2853020e3b1dd112e267f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002464", "prompt": "Compute: -24193 - (2454 + (-30997))", "solution_steps": ["Add: 2454 + (-30997) = -28543", "Subtract: -24193 - (-28543) = 4350"], "final_answer": "4350", "answer_type": "integer", "kind": "expression", "math_text": "-24193 - (2454 + (-30997))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24193, \"b\": 2454, \"c\": -30997}", "seed": "14171382069684567881", "semantic_fingerprint": "sha256:fb34d4a19b8debe61e9c35874b3eb06343782a2ad460a87147669fed39feba44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002465", "prompt": "Find x: 35(x - 4149) - 5683 = 16(x + 84592) - 5073", "solution_steps": ["Expand: 35x - 145215 - 5683 = 16(x + 84592) - 5073", "Expand: 35x - 145215 - 5683 = 16x + 1353472 - 5073", "Combine constants: 35x - 150898 = 16x + 1353472 - 5073", "Combine constants: 35x - 150898 = 16x + 1348399", "Subtract 16x from both sides: 19x - 150898 = 1348399", "Add 150898 to both sides: 19x = 1499297", "Divide both sides by 19: x = 1499297/19"], "final_answer": "1499297/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 4149) - 5683 = 16(x + 84592) - 5073", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4149, \"c\": 5683, \"d\": 16, \"e\": 84592, \"f\": 5073}", "seed": "11800768455527913587", "semantic_fingerprint": "sha256:add4ec5bd74208b0f665dff61e5b3a94a4087a2e7c0f6a0e1adb3cc7ef33e484", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002466", "prompt": "Find x: 19(x + 88711) - 9598 = x", "solution_steps": ["Expand: 19x + 1685509 - 9598 = x", "Combine constants: 19x + 1675911 = x", "Subtract x from both sides: 18x + 1675911 = 0", "Subtract 1675911 from both sides: 18x = -1675911", "Divide both sides by 18: x = -558637/6"], "final_answer": "-558637/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 88711) - 9598 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 88711, \"c\": 9598}", "seed": "1325333679588442445", "semantic_fingerprint": "sha256:4258082a62ffc80e76ed52531a72f67af3fbc3daa5713533d79ed9be95bc82d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002467", "prompt": "Evaluate: -30643 / 3262", "solution_steps": ["Divide: -30643 / 3262 = -30643/3262"], "final_answer": "-30643/3262", "answer_type": "rational", "kind": "expression", "math_text": "-30643 / 3262", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30643, \"b\": 3262}", "seed": "7602535444799136528", "semantic_fingerprint": "sha256:d56a8cac5558c7c9e38af308ee4b989fd871b6e82c0ddb94bada43638e9ebc62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002468", "prompt": "Compute: 9451 * (-25394) + (-49049)", "solution_steps": ["Multiply: 9451 * (-25394) = -239998694", "Add: -239998694 + (-49049) = -240047743"], "final_answer": "-240047743", "answer_type": "integer", "kind": "expression", "math_text": "9451 * (-25394) + (-49049)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9451, \"b\": -25394, \"c\": -49049}", "seed": "6330912329808282889", "semantic_fingerprint": "sha256:22046aab41968af9de340d42386553877ca2ea800923ce1d9bd4feb5debf272a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002469", "prompt": "Calculate: -9078 / 8809", "solution_steps": ["Divide: -9078 / 8809 = -9078/8809"], "final_answer": "-9078/8809", "answer_type": "rational", "kind": "expression", "math_text": "-9078 / 8809", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9078, \"b\": 8809}", "seed": "18061768709275298223", "semantic_fingerprint": "sha256:0240be2eb2bb1b79105b06adad901fa98c7d237c9cd2f18391cb649b0ecae7fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002470", "prompt": "Compute: -2054 - 67814 - (-7455) / 3869", "solution_steps": ["Subtract: -2054 - 67814 = -69868", "Divide: -7455 / 3869 = -7455/3869", "Subtract: -69868 - (-7455/3869) = -270311837/3869"], "final_answer": "-270311837/3869", "answer_type": "rational", "kind": "expression", "math_text": "-2054 - 67814 - (-7455) / 3869", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2054, \"b\": 67814, \"c\": -7455, \"d\": 3869}", "seed": "4751387063268190898", "semantic_fingerprint": "sha256:b1a87a539b9b438de74d1cd141982683c30d087714c94b483d96dbcd1bae8243", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002471", "prompt": "Evaluate: -9207 + (-2711) - 5090 * 3555", "solution_steps": ["Add: -9207 + (-2711) = -11918", "Multiply: 5090 * 3555 = 18094950", "Subtract: -11918 - 18094950 = -18106868"], "final_answer": "-18106868", "answer_type": "integer", "kind": "expression", "math_text": "-9207 + (-2711) - 5090 * 3555", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9207, \"b\": -2711, \"c\": 5090, \"d\": 3555}", "seed": "6598453380350698402", "semantic_fingerprint": "sha256:503985a6d5e4ff00d58697b3d330a850de0ab7eed9a720a02c03026460c960d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002472", "prompt": "What is (-1063 - (-16904) + 74949) / (-6191)?", "solution_steps": ["Subtract: -1063 - (-16904) = 15841", "Add: 15841 + 74949 = 90790", "Divide: 90790 / (-6191) = -90790/6191"], "final_answer": "-90790/6191", "answer_type": "rational", "kind": "expression", "math_text": "(-1063 - (-16904) + 74949) / (-6191)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1063, \"b\": -16904, \"c\": 74949, \"d\": -6191}", "seed": "4138472437728025807", "semantic_fingerprint": "sha256:4fa1364d84fb900cd0fc66fa4eb95cf9fc27f861950b9818bc2a647346002cfe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002473", "prompt": "Calculate: 78911 + (51003 + 65546 + (-68285))", "solution_steps": ["Add: 51003 + 65546 = 116549", "Add: 116549 + (-68285) = 48264", "Add: 78911 + 48264 = 127175"], "final_answer": "127175", "answer_type": "integer", "kind": "expression", "math_text": "78911 + (51003 + 65546 + (-68285))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78911, \"b\": 51003, \"c\": 65546, \"d\": -68285}", "seed": "15950147653938499945", "semantic_fingerprint": "sha256:f36f50c108ff9fc89436892083d78ec53bfe6fc2a40c0216b1653a8d360007a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002474", "prompt": "Solve the equation 20(x - 1914) + 4894 = x + 2460 for x.", "solution_steps": ["Expand: 20x - 38280 + 4894 = x + 2460", "Combine constants: 20x - 33386 = x + 2460", "Subtract x from both sides: 19x - 33386 = 2460", "Add 33386 to both sides: 19x = 35846", "Divide both sides by 19: x = 35846/19"], "final_answer": "35846/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 1914) + 4894 = x + 2460", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1914, \"c\": 4894, \"d\": 2460}", "seed": "11068288459068667999", "semantic_fingerprint": "sha256:b25c316e8bc0c14f7c48c26061df926279df9c813aee73207683901aff6ab89f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002475", "prompt": "Evaluate: 62625 / 2406", "solution_steps": ["Divide: 62625 / 2406 = 20875/802"], "final_answer": "20875/802", "answer_type": "rational", "kind": "expression", "math_text": "62625 / 2406", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 62625, \"b\": 2406}", "seed": "5503732560189918847", "semantic_fingerprint": "sha256:3776849389c83aa6d0514efd976c9c431dbfcae73f070b0aec2671e7ed420408", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002476", "prompt": "Solve the equation x = 15x - 3387 for x.", "solution_steps": ["Subtract 15x from both sides: -14x = -3387", "Divide both sides by -14: x = 3387/14"], "final_answer": "3387/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 15x - 3387", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 3387}", "seed": "18117040667660751243", "semantic_fingerprint": "sha256:c3736c5ed7d76fe836df67c91653db838f23c4b1efa0f1dc60a53421d62e2bee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002477", "prompt": "What is -20312 - (51982 * (-4963) - (-3882) * 8873)?", "solution_steps": ["Multiply: 51982 * (-4963) = -257986666", "Multiply: -3882 * 8873 = -34444986", "Subtract: -257986666 - (-34444986) = -223541680", "Subtract: -20312 - (-223541680) = 223521368"], "final_answer": "223521368", "answer_type": "integer", "kind": "expression", "math_text": "-20312 - (51982 * (-4963) - (-3882) * 8873)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20312, \"b\": 51982, \"c\": -4963, \"d\": -3882, \"e\": 8873}", "seed": "13361210785393871262", "semantic_fingerprint": "sha256:271f453c50d086834c51b7b140f7f63c5fd26fa3973f4132979e7d5fba1e950c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002478", "prompt": "Compute: 6815 * (-3572)", "solution_steps": ["Multiply: 6815 * (-3572) = -24343180"], "final_answer": "-24343180", "answer_type": "integer", "kind": "expression", "math_text": "6815 * (-3572)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6815, \"b\": -3572}", "seed": "15303270360886018833", "semantic_fingerprint": "sha256:c592b331bcbb3a5b230872108586d9feb75180ae560742f4857de8b448ea9676", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002479", "prompt": "Find x: -28x - 1064 = -21x", "solution_steps": ["Add 21x to both sides: -7x - 1064 = 0", "Add 1064 to both sides: -7x = 1064", "Divide both sides by -7: x = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "linear_equation", "math_text": "-28x - 1064 = -21x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": -21, \"d\": -1064, \"x\": -152}", "seed": "9200874972678801564", "semantic_fingerprint": "sha256:9148da28542ec3b03b3114c61128955015ab159c6e0684e2ca39ff0744159569", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002480", "prompt": "Evaluate: 3407 * (-3726) + 3065", "solution_steps": ["Multiply: 3407 * (-3726) = -12694482", "Add: -12694482 + 3065 = -12691417"], "final_answer": "-12691417", "answer_type": "integer", "kind": "expression", "math_text": "3407 * (-3726) + 3065", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3407, \"b\": -3726, \"c\": 3065}", "seed": "9590618392507154359", "semantic_fingerprint": "sha256:39d713a0c0a16e63cb7bbe3ba7f471ce0795b19d48ec51dbbad6bb8cd45809f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002481", "prompt": "What value of x satisfies x = 35x - 5168?", "solution_steps": ["Subtract 35x from both sides: -34x = -5168", "Divide both sides by -34: x = 152"], "final_answer": "152", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 35x - 5168", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"c\": -5168, \"x\": 152}", "seed": "662258250864235348", "semantic_fingerprint": "sha256:0025a315cb7c5b460ccba77cb8d184626bb4e0d4980547697ed6898d2feda27b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002482", "prompt": "Evaluate: -53002 - 3968 / (-2888)", "solution_steps": ["Divide: 3968 / (-2888) = -496/361", "Subtract: -53002 - (-496/361) = -19133226/361"], "final_answer": "-19133226/361", "answer_type": "rational", "kind": "expression", "math_text": "-53002 - 3968 / (-2888)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53002, \"b\": 3968, \"c\": -2888}", "seed": "9750597182711635000", "semantic_fingerprint": "sha256:32f2baf8d3a39d7e846ba56be901bbff8684034becbbdc83a6abd73d0158753e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002483", "prompt": "What value of x satisfies x - 74617 = -74526?", "solution_steps": ["Add 74617 to both sides: x = 91"], "final_answer": "91", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 74617 = -74526", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 74617, \"c\": -74526, \"x\": 91}", "seed": "8053070744992094048", "semantic_fingerprint": "sha256:a88e2294fd8255245764e55990d304c0de2b1f92ba160ce9c64e895209a85506", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002484", "prompt": "Calculate: -92528 - (-6630) - 54915 + 53510", "solution_steps": ["Subtract: -92528 - (-6630) = -85898", "Subtract: -85898 - 54915 = -140813", "Add: -140813 + 53510 = -87303"], "final_answer": "-87303", "answer_type": "integer", "kind": "expression", "math_text": "-92528 - (-6630) - 54915 + 53510", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -92528, \"b\": -6630, \"c\": 54915, \"d\": 53510}", "seed": "5288696600967805998", "semantic_fingerprint": "sha256:29db3a7c8553589628ef8c94d1f74aa543ce0cd417adcc48f4c32354055f23e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002485", "prompt": "What value of x satisfies 20(x + 36823) = x?", "solution_steps": ["Expand: 20x + 736460 = x", "Subtract x from both sides: 19x + 736460 = 0", "Subtract 736460 from both sides: 19x = -736460", "Divide both sides by 19: x = -736460/19"], "final_answer": "-736460/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 36823) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 36823}", "seed": "3304285979935112984", "semantic_fingerprint": "sha256:4d3737a68b22991d76f1d3d75e3ac0f6c59edae6edb91e9c8b92541495baf8e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002486", "prompt": "Evaluate: (2796 - 38882) * 76082", "solution_steps": ["Subtract: 2796 - 38882 = -36086", "Multiply: -36086 * 76082 = -2745495052"], "final_answer": "-2745495052", "answer_type": "integer", "kind": "expression", "math_text": "(2796 - 38882) * 76082", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2796, \"b\": 38882, \"c\": 76082}", "seed": "12963907831451175350", "semantic_fingerprint": "sha256:94629268d5860de46ccf0f729c5d6e377619a763284f0aa42752df3a64176bcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002487", "prompt": "What is 78097 + (4518 - 48627) - 3914 - (-7255)?", "solution_steps": ["Subtract: 4518 - 48627 = -44109", "Add: 78097 + (-44109) = 33988", "Subtract: 33988 - 3914 = 30074", "Subtract: 30074 - (-7255) = 37329"], "final_answer": "37329", "answer_type": "integer", "kind": "expression", "math_text": "78097 + (4518 - 48627) - 3914 - (-7255)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 78097, \"b\": 4518, \"c\": 48627, \"d\": 3914, \"e\": -7255}", "seed": "11645358625002444107", "semantic_fingerprint": "sha256:90a41c7dbed43bbe0b8aaf08802c687eabe5d4a1a3964ddde05d3520a69d707f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002488", "prompt": "Compute: 46398 * (-27310 + (-5305))", "solution_steps": ["Add: -27310 + (-5305) = -32615", "Multiply: 46398 * (-32615) = -1513270770"], "final_answer": "-1513270770", "answer_type": "integer", "kind": "expression", "math_text": "46398 * (-27310 + (-5305))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46398, \"b\": -27310, \"c\": -5305}", "seed": "15951337516159577820", "semantic_fingerprint": "sha256:b6333e6761fd80790e5a67248628843867ebcdaaf22b4f05983adbe80a39f283", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002489", "prompt": "What value of x satisfies 18x + 12861 = 36x - 50190?", "solution_steps": ["Subtract 36x from both sides: -18x + 12861 = -50190", "Subtract 12861 from both sides: -18x = -63051", "Divide both sides by -18: x = 21017/6"], "final_answer": "21017/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x + 12861 = 36x - 50190", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 12861, \"c\": 36, \"d\": 50190}", "seed": "16970331837764973214", "semantic_fingerprint": "sha256:ad9b2656e26ab83613349efa1b0305652dffb5ce05aed54291f8640c713fc34b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002490", "prompt": "Calculate: (60290 + 11492) / (-4687) * 6284", "solution_steps": ["Add: 60290 + 11492 = 71782", "Divide: 71782 / (-4687) = -71782/4687", "Multiply: (-71782/4687) * 6284 = -451078088/4687"], "final_answer": "-451078088/4687", "answer_type": "rational", "kind": "expression", "math_text": "(60290 + 11492) / (-4687) * 6284", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60290, \"b\": 11492, \"c\": -4687, \"d\": 6284}", "seed": "9807448665723340450", "semantic_fingerprint": "sha256:cd77e422cd94f7f38a281f3f213324eb914a48736dc2316de9f78645d533fa4b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002491", "prompt": "Evaluate: 32009 + (-9154) + (42821 + (-13448)) / (-2886)", "solution_steps": ["Add: 32009 + (-9154) = 22855", "Add: 42821 + (-13448) = 29373", "Divide: 29373 / (-2886) = -9791/962", "Add: 22855 + (-9791/962) = 21976719/962"], "final_answer": "21976719/962", "answer_type": "rational", "kind": "expression", "math_text": "32009 + (-9154) + (42821 + (-13448)) / (-2886)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32009, \"b\": -9154, \"c\": 42821, \"d\": -13448, \"e\": -2886}", "seed": "9309011077108951707", "semantic_fingerprint": "sha256:8717c2e85cf1134ef3d2b91cf431ca02ae260f8d3a8ba0fa2eb72ff17017001c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002492", "prompt": "What value of x satisfies 35(x + 9235) = -17x?", "solution_steps": ["Expand: 35x + 323225 = -17x", "Add 17x to both sides: 52x + 323225 = 0", "Subtract 323225 from both sides: 52x = -323225", "Divide both sides by 52: x = -323225/52"], "final_answer": "-323225/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 9235) = -17x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 9235, \"c\": -17}", "seed": "13213687509198515174", "semantic_fingerprint": "sha256:f7ef8275553964806d6deb42a56135037076328f90be39cff5d045344fa96044", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002493", "prompt": "What is (-40308 - 7622) / (-9356 / 95785)?", "solution_steps": ["Subtract: -40308 - 7622 = -47930", "Divide: -9356 / 95785 = -9356/95785", "Divide: -47930 / (-9356/95785) = 2295487525/4678"], "final_answer": "2295487525/4678", "answer_type": "rational", "kind": "expression", "math_text": "(-40308 - 7622) / (-9356 / 95785)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40308, \"b\": 7622, \"c\": -9356, \"d\": 95785}", "seed": "1166681842608976286", "semantic_fingerprint": "sha256:3163daceb44bf709ba1315dce2bf503383dabf58772b1c4b15de55c70e2744c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002494", "prompt": "Evaluate: -9554 + 98560 / (-14532) + (-64672)", "solution_steps": ["Divide: 98560 / (-14532) = -3520/519", "Add: -9554 + (-3520/519) = -4962046/519", "Add: -4962046/519 + (-64672) = -38526814/519"], "final_answer": "-38526814/519", "answer_type": "rational", "kind": "expression", "math_text": "-9554 + 98560 / (-14532) + (-64672)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9554, \"b\": 98560, \"c\": -14532, \"d\": -64672}", "seed": "9728953295144484243", "semantic_fingerprint": "sha256:a59b20572477c284677316e9cfa5d81577e2341821879c5e7a1d3910e6f37790", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002495", "prompt": "Calculate: -91049 - (68536 * (-6044) - (-2726 - 3919) * (-6879))", "solution_steps": ["Multiply: 68536 * (-6044) = -414231584", "Subtract: -2726 - 3919 = -6645", "Multiply: -6645 * (-6879) = 45710955", "Subtract: -414231584 - 45710955 = -459942539", "Subtract: -91049 - (-459942539) = 459851490"], "final_answer": "459851490", "answer_type": "integer", "kind": "expression", "math_text": "-91049 - (68536 * (-6044) - (-2726 - 3919) * (-6879))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n n) (* (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -91049, \"b\": 68536, \"c\": -6044, \"d\": -2726, \"e\": 3919, \"f\": -6879}", "seed": "16466218854380482117", "semantic_fingerprint": "sha256:2648822d37a1e434c1b87c7e7772638223fa5dc7d26eec98a3d194604cc7f3d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002496", "prompt": "Solve for x: x + 4305 = 29(x - 1073)", "solution_steps": ["Expand: x + 4305 = 29x - 31117", "Subtract 29x from both sides: -28x + 4305 = -31117", "Subtract 4305 from both sides: -28x = -35422", "Divide both sides by -28: x = 17711/14"], "final_answer": "17711/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4305 = 29(x - 1073)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4305, \"b\": 29, \"c\": 1073}", "seed": "17185987115836083652", "semantic_fingerprint": "sha256:74fc941846bf9d081ffac0a2397fe323f61d6c8b9d13731a4c4a47a210ccb823", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002497", "prompt": "Evaluate: 75750 - 5588", "solution_steps": ["Subtract: 75750 - 5588 = 70162"], "final_answer": "70162", "answer_type": "integer", "kind": "expression", "math_text": "75750 - 5588", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 75750, \"b\": 5588}", "seed": "2177782085204077783", "semantic_fingerprint": "sha256:2249b00dc8ce87279ee203813e924188b0ad72875f423df68e4d7d5fb3452ab1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002498", "prompt": "Solve the equation 39x = 29(x + 5436) for x.", "solution_steps": ["Expand: 39x = 29x + 157644", "Subtract 29x from both sides: 10x = 157644", "Divide both sides by 10: x = 78822/5"], "final_answer": "78822/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x = 29(x + 5436)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 29, \"c\": 5436}", "seed": "468131892415091925", "semantic_fingerprint": "sha256:2593564026c53acf4045acb53c48bbb9fb59761cc3d4887e39859c97952368db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002499", "prompt": "Evaluate: -84080 / 7395 - (-2489)", "solution_steps": ["Divide: -84080 / 7395 = -16816/1479", "Subtract: -16816/1479 - (-2489) = 3664415/1479"], "final_answer": "3664415/1479", "answer_type": "rational", "kind": "expression", "math_text": "-84080 / 7395 - (-2489)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84080, \"b\": 7395, \"c\": -2489}", "seed": "16217394603855486166", "semantic_fingerprint": "sha256:0ab2dc7599887b72eb22dd9f5657aa4d14c31c0a0260593b94f87258b3ad1d17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002500", "prompt": "Calculate: 4195 + (-70998)", "solution_steps": ["Add: 4195 + (-70998) = -66803"], "final_answer": "-66803", "answer_type": "integer", "kind": "expression", "math_text": "4195 + (-70998)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4195, \"b\": -70998}", "seed": "11717072456686783247", "semantic_fingerprint": "sha256:0337f2d714a18a04bfca240290bd2d7ba2209058dfbb0afa320844e455879f49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002501", "prompt": "Compute: -18905 / (-10496)", "solution_steps": ["Divide: -18905 / (-10496) = 18905/10496"], "final_answer": "18905/10496", "answer_type": "rational", "kind": "expression", "math_text": "-18905 / (-10496)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18905, \"b\": -10496}", "seed": "13329298759673296457", "semantic_fingerprint": "sha256:df49ae764ce940322d56e2fa6015606bd9ceafc8bc72d9cb2048af49f7843abc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002502", "prompt": "Solve for x: -34x = 27x + 2861", "solution_steps": ["Subtract 27x from both sides: -61x = 2861", "Divide both sides by -61: x = -2861/61"], "final_answer": "-2861/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34x = 27x + 2861", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 27, \"c\": 2861}", "seed": "1365628867981787710", "semantic_fingerprint": "sha256:0b544ef1b1956e69230fbd29265b123582563093e0226edb04047760d97ba034", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002503", "prompt": "Find x: x + 82096 = 18x + 80260", "solution_steps": ["Subtract 18x from both sides: -17x + 82096 = 80260", "Subtract 82096 from both sides: -17x = -1836", "Divide both sides by -17: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 82096 = 18x + 80260", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 82096, \"b\": 18, \"d\": 80260, \"x\": 108}", "seed": "17603711093309396881", "semantic_fingerprint": "sha256:5dd33d30f02aea9a1bfb079839300447c3fd62dd3e847472ab662a97a8bc8415", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002504", "prompt": "Calculate: 58564 - (-2262 + (-5693))", "solution_steps": ["Add: -2262 + (-5693) = -7955", "Subtract: 58564 - (-7955) = 66519"], "final_answer": "66519", "answer_type": "integer", "kind": "expression", "math_text": "58564 - (-2262 + (-5693))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 58564, \"b\": -2262, \"c\": -5693}", "seed": "8623644862917389580", "semantic_fingerprint": "sha256:3491297dd12b3941c55e65809276342c2dfda9a78f1e8080c929adcd63bed182", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002505", "prompt": "Calculate: -7785 * (-5792)", "solution_steps": ["Multiply: -7785 * (-5792) = 45090720"], "final_answer": "45090720", "answer_type": "integer", "kind": "expression", "math_text": "-7785 * (-5792)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7785, \"b\": -5792}", "seed": "1839850041267919750", "semantic_fingerprint": "sha256:8b739c8cb95d5cb2c8a9de4daa6c1a50433e58fb5095571f0bde3e294a93a0cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002506", "prompt": "What is -9373 + 7367?", "solution_steps": ["Add: -9373 + 7367 = -2006"], "final_answer": "-2006", "answer_type": "integer", "kind": "expression", "math_text": "-9373 + 7367", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9373, \"b\": 7367}", "seed": "6876039549865307678", "semantic_fingerprint": "sha256:18544e54ae890ca0d0cf32a0eca93968e745eeb506593f77bd27114eb1ce4f75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002507", "prompt": "What is 11879 + (-1752) * 31012?", "solution_steps": ["Multiply: -1752 * 31012 = -54333024", "Add: 11879 + (-54333024) = -54321145"], "final_answer": "-54321145", "answer_type": "integer", "kind": "expression", "math_text": "11879 + (-1752) * 31012", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 11879, \"b\": -1752, \"c\": 31012}", "seed": "2558683794814606510", "semantic_fingerprint": "sha256:f99af9e779c8b46c6ece3d15ec1d3ebb2ec23f175806bd26543180fd17e80ed4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002508", "prompt": "Calculate: -1329 * (-8883 + (-2174 + 44985) * (-6517))", "solution_steps": ["Add: -2174 + 44985 = 42811", "Multiply: 42811 * (-6517) = -278999287", "Add: -8883 + (-278999287) = -279008170", "Multiply: -1329 * (-279008170) = 370801857930"], "final_answer": "370801857930", "answer_type": "integer", "kind": "expression", "math_text": "-1329 * (-8883 + (-2174 + 44985) * (-6517))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (* (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1329, \"b\": -8883, \"c\": -2174, \"d\": 44985, \"e\": -6517}", "seed": "9450331074668487824", "semantic_fingerprint": "sha256:ac67d9d31e86f180d46665257faa742fdb3c595836b0331b60fc7c85e9c5d1b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002509", "prompt": "Find x: x = 37(x - 2137)", "solution_steps": ["Expand: x = 37x - 79069", "Subtract 37x from both sides: -36x = -79069", "Divide both sides by -36: x = 79069/36"], "final_answer": "79069/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x - 2137)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2137}", "seed": "12633229654679269507", "semantic_fingerprint": "sha256:50b04af35cd173b3aff80e85eceb2493b0e89d489cd7e431531d24b892bd8efa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002510", "prompt": "Evaluate: -6736 + 4566 - 1849", "solution_steps": ["Add: -6736 + 4566 = -2170", "Subtract: -2170 - 1849 = -4019"], "final_answer": "-4019", "answer_type": "integer", "kind": "expression", "math_text": "-6736 + 4566 - 1849", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6736, \"b\": 4566, \"c\": 1849}", "seed": "17102771615608342889", "semantic_fingerprint": "sha256:69b9feabb26cfb9765b3f118f036ad1904ab53fdef75d0471ededb2ce1598201", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002511", "prompt": "Calculate: 3344 * (2803 / 92986)", "solution_steps": ["Divide: 2803 / 92986 = 2803/92986", "Multiply: 3344 * (2803/92986) = 246664/2447"], "final_answer": "246664/2447", "answer_type": "rational", "kind": "expression", "math_text": "3344 * (2803 / 92986)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3344, \"b\": 2803, \"c\": 92986}", "seed": "7016763155225907968", "semantic_fingerprint": "sha256:175bad9f195d91dad95be402a99f397543c118ffbe0b9cc3b9d6366b3f2c995d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002512", "prompt": "Find x: x = 31x - 11210", "solution_steps": ["Subtract 31x from both sides: -30x = -11210", "Divide both sides by -30: x = 1121/3"], "final_answer": "1121/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 31x - 11210", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 11210}", "seed": "13967891530887472187", "semantic_fingerprint": "sha256:524fd2e5e89b93909e0ef36dbf8e4f783b09a270f6c93d7d6a743c1b05d012c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002513", "prompt": "Evaluate: 50433 - 7389 * (-92249) + (-5307)", "solution_steps": ["Multiply: 7389 * (-92249) = -681627861", "Subtract: 50433 - (-681627861) = 681678294", "Add: 681678294 + (-5307) = 681672987"], "final_answer": "681672987", "answer_type": "integer", "kind": "expression", "math_text": "50433 - 7389 * (-92249) + (-5307)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 50433, \"b\": 7389, \"c\": -92249, \"d\": -5307}", "seed": "17433822183507730617", "semantic_fingerprint": "sha256:fd7f520554650a4ba86e122acb268cd1dc16c0ea3590b1207ac8c3d4ec742c8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002514", "prompt": "Evaluate: (-33666 - (-5717)) / 4897", "solution_steps": ["Subtract: -33666 - (-5717) = -27949", "Divide: -27949 / 4897 = -27949/4897"], "final_answer": "-27949/4897", "answer_type": "rational", "kind": "expression", "math_text": "(-33666 - (-5717)) / 4897", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33666, \"b\": -5717, \"c\": 4897}", "seed": "4153719659095511364", "semantic_fingerprint": "sha256:da07cd05e38dd117b74d23b28c1522e1e5ee28722b5100b2d75262383ccd55a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002515", "prompt": "Calculate: 57537 / (-20900)", "solution_steps": ["Divide: 57537 / (-20900) = -57537/20900"], "final_answer": "-57537/20900", "answer_type": "rational", "kind": "expression", "math_text": "57537 / (-20900)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57537, \"b\": -20900}", "seed": "5845741681067678617", "semantic_fingerprint": "sha256:baae1f7e9bfb94347ea2ff340313a2adb77fdb53c95aa8fa7ebf71d96c1ea7f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002516", "prompt": "What value of x satisfies x = -21(x - 7180)?", "solution_steps": ["Expand: x = -21x + 150780", "Add 21x to both sides: 22x = 150780", "Divide both sides by 22: x = 75390/11"], "final_answer": "75390/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -21(x - 7180)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 7180}", "seed": "8736734874938364366", "semantic_fingerprint": "sha256:02bfd8cc7a721ad93c1dba78b8d9b3024acef21242f0bae7c1a8cfb1121f5273", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002517", "prompt": "Find x: 15(x - 42830) + 3613 = 14(x + 5755) + 5550", "solution_steps": ["Expand: 15x - 642450 + 3613 = 14(x + 5755) + 5550", "Expand: 15x - 642450 + 3613 = 14x + 80570 + 5550", "Combine constants: 15x - 638837 = 14x + 80570 + 5550", "Combine constants: 15x - 638837 = 14x + 86120", "Subtract 14x from both sides: x - 638837 = 86120", "Add 638837 to both sides: x = 724957"], "final_answer": "724957", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x - 42830) + 3613 = 14(x + 5755) + 5550", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 42830, \"c\": 3613, \"d\": 14, \"e\": 5755, \"f\": 5550}", "seed": "7769303185593656542", "semantic_fingerprint": "sha256:6316bd1bd87ce3bebdb64ff8015e4cd2e63a2897bfabeaabbd7352aee73d3bfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002518", "prompt": "Evaluate: -2330 + (-9308) - (-25780) - (-3225) * 35646", "solution_steps": ["Add: -2330 + (-9308) = -11638", "Subtract: -11638 - (-25780) = 14142", "Multiply: -3225 * 35646 = -114958350", "Subtract: 14142 - (-114958350) = 114972492"], "final_answer": "114972492", "answer_type": "integer", "kind": "expression", "math_text": "-2330 + (-9308) - (-25780) - (-3225) * 35646", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2330, \"b\": -9308, \"c\": -25780, \"d\": -3225, \"e\": 35646}", "seed": "10701253843273721575", "semantic_fingerprint": "sha256:bf6e1b8ed1d70c78eecae358defe74b465f87d2dcfba8d3472ffa6373cf49145", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002519", "prompt": "What is -1733 + (91075 - 67254)?", "solution_steps": ["Subtract: 91075 - 67254 = 23821", "Add: -1733 + 23821 = 22088"], "final_answer": "22088", "answer_type": "integer", "kind": "expression", "math_text": "-1733 + (91075 - 67254)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1733, \"b\": 91075, \"c\": 67254}", "seed": "9651380737929092329", "semantic_fingerprint": "sha256:69fad24ceab00fd2b3fd4c5ed1283c7b395666607f30a6a26364dd2a656d6dab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002520", "prompt": "Calculate: 55851 - 8098 * 7448", "solution_steps": ["Multiply: 8098 * 7448 = 60313904", "Subtract: 55851 - 60313904 = -60258053"], "final_answer": "-60258053", "answer_type": "integer", "kind": "expression", "math_text": "55851 - 8098 * 7448", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 55851, \"b\": 8098, \"c\": 7448}", "seed": "2791912435449345874", "semantic_fingerprint": "sha256:b90da214f5864221831abe5f88dae00e85a95f5eb16c8537a6fdfbfafd3cf052", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002521", "prompt": "What value of x satisfies -35(x - 74408) = -25x?", "solution_steps": ["Expand: -35x + 2604280 = -25x", "Add 25x to both sides: -10x + 2604280 = 0", "Subtract 2604280 from both sides: -10x = -2604280", "Divide both sides by -10: x = 260428"], "final_answer": "260428", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35(x - 74408) = -25x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 74408, \"c\": -25}", "seed": "15800944477090085577", "semantic_fingerprint": "sha256:4d8ab8365d8f66a633c45ee65cd0764d082528be2d2981ba4c2a2829fa0298d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002522", "prompt": "Evaluate: 7402 + (-33807 - 92176)", "solution_steps": ["Subtract: -33807 - 92176 = -125983", "Add: 7402 + (-125983) = -118581"], "final_answer": "-118581", "answer_type": "integer", "kind": "expression", "math_text": "7402 + (-33807 - 92176)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7402, \"b\": -33807, \"c\": 92176}", "seed": "15961224462137284040", "semantic_fingerprint": "sha256:0afa1ccd27796dbf695510d0db3aee261d27328b73a8cc3e082339b9fd31c5bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002523", "prompt": "Evaluate: (-25391 + 4856) / 2164", "solution_steps": ["Add: -25391 + 4856 = -20535", "Divide: -20535 / 2164 = -20535/2164"], "final_answer": "-20535/2164", "answer_type": "rational", "kind": "expression", "math_text": "(-25391 + 4856) / 2164", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25391, \"b\": 4856, \"c\": 2164}", "seed": "768767860148935368", "semantic_fingerprint": "sha256:a9221c134906318f7886099a437bbf72449e88b0eeaa3a938384664860eaeeb7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002524", "prompt": "Compute: 23113 / 41412 * (-90309 * (-5511))", "solution_steps": ["Divide: 23113 / 41412 = 797/1428", "Multiply: -90309 * (-5511) = 497692899", "Multiply: (797/1428) * 497692899 = 132220413501/476"], "final_answer": "132220413501/476", "answer_type": "rational", "kind": "expression", "math_text": "23113 / 41412 * (-90309 * (-5511))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23113, \"b\": 41412, \"c\": -90309, \"d\": -5511}", "seed": "3499824717825543981", "semantic_fingerprint": "sha256:634aea34029915ef0397a2ea06456d6d7e8c26b9e066408a50fb04f11e2ad5ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002525", "prompt": "Find x: -35x - 4196 = x + 1899", "solution_steps": ["Subtract x from both sides: -36x - 4196 = 1899", "Add 4196 to both sides: -36x = 6095", "Divide both sides by -36: x = -6095/36"], "final_answer": "-6095/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35x - 4196 = x + 1899", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 4196, \"c\": 1899}", "seed": "2022571246063492209", "semantic_fingerprint": "sha256:df2a3f3b411669d5f27f8de4c363505a6f8a9c2b8d2a251a772aa8a5a2e34bdf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002526", "prompt": "Calculate: -28578 * 10404", "solution_steps": ["Multiply: -28578 * 10404 = -297325512"], "final_answer": "-297325512", "answer_type": "integer", "kind": "expression", "math_text": "-28578 * 10404", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -28578, \"b\": 10404}", "seed": "6478948098904244602", "semantic_fingerprint": "sha256:919e69d84fafa7c3010bf75ac0d07265b6a278acd6f561c07c7b98770b00964e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002527", "prompt": "Calculate: -9384 - (-72936) * 5592 / 44631", "solution_steps": ["Multiply: -72936 * 5592 = -407858112", "Divide: -407858112 / 44631 = -15105856/1653", "Subtract: -9384 - (-15105856/1653) = -405896/1653"], "final_answer": "-405896/1653", "answer_type": "rational", "kind": "expression", "math_text": "-9384 - (-72936) * 5592 / 44631", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9384, \"b\": -72936, \"c\": 5592, \"d\": 44631}", "seed": "10303622113974795162", "semantic_fingerprint": "sha256:7b7c280c80fe8230f7b96aa0caf727b99ce8ef812a438e39a9fdd348c4d3b1ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002528", "prompt": "Solve for x: 18x = -27(x - 2537)", "solution_steps": ["Expand: 18x = -27x + 68499", "Add 27x to both sides: 45x = 68499", "Divide both sides by 45: x = 7611/5"], "final_answer": "7611/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x = -27(x - 2537)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": -27, \"c\": 2537}", "seed": "17286577157727763135", "semantic_fingerprint": "sha256:4c846a8f2e10946d6fd89c4f5163d65fb09146f9d3b83b1f5b58ec0cd6628060", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002529", "prompt": "Evaluate: 2022 / (-1503) + (-2342) * (4605 - 7088)", "solution_steps": ["Divide: 2022 / (-1503) = -674/501", "Subtract: 4605 - 7088 = -2483", "Multiply: -2342 * (-2483) = 5815186", "Add: -674/501 + 5815186 = 2913407512/501"], "final_answer": "2913407512/501", "answer_type": "rational", "kind": "expression", "math_text": "2022 / (-1503) + (-2342) * (4605 - 7088)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2022, \"b\": -1503, \"c\": -2342, \"d\": 4605, \"e\": 7088}", "seed": "2360046192476220269", "semantic_fingerprint": "sha256:438dd42248aeaa1382336f3a71b7c9bec05d65a39242c66f89154c707b61039f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002530", "prompt": "Evaluate: (6773 - (-9957)) * (61699 / (-5752 - 20372) - (-1815))", "solution_steps": ["Subtract: 6773 - (-9957) = 16730", "Subtract: -5752 - 20372 = -26124", "Divide: 61699 / (-26124) = -61699/26124", "Subtract: -61699/26124 - (-1815) = 47353361/26124", "Multiply: 16730 * (47353361/26124) = 56587266395/1866"], "final_answer": "56587266395/1866", "answer_type": "rational", "kind": "expression", "math_text": "(6773 - (-9957)) * (61699 / (-5752 - 20372) - (-1815))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- (/ n (- n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6773, \"b\": -9957, \"c\": 61699, \"d\": -5752, \"e\": 20372, \"f\": -1815}", "seed": "6967115860626175810", "semantic_fingerprint": "sha256:a8a84107593aa6ee8c09182998379fa400f2efb884470363873168263b01ca70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002531", "prompt": "Calculate: 65312 + (-8481) + 7146 * 9414", "solution_steps": ["Add: 65312 + (-8481) = 56831", "Multiply: 7146 * 9414 = 67272444", "Add: 56831 + 67272444 = 67329275"], "final_answer": "67329275", "answer_type": "integer", "kind": "expression", "math_text": "65312 + (-8481) + 7146 * 9414", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 65312, \"b\": -8481, \"c\": 7146, \"d\": 9414}", "seed": "1398275819366878354", "semantic_fingerprint": "sha256:d04a64f1a9081604d498ba0b4bf7e1c73c4776ecf1b164c1f51a922096c7d606", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002532", "prompt": "Compute: (-59597 + 45427) * (28494 + 20330 - 48277) - (-6619)", "solution_steps": ["Add: -59597 + 45427 = -14170", "Add: 28494 + 20330 = 48824", "Subtract: 48824 - 48277 = 547", "Multiply: -14170 * 547 = -7750990", "Subtract: -7750990 - (-6619) = -7744371"], "final_answer": "-7744371", "answer_type": "integer", "kind": "expression", "math_text": "(-59597 + 45427) * (28494 + 20330 - 48277) - (-6619)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) (- (+ n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -59597, \"b\": 45427, \"c\": 28494, \"d\": 20330, \"e\": 48277, \"f\": -6619}", "seed": "1119564510925725334", "semantic_fingerprint": "sha256:b521478d957ddf61109b28a43abe8bdf14f9bfce5216fb8921594b2e66a10490", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002533", "prompt": "Find x: 35(x - 8647) + 1259 = 37(x - 5589) - 94391", "solution_steps": ["Expand: 35x - 302645 + 1259 = 37(x - 5589) - 94391", "Expand: 35x - 302645 + 1259 = 37x - 206793 - 94391", "Combine constants: 35x - 301386 = 37x - 206793 - 94391", "Combine constants: 35x - 301386 = 37x - 301184", "Subtract 37x from both sides: -2x - 301386 = -301184", "Add 301386 to both sides: -2x = 202", "Divide both sides by -2: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x - 8647) + 1259 = 37(x - 5589) - 94391", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 8647, \"c\": 1259, \"d\": 37, \"e\": 5589, \"g\": -94391, \"x\": -101}", "seed": "1218047941722898273", "semantic_fingerprint": "sha256:0ac0f55c6b9553bdea5b5ae83b43f40cfc340a82a20ac6d049cb42807390754a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002534", "prompt": "What is -26622 / (-9362 / (-6712))?", "solution_steps": ["Divide: -9362 / (-6712) = 4681/3356", "Divide: -26622 / (4681/3356) = -89343432/4681"], "final_answer": "-89343432/4681", "answer_type": "rational", "kind": "expression", "math_text": "-26622 / (-9362 / (-6712))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26622, \"b\": -9362, \"c\": -6712}", "seed": "1462863048453859258", "semantic_fingerprint": "sha256:9be0821475998c3c3b4bf0f25bb5ab1f09ffeed27c87ebaccfe4983936b3d3c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002535", "prompt": "What is (9463 + 53686 - (-5090)) * (1550 - (-7746))?", "solution_steps": ["Add: 9463 + 53686 = 63149", "Subtract: 63149 - (-5090) = 68239", "Subtract: 1550 - (-7746) = 9296", "Multiply: 68239 * 9296 = 634349744"], "final_answer": "634349744", "answer_type": "integer", "kind": "expression", "math_text": "(9463 + 53686 - (-5090)) * (1550 - (-7746))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9463, \"b\": 53686, \"c\": -5090, \"d\": 1550, \"e\": -7746}", "seed": "10882797073783621882", "semantic_fingerprint": "sha256:44ed82851e272f62cbcd3add80c31abc849a312f8d384d5705de85dc577a4dc7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002536", "prompt": "What is -22225 + 6681 * (4154 + 8840)?", "solution_steps": ["Add: 4154 + 8840 = 12994", "Multiply: 6681 * 12994 = 86812914", "Add: -22225 + 86812914 = 86790689"], "final_answer": "86790689", "answer_type": "integer", "kind": "expression", "math_text": "-22225 + 6681 * (4154 + 8840)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22225, \"b\": 6681, \"c\": 4154, \"d\": 8840}", "seed": "2588881194234691655", "semantic_fingerprint": "sha256:af06fdc7de58b6e236dd5c670f8512226670880791d59fbc02ff4ad929a9d80a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002537", "prompt": "What value of x satisfies 33(x - 8241) = -37(x + 9720) + 91747?", "solution_steps": ["Expand: 33x - 271953 = -37(x + 9720) + 91747", "Expand: 33x - 271953 = -37x - 359640 + 91747", "Combine constants: 33x - 271953 = -37x - 267893", "Add 37x to both sides: 70x - 271953 = -267893", "Add 271953 to both sides: 70x = 4060", "Divide both sides by 70: x = 58"], "final_answer": "58", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 8241) = -37(x + 9720) + 91747", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 8241, \"c\": -37, \"d\": 9720, \"f\": 91747, \"x\": 58}", "seed": "3143266499295163882", "semantic_fingerprint": "sha256:fdcb22879a9182846599de85221c08ca1ccf98d6733d274e489bb811298bc538", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002538", "prompt": "What is -44022 * (2559 / 2482)?", "solution_steps": ["Divide: 2559 / 2482 = 2559/2482", "Multiply: -44022 * (2559/2482) = -56326149/1241"], "final_answer": "-56326149/1241", "answer_type": "rational", "kind": "expression", "math_text": "-44022 * (2559 / 2482)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -44022, \"b\": 2559, \"c\": 2482}", "seed": "5984078736913470586", "semantic_fingerprint": "sha256:01b8309dc55419881903a511a2fda436163433779f369f3524e96991b32c2e4b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002539", "prompt": "What is 81769 / (-51797 - (-22690))?", "solution_steps": ["Subtract: -51797 - (-22690) = -29107", "Divide: 81769 / (-29107) = -81769/29107"], "final_answer": "-81769/29107", "answer_type": "rational", "kind": "expression", "math_text": "81769 / (-51797 - (-22690))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 81769, \"b\": -51797, \"c\": -22690}", "seed": "8728404932440400336", "semantic_fingerprint": "sha256:3bba894483cbbf52cc0d3ed6a313749c96f11945b3a0cf4e4111294a943f774f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002540", "prompt": "Evaluate: -3251 * (-1965) * (7819 + (-3740))", "solution_steps": ["Multiply: -3251 * (-1965) = 6388215", "Add: 7819 + (-3740) = 4079", "Multiply: 6388215 * 4079 = 26057528985"], "final_answer": "26057528985", "answer_type": "integer", "kind": "expression", "math_text": "-3251 * (-1965) * (7819 + (-3740))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3251, \"b\": -1965, \"c\": 7819, \"d\": -3740}", "seed": "4687570842932579736", "semantic_fingerprint": "sha256:6eb6cd5cd0b9311467e0424082978d08732e5e05c6d9ddbcef1eb6c64cb1a21f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002541", "prompt": "Evaluate: -9954 / 6808 * (-83068 - (-3237))", "solution_steps": ["Divide: -9954 / 6808 = -4977/3404", "Subtract: -83068 - (-3237) = -79831", "Multiply: (-4977/3404) * (-79831) = 397318887/3404"], "final_answer": "397318887/3404", "answer_type": "rational", "kind": "expression", "math_text": "-9954 / 6808 * (-83068 - (-3237))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9954, \"b\": 6808, \"c\": -83068, \"d\": -3237}", "seed": "15984471881599642862", "semantic_fingerprint": "sha256:183b1dd0ad574ff0f04e9293de75bd4cc1696f73367f9f9f84ab3f1eddd6cbf5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002542", "prompt": "What value of x satisfies 19(x - 8003) - 53458 = 20(x + 39567) + 53609?", "solution_steps": ["Expand: 19x - 152057 - 53458 = 20(x + 39567) + 53609", "Expand: 19x - 152057 - 53458 = 20x + 791340 + 53609", "Combine constants: 19x - 205515 = 20x + 791340 + 53609", "Combine constants: 19x - 205515 = 20x + 844949", "Subtract 20x from both sides: -x - 205515 = 844949", "Add 205515 to both sides: -x = 1050464", "Divide both sides by -1: x = -1050464"], "final_answer": "-1050464", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 8003) - 53458 = 20(x + 39567) + 53609", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 8003, \"c\": 53458, \"d\": 20, \"e\": 39567, \"f\": 53609}", "seed": "7539662405312979003", "semantic_fingerprint": "sha256:4d9247eeaaa7cc517e0900b870b8c99353790ab1b5cb8700b6e7f9766a2514fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002543", "prompt": "What is -4114 / 7109 - (-20758)?", "solution_steps": ["Divide: -4114 / 7109 = -4114/7109", "Subtract: -4114/7109 - (-20758) = 147564508/7109"], "final_answer": "147564508/7109", "answer_type": "rational", "kind": "expression", "math_text": "-4114 / 7109 - (-20758)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4114, \"b\": 7109, \"c\": -20758}", "seed": "10035860906966656116", "semantic_fingerprint": "sha256:2ab950bbb1a38ec9561a91d9b9c51be589d9a8832b40a365cba81d7a99bdad60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002544", "prompt": "Evaluate: -5991 - 50933 / (-5871)", "solution_steps": ["Divide: 50933 / (-5871) = -50933/5871", "Subtract: -5991 - (-50933/5871) = -35122228/5871"], "final_answer": "-35122228/5871", "answer_type": "rational", "kind": "expression", "math_text": "-5991 - 50933 / (-5871)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5991, \"b\": 50933, \"c\": -5871}", "seed": "13013212715157781293", "semantic_fingerprint": "sha256:e6454371c68ac7f504347c06d439d42ed5db5315a532f58bba043103cda85180", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002545", "prompt": "Calculate: 53190 + (-8875 + 53117 * 3862) + 4283", "solution_steps": ["Multiply: 53117 * 3862 = 205137854", "Add: -8875 + 205137854 = 205128979", "Add: 53190 + 205128979 = 205182169", "Add: 205182169 + 4283 = 205186452"], "final_answer": "205186452", "answer_type": "integer", "kind": "expression", "math_text": "53190 + (-8875 + 53117 * 3862) + 4283", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 53190, \"b\": -8875, \"c\": 53117, \"d\": 3862, \"e\": 4283}", "seed": "15458611344253994290", "semantic_fingerprint": "sha256:229936d5e4771dba67b542f6592d799b082a042dd8583b987187628c4b198c5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002546", "prompt": "Find x: -35x = 3815", "solution_steps": ["Divide both sides by -35: x = -109"], "final_answer": "-109", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x = 3815", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35, \"c\": 3815, \"x\": -109}", "seed": "12821575243461226033", "semantic_fingerprint": "sha256:042a1a635d5518c96c81bbbe91c192e7ee5d37119318a03538f5c49a2ad3301f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002547", "prompt": "Evaluate: 50974 - 2015", "solution_steps": ["Subtract: 50974 - 2015 = 48959"], "final_answer": "48959", "answer_type": "integer", "kind": "expression", "math_text": "50974 - 2015", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 50974, \"b\": 2015}", "seed": "4576831542402416278", "semantic_fingerprint": "sha256:0d8b55b00c9fee6d89a28bd5f006e9b1b7944e3ac91ea39e7f39832348929b1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002548", "prompt": "Calculate: (62814 * 82114 + (-8182)) / 37788", "solution_steps": ["Multiply: 62814 * 82114 = 5157908796", "Add: 5157908796 + (-8182) = 5157900614", "Divide: 5157900614 / 37788 = 2578950307/18894"], "final_answer": "2578950307/18894", "answer_type": "rational", "kind": "expression", "math_text": "(62814 * 82114 + (-8182)) / 37788", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62814, \"b\": 82114, \"c\": -8182, \"d\": 37788}", "seed": "6933453934052124238", "semantic_fingerprint": "sha256:865c45b7a8a2ea91ec9b5b03ba3f773973856d0f815e2191d3484680b26279d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002549", "prompt": "Compute: -94810 + 3466 / 45940", "solution_steps": ["Divide: 3466 / 45940 = 1733/22970", "Add: -94810 + 1733/22970 = -2177783967/22970"], "final_answer": "-2177783967/22970", "answer_type": "rational", "kind": "expression", "math_text": "-94810 + 3466 / 45940", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -94810, \"b\": 3466, \"c\": 45940}", "seed": "7640841545576204425", "semantic_fingerprint": "sha256:1f60471ea7a7ea645625b3fc32486c08846a98e54f423d67379b9f53dadd2db4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002550", "prompt": "Find x: 39(x + 7074) + 23203 = -22(x + 40955)", "solution_steps": ["Expand: 39x + 275886 + 23203 = -22(x + 40955)", "Expand: 39x + 275886 + 23203 = -22x - 901010", "Combine constants: 39x + 299089 = -22x - 901010", "Add 22x to both sides: 61x + 299089 = -901010", "Subtract 299089 from both sides: 61x = -1200099", "Divide both sides by 61: x = -1200099/61"], "final_answer": "-1200099/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 7074) + 23203 = -22(x + 40955)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 7074, \"c\": 23203, \"d\": -22, \"e\": 40955}", "seed": "7931540768397696582", "semantic_fingerprint": "sha256:ad2f601f85eb8279e438345610768326671b7211ff153b60237b48039bcc10ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002551", "prompt": "Solve the equation -35(x - 2293) = x + 5999 for x.", "solution_steps": ["Expand: -35x + 80255 = x + 5999", "Subtract x from both sides: -36x + 80255 = 5999", "Subtract 80255 from both sides: -36x = -74256", "Divide both sides by -36: x = 6188/3"], "final_answer": "6188/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 2293) = x + 5999", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 2293, \"c\": 5999}", "seed": "18432747151127320097", "semantic_fingerprint": "sha256:55b8554810d0d9b12fb6fc8eab855a4db218b18a6e9ccc461acc3d05f5f4ecd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002552", "prompt": "Calculate: -9145 - (-41826) + (-5198) + 5000 / (-8288)", "solution_steps": ["Subtract: -9145 - (-41826) = 32681", "Add: 32681 + (-5198) = 27483", "Divide: 5000 / (-8288) = -625/1036", "Add: 27483 + (-625/1036) = 28471763/1036"], "final_answer": "28471763/1036", "answer_type": "rational", "kind": "expression", "math_text": "-9145 - (-41826) + (-5198) + 5000 / (-8288)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9145, \"b\": -41826, \"c\": -5198, \"d\": 5000, \"e\": -8288}", "seed": "3587875806806189107", "semantic_fingerprint": "sha256:89c51b77d5206f79414545f2664df111018b0af40916845e88a6a7bf62ac806c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002553", "prompt": "What is 8282 + (-4450 - 8224) + 3184 + 5307?", "solution_steps": ["Subtract: -4450 - 8224 = -12674", "Add: 8282 + (-12674) = -4392", "Add: -4392 + 3184 = -1208", "Add: -1208 + 5307 = 4099"], "final_answer": "4099", "answer_type": "integer", "kind": "expression", "math_text": "8282 + (-4450 - 8224) + 3184 + 5307", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8282, \"b\": -4450, \"c\": 8224, \"d\": 3184, \"e\": 5307}", "seed": "757125997696917367", "semantic_fingerprint": "sha256:7edc1ed97e70f5cae3f486a40179331b3f87c0645e5068337359e2f5c054ab63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002554", "prompt": "Solve the equation 35x + 1410 = 20x for x.", "solution_steps": ["Subtract 20x from both sides: 15x + 1410 = 0", "Subtract 1410 from both sides: 15x = -1410", "Divide both sides by 15: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 1410 = 20x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 20, \"d\": 1410, \"x\": -94}", "seed": "7573485612187708441", "semantic_fingerprint": "sha256:69f3368e9c2ce631d3bb70a24679e7ad843ec7e90962a2117ba9c61df2708b99", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002555", "prompt": "Calculate: 6116 + 3390 * 1660", "solution_steps": ["Multiply: 3390 * 1660 = 5627400", "Add: 6116 + 5627400 = 5633516"], "final_answer": "5633516", "answer_type": "integer", "kind": "expression", "math_text": "6116 + 3390 * 1660", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6116, \"b\": 3390, \"c\": 1660}", "seed": "15359525225712177826", "semantic_fingerprint": "sha256:f97faf36e5b98ecf596be8b4dd8d8d7f1a1cdea80573f1cd48388948c482777c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002556", "prompt": "Compute: -35425 / (7759 + (4719 - (-5927)))", "solution_steps": ["Subtract: 4719 - (-5927) = 10646", "Add: 7759 + 10646 = 18405", "Divide: -35425 / 18405 = -7085/3681"], "final_answer": "-7085/3681", "answer_type": "rational", "kind": "expression", "math_text": "-35425 / (7759 + (4719 - (-5927)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35425, \"b\": 7759, \"c\": 4719, \"d\": -5927}", "seed": "3636761393958150105", "semantic_fingerprint": "sha256:5321120aaf43db4f90caa08ca7cbc48f7ac59e96833ab80460e685583ae44b52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002557", "prompt": "Evaluate: -47044 / (-1184 / 1021) - 5600 + 4465", "solution_steps": ["Divide: -1184 / 1021 = -1184/1021", "Divide: -47044 / (-1184/1021) = 12007981/296", "Subtract: 12007981/296 - 5600 = 10350381/296", "Add: 10350381/296 + 4465 = 11672021/296"], "final_answer": "11672021/296", "answer_type": "rational", "kind": "expression", "math_text": "-47044 / (-1184 / 1021) - 5600 + 4465", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -47044, \"b\": -1184, \"c\": 1021, \"d\": 5600, \"e\": 4465}", "seed": "16832900700328463995", "semantic_fingerprint": "sha256:e1dc248bc8eecf6fc6a1272a382761dd52416c2423efc64d6491a8a733184e63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002558", "prompt": "What is -47253 / (-2602)?", "solution_steps": ["Divide: -47253 / (-2602) = 47253/2602"], "final_answer": "47253/2602", "answer_type": "rational", "kind": "expression", "math_text": "-47253 / (-2602)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47253, \"b\": -2602}", "seed": "5295519115766261551", "semantic_fingerprint": "sha256:08a71b7209b144955ff81e4db8d891f67f06e9a627f0bce79b44babf214a859c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002559", "prompt": "Evaluate: -3823 - (4031 - (-91737))", "solution_steps": ["Subtract: 4031 - (-91737) = 95768", "Subtract: -3823 - 95768 = -99591"], "final_answer": "-99591", "answer_type": "integer", "kind": "expression", "math_text": "-3823 - (4031 - (-91737))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3823, \"b\": 4031, \"c\": -91737}", "seed": "7011816258909783107", "semantic_fingerprint": "sha256:8401c9a3886503ce6ceb079aacc946c890ded78d2fff4054d8a4900c2c0b438d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002560", "prompt": "Solve the equation x = 20(x + 4309) - 88023 for x.", "solution_steps": ["Expand: x = 20x + 86180 - 88023", "Combine constants: x = 20x - 1843", "Subtract 20x from both sides: -19x = -1843", "Divide both sides by -19: x = 97"], "final_answer": "97", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 20(x + 4309) - 88023", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 4309, \"d\": -88023, \"x\": 97}", "seed": "12568717943572378492", "semantic_fingerprint": "sha256:7686bbe7902d68b6fd4c3a65a5b5f540af8a9a1bd9d4967b7ee545eff3ce97f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002561", "prompt": "What value of x satisfies 15(x - 92207) = -2509?", "solution_steps": ["Expand: 15x - 1383105 = -2509", "Add 1383105 to both sides: 15x = 1380596", "Divide both sides by 15: x = 1380596/15"], "final_answer": "1380596/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 92207) = -2509", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 92207, \"c\": -2509}", "seed": "2042478827313861696", "semantic_fingerprint": "sha256:7effb756f2ec8c99a85b617f0b9c3b21007fedc0907e6e02f567b7a75e8d1288", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002562", "prompt": "Compute: 18824 - (-18955)", "solution_steps": ["Subtract: 18824 - (-18955) = 37779"], "final_answer": "37779", "answer_type": "integer", "kind": "expression", "math_text": "18824 - (-18955)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 18824, \"b\": -18955}", "seed": "14506138984718191457", "semantic_fingerprint": "sha256:6a6827ce3baec4cd4a89f9bb22fd9a235b48f6b2941c9712ca8a969ae90fdad0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002563", "prompt": "Evaluate: -6126 * 7418", "solution_steps": ["Multiply: -6126 * 7418 = -45442668"], "final_answer": "-45442668", "answer_type": "integer", "kind": "expression", "math_text": "-6126 * 7418", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6126, \"b\": 7418}", "seed": "16848745001748686620", "semantic_fingerprint": "sha256:8742fc3d528d8980f0647703dad945d874e883322ab7d601dc2da22454ad0cde", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002564", "prompt": "Solve for x: x = -38(x + 6541) - 5989", "solution_steps": ["Expand: x = -38x - 248558 - 5989", "Combine constants: x = -38x - 254547", "Add 38x to both sides: 39x = -254547", "Divide both sides by 39: x = -84849/13"], "final_answer": "-84849/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -38(x + 6541) - 5989", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 6541, \"c\": 5989}", "seed": "11446175141515207342", "semantic_fingerprint": "sha256:c39d413cbfc136b569d6acc1ad5f5cc0bda457aef11f94a1a89dcb81d3bcfeb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002565", "prompt": "Calculate: 2991 * 9547", "solution_steps": ["Multiply: 2991 * 9547 = 28555077"], "final_answer": "28555077", "answer_type": "integer", "kind": "expression", "math_text": "2991 * 9547", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2991, \"b\": 9547}", "seed": "2800796519650649315", "semantic_fingerprint": "sha256:22b00fdecff4eb97f97acb348bb97681819727f347e7824494f685078c4735bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002566", "prompt": "What value of x satisfies 26x + 7603 = x + 10503?", "solution_steps": ["Subtract x from both sides: 25x + 7603 = 10503", "Subtract 7603 from both sides: 25x = 2900", "Divide both sides by 25: x = 116"], "final_answer": "116", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x + 7603 = x + 10503", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 7603, \"d\": 10503, \"x\": 116}", "seed": "399041567798712654", "semantic_fingerprint": "sha256:496a58cf7ab082e186bfa8f707dbd9e316267c115e832fb50bc7a235639451cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002567", "prompt": "Find x: x + 9632 = 9771", "solution_steps": ["Subtract 9632 from both sides: x = 139"], "final_answer": "139", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9632 = 9771", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9632, \"c\": 9771, \"x\": 139}", "seed": "8114659853777876954", "semantic_fingerprint": "sha256:a8f1bd7927cd7b524021545dd48138923eb2ea646c866d8c10349128cbc6c89a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002568", "prompt": "What value of x satisfies -17x = x + 1386?", "solution_steps": ["Subtract x from both sides: -18x = 1386", "Divide both sides by -18: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x = x + 1386", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"c\": 1386, \"x\": -77}", "seed": "15306522830806779875", "semantic_fingerprint": "sha256:0d211d9ffd0d2e8ee67f6a687353845a4c7f94e967b7ed7366e8d99de07a6d60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002569", "prompt": "What is 9855 / 22340 + 2297?", "solution_steps": ["Divide: 9855 / 22340 = 1971/4468", "Add: 1971/4468 + 2297 = 10264967/4468"], "final_answer": "10264967/4468", "answer_type": "rational", "kind": "expression", "math_text": "9855 / 22340 + 2297", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9855, \"b\": 22340, \"c\": 2297}", "seed": "12672052032704355481", "semantic_fingerprint": "sha256:035992ef6ed1a09bbde202ddc319a9fa01ced37e8a164299433610dbfccb5082", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002570", "prompt": "Calculate: -4562 + (-3760) / 8822 - 54840", "solution_steps": ["Divide: -3760 / 8822 = -1880/4411", "Add: -4562 + (-1880/4411) = -20124862/4411", "Subtract: -20124862/4411 - 54840 = -262024102/4411"], "final_answer": "-262024102/4411", "answer_type": "rational", "kind": "expression", "math_text": "-4562 + (-3760) / 8822 - 54840", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4562, \"b\": -3760, \"c\": 8822, \"d\": 54840}", "seed": "6914999855973207550", "semantic_fingerprint": "sha256:13b0218d8bf409d57690be1cd65fb3ea8621cf28df1489ce5cf2ed8074ad6805", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002571", "prompt": "Calculate: 36291 + (5567 - 69973)", "solution_steps": ["Subtract: 5567 - 69973 = -64406", "Add: 36291 + (-64406) = -28115"], "final_answer": "-28115", "answer_type": "integer", "kind": "expression", "math_text": "36291 + (5567 - 69973)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36291, \"b\": 5567, \"c\": 69973}", "seed": "4545527576785443485", "semantic_fingerprint": "sha256:aea28361c9fd2d643a16403fd840efdcfcb1d9fb3fb84d655b9aa2b555a87d7a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002572", "prompt": "Evaluate: -83599 * (-3462) + (-22252)", "solution_steps": ["Multiply: -83599 * (-3462) = 289419738", "Add: 289419738 + (-22252) = 289397486"], "final_answer": "289397486", "answer_type": "integer", "kind": "expression", "math_text": "-83599 * (-3462) + (-22252)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83599, \"b\": -3462, \"c\": -22252}", "seed": "7618064590142801756", "semantic_fingerprint": "sha256:1b0b6003cd2438c3043ffbda21417993b5e367afc54109436a6d86807008fa3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002573", "prompt": "Evaluate: 1348 + (1377 + (-49177))", "solution_steps": ["Add: 1377 + (-49177) = -47800", "Add: 1348 + (-47800) = -46452"], "final_answer": "-46452", "answer_type": "integer", "kind": "expression", "math_text": "1348 + (1377 + (-49177))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1348, \"b\": 1377, \"c\": -49177}", "seed": "16394914220520945360", "semantic_fingerprint": "sha256:114d108ab82868862d0ee2188c894f49199a5fc1e42b2419932ef62acdf54262", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002574", "prompt": "Calculate: 8605 * (-47609)", "solution_steps": ["Multiply: 8605 * (-47609) = -409675445"], "final_answer": "-409675445", "answer_type": "integer", "kind": "expression", "math_text": "8605 * (-47609)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8605, \"b\": -47609}", "seed": "18007821252804319470", "semantic_fingerprint": "sha256:f479e7f390598cd7d138fd0821869785839e5683fdeea225f1d33dccf662242a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002575", "prompt": "Compute: 7421 * (-5869) / 60670", "solution_steps": ["Multiply: 7421 * (-5869) = -43553849", "Divide: -43553849 / 60670 = -43553849/60670"], "final_answer": "-43553849/60670", "answer_type": "rational", "kind": "expression", "math_text": "7421 * (-5869) / 60670", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7421, \"b\": -5869, \"c\": 60670}", "seed": "12386681979838533945", "semantic_fingerprint": "sha256:bed281856d81a2d049612a593980294162878fa57d4d7f8954a377033596636c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002576", "prompt": "Find x: x = -37(x + 21759) + 53618", "solution_steps": ["Expand: x = -37x - 805083 + 53618", "Combine constants: x = -37x - 751465", "Add 37x to both sides: 38x = -751465", "Divide both sides by 38: x = -751465/38"], "final_answer": "-751465/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -37(x + 21759) + 53618", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 21759, \"c\": 53618}", "seed": "1790454088665365944", "semantic_fingerprint": "sha256:bd4e3ba3a387d390e93526bff571f6ccb3b02d9d31ff3d8f94d75205d7465d5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002577", "prompt": "Solve for x: x - 1856 = -24(x + 5806) + 8823", "solution_steps": ["Expand: x - 1856 = -24x - 139344 + 8823", "Combine constants: x - 1856 = -24x - 130521", "Add 24x to both sides: 25x - 1856 = -130521", "Add 1856 to both sides: 25x = -128665", "Divide both sides by 25: x = -25733/5"], "final_answer": "-25733/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1856 = -24(x + 5806) + 8823", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1856, \"b\": -24, \"c\": 5806, \"d\": 8823}", "seed": "2636156901668627925", "semantic_fingerprint": "sha256:361bc4786b40857ea5ca9daab01ccb4789a3513db423124362d8944060ae1599", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002578", "prompt": "Find x: x - 17937 = 21x - 2226", "solution_steps": ["Subtract 21x from both sides: -20x - 17937 = -2226", "Add 17937 to both sides: -20x = 15711", "Divide both sides by -20: x = -15711/20"], "final_answer": "-15711/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 17937 = 21x - 2226", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17937, \"b\": 21, \"c\": 2226}", "seed": "3406499900602469308", "semantic_fingerprint": "sha256:8dcfc5c26e9adf7253750b8b5ec5dba2e3393a999b8e8a5a724ad5d4661acf8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002579", "prompt": "Evaluate: 76068 / 93196", "solution_steps": ["Divide: 76068 / 93196 = 19017/23299"], "final_answer": "19017/23299", "answer_type": "rational", "kind": "expression", "math_text": "76068 / 93196", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 76068, \"b\": 93196}", "seed": "10146601038157247948", "semantic_fingerprint": "sha256:d659b096b9823c9169daddc9f0d9a134632bd1827c57ef4839f2e4eb53974dfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002580", "prompt": "What is -7669 * (-4944 * (-11054))?", "solution_steps": ["Multiply: -4944 * (-11054) = 54650976", "Multiply: -7669 * 54650976 = -419118334944"], "final_answer": "-419118334944", "answer_type": "integer", "kind": "expression", "math_text": "-7669 * (-4944 * (-11054))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7669, \"b\": -4944, \"c\": -11054}", "seed": "7783334020074959243", "semantic_fingerprint": "sha256:4316b34b93637bdabe15667dab37ae04ddba20b936c7b07e8aa0c5b20d9dc0c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002581", "prompt": "Calculate: 1520 + 92346 + 26770", "solution_steps": ["Add: 1520 + 92346 = 93866", "Add: 93866 + 26770 = 120636"], "final_answer": "120636", "answer_type": "integer", "kind": "expression", "math_text": "1520 + 92346 + 26770", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1520, \"b\": 92346, \"c\": 26770}", "seed": "4535597689719185064", "semantic_fingerprint": "sha256:c038b7e9cad6a5291bdc4dc78d89a71350d7e5054247557f9ef4b10d648850cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002582", "prompt": "What value of x satisfies -39x = 27x - 13002?", "solution_steps": ["Subtract 27x from both sides: -66x = -13002", "Divide both sides by -66: x = 197"], "final_answer": "197", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x = 27x - 13002", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 27, \"d\": -13002, \"x\": 197}", "seed": "10176462233722909448", "semantic_fingerprint": "sha256:4ae0d9c6516a4c46f3abe8eec4b783f9e09805c931fd15c9fcd18caa7a623740", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002583", "prompt": "Find x: -24x = -34(x + 68941)", "solution_steps": ["Expand: -24x = -34x - 2343994", "Add 34x to both sides: 10x = -2343994", "Divide both sides by 10: x = -1171997/5"], "final_answer": "-1171997/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x = -34(x + 68941)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": -34, \"c\": 68941}", "seed": "1644510585472754056", "semantic_fingerprint": "sha256:87e9d114ebb247453cdab53d66f5b75a1227a4bbe82e3c384e10e52e42d5efa4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002584", "prompt": "Evaluate: 52997 + (-4045)", "solution_steps": ["Add: 52997 + (-4045) = 48952"], "final_answer": "48952", "answer_type": "integer", "kind": "expression", "math_text": "52997 + (-4045)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 52997, \"b\": -4045}", "seed": "11811711443194687103", "semantic_fingerprint": "sha256:a9507b7791cfc87798d14a530436b0df53d05399cf36594e8cd5cf394323930f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002585", "prompt": "Find x: 18(x - 5541) - 87847 = 29x", "solution_steps": ["Expand: 18x - 99738 - 87847 = 29x", "Combine constants: 18x - 187585 = 29x", "Subtract 29x from both sides: -11x - 187585 = 0", "Add 187585 to both sides: -11x = 187585", "Divide both sides by -11: x = -187585/11"], "final_answer": "-187585/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x - 5541) - 87847 = 29x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 5541, \"c\": 87847, \"d\": 29}", "seed": "14613767636333879853", "semantic_fingerprint": "sha256:aa7a1f44bfcbb18b6c22613c79da85bcba77b347d159e29521a8604d29014188", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002586", "prompt": "Compute: 20593 / (-8760 + 88483) + 9665", "solution_steps": ["Add: -8760 + 88483 = 79723", "Divide: 20593 / 79723 = 20593/79723", "Add: 20593/79723 + 9665 = 770543388/79723"], "final_answer": "770543388/79723", "answer_type": "rational", "kind": "expression", "math_text": "20593 / (-8760 + 88483) + 9665", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20593, \"b\": -8760, \"c\": 88483, \"d\": 9665}", "seed": "10123924986078778393", "semantic_fingerprint": "sha256:d37b8c724f480002c6e9da5817b55c770529953acb2e72a150954a080bed3bba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002587", "prompt": "Evaluate: (-5822 + (-2577)) / 73164 * (75000 - 36851)", "solution_steps": ["Add: -5822 + (-2577) = -8399", "Divide: -8399 / 73164 = -8399/73164", "Subtract: 75000 - 36851 = 38149", "Multiply: (-8399/73164) * 38149 = -320413451/73164"], "final_answer": "-320413451/73164", "answer_type": "rational", "kind": "expression", "math_text": "(-5822 + (-2577)) / 73164 * (75000 - 36851)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5822, \"b\": -2577, \"c\": 73164, \"d\": 75000, \"e\": 36851}", "seed": "15925504888121866372", "semantic_fingerprint": "sha256:e118fef86510c4ceba9867c751d69e66052022db8ffe474d3c232c081acc522f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002588", "prompt": "Calculate: 5575 + 2874", "solution_steps": ["Add: 5575 + 2874 = 8449"], "final_answer": "8449", "answer_type": "integer", "kind": "expression", "math_text": "5575 + 2874", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5575, \"b\": 2874}", "seed": "4487676582695245168", "semantic_fingerprint": "sha256:847c977cbe87f50678f1855759789294a1af8fb8188e18ee74355d0d36b2a725", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002589", "prompt": "Compute: 5366 + (-4944 - 28432)", "solution_steps": ["Subtract: -4944 - 28432 = -33376", "Add: 5366 + (-33376) = -28010"], "final_answer": "-28010", "answer_type": "integer", "kind": "expression", "math_text": "5366 + (-4944 - 28432)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5366, \"b\": -4944, \"c\": 28432}", "seed": "8997425951371915077", "semantic_fingerprint": "sha256:f6041f54181051b6e3ba8649bdb38f00836a918ad6abf847bacd65c0f401bf93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002590", "prompt": "Solve the equation 39(x - 5912) = 28x for x.", "solution_steps": ["Expand: 39x - 230568 = 28x", "Subtract 28x from both sides: 11x - 230568 = 0", "Add 230568 to both sides: 11x = 230568", "Divide both sides by 11: x = 230568/11"], "final_answer": "230568/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 5912) = 28x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5912, \"c\": 28}", "seed": "8433754479014462639", "semantic_fingerprint": "sha256:1fa8bb595e542dd2347316d27034655cbdc6b5e73694201f70f7293ee53a5c8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002591", "prompt": "Solve for x: x = 17(x + 4338) - 70658", "solution_steps": ["Expand: x = 17x + 73746 - 70658", "Combine constants: x = 17x + 3088", "Subtract 17x from both sides: -16x = 3088", "Divide both sides by -16: x = -193"], "final_answer": "-193", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 17(x + 4338) - 70658", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4338, \"d\": -70658, \"x\": -193}", "seed": "6609940676952820055", "semantic_fingerprint": "sha256:bd8421dcfc90ba0ce2caaa6543ff959c431fa44d36e7b5294e8d8fd0e14e7b0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002592", "prompt": "Compute: -5589 + 2973 - (-89789 / (-2343) - (-12386))", "solution_steps": ["Add: -5589 + 2973 = -2616", "Divide: -89789 / (-2343) = 89789/2343", "Subtract: 89789/2343 - (-12386) = 29110187/2343", "Subtract: -2616 - 29110187/2343 = -35239475/2343"], "final_answer": "-35239475/2343", "answer_type": "rational", "kind": "expression", "math_text": "-5589 + 2973 - (-89789 / (-2343) - (-12386))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5589, \"b\": 2973, \"c\": -89789, \"d\": -2343, \"e\": -12386}", "seed": "5078349629296498811", "semantic_fingerprint": "sha256:d5b6b69e9f7804a6c82eac4149f02488a70dbbaf79774248b113a56166b7ecd3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002593", "prompt": "Find x: 35x = x - 4006", "solution_steps": ["Subtract x from both sides: 34x = -4006", "Divide both sides by 34: x = -2003/17"], "final_answer": "-2003/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x = x - 4006", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4006}", "seed": "6183734283550058907", "semantic_fingerprint": "sha256:afa2376594047271417c1902b218e09bd46eaa3237cdda3c18eb7d05b07ce3f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002594", "prompt": "What is 7211 * (-9423) + (47963 + (-83994) - 1621)?", "solution_steps": ["Multiply: 7211 * (-9423) = -67949253", "Add: 47963 + (-83994) = -36031", "Subtract: -36031 - 1621 = -37652", "Add: -67949253 + (-37652) = -67986905"], "final_answer": "-67986905", "answer_type": "integer", "kind": "expression", "math_text": "7211 * (-9423) + (47963 + (-83994) - 1621)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7211, \"b\": -9423, \"c\": 47963, \"d\": -83994, \"e\": 1621}", "seed": "15891056044621656009", "semantic_fingerprint": "sha256:087effedd7c74740b3766d5b35ca313e287399e337dbc9e0e27d47d8e0fc0b70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002595", "prompt": "Evaluate: (-5491 + 5180) * 3595 + (-66815) * (-2193)", "solution_steps": ["Add: -5491 + 5180 = -311", "Multiply: -311 * 3595 = -1118045", "Multiply: -66815 * (-2193) = 146525295", "Add: -1118045 + 146525295 = 145407250"], "final_answer": "145407250", "answer_type": "integer", "kind": "expression", "math_text": "(-5491 + 5180) * 3595 + (-66815) * (-2193)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5491, \"b\": 5180, \"c\": 3595, \"d\": -66815, \"e\": -2193}", "seed": "6967034254635151111", "semantic_fingerprint": "sha256:87b41fa61f0f57d4b7006decc3ea46b9fd38d30a825d2ad97687d638ee42f0a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002596", "prompt": "Evaluate: (6202 - (-76819)) / (-91895)", "solution_steps": ["Subtract: 6202 - (-76819) = 83021", "Divide: 83021 / (-91895) = -83021/91895"], "final_answer": "-83021/91895", "answer_type": "rational", "kind": "expression", "math_text": "(6202 - (-76819)) / (-91895)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6202, \"b\": -76819, \"c\": -91895}", "seed": "881153218588140277", "semantic_fingerprint": "sha256:1284113c6b3f9139212d208c086dbc17e1e3aa8d27bf7395a9919d33cdeda75a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002597", "prompt": "Compute: 1229 - (-8799)", "solution_steps": ["Subtract: 1229 - (-8799) = 10028"], "final_answer": "10028", "answer_type": "integer", "kind": "expression", "math_text": "1229 - (-8799)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1229, \"b\": -8799}", "seed": "11122379118672657883", "semantic_fingerprint": "sha256:25130231c17d42f2f6c0d800f686d87599e737448858841e935418f237ba0ac3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002598", "prompt": "What is (-76327 * (-11477) + (-80505)) / 53482?", "solution_steps": ["Multiply: -76327 * (-11477) = 876004979", "Add: 876004979 + (-80505) = 875924474", "Divide: 875924474 / 53482 = 437962237/26741"], "final_answer": "437962237/26741", "answer_type": "rational", "kind": "expression", "math_text": "(-76327 * (-11477) + (-80505)) / 53482", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -76327, \"b\": -11477, \"c\": -80505, \"d\": 53482}", "seed": "11818925679893588258", "semantic_fingerprint": "sha256:1a7e135c6fbca77e55c51ed945212d485b2025a6a482d574bfa2784a6effdfc7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002599", "prompt": "Solve the equation x = 29(x + 76111) - 64009 for x.", "solution_steps": ["Expand: x = 29x + 2207219 - 64009", "Combine constants: x = 29x + 2143210", "Subtract 29x from both sides: -28x = 2143210", "Divide both sides by -28: x = -1071605/14"], "final_answer": "-1071605/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 29(x + 76111) - 64009", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 76111, \"c\": 64009}", "seed": "17606349649275604153", "semantic_fingerprint": "sha256:0863605b30755e1b13c3db9e44886b6f750ef1f8eee0f9dc4e5ce3527d0975b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002600", "prompt": "Compute: 5653 * 7580", "solution_steps": ["Multiply: 5653 * 7580 = 42849740"], "final_answer": "42849740", "answer_type": "integer", "kind": "expression", "math_text": "5653 * 7580", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5653, \"b\": 7580}", "seed": "10118796381294298822", "semantic_fingerprint": "sha256:20109d5565ab539177a71e73ec056556cb99ccdf40ae297dc8c55de1f1f4422c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002601", "prompt": "Calculate: 60504 * 9139 + (11450 + 22667)", "solution_steps": ["Multiply: 60504 * 9139 = 552946056", "Add: 11450 + 22667 = 34117", "Add: 552946056 + 34117 = 552980173"], "final_answer": "552980173", "answer_type": "integer", "kind": "expression", "math_text": "60504 * 9139 + (11450 + 22667)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60504, \"b\": 9139, \"c\": 11450, \"d\": 22667}", "seed": "3577319530133221988", "semantic_fingerprint": "sha256:a31abaf74f0ee2441b6c8e4b166cdfdeb32f53178a8314cff40460369affcad6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002602", "prompt": "Solve for x: -37x = 17x + 5832", "solution_steps": ["Subtract 17x from both sides: -54x = 5832", "Divide both sides by -54: x = -108"], "final_answer": "-108", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x = 17x + 5832", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 17, \"d\": 5832, \"x\": -108}", "seed": "14103064496544692655", "semantic_fingerprint": "sha256:fda1465830a3b40f2ed431e5ea868634770f1c41ade6426b3fb548181b798b1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002603", "prompt": "Calculate: -5008 - (-7143) + (-42709)", "solution_steps": ["Subtract: -5008 - (-7143) = 2135", "Add: 2135 + (-42709) = -40574"], "final_answer": "-40574", "answer_type": "integer", "kind": "expression", "math_text": "-5008 - (-7143) + (-42709)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5008, \"b\": -7143, \"c\": -42709}", "seed": "10352350192561932020", "semantic_fingerprint": "sha256:eaa1fee64a5a3a179e152da96a399e35137a54186606c32fd8dd18b2dce2f014", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002604", "prompt": "What value of x satisfies 16(x - 84245) = -26(x + 1691)?", "solution_steps": ["Expand: 16x - 1347920 = -26(x + 1691)", "Expand: 16x - 1347920 = -26x - 43966", "Add 26x to both sides: 42x - 1347920 = -43966", "Add 1347920 to both sides: 42x = 1303954", "Divide both sides by 42: x = 651977/21"], "final_answer": "651977/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 84245) = -26(x + 1691)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 84245, \"c\": -26, \"d\": 1691}", "seed": "12421572040996004392", "semantic_fingerprint": "sha256:6e10ff8f14369c749f8723e5c0d4f3bbcd0305d2599e5be6592c6043c750426b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002605", "prompt": "What is (-83667 - (-6045)) / (-22748)?", "solution_steps": ["Subtract: -83667 - (-6045) = -77622", "Divide: -77622 / (-22748) = 38811/11374"], "final_answer": "38811/11374", "answer_type": "rational", "kind": "expression", "math_text": "(-83667 - (-6045)) / (-22748)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83667, \"b\": -6045, \"c\": -22748}", "seed": "3007428081739341988", "semantic_fingerprint": "sha256:c61476c1578298e5a674b372c03b34b0c2d43b6e5974c4970ae33ca3bc4af376", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002606", "prompt": "Solve for x: 26x + 1195 = 29x", "solution_steps": ["Subtract 29x from both sides: -3x + 1195 = 0", "Subtract 1195 from both sides: -3x = -1195", "Divide both sides by -3: x = 1195/3"], "final_answer": "1195/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 1195 = 29x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 1195, \"c\": 29}", "seed": "15526514674688689621", "semantic_fingerprint": "sha256:5fc6fbc9da723c73574c8b864a47a8fa9c9fa40c6fafc2d61f000e716f97fad6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002607", "prompt": "Find x: 14(x + 1762) - 53007 = x", "solution_steps": ["Expand: 14x + 24668 - 53007 = x", "Combine constants: 14x - 28339 = x", "Subtract x from both sides: 13x - 28339 = 0", "Add 28339 to both sides: 13x = 28339", "Divide both sides by 13: x = 28339/13"], "final_answer": "28339/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 1762) - 53007 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 1762, \"c\": 53007}", "seed": "8366525421635818625", "semantic_fingerprint": "sha256:d4885be049169f15c032e7f83b47bf29ec15700d3e70e7e50b166df383a5412b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002608", "prompt": "Compute: -9541 - (-96745 + 2076)", "solution_steps": ["Add: -96745 + 2076 = -94669", "Subtract: -9541 - (-94669) = 85128"], "final_answer": "85128", "answer_type": "integer", "kind": "expression", "math_text": "-9541 - (-96745 + 2076)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9541, \"b\": -96745, \"c\": 2076}", "seed": "8535182126341345778", "semantic_fingerprint": "sha256:56e63ec35244ef32af39d6b3df729e631609bf044cbcbfa40a9eaa05b80f4ad9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002609", "prompt": "Compute: 52450 / (-1284 + (-4867))", "solution_steps": ["Add: -1284 + (-4867) = -6151", "Divide: 52450 / (-6151) = -52450/6151"], "final_answer": "-52450/6151", "answer_type": "rational", "kind": "expression", "math_text": "52450 / (-1284 + (-4867))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 52450, \"b\": -1284, \"c\": -4867}", "seed": "16478105394204086399", "semantic_fingerprint": "sha256:298a67c559866aeb914c84049a0667af2d434acc2805b2040bde406aa289b2c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002610", "prompt": "Compute: -48011 + (-7122 - 7232)", "solution_steps": ["Subtract: -7122 - 7232 = -14354", "Add: -48011 + (-14354) = -62365"], "final_answer": "-62365", "answer_type": "integer", "kind": "expression", "math_text": "-48011 + (-7122 - 7232)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48011, \"b\": -7122, \"c\": 7232}", "seed": "3754224900246935703", "semantic_fingerprint": "sha256:40b879db8b658a88c101ead64e7e9529d8ac3ab2573502b9dcd321f3b79b219c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002611", "prompt": "What value of x satisfies x - 29223 = 33x - 25575?", "solution_steps": ["Subtract 33x from both sides: -32x - 29223 = -25575", "Add 29223 to both sides: -32x = 3648", "Divide both sides by -32: x = -114"], "final_answer": "-114", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 29223 = 33x - 25575", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29223, \"b\": 33, \"d\": -25575, \"x\": -114}", "seed": "2739936476922447943", "semantic_fingerprint": "sha256:36b45c9cd29636e6443fa80ab408f6661855ad70745570c34bb05e2dd6c1d9ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002612", "prompt": "What is (-6610 - 92778) * (-2126) / (-90787) + (-7537)?", "solution_steps": ["Subtract: -6610 - 92778 = -99388", "Multiply: -99388 * (-2126) = 211298888", "Divide: 211298888 / (-90787) = -211298888/90787", "Add: -211298888/90787 + (-7537) = -895560507/90787"], "final_answer": "-895560507/90787", "answer_type": "rational", "kind": "expression", "math_text": "(-6610 - 92778) * (-2126) / (-90787) + (-7537)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6610, \"b\": 92778, \"c\": -2126, \"d\": -90787, \"e\": -7537}", "seed": "17353782632146914295", "semantic_fingerprint": "sha256:5b8a7c17b252a62be28c66cbb5d3b6d3c458680e4eeada2048b1e4d6a25d209b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002613", "prompt": "Solve the equation 17x = -25x - 7224 for x.", "solution_steps": ["Add 25x to both sides: 42x = -7224", "Divide both sides by 42: x = -172"], "final_answer": "-172", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x = -25x - 7224", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": -25, \"d\": -7224, \"x\": -172}", "seed": "747292788611184608", "semantic_fingerprint": "sha256:faa31d7f6fff384879f58d2dd5486e1e2773888820c92e47562496558aff42ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002614", "prompt": "Compute: (2811 + 78673) * (-60816)", "solution_steps": ["Add: 2811 + 78673 = 81484", "Multiply: 81484 * (-60816) = -4955530944"], "final_answer": "-4955530944", "answer_type": "integer", "kind": "expression", "math_text": "(2811 + 78673) * (-60816)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2811, \"b\": 78673, \"c\": -60816}", "seed": "17017203897851185992", "semantic_fingerprint": "sha256:61c0c5b2294962eaeb23617d8c48765c076aa6206d37ae0468d3ddb55bf77b51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002615", "prompt": "What is 8702 / (-6050) + 57529 * (-3624) - (-81511)?", "solution_steps": ["Divide: 8702 / (-6050) = -4351/3025", "Multiply: 57529 * (-3624) = -208485096", "Add: -4351/3025 + (-208485096) = -630667419751/3025", "Subtract: -630667419751/3025 - (-81511) = -630420848976/3025"], "final_answer": "-630420848976/3025", "answer_type": "rational", "kind": "expression", "math_text": "8702 / (-6050) + 57529 * (-3624) - (-81511)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8702, \"b\": -6050, \"c\": 57529, \"d\": -3624, \"e\": -81511}", "seed": "10728656998272713734", "semantic_fingerprint": "sha256:1f02096a3ba1de3166fa20f5152a14bbde6627ec9b424705d4c8849dee6768ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002616", "prompt": "Evaluate: -73938 + 6699 * 9439", "solution_steps": ["Multiply: 6699 * 9439 = 63231861", "Add: -73938 + 63231861 = 63157923"], "final_answer": "63157923", "answer_type": "integer", "kind": "expression", "math_text": "-73938 + 6699 * 9439", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -73938, \"b\": 6699, \"c\": 9439}", "seed": "13537925738765271249", "semantic_fingerprint": "sha256:6b7602aea87eef495a46512ca355cde3d647e99d542b2d739be99537997ca44e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002617", "prompt": "Compute: -3191 * 6838 * (-5306)", "solution_steps": ["Multiply: -3191 * 6838 = -21820058", "Multiply: -21820058 * (-5306) = 115777227748"], "final_answer": "115777227748", "answer_type": "integer", "kind": "expression", "math_text": "-3191 * 6838 * (-5306)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3191, \"b\": 6838, \"c\": -5306}", "seed": "17696226040638480860", "semantic_fingerprint": "sha256:26e6cd5c5fd18f4a94c6b192ee3903af83c9bde727b582bf889b2ae69bc9f28a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002618", "prompt": "Solve for x: 15(x + 17421) + 42749 = -33x", "solution_steps": ["Expand: 15x + 261315 + 42749 = -33x", "Combine constants: 15x + 304064 = -33x", "Add 33x to both sides: 48x + 304064 = 0", "Subtract 304064 from both sides: 48x = -304064", "Divide both sides by 48: x = -19004/3"], "final_answer": "-19004/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 17421) + 42749 = -33x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 17421, \"c\": 42749, \"d\": -33}", "seed": "7907983595628131991", "semantic_fingerprint": "sha256:0e1b07a109874710a93327d066b0696f9287483a0b73c73b1aa97381983df53d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002619", "prompt": "Evaluate: 4259 + (1393 - (-46335)) / 6924", "solution_steps": ["Subtract: 1393 - (-46335) = 47728", "Divide: 47728 / 6924 = 11932/1731", "Add: 4259 + 11932/1731 = 7384261/1731"], "final_answer": "7384261/1731", "answer_type": "rational", "kind": "expression", "math_text": "4259 + (1393 - (-46335)) / 6924", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4259, \"b\": 1393, \"c\": -46335, \"d\": 6924}", "seed": "7032896482511461274", "semantic_fingerprint": "sha256:455f456903121f46a46e97cbe297311b94a627f2ec7b3c84acc5703b29c427b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002620", "prompt": "Solve for x: 20x = -32x - 4108", "solution_steps": ["Add 32x to both sides: 52x = -4108", "Divide both sides by 52: x = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = -32x - 4108", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": -32, \"d\": -4108, \"x\": -79}", "seed": "7276035924931942984", "semantic_fingerprint": "sha256:181a46742040814e4c0cae49414eccabcb92b07d2697d2463ffcc4a81bf35135", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002621", "prompt": "Calculate: -2625 / (-69006) - 2138 + (-6154)", "solution_steps": ["Divide: -2625 / (-69006) = 125/3286", "Subtract: 125/3286 - 2138 = -7025343/3286", "Add: -7025343/3286 + (-6154) = -27247387/3286"], "final_answer": "-27247387/3286", "answer_type": "rational", "kind": "expression", "math_text": "-2625 / (-69006) - 2138 + (-6154)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2625, \"b\": -69006, \"c\": 2138, \"d\": -6154}", "seed": "6891305848829363023", "semantic_fingerprint": "sha256:fb1941370022e47074df7751d92762363afca3494bce6f3ed34d7a9b6b62fc0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002622", "prompt": "Solve the equation x - 2584 = -33x for x.", "solution_steps": ["Add 33x to both sides: 34x - 2584 = 0", "Add 2584 to both sides: 34x = 2584", "Divide both sides by 34: x = 76"], "final_answer": "76", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2584 = -33x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33, \"c\": -2584, \"x\": 76}", "seed": "5702982959892848", "semantic_fingerprint": "sha256:7369e61b82276164254190918295f5536dd27f5f639d9c7edbc0b57b9ddd42b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002623", "prompt": "What value of x satisfies 17(x - 2828) = 27(x + 39187)?", "solution_steps": ["Expand: 17x - 48076 = 27(x + 39187)", "Expand: 17x - 48076 = 27x + 1058049", "Subtract 27x from both sides: -10x - 48076 = 1058049", "Add 48076 to both sides: -10x = 1106125", "Divide both sides by -10: x = -221225/2"], "final_answer": "-221225/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 2828) = 27(x + 39187)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 2828, \"c\": 27, \"d\": 39187}", "seed": "16832616798222394104", "semantic_fingerprint": "sha256:8016391b0cbb6bd3cdcb83778b982690fbd61e2294b949a60d28351d89858cc7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002624", "prompt": "Evaluate: -25624 * (-9746 - (-1203 + (-1222)))", "solution_steps": ["Add: -1203 + (-1222) = -2425", "Subtract: -9746 - (-2425) = -7321", "Multiply: -25624 * (-7321) = 187593304"], "final_answer": "187593304", "answer_type": "integer", "kind": "expression", "math_text": "-25624 * (-9746 - (-1203 + (-1222)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25624, \"b\": -9746, \"c\": -1203, \"d\": -1222}", "seed": "2564666101953975086", "semantic_fingerprint": "sha256:a955515081d5fd4ba6f9513e07996291423c12204ea7a6870714bdd452135e31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002625", "prompt": "What is -4367 + (-25393) + 66673?", "solution_steps": ["Add: -4367 + (-25393) = -29760", "Add: -29760 + 66673 = 36913"], "final_answer": "36913", "answer_type": "integer", "kind": "expression", "math_text": "-4367 + (-25393) + 66673", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4367, \"b\": -25393, \"c\": 66673}", "seed": "5544094262502254795", "semantic_fingerprint": "sha256:73efbfb528e2c2eaa84a7dd76f1227b6dfa0131980764c791bd3169e1530c2bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002626", "prompt": "Calculate: (-2344 + (-2159)) * ((-98576 + (-80315)) / 8381)", "solution_steps": ["Add: -2344 + (-2159) = -4503", "Add: -98576 + (-80315) = -178891", "Divide: -178891 / 8381 = -619/29", "Multiply: -4503 * (-619/29) = 2787357/29"], "final_answer": "2787357/29", "answer_type": "rational", "kind": "expression", "math_text": "(-2344 + (-2159)) * ((-98576 + (-80315)) / 8381)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2344, \"b\": -2159, \"c\": -98576, \"d\": -80315, \"e\": 8381}", "seed": "15520863057329151560", "semantic_fingerprint": "sha256:eb9450ce9c50f822c954d5cdb824947deeac0f232ef91d1ab6cea33e52097133", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002627", "prompt": "Calculate: 9899 * (8911 / (-8068))", "solution_steps": ["Divide: 8911 / (-8068) = -8911/8068", "Multiply: 9899 * (-8911/8068) = -88209989/8068"], "final_answer": "-88209989/8068", "answer_type": "rational", "kind": "expression", "math_text": "9899 * (8911 / (-8068))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9899, \"b\": 8911, \"c\": -8068}", "seed": "7650548930493860913", "semantic_fingerprint": "sha256:08838c27d2f407ef334656cb69ca9f64251e2c7f1525512afaa00195711b004a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002628", "prompt": "What is 52416 - (-27643 + 9073 - (-33460 - 18863) * (-1058))?", "solution_steps": ["Add: -27643 + 9073 = -18570", "Subtract: -33460 - 18863 = -52323", "Multiply: -52323 * (-1058) = 55357734", "Subtract: -18570 - 55357734 = -55376304", "Subtract: 52416 - (-55376304) = 55428720"], "final_answer": "55428720", "answer_type": "integer", "kind": "expression", "math_text": "52416 - (-27643 + 9073 - (-33460 - 18863) * (-1058))", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ n n) (* (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 52416, \"b\": -27643, \"c\": 9073, \"d\": -33460, \"e\": 18863, \"f\": -1058}", "seed": "16038401742484865993", "semantic_fingerprint": "sha256:32fe8eb076ab1ee3f4f0056cd7a833d1f58ff908f4a68e2f86e5f5ed18d6e5ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002629", "prompt": "Solve for x: x - 78956 = -23x - 75716", "solution_steps": ["Add 23x to both sides: 24x - 78956 = -75716", "Add 78956 to both sides: 24x = 3240", "Divide both sides by 24: x = 135"], "final_answer": "135", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 78956 = -23x - 75716", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78956, \"b\": -23, \"d\": -75716, \"x\": 135}", "seed": "18212343761321919395", "semantic_fingerprint": "sha256:b8eedbd03cbb19fc1d3272edc39fbaddf889bf6e8158637f07c5ff6c63fe8a6c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002630", "prompt": "Solve for x: 16(x + 6548) = -32x", "solution_steps": ["Expand: 16x + 104768 = -32x", "Add 32x to both sides: 48x + 104768 = 0", "Subtract 104768 from both sides: 48x = -104768", "Divide both sides by 48: x = -6548/3"], "final_answer": "-6548/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 6548) = -32x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 6548, \"c\": -32}", "seed": "9023184346949627941", "semantic_fingerprint": "sha256:79d481482803bbed0da02bed41086cc4412b2ea2339eef11eefbd4200eacccb6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002631", "prompt": "Compute: -3461 / 9989", "solution_steps": ["Divide: -3461 / 9989 = -3461/9989"], "final_answer": "-3461/9989", "answer_type": "rational", "kind": "expression", "math_text": "-3461 / 9989", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3461, \"b\": 9989}", "seed": "18257512678556504398", "semantic_fingerprint": "sha256:393e9bfd90747279657f5b4b606e2f0e9031ac5effacb67ef75c9a316384ef5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002632", "prompt": "What is 2609 * (-4751 / (-27908))?", "solution_steps": ["Divide: -4751 / (-27908) = 4751/27908", "Multiply: 2609 * (4751/27908) = 12395359/27908"], "final_answer": "12395359/27908", "answer_type": "rational", "kind": "expression", "math_text": "2609 * (-4751 / (-27908))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2609, \"b\": -4751, \"c\": -27908}", "seed": "10887666458985588617", "semantic_fingerprint": "sha256:5adf313001c0a480e56f0719c3cce2911beb95e25000f4607eea6b5ac2a9f8fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002633", "prompt": "Evaluate: -48777 - (-13149) + (9656 - (-9588))", "solution_steps": ["Subtract: -48777 - (-13149) = -35628", "Subtract: 9656 - (-9588) = 19244", "Add: -35628 + 19244 = -16384"], "final_answer": "-16384", "answer_type": "integer", "kind": "expression", "math_text": "-48777 - (-13149) + (9656 - (-9588))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -48777, \"b\": -13149, \"c\": 9656, \"d\": -9588}", "seed": "2760063249967162206", "semantic_fingerprint": "sha256:41d225ec8a395dd787cdf86996df7e2846c3d82062699a7f8713fac0534bfbe4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002634", "prompt": "What is (-3497 + (56596 - (3326 + (-2394)))) * (-92538)?", "solution_steps": ["Add: 3326 + (-2394) = 932", "Subtract: 56596 - 932 = 55664", "Add: -3497 + 55664 = 52167", "Multiply: 52167 * (-92538) = -4827429846"], "final_answer": "-4827429846", "answer_type": "integer", "kind": "expression", "math_text": "(-3497 + (56596 - (3326 + (-2394)))) * (-92538)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3497, \"b\": 56596, \"c\": 3326, \"d\": -2394, \"e\": -92538}", "seed": "17035639850817245112", "semantic_fingerprint": "sha256:75fad7c40eb87d8069541ecf207b001cdb78254e95608f7cbe00cf41f66bd328", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002635", "prompt": "Calculate: 46063 * 36025", "solution_steps": ["Multiply: 46063 * 36025 = 1659419575"], "final_answer": "1659419575", "answer_type": "integer", "kind": "expression", "math_text": "46063 * 36025", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 46063, \"b\": 36025}", "seed": "10689150465611905006", "semantic_fingerprint": "sha256:278b22f8837655fdfe7f1191a0a26c3f522f3b677932faf2459f562fddf4f6b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002636", "prompt": "Solve the equation 27(x + 4361) + 3524 = 18(x - 5799) + 9874 for x.", "solution_steps": ["Expand: 27x + 117747 + 3524 = 18(x - 5799) + 9874", "Expand: 27x + 117747 + 3524 = 18x - 104382 + 9874", "Combine constants: 27x + 121271 = 18x - 104382 + 9874", "Combine constants: 27x + 121271 = 18x - 94508", "Subtract 18x from both sides: 9x + 121271 = -94508", "Subtract 121271 from both sides: 9x = -215779", "Divide both sides by 9: x = -215779/9"], "final_answer": "-215779/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 4361) + 3524 = 18(x - 5799) + 9874", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 4361, \"c\": 3524, \"d\": 18, \"e\": 5799, \"f\": 9874}", "seed": "5154858259742013389", "semantic_fingerprint": "sha256:5df7a215faae7b2668da68a1a9a6b7733c158bd84453743ab52daf581e00e556", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002637", "prompt": "Calculate: 2899 * 2764 * 5739 + (40670 - (-4458))", "solution_steps": ["Multiply: 2899 * 2764 = 8012836", "Multiply: 8012836 * 5739 = 45985665804", "Subtract: 40670 - (-4458) = 45128", "Add: 45985665804 + 45128 = 45985710932"], "final_answer": "45985710932", "answer_type": "integer", "kind": "expression", "math_text": "2899 * 2764 * 5739 + (40670 - (-4458))", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2899, \"b\": 2764, \"c\": 5739, \"d\": 40670, \"e\": -4458}", "seed": "15014453728313254161", "semantic_fingerprint": "sha256:c356c3245c8ea1a541eabf314c00511c6b9d0f71f1bd07ff09d60c61645b9c21", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002638", "prompt": "Find x: x - 36888 = 32(x + 36684)", "solution_steps": ["Expand: x - 36888 = 32x + 1173888", "Subtract 32x from both sides: -31x - 36888 = 1173888", "Add 36888 to both sides: -31x = 1210776", "Divide both sides by -31: x = -1210776/31"], "final_answer": "-1210776/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 36888 = 32(x + 36684)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36888, \"b\": 32, \"c\": 36684}", "seed": "3099869335865664338", "semantic_fingerprint": "sha256:a2ab88045ed3571cab81a7a42f7ed978b47dbba8eb9bae079cf063d9eca75135", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002639", "prompt": "Solve the equation 32(x - 2732) = 37(x - 5770) for x.", "solution_steps": ["Expand: 32x - 87424 = 37(x - 5770)", "Expand: 32x - 87424 = 37x - 213490", "Subtract 37x from both sides: -5x - 87424 = -213490", "Add 87424 to both sides: -5x = -126066", "Divide both sides by -5: x = 126066/5"], "final_answer": "126066/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 2732) = 37(x - 5770)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 2732, \"c\": 37, \"d\": 5770}", "seed": "3466023511704253344", "semantic_fingerprint": "sha256:b0e5ef62efdf23378738e1d7b600b6b1cdd26bd05d13fb4f0c4f4ce936988005", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002640", "prompt": "Compute: 56859 - (35274 - 7626) / (-43844 - 1882)", "solution_steps": ["Subtract: 35274 - 7626 = 27648", "Subtract: -43844 - 1882 = -45726", "Divide: 27648 / (-45726) = -4608/7621", "Subtract: 56859 - (-4608/7621) = 433327047/7621"], "final_answer": "433327047/7621", "answer_type": "rational", "kind": "expression", "math_text": "56859 - (35274 - 7626) / (-43844 - 1882)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 56859, \"b\": 35274, \"c\": 7626, \"d\": -43844, \"e\": 1882}", "seed": "13224113004557336802", "semantic_fingerprint": "sha256:89d2cc12d6f22eb1aa8648854d3e5d803170e2cebd5fc7a55042765cf99ea32a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002641", "prompt": "Solve the equation -27(x - 2777) + 4260 = x - 8884 for x.", "solution_steps": ["Expand: -27x + 74979 + 4260 = x - 8884", "Combine constants: -27x + 79239 = x - 8884", "Subtract x from both sides: -28x + 79239 = -8884", "Subtract 79239 from both sides: -28x = -88123", "Divide both sides by -28: x = 12589/4"], "final_answer": "12589/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x - 2777) + 4260 = x - 8884", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 2777, \"c\": 4260, \"d\": 8884}", "seed": "8740725765978520743", "semantic_fingerprint": "sha256:ce29d7cc16f2fe57fd3d4766b27ef1bfe9daf59c3345597d3bdf4b5b01b852f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002642", "prompt": "Solve for x: -13(x - 5136) = 20x + 73170", "solution_steps": ["Expand: -13x + 66768 = 20x + 73170", "Subtract 20x from both sides: -33x + 66768 = 73170", "Subtract 66768 from both sides: -33x = 6402", "Divide both sides by -33: x = -194"], "final_answer": "-194", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x - 5136) = 20x + 73170", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 5136, \"c\": 20, \"e\": 73170, \"x\": -194}", "seed": "13488984574142708710", "semantic_fingerprint": "sha256:d6f293f29e342bec1e371961fb481f3c9851f094753cdfa9d7440e113ae2df63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002643", "prompt": "Evaluate: -9662 / (-2416) + 34206 - (-60142 - 8559)", "solution_steps": ["Divide: -9662 / (-2416) = 4831/1208", "Add: 4831/1208 + 34206 = 41325679/1208", "Subtract: -60142 - 8559 = -68701", "Subtract: 41325679/1208 - (-68701) = 124316487/1208"], "final_answer": "124316487/1208", "answer_type": "rational", "kind": "expression", "math_text": "-9662 / (-2416) + 34206 - (-60142 - 8559)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9662, \"b\": -2416, \"c\": 34206, \"d\": -60142, \"e\": 8559}", "seed": "7072081446702208502", "semantic_fingerprint": "sha256:d12a33846471bfc7c880c32ee55a9b322de67ce223c9af0899a95badfb3f7d39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002644", "prompt": "What is -5711 / (34806 - (-36520))?", "solution_steps": ["Subtract: 34806 - (-36520) = 71326", "Divide: -5711 / 71326 = -5711/71326"], "final_answer": "-5711/71326", "answer_type": "rational", "kind": "expression", "math_text": "-5711 / (34806 - (-36520))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5711, \"b\": 34806, \"c\": -36520}", "seed": "13570435998703065539", "semantic_fingerprint": "sha256:f444e5d5345dec19d6996c9faec6425f90bc55f88be4bc5d0452f7411f0d7046", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002645", "prompt": "Solve the equation -20x + 5942 = -27x for x.", "solution_steps": ["Add 27x to both sides: 7x + 5942 = 0", "Subtract 5942 from both sides: 7x = -5942", "Divide both sides by 7: x = -5942/7"], "final_answer": "-5942/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x + 5942 = -27x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 5942, \"c\": -27}", "seed": "8946684375984780124", "semantic_fingerprint": "sha256:550b4e32e525fdef1590e8a90ec474b42dde5a21ef0afa17d962779cb8cdb5f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002646", "prompt": "What is -11883 * (-2469 / (-9689)) / (-4938)?", "solution_steps": ["Divide: -2469 / (-9689) = 2469/9689", "Multiply: -11883 * (2469/9689) = -29339127/9689", "Divide: (-29339127/9689) / (-4938) = 11883/19378"], "final_answer": "11883/19378", "answer_type": "rational", "kind": "expression", "math_text": "-11883 * (-2469 / (-9689)) / (-4938)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -11883, \"b\": -2469, \"c\": -9689, \"d\": -4938}", "seed": "2357751152590764304", "semantic_fingerprint": "sha256:b9f6fdc3fa419c09e12d0792f8c4a0db6dcbc414a7c48ec3be7ced6d2669d656", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002647", "prompt": "Evaluate: -4939 + 3454 * 2716 + (-4147) * (-10038)", "solution_steps": ["Multiply: 3454 * 2716 = 9381064", "Add: -4939 + 9381064 = 9376125", "Multiply: -4147 * (-10038) = 41627586", "Add: 9376125 + 41627586 = 51003711"], "final_answer": "51003711", "answer_type": "integer", "kind": "expression", "math_text": "-4939 + 3454 * 2716 + (-4147) * (-10038)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4939, \"b\": 3454, \"c\": 2716, \"d\": -4147, \"e\": -10038}", "seed": "16720069441817137083", "semantic_fingerprint": "sha256:2f94813a620e8f034961325fc21ffda232e13d8c3a535e09c3d08d5bc5531eac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002648", "prompt": "Compute: -3883 - (-12504) * 6424", "solution_steps": ["Multiply: -12504 * 6424 = -80325696", "Subtract: -3883 - (-80325696) = 80321813"], "final_answer": "80321813", "answer_type": "integer", "kind": "expression", "math_text": "-3883 - (-12504) * 6424", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3883, \"b\": -12504, \"c\": 6424}", "seed": "1459667991693306547", "semantic_fingerprint": "sha256:1dc5355f4d6b7e0c1528131830f7f72c358fa40feaf341b800bf3a1905ae1562", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002649", "prompt": "Solve the equation x + 2166 = 20x for x.", "solution_steps": ["Subtract 20x from both sides: -19x + 2166 = 0", "Subtract 2166 from both sides: -19x = -2166", "Divide both sides by -19: x = 114"], "final_answer": "114", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2166 = 20x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 2166, \"x\": 114}", "seed": "4273860164243866740", "semantic_fingerprint": "sha256:d20779a4347788fff365b22e70d9f1091ade006b3adca73fd4750a339325909d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002650", "prompt": "Compute: 3683 * (9479 + (-12374) * (-9703) / (-4267)) - 7609", "solution_steps": ["Multiply: -12374 * (-9703) = 120064922", "Divide: 120064922 / (-4267) = -120064922/4267", "Add: 9479 + (-120064922/4267) = -79618029/4267", "Multiply: 3683 * (-79618029/4267) = -293233200807/4267", "Subtract: -293233200807/4267 - 7609 = -293265668410/4267"], "final_answer": "-293265668410/4267", "answer_type": "rational", "kind": "expression", "math_text": "3683 * (9479 + (-12374) * (-9703) / (-4267)) - 7609", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n (/ (* n n) n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3683, \"b\": 9479, \"c\": -12374, \"d\": -9703, \"e\": -4267, \"f\": 7609}", "seed": "3353388960320707925", "semantic_fingerprint": "sha256:dde6edcf47dd5cc571d36669a4be7426410e193b41c56dbd5531d6cb18cbe8ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002651", "prompt": "Solve the equation 31x - 14113 = x - 8623 for x.", "solution_steps": ["Subtract x from both sides: 30x - 14113 = -8623", "Add 14113 to both sides: 30x = 5490", "Divide both sides by 30: x = 183"], "final_answer": "183", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x - 14113 = x - 8623", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 14113, \"d\": -8623, \"x\": 183}", "seed": "1615203548442856685", "semantic_fingerprint": "sha256:e0134e6d5e2b344b9b8ab91983689a95a58c67602f538472751dc3ebc641fd66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002652", "prompt": "Find x: 14x + 47509 = x + 45624", "solution_steps": ["Subtract x from both sides: 13x + 47509 = 45624", "Subtract 47509 from both sides: 13x = -1885", "Divide both sides by 13: x = -145"], "final_answer": "-145", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x + 47509 = x + 45624", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 47509, \"d\": 45624, \"x\": -145}", "seed": "12511376713851881362", "semantic_fingerprint": "sha256:2ca64b05b3dfca4bda6026583281f4ba346b49aae77e26d39ecc3abcb2137a73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002653", "prompt": "Compute: -7928 + (-9231) * (-53322) - (-56112)", "solution_steps": ["Multiply: -9231 * (-53322) = 492215382", "Add: -7928 + 492215382 = 492207454", "Subtract: 492207454 - (-56112) = 492263566"], "final_answer": "492263566", "answer_type": "integer", "kind": "expression", "math_text": "-7928 + (-9231) * (-53322) - (-56112)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7928, \"b\": -9231, \"c\": -53322, \"d\": -56112}", "seed": "13872555346253389784", "semantic_fingerprint": "sha256:10d9d4ed7976690484453086e032284ff2687c0ac9ee050d7faf37d867d91331", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002654", "prompt": "What is -3043 / (8986 - 5333)?", "solution_steps": ["Subtract: 8986 - 5333 = 3653", "Divide: -3043 / 3653 = -3043/3653"], "final_answer": "-3043/3653", "answer_type": "rational", "kind": "expression", "math_text": "-3043 / (8986 - 5333)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3043, \"b\": 8986, \"c\": 5333}", "seed": "13128345918260789668", "semantic_fingerprint": "sha256:24c11235efd6a9f36a85bd1b76006be106932c484fef014b7a377f02b1105d77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002655", "prompt": "Compute: -12357 + (-2582 + (-1736))", "solution_steps": ["Add: -2582 + (-1736) = -4318", "Add: -12357 + (-4318) = -16675"], "final_answer": "-16675", "answer_type": "integer", "kind": "expression", "math_text": "-12357 + (-2582 + (-1736))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12357, \"b\": -2582, \"c\": -1736}", "seed": "690390145011301058", "semantic_fingerprint": "sha256:821f65ea3e6ec9ac9b74908d7cd2ecb2fb586e8a7f9d7e41d2193e3792a4233b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002656", "prompt": "Solve for x: 27(x + 8153) + 6758 = 13(x - 8816) + 2492", "solution_steps": ["Expand: 27x + 220131 + 6758 = 13(x - 8816) + 2492", "Expand: 27x + 220131 + 6758 = 13x - 114608 + 2492", "Combine constants: 27x + 226889 = 13x - 114608 + 2492", "Combine constants: 27x + 226889 = 13x - 112116", "Subtract 13x from both sides: 14x + 226889 = -112116", "Subtract 226889 from both sides: 14x = -339005", "Divide both sides by 14: x = -339005/14"], "final_answer": "-339005/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 8153) + 6758 = 13(x - 8816) + 2492", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 8153, \"c\": 6758, \"d\": 13, \"e\": 8816, \"f\": 2492}", "seed": "2843863749114629033", "semantic_fingerprint": "sha256:7aaa74d2644e2d99b5a473a578491672a2f95f1b2745f01c0e94cb1d25a4b944", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002657", "prompt": "Calculate: 45782 / (-3371 + (-4984))", "solution_steps": ["Add: -3371 + (-4984) = -8355", "Divide: 45782 / (-8355) = -45782/8355"], "final_answer": "-45782/8355", "answer_type": "rational", "kind": "expression", "math_text": "45782 / (-3371 + (-4984))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45782, \"b\": -3371, \"c\": -4984}", "seed": "1414864777274675191", "semantic_fingerprint": "sha256:115828d3bd1b66dbe9e73234f49011eadd443930ad28be98ed0fc4859b6aab85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002658", "prompt": "Calculate: 24736 / (5021 / (-9378))", "solution_steps": ["Divide: 5021 / (-9378) = -5021/9378", "Divide: 24736 / (-5021/9378) = -231974208/5021"], "final_answer": "-231974208/5021", "answer_type": "rational", "kind": "expression", "math_text": "24736 / (5021 / (-9378))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24736, \"b\": 5021, \"c\": -9378}", "seed": "17758029806787462446", "semantic_fingerprint": "sha256:4486803f2a3294413503fee23fdfeb4db47afc4d8b8095ec02e6b13d84253224", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002659", "prompt": "Calculate: -49030 - (-8573 * (-67351 + (-7380)) - 9799)", "solution_steps": ["Add: -67351 + (-7380) = -74731", "Multiply: -8573 * (-74731) = 640668863", "Subtract: 640668863 - 9799 = 640659064", "Subtract: -49030 - 640659064 = -640708094"], "final_answer": "-640708094", "answer_type": "integer", "kind": "expression", "math_text": "-49030 - (-8573 * (-67351 + (-7380)) - 9799)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -49030, \"b\": -8573, \"c\": -67351, \"d\": -7380, \"e\": 9799}", "seed": "8791126555797510573", "semantic_fingerprint": "sha256:80dfbc004bc48bff9b2e601df8a034c36324e56a634265d9f6c5a80ef972b18e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002660", "prompt": "What is 2555 * (-56413)?", "solution_steps": ["Multiply: 2555 * (-56413) = -144135215"], "final_answer": "-144135215", "answer_type": "integer", "kind": "expression", "math_text": "2555 * (-56413)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2555, \"b\": -56413}", "seed": "8649836731436682224", "semantic_fingerprint": "sha256:b3c1426c2b189e1ae7f901939a56a8e0c9faf4c28092b4214b7986bdafb64524", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002661", "prompt": "Solve for x: -37(x - 6333) + 4173 = 34(x + 9399) + 9386", "solution_steps": ["Expand: -37x + 234321 + 4173 = 34(x + 9399) + 9386", "Expand: -37x + 234321 + 4173 = 34x + 319566 + 9386", "Combine constants: -37x + 238494 = 34x + 319566 + 9386", "Combine constants: -37x + 238494 = 34x + 328952", "Subtract 34x from both sides: -71x + 238494 = 328952", "Subtract 238494 from both sides: -71x = 90458", "Divide both sides by -71: x = -90458/71"], "final_answer": "-90458/71", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x - 6333) + 4173 = 34(x + 9399) + 9386", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 6333, \"c\": 4173, \"d\": 34, \"e\": 9399, \"f\": 9386}", "seed": "8340313229353531442", "semantic_fingerprint": "sha256:2dd9f6edb320d1cc7afd3bfd5787ae82c2e212db3fac8c8b0af0977cccb1cf4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002662", "prompt": "What is -9402 * (96506 - (-4355))?", "solution_steps": ["Subtract: 96506 - (-4355) = 100861", "Multiply: -9402 * 100861 = -948295122"], "final_answer": "-948295122", "answer_type": "integer", "kind": "expression", "math_text": "-9402 * (96506 - (-4355))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9402, \"b\": 96506, \"c\": -4355}", "seed": "9220632884759045098", "semantic_fingerprint": "sha256:71bddabd371f145a1d552eb83e29a9c3239fc8646ccc292958780664041c196d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002663", "prompt": "Solve the equation -22(x - 98637) - 39867 = 31(x + 11984) + 57923 for x.", "solution_steps": ["Expand: -22x + 2170014 - 39867 = 31(x + 11984) + 57923", "Expand: -22x + 2170014 - 39867 = 31x + 371504 + 57923", "Combine constants: -22x + 2130147 = 31x + 371504 + 57923", "Combine constants: -22x + 2130147 = 31x + 429427", "Subtract 31x from both sides: -53x + 2130147 = 429427", "Subtract 2130147 from both sides: -53x = -1700720", "Divide both sides by -53: x = 1700720/53"], "final_answer": "1700720/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x - 98637) - 39867 = 31(x + 11984) + 57923", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 98637, \"c\": 39867, \"d\": 31, \"e\": 11984, \"f\": 57923}", "seed": "293757100128103424", "semantic_fingerprint": "sha256:0dfec599daa415b21bdec92b147d431b92f779bc374b8fb9d3bb449000ed9317", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002664", "prompt": "Solve the equation 17x + 8636 = x for x.", "solution_steps": ["Subtract x from both sides: 16x + 8636 = 0", "Subtract 8636 from both sides: 16x = -8636", "Divide both sides by 16: x = -2159/4"], "final_answer": "-2159/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x + 8636 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 8636}", "seed": "8683848181470508205", "semantic_fingerprint": "sha256:5dd960bf54ef38f62dfc73b83ff3d23ca1c05512fd53ffda7618b255f1790519", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002665", "prompt": "Calculate: (-7877 - (-7966)) / (87514 - (-1862 + (-9850)))", "solution_steps": ["Subtract: -7877 - (-7966) = 89", "Add: -1862 + (-9850) = -11712", "Subtract: 87514 - (-11712) = 99226", "Divide: 89 / 99226 = 89/99226"], "final_answer": "89/99226", "answer_type": "rational", "kind": "expression", "math_text": "(-7877 - (-7966)) / (87514 - (-1862 + (-9850)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7877, \"b\": -7966, \"c\": 87514, \"d\": -1862, \"e\": -9850}", "seed": "3707141450597847724", "semantic_fingerprint": "sha256:d6892d530848d762158203d5ab359b5000abc2fdc46d4e019591f8ffc8e6d10a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002666", "prompt": "Calculate: 8174 * (-35787)", "solution_steps": ["Multiply: 8174 * (-35787) = -292522938"], "final_answer": "-292522938", "answer_type": "integer", "kind": "expression", "math_text": "8174 * (-35787)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8174, \"b\": -35787}", "seed": "627407521102119400", "semantic_fingerprint": "sha256:dc6abc1a7bb9527fb94c3ba0d55b7d2bfb29dddba39e20ce40518070f8888319", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002667", "prompt": "What is 7661 - (4881 + 96506) * (-62216)?", "solution_steps": ["Add: 4881 + 96506 = 101387", "Multiply: 101387 * (-62216) = -6307893592", "Subtract: 7661 - (-6307893592) = 6307901253"], "final_answer": "6307901253", "answer_type": "integer", "kind": "expression", "math_text": "7661 - (4881 + 96506) * (-62216)", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7661, \"b\": 4881, \"c\": 96506, \"d\": -62216}", "seed": "15378618236133567956", "semantic_fingerprint": "sha256:cc4fa68f1add1bf74a4724f917991bf412dcea0b6140a33291ad4985ddaf08cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002668", "prompt": "Solve for x: -25(x - 86648) - 6893 = 17(x + 7303)", "solution_steps": ["Expand: -25x + 2166200 - 6893 = 17(x + 7303)", "Expand: -25x + 2166200 - 6893 = 17x + 124151", "Combine constants: -25x + 2159307 = 17x + 124151", "Subtract 17x from both sides: -42x + 2159307 = 124151", "Subtract 2159307 from both sides: -42x = -2035156", "Divide both sides by -42: x = 1017578/21"], "final_answer": "1017578/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 86648) - 6893 = 17(x + 7303)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 86648, \"c\": 6893, \"d\": 17, \"e\": 7303}", "seed": "6509102472097100230", "semantic_fingerprint": "sha256:58fc00e7adfdadbf430629b2ce8c8ebc5667b2198abd61b8854fc1bf406d55ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002669", "prompt": "What is -62196 / (-4156)?", "solution_steps": ["Divide: -62196 / (-4156) = 15549/1039"], "final_answer": "15549/1039", "answer_type": "rational", "kind": "expression", "math_text": "-62196 / (-4156)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62196, \"b\": -4156}", "seed": "14549455085038496064", "semantic_fingerprint": "sha256:711cb3ae93de3f9907f4e226c657aa30b4cb37780a0c7016bca2a8ca8dbc0b1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002670", "prompt": "Find x: 31(x + 3835) = -14x + 9978", "solution_steps": ["Expand: 31x + 118885 = -14x + 9978", "Add 14x to both sides: 45x + 118885 = 9978", "Subtract 118885 from both sides: 45x = -108907", "Divide both sides by 45: x = -108907/45"], "final_answer": "-108907/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 3835) = -14x + 9978", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 3835, \"c\": -14, \"d\": 9978}", "seed": "11891535921948013211", "semantic_fingerprint": "sha256:924a3b6e55cab862f67d107fb6d657dcd09322c7b31601b986b0a2915805732b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002671", "prompt": "Calculate: -88172 * (-4731)", "solution_steps": ["Multiply: -88172 * (-4731) = 417141732"], "final_answer": "417141732", "answer_type": "integer", "kind": "expression", "math_text": "-88172 * (-4731)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -88172, \"b\": -4731}", "seed": "8778341197644535784", "semantic_fingerprint": "sha256:ebc367aa756bbca7b33887cba6d50dab98a44a10968a0012afff42fb95d1f639", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002672", "prompt": "Compute: -2620 * (-94146 * (4447 / 99865))", "solution_steps": ["Divide: 4447 / 99865 = 4447/99865", "Multiply: -94146 * (4447/99865) = -418667262/99865", "Multiply: -2620 * (-418667262/99865) = 219381645288/19973"], "final_answer": "219381645288/19973", "answer_type": "rational", "kind": "expression", "math_text": "-2620 * (-94146 * (4447 / 99865))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2620, \"b\": -94146, \"c\": 4447, \"d\": 99865}", "seed": "1658417879622461231", "semantic_fingerprint": "sha256:faf3d9fbf7f7d78bd9c80472b600a8ffd6f2c95061233a335008af172baa5edc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002673", "prompt": "Solve for x: 15x + 17787 = -17x + 35484", "solution_steps": ["Add 17x to both sides: 32x + 17787 = 35484", "Subtract 17787 from both sides: 32x = 17697", "Divide both sides by 32: x = 17697/32"], "final_answer": "17697/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x + 17787 = -17x + 35484", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 17787, \"c\": -17, \"d\": 35484}", "seed": "6335771940820063981", "semantic_fingerprint": "sha256:a6de597dc780c90141fec2aaeeca0bd29e05b8ba103031548eedab924b5cd0f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002674", "prompt": "What is (45369 - 11498) * 2798 * (-9531) / (-9769 + 81957)?", "solution_steps": ["Subtract: 45369 - 11498 = 33871", "Multiply: 33871 * 2798 = 94771058", "Multiply: 94771058 * (-9531) = -903262953798", "Add: -9769 + 81957 = 72188", "Divide: -903262953798 / 72188 = -451631476899/36094"], "final_answer": "-451631476899/36094", "answer_type": "rational", "kind": "expression", "math_text": "(45369 - 11498) * 2798 * (-9531) / (-9769 + 81957)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 45369, \"b\": 11498, \"c\": 2798, \"d\": -9531, \"e\": -9769, \"f\": 81957}", "seed": "2363701134297290793", "semantic_fingerprint": "sha256:679175f7c856eb1b209af93f9af5d4ae024941bbefd3ff2110c3f83d0ffc8b1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002675", "prompt": "Evaluate: -4373 * 18390 - 9823", "solution_steps": ["Multiply: -4373 * 18390 = -80419470", "Subtract: -80419470 - 9823 = -80429293"], "final_answer": "-80429293", "answer_type": "integer", "kind": "expression", "math_text": "-4373 * 18390 - 9823", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4373, \"b\": 18390, \"c\": 9823}", "seed": "11672166584959244031", "semantic_fingerprint": "sha256:81ff5c5e8b0c1f6f43877f2921279fdc3742dbff1b9e0a38e278a828f254fc1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002676", "prompt": "Find x: x - 80155 = 37x - 75691", "solution_steps": ["Subtract 37x from both sides: -36x - 80155 = -75691", "Add 80155 to both sides: -36x = 4464", "Divide both sides by -36: x = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 80155 = 37x - 75691", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80155, \"b\": 37, \"d\": -75691, \"x\": -124}", "seed": "15980304021820898401", "semantic_fingerprint": "sha256:3e7e4400bf9e22700bfefe2271a03aa1bdd7adaecc8fbad91c67a0fd2fe90800", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002677", "prompt": "What is 46794 + (-6113) + (1725 - (-39172) * 7857)?", "solution_steps": ["Add: 46794 + (-6113) = 40681", "Multiply: -39172 * 7857 = -307774404", "Subtract: 1725 - (-307774404) = 307776129", "Add: 40681 + 307776129 = 307816810"], "final_answer": "307816810", "answer_type": "integer", "kind": "expression", "math_text": "46794 + (-6113) + (1725 - (-39172) * 7857)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 46794, \"b\": -6113, \"c\": 1725, \"d\": -39172, \"e\": 7857}", "seed": "2896872635482743493", "semantic_fingerprint": "sha256:170c255529b167280370479c4aabba34f656516b1729011c5cc35348b0426b14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002678", "prompt": "Evaluate: -6660 * (-8440)", "solution_steps": ["Multiply: -6660 * (-8440) = 56210400"], "final_answer": "56210400", "answer_type": "integer", "kind": "expression", "math_text": "-6660 * (-8440)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6660, \"b\": -8440}", "seed": "12423672048213209327", "semantic_fingerprint": "sha256:5a9b51d68c259d45921d70202c48f7bab3adacd91a03fe50bdc83e4328f423c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002679", "prompt": "Compute: -17382 - (-30432 + 6038)", "solution_steps": ["Add: -30432 + 6038 = -24394", "Subtract: -17382 - (-24394) = 7012"], "final_answer": "7012", "answer_type": "integer", "kind": "expression", "math_text": "-17382 - (-30432 + 6038)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17382, \"b\": -30432, \"c\": 6038}", "seed": "7559055247123839356", "semantic_fingerprint": "sha256:044a5f76e23c18271a85de974f380e9eaeebab641e4a46f54a7ea42d10c1f878", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002680", "prompt": "What value of x satisfies 14(x - 3975) = x - 57288?", "solution_steps": ["Expand: 14x - 55650 = x - 57288", "Subtract x from both sides: 13x - 55650 = -57288", "Add 55650 to both sides: 13x = -1638", "Divide both sides by 13: x = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 3975) = x - 57288", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 3975, \"d\": -57288, \"x\": -126}", "seed": "5179663762405352744", "semantic_fingerprint": "sha256:5b3717ae85e1bafeb14a25073eee871a43bebbd227abeda21347fff341d87a89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002681", "prompt": "Find x: -21x = x - 2024", "solution_steps": ["Subtract x from both sides: -22x = -2024", "Divide both sides by -22: x = 92"], "final_answer": "92", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x = x - 2024", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"c\": -2024, \"x\": 92}", "seed": "3925209419525870182", "semantic_fingerprint": "sha256:e2fba28811ecfb569a689112b9c02208feb7564d00292e7bcda1d86ac5604ce7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002682", "prompt": "Calculate: 66140 * (-21915) + 32080", "solution_steps": ["Multiply: 66140 * (-21915) = -1449458100", "Add: -1449458100 + 32080 = -1449426020"], "final_answer": "-1449426020", "answer_type": "integer", "kind": "expression", "math_text": "66140 * (-21915) + 32080", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66140, \"b\": -21915, \"c\": 32080}", "seed": "4887921135329908907", "semantic_fingerprint": "sha256:d8434a3cce9a9379799120407e064cafe84e15c19196882a20a86d3700e5edfe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002683", "prompt": "What is 9643 * (53027 / (-5795 - (-56661)))?", "solution_steps": ["Subtract: -5795 - (-56661) = 50866", "Divide: 53027 / 50866 = 53027/50866", "Multiply: 9643 * (53027/50866) = 511339361/50866"], "final_answer": "511339361/50866", "answer_type": "rational", "kind": "expression", "math_text": "9643 * (53027 / (-5795 - (-56661)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9643, \"b\": 53027, \"c\": -5795, \"d\": -56661}", "seed": "12054387902823703784", "semantic_fingerprint": "sha256:776c5aee8991452c92cb2f38f1881425f4be33093300087f72e6377d0df56a6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002684", "prompt": "Calculate: -4354 - (2957 + 5520 - (-1868))", "solution_steps": ["Add: 2957 + 5520 = 8477", "Subtract: 8477 - (-1868) = 10345", "Subtract: -4354 - 10345 = -14699"], "final_answer": "-14699", "answer_type": "integer", "kind": "expression", "math_text": "-4354 - (2957 + 5520 - (-1868))", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4354, \"b\": 2957, \"c\": 5520, \"d\": -1868}", "seed": "2975971389342356630", "semantic_fingerprint": "sha256:4cdf0b85bbb74da189298e359b3d82ea7631b32a43c33104651ec71891200166", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002685", "prompt": "Solve for x: 14(x - 17784) = 32x", "solution_steps": ["Expand: 14x - 248976 = 32x", "Subtract 32x from both sides: -18x - 248976 = 0", "Add 248976 to both sides: -18x = 248976", "Divide both sides by -18: x = -13832"], "final_answer": "-13832", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 17784) = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 17784, \"c\": 32}", "seed": "18260563375899028392", "semantic_fingerprint": "sha256:a49a44a4e82f681fc21721bbdef11588200fe7d54bb643b44a1e8f80ebc6f633", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002686", "prompt": "What is 96749 / (-1194 - 5310) - 59632?", "solution_steps": ["Subtract: -1194 - 5310 = -6504", "Divide: 96749 / (-6504) = -96749/6504", "Subtract: -96749/6504 - 59632 = -387943277/6504"], "final_answer": "-387943277/6504", "answer_type": "rational", "kind": "expression", "math_text": "96749 / (-1194 - 5310) - 59632", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96749, \"b\": -1194, \"c\": 5310, \"d\": 59632}", "seed": "18414177393923725556", "semantic_fingerprint": "sha256:12f9976c0cf82fa9ac9637064e84b5cee2b5d1895e4d30466a310598a5ef07e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002687", "prompt": "Compute: -88584 + 8065 - 9083", "solution_steps": ["Add: -88584 + 8065 = -80519", "Subtract: -80519 - 9083 = -89602"], "final_answer": "-89602", "answer_type": "integer", "kind": "expression", "math_text": "-88584 + 8065 - 9083", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88584, \"b\": 8065, \"c\": 9083}", "seed": "10767186730909070899", "semantic_fingerprint": "sha256:26ba823ca86107b2fca845ca6e4c8ea5587cf4f1c47c79d7efa39b3990ea9007", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002688", "prompt": "What is 4836 / 65494?", "solution_steps": ["Divide: 4836 / 65494 = 186/2519"], "final_answer": "186/2519", "answer_type": "rational", "kind": "expression", "math_text": "4836 / 65494", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4836, \"b\": 65494}", "seed": "14876405698934510349", "semantic_fingerprint": "sha256:5aaed74e42b0cd28de9c06565563ed2e8eceece6d0cf87fde1614292d9f658da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002689", "prompt": "What value of x satisfies 33(x - 7984) + 11234 = 23(x - 6545) - 99793?", "solution_steps": ["Expand: 33x - 263472 + 11234 = 23(x - 6545) - 99793", "Expand: 33x - 263472 + 11234 = 23x - 150535 - 99793", "Combine constants: 33x - 252238 = 23x - 150535 - 99793", "Combine constants: 33x - 252238 = 23x - 250328", "Subtract 23x from both sides: 10x - 252238 = -250328", "Add 252238 to both sides: 10x = 1910", "Divide both sides by 10: x = 191"], "final_answer": "191", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 7984) + 11234 = 23(x - 6545) - 99793", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 7984, \"c\": 11234, \"d\": 23, \"e\": 6545, \"g\": -99793, \"x\": 191}", "seed": "3182979611174075384", "semantic_fingerprint": "sha256:f96054af3be3af794272e04e49b4921dd16b9dc55c498531bee06f5533cb22f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002690", "prompt": "What is (92075 + 50933 + 1979) / (-22114)?", "solution_steps": ["Add: 92075 + 50933 = 143008", "Add: 143008 + 1979 = 144987", "Divide: 144987 / (-22114) = -144987/22114"], "final_answer": "-144987/22114", "answer_type": "rational", "kind": "expression", "math_text": "(92075 + 50933 + 1979) / (-22114)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 92075, \"b\": 50933, \"c\": 1979, \"d\": -22114}", "seed": "434574357904578900", "semantic_fingerprint": "sha256:cb9aa8fbda43c084917367fa1ddf700323570352aa9c104434b5fecd19f97de3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002691", "prompt": "What value of x satisfies -37(x - 7169) - 71332 = x - 8852?", "solution_steps": ["Expand: -37x + 265253 - 71332 = x - 8852", "Combine constants: -37x + 193921 = x - 8852", "Subtract x from both sides: -38x + 193921 = -8852", "Subtract 193921 from both sides: -38x = -202773", "Divide both sides by -38: x = 202773/38"], "final_answer": "202773/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x - 7169) - 71332 = x - 8852", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 7169, \"c\": 71332, \"d\": 8852}", "seed": "12820313344395074203", "semantic_fingerprint": "sha256:08e2841e531bb2d8fd168093f40ffc85ef23c8bc03d00aecbfbaa49dd1aed411", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002692", "prompt": "What value of x satisfies 21x + 98113 = -31(x + 5767) + 8716?", "solution_steps": ["Expand: 21x + 98113 = -31x - 178777 + 8716", "Combine constants: 21x + 98113 = -31x - 170061", "Add 31x to both sides: 52x + 98113 = -170061", "Subtract 98113 from both sides: 52x = -268174", "Divide both sides by 52: x = -134087/26"], "final_answer": "-134087/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x + 98113 = -31(x + 5767) + 8716", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 98113, \"c\": -31, \"d\": 5767, \"e\": 8716}", "seed": "8009483802953271455", "semantic_fingerprint": "sha256:535b8ee79e866479f2157daa495173fe4e32ba3a5e964920dbd08d7d1e1854cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002693", "prompt": "Compute: (-49682 - 8383) / (-5630)", "solution_steps": ["Subtract: -49682 - 8383 = -58065", "Divide: -58065 / (-5630) = 11613/1126"], "final_answer": "11613/1126", "answer_type": "rational", "kind": "expression", "math_text": "(-49682 - 8383) / (-5630)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49682, \"b\": 8383, \"c\": -5630}", "seed": "7211185819644680060", "semantic_fingerprint": "sha256:e189a3d6bb32152eb716d89fbf80abd701cbcbaf66da7f0d786521b9daaedcb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002694", "prompt": "Calculate: -51882 * (54500 / (-43494 / (-1247)))", "solution_steps": ["Divide: -43494 / (-1247) = 43494/1247", "Divide: 54500 / (43494/1247) = 33980750/21747", "Multiply: -51882 * (33980750/21747) = -587663090500/7249"], "final_answer": "-587663090500/7249", "answer_type": "rational", "kind": "expression", "math_text": "-51882 * (54500 / (-43494 / (-1247)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -51882, \"b\": 54500, \"c\": -43494, \"d\": -1247}", "seed": "16684954175762863114", "semantic_fingerprint": "sha256:7b0e373df5d512a645eada95540aa28bd048d682a5a9340cb9d46b039b0271ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002695", "prompt": "Compute: -5905 * 7288 + 3291 - (-37272)", "solution_steps": ["Multiply: -5905 * 7288 = -43035640", "Add: -43035640 + 3291 = -43032349", "Subtract: -43032349 - (-37272) = -42995077"], "final_answer": "-42995077", "answer_type": "integer", "kind": "expression", "math_text": "-5905 * 7288 + 3291 - (-37272)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5905, \"b\": 7288, \"c\": 3291, \"d\": -37272}", "seed": "1230782875310780330", "semantic_fingerprint": "sha256:f0962e4706ca79ee2a548c83c6db8e23c46b48fd634822af2a0da7199256bb07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002696", "prompt": "Evaluate: 93673 + 9600", "solution_steps": ["Add: 93673 + 9600 = 103273"], "final_answer": "103273", "answer_type": "integer", "kind": "expression", "math_text": "93673 + 9600", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 93673, \"b\": 9600}", "seed": "4995240124028156175", "semantic_fingerprint": "sha256:21ea253be0a765dd32c38f896fbcad9756ec2cefd447f2044115113b08679027", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002697", "prompt": "Solve the equation 36(x + 72119) + 15476 = 22(x - 6102) for x.", "solution_steps": ["Expand: 36x + 2596284 + 15476 = 22(x - 6102)", "Expand: 36x + 2596284 + 15476 = 22x - 134244", "Combine constants: 36x + 2611760 = 22x - 134244", "Subtract 22x from both sides: 14x + 2611760 = -134244", "Subtract 2611760 from both sides: 14x = -2746004", "Divide both sides by 14: x = -1373002/7"], "final_answer": "-1373002/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 72119) + 15476 = 22(x - 6102)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 72119, \"c\": 15476, \"d\": 22, \"e\": 6102}", "seed": "11984437903216525813", "semantic_fingerprint": "sha256:210a81a37ea7c4d91652fb281d5852e0c7931b4017602a193268e2147e6047ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002698", "prompt": "Solve the equation 22(x - 24276) = -26(x + 34972) for x.", "solution_steps": ["Expand: 22x - 534072 = -26(x + 34972)", "Expand: 22x - 534072 = -26x - 909272", "Add 26x to both sides: 48x - 534072 = -909272", "Add 534072 to both sides: 48x = -375200", "Divide both sides by 48: x = -23450/3"], "final_answer": "-23450/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 24276) = -26(x + 34972)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 24276, \"c\": -26, \"d\": 34972}", "seed": "17835252318877168632", "semantic_fingerprint": "sha256:becbdc13fc754501ccd3935bad9b162151a334abc35f6a273c33023b3951f5a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002699", "prompt": "Compute: -1970 + 8373 * 70439 + (9311 + (-45375))", "solution_steps": ["Multiply: 8373 * 70439 = 589785747", "Add: -1970 + 589785747 = 589783777", "Add: 9311 + (-45375) = -36064", "Add: 589783777 + (-36064) = 589747713"], "final_answer": "589747713", "answer_type": "integer", "kind": "expression", "math_text": "-1970 + 8373 * 70439 + (9311 + (-45375))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1970, \"b\": 8373, \"c\": 70439, \"d\": 9311, \"e\": -45375}", "seed": "739031511530023271", "semantic_fingerprint": "sha256:44de144028188ac662548336c0c68ad23b5e12f0fbfb9a09042e406dad742611", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002700", "prompt": "Find x: x + 1963 = 2157", "solution_steps": ["Subtract 1963 from both sides: x = 194"], "final_answer": "194", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1963 = 2157", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1963, \"c\": 2157, \"x\": 194}", "seed": "15975141450236227532", "semantic_fingerprint": "sha256:082c5cd2f5d29aad66a34bcb93df5c2a9ce1fb946c4521d3693a63725d65af51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002701", "prompt": "What is -7722 * (-3868) * ((4219 + (-1136)) / (60468 - 18289))?", "solution_steps": ["Multiply: -7722 * (-3868) = 29868696", "Add: 4219 + (-1136) = 3083", "Subtract: 60468 - 18289 = 42179", "Divide: 3083 / 42179 = 3083/42179", "Multiply: 29868696 * (3083/42179) = 92085189768/42179"], "final_answer": "92085189768/42179", "answer_type": "rational", "kind": "expression", "math_text": "-7722 * (-3868) * ((4219 + (-1136)) / (60468 - 18289))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (/ (+ n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7722, \"b\": -3868, \"c\": 4219, \"d\": -1136, \"e\": 60468, \"f\": 18289}", "seed": "14471235227068127443", "semantic_fingerprint": "sha256:62eed88ff77cd22d3d0c510fdc93eb4b8ac4d53c754062d8450e4e942bf0c4d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002702", "prompt": "Evaluate: 3125 - 6203 + 42608", "solution_steps": ["Subtract: 3125 - 6203 = -3078", "Add: -3078 + 42608 = 39530"], "final_answer": "39530", "answer_type": "integer", "kind": "expression", "math_text": "3125 - 6203 + 42608", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3125, \"b\": 6203, \"c\": 42608}", "seed": "16542589594793436046", "semantic_fingerprint": "sha256:0f7a58bf8fa9d1037cb7ff5e8872178e49a92bfb868cbb05e12299df0108bac1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002703", "prompt": "Evaluate: 5797 * 6479 - (-8057 + 6852) * 71545", "solution_steps": ["Multiply: 5797 * 6479 = 37558763", "Add: -8057 + 6852 = -1205", "Multiply: -1205 * 71545 = -86211725", "Subtract: 37558763 - (-86211725) = 123770488"], "final_answer": "123770488", "answer_type": "integer", "kind": "expression", "math_text": "5797 * 6479 - (-8057 + 6852) * 71545", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5797, \"b\": 6479, \"c\": -8057, \"d\": 6852, \"e\": 71545}", "seed": "17959659319553297819", "semantic_fingerprint": "sha256:20ba8f09eee902935fc840c23d13ad75b1587b4086effe68ccd2854ab1294fb8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002704", "prompt": "What value of x satisfies x - 7600 = 21(x + 9783) - 4458?", "solution_steps": ["Expand: x - 7600 = 21x + 205443 - 4458", "Combine constants: x - 7600 = 21x + 200985", "Subtract 21x from both sides: -20x - 7600 = 200985", "Add 7600 to both sides: -20x = 208585", "Divide both sides by -20: x = -41717/4"], "final_answer": "-41717/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7600 = 21(x + 9783) - 4458", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7600, \"b\": 21, \"c\": 9783, \"d\": 4458}", "seed": "15657082324603099372", "semantic_fingerprint": "sha256:531fd71ae1e58fe8d57ba50321a2f41235cabe7ac4ffee126a34845ccbf253cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002705", "prompt": "Compute: -84415 / 10783 - 73209", "solution_steps": ["Divide: -84415 / 10783 = -84415/10783", "Subtract: -84415/10783 - 73209 = -789497062/10783"], "final_answer": "-789497062/10783", "answer_type": "rational", "kind": "expression", "math_text": "-84415 / 10783 - 73209", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84415, \"b\": 10783, \"c\": 73209}", "seed": "16989499909512093443", "semantic_fingerprint": "sha256:c3dd8fee5ae67ba614eab77e714d2dd2cc9d0a84c71ab34a771739510fb22bd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002706", "prompt": "Calculate: (8865 - 99646) * 3223", "solution_steps": ["Subtract: 8865 - 99646 = -90781", "Multiply: -90781 * 3223 = -292587163"], "final_answer": "-292587163", "answer_type": "integer", "kind": "expression", "math_text": "(8865 - 99646) * 3223", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8865, \"b\": 99646, \"c\": 3223}", "seed": "2779591620047117338", "semantic_fingerprint": "sha256:5a9c1d65b506449c324248663f12bd2a880db509e78a5f10d79ff061aa4efc0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002707", "prompt": "What is 65938 - (-11027) / (-1725)?", "solution_steps": ["Divide: -11027 / (-1725) = 11027/1725", "Subtract: 65938 - 11027/1725 = 113732023/1725"], "final_answer": "113732023/1725", "answer_type": "rational", "kind": "expression", "math_text": "65938 - (-11027) / (-1725)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 65938, \"b\": -11027, \"c\": -1725}", "seed": "14229480063399008644", "semantic_fingerprint": "sha256:151d915bb4be0367564882b2bc89154770aeed8825336acf8500d9948e017357", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002708", "prompt": "Find x: 31(x + 8708) = -34(x - 68910) - 5613", "solution_steps": ["Expand: 31x + 269948 = -34(x - 68910) - 5613", "Expand: 31x + 269948 = -34x + 2342940 - 5613", "Combine constants: 31x + 269948 = -34x + 2337327", "Add 34x to both sides: 65x + 269948 = 2337327", "Subtract 269948 from both sides: 65x = 2067379", "Divide both sides by 65: x = 2067379/65"], "final_answer": "2067379/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 8708) = -34(x - 68910) - 5613", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 8708, \"c\": -34, \"d\": 68910, \"e\": 5613}", "seed": "127417997395419061", "semantic_fingerprint": "sha256:b62338a0974feb35cb0def1809e51c7782c60ae40fd082a16236b4cc5fd2d019", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002709", "prompt": "What is (-5914 - (-9774)) * (25833 + 2357) - 5237?", "solution_steps": ["Subtract: -5914 - (-9774) = 3860", "Add: 25833 + 2357 = 28190", "Multiply: 3860 * 28190 = 108813400", "Subtract: 108813400 - 5237 = 108808163"], "final_answer": "108808163", "answer_type": "integer", "kind": "expression", "math_text": "(-5914 - (-9774)) * (25833 + 2357) - 5237", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5914, \"b\": -9774, \"c\": 25833, \"d\": 2357, \"e\": 5237}", "seed": "4759353241029703770", "semantic_fingerprint": "sha256:0948d1ff10a94403b9b78e76b2896426546579ae12040693de5de3489147fbd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002710", "prompt": "Solve for x: x + 3273 = -14x", "solution_steps": ["Add 14x to both sides: 15x + 3273 = 0", "Subtract 3273 from both sides: 15x = -3273", "Divide both sides by 15: x = -1091/5"], "final_answer": "-1091/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3273 = -14x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3273, \"b\": -14}", "seed": "6414895410224096322", "semantic_fingerprint": "sha256:9932f7848456127d4c0d566196c9880b8d2bf51750692527ac643621babf4d39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002711", "prompt": "Compute: -6119 * (44611 / (-63638))", "solution_steps": ["Divide: 44611 / (-63638) = -44611/63638", "Multiply: -6119 * (-44611/63638) = 272974709/63638"], "final_answer": "272974709/63638", "answer_type": "rational", "kind": "expression", "math_text": "-6119 * (44611 / (-63638))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6119, \"b\": 44611, \"c\": -63638}", "seed": "8598740812944504474", "semantic_fingerprint": "sha256:b779e131e409614518d922466c8c3f88dbb0c5aa809822cf1db2b6e2e19cf032", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002712", "prompt": "Find x: -18x - 70786 = -31(x + 1726) - 16565", "solution_steps": ["Expand: -18x - 70786 = -31x - 53506 - 16565", "Combine constants: -18x - 70786 = -31x - 70071", "Add 31x to both sides: 13x - 70786 = -70071", "Add 70786 to both sides: 13x = 715", "Divide both sides by 13: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18x - 70786 = -31(x + 1726) - 16565", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 70786, \"c\": -31, \"d\": 1726, \"f\": -16565, \"x\": 55}", "seed": "2346290680500871850", "semantic_fingerprint": "sha256:0bbfa0429715dae924753ed883cb2d1fc5c371805c71b2410e1a17b82343a986", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002713", "prompt": "Compute: -30568 - (-12562)", "solution_steps": ["Subtract: -30568 - (-12562) = -18006"], "final_answer": "-18006", "answer_type": "integer", "kind": "expression", "math_text": "-30568 - (-12562)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -30568, \"b\": -12562}", "seed": "13595537126162762095", "semantic_fingerprint": "sha256:71a56cb0911dd5edaa4b8af6029b54213c959a775ce019306f224aac56af30fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002714", "prompt": "Calculate: 42556 / (61901 + 28455)", "solution_steps": ["Add: 61901 + 28455 = 90356", "Divide: 42556 / 90356 = 10639/22589"], "final_answer": "10639/22589", "answer_type": "rational", "kind": "expression", "math_text": "42556 / (61901 + 28455)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 42556, \"b\": 61901, \"c\": 28455}", "seed": "14492945281578131829", "semantic_fingerprint": "sha256:0a112674fb503d491f3d6272987f6ddafee39baf3929722dd77763bacf44933d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002715", "prompt": "Solve the equation x - 2408 = 19x for x.", "solution_steps": ["Subtract 19x from both sides: -18x - 2408 = 0", "Add 2408 to both sides: -18x = 2408", "Divide both sides by -18: x = -1204/9"], "final_answer": "-1204/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2408 = 19x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2408, \"b\": 19}", "seed": "10815050621797963529", "semantic_fingerprint": "sha256:ba0c65cba3ca71ef829b203f6b5266b3d84999a8e6666a5cc61c47df4def47af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002716", "prompt": "Calculate: 55947 - 8652 + (-5438 - (-82647))", "solution_steps": ["Subtract: 55947 - 8652 = 47295", "Subtract: -5438 - (-82647) = 77209", "Add: 47295 + 77209 = 124504"], "final_answer": "124504", "answer_type": "integer", "kind": "expression", "math_text": "55947 - 8652 + (-5438 - (-82647))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 55947, \"b\": 8652, \"c\": -5438, \"d\": -82647}", "seed": "18227366045941174869", "semantic_fingerprint": "sha256:58fe041a3a895e17286a37c7800eb4c31a9c2ccb7f89cd8a3194be278e713640", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002717", "prompt": "What is -5597 / (21705 / (9928 - (-6656)))?", "solution_steps": ["Subtract: 9928 - (-6656) = 16584", "Divide: 21705 / 16584 = 7235/5528", "Divide: -5597 / (7235/5528) = -30940216/7235"], "final_answer": "-30940216/7235", "answer_type": "rational", "kind": "expression", "math_text": "-5597 / (21705 / (9928 - (-6656)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5597, \"b\": 21705, \"c\": 9928, \"d\": -6656}", "seed": "11202775904079714542", "semantic_fingerprint": "sha256:77ef07289e752842f906c8c748194698501d9fee9634f2ef3acd533a705bc80b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002718", "prompt": "Calculate: 3247 * (29734 / 32351)", "solution_steps": ["Divide: 29734 / 32351 = 29734/32351", "Multiply: 3247 * (29734/32351) = 5679194/1903"], "final_answer": "5679194/1903", "answer_type": "rational", "kind": "expression", "math_text": "3247 * (29734 / 32351)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3247, \"b\": 29734, \"c\": 32351}", "seed": "5218526053422643948", "semantic_fingerprint": "sha256:89e15f75947c835a0b37157e6dbe7bc54d56df1ddb36c34be0239c15e11c76ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002719", "prompt": "What value of x satisfies 32(x - 2339) = 33(x + 95218) + 6430?", "solution_steps": ["Expand: 32x - 74848 = 33(x + 95218) + 6430", "Expand: 32x - 74848 = 33x + 3142194 + 6430", "Combine constants: 32x - 74848 = 33x + 3148624", "Subtract 33x from both sides: -x - 74848 = 3148624", "Add 74848 to both sides: -x = 3223472", "Divide both sides by -1: x = -3223472"], "final_answer": "-3223472", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 2339) = 33(x + 95218) + 6430", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 2339, \"c\": 33, \"d\": 95218, \"e\": 6430}", "seed": "16746827380973517347", "semantic_fingerprint": "sha256:770a883e2e087340807d5d3ada5f0c0f3e2cea0d7e774d4395a7fbf72f57c5aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002720", "prompt": "Compute: -55231 * (-7381 + (-6862 - (-32619)))", "solution_steps": ["Subtract: -6862 - (-32619) = 25757", "Add: -7381 + 25757 = 18376", "Multiply: -55231 * 18376 = -1014924856"], "final_answer": "-1014924856", "answer_type": "integer", "kind": "expression", "math_text": "-55231 * (-7381 + (-6862 - (-32619)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -55231, \"b\": -7381, \"c\": -6862, \"d\": -32619}", "seed": "12529680209732797927", "semantic_fingerprint": "sha256:3f090c8c2da050f95170dd1514fc8e9943abc934b6bd2fb67a54431d3608a994", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002721", "prompt": "Compute: -5313 + (-1300 - 1439 * (-2036))", "solution_steps": ["Multiply: 1439 * (-2036) = -2929804", "Subtract: -1300 - (-2929804) = 2928504", "Add: -5313 + 2928504 = 2923191"], "final_answer": "2923191", "answer_type": "integer", "kind": "expression", "math_text": "-5313 + (-1300 - 1439 * (-2036))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5313, \"b\": -1300, \"c\": 1439, \"d\": -2036}", "seed": "9405950320649292828", "semantic_fingerprint": "sha256:cc0465804ee626d240d8e34d71f23268c81c4d56c8a8a294756c3bc15bae3023", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002722", "prompt": "Compute: 41520 * (72562 - 74402)", "solution_steps": ["Subtract: 72562 - 74402 = -1840", "Multiply: 41520 * (-1840) = -76396800"], "final_answer": "-76396800", "answer_type": "integer", "kind": "expression", "math_text": "41520 * (72562 - 74402)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41520, \"b\": 72562, \"c\": 74402}", "seed": "5054999149794559470", "semantic_fingerprint": "sha256:06b79293351e263a5db27e2867601d5567ad6864264fe356640d82c9017b9023", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002723", "prompt": "Evaluate: -57325 * 55825 / (-93090)", "solution_steps": ["Multiply: -57325 * 55825 = -3200168125", "Divide: -3200168125 / (-93090) = 22070125/642"], "final_answer": "22070125/642", "answer_type": "rational", "kind": "expression", "math_text": "-57325 * 55825 / (-93090)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -57325, \"b\": 55825, \"c\": -93090}", "seed": "5247037171323253143", "semantic_fingerprint": "sha256:9c4ffdb65cacc6efc2a82fdea9e0e3362990dd66ed50a7446656495bdf9353a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002724", "prompt": "Solve the equation -21x = 35x + 1456 for x.", "solution_steps": ["Subtract 35x from both sides: -56x = 1456", "Divide both sides by -56: x = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x = 35x + 1456", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 35, \"d\": 1456, \"x\": -26}", "seed": "13665930656209573895", "semantic_fingerprint": "sha256:12005e4490d3a8ec69e76c1db0886441cd45d248e80b1a4a181e51473c53661e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002725", "prompt": "What is 9461 * (-9816) / (2270 - 77701)?", "solution_steps": ["Multiply: 9461 * (-9816) = -92869176", "Subtract: 2270 - 77701 = -75431", "Divide: -92869176 / (-75431) = 92869176/75431"], "final_answer": "92869176/75431", "answer_type": "rational", "kind": "expression", "math_text": "9461 * (-9816) / (2270 - 77701)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9461, \"b\": -9816, \"c\": 2270, \"d\": 77701}", "seed": "5578826730618595105", "semantic_fingerprint": "sha256:83c4c56b6adfd2efa8cf9ccfd10cff0aa57757543afa751eb346a9384d0e33ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002726", "prompt": "Find x: x = 22x + 2205", "solution_steps": ["Subtract 22x from both sides: -21x = 2205", "Divide both sides by -21: x = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 22x + 2205", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": 2205, \"x\": -105}", "seed": "5392530133504357719", "semantic_fingerprint": "sha256:eeaaaf773e3c9bdfe398c3a2d24a4ee92ae3aa52a67dcc1e3cddce1ab8d91f1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002727", "prompt": "Calculate: -1248 * 8358 + 94423", "solution_steps": ["Multiply: -1248 * 8358 = -10430784", "Add: -10430784 + 94423 = -10336361"], "final_answer": "-10336361", "answer_type": "integer", "kind": "expression", "math_text": "-1248 * 8358 + 94423", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1248, \"b\": 8358, \"c\": 94423}", "seed": "7789652592163917507", "semantic_fingerprint": "sha256:e4c9c28e30bac367c39fd4e92b43e36277ff75ef513e996e68c8b9cae825a6d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002728", "prompt": "Find x: x + 1344 = 17x", "solution_steps": ["Subtract 17x from both sides: -16x + 1344 = 0", "Subtract 1344 from both sides: -16x = -1344", "Divide both sides by -16: x = 84"], "final_answer": "84", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1344 = 17x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"c\": 1344, \"x\": 84}", "seed": "2645737464808376422", "semantic_fingerprint": "sha256:dcedbf972fad9376070cb3c9fc9b64909891fd7154f83b1dca16734330790b51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002729", "prompt": "Calculate: -69854 - (-2328 + (-44267) * 86080)", "solution_steps": ["Multiply: -44267 * 86080 = -3810503360", "Add: -2328 + (-3810503360) = -3810505688", "Subtract: -69854 - (-3810505688) = 3810435834"], "final_answer": "3810435834", "answer_type": "integer", "kind": "expression", "math_text": "-69854 - (-2328 + (-44267) * 86080)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -69854, \"b\": -2328, \"c\": -44267, \"d\": 86080}", "seed": "5694703146707594843", "semantic_fingerprint": "sha256:deb47e1987f86bd5e6625a96eead5b860f1a6f404386fb6ecb7af582c7be737c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002730", "prompt": "Compute: 80472 - (4357 + 44788)", "solution_steps": ["Add: 4357 + 44788 = 49145", "Subtract: 80472 - 49145 = 31327"], "final_answer": "31327", "answer_type": "integer", "kind": "expression", "math_text": "80472 - (4357 + 44788)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80472, \"b\": 4357, \"c\": 44788}", "seed": "16636321143479326049", "semantic_fingerprint": "sha256:75c21da8e662dc064d014536fd9c8049e127cecb20d713385b0e5dae59754baa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002731", "prompt": "Solve the equation 15(x + 1305) + 59645 = 13(x + 6122) for x.", "solution_steps": ["Expand: 15x + 19575 + 59645 = 13(x + 6122)", "Expand: 15x + 19575 + 59645 = 13x + 79586", "Combine constants: 15x + 79220 = 13x + 79586", "Subtract 13x from both sides: 2x + 79220 = 79586", "Subtract 79220 from both sides: 2x = 366", "Divide both sides by 2: x = 183"], "final_answer": "183", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 1305) + 59645 = 13(x + 6122)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 1305, \"c\": 13, \"d\": 6122, \"f\": 59645, \"x\": 183}", "seed": "2694319880331720852", "semantic_fingerprint": "sha256:57cbca48775ff8fdce06bac1c0fd5436d6bdfbdefce3c1672d91138f7d4eeb3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002732", "prompt": "Compute: 74218 - (-8552) * 81288", "solution_steps": ["Multiply: -8552 * 81288 = -695174976", "Subtract: 74218 - (-695174976) = 695249194"], "final_answer": "695249194", "answer_type": "integer", "kind": "expression", "math_text": "74218 - (-8552) * 81288", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 74218, \"b\": -8552, \"c\": 81288}", "seed": "17188724057810333927", "semantic_fingerprint": "sha256:b6ca79bfcce03f6f6eaa07100ce2acb7f4d052c4b00d10d96af19323c1475cde", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002733", "prompt": "What is -38508 - 74975 - 38950?", "solution_steps": ["Subtract: -38508 - 74975 = -113483", "Subtract: -113483 - 38950 = -152433"], "final_answer": "-152433", "answer_type": "integer", "kind": "expression", "math_text": "-38508 - 74975 - 38950", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38508, \"b\": 74975, \"c\": 38950}", "seed": "8953419725361060676", "semantic_fingerprint": "sha256:bfdb114328afacf141835284ada25cb4ab56449a174c22933c278afdc2e9641c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002734", "prompt": "Compute: 9542 - 96196 + (-61706 + 93977) + (-6249)", "solution_steps": ["Subtract: 9542 - 96196 = -86654", "Add: -61706 + 93977 = 32271", "Add: -86654 + 32271 = -54383", "Add: -54383 + (-6249) = -60632"], "final_answer": "-60632", "answer_type": "integer", "kind": "expression", "math_text": "9542 - 96196 + (-61706 + 93977) + (-6249)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9542, \"b\": 96196, \"c\": -61706, \"d\": 93977, \"e\": -6249}", "seed": "11220462036635982416", "semantic_fingerprint": "sha256:dbe290baf8fea5d10c30675ea9eb221af411909d8fe969ba754d9838da97ae5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002735", "prompt": "What is 7498 * (-22696) - (-63229)?", "solution_steps": ["Multiply: 7498 * (-22696) = -170174608", "Subtract: -170174608 - (-63229) = -170111379"], "final_answer": "-170111379", "answer_type": "integer", "kind": "expression", "math_text": "7498 * (-22696) - (-63229)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7498, \"b\": -22696, \"c\": -63229}", "seed": "14170806367186468769", "semantic_fingerprint": "sha256:e28e529dd218e4554bd90366f73a97598bc0c0b018d5a50101548d80355df7d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002736", "prompt": "Evaluate: -88992 * (-5796)", "solution_steps": ["Multiply: -88992 * (-5796) = 515797632"], "final_answer": "515797632", "answer_type": "integer", "kind": "expression", "math_text": "-88992 * (-5796)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -88992, \"b\": -5796}", "seed": "11502718107482907747", "semantic_fingerprint": "sha256:286d8af2dd32b1d041ba88a13af76212fa304566e917360f1f5fa716edff2b02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002737", "prompt": "Solve for x: 33(x + 60323) - 43641 = 17x - 54902", "solution_steps": ["Expand: 33x + 1990659 - 43641 = 17x - 54902", "Combine constants: 33x + 1947018 = 17x - 54902", "Subtract 17x from both sides: 16x + 1947018 = -54902", "Subtract 1947018 from both sides: 16x = -2001920", "Divide both sides by 16: x = -125120"], "final_answer": "-125120", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x + 60323) - 43641 = 17x - 54902", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 60323, \"c\": 43641, \"d\": 17, \"e\": 54902}", "seed": "11143020274952189697", "semantic_fingerprint": "sha256:791a94bce9a18143163abae38090fc0552ce840b3d6a7429f4929186d6fa4279", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002738", "prompt": "Calculate: (-13895 * (9290 + 8981) - 84297) / (-9365 + (-3605))", "solution_steps": ["Add: 9290 + 8981 = 18271", "Multiply: -13895 * 18271 = -253875545", "Subtract: -253875545 - 84297 = -253959842", "Add: -9365 + (-3605) = -12970", "Divide: -253959842 / (-12970) = 126979921/6485"], "final_answer": "126979921/6485", "answer_type": "rational", "kind": "expression", "math_text": "(-13895 * (9290 + 8981) - 84297) / (-9365 + (-3605))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13895, \"b\": 9290, \"c\": 8981, \"d\": 84297, \"e\": -9365, \"f\": -3605}", "seed": "16565685050145653461", "semantic_fingerprint": "sha256:b373f1f793fd12f490386c188cd45586dccfb33d60fc6c39bb9e369c6c34ac25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002739", "prompt": "Solve the equation 18x + 6774 = 3660 for x.", "solution_steps": ["Subtract 6774 from both sides: 18x = -3114", "Divide both sides by 18: x = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x + 6774 = 3660", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 6774, \"d\": 3660, \"x\": -173}", "seed": "1089198524933079219", "semantic_fingerprint": "sha256:91428717bf7454094e42801113df2bc3fa0ae7d27d4a8c74b9a666d88134a3bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002740", "prompt": "Calculate: 16107 - (-5983 - 71440) - (8585 - 1447)", "solution_steps": ["Subtract: -5983 - 71440 = -77423", "Subtract: 16107 - (-77423) = 93530", "Subtract: 8585 - 1447 = 7138", "Subtract: 93530 - 7138 = 86392"], "final_answer": "86392", "answer_type": "integer", "kind": "expression", "math_text": "16107 - (-5983 - 71440) - (8585 - 1447)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16107, \"b\": -5983, \"c\": 71440, \"d\": 8585, \"e\": 1447}", "seed": "2815937931972935071", "semantic_fingerprint": "sha256:e03437480af2b6fd97a9c9fb5a3814b7a4ca8d0f9d14b9111f5662c51599b3fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002741", "prompt": "Calculate: -1732 + (-6999 + 3109) * (-24060)", "solution_steps": ["Add: -6999 + 3109 = -3890", "Multiply: -3890 * (-24060) = 93593400", "Add: -1732 + 93593400 = 93591668"], "final_answer": "93591668", "answer_type": "integer", "kind": "expression", "math_text": "-1732 + (-6999 + 3109) * (-24060)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1732, \"b\": -6999, \"c\": 3109, \"d\": -24060}", "seed": "2478392351264192966", "semantic_fingerprint": "sha256:ee3fc45ddd151b72bad5042211ef6904c59ea866a3c985b63fdf68b8f4fceb15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002742", "prompt": "Solve the equation x = -32x for x.", "solution_steps": ["Add 32x to both sides: 33x = 0", "Divide both sides by 33: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -32x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32}", "seed": "13832858385620974289", "semantic_fingerprint": "sha256:0c95e2683bc90d5ca69d52ab71d3f0a0b31da2020298cba34474430177105af2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002743", "prompt": "Solve the equation -28(x + 5510) = 34(x - 4455) for x.", "solution_steps": ["Expand: -28x - 154280 = 34(x - 4455)", "Expand: -28x - 154280 = 34x - 151470", "Subtract 34x from both sides: -62x - 154280 = -151470", "Add 154280 to both sides: -62x = 2810", "Divide both sides by -62: x = -1405/31"], "final_answer": "-1405/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-28(x + 5510) = 34(x - 4455)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 5510, \"c\": 34, \"d\": 4455}", "seed": "17916021229728726479", "semantic_fingerprint": "sha256:2cef995d6e75551276e5d4ff2812d1aeb75a79b629f3eba1fdf4037ddd0420dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002744", "prompt": "Find x: -16(x + 5263) - 5673 = 88061", "solution_steps": ["Expand: -16x - 84208 - 5673 = 88061", "Combine constants: -16x - 89881 = 88061", "Add 89881 to both sides: -16x = 177942", "Divide both sides by -16: x = -88971/8"], "final_answer": "-88971/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 5263) - 5673 = 88061", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 5263, \"c\": 5673, \"d\": 88061}", "seed": "10205919775147521743", "semantic_fingerprint": "sha256:362b4dac47cad13fc8dc2bdc2a0a79dee95b6f85d233c3008249a76fec8ce9f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002745", "prompt": "Calculate: -3587 + 5300 - 8647 + 76531 * (-9463 - 17188)", "solution_steps": ["Add: -3587 + 5300 = 1713", "Subtract: 1713 - 8647 = -6934", "Subtract: -9463 - 17188 = -26651", "Multiply: 76531 * (-26651) = -2039627681", "Add: -6934 + (-2039627681) = -2039634615"], "final_answer": "-2039634615", "answer_type": "integer", "kind": "expression", "math_text": "-3587 + 5300 - 8647 + 76531 * (-9463 - 17188)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (* n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3587, \"b\": 5300, \"c\": 8647, \"d\": 76531, \"e\": -9463, \"f\": 17188}", "seed": "4403948468681673702", "semantic_fingerprint": "sha256:0f046805254f41da064ce787f57d01e45ee60798095c126492308c89d31da467", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002746", "prompt": "What value of x satisfies 37x = x?", "solution_steps": ["Subtract x from both sides: 36x = 0", "Divide both sides by 36: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37}", "seed": "13699321450189723590", "semantic_fingerprint": "sha256:85c8be6a8ac0698857c9270e47e31bb4cba06b1d385f0140bcd3fa9c3a31ff65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002747", "prompt": "Calculate: -9145 / (-73013)", "solution_steps": ["Divide: -9145 / (-73013) = 9145/73013"], "final_answer": "9145/73013", "answer_type": "rational", "kind": "expression", "math_text": "-9145 / (-73013)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9145, \"b\": -73013}", "seed": "16410700517613469574", "semantic_fingerprint": "sha256:d907ac3db9fe7db27380e54cfefd5b7ef7a858db4717fecf898136c2de95b42a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002748", "prompt": "Solve the equation -37(x + 6492) = 20x for x.", "solution_steps": ["Expand: -37x - 240204 = 20x", "Subtract 20x from both sides: -57x - 240204 = 0", "Add 240204 to both sides: -57x = 240204", "Divide both sides by -57: x = -80068/19"], "final_answer": "-80068/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 6492) = 20x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 6492, \"c\": 20}", "seed": "4092380042052126675", "semantic_fingerprint": "sha256:42a49a12b6441a550a45e8ffa752aeca3e33040c5b164f7547832ca445ff9320", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002749", "prompt": "Evaluate: 52272 - (-77937 + (-5877) / (-69101))", "solution_steps": ["Divide: -5877 / (-69101) = 5877/69101", "Add: -77937 + 5877/69101 = -5385518760/69101", "Subtract: 52272 - (-5385518760/69101) = 8997566232/69101"], "final_answer": "8997566232/69101", "answer_type": "rational", "kind": "expression", "math_text": "52272 - (-77937 + (-5877) / (-69101))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 52272, \"b\": -77937, \"c\": -5877, \"d\": -69101}", "seed": "4953452557312055605", "semantic_fingerprint": "sha256:f4e82fd541888d5e17427e7b1c6281535a764ecf27ddee482c03a6a27d468623", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002750", "prompt": "Solve for x: 28(x - 1487) + 8867 = -24(x - 4368) - 5982", "solution_steps": ["Expand: 28x - 41636 + 8867 = -24(x - 4368) - 5982", "Expand: 28x - 41636 + 8867 = -24x + 104832 - 5982", "Combine constants: 28x - 32769 = -24x + 104832 - 5982", "Combine constants: 28x - 32769 = -24x + 98850", "Add 24x to both sides: 52x - 32769 = 98850", "Add 32769 to both sides: 52x = 131619", "Divide both sides by 52: x = 131619/52"], "final_answer": "131619/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 1487) + 8867 = -24(x - 4368) - 5982", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1487, \"c\": 8867, \"d\": -24, \"e\": 4368, \"f\": 5982}", "seed": "14980543873086256206", "semantic_fingerprint": "sha256:f9a5163e0e7c34543ac4fa21cf8b64c12f007892cfab0043dd3dd74f3566bb94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002751", "prompt": "Calculate: 2216 - (-51419)", "solution_steps": ["Subtract: 2216 - (-51419) = 53635"], "final_answer": "53635", "answer_type": "integer", "kind": "expression", "math_text": "2216 - (-51419)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2216, \"b\": -51419}", "seed": "14984394150693070038", "semantic_fingerprint": "sha256:51a714acf7655b5a6a5108215160dfa2051ceba35b64b8a84ca2a48b44638ab0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002752", "prompt": "Evaluate: -8831 - (3633 + 44780)", "solution_steps": ["Add: 3633 + 44780 = 48413", "Subtract: -8831 - 48413 = -57244"], "final_answer": "-57244", "answer_type": "integer", "kind": "expression", "math_text": "-8831 - (3633 + 44780)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8831, \"b\": 3633, \"c\": 44780}", "seed": "5798317657242669097", "semantic_fingerprint": "sha256:1f2aaf7a2678c37c4355aa5647cd91b1467153cd0cc931050bb6f13792eb2dff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002753", "prompt": "Calculate: 8465 - (-7548) / (-18179) + (-35541 - (-7614) * 1256)", "solution_steps": ["Divide: -7548 / (-18179) = 7548/18179", "Subtract: 8465 - 7548/18179 = 153877687/18179", "Multiply: -7614 * 1256 = -9563184", "Subtract: -35541 - (-9563184) = 9527643", "Add: 153877687/18179 + 9527643 = 173356899784/18179"], "final_answer": "173356899784/18179", "answer_type": "rational", "kind": "expression", "math_text": "8465 - (-7548) / (-18179) + (-35541 - (-7614) * 1256)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ n n)) (- n (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8465, \"b\": -7548, \"c\": -18179, \"d\": -35541, \"e\": -7614, \"f\": 1256}", "seed": "1535903347374862961", "semantic_fingerprint": "sha256:876e1afa293c36e75306ed17fdd82d387766a11497947e3ddbcbbb7a286dc1d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002754", "prompt": "What is 6413 * (6229 + (-5625))?", "solution_steps": ["Add: 6229 + (-5625) = 604", "Multiply: 6413 * 604 = 3873452"], "final_answer": "3873452", "answer_type": "integer", "kind": "expression", "math_text": "6413 * (6229 + (-5625))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6413, \"b\": 6229, \"c\": -5625}", "seed": "7312389266191656397", "semantic_fingerprint": "sha256:470d9d2f49fd4843b4b496f10e9afbc20fec56bc8007f67a6d12e77967dc215b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002755", "prompt": "Calculate: 8804 * (-7245)", "solution_steps": ["Multiply: 8804 * (-7245) = -63784980"], "final_answer": "-63784980", "answer_type": "integer", "kind": "expression", "math_text": "8804 * (-7245)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8804, \"b\": -7245}", "seed": "18233455649463435427", "semantic_fingerprint": "sha256:c32e817ba538c8b14b7ae14e44f435f45a445608635dd04841ec0bb19c2335b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002756", "prompt": "Solve the equation 34x = 20x - 1442 for x.", "solution_steps": ["Subtract 20x from both sides: 14x = -1442", "Divide both sides by 14: x = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x = 20x - 1442", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 20, \"d\": -1442, \"x\": -103}", "seed": "14255425065994240552", "semantic_fingerprint": "sha256:6dace0e55fe8baea92181f7bc00f1271c92eb091066f71713ef623ca422f1a3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002757", "prompt": "Compute: -1930 - 7325 - (-9479 - (-4348))", "solution_steps": ["Subtract: -1930 - 7325 = -9255", "Subtract: -9479 - (-4348) = -5131", "Subtract: -9255 - (-5131) = -4124"], "final_answer": "-4124", "answer_type": "integer", "kind": "expression", "math_text": "-1930 - 7325 - (-9479 - (-4348))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1930, \"b\": 7325, \"c\": -9479, \"d\": -4348}", "seed": "17798991820931039105", "semantic_fingerprint": "sha256:9ca2f30bbbc3decd2b7ca9c75ae7e278f20e4619a81d2efe52d35594ab193c44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002758", "prompt": "Solve for x: -17x = -40(x - 1550)", "solution_steps": ["Expand: -17x = -40x + 62000", "Add 40x to both sides: 23x = 62000", "Divide both sides by 23: x = 62000/23"], "final_answer": "62000/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x = -40(x - 1550)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": -40, \"c\": 1550}", "seed": "5395940575168662763", "semantic_fingerprint": "sha256:e4ecaa334b24c15f5455e8d6e5ca07dd17e0b6ff5a5944b22f7458b61b65adc0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002759", "prompt": "What is -60575 - 79982?", "solution_steps": ["Subtract: -60575 - 79982 = -140557"], "final_answer": "-140557", "answer_type": "integer", "kind": "expression", "math_text": "-60575 - 79982", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -60575, \"b\": 79982}", "seed": "5538157443904898399", "semantic_fingerprint": "sha256:48f39e0eb520da3633db8ea66e9bbd5a62e65ab6045969259775e1bf796851e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002760", "prompt": "Solve the equation -22(x + 17602) = x - 2831 for x.", "solution_steps": ["Expand: -22x - 387244 = x - 2831", "Subtract x from both sides: -23x - 387244 = -2831", "Add 387244 to both sides: -23x = 384413", "Divide both sides by -23: x = -384413/23"], "final_answer": "-384413/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x + 17602) = x - 2831", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 17602, \"c\": 2831}", "seed": "1513567750334789394", "semantic_fingerprint": "sha256:6e543a78aab5e42fb51080d88788caf33f840b3b1e20d9ed5cc2d8fe53ccb268", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002761", "prompt": "Evaluate: -7711 * (-72746)", "solution_steps": ["Multiply: -7711 * (-72746) = 560944406"], "final_answer": "560944406", "answer_type": "integer", "kind": "expression", "math_text": "-7711 * (-72746)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7711, \"b\": -72746}", "seed": "14954157740602158466", "semantic_fingerprint": "sha256:18fcd44cd312f4ea11e37baabce664fe72790bbd9f8394f1ce75ce05b01c2d5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002762", "prompt": "What is -32258 * (44482 - (-15955)) + 4257?", "solution_steps": ["Subtract: 44482 - (-15955) = 60437", "Multiply: -32258 * 60437 = -1949576746", "Add: -1949576746 + 4257 = -1949572489"], "final_answer": "-1949572489", "answer_type": "integer", "kind": "expression", "math_text": "-32258 * (44482 - (-15955)) + 4257", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32258, \"b\": 44482, \"c\": -15955, \"d\": 4257}", "seed": "9877832720528239471", "semantic_fingerprint": "sha256:3cc748f36b05f7d42f3a8e336871f2f014a6c2c9eb23cacc0c4bb5af3eaac9b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002763", "prompt": "Solve the equation x = -19(x + 6763) - 5801 for x.", "solution_steps": ["Expand: x = -19x - 128497 - 5801", "Combine constants: x = -19x - 134298", "Add 19x to both sides: 20x = -134298", "Divide both sides by 20: x = -67149/10"], "final_answer": "-67149/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -19(x + 6763) - 5801", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 6763, \"c\": 5801}", "seed": "6450204117511804795", "semantic_fingerprint": "sha256:297e57d75d9a48be3adc72cecd8dd35252d21cd9fa1c627065da1e627d5d5a37", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002764", "prompt": "What is (37727 - (-69650) - (-7718)) * (-65851 / (33288 - (-3191)))?", "solution_steps": ["Subtract: 37727 - (-69650) = 107377", "Subtract: 107377 - (-7718) = 115095", "Subtract: 33288 - (-3191) = 36479", "Divide: -65851 / 36479 = -65851/36479", "Multiply: 115095 * (-65851/36479) = -7579120845/36479"], "final_answer": "-7579120845/36479", "answer_type": "rational", "kind": "expression", "math_text": "(37727 - (-69650) - (-7718)) * (-65851 / (33288 - (-3191)))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37727, \"b\": -69650, \"c\": -7718, \"d\": -65851, \"e\": 33288, \"f\": -3191}", "seed": "6006173378105949600", "semantic_fingerprint": "sha256:b4b4752175f2e3ecd1c64decbe73e5b98aa57b027b2ec6fc51e282630c57d049", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002765", "prompt": "What is -3299 - (3806 - 5066) - 30335?", "solution_steps": ["Subtract: 3806 - 5066 = -1260", "Subtract: -3299 - (-1260) = -2039", "Subtract: -2039 - 30335 = -32374"], "final_answer": "-32374", "answer_type": "integer", "kind": "expression", "math_text": "-3299 - (3806 - 5066) - 30335", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3299, \"b\": 3806, \"c\": 5066, \"d\": 30335}", "seed": "410646553174607621", "semantic_fingerprint": "sha256:3a1a306662bf83439949d5ad10ed158299135a57c161d2a5605382dba4417bf8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002766", "prompt": "What value of x satisfies 38(x - 9825) = x?", "solution_steps": ["Expand: 38x - 373350 = x", "Subtract x from both sides: 37x - 373350 = 0", "Add 373350 to both sides: 37x = 373350", "Divide both sides by 37: x = 373350/37"], "final_answer": "373350/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 9825) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 9825}", "seed": "12374322912451927731", "semantic_fingerprint": "sha256:093038e811e7189e75a01399205d89478951dd60607acaf9930ea05957b5967c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002767", "prompt": "Solve for x: x = -16(x + 5661) + 89131", "solution_steps": ["Expand: x = -16x - 90576 + 89131", "Combine constants: x = -16x - 1445", "Add 16x to both sides: 17x = -1445", "Divide both sides by 17: x = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -16(x + 5661) + 89131", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 5661, \"d\": 89131, \"x\": -85}", "seed": "17077569181780161668", "semantic_fingerprint": "sha256:6228a42dc3c918323ba9b58dee0039339f2d43f7d4fbdf52d55b9cf3be1559fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002768", "prompt": "Evaluate: (-1897 + 7117 - (-16819)) * (-5160)", "solution_steps": ["Add: -1897 + 7117 = 5220", "Subtract: 5220 - (-16819) = 22039", "Multiply: 22039 * (-5160) = -113721240"], "final_answer": "-113721240", "answer_type": "integer", "kind": "expression", "math_text": "(-1897 + 7117 - (-16819)) * (-5160)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1897, \"b\": 7117, \"c\": -16819, \"d\": -5160}", "seed": "18438109531124635933", "semantic_fingerprint": "sha256:5cdd91e3aab5d2b918aacb1cdd3543dabf504091d8253ac021aa960133c59388", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002769", "prompt": "Evaluate: 58115 + 3291 * (-8000)", "solution_steps": ["Multiply: 3291 * (-8000) = -26328000", "Add: 58115 + (-26328000) = -26269885"], "final_answer": "-26269885", "answer_type": "integer", "kind": "expression", "math_text": "58115 + 3291 * (-8000)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 58115, \"b\": 3291, \"c\": -8000}", "seed": "17418925561590173290", "semantic_fingerprint": "sha256:b0263c6ab258f354ed8cc330ac957501be7e2d400eb4ddb4df38e22001a35488", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002770", "prompt": "What is (-25167 - (-8798)) * (-1858)?", "solution_steps": ["Subtract: -25167 - (-8798) = -16369", "Multiply: -16369 * (-1858) = 30413602"], "final_answer": "30413602", "answer_type": "integer", "kind": "expression", "math_text": "(-25167 - (-8798)) * (-1858)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25167, \"b\": -8798, \"c\": -1858}", "seed": "17389086246395976215", "semantic_fingerprint": "sha256:4d494863049b15a74df47015f07cfc1471adff7be4c16f86cc38f4e3f08896e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002771", "prompt": "Calculate: -1923 * 1777", "solution_steps": ["Multiply: -1923 * 1777 = -3417171"], "final_answer": "-3417171", "answer_type": "integer", "kind": "expression", "math_text": "-1923 * 1777", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1923, \"b\": 1777}", "seed": "3948306857822541872", "semantic_fingerprint": "sha256:45b7c383acbc0f42644e8aa0530e02fbc2345f5c7c5fe067accaafb73bbe6647", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002772", "prompt": "Evaluate: -8107 - 5130", "solution_steps": ["Subtract: -8107 - 5130 = -13237"], "final_answer": "-13237", "answer_type": "integer", "kind": "expression", "math_text": "-8107 - 5130", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8107, \"b\": 5130}", "seed": "17325768539891201073", "semantic_fingerprint": "sha256:af1f5213bed1b5f8d45c4b3825590cd10008f2f12abe3b66399c39c2e0956b3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002773", "prompt": "What value of x satisfies x - 1848 = 5814?", "solution_steps": ["Add 1848 to both sides: x = 7662"], "final_answer": "7662", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1848 = 5814", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1848, \"b\": 5814}", "seed": "2969489505188753918", "semantic_fingerprint": "sha256:66cebe0bc24d0f68d0125f1c712d0fa3adb7a5c0f7593a590190de45712d331d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002774", "prompt": "Find x: 36(x - 55224) + 10391 = -18(x - 3653) + 64232", "solution_steps": ["Expand: 36x - 1988064 + 10391 = -18(x - 3653) + 64232", "Expand: 36x - 1988064 + 10391 = -18x + 65754 + 64232", "Combine constants: 36x - 1977673 = -18x + 65754 + 64232", "Combine constants: 36x - 1977673 = -18x + 129986", "Add 18x to both sides: 54x - 1977673 = 129986", "Add 1977673 to both sides: 54x = 2107659", "Divide both sides by 54: x = 702553/18"], "final_answer": "702553/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 55224) + 10391 = -18(x - 3653) + 64232", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 55224, \"c\": 10391, \"d\": -18, \"e\": 3653, \"f\": 64232}", "seed": "13958008341677675400", "semantic_fingerprint": "sha256:aa48fba6f41806baa0ea0d1ab9b0b697ee2c286f5223e417a6197bc261c458fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002775", "prompt": "What value of x satisfies -24x - 7896 = -3816?", "solution_steps": ["Add 7896 to both sides: -24x = 4080", "Divide both sides by -24: x = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x - 7896 = -3816", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 7896, \"d\": -3816, \"x\": -170}", "seed": "14235134911910892931", "semantic_fingerprint": "sha256:f1ac9166556cfcf316dc25bff2a752c4c93a59de65a9433b589c1edc58667d9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002776", "prompt": "Calculate: (86472 + (-72794)) / (61260 - (-5182))", "solution_steps": ["Add: 86472 + (-72794) = 13678", "Subtract: 61260 - (-5182) = 66442", "Divide: 13678 / 66442 = 6839/33221"], "final_answer": "6839/33221", "answer_type": "rational", "kind": "expression", "math_text": "(86472 + (-72794)) / (61260 - (-5182))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86472, \"b\": -72794, \"c\": 61260, \"d\": -5182}", "seed": "17780420695532714868", "semantic_fingerprint": "sha256:85a8cf82391852015fe71509a0489191d7d33bbdacd5692b5301df4c3e4a9b03", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002777", "prompt": "What value of x satisfies 24(x + 71016) = x?", "solution_steps": ["Expand: 24x + 1704384 = x", "Subtract x from both sides: 23x + 1704384 = 0", "Subtract 1704384 from both sides: 23x = -1704384", "Divide both sides by 23: x = -1704384/23"], "final_answer": "-1704384/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 71016) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 71016}", "seed": "11448218801450099724", "semantic_fingerprint": "sha256:6d65b5d028de37fed0494ed9ca4aa4071488781d2a7fb18eaa824195db8bf0b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002778", "prompt": "Calculate: -9575 + (3997 - (-44784))", "solution_steps": ["Subtract: 3997 - (-44784) = 48781", "Add: -9575 + 48781 = 39206"], "final_answer": "39206", "answer_type": "integer", "kind": "expression", "math_text": "-9575 + (3997 - (-44784))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9575, \"b\": 3997, \"c\": -44784}", "seed": "13766716828773977900", "semantic_fingerprint": "sha256:fdf822c377ac95dbb9450e92b8637537091f6b00cc5c752d29f49ee70e82a9fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002779", "prompt": "Calculate: -3702 * 42307 + (2836 + (-92781))", "solution_steps": ["Multiply: -3702 * 42307 = -156620514", "Add: 2836 + (-92781) = -89945", "Add: -156620514 + (-89945) = -156710459"], "final_answer": "-156710459", "answer_type": "integer", "kind": "expression", "math_text": "-3702 * 42307 + (2836 + (-92781))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3702, \"b\": 42307, \"c\": 2836, \"d\": -92781}", "seed": "16925465560506635275", "semantic_fingerprint": "sha256:6d736d85d31e12aab96f604e90967f9e5609a72082fea24b3ba53eb2db33b4ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002780", "prompt": "Solve the equation x = 16x for x.", "solution_steps": ["Subtract 16x from both sides: -15x = 0", "Divide both sides by -15: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 16x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16}", "seed": "5699684256181355282", "semantic_fingerprint": "sha256:5297d5967a2138ee5d4354235a00902b58a06d8cfc5766e8427ff68d2b583349", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002781", "prompt": "Find x: 29x - 39339 = 4761", "solution_steps": ["Add 39339 to both sides: 29x = 44100", "Divide both sides by 29: x = 44100/29"], "final_answer": "44100/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x - 39339 = 4761", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 39339, \"c\": 4761}", "seed": "6114964054539063773", "semantic_fingerprint": "sha256:69a9d650149181e40b0916ed5c5a26d9cd5f668a1ab409c40ac7c3c02931a459", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002782", "prompt": "Compute: (67398 - (-14545)) / (8253 + 68536)", "solution_steps": ["Subtract: 67398 - (-14545) = 81943", "Add: 8253 + 68536 = 76789", "Divide: 81943 / 76789 = 81943/76789"], "final_answer": "81943/76789", "answer_type": "rational", "kind": "expression", "math_text": "(67398 - (-14545)) / (8253 + 68536)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 67398, \"b\": -14545, \"c\": 8253, \"d\": 68536}", "seed": "1158442604308284035", "semantic_fingerprint": "sha256:d98e45455dad593c3931669f9908482363501ced8f4d0094b5364b6e1c82e32a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002783", "prompt": "Compute: -2385 / (-1148)", "solution_steps": ["Divide: -2385 / (-1148) = 2385/1148"], "final_answer": "2385/1148", "answer_type": "rational", "kind": "expression", "math_text": "-2385 / (-1148)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2385, \"b\": -1148}", "seed": "17556151802654190163", "semantic_fingerprint": "sha256:ed69bddd8bfa2aaf88e7a7edf35b6f3dd76ffa97455df676a11607fa6a453939", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002784", "prompt": "Solve for x: 32x - 69127 = x - 1223", "solution_steps": ["Subtract x from both sides: 31x - 69127 = -1223", "Add 69127 to both sides: 31x = 67904", "Divide both sides by 31: x = 67904/31"], "final_answer": "67904/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x - 69127 = x - 1223", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 69127, \"c\": 1223}", "seed": "5869486268879760175", "semantic_fingerprint": "sha256:0610e4aa763a55b61a0036f3aa0519a1e90c69ca87be1ec14a3e1ef6213ed305", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002785", "prompt": "What is -8974 / 27454?", "solution_steps": ["Divide: -8974 / 27454 = -641/1961"], "final_answer": "-641/1961", "answer_type": "rational", "kind": "expression", "math_text": "-8974 / 27454", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8974, \"b\": 27454}", "seed": "13244042185431337969", "semantic_fingerprint": "sha256:40f74b99fa7eff6e685ebd7498619181f57769e5f3d74bda0ccedcace4b4b0f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002786", "prompt": "Compute: 4211 + (52873 + 71270)", "solution_steps": ["Add: 52873 + 71270 = 124143", "Add: 4211 + 124143 = 128354"], "final_answer": "128354", "answer_type": "integer", "kind": "expression", "math_text": "4211 + (52873 + 71270)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4211, \"b\": 52873, \"c\": 71270}", "seed": "8271068061758927566", "semantic_fingerprint": "sha256:b6c1e7e23fa02b4e6946f4390b4813fe478f2dc0e50a6d8ccc5e47bc7f2b32a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002787", "prompt": "Calculate: 7622 + 8571 + (3910 - 1525)", "solution_steps": ["Add: 7622 + 8571 = 16193", "Subtract: 3910 - 1525 = 2385", "Add: 16193 + 2385 = 18578"], "final_answer": "18578", "answer_type": "integer", "kind": "expression", "math_text": "7622 + 8571 + (3910 - 1525)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7622, \"b\": 8571, \"c\": 3910, \"d\": 1525}", "seed": "5597316383140536330", "semantic_fingerprint": "sha256:699267bc24ca2f974c57c496e39fca15a31735b991ef5f79ede2275f572c0a1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002788", "prompt": "Calculate: 69619 / 1157 - (-9191)", "solution_steps": ["Divide: 69619 / 1157 = 69619/1157", "Subtract: 69619/1157 - (-9191) = 10703606/1157"], "final_answer": "10703606/1157", "answer_type": "rational", "kind": "expression", "math_text": "69619 / 1157 - (-9191)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69619, \"b\": 1157, \"c\": -9191}", "seed": "8736288145618074177", "semantic_fingerprint": "sha256:0b8ab4ae45b51a8e02bbf31194d0562fdad639ff74b9b9c0ec5772c2530ea80e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002789", "prompt": "Calculate: 52476 - 6157", "solution_steps": ["Subtract: 52476 - 6157 = 46319"], "final_answer": "46319", "answer_type": "integer", "kind": "expression", "math_text": "52476 - 6157", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 52476, \"b\": 6157}", "seed": "14677918971246488716", "semantic_fingerprint": "sha256:737389c911338bd0fbed3359d98d417b752fd7c963b2bc1128e9bd6a5689aec6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002790", "prompt": "Calculate: 7564 / (-5058 / (-29023 - (-5079)))", "solution_steps": ["Subtract: -29023 - (-5079) = -23944", "Divide: -5058 / (-23944) = 2529/11972", "Divide: 7564 / (2529/11972) = 90556208/2529"], "final_answer": "90556208/2529", "answer_type": "rational", "kind": "expression", "math_text": "7564 / (-5058 / (-29023 - (-5079)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7564, \"b\": -5058, \"c\": -29023, \"d\": -5079}", "seed": "11382848473881763327", "semantic_fingerprint": "sha256:132f331af00e5568f4ed10a37942b4b5141b6f5612340559217f9de1c0e03e3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002791", "prompt": "Compute: (5289 - (-13421)) / (-72452)", "solution_steps": ["Subtract: 5289 - (-13421) = 18710", "Divide: 18710 / (-72452) = -9355/36226"], "final_answer": "-9355/36226", "answer_type": "rational", "kind": "expression", "math_text": "(5289 - (-13421)) / (-72452)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5289, \"b\": -13421, \"c\": -72452}", "seed": "6187405655433951549", "semantic_fingerprint": "sha256:324b6ab779d9bd2f09a40b231bcb3b446c2e56fa34540da02f85d0b21636a7d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002792", "prompt": "Compute: -9647 / (-83770 + (-59597))", "solution_steps": ["Add: -83770 + (-59597) = -143367", "Divide: -9647 / (-143367) = 9647/143367"], "final_answer": "9647/143367", "answer_type": "rational", "kind": "expression", "math_text": "-9647 / (-83770 + (-59597))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9647, \"b\": -83770, \"c\": -59597}", "seed": "4329584291303166164", "semantic_fingerprint": "sha256:9b925e3090b0bda48d8c092a530eae02a52907d754a5d1b5c8c0d4c4d1a78fce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002793", "prompt": "What is -2087 + (-5987) - (-34177) - 97748 / (-9591)?", "solution_steps": ["Add: -2087 + (-5987) = -8074", "Subtract: -8074 - (-34177) = 26103", "Divide: 97748 / (-9591) = -97748/9591", "Subtract: 26103 - (-97748/9591) = 250451621/9591"], "final_answer": "250451621/9591", "answer_type": "rational", "kind": "expression", "math_text": "-2087 + (-5987) - (-34177) - 97748 / (-9591)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2087, \"b\": -5987, \"c\": -34177, \"d\": 97748, \"e\": -9591}", "seed": "14978125145006179556", "semantic_fingerprint": "sha256:9d57d70cef454ae8097b1f538ce5db8a5e227bc616ae16774b38d369a62c2f2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002794", "prompt": "Solve the equation 22(x + 3537) - 45208 = 38x for x.", "solution_steps": ["Expand: 22x + 77814 - 45208 = 38x", "Combine constants: 22x + 32606 = 38x", "Subtract 38x from both sides: -16x + 32606 = 0", "Subtract 32606 from both sides: -16x = -32606", "Divide both sides by -16: x = 16303/8"], "final_answer": "16303/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 3537) - 45208 = 38x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 3537, \"c\": 45208, \"d\": 38}", "seed": "12436414858184599337", "semantic_fingerprint": "sha256:6a3b3f3356353ae410d5e7fab4eef25f7c433fbd87da0cf7b7c881418620e967", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002795", "prompt": "Calculate: -2842 * (-6711) / 32080", "solution_steps": ["Multiply: -2842 * (-6711) = 19072662", "Divide: 19072662 / 32080 = 9536331/16040"], "final_answer": "9536331/16040", "answer_type": "rational", "kind": "expression", "math_text": "-2842 * (-6711) / 32080", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2842, \"b\": -6711, \"c\": 32080}", "seed": "17015575496636233165", "semantic_fingerprint": "sha256:32917a08f1400d39cb2972cc1cf098c38fa84522907486426b76eec39ce80621", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002796", "prompt": "Evaluate: -8705 - (-52689) - (8120 - (96693 - 58498))", "solution_steps": ["Subtract: -8705 - (-52689) = 43984", "Subtract: 96693 - 58498 = 38195", "Subtract: 8120 - 38195 = -30075", "Subtract: 43984 - (-30075) = 74059"], "final_answer": "74059", "answer_type": "integer", "kind": "expression", "math_text": "-8705 - (-52689) - (8120 - (96693 - 58498))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8705, \"b\": -52689, \"c\": 8120, \"d\": 96693, \"e\": 58498}", "seed": "5707691437881632416", "semantic_fingerprint": "sha256:4b9b683cdcc78f530ff1e51b20d92e430dc9d196453b66455a3d980aaf19c3e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002797", "prompt": "Solve the equation -36(x + 4210) = 23(x + 41913) for x.", "solution_steps": ["Expand: -36x - 151560 = 23(x + 41913)", "Expand: -36x - 151560 = 23x + 963999", "Subtract 23x from both sides: -59x - 151560 = 963999", "Add 151560 to both sides: -59x = 1115559", "Divide both sides by -59: x = -1115559/59"], "final_answer": "-1115559/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x + 4210) = 23(x + 41913)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 4210, \"c\": 23, \"d\": 41913}", "seed": "10429676881670210318", "semantic_fingerprint": "sha256:5a41c01a9741fca4781ad6b3b043d8c4ca17b6b7678a2fa66dd209eec3da333c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002798", "prompt": "Compute: 77608 + 6699 - (-7481 * (5466 / (-4359)) - 5164)", "solution_steps": ["Add: 77608 + 6699 = 84307", "Divide: 5466 / (-4359) = -1822/1453", "Multiply: -7481 * (-1822/1453) = 13630382/1453", "Subtract: 13630382/1453 - 5164 = 6127090/1453", "Subtract: 84307 - 6127090/1453 = 116370981/1453"], "final_answer": "116370981/1453", "answer_type": "rational", "kind": "expression", "math_text": "77608 + 6699 - (-7481 * (5466 / (-4359)) - 5164)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (* n (/ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 77608, \"b\": 6699, \"c\": -7481, \"d\": 5466, \"e\": -4359, \"f\": 5164}", "seed": "5201339139870057417", "semantic_fingerprint": "sha256:34e0ef7cc95c147bee8615e03901637cd7e045c17ca4c0517ce757053f965d24", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002799", "prompt": "Calculate: -9509 + (-19127 + (-58663) + (-7693))", "solution_steps": ["Add: -19127 + (-58663) = -77790", "Add: -77790 + (-7693) = -85483", "Add: -9509 + (-85483) = -94992"], "final_answer": "-94992", "answer_type": "integer", "kind": "expression", "math_text": "-9509 + (-19127 + (-58663) + (-7693))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9509, \"b\": -19127, \"c\": -58663, \"d\": -7693}", "seed": "18177320228822884217", "semantic_fingerprint": "sha256:5ed20194718f211c467c0c8ace8f01f05b6909b0c489fc21a1223cb7c51bace5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002800", "prompt": "Evaluate: -50112 + (-8796 + 53430)", "solution_steps": ["Add: -8796 + 53430 = 44634", "Add: -50112 + 44634 = -5478"], "final_answer": "-5478", "answer_type": "integer", "kind": "expression", "math_text": "-50112 + (-8796 + 53430)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50112, \"b\": -8796, \"c\": 53430}", "seed": "2654860348246234162", "semantic_fingerprint": "sha256:58e37ed9eb7a5355a48cf82f1379a33bb5f4710a5cd97c6a2af0b2dba3fb8dfa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002801", "prompt": "Find x: 28x + 3969 = x", "solution_steps": ["Subtract x from both sides: 27x + 3969 = 0", "Subtract 3969 from both sides: 27x = -3969", "Divide both sides by 27: x = -147"], "final_answer": "-147", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 3969 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": 3969, \"x\": -147}", "seed": "14806557784689560225", "semantic_fingerprint": "sha256:dc7bb8649db20370ce4e5c040fe5f945e1195a4aba74dcab3f3769607f3f097d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002802", "prompt": "Calculate: 64627 - (-7572 + (-7226))", "solution_steps": ["Add: -7572 + (-7226) = -14798", "Subtract: 64627 - (-14798) = 79425"], "final_answer": "79425", "answer_type": "integer", "kind": "expression", "math_text": "64627 - (-7572 + (-7226))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64627, \"b\": -7572, \"c\": -7226}", "seed": "11346421895839605255", "semantic_fingerprint": "sha256:89d61b6d93117d98d18f62e50f8a41e67f7c040245762bd9ce92b52cf192dc0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002803", "prompt": "Evaluate: 61167 * (-68908) / 7211 - (-70531 - (-6483))", "solution_steps": ["Multiply: 61167 * (-68908) = -4214895636", "Divide: -4214895636 / 7211 = -4214895636/7211", "Subtract: -70531 - (-6483) = -64048", "Subtract: -4214895636/7211 - (-64048) = -3753045508/7211"], "final_answer": "-3753045508/7211", "answer_type": "rational", "kind": "expression", "math_text": "61167 * (-68908) / 7211 - (-70531 - (-6483))", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 61167, \"b\": -68908, \"c\": 7211, \"d\": -70531, \"e\": -6483}", "seed": "2658210693641202728", "semantic_fingerprint": "sha256:1b9bdd458ce976b21b4f706328b090dfaf1233807186a75dcfce95320d06a44e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002804", "prompt": "What value of x satisfies 20(x - 6899) + 92693 = -6014?", "solution_steps": ["Expand: 20x - 137980 + 92693 = -6014", "Combine constants: 20x - 45287 = -6014", "Add 45287 to both sides: 20x = 39273", "Divide both sides by 20: x = 39273/20"], "final_answer": "39273/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 6899) + 92693 = -6014", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 6899, \"c\": 92693, \"d\": -6014}", "seed": "5461586174319474689", "semantic_fingerprint": "sha256:85ebb9b655bfed767a66d7ab634c52a521df847bc45e8cca8109a4480ef7d9c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002805", "prompt": "Find x: 21(x + 9468) + 52118 = 12910", "solution_steps": ["Expand: 21x + 198828 + 52118 = 12910", "Combine constants: 21x + 250946 = 12910", "Subtract 250946 from both sides: 21x = -238036", "Divide both sides by 21: x = -238036/21"], "final_answer": "-238036/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 9468) + 52118 = 12910", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 9468, \"c\": 52118, \"d\": 12910}", "seed": "5153785134031584892", "semantic_fingerprint": "sha256:331a06588dd378a6051522192ec6e3a11f80a3e7da9acb8803f8ab5fe1adef85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002806", "prompt": "Calculate: 45494 - (-6927) + 3255", "solution_steps": ["Subtract: 45494 - (-6927) = 52421", "Add: 52421 + 3255 = 55676"], "final_answer": "55676", "answer_type": "integer", "kind": "expression", "math_text": "45494 - (-6927) + 3255", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45494, \"b\": -6927, \"c\": 3255}", "seed": "414165831899468927", "semantic_fingerprint": "sha256:29d04c8796bdd469475d261d157b29aee2f7361f175e3d7f4d322d3facdf7056", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002807", "prompt": "What is -2424 * 8649?", "solution_steps": ["Multiply: -2424 * 8649 = -20965176"], "final_answer": "-20965176", "answer_type": "integer", "kind": "expression", "math_text": "-2424 * 8649", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2424, \"b\": 8649}", "seed": "16449078196797604640", "semantic_fingerprint": "sha256:6a8e018ac9353746530728d63e8353c216607fd9ad19102a6c448e05e74b27b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002808", "prompt": "Evaluate: -5256 - (-53631) - (-2979 + 5823 - (-27444))", "solution_steps": ["Subtract: -5256 - (-53631) = 48375", "Add: -2979 + 5823 = 2844", "Subtract: 2844 - (-27444) = 30288", "Subtract: 48375 - 30288 = 18087"], "final_answer": "18087", "answer_type": "integer", "kind": "expression", "math_text": "-5256 - (-53631) - (-2979 + 5823 - (-27444))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5256, \"b\": -53631, \"c\": -2979, \"d\": 5823, \"e\": -27444}", "seed": "16381424898737932435", "semantic_fingerprint": "sha256:b67b902479b844df4525d4d511ecef51c78cb082ea1b54200fadac67d0798173", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002809", "prompt": "Evaluate: -6750 / (-2055 / (-9208 - 8286))", "solution_steps": ["Subtract: -9208 - 8286 = -17494", "Divide: -2055 / (-17494) = 2055/17494", "Divide: -6750 / (2055/17494) = -7872300/137"], "final_answer": "-7872300/137", "answer_type": "rational", "kind": "expression", "math_text": "-6750 / (-2055 / (-9208 - 8286))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6750, \"b\": -2055, \"c\": -9208, \"d\": 8286}", "seed": "7079246976653559354", "semantic_fingerprint": "sha256:d452f29b1eda42cb941dd3e534d51fcfdd10dba8d29256dbd639c0c34796ab1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002810", "prompt": "Evaluate: -7107 - (-6675) / (-5972)", "solution_steps": ["Divide: -6675 / (-5972) = 6675/5972", "Subtract: -7107 - 6675/5972 = -42449679/5972"], "final_answer": "-42449679/5972", "answer_type": "rational", "kind": "expression", "math_text": "-7107 - (-6675) / (-5972)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7107, \"b\": -6675, \"c\": -5972}", "seed": "4397107576656979163", "semantic_fingerprint": "sha256:73f82fa2f6941170d29cc63c89e4e484c270c401324b930e5676fdb39a1b1e30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002811", "prompt": "Evaluate: (49234 + (-10370 + (-2984)) + 10811) / (-8393)", "solution_steps": ["Add: -10370 + (-2984) = -13354", "Add: 49234 + (-13354) = 35880", "Add: 35880 + 10811 = 46691", "Divide: 46691 / (-8393) = -46691/8393"], "final_answer": "-46691/8393", "answer_type": "rational", "kind": "expression", "math_text": "(49234 + (-10370 + (-2984)) + 10811) / (-8393)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 49234, \"b\": -10370, \"c\": -2984, \"d\": 10811, \"e\": -8393}", "seed": "15413872803242573267", "semantic_fingerprint": "sha256:ad0064e06e97e9a792b2eec455e8e3a32d24a9a30120cdab8866e06ef08092df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002812", "prompt": "Calculate: -5606 / (-1594)", "solution_steps": ["Divide: -5606 / (-1594) = 2803/797"], "final_answer": "2803/797", "answer_type": "rational", "kind": "expression", "math_text": "-5606 / (-1594)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5606, \"b\": -1594}", "seed": "1979139676959329649", "semantic_fingerprint": "sha256:17a03cc499e11dc70af4909a30fcfbc62498a9d4567d4f374adbbba6524011b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002813", "prompt": "What is -30749 * (-3079 * 3555 + (9589 - 35370))?", "solution_steps": ["Multiply: -3079 * 3555 = -10945845", "Subtract: 9589 - 35370 = -25781", "Add: -10945845 + (-25781) = -10971626", "Multiply: -30749 * (-10971626) = 337366527874"], "final_answer": "337366527874", "answer_type": "integer", "kind": "expression", "math_text": "-30749 * (-3079 * 3555 + (9589 - 35370))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30749, \"b\": -3079, \"c\": 3555, \"d\": 9589, \"e\": 35370}", "seed": "12944120770927421425", "semantic_fingerprint": "sha256:dc4124168b3d9182974e4845c6c6e395eddd12f3d469a60b276408f3462b5e9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002814", "prompt": "Evaluate: (9961 * 3404 + (-68990)) / (-6447 / (-65501))", "solution_steps": ["Multiply: 9961 * 3404 = 33907244", "Add: 33907244 + (-68990) = 33838254", "Divide: -6447 / (-65501) = 6447/65501", "Divide: 33838254 / (6447/65501) = 738813158418/2149"], "final_answer": "738813158418/2149", "answer_type": "rational", "kind": "expression", "math_text": "(9961 * 3404 + (-68990)) / (-6447 / (-65501))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9961, \"b\": 3404, \"c\": -68990, \"d\": -6447, \"e\": -65501}", "seed": "3824281976116905641", "semantic_fingerprint": "sha256:92083a403557f09c9564454cd68d9d90d37de6327b90b82759f88b70196661f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002815", "prompt": "What is 6843 + (9650 + (-3867) - (-25755))?", "solution_steps": ["Add: 9650 + (-3867) = 5783", "Subtract: 5783 - (-25755) = 31538", "Add: 6843 + 31538 = 38381"], "final_answer": "38381", "answer_type": "integer", "kind": "expression", "math_text": "6843 + (9650 + (-3867) - (-25755))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6843, \"b\": 9650, \"c\": -3867, \"d\": -25755}", "seed": "171691033553501230", "semantic_fingerprint": "sha256:cc9fe96c50a60fb3b7937e27de4b75930f14f65407ae31768f430743c07d4fef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002816", "prompt": "Find x: x + 2244 = 13x", "solution_steps": ["Subtract 13x from both sides: -12x + 2244 = 0", "Subtract 2244 from both sides: -12x = -2244", "Divide both sides by -12: x = 187"], "final_answer": "187", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2244 = 13x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"c\": 2244, \"x\": 187}", "seed": "4341855382181790962", "semantic_fingerprint": "sha256:58bd91a4f55532ac2149ed8a9af1e6690418df78a52f8ddf9206be2744c6b946", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002817", "prompt": "What value of x satisfies -25x + 40985 = 17x + 39095?", "solution_steps": ["Subtract 17x from both sides: -42x + 40985 = 39095", "Subtract 40985 from both sides: -42x = -1890", "Divide both sides by -42: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x + 40985 = 17x + 39095", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 40985, \"c\": 17, \"e\": 39095, \"x\": 45}", "seed": "11564947132111298195", "semantic_fingerprint": "sha256:78a7942ea6e39da10ced90e6fd5cb459bd595a4d03c859c0fe224bf3bf0e89dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002818", "prompt": "Evaluate: (-7613 + 6875) * (-6094)", "solution_steps": ["Add: -7613 + 6875 = -738", "Multiply: -738 * (-6094) = 4497372"], "final_answer": "4497372", "answer_type": "integer", "kind": "expression", "math_text": "(-7613 + 6875) * (-6094)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7613, \"b\": 6875, \"c\": -6094}", "seed": "18296281141880880366", "semantic_fingerprint": "sha256:0c2f7e3c3f89cfddf7f6afa577046c034b325c26228e94fda8afbc8132f6edee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002819", "prompt": "Evaluate: (-9306 + 7629 * (-7838)) * 6198", "solution_steps": ["Multiply: 7629 * (-7838) = -59796102", "Add: -9306 + (-59796102) = -59805408", "Multiply: -59805408 * 6198 = -370673918784"], "final_answer": "-370673918784", "answer_type": "integer", "kind": "expression", "math_text": "(-9306 + 7629 * (-7838)) * 6198", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9306, \"b\": 7629, \"c\": -7838, \"d\": 6198}", "seed": "17178195218260752431", "semantic_fingerprint": "sha256:3731be6a5c1493ab29f639017e9a66ba7e2c88df93210e0db108e666d3b4c988", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002820", "prompt": "What is -8481 - (1326 + 89577 / (-37822))?", "solution_steps": ["Divide: 89577 / (-37822) = -89577/37822", "Add: 1326 + (-89577/37822) = 50062395/37822", "Subtract: -8481 - 50062395/37822 = -370830777/37822"], "final_answer": "-370830777/37822", "answer_type": "rational", "kind": "expression", "math_text": "-8481 - (1326 + 89577 / (-37822))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8481, \"b\": 1326, \"c\": 89577, \"d\": -37822}", "seed": "8817394681845723280", "semantic_fingerprint": "sha256:bef77c1775ae6a12545f0f4187b32b4cf44483493f58f4c479ca10f1d686e44b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002821", "prompt": "What value of x satisfies 29x + 3347 = -13(x - 7961) - 98634?", "solution_steps": ["Expand: 29x + 3347 = -13x + 103493 - 98634", "Combine constants: 29x + 3347 = -13x + 4859", "Add 13x to both sides: 42x + 3347 = 4859", "Subtract 3347 from both sides: 42x = 1512", "Divide both sides by 42: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x + 3347 = -13(x - 7961) - 98634", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 3347, \"c\": -13, \"d\": 7961, \"f\": -98634, \"x\": 36}", "seed": "16086551457349402321", "semantic_fingerprint": "sha256:f83f75dc5bb50eacbe822eeed6afb186fb2d9154db2c19b6979b7239a6f621e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002822", "prompt": "What is 1417 * 6202 + (-5236)?", "solution_steps": ["Multiply: 1417 * 6202 = 8788234", "Add: 8788234 + (-5236) = 8782998"], "final_answer": "8782998", "answer_type": "integer", "kind": "expression", "math_text": "1417 * 6202 + (-5236)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1417, \"b\": 6202, \"c\": -5236}", "seed": "15890461434888527789", "semantic_fingerprint": "sha256:31cd98a18e2c34e609e43e2b53e9bec030de70f5bfda6b3d9a18e3e2ff979f46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002823", "prompt": "Solve the equation -39(x - 4710) - 28084 = 27(x + 87421) for x.", "solution_steps": ["Expand: -39x + 183690 - 28084 = 27(x + 87421)", "Expand: -39x + 183690 - 28084 = 27x + 2360367", "Combine constants: -39x + 155606 = 27x + 2360367", "Subtract 27x from both sides: -66x + 155606 = 2360367", "Subtract 155606 from both sides: -66x = 2204761", "Divide both sides by -66: x = -2204761/66"], "final_answer": "-2204761/66", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x - 4710) - 28084 = 27(x + 87421)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 4710, \"c\": 28084, \"d\": 27, \"e\": 87421}", "seed": "7039333964027341200", "semantic_fingerprint": "sha256:c27a7f592c9bee0ed79ee8f88377910c02ded740802e4890434074e60e661883", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002824", "prompt": "Compute: 13675 * 45997", "solution_steps": ["Multiply: 13675 * 45997 = 629008975"], "final_answer": "629008975", "answer_type": "integer", "kind": "expression", "math_text": "13675 * 45997", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 13675, \"b\": 45997}", "seed": "8621506555834859972", "semantic_fingerprint": "sha256:702ba00cc5bebde5ab260b461f4962ba5b1ec4bd04c28da2f5c7dfb3089a8383", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002825", "prompt": "Find x: -36(x + 33131) - 2706 = 18(x + 7692)", "solution_steps": ["Expand: -36x - 1192716 - 2706 = 18(x + 7692)", "Expand: -36x - 1192716 - 2706 = 18x + 138456", "Combine constants: -36x - 1195422 = 18x + 138456", "Subtract 18x from both sides: -54x - 1195422 = 138456", "Add 1195422 to both sides: -54x = 1333878", "Divide both sides by -54: x = -222313/9"], "final_answer": "-222313/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x + 33131) - 2706 = 18(x + 7692)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 33131, \"c\": 2706, \"d\": 18, \"e\": 7692}", "seed": "346217396129786414", "semantic_fingerprint": "sha256:6ed8d592a840de8671bf666fe7f9bddb4002550703c1cc096df87b5e31aed62a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002826", "prompt": "Calculate: -11617 - 3104", "solution_steps": ["Subtract: -11617 - 3104 = -14721"], "final_answer": "-14721", "answer_type": "integer", "kind": "expression", "math_text": "-11617 - 3104", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -11617, \"b\": 3104}", "seed": "5438452349049854059", "semantic_fingerprint": "sha256:6656041e8849429c6006f33869155c5398fb211c23a0d6a8dac65dcd3a991bf0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002827", "prompt": "Solve for x: x + 5040 = -39x", "solution_steps": ["Add 39x to both sides: 40x + 5040 = 0", "Subtract 5040 from both sides: 40x = -5040", "Divide both sides by 40: x = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5040 = -39x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39, \"c\": 5040, \"x\": -126}", "seed": "10860122401743468365", "semantic_fingerprint": "sha256:ebea5ee8f141e02ca64986d9f42228170582e5a08c9bcb8837b3e8810c84162c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002828", "prompt": "Compute: 3585 / (8776 - (-89945 - 9845))", "solution_steps": ["Subtract: -89945 - 9845 = -99790", "Subtract: 8776 - (-99790) = 108566", "Divide: 3585 / 108566 = 3585/108566"], "final_answer": "3585/108566", "answer_type": "rational", "kind": "expression", "math_text": "3585 / (8776 - (-89945 - 9845))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3585, \"b\": 8776, \"c\": -89945, \"d\": 9845}", "seed": "12935521269540932101", "semantic_fingerprint": "sha256:5de7416187f842d2267080628693963b844961cc9e2c93a6dbca2e77c4057817", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002829", "prompt": "Evaluate: -13181 - (-16617)", "solution_steps": ["Subtract: -13181 - (-16617) = 3436"], "final_answer": "3436", "answer_type": "integer", "kind": "expression", "math_text": "-13181 - (-16617)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -13181, \"b\": -16617}", "seed": "1152136060411900157", "semantic_fingerprint": "sha256:17dcaf90e31df024dc2bac4067030cf2b592e0b11ad9ac6af308a0b622bed8c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002830", "prompt": "Solve the equation 14x = 36x - 3630 for x.", "solution_steps": ["Subtract 36x from both sides: -22x = -3630", "Divide both sides by -22: x = 165"], "final_answer": "165", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = 36x - 3630", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 36, \"d\": -3630, \"x\": 165}", "seed": "14728280768139162713", "semantic_fingerprint": "sha256:1bccbb9571899d2ab30406c66081e93c23ec18248a5905686614af7a43e561bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002831", "prompt": "What is 5558 * ((3455 - 4958) * 2292) + (-55545 - (-26616))?", "solution_steps": ["Subtract: 3455 - 4958 = -1503", "Multiply: -1503 * 2292 = -3444876", "Multiply: 5558 * (-3444876) = -19146620808", "Subtract: -55545 - (-26616) = -28929", "Add: -19146620808 + (-28929) = -19146649737"], "final_answer": "-19146649737", "answer_type": "integer", "kind": "expression", "math_text": "5558 * ((3455 - 4958) * 2292) + (-55545 - (-26616))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* (- n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5558, \"b\": 3455, \"c\": 4958, \"d\": 2292, \"e\": -55545, \"f\": -26616}", "seed": "15955083871492709659", "semantic_fingerprint": "sha256:2846eb9419ab959ae65e42cb23fc50bf1331e25bbcbeba4ae3c7ca323c52d667", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002832", "prompt": "Compute: 8179 - (-2260 - 9107 + (-8464) - (-1765))", "solution_steps": ["Subtract: -2260 - 9107 = -11367", "Add: -11367 + (-8464) = -19831", "Subtract: -19831 - (-1765) = -18066", "Subtract: 8179 - (-18066) = 26245"], "final_answer": "26245", "answer_type": "integer", "kind": "expression", "math_text": "8179 - (-2260 - 9107 + (-8464) - (-1765))", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8179, \"b\": -2260, \"c\": 9107, \"d\": -8464, \"e\": -1765}", "seed": "18205809255747857163", "semantic_fingerprint": "sha256:74289d8400af3ce8c723cca97b1247d542cf88f8133e6b7176590e4ab30e94b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002833", "prompt": "Solve for x: 19(x + 53737) - 7981 = 16(x + 35974)", "solution_steps": ["Expand: 19x + 1021003 - 7981 = 16(x + 35974)", "Expand: 19x + 1021003 - 7981 = 16x + 575584", "Combine constants: 19x + 1013022 = 16x + 575584", "Subtract 16x from both sides: 3x + 1013022 = 575584", "Subtract 1013022 from both sides: 3x = -437438", "Divide both sides by 3: x = -437438/3"], "final_answer": "-437438/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 53737) - 7981 = 16(x + 35974)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 53737, \"c\": 7981, \"d\": 16, \"e\": 35974}", "seed": "8387389217666423363", "semantic_fingerprint": "sha256:5509538ca4939305b94f106df2513e498df53ace3e1a1ac61bb25991503066d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002834", "prompt": "Solve the equation -24x - 5973 = x + 3344 for x.", "solution_steps": ["Subtract x from both sides: -25x - 5973 = 3344", "Add 5973 to both sides: -25x = 9317", "Divide both sides by -25: x = -9317/25"], "final_answer": "-9317/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x - 5973 = x + 3344", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 5973, \"c\": 3344}", "seed": "11905934245391127698", "semantic_fingerprint": "sha256:961e56269313943193c5db0097537cc83df71956ecf562b3264190d5289b5312", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002835", "prompt": "What is (-71872 - 37260) / 6763?", "solution_steps": ["Subtract: -71872 - 37260 = -109132", "Divide: -109132 / 6763 = -109132/6763"], "final_answer": "-109132/6763", "answer_type": "rational", "kind": "expression", "math_text": "(-71872 - 37260) / 6763", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71872, \"b\": 37260, \"c\": 6763}", "seed": "2964886401065054943", "semantic_fingerprint": "sha256:df1c775f1a5b0ad6d713e907800bbd32ffd5f70796dfc2570eb5c0e58632576b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002836", "prompt": "Evaluate: (-6247 + 11951 + 8166) * (-15255) + (-15929)", "solution_steps": ["Add: -6247 + 11951 = 5704", "Add: 5704 + 8166 = 13870", "Multiply: 13870 * (-15255) = -211586850", "Add: -211586850 + (-15929) = -211602779"], "final_answer": "-211602779", "answer_type": "integer", "kind": "expression", "math_text": "(-6247 + 11951 + 8166) * (-15255) + (-15929)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6247, \"b\": 11951, \"c\": 8166, \"d\": -15255, \"e\": -15929}", "seed": "2987930804508505890", "semantic_fingerprint": "sha256:2c60b88496b8734cd57845b3b9ad67905576d9f77dfafaf6d54b8eddc66974bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002837", "prompt": "What value of x satisfies x + 2226 = 22x?", "solution_steps": ["Subtract 22x from both sides: -21x + 2226 = 0", "Subtract 2226 from both sides: -21x = -2226", "Divide both sides by -21: x = 106"], "final_answer": "106", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2226 = 22x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": 2226, \"x\": 106}", "seed": "15383138653859215754", "semantic_fingerprint": "sha256:0abb228deb5104a5bb2c705b0e23a2e9314f5bece77fc68ada9a7e0f713a4e82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002838", "prompt": "Solve for x: x + 2561 = 23x + 27374", "solution_steps": ["Subtract 23x from both sides: -22x + 2561 = 27374", "Subtract 2561 from both sides: -22x = 24813", "Divide both sides by -22: x = -24813/22"], "final_answer": "-24813/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2561 = 23x + 27374", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2561, \"b\": 23, \"c\": 27374}", "seed": "8869159550203539922", "semantic_fingerprint": "sha256:96777590f1cee8b9f246a0d35b1f1eafa9316e0a454cc9ac99f9217e9317dc27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002839", "prompt": "Compute: -23999 + 7235", "solution_steps": ["Add: -23999 + 7235 = -16764"], "final_answer": "-16764", "answer_type": "integer", "kind": "expression", "math_text": "-23999 + 7235", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -23999, \"b\": 7235}", "seed": "3917640494831903415", "semantic_fingerprint": "sha256:8b7258b58f80230a80fce4d390349da1eb063f889c08a59fc2aaec1f7765132b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002840", "prompt": "Compute: -1891 * (-24181)", "solution_steps": ["Multiply: -1891 * (-24181) = 45726271"], "final_answer": "45726271", "answer_type": "integer", "kind": "expression", "math_text": "-1891 * (-24181)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1891, \"b\": -24181}", "seed": "11401180746134119093", "semantic_fingerprint": "sha256:0ef336ea17ee29472210e86d0d55e3e0da1a1a95fcbb54aa24b44c332d555104", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002841", "prompt": "Compute: (-2433 + (-5395)) * (-15837 * (5262 / 4913))", "solution_steps": ["Add: -2433 + (-5395) = -7828", "Divide: 5262 / 4913 = 5262/4913", "Multiply: -15837 * (5262/4913) = -83334294/4913", "Multiply: -7828 * (-83334294/4913) = 652340853432/4913"], "final_answer": "652340853432/4913", "answer_type": "rational", "kind": "expression", "math_text": "(-2433 + (-5395)) * (-15837 * (5262 / 4913))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2433, \"b\": -5395, \"c\": -15837, \"d\": 5262, \"e\": 4913}", "seed": "11775695976108543149", "semantic_fingerprint": "sha256:bd54c1a8be13438da6cb9acc287dfb4922f60452f30535db58723a4648a30bf3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002842", "prompt": "What is -45873 - (-2180) / (-4789)?", "solution_steps": ["Divide: -2180 / (-4789) = 2180/4789", "Subtract: -45873 - 2180/4789 = -219687977/4789"], "final_answer": "-219687977/4789", "answer_type": "rational", "kind": "expression", "math_text": "-45873 - (-2180) / (-4789)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45873, \"b\": -2180, \"c\": -4789}", "seed": "15731520307164670422", "semantic_fingerprint": "sha256:f31368f0bd0798778fbbb40838369f774cf0bab7c050fb52d9c10a9f3439b77a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002843", "prompt": "Evaluate: 8785 * (5701 - (-2185)) + 3361 - (-54045)", "solution_steps": ["Subtract: 5701 - (-2185) = 7886", "Multiply: 8785 * 7886 = 69278510", "Add: 69278510 + 3361 = 69281871", "Subtract: 69281871 - (-54045) = 69335916"], "final_answer": "69335916", "answer_type": "integer", "kind": "expression", "math_text": "8785 * (5701 - (-2185)) + 3361 - (-54045)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8785, \"b\": 5701, \"c\": -2185, \"d\": 3361, \"e\": -54045}", "seed": "6801316827520224046", "semantic_fingerprint": "sha256:6e575387108e9695b22a165979c7335c6f7cb9d267d3eb8b0520107b35dbdb9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002844", "prompt": "Compute: -5372 - 4171 - 6938 * (-3132 / (-4803)) / (-6792)", "solution_steps": ["Subtract: -5372 - 4171 = -9543", "Divide: -3132 / (-4803) = 1044/1601", "Multiply: 6938 * (1044/1601) = 7243272/1601", "Divide: (7243272/1601) / (-6792) = -301803/453083", "Subtract: -9543 - (-301803/453083) = -4323469266/453083"], "final_answer": "-4323469266/453083", "answer_type": "rational", "kind": "expression", "math_text": "-5372 - 4171 - 6938 * (-3132 / (-4803)) / (-6792)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (* n (/ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5372, \"b\": 4171, \"c\": 6938, \"d\": -3132, \"e\": -4803, \"f\": -6792}", "seed": "8226817838741265153", "semantic_fingerprint": "sha256:cb7ed42aa0880bd6417b34c5694d7118aba76e14995e0c3e724c88fddf20a028", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002845", "prompt": "Compute: 5990 + (7395 + 8898) * 5166 - (-18544)", "solution_steps": ["Add: 7395 + 8898 = 16293", "Multiply: 16293 * 5166 = 84169638", "Add: 5990 + 84169638 = 84175628", "Subtract: 84175628 - (-18544) = 84194172"], "final_answer": "84194172", "answer_type": "integer", "kind": "expression", "math_text": "5990 + (7395 + 8898) * 5166 - (-18544)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5990, \"b\": 7395, \"c\": 8898, \"d\": 5166, \"e\": -18544}", "seed": "17476415662910374987", "semantic_fingerprint": "sha256:a4c2116efe95a2d590285d2ab48773b61f66cab0caee71e15e0ec3d7d675fad8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002846", "prompt": "Calculate: 5067 * (1229 - (-2759) - 4776)", "solution_steps": ["Subtract: 1229 - (-2759) = 3988", "Subtract: 3988 - 4776 = -788", "Multiply: 5067 * (-788) = -3992796"], "final_answer": "-3992796", "answer_type": "integer", "kind": "expression", "math_text": "5067 * (1229 - (-2759) - 4776)", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5067, \"b\": 1229, \"c\": -2759, \"d\": 4776}", "seed": "15011306145511502257", "semantic_fingerprint": "sha256:b6be3bbba3847e164532b0ed8faa3028953db0f037b1df40e5d5ce71d8672527", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002847", "prompt": "Calculate: 60352 + (5970 / 4869 - (-7767))", "solution_steps": ["Divide: 5970 / 4869 = 1990/1623", "Subtract: 1990/1623 - (-7767) = 12607831/1623", "Add: 60352 + 12607831/1623 = 110559127/1623"], "final_answer": "110559127/1623", "answer_type": "rational", "kind": "expression", "math_text": "60352 + (5970 / 4869 - (-7767))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60352, \"b\": 5970, \"c\": 4869, \"d\": -7767}", "seed": "17190305590162074499", "semantic_fingerprint": "sha256:cdcdd645a8f28d372da9d6cb9816e24acfb5dfdbfe3c598606e1d87892e83cd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002848", "prompt": "Compute: 15532 + 3368", "solution_steps": ["Add: 15532 + 3368 = 18900"], "final_answer": "18900", "answer_type": "integer", "kind": "expression", "math_text": "15532 + 3368", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 15532, \"b\": 3368}", "seed": "11472913514720817325", "semantic_fingerprint": "sha256:d745720ac96f45da428bf1ec0bec1621e059225b727bc0d70e4ccfe7ed404aef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002849", "prompt": "Solve for x: -17x + 76645 = x - 16685", "solution_steps": ["Subtract x from both sides: -18x + 76645 = -16685", "Subtract 76645 from both sides: -18x = -93330", "Divide both sides by -18: x = 5185"], "final_answer": "5185", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x + 76645 = x - 16685", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 76645, \"c\": 16685}", "seed": "15667688757671101111", "semantic_fingerprint": "sha256:7dc7aa727a0676f08b03244d02b336ca9b9fb763bf86969e49aa0cdbb501da25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002850", "prompt": "Compute: 6654 + 99626 / 72721", "solution_steps": ["Divide: 99626 / 72721 = 99626/72721", "Add: 6654 + 99626/72721 = 483985160/72721"], "final_answer": "483985160/72721", "answer_type": "rational", "kind": "expression", "math_text": "6654 + 99626 / 72721", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6654, \"b\": 99626, \"c\": 72721}", "seed": "13914763443605627633", "semantic_fingerprint": "sha256:5cc83ea10c477a1bc6752a3e3cb31847ee143d173a0ead989b25282e1bc9effb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002851", "prompt": "Compute: -1065 / (-8358 - 7068)", "solution_steps": ["Subtract: -8358 - 7068 = -15426", "Divide: -1065 / (-15426) = 355/5142"], "final_answer": "355/5142", "answer_type": "rational", "kind": "expression", "math_text": "-1065 / (-8358 - 7068)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1065, \"b\": -8358, \"c\": 7068}", "seed": "2218708500320888072", "semantic_fingerprint": "sha256:9889309f74e6af52617f7a21aaeaeb8de45bbeb63cc58eabe0bce75827eca460", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002852", "prompt": "What is -92649 * 2003 + 76337?", "solution_steps": ["Multiply: -92649 * 2003 = -185575947", "Add: -185575947 + 76337 = -185499610"], "final_answer": "-185499610", "answer_type": "integer", "kind": "expression", "math_text": "-92649 * 2003 + 76337", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -92649, \"b\": 2003, \"c\": 76337}", "seed": "14153276117473599763", "semantic_fingerprint": "sha256:8a282d27409a39e597dff0d15e049f14a8c7a521e257ec65fc560541880d6e8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002853", "prompt": "Solve for x: 23(x + 8026) = x", "solution_steps": ["Expand: 23x + 184598 = x", "Subtract x from both sides: 22x + 184598 = 0", "Subtract 184598 from both sides: 22x = -184598", "Divide both sides by 22: x = -92299/11"], "final_answer": "-92299/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 8026) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 8026}", "seed": "12261419039402322188", "semantic_fingerprint": "sha256:8a96e724b79a8a73c97794d08f1b244d6ae2faa245036e0dad1c04261723f854", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002854", "prompt": "What is -8134 + 16299 * (-4054)?", "solution_steps": ["Multiply: 16299 * (-4054) = -66076146", "Add: -8134 + (-66076146) = -66084280"], "final_answer": "-66084280", "answer_type": "integer", "kind": "expression", "math_text": "-8134 + 16299 * (-4054)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8134, \"b\": 16299, \"c\": -4054}", "seed": "12490929790707356687", "semantic_fingerprint": "sha256:04ee631cfb81476d30b579557ad9d0cbaff53f68211529ddcfd95ff0e81389c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002855", "prompt": "Compute: -4808 + (1042 + (2610 - 5380))", "solution_steps": ["Subtract: 2610 - 5380 = -2770", "Add: 1042 + (-2770) = -1728", "Add: -4808 + (-1728) = -6536"], "final_answer": "-6536", "answer_type": "integer", "kind": "expression", "math_text": "-4808 + (1042 + (2610 - 5380))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4808, \"b\": 1042, \"c\": 2610, \"d\": 5380}", "seed": "13890980494469997687", "semantic_fingerprint": "sha256:34b8463170cf2b238dcf541f5f302d736b036812c7f80159f8250513b0426170", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002856", "prompt": "Find x: -30(x - 8509) = -32(x - 8390) - 12946", "solution_steps": ["Expand: -30x + 255270 = -32(x - 8390) - 12946", "Expand: -30x + 255270 = -32x + 268480 - 12946", "Combine constants: -30x + 255270 = -32x + 255534", "Add 32x to both sides: 2x + 255270 = 255534", "Subtract 255270 from both sides: 2x = 264", "Divide both sides by 2: x = 132"], "final_answer": "132", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30(x - 8509) = -32(x - 8390) - 12946", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 8509, \"c\": -32, \"d\": 8390, \"f\": -12946, \"x\": 132}", "seed": "12622106958657789742", "semantic_fingerprint": "sha256:57f7a4a7f9fd2e8e1da4cbc1adff24024a9a5bc1397c5005f862756f21559c2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002857", "prompt": "Compute: 36475 / (2277 - 5765)", "solution_steps": ["Subtract: 2277 - 5765 = -3488", "Divide: 36475 / (-3488) = -36475/3488"], "final_answer": "-36475/3488", "answer_type": "rational", "kind": "expression", "math_text": "36475 / (2277 - 5765)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36475, \"b\": 2277, \"c\": 5765}", "seed": "3872770356499872723", "semantic_fingerprint": "sha256:a8f836fe19593b014d54e415d5b0308718273b298ec66636aa9c293c884e3122", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002858", "prompt": "Calculate: (-6518 * 19826 + (-4654)) / (57460 + 7012)", "solution_steps": ["Multiply: -6518 * 19826 = -129225868", "Add: -129225868 + (-4654) = -129230522", "Add: 57460 + 7012 = 64472", "Divide: -129230522 / 64472 = -64615261/32236"], "final_answer": "-64615261/32236", "answer_type": "rational", "kind": "expression", "math_text": "(-6518 * 19826 + (-4654)) / (57460 + 7012)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6518, \"b\": 19826, \"c\": -4654, \"d\": 57460, \"e\": 7012}", "seed": "10480858831521500209", "semantic_fingerprint": "sha256:83a22040bb6d9d5353226fe262db5b40e5a45d04d50e3acc9b79e3cb0549d584", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002859", "prompt": "Compute: -66919 - 6920", "solution_steps": ["Subtract: -66919 - 6920 = -73839"], "final_answer": "-73839", "answer_type": "integer", "kind": "expression", "math_text": "-66919 - 6920", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -66919, \"b\": 6920}", "seed": "9623970903295379206", "semantic_fingerprint": "sha256:9e370b09f1a602ab3e41ffd79f101f03a1cdcf3f4b1c4a2ae703909331f533b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002860", "prompt": "Calculate: 8675 - 2422", "solution_steps": ["Subtract: 8675 - 2422 = 6253"], "final_answer": "6253", "answer_type": "integer", "kind": "expression", "math_text": "8675 - 2422", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8675, \"b\": 2422}", "seed": "5057410811846658044", "semantic_fingerprint": "sha256:d6c5c35f306d7c4ede2fe9a849102cc0b1477d499d8dbf4ae14e36fbe4cc6a3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002861", "prompt": "Calculate: (-23925 - 2497) / (-5186)", "solution_steps": ["Subtract: -23925 - 2497 = -26422", "Divide: -26422 / (-5186) = 13211/2593"], "final_answer": "13211/2593", "answer_type": "rational", "kind": "expression", "math_text": "(-23925 - 2497) / (-5186)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23925, \"b\": 2497, \"c\": -5186}", "seed": "12186005563568980017", "semantic_fingerprint": "sha256:55560376c5fe60435dce7c0a805500b46a61e9272babdf4f2f5fd77a096e2765", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002862", "prompt": "Compute: (4104 + (-30025)) / 9568 - (-81271) - (94894 + (-98945))", "solution_steps": ["Add: 4104 + (-30025) = -25921", "Divide: -25921 / 9568 = -1127/416", "Subtract: -1127/416 - (-81271) = 33807609/416", "Add: 94894 + (-98945) = -4051", "Subtract: 33807609/416 - (-4051) = 35492825/416"], "final_answer": "35492825/416", "answer_type": "rational", "kind": "expression", "math_text": "(4104 + (-30025)) / 9568 - (-81271) - (94894 + (-98945))", "variable": null, "family": "expression_5op", "shape": "(- (- (/ (+ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4104, \"b\": -30025, \"c\": 9568, \"d\": -81271, \"e\": 94894, \"f\": -98945}", "seed": "2070803384893958462", "semantic_fingerprint": "sha256:e82c6d89010fde58bd6955e6161afb7242354033db33c9972a3d5d9cff490f1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002863", "prompt": "What is -86360 + 98253?", "solution_steps": ["Add: -86360 + 98253 = 11893"], "final_answer": "11893", "answer_type": "integer", "kind": "expression", "math_text": "-86360 + 98253", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86360, \"b\": 98253}", "seed": "8815595591380906303", "semantic_fingerprint": "sha256:fdf2d8f66737930962aeedbda69fb103ea849780733beb3894927a563cbcd42c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002864", "prompt": "Calculate: 70693 - 2184 - (-50941)", "solution_steps": ["Subtract: 70693 - 2184 = 68509", "Subtract: 68509 - (-50941) = 119450"], "final_answer": "119450", "answer_type": "integer", "kind": "expression", "math_text": "70693 - 2184 - (-50941)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70693, \"b\": 2184, \"c\": -50941}", "seed": "11085643069802701862", "semantic_fingerprint": "sha256:ab5972e7e701b1dd97d789b78f2584a419daaa3f11dfe1652ecb554d23fddd9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002865", "prompt": "Calculate: 65338 - (24170 - 9383) * (-5579 + (-7506))", "solution_steps": ["Subtract: 24170 - 9383 = 14787", "Add: -5579 + (-7506) = -13085", "Multiply: 14787 * (-13085) = -193487895", "Subtract: 65338 - (-193487895) = 193553233"], "final_answer": "193553233", "answer_type": "integer", "kind": "expression", "math_text": "65338 - (24170 - 9383) * (-5579 + (-7506))", "variable": null, "family": "expression_4op", "shape": "(- n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 65338, \"b\": 24170, \"c\": 9383, \"d\": -5579, \"e\": -7506}", "seed": "8553088385580687861", "semantic_fingerprint": "sha256:5704bcfdd3f37112eb3059b6d9f9ac75aa971acf6b70782960375f97c2cd9e94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002866", "prompt": "Evaluate: -31485 * (-9681 * (-2870))", "solution_steps": ["Multiply: -9681 * (-2870) = 27784470", "Multiply: -31485 * 27784470 = -874794037950"], "final_answer": "-874794037950", "answer_type": "integer", "kind": "expression", "math_text": "-31485 * (-9681 * (-2870))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31485, \"b\": -9681, \"c\": -2870}", "seed": "14562018000615051732", "semantic_fingerprint": "sha256:c7086e76f69117765fa5fdf3d4122cb7045b011250783102576e87f3993393c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002867", "prompt": "Solve the equation 33x = 39x for x.", "solution_steps": ["Subtract 39x from both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x = 39x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 39}", "seed": "9741638707249562907", "semantic_fingerprint": "sha256:e832f486c82465a4fcb3be6c7d339a8a3a82c30a670d8d1ccd5cd1d9c5ab0528", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002868", "prompt": "Calculate: -8248 - (-8118) * (-5322)", "solution_steps": ["Multiply: -8118 * (-5322) = 43203996", "Subtract: -8248 - 43203996 = -43212244"], "final_answer": "-43212244", "answer_type": "integer", "kind": "expression", "math_text": "-8248 - (-8118) * (-5322)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8248, \"b\": -8118, \"c\": -5322}", "seed": "9487121490580176171", "semantic_fingerprint": "sha256:e92b899e31b805516bb6f2358f7a4f63528b08e6045b9cc0052ef11dfee024d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002869", "prompt": "Calculate: -2501 * 6727 / 40832", "solution_steps": ["Multiply: -2501 * 6727 = -16824227", "Divide: -16824227 / 40832 = -16824227/40832"], "final_answer": "-16824227/40832", "answer_type": "rational", "kind": "expression", "math_text": "-2501 * 6727 / 40832", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2501, \"b\": 6727, \"c\": 40832}", "seed": "2763846155967688936", "semantic_fingerprint": "sha256:01c809775c29b323128182e9c5c1008b8cc967672f5dae4655c4330c2c65e3d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002870", "prompt": "Compute: 8596 - (-3273 + (-4032)) + (-97863 - (-17426) + (-8823))", "solution_steps": ["Add: -3273 + (-4032) = -7305", "Subtract: 8596 - (-7305) = 15901", "Subtract: -97863 - (-17426) = -80437", "Add: -80437 + (-8823) = -89260", "Add: 15901 + (-89260) = -73359"], "final_answer": "-73359", "answer_type": "integer", "kind": "expression", "math_text": "8596 - (-3273 + (-4032)) + (-97863 - (-17426) + (-8823))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8596, \"b\": -3273, \"c\": -4032, \"d\": -97863, \"e\": -17426, \"f\": -8823}", "seed": "16454457603798038990", "semantic_fingerprint": "sha256:016dffb18b0653fd8eb86bf1a9908241564806580a953b2989e1fe668aac258c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002871", "prompt": "Find x: 26x - 9114 = -36x", "solution_steps": ["Add 36x to both sides: 62x - 9114 = 0", "Add 9114 to both sides: 62x = 9114", "Divide both sides by 62: x = 147"], "final_answer": "147", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x - 9114 = -36x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": -36, \"d\": -9114, \"x\": 147}", "seed": "1675891495752613456", "semantic_fingerprint": "sha256:2fc7a4d0448af2733ea015f047190381564ac849a43c1690936b2acc3cea0985", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002872", "prompt": "Calculate: (-51797 + 2829 - 92507) / 9402", "solution_steps": ["Add: -51797 + 2829 = -48968", "Subtract: -48968 - 92507 = -141475", "Divide: -141475 / 9402 = -141475/9402"], "final_answer": "-141475/9402", "answer_type": "rational", "kind": "expression", "math_text": "(-51797 + 2829 - 92507) / 9402", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -51797, \"b\": 2829, \"c\": 92507, \"d\": 9402}", "seed": "12736843775535373433", "semantic_fingerprint": "sha256:425529fbd63c4b26ebb1ed616cbb9b05f4308523d70a3cfe033ff55db1cc5a27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002873", "prompt": "What is -31752 + (-30789) - (-2646) / (-9089)?", "solution_steps": ["Add: -31752 + (-30789) = -62541", "Divide: -2646 / (-9089) = 2646/9089", "Subtract: -62541 - 2646/9089 = -568437795/9089"], "final_answer": "-568437795/9089", "answer_type": "rational", "kind": "expression", "math_text": "-31752 + (-30789) - (-2646) / (-9089)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31752, \"b\": -30789, \"c\": -2646, \"d\": -9089}", "seed": "1620166337465443232", "semantic_fingerprint": "sha256:d429a7bd9c5e57b043725cbe30e012bfa7fe791529fd19d9d94fee0283777f14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002874", "prompt": "What is 9188 / (6028 + 1391)?", "solution_steps": ["Add: 6028 + 1391 = 7419", "Divide: 9188 / 7419 = 9188/7419"], "final_answer": "9188/7419", "answer_type": "rational", "kind": "expression", "math_text": "9188 / (6028 + 1391)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9188, \"b\": 6028, \"c\": 1391}", "seed": "6315185064598513118", "semantic_fingerprint": "sha256:81bf103c8f7d2a7985d77b5a11b374d2dc7c285cb3ac688f94662c69c3330a1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002875", "prompt": "Solve the equation 32(x - 8643) = -39(x + 7237) for x.", "solution_steps": ["Expand: 32x - 276576 = -39(x + 7237)", "Expand: 32x - 276576 = -39x - 282243", "Add 39x to both sides: 71x - 276576 = -282243", "Add 276576 to both sides: 71x = -5667", "Divide both sides by 71: x = -5667/71"], "final_answer": "-5667/71", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 8643) = -39(x + 7237)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 8643, \"c\": -39, \"d\": 7237}", "seed": "12647078413256601842", "semantic_fingerprint": "sha256:0ab7823333307cde01426bc22875bbb460df94665c9d78615bf591113cb36c85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002876", "prompt": "Evaluate: 4938 - (-87545 - 7377) * 7411", "solution_steps": ["Subtract: -87545 - 7377 = -94922", "Multiply: -94922 * 7411 = -703466942", "Subtract: 4938 - (-703466942) = 703471880"], "final_answer": "703471880", "answer_type": "integer", "kind": "expression", "math_text": "4938 - (-87545 - 7377) * 7411", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4938, \"b\": -87545, \"c\": 7377, \"d\": 7411}", "seed": "16607643552735444713", "semantic_fingerprint": "sha256:7338f09c3305ae73ec911ed12deddefd2ead6ea9ab602291adc97b5a892d73cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002877", "prompt": "What value of x satisfies -39(x + 2862) - 8370 = x?", "solution_steps": ["Expand: -39x - 111618 - 8370 = x", "Combine constants: -39x - 119988 = x", "Subtract x from both sides: -40x - 119988 = 0", "Add 119988 to both sides: -40x = 119988", "Divide both sides by -40: x = -29997/10"], "final_answer": "-29997/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x + 2862) - 8370 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 2862, \"c\": 8370}", "seed": "2237016406733584464", "semantic_fingerprint": "sha256:5469136eb96d1bf67a9cc7881281f45d090327247fcc1dff4c5a8ff4a7ac6f7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002878", "prompt": "Calculate: -8870 - (-48949)", "solution_steps": ["Subtract: -8870 - (-48949) = 40079"], "final_answer": "40079", "answer_type": "integer", "kind": "expression", "math_text": "-8870 - (-48949)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8870, \"b\": -48949}", "seed": "5766702631280421735", "semantic_fingerprint": "sha256:cc1c4e3d22d4031190756395fffd5f051ac76cec7785b03d732be82149731e58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002879", "prompt": "What is 2689 + (-16481)?", "solution_steps": ["Add: 2689 + (-16481) = -13792"], "final_answer": "-13792", "answer_type": "integer", "kind": "expression", "math_text": "2689 + (-16481)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2689, \"b\": -16481}", "seed": "10052204456251842524", "semantic_fingerprint": "sha256:0ad5e53e105ae4d943a875abc03ba5ca1fba213ed08c30d14a4566c92e1f5b98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002880", "prompt": "Calculate: -93806 * (-67936)", "solution_steps": ["Multiply: -93806 * (-67936) = 6372804416"], "final_answer": "6372804416", "answer_type": "integer", "kind": "expression", "math_text": "-93806 * (-67936)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -93806, \"b\": -67936}", "seed": "12663441928538601102", "semantic_fingerprint": "sha256:994efa14b19c197526a05f9114caeb68e87390fa1f1213dae1041c6a32433837", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002881", "prompt": "Compute: (1531 - (-7765)) * (19113 / 6588) - (-55214) * (-24533)", "solution_steps": ["Subtract: 1531 - (-7765) = 9296", "Divide: 19113 / 6588 = 6371/2196", "Multiply: 9296 * (6371/2196) = 14806204/549", "Multiply: -55214 * (-24533) = 1354565062", "Subtract: 14806204/549 - 1354565062 = -743641412834/549"], "final_answer": "-743641412834/549", "answer_type": "rational", "kind": "expression", "math_text": "(1531 - (-7765)) * (19113 / 6588) - (-55214) * (-24533)", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) (/ n n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1531, \"b\": -7765, \"c\": 19113, \"d\": 6588, \"e\": -55214, \"f\": -24533}", "seed": "14446058760768268791", "semantic_fingerprint": "sha256:74f879b2c472731a41e2651544b40322a2e14718acec1699319a4a3f960bdcaa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002882", "prompt": "Compute: -6188 * 2565", "solution_steps": ["Multiply: -6188 * 2565 = -15872220"], "final_answer": "-15872220", "answer_type": "integer", "kind": "expression", "math_text": "-6188 * 2565", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6188, \"b\": 2565}", "seed": "17646867098493351751", "semantic_fingerprint": "sha256:6ff375911cc7d385f01bb909368697bf6c876521b5eec84f79736f625cdbfbd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002883", "prompt": "Evaluate: -1996 / 97907 + 2491 + 11135", "solution_steps": ["Divide: -1996 / 97907 = -1996/97907", "Add: -1996/97907 + 2491 = 243884341/97907", "Add: 243884341/97907 + 11135 = 1334078786/97907"], "final_answer": "1334078786/97907", "answer_type": "rational", "kind": "expression", "math_text": "-1996 / 97907 + 2491 + 11135", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1996, \"b\": 97907, \"c\": 2491, \"d\": 11135}", "seed": "17745654119398691641", "semantic_fingerprint": "sha256:54951ae61ba2eb9780a0f8099e45ed6f930ba426790237fb6dd81231690cff61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002884", "prompt": "Compute: -59255 * 5750", "solution_steps": ["Multiply: -59255 * 5750 = -340716250"], "final_answer": "-340716250", "answer_type": "integer", "kind": "expression", "math_text": "-59255 * 5750", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -59255, \"b\": 5750}", "seed": "3190617256444616385", "semantic_fingerprint": "sha256:cb003d7249e45600886897158d777114dc45d643ce82f6d6515fc6a83bfe2a03", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002885", "prompt": "Solve for x: x = 32x - 3689", "solution_steps": ["Subtract 32x from both sides: -31x = -3689", "Divide both sides by -31: x = 119"], "final_answer": "119", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 32x - 3689", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": -3689, \"x\": 119}", "seed": "10865391500223459668", "semantic_fingerprint": "sha256:c91018b6bf45be7af7242dfc042842d0b60ea2d2299ffeeda3ffc66d406984bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002886", "prompt": "Compute: -5086 + 90908 / (-8425)", "solution_steps": ["Divide: 90908 / (-8425) = -90908/8425", "Add: -5086 + (-90908/8425) = -42940458/8425"], "final_answer": "-42940458/8425", "answer_type": "rational", "kind": "expression", "math_text": "-5086 + 90908 / (-8425)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5086, \"b\": 90908, \"c\": -8425}", "seed": "15081115991260682434", "semantic_fingerprint": "sha256:17a270daabd17e0e171497c67c22d1ed54583f8ab306cfb65b3414fa3b6d009a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002887", "prompt": "Compute: 25611 + (-63834)", "solution_steps": ["Add: 25611 + (-63834) = -38223"], "final_answer": "-38223", "answer_type": "integer", "kind": "expression", "math_text": "25611 + (-63834)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 25611, \"b\": -63834}", "seed": "2454385847831920092", "semantic_fingerprint": "sha256:2c4cb00bb1f8ffced50554da0dd71288db4b651a153f0d328278189f7fec5852", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002888", "prompt": "Calculate: 8912 * (2338 / 4093) - (-67594)", "solution_steps": ["Divide: 2338 / 4093 = 2338/4093", "Multiply: 8912 * (2338/4093) = 20836256/4093", "Subtract: 20836256/4093 - (-67594) = 297498498/4093"], "final_answer": "297498498/4093", "answer_type": "rational", "kind": "expression", "math_text": "8912 * (2338 / 4093) - (-67594)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8912, \"b\": 2338, \"c\": 4093, \"d\": -67594}", "seed": "1100301777822869546", "semantic_fingerprint": "sha256:aeffabeea2627cc4bd386bb0b98f3afc0023e7628b12fd7199a1444cdfd08acf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002889", "prompt": "Calculate: (-8166 - 7217 * (-1446)) * (4991 / (-79395 + 40799))", "solution_steps": ["Multiply: 7217 * (-1446) = -10435782", "Subtract: -8166 - (-10435782) = 10427616", "Add: -79395 + 40799 = -38596", "Divide: 4991 / (-38596) = -4991/38596", "Multiply: 10427616 * (-4991/38596) = -13011057864/9649"], "final_answer": "-13011057864/9649", "answer_type": "rational", "kind": "expression", "math_text": "(-8166 - 7217 * (-1446)) * (4991 / (-79395 + 40799))", "variable": null, "family": "expression_5op", "shape": "(* (- n (* n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8166, \"b\": 7217, \"c\": -1446, \"d\": 4991, \"e\": -79395, \"f\": 40799}", "seed": "3892485878424640672", "semantic_fingerprint": "sha256:b353e43c7a2cac19a8a0a032f24817a07b81e8488b5d1d1b9347fab349bd4313", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002890", "prompt": "What is -7776 / (-6329 + (-1508 - (-96124))) * 6064?", "solution_steps": ["Subtract: -1508 - (-96124) = 94616", "Add: -6329 + 94616 = 88287", "Divide: -7776 / 88287 = -2592/29429", "Multiply: (-2592/29429) * 6064 = -15717888/29429"], "final_answer": "-15717888/29429", "answer_type": "rational", "kind": "expression", "math_text": "-7776 / (-6329 + (-1508 - (-96124))) * 6064", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7776, \"b\": -6329, \"c\": -1508, \"d\": -96124, \"e\": 6064}", "seed": "12880425321331394329", "semantic_fingerprint": "sha256:14c9cec32954acdb8e858343ce20b32365d7b83b6312a27a270b22ff6ceedb3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002891", "prompt": "Calculate: -96577 * (7271 / 3367) - (-58836)", "solution_steps": ["Divide: 7271 / 3367 = 7271/3367", "Multiply: -96577 * (7271/3367) = -54016259/259", "Subtract: -54016259/259 - (-58836) = -38777735/259"], "final_answer": "-38777735/259", "answer_type": "rational", "kind": "expression", "math_text": "-96577 * (7271 / 3367) - (-58836)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -96577, \"b\": 7271, \"c\": 3367, \"d\": -58836}", "seed": "16657182175746639337", "semantic_fingerprint": "sha256:17f115d32fc04b1d07e7a14ce3209e9765a82a42a05639b2bb2234b1368ac6f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002892", "prompt": "Evaluate: 3795 + (-5773) / (-91139)", "solution_steps": ["Divide: -5773 / (-91139) = 5773/91139", "Add: 3795 + 5773/91139 = 345878278/91139"], "final_answer": "345878278/91139", "answer_type": "rational", "kind": "expression", "math_text": "3795 + (-5773) / (-91139)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3795, \"b\": -5773, \"c\": -91139}", "seed": "17884491132879208208", "semantic_fingerprint": "sha256:1636a2995287168865d344bf6b7c8fdd56d7ab729b1c97cbeb36f3e2d8c46f28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002893", "prompt": "Solve for x: -28(x + 2551) + 9352 = 38(x - 1619) + 37969", "solution_steps": ["Expand: -28x - 71428 + 9352 = 38(x - 1619) + 37969", "Expand: -28x - 71428 + 9352 = 38x - 61522 + 37969", "Combine constants: -28x - 62076 = 38x - 61522 + 37969", "Combine constants: -28x - 62076 = 38x - 23553", "Subtract 38x from both sides: -66x - 62076 = -23553", "Add 62076 to both sides: -66x = 38523", "Divide both sides by -66: x = -12841/22"], "final_answer": "-12841/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-28(x + 2551) + 9352 = 38(x - 1619) + 37969", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 2551, \"c\": 9352, \"d\": 38, \"e\": 1619, \"f\": 37969}", "seed": "10803863050485778289", "semantic_fingerprint": "sha256:669e55a229fec4a2a79efaf7b1b4513b347c3d7828fba5b0031369f099dd88db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002894", "prompt": "What is -5711 / (24890 - 62156) - (-2304)?", "solution_steps": ["Subtract: 24890 - 62156 = -37266", "Divide: -5711 / (-37266) = 5711/37266", "Subtract: 5711/37266 - (-2304) = 85866575/37266"], "final_answer": "85866575/37266", "answer_type": "rational", "kind": "expression", "math_text": "-5711 / (24890 - 62156) - (-2304)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5711, \"b\": 24890, \"c\": 62156, \"d\": -2304}", "seed": "10519538809668399997", "semantic_fingerprint": "sha256:b0b900145ae8dc7b1c7c563f6a012e5fbf5ed7016d8c484bf4a740ef33bd9424", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002895", "prompt": "Calculate: (7180 + 4803) / 7281", "solution_steps": ["Add: 7180 + 4803 = 11983", "Divide: 11983 / 7281 = 11983/7281"], "final_answer": "11983/7281", "answer_type": "rational", "kind": "expression", "math_text": "(7180 + 4803) / 7281", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7180, \"b\": 4803, \"c\": 7281}", "seed": "1106697673349444249", "semantic_fingerprint": "sha256:c370f6374da8bf8346f9f5aec21034d6758a91d4ff5d30f01893c92970111220", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002896", "prompt": "Solve the equation 30x = 19x for x.", "solution_steps": ["Subtract 19x from both sides: 11x = 0", "Divide both sides by 11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x = 19x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 19}", "seed": "16819120877602616722", "semantic_fingerprint": "sha256:6bc7224b13827275145630c6e091b47fd3c0e0087b08dcb35b59d03abd9d1cb0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002897", "prompt": "Solve the equation 24x = x - 3648 for x.", "solution_steps": ["Subtract x from both sides: 23x = -3648", "Divide both sides by 23: x = -3648/23"], "final_answer": "-3648/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x = x - 3648", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 3648}", "seed": "5428987553270795438", "semantic_fingerprint": "sha256:2b8f410d1d7ab4ef7baee9f0eeacf0c1a2f0a46cfccc78b8827a44ce8524fbdc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002898", "prompt": "Evaluate: -3872 + 2265 / (-9065)", "solution_steps": ["Divide: 2265 / (-9065) = -453/1813", "Add: -3872 + (-453/1813) = -7020389/1813"], "final_answer": "-7020389/1813", "answer_type": "rational", "kind": "expression", "math_text": "-3872 + 2265 / (-9065)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3872, \"b\": 2265, \"c\": -9065}", "seed": "7431455444151935299", "semantic_fingerprint": "sha256:ca4b13a9d26a669cd26103f6b75066d6a5861cac9c95d20da74a6f5a84f01f68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002899", "prompt": "Compute: -6743 * (-79769)", "solution_steps": ["Multiply: -6743 * (-79769) = 537882367"], "final_answer": "537882367", "answer_type": "integer", "kind": "expression", "math_text": "-6743 * (-79769)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6743, \"b\": -79769}", "seed": "5718368462663200551", "semantic_fingerprint": "sha256:2f54cd994eee639f0334955645f1db522bd981e7f9c62c0f694c2de7a3b70de1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002900", "prompt": "What value of x satisfies 35(x + 7689) + 1598 = 36x + 9672?", "solution_steps": ["Expand: 35x + 269115 + 1598 = 36x + 9672", "Combine constants: 35x + 270713 = 36x + 9672", "Subtract 36x from both sides: -x + 270713 = 9672", "Subtract 270713 from both sides: -x = -261041", "Divide both sides by -1: x = 261041"], "final_answer": "261041", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x + 7689) + 1598 = 36x + 9672", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7689, \"c\": 1598, \"d\": 36, \"e\": 9672}", "seed": "15307524312194716747", "semantic_fingerprint": "sha256:2e3ffa9e1bb282a1eebf04addf284da39861d82359bb46626f78d6f2729aa26e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002901", "prompt": "What value of x satisfies 37x - 2409 = 20(x - 3223) + 59246?", "solution_steps": ["Expand: 37x - 2409 = 20x - 64460 + 59246", "Combine constants: 37x - 2409 = 20x - 5214", "Subtract 20x from both sides: 17x - 2409 = -5214", "Add 2409 to both sides: 17x = -2805", "Divide both sides by 17: x = -165"], "final_answer": "-165", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x - 2409 = 20(x - 3223) + 59246", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 2409, \"c\": 20, \"d\": 3223, \"f\": 59246, \"x\": -165}", "seed": "7601418911991890690", "semantic_fingerprint": "sha256:38e292e8266ccc95799fe3a1f2616cfd070d23b76a1576c98447792428171b6a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002902", "prompt": "Evaluate: -6802 - (-2361) + (-59852) + (-6609)", "solution_steps": ["Subtract: -6802 - (-2361) = -4441", "Add: -4441 + (-59852) = -64293", "Add: -64293 + (-6609) = -70902"], "final_answer": "-70902", "answer_type": "integer", "kind": "expression", "math_text": "-6802 - (-2361) + (-59852) + (-6609)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6802, \"b\": -2361, \"c\": -59852, \"d\": -6609}", "seed": "9097373107424105469", "semantic_fingerprint": "sha256:d78025fbf27618489fd4a1327153b882b02666fb332d646b8167aecf83429808", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002903", "prompt": "What value of x satisfies 24(x + 8017) + 5718 = 22x - 7105?", "solution_steps": ["Expand: 24x + 192408 + 5718 = 22x - 7105", "Combine constants: 24x + 198126 = 22x - 7105", "Subtract 22x from both sides: 2x + 198126 = -7105", "Subtract 198126 from both sides: 2x = -205231", "Divide both sides by 2: x = -205231/2"], "final_answer": "-205231/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 8017) + 5718 = 22x - 7105", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 8017, \"c\": 5718, \"d\": 22, \"e\": 7105}", "seed": "9224706330673582798", "semantic_fingerprint": "sha256:1d489f13e23dd7279770e164f264afc0bda78d7ed84648f0c82b91516bfc2a65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002904", "prompt": "Calculate: 8086 + 64806", "solution_steps": ["Add: 8086 + 64806 = 72892"], "final_answer": "72892", "answer_type": "integer", "kind": "expression", "math_text": "8086 + 64806", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8086, \"b\": 64806}", "seed": "17065142682757590033", "semantic_fingerprint": "sha256:3d9aba407c46f9e124051030e44a8a2f5056148907a36cd5818f85c971d50d09", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002905", "prompt": "Calculate: -3200 - (8690 - (-8140)) - 87958", "solution_steps": ["Subtract: 8690 - (-8140) = 16830", "Subtract: -3200 - 16830 = -20030", "Subtract: -20030 - 87958 = -107988"], "final_answer": "-107988", "answer_type": "integer", "kind": "expression", "math_text": "-3200 - (8690 - (-8140)) - 87958", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3200, \"b\": 8690, \"c\": -8140, \"d\": 87958}", "seed": "3443991616663521160", "semantic_fingerprint": "sha256:f7f6ab2cc1efa26fa7f0e4f864e960ab53e3187a194e78e57b65fb602cd80d32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002906", "prompt": "What is -5391 + (-3806 * 35081 - (-23253) * (-91550))?", "solution_steps": ["Multiply: -3806 * 35081 = -133518286", "Multiply: -23253 * (-91550) = 2128812150", "Subtract: -133518286 - 2128812150 = -2262330436", "Add: -5391 + (-2262330436) = -2262335827"], "final_answer": "-2262335827", "answer_type": "integer", "kind": "expression", "math_text": "-5391 + (-3806 * 35081 - (-23253) * (-91550))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5391, \"b\": -3806, \"c\": 35081, \"d\": -23253, \"e\": -91550}", "seed": "3105321900413008120", "semantic_fingerprint": "sha256:d33e8c2647c8b98c2128e3ce2526966bb7bf2dd179bf2b2ea705520f33f17d87", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002907", "prompt": "Evaluate: 5555 * (-8078)", "solution_steps": ["Multiply: 5555 * (-8078) = -44873290"], "final_answer": "-44873290", "answer_type": "integer", "kind": "expression", "math_text": "5555 * (-8078)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5555, \"b\": -8078}", "seed": "331600471524286735", "semantic_fingerprint": "sha256:c195faafb9df69bc8df6709f48d5b1dd0d2b2ec06427364919104260d1d3eff8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002908", "prompt": "Evaluate: 3105 + 4663", "solution_steps": ["Add: 3105 + 4663 = 7768"], "final_answer": "7768", "answer_type": "integer", "kind": "expression", "math_text": "3105 + 4663", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3105, \"b\": 4663}", "seed": "4007701821938200324", "semantic_fingerprint": "sha256:8b11cb04ed077593381b50c7e4d5395a95a9ac13aaf30ab0971eb40e5148e314", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002909", "prompt": "Solve for x: x + 20027 = -32x + 16628", "solution_steps": ["Add 32x to both sides: 33x + 20027 = 16628", "Subtract 20027 from both sides: 33x = -3399", "Divide both sides by 33: x = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 20027 = -32x + 16628", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20027, \"b\": -32, \"d\": 16628, \"x\": -103}", "seed": "14752146467346116288", "semantic_fingerprint": "sha256:baa8120762086dd6a2581b77d5356bd4b7c9022f2859a6c0ac5f75c57029f21d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002910", "prompt": "Solve the equation x - 6148 = 16(x - 6128) for x.", "solution_steps": ["Expand: x - 6148 = 16x - 98048", "Subtract 16x from both sides: -15x - 6148 = -98048", "Add 6148 to both sides: -15x = -91900", "Divide both sides by -15: x = 18380/3"], "final_answer": "18380/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6148 = 16(x - 6128)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6148, \"b\": 16, \"c\": 6128}", "seed": "15139155389737728126", "semantic_fingerprint": "sha256:2b6b0e968c629fa15971d8778519c279a0702db3e69c33e22e2f0577a7ca33d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002911", "prompt": "Solve for x: -29x - 4189 = 32x + 6974", "solution_steps": ["Subtract 32x from both sides: -61x - 4189 = 6974", "Add 4189 to both sides: -61x = 11163", "Divide both sides by -61: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x - 4189 = 32x + 6974", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 4189, \"c\": 32, \"e\": 6974, \"x\": -183}", "seed": "3939297227422596172", "semantic_fingerprint": "sha256:ec17cefec108fd6e21e6b4876d7c1789415cdbaca5d9360a61a23924264db92e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002912", "prompt": "Evaluate: -12787 - (-1142 - 26461) / (5657 / 63721)", "solution_steps": ["Subtract: -1142 - 26461 = -27603", "Divide: 5657 / 63721 = 5657/63721", "Divide: -27603 / (5657/63721) = -1758890763/5657", "Subtract: -12787 - (-1758890763/5657) = 1686554704/5657"], "final_answer": "1686554704/5657", "answer_type": "rational", "kind": "expression", "math_text": "-12787 - (-1142 - 26461) / (5657 / 63721)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -12787, \"b\": -1142, \"c\": 26461, \"d\": 5657, \"e\": 63721}", "seed": "4588517182429070593", "semantic_fingerprint": "sha256:771ca3366a0a7912ac182586847f0173f5f81218852225b9de56a8d2d4ef6443", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002913", "prompt": "Calculate: 2604 * (-2450) * (83846 + (-70696 - (-5504)))", "solution_steps": ["Multiply: 2604 * (-2450) = -6379800", "Subtract: -70696 - (-5504) = -65192", "Add: 83846 + (-65192) = 18654", "Multiply: -6379800 * 18654 = -119008789200"], "final_answer": "-119008789200", "answer_type": "integer", "kind": "expression", "math_text": "2604 * (-2450) * (83846 + (-70696 - (-5504)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2604, \"b\": -2450, \"c\": 83846, \"d\": -70696, \"e\": -5504}", "seed": "14509774619853261548", "semantic_fingerprint": "sha256:d0f5cab0bc0d39eaa021a3ff388360a4e364b647c2466baa42d4ed0bb3fdb6a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002914", "prompt": "Evaluate: (-3267 + (-78691 - 36617)) / 1672 * (-51991)", "solution_steps": ["Subtract: -78691 - 36617 = -115308", "Add: -3267 + (-115308) = -118575", "Divide: -118575 / 1672 = -118575/1672", "Multiply: (-118575/1672) * (-51991) = 6164832825/1672"], "final_answer": "6164832825/1672", "answer_type": "rational", "kind": "expression", "math_text": "(-3267 + (-78691 - 36617)) / 1672 * (-51991)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3267, \"b\": -78691, \"c\": 36617, \"d\": 1672, \"e\": -51991}", "seed": "8860447019478238018", "semantic_fingerprint": "sha256:3eda9c882c1f43d1648a9abdc85a34a9d379836999d327a94c8b67f13b3a1d8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002915", "prompt": "Compute: 14147 - (54441 + (-52233))", "solution_steps": ["Add: 54441 + (-52233) = 2208", "Subtract: 14147 - 2208 = 11939"], "final_answer": "11939", "answer_type": "integer", "kind": "expression", "math_text": "14147 - (54441 + (-52233))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14147, \"b\": 54441, \"c\": -52233}", "seed": "3618198905969481354", "semantic_fingerprint": "sha256:0caa72ae02470d923f5405cadc6a2c9791e8c0ad6699847ae204c8398931fa1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002916", "prompt": "What value of x satisfies x + 4307 = -31x?", "solution_steps": ["Add 31x to both sides: 32x + 4307 = 0", "Subtract 4307 from both sides: 32x = -4307", "Divide both sides by 32: x = -4307/32"], "final_answer": "-4307/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4307 = -31x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4307, \"b\": -31}", "seed": "9423151794200778124", "semantic_fingerprint": "sha256:ec8e7599f4844710ab1b1fe13ac194600c3078b284713273c1ec3f1fa28eb813", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002917", "prompt": "Calculate: -5903 - 17960", "solution_steps": ["Subtract: -5903 - 17960 = -23863"], "final_answer": "-23863", "answer_type": "integer", "kind": "expression", "math_text": "-5903 - 17960", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5903, \"b\": 17960}", "seed": "16162215745138418023", "semantic_fingerprint": "sha256:006a804df3e1f5824080a15881906e1a094b6437b4c56462573595737cdd6a9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002918", "prompt": "What is 78333 + (-6774 - 3040 - (-7237))?", "solution_steps": ["Subtract: -6774 - 3040 = -9814", "Subtract: -9814 - (-7237) = -2577", "Add: 78333 + (-2577) = 75756"], "final_answer": "75756", "answer_type": "integer", "kind": "expression", "math_text": "78333 + (-6774 - 3040 - (-7237))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78333, \"b\": -6774, \"c\": 3040, \"d\": -7237}", "seed": "5688949500662065596", "semantic_fingerprint": "sha256:b878a1686ec929a2b973013d4021b87c2d20e0269f7ddccee28455ecd70b26b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002919", "prompt": "Evaluate: 46589 / (-5685)", "solution_steps": ["Divide: 46589 / (-5685) = -46589/5685"], "final_answer": "-46589/5685", "answer_type": "rational", "kind": "expression", "math_text": "46589 / (-5685)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46589, \"b\": -5685}", "seed": "5982502640912299659", "semantic_fingerprint": "sha256:a6cbb036858540e5cb6fe8046b63ded7476349ad5cffcc05c6286647fbcc5a9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002920", "prompt": "Evaluate: (-6482 + (-1443)) / (-42351 - (-4364))", "solution_steps": ["Add: -6482 + (-1443) = -7925", "Subtract: -42351 - (-4364) = -37987", "Divide: -7925 / (-37987) = 7925/37987"], "final_answer": "7925/37987", "answer_type": "rational", "kind": "expression", "math_text": "(-6482 + (-1443)) / (-42351 - (-4364))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6482, \"b\": -1443, \"c\": -42351, \"d\": -4364}", "seed": "13488539174954983057", "semantic_fingerprint": "sha256:5c84638cc32159c64c58c51135d1eb66d021dda385ed1f9cc19add08402b2f3a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002921", "prompt": "What is -7564 - (64236 - 1439) - 6518?", "solution_steps": ["Subtract: 64236 - 1439 = 62797", "Subtract: -7564 - 62797 = -70361", "Subtract: -70361 - 6518 = -76879"], "final_answer": "-76879", "answer_type": "integer", "kind": "expression", "math_text": "-7564 - (64236 - 1439) - 6518", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7564, \"b\": 64236, \"c\": 1439, \"d\": 6518}", "seed": "15439066943969132347", "semantic_fingerprint": "sha256:c8fcafd154a3ddc005991a5aac9febdca4d829183b16c8db6296a40da841f7f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002922", "prompt": "Solve the equation x = -17x for x.", "solution_steps": ["Add 17x to both sides: 18x = 0", "Divide both sides by 18: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -17x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17}", "seed": "5579908291041434613", "semantic_fingerprint": "sha256:35538eb57406f53eb90372fb16dd022ee7d6bd33a17eb8246a9a5f846476353a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002923", "prompt": "Solve the equation 20(x - 91500) = x for x.", "solution_steps": ["Expand: 20x - 1830000 = x", "Subtract x from both sides: 19x - 1830000 = 0", "Add 1830000 to both sides: 19x = 1830000", "Divide both sides by 19: x = 1830000/19"], "final_answer": "1830000/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 91500) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 91500}", "seed": "5830292784173566128", "semantic_fingerprint": "sha256:c2f3826908e4c16ec96f8a5526523461477c00374ee452434ba57957c2d4ce30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002924", "prompt": "What value of x satisfies 25(x + 4405) + 9102 = -21(x - 1943) + 2421?", "solution_steps": ["Expand: 25x + 110125 + 9102 = -21(x - 1943) + 2421", "Expand: 25x + 110125 + 9102 = -21x + 40803 + 2421", "Combine constants: 25x + 119227 = -21x + 40803 + 2421", "Combine constants: 25x + 119227 = -21x + 43224", "Add 21x to both sides: 46x + 119227 = 43224", "Subtract 119227 from both sides: 46x = -76003", "Divide both sides by 46: x = -76003/46"], "final_answer": "-76003/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 4405) + 9102 = -21(x - 1943) + 2421", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 4405, \"c\": 9102, \"d\": -21, \"e\": 1943, \"f\": 2421}", "seed": "10673995603614657079", "semantic_fingerprint": "sha256:41f5d402d9f57043c42f50005f54fcb3c08e3d145a7bbb5d4552f06bce8633c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002925", "prompt": "What is (1823 + (-7915)) / (9305 - (-5562)) - 49672?", "solution_steps": ["Add: 1823 + (-7915) = -6092", "Subtract: 9305 - (-5562) = 14867", "Divide: -6092 / 14867 = -6092/14867", "Subtract: -6092/14867 - 49672 = -738479716/14867"], "final_answer": "-738479716/14867", "answer_type": "rational", "kind": "expression", "math_text": "(1823 + (-7915)) / (9305 - (-5562)) - 49672", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1823, \"b\": -7915, \"c\": 9305, \"d\": -5562, \"e\": 49672}", "seed": "11498166807427700902", "semantic_fingerprint": "sha256:49584f438720370fe7d97932b7f348aee7e114f61da46c31cc21a4b8acee5007", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002926", "prompt": "Compute: 3445 / 6525", "solution_steps": ["Divide: 3445 / 6525 = 689/1305"], "final_answer": "689/1305", "answer_type": "rational", "kind": "expression", "math_text": "3445 / 6525", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3445, \"b\": 6525}", "seed": "1124871369359433995", "semantic_fingerprint": "sha256:6806a2a89cff68f43811ee7fbe2c0216bda5d58c64aac294a7e4d36807d00b0f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002927", "prompt": "Compute: 2604 / 3097", "solution_steps": ["Divide: 2604 / 3097 = 2604/3097"], "final_answer": "2604/3097", "answer_type": "rational", "kind": "expression", "math_text": "2604 / 3097", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2604, \"b\": 3097}", "seed": "1744269995772167289", "semantic_fingerprint": "sha256:769b31a6b785d5f317e3b9ec25d55aff01ecc0d14575faac8ced6f85702276ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002928", "prompt": "Solve the equation -19(x - 4869) = -26(x - 4963) - 35176 for x.", "solution_steps": ["Expand: -19x + 92511 = -26(x - 4963) - 35176", "Expand: -19x + 92511 = -26x + 129038 - 35176", "Combine constants: -19x + 92511 = -26x + 93862", "Add 26x to both sides: 7x + 92511 = 93862", "Subtract 92511 from both sides: 7x = 1351", "Divide both sides by 7: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x - 4869) = -26(x - 4963) - 35176", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 4869, \"c\": -26, \"d\": 4963, \"f\": -35176, \"x\": 193}", "seed": "8885617183315218299", "semantic_fingerprint": "sha256:5f32da59ee68890bf39fa550f626ec73433be25f696437f4e762cabecba4e3cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002929", "prompt": "Evaluate: 3692 * (-9588) + 5487", "solution_steps": ["Multiply: 3692 * (-9588) = -35398896", "Add: -35398896 + 5487 = -35393409"], "final_answer": "-35393409", "answer_type": "integer", "kind": "expression", "math_text": "3692 * (-9588) + 5487", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3692, \"b\": -9588, \"c\": 5487}", "seed": "4267177732256373162", "semantic_fingerprint": "sha256:4501b093d8eb6e0ed20d0166684d624e16d0530d4277ecf4423e58dfd992b54b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002930", "prompt": "Solve the equation 14(x + 15696) = -17x - 6408 for x.", "solution_steps": ["Expand: 14x + 219744 = -17x - 6408", "Add 17x to both sides: 31x + 219744 = -6408", "Subtract 219744 from both sides: 31x = -226152", "Divide both sides by 31: x = -226152/31"], "final_answer": "-226152/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 15696) = -17x - 6408", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 15696, \"c\": -17, \"d\": 6408}", "seed": "12667034325392395897", "semantic_fingerprint": "sha256:66cb54a1b1937705641cee5c3e8c7228c4ed7ee38180ca678326a0e299a9a259", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002931", "prompt": "Calculate: (8961 - (-10008 - 95788)) * 5714", "solution_steps": ["Subtract: -10008 - 95788 = -105796", "Subtract: 8961 - (-105796) = 114757", "Multiply: 114757 * 5714 = 655721498"], "final_answer": "655721498", "answer_type": "integer", "kind": "expression", "math_text": "(8961 - (-10008 - 95788)) * 5714", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8961, \"b\": -10008, \"c\": 95788, \"d\": 5714}", "seed": "16412695865993971717", "semantic_fingerprint": "sha256:87a3eb15758ebd4ec5f4249dd536d4fb4ced6f70956614a8d3069e71bb27b490", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002932", "prompt": "Compute: -73882 / (-9424) + 5413 * (-17634)", "solution_steps": ["Divide: -73882 / (-9424) = 36941/4712", "Multiply: 5413 * (-17634) = -95452842", "Add: 36941/4712 + (-95452842) = -449773754563/4712"], "final_answer": "-449773754563/4712", "answer_type": "rational", "kind": "expression", "math_text": "-73882 / (-9424) + 5413 * (-17634)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -73882, \"b\": -9424, \"c\": 5413, \"d\": -17634}", "seed": "8360001194609117181", "semantic_fingerprint": "sha256:577c4f70334c641b7241ac33f2b6477580d5fd8a652ea5a5252b32c5d7937b54", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002933", "prompt": "Evaluate: -4537 * ((-93119 + (-77237)) / (-9727))", "solution_steps": ["Add: -93119 + (-77237) = -170356", "Divide: -170356 / (-9727) = 170356/9727", "Multiply: -4537 * (170356/9727) = -772905172/9727"], "final_answer": "-772905172/9727", "answer_type": "rational", "kind": "expression", "math_text": "-4537 * ((-93119 + (-77237)) / (-9727))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4537, \"b\": -93119, \"c\": -77237, \"d\": -9727}", "seed": "12596664461438499054", "semantic_fingerprint": "sha256:71ee51811bd5e042ba0c1ee4dad6dc47d512a214958bdbea7504fd4fc8462f4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002934", "prompt": "Find x: 16(x - 42875) = 18(x + 59084) + 3879", "solution_steps": ["Expand: 16x - 686000 = 18(x + 59084) + 3879", "Expand: 16x - 686000 = 18x + 1063512 + 3879", "Combine constants: 16x - 686000 = 18x + 1067391", "Subtract 18x from both sides: -2x - 686000 = 1067391", "Add 686000 to both sides: -2x = 1753391", "Divide both sides by -2: x = -1753391/2"], "final_answer": "-1753391/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 42875) = 18(x + 59084) + 3879", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 42875, \"c\": 18, \"d\": 59084, \"e\": 3879}", "seed": "11786705785312042241", "semantic_fingerprint": "sha256:96fc43d4f4f2856b6ccbc121dc3921839377fd652a334f8733c36e16c41d3166", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002935", "prompt": "Solve for x: 20x + 49579 = 40(x + 2518) + 5138", "solution_steps": ["Expand: 20x + 49579 = 40x + 100720 + 5138", "Combine constants: 20x + 49579 = 40x + 105858", "Subtract 40x from both sides: -20x + 49579 = 105858", "Subtract 49579 from both sides: -20x = 56279", "Divide both sides by -20: x = -56279/20"], "final_answer": "-56279/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x + 49579 = 40(x + 2518) + 5138", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 49579, \"c\": 40, \"d\": 2518, \"e\": 5138}", "seed": "15514444687303625672", "semantic_fingerprint": "sha256:d392c9ce5cb229409d46f01e4a10ee44f626fc41b34beb113c47ac92bc482f88", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002936", "prompt": "Calculate: 5465 * (-4350) + (-34148 + 24006)", "solution_steps": ["Multiply: 5465 * (-4350) = -23772750", "Add: -34148 + 24006 = -10142", "Add: -23772750 + (-10142) = -23782892"], "final_answer": "-23782892", "answer_type": "integer", "kind": "expression", "math_text": "5465 * (-4350) + (-34148 + 24006)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5465, \"b\": -4350, \"c\": -34148, \"d\": 24006}", "seed": "4621194731569955561", "semantic_fingerprint": "sha256:c07ea47a238d298fd153c79ba67cdca31658eff092705ccb45d0cdec8499b8b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002937", "prompt": "What value of x satisfies x = 24x + 8765?", "solution_steps": ["Subtract 24x from both sides: -23x = 8765", "Divide both sides by -23: x = -8765/23"], "final_answer": "-8765/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 24x + 8765", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 8765}", "seed": "10850987820642995090", "semantic_fingerprint": "sha256:182a89aea395871d13cf47d51373cf24a6028f679f326aa73ab9ba7e395d006b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002938", "prompt": "Evaluate: 35028 - (-9158) + 3090", "solution_steps": ["Subtract: 35028 - (-9158) = 44186", "Add: 44186 + 3090 = 47276"], "final_answer": "47276", "answer_type": "integer", "kind": "expression", "math_text": "35028 - (-9158) + 3090", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35028, \"b\": -9158, \"c\": 3090}", "seed": "6542863872622513862", "semantic_fingerprint": "sha256:5a037e7abb394285497088c21d16e7e0a587c5f6a0b0c6ebfa2c0e7775b5f721", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002939", "prompt": "Evaluate: 11925 + (-3139 + 98914)", "solution_steps": ["Add: -3139 + 98914 = 95775", "Add: 11925 + 95775 = 107700"], "final_answer": "107700", "answer_type": "integer", "kind": "expression", "math_text": "11925 + (-3139 + 98914)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 11925, \"b\": -3139, \"c\": 98914}", "seed": "10084985476605987084", "semantic_fingerprint": "sha256:836961e28f2e911c42373e938830f0471126e7a7307b677673de8f5fee8ba706", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002940", "prompt": "Solve the equation 28x - 2753 = x - 7910 for x.", "solution_steps": ["Subtract x from both sides: 27x - 2753 = -7910", "Add 2753 to both sides: 27x = -5157", "Divide both sides by 27: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x - 2753 = x - 7910", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 2753, \"d\": -7910, \"x\": -191}", "seed": "7391236281934155719", "semantic_fingerprint": "sha256:dcea9b19b22ffcd1a9b8b490c0f1990c4ec36ae04c8106071c095b7bac3129fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002941", "prompt": "Evaluate: -8894 + 2187 + ((-3377 - (-6732)) * 7907 - 56931)", "solution_steps": ["Add: -8894 + 2187 = -6707", "Subtract: -3377 - (-6732) = 3355", "Multiply: 3355 * 7907 = 26527985", "Subtract: 26527985 - 56931 = 26471054", "Add: -6707 + 26471054 = 26464347"], "final_answer": "26464347", "answer_type": "integer", "kind": "expression", "math_text": "-8894 + 2187 + ((-3377 - (-6732)) * 7907 - 56931)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (* (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8894, \"b\": 2187, \"c\": -3377, \"d\": -6732, \"e\": 7907, \"f\": 56931}", "seed": "12558731518086332808", "semantic_fingerprint": "sha256:2a7f76ad771db69e41505158326db3e043459262b7eaa7fc8cb1785ed3af16dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002942", "prompt": "Solve the equation 30x + 1624 = x for x.", "solution_steps": ["Subtract x from both sides: 29x + 1624 = 0", "Subtract 1624 from both sides: 29x = -1624", "Divide both sides by 29: x = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 1624 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": 1624, \"x\": -56}", "seed": "3917146988328849451", "semantic_fingerprint": "sha256:7b2fca10edfb3759af45a8a3d988a3e33817eab661283557cca59085aacaa030", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002943", "prompt": "Calculate: (40374 + (-3944)) * (86594 / (-3695))", "solution_steps": ["Add: 40374 + (-3944) = 36430", "Divide: 86594 / (-3695) = -86594/3695", "Multiply: 36430 * (-86594/3695) = -630923884/739"], "final_answer": "-630923884/739", "answer_type": "rational", "kind": "expression", "math_text": "(40374 + (-3944)) * (86594 / (-3695))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40374, \"b\": -3944, \"c\": 86594, \"d\": -3695}", "seed": "4304266125894170971", "semantic_fingerprint": "sha256:3801388375fa4fe5fa95be1e5f863bac15aa5d588de60658e8e944a77ad693d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002944", "prompt": "Find x: -14x + 2289 = -33(x + 2164)", "solution_steps": ["Expand: -14x + 2289 = -33x - 71412", "Add 33x to both sides: 19x + 2289 = -71412", "Subtract 2289 from both sides: 19x = -73701", "Divide both sides by 19: x = -3879"], "final_answer": "-3879", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14x + 2289 = -33(x + 2164)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 2289, \"c\": -33, \"d\": 2164}", "seed": "16042852915407912166", "semantic_fingerprint": "sha256:fb2a93a5efc6ac851796e719d0907d4103ba49dd5c901c81ae1e90fd166ccaca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002945", "prompt": "Find x: x + 44756 = 27(x + 1466)", "solution_steps": ["Expand: x + 44756 = 27x + 39582", "Subtract 27x from both sides: -26x + 44756 = 39582", "Subtract 44756 from both sides: -26x = -5174", "Divide both sides by -26: x = 199"], "final_answer": "199", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 44756 = 27(x + 1466)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 1466, \"d\": 44756, \"x\": 199}", "seed": "6489890325933069493", "semantic_fingerprint": "sha256:89bf21999969c8fff152c89759aef7e04eb9a1bcebcab15de4a01b2fe7fbd06b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002946", "prompt": "Calculate: 45014 + (3044 - (-6912))", "solution_steps": ["Subtract: 3044 - (-6912) = 9956", "Add: 45014 + 9956 = 54970"], "final_answer": "54970", "answer_type": "integer", "kind": "expression", "math_text": "45014 + (3044 - (-6912))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45014, \"b\": 3044, \"c\": -6912}", "seed": "11412156343143098104", "semantic_fingerprint": "sha256:97b649d0cdbf54658f62ebe1e48c8aa617ea84db3c0ea22f8a292478f86efc93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002947", "prompt": "Evaluate: ((6687 + 5645) * (-1530) + (2066 - (-23074))) * 2137", "solution_steps": ["Add: 6687 + 5645 = 12332", "Multiply: 12332 * (-1530) = -18867960", "Subtract: 2066 - (-23074) = 25140", "Add: -18867960 + 25140 = -18842820", "Multiply: -18842820 * 2137 = -40267106340"], "final_answer": "-40267106340", "answer_type": "integer", "kind": "expression", "math_text": "((6687 + 5645) * (-1530) + (2066 - (-23074))) * 2137", "variable": null, "family": "expression_5op", "shape": "(* (+ (* (+ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6687, \"b\": 5645, \"c\": -1530, \"d\": 2066, \"e\": -23074, \"f\": 2137}", "seed": "4647173429325658669", "semantic_fingerprint": "sha256:10c3a44d4aacb29543b9b30b69122658c5313d3070eb4b865f8a9ff3e811378f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002948", "prompt": "What is -4112 * (-30361 + 3430)?", "solution_steps": ["Add: -30361 + 3430 = -26931", "Multiply: -4112 * (-26931) = 110740272"], "final_answer": "110740272", "answer_type": "integer", "kind": "expression", "math_text": "-4112 * (-30361 + 3430)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4112, \"b\": -30361, \"c\": 3430}", "seed": "8636925369778481635", "semantic_fingerprint": "sha256:a488071641a4d1a2ce80587e5655929b16eb95e8af5ec07eb8da148204ac8e1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002949", "prompt": "Calculate: 8765 / (-10824) + (5124 - 4171)", "solution_steps": ["Divide: 8765 / (-10824) = -8765/10824", "Subtract: 5124 - 4171 = 953", "Add: -8765/10824 + 953 = 10306507/10824"], "final_answer": "10306507/10824", "answer_type": "rational", "kind": "expression", "math_text": "8765 / (-10824) + (5124 - 4171)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8765, \"b\": -10824, \"c\": 5124, \"d\": 4171}", "seed": "1765353809547002159", "semantic_fingerprint": "sha256:913ae85085b41322c89d4f18f6cd726b8a5eca8ed85e36a06e1dc1340fa77bda", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002950", "prompt": "Solve for x: 31x + 1877 = x + 4037", "solution_steps": ["Subtract x from both sides: 30x + 1877 = 4037", "Subtract 1877 from both sides: 30x = 2160", "Divide both sides by 30: x = 72"], "final_answer": "72", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 1877 = x + 4037", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 1877, \"d\": 4037, \"x\": 72}", "seed": "10881979523664426772", "semantic_fingerprint": "sha256:8a114abc22966da2310d6fb821ce9173cc32005335b6983189ee1065479fa1ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002951", "prompt": "Evaluate: -91875 / (1506 - 58194)", "solution_steps": ["Subtract: 1506 - 58194 = -56688", "Divide: -91875 / (-56688) = 30625/18896"], "final_answer": "30625/18896", "answer_type": "rational", "kind": "expression", "math_text": "-91875 / (1506 - 58194)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91875, \"b\": 1506, \"c\": 58194}", "seed": "16432612333522535336", "semantic_fingerprint": "sha256:7ff9e481628c032532fcc38efbc4c53b8d668af3638137a2e49c7a569957e5d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002952", "prompt": "Evaluate: -64164 / (-7969) - 7143", "solution_steps": ["Divide: -64164 / (-7969) = 64164/7969", "Subtract: 64164/7969 - 7143 = -56858403/7969"], "final_answer": "-56858403/7969", "answer_type": "rational", "kind": "expression", "math_text": "-64164 / (-7969) - 7143", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64164, \"b\": -7969, \"c\": 7143}", "seed": "13108802278376397262", "semantic_fingerprint": "sha256:83eef8377cbd127231489adf7d746a4e64ef11db805da4c04ce267857554f81f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002953", "prompt": "Compute: 7899 / (-62092 + 71516)", "solution_steps": ["Add: -62092 + 71516 = 9424", "Divide: 7899 / 9424 = 7899/9424"], "final_answer": "7899/9424", "answer_type": "rational", "kind": "expression", "math_text": "7899 / (-62092 + 71516)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7899, \"b\": -62092, \"c\": 71516}", "seed": "6350247934470152052", "semantic_fingerprint": "sha256:8d10f710499a25e4f5d83db3dac5e2542bd277820830da462f1d94ba32606345", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002954", "prompt": "Find x: x - 42387 = 18(x - 2488)", "solution_steps": ["Expand: x - 42387 = 18x - 44784", "Subtract 18x from both sides: -17x - 42387 = -44784", "Add 42387 to both sides: -17x = -2397", "Divide both sides by -17: x = 141"], "final_answer": "141", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 42387 = 18(x - 2488)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2488, \"d\": -42387, \"x\": 141}", "seed": "18148015151649202437", "semantic_fingerprint": "sha256:87deab9d28d4e95c4598c283e2c99a070a8c7a87cc03fc9892081bb9db4bec14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002955", "prompt": "Solve for x: 40x = 26x", "solution_steps": ["Subtract 26x from both sides: 14x = 0", "Divide both sides by 14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = 26x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 26}", "seed": "2305087687971311044", "semantic_fingerprint": "sha256:3e7c9cad39cd0209d90357aed28d3bccab5a73bf14e882403c4324696d8af29a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002956", "prompt": "Compute: -5045 * 8739", "solution_steps": ["Multiply: -5045 * 8739 = -44088255"], "final_answer": "-44088255", "answer_type": "integer", "kind": "expression", "math_text": "-5045 * 8739", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5045, \"b\": 8739}", "seed": "7554799690952976942", "semantic_fingerprint": "sha256:3d28d4f70efe72417fe621b3b23eac08fe057a6c1a610aac44322e427f53a39b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002957", "prompt": "What value of x satisfies x = 29x + 5236?", "solution_steps": ["Subtract 29x from both sides: -28x = 5236", "Divide both sides by -28: x = -187"], "final_answer": "-187", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 29x + 5236", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 5236, \"x\": -187}", "seed": "2911991673040866919", "semantic_fingerprint": "sha256:a1e21b923dd4d87202d62b69e1c0d717c688a98f43b2d255ac7376be7d2b84cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002958", "prompt": "Evaluate: -6727 - (-1142 - 68201 - (-8782) * (-3503))", "solution_steps": ["Subtract: -1142 - 68201 = -69343", "Multiply: -8782 * (-3503) = 30763346", "Subtract: -69343 - 30763346 = -30832689", "Subtract: -6727 - (-30832689) = 30825962"], "final_answer": "30825962", "answer_type": "integer", "kind": "expression", "math_text": "-6727 - (-1142 - 68201 - (-8782) * (-3503))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6727, \"b\": -1142, \"c\": 68201, \"d\": -8782, \"e\": -3503}", "seed": "4754895761042574881", "semantic_fingerprint": "sha256:ca5ed3aa2a5f318acb99f714b22fcb4c70714276415222aa695dc99a3576ae95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002959", "prompt": "Calculate: (-3741 + 8216) * (-7990 + 1364 + (-6803))", "solution_steps": ["Add: -3741 + 8216 = 4475", "Add: -7990 + 1364 = -6626", "Add: -6626 + (-6803) = -13429", "Multiply: 4475 * (-13429) = -60094775"], "final_answer": "-60094775", "answer_type": "integer", "kind": "expression", "math_text": "(-3741 + 8216) * (-7990 + 1364 + (-6803))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3741, \"b\": 8216, \"c\": -7990, \"d\": 1364, \"e\": -6803}", "seed": "8767474789189472840", "semantic_fingerprint": "sha256:6d337270fd11059ce48064d00fbeaa3f94616f46c89dd414e25f21fa631933da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002960", "prompt": "Solve the equation x - 8133 = 7545 for x.", "solution_steps": ["Add 8133 to both sides: x = 15678"], "final_answer": "15678", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8133 = 7545", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8133, \"b\": 7545}", "seed": "1336415826152584906", "semantic_fingerprint": "sha256:4feafc93b8161e64e9a0594293a0e09f18b52b9782c93f1d754d388972146422", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002961", "prompt": "Solve for x: x + 64421 = 34(x - 8011) - 8842", "solution_steps": ["Expand: x + 64421 = 34x - 272374 - 8842", "Combine constants: x + 64421 = 34x - 281216", "Subtract 34x from both sides: -33x + 64421 = -281216", "Subtract 64421 from both sides: -33x = -345637", "Divide both sides by -33: x = 345637/33"], "final_answer": "345637/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 64421 = 34(x - 8011) - 8842", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 64421, \"b\": 34, \"c\": 8011, \"d\": 8842}", "seed": "711382813784468937", "semantic_fingerprint": "sha256:aafcb9f8538769b0b5846a4f5769a20398fb0d8eadc5473db62ceb5ec5e92124", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002962", "prompt": "What value of x satisfies x - 59377 = 34(x + 77932) - 3186?", "solution_steps": ["Expand: x - 59377 = 34x + 2649688 - 3186", "Combine constants: x - 59377 = 34x + 2646502", "Subtract 34x from both sides: -33x - 59377 = 2646502", "Add 59377 to both sides: -33x = 2705879", "Divide both sides by -33: x = -245989/3"], "final_answer": "-245989/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 59377 = 34(x + 77932) - 3186", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 59377, \"b\": 34, \"c\": 77932, \"d\": 3186}", "seed": "14278905185861638576", "semantic_fingerprint": "sha256:117d8b7d3776b3b57021843c9011ff7e78c5e2f851f4559a2806c0e458cc2044", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002963", "prompt": "Calculate: -74454 * (-8332)", "solution_steps": ["Multiply: -74454 * (-8332) = 620350728"], "final_answer": "620350728", "answer_type": "integer", "kind": "expression", "math_text": "-74454 * (-8332)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -74454, \"b\": -8332}", "seed": "12005510482933301796", "semantic_fingerprint": "sha256:b994a2fa33598679a453956b1c0a56167c7987c42781dc1767694c9b5fa79174", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002964", "prompt": "What value of x satisfies x = -37x + 3534?", "solution_steps": ["Add 37x to both sides: 38x = 3534", "Divide both sides by 38: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -37x + 3534", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37, \"c\": 3534, \"x\": 93}", "seed": "13168348338446249845", "semantic_fingerprint": "sha256:728c39288bf456931ef0f4a5c8b66fedd6b0bc6ebdc6e898d0ce6f0695fc2302", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002965", "prompt": "Calculate: -48993 + (-4936)", "solution_steps": ["Add: -48993 + (-4936) = -53929"], "final_answer": "-53929", "answer_type": "integer", "kind": "expression", "math_text": "-48993 + (-4936)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -48993, \"b\": -4936}", "seed": "11940102731498214406", "semantic_fingerprint": "sha256:0bac49b196eecc05e35d79fa8911a3391dd4be5d8c81e39f65fdc3910f495c82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002966", "prompt": "Calculate: 1102 / (-6779) - (-3569 + 56427 - (-52922) - 60842)", "solution_steps": ["Divide: 1102 / (-6779) = -1102/6779", "Add: -3569 + 56427 = 52858", "Subtract: 52858 - (-52922) = 105780", "Subtract: 105780 - 60842 = 44938", "Subtract: -1102/6779 - 44938 = -304635804/6779"], "final_answer": "-304635804/6779", "answer_type": "rational", "kind": "expression", "math_text": "1102 / (-6779) - (-3569 + 56427 - (-52922) - 60842)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (- (- (+ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1102, \"b\": -6779, \"c\": -3569, \"d\": 56427, \"e\": -52922, \"f\": 60842}", "seed": "11589047792815150622", "semantic_fingerprint": "sha256:7fb2501238e3ab4b47fe12d98b98c08aad9c433cf5dfccbb70caac7656f9a5a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002967", "prompt": "Solve the equation 30(x - 6278) - 7224 = -9381 for x.", "solution_steps": ["Expand: 30x - 188340 - 7224 = -9381", "Combine constants: 30x - 195564 = -9381", "Add 195564 to both sides: 30x = 186183", "Divide both sides by 30: x = 62061/10"], "final_answer": "62061/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 6278) - 7224 = -9381", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 6278, \"c\": 7224, \"d\": -9381}", "seed": "2875833342968266475", "semantic_fingerprint": "sha256:17720615e534235365270ff1d0d990116dd691246e8a1eca78f771ea15705842", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002968", "prompt": "Evaluate: 28799 * 74337", "solution_steps": ["Multiply: 28799 * 74337 = 2140831263"], "final_answer": "2140831263", "answer_type": "integer", "kind": "expression", "math_text": "28799 * 74337", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 28799, \"b\": 74337}", "seed": "8075782704407582459", "semantic_fingerprint": "sha256:407711bd02da9a1f35c423ccc6710b75b9bf4a30947996d5d349c2d440c3bbff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002969", "prompt": "Find x: x = 19(x + 5911)", "solution_steps": ["Expand: x = 19x + 112309", "Subtract 19x from both sides: -18x = 112309", "Divide both sides by -18: x = -112309/18"], "final_answer": "-112309/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 19(x + 5911)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 5911}", "seed": "8856392536933383597", "semantic_fingerprint": "sha256:c0ae6f94cc2ec9369f8ba4af0866df15488e37c2a7dcef1afa153862fffbb80d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002970", "prompt": "Compute: (8482 + (-93855) * 5959) / 86803", "solution_steps": ["Multiply: -93855 * 5959 = -559281945", "Add: 8482 + (-559281945) = -559273463", "Divide: -559273463 / 86803 = -559273463/86803"], "final_answer": "-559273463/86803", "answer_type": "rational", "kind": "expression", "math_text": "(8482 + (-93855) * 5959) / 86803", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8482, \"b\": -93855, \"c\": 5959, \"d\": 86803}", "seed": "8656277527323417675", "semantic_fingerprint": "sha256:ee113799fc8436df62108cbe17b041b1c0ededfc83ead3b630c749e07cda743c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002971", "prompt": "Evaluate: (2143 + (8851 + 6054)) / (-8664)", "solution_steps": ["Add: 8851 + 6054 = 14905", "Add: 2143 + 14905 = 17048", "Divide: 17048 / (-8664) = -2131/1083"], "final_answer": "-2131/1083", "answer_type": "rational", "kind": "expression", "math_text": "(2143 + (8851 + 6054)) / (-8664)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2143, \"b\": 8851, \"c\": 6054, \"d\": -8664}", "seed": "8005182635142506432", "semantic_fingerprint": "sha256:0df6ab0b39191c00349b3b1899f131c90f4b0eb0c66703bbe2078a52d83e8521", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002972", "prompt": "Solve the equation 13x + 8697 = 24(x - 1825) - 40231 for x.", "solution_steps": ["Expand: 13x + 8697 = 24x - 43800 - 40231", "Combine constants: 13x + 8697 = 24x - 84031", "Subtract 24x from both sides: -11x + 8697 = -84031", "Subtract 8697 from both sides: -11x = -92728", "Divide both sides by -11: x = 92728/11"], "final_answer": "92728/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x + 8697 = 24(x - 1825) - 40231", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 8697, \"c\": 24, \"d\": 1825, \"e\": 40231}", "seed": "7048915658153015903", "semantic_fingerprint": "sha256:a2a735b0df3e1ae696bfb355ff6ed57df4890d9daf88bf0f1cf84a0006533e79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002973", "prompt": "Compute: -9644 + (-98785)", "solution_steps": ["Add: -9644 + (-98785) = -108429"], "final_answer": "-108429", "answer_type": "integer", "kind": "expression", "math_text": "-9644 + (-98785)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9644, \"b\": -98785}", "seed": "8442185903236857270", "semantic_fingerprint": "sha256:90ac81904b4c325ae2c1dd88966af552db3c5b2659ec6eddd8eb1188c627e634", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002974", "prompt": "Compute: -65715 + (8944 - 41169 - (-7429))", "solution_steps": ["Subtract: 8944 - 41169 = -32225", "Subtract: -32225 - (-7429) = -24796", "Add: -65715 + (-24796) = -90511"], "final_answer": "-90511", "answer_type": "integer", "kind": "expression", "math_text": "-65715 + (8944 - 41169 - (-7429))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -65715, \"b\": 8944, \"c\": 41169, \"d\": -7429}", "seed": "8583466848783673634", "semantic_fingerprint": "sha256:5e20e24f4dce9f543f7f4aa9a6ad57a4e674fae55844604f16e14a01c05b3f5b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002975", "prompt": "Evaluate: -33645 * 6157", "solution_steps": ["Multiply: -33645 * 6157 = -207152265"], "final_answer": "-207152265", "answer_type": "integer", "kind": "expression", "math_text": "-33645 * 6157", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -33645, \"b\": 6157}", "seed": "8939297633809420217", "semantic_fingerprint": "sha256:6ef1cd76b63457d2cd9b4d581905bab57fdb81ad0f4730bdaf96d7e73d35636d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002976", "prompt": "What is -4204 * (-3882)?", "solution_steps": ["Multiply: -4204 * (-3882) = 16319928"], "final_answer": "16319928", "answer_type": "integer", "kind": "expression", "math_text": "-4204 * (-3882)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4204, \"b\": -3882}", "seed": "13548859328901983516", "semantic_fingerprint": "sha256:9cfbc97cc6c375b4736537f487a4da079fdf4b048ea399fe79fc6dea313420c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002977", "prompt": "What is -6220 - (-4167 + 28814)?", "solution_steps": ["Add: -4167 + 28814 = 24647", "Subtract: -6220 - 24647 = -30867"], "final_answer": "-30867", "answer_type": "integer", "kind": "expression", "math_text": "-6220 - (-4167 + 28814)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6220, \"b\": -4167, \"c\": 28814}", "seed": "16658533620593787595", "semantic_fingerprint": "sha256:7ee1e7a57c9aedac98f786cc431369bba8931a2f8be746a3f2e276a38a391a4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002978", "prompt": "Calculate: 1228 + 9866 / 2031", "solution_steps": ["Divide: 9866 / 2031 = 9866/2031", "Add: 1228 + 9866/2031 = 2503934/2031"], "final_answer": "2503934/2031", "answer_type": "rational", "kind": "expression", "math_text": "1228 + 9866 / 2031", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1228, \"b\": 9866, \"c\": 2031}", "seed": "502783736132360697", "semantic_fingerprint": "sha256:54b28434d58844d52ada35d2a2f93b16d4f05fc64ce3f5e2825806e08eddd9fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002979", "prompt": "Solve the equation 25x = 36x for x.", "solution_steps": ["Subtract 36x from both sides: -11x = 0", "Divide both sides by -11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x = 36x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 36}", "seed": "4740037253327507975", "semantic_fingerprint": "sha256:468db12185d021c9f2d31a2116ecef972497bfe785e2960bc6db69697fe421cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002980", "prompt": "What value of x satisfies -14(x - 6164) = 32x?", "solution_steps": ["Expand: -14x + 86296 = 32x", "Subtract 32x from both sides: -46x + 86296 = 0", "Subtract 86296 from both sides: -46x = -86296", "Divide both sides by -46: x = 1876"], "final_answer": "1876", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14(x - 6164) = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 6164, \"c\": 32}", "seed": "11195224895448575063", "semantic_fingerprint": "sha256:11563c56185e87a09ccaa48367d772e0798820c4a65834514c4a73a8ef383c5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002981", "prompt": "Evaluate: (-8361 + 9874 * (-51118)) / (49970 + 37655)", "solution_steps": ["Multiply: 9874 * (-51118) = -504739132", "Add: -8361 + (-504739132) = -504747493", "Add: 49970 + 37655 = 87625", "Divide: -504747493 / 87625 = -504747493/87625"], "final_answer": "-504747493/87625", "answer_type": "rational", "kind": "expression", "math_text": "(-8361 + 9874 * (-51118)) / (49970 + 37655)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8361, \"b\": 9874, \"c\": -51118, \"d\": 49970, \"e\": 37655}", "seed": "11279911425790260870", "semantic_fingerprint": "sha256:9d89653f1a1d5b1f17f3d98eed721daa4445aaa5eb0330529c4e3edcbfc3be78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002982", "prompt": "What is 63038 - (-40686 - (-2090 - 66863)) + 6725?", "solution_steps": ["Subtract: -2090 - 66863 = -68953", "Subtract: -40686 - (-68953) = 28267", "Subtract: 63038 - 28267 = 34771", "Add: 34771 + 6725 = 41496"], "final_answer": "41496", "answer_type": "integer", "kind": "expression", "math_text": "63038 - (-40686 - (-2090 - 66863)) + 6725", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 63038, \"b\": -40686, \"c\": -2090, \"d\": 66863, \"e\": 6725}", "seed": "8717177404743080725", "semantic_fingerprint": "sha256:d1db47c328491812ac07231e8e5159729109bd2d3d2b09367d7fb4ea7e65f10c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002983", "prompt": "Find x: 35(x - 8817) + 6156 = -36x", "solution_steps": ["Expand: 35x - 308595 + 6156 = -36x", "Combine constants: 35x - 302439 = -36x", "Add 36x to both sides: 71x - 302439 = 0", "Add 302439 to both sides: 71x = 302439", "Divide both sides by 71: x = 302439/71"], "final_answer": "302439/71", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x - 8817) + 6156 = -36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 8817, \"c\": 6156, \"d\": -36}", "seed": "14067417966518304094", "semantic_fingerprint": "sha256:7abf70dda1bf2a185094a4b9b4f833c2f305526cdb24e2615e727f60bee3303b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002984", "prompt": "Evaluate: 23002 / (-9080 / (-77134))", "solution_steps": ["Divide: -9080 / (-77134) = 4540/38567", "Divide: 23002 / (4540/38567) = 443559067/2270"], "final_answer": "443559067/2270", "answer_type": "rational", "kind": "expression", "math_text": "23002 / (-9080 / (-77134))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23002, \"b\": -9080, \"c\": -77134}", "seed": "10225512991277215078", "semantic_fingerprint": "sha256:d79e07727e1254e97c99d2f624948321d7389b68ae14e0f2eb61f48cc59e4e89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002985", "prompt": "Calculate: -4973 - (-2533)", "solution_steps": ["Subtract: -4973 - (-2533) = -2440"], "final_answer": "-2440", "answer_type": "integer", "kind": "expression", "math_text": "-4973 - (-2533)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4973, \"b\": -2533}", "seed": "13281570756336016522", "semantic_fingerprint": "sha256:d27ad8bd1d4659aa64368147339f0e08765f6c7ea8f8aa229c37421ef09655b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002986", "prompt": "Solve for x: -19(x + 5907) - 8234 = 20x - 81995", "solution_steps": ["Expand: -19x - 112233 - 8234 = 20x - 81995", "Combine constants: -19x - 120467 = 20x - 81995", "Subtract 20x from both sides: -39x - 120467 = -81995", "Add 120467 to both sides: -39x = 38472", "Divide both sides by -39: x = -12824/13"], "final_answer": "-12824/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 5907) - 8234 = 20x - 81995", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 5907, \"c\": 8234, \"d\": 20, \"e\": 81995}", "seed": "2793359106242238875", "semantic_fingerprint": "sha256:fc5638bb4a744a2c1ebfe6b7efbe61823dca2a0a793687032d7f33caf99529b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002987", "prompt": "What is -22871 / (-26920 - (-22720))?", "solution_steps": ["Subtract: -26920 - (-22720) = -4200", "Divide: -22871 / (-4200) = 22871/4200"], "final_answer": "22871/4200", "answer_type": "rational", "kind": "expression", "math_text": "-22871 / (-26920 - (-22720))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22871, \"b\": -26920, \"c\": -22720}", "seed": "13208946013923597520", "semantic_fingerprint": "sha256:c8256ac0ed76e26e9424d046945483aa2cbe5cd7b3983b33713d17164f4233e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002988", "prompt": "Find x: -15x + 24345 = 26970", "solution_steps": ["Subtract 24345 from both sides: -15x = 2625", "Divide both sides by -15: x = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15x + 24345 = 26970", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 24345, \"d\": 26970, \"x\": -175}", "seed": "17378861461923882305", "semantic_fingerprint": "sha256:b673cc908b439acd48ce539498a51275431828046a8451246ee9bac71c2a0574", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002989", "prompt": "Solve for x: 16(x + 38727) = 35(x + 3757) - 69325", "solution_steps": ["Expand: 16x + 619632 = 35(x + 3757) - 69325", "Expand: 16x + 619632 = 35x + 131495 - 69325", "Combine constants: 16x + 619632 = 35x + 62170", "Subtract 35x from both sides: -19x + 619632 = 62170", "Subtract 619632 from both sides: -19x = -557462", "Divide both sides by -19: x = 557462/19"], "final_answer": "557462/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 38727) = 35(x + 3757) - 69325", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 38727, \"c\": 35, \"d\": 3757, \"e\": 69325}", "seed": "453047533409270594", "semantic_fingerprint": "sha256:386ed3f47392d662c52d0b1b560a7107efb75891460b37b8f5db4de84597945e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002990", "prompt": "What is 75144 * (76569 + (-7382))?", "solution_steps": ["Add: 76569 + (-7382) = 69187", "Multiply: 75144 * 69187 = 5198987928"], "final_answer": "5198987928", "answer_type": "integer", "kind": "expression", "math_text": "75144 * (76569 + (-7382))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75144, \"b\": 76569, \"c\": -7382}", "seed": "2135305246909744130", "semantic_fingerprint": "sha256:e186544ee4969a53d07cfa392696207cb2a2c46dad03eff1d7dd4ad97173a07f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002991", "prompt": "Compute: (88172 + 2875) / 6801 - (-5269) + (8199 - 9747)", "solution_steps": ["Add: 88172 + 2875 = 91047", "Divide: 91047 / 6801 = 30349/2267", "Subtract: 30349/2267 - (-5269) = 11975172/2267", "Subtract: 8199 - 9747 = -1548", "Add: 11975172/2267 + (-1548) = 8465856/2267"], "final_answer": "8465856/2267", "answer_type": "rational", "kind": "expression", "math_text": "(88172 + 2875) / 6801 - (-5269) + (8199 - 9747)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 88172, \"b\": 2875, \"c\": 6801, \"d\": -5269, \"e\": 8199, \"f\": 9747}", "seed": "1677283060577289176", "semantic_fingerprint": "sha256:2bcf3177950b35f6547443f3698e4f5b514e12e72672563de46abc4f5167d897", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002992", "prompt": "Compute: -9802 / 2117", "solution_steps": ["Divide: -9802 / 2117 = -338/73"], "final_answer": "-338/73", "answer_type": "rational", "kind": "expression", "math_text": "-9802 / 2117", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9802, \"b\": 2117}", "seed": "3842297420892213634", "semantic_fingerprint": "sha256:39b7cf481b8a286abac2714277424a1149dcd4c9371b6604142cda04c8f0abdf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002993", "prompt": "Solve for x: 27(x + 89395) = -16(x - 19404)", "solution_steps": ["Expand: 27x + 2413665 = -16(x - 19404)", "Expand: 27x + 2413665 = -16x + 310464", "Add 16x to both sides: 43x + 2413665 = 310464", "Subtract 2413665 from both sides: 43x = -2103201", "Divide both sides by 43: x = -2103201/43"], "final_answer": "-2103201/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 89395) = -16(x - 19404)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 89395, \"c\": -16, \"d\": 19404}", "seed": "56949288210553923", "semantic_fingerprint": "sha256:8f8b3bfeb2164729f6e59f50e92bd2903b3e582887b95f82ca460460cd24fe09", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002994", "prompt": "Calculate: -4548 - (-21992) * 7693", "solution_steps": ["Multiply: -21992 * 7693 = -169184456", "Subtract: -4548 - (-169184456) = 169179908"], "final_answer": "169179908", "answer_type": "integer", "kind": "expression", "math_text": "-4548 - (-21992) * 7693", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4548, \"b\": -21992, \"c\": 7693}", "seed": "11238194161063425175", "semantic_fingerprint": "sha256:492950e639dde8506865afe702360bde20b541b740086721e9ba952f10842bce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002995", "prompt": "Solve for x: 21(x - 1792) - 21539 = -59969", "solution_steps": ["Expand: 21x - 37632 - 21539 = -59969", "Combine constants: 21x - 59171 = -59969", "Add 59171 to both sides: 21x = -798", "Divide both sides by 21: x = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 1792) - 21539 = -59969", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 1792, \"c\": 21539, \"e\": -59969, \"x\": -38}", "seed": "12064783941329248255", "semantic_fingerprint": "sha256:381c32ca327787161350d5c22c06952050f8e10290b308fe45dfb7ef6a29afa4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002996", "prompt": "Calculate: 6829 - (-6253) - (-6248 + (-1803))", "solution_steps": ["Subtract: 6829 - (-6253) = 13082", "Add: -6248 + (-1803) = -8051", "Subtract: 13082 - (-8051) = 21133"], "final_answer": "21133", "answer_type": "integer", "kind": "expression", "math_text": "6829 - (-6253) - (-6248 + (-1803))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6829, \"b\": -6253, \"c\": -6248, \"d\": -1803}", "seed": "10513037102326721999", "semantic_fingerprint": "sha256:d91fe6e952acfb0610aeccc05580811630d5d96b0fc77f364d0323f12b002fc9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002997", "prompt": "Compute: 79067 - (-8323) * 1421", "solution_steps": ["Multiply: -8323 * 1421 = -11826983", "Subtract: 79067 - (-11826983) = 11906050"], "final_answer": "11906050", "answer_type": "integer", "kind": "expression", "math_text": "79067 - (-8323) * 1421", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79067, \"b\": -8323, \"c\": 1421}", "seed": "13988830806687791457", "semantic_fingerprint": "sha256:eb6c51c213b6a67cdf964745b79a9cc14fa12bb9f6e221be0dbe9a6bb7fa2f4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002998", "prompt": "Find x: -34(x - 87303) - 8025 = 26(x + 7151) - 69243", "solution_steps": ["Expand: -34x + 2968302 - 8025 = 26(x + 7151) - 69243", "Expand: -34x + 2968302 - 8025 = 26x + 185926 - 69243", "Combine constants: -34x + 2960277 = 26x + 185926 - 69243", "Combine constants: -34x + 2960277 = 26x + 116683", "Subtract 26x from both sides: -60x + 2960277 = 116683", "Subtract 2960277 from both sides: -60x = -2843594", "Divide both sides by -60: x = 1421797/30"], "final_answer": "1421797/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x - 87303) - 8025 = 26(x + 7151) - 69243", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 87303, \"c\": 8025, \"d\": 26, \"e\": 7151, \"f\": 69243}", "seed": "13242711004455933372", "semantic_fingerprint": "sha256:d45e80884c125a6f1570f3f67e6de2b33f640ade52a89b4e4630d1a283feae71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00002999", "prompt": "Evaluate: 73335 + (39105 + 53581 / 6852)", "solution_steps": ["Divide: 53581 / 6852 = 53581/6852", "Add: 39105 + 53581/6852 = 268001041/6852", "Add: 73335 + 268001041/6852 = 770492461/6852"], "final_answer": "770492461/6852", "answer_type": "rational", "kind": "expression", "math_text": "73335 + (39105 + 53581 / 6852)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 73335, \"b\": 39105, \"c\": 53581, \"d\": 6852}", "seed": "12464840788147403352", "semantic_fingerprint": "sha256:850d02c14a7c0a49fbf407b0bcf62df7c1c50dc179cdf9c3e07841507012755b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003000", "prompt": "Solve the equation 37x + 38155 = -13(x - 3585) for x.", "solution_steps": ["Expand: 37x + 38155 = -13x + 46605", "Add 13x to both sides: 50x + 38155 = 46605", "Subtract 38155 from both sides: 50x = 8450", "Divide both sides by 50: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x + 38155 = -13(x - 3585)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": -13, \"c\": 3585, \"e\": 38155, \"x\": 169}", "seed": "6205182238112398070", "semantic_fingerprint": "sha256:044faf459d5e23c95b5f2a2894eccabe5c5d8f024ca6ff1e09209862d62d8358", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003001", "prompt": "Find x: x - 81092 = -29(x + 2698)", "solution_steps": ["Expand: x - 81092 = -29x - 78242", "Add 29x to both sides: 30x - 81092 = -78242", "Add 81092 to both sides: 30x = 2850", "Divide both sides by 30: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 81092 = -29(x + 2698)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 2698, \"d\": -81092, \"x\": 95}", "seed": "11423211260202464284", "semantic_fingerprint": "sha256:093c32cfd29668cee29b5d350d89b8d96a316f0a45d0c357cdb308a1162c1f4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003002", "prompt": "Calculate: 5295 - (-5264)", "solution_steps": ["Subtract: 5295 - (-5264) = 10559"], "final_answer": "10559", "answer_type": "integer", "kind": "expression", "math_text": "5295 - (-5264)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5295, \"b\": -5264}", "seed": "5943483256310425556", "semantic_fingerprint": "sha256:7c3c07fdd968209d5e04b865fc72cbc509c724207144dce4343de454b9d1b2c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003003", "prompt": "Calculate: 27542 / (-9517) + 7805", "solution_steps": ["Divide: 27542 / (-9517) = -27542/9517", "Add: -27542/9517 + 7805 = 74252643/9517"], "final_answer": "74252643/9517", "answer_type": "rational", "kind": "expression", "math_text": "27542 / (-9517) + 7805", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27542, \"b\": -9517, \"c\": 7805}", "seed": "4887590960833162248", "semantic_fingerprint": "sha256:e05855765038492786979058fb4db117d6b20daa6e6ef16deead278ba03e6342", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003004", "prompt": "Calculate: 84383 + (-5068) + (-39811)", "solution_steps": ["Add: 84383 + (-5068) = 79315", "Add: 79315 + (-39811) = 39504"], "final_answer": "39504", "answer_type": "integer", "kind": "expression", "math_text": "84383 + (-5068) + (-39811)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84383, \"b\": -5068, \"c\": -39811}", "seed": "15032533981858091364", "semantic_fingerprint": "sha256:b4ac3caa6ac8786ebb5edb98d8fef711c9e49a45b9ef254f2cdcc6880786de81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003005", "prompt": "Calculate: -8167 - (-6411 - (-6252)) + (-47519 - (-5476))", "solution_steps": ["Subtract: -6411 - (-6252) = -159", "Subtract: -8167 - (-159) = -8008", "Subtract: -47519 - (-5476) = -42043", "Add: -8008 + (-42043) = -50051"], "final_answer": "-50051", "answer_type": "integer", "kind": "expression", "math_text": "-8167 - (-6411 - (-6252)) + (-47519 - (-5476))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8167, \"b\": -6411, \"c\": -6252, \"d\": -47519, \"e\": -5476}", "seed": "7264470768670509501", "semantic_fingerprint": "sha256:69c9cd613d061b9720c24b8bd9ca678ca53d26b584f31298f0c9290e7bc661ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003006", "prompt": "Evaluate: (57174 - (-6397) - (-1987)) * (-58440 - (-7531))", "solution_steps": ["Subtract: 57174 - (-6397) = 63571", "Subtract: 63571 - (-1987) = 65558", "Subtract: -58440 - (-7531) = -50909", "Multiply: 65558 * (-50909) = -3337492222"], "final_answer": "-3337492222", "answer_type": "integer", "kind": "expression", "math_text": "(57174 - (-6397) - (-1987)) * (-58440 - (-7531))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 57174, \"b\": -6397, \"c\": -1987, \"d\": -58440, \"e\": -7531}", "seed": "9407664728603106072", "semantic_fingerprint": "sha256:5ef4e5be592b3e0ddf3db580973f28fff4c910d2d57dc3cc2ff5dab84e248638", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003007", "prompt": "Calculate: (5405 + (-71142 + 6042)) / (-7073)", "solution_steps": ["Add: -71142 + 6042 = -65100", "Add: 5405 + (-65100) = -59695", "Divide: -59695 / (-7073) = 59695/7073"], "final_answer": "59695/7073", "answer_type": "rational", "kind": "expression", "math_text": "(5405 + (-71142 + 6042)) / (-7073)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5405, \"b\": -71142, \"c\": 6042, \"d\": -7073}", "seed": "11839737008493574591", "semantic_fingerprint": "sha256:11611aaaed0f84402ceba895bb19f5fffe696b71197b0feda4a871dae7235a36", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003008", "prompt": "Compute: -5004 - 2461", "solution_steps": ["Subtract: -5004 - 2461 = -7465"], "final_answer": "-7465", "answer_type": "integer", "kind": "expression", "math_text": "-5004 - 2461", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5004, \"b\": 2461}", "seed": "209756007269004170", "semantic_fingerprint": "sha256:a8aa59dbdabfb272406853a66de777b409a57700fd5fabc6504f3f47c7a0c622", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003009", "prompt": "Evaluate: -59110 - (-9296) + 34781", "solution_steps": ["Subtract: -59110 - (-9296) = -49814", "Add: -49814 + 34781 = -15033"], "final_answer": "-15033", "answer_type": "integer", "kind": "expression", "math_text": "-59110 - (-9296) + 34781", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59110, \"b\": -9296, \"c\": 34781}", "seed": "1574410077731467078", "semantic_fingerprint": "sha256:8402b8b93744fea20c1f300b1b74f478827e9712ed9e8bc5213364aefa400951", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003010", "prompt": "Compute: 97592 - (-26581)", "solution_steps": ["Subtract: 97592 - (-26581) = 124173"], "final_answer": "124173", "answer_type": "integer", "kind": "expression", "math_text": "97592 - (-26581)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 97592, \"b\": -26581}", "seed": "2228682211329926649", "semantic_fingerprint": "sha256:4b1e2cbd7a806b50a2a045619ea1dd8a726285e0e5f19a1ccf8fd65344a2c0f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003011", "prompt": "Evaluate: -6742 - (-2897)", "solution_steps": ["Subtract: -6742 - (-2897) = -3845"], "final_answer": "-3845", "answer_type": "integer", "kind": "expression", "math_text": "-6742 - (-2897)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6742, \"b\": -2897}", "seed": "5363282576791735915", "semantic_fingerprint": "sha256:c3daaf2ee88c8046207960b97e18982ebe394ac99778a88c50636ea853c6a0a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003012", "prompt": "What is -42882 - (-4975) + 8670?", "solution_steps": ["Subtract: -42882 - (-4975) = -37907", "Add: -37907 + 8670 = -29237"], "final_answer": "-29237", "answer_type": "integer", "kind": "expression", "math_text": "-42882 - (-4975) + 8670", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -42882, \"b\": -4975, \"c\": 8670}", "seed": "624347674380979880", "semantic_fingerprint": "sha256:e597ab1514a14f31a55ed46e83da7779ba623eb5c36ee04baf42bc524cb232f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003013", "prompt": "Calculate: 4954 / (-9449 + (-91145)) + 8304", "solution_steps": ["Add: -9449 + (-91145) = -100594", "Divide: 4954 / (-100594) = -2477/50297", "Add: -2477/50297 + 8304 = 417663811/50297"], "final_answer": "417663811/50297", "answer_type": "rational", "kind": "expression", "math_text": "4954 / (-9449 + (-91145)) + 8304", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4954, \"b\": -9449, \"c\": -91145, \"d\": 8304}", "seed": "3567185552089298736", "semantic_fingerprint": "sha256:969fdbe408c42171b00b7c2c3fa0bb309abf261afeeaf2be1fbe60ef0a3eee36", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003014", "prompt": "What value of x satisfies -35(x + 6471) = 18x?", "solution_steps": ["Expand: -35x - 226485 = 18x", "Subtract 18x from both sides: -53x - 226485 = 0", "Add 226485 to both sides: -53x = 226485", "Divide both sides by -53: x = -226485/53"], "final_answer": "-226485/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x + 6471) = 18x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 6471, \"c\": 18}", "seed": "3910447871039989513", "semantic_fingerprint": "sha256:712d56a1456cfc0b063ec058004a10b379116a570d869812d035b4d39b588a8c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003015", "prompt": "Compute: -9402 * (-51056) - 91459 * (21372 + (-72754) + 2009)", "solution_steps": ["Multiply: -9402 * (-51056) = 480028512", "Add: 21372 + (-72754) = -51382", "Add: -51382 + 2009 = -49373", "Multiply: 91459 * (-49373) = -4515605207", "Subtract: 480028512 - (-4515605207) = 4995633719"], "final_answer": "4995633719", "answer_type": "integer", "kind": "expression", "math_text": "-9402 * (-51056) - 91459 * (21372 + (-72754) + 2009)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* n (+ (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9402, \"b\": -51056, \"c\": 91459, \"d\": 21372, \"e\": -72754, \"f\": 2009}", "seed": "15646778113744932691", "semantic_fingerprint": "sha256:974353af5b510715d9b3538d42ba15c66737d73137b24d7f0bd16f6f201d5c66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003016", "prompt": "What value of x satisfies -25x + 4810 = x?", "solution_steps": ["Subtract x from both sides: -26x + 4810 = 0", "Subtract 4810 from both sides: -26x = -4810", "Divide both sides by -26: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x + 4810 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"c\": 4810, \"x\": 185}", "seed": "12280298819453202071", "semantic_fingerprint": "sha256:68ad6033602d86166380ea4100d6f88121b0766f1b49321c70eebde7e703150f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003017", "prompt": "Solve for x: 19x + 5020 = x + 1888", "solution_steps": ["Subtract x from both sides: 18x + 5020 = 1888", "Subtract 5020 from both sides: 18x = -3132", "Divide both sides by 18: x = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 5020 = x + 1888", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 5020, \"d\": 1888, \"x\": -174}", "seed": "12724383235285240267", "semantic_fingerprint": "sha256:9ebb3f327c70eef495020e1e43e7ad7be8e36fb490c9047a60fd2c6bbb146b63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003018", "prompt": "Solve the equation -39x - 7691 = -5953 for x.", "solution_steps": ["Add 7691 to both sides: -39x = 1738", "Divide both sides by -39: x = -1738/39"], "final_answer": "-1738/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39x - 7691 = -5953", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 7691, \"c\": -5953}", "seed": "5734061488387830372", "semantic_fingerprint": "sha256:2b20cb722bf58e6c1327ef4df2fa6e616278269c2f24a6958289f2c362be7c69", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003019", "prompt": "What is 1244 * (-89163 * 1558)?", "solution_steps": ["Multiply: -89163 * 1558 = -138915954", "Multiply: 1244 * (-138915954) = -172811446776"], "final_answer": "-172811446776", "answer_type": "integer", "kind": "expression", "math_text": "1244 * (-89163 * 1558)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1244, \"b\": -89163, \"c\": 1558}", "seed": "18185687059098972977", "semantic_fingerprint": "sha256:b32f1942ad80e4064e69e36be2e1cc8ffe2486e3dde7e862af2492e56d1d8ff9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003020", "prompt": "What is -72489 - (-21201)?", "solution_steps": ["Subtract: -72489 - (-21201) = -51288"], "final_answer": "-51288", "answer_type": "integer", "kind": "expression", "math_text": "-72489 - (-21201)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -72489, \"b\": -21201}", "seed": "160304987139221421", "semantic_fingerprint": "sha256:9f060e900761a7c59768f87bf4fffc3743943d74c77965650d2e49bf32a57050", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003021", "prompt": "Calculate: 38341 - 2248 * 45124", "solution_steps": ["Multiply: 2248 * 45124 = 101438752", "Subtract: 38341 - 101438752 = -101400411"], "final_answer": "-101400411", "answer_type": "integer", "kind": "expression", "math_text": "38341 - 2248 * 45124", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38341, \"b\": 2248, \"c\": 45124}", "seed": "17129631420688674389", "semantic_fingerprint": "sha256:f5c4891f0b7f3f5ec4dcf0b36a0b1b0beb80b59619f21663d693de43b89cb993", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003022", "prompt": "What is (-8500 + (-7252)) * (-3858 - (-21534))?", "solution_steps": ["Add: -8500 + (-7252) = -15752", "Subtract: -3858 - (-21534) = 17676", "Multiply: -15752 * 17676 = -278432352"], "final_answer": "-278432352", "answer_type": "integer", "kind": "expression", "math_text": "(-8500 + (-7252)) * (-3858 - (-21534))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8500, \"b\": -7252, \"c\": -3858, \"d\": -21534}", "seed": "10419016835400076252", "semantic_fingerprint": "sha256:77dd55fd221f320b7c78bbe37ef8879c5537ee474ec3f887bdc79badc725c079", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003023", "prompt": "Compute: -8652 + (-8492)", "solution_steps": ["Add: -8652 + (-8492) = -17144"], "final_answer": "-17144", "answer_type": "integer", "kind": "expression", "math_text": "-8652 + (-8492)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8652, \"b\": -8492}", "seed": "4789499390013404434", "semantic_fingerprint": "sha256:f19a4af4d326b9ade8c2849dce340b94d11df93cf73e80a17cd2057c6bfdc88e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003024", "prompt": "Find x: x + 6723 = -26x - 7495", "solution_steps": ["Add 26x to both sides: 27x + 6723 = -7495", "Subtract 6723 from both sides: 27x = -14218", "Divide both sides by 27: x = -14218/27"], "final_answer": "-14218/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6723 = -26x - 7495", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6723, \"b\": -26, \"c\": 7495}", "seed": "878098579471120790", "semantic_fingerprint": "sha256:f37920315d9c6cd9cecd04fdb5ebf244f93e04c3eb7e18d70102850183820b8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003025", "prompt": "Evaluate: 1524 + (-31035) - 6736", "solution_steps": ["Add: 1524 + (-31035) = -29511", "Subtract: -29511 - 6736 = -36247"], "final_answer": "-36247", "answer_type": "integer", "kind": "expression", "math_text": "1524 + (-31035) - 6736", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1524, \"b\": -31035, \"c\": 6736}", "seed": "205409364448849748", "semantic_fingerprint": "sha256:8ca8d4eff11d274e3fdb15d55a7f19f80e357e8a398d9dc84f4b3cda947fa3a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003026", "prompt": "What value of x satisfies -38x + 9256 = x - 83829?", "solution_steps": ["Subtract x from both sides: -39x + 9256 = -83829", "Subtract 9256 from both sides: -39x = -93085", "Divide both sides by -39: x = 93085/39"], "final_answer": "93085/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38x + 9256 = x - 83829", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 9256, \"c\": 83829}", "seed": "8490716802451149989", "semantic_fingerprint": "sha256:9b4dcd9a21724b4650a15684ba2d21e78871dabd0992bd4ea25ad9c45c7a7982", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003027", "prompt": "Compute: 2789 - 69109", "solution_steps": ["Subtract: 2789 - 69109 = -66320"], "final_answer": "-66320", "answer_type": "integer", "kind": "expression", "math_text": "2789 - 69109", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2789, \"b\": 69109}", "seed": "11461114698044685197", "semantic_fingerprint": "sha256:e1880bad09721890c2d6661c20fabb8f45d938e0919e06237034b788951a1f4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003028", "prompt": "Find x: 34x + 4644 = -32x - 8160", "solution_steps": ["Add 32x to both sides: 66x + 4644 = -8160", "Subtract 4644 from both sides: 66x = -12804", "Divide both sides by 66: x = -194"], "final_answer": "-194", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x + 4644 = -32x - 8160", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 4644, \"c\": -32, \"e\": -8160, \"x\": -194}", "seed": "15171486650160011962", "semantic_fingerprint": "sha256:640cd2fc49b4d5fa227e0ea246bf8790f8911db563aa14b11d51c6f9425a56c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003029", "prompt": "Calculate: -6161 * (-84138 + (-7887 - (-1749)) * 8570)", "solution_steps": ["Subtract: -7887 - (-1749) = -6138", "Multiply: -6138 * 8570 = -52602660", "Add: -84138 + (-52602660) = -52686798", "Multiply: -6161 * (-52686798) = 324603362478"], "final_answer": "324603362478", "answer_type": "integer", "kind": "expression", "math_text": "-6161 * (-84138 + (-7887 - (-1749)) * 8570)", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (* (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6161, \"b\": -84138, \"c\": -7887, \"d\": -1749, \"e\": 8570}", "seed": "14320624526224672317", "semantic_fingerprint": "sha256:b799c7877b471204b12c1704108286ae8f53882816908f4c4fa317c3b263687c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003030", "prompt": "Solve the equation 30x = x + 5852 for x.", "solution_steps": ["Subtract x from both sides: 29x = 5852", "Divide both sides by 29: x = 5852/29"], "final_answer": "5852/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = x + 5852", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 5852}", "seed": "11300429736916513583", "semantic_fingerprint": "sha256:0036bfeea09a85d2775eda4ca1d260ecf1506a5fbc26ceed1b440dfe57270897", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003031", "prompt": "Evaluate: 79509 / (-6311)", "solution_steps": ["Divide: 79509 / (-6311) = -79509/6311"], "final_answer": "-79509/6311", "answer_type": "rational", "kind": "expression", "math_text": "79509 / (-6311)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79509, \"b\": -6311}", "seed": "12423485139525120188", "semantic_fingerprint": "sha256:b556307b2bb955b8a9e40755b20996e8a82ba54c2bcb17f018ca1d296865490a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003032", "prompt": "Compute: 89178 * 3458", "solution_steps": ["Multiply: 89178 * 3458 = 308377524"], "final_answer": "308377524", "answer_type": "integer", "kind": "expression", "math_text": "89178 * 3458", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 89178, \"b\": 3458}", "seed": "14256955507626867620", "semantic_fingerprint": "sha256:6b93b71783303fe9f4ae453caa390f638f209a185f349df4437fb3824034fdbe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003033", "prompt": "Solve the equation -25(x + 15454) - 5908 = 30(x + 15659) - 5050 for x.", "solution_steps": ["Expand: -25x - 386350 - 5908 = 30(x + 15659) - 5050", "Expand: -25x - 386350 - 5908 = 30x + 469770 - 5050", "Combine constants: -25x - 392258 = 30x + 469770 - 5050", "Combine constants: -25x - 392258 = 30x + 464720", "Subtract 30x from both sides: -55x - 392258 = 464720", "Add 392258 to both sides: -55x = 856978", "Divide both sides by -55: x = -856978/55"], "final_answer": "-856978/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x + 15454) - 5908 = 30(x + 15659) - 5050", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 15454, \"c\": 5908, \"d\": 30, \"e\": 15659, \"f\": 5050}", "seed": "1051024686453347542", "semantic_fingerprint": "sha256:b61fbebeca6c84d3013047a659e3766c0826626b3bb49e5791a0f6faaf5cee99", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003034", "prompt": "Solve the equation 20x + 11286 = -14(x - 1202) for x.", "solution_steps": ["Expand: 20x + 11286 = -14x + 16828", "Add 14x to both sides: 34x + 11286 = 16828", "Subtract 11286 from both sides: 34x = 5542", "Divide both sides by 34: x = 163"], "final_answer": "163", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 11286 = -14(x - 1202)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": -14, \"c\": 1202, \"e\": 11286, \"x\": 163}", "seed": "16476866428067556504", "semantic_fingerprint": "sha256:5433469fa6b1f41da05337baabcd26e62c0dd37cb807e624a05d946ef4895bb0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003035", "prompt": "Calculate: -18439 - 9463 * (-2613)", "solution_steps": ["Multiply: 9463 * (-2613) = -24726819", "Subtract: -18439 - (-24726819) = 24708380"], "final_answer": "24708380", "answer_type": "integer", "kind": "expression", "math_text": "-18439 - 9463 * (-2613)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18439, \"b\": 9463, \"c\": -2613}", "seed": "2842115173393430043", "semantic_fingerprint": "sha256:1df02b3f81cefdfddc9641c96613af25f7ef2640a99f51834e60bd19721ac536", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003036", "prompt": "Calculate: -5482 * (9486 + (-8114) / 3470 * 9539)", "solution_steps": ["Divide: -8114 / 3470 = -4057/1735", "Multiply: (-4057/1735) * 9539 = -38699723/1735", "Add: 9486 + (-38699723/1735) = -22241513/1735", "Multiply: -5482 * (-22241513/1735) = 121927974266/1735"], "final_answer": "121927974266/1735", "answer_type": "rational", "kind": "expression", "math_text": "-5482 * (9486 + (-8114) / 3470 * 9539)", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (* (/ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5482, \"b\": 9486, \"c\": -8114, \"d\": 3470, \"e\": 9539}", "seed": "16665639047359674178", "semantic_fingerprint": "sha256:ab54e81998ddb19a7e29286360bc43647ce8abae2499e44bb3ffccda9c81bf87", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003037", "prompt": "Solve the equation x = -31(x - 15332) + 36250 for x.", "solution_steps": ["Expand: x = -31x + 475292 + 36250", "Combine constants: x = -31x + 511542", "Add 31x to both sides: 32x = 511542", "Divide both sides by 32: x = 255771/16"], "final_answer": "255771/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -31(x - 15332) + 36250", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 15332, \"c\": 36250}", "seed": "14214985284143919804", "semantic_fingerprint": "sha256:20148efa9cb761a897d83753174b6e59e0ce6684949d0bf574d9e184e88f79e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003038", "prompt": "What is 87162 + (90184 + 4484) - (-35378 + (-58202))?", "solution_steps": ["Add: 90184 + 4484 = 94668", "Add: 87162 + 94668 = 181830", "Add: -35378 + (-58202) = -93580", "Subtract: 181830 - (-93580) = 275410"], "final_answer": "275410", "answer_type": "integer", "kind": "expression", "math_text": "87162 + (90184 + 4484) - (-35378 + (-58202))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 87162, \"b\": 90184, \"c\": 4484, \"d\": -35378, \"e\": -58202}", "seed": "3173529221473445396", "semantic_fingerprint": "sha256:0b693887a74b3566fdb3b3300483d9966247401b78e6defd291ea14021f31cc0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003039", "prompt": "Find x: 25(x - 2147) = 21(x - 5539)", "solution_steps": ["Expand: 25x - 53675 = 21(x - 5539)", "Expand: 25x - 53675 = 21x - 116319", "Subtract 21x from both sides: 4x - 53675 = -116319", "Add 53675 to both sides: 4x = -62644", "Divide both sides by 4: x = -15661"], "final_answer": "-15661", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 2147) = 21(x - 5539)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2147, \"c\": 21, \"d\": 5539}", "seed": "8773760876055358162", "semantic_fingerprint": "sha256:9fdc4649059b27c4159a33b7ebcd1ca32cd7cedb0bf3f23abc259e1dbad6e755", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003040", "prompt": "Calculate: 30820 * (-88999)", "solution_steps": ["Multiply: 30820 * (-88999) = -2742949180"], "final_answer": "-2742949180", "answer_type": "integer", "kind": "expression", "math_text": "30820 * (-88999)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 30820, \"b\": -88999}", "seed": "170681235749001067", "semantic_fingerprint": "sha256:917c7f0a3da64909c5d02f7dd6a1a919c28204fd822191e18d89be69206b8ab9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003041", "prompt": "What value of x satisfies -19(x + 8520) = 15(x - 9613)?", "solution_steps": ["Expand: -19x - 161880 = 15(x - 9613)", "Expand: -19x - 161880 = 15x - 144195", "Subtract 15x from both sides: -34x - 161880 = -144195", "Add 161880 to both sides: -34x = 17685", "Divide both sides by -34: x = -17685/34"], "final_answer": "-17685/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 8520) = 15(x - 9613)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 8520, \"c\": 15, \"d\": 9613}", "seed": "7380358606634706602", "semantic_fingerprint": "sha256:50c8077d423aa15bc511f932279bb4eee14f228522ac2de6c582c5c75d34dc0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003042", "prompt": "Evaluate: -1644 - (-5472)", "solution_steps": ["Subtract: -1644 - (-5472) = 3828"], "final_answer": "3828", "answer_type": "integer", "kind": "expression", "math_text": "-1644 - (-5472)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1644, \"b\": -5472}", "seed": "11356185148831829232", "semantic_fingerprint": "sha256:9320e43b84452725cc13d0fa03b6abbd0a610bec0378abbfad1f788db6af51f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003043", "prompt": "What value of x satisfies 30(x - 6390) + 45655 = x + 7192?", "solution_steps": ["Expand: 30x - 191700 + 45655 = x + 7192", "Combine constants: 30x - 146045 = x + 7192", "Subtract x from both sides: 29x - 146045 = 7192", "Add 146045 to both sides: 29x = 153237", "Divide both sides by 29: x = 153237/29"], "final_answer": "153237/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 6390) + 45655 = x + 7192", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 6390, \"c\": 45655, \"d\": 7192}", "seed": "11575327160107894641", "semantic_fingerprint": "sha256:edb715fcf249dd202d289144fe154e302ec86a8e3bda52327a0a000ee8ae0b24", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003044", "prompt": "Find x: -25(x - 6354) = 18(x - 39926)", "solution_steps": ["Expand: -25x + 158850 = 18(x - 39926)", "Expand: -25x + 158850 = 18x - 718668", "Subtract 18x from both sides: -43x + 158850 = -718668", "Subtract 158850 from both sides: -43x = -877518", "Divide both sides by -43: x = 877518/43"], "final_answer": "877518/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 6354) = 18(x - 39926)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 6354, \"c\": 18, \"d\": 39926}", "seed": "14977433838370437955", "semantic_fingerprint": "sha256:b78d8d24a2df99c5d3bf446a87ad3249d6d20c23cc0850df0d0c5f87abc6ca45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003045", "prompt": "Find x: x = -22(x - 3966) - 91461", "solution_steps": ["Expand: x = -22x + 87252 - 91461", "Combine constants: x = -22x - 4209", "Add 22x to both sides: 23x = -4209", "Divide both sides by 23: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -22(x - 3966) - 91461", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 3966, \"d\": -91461, \"x\": -183}", "seed": "3760849341852713643", "semantic_fingerprint": "sha256:8272ea9a99bae0c68974e9b58015702d72e10156a1c4807dfee72b7f6c94eefb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003046", "prompt": "Calculate: 3866 * (77168 * (-13020 / (-91446)))", "solution_steps": ["Divide: -13020 / (-91446) = 2170/15241", "Multiply: 77168 * (2170/15241) = 167454560/15241", "Multiply: 3866 * (167454560/15241) = 647379328960/15241"], "final_answer": "647379328960/15241", "answer_type": "rational", "kind": "expression", "math_text": "3866 * (77168 * (-13020 / (-91446)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3866, \"b\": 77168, \"c\": -13020, \"d\": -91446}", "seed": "7987767587506320942", "semantic_fingerprint": "sha256:89a04e57a89d273d48a419676178e893c855f4f42173796f030b3dfddc778843", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003047", "prompt": "Calculate: 2282 - (-6609)", "solution_steps": ["Subtract: 2282 - (-6609) = 8891"], "final_answer": "8891", "answer_type": "integer", "kind": "expression", "math_text": "2282 - (-6609)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2282, \"b\": -6609}", "seed": "6358324715316785792", "semantic_fingerprint": "sha256:8d637b699ca3665d66079101fab42588f059660da183d5a1314efa1c87b512d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003048", "prompt": "What is -33917 - (3216 - (-9288 - 78339) - (-75539 - (-76267)))?", "solution_steps": ["Subtract: -9288 - 78339 = -87627", "Subtract: 3216 - (-87627) = 90843", "Subtract: -75539 - (-76267) = 728", "Subtract: 90843 - 728 = 90115", "Subtract: -33917 - 90115 = -124032"], "final_answer": "-124032", "answer_type": "integer", "kind": "expression", "math_text": "-33917 - (3216 - (-9288 - 78339) - (-75539 - (-76267)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (- n (- n n)) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33917, \"b\": 3216, \"c\": -9288, \"d\": 78339, \"e\": -75539, \"f\": -76267}", "seed": "6745792470770195253", "semantic_fingerprint": "sha256:bd0d2616df614830f9f93ae502a17f5ba256edea79a32fcaa135680a299bfbea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003049", "prompt": "Calculate: (-88801 - 11015) / (8198 + (-8750))", "solution_steps": ["Subtract: -88801 - 11015 = -99816", "Add: 8198 + (-8750) = -552", "Divide: -99816 / (-552) = 4159/23"], "final_answer": "4159/23", "answer_type": "rational", "kind": "expression", "math_text": "(-88801 - 11015) / (8198 + (-8750))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -88801, \"b\": 11015, \"c\": 8198, \"d\": -8750}", "seed": "11961797301525858744", "semantic_fingerprint": "sha256:071ab11c5e65e66910ee6f0ce9a0b42f859d2c87837d224100d485c6b382db06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003050", "prompt": "Calculate: -94384 - 4495 * 8290 + (-9025) / 39340", "solution_steps": ["Multiply: 4495 * 8290 = 37263550", "Subtract: -94384 - 37263550 = -37357934", "Divide: -9025 / 39340 = -1805/7868", "Add: -37357934 + (-1805/7868) = -293932226517/7868"], "final_answer": "-293932226517/7868", "answer_type": "rational", "kind": "expression", "math_text": "-94384 - 4495 * 8290 + (-9025) / 39340", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -94384, \"b\": 4495, \"c\": 8290, \"d\": -9025, \"e\": 39340}", "seed": "15455552312329510042", "semantic_fingerprint": "sha256:666032c275e18cabff9b54c6afd6897e1bb400c6168e90e4845c90c34fedb0c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003051", "prompt": "Solve for x: 20x = x + 87342", "solution_steps": ["Subtract x from both sides: 19x = 87342", "Divide both sides by 19: x = 87342/19"], "final_answer": "87342/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x = x + 87342", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 87342}", "seed": "9396663142395270730", "semantic_fingerprint": "sha256:43ad43c6e0369eccddcaa2c09fb7fdcf2e849533372599359a659d1a66c4a84c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003052", "prompt": "Solve the equation 33x = 27(x + 51175) for x.", "solution_steps": ["Expand: 33x = 27x + 1381725", "Subtract 27x from both sides: 6x = 1381725", "Divide both sides by 6: x = 460575/2"], "final_answer": "460575/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x = 27(x + 51175)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 27, \"c\": 51175}", "seed": "18239307524494908410", "semantic_fingerprint": "sha256:2fd13250adcc6fd8dd49a81a4280ea77e9de9a8be6018ec6c6654e4a245c87df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003053", "prompt": "What is (-12864 - (-9051)) * 89138 / (-6737)?", "solution_steps": ["Subtract: -12864 - (-9051) = -3813", "Multiply: -3813 * 89138 = -339883194", "Divide: -339883194 / (-6737) = 339883194/6737"], "final_answer": "339883194/6737", "answer_type": "rational", "kind": "expression", "math_text": "(-12864 - (-9051)) * 89138 / (-6737)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -12864, \"b\": -9051, \"c\": 89138, \"d\": -6737}", "seed": "16983260192357339071", "semantic_fingerprint": "sha256:66a49faf4ecb2abeee1ee2c2fc354872d30773a39609d5301bd98bbd53b58114", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003054", "prompt": "Solve for x: x + 20848 = 20(x - 6473) + 19653", "solution_steps": ["Expand: x + 20848 = 20x - 129460 + 19653", "Combine constants: x + 20848 = 20x - 109807", "Subtract 20x from both sides: -19x + 20848 = -109807", "Subtract 20848 from both sides: -19x = -130655", "Divide both sides by -19: x = 130655/19"], "final_answer": "130655/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 20848 = 20(x - 6473) + 19653", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20848, \"b\": 20, \"c\": 6473, \"d\": 19653}", "seed": "2591767609909464884", "semantic_fingerprint": "sha256:9daa63916126264314d767af7f5416539ddc49e45204dc077fc44b233e9aee85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003055", "prompt": "Find x: -21x + 82502 = x + 79686", "solution_steps": ["Subtract x from both sides: -22x + 82502 = 79686", "Subtract 82502 from both sides: -22x = -2816", "Divide both sides by -22: x = 128"], "final_answer": "128", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x + 82502 = x + 79686", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 82502, \"d\": 79686, \"x\": 128}", "seed": "568085533057432874", "semantic_fingerprint": "sha256:bda14476eb51244bcae6b5e38017c8960c1193bb6e69a459d1d31c1baaeef2dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003056", "prompt": "Calculate: 1306 + (6443 + (-34177))", "solution_steps": ["Add: 6443 + (-34177) = -27734", "Add: 1306 + (-27734) = -26428"], "final_answer": "-26428", "answer_type": "integer", "kind": "expression", "math_text": "1306 + (6443 + (-34177))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1306, \"b\": 6443, \"c\": -34177}", "seed": "14894404832885917611", "semantic_fingerprint": "sha256:d00af0d5dd0d5c06255392ee714762fd1281d2e78faeeba31e06220a47f38720", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003057", "prompt": "Solve the equation 22x + 7770 = x + 5355 for x.", "solution_steps": ["Subtract x from both sides: 21x + 7770 = 5355", "Subtract 7770 from both sides: 21x = -2415", "Divide both sides by 21: x = -115"], "final_answer": "-115", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x + 7770 = x + 5355", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 7770, \"d\": 5355, \"x\": -115}", "seed": "14776642374084011684", "semantic_fingerprint": "sha256:633529947bb26f63ec93b8722635c9d19a3f69342f566cdfc180d77cc9479ff7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003058", "prompt": "Solve the equation 13(x + 3062) = x + 41018 for x.", "solution_steps": ["Expand: 13x + 39806 = x + 41018", "Subtract x from both sides: 12x + 39806 = 41018", "Subtract 39806 from both sides: 12x = 1212", "Divide both sides by 12: x = 101"], "final_answer": "101", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 3062) = x + 41018", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 3062, \"d\": 41018, \"x\": 101}", "seed": "15362676173486939537", "semantic_fingerprint": "sha256:f9cf8c66d3f3fc3b1014ad7e9a3ef241ad09b43f6f3ae3037e9589edae5652db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003059", "prompt": "Compute: -60691 / (-8487)", "solution_steps": ["Divide: -60691 / (-8487) = 60691/8487"], "final_answer": "60691/8487", "answer_type": "rational", "kind": "expression", "math_text": "-60691 / (-8487)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -60691, \"b\": -8487}", "seed": "6787620409948491699", "semantic_fingerprint": "sha256:a5573f6338f4a549d47cf87cdad0c0fc7c681c36175be19b001c183d0cabea01", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003060", "prompt": "What value of x satisfies -36x + 4894 = 19(x - 1186) - 6756?", "solution_steps": ["Expand: -36x + 4894 = 19x - 22534 - 6756", "Combine constants: -36x + 4894 = 19x - 29290", "Subtract 19x from both sides: -55x + 4894 = -29290", "Subtract 4894 from both sides: -55x = -34184", "Divide both sides by -55: x = 34184/55"], "final_answer": "34184/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36x + 4894 = 19(x - 1186) - 6756", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 4894, \"c\": 19, \"d\": 1186, \"e\": 6756}", "seed": "11152556890103992731", "semantic_fingerprint": "sha256:c7c3248a325389c6a5583e1b809c952d7336856de30d8c7e96f030c7589f61b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003061", "prompt": "Compute: 8985 + 4607", "solution_steps": ["Add: 8985 + 4607 = 13592"], "final_answer": "13592", "answer_type": "integer", "kind": "expression", "math_text": "8985 + 4607", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8985, \"b\": 4607}", "seed": "4418115816171344375", "semantic_fingerprint": "sha256:b3607d8e7388c6670864df7fae2b94623c2cf4caee8c96e0a318ea7c2318be4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003062", "prompt": "Compute: -1810 / 61435", "solution_steps": ["Divide: -1810 / 61435 = -362/12287"], "final_answer": "-362/12287", "answer_type": "rational", "kind": "expression", "math_text": "-1810 / 61435", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1810, \"b\": 61435}", "seed": "9000007257054449062", "semantic_fingerprint": "sha256:c1b87ecc410b9c228face0b55a060c4fded902728400fb7259e6576ef5b96ac3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003063", "prompt": "Calculate: 81791 - (-73229 + (-12237))", "solution_steps": ["Add: -73229 + (-12237) = -85466", "Subtract: 81791 - (-85466) = 167257"], "final_answer": "167257", "answer_type": "integer", "kind": "expression", "math_text": "81791 - (-73229 + (-12237))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 81791, \"b\": -73229, \"c\": -12237}", "seed": "17369909300670590306", "semantic_fingerprint": "sha256:94cd4b74cc90c01b3f9952f64149397bc0f1e662a9464010a88307019936c0f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003064", "prompt": "Solve for x: 17(x + 91842) + 4581 = x", "solution_steps": ["Expand: 17x + 1561314 + 4581 = x", "Combine constants: 17x + 1565895 = x", "Subtract x from both sides: 16x + 1565895 = 0", "Subtract 1565895 from both sides: 16x = -1565895", "Divide both sides by 16: x = -1565895/16"], "final_answer": "-1565895/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 91842) + 4581 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 91842, \"c\": 4581}", "seed": "12989223321432750208", "semantic_fingerprint": "sha256:71ee4f14f2fa262e8eb8c1895959544164f04743dc4d62cae4466197c79f29e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003065", "prompt": "Compute: 5443 + 52600 + (-6242) + 20507", "solution_steps": ["Add: 5443 + 52600 = 58043", "Add: 58043 + (-6242) = 51801", "Add: 51801 + 20507 = 72308"], "final_answer": "72308", "answer_type": "integer", "kind": "expression", "math_text": "5443 + 52600 + (-6242) + 20507", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5443, \"b\": 52600, \"c\": -6242, \"d\": 20507}", "seed": "9226772775009530605", "semantic_fingerprint": "sha256:0626704cfecac8d2255a6fd53f244a98a68b2c0e56ab2818c18b985f25e0c113", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003066", "prompt": "Evaluate: 67632 / 4064 * (-12304)", "solution_steps": ["Divide: 67632 / 4064 = 4227/254", "Multiply: (4227/254) * (-12304) = -26004504/127"], "final_answer": "-26004504/127", "answer_type": "rational", "kind": "expression", "math_text": "67632 / 4064 * (-12304)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 67632, \"b\": 4064, \"c\": -12304}", "seed": "15553487313310539156", "semantic_fingerprint": "sha256:4fe962571e5bc5b430152780d678265133cfe500fc0ea3b449ed94231db05401", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003067", "prompt": "Compute: -11479 * 6252", "solution_steps": ["Multiply: -11479 * 6252 = -71766708"], "final_answer": "-71766708", "answer_type": "integer", "kind": "expression", "math_text": "-11479 * 6252", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -11479, \"b\": 6252}", "seed": "583101821509914834", "semantic_fingerprint": "sha256:04e349d9aaf8f15b716473bbe3768ef260b792910f370323a79846c87551bb70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003068", "prompt": "Compute: -8030 / 2256", "solution_steps": ["Divide: -8030 / 2256 = -4015/1128"], "final_answer": "-4015/1128", "answer_type": "rational", "kind": "expression", "math_text": "-8030 / 2256", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8030, \"b\": 2256}", "seed": "12019215097399424175", "semantic_fingerprint": "sha256:2b37d7bd0f8fe38949a97a578ac7e88783c1cca9ec95a525d67e433284e173d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003069", "prompt": "What is (5889 - (-4757)) / 18932?", "solution_steps": ["Subtract: 5889 - (-4757) = 10646", "Divide: 10646 / 18932 = 5323/9466"], "final_answer": "5323/9466", "answer_type": "rational", "kind": "expression", "math_text": "(5889 - (-4757)) / 18932", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5889, \"b\": -4757, \"c\": 18932}", "seed": "11044906398543938606", "semantic_fingerprint": "sha256:5ce2cd6784e0523689ee41531a79bc82b079f6c60560a92f7cdaad0acbdf4dae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003070", "prompt": "Calculate: -99546 / 4473", "solution_steps": ["Divide: -99546 / 4473 = -33182/1491"], "final_answer": "-33182/1491", "answer_type": "rational", "kind": "expression", "math_text": "-99546 / 4473", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99546, \"b\": 4473}", "seed": "555785556583857355", "semantic_fingerprint": "sha256:5caba529dfd2eb2ac1a0b8737d02b6c8971a01819588822de667479961faeb70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003071", "prompt": "Solve the equation x = 14(x + 9864) for x.", "solution_steps": ["Expand: x = 14x + 138096", "Subtract 14x from both sides: -13x = 138096", "Divide both sides by -13: x = -138096/13"], "final_answer": "-138096/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 14(x + 9864)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 9864}", "seed": "11607167764773738781", "semantic_fingerprint": "sha256:570bf9bd80a36afe27b939f01a2916e80c423bad98169a6b2562532f8002ae6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003072", "prompt": "Evaluate: 70906 * (71323 / (6525 + 1969) - (-2596))", "solution_steps": ["Add: 6525 + 1969 = 8494", "Divide: 71323 / 8494 = 71323/8494", "Subtract: 71323/8494 - (-2596) = 22121747/8494", "Multiply: 70906 * (22121747/8494) = 784282296391/4247"], "final_answer": "784282296391/4247", "answer_type": "rational", "kind": "expression", "math_text": "70906 * (71323 / (6525 + 1969) - (-2596))", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 70906, \"b\": 71323, \"c\": 6525, \"d\": 1969, \"e\": -2596}", "seed": "18441595992890452513", "semantic_fingerprint": "sha256:97d0885f740df726befc82440e65969dded9bf41d71f13fff0e94d5689e97e99", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003073", "prompt": "Solve the equation 28(x + 4013) = x for x.", "solution_steps": ["Expand: 28x + 112364 = x", "Subtract x from both sides: 27x + 112364 = 0", "Subtract 112364 from both sides: 27x = -112364", "Divide both sides by 27: x = -112364/27"], "final_answer": "-112364/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 4013) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 4013}", "seed": "11977897572307725475", "semantic_fingerprint": "sha256:2204d6e8f5c6f7704568e9b2927a59d1674b402928a0ca4e114f26cc988f1bbc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003074", "prompt": "Evaluate: 7612 / 59209 * (-5321)", "solution_steps": ["Divide: 7612 / 59209 = 7612/59209", "Multiply: (7612/59209) * (-5321) = -40503452/59209"], "final_answer": "-40503452/59209", "answer_type": "rational", "kind": "expression", "math_text": "7612 / 59209 * (-5321)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7612, \"b\": 59209, \"c\": -5321}", "seed": "2258110745811231508", "semantic_fingerprint": "sha256:0faa6b112271dc3039392e1057b322b6e27ed7f7e3bfcea304a860b0768a2a7a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003075", "prompt": "Evaluate: -2554 / (2269 / 2092)", "solution_steps": ["Divide: 2269 / 2092 = 2269/2092", "Divide: -2554 / (2269/2092) = -5342968/2269"], "final_answer": "-5342968/2269", "answer_type": "rational", "kind": "expression", "math_text": "-2554 / (2269 / 2092)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2554, \"b\": 2269, \"c\": 2092}", "seed": "16965441106276804224", "semantic_fingerprint": "sha256:e65a38dc6ebd58ab610bd5abea853bbfcbb2023362bb9de85987d4bcc96c2467", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003076", "prompt": "Solve for x: 16(x + 5511) + 5043 = 26(x + 1744) + 49275", "solution_steps": ["Expand: 16x + 88176 + 5043 = 26(x + 1744) + 49275", "Expand: 16x + 88176 + 5043 = 26x + 45344 + 49275", "Combine constants: 16x + 93219 = 26x + 45344 + 49275", "Combine constants: 16x + 93219 = 26x + 94619", "Subtract 26x from both sides: -10x + 93219 = 94619", "Subtract 93219 from both sides: -10x = 1400", "Divide both sides by -10: x = -140"], "final_answer": "-140", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 5511) + 5043 = 26(x + 1744) + 49275", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5511, \"c\": 5043, \"d\": 26, \"e\": 1744, \"g\": 49275, \"x\": -140}", "seed": "9379304771577624563", "semantic_fingerprint": "sha256:788365e198a2d0238fd8d920c2c192f27bead9dd6f772b7c721246efbdc5056c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003077", "prompt": "What is 8747 * 52932 - (-77957)?", "solution_steps": ["Multiply: 8747 * 52932 = 462996204", "Subtract: 462996204 - (-77957) = 463074161"], "final_answer": "463074161", "answer_type": "integer", "kind": "expression", "math_text": "8747 * 52932 - (-77957)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8747, \"b\": 52932, \"c\": -77957}", "seed": "13566653196388971098", "semantic_fingerprint": "sha256:19ddf29e9739f96383185086af55a1f806eebde0e9cff2fced7545ed3b81cdcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003078", "prompt": "Calculate: 78707 / (-8864)", "solution_steps": ["Divide: 78707 / (-8864) = -78707/8864"], "final_answer": "-78707/8864", "answer_type": "rational", "kind": "expression", "math_text": "78707 / (-8864)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 78707, \"b\": -8864}", "seed": "16526617215769232562", "semantic_fingerprint": "sha256:54b7cd2dfbc428726c0ec15154cab440e05795db54199d91c5eb8175eef1c9f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003079", "prompt": "Calculate: -29242 * 39427", "solution_steps": ["Multiply: -29242 * 39427 = -1152924334"], "final_answer": "-1152924334", "answer_type": "integer", "kind": "expression", "math_text": "-29242 * 39427", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -29242, \"b\": 39427}", "seed": "15766643416545687522", "semantic_fingerprint": "sha256:a0e35fa0c759a17b6fb86292816cdb33637aaff4c32082156e6c3204be66e2b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003080", "prompt": "Solve for x: -20x - 7184 = -15(x + 5065)", "solution_steps": ["Expand: -20x - 7184 = -15x - 75975", "Add 15x to both sides: -5x - 7184 = -75975", "Add 7184 to both sides: -5x = -68791", "Divide both sides by -5: x = 68791/5"], "final_answer": "68791/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x - 7184 = -15(x + 5065)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 7184, \"c\": -15, \"d\": 5065}", "seed": "8111199067619158666", "semantic_fingerprint": "sha256:34c95b70f4780d6e4b8a3ad4766fd9c69c36d66e0234aa358c16e16b50c04a9f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003081", "prompt": "Solve the equation 18(x + 4158) - 8574 = -28(x - 75837) for x.", "solution_steps": ["Expand: 18x + 74844 - 8574 = -28(x - 75837)", "Expand: 18x + 74844 - 8574 = -28x + 2123436", "Combine constants: 18x + 66270 = -28x + 2123436", "Add 28x to both sides: 46x + 66270 = 2123436", "Subtract 66270 from both sides: 46x = 2057166", "Divide both sides by 46: x = 44721"], "final_answer": "44721", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 4158) - 8574 = -28(x - 75837)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 4158, \"c\": 8574, \"d\": -28, \"e\": 75837}", "seed": "3889993951249147266", "semantic_fingerprint": "sha256:84be6afb6177ad7c55c85f1f0b88d47d692e58e959f36e8373572236a7bd84a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003082", "prompt": "Evaluate: 6751 - 80554 * (-19977)", "solution_steps": ["Multiply: 80554 * (-19977) = -1609227258", "Subtract: 6751 - (-1609227258) = 1609234009"], "final_answer": "1609234009", "answer_type": "integer", "kind": "expression", "math_text": "6751 - 80554 * (-19977)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6751, \"b\": 80554, \"c\": -19977}", "seed": "16914817109452378108", "semantic_fingerprint": "sha256:fed284733b9bc42001389b567bf4b76797cd302848e54b200927f05236f9dbc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003083", "prompt": "Evaluate: (1815 - 96700) / (-4081) * 3481", "solution_steps": ["Subtract: 1815 - 96700 = -94885", "Divide: -94885 / (-4081) = 13555/583", "Multiply: (13555/583) * 3481 = 47184955/583"], "final_answer": "47184955/583", "answer_type": "rational", "kind": "expression", "math_text": "(1815 - 96700) / (-4081) * 3481", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1815, \"b\": 96700, \"c\": -4081, \"d\": 3481}", "seed": "5989933806310248778", "semantic_fingerprint": "sha256:0e6cd2c4633117cedbfade1d83f2dc6b80273de5440c15750c1a6c32e4eacd14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003084", "prompt": "Find x: x + 4287 = 4108", "solution_steps": ["Subtract 4287 from both sides: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4287 = 4108", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4287, \"c\": 4108, \"x\": -179}", "seed": "9743393110832015237", "semantic_fingerprint": "sha256:1b7d6e357a0e5d2e0e31a24c5e7c97d9cfc03db081bb18f083af223cf22cbcd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003085", "prompt": "Calculate: (96595 + 6080) * (-6586) - (-95894)", "solution_steps": ["Add: 96595 + 6080 = 102675", "Multiply: 102675 * (-6586) = -676217550", "Subtract: -676217550 - (-95894) = -676121656"], "final_answer": "-676121656", "answer_type": "integer", "kind": "expression", "math_text": "(96595 + 6080) * (-6586) - (-95894)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96595, \"b\": 6080, \"c\": -6586, \"d\": -95894}", "seed": "3162890554692718499", "semantic_fingerprint": "sha256:b1af595e41502f715aca2451167b04d561c5abf2fc3e85f0a6e05fd78414b704", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003086", "prompt": "Compute: -42569 * 54925", "solution_steps": ["Multiply: -42569 * 54925 = -2338102325"], "final_answer": "-2338102325", "answer_type": "integer", "kind": "expression", "math_text": "-42569 * 54925", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -42569, \"b\": 54925}", "seed": "2313113070601938974", "semantic_fingerprint": "sha256:73b42f4b97bf2ca38c66322d4aec3faa023369bb7633b97a9d3c59d78ebd900d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003087", "prompt": "Evaluate: 7125 / 1115", "solution_steps": ["Divide: 7125 / 1115 = 1425/223"], "final_answer": "1425/223", "answer_type": "rational", "kind": "expression", "math_text": "7125 / 1115", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7125, \"b\": 1115}", "seed": "152069421955584923", "semantic_fingerprint": "sha256:1965e8c7b7b05f8f9239a5fbead2f5d350abe63dd89f5ddff12c963fdcdbb408", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003088", "prompt": "Compute: 32880 - (34379 - 7404)", "solution_steps": ["Subtract: 34379 - 7404 = 26975", "Subtract: 32880 - 26975 = 5905"], "final_answer": "5905", "answer_type": "integer", "kind": "expression", "math_text": "32880 - (34379 - 7404)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32880, \"b\": 34379, \"c\": 7404}", "seed": "16165054376833127051", "semantic_fingerprint": "sha256:79ec838731a9ebc1e84128b48da693bf975e5d115104a045288532131d26a4f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003089", "prompt": "What is -7497 + 1917 + 17775 * 50734?", "solution_steps": ["Add: -7497 + 1917 = -5580", "Multiply: 17775 * 50734 = 901796850", "Add: -5580 + 901796850 = 901791270"], "final_answer": "901791270", "answer_type": "integer", "kind": "expression", "math_text": "-7497 + 1917 + 17775 * 50734", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7497, \"b\": 1917, \"c\": 17775, \"d\": 50734}", "seed": "5910047524636674168", "semantic_fingerprint": "sha256:1a635e2577f073799a5642a408f7515fd6899b8134b3dae0b09a35a56d4e43d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003090", "prompt": "Compute: -3281 / 9033", "solution_steps": ["Divide: -3281 / 9033 = -3281/9033"], "final_answer": "-3281/9033", "answer_type": "rational", "kind": "expression", "math_text": "-3281 / 9033", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3281, \"b\": 9033}", "seed": "16728362737932791021", "semantic_fingerprint": "sha256:fbb2fc1251b746b94244247e945ce1f6d7fe5ffe9c97954d7eed057b2ad3188c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003091", "prompt": "What is -53272 + (-89590) * (-7133)?", "solution_steps": ["Multiply: -89590 * (-7133) = 639045470", "Add: -53272 + 639045470 = 638992198"], "final_answer": "638992198", "answer_type": "integer", "kind": "expression", "math_text": "-53272 + (-89590) * (-7133)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53272, \"b\": -89590, \"c\": -7133}", "seed": "18434833436624895584", "semantic_fingerprint": "sha256:bde68ca075e19b7d8c0e118390c0cbfceec81a0f5c81386ff924239ab610d409", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003092", "prompt": "Compute: 2725 - (8054 + 37509 + (-99850))", "solution_steps": ["Add: 8054 + 37509 = 45563", "Add: 45563 + (-99850) = -54287", "Subtract: 2725 - (-54287) = 57012"], "final_answer": "57012", "answer_type": "integer", "kind": "expression", "math_text": "2725 - (8054 + 37509 + (-99850))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2725, \"b\": 8054, \"c\": 37509, \"d\": -99850}", "seed": "4288273575932149063", "semantic_fingerprint": "sha256:824848b3e0bb8e8a814fa95f97d4ac19704b5262dd00c3846062a9cbc913b266", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003093", "prompt": "Calculate: -1113 - (4334 + 17325 * (29569 / (-8988)))", "solution_steps": ["Divide: 29569 / (-8988) = -29569/8988", "Multiply: 17325 * (-29569/8988) = -24394425/428", "Add: 4334 + (-24394425/428) = -22539473/428", "Subtract: -1113 - (-22539473/428) = 22063109/428"], "final_answer": "22063109/428", "answer_type": "rational", "kind": "expression", "math_text": "-1113 - (4334 + 17325 * (29569 / (-8988)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* n (/ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1113, \"b\": 4334, \"c\": 17325, \"d\": 29569, \"e\": -8988}", "seed": "1726266060664556553", "semantic_fingerprint": "sha256:dd638007ff866f40d8c85cf103e7dc233b20a516c4d672b3558f499ab399ef20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003094", "prompt": "Calculate: -67252 + (-5169)", "solution_steps": ["Add: -67252 + (-5169) = -72421"], "final_answer": "-72421", "answer_type": "integer", "kind": "expression", "math_text": "-67252 + (-5169)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -67252, \"b\": -5169}", "seed": "15816679796392579655", "semantic_fingerprint": "sha256:7ff191f054cfacccd2a82cf0a727f2faab4c5ab16a21994193cdb8e8a0ebe4df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003095", "prompt": "What is -92898 / 9549 * (-85984 + 9823) - 60123?", "solution_steps": ["Divide: -92898 / 9549 = -10322/1061", "Add: -85984 + 9823 = -76161", "Multiply: (-10322/1061) * (-76161) = 786133842/1061", "Subtract: 786133842/1061 - 60123 = 722343339/1061"], "final_answer": "722343339/1061", "answer_type": "rational", "kind": "expression", "math_text": "-92898 / 9549 * (-85984 + 9823) - 60123", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -92898, \"b\": 9549, \"c\": -85984, \"d\": 9823, \"e\": 60123}", "seed": "8519196505751024233", "semantic_fingerprint": "sha256:bb59fcb2b242b4514e01e2b248fbfaf02fac0348336b3a7f9db8561308d82e80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003096", "prompt": "Compute: -1905 + (-1854)", "solution_steps": ["Add: -1905 + (-1854) = -3759"], "final_answer": "-3759", "answer_type": "integer", "kind": "expression", "math_text": "-1905 + (-1854)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1905, \"b\": -1854}", "seed": "11969616416168131832", "semantic_fingerprint": "sha256:38915716f5772c1dd6174642c7b3adb98dd5bfc225445f5afc45cb82775029d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003097", "prompt": "Solve for x: 20x = 17(x + 64773)", "solution_steps": ["Expand: 20x = 17x + 1101141", "Subtract 17x from both sides: 3x = 1101141", "Divide both sides by 3: x = 367047"], "final_answer": "367047", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = 17(x + 64773)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 17, \"c\": 64773}", "seed": "14823921870087092143", "semantic_fingerprint": "sha256:f7dc576ff32b997a3785d4dbd467e25557a0b86e80946659b011a2cad96f165d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003098", "prompt": "Evaluate: -5137 * 1187", "solution_steps": ["Multiply: -5137 * 1187 = -6097619"], "final_answer": "-6097619", "answer_type": "integer", "kind": "expression", "math_text": "-5137 * 1187", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5137, \"b\": 1187}", "seed": "322742569424848420", "semantic_fingerprint": "sha256:d7c8ea652b443cb01fe6f70454f0b8cc66fb0e4dfb8f4911de7219a1d40182ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003099", "prompt": "Compute: -8813 + 2336 + (7989 - (-8391))", "solution_steps": ["Add: -8813 + 2336 = -6477", "Subtract: 7989 - (-8391) = 16380", "Add: -6477 + 16380 = 9903"], "final_answer": "9903", "answer_type": "integer", "kind": "expression", "math_text": "-8813 + 2336 + (7989 - (-8391))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8813, \"b\": 2336, \"c\": 7989, \"d\": -8391}", "seed": "15295465462505935277", "semantic_fingerprint": "sha256:6db1fca993d8c287150aa369c43a92286a249572ca7a6d72287456f62f606fe6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003100", "prompt": "Solve for x: -24x + 7091 = x + 3366", "solution_steps": ["Subtract x from both sides: -25x + 7091 = 3366", "Subtract 7091 from both sides: -25x = -3725", "Divide both sides by -25: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x + 7091 = x + 3366", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 7091, \"d\": 3366, \"x\": 149}", "seed": "11011933399284072421", "semantic_fingerprint": "sha256:246454ffb0113a6199507fd2d16072b436bc1e7bc2f8f887d477d52dd3af8c33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003101", "prompt": "Calculate: (-48759 + (-31951 - 30214)) * 6210", "solution_steps": ["Subtract: -31951 - 30214 = -62165", "Add: -48759 + (-62165) = -110924", "Multiply: -110924 * 6210 = -688838040"], "final_answer": "-688838040", "answer_type": "integer", "kind": "expression", "math_text": "(-48759 + (-31951 - 30214)) * 6210", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -48759, \"b\": -31951, \"c\": 30214, \"d\": 6210}", "seed": "11216596880993483605", "semantic_fingerprint": "sha256:08331ea6dac94877d8f307ff8d8daa7de4dd6250a74c725ddc1fd452cb73772a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003102", "prompt": "Solve the equation -22(x + 8528) - 54727 = 25(x + 2254) for x.", "solution_steps": ["Expand: -22x - 187616 - 54727 = 25(x + 2254)", "Expand: -22x - 187616 - 54727 = 25x + 56350", "Combine constants: -22x - 242343 = 25x + 56350", "Subtract 25x from both sides: -47x - 242343 = 56350", "Add 242343 to both sides: -47x = 298693", "Divide both sides by -47: x = -298693/47"], "final_answer": "-298693/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x + 8528) - 54727 = 25(x + 2254)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 8528, \"c\": 54727, \"d\": 25, \"e\": 2254}", "seed": "824076698490414384", "semantic_fingerprint": "sha256:9f1822bb985d714be43d84b556c6e8a7218c975db0d4194cd73dfe2eeacd214a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003103", "prompt": "Solve the equation 29(x - 61568) = x for x.", "solution_steps": ["Expand: 29x - 1785472 = x", "Subtract x from both sides: 28x - 1785472 = 0", "Add 1785472 to both sides: 28x = 1785472", "Divide both sides by 28: x = 446368/7"], "final_answer": "446368/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 61568) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 61568}", "seed": "515226778865218263", "semantic_fingerprint": "sha256:6712be0c79b5926f6f29af3c383e09e39bc1bace6f026294f8ca504b3e5e76c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003104", "prompt": "Evaluate: -88699 / (-3358 * 2873)", "solution_steps": ["Multiply: -3358 * 2873 = -9647534", "Divide: -88699 / (-9647534) = 6823/742118"], "final_answer": "6823/742118", "answer_type": "rational", "kind": "expression", "math_text": "-88699 / (-3358 * 2873)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88699, \"b\": -3358, \"c\": 2873}", "seed": "10047896925790736856", "semantic_fingerprint": "sha256:3ec943fb8eccbc353b9fd0ec5ee65388a146ad7ddd6ca911f327f43aa6b78c0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003105", "prompt": "Solve for x: x + 2623 = -31(x + 79290)", "solution_steps": ["Expand: x + 2623 = -31x - 2457990", "Add 31x to both sides: 32x + 2623 = -2457990", "Subtract 2623 from both sides: 32x = -2460613", "Divide both sides by 32: x = -2460613/32"], "final_answer": "-2460613/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2623 = -31(x + 79290)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2623, \"b\": -31, \"c\": 79290}", "seed": "16084674606998730943", "semantic_fingerprint": "sha256:ced8d226b9741f27e0e85541d629375a6b44df415280ff71ae1a3aceacf02998", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003106", "prompt": "Solve for x: 30(x + 1668) - 46154 = x", "solution_steps": ["Expand: 30x + 50040 - 46154 = x", "Combine constants: 30x + 3886 = x", "Subtract x from both sides: 29x + 3886 = 0", "Subtract 3886 from both sides: 29x = -3886", "Divide both sides by 29: x = -134"], "final_answer": "-134", "answer_type": "integer", "kind": "linear_equation", "math_text": "30(x + 1668) - 46154 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 1668, \"d\": -46154, \"x\": -134}", "seed": "5489719371876955728", "semantic_fingerprint": "sha256:61a3e6783c0b81b321639072682a154074672200f8ca080ddb84640a144ae727", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003107", "prompt": "Calculate: (-6252 + 48570 / (-5155)) * (-2019)", "solution_steps": ["Divide: 48570 / (-5155) = -9714/1031", "Add: -6252 + (-9714/1031) = -6455526/1031", "Multiply: (-6455526/1031) * (-2019) = 13033706994/1031"], "final_answer": "13033706994/1031", "answer_type": "rational", "kind": "expression", "math_text": "(-6252 + 48570 / (-5155)) * (-2019)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6252, \"b\": 48570, \"c\": -5155, \"d\": -2019}", "seed": "3354876310530605634", "semantic_fingerprint": "sha256:7f690773c8fcd13c8ac06c78ea184089166e8a712022fafe27c83d9a4bca8fd3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003108", "prompt": "Solve for x: -35(x - 4742) - 2249 = -40(x + 9767) - 5554", "solution_steps": ["Expand: -35x + 165970 - 2249 = -40(x + 9767) - 5554", "Expand: -35x + 165970 - 2249 = -40x - 390680 - 5554", "Combine constants: -35x + 163721 = -40x - 390680 - 5554", "Combine constants: -35x + 163721 = -40x - 396234", "Add 40x to both sides: 5x + 163721 = -396234", "Subtract 163721 from both sides: 5x = -559955", "Divide both sides by 5: x = -111991"], "final_answer": "-111991", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35(x - 4742) - 2249 = -40(x + 9767) - 5554", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 4742, \"c\": 2249, \"d\": -40, \"e\": 9767, \"f\": 5554}", "seed": "7958369460396150217", "semantic_fingerprint": "sha256:0b024b61452a8b81275ed90e8329766f519644230c4443496cd304a44df7de66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003109", "prompt": "Calculate: (-1204 - 54787) * (-2771 + 6038)", "solution_steps": ["Subtract: -1204 - 54787 = -55991", "Add: -2771 + 6038 = 3267", "Multiply: -55991 * 3267 = -182922597"], "final_answer": "-182922597", "answer_type": "integer", "kind": "expression", "math_text": "(-1204 - 54787) * (-2771 + 6038)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1204, \"b\": 54787, \"c\": -2771, \"d\": 6038}", "seed": "6504949316995767078", "semantic_fingerprint": "sha256:825281952ca544dd009f07bf587d4489eb4a8222477599113363dece3afcd4a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003110", "prompt": "Compute: -16656 - (-54600 / (-44588) - (-5553))", "solution_steps": ["Divide: -54600 / (-44588) = 13650/11147", "Subtract: 13650/11147 - (-5553) = 61912941/11147", "Subtract: -16656 - 61912941/11147 = -247577373/11147"], "final_answer": "-247577373/11147", "answer_type": "rational", "kind": "expression", "math_text": "-16656 - (-54600 / (-44588) - (-5553))", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16656, \"b\": -54600, \"c\": -44588, \"d\": -5553}", "seed": "1198184230396778971", "semantic_fingerprint": "sha256:b133e555523da2b659166d08f58976735218dfe51445f72ef5fd62701dd483fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003111", "prompt": "Evaluate: -44585 / (-96705) + (4497 + (-7492))", "solution_steps": ["Divide: -44585 / (-96705) = 8917/19341", "Add: 4497 + (-7492) = -2995", "Add: 8917/19341 + (-2995) = -57917378/19341"], "final_answer": "-57917378/19341", "answer_type": "rational", "kind": "expression", "math_text": "-44585 / (-96705) + (4497 + (-7492))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -44585, \"b\": -96705, \"c\": 4497, \"d\": -7492}", "seed": "1561188972483177233", "semantic_fingerprint": "sha256:b993d903333492cda7ef8817a05e13bd39263bbc5c6e5c460b4271b9b0c3b220", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003112", "prompt": "Calculate: -2823 - (-1445 - 37683 + (-60587))", "solution_steps": ["Subtract: -1445 - 37683 = -39128", "Add: -39128 + (-60587) = -99715", "Subtract: -2823 - (-99715) = 96892"], "final_answer": "96892", "answer_type": "integer", "kind": "expression", "math_text": "-2823 - (-1445 - 37683 + (-60587))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2823, \"b\": -1445, \"c\": 37683, \"d\": -60587}", "seed": "5000756589722955296", "semantic_fingerprint": "sha256:3b91db29a0e1b3c5f40ce613ec1581b0f847db2441083648e37569e41e79359a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003113", "prompt": "Calculate: -7678 / (-68853) + (-6584)", "solution_steps": ["Divide: -7678 / (-68853) = 7678/68853", "Add: 7678/68853 + (-6584) = -453320474/68853"], "final_answer": "-453320474/68853", "answer_type": "rational", "kind": "expression", "math_text": "-7678 / (-68853) + (-6584)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7678, \"b\": -68853, \"c\": -6584}", "seed": "3773372135979230018", "semantic_fingerprint": "sha256:3303b4c9711a5b463823892f6b123db905e99f29f70d35ca8997b50c3217a7dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003114", "prompt": "Find x: 25(x + 1590) = 21x + 39226", "solution_steps": ["Expand: 25x + 39750 = 21x + 39226", "Subtract 21x from both sides: 4x + 39750 = 39226", "Subtract 39750 from both sides: 4x = -524", "Divide both sides by 4: x = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x + 1590) = 21x + 39226", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1590, \"c\": 21, \"e\": 39226, \"x\": -131}", "seed": "14337448185121670094", "semantic_fingerprint": "sha256:3b232cfc4b8b186ac9585010b56f7e886bb7acc5fa20df96c54e1cebbd734f73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003115", "prompt": "Calculate: 1442 * (-2630) * 10058", "solution_steps": ["Multiply: 1442 * (-2630) = -3792460", "Multiply: -3792460 * 10058 = -38144562680"], "final_answer": "-38144562680", "answer_type": "integer", "kind": "expression", "math_text": "1442 * (-2630) * 10058", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1442, \"b\": -2630, \"c\": 10058}", "seed": "2029400625444456591", "semantic_fingerprint": "sha256:ba7bafb68a8266632cb919cbdd55f0153d6065610861bdef119de1cfd492505f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003116", "prompt": "What value of x satisfies -24(x + 68322) = -32x + 6634?", "solution_steps": ["Expand: -24x - 1639728 = -32x + 6634", "Add 32x to both sides: 8x - 1639728 = 6634", "Add 1639728 to both sides: 8x = 1646362", "Divide both sides by 8: x = 823181/4"], "final_answer": "823181/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x + 68322) = -32x + 6634", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 68322, \"c\": -32, \"d\": 6634}", "seed": "13702127183779803478", "semantic_fingerprint": "sha256:e84f81fed41ffd375a75cc3ce97b52a94f869132ff8dcd2cceca63553e599dfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003117", "prompt": "Calculate: -39548 * (70037 + (-6565))", "solution_steps": ["Add: 70037 + (-6565) = 63472", "Multiply: -39548 * 63472 = -2510190656"], "final_answer": "-2510190656", "answer_type": "integer", "kind": "expression", "math_text": "-39548 * (70037 + (-6565))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39548, \"b\": 70037, \"c\": -6565}", "seed": "8255770119379945987", "semantic_fingerprint": "sha256:96f4fa1baea6bb9a9b1471ffa482c00f68d8a1d1314783ede077e66f89a238d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003118", "prompt": "Evaluate: 6700 * (4572 / (-7674))", "solution_steps": ["Divide: 4572 / (-7674) = -762/1279", "Multiply: 6700 * (-762/1279) = -5105400/1279"], "final_answer": "-5105400/1279", "answer_type": "rational", "kind": "expression", "math_text": "6700 * (4572 / (-7674))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6700, \"b\": 4572, \"c\": -7674}", "seed": "6602334130340691270", "semantic_fingerprint": "sha256:8895b421c85647dab48cb47225eeb686fa3a1d6a4aff7cc06e7ee60a38ab7427", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003119", "prompt": "Evaluate: -43570 - 56200 + (-2011)", "solution_steps": ["Subtract: -43570 - 56200 = -99770", "Add: -99770 + (-2011) = -101781"], "final_answer": "-101781", "answer_type": "integer", "kind": "expression", "math_text": "-43570 - 56200 + (-2011)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43570, \"b\": 56200, \"c\": -2011}", "seed": "17908160260779818571", "semantic_fingerprint": "sha256:351730710b0b1c45879f979e4ad211579b50262c8ed7096c0738e490efe702ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003120", "prompt": "Calculate: (-4129 - (-15590)) / (-7892 - 7188 - (-8752))", "solution_steps": ["Subtract: -4129 - (-15590) = 11461", "Subtract: -7892 - 7188 = -15080", "Subtract: -15080 - (-8752) = -6328", "Divide: 11461 / (-6328) = -11461/6328"], "final_answer": "-11461/6328", "answer_type": "rational", "kind": "expression", "math_text": "(-4129 - (-15590)) / (-7892 - 7188 - (-8752))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4129, \"b\": -15590, \"c\": -7892, \"d\": 7188, \"e\": -8752}", "seed": "11834272868238652397", "semantic_fingerprint": "sha256:b9e496e43ecb50713cb25ed310fbd5fa3815b71766016068a785a1c842edf89c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003121", "prompt": "Evaluate: -46175 / (-3662) * (-6596 + (-71632))", "solution_steps": ["Divide: -46175 / (-3662) = 46175/3662", "Add: -6596 + (-71632) = -78228", "Multiply: (46175/3662) * (-78228) = -1806088950/1831"], "final_answer": "-1806088950/1831", "answer_type": "rational", "kind": "expression", "math_text": "-46175 / (-3662) * (-6596 + (-71632))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -46175, \"b\": -3662, \"c\": -6596, \"d\": -71632}", "seed": "2631323998817130890", "semantic_fingerprint": "sha256:2398d10c37b17f4850d5c41b7dde0c7a9e88455540605b1fb59974b8f62d100f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003122", "prompt": "Compute: (-4503 + (7289 - (-31981))) * 6154", "solution_steps": ["Subtract: 7289 - (-31981) = 39270", "Add: -4503 + 39270 = 34767", "Multiply: 34767 * 6154 = 213956118"], "final_answer": "213956118", "answer_type": "integer", "kind": "expression", "math_text": "(-4503 + (7289 - (-31981))) * 6154", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4503, \"b\": 7289, \"c\": -31981, \"d\": 6154}", "seed": "3663374339513737299", "semantic_fingerprint": "sha256:940e3eb9b387f8788f873aa9a521b7d71da4d5cb03e931575a1b2267e2d51de0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003123", "prompt": "Calculate: -9892 + 3505 * (-41533)", "solution_steps": ["Multiply: 3505 * (-41533) = -145573165", "Add: -9892 + (-145573165) = -145583057"], "final_answer": "-145583057", "answer_type": "integer", "kind": "expression", "math_text": "-9892 + 3505 * (-41533)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9892, \"b\": 3505, \"c\": -41533}", "seed": "13434066653164490116", "semantic_fingerprint": "sha256:9dcd9bdabf1a59986854903c6257b4440253920987b47280bd8b7b15156b86e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003124", "prompt": "Compute: 5924 - (-99786) + (7319 - 7473 * 9831)", "solution_steps": ["Subtract: 5924 - (-99786) = 105710", "Multiply: 7473 * 9831 = 73467063", "Subtract: 7319 - 73467063 = -73459744", "Add: 105710 + (-73459744) = -73354034"], "final_answer": "-73354034", "answer_type": "integer", "kind": "expression", "math_text": "5924 - (-99786) + (7319 - 7473 * 9831)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5924, \"b\": -99786, \"c\": 7319, \"d\": 7473, \"e\": 9831}", "seed": "6357801719508560977", "semantic_fingerprint": "sha256:7d9b31317d2654b3ae2926f71dfe25aa8cb081d141a3dd90ccc38d90723f549d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003125", "prompt": "Evaluate: -23980 * 5396", "solution_steps": ["Multiply: -23980 * 5396 = -129396080"], "final_answer": "-129396080", "answer_type": "integer", "kind": "expression", "math_text": "-23980 * 5396", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -23980, \"b\": 5396}", "seed": "2684806319411330081", "semantic_fingerprint": "sha256:7da138624ca030fdedf9a114a4c1f0826a087fd1134efa9befd012c5a95bac38", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003126", "prompt": "Compute: 5189 - 4368", "solution_steps": ["Subtract: 5189 - 4368 = 821"], "final_answer": "821", "answer_type": "integer", "kind": "expression", "math_text": "5189 - 4368", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5189, \"b\": 4368}", "seed": "15775014503422699266", "semantic_fingerprint": "sha256:d3ea27ab2083f79a7368b30e23c68c89d379bbb61c56536224166ccccbc96f62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003127", "prompt": "What is 2164 / 8403?", "solution_steps": ["Divide: 2164 / 8403 = 2164/8403"], "final_answer": "2164/8403", "answer_type": "rational", "kind": "expression", "math_text": "2164 / 8403", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2164, \"b\": 8403}", "seed": "498718179353840191", "semantic_fingerprint": "sha256:4dc5a6411f2f83aa17ce5bc2c43e14a2e7ed512717d73b9461a363b96af9af91", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003128", "prompt": "What value of x satisfies -31(x + 6793) + 4316 = -35x + 6056?", "solution_steps": ["Expand: -31x - 210583 + 4316 = -35x + 6056", "Combine constants: -31x - 206267 = -35x + 6056", "Add 35x to both sides: 4x - 206267 = 6056", "Add 206267 to both sides: 4x = 212323", "Divide both sides by 4: x = 212323/4"], "final_answer": "212323/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x + 6793) + 4316 = -35x + 6056", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 6793, \"c\": 4316, \"d\": -35, \"e\": 6056}", "seed": "13137619345799247375", "semantic_fingerprint": "sha256:5b61c204d37c612cb19fab6f7dd63866f045a8562c5ee77948760890f9df6e96", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003129", "prompt": "Evaluate: 34564 + (-4743) - (-18656)", "solution_steps": ["Add: 34564 + (-4743) = 29821", "Subtract: 29821 - (-18656) = 48477"], "final_answer": "48477", "answer_type": "integer", "kind": "expression", "math_text": "34564 + (-4743) - (-18656)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34564, \"b\": -4743, \"c\": -18656}", "seed": "239738758987844030", "semantic_fingerprint": "sha256:4e5c13fb175aab7273e726c3e5700136bdb99329dc4247de34577cdf2b3385cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003130", "prompt": "Evaluate: (-9524 - 9066 - 2125) * (-1466) - 6133", "solution_steps": ["Subtract: -9524 - 9066 = -18590", "Subtract: -18590 - 2125 = -20715", "Multiply: -20715 * (-1466) = 30368190", "Subtract: 30368190 - 6133 = 30362057"], "final_answer": "30362057", "answer_type": "integer", "kind": "expression", "math_text": "(-9524 - 9066 - 2125) * (-1466) - 6133", "variable": null, "family": "expression_4op", "shape": "(- (* (- (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9524, \"b\": 9066, \"c\": 2125, \"d\": -1466, \"e\": 6133}", "seed": "661959741827026527", "semantic_fingerprint": "sha256:2259656537e2985814745cf6bfdb3a234655bbeff8f98a8e3ebdb7825729ed52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003131", "prompt": "Compute: -1086 * 8689", "solution_steps": ["Multiply: -1086 * 8689 = -9436254"], "final_answer": "-9436254", "answer_type": "integer", "kind": "expression", "math_text": "-1086 * 8689", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1086, \"b\": 8689}", "seed": "7243336169634989861", "semantic_fingerprint": "sha256:4d1887f9ccceaaac5390d33f9a9796777d5401b72fc0915b4d88c7d34da0e349", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003132", "prompt": "Find x: 29x + 3780 = x", "solution_steps": ["Subtract x from both sides: 28x + 3780 = 0", "Subtract 3780 from both sides: 28x = -3780", "Divide both sides by 28: x = -135"], "final_answer": "-135", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x + 3780 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 3780, \"x\": -135}", "seed": "11748857143651582716", "semantic_fingerprint": "sha256:da0c5ba282fd9cfecf06aadd1f878c79ba9dd1d2c0445b46436e92cd6604d8e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003133", "prompt": "What value of x satisfies 40x + 61907 = 24(x - 49169) + 3714?", "solution_steps": ["Expand: 40x + 61907 = 24x - 1180056 + 3714", "Combine constants: 40x + 61907 = 24x - 1176342", "Subtract 24x from both sides: 16x + 61907 = -1176342", "Subtract 61907 from both sides: 16x = -1238249", "Divide both sides by 16: x = -1238249/16"], "final_answer": "-1238249/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x + 61907 = 24(x - 49169) + 3714", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 61907, \"c\": 24, \"d\": 49169, \"e\": 3714}", "seed": "3011005620435818104", "semantic_fingerprint": "sha256:2b606142ce0486ae2665e0c8e105c31b57cd78c190a58e3cc03a59f9b5622988", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003134", "prompt": "Find x: 27x + 91082 = x", "solution_steps": ["Subtract x from both sides: 26x + 91082 = 0", "Subtract 91082 from both sides: 26x = -91082", "Divide both sides by 26: x = -45541/13"], "final_answer": "-45541/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x + 91082 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 91082}", "seed": "17528501529861411685", "semantic_fingerprint": "sha256:ca5d98907495981322fb8a5b16e5ffbbfdcbe2bdbbe012ec7c29f1767f8fa3bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003135", "prompt": "Calculate: 16976 * (-8171 + 52835 / (-6766))", "solution_steps": ["Divide: 52835 / (-6766) = -52835/6766", "Add: -8171 + (-52835/6766) = -55337821/6766", "Multiply: 16976 * (-55337821/6766) = -469707424648/3383"], "final_answer": "-469707424648/3383", "answer_type": "rational", "kind": "expression", "math_text": "16976 * (-8171 + 52835 / (-6766))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16976, \"b\": -8171, \"c\": 52835, \"d\": -6766}", "seed": "6268628981285204121", "semantic_fingerprint": "sha256:5b9aa25eee34b78c79a580c401eb31a8a241d54d8abe26be62a78f73fe6d707a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003136", "prompt": "What is 87069 * (-2136 - 4284 + (-15795)) / 35681?", "solution_steps": ["Subtract: -2136 - 4284 = -6420", "Add: -6420 + (-15795) = -22215", "Multiply: 87069 * (-22215) = -1934237835", "Divide: -1934237835 / 35681 = -1934237835/35681"], "final_answer": "-1934237835/35681", "answer_type": "rational", "kind": "expression", "math_text": "87069 * (-2136 - 4284 + (-15795)) / 35681", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 87069, \"b\": -2136, \"c\": 4284, \"d\": -15795, \"e\": 35681}", "seed": "9270237130315674589", "semantic_fingerprint": "sha256:f0596b064474e92d4ad6769cc1f53d47e13035993766ab4f774618595f09a701", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003137", "prompt": "Calculate: 7361 + 7305 - (-9724)", "solution_steps": ["Add: 7361 + 7305 = 14666", "Subtract: 14666 - (-9724) = 24390"], "final_answer": "24390", "answer_type": "integer", "kind": "expression", "math_text": "7361 + 7305 - (-9724)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7361, \"b\": 7305, \"c\": -9724}", "seed": "8022908194530182443", "semantic_fingerprint": "sha256:10993c4ce7c542c0938abe54f0fd2e330732d753451785ff5502b56655a48de1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003138", "prompt": "What is 51509 - (-1370 + 4915 / (-3043))?", "solution_steps": ["Divide: 4915 / (-3043) = -4915/3043", "Add: -1370 + (-4915/3043) = -4173825/3043", "Subtract: 51509 - (-4173825/3043) = 160915712/3043"], "final_answer": "160915712/3043", "answer_type": "rational", "kind": "expression", "math_text": "51509 - (-1370 + 4915 / (-3043))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 51509, \"b\": -1370, \"c\": 4915, \"d\": -3043}", "seed": "2724147609666089621", "semantic_fingerprint": "sha256:3de40ced04989e7b3308e2dd53a27f2db6d39fe02bf32d4e4e7ed3fc8d4eeb06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003139", "prompt": "What is -37086 - 46430?", "solution_steps": ["Subtract: -37086 - 46430 = -83516"], "final_answer": "-83516", "answer_type": "integer", "kind": "expression", "math_text": "-37086 - 46430", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -37086, \"b\": 46430}", "seed": "17125401072329250598", "semantic_fingerprint": "sha256:907e6472f82771c85a715374b27221d611ceb014de1f6a7f8811071df3f538d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003140", "prompt": "What is 2242 + (-4823) + (55588 * 11677 - (-3627 + 47962))?", "solution_steps": ["Add: 2242 + (-4823) = -2581", "Multiply: 55588 * 11677 = 649101076", "Add: -3627 + 47962 = 44335", "Subtract: 649101076 - 44335 = 649056741", "Add: -2581 + 649056741 = 649054160"], "final_answer": "649054160", "answer_type": "integer", "kind": "expression", "math_text": "2242 + (-4823) + (55588 * 11677 - (-3627 + 47962))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (* n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2242, \"b\": -4823, \"c\": 55588, \"d\": 11677, \"e\": -3627, \"f\": 47962}", "seed": "2764167527853234881", "semantic_fingerprint": "sha256:cd170625b0bc61e9d1c0f688222a41512793fc9291296c6a501a814aaf8ed63a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003141", "prompt": "Compute: 9134 - (2125 - 17959)", "solution_steps": ["Subtract: 2125 - 17959 = -15834", "Subtract: 9134 - (-15834) = 24968"], "final_answer": "24968", "answer_type": "integer", "kind": "expression", "math_text": "9134 - (2125 - 17959)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9134, \"b\": 2125, \"c\": 17959}", "seed": "841320354406557287", "semantic_fingerprint": "sha256:fd7da9eedeb33707c1c5a9ec17c3a17ecb2cc43ff8224a3eac01c47052c9ff3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003142", "prompt": "What is 5258 * (-1510 - (4389 - (-29226) * (-1417))) / (-6357)?", "solution_steps": ["Multiply: -29226 * (-1417) = 41413242", "Subtract: 4389 - 41413242 = -41408853", "Subtract: -1510 - (-41408853) = 41407343", "Multiply: 5258 * 41407343 = 217719809494", "Divide: 217719809494 / (-6357) = -217719809494/6357"], "final_answer": "-217719809494/6357", "answer_type": "rational", "kind": "expression", "math_text": "5258 * (-1510 - (4389 - (-29226) * (-1417))) / (-6357)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- n (- n (* n n)))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5258, \"b\": -1510, \"c\": 4389, \"d\": -29226, \"e\": -1417, \"f\": -6357}", "seed": "2500603860857450027", "semantic_fingerprint": "sha256:d564e2c437637e87683952172f1e45e32ecc28c959938814e7e03c9c679377df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003143", "prompt": "Evaluate: 2549 * (-2184) * (96993 / (-1238)) - 6232", "solution_steps": ["Multiply: 2549 * (-2184) = -5567016", "Divide: 96993 / (-1238) = -96993/1238", "Multiply: -5567016 * (-96993/1238) = 269980791444/619", "Subtract: 269980791444/619 - 6232 = 269976933836/619"], "final_answer": "269976933836/619", "answer_type": "rational", "kind": "expression", "math_text": "2549 * (-2184) * (96993 / (-1238)) - 6232", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2549, \"b\": -2184, \"c\": 96993, \"d\": -1238, \"e\": 6232}", "seed": "17246408558682185902", "semantic_fingerprint": "sha256:dd4320a0e6045638278b26280f4a109cb70065c28cc88dc794370b599e7b2711", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003144", "prompt": "Solve for x: -38x = x", "solution_steps": ["Subtract x from both sides: -39x = 0", "Divide both sides by -39: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38}", "seed": "9694957864675358941", "semantic_fingerprint": "sha256:128382322bf953843c6554245af18d931710f0260a3ec16acdc41aa387a47c76", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003145", "prompt": "Solve for x: 24x = x + 2208", "solution_steps": ["Subtract x from both sides: 23x = 2208", "Divide both sides by 23: x = 96"], "final_answer": "96", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x = x + 2208", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": 2208, \"x\": 96}", "seed": "15654215548309923150", "semantic_fingerprint": "sha256:c0727b71dd097d7abab5f8939932d06002a537b98d4ce84df0147daa4252154d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003146", "prompt": "Compute: 3464 / (-88403 / 1720)", "solution_steps": ["Divide: -88403 / 1720 = -88403/1720", "Divide: 3464 / (-88403/1720) = -5958080/88403"], "final_answer": "-5958080/88403", "answer_type": "rational", "kind": "expression", "math_text": "3464 / (-88403 / 1720)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3464, \"b\": -88403, \"c\": 1720}", "seed": "856644744388207142", "semantic_fingerprint": "sha256:0e8e53bddb8eff4fbaf57f7f30f98d8f1e0e9d168f978a3162fd88df431ea96b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003147", "prompt": "Solve the equation 35x + 4336 = 34(x - 5504) + 73346 for x.", "solution_steps": ["Expand: 35x + 4336 = 34x - 187136 + 73346", "Combine constants: 35x + 4336 = 34x - 113790", "Subtract 34x from both sides: x + 4336 = -113790", "Subtract 4336 from both sides: x = -118126"], "final_answer": "-118126", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 4336 = 34(x - 5504) + 73346", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 4336, \"c\": 34, \"d\": 5504, \"e\": 73346}", "seed": "11335090541553061835", "semantic_fingerprint": "sha256:92c7958e03deacbb608c102243de305761b3a2c12b7e6db9c0c1aeee12b87659", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003148", "prompt": "Find x: 15(x + 90147) + 7671 = -21(x + 58617) + 7926", "solution_steps": ["Expand: 15x + 1352205 + 7671 = -21(x + 58617) + 7926", "Expand: 15x + 1352205 + 7671 = -21x - 1230957 + 7926", "Combine constants: 15x + 1359876 = -21x - 1230957 + 7926", "Combine constants: 15x + 1359876 = -21x - 1223031", "Add 21x to both sides: 36x + 1359876 = -1223031", "Subtract 1359876 from both sides: 36x = -2582907", "Divide both sides by 36: x = -860969/12"], "final_answer": "-860969/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 90147) + 7671 = -21(x + 58617) + 7926", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 90147, \"c\": 7671, \"d\": -21, \"e\": 58617, \"f\": 7926}", "seed": "1358971378935426162", "semantic_fingerprint": "sha256:7fcd05a5dd81f2cca6144ebbb5fb709e425434685d43f791c73f673c209b8943", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003149", "prompt": "Compute: (87666 + 4209 - (-19697)) / (7366 + 69583) - 1170", "solution_steps": ["Add: 87666 + 4209 = 91875", "Subtract: 91875 - (-19697) = 111572", "Add: 7366 + 69583 = 76949", "Divide: 111572 / 76949 = 111572/76949", "Subtract: 111572/76949 - 1170 = -89918758/76949"], "final_answer": "-89918758/76949", "answer_type": "rational", "kind": "expression", "math_text": "(87666 + 4209 - (-19697)) / (7366 + 69583) - 1170", "variable": null, "family": "expression_5op", "shape": "(- (/ (- (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 87666, \"b\": 4209, \"c\": -19697, \"d\": 7366, \"e\": 69583, \"f\": 1170}", "seed": "17372058934539545877", "semantic_fingerprint": "sha256:93c09ad6d6df509dd3acaa10a0457200ee4c32487731a6432adfaf8911386c89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003150", "prompt": "Compute: 61601 - 3595", "solution_steps": ["Subtract: 61601 - 3595 = 58006"], "final_answer": "58006", "answer_type": "integer", "kind": "expression", "math_text": "61601 - 3595", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 61601, \"b\": 3595}", "seed": "8808104303991388771", "semantic_fingerprint": "sha256:d843cd70a9b47cb9bc2ef68242f1499c2e9f85278c70c398194b06f7075e5e6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003151", "prompt": "Calculate: -7979 * 32236 - 4609", "solution_steps": ["Multiply: -7979 * 32236 = -257211044", "Subtract: -257211044 - 4609 = -257215653"], "final_answer": "-257215653", "answer_type": "integer", "kind": "expression", "math_text": "-7979 * 32236 - 4609", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7979, \"b\": 32236, \"c\": 4609}", "seed": "9082909678445637436", "semantic_fingerprint": "sha256:7a6fda46f8845ca257eb2fe92e9f4da5a8d0eabb730d4c6a78d95d016bb41927", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003152", "prompt": "What is -6562 / (-89615) + (-3337) + (-3468)?", "solution_steps": ["Divide: -6562 / (-89615) = 6562/89615", "Add: 6562/89615 + (-3337) = -299038693/89615", "Add: -299038693/89615 + (-3468) = -609823513/89615"], "final_answer": "-609823513/89615", "answer_type": "rational", "kind": "expression", "math_text": "-6562 / (-89615) + (-3337) + (-3468)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6562, \"b\": -89615, \"c\": -3337, \"d\": -3468}", "seed": "11696112137523004136", "semantic_fingerprint": "sha256:96e797e01e147f1b744f1fd1947437c648dd31064c86d6d8f1736c9b807f4dfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003153", "prompt": "What value of x satisfies -14(x - 7457) - 33939 = 21(x + 2107) + 32197?", "solution_steps": ["Expand: -14x + 104398 - 33939 = 21(x + 2107) + 32197", "Expand: -14x + 104398 - 33939 = 21x + 44247 + 32197", "Combine constants: -14x + 70459 = 21x + 44247 + 32197", "Combine constants: -14x + 70459 = 21x + 76444", "Subtract 21x from both sides: -35x + 70459 = 76444", "Subtract 70459 from both sides: -35x = 5985", "Divide both sides by -35: x = -171"], "final_answer": "-171", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14(x - 7457) - 33939 = 21(x + 2107) + 32197", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 7457, \"c\": 33939, \"d\": 21, \"e\": 2107, \"g\": 32197, \"x\": -171}", "seed": "9938117538670844120", "semantic_fingerprint": "sha256:736f55a8382b4ce8d45024610ecc5f8310480ba118fe94f88855749285949d18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003154", "prompt": "Evaluate: (5432 - 69494) * (8313 - 34400)", "solution_steps": ["Subtract: 5432 - 69494 = -64062", "Subtract: 8313 - 34400 = -26087", "Multiply: -64062 * (-26087) = 1671185394"], "final_answer": "1671185394", "answer_type": "integer", "kind": "expression", "math_text": "(5432 - 69494) * (8313 - 34400)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5432, \"b\": 69494, \"c\": 8313, \"d\": 34400}", "seed": "11007495208583237553", "semantic_fingerprint": "sha256:9abf7ad639958488e9606965790dccf56cf1376c858b142b2ee0c7d044b7693b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003155", "prompt": "Evaluate: -4118 * (-4670 + 3084 + 8677)", "solution_steps": ["Add: -4670 + 3084 = -1586", "Add: -1586 + 8677 = 7091", "Multiply: -4118 * 7091 = -29200738"], "final_answer": "-29200738", "answer_type": "integer", "kind": "expression", "math_text": "-4118 * (-4670 + 3084 + 8677)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4118, \"b\": -4670, \"c\": 3084, \"d\": 8677}", "seed": "1837075079480620164", "semantic_fingerprint": "sha256:5b78459ceaa1d3aa33999a9b3062976206e7cde760586b83516fe8d29b649c92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003156", "prompt": "Solve the equation x = 23x - 87538 for x.", "solution_steps": ["Subtract 23x from both sides: -22x = -87538", "Divide both sides by -22: x = 3979"], "final_answer": "3979", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 23x - 87538", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 87538}", "seed": "85635799662027611", "semantic_fingerprint": "sha256:066acd2d0b017fd012caf8b4a36c8dd4ce5870e29cb22cfa3b0ca2965443ee5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003157", "prompt": "Compute: 56956 * (57151 / (-16763)) - (-4125)", "solution_steps": ["Divide: 57151 / (-16763) = -57151/16763", "Multiply: 56956 * (-57151/16763) = -3255092356/16763", "Subtract: -3255092356/16763 - (-4125) = -3185944981/16763"], "final_answer": "-3185944981/16763", "answer_type": "rational", "kind": "expression", "math_text": "56956 * (57151 / (-16763)) - (-4125)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 56956, \"b\": 57151, \"c\": -16763, \"d\": -4125}", "seed": "7100003572505755352", "semantic_fingerprint": "sha256:031ee615da860e684145dc453977a0843f2ad7762824657bdc634415d4e8daf6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003158", "prompt": "Find x: -29x = x - 2940", "solution_steps": ["Subtract x from both sides: -30x = -2940", "Divide both sides by -30: x = 98"], "final_answer": "98", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x = x - 2940", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"c\": -2940, \"x\": 98}", "seed": "13198029549625463592", "semantic_fingerprint": "sha256:288298d8f8f992006e779c018bbf659cb753424c30cd8e879322b39da2058246", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003159", "prompt": "What is 63634 - 24524?", "solution_steps": ["Subtract: 63634 - 24524 = 39110"], "final_answer": "39110", "answer_type": "integer", "kind": "expression", "math_text": "63634 - 24524", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 63634, \"b\": 24524}", "seed": "9319258060798570153", "semantic_fingerprint": "sha256:cb63006f098ae12e39be578a4d0a3025a349d6bae6de31ad1584778042dafd42", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003160", "prompt": "Find x: 21x + 1072 = x + 15648", "solution_steps": ["Subtract x from both sides: 20x + 1072 = 15648", "Subtract 1072 from both sides: 20x = 14576", "Divide both sides by 20: x = 3644/5"], "final_answer": "3644/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x + 1072 = x + 15648", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 1072, \"c\": 15648}", "seed": "1126492532796397213", "semantic_fingerprint": "sha256:42e33f012209924fc56070c584eb42c6020d5ddbcc9cdea12d21faf43e34d89f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003161", "prompt": "Calculate: 6144 * (-3125)", "solution_steps": ["Multiply: 6144 * (-3125) = -19200000"], "final_answer": "-19200000", "answer_type": "integer", "kind": "expression", "math_text": "6144 * (-3125)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6144, \"b\": -3125}", "seed": "17274493240160013762", "semantic_fingerprint": "sha256:6e24b37788db3cb74fcc4c9a0378ac0a298f3637cf45d8f1725d6eb7d2d4d707", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003162", "prompt": "Compute: -7155 / (-50681 + (-8859))", "solution_steps": ["Add: -50681 + (-8859) = -59540", "Divide: -7155 / (-59540) = 1431/11908"], "final_answer": "1431/11908", "answer_type": "rational", "kind": "expression", "math_text": "-7155 / (-50681 + (-8859))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7155, \"b\": -50681, \"c\": -8859}", "seed": "16050391180024226591", "semantic_fingerprint": "sha256:e9bc2ea177d7b55b9c6a78925aa26314db8d0f7ac6d6d8b9316d1a3f1b599553", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003163", "prompt": "What value of x satisfies -18x + 45172 = 31(x - 36017) - 76639?", "solution_steps": ["Expand: -18x + 45172 = 31x - 1116527 - 76639", "Combine constants: -18x + 45172 = 31x - 1193166", "Subtract 31x from both sides: -49x + 45172 = -1193166", "Subtract 45172 from both sides: -49x = -1238338", "Divide both sides by -49: x = 1238338/49"], "final_answer": "1238338/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18x + 45172 = 31(x - 36017) - 76639", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 45172, \"c\": 31, \"d\": 36017, \"e\": 76639}", "seed": "4647301680262861882", "semantic_fingerprint": "sha256:775591acf30f90b0e9363f16f76035174d388c02bf5a0fa45f93ecb1b6895e17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003164", "prompt": "Find x: 37(x + 3354) = 16(x + 3981) + 62565", "solution_steps": ["Expand: 37x + 124098 = 16(x + 3981) + 62565", "Expand: 37x + 124098 = 16x + 63696 + 62565", "Combine constants: 37x + 124098 = 16x + 126261", "Subtract 16x from both sides: 21x + 124098 = 126261", "Subtract 124098 from both sides: 21x = 2163", "Divide both sides by 21: x = 103"], "final_answer": "103", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x + 3354) = 16(x + 3981) + 62565", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 3354, \"c\": 16, \"d\": 3981, \"f\": 62565, \"x\": 103}", "seed": "10588733829143246408", "semantic_fingerprint": "sha256:72d976ff4af0b40a0c7a7309e319cce6edb50787e765a31d7118bfe177a23fb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003165", "prompt": "Solve for x: -40x = 16x + 7952", "solution_steps": ["Subtract 16x from both sides: -56x = 7952", "Divide both sides by -56: x = -142"], "final_answer": "-142", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40x = 16x + 7952", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 16, \"d\": 7952, \"x\": -142}", "seed": "10775455541446200796", "semantic_fingerprint": "sha256:1af610b4e0c2880bbc82eff7f2d456943d9116c94099be6f9fb7f3c00dcdb25f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003166", "prompt": "What is -93485 / 7150?", "solution_steps": ["Divide: -93485 / 7150 = -18697/1430"], "final_answer": "-18697/1430", "answer_type": "rational", "kind": "expression", "math_text": "-93485 / 7150", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -93485, \"b\": 7150}", "seed": "6351074987002152133", "semantic_fingerprint": "sha256:186a90012dec1482d9e76e7d79a0a9f7222bd62290d6eccb961b4145ce0eda30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003167", "prompt": "Compute: 8910 * (-1892) - (-4952)", "solution_steps": ["Multiply: 8910 * (-1892) = -16857720", "Subtract: -16857720 - (-4952) = -16852768"], "final_answer": "-16852768", "answer_type": "integer", "kind": "expression", "math_text": "8910 * (-1892) - (-4952)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8910, \"b\": -1892, \"c\": -4952}", "seed": "9575061732593723331", "semantic_fingerprint": "sha256:d841accbc80a191d4d0cfbfac6e6d450006a5cddd582366abd12bd2f573fb0e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003168", "prompt": "Evaluate: 88384 - (-7745) - (-4191) * 95785 + (-9752)", "solution_steps": ["Subtract: 88384 - (-7745) = 96129", "Multiply: -4191 * 95785 = -401434935", "Subtract: 96129 - (-401434935) = 401531064", "Add: 401531064 + (-9752) = 401521312"], "final_answer": "401521312", "answer_type": "integer", "kind": "expression", "math_text": "88384 - (-7745) - (-4191) * 95785 + (-9752)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 88384, \"b\": -7745, \"c\": -4191, \"d\": 95785, \"e\": -9752}", "seed": "8804574946050451538", "semantic_fingerprint": "sha256:ab0bf7218e53cdd80761e552ed1ea6b5f419443a5b7598802d6ce7b581f9e018", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003169", "prompt": "Solve the equation 18x + 2503 = 17(x + 5875) - 97548 for x.", "solution_steps": ["Expand: 18x + 2503 = 17x + 99875 - 97548", "Combine constants: 18x + 2503 = 17x + 2327", "Subtract 17x from both sides: x + 2503 = 2327", "Subtract 2503 from both sides: x = -176"], "final_answer": "-176", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x + 2503 = 17(x + 5875) - 97548", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2503, \"c\": 17, \"d\": 5875, \"f\": -97548, \"x\": -176}", "seed": "9124268421857969101", "semantic_fingerprint": "sha256:59954490d5ac93ef0ca0e96a38d63f53ce88e25a64c9cf984a1187cb3fd14fd8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003170", "prompt": "What is 2582 + 61319 * (-33736 / (-11411))?", "solution_steps": ["Divide: -33736 / (-11411) = 33736/11411", "Multiply: 61319 * (33736/11411) = 2068657784/11411", "Add: 2582 + 2068657784/11411 = 2098120986/11411"], "final_answer": "2098120986/11411", "answer_type": "rational", "kind": "expression", "math_text": "2582 + 61319 * (-33736 / (-11411))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2582, \"b\": 61319, \"c\": -33736, \"d\": -11411}", "seed": "8674588263594063611", "semantic_fingerprint": "sha256:188b54d1c4af3223bb64b92bd102a2686985ecfa51ea80ac4979fc8d277a3d2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003171", "prompt": "Compute: -3545 / (-9128) - (-2082)", "solution_steps": ["Divide: -3545 / (-9128) = 3545/9128", "Subtract: 3545/9128 - (-2082) = 19008041/9128"], "final_answer": "19008041/9128", "answer_type": "rational", "kind": "expression", "math_text": "-3545 / (-9128) - (-2082)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3545, \"b\": -9128, \"c\": -2082}", "seed": "12498338914126821900", "semantic_fingerprint": "sha256:1f8389fcb625e59a2b600b7808036984bf6bb43a0b9e7b404e29ce11ddf5cda3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003172", "prompt": "What is (3237 + (-3336)) * (-6558 + 71650)?", "solution_steps": ["Add: 3237 + (-3336) = -99", "Add: -6558 + 71650 = 65092", "Multiply: -99 * 65092 = -6444108"], "final_answer": "-6444108", "answer_type": "integer", "kind": "expression", "math_text": "(3237 + (-3336)) * (-6558 + 71650)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3237, \"b\": -3336, \"c\": -6558, \"d\": 71650}", "seed": "742577740047424045", "semantic_fingerprint": "sha256:87c72df9227c0bfa5df58e784219e4ab4005e9341d26ed9ec2accd85dc9b1e11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003173", "prompt": "What is 64817 - (-71290 + (-6389) - 3553 * 89550)?", "solution_steps": ["Add: -71290 + (-6389) = -77679", "Multiply: 3553 * 89550 = 318171150", "Subtract: -77679 - 318171150 = -318248829", "Subtract: 64817 - (-318248829) = 318313646"], "final_answer": "318313646", "answer_type": "integer", "kind": "expression", "math_text": "64817 - (-71290 + (-6389) - 3553 * 89550)", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 64817, \"b\": -71290, \"c\": -6389, \"d\": 3553, \"e\": 89550}", "seed": "10606890315321418935", "semantic_fingerprint": "sha256:4808a1098342f7c40a24c50dd0f38793cd9dcea10bbec317aca001f427c7fbdb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003174", "prompt": "Evaluate: (8245 - (-51483)) * 8669", "solution_steps": ["Subtract: 8245 - (-51483) = 59728", "Multiply: 59728 * 8669 = 517782032"], "final_answer": "517782032", "answer_type": "integer", "kind": "expression", "math_text": "(8245 - (-51483)) * 8669", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8245, \"b\": -51483, \"c\": 8669}", "seed": "11810715465097517152", "semantic_fingerprint": "sha256:4eabbebb752d652e6553eb44eeffd41e0bc2874477ef744a00fed62d1356d4cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003175", "prompt": "Compute: (-2532 - 99677) / (1673 - 2476)", "solution_steps": ["Subtract: -2532 - 99677 = -102209", "Subtract: 1673 - 2476 = -803", "Divide: -102209 / (-803) = 102209/803"], "final_answer": "102209/803", "answer_type": "rational", "kind": "expression", "math_text": "(-2532 - 99677) / (1673 - 2476)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2532, \"b\": 99677, \"c\": 1673, \"d\": 2476}", "seed": "16680545382748440957", "semantic_fingerprint": "sha256:eb3679e73ee521a7cb5a4229d8aed3f498d61b838c8e27ab3ee6141d0a14542d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003176", "prompt": "Compute: 7570 + (-9220)", "solution_steps": ["Add: 7570 + (-9220) = -1650"], "final_answer": "-1650", "answer_type": "integer", "kind": "expression", "math_text": "7570 + (-9220)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7570, \"b\": -9220}", "seed": "10030119425963947138", "semantic_fingerprint": "sha256:c9484f8b643c6adac56790e0eeac624cb297b4526003fe370313b1b0cdf1919a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003177", "prompt": "Solve the equation 15(x + 7187) + 40800 = x - 9546 for x.", "solution_steps": ["Expand: 15x + 107805 + 40800 = x - 9546", "Combine constants: 15x + 148605 = x - 9546", "Subtract x from both sides: 14x + 148605 = -9546", "Subtract 148605 from both sides: 14x = -158151", "Divide both sides by 14: x = -22593/2"], "final_answer": "-22593/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 7187) + 40800 = x - 9546", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 7187, \"c\": 40800, \"d\": 9546}", "seed": "17602094859534910009", "semantic_fingerprint": "sha256:bb941c07283d4f1e0df8c85cf05e487a424a6df5cd2faab30aec053128c9915d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003178", "prompt": "Calculate: (-37783 - 66085) / (-66954) - (-5553)", "solution_steps": ["Subtract: -37783 - 66085 = -103868", "Divide: -103868 / (-66954) = 51934/33477", "Subtract: 51934/33477 - (-5553) = 185949715/33477"], "final_answer": "185949715/33477", "answer_type": "rational", "kind": "expression", "math_text": "(-37783 - 66085) / (-66954) - (-5553)", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37783, \"b\": 66085, \"c\": -66954, \"d\": -5553}", "seed": "2102616298259922", "semantic_fingerprint": "sha256:d0ccf1132168f2f3e011c28c8bc804240a0646a610f2b66bc56aa3fa359ef95e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003179", "prompt": "Compute: (8380 - 6888) / (-4186)", "solution_steps": ["Subtract: 8380 - 6888 = 1492", "Divide: 1492 / (-4186) = -746/2093"], "final_answer": "-746/2093", "answer_type": "rational", "kind": "expression", "math_text": "(8380 - 6888) / (-4186)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8380, \"b\": 6888, \"c\": -4186}", "seed": "2922049154287045994", "semantic_fingerprint": "sha256:70238184aca6c854589137058bf90709805079905cc830ebf985cc3ed4c15b00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003180", "prompt": "Calculate: 91846 + (2751 - 8378)", "solution_steps": ["Subtract: 2751 - 8378 = -5627", "Add: 91846 + (-5627) = 86219"], "final_answer": "86219", "answer_type": "integer", "kind": "expression", "math_text": "91846 + (2751 - 8378)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91846, \"b\": 2751, \"c\": 8378}", "seed": "29688115162623151", "semantic_fingerprint": "sha256:7bc4885d9ed7c2a1745c97f98dafce4cf967f55c4bcd5b12ff0127baae9b5bf7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003181", "prompt": "Compute: 1593 / (-64252)", "solution_steps": ["Divide: 1593 / (-64252) = -1593/64252"], "final_answer": "-1593/64252", "answer_type": "rational", "kind": "expression", "math_text": "1593 / (-64252)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1593, \"b\": -64252}", "seed": "13830169641133714669", "semantic_fingerprint": "sha256:3c0e88999429365f529f6318042ca852a43662d8f5c20c8c9d8638810dde0510", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003182", "prompt": "What value of x satisfies x + 5903 = 5958?", "solution_steps": ["Subtract 5903 from both sides: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5903 = 5958", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5903, \"c\": 5958, \"x\": 55}", "seed": "14045448355958782415", "semantic_fingerprint": "sha256:9248162b04a9fa42dfddda5ec1abbc508b429fc0b7c7322c36d9b0c0db1237fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003183", "prompt": "Calculate: -9662 * (-1205 / 81317)", "solution_steps": ["Divide: -1205 / 81317 = -1205/81317", "Multiply: -9662 * (-1205/81317) = 11642710/81317"], "final_answer": "11642710/81317", "answer_type": "rational", "kind": "expression", "math_text": "-9662 * (-1205 / 81317)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9662, \"b\": -1205, \"c\": 81317}", "seed": "1769923897773044768", "semantic_fingerprint": "sha256:945de0e8fd0644333b9c9a78265ed8f27cae19f8ea7d2e13ea472892d1943970", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003184", "prompt": "Solve for x: 22(x - 9302) = 28(x - 94703)", "solution_steps": ["Expand: 22x - 204644 = 28(x - 94703)", "Expand: 22x - 204644 = 28x - 2651684", "Subtract 28x from both sides: -6x - 204644 = -2651684", "Add 204644 to both sides: -6x = -2447040", "Divide both sides by -6: x = 407840"], "final_answer": "407840", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x - 9302) = 28(x - 94703)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 9302, \"c\": 28, \"d\": 94703}", "seed": "8140789272216238509", "semantic_fingerprint": "sha256:3d1cf5ca38f4626df4d96359f88cf5c9fcface0683c0740001452465eb95f213", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003185", "prompt": "Evaluate: -6879 + (-2993) / (-2514)", "solution_steps": ["Divide: -2993 / (-2514) = 2993/2514", "Add: -6879 + 2993/2514 = -17290813/2514"], "final_answer": "-17290813/2514", "answer_type": "rational", "kind": "expression", "math_text": "-6879 + (-2993) / (-2514)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6879, \"b\": -2993, \"c\": -2514}", "seed": "16955722546334342312", "semantic_fingerprint": "sha256:f18e08468c76ce04f3607d04785af7fcdfaea60b8e4f2ef8efd34b0ad6a1e8d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003186", "prompt": "Compute: 1535 * 6201 - 37997", "solution_steps": ["Multiply: 1535 * 6201 = 9518535", "Subtract: 9518535 - 37997 = 9480538"], "final_answer": "9480538", "answer_type": "integer", "kind": "expression", "math_text": "1535 * 6201 - 37997", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1535, \"b\": 6201, \"c\": 37997}", "seed": "16327337890750200518", "semantic_fingerprint": "sha256:2410e0487a32291ecd089096a95a01c81d1355a324ac623f6701b679dfe6992e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003187", "prompt": "Calculate: (-6196 + 4485) / (-1503)", "solution_steps": ["Add: -6196 + 4485 = -1711", "Divide: -1711 / (-1503) = 1711/1503"], "final_answer": "1711/1503", "answer_type": "rational", "kind": "expression", "math_text": "(-6196 + 4485) / (-1503)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6196, \"b\": 4485, \"c\": -1503}", "seed": "14226799763515786739", "semantic_fingerprint": "sha256:f4c15f44a8e77b0a94745281c68a34eea8068454f20fd2588da43e28fc4b8090", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003188", "prompt": "Calculate: -93880 * 50083", "solution_steps": ["Multiply: -93880 * 50083 = -4701792040"], "final_answer": "-4701792040", "answer_type": "integer", "kind": "expression", "math_text": "-93880 * 50083", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -93880, \"b\": 50083}", "seed": "16664704013358594774", "semantic_fingerprint": "sha256:83d946d0b32e18b6120422250c14bde143d1f8a6286f56603a161ca5bf3df9d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003189", "prompt": "Evaluate: -21062 + 6244 / (-7437 - (78752 + 6071))", "solution_steps": ["Add: 78752 + 6071 = 84823", "Subtract: -7437 - 84823 = -92260", "Divide: 6244 / (-92260) = -223/3295", "Add: -21062 + (-223/3295) = -69399513/3295"], "final_answer": "-69399513/3295", "answer_type": "rational", "kind": "expression", "math_text": "-21062 + 6244 / (-7437 - (78752 + 6071))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (- n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21062, \"b\": 6244, \"c\": -7437, \"d\": 78752, \"e\": 6071}", "seed": "3537083187670298860", "semantic_fingerprint": "sha256:af9f704f196e309d3615252a77eba2d7cd286c3ffcab27f9879d87185e6f73c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003190", "prompt": "Compute: 8518 * 6295 / (2791 - 91044)", "solution_steps": ["Multiply: 8518 * 6295 = 53620810", "Subtract: 2791 - 91044 = -88253", "Divide: 53620810 / (-88253) = -53620810/88253"], "final_answer": "-53620810/88253", "answer_type": "rational", "kind": "expression", "math_text": "8518 * 6295 / (2791 - 91044)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8518, \"b\": 6295, \"c\": 2791, \"d\": 91044}", "seed": "6500723654839380009", "semantic_fingerprint": "sha256:0094e6e2e078fb4bf6cf5ebe5a5bb443c6bb44aa3c715cadaafdf22f7c657f53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003191", "prompt": "Calculate: 5772 * (-5979) * (-2306)", "solution_steps": ["Multiply: 5772 * (-5979) = -34510788", "Multiply: -34510788 * (-2306) = 79581877128"], "final_answer": "79581877128", "answer_type": "integer", "kind": "expression", "math_text": "5772 * (-5979) * (-2306)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5772, \"b\": -5979, \"c\": -2306}", "seed": "13239514032643366858", "semantic_fingerprint": "sha256:a5351f26905f0b708ceb7e1883cb4540811f9c9755bb53f3a9d80cdf2ba3f2d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003192", "prompt": "Compute: (7355 + 2824) / 5482 * (-1487)", "solution_steps": ["Add: 7355 + 2824 = 10179", "Divide: 10179 / 5482 = 10179/5482", "Multiply: (10179/5482) * (-1487) = -15136173/5482"], "final_answer": "-15136173/5482", "answer_type": "rational", "kind": "expression", "math_text": "(7355 + 2824) / 5482 * (-1487)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7355, \"b\": 2824, \"c\": 5482, \"d\": -1487}", "seed": "7748373865348147709", "semantic_fingerprint": "sha256:15f7b15cb75498ac6f7b5f1eaf40ab63405126541109326db78621c5b8b06c0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003193", "prompt": "Evaluate: -7357 / (42872 / 3372)", "solution_steps": ["Divide: 42872 / 3372 = 10718/843", "Divide: -7357 / (10718/843) = -6201951/10718"], "final_answer": "-6201951/10718", "answer_type": "rational", "kind": "expression", "math_text": "-7357 / (42872 / 3372)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7357, \"b\": 42872, \"c\": 3372}", "seed": "9376741636674745281", "semantic_fingerprint": "sha256:10640a20e1a8027be8c3871f474da268e5fca6ff848084ea4fd6e5a5e17fbe6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003194", "prompt": "Compute: (-67498 - 43459) / 4519", "solution_steps": ["Subtract: -67498 - 43459 = -110957", "Divide: -110957 / 4519 = -110957/4519"], "final_answer": "-110957/4519", "answer_type": "rational", "kind": "expression", "math_text": "(-67498 - 43459) / 4519", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67498, \"b\": 43459, \"c\": 4519}", "seed": "9820469686503783930", "semantic_fingerprint": "sha256:118f4335bded63d3ed8caf1acf5dea4c049528083debcdd8646a174bc04feac7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003195", "prompt": "What value of x satisfies 17x + 90960 = 92065?", "solution_steps": ["Subtract 90960 from both sides: 17x = 1105", "Divide both sides by 17: x = 65"], "final_answer": "65", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 90960 = 92065", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 90960, \"d\": 92065, \"x\": 65}", "seed": "13789448696225343611", "semantic_fingerprint": "sha256:c0802996f65642196ca11d1cce336c33d46fc0258a4b1cf3f2d4fba1f798c8e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003196", "prompt": "Solve the equation 15(x + 64459) = x for x.", "solution_steps": ["Expand: 15x + 966885 = x", "Subtract x from both sides: 14x + 966885 = 0", "Subtract 966885 from both sides: 14x = -966885", "Divide both sides by 14: x = -966885/14"], "final_answer": "-966885/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 64459) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 64459}", "seed": "7764006789263657790", "semantic_fingerprint": "sha256:5ca0a376bdc50c46d7bd5e4716ac834d038ec3221772080fea39d28a874a3ba0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003197", "prompt": "Solve for x: 25(x - 5031) + 7445 = x + 6957", "solution_steps": ["Expand: 25x - 125775 + 7445 = x + 6957", "Combine constants: 25x - 118330 = x + 6957", "Subtract x from both sides: 24x - 118330 = 6957", "Add 118330 to both sides: 24x = 125287", "Divide both sides by 24: x = 125287/24"], "final_answer": "125287/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 5031) + 7445 = x + 6957", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 5031, \"c\": 7445, \"d\": 6957}", "seed": "14236982555104975030", "semantic_fingerprint": "sha256:337baf01246ad861ef10298d84d85692cb6f20f24665bd6dbb9b372897a4a876", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003198", "prompt": "Compute: 9169 + (76748 + 5054)", "solution_steps": ["Add: 76748 + 5054 = 81802", "Add: 9169 + 81802 = 90971"], "final_answer": "90971", "answer_type": "integer", "kind": "expression", "math_text": "9169 + (76748 + 5054)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9169, \"b\": 76748, \"c\": 5054}", "seed": "3754506500788090919", "semantic_fingerprint": "sha256:fc0b61f762e94dcb64d93618a06fb87ba90ab6a1063f71b26b3addac1fd75f30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003199", "prompt": "What is -92645 - (-98554) / (-4462 + 9179) + (-1242)?", "solution_steps": ["Add: -4462 + 9179 = 4717", "Divide: -98554 / 4717 = -98554/4717", "Subtract: -92645 - (-98554/4717) = -436907911/4717", "Add: -436907911/4717 + (-1242) = -442766425/4717"], "final_answer": "-442766425/4717", "answer_type": "rational", "kind": "expression", "math_text": "-92645 - (-98554) / (-4462 + 9179) + (-1242)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -92645, \"b\": -98554, \"c\": -4462, \"d\": 9179, \"e\": -1242}", "seed": "3707290406472090618", "semantic_fingerprint": "sha256:7df6323e00167b4a04ff3b764398964efbad18f74b363ad6d4995e95a4bc75d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003200", "prompt": "Find x: 14(x - 7286) = 34(x - 1252) - 7956", "solution_steps": ["Expand: 14x - 102004 = 34(x - 1252) - 7956", "Expand: 14x - 102004 = 34x - 42568 - 7956", "Combine constants: 14x - 102004 = 34x - 50524", "Subtract 34x from both sides: -20x - 102004 = -50524", "Add 102004 to both sides: -20x = 51480", "Divide both sides by -20: x = -2574"], "final_answer": "-2574", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 7286) = 34(x - 1252) - 7956", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 7286, \"c\": 34, \"d\": 1252, \"e\": 7956}", "seed": "14240639042257290053", "semantic_fingerprint": "sha256:9d24719695a9f01dfd00af93251e99746d9f14d6dcef50745271cdda2ab9e7f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003201", "prompt": "Find x: 14(x + 8116) - 6692 = 33(x - 51283) - 63352", "solution_steps": ["Expand: 14x + 113624 - 6692 = 33(x - 51283) - 63352", "Expand: 14x + 113624 - 6692 = 33x - 1692339 - 63352", "Combine constants: 14x + 106932 = 33x - 1692339 - 63352", "Combine constants: 14x + 106932 = 33x - 1755691", "Subtract 33x from both sides: -19x + 106932 = -1755691", "Subtract 106932 from both sides: -19x = -1862623", "Divide both sides by -19: x = 1862623/19"], "final_answer": "1862623/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 8116) - 6692 = 33(x - 51283) - 63352", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 8116, \"c\": 6692, \"d\": 33, \"e\": 51283, \"f\": 63352}", "seed": "3039134538108774583", "semantic_fingerprint": "sha256:99181b7b933c7f4ab5d3634458bce5027dd8a5fb115143b5bd2756a379900db3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003202", "prompt": "Evaluate: (29513 + 62953) / (-88110) - (-5167)", "solution_steps": ["Add: 29513 + 62953 = 92466", "Divide: 92466 / (-88110) = -467/445", "Subtract: -467/445 - (-5167) = 2298848/445"], "final_answer": "2298848/445", "answer_type": "rational", "kind": "expression", "math_text": "(29513 + 62953) / (-88110) - (-5167)", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29513, \"b\": 62953, \"c\": -88110, \"d\": -5167}", "seed": "505049969877539886", "semantic_fingerprint": "sha256:67f34b6e4a6dc570835ab9b24f9c9eff3c91435aade2e9a92360078105312337", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003203", "prompt": "Evaluate: 9703 * (-61587) - 6988 - 2973", "solution_steps": ["Multiply: 9703 * (-61587) = -597578661", "Subtract: -597578661 - 6988 = -597585649", "Subtract: -597585649 - 2973 = -597588622"], "final_answer": "-597588622", "answer_type": "integer", "kind": "expression", "math_text": "9703 * (-61587) - 6988 - 2973", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9703, \"b\": -61587, \"c\": 6988, \"d\": 2973}", "seed": "11969373250429099376", "semantic_fingerprint": "sha256:661ff601411dfdfbe0ca5d761f5af2e830fede239476143b45c208c757a2e105", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003204", "prompt": "Calculate: -5160 + (-3443) * 74807", "solution_steps": ["Multiply: -3443 * 74807 = -257560501", "Add: -5160 + (-257560501) = -257565661"], "final_answer": "-257565661", "answer_type": "integer", "kind": "expression", "math_text": "-5160 + (-3443) * 74807", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5160, \"b\": -3443, \"c\": 74807}", "seed": "4319894942819894395", "semantic_fingerprint": "sha256:41e9023717c126515d724136dd74102e548a7dbca216f31694831ac2f5cfc02c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003205", "prompt": "What is -2925 + (-1979) - 2583?", "solution_steps": ["Add: -2925 + (-1979) = -4904", "Subtract: -4904 - 2583 = -7487"], "final_answer": "-7487", "answer_type": "integer", "kind": "expression", "math_text": "-2925 + (-1979) - 2583", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2925, \"b\": -1979, \"c\": 2583}", "seed": "14632022593078572440", "semantic_fingerprint": "sha256:06d3480884923210d2c3f60647e378e7551428f80b1d61d861607d22367ec95f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003206", "prompt": "Calculate: 2620 + 4229", "solution_steps": ["Add: 2620 + 4229 = 6849"], "final_answer": "6849", "answer_type": "integer", "kind": "expression", "math_text": "2620 + 4229", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2620, \"b\": 4229}", "seed": "16591449365351040582", "semantic_fingerprint": "sha256:5cc07a21f5cfc6b9babb6b1583929be7a46c7d6857726f605eec5df78ace0250", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003207", "prompt": "What is (2978 + (-3053) * (-3443)) * 89914?", "solution_steps": ["Multiply: -3053 * (-3443) = 10511479", "Add: 2978 + 10511479 = 10514457", "Multiply: 10514457 * 89914 = 945396886698"], "final_answer": "945396886698", "answer_type": "integer", "kind": "expression", "math_text": "(2978 + (-3053) * (-3443)) * 89914", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2978, \"b\": -3053, \"c\": -3443, \"d\": 89914}", "seed": "12565918702158608047", "semantic_fingerprint": "sha256:507f5ac468aaaa712d98e257e1c493a858fc5d2fad2675c8b361b69271eee841", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003208", "prompt": "Compute: -62861 - (-4852) / (-49734)", "solution_steps": ["Divide: -4852 / (-49734) = 2426/24867", "Subtract: -62861 - 2426/24867 = -1563166913/24867"], "final_answer": "-1563166913/24867", "answer_type": "rational", "kind": "expression", "math_text": "-62861 - (-4852) / (-49734)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -62861, \"b\": -4852, \"c\": -49734}", "seed": "1856091891189059299", "semantic_fingerprint": "sha256:82105b866ab52f5041ca18594b8dc9bd9d06392b4d6e4498d87af5ee444883fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003209", "prompt": "Compute: 1298 - (4893 - 78097)", "solution_steps": ["Subtract: 4893 - 78097 = -73204", "Subtract: 1298 - (-73204) = 74502"], "final_answer": "74502", "answer_type": "integer", "kind": "expression", "math_text": "1298 - (4893 - 78097)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1298, \"b\": 4893, \"c\": 78097}", "seed": "15218399307412037191", "semantic_fingerprint": "sha256:decf658f93958e27d74e15943ee399d6738be7c87aa05f2e8c3b83966e76f653", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003210", "prompt": "Solve for x: -13(x - 44980) = 13(x + 4926)", "solution_steps": ["Expand: -13x + 584740 = 13(x + 4926)", "Expand: -13x + 584740 = 13x + 64038", "Subtract 13x from both sides: -26x + 584740 = 64038", "Subtract 584740 from both sides: -26x = -520702", "Divide both sides by -26: x = 20027"], "final_answer": "20027", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x - 44980) = 13(x + 4926)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 44980, \"c\": 13, \"d\": 4926}", "seed": "1595243918378350226", "semantic_fingerprint": "sha256:ff135552e4ec5cc3def4d093e0f8946ec7df72e8989837df9f27e8ff1b81a8e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003211", "prompt": "Find x: x + 7250 = 7392", "solution_steps": ["Subtract 7250 from both sides: x = 142"], "final_answer": "142", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7250 = 7392", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7250, \"c\": 7392, \"x\": 142}", "seed": "12898138042810288930", "semantic_fingerprint": "sha256:9a848ff08f99b73db7c0a20e4ccb5affed315a73d5160e5b438d87d167af37c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003212", "prompt": "What value of x satisfies 39x = x?", "solution_steps": ["Subtract x from both sides: 38x = 0", "Divide both sides by 38: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39}", "seed": "15922754927841600609", "semantic_fingerprint": "sha256:51caf8a2e7dfec2e2372b57382966701642b16df2182ff7b5331ddf7019439ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003213", "prompt": "Calculate: (1446 + 13266 - (-7258) + 1107) / 8756", "solution_steps": ["Add: 1446 + 13266 = 14712", "Subtract: 14712 - (-7258) = 21970", "Add: 21970 + 1107 = 23077", "Divide: 23077 / 8756 = 23077/8756"], "final_answer": "23077/8756", "answer_type": "rational", "kind": "expression", "math_text": "(1446 + 13266 - (-7258) + 1107) / 8756", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1446, \"b\": 13266, \"c\": -7258, \"d\": 1107, \"e\": 8756}", "seed": "7625411615062643308", "semantic_fingerprint": "sha256:a8e0f0ee1a1be2207a96d7769a5a92b1201bae2a894513d00337d82924aec900", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003214", "prompt": "Evaluate: (-4501 - 5674) * 5566", "solution_steps": ["Subtract: -4501 - 5674 = -10175", "Multiply: -10175 * 5566 = -56634050"], "final_answer": "-56634050", "answer_type": "integer", "kind": "expression", "math_text": "(-4501 - 5674) * 5566", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4501, \"b\": 5674, \"c\": 5566}", "seed": "8798514843468930548", "semantic_fingerprint": "sha256:7ceaf1fcf084542c75a8795aa891e5d7da8da136dc1b9b76df41204e24b4cfc7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003215", "prompt": "Calculate: (-64269 - (-48104)) * (-4336 + 5909) - 8818", "solution_steps": ["Subtract: -64269 - (-48104) = -16165", "Add: -4336 + 5909 = 1573", "Multiply: -16165 * 1573 = -25427545", "Subtract: -25427545 - 8818 = -25436363"], "final_answer": "-25436363", "answer_type": "integer", "kind": "expression", "math_text": "(-64269 - (-48104)) * (-4336 + 5909) - 8818", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -64269, \"b\": -48104, \"c\": -4336, \"d\": 5909, \"e\": 8818}", "seed": "9066349945855346386", "semantic_fingerprint": "sha256:3ade0115e82cb919946908f9abcf90521361fa394ed6a82052175363d45aedc8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003216", "prompt": "What is -3441 / 69986?", "solution_steps": ["Divide: -3441 / 69986 = -3441/69986"], "final_answer": "-3441/69986", "answer_type": "rational", "kind": "expression", "math_text": "-3441 / 69986", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3441, \"b\": 69986}", "seed": "4544196974036539186", "semantic_fingerprint": "sha256:51584635940518a82bafe06b92caa85f32df3220341e87aff4aeecd86ce1315d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003217", "prompt": "Solve for x: 14(x + 6422) = x + 90584", "solution_steps": ["Expand: 14x + 89908 = x + 90584", "Subtract x from both sides: 13x + 89908 = 90584", "Subtract 89908 from both sides: 13x = 676", "Divide both sides by 13: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x + 6422) = x + 90584", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6422, \"d\": 90584, \"x\": 52}", "seed": "4745484672810068032", "semantic_fingerprint": "sha256:76df6c67a670dc6ec96aeb1a0d5d5f9f9fe20916700d4f3052720e0f75e36781", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003218", "prompt": "What is -2410 * (-88481 + (-30755 - 1866))?", "solution_steps": ["Subtract: -30755 - 1866 = -32621", "Add: -88481 + (-32621) = -121102", "Multiply: -2410 * (-121102) = 291855820"], "final_answer": "291855820", "answer_type": "integer", "kind": "expression", "math_text": "-2410 * (-88481 + (-30755 - 1866))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2410, \"b\": -88481, \"c\": -30755, \"d\": 1866}", "seed": "18392831368377764781", "semantic_fingerprint": "sha256:25713678bc9cb3f13a5b8f91e966aba1cf6f3d72e97a64a4a862135497010f24", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003219", "prompt": "Calculate: 4367 * (-14381)", "solution_steps": ["Multiply: 4367 * (-14381) = -62801827"], "final_answer": "-62801827", "answer_type": "integer", "kind": "expression", "math_text": "4367 * (-14381)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4367, \"b\": -14381}", "seed": "15580696759893351311", "semantic_fingerprint": "sha256:5ff909df3af37c49d742cfaa3df802177eaf02a3c174d410f406282fdf74adf7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003220", "prompt": "Compute: 16633 - (-46327) - 1759 - 28107", "solution_steps": ["Subtract: 16633 - (-46327) = 62960", "Subtract: 62960 - 1759 = 61201", "Subtract: 61201 - 28107 = 33094"], "final_answer": "33094", "answer_type": "integer", "kind": "expression", "math_text": "16633 - (-46327) - 1759 - 28107", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16633, \"b\": -46327, \"c\": 1759, \"d\": 28107}", "seed": "6310769510538280872", "semantic_fingerprint": "sha256:defba48fdd1552333b592330919c30532c52d23948165e6d0b0b0adcd73f4d2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003221", "prompt": "What is 7585 + 4521?", "solution_steps": ["Add: 7585 + 4521 = 12106"], "final_answer": "12106", "answer_type": "integer", "kind": "expression", "math_text": "7585 + 4521", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7585, \"b\": 4521}", "seed": "9691346390564368186", "semantic_fingerprint": "sha256:99fefac21e90361a3f546c5152b66e55ed734fc6b58987cc059864cacf6f874d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003222", "prompt": "Evaluate: 93235 - 8728 * 8042", "solution_steps": ["Multiply: 8728 * 8042 = 70190576", "Subtract: 93235 - 70190576 = -70097341"], "final_answer": "-70097341", "answer_type": "integer", "kind": "expression", "math_text": "93235 - 8728 * 8042", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93235, \"b\": 8728, \"c\": 8042}", "seed": "3756727854709052775", "semantic_fingerprint": "sha256:c2fa51fb1015b6f490f15043b116a65f299d7bd840d632e4e967ac502a1ac767", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003223", "prompt": "Find x: x = -40(x + 29202)", "solution_steps": ["Expand: x = -40x - 1168080", "Add 40x to both sides: 41x = -1168080", "Divide both sides by 41: x = -1168080/41"], "final_answer": "-1168080/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -40(x + 29202)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 29202}", "seed": "7498156097346778410", "semantic_fingerprint": "sha256:7141dc780c0a0376ebfe37e2158aafc96d94f448b545bb1e97d82b0d0dd167c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003224", "prompt": "Solve the equation 30x = x - 4814 for x.", "solution_steps": ["Subtract x from both sides: 29x = -4814", "Divide both sides by 29: x = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x = x - 4814", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": -4814, \"x\": -166}", "seed": "2058060804926036513", "semantic_fingerprint": "sha256:5821c7e02d89c47f0d67a3420fc6c94e472dcf5763d0116e5f40077eb7d6685c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003225", "prompt": "Calculate: 3678 * (-76557 + (-87347))", "solution_steps": ["Add: -76557 + (-87347) = -163904", "Multiply: 3678 * (-163904) = -602838912"], "final_answer": "-602838912", "answer_type": "integer", "kind": "expression", "math_text": "3678 * (-76557 + (-87347))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3678, \"b\": -76557, \"c\": -87347}", "seed": "5223902480382194063", "semantic_fingerprint": "sha256:95e6f15aa7b2d2b8fd61f5bbabbf002fd31f74512c36e8cd4b8d80be37d9e9d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003226", "prompt": "What is 57473 * (-7004)?", "solution_steps": ["Multiply: 57473 * (-7004) = -402540892"], "final_answer": "-402540892", "answer_type": "integer", "kind": "expression", "math_text": "57473 * (-7004)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 57473, \"b\": -7004}", "seed": "8594146569243439414", "semantic_fingerprint": "sha256:44ea13e7f3e4b0d1f225f22cfb7ca905332d23b35a0e54ac554bc43f237a532f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003227", "prompt": "Solve for x: 16(x + 3975) + 6907 = 33x + 6183", "solution_steps": ["Expand: 16x + 63600 + 6907 = 33x + 6183", "Combine constants: 16x + 70507 = 33x + 6183", "Subtract 33x from both sides: -17x + 70507 = 6183", "Subtract 70507 from both sides: -17x = -64324", "Divide both sides by -17: x = 64324/17"], "final_answer": "64324/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 3975) + 6907 = 33x + 6183", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3975, \"c\": 6907, \"d\": 33, \"e\": 6183}", "seed": "10672971667116612796", "semantic_fingerprint": "sha256:d9cba2b1ee5197603e74524d269351de60a3389746ea0dc6a72449d45e6c8012", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003228", "prompt": "Solve the equation x + 20244 = -35596 for x.", "solution_steps": ["Subtract 20244 from both sides: x = -55840"], "final_answer": "-55840", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 20244 = -35596", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20244, \"b\": -35596}", "seed": "14837542612896252036", "semantic_fingerprint": "sha256:774ec57de90fd13dea02a796af17bd4ed8a1404cc5b2d8dcd43b56e5a08f0c8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003229", "prompt": "Solve for x: -20x - 8953 = 23(x - 9517) + 6752", "solution_steps": ["Expand: -20x - 8953 = 23x - 218891 + 6752", "Combine constants: -20x - 8953 = 23x - 212139", "Subtract 23x from both sides: -43x - 8953 = -212139", "Add 8953 to both sides: -43x = -203186", "Divide both sides by -43: x = 203186/43"], "final_answer": "203186/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x - 8953 = 23(x - 9517) + 6752", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 8953, \"c\": 23, \"d\": 9517, \"e\": 6752}", "seed": "17158711127818172179", "semantic_fingerprint": "sha256:eec0ac2bdd1860d35a116bd69c804a60a81c773c7eb3bf5338370bb100168814", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003230", "prompt": "Compute: (8321 * 50218 - (-1448)) / 30669", "solution_steps": ["Multiply: 8321 * 50218 = 417863978", "Subtract: 417863978 - (-1448) = 417865426", "Divide: 417865426 / 30669 = 417865426/30669"], "final_answer": "417865426/30669", "answer_type": "rational", "kind": "expression", "math_text": "(8321 * 50218 - (-1448)) / 30669", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8321, \"b\": 50218, \"c\": -1448, \"d\": 30669}", "seed": "14825731877744299903", "semantic_fingerprint": "sha256:4659fbea8cac32b1fa59d80cf91fdfa08b7cea0bf6d599e97e1a9fc7b6f9b474", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003231", "prompt": "What is -95766 + 6316?", "solution_steps": ["Add: -95766 + 6316 = -89450"], "final_answer": "-89450", "answer_type": "integer", "kind": "expression", "math_text": "-95766 + 6316", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -95766, \"b\": 6316}", "seed": "16936873803706952559", "semantic_fingerprint": "sha256:9c44a8214f1101b3579c4f921713d9970def10853cb6c012da5e6a5dc72d0777", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003232", "prompt": "Evaluate: -3342 / 49738 + (-6081 + (-39537 + 8473) - 3122)", "solution_steps": ["Divide: -3342 / 49738 = -1671/24869", "Add: -39537 + 8473 = -31064", "Add: -6081 + (-31064) = -37145", "Subtract: -37145 - 3122 = -40267", "Add: -1671/24869 + (-40267) = -1001401694/24869"], "final_answer": "-1001401694/24869", "answer_type": "rational", "kind": "expression", "math_text": "-3342 / 49738 + (-6081 + (-39537 + 8473) - 3122)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (+ n (+ n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3342, \"b\": 49738, \"c\": -6081, \"d\": -39537, \"e\": 8473, \"f\": 3122}", "seed": "13526533744297122408", "semantic_fingerprint": "sha256:ce51678ff6a6460b269d51f543e387dc04248407ef0c1bf4c5cc5efecaa13c73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003233", "prompt": "Evaluate: 9505 / (-61090)", "solution_steps": ["Divide: 9505 / (-61090) = -1901/12218"], "final_answer": "-1901/12218", "answer_type": "rational", "kind": "expression", "math_text": "9505 / (-61090)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9505, \"b\": -61090}", "seed": "14314394045878041541", "semantic_fingerprint": "sha256:ec96cdec98f7f27fda971dbea1fbc1b2eed95d8744b3fbccb55496ac816fd019", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003234", "prompt": "Compute: -97629 - 75497 / (-9670)", "solution_steps": ["Divide: 75497 / (-9670) = -75497/9670", "Subtract: -97629 - (-75497/9670) = -943996933/9670"], "final_answer": "-943996933/9670", "answer_type": "rational", "kind": "expression", "math_text": "-97629 - 75497 / (-9670)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97629, \"b\": 75497, \"c\": -9670}", "seed": "10097814615353295145", "semantic_fingerprint": "sha256:9f443128d54dcdaf546ac0d59fdf8029dc675468823151ef852f4250f5ce9c4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003235", "prompt": "What is -5732 * (-75223 + (-50229) - 7797 + (2086 + 32852))?", "solution_steps": ["Add: -75223 + (-50229) = -125452", "Subtract: -125452 - 7797 = -133249", "Add: 2086 + 32852 = 34938", "Add: -133249 + 34938 = -98311", "Multiply: -5732 * (-98311) = 563518652"], "final_answer": "563518652", "answer_type": "integer", "kind": "expression", "math_text": "-5732 * (-75223 + (-50229) - 7797 + (2086 + 32852))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- (+ n n) n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5732, \"b\": -75223, \"c\": -50229, \"d\": 7797, \"e\": 2086, \"f\": 32852}", "seed": "136350013087306404", "semantic_fingerprint": "sha256:13ab9b8837fd3ffab1f699805d8cc2f4c289bad95049ac7da7b2a85e53b7cabf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003236", "prompt": "Solve for x: x - 60723 = 39x + 5549", "solution_steps": ["Subtract 39x from both sides: -38x - 60723 = 5549", "Add 60723 to both sides: -38x = 66272", "Divide both sides by -38: x = -1744"], "final_answer": "-1744", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 60723 = 39x + 5549", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60723, \"b\": 39, \"c\": 5549}", "seed": "18372017831717408680", "semantic_fingerprint": "sha256:0968010a378bb6569b9f5ef7900483a3d799da6de41d6a0a3ade3b10e2e2c49a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003237", "prompt": "Compute: -53231 - (-5117)", "solution_steps": ["Subtract: -53231 - (-5117) = -48114"], "final_answer": "-48114", "answer_type": "integer", "kind": "expression", "math_text": "-53231 - (-5117)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -53231, \"b\": -5117}", "seed": "17208713658649850364", "semantic_fingerprint": "sha256:1b88439c52720ef9c67f3524f9d1c9d788ce205a00c60e3dd69c45f5e618dc22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003238", "prompt": "Compute: -1981 + (-18153) - (59262 - 6634)", "solution_steps": ["Add: -1981 + (-18153) = -20134", "Subtract: 59262 - 6634 = 52628", "Subtract: -20134 - 52628 = -72762"], "final_answer": "-72762", "answer_type": "integer", "kind": "expression", "math_text": "-1981 + (-18153) - (59262 - 6634)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1981, \"b\": -18153, \"c\": 59262, \"d\": 6634}", "seed": "6048509189452212900", "semantic_fingerprint": "sha256:1712e86dc5d89cf8f0a889c215ee9854f67dc0d6c95ec21bc5309f67fe1183f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003239", "prompt": "What is 69286 * (-2239)?", "solution_steps": ["Multiply: 69286 * (-2239) = -155131354"], "final_answer": "-155131354", "answer_type": "integer", "kind": "expression", "math_text": "69286 * (-2239)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 69286, \"b\": -2239}", "seed": "15024268316299275981", "semantic_fingerprint": "sha256:984ff74a8345be8bdefd1764207f1c0bb06a62dd89eceb20dc7dac66bcf8f051", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003240", "prompt": "Compute: -1140 - (-44294) * (-4488)", "solution_steps": ["Multiply: -44294 * (-4488) = 198791472", "Subtract: -1140 - 198791472 = -198792612"], "final_answer": "-198792612", "answer_type": "integer", "kind": "expression", "math_text": "-1140 - (-44294) * (-4488)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1140, \"b\": -44294, \"c\": -4488}", "seed": "12706743948570775674", "semantic_fingerprint": "sha256:475f5201c572f4482897c53cb339b06a100d2b66d868c367d0cdf68cd4a56f16", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003241", "prompt": "What is -17639 - (-32248) + (-23834) * (-7771)?", "solution_steps": ["Subtract: -17639 - (-32248) = 14609", "Multiply: -23834 * (-7771) = 185214014", "Add: 14609 + 185214014 = 185228623"], "final_answer": "185228623", "answer_type": "integer", "kind": "expression", "math_text": "-17639 - (-32248) + (-23834) * (-7771)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17639, \"b\": -32248, \"c\": -23834, \"d\": -7771}", "seed": "6380488787479360848", "semantic_fingerprint": "sha256:b6499a128fd229e306d603695c88809d6136bc96839a6e150e3644fd7304856b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003242", "prompt": "Evaluate: 56714 / 2884", "solution_steps": ["Divide: 56714 / 2884 = 4051/206"], "final_answer": "4051/206", "answer_type": "rational", "kind": "expression", "math_text": "56714 / 2884", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56714, \"b\": 2884}", "seed": "16742455408329237864", "semantic_fingerprint": "sha256:3ed66035b92da860e139275dc26a8adf607c76e2044eb2c216d5a4b34bc05a5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003243", "prompt": "Solve for x: -33x = x + 8630", "solution_steps": ["Subtract x from both sides: -34x = 8630", "Divide both sides by -34: x = -4315/17"], "final_answer": "-4315/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33x = x + 8630", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 8630}", "seed": "16526516286064606280", "semantic_fingerprint": "sha256:db5d0805401776222fd766ccc84f85f74715edd2cec4180ecb6eb30b45538894", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003244", "prompt": "What value of x satisfies -14(x + 27965) + 91293 = -27x + 11666?", "solution_steps": ["Expand: -14x - 391510 + 91293 = -27x + 11666", "Combine constants: -14x - 300217 = -27x + 11666", "Add 27x to both sides: 13x - 300217 = 11666", "Add 300217 to both sides: 13x = 311883", "Divide both sides by 13: x = 23991"], "final_answer": "23991", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14(x + 27965) + 91293 = -27x + 11666", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 27965, \"c\": 91293, \"d\": -27, \"e\": 11666}", "seed": "10794943192537438742", "semantic_fingerprint": "sha256:676baa608ef6ac5d0042cd83dd56c097b9727a374f1b99b385667fbf841e64ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003245", "prompt": "Compute: -9515 / (-7739) + (-25660)", "solution_steps": ["Divide: -9515 / (-7739) = 9515/7739", "Add: 9515/7739 + (-25660) = -198573225/7739"], "final_answer": "-198573225/7739", "answer_type": "rational", "kind": "expression", "math_text": "-9515 / (-7739) + (-25660)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9515, \"b\": -7739, \"c\": -25660}", "seed": "14504046081487712101", "semantic_fingerprint": "sha256:7ed15e656264caf8eb995190227cee2c19380c93c78c1c3ca31ba499088fe3c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003246", "prompt": "Calculate: 8791 + 9476 + (2834 + 1185)", "solution_steps": ["Add: 8791 + 9476 = 18267", "Add: 2834 + 1185 = 4019", "Add: 18267 + 4019 = 22286"], "final_answer": "22286", "answer_type": "integer", "kind": "expression", "math_text": "8791 + 9476 + (2834 + 1185)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8791, \"b\": 9476, \"c\": 2834, \"d\": 1185}", "seed": "15803632090145577770", "semantic_fingerprint": "sha256:8d5cf155e0a4e8ae097b124b30985ef08d9ded6e22a86ac75f113659130b8a14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003247", "prompt": "Solve the equation x + 2009 = 38x - 4577 for x.", "solution_steps": ["Subtract 38x from both sides: -37x + 2009 = -4577", "Subtract 2009 from both sides: -37x = -6586", "Divide both sides by -37: x = 178"], "final_answer": "178", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2009 = 38x - 4577", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2009, \"b\": 38, \"d\": -4577, \"x\": 178}", "seed": "16964905972811375442", "semantic_fingerprint": "sha256:4a45cd8d7e305a4b4cf43639320765f9fc65be3e0a202b3d8c3c0c3f40cdab40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003248", "prompt": "Solve the equation 17x + 1229 = 18x + 9861 for x.", "solution_steps": ["Subtract 18x from both sides: -x + 1229 = 9861", "Subtract 1229 from both sides: -x = 8632", "Divide both sides by -1: x = -8632"], "final_answer": "-8632", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 1229 = 18x + 9861", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 1229, \"c\": 18, \"d\": 9861}", "seed": "3794958912578358239", "semantic_fingerprint": "sha256:72e1de8b929d8648a6493255b428fa9b0e085da7ca3fc8d1a74036da569809bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003249", "prompt": "Evaluate: 5683 * (-86009)", "solution_steps": ["Multiply: 5683 * (-86009) = -488789147"], "final_answer": "-488789147", "answer_type": "integer", "kind": "expression", "math_text": "5683 * (-86009)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5683, \"b\": -86009}", "seed": "7980715137084691963", "semantic_fingerprint": "sha256:1b2574ebd246cce249e963ec03779ba1ced478b3f40e377dead2890636c6b0c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003250", "prompt": "Compute: -8355 - (13027 * 38893 - 2762)", "solution_steps": ["Multiply: 13027 * 38893 = 506659111", "Subtract: 506659111 - 2762 = 506656349", "Subtract: -8355 - 506656349 = -506664704"], "final_answer": "-506664704", "answer_type": "integer", "kind": "expression", "math_text": "-8355 - (13027 * 38893 - 2762)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8355, \"b\": 13027, \"c\": 38893, \"d\": 2762}", "seed": "8058824681214597595", "semantic_fingerprint": "sha256:744ae275b1d82446050dd7afb1e77c2b5db650762d154a2c9ae2d4a9d1a8858d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003251", "prompt": "What is 6732 + (-9308) * (17400 + 70230)?", "solution_steps": ["Add: 17400 + 70230 = 87630", "Multiply: -9308 * 87630 = -815660040", "Add: 6732 + (-815660040) = -815653308"], "final_answer": "-815653308", "answer_type": "integer", "kind": "expression", "math_text": "6732 + (-9308) * (17400 + 70230)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6732, \"b\": -9308, \"c\": 17400, \"d\": 70230}", "seed": "17609437328672554307", "semantic_fingerprint": "sha256:9ed3a800b3a3bb99f34a436d986baee5b81e0f67562122dbd5f03f732ffe1c13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003252", "prompt": "Calculate: -7937 + (-16411 + 9069)", "solution_steps": ["Add: -16411 + 9069 = -7342", "Add: -7937 + (-7342) = -15279"], "final_answer": "-15279", "answer_type": "integer", "kind": "expression", "math_text": "-7937 + (-16411 + 9069)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7937, \"b\": -16411, \"c\": 9069}", "seed": "16701304810694474056", "semantic_fingerprint": "sha256:92dd7a20700691592f551c992b4eb2db1929580a9b304f02a5bf1a03e0a1c0a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003253", "prompt": "Calculate: -7315 + (-28020) / (-7558)", "solution_steps": ["Divide: -28020 / (-7558) = 14010/3779", "Add: -7315 + 14010/3779 = -27629375/3779"], "final_answer": "-27629375/3779", "answer_type": "rational", "kind": "expression", "math_text": "-7315 + (-28020) / (-7558)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7315, \"b\": -28020, \"c\": -7558}", "seed": "7740295624565854477", "semantic_fingerprint": "sha256:a645f987bfd69598c79bd5f60028947eb206caa6a8489d35149f0e29d428b62f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003254", "prompt": "What value of x satisfies 38x + 6437 = 34(x + 8919) + 7537?", "solution_steps": ["Expand: 38x + 6437 = 34x + 303246 + 7537", "Combine constants: 38x + 6437 = 34x + 310783", "Subtract 34x from both sides: 4x + 6437 = 310783", "Subtract 6437 from both sides: 4x = 304346", "Divide both sides by 4: x = 152173/2"], "final_answer": "152173/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x + 6437 = 34(x + 8919) + 7537", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 6437, \"c\": 34, \"d\": 8919, \"e\": 7537}", "seed": "3198038687789223563", "semantic_fingerprint": "sha256:cd635c1617f8de180139c1d865d39c10e612f697ee7040a5e625a2cec5c98c0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003255", "prompt": "Compute: (8121 - (-82468)) * 9262 - 5406", "solution_steps": ["Subtract: 8121 - (-82468) = 90589", "Multiply: 90589 * 9262 = 839035318", "Subtract: 839035318 - 5406 = 839029912"], "final_answer": "839029912", "answer_type": "integer", "kind": "expression", "math_text": "(8121 - (-82468)) * 9262 - 5406", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8121, \"b\": -82468, \"c\": 9262, \"d\": 5406}", "seed": "5910843459888236878", "semantic_fingerprint": "sha256:afbda07cbad6404b8da6e55fa945d696da7dd48abf5dcb144735783bc3c7617b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003256", "prompt": "Compute: 19008 + (-6269) - 7676", "solution_steps": ["Add: 19008 + (-6269) = 12739", "Subtract: 12739 - 7676 = 5063"], "final_answer": "5063", "answer_type": "integer", "kind": "expression", "math_text": "19008 + (-6269) - 7676", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19008, \"b\": -6269, \"c\": 7676}", "seed": "8427752258681210028", "semantic_fingerprint": "sha256:da9e265e2797bff277715d344e444b8395d9d98b78a9ce43e0846d4a964ad69f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003257", "prompt": "Compute: -5196 + 8247 - (-1943)", "solution_steps": ["Add: -5196 + 8247 = 3051", "Subtract: 3051 - (-1943) = 4994"], "final_answer": "4994", "answer_type": "integer", "kind": "expression", "math_text": "-5196 + 8247 - (-1943)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5196, \"b\": 8247, \"c\": -1943}", "seed": "14298817413384891611", "semantic_fingerprint": "sha256:10f4d016cf8110204023ff31fcfc403698cb9ea911d1ee5e628a5b05377285a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003258", "prompt": "Compute: -50283 + 8099 + 4765", "solution_steps": ["Add: -50283 + 8099 = -42184", "Add: -42184 + 4765 = -37419"], "final_answer": "-37419", "answer_type": "integer", "kind": "expression", "math_text": "-50283 + 8099 + 4765", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50283, \"b\": 8099, \"c\": 4765}", "seed": "16075962195248492445", "semantic_fingerprint": "sha256:9bb6cd94f699206a6b72503af7b5572ed299973e7b7ce60ab26bcc59974483a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003259", "prompt": "Evaluate: -52929 * (-9215 + (-8014))", "solution_steps": ["Add: -9215 + (-8014) = -17229", "Multiply: -52929 * (-17229) = 911913741"], "final_answer": "911913741", "answer_type": "integer", "kind": "expression", "math_text": "-52929 * (-9215 + (-8014))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -52929, \"b\": -9215, \"c\": -8014}", "seed": "8204604454450862829", "semantic_fingerprint": "sha256:f58b6b34759e70d543ec3e4d6210bd53652bf7b9a6e05187ff315ec5d0f28cfd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003260", "prompt": "What is -3083 + 9212 / (-9897 + (-4971))?", "solution_steps": ["Add: -9897 + (-4971) = -14868", "Divide: 9212 / (-14868) = -329/531", "Add: -3083 + (-329/531) = -1637402/531"], "final_answer": "-1637402/531", "answer_type": "rational", "kind": "expression", "math_text": "-3083 + 9212 / (-9897 + (-4971))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3083, \"b\": 9212, \"c\": -9897, \"d\": -4971}", "seed": "1426777906416777868", "semantic_fingerprint": "sha256:a6f89b091dcb60f46cf55cb3130b289c9eb024ede9fc589665cc57bdfc2002cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003261", "prompt": "Calculate: 18228 / (8805 + (-4812))", "solution_steps": ["Add: 8805 + (-4812) = 3993", "Divide: 18228 / 3993 = 6076/1331"], "final_answer": "6076/1331", "answer_type": "rational", "kind": "expression", "math_text": "18228 / (8805 + (-4812))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18228, \"b\": 8805, \"c\": -4812}", "seed": "13643010928520482727", "semantic_fingerprint": "sha256:329d39a576727cd9858ce4c96725bb1e18d5e3409bdfdee7b4d29d320c8519d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003262", "prompt": "Solve for x: -16(x + 70461) - 18769 = 39(x + 40961)", "solution_steps": ["Expand: -16x - 1127376 - 18769 = 39(x + 40961)", "Expand: -16x - 1127376 - 18769 = 39x + 1597479", "Combine constants: -16x - 1146145 = 39x + 1597479", "Subtract 39x from both sides: -55x - 1146145 = 1597479", "Add 1146145 to both sides: -55x = 2743624", "Divide both sides by -55: x = -2743624/55"], "final_answer": "-2743624/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 70461) - 18769 = 39(x + 40961)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 70461, \"c\": 18769, \"d\": 39, \"e\": 40961}", "seed": "9441856037889740934", "semantic_fingerprint": "sha256:f5368547fd1fa4340469d94bb6372c8807ca2205511de4a83d0267e48f89f7b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003263", "prompt": "Evaluate: -7575 - (-6278)", "solution_steps": ["Subtract: -7575 - (-6278) = -1297"], "final_answer": "-1297", "answer_type": "integer", "kind": "expression", "math_text": "-7575 - (-6278)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7575, \"b\": -6278}", "seed": "4153965163809714447", "semantic_fingerprint": "sha256:b2010fa9fc7f64a0c3f19ef9f4f5773d1e9ded40d322a9b8f75f00a62f6242eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003264", "prompt": "Evaluate: -58996 + (-41313) / 16167", "solution_steps": ["Divide: -41313 / 16167 = -13771/5389", "Add: -58996 + (-13771/5389) = -317943215/5389"], "final_answer": "-317943215/5389", "answer_type": "rational", "kind": "expression", "math_text": "-58996 + (-41313) / 16167", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -58996, \"b\": -41313, \"c\": 16167}", "seed": "17713708164554270536", "semantic_fingerprint": "sha256:372d37fa0beeb52b802ade67a7d9ea77dc90a203465ad20c219a1b01ca884486", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003265", "prompt": "Compute: 7549 / (-55706) - (-6143)", "solution_steps": ["Divide: 7549 / (-55706) = -7549/55706", "Subtract: -7549/55706 - (-6143) = 342194409/55706"], "final_answer": "342194409/55706", "answer_type": "rational", "kind": "expression", "math_text": "7549 / (-55706) - (-6143)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7549, \"b\": -55706, \"c\": -6143}", "seed": "18241525667153291364", "semantic_fingerprint": "sha256:b3d1d5215658e660226a0f871d3814053ee5983caa7ea7ef86f3614c0a62d8ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003266", "prompt": "Compute: 43124 * 5498", "solution_steps": ["Multiply: 43124 * 5498 = 237095752"], "final_answer": "237095752", "answer_type": "integer", "kind": "expression", "math_text": "43124 * 5498", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 43124, \"b\": 5498}", "seed": "3792398008813419729", "semantic_fingerprint": "sha256:fb21187cf99067d0f5f4ad0d3ae8088ffea7a56d82a98047a85c11b867d33a80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003267", "prompt": "Solve for x: x - 7398 = 40x - 1977", "solution_steps": ["Subtract 40x from both sides: -39x - 7398 = -1977", "Add 7398 to both sides: -39x = 5421", "Divide both sides by -39: x = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7398 = 40x - 1977", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7398, \"b\": 40, \"d\": -1977, \"x\": -139}", "seed": "11354434081916650673", "semantic_fingerprint": "sha256:f68fd9f2c117d461c42080e6577a31d95aa0e3108ab340343552dda790941d9b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003268", "prompt": "Evaluate: -76855 / (-7695) + (-47201)", "solution_steps": ["Divide: -76855 / (-7695) = 809/81", "Add: 809/81 + (-47201) = -3822472/81"], "final_answer": "-3822472/81", "answer_type": "rational", "kind": "expression", "math_text": "-76855 / (-7695) + (-47201)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76855, \"b\": -7695, \"c\": -47201}", "seed": "6760875950599888713", "semantic_fingerprint": "sha256:2251f11001c22b3e0115ced9b1b12db5e0c73226711a7a59f1a3feee364dc5a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003269", "prompt": "Calculate: 3032 / 5338", "solution_steps": ["Divide: 3032 / 5338 = 1516/2669"], "final_answer": "1516/2669", "answer_type": "rational", "kind": "expression", "math_text": "3032 / 5338", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3032, \"b\": 5338}", "seed": "16136692827393679583", "semantic_fingerprint": "sha256:eb317ba9e9c8ee9fd21b15380197497b784cc623ea0d82632a13d654906b2998", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003270", "prompt": "Solve the equation 30x - 6894 = 29x for x.", "solution_steps": ["Subtract 29x from both sides: x - 6894 = 0", "Add 6894 to both sides: x = 6894"], "final_answer": "6894", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x - 6894 = 29x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 6894, \"c\": 29}", "seed": "960783651025068236", "semantic_fingerprint": "sha256:622bb5de57d99ef2b3ac6606c743204bdad55f526beef76e5f2312aff4a9716e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003271", "prompt": "Find x: -15(x - 72486) = x - 6092", "solution_steps": ["Expand: -15x + 1087290 = x - 6092", "Subtract x from both sides: -16x + 1087290 = -6092", "Subtract 1087290 from both sides: -16x = -1093382", "Divide both sides by -16: x = 546691/8"], "final_answer": "546691/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x - 72486) = x - 6092", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 72486, \"c\": 6092}", "seed": "9771664542933184152", "semantic_fingerprint": "sha256:e1082c76ff3070af34ad51bf845aac439c2f912520c44501321020bbf112210e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003272", "prompt": "Calculate: -18999 * (-69044 - (-26630))", "solution_steps": ["Subtract: -69044 - (-26630) = -42414", "Multiply: -18999 * (-42414) = 805823586"], "final_answer": "805823586", "answer_type": "integer", "kind": "expression", "math_text": "-18999 * (-69044 - (-26630))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18999, \"b\": -69044, \"c\": -26630}", "seed": "7920873705491023397", "semantic_fingerprint": "sha256:d764af12d757f2c2c6bd55114be9c07ba5a384cac3934c93b2b20161e1318a61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003273", "prompt": "Calculate: -1376 - (-83180 + (-7262))", "solution_steps": ["Add: -83180 + (-7262) = -90442", "Subtract: -1376 - (-90442) = 89066"], "final_answer": "89066", "answer_type": "integer", "kind": "expression", "math_text": "-1376 - (-83180 + (-7262))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1376, \"b\": -83180, \"c\": -7262}", "seed": "13437337088424705500", "semantic_fingerprint": "sha256:85deeed757755091f24897c50259135901fa5661c71d32b9cac2c46c51c63f53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003274", "prompt": "Evaluate: 9343 + (-51721) * (-43699)", "solution_steps": ["Multiply: -51721 * (-43699) = 2260155979", "Add: 9343 + 2260155979 = 2260165322"], "final_answer": "2260165322", "answer_type": "integer", "kind": "expression", "math_text": "9343 + (-51721) * (-43699)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9343, \"b\": -51721, \"c\": -43699}", "seed": "10406374696851434069", "semantic_fingerprint": "sha256:a8794462bd518adaa890b1d6777b996a27edc4e4b44a6f6d6f3da5542e9b02c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003275", "prompt": "Evaluate: 4597 - (-3839 - (-4749))", "solution_steps": ["Subtract: -3839 - (-4749) = 910", "Subtract: 4597 - 910 = 3687"], "final_answer": "3687", "answer_type": "integer", "kind": "expression", "math_text": "4597 - (-3839 - (-4749))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4597, \"b\": -3839, \"c\": -4749}", "seed": "8078111279179260653", "semantic_fingerprint": "sha256:d66c567da006dcfdb0a26c11025b0334df86fc2afd9c321a4fb0f806c3feab78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003276", "prompt": "Solve for x: x + 1620 = 19x", "solution_steps": ["Subtract 19x from both sides: -18x + 1620 = 0", "Subtract 1620 from both sides: -18x = -1620", "Divide both sides by -18: x = 90"], "final_answer": "90", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1620 = 19x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 1620, \"x\": 90}", "seed": "8809434771633300146", "semantic_fingerprint": "sha256:75b5a9d6850bb81754499e5d0a037a0b938d3d0a9f2953daee20ce7735a81363", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003277", "prompt": "Calculate: -5320 / 2923 - (-3291) * 55387", "solution_steps": ["Divide: -5320 / 2923 = -5320/2923", "Multiply: -3291 * 55387 = -182278617", "Subtract: -5320/2923 - (-182278617) = 532800392171/2923"], "final_answer": "532800392171/2923", "answer_type": "rational", "kind": "expression", "math_text": "-5320 / 2923 - (-3291) * 55387", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5320, \"b\": 2923, \"c\": -3291, \"d\": 55387}", "seed": "15429738708781232734", "semantic_fingerprint": "sha256:a8428f1da356e8b4df9946abd96cd6bf0eb881ad150a8834fe97d111f525f5ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003278", "prompt": "Evaluate: -15462 * 15537", "solution_steps": ["Multiply: -15462 * 15537 = -240233094"], "final_answer": "-240233094", "answer_type": "integer", "kind": "expression", "math_text": "-15462 * 15537", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -15462, \"b\": 15537}", "seed": "1037184062609621289", "semantic_fingerprint": "sha256:0626c608163116727879c2f2b010b60677cb6e6531e597dc132f23117086bad7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003279", "prompt": "What is (86115 - (-2214)) / 86626?", "solution_steps": ["Subtract: 86115 - (-2214) = 88329", "Divide: 88329 / 86626 = 88329/86626"], "final_answer": "88329/86626", "answer_type": "rational", "kind": "expression", "math_text": "(86115 - (-2214)) / 86626", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 86115, \"b\": -2214, \"c\": 86626}", "seed": "13803172833868039217", "semantic_fingerprint": "sha256:d110abc44865a2cde4ad9b9cdca9e6129db33f16d0f56bada559d81687d1f700", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003280", "prompt": "What is -7948 - (70853 - (-2101))?", "solution_steps": ["Subtract: 70853 - (-2101) = 72954", "Subtract: -7948 - 72954 = -80902"], "final_answer": "-80902", "answer_type": "integer", "kind": "expression", "math_text": "-7948 - (70853 - (-2101))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7948, \"b\": 70853, \"c\": -2101}", "seed": "10204314391051178767", "semantic_fingerprint": "sha256:f45e6c3be5e2db3a7bf34855b78607281fe6fe35f14736257506ce9a338310ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003281", "prompt": "Evaluate: -22591 - (-8720) * 24024", "solution_steps": ["Multiply: -8720 * 24024 = -209489280", "Subtract: -22591 - (-209489280) = 209466689"], "final_answer": "209466689", "answer_type": "integer", "kind": "expression", "math_text": "-22591 - (-8720) * 24024", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22591, \"b\": -8720, \"c\": 24024}", "seed": "5332516407578100553", "semantic_fingerprint": "sha256:588b9ba83532bbd1a09b259aa5c1cfdf135f9fc775f51f8bc36a8afc596d7452", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003282", "prompt": "Evaluate: (1317 + (-8644)) * (-39407 - (-3621))", "solution_steps": ["Add: 1317 + (-8644) = -7327", "Subtract: -39407 - (-3621) = -35786", "Multiply: -7327 * (-35786) = 262204022"], "final_answer": "262204022", "answer_type": "integer", "kind": "expression", "math_text": "(1317 + (-8644)) * (-39407 - (-3621))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1317, \"b\": -8644, \"c\": -39407, \"d\": -3621}", "seed": "8089956833597179391", "semantic_fingerprint": "sha256:352d2c21254c974834d2c6ac0f9d5d70ffe2a81ed175a494402d29f266e7f190", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003283", "prompt": "Calculate: -22798 + 2384 * 3554", "solution_steps": ["Multiply: 2384 * 3554 = 8472736", "Add: -22798 + 8472736 = 8449938"], "final_answer": "8449938", "answer_type": "integer", "kind": "expression", "math_text": "-22798 + 2384 * 3554", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22798, \"b\": 2384, \"c\": 3554}", "seed": "13992276892303596745", "semantic_fingerprint": "sha256:a11b87ad4991e66c3df764e5c27a3ec9cb5875d0b7dede1dfd40d52b6241f8d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003284", "prompt": "Compute: -12749 - (-7224)", "solution_steps": ["Subtract: -12749 - (-7224) = -5525"], "final_answer": "-5525", "answer_type": "integer", "kind": "expression", "math_text": "-12749 - (-7224)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -12749, \"b\": -7224}", "seed": "4872613065023544786", "semantic_fingerprint": "sha256:c042419034e36da0dd7a2028d2e86e67869a2d971d5c449888ab275672e0c272", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003285", "prompt": "Solve the equation 29(x - 5515) + 6961 = 2804 for x.", "solution_steps": ["Expand: 29x - 159935 + 6961 = 2804", "Combine constants: 29x - 152974 = 2804", "Add 152974 to both sides: 29x = 155778", "Divide both sides by 29: x = 155778/29"], "final_answer": "155778/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 5515) + 6961 = 2804", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 5515, \"c\": 6961, \"d\": 2804}", "seed": "12647972715242673782", "semantic_fingerprint": "sha256:fcb57168e8ca236fedf1bd6553cf5ffe8253f0a88050a52d8d5c61d46df3ade5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003286", "prompt": "Compute: 33266 + 1101", "solution_steps": ["Add: 33266 + 1101 = 34367"], "final_answer": "34367", "answer_type": "integer", "kind": "expression", "math_text": "33266 + 1101", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 33266, \"b\": 1101}", "seed": "15902520522317882765", "semantic_fingerprint": "sha256:e99a73feb37354c8072c605a3a6899b93869e94e93d08f8716f082bc7ab23019", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003287", "prompt": "Calculate: 56688 + 77497 * 86589", "solution_steps": ["Multiply: 77497 * 86589 = 6710387733", "Add: 56688 + 6710387733 = 6710444421"], "final_answer": "6710444421", "answer_type": "integer", "kind": "expression", "math_text": "56688 + 77497 * 86589", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56688, \"b\": 77497, \"c\": 86589}", "seed": "9819081912456408204", "semantic_fingerprint": "sha256:00ee262042b37ee8240d212718128c689dff5a10d67bd104d57135044fd35be1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003288", "prompt": "Compute: -36487 / (-7714) * (-6795)", "solution_steps": ["Divide: -36487 / (-7714) = 36487/7714", "Multiply: (36487/7714) * (-6795) = -247929165/7714"], "final_answer": "-247929165/7714", "answer_type": "rational", "kind": "expression", "math_text": "-36487 / (-7714) * (-6795)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36487, \"b\": -7714, \"c\": -6795}", "seed": "994950639065900138", "semantic_fingerprint": "sha256:d6271b50639a2687ab8cde1b1ca77fd5e34f9a526d4e780781a781720cb0114c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003289", "prompt": "Calculate: -7599 / (-6948)", "solution_steps": ["Divide: -7599 / (-6948) = 2533/2316"], "final_answer": "2533/2316", "answer_type": "rational", "kind": "expression", "math_text": "-7599 / (-6948)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7599, \"b\": -6948}", "seed": "9993569153264264558", "semantic_fingerprint": "sha256:1382343f6b3568f482feaf0337c4ebeda7efff84da6bf7773ea48fd304ae3f84", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003290", "prompt": "Compute: 80401 + (-63294) / (-40585)", "solution_steps": ["Divide: -63294 / (-40585) = 63294/40585", "Add: 80401 + 63294/40585 = 3263137879/40585"], "final_answer": "3263137879/40585", "answer_type": "rational", "kind": "expression", "math_text": "80401 + (-63294) / (-40585)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80401, \"b\": -63294, \"c\": -40585}", "seed": "9620268528069559376", "semantic_fingerprint": "sha256:6cc23e7dd5c3cfdab77a788b40bc2930eec75c0d7b83314018d9d5ea71a37e72", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003291", "prompt": "Find x: 34(x + 2198) - 77702 = x", "solution_steps": ["Expand: 34x + 74732 - 77702 = x", "Combine constants: 34x - 2970 = x", "Subtract x from both sides: 33x - 2970 = 0", "Add 2970 to both sides: 33x = 2970", "Divide both sides by 33: x = 90"], "final_answer": "90", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x + 2198) - 77702 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 2198, \"d\": -77702, \"x\": 90}", "seed": "12974932773038779156", "semantic_fingerprint": "sha256:dbea249fab6432f8f096a534ca2a893667444e54556d2a093d2cbafc1aec38de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003292", "prompt": "What is 56571 * 1957 / (7922 - (-4009)) - 47790?", "solution_steps": ["Multiply: 56571 * 1957 = 110709447", "Subtract: 7922 - (-4009) = 11931", "Divide: 110709447 / 11931 = 36903149/3977", "Subtract: 36903149/3977 - 47790 = -153157681/3977"], "final_answer": "-153157681/3977", "answer_type": "rational", "kind": "expression", "math_text": "56571 * 1957 / (7922 - (-4009)) - 47790", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 56571, \"b\": 1957, \"c\": 7922, \"d\": -4009, \"e\": 47790}", "seed": "765490097083526367", "semantic_fingerprint": "sha256:13c32c4240ce3239b9cc32885a779ab9768af7693994cbdba85446e2827e0b3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003293", "prompt": "What value of x satisfies 29(x + 36690) + 8096 = 7256?", "solution_steps": ["Expand: 29x + 1064010 + 8096 = 7256", "Combine constants: 29x + 1072106 = 7256", "Subtract 1072106 from both sides: 29x = -1064850", "Divide both sides by 29: x = -1064850/29"], "final_answer": "-1064850/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 36690) + 8096 = 7256", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 36690, \"c\": 8096, \"d\": 7256}", "seed": "10685739581838338221", "semantic_fingerprint": "sha256:cf82db2cb2c24ef480978a436660cdd50dfefce3fc22124976883c55bc09c804", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003294", "prompt": "Solve for x: x - 2916 = 19x", "solution_steps": ["Subtract 19x from both sides: -18x - 2916 = 0", "Add 2916 to both sides: -18x = 2916", "Divide both sides by -18: x = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2916 = 19x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": -2916, \"x\": -162}", "seed": "13535948212608987358", "semantic_fingerprint": "sha256:7dea34af97df4a0ef47577169cb5e9965d5f612250ad7677147346ce6c5cd7af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003295", "prompt": "Find x: 19(x + 5057) = x + 82193", "solution_steps": ["Expand: 19x + 96083 = x + 82193", "Subtract x from both sides: 18x + 96083 = 82193", "Subtract 96083 from both sides: 18x = -13890", "Divide both sides by 18: x = -2315/3"], "final_answer": "-2315/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 5057) = x + 82193", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 5057, \"c\": 82193}", "seed": "53698007114505326", "semantic_fingerprint": "sha256:ea7a7ff4ba62b24e821939e737dac4641e42ad3b329934111c458f29e8040007", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003296", "prompt": "Evaluate: 93113 * 5921 + 8669", "solution_steps": ["Multiply: 93113 * 5921 = 551322073", "Add: 551322073 + 8669 = 551330742"], "final_answer": "551330742", "answer_type": "integer", "kind": "expression", "math_text": "93113 * 5921 + 8669", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93113, \"b\": 5921, \"c\": 8669}", "seed": "10565155745053865690", "semantic_fingerprint": "sha256:e8f734651c6bae425df9b14de19b1cd06634c8a1c6f52625dbdbb845e8c60f7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003297", "prompt": "Solve the equation -36(x - 48077) - 1453 = 14(x + 2847) + 7164 for x.", "solution_steps": ["Expand: -36x + 1730772 - 1453 = 14(x + 2847) + 7164", "Expand: -36x + 1730772 - 1453 = 14x + 39858 + 7164", "Combine constants: -36x + 1729319 = 14x + 39858 + 7164", "Combine constants: -36x + 1729319 = 14x + 47022", "Subtract 14x from both sides: -50x + 1729319 = 47022", "Subtract 1729319 from both sides: -50x = -1682297", "Divide both sides by -50: x = 1682297/50"], "final_answer": "1682297/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x - 48077) - 1453 = 14(x + 2847) + 7164", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 48077, \"c\": 1453, \"d\": 14, \"e\": 2847, \"f\": 7164}", "seed": "3301313049016216546", "semantic_fingerprint": "sha256:688d0cddf3cff8cd05708907de3a06bc3b9a0aacf6ef3f925f5d574bf97abc67", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003298", "prompt": "Evaluate: 12916 - (-8659)", "solution_steps": ["Subtract: 12916 - (-8659) = 21575"], "final_answer": "21575", "answer_type": "integer", "kind": "expression", "math_text": "12916 - (-8659)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 12916, \"b\": -8659}", "seed": "14626901111980010257", "semantic_fingerprint": "sha256:9723dc00ba9ce7f7d72f600b5ac269faf1a52e644907302ff40d042370bd56ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003299", "prompt": "Evaluate: -76036 + 4913 - (-59716)", "solution_steps": ["Add: -76036 + 4913 = -71123", "Subtract: -71123 - (-59716) = -11407"], "final_answer": "-11407", "answer_type": "integer", "kind": "expression", "math_text": "-76036 + 4913 - (-59716)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76036, \"b\": 4913, \"c\": -59716}", "seed": "12886012622172568429", "semantic_fingerprint": "sha256:9649259926db8a2bdf5814e902162e6abfbfaac2e822185e93a494e9c7e2552a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003300", "prompt": "Calculate: 9569 / (-35959) + (11783 * (-2259) + (-65762) * (-1757))", "solution_steps": ["Divide: 9569 / (-35959) = -1367/5137", "Multiply: 11783 * (-2259) = -26617797", "Multiply: -65762 * (-1757) = 115543834", "Add: -26617797 + 115543834 = 88926037", "Add: -1367/5137 + 88926037 = 456813050702/5137"], "final_answer": "456813050702/5137", "answer_type": "rational", "kind": "expression", "math_text": "9569 / (-35959) + (11783 * (-2259) + (-65762) * (-1757))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (* n n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9569, \"b\": -35959, \"c\": 11783, \"d\": -2259, \"e\": -65762, \"f\": -1757}", "seed": "12729923889818667952", "semantic_fingerprint": "sha256:902fd6b67d1872fec579e069c829fa6b833552897d1ba653addeee5fd4b478c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003301", "prompt": "Find x: -24x + 50539 = -30(x - 29786) - 3818", "solution_steps": ["Expand: -24x + 50539 = -30x + 893580 - 3818", "Combine constants: -24x + 50539 = -30x + 889762", "Add 30x to both sides: 6x + 50539 = 889762", "Subtract 50539 from both sides: 6x = 839223", "Divide both sides by 6: x = 279741/2"], "final_answer": "279741/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24x + 50539 = -30(x - 29786) - 3818", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 50539, \"c\": -30, \"d\": 29786, \"e\": 3818}", "seed": "819306325375555146", "semantic_fingerprint": "sha256:5d4eb54e2ab5af5e522ff4ab33eab9bafad25e9fc26b56b4224b6daaf12557a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003302", "prompt": "What is 9435 - 76514 + 1592?", "solution_steps": ["Subtract: 9435 - 76514 = -67079", "Add: -67079 + 1592 = -65487"], "final_answer": "-65487", "answer_type": "integer", "kind": "expression", "math_text": "9435 - 76514 + 1592", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9435, \"b\": 76514, \"c\": 1592}", "seed": "1302193554403381617", "semantic_fingerprint": "sha256:cb809629cf2433978f926b0e61caa2e10695962d7785ae5f5c01297408d7b741", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003303", "prompt": "Compute: 25738 / 77384", "solution_steps": ["Divide: 25738 / 77384 = 757/2276"], "final_answer": "757/2276", "answer_type": "rational", "kind": "expression", "math_text": "25738 / 77384", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25738, \"b\": 77384}", "seed": "3743646024429839197", "semantic_fingerprint": "sha256:673ffd0b58092ea08b03a022ef4dc11521e04462572e1d1193ce88d3fec1190a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003304", "prompt": "Calculate: 2305 * ((-61802 + (-22244) - 63053) / (-23631))", "solution_steps": ["Add: -61802 + (-22244) = -84046", "Subtract: -84046 - 63053 = -147099", "Divide: -147099 / (-23631) = 49033/7877", "Multiply: 2305 * (49033/7877) = 113021065/7877"], "final_answer": "113021065/7877", "answer_type": "rational", "kind": "expression", "math_text": "2305 * ((-61802 + (-22244) - 63053) / (-23631))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2305, \"b\": -61802, \"c\": -22244, \"d\": 63053, \"e\": -23631}", "seed": "18290400338396248773", "semantic_fingerprint": "sha256:80e35cce53582a726a6cc9d8337d34bfa98155e0558dbcc47a02f7683d1147bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003305", "prompt": "Evaluate: 5231 + 54989 * 70322", "solution_steps": ["Multiply: 54989 * 70322 = 3866936458", "Add: 5231 + 3866936458 = 3866941689"], "final_answer": "3866941689", "answer_type": "integer", "kind": "expression", "math_text": "5231 + 54989 * 70322", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5231, \"b\": 54989, \"c\": 70322}", "seed": "12461961329151558521", "semantic_fingerprint": "sha256:85838195f074b1bca7baa8c3af3434f29d89427c12c90ad9d2e02a979f2eae42", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003306", "prompt": "What value of x satisfies 31(x - 2987) = -21(x - 8601)?", "solution_steps": ["Expand: 31x - 92597 = -21(x - 8601)", "Expand: 31x - 92597 = -21x + 180621", "Add 21x to both sides: 52x - 92597 = 180621", "Add 92597 to both sides: 52x = 273218", "Divide both sides by 52: x = 136609/26"], "final_answer": "136609/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x - 2987) = -21(x - 8601)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2987, \"c\": -21, \"d\": 8601}", "seed": "17297796353348066078", "semantic_fingerprint": "sha256:18c46d28029f186e92b72ada87d6cc79b34c00636396557caf48c82a00d884be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003307", "prompt": "Calculate: 11425 * ((94920 + 3419) / 42097)", "solution_steps": ["Add: 94920 + 3419 = 98339", "Divide: 98339 / 42097 = 98339/42097", "Multiply: 11425 * (98339/42097) = 1123523075/42097"], "final_answer": "1123523075/42097", "answer_type": "rational", "kind": "expression", "math_text": "11425 * ((94920 + 3419) / 42097)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 11425, \"b\": 94920, \"c\": 3419, \"d\": 42097}", "seed": "8184548231931832021", "semantic_fingerprint": "sha256:f8854fa2413b097de2c4c22fd8286e65e70f3b9713aff09681e4e1994bc15574", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003308", "prompt": "Compute: -86216 - (3269 - 67644) * 45960", "solution_steps": ["Subtract: 3269 - 67644 = -64375", "Multiply: -64375 * 45960 = -2958675000", "Subtract: -86216 - (-2958675000) = 2958588784"], "final_answer": "2958588784", "answer_type": "integer", "kind": "expression", "math_text": "-86216 - (3269 - 67644) * 45960", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -86216, \"b\": 3269, \"c\": 67644, \"d\": 45960}", "seed": "9725893432488676979", "semantic_fingerprint": "sha256:87118b1259b528802f0432ffdf9da6cf525ae37aeed8e357d42248b41ac1d82d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003309", "prompt": "Solve the equation 37(x + 35693) + 2356 = 13(x + 91086) + 53517 for x.", "solution_steps": ["Expand: 37x + 1320641 + 2356 = 13(x + 91086) + 53517", "Expand: 37x + 1320641 + 2356 = 13x + 1184118 + 53517", "Combine constants: 37x + 1322997 = 13x + 1184118 + 53517", "Combine constants: 37x + 1322997 = 13x + 1237635", "Subtract 13x from both sides: 24x + 1322997 = 1237635", "Subtract 1322997 from both sides: 24x = -85362", "Divide both sides by 24: x = -14227/4"], "final_answer": "-14227/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 35693) + 2356 = 13(x + 91086) + 53517", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 35693, \"c\": 2356, \"d\": 13, \"e\": 91086, \"f\": 53517}", "seed": "11607149010669875038", "semantic_fingerprint": "sha256:eb1a686b914673d068323ea97f097c030737b877154e228c8946f38ea0162faf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003310", "prompt": "What is (3404 - (-42719)) * 8126?", "solution_steps": ["Subtract: 3404 - (-42719) = 46123", "Multiply: 46123 * 8126 = 374795498"], "final_answer": "374795498", "answer_type": "integer", "kind": "expression", "math_text": "(3404 - (-42719)) * 8126", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3404, \"b\": -42719, \"c\": 8126}", "seed": "6039265688987977858", "semantic_fingerprint": "sha256:94e5b5d49f80610f2db6c9344e69c5144c1ca178a8f59fb8b2c1be7630ed47fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003311", "prompt": "What is -94786 * 1259 - 3989?", "solution_steps": ["Multiply: -94786 * 1259 = -119335574", "Subtract: -119335574 - 3989 = -119339563"], "final_answer": "-119339563", "answer_type": "integer", "kind": "expression", "math_text": "-94786 * 1259 - 3989", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -94786, \"b\": 1259, \"c\": 3989}", "seed": "842165001619135535", "semantic_fingerprint": "sha256:60cbfa09c0b8bd91cd6cd0f91475c15d9cf66f1553a0969f561c4100953224ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003312", "prompt": "Solve the equation -33x + 5474 = x for x.", "solution_steps": ["Subtract x from both sides: -34x + 5474 = 0", "Subtract 5474 from both sides: -34x = -5474", "Divide both sides by -34: x = 161"], "final_answer": "161", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33x + 5474 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"c\": 5474, \"x\": 161}", "seed": "7345903214852623053", "semantic_fingerprint": "sha256:fa5feef2677e88196fd6578d018d8e154d7d02e0eca2255cd3d6eaa58bcb60f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003313", "prompt": "What is 8779 / (-9621)?", "solution_steps": ["Divide: 8779 / (-9621) = -8779/9621"], "final_answer": "-8779/9621", "answer_type": "rational", "kind": "expression", "math_text": "8779 / (-9621)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8779, \"b\": -9621}", "seed": "9746639559951293828", "semantic_fingerprint": "sha256:7fc5dd8bce7b7774b852a1bff52309ef55de3d9b434dc7236bb81b9086c4bd14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003314", "prompt": "Compute: -65698 - (-6643) * 8328 * (-8458 / (-12903))", "solution_steps": ["Multiply: -6643 * 8328 = -55322904", "Divide: -8458 / (-12903) = 8458/12903", "Multiply: -55322904 * (8458/12903) = -155973707344/4301", "Subtract: -65698 - (-155973707344/4301) = 155691140246/4301"], "final_answer": "155691140246/4301", "answer_type": "rational", "kind": "expression", "math_text": "-65698 - (-6643) * 8328 * (-8458 / (-12903))", "variable": null, "family": "expression_4op", "shape": "(- n (* (* n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -65698, \"b\": -6643, \"c\": 8328, \"d\": -8458, \"e\": -12903}", "seed": "3727083466383143099", "semantic_fingerprint": "sha256:a33cafd1566d21f5cf1b07e051b22d2ae1fc13b98650ec6ef56c444f063e81ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003315", "prompt": "Calculate: 4021 + (89458 / 52277 - (-4009 - 3550 + (-2101)))", "solution_steps": ["Divide: 89458 / 52277 = 89458/52277", "Subtract: -4009 - 3550 = -7559", "Add: -7559 + (-2101) = -9660", "Subtract: 89458/52277 - (-9660) = 505085278/52277", "Add: 4021 + 505085278/52277 = 715291095/52277"], "final_answer": "715291095/52277", "answer_type": "rational", "kind": "expression", "math_text": "4021 + (89458 / 52277 - (-4009 - 3550 + (-2101)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4021, \"b\": 89458, \"c\": 52277, \"d\": -4009, \"e\": 3550, \"f\": -2101}", "seed": "3110308140969464529", "semantic_fingerprint": "sha256:bc0ea5fa9bd8bc0ad3d70d73b0c57e83f0554b8dc653422eccfc27f6291333dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003316", "prompt": "Calculate: 5852 - (-46931) + (-45853) - 54484", "solution_steps": ["Subtract: 5852 - (-46931) = 52783", "Add: 52783 + (-45853) = 6930", "Subtract: 6930 - 54484 = -47554"], "final_answer": "-47554", "answer_type": "integer", "kind": "expression", "math_text": "5852 - (-46931) + (-45853) - 54484", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5852, \"b\": -46931, \"c\": -45853, \"d\": 54484}", "seed": "14398540951118607867", "semantic_fingerprint": "sha256:a432f414ad4d593d27fb65621b6549a2388f2df31dc73ccb506d5de64c0126cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003317", "prompt": "Compute: -98334 - (73290 * 81438 - (-8095)) - 30724", "solution_steps": ["Multiply: 73290 * 81438 = 5968591020", "Subtract: 5968591020 - (-8095) = 5968599115", "Subtract: -98334 - 5968599115 = -5968697449", "Subtract: -5968697449 - 30724 = -5968728173"], "final_answer": "-5968728173", "answer_type": "integer", "kind": "expression", "math_text": "-98334 - (73290 * 81438 - (-8095)) - 30724", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -98334, \"b\": 73290, \"c\": 81438, \"d\": -8095, \"e\": 30724}", "seed": "5450122397169925016", "semantic_fingerprint": "sha256:0df563ccd5f9eb57bc082ec70ff1a61a1467aabb03059eb96f5d30ec304b922f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003318", "prompt": "Solve for x: x - 84179 = 2562", "solution_steps": ["Add 84179 to both sides: x = 86741"], "final_answer": "86741", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 84179 = 2562", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84179, \"b\": 2562}", "seed": "5191332448423954112", "semantic_fingerprint": "sha256:92c2ba17e29f46d45526b04fc7b2086a433c4d1ac205f6843e4aaf5e2463e722", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003319", "prompt": "Calculate: 7300 * (-5799 - 7513) + (-8241 + 11989)", "solution_steps": ["Subtract: -5799 - 7513 = -13312", "Multiply: 7300 * (-13312) = -97177600", "Add: -8241 + 11989 = 3748", "Add: -97177600 + 3748 = -97173852"], "final_answer": "-97173852", "answer_type": "integer", "kind": "expression", "math_text": "7300 * (-5799 - 7513) + (-8241 + 11989)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7300, \"b\": -5799, \"c\": 7513, \"d\": -8241, \"e\": 11989}", "seed": "6831000951254476125", "semantic_fingerprint": "sha256:efc39bfa78b706aea799664cdfbaa9b6fc877f049e8f805d18146e86d1daff1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003320", "prompt": "Solve for x: x - 2010 = 16x", "solution_steps": ["Subtract 16x from both sides: -15x - 2010 = 0", "Add 2010 to both sides: -15x = 2010", "Divide both sides by -15: x = -134"], "final_answer": "-134", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2010 = 16x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"c\": -2010, \"x\": -134}", "seed": "18127811336197621272", "semantic_fingerprint": "sha256:aae765360c511a0687c284f253dd3545b80784f283bb4ed1573e6081ac99a250", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003321", "prompt": "What is 7520 * 10254 * (-11549 - (-1617))?", "solution_steps": ["Multiply: 7520 * 10254 = 77110080", "Subtract: -11549 - (-1617) = -9932", "Multiply: 77110080 * (-9932) = -765857314560"], "final_answer": "-765857314560", "answer_type": "integer", "kind": "expression", "math_text": "7520 * 10254 * (-11549 - (-1617))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7520, \"b\": 10254, \"c\": -11549, \"d\": -1617}", "seed": "8961830423795855390", "semantic_fingerprint": "sha256:f52e25bcbf48c42ca4b3739680d37c098991c3fd9cbf1fddc3352f4ba0b396f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003322", "prompt": "Solve the equation x = 26(x - 9585) - 29438 for x.", "solution_steps": ["Expand: x = 26x - 249210 - 29438", "Combine constants: x = 26x - 278648", "Subtract 26x from both sides: -25x = -278648", "Divide both sides by -25: x = 278648/25"], "final_answer": "278648/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 26(x - 9585) - 29438", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 9585, \"c\": 29438}", "seed": "17315511550355135781", "semantic_fingerprint": "sha256:8b2826a0be928a2e8f171ba087bc9abfd0fa58143f9a55eeca11dc6f533a1553", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003323", "prompt": "What is -13440 - (-8790 * (-6723 + 9313 / 2340) - (-5375))?", "solution_steps": ["Divide: 9313 / 2340 = 9313/2340", "Add: -6723 + 9313/2340 = -15722507/2340", "Multiply: -8790 * (-15722507/2340) = 4606694551/78", "Subtract: 4606694551/78 - (-5375) = 4607113801/78", "Subtract: -13440 - 4607113801/78 = -4608162121/78"], "final_answer": "-4608162121/78", "answer_type": "rational", "kind": "expression", "math_text": "-13440 - (-8790 * (-6723 + 9313 / 2340) - (-5375))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n (+ n (/ n n))) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13440, \"b\": -8790, \"c\": -6723, \"d\": 9313, \"e\": 2340, \"f\": -5375}", "seed": "9184456293832852100", "semantic_fingerprint": "sha256:2c152e0ea01aa1b4af21f3ced37992277154f8dff0e01c165668117580539eee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003324", "prompt": "Compute: 45916 * 3265 - (2085 + (-24493) - (-22968) + 49674)", "solution_steps": ["Multiply: 45916 * 3265 = 149915740", "Add: 2085 + (-24493) = -22408", "Subtract: -22408 - (-22968) = 560", "Add: 560 + 49674 = 50234", "Subtract: 149915740 - 50234 = 149865506"], "final_answer": "149865506", "answer_type": "integer", "kind": "expression", "math_text": "45916 * 3265 - (2085 + (-24493) - (-22968) + 49674)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (+ (- (+ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 45916, \"b\": 3265, \"c\": 2085, \"d\": -24493, \"e\": -22968, \"f\": 49674}", "seed": "4075036048611828732", "semantic_fingerprint": "sha256:de00c7da7d940673e79339166449651b1791a39fc7f266f90ebd7be1e42b9078", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003325", "prompt": "What is -28589 / 46102?", "solution_steps": ["Divide: -28589 / 46102 = -28589/46102"], "final_answer": "-28589/46102", "answer_type": "rational", "kind": "expression", "math_text": "-28589 / 46102", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28589, \"b\": 46102}", "seed": "13766979496505729911", "semantic_fingerprint": "sha256:c0dfcfc52450e8e9f11746a3bde9d7f79e5b2ccd9495eba81b413e7837effb96", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003326", "prompt": "Evaluate: -73184 * (-2197 + 26306) + 94618", "solution_steps": ["Add: -2197 + 26306 = 24109", "Multiply: -73184 * 24109 = -1764393056", "Add: -1764393056 + 94618 = -1764298438"], "final_answer": "-1764298438", "answer_type": "integer", "kind": "expression", "math_text": "-73184 * (-2197 + 26306) + 94618", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -73184, \"b\": -2197, \"c\": 26306, \"d\": 94618}", "seed": "12121958813078755687", "semantic_fingerprint": "sha256:1e325835ab264858d95f716b24620e6a9a4dbcef26ee4c1f3acac05efc369583", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003327", "prompt": "Solve the equation 20x + 52997 = 51897 for x.", "solution_steps": ["Subtract 52997 from both sides: 20x = -1100", "Divide both sides by 20: x = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 52997 = 51897", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 52997, \"d\": 51897, \"x\": -55}", "seed": "7069148232967781046", "semantic_fingerprint": "sha256:ae44399cb8443973295e99f666ca26d939199dc3b8927869b3946a13287745e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003328", "prompt": "Calculate: 7406 - (-7746 + (-2590))", "solution_steps": ["Add: -7746 + (-2590) = -10336", "Subtract: 7406 - (-10336) = 17742"], "final_answer": "17742", "answer_type": "integer", "kind": "expression", "math_text": "7406 - (-7746 + (-2590))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7406, \"b\": -7746, \"c\": -2590}", "seed": "14235506468624865806", "semantic_fingerprint": "sha256:2c4e99745df21119279502cf66ccb46ab00fd705fe76b4271c84a29b9793794e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003329", "prompt": "Calculate: (3975 - 4604) * 36864", "solution_steps": ["Subtract: 3975 - 4604 = -629", "Multiply: -629 * 36864 = -23187456"], "final_answer": "-23187456", "answer_type": "integer", "kind": "expression", "math_text": "(3975 - 4604) * 36864", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3975, \"b\": 4604, \"c\": 36864}", "seed": "12948239495140159754", "semantic_fingerprint": "sha256:b2c6abe04c28b951274db97538199b2f5ac54ddf5e3f99d6a6c74614c2cae12d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003330", "prompt": "Calculate: 1239 + 74990 + 99841", "solution_steps": ["Add: 1239 + 74990 = 76229", "Add: 76229 + 99841 = 176070"], "final_answer": "176070", "answer_type": "integer", "kind": "expression", "math_text": "1239 + 74990 + 99841", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1239, \"b\": 74990, \"c\": 99841}", "seed": "7909888879302512116", "semantic_fingerprint": "sha256:107cec2cdfa896f5ace122a617219949bb737171bd9f69be92c6cae565735cf9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003331", "prompt": "Find x: 14(x - 3262) - 32202 = -86343", "solution_steps": ["Expand: 14x - 45668 - 32202 = -86343", "Combine constants: 14x - 77870 = -86343", "Add 77870 to both sides: 14x = -8473", "Divide both sides by 14: x = -8473/14"], "final_answer": "-8473/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 3262) - 32202 = -86343", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 3262, \"c\": 32202, \"d\": -86343}", "seed": "16427071381496250890", "semantic_fingerprint": "sha256:46bc6fd4ae0ca7ae408b8ff0173bab211e1e5bf1c5f7e2475c44ae689b9e87e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003332", "prompt": "Compute: 22499 - (-46712 - 91975) - (8929 - (-5212))", "solution_steps": ["Subtract: -46712 - 91975 = -138687", "Subtract: 22499 - (-138687) = 161186", "Subtract: 8929 - (-5212) = 14141", "Subtract: 161186 - 14141 = 147045"], "final_answer": "147045", "answer_type": "integer", "kind": "expression", "math_text": "22499 - (-46712 - 91975) - (8929 - (-5212))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22499, \"b\": -46712, \"c\": 91975, \"d\": 8929, \"e\": -5212}", "seed": "18381695132826291475", "semantic_fingerprint": "sha256:08ed7e2d9838181398b02c519611dbce514671252ee754423a7571cca11f3e86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003333", "prompt": "Compute: (-91840 - 5911) / (-6546)", "solution_steps": ["Subtract: -91840 - 5911 = -97751", "Divide: -97751 / (-6546) = 97751/6546"], "final_answer": "97751/6546", "answer_type": "rational", "kind": "expression", "math_text": "(-91840 - 5911) / (-6546)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91840, \"b\": 5911, \"c\": -6546}", "seed": "6880707680199664177", "semantic_fingerprint": "sha256:741a7eb157079479df52a4ec5132f5106ffbafe0a03ff369b868110266319713", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003334", "prompt": "What is -4323 / 7741 + (-85776)?", "solution_steps": ["Divide: -4323 / 7741 = -4323/7741", "Add: -4323/7741 + (-85776) = -663996339/7741"], "final_answer": "-663996339/7741", "answer_type": "rational", "kind": "expression", "math_text": "-4323 / 7741 + (-85776)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4323, \"b\": 7741, \"c\": -85776}", "seed": "8808462923498205255", "semantic_fingerprint": "sha256:d61a6b217946072f11f42ab910294e50858f2f5cc6bc3cf975b345284fac7bf3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003335", "prompt": "Calculate: 7304 / 4108", "solution_steps": ["Divide: 7304 / 4108 = 1826/1027"], "final_answer": "1826/1027", "answer_type": "rational", "kind": "expression", "math_text": "7304 / 4108", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7304, \"b\": 4108}", "seed": "16480973063860783494", "semantic_fingerprint": "sha256:9439070647c6d4555c506fba2efecc2beaa59cbb50c2f030c7c6b4a1fba52836", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003336", "prompt": "Find x: 27(x + 8842) + 8742 = 15x - 87515", "solution_steps": ["Expand: 27x + 238734 + 8742 = 15x - 87515", "Combine constants: 27x + 247476 = 15x - 87515", "Subtract 15x from both sides: 12x + 247476 = -87515", "Subtract 247476 from both sides: 12x = -334991", "Divide both sides by 12: x = -334991/12"], "final_answer": "-334991/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 8842) + 8742 = 15x - 87515", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 8842, \"c\": 8742, \"d\": 15, \"e\": 87515}", "seed": "6411911708836259244", "semantic_fingerprint": "sha256:fc5586fba9397490e1cc2e7a4f246f944a82326b328b906a628aab068187dfa8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003337", "prompt": "Evaluate: -5673 - 7624", "solution_steps": ["Subtract: -5673 - 7624 = -13297"], "final_answer": "-13297", "answer_type": "integer", "kind": "expression", "math_text": "-5673 - 7624", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5673, \"b\": 7624}", "seed": "8911601625141922509", "semantic_fingerprint": "sha256:6d39a63f1ef564def752ac2424c0cb03a57045e61e72f623186ff1fa3a30e264", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003338", "prompt": "Evaluate: -39852 + (-4083 - 95034) / (-38990 - (-3920 - (-55401)))", "solution_steps": ["Subtract: -4083 - 95034 = -99117", "Subtract: -3920 - (-55401) = 51481", "Subtract: -38990 - 51481 = -90471", "Divide: -99117 / (-90471) = 33039/30157", "Add: -39852 + 33039/30157 = -1201783725/30157"], "final_answer": "-1201783725/30157", "answer_type": "rational", "kind": "expression", "math_text": "-39852 + (-4083 - 95034) / (-38990 - (-3920 - (-55401)))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n n) (- n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39852, \"b\": -4083, \"c\": 95034, \"d\": -38990, \"e\": -3920, \"f\": -55401}", "seed": "8372680473604561939", "semantic_fingerprint": "sha256:704907f74c2e1df793d62e63457292d9de47632fa91d3c45ff5ca3df685b37df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003339", "prompt": "Evaluate: (-98159 / 3411 + (-36816) / (-7839)) * 9218", "solution_steps": ["Divide: -98159 / 3411 = -98159/3411", "Divide: -36816 / (-7839) = 944/201", "Add: -98159/3411 + 944/201 = -5503325/228537", "Multiply: (-5503325/228537) * 9218 = -50729649850/228537"], "final_answer": "-50729649850/228537", "answer_type": "rational", "kind": "expression", "math_text": "(-98159 / 3411 + (-36816) / (-7839)) * 9218", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -98159, \"b\": 3411, \"c\": -36816, \"d\": -7839, \"e\": 9218}", "seed": "701643234620862658", "semantic_fingerprint": "sha256:ec3ac30a71b082787de9f3f8387fde8b8acd23dad67197ea02aaf0ed77650bb9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003340", "prompt": "Evaluate: (-4358 + 9096) * (-4673 * 7707)", "solution_steps": ["Add: -4358 + 9096 = 4738", "Multiply: -4673 * 7707 = -36014811", "Multiply: 4738 * (-36014811) = -170638174518"], "final_answer": "-170638174518", "answer_type": "integer", "kind": "expression", "math_text": "(-4358 + 9096) * (-4673 * 7707)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4358, \"b\": 9096, \"c\": -4673, \"d\": 7707}", "seed": "9594288483282999338", "semantic_fingerprint": "sha256:d28e67a6037a725a0fe87a7ec704fbd5dda1c3f46392dc93cc108600a32a8f5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003341", "prompt": "What value of x satisfies 22(x - 33625) = x?", "solution_steps": ["Expand: 22x - 739750 = x", "Subtract x from both sides: 21x - 739750 = 0", "Add 739750 to both sides: 21x = 739750", "Divide both sides by 21: x = 739750/21"], "final_answer": "739750/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 33625) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 33625}", "seed": "11030635769090174161", "semantic_fingerprint": "sha256:214ad2b29f371689afe7e10f43ab89b4020e2fe81d1a1af47267d3ec47eb39d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003342", "prompt": "What is -37858 + (-25247)?", "solution_steps": ["Add: -37858 + (-25247) = -63105"], "final_answer": "-63105", "answer_type": "integer", "kind": "expression", "math_text": "-37858 + (-25247)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -37858, \"b\": -25247}", "seed": "2401539303834384404", "semantic_fingerprint": "sha256:37c1e747d85addccea9c2b4c60d144682b174528e629205452c8d58776b9c4af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003343", "prompt": "What is 9524 + (-2303) - (-80486 + 27184) + (-7949 + 4463)?", "solution_steps": ["Add: 9524 + (-2303) = 7221", "Add: -80486 + 27184 = -53302", "Subtract: 7221 - (-53302) = 60523", "Add: -7949 + 4463 = -3486", "Add: 60523 + (-3486) = 57037"], "final_answer": "57037", "answer_type": "integer", "kind": "expression", "math_text": "9524 + (-2303) - (-80486 + 27184) + (-7949 + 4463)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9524, \"b\": -2303, \"c\": -80486, \"d\": 27184, \"e\": -7949, \"f\": 4463}", "seed": "6704538005494254302", "semantic_fingerprint": "sha256:cb3089ce50156abc32e0d8ce9ab93ff3934fc6978e69175c54efc259710026ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003344", "prompt": "Calculate: -3579 + 5633", "solution_steps": ["Add: -3579 + 5633 = 2054"], "final_answer": "2054", "answer_type": "integer", "kind": "expression", "math_text": "-3579 + 5633", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3579, \"b\": 5633}", "seed": "11915188755448444115", "semantic_fingerprint": "sha256:5851063ffbf35c10a81da3e6e63547f7072510a9daacc4d5e3e6a53de040ead3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003345", "prompt": "Compute: -5693 / (-7480) + (-98608)", "solution_steps": ["Divide: -5693 / (-7480) = 5693/7480", "Add: 5693/7480 + (-98608) = -737582147/7480"], "final_answer": "-737582147/7480", "answer_type": "rational", "kind": "expression", "math_text": "-5693 / (-7480) + (-98608)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5693, \"b\": -7480, \"c\": -98608}", "seed": "17040761141228599076", "semantic_fingerprint": "sha256:ebf942cd4485789146c4b3e08599624871354aee254b79709103637f41e938a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003346", "prompt": "Compute: -7956 - (-3981)", "solution_steps": ["Subtract: -7956 - (-3981) = -3975"], "final_answer": "-3975", "answer_type": "integer", "kind": "expression", "math_text": "-7956 - (-3981)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7956, \"b\": -3981}", "seed": "9812842804073022225", "semantic_fingerprint": "sha256:9f282253cbf5d972340f15fead5abcffa7c4815a5655944b1d20e6b8697b6ae1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003347", "prompt": "Compute: -5726 * (-1326)", "solution_steps": ["Multiply: -5726 * (-1326) = 7592676"], "final_answer": "7592676", "answer_type": "integer", "kind": "expression", "math_text": "-5726 * (-1326)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5726, \"b\": -1326}", "seed": "2651528574456640966", "semantic_fingerprint": "sha256:51ba0c69c36c65ee26fe74715ac49bbbeb4359b2f7afa923a40c7a0e6be6c5dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003348", "prompt": "Evaluate: -4069 - 8349 / (-9271)", "solution_steps": ["Divide: 8349 / (-9271) = -8349/9271", "Subtract: -4069 - (-8349/9271) = -37715350/9271"], "final_answer": "-37715350/9271", "answer_type": "rational", "kind": "expression", "math_text": "-4069 - 8349 / (-9271)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4069, \"b\": 8349, \"c\": -9271}", "seed": "8918560931821206379", "semantic_fingerprint": "sha256:c2916aea7af02ed4c0dc903fc5feff7198fa51bdd722368b3f4ca6c7910eb306", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003349", "prompt": "Evaluate: 8924 + (2893 + 47083) + 6504 / 10892", "solution_steps": ["Add: 2893 + 47083 = 49976", "Add: 8924 + 49976 = 58900", "Divide: 6504 / 10892 = 1626/2723", "Add: 58900 + 1626/2723 = 160386326/2723"], "final_answer": "160386326/2723", "answer_type": "rational", "kind": "expression", "math_text": "8924 + (2893 + 47083) + 6504 / 10892", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8924, \"b\": 2893, \"c\": 47083, \"d\": 6504, \"e\": 10892}", "seed": "4110718084438604228", "semantic_fingerprint": "sha256:23c00bf2f9f0a953e8f2c3920caa5fa6c5437e12fcab8fdf7f67c4341a353f8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003350", "prompt": "Evaluate: (1203 + (-1650)) * ((3563 - 5510) * (57412 - 3444))", "solution_steps": ["Add: 1203 + (-1650) = -447", "Subtract: 3563 - 5510 = -1947", "Subtract: 57412 - 3444 = 53968", "Multiply: -1947 * 53968 = -105075696", "Multiply: -447 * (-105075696) = 46968836112"], "final_answer": "46968836112", "answer_type": "integer", "kind": "expression", "math_text": "(1203 + (-1650)) * ((3563 - 5510) * (57412 - 3444))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* (- n n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1203, \"b\": -1650, \"c\": 3563, \"d\": 5510, \"e\": 57412, \"f\": 3444}", "seed": "16196930002077745515", "semantic_fingerprint": "sha256:a3eda3de8be92400180244fe4b4cb5feb0f2a6c58e77b6359e7926ac04d660dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003351", "prompt": "What is 3623 / (-2460 - (-92765))?", "solution_steps": ["Subtract: -2460 - (-92765) = 90305", "Divide: 3623 / 90305 = 3623/90305"], "final_answer": "3623/90305", "answer_type": "rational", "kind": "expression", "math_text": "3623 / (-2460 - (-92765))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3623, \"b\": -2460, \"c\": -92765}", "seed": "7912405731705893314", "semantic_fingerprint": "sha256:b0d5f44f055bfb02c07b8e7183f744e40a9a6d35b329d15107cdb895d068c85c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003352", "prompt": "Calculate: -2499 * (-31558 - (-6237)) / (-20958)", "solution_steps": ["Subtract: -31558 - (-6237) = -25321", "Multiply: -2499 * (-25321) = 63277179", "Divide: 63277179 / (-20958) = -3013199/998"], "final_answer": "-3013199/998", "answer_type": "rational", "kind": "expression", "math_text": "-2499 * (-31558 - (-6237)) / (-20958)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2499, \"b\": -31558, \"c\": -6237, \"d\": -20958}", "seed": "14115532187176693387", "semantic_fingerprint": "sha256:d9b170a7a31d76223f2bc153e6250668091eb17a7fd5500fbbc674b1c312c1eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003353", "prompt": "Solve the equation x + 5852 = 20(x + 97912) - 39746 for x.", "solution_steps": ["Expand: x + 5852 = 20x + 1958240 - 39746", "Combine constants: x + 5852 = 20x + 1918494", "Subtract 20x from both sides: -19x + 5852 = 1918494", "Subtract 5852 from both sides: -19x = 1912642", "Divide both sides by -19: x = -1912642/19"], "final_answer": "-1912642/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5852 = 20(x + 97912) - 39746", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5852, \"b\": 20, \"c\": 97912, \"d\": 39746}", "seed": "6805362569581171776", "semantic_fingerprint": "sha256:8d3d02a2f4d4f6edd1b0699546bb48515e27acafa85c20ccc3902b0bd73ea5b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003354", "prompt": "What value of x satisfies 13(x + 5716) - 6550 = 30x + 65888?", "solution_steps": ["Expand: 13x + 74308 - 6550 = 30x + 65888", "Combine constants: 13x + 67758 = 30x + 65888", "Subtract 30x from both sides: -17x + 67758 = 65888", "Subtract 67758 from both sides: -17x = -1870", "Divide both sides by -17: x = 110"], "final_answer": "110", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 5716) - 6550 = 30x + 65888", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 5716, \"c\": 6550, \"d\": 30, \"f\": 65888, \"x\": 110}", "seed": "14658758486100398166", "semantic_fingerprint": "sha256:4ce6a8a1c7f42fa3a8cb1a3da62ec6ed58fb1aa81ffd688577d78a69280a8f65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003355", "prompt": "What value of x satisfies 38x - 6438 = x?", "solution_steps": ["Subtract x from both sides: 37x - 6438 = 0", "Add 6438 to both sides: 37x = 6438", "Divide both sides by 37: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x - 6438 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": -6438, \"x\": 174}", "seed": "16347302061186275645", "semantic_fingerprint": "sha256:eb165cc8d2bb652710de41a080b389e671b30c2dbbae43fdf1858670c90735d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003356", "prompt": "Solve for x: 15x + 3941 = 3328", "solution_steps": ["Subtract 3941 from both sides: 15x = -613", "Divide both sides by 15: x = -613/15"], "final_answer": "-613/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x + 3941 = 3328", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 3941, \"c\": 3328}", "seed": "14505721657171020247", "semantic_fingerprint": "sha256:4b5ee5bb2b0606df91a76f584402ff82f0f9b65e639f23482ce31e71e9a258c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003357", "prompt": "Evaluate: -3321 * (-91616 * (-1021))", "solution_steps": ["Multiply: -91616 * (-1021) = 93539936", "Multiply: -3321 * 93539936 = -310646127456"], "final_answer": "-310646127456", "answer_type": "integer", "kind": "expression", "math_text": "-3321 * (-91616 * (-1021))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3321, \"b\": -91616, \"c\": -1021}", "seed": "2685570987517615959", "semantic_fingerprint": "sha256:9b5a40fdd45face7e6666a6e9170340b935a2ec4380f8113cf7b6ea370d5d02c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003358", "prompt": "Solve the equation 32x - 13436 = x + 5922 for x.", "solution_steps": ["Subtract x from both sides: 31x - 13436 = 5922", "Add 13436 to both sides: 31x = 19358", "Divide both sides by 31: x = 19358/31"], "final_answer": "19358/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x - 13436 = x + 5922", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 13436, \"c\": 5922}", "seed": "12957266949645468681", "semantic_fingerprint": "sha256:2b557f2c2b15047d168df143064c892939238a844b848dd0538159c166d30788", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003359", "prompt": "Compute: -6400 - (-46381)", "solution_steps": ["Subtract: -6400 - (-46381) = 39981"], "final_answer": "39981", "answer_type": "integer", "kind": "expression", "math_text": "-6400 - (-46381)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6400, \"b\": -46381}", "seed": "18281743311600386048", "semantic_fingerprint": "sha256:602b16931bca5d1a895fd41aa1e9d88fcbf7f533c62f9dda16b7cffd4328cc5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003360", "prompt": "Compute: (-6749 + (-6315)) * 50081", "solution_steps": ["Add: -6749 + (-6315) = -13064", "Multiply: -13064 * 50081 = -654258184"], "final_answer": "-654258184", "answer_type": "integer", "kind": "expression", "math_text": "(-6749 + (-6315)) * 50081", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6749, \"b\": -6315, \"c\": 50081}", "seed": "8581398832551877134", "semantic_fingerprint": "sha256:29285b3fc25591dfbd2437ebbd1a817c06f6a39b04156d4f9430adbc7eefffa7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003361", "prompt": "What is -54759 * 38215?", "solution_steps": ["Multiply: -54759 * 38215 = -2092615185"], "final_answer": "-2092615185", "answer_type": "integer", "kind": "expression", "math_text": "-54759 * 38215", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -54759, \"b\": 38215}", "seed": "2145367404755305421", "semantic_fingerprint": "sha256:cfbb9e9bcf044f6e750a1eb7473dabc878675bbc14570e711c4fdff64830858b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003362", "prompt": "Solve the equation 23x + 1840 = -17x for x.", "solution_steps": ["Add 17x to both sides: 40x + 1840 = 0", "Subtract 1840 from both sides: 40x = -1840", "Divide both sides by 40: x = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 1840 = -17x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": -17, \"d\": 1840, \"x\": -46}", "seed": "16297946777711064111", "semantic_fingerprint": "sha256:03ba4a237e02eaa0fe1749f03767eef2e73be7bd8fc2e6f85acdd929732767fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003363", "prompt": "Compute: 69804 * 6218 / 7959", "solution_steps": ["Multiply: 69804 * 6218 = 434041272", "Divide: 434041272 / 7959 = 20668632/379"], "final_answer": "20668632/379", "answer_type": "rational", "kind": "expression", "math_text": "69804 * 6218 / 7959", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69804, \"b\": 6218, \"c\": 7959}", "seed": "7723698016066704529", "semantic_fingerprint": "sha256:517a97e60fa541d025ac94bd6da1847d4f93eecd80194bff3a3994be4fcb9a05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003364", "prompt": "Solve for x: 25x + 8291 = 6666", "solution_steps": ["Subtract 8291 from both sides: 25x = -1625", "Divide both sides by 25: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x + 8291 = 6666", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 8291, \"d\": 6666, \"x\": -65}", "seed": "15755577350308274093", "semantic_fingerprint": "sha256:8c1aa1ccd28c10d6968740cf9ea9e1617844c5c5d30ac9a9a7db7264009b90ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003365", "prompt": "Compute: 10776 * 1967 * 7674 + (-2852)", "solution_steps": ["Multiply: 10776 * 1967 = 21196392", "Multiply: 21196392 * 7674 = 162661112208", "Add: 162661112208 + (-2852) = 162661109356"], "final_answer": "162661109356", "answer_type": "integer", "kind": "expression", "math_text": "10776 * 1967 * 7674 + (-2852)", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10776, \"b\": 1967, \"c\": 7674, \"d\": -2852}", "seed": "14756890410845831459", "semantic_fingerprint": "sha256:726a7489deb7e38e97d9950835333e19bbaa72e16b894947c3ae6677db378c0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003366", "prompt": "Solve for x: 21(x + 4762) - 8665 = 30(x + 4246) - 95237", "solution_steps": ["Expand: 21x + 100002 - 8665 = 30(x + 4246) - 95237", "Expand: 21x + 100002 - 8665 = 30x + 127380 - 95237", "Combine constants: 21x + 91337 = 30x + 127380 - 95237", "Combine constants: 21x + 91337 = 30x + 32143", "Subtract 30x from both sides: -9x + 91337 = 32143", "Subtract 91337 from both sides: -9x = -59194", "Divide both sides by -9: x = 59194/9"], "final_answer": "59194/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 4762) - 8665 = 30(x + 4246) - 95237", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4762, \"c\": 8665, \"d\": 30, \"e\": 4246, \"f\": 95237}", "seed": "3084095059659353576", "semantic_fingerprint": "sha256:a5f90c6bdf8fe96d14f83691c390353ef3216b9066b45cbfcaa609f21a664698", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003367", "prompt": "What value of x satisfies -37x - 3474 = x - 2334?", "solution_steps": ["Subtract x from both sides: -38x - 3474 = -2334", "Add 3474 to both sides: -38x = 1140", "Divide both sides by -38: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x - 3474 = x - 2334", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 3474, \"d\": -2334, \"x\": -30}", "seed": "5578218504029715427", "semantic_fingerprint": "sha256:416befa92d2fd0c8880537906e7a1c78d7f00c99dd9db298ba1c90bb80360d95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003368", "prompt": "Calculate: -9245 + (-5277) - (-20425 - (-58625) + 26286)", "solution_steps": ["Add: -9245 + (-5277) = -14522", "Subtract: -20425 - (-58625) = 38200", "Add: 38200 + 26286 = 64486", "Subtract: -14522 - 64486 = -79008"], "final_answer": "-79008", "answer_type": "integer", "kind": "expression", "math_text": "-9245 + (-5277) - (-20425 - (-58625) + 26286)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9245, \"b\": -5277, \"c\": -20425, \"d\": -58625, \"e\": 26286}", "seed": "12547355033583340388", "semantic_fingerprint": "sha256:033106d29412e108a34577eb254cd1029b20cb217821cc21368992873e61fada", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003369", "prompt": "Compute: 75921 + (-84233) / (-28638 / (-1402))", "solution_steps": ["Divide: -28638 / (-1402) = 14319/701", "Divide: -84233 / (14319/701) = -59047333/14319", "Add: 75921 + (-59047333/14319) = 1028065466/14319"], "final_answer": "1028065466/14319", "answer_type": "rational", "kind": "expression", "math_text": "75921 + (-84233) / (-28638 / (-1402))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 75921, \"b\": -84233, \"c\": -28638, \"d\": -1402}", "seed": "5062578534784883441", "semantic_fingerprint": "sha256:de6d723836b6cd6130c04ac69b5b9810f176a6f36a97504f86f4f845735cb0d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003370", "prompt": "What is -37811 * (-1415 * (-2735))?", "solution_steps": ["Multiply: -1415 * (-2735) = 3870025", "Multiply: -37811 * 3870025 = -146329515275"], "final_answer": "-146329515275", "answer_type": "integer", "kind": "expression", "math_text": "-37811 * (-1415 * (-2735))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37811, \"b\": -1415, \"c\": -2735}", "seed": "9329726585331702826", "semantic_fingerprint": "sha256:c98e98012aebc0317e101e5cd7a0cdcb7cf6c3192db645cecc948ceb85187377", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003371", "prompt": "Calculate: -4294 * 2496", "solution_steps": ["Multiply: -4294 * 2496 = -10717824"], "final_answer": "-10717824", "answer_type": "integer", "kind": "expression", "math_text": "-4294 * 2496", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4294, \"b\": 2496}", "seed": "5391866959555751946", "semantic_fingerprint": "sha256:1ca4d7f37271c8505be2550bde9aade4cbec0277e85bcf36ce6baf0afce0adc0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003372", "prompt": "Solve the equation 27(x - 9557) = 30(x - 9567) + 29100 for x.", "solution_steps": ["Expand: 27x - 258039 = 30(x - 9567) + 29100", "Expand: 27x - 258039 = 30x - 287010 + 29100", "Combine constants: 27x - 258039 = 30x - 257910", "Subtract 30x from both sides: -3x - 258039 = -257910", "Add 258039 to both sides: -3x = 129", "Divide both sides by -3: x = -43"], "final_answer": "-43", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x - 9557) = 30(x - 9567) + 29100", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 9557, \"c\": 30, \"d\": 9567, \"f\": 29100, \"x\": -43}", "seed": "4360520356424525627", "semantic_fingerprint": "sha256:9fcdaf946a28cbf32520838402ca25dcb85c7c42c63a5ed93d74dcf673b0a31d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003373", "prompt": "Solve for x: -29x = -28(x + 7740)", "solution_steps": ["Expand: -29x = -28x - 216720", "Add 28x to both sides: -x = -216720", "Divide both sides by -1: x = 216720"], "final_answer": "216720", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x = -28(x + 7740)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": -28, \"c\": 7740}", "seed": "3205540369693271079", "semantic_fingerprint": "sha256:6e9c6fb9543116111e4e28929104d490629229d106f60a7fa2bc3d6f7e754315", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003374", "prompt": "Evaluate: -5003 * 2561 + 3816 / (23900 * (3784 - 3780))", "solution_steps": ["Multiply: -5003 * 2561 = -12812683", "Subtract: 3784 - 3780 = 4", "Multiply: 23900 * 4 = 95600", "Divide: 3816 / 95600 = 477/11950", "Add: -12812683 + 477/11950 = -153111561373/11950"], "final_answer": "-153111561373/11950", "answer_type": "rational", "kind": "expression", "math_text": "-5003 * 2561 + 3816 / (23900 * (3784 - 3780))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (/ n (* n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5003, \"b\": 2561, \"c\": 3816, \"d\": 23900, \"e\": 3784, \"f\": 3780}", "seed": "1478854086746042541", "semantic_fingerprint": "sha256:bca206fde0a4de2a2dccaf2c10afb87a6a138ba764d0ab4401bda02b51ebc189", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003375", "prompt": "Compute: 7039 - (7994 - (-55159))", "solution_steps": ["Subtract: 7994 - (-55159) = 63153", "Subtract: 7039 - 63153 = -56114"], "final_answer": "-56114", "answer_type": "integer", "kind": "expression", "math_text": "7039 - (7994 - (-55159))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7039, \"b\": 7994, \"c\": -55159}", "seed": "4254338695943673442", "semantic_fingerprint": "sha256:185a6ad3bdd69acbf514401b5e553d9bca62ce2604eab9850e875d4c94fa0bf2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003376", "prompt": "Find x: x - 17924 = -35x - 23540", "solution_steps": ["Add 35x to both sides: 36x - 17924 = -23540", "Add 17924 to both sides: 36x = -5616", "Divide both sides by 36: x = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 17924 = -35x - 23540", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17924, \"b\": -35, \"d\": -23540, \"x\": -156}", "seed": "9230310974547684894", "semantic_fingerprint": "sha256:34231c135c51a35ea5ba918f130bc45afeec94c73790681f21e1d6fff3939e0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003377", "prompt": "Calculate: -6335 / (-33220 + (69906 - 5365) - 54616)", "solution_steps": ["Subtract: 69906 - 5365 = 64541", "Add: -33220 + 64541 = 31321", "Subtract: 31321 - 54616 = -23295", "Divide: -6335 / (-23295) = 1267/4659"], "final_answer": "1267/4659", "answer_type": "rational", "kind": "expression", "math_text": "-6335 / (-33220 + (69906 - 5365) - 54616)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6335, \"b\": -33220, \"c\": 69906, \"d\": 5365, \"e\": 54616}", "seed": "6577405744519776087", "semantic_fingerprint": "sha256:26e8b7e1ffa2d98dadbcf31b98f50fa8ca8ef68addb8b56adcfb48ffa87be730", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003378", "prompt": "What is -76567 * 5422?", "solution_steps": ["Multiply: -76567 * 5422 = -415146274"], "final_answer": "-415146274", "answer_type": "integer", "kind": "expression", "math_text": "-76567 * 5422", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -76567, \"b\": 5422}", "seed": "2149904080613054520", "semantic_fingerprint": "sha256:e722282c451fcf491bb960320b2523eb689ab54c2b88bb7af3ce599167295dbb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003379", "prompt": "What is -6907 / 74244 - (9609 - (-8978))?", "solution_steps": ["Divide: -6907 / 74244 = -6907/74244", "Subtract: 9609 - (-8978) = 18587", "Subtract: -6907/74244 - 18587 = -1379980135/74244"], "final_answer": "-1379980135/74244", "answer_type": "rational", "kind": "expression", "math_text": "-6907 / 74244 - (9609 - (-8978))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6907, \"b\": 74244, \"c\": 9609, \"d\": -8978}", "seed": "1221530133598230449", "semantic_fingerprint": "sha256:88ff2d89f412ce20b2ca59b29ec10f9ad763e5ac64e654d4f3a26a88c155890c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003380", "prompt": "Evaluate: -9929 * (-34910)", "solution_steps": ["Multiply: -9929 * (-34910) = 346621390"], "final_answer": "346621390", "answer_type": "integer", "kind": "expression", "math_text": "-9929 * (-34910)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9929, \"b\": -34910}", "seed": "1805094573899980109", "semantic_fingerprint": "sha256:6bf52558cbaeacb2d5414674dd865ff1bc2952fe64cceb6b179f52da98fa2b7a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003381", "prompt": "Find x: x = 33x + 6806", "solution_steps": ["Subtract 33x from both sides: -32x = 6806", "Divide both sides by -32: x = -3403/16"], "final_answer": "-3403/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 33x + 6806", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 6806}", "seed": "8558413278751293851", "semantic_fingerprint": "sha256:30f8bae6ec944e19d0a9eeff354988b714af10f72d38c04e9acd150d46aae525", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003382", "prompt": "Calculate: -9442 / 3894", "solution_steps": ["Divide: -9442 / 3894 = -4721/1947"], "final_answer": "-4721/1947", "answer_type": "rational", "kind": "expression", "math_text": "-9442 / 3894", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9442, \"b\": 3894}", "seed": "10788584736549203792", "semantic_fingerprint": "sha256:e4d9533f5903a993d4c7af8d099a087c06a10a8c5d4fa83ff8188bf7f8be23ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003383", "prompt": "Evaluate: -3028 * 9289", "solution_steps": ["Multiply: -3028 * 9289 = -28127092"], "final_answer": "-28127092", "answer_type": "integer", "kind": "expression", "math_text": "-3028 * 9289", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3028, \"b\": 9289}", "seed": "6568857419651761348", "semantic_fingerprint": "sha256:2b40f09c58ee6ceb80516c1832fa91248f4675f34c41c6753fdcc33e64bea487", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003384", "prompt": "Evaluate: -6977 + (-60032 - (7256 + 56751 + (-73340 + 3153)))", "solution_steps": ["Add: 7256 + 56751 = 64007", "Add: -73340 + 3153 = -70187", "Add: 64007 + (-70187) = -6180", "Subtract: -60032 - (-6180) = -53852", "Add: -6977 + (-53852) = -60829"], "final_answer": "-60829", "answer_type": "integer", "kind": "expression", "math_text": "-6977 + (-60032 - (7256 + 56751 + (-73340 + 3153)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (+ (+ n n) (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6977, \"b\": -60032, \"c\": 7256, \"d\": 56751, \"e\": -73340, \"f\": 3153}", "seed": "8847662121535644279", "semantic_fingerprint": "sha256:d97593b0a9804211d7c881b0edba7de28303dc80a9f555183ff9dc18df34b4c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003385", "prompt": "Compute: -4503 / 85687 + (-9383)", "solution_steps": ["Divide: -4503 / 85687 = -4503/85687", "Add: -4503/85687 + (-9383) = -804005624/85687"], "final_answer": "-804005624/85687", "answer_type": "rational", "kind": "expression", "math_text": "-4503 / 85687 + (-9383)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4503, \"b\": 85687, \"c\": -9383}", "seed": "7005116053331773417", "semantic_fingerprint": "sha256:5a63c77b75ff8fb0639ed3a94699aa371ec4b955e87907fda34573c6083f17db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003386", "prompt": "What is 29294 + (51194 + (-32474) / 79353)?", "solution_steps": ["Divide: -32474 / 79353 = -32474/79353", "Add: 51194 + (-32474/79353) = 4062365008/79353", "Add: 29294 + 4062365008/79353 = 6386931790/79353"], "final_answer": "6386931790/79353", "answer_type": "rational", "kind": "expression", "math_text": "29294 + (51194 + (-32474) / 79353)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29294, \"b\": 51194, \"c\": -32474, \"d\": 79353}", "seed": "8595996541846860362", "semantic_fingerprint": "sha256:a1c14815210c11eccf6017c2717c85e948a330ad2b61528e8677804ecb2e4eaa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003387", "prompt": "Solve for x: x + 1935 = -29259", "solution_steps": ["Subtract 1935 from both sides: x = -31194"], "final_answer": "-31194", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1935 = -29259", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1935, \"b\": -29259}", "seed": "12076723766821344763", "semantic_fingerprint": "sha256:792520a2929a24ddc3e83cd3d80baec4c91014008504282444e0e3950159caef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003388", "prompt": "Calculate: 18312 * (9182 + (-7345) - (-8319) / (-6293 - (-81872)))", "solution_steps": ["Add: 9182 + (-7345) = 1837", "Subtract: -6293 - (-81872) = 75579", "Divide: -8319 / 75579 = -47/427", "Subtract: 1837 - (-47/427) = 784446/427", "Multiply: 18312 * (784446/427) = 2052110736/61"], "final_answer": "2052110736/61", "answer_type": "rational", "kind": "expression", "math_text": "18312 * (9182 + (-7345) - (-8319) / (-6293 - (-81872)))", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n n) (/ n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18312, \"b\": 9182, \"c\": -7345, \"d\": -8319, \"e\": -6293, \"f\": -81872}", "seed": "11977524314572147843", "semantic_fingerprint": "sha256:52a32b46d0aea5c32f92f2975359f464bc5bd12f8138d4667d8a02eeab6e6474", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003389", "prompt": "Calculate: -7233 * (2874 * 2779) - (6690 + (1104 - (-4776)))", "solution_steps": ["Multiply: 2874 * 2779 = 7986846", "Multiply: -7233 * 7986846 = -57768857118", "Subtract: 1104 - (-4776) = 5880", "Add: 6690 + 5880 = 12570", "Subtract: -57768857118 - 12570 = -57768869688"], "final_answer": "-57768869688", "answer_type": "integer", "kind": "expression", "math_text": "-7233 * (2874 * 2779) - (6690 + (1104 - (-4776)))", "variable": null, "family": "expression_5op", "shape": "(- (* n (* n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7233, \"b\": 2874, \"c\": 2779, \"d\": 6690, \"e\": 1104, \"f\": -4776}", "seed": "16149459944066047510", "semantic_fingerprint": "sha256:cea6551da0c2ebc6f76a21f514fa8e3580fd8d72adfe798c1fa26060cd19a70d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003390", "prompt": "Evaluate: (-9690 + (-8590 - 24441)) / (-6440)", "solution_steps": ["Subtract: -8590 - 24441 = -33031", "Add: -9690 + (-33031) = -42721", "Divide: -42721 / (-6440) = 6103/920"], "final_answer": "6103/920", "answer_type": "rational", "kind": "expression", "math_text": "(-9690 + (-8590 - 24441)) / (-6440)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9690, \"b\": -8590, \"c\": 24441, \"d\": -6440}", "seed": "12876429029017588528", "semantic_fingerprint": "sha256:b946385bf9169782f38ae2f028dbe08ec98531d072f3bf83fb70987ad31d28bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003391", "prompt": "Solve for x: 39(x + 8546) - 52159 = -37(x - 56389)", "solution_steps": ["Expand: 39x + 333294 - 52159 = -37(x - 56389)", "Expand: 39x + 333294 - 52159 = -37x + 2086393", "Combine constants: 39x + 281135 = -37x + 2086393", "Add 37x to both sides: 76x + 281135 = 2086393", "Subtract 281135 from both sides: 76x = 1805258", "Divide both sides by 76: x = 902629/38"], "final_answer": "902629/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 8546) - 52159 = -37(x - 56389)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 8546, \"c\": 52159, \"d\": -37, \"e\": 56389}", "seed": "10698297684102852838", "semantic_fingerprint": "sha256:b2bda919b86f6b045da0738741c6723ab690caaedf65b5605c6225989f334e03", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003392", "prompt": "What value of x satisfies x = 14(x + 6714)?", "solution_steps": ["Expand: x = 14x + 93996", "Subtract 14x from both sides: -13x = 93996", "Divide both sides by -13: x = -93996/13"], "final_answer": "-93996/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 14(x + 6714)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6714}", "seed": "7307330257938136408", "semantic_fingerprint": "sha256:6b4534c8a645a1b8042c1cee116e4c9156ea542759997607802038d588471b2a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003393", "prompt": "Find x: 35(x + 13525) + 4958 = -37x", "solution_steps": ["Expand: 35x + 473375 + 4958 = -37x", "Combine constants: 35x + 478333 = -37x", "Add 37x to both sides: 72x + 478333 = 0", "Subtract 478333 from both sides: 72x = -478333", "Divide both sides by 72: x = -478333/72"], "final_answer": "-478333/72", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 13525) + 4958 = -37x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 13525, \"c\": 4958, \"d\": -37}", "seed": "12270151987212243691", "semantic_fingerprint": "sha256:3e435b22944eb9a27978bfbeead298a5663e7e081cc21b9a820463d604c991b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003394", "prompt": "Evaluate: -2037 * (-9239)", "solution_steps": ["Multiply: -2037 * (-9239) = 18819843"], "final_answer": "18819843", "answer_type": "integer", "kind": "expression", "math_text": "-2037 * (-9239)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2037, \"b\": -9239}", "seed": "11115001748529023415", "semantic_fingerprint": "sha256:48afb1e441dad96b378857eef392ad254ad7ad3baa85abb9f76d1db4ae0b6159", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003395", "prompt": "Evaluate: (17739 + (1066 + 37065)) * 3801", "solution_steps": ["Add: 1066 + 37065 = 38131", "Add: 17739 + 38131 = 55870", "Multiply: 55870 * 3801 = 212361870"], "final_answer": "212361870", "answer_type": "integer", "kind": "expression", "math_text": "(17739 + (1066 + 37065)) * 3801", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17739, \"b\": 1066, \"c\": 37065, \"d\": 3801}", "seed": "3716670382834143595", "semantic_fingerprint": "sha256:9e3a8efa28fc240828d448de57d1e241140ba7214c5595c593647004ce5b4ea7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003396", "prompt": "Evaluate: 46165 - (-7944) / (53660 + 7351 + (-6335))", "solution_steps": ["Add: 53660 + 7351 = 61011", "Add: 61011 + (-6335) = 54676", "Divide: -7944 / 54676 = -1986/13669", "Subtract: 46165 - (-1986/13669) = 631031371/13669"], "final_answer": "631031371/13669", "answer_type": "rational", "kind": "expression", "math_text": "46165 - (-7944) / (53660 + 7351 + (-6335))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 46165, \"b\": -7944, \"c\": 53660, \"d\": 7351, \"e\": -6335}", "seed": "13061174343300268007", "semantic_fingerprint": "sha256:a754def336726149590c7bbed76f33fca9cb1d43a5bcc8e2b7211625af0a845f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003397", "prompt": "Solve the equation 27x + 6130 = -20x + 12475 for x.", "solution_steps": ["Add 20x to both sides: 47x + 6130 = 12475", "Subtract 6130 from both sides: 47x = 6345", "Divide both sides by 47: x = 135"], "final_answer": "135", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x + 6130 = -20x + 12475", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 6130, \"c\": -20, \"e\": 12475, \"x\": 135}", "seed": "7586739996475174568", "semantic_fingerprint": "sha256:5227bc28c59519a5231bb0ce20af154dcdaa1266e08e39ed7991caa69cead9a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003398", "prompt": "What value of x satisfies x - 5793 = -5959?", "solution_steps": ["Add 5793 to both sides: x = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5793 = -5959", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5793, \"c\": -5959, \"x\": -166}", "seed": "14158943925870924280", "semantic_fingerprint": "sha256:485ed8684315abec38337937968a2a2833993f0500e3ba01d75b1ae84151576e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003399", "prompt": "Evaluate: -6439 * (-9956) - 9638 * (-1872)", "solution_steps": ["Multiply: -6439 * (-9956) = 64106684", "Multiply: 9638 * (-1872) = -18042336", "Subtract: 64106684 - (-18042336) = 82149020"], "final_answer": "82149020", "answer_type": "integer", "kind": "expression", "math_text": "-6439 * (-9956) - 9638 * (-1872)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6439, \"b\": -9956, \"c\": 9638, \"d\": -1872}", "seed": "17326465970751020630", "semantic_fingerprint": "sha256:cfe95a85ea3ad23a00a71cfeaafc8bd26c53aaa3e2bfc7f2de49e0167737d918", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003400", "prompt": "Compute: (-47041 - (-76460 - (-5659) - 98874)) * 9064", "solution_steps": ["Subtract: -76460 - (-5659) = -70801", "Subtract: -70801 - 98874 = -169675", "Subtract: -47041 - (-169675) = 122634", "Multiply: 122634 * 9064 = 1111554576"], "final_answer": "1111554576", "answer_type": "integer", "kind": "expression", "math_text": "(-47041 - (-76460 - (-5659) - 98874)) * 9064", "variable": null, "family": "expression_4op", "shape": "(* (- n (- (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -47041, \"b\": -76460, \"c\": -5659, \"d\": 98874, \"e\": 9064}", "seed": "15910468526254775030", "semantic_fingerprint": "sha256:fbde1db7508b40019dd488f90bf4647a1f851fddae463cdc4638b0c7fba295f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003401", "prompt": "Evaluate: -6485 / (-5841)", "solution_steps": ["Divide: -6485 / (-5841) = 6485/5841"], "final_answer": "6485/5841", "answer_type": "rational", "kind": "expression", "math_text": "-6485 / (-5841)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6485, \"b\": -5841}", "seed": "12664994187853130181", "semantic_fingerprint": "sha256:824da907e5cd3b3e85fe0b71ddad0d0cb2604d420705bcd51648a3237eebdb8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003402", "prompt": "Calculate: (2593 + 79821) / (7969 - (-83550))", "solution_steps": ["Add: 2593 + 79821 = 82414", "Subtract: 7969 - (-83550) = 91519", "Divide: 82414 / 91519 = 82414/91519"], "final_answer": "82414/91519", "answer_type": "rational", "kind": "expression", "math_text": "(2593 + 79821) / (7969 - (-83550))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2593, \"b\": 79821, \"c\": 7969, \"d\": -83550}", "seed": "11225143430995177956", "semantic_fingerprint": "sha256:d4019dcc6d373e4c656561d0d11233214d1d2bc2d6fdf307d4c303b3d4438d30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003403", "prompt": "Calculate: (-2231 - 45902 + 2548) / (-78267)", "solution_steps": ["Subtract: -2231 - 45902 = -48133", "Add: -48133 + 2548 = -45585", "Divide: -45585 / (-78267) = 15195/26089"], "final_answer": "15195/26089", "answer_type": "rational", "kind": "expression", "math_text": "(-2231 - 45902 + 2548) / (-78267)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2231, \"b\": 45902, \"c\": 2548, \"d\": -78267}", "seed": "17632505605969135363", "semantic_fingerprint": "sha256:d63a84e9a6c021a2cc666b20846c6ce42aca701b4aae8987f4600c354a64dd9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003404", "prompt": "Solve the equation 15(x + 1898) + 31449 = -35x + 5662 for x.", "solution_steps": ["Expand: 15x + 28470 + 31449 = -35x + 5662", "Combine constants: 15x + 59919 = -35x + 5662", "Add 35x to both sides: 50x + 59919 = 5662", "Subtract 59919 from both sides: 50x = -54257", "Divide both sides by 50: x = -54257/50"], "final_answer": "-54257/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 1898) + 31449 = -35x + 5662", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 1898, \"c\": 31449, \"d\": -35, \"e\": 5662}", "seed": "18143510982091229737", "semantic_fingerprint": "sha256:a2d742efe33ec0eedf843d938c0620595a30a71a7ea1072392e2332d857c957c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003405", "prompt": "Calculate: 9134 * (-6787) / (-3826)", "solution_steps": ["Multiply: 9134 * (-6787) = -61992458", "Divide: -61992458 / (-3826) = 30996229/1913"], "final_answer": "30996229/1913", "answer_type": "rational", "kind": "expression", "math_text": "9134 * (-6787) / (-3826)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9134, \"b\": -6787, \"c\": -3826}", "seed": "17537514460284009318", "semantic_fingerprint": "sha256:e561d8dcb600a6c15e8a037618cb692fc49aaf79f71ebfd761a423e90ce430e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003406", "prompt": "Find x: -26x = 35x - 10980", "solution_steps": ["Subtract 35x from both sides: -61x = -10980", "Divide both sides by -61: x = 180"], "final_answer": "180", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x = 35x - 10980", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 35, \"d\": -10980, \"x\": 180}", "seed": "17129705235142671542", "semantic_fingerprint": "sha256:b5e3c3dff41793aa10655e21e1de5e7834e282567e5c33815f686d76e2d7de9f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003407", "prompt": "What is -50558 * (-9695) - (-63611)?", "solution_steps": ["Multiply: -50558 * (-9695) = 490159810", "Subtract: 490159810 - (-63611) = 490223421"], "final_answer": "490223421", "answer_type": "integer", "kind": "expression", "math_text": "-50558 * (-9695) - (-63611)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -50558, \"b\": -9695, \"c\": -63611}", "seed": "16986270909534366849", "semantic_fingerprint": "sha256:52d78d48c4950fde179c3532a1860b58fc62794581da141032ec2639d6ed1f1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003408", "prompt": "What is -8182 * (-5139)?", "solution_steps": ["Multiply: -8182 * (-5139) = 42047298"], "final_answer": "42047298", "answer_type": "integer", "kind": "expression", "math_text": "-8182 * (-5139)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8182, \"b\": -5139}", "seed": "1991158150602723052", "semantic_fingerprint": "sha256:06319da61ab5be96a6ef98a487d0b8f2364a6640cda01143705e3a60a9a17e21", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003409", "prompt": "Evaluate: 6491 * 25367", "solution_steps": ["Multiply: 6491 * 25367 = 164657197"], "final_answer": "164657197", "answer_type": "integer", "kind": "expression", "math_text": "6491 * 25367", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6491, \"b\": 25367}", "seed": "6090045626850905367", "semantic_fingerprint": "sha256:006fb349d27fa251627784359ea5e3f66d3284abc86016fac3a187d48b278ebe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003410", "prompt": "Compute: -1207 * (-3051 + 9594) / 1354", "solution_steps": ["Add: -3051 + 9594 = 6543", "Multiply: -1207 * 6543 = -7897401", "Divide: -7897401 / 1354 = -7897401/1354"], "final_answer": "-7897401/1354", "answer_type": "rational", "kind": "expression", "math_text": "-1207 * (-3051 + 9594) / 1354", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1207, \"b\": -3051, \"c\": 9594, \"d\": 1354}", "seed": "14632406916855996585", "semantic_fingerprint": "sha256:869ec8b6ce0dd326b7113c31019969bb8a7e4c6f2371f9dbb8282b91a599b598", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003411", "prompt": "Solve for x: -19(x - 3053) + 4712 = 66405", "solution_steps": ["Expand: -19x + 58007 + 4712 = 66405", "Combine constants: -19x + 62719 = 66405", "Subtract 62719 from both sides: -19x = 3686", "Divide both sides by -19: x = -194"], "final_answer": "-194", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x - 3053) + 4712 = 66405", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 3053, \"c\": 4712, \"e\": 66405, \"x\": -194}", "seed": "11770680950086205609", "semantic_fingerprint": "sha256:75eaf5dcdd3f78a41ae54677fe1ee333ea91b8b2149bb42e8b8e2e7fa28cdfac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003412", "prompt": "Solve for x: 40(x - 72524) - 43810 = 14x - 51262", "solution_steps": ["Expand: 40x - 2900960 - 43810 = 14x - 51262", "Combine constants: 40x - 2944770 = 14x - 51262", "Subtract 14x from both sides: 26x - 2944770 = -51262", "Add 2944770 to both sides: 26x = 2893508", "Divide both sides by 26: x = 1446754/13"], "final_answer": "1446754/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 72524) - 43810 = 14x - 51262", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 72524, \"c\": 43810, \"d\": 14, \"e\": 51262}", "seed": "13338960127185918452", "semantic_fingerprint": "sha256:17e2a1f485dbd6a7e9f37d3538c159870beb538bb8fddd8da27906fa33152dd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003413", "prompt": "Find x: -16x = 39x", "solution_steps": ["Subtract 39x from both sides: -55x = 0", "Divide both sides by -55: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x = 39x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 39}", "seed": "9713495264193395322", "semantic_fingerprint": "sha256:e1ca347c0036104ae92b3c1b76fa9e84eaa1c942dfc409d6decc3248e26b8cb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003414", "prompt": "Solve for x: 37(x + 47481) = x", "solution_steps": ["Expand: 37x + 1756797 = x", "Subtract x from both sides: 36x + 1756797 = 0", "Subtract 1756797 from both sides: 36x = -1756797", "Divide both sides by 36: x = -585599/12"], "final_answer": "-585599/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 47481) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 47481}", "seed": "2289467656609816278", "semantic_fingerprint": "sha256:ee2f58f811ab1b67e8d7166fe5779c92c5a0ab76a52c8c24b1d41092034f988b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003415", "prompt": "Evaluate: 3188 * (-2288)", "solution_steps": ["Multiply: 3188 * (-2288) = -7294144"], "final_answer": "-7294144", "answer_type": "integer", "kind": "expression", "math_text": "3188 * (-2288)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3188, \"b\": -2288}", "seed": "1645064448975132416", "semantic_fingerprint": "sha256:f74418d29fe46cc5cdb69bf1862d170f43c7d98d477702711fbe91649443e2df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003416", "prompt": "Solve for x: 37x - 83293 = 30(x + 4747)", "solution_steps": ["Expand: 37x - 83293 = 30x + 142410", "Subtract 30x from both sides: 7x - 83293 = 142410", "Add 83293 to both sides: 7x = 225703", "Divide both sides by 7: x = 225703/7"], "final_answer": "225703/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x - 83293 = 30(x + 4747)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 83293, \"c\": 30, \"d\": 4747}", "seed": "9692660577812214863", "semantic_fingerprint": "sha256:e88eed106ced77117e293f6f6e76a53f8cd6ca2267b7c51bbe487130bdec9755", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003417", "prompt": "Evaluate: -2884 / (-7006)", "solution_steps": ["Divide: -2884 / (-7006) = 1442/3503"], "final_answer": "1442/3503", "answer_type": "rational", "kind": "expression", "math_text": "-2884 / (-7006)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2884, \"b\": -7006}", "seed": "10598985070144576393", "semantic_fingerprint": "sha256:1514232b62227c20554a62c550763c7937259d8bc2ba5d580feae459a79a908b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003418", "prompt": "What is 21192 - 5437 - 59715 / 2193?", "solution_steps": ["Subtract: 21192 - 5437 = 15755", "Divide: 59715 / 2193 = 19905/731", "Subtract: 15755 - 19905/731 = 11497000/731"], "final_answer": "11497000/731", "answer_type": "rational", "kind": "expression", "math_text": "21192 - 5437 - 59715 / 2193", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21192, \"b\": 5437, \"c\": 59715, \"d\": 2193}", "seed": "10492820788022931621", "semantic_fingerprint": "sha256:f732b0aefa6ecd187e0a06994d3a49cfbb90ef2b299c8f6684164dac3f265ebe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003419", "prompt": "Compute: (44530 + (-28636) - 41892) / (-25502)", "solution_steps": ["Add: 44530 + (-28636) = 15894", "Subtract: 15894 - 41892 = -25998", "Divide: -25998 / (-25502) = 12999/12751"], "final_answer": "12999/12751", "answer_type": "rational", "kind": "expression", "math_text": "(44530 + (-28636) - 41892) / (-25502)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 44530, \"b\": -28636, \"c\": 41892, \"d\": -25502}", "seed": "10452065320128779110", "semantic_fingerprint": "sha256:e41aec31aec041e2896b5673c30022e81e115cf325f090e93888798465ac49b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003420", "prompt": "Calculate: -76559 * (2901 * (-2111) / 80929)", "solution_steps": ["Multiply: 2901 * (-2111) = -6124011", "Divide: -6124011 / 80929 = -6124011/80929", "Multiply: -76559 * (-6124011/80929) = 468848158149/80929"], "final_answer": "468848158149/80929", "answer_type": "rational", "kind": "expression", "math_text": "-76559 * (2901 * (-2111) / 80929)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -76559, \"b\": 2901, \"c\": -2111, \"d\": 80929}", "seed": "13945077350775269305", "semantic_fingerprint": "sha256:0707d765ee4746f8516ad1e7b3966c42c03e39a8abed9106804dcc250e392f5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003421", "prompt": "What is (-3166 + 6016) / 50422 * 6029?", "solution_steps": ["Add: -3166 + 6016 = 2850", "Divide: 2850 / 50422 = 1425/25211", "Multiply: (1425/25211) * 6029 = 8591325/25211"], "final_answer": "8591325/25211", "answer_type": "rational", "kind": "expression", "math_text": "(-3166 + 6016) / 50422 * 6029", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3166, \"b\": 6016, \"c\": 50422, \"d\": 6029}", "seed": "3602329510236604310", "semantic_fingerprint": "sha256:3d3340eb1d025854c0f5b2a328a3210c3ef41e57ac630204efbf513f683cbcca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003422", "prompt": "Calculate: 5083 * (-2182) - (-53175)", "solution_steps": ["Multiply: 5083 * (-2182) = -11091106", "Subtract: -11091106 - (-53175) = -11037931"], "final_answer": "-11037931", "answer_type": "integer", "kind": "expression", "math_text": "5083 * (-2182) - (-53175)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5083, \"b\": -2182, \"c\": -53175}", "seed": "10209766802821359972", "semantic_fingerprint": "sha256:17c2bec8c7587b9f8a87ed694bca38f8e6de5c80d5e5cf225871cdd3fadca5b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003423", "prompt": "Calculate: -5902 * 5868 / (-7669)", "solution_steps": ["Multiply: -5902 * 5868 = -34632936", "Divide: -34632936 / (-7669) = 34632936/7669"], "final_answer": "34632936/7669", "answer_type": "rational", "kind": "expression", "math_text": "-5902 * 5868 / (-7669)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5902, \"b\": 5868, \"c\": -7669}", "seed": "6259162154541239453", "semantic_fingerprint": "sha256:1b9937f68d6017895a6a83ef7f3c4276b97010b3cbdcc001a7da9aa92b6148d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003424", "prompt": "Compute: (43982 + (-3457)) / 2453", "solution_steps": ["Add: 43982 + (-3457) = 40525", "Divide: 40525 / 2453 = 40525/2453"], "final_answer": "40525/2453", "answer_type": "rational", "kind": "expression", "math_text": "(43982 + (-3457)) / 2453", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 43982, \"b\": -3457, \"c\": 2453}", "seed": "4404154422869728534", "semantic_fingerprint": "sha256:4dd5693cc73afc2bc191964f82ccf1fc8166110b32bdff7b8241d3c72a34feb6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003425", "prompt": "Compute: 8368 + 9920 + 38675", "solution_steps": ["Add: 8368 + 9920 = 18288", "Add: 18288 + 38675 = 56963"], "final_answer": "56963", "answer_type": "integer", "kind": "expression", "math_text": "8368 + 9920 + 38675", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8368, \"b\": 9920, \"c\": 38675}", "seed": "9038017143870820269", "semantic_fingerprint": "sha256:508d4ff80f64feeb10f0e4f506e7e48646d171a9a246a105c2a92c8d8be82d74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003426", "prompt": "Compute: -2934 + (-9766 + (-6164))", "solution_steps": ["Add: -9766 + (-6164) = -15930", "Add: -2934 + (-15930) = -18864"], "final_answer": "-18864", "answer_type": "integer", "kind": "expression", "math_text": "-2934 + (-9766 + (-6164))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2934, \"b\": -9766, \"c\": -6164}", "seed": "10178526985636329802", "semantic_fingerprint": "sha256:162a5ebfba1138b11dfe174ae87cd92a6c015e07b25aed8e811c677a2d6bb824", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003427", "prompt": "Compute: (9099 + (-1503)) / (5073 / 24745) + 4531", "solution_steps": ["Add: 9099 + (-1503) = 7596", "Divide: 5073 / 24745 = 5073/24745", "Divide: 7596 / (5073/24745) = 62654340/1691", "Add: 62654340/1691 + 4531 = 70316261/1691"], "final_answer": "70316261/1691", "answer_type": "rational", "kind": "expression", "math_text": "(9099 + (-1503)) / (5073 / 24745) + 4531", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9099, \"b\": -1503, \"c\": 5073, \"d\": 24745, \"e\": 4531}", "seed": "3029227393903035245", "semantic_fingerprint": "sha256:350ef1c83c6e79f104ae62f20524dd1b18ee74c200a6007d6f740ef94d053ab0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003428", "prompt": "Solve the equation 25x = x for x.", "solution_steps": ["Subtract x from both sides: 24x = 0", "Divide both sides by 24: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25}", "seed": "4721671364639645070", "semantic_fingerprint": "sha256:3d6da81c0ecc445aca836d7dea7e8734360fd9a05e7acc33c115d7b50ded0643", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003429", "prompt": "Calculate: 8829 * (-71247)", "solution_steps": ["Multiply: 8829 * (-71247) = -629039763"], "final_answer": "-629039763", "answer_type": "integer", "kind": "expression", "math_text": "8829 * (-71247)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8829, \"b\": -71247}", "seed": "4899655914292755608", "semantic_fingerprint": "sha256:1484d89cf6ec0db006cae4a209bae54a5d20837838d13724bb8da8a2425c84ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003430", "prompt": "Evaluate: 8999 / (16579 - (-16903)) - 4263", "solution_steps": ["Subtract: 16579 - (-16903) = 33482", "Divide: 8999 / 33482 = 8999/33482", "Subtract: 8999/33482 - 4263 = -142724767/33482"], "final_answer": "-142724767/33482", "answer_type": "rational", "kind": "expression", "math_text": "8999 / (16579 - (-16903)) - 4263", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8999, \"b\": 16579, \"c\": -16903, \"d\": 4263}", "seed": "15534954701921553601", "semantic_fingerprint": "sha256:9c06f2ef0c2e92962c371ac85bf0228b3e98cc935d0ac449daf3ed5be556e7d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003431", "prompt": "Solve the equation 17x + 2256 = x for x.", "solution_steps": ["Subtract x from both sides: 16x + 2256 = 0", "Subtract 2256 from both sides: 16x = -2256", "Divide both sides by 16: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 2256 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"c\": 2256, \"x\": -141}", "seed": "10275210741146249192", "semantic_fingerprint": "sha256:702f3b59326c18397fcab589b2b5e969a0552b1b71d90861d1d41a212354d7bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003432", "prompt": "Calculate: 10458 - (-88461)", "solution_steps": ["Subtract: 10458 - (-88461) = 98919"], "final_answer": "98919", "answer_type": "integer", "kind": "expression", "math_text": "10458 - (-88461)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 10458, \"b\": -88461}", "seed": "2076779849882606031", "semantic_fingerprint": "sha256:1b4384a13824ee4637e92ec5f9a13bbe50cf215c0ec9cc47dc567d597582137b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003433", "prompt": "What value of x satisfies 36x + 9116 = 13(x + 9085) - 55618?", "solution_steps": ["Expand: 36x + 9116 = 13x + 118105 - 55618", "Combine constants: 36x + 9116 = 13x + 62487", "Subtract 13x from both sides: 23x + 9116 = 62487", "Subtract 9116 from both sides: 23x = 53371", "Divide both sides by 23: x = 53371/23"], "final_answer": "53371/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x + 9116 = 13(x + 9085) - 55618", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 9116, \"c\": 13, \"d\": 9085, \"e\": 55618}", "seed": "3055435264451904215", "semantic_fingerprint": "sha256:53efc691a7927b5c6932ba0c7adb203fc838370d7b6ed8511d64c87bf0d3ccf9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003434", "prompt": "Solve for x: -15(x - 3817) + 35972 = 24(x - 8358) + 67648", "solution_steps": ["Expand: -15x + 57255 + 35972 = 24(x - 8358) + 67648", "Expand: -15x + 57255 + 35972 = 24x - 200592 + 67648", "Combine constants: -15x + 93227 = 24x - 200592 + 67648", "Combine constants: -15x + 93227 = 24x - 132944", "Subtract 24x from both sides: -39x + 93227 = -132944", "Subtract 93227 from both sides: -39x = -226171", "Divide both sides by -39: x = 226171/39"], "final_answer": "226171/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x - 3817) + 35972 = 24(x - 8358) + 67648", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 3817, \"c\": 35972, \"d\": 24, \"e\": 8358, \"f\": 67648}", "seed": "12611359635400462262", "semantic_fingerprint": "sha256:862a15fb906a6ca6922ba2c0a2b6cc68d9a091496084bd77e8fd53af14461b3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003435", "prompt": "What is 27230 + 5693 / 1892?", "solution_steps": ["Divide: 5693 / 1892 = 5693/1892", "Add: 27230 + 5693/1892 = 51524853/1892"], "final_answer": "51524853/1892", "answer_type": "rational", "kind": "expression", "math_text": "27230 + 5693 / 1892", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27230, \"b\": 5693, \"c\": 1892}", "seed": "16104860275994949999", "semantic_fingerprint": "sha256:7b44cffcd7891131adc707ae771bda9fda7e32ccfb43f4a6e9f24605844f5bbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003436", "prompt": "What is -22558 / 21487 - (-6743)?", "solution_steps": ["Divide: -22558 / 21487 = -22558/21487", "Subtract: -22558/21487 - (-6743) = 144864283/21487"], "final_answer": "144864283/21487", "answer_type": "rational", "kind": "expression", "math_text": "-22558 / 21487 - (-6743)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22558, \"b\": 21487, \"c\": -6743}", "seed": "54867203161929901", "semantic_fingerprint": "sha256:fb1acbb8afc0fdda4cabb130053255695ce9a7594300a3d07e39f882fac66aa5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003437", "prompt": "Evaluate: -2585 - 9533 - 9349 / (2239 + (-70601))", "solution_steps": ["Subtract: -2585 - 9533 = -12118", "Add: 2239 + (-70601) = -68362", "Divide: 9349 / (-68362) = -9349/68362", "Subtract: -12118 - (-9349/68362) = -828401367/68362"], "final_answer": "-828401367/68362", "answer_type": "rational", "kind": "expression", "math_text": "-2585 - 9533 - 9349 / (2239 + (-70601))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2585, \"b\": 9533, \"c\": 9349, \"d\": 2239, \"e\": -70601}", "seed": "9174587595297809200", "semantic_fingerprint": "sha256:1eca2c87bce7d8aa6d7c9417134927db311ef9bf0a829b76d4cbbc2c810002cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003438", "prompt": "What is 76707 / (-4588 / (-34165)) - (-50849)?", "solution_steps": ["Divide: -4588 / (-34165) = 4588/34165", "Divide: 76707 / (4588/34165) = 2620694655/4588", "Subtract: 2620694655/4588 - (-50849) = 2853989867/4588"], "final_answer": "2853989867/4588", "answer_type": "rational", "kind": "expression", "math_text": "76707 / (-4588 / (-34165)) - (-50849)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 76707, \"b\": -4588, \"c\": -34165, \"d\": -50849}", "seed": "6042681950453560387", "semantic_fingerprint": "sha256:cd93546e7e3f2ed3b96e494b1e2f8563e9638fbe7211fb4f80a6694fe9de0a6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003439", "prompt": "Calculate: -3398 * (-8393) / (-7881)", "solution_steps": ["Multiply: -3398 * (-8393) = 28519414", "Divide: 28519414 / (-7881) = -28519414/7881"], "final_answer": "-28519414/7881", "answer_type": "rational", "kind": "expression", "math_text": "-3398 * (-8393) / (-7881)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3398, \"b\": -8393, \"c\": -7881}", "seed": "18068822380795998732", "semantic_fingerprint": "sha256:75f6a51745ed4241501f0c6eda5d85cbee7dfb58ce54dfe1d5c015ac9d33c5c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003440", "prompt": "Solve the equation 27x = x for x.", "solution_steps": ["Subtract x from both sides: 26x = 0", "Divide both sides by 26: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27}", "seed": "16468299958259857528", "semantic_fingerprint": "sha256:0ec1bf1b43cdd3f45ff62614c2699e7aa236e9e2c44660ba071331f04b5c0e62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003441", "prompt": "Evaluate: -4783 / (5382 + (25213 + (-6481)))", "solution_steps": ["Add: 25213 + (-6481) = 18732", "Add: 5382 + 18732 = 24114", "Divide: -4783 / 24114 = -4783/24114"], "final_answer": "-4783/24114", "answer_type": "rational", "kind": "expression", "math_text": "-4783 / (5382 + (25213 + (-6481)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4783, \"b\": 5382, \"c\": 25213, \"d\": -6481}", "seed": "17019812529781383290", "semantic_fingerprint": "sha256:2d60b095c708400d07a23f9fd2de723dd2044468c25061c9cdba98c37fb86d2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003442", "prompt": "Calculate: 8879 / (-49501 - (-44060))", "solution_steps": ["Subtract: -49501 - (-44060) = -5441", "Divide: 8879 / (-5441) = -8879/5441"], "final_answer": "-8879/5441", "answer_type": "rational", "kind": "expression", "math_text": "8879 / (-49501 - (-44060))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8879, \"b\": -49501, \"c\": -44060}", "seed": "13153530526163767120", "semantic_fingerprint": "sha256:ce9b3af6bbaa221f4b3068678ffbcafd25eb221298e89e3179e8752dbc6d7f9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003443", "prompt": "Calculate: (93285 + (-7800)) / (4259 - 6885)", "solution_steps": ["Add: 93285 + (-7800) = 85485", "Subtract: 4259 - 6885 = -2626", "Divide: 85485 / (-2626) = -85485/2626"], "final_answer": "-85485/2626", "answer_type": "rational", "kind": "expression", "math_text": "(93285 + (-7800)) / (4259 - 6885)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 93285, \"b\": -7800, \"c\": 4259, \"d\": 6885}", "seed": "5943269860604685785", "semantic_fingerprint": "sha256:f136b07bd12e5c0ecd99fc85baf72c5f0e028b0896ef4717e62810d8b80ae40f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003444", "prompt": "Evaluate: -8719 + 16791", "solution_steps": ["Add: -8719 + 16791 = 8072"], "final_answer": "8072", "answer_type": "integer", "kind": "expression", "math_text": "-8719 + 16791", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8719, \"b\": 16791}", "seed": "4973069769917905032", "semantic_fingerprint": "sha256:7b9e4a8a3f1392f6d03e60e81bef8f709803b153c47df379e9d98f67e9b25210", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003445", "prompt": "Calculate: (4737 + (-30556) - (-1040)) / 3645", "solution_steps": ["Add: 4737 + (-30556) = -25819", "Subtract: -25819 - (-1040) = -24779", "Divide: -24779 / 3645 = -24779/3645"], "final_answer": "-24779/3645", "answer_type": "rational", "kind": "expression", "math_text": "(4737 + (-30556) - (-1040)) / 3645", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4737, \"b\": -30556, \"c\": -1040, \"d\": 3645}", "seed": "7020694167226178812", "semantic_fingerprint": "sha256:9452d71b73eb995e0d1efae1b4303057c1d8d947b6fbc55b181e4c86555c06dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003446", "prompt": "What is 1260 - (-5814)?", "solution_steps": ["Subtract: 1260 - (-5814) = 7074"], "final_answer": "7074", "answer_type": "integer", "kind": "expression", "math_text": "1260 - (-5814)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1260, \"b\": -5814}", "seed": "4604222019323753270", "semantic_fingerprint": "sha256:2f7e876b0769a3335b1f893f72d82a9161d2975ccc9e64bbbb6c66260f2f63bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003447", "prompt": "Evaluate: 8934 / (-76312 + 3666)", "solution_steps": ["Add: -76312 + 3666 = -72646", "Divide: 8934 / (-72646) = -4467/36323"], "final_answer": "-4467/36323", "answer_type": "rational", "kind": "expression", "math_text": "8934 / (-76312 + 3666)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8934, \"b\": -76312, \"c\": 3666}", "seed": "12178519835410759208", "semantic_fingerprint": "sha256:c5e591a938ebe6b88ea6ebbdbdc654eaf00999fa8afb42b525de873052361465", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003448", "prompt": "Evaluate: (-3840 - (-76731)) * ((-1767 + (-6466)) / 19232)", "solution_steps": ["Subtract: -3840 - (-76731) = 72891", "Add: -1767 + (-6466) = -8233", "Divide: -8233 / 19232 = -8233/19232", "Multiply: 72891 * (-8233/19232) = -600111603/19232"], "final_answer": "-600111603/19232", "answer_type": "rational", "kind": "expression", "math_text": "(-3840 - (-76731)) * ((-1767 + (-6466)) / 19232)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3840, \"b\": -76731, \"c\": -1767, \"d\": -6466, \"e\": 19232}", "seed": "3268647740882859120", "semantic_fingerprint": "sha256:f141b1ea208964e43a87a0842766d1cc88d866a721449402c4f71fa2e90ac8b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003449", "prompt": "Compute: -6749 / 46986 * 49830", "solution_steps": ["Divide: -6749 / 46986 = -6749/46986", "Multiply: (-6749/46986) * 49830 = -56050445/7831"], "final_answer": "-56050445/7831", "answer_type": "rational", "kind": "expression", "math_text": "-6749 / 46986 * 49830", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6749, \"b\": 46986, \"c\": 49830}", "seed": "7321103843311879271", "semantic_fingerprint": "sha256:d2eb793ce8ea9eab83c735ae6cdbbc352b6d0964f24d039aaf5699e99110c59a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003450", "prompt": "What value of x satisfies 17(x - 3266) - 6897 = x - 61715?", "solution_steps": ["Expand: 17x - 55522 - 6897 = x - 61715", "Combine constants: 17x - 62419 = x - 61715", "Subtract x from both sides: 16x - 62419 = -61715", "Add 62419 to both sides: 16x = 704", "Divide both sides by 16: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 3266) - 6897 = x - 61715", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 3266, \"c\": 6897, \"e\": -61715, \"x\": 44}", "seed": "5220107841425470140", "semantic_fingerprint": "sha256:2a9b3fa8b9135d3cd4f10369122dad221dcd5f0ef7c19de8601b4051ca49e2c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003451", "prompt": "Solve the equation 23x - 49084 = x - 45388 for x.", "solution_steps": ["Subtract x from both sides: 22x - 49084 = -45388", "Add 49084 to both sides: 22x = 3696", "Divide both sides by 22: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x - 49084 = x - 45388", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 49084, \"d\": -45388, \"x\": 168}", "seed": "9668854077543178776", "semantic_fingerprint": "sha256:e49f3750baa7f2ac10e06788cdf650623f9871b3cb59e08ed399ab1736992579", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003452", "prompt": "Find x: x + 1336 = 23x", "solution_steps": ["Subtract 23x from both sides: -22x + 1336 = 0", "Subtract 1336 from both sides: -22x = -1336", "Divide both sides by -22: x = 668/11"], "final_answer": "668/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1336 = 23x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1336, \"b\": 23}", "seed": "5751668965532352789", "semantic_fingerprint": "sha256:9753cc98dc0d6f85a2172e14f1d60f40fcd68bce7f0a3323f3ee52a6e0ff0f90", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003453", "prompt": "Evaluate: 3039 * (-3842 + 8046)", "solution_steps": ["Add: -3842 + 8046 = 4204", "Multiply: 3039 * 4204 = 12775956"], "final_answer": "12775956", "answer_type": "integer", "kind": "expression", "math_text": "3039 * (-3842 + 8046)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3039, \"b\": -3842, \"c\": 8046}", "seed": "8976164135885117961", "semantic_fingerprint": "sha256:02f08e04388dd1ce0ee7a5bcd19a6aef48c4fa0ec052aebc17195704b3240eb0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003454", "prompt": "Compute: 87393 + 21065", "solution_steps": ["Add: 87393 + 21065 = 108458"], "final_answer": "108458", "answer_type": "integer", "kind": "expression", "math_text": "87393 + 21065", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 87393, \"b\": 21065}", "seed": "8727792442006735154", "semantic_fingerprint": "sha256:057ca2faec64e051c541f5f245d2f255460816519e503913fb16ecc1fac52786", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003455", "prompt": "Solve for x: x - 65381 = 17(x - 3813)", "solution_steps": ["Expand: x - 65381 = 17x - 64821", "Subtract 17x from both sides: -16x - 65381 = -64821", "Add 65381 to both sides: -16x = 560", "Divide both sides by -16: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 65381 = 17(x - 3813)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 3813, \"d\": -65381, \"x\": -35}", "seed": "2322939859045008472", "semantic_fingerprint": "sha256:1e9d1cbb24d6b75f6c59d96072b4f7c5d8d57df0fa6e9fa557ccd85e0ae79172", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003456", "prompt": "Compute: 71780 - (-30193) + (-15320) * (1782 / 1091)", "solution_steps": ["Subtract: 71780 - (-30193) = 101973", "Divide: 1782 / 1091 = 1782/1091", "Multiply: -15320 * (1782/1091) = -27300240/1091", "Add: 101973 + (-27300240/1091) = 83952303/1091"], "final_answer": "83952303/1091", "answer_type": "rational", "kind": "expression", "math_text": "71780 - (-30193) + (-15320) * (1782 / 1091)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 71780, \"b\": -30193, \"c\": -15320, \"d\": 1782, \"e\": 1091}", "seed": "6238020824301231823", "semantic_fingerprint": "sha256:c633572bfa0e6995e09c42fb1d98611592c48679995e50564c0e1b135df68ed3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003457", "prompt": "Compute: -2420 - (-34233) - (-5491 - 40665)", "solution_steps": ["Subtract: -2420 - (-34233) = 31813", "Subtract: -5491 - 40665 = -46156", "Subtract: 31813 - (-46156) = 77969"], "final_answer": "77969", "answer_type": "integer", "kind": "expression", "math_text": "-2420 - (-34233) - (-5491 - 40665)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2420, \"b\": -34233, \"c\": -5491, \"d\": 40665}", "seed": "2506776384240045032", "semantic_fingerprint": "sha256:b2449b7f08739d24b1aa3453482933416285e1f2fc9bf61d1d9a597152a25b36", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003458", "prompt": "Calculate: 7099 + 3620 + 2580", "solution_steps": ["Add: 7099 + 3620 = 10719", "Add: 10719 + 2580 = 13299"], "final_answer": "13299", "answer_type": "integer", "kind": "expression", "math_text": "7099 + 3620 + 2580", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7099, \"b\": 3620, \"c\": 2580}", "seed": "13745471223110178013", "semantic_fingerprint": "sha256:f3476484e641e782a8df0e0bcdc4675eab84ea6834dbdd6a6a159e6293df84f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003459", "prompt": "What value of x satisfies x + 3495 = 32(x - 4619) + 8107?", "solution_steps": ["Expand: x + 3495 = 32x - 147808 + 8107", "Combine constants: x + 3495 = 32x - 139701", "Subtract 32x from both sides: -31x + 3495 = -139701", "Subtract 3495 from both sides: -31x = -143196", "Divide both sides by -31: x = 143196/31"], "final_answer": "143196/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3495 = 32(x - 4619) + 8107", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3495, \"b\": 32, \"c\": 4619, \"d\": 8107}", "seed": "2507299887865928648", "semantic_fingerprint": "sha256:6a4708fd7937fa7114d5583a8dcbec7f53e8ef6442f72cd7db2797bd829322ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003460", "prompt": "Calculate: (91299 + 9422) / (65470 + 5358 - (-44423))", "solution_steps": ["Add: 91299 + 9422 = 100721", "Add: 65470 + 5358 = 70828", "Subtract: 70828 - (-44423) = 115251", "Divide: 100721 / 115251 = 100721/115251"], "final_answer": "100721/115251", "answer_type": "rational", "kind": "expression", "math_text": "(91299 + 9422) / (65470 + 5358 - (-44423))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 91299, \"b\": 9422, \"c\": 65470, \"d\": 5358, \"e\": -44423}", "seed": "13772465611164627054", "semantic_fingerprint": "sha256:6f67af4a54294d39f0ad4ddc2bab4b9033fcac20181fbe955193b3c4721cf0dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003461", "prompt": "Calculate: -8878 / (-7767) + (-57150 - 33790)", "solution_steps": ["Divide: -8878 / (-7767) = 8878/7767", "Subtract: -57150 - 33790 = -90940", "Add: 8878/7767 + (-90940) = -706322102/7767"], "final_answer": "-706322102/7767", "answer_type": "rational", "kind": "expression", "math_text": "-8878 / (-7767) + (-57150 - 33790)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8878, \"b\": -7767, \"c\": -57150, \"d\": 33790}", "seed": "17995069260556861192", "semantic_fingerprint": "sha256:e2d5aa869daff1d7527fe3cf7313315f6e8ef61d1533f29e38dd12fbf272f074", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003462", "prompt": "What is -22105 - (-7239) + 4468?", "solution_steps": ["Subtract: -22105 - (-7239) = -14866", "Add: -14866 + 4468 = -10398"], "final_answer": "-10398", "answer_type": "integer", "kind": "expression", "math_text": "-22105 - (-7239) + 4468", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22105, \"b\": -7239, \"c\": 4468}", "seed": "12632793283610655425", "semantic_fingerprint": "sha256:00ba9af1291a2a667f8cb558c3448d1a5725e29a51217871c4afbe0b517a70c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003463", "prompt": "Calculate: -71370 * (-52674) + (-4246) - (-8121)", "solution_steps": ["Multiply: -71370 * (-52674) = 3759343380", "Add: 3759343380 + (-4246) = 3759339134", "Subtract: 3759339134 - (-8121) = 3759347255"], "final_answer": "3759347255", "answer_type": "integer", "kind": "expression", "math_text": "-71370 * (-52674) + (-4246) - (-8121)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -71370, \"b\": -52674, \"c\": -4246, \"d\": -8121}", "seed": "3299982458348691178", "semantic_fingerprint": "sha256:44fee80d160be12410775977a523b4d842a88170008e01fa283e4da757bc9f5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003464", "prompt": "Evaluate: -61275 + (-49852)", "solution_steps": ["Add: -61275 + (-49852) = -111127"], "final_answer": "-111127", "answer_type": "integer", "kind": "expression", "math_text": "-61275 + (-49852)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -61275, \"b\": -49852}", "seed": "7731162712504653991", "semantic_fingerprint": "sha256:f94618a319491d31ca026536dc48d69e74361032ee6d83ba2b55b795ec350d0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003465", "prompt": "Compute: (-4243 * 7425 - (-90247)) * (-8497 + (-4878 - 3592))", "solution_steps": ["Multiply: -4243 * 7425 = -31504275", "Subtract: -31504275 - (-90247) = -31414028", "Subtract: -4878 - 3592 = -8470", "Add: -8497 + (-8470) = -16967", "Multiply: -31414028 * (-16967) = 533001813076"], "final_answer": "533001813076", "answer_type": "integer", "kind": "expression", "math_text": "(-4243 * 7425 - (-90247)) * (-8497 + (-4878 - 3592))", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4243, \"b\": 7425, \"c\": -90247, \"d\": -8497, \"e\": -4878, \"f\": 3592}", "seed": "1099023224181576150", "semantic_fingerprint": "sha256:2cae613475ae826004a475035ed1adbd2ff24fc328b6ca36f5258431bab9bc28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003466", "prompt": "Compute: 3621 * (-12656) - 79481 - (7195 + 3564 / 5560)", "solution_steps": ["Multiply: 3621 * (-12656) = -45827376", "Subtract: -45827376 - 79481 = -45906857", "Divide: 3564 / 5560 = 891/1390", "Add: 7195 + 891/1390 = 10001941/1390", "Subtract: -45906857 - 10001941/1390 = -63820533171/1390"], "final_answer": "-63820533171/1390", "answer_type": "rational", "kind": "expression", "math_text": "3621 * (-12656) - 79481 - (7195 + 3564 / 5560)", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (+ n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3621, \"b\": -12656, \"c\": 79481, \"d\": 7195, \"e\": 3564, \"f\": 5560}", "seed": "11661691916357672739", "semantic_fingerprint": "sha256:be33e6eed041798ed2c6f5f27b99a69e033df2e6d145758b0b764c533ecfc6eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003467", "prompt": "Compute: (-5092 + (-4014 + 2899)) / 22490", "solution_steps": ["Add: -4014 + 2899 = -1115", "Add: -5092 + (-1115) = -6207", "Divide: -6207 / 22490 = -6207/22490"], "final_answer": "-6207/22490", "answer_type": "rational", "kind": "expression", "math_text": "(-5092 + (-4014 + 2899)) / 22490", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5092, \"b\": -4014, \"c\": 2899, \"d\": 22490}", "seed": "14823213667873069116", "semantic_fingerprint": "sha256:01c984e2e1beaa43c9030d9c81c982f5e4aa4d28eef59dd41eb38575e33f5a2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003468", "prompt": "What is -3815 - 1944 - (-29489)?", "solution_steps": ["Subtract: -3815 - 1944 = -5759", "Subtract: -5759 - (-29489) = 23730"], "final_answer": "23730", "answer_type": "integer", "kind": "expression", "math_text": "-3815 - 1944 - (-29489)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3815, \"b\": 1944, \"c\": -29489}", "seed": "18334619873381538985", "semantic_fingerprint": "sha256:736aa4963e91edf3a39267b602030cf1fbd5d45652f1f22fc3d1a36ed4ea3634", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003469", "prompt": "Evaluate: (6018 - (-36941)) * (-8529) / (14959 + 55636) - 1687", "solution_steps": ["Subtract: 6018 - (-36941) = 42959", "Multiply: 42959 * (-8529) = -366397311", "Add: 14959 + 55636 = 70595", "Divide: -366397311 / 70595 = -52342473/10085", "Subtract: -52342473/10085 - 1687 = -69355868/10085"], "final_answer": "-69355868/10085", "answer_type": "rational", "kind": "expression", "math_text": "(6018 - (-36941)) * (-8529) / (14959 + 55636) - 1687", "variable": null, "family": "expression_5op", "shape": "(- (/ (* (- n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6018, \"b\": -36941, \"c\": -8529, \"d\": 14959, \"e\": 55636, \"f\": 1687}", "seed": "4547999155528151513", "semantic_fingerprint": "sha256:869246e90a45ac31eef97408e355f701efccdaf176cc0dcdfca623c40f7b0a1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003470", "prompt": "Compute: -5788 * (-5411 + (-9371))", "solution_steps": ["Add: -5411 + (-9371) = -14782", "Multiply: -5788 * (-14782) = 85558216"], "final_answer": "85558216", "answer_type": "integer", "kind": "expression", "math_text": "-5788 * (-5411 + (-9371))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5788, \"b\": -5411, \"c\": -9371}", "seed": "13657371775344597258", "semantic_fingerprint": "sha256:e0638217590388f4c69d1c70182f557d16b1eb6235417c9a69d1329ebdfa83ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003471", "prompt": "What value of x satisfies 21x = 27x - 27037?", "solution_steps": ["Subtract 27x from both sides: -6x = -27037", "Divide both sides by -6: x = 27037/6"], "final_answer": "27037/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x = 27x - 27037", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 27, \"c\": 27037}", "seed": "9501614555168919593", "semantic_fingerprint": "sha256:58d2ab04dc3392f7e24ed29dc832c64d6ef99f25087b409e88dbc4f446d46896", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003472", "prompt": "What value of x satisfies x - 86769 = 17(x - 4929)?", "solution_steps": ["Expand: x - 86769 = 17x - 83793", "Subtract 17x from both sides: -16x - 86769 = -83793", "Add 86769 to both sides: -16x = 2976", "Divide both sides by -16: x = -186"], "final_answer": "-186", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 86769 = 17(x - 4929)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 4929, \"d\": -86769, \"x\": -186}", "seed": "5717427707427739594", "semantic_fingerprint": "sha256:308d9c83eb547a9228f6e8d04df80982b565be8b8a5db3554dd90377d6e73f70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003473", "prompt": "Find x: 19(x - 4668) = x - 1833", "solution_steps": ["Expand: 19x - 88692 = x - 1833", "Subtract x from both sides: 18x - 88692 = -1833", "Add 88692 to both sides: 18x = 86859", "Divide both sides by 18: x = 9651/2"], "final_answer": "9651/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x - 4668) = x - 1833", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 4668, \"c\": 1833}", "seed": "3789491373368622410", "semantic_fingerprint": "sha256:404fea86446e54029cd8698ef6dabb25b86460190aa35c563769f5918203f52f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003474", "prompt": "Compute: -48875 * (2749 * (-2257) + (-2863 - (-10775)) * 2611)", "solution_steps": ["Multiply: 2749 * (-2257) = -6204493", "Subtract: -2863 - (-10775) = 7912", "Multiply: 7912 * 2611 = 20658232", "Add: -6204493 + 20658232 = 14453739", "Multiply: -48875 * 14453739 = -706426493625"], "final_answer": "-706426493625", "answer_type": "integer", "kind": "expression", "math_text": "-48875 * (2749 * (-2257) + (-2863 - (-10775)) * 2611)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (* n n) (* (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -48875, \"b\": 2749, \"c\": -2257, \"d\": -2863, \"e\": -10775, \"f\": 2611}", "seed": "16993582263089017876", "semantic_fingerprint": "sha256:2ce1918d4b771e5eaeb88504172c90121934970bfbce52fe6a2f918e2a35b4f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003475", "prompt": "What is 19831 + (-73341 + (-77857) + (-7696))?", "solution_steps": ["Add: -73341 + (-77857) = -151198", "Add: -151198 + (-7696) = -158894", "Add: 19831 + (-158894) = -139063"], "final_answer": "-139063", "answer_type": "integer", "kind": "expression", "math_text": "19831 + (-73341 + (-77857) + (-7696))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19831, \"b\": -73341, \"c\": -77857, \"d\": -7696}", "seed": "13199153918774168398", "semantic_fingerprint": "sha256:8a3f92b03f5646555bf1a987b5d7e828c5ba16f9146ce6c965c7057daf9bb4d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003476", "prompt": "What is 5054 + (-2157) / (-59599 / 13572) * (-5599)?", "solution_steps": ["Divide: -59599 / 13572 = -59599/13572", "Divide: -2157 / (-59599/13572) = 29274804/59599", "Multiply: (29274804/59599) * (-5599) = -163909627596/59599", "Add: 5054 + (-163909627596/59599) = -163608414250/59599"], "final_answer": "-163608414250/59599", "answer_type": "rational", "kind": "expression", "math_text": "5054 + (-2157) / (-59599 / 13572) * (-5599)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5054, \"b\": -2157, \"c\": -59599, \"d\": 13572, \"e\": -5599}", "seed": "15665597279343757035", "semantic_fingerprint": "sha256:b317f99b65f5a3cb0ee51bdedbf77eb0d7505cd2c5cf4a7aa73d3fa7e668ca1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003477", "prompt": "Compute: 77460 + 50469 - 61502", "solution_steps": ["Add: 77460 + 50469 = 127929", "Subtract: 127929 - 61502 = 66427"], "final_answer": "66427", "answer_type": "integer", "kind": "expression", "math_text": "77460 + 50469 - 61502", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77460, \"b\": 50469, \"c\": 61502}", "seed": "2059182160029060384", "semantic_fingerprint": "sha256:c227a370c67d3fc5c9f3aa6b5dd0cd5ec5d7b510cf8746fefdf8c0ffa291b4cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003478", "prompt": "Calculate: 43722 * (-13443 + 40943)", "solution_steps": ["Add: -13443 + 40943 = 27500", "Multiply: 43722 * 27500 = 1202355000"], "final_answer": "1202355000", "answer_type": "integer", "kind": "expression", "math_text": "43722 * (-13443 + 40943)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 43722, \"b\": -13443, \"c\": 40943}", "seed": "1748684407741928261", "semantic_fingerprint": "sha256:5459c313ce3589541aaf6b801259c412e1d2426a6c8efa403e06635b9d8cee28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003479", "prompt": "Compute: 1556 * (-99580) + (-29869) - (-1142)", "solution_steps": ["Multiply: 1556 * (-99580) = -154946480", "Add: -154946480 + (-29869) = -154976349", "Subtract: -154976349 - (-1142) = -154975207"], "final_answer": "-154975207", "answer_type": "integer", "kind": "expression", "math_text": "1556 * (-99580) + (-29869) - (-1142)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1556, \"b\": -99580, \"c\": -29869, \"d\": -1142}", "seed": "1999381910704907747", "semantic_fingerprint": "sha256:e066d2f99899ad3634a53b99d5dfde2b7c2746170e2b57a638088c8f75943f75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003480", "prompt": "Calculate: -9150 + (4993 / 2431 + (-27795 - (-51077))) / 1085", "solution_steps": ["Divide: 4993 / 2431 = 4993/2431", "Subtract: -27795 - (-51077) = 23282", "Add: 4993/2431 + 23282 = 56603535/2431", "Divide: (56603535/2431) / 1085 = 11320707/527527", "Add: -9150 + 11320707/527527 = -4815551343/527527"], "final_answer": "-4815551343/527527", "answer_type": "rational", "kind": "expression", "math_text": "-9150 + (4993 / 2431 + (-27795 - (-51077))) / 1085", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (+ (/ n n) (- n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9150, \"b\": 4993, \"c\": 2431, \"d\": -27795, \"e\": -51077, \"f\": 1085}", "seed": "5482190346438218651", "semantic_fingerprint": "sha256:dfc0921715ffda05d5c3987dac16192e65114457ac4ca54b9bd26c429827b715", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003481", "prompt": "Compute: -40654 * (-3364) - (-6300 / 9088 - 48836) * (-2878)", "solution_steps": ["Multiply: -40654 * (-3364) = 136760056", "Divide: -6300 / 9088 = -1575/2272", "Subtract: -1575/2272 - 48836 = -110956967/2272", "Multiply: (-110956967/2272) * (-2878) = 159667075513/1136", "Subtract: 136760056 - 159667075513/1136 = -4307651897/1136"], "final_answer": "-4307651897/1136", "answer_type": "rational", "kind": "expression", "math_text": "-40654 * (-3364) - (-6300 / 9088 - 48836) * (-2878)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (- (/ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40654, \"b\": -3364, \"c\": -6300, \"d\": 9088, \"e\": 48836, \"f\": -2878}", "seed": "6740923282416738877", "semantic_fingerprint": "sha256:9d4497ea74c10aa6321a5846bead7352b5ced010234701c1ee353a4fbee03130", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003482", "prompt": "Solve the equation -33(x - 4976) = x for x.", "solution_steps": ["Expand: -33x + 164208 = x", "Subtract x from both sides: -34x + 164208 = 0", "Subtract 164208 from both sides: -34x = -164208", "Divide both sides by -34: x = 82104/17"], "final_answer": "82104/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 4976) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 4976}", "seed": "11221601872997415615", "semantic_fingerprint": "sha256:fb7bdf807dd32212fd42e71c35029e9f80affefd36f0d3f1547e83512818f5ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003483", "prompt": "Find x: -29(x + 1684) = x - 47756", "solution_steps": ["Expand: -29x - 48836 = x - 47756", "Subtract x from both sides: -30x - 48836 = -47756", "Add 48836 to both sides: -30x = 1080", "Divide both sides by -30: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29(x + 1684) = x - 47756", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 1684, \"d\": -47756, \"x\": -36}", "seed": "1947410842268507520", "semantic_fingerprint": "sha256:ff9aedb6a606b4ddf09cf40bd5917dd86613ee94a2e4d6a21fd508041bb44cd3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003484", "prompt": "Find x: -31x + 8334 = x + 11086", "solution_steps": ["Subtract x from both sides: -32x + 8334 = 11086", "Subtract 8334 from both sides: -32x = 2752", "Divide both sides by -32: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x + 8334 = x + 11086", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 8334, \"d\": 11086, \"x\": -86}", "seed": "4454217559863512591", "semantic_fingerprint": "sha256:403f1c5c0305cf4d2098de34cff246aaa2e4be1b96e8cf71734a2d38568f0ccd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003485", "prompt": "Compute: -8929 / (1541 + 1935) + (4719 - 67738)", "solution_steps": ["Add: 1541 + 1935 = 3476", "Divide: -8929 / 3476 = -8929/3476", "Subtract: 4719 - 67738 = -63019", "Add: -8929/3476 + (-63019) = -219062973/3476"], "final_answer": "-219062973/3476", "answer_type": "rational", "kind": "expression", "math_text": "-8929 / (1541 + 1935) + (4719 - 67738)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8929, \"b\": 1541, \"c\": 1935, \"d\": 4719, \"e\": 67738}", "seed": "1293481547031559780", "semantic_fingerprint": "sha256:bcad109c09299f6a53700afc7ccafcfa4cfaea359bb667f00ee2de6b6d99e3f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003486", "prompt": "Solve for x: 14x - 5845 = x - 7014", "solution_steps": ["Subtract x from both sides: 13x - 5845 = -7014", "Add 5845 to both sides: 13x = -1169", "Divide both sides by 13: x = -1169/13"], "final_answer": "-1169/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x - 5845 = x - 7014", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5845, \"c\": 7014}", "seed": "908645841212140646", "semantic_fingerprint": "sha256:7418d306bd6777ef9799ef3ce8bb963e377039eda2458a1439bd68fdc841b343", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003487", "prompt": "Solve the equation 36(x + 3639) - 40118 = -25(x - 6476) - 76016 for x.", "solution_steps": ["Expand: 36x + 131004 - 40118 = -25(x - 6476) - 76016", "Expand: 36x + 131004 - 40118 = -25x + 161900 - 76016", "Combine constants: 36x + 90886 = -25x + 161900 - 76016", "Combine constants: 36x + 90886 = -25x + 85884", "Add 25x to both sides: 61x + 90886 = 85884", "Subtract 90886 from both sides: 61x = -5002", "Divide both sides by 61: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x + 3639) - 40118 = -25(x - 6476) - 76016", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 3639, \"c\": 40118, \"d\": -25, \"e\": 6476, \"g\": -76016, \"x\": -82}", "seed": "771452769990942102", "semantic_fingerprint": "sha256:a8178acf87da3afdc6ac78d046cbbf8431337984a93bb6e4283ab3ea8c971f9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003488", "prompt": "What value of x satisfies -35x + 3235 = -36(x - 73483)?", "solution_steps": ["Expand: -35x + 3235 = -36x + 2645388", "Add 36x to both sides: x + 3235 = 2645388", "Subtract 3235 from both sides: x = 2642153"], "final_answer": "2642153", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x + 3235 = -36(x - 73483)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 3235, \"c\": -36, \"d\": 73483}", "seed": "1883459296500897479", "semantic_fingerprint": "sha256:96b1c9268381d042684225461d4d715bf63dde263a04feca2c580fc71dd7d953", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003489", "prompt": "Evaluate: 9445 * 7002", "solution_steps": ["Multiply: 9445 * 7002 = 66133890"], "final_answer": "66133890", "answer_type": "integer", "kind": "expression", "math_text": "9445 * 7002", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9445, \"b\": 7002}", "seed": "15794352171481372023", "semantic_fingerprint": "sha256:d2f668576844ec2fa8d04ac95fb4f90a1311946d7669518367fc17da51ff77f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003490", "prompt": "Calculate: 9218 + (-9850) - (-3577 - (-7876) / (-76199))", "solution_steps": ["Add: 9218 + (-9850) = -632", "Divide: -7876 / (-76199) = 7876/76199", "Subtract: -3577 - 7876/76199 = -272571699/76199", "Subtract: -632 - (-272571699/76199) = 224413931/76199"], "final_answer": "224413931/76199", "answer_type": "rational", "kind": "expression", "math_text": "9218 + (-9850) - (-3577 - (-7876) / (-76199))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9218, \"b\": -9850, \"c\": -3577, \"d\": -7876, \"e\": -76199}", "seed": "14761477647489725711", "semantic_fingerprint": "sha256:c3eecfe8a11305b80c75b315746fa255e17a2854e0ca789c83537758ca3fc1d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003491", "prompt": "Calculate: 55004 * 2993", "solution_steps": ["Multiply: 55004 * 2993 = 164626972"], "final_answer": "164626972", "answer_type": "integer", "kind": "expression", "math_text": "55004 * 2993", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 55004, \"b\": 2993}", "seed": "17506202779490435705", "semantic_fingerprint": "sha256:4297c4badbd2017a5c78ee3b794fbe67ad9b825c51fcc65b0c1f8ee37024411b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003492", "prompt": "Solve the equation x = -31x + 9039 for x.", "solution_steps": ["Add 31x to both sides: 32x = 9039", "Divide both sides by 32: x = 9039/32"], "final_answer": "9039/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -31x + 9039", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 9039}", "seed": "12950314875360345894", "semantic_fingerprint": "sha256:7ed5a97eb1b528b87d06767016ec69424caae60cd2a4a4a0f5e2acc6deacae6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003493", "prompt": "Calculate: 6840 * 6901 / 9735", "solution_steps": ["Multiply: 6840 * 6901 = 47202840", "Divide: 47202840 / 9735 = 3146856/649"], "final_answer": "3146856/649", "answer_type": "rational", "kind": "expression", "math_text": "6840 * 6901 / 9735", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6840, \"b\": 6901, \"c\": 9735}", "seed": "17834881451298743743", "semantic_fingerprint": "sha256:ed78b4141601ef9810c71d799b7acb896bcf3953ba4094d96248bc9616bc4ffe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003494", "prompt": "Calculate: -84648 - (-2773)", "solution_steps": ["Subtract: -84648 - (-2773) = -81875"], "final_answer": "-81875", "answer_type": "integer", "kind": "expression", "math_text": "-84648 - (-2773)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -84648, \"b\": -2773}", "seed": "12851504766075721923", "semantic_fingerprint": "sha256:992932a9ea76f79e092d7e865de0ddac52a2e4da53d3cb626e97d159a5bf9848", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003495", "prompt": "Calculate: (19868 - (-20879)) / (1960 / (-49143))", "solution_steps": ["Subtract: 19868 - (-20879) = 40747", "Divide: 1960 / (-49143) = -1960/49143", "Divide: 40747 / (-1960/49143) = -286061403/280"], "final_answer": "-286061403/280", "answer_type": "rational", "kind": "expression", "math_text": "(19868 - (-20879)) / (1960 / (-49143))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19868, \"b\": -20879, \"c\": 1960, \"d\": -49143}", "seed": "7679554465627802103", "semantic_fingerprint": "sha256:40da24d1e0a487174f178922b6e838323567835d4550782f458de47372038486", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003496", "prompt": "Evaluate: (5145 + 3329 - (35368 - 7270)) * (-59279)", "solution_steps": ["Add: 5145 + 3329 = 8474", "Subtract: 35368 - 7270 = 28098", "Subtract: 8474 - 28098 = -19624", "Multiply: -19624 * (-59279) = 1163291096"], "final_answer": "1163291096", "answer_type": "integer", "kind": "expression", "math_text": "(5145 + 3329 - (35368 - 7270)) * (-59279)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5145, \"b\": 3329, \"c\": 35368, \"d\": 7270, \"e\": -59279}", "seed": "13598760507041564083", "semantic_fingerprint": "sha256:9420f358e841287868dd529175993490170595c7989a460e7a72b0a7b7d740ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003497", "prompt": "Find x: 28(x + 15510) = -24(x + 89042)", "solution_steps": ["Expand: 28x + 434280 = -24(x + 89042)", "Expand: 28x + 434280 = -24x - 2137008", "Add 24x to both sides: 52x + 434280 = -2137008", "Subtract 434280 from both sides: 52x = -2571288", "Divide both sides by 52: x = -642822/13"], "final_answer": "-642822/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 15510) = -24(x + 89042)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 15510, \"c\": -24, \"d\": 89042}", "seed": "13962124702209063771", "semantic_fingerprint": "sha256:eda289e5ab06a0366a26db1917c1d1d93060b2712104b8eb64cc3c5840470fad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003498", "prompt": "Solve the equation x + 97293 = 97144 for x.", "solution_steps": ["Subtract 97293 from both sides: x = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 97293 = 97144", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 97293, \"c\": 97144, \"x\": -149}", "seed": "3145230627609779652", "semantic_fingerprint": "sha256:cd3a13fb44a7587f96d8a73c2f04aff65633ea224554d7262aee219882c67330", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003499", "prompt": "Solve the equation 17(x - 7597) = -16(x - 2062) for x.", "solution_steps": ["Expand: 17x - 129149 = -16(x - 2062)", "Expand: 17x - 129149 = -16x + 32992", "Add 16x to both sides: 33x - 129149 = 32992", "Add 129149 to both sides: 33x = 162141", "Divide both sides by 33: x = 54047/11"], "final_answer": "54047/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 7597) = -16(x - 2062)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 7597, \"c\": -16, \"d\": 2062}", "seed": "14966327981867138091", "semantic_fingerprint": "sha256:4ca88f0459f3cf0d7856848b5d086b2680666647e27de88f92987d66e5946cab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003500", "prompt": "Find x: -22x + 9344 = x + 4813", "solution_steps": ["Subtract x from both sides: -23x + 9344 = 4813", "Subtract 9344 from both sides: -23x = -4531", "Divide both sides by -23: x = 197"], "final_answer": "197", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x + 9344 = x + 4813", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 9344, \"d\": 4813, \"x\": 197}", "seed": "1519103130500466742", "semantic_fingerprint": "sha256:91982d075d85e7995d1830144e361afc9085ecd1ff5194512212263696163db0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003501", "prompt": "Compute: -86887 - (-5485)", "solution_steps": ["Subtract: -86887 - (-5485) = -81402"], "final_answer": "-81402", "answer_type": "integer", "kind": "expression", "math_text": "-86887 - (-5485)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86887, \"b\": -5485}", "seed": "9270263440481303987", "semantic_fingerprint": "sha256:a8572fd704817701b94c0b3db453ee3ec0af0eaf2c510e4a6d58f36b591fa01d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003502", "prompt": "Evaluate: 6821 + 43349", "solution_steps": ["Add: 6821 + 43349 = 50170"], "final_answer": "50170", "answer_type": "integer", "kind": "expression", "math_text": "6821 + 43349", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6821, \"b\": 43349}", "seed": "780519737318165127", "semantic_fingerprint": "sha256:826569988b97a391384eedf7a4634e77ec060b8ad6f609b099374b327ed2b6a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003503", "prompt": "Solve the equation x - 9419 = -9489 for x.", "solution_steps": ["Add 9419 to both sides: x = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9419 = -9489", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9419, \"c\": -9489, \"x\": -70}", "seed": "4717241836732153451", "semantic_fingerprint": "sha256:e9687daea8aca78ec1b5d7bd3ba45d60b1b95b575ef095a5d3d9f4cd4f17b402", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003504", "prompt": "Evaluate: 5179 + 3486 + (60366 - 3239)", "solution_steps": ["Add: 5179 + 3486 = 8665", "Subtract: 60366 - 3239 = 57127", "Add: 8665 + 57127 = 65792"], "final_answer": "65792", "answer_type": "integer", "kind": "expression", "math_text": "5179 + 3486 + (60366 - 3239)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5179, \"b\": 3486, \"c\": 60366, \"d\": 3239}", "seed": "15585528125049512883", "semantic_fingerprint": "sha256:d03c59bc2512974806427f0cd1243a0cff202655a9793dd88a1bab6ddef7a733", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003505", "prompt": "What is 79672 / (-8575 + (-37030))?", "solution_steps": ["Add: -8575 + (-37030) = -45605", "Divide: 79672 / (-45605) = -79672/45605"], "final_answer": "-79672/45605", "answer_type": "rational", "kind": "expression", "math_text": "79672 / (-8575 + (-37030))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79672, \"b\": -8575, \"c\": -37030}", "seed": "11150484753819365106", "semantic_fingerprint": "sha256:3b0127df1fabb6cf541ee22defa71b6028bc9fef198c98a26e3492c2974d9681", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003506", "prompt": "Calculate: 1182 * 2568 * (-7544 - 5861)", "solution_steps": ["Multiply: 1182 * 2568 = 3035376", "Subtract: -7544 - 5861 = -13405", "Multiply: 3035376 * (-13405) = -40689215280"], "final_answer": "-40689215280", "answer_type": "integer", "kind": "expression", "math_text": "1182 * 2568 * (-7544 - 5861)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1182, \"b\": 2568, \"c\": -7544, \"d\": 5861}", "seed": "15196898280840856728", "semantic_fingerprint": "sha256:1b8c262cfaa34817715e6e43c1806deab29757a117cc50a9306c7a59051fae00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003507", "prompt": "What is -4207 * 6536?", "solution_steps": ["Multiply: -4207 * 6536 = -27496952"], "final_answer": "-27496952", "answer_type": "integer", "kind": "expression", "math_text": "-4207 * 6536", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4207, \"b\": 6536}", "seed": "2225730631303413383", "semantic_fingerprint": "sha256:2de17819e5544b24d2bcd48c1252f4fbb1553394f1d94bfc69ab7987ae11c95e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003508", "prompt": "What is -86564 / (-30012) - (5757 - 29178) + (-99482)?", "solution_steps": ["Divide: -86564 / (-30012) = 21641/7503", "Subtract: 5757 - 29178 = -23421", "Subtract: 21641/7503 - (-23421) = 175749404/7503", "Add: 175749404/7503 + (-99482) = -570664042/7503"], "final_answer": "-570664042/7503", "answer_type": "rational", "kind": "expression", "math_text": "-86564 / (-30012) - (5757 - 29178) + (-99482)", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -86564, \"b\": -30012, \"c\": 5757, \"d\": 29178, \"e\": -99482}", "seed": "10671243583045570060", "semantic_fingerprint": "sha256:f26fea12b5522e14abad452805ef4af68efdae1a263e5ef6309514d577035fb2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003509", "prompt": "Find x: x + 6439 = 6604", "solution_steps": ["Subtract 6439 from both sides: x = 165"], "final_answer": "165", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6439 = 6604", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6439, \"c\": 6604, \"x\": 165}", "seed": "31709397707167771", "semantic_fingerprint": "sha256:97ec699f3ba631ec03fc9ccf5ea44bba65efecab130ea5fcba14e586153ef09c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003510", "prompt": "What is -3284 + 44251?", "solution_steps": ["Add: -3284 + 44251 = 40967"], "final_answer": "40967", "answer_type": "integer", "kind": "expression", "math_text": "-3284 + 44251", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3284, \"b\": 44251}", "seed": "673698896500617809", "semantic_fingerprint": "sha256:d5ef4dbb1aa04c19b89235e3900b04cf29751b34e5044b3119d6f4317578fe6c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003511", "prompt": "Find x: -40x + 9681 = x", "solution_steps": ["Subtract x from both sides: -41x + 9681 = 0", "Subtract 9681 from both sides: -41x = -9681", "Divide both sides by -41: x = 9681/41"], "final_answer": "9681/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40x + 9681 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 9681}", "seed": "10147369395031267064", "semantic_fingerprint": "sha256:4d718b31054c9098eee6c6e686f677f1d6e3b179352d2d0d57b306f1bf3a9a85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003512", "prompt": "Compute: 30131 - (-59809) - 8571 / 50294 - (-9468 - (-6862))", "solution_steps": ["Subtract: 30131 - (-59809) = 89940", "Divide: 8571 / 50294 = 8571/50294", "Subtract: 89940 - 8571/50294 = 4523433789/50294", "Subtract: -9468 - (-6862) = -2606", "Subtract: 4523433789/50294 - (-2606) = 4654499953/50294"], "final_answer": "4654499953/50294", "answer_type": "rational", "kind": "expression", "math_text": "30131 - (-59809) - 8571 / 50294 - (-9468 - (-6862))", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30131, \"b\": -59809, \"c\": 8571, \"d\": 50294, \"e\": -9468, \"f\": -6862}", "seed": "15780215547891109890", "semantic_fingerprint": "sha256:9075cc9d8ecd004e71fec6f29d7b8a309036a16e5939f34e9313146cfe6e4255", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003513", "prompt": "Find x: -24x - 70919 = x - 67119", "solution_steps": ["Subtract x from both sides: -25x - 70919 = -67119", "Add 70919 to both sides: -25x = 3800", "Divide both sides by -25: x = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x - 70919 = x - 67119", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 70919, \"d\": -67119, \"x\": -152}", "seed": "10333606921664516691", "semantic_fingerprint": "sha256:6b64ae0e910c2a5010efe6ce9b39b91acb7ca94d380c149323cb18bbf505efbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003514", "prompt": "Compute: -33881 + (-9982) + 17242", "solution_steps": ["Add: -33881 + (-9982) = -43863", "Add: -43863 + 17242 = -26621"], "final_answer": "-26621", "answer_type": "integer", "kind": "expression", "math_text": "-33881 + (-9982) + 17242", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33881, \"b\": -9982, \"c\": 17242}", "seed": "11935740356786272897", "semantic_fingerprint": "sha256:d0d9132247b53281305f439758b56b57ff5c14b3e447a8265d737815e1d87719", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003515", "prompt": "What is -8176 + (2640 + (-3770))?", "solution_steps": ["Add: 2640 + (-3770) = -1130", "Add: -8176 + (-1130) = -9306"], "final_answer": "-9306", "answer_type": "integer", "kind": "expression", "math_text": "-8176 + (2640 + (-3770))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8176, \"b\": 2640, \"c\": -3770}", "seed": "17236322599775881578", "semantic_fingerprint": "sha256:b37b4ebd1bc03215f7bb19b60ff69ce4a3f04d24866029778c027e6e1a4688b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003516", "prompt": "What is -7072 + (-22635 * 99878 - (-8971 + (-61183)))?", "solution_steps": ["Multiply: -22635 * 99878 = -2260738530", "Add: -8971 + (-61183) = -70154", "Subtract: -2260738530 - (-70154) = -2260668376", "Add: -7072 + (-2260668376) = -2260675448"], "final_answer": "-2260675448", "answer_type": "integer", "kind": "expression", "math_text": "-7072 + (-22635 * 99878 - (-8971 + (-61183)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7072, \"b\": -22635, \"c\": 99878, \"d\": -8971, \"e\": -61183}", "seed": "18442821991783263750", "semantic_fingerprint": "sha256:ea6aacf680e5c578d6e72b590f58005429c1ec9d81798f37b552047b2528711b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003517", "prompt": "Evaluate: (-5112 + 25434) * (-4789)", "solution_steps": ["Add: -5112 + 25434 = 20322", "Multiply: 20322 * (-4789) = -97322058"], "final_answer": "-97322058", "answer_type": "integer", "kind": "expression", "math_text": "(-5112 + 25434) * (-4789)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5112, \"b\": 25434, \"c\": -4789}", "seed": "275998088370584777", "semantic_fingerprint": "sha256:f29bd3d5e2e3293361084bb34db3a1fd175a05220b22b0ff24b44f7f61d607c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003518", "prompt": "Calculate: 6028 - (-5957 - (2768 + 4421))", "solution_steps": ["Add: 2768 + 4421 = 7189", "Subtract: -5957 - 7189 = -13146", "Subtract: 6028 - (-13146) = 19174"], "final_answer": "19174", "answer_type": "integer", "kind": "expression", "math_text": "6028 - (-5957 - (2768 + 4421))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6028, \"b\": -5957, \"c\": 2768, \"d\": 4421}", "seed": "9611473341230240066", "semantic_fingerprint": "sha256:78378b7166b0f6ec341a75078afd1e83c1f05c7ef7e0eb489b63e88d8f8ab110", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003519", "prompt": "Evaluate: (93596 + 8598) * (-92286 / 2098)", "solution_steps": ["Add: 93596 + 8598 = 102194", "Divide: -92286 / 2098 = -46143/1049", "Multiply: 102194 * (-46143/1049) = -4715537742/1049"], "final_answer": "-4715537742/1049", "answer_type": "rational", "kind": "expression", "math_text": "(93596 + 8598) * (-92286 / 2098)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 93596, \"b\": 8598, \"c\": -92286, \"d\": 2098}", "seed": "5764387059335604633", "semantic_fingerprint": "sha256:ef3901f2dc298cb6dbbf55d79640189276ded73c7319af5f3861c1ded70cddaf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003520", "prompt": "Solve for x: x = -30x + 5022", "solution_steps": ["Add 30x to both sides: 31x = 5022", "Divide both sides by 31: x = 162"], "final_answer": "162", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -30x + 5022", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30, \"c\": 5022, \"x\": 162}", "seed": "17001565853384910931", "semantic_fingerprint": "sha256:3679a0209cdab78d855811aba6f70589903ff7b9c5f425735e4d6b1d1c850666", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003521", "prompt": "Evaluate: 3966 + (-61538 + (-53379) + (-32650 - (-5529)))", "solution_steps": ["Add: -61538 + (-53379) = -114917", "Subtract: -32650 - (-5529) = -27121", "Add: -114917 + (-27121) = -142038", "Add: 3966 + (-142038) = -138072"], "final_answer": "-138072", "answer_type": "integer", "kind": "expression", "math_text": "3966 + (-61538 + (-53379) + (-32650 - (-5529)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3966, \"b\": -61538, \"c\": -53379, \"d\": -32650, \"e\": -5529}", "seed": "11508920618571132038", "semantic_fingerprint": "sha256:7e66dab0642410e5cf78bbe89d2940718784feed73f9708d8103655246d2b5e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003522", "prompt": "What is 9583 - 9949 / (67435 - (-7569))?", "solution_steps": ["Subtract: 67435 - (-7569) = 75004", "Divide: 9949 / 75004 = 9949/75004", "Subtract: 9583 - 9949/75004 = 718753383/75004"], "final_answer": "718753383/75004", "answer_type": "rational", "kind": "expression", "math_text": "9583 - 9949 / (67435 - (-7569))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9583, \"b\": 9949, \"c\": 67435, \"d\": -7569}", "seed": "10835535954353685418", "semantic_fingerprint": "sha256:324bd83ffd1f97298b9c1dd5730a2375042e9863d0b53beb37da302dc94c9f39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003523", "prompt": "Compute: -5820 + 6898 / (-3883)", "solution_steps": ["Divide: 6898 / (-3883) = -6898/3883", "Add: -5820 + (-6898/3883) = -22605958/3883"], "final_answer": "-22605958/3883", "answer_type": "rational", "kind": "expression", "math_text": "-5820 + 6898 / (-3883)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5820, \"b\": 6898, \"c\": -3883}", "seed": "703692443321865907", "semantic_fingerprint": "sha256:5b8a6065bfc040886f50e88b5e83343cb5f6d28144495e84bb50ab1f611b81b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003524", "prompt": "What is 6459 + (-4993)?", "solution_steps": ["Add: 6459 + (-4993) = 1466"], "final_answer": "1466", "answer_type": "integer", "kind": "expression", "math_text": "6459 + (-4993)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6459, \"b\": -4993}", "seed": "8088681845307935362", "semantic_fingerprint": "sha256:41d6eb051c082cb15084884ddfaaf2984e212a0d3b4d49028171ff6988ed238c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003525", "prompt": "Evaluate: -8310 + (1122 + 9033)", "solution_steps": ["Add: 1122 + 9033 = 10155", "Add: -8310 + 10155 = 1845"], "final_answer": "1845", "answer_type": "integer", "kind": "expression", "math_text": "-8310 + (1122 + 9033)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8310, \"b\": 1122, \"c\": 9033}", "seed": "6851783050193119635", "semantic_fingerprint": "sha256:20aa9c6b663107af659ddd978a9b46373eeae3fc4465245fbeb9779bfa838250", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003526", "prompt": "Calculate: (-30877 - (-4235)) / (6633 / (-25155))", "solution_steps": ["Subtract: -30877 - (-4235) = -26642", "Divide: 6633 / (-25155) = -737/2795", "Divide: -26642 / (-737/2795) = 6769490/67"], "final_answer": "6769490/67", "answer_type": "rational", "kind": "expression", "math_text": "(-30877 - (-4235)) / (6633 / (-25155))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30877, \"b\": -4235, \"c\": 6633, \"d\": -25155}", "seed": "8773910626917539730", "semantic_fingerprint": "sha256:ed8688640787e47ac0116038683a821e4ed2610ab3de15b97a1c3b212f4b6391", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003527", "prompt": "Evaluate: (-20935 - (35702 - 7154 - 69032)) / (-1773)", "solution_steps": ["Subtract: 35702 - 7154 = 28548", "Subtract: 28548 - 69032 = -40484", "Subtract: -20935 - (-40484) = 19549", "Divide: 19549 / (-1773) = -19549/1773"], "final_answer": "-19549/1773", "answer_type": "rational", "kind": "expression", "math_text": "(-20935 - (35702 - 7154 - 69032)) / (-1773)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20935, \"b\": 35702, \"c\": 7154, \"d\": 69032, \"e\": -1773}", "seed": "2760168490939567470", "semantic_fingerprint": "sha256:d3d67f39332883f1f077eaa514e9221c1e48ab5f1a437c0a7a79cb57f9307c8f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003528", "prompt": "Calculate: -7462 * (-2708) * (-30042)", "solution_steps": ["Multiply: -7462 * (-2708) = 20207096", "Multiply: 20207096 * (-30042) = -607061578032"], "final_answer": "-607061578032", "answer_type": "integer", "kind": "expression", "math_text": "-7462 * (-2708) * (-30042)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7462, \"b\": -2708, \"c\": -30042}", "seed": "2368561955763541605", "semantic_fingerprint": "sha256:b7758bb5940ab02dbe9dae5a73a6e2454c8845cb73926c355cb744d054a5c6a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003529", "prompt": "What is (64933 + (-1666)) / (-90303) * 63931?", "solution_steps": ["Add: 64933 + (-1666) = 63267", "Divide: 63267 / (-90303) = -21089/30101", "Multiply: (-21089/30101) * 63931 = -1348240859/30101"], "final_answer": "-1348240859/30101", "answer_type": "rational", "kind": "expression", "math_text": "(64933 + (-1666)) / (-90303) * 63931", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 64933, \"b\": -1666, \"c\": -90303, \"d\": 63931}", "seed": "16542639582362455913", "semantic_fingerprint": "sha256:da53437be142142b64ec3958c54981fbd18ed6d741009a816c31ae3ae14ab112", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003530", "prompt": "Evaluate: -3482 + (4176 - (-1792))", "solution_steps": ["Subtract: 4176 - (-1792) = 5968", "Add: -3482 + 5968 = 2486"], "final_answer": "2486", "answer_type": "integer", "kind": "expression", "math_text": "-3482 + (4176 - (-1792))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3482, \"b\": 4176, \"c\": -1792}", "seed": "12639668437584199438", "semantic_fingerprint": "sha256:e631c2b4d8cfb3ae3ecad27de7a8bb4be5d5b2765a66ce026902baeafc09f049", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003531", "prompt": "Solve for x: x - 39796 = 29x - 35204", "solution_steps": ["Subtract 29x from both sides: -28x - 39796 = -35204", "Add 39796 to both sides: -28x = 4592", "Divide both sides by -28: x = -164"], "final_answer": "-164", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 39796 = 29x - 35204", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39796, \"b\": 29, \"d\": -35204, \"x\": -164}", "seed": "14756822701689201498", "semantic_fingerprint": "sha256:059fe36007ff07b80d058964d3ea27b83e5da837093267088b0573c8e7510829", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003532", "prompt": "Solve the equation 20(x + 58981) + 32719 = x - 49549 for x.", "solution_steps": ["Expand: 20x + 1179620 + 32719 = x - 49549", "Combine constants: 20x + 1212339 = x - 49549", "Subtract x from both sides: 19x + 1212339 = -49549", "Subtract 1212339 from both sides: 19x = -1261888", "Divide both sides by 19: x = -1261888/19"], "final_answer": "-1261888/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 58981) + 32719 = x - 49549", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 58981, \"c\": 32719, \"d\": 49549}", "seed": "17474356267687241807", "semantic_fingerprint": "sha256:c73fcbf1074693950c03493b90af278f9e42a57f7ef7ef5deb08d3a257390a58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003533", "prompt": "Calculate: 4851 + (-6783)", "solution_steps": ["Add: 4851 + (-6783) = -1932"], "final_answer": "-1932", "answer_type": "integer", "kind": "expression", "math_text": "4851 + (-6783)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4851, \"b\": -6783}", "seed": "14781900254431895579", "semantic_fingerprint": "sha256:39d0b04035bd2aec1f7623c79ff62298cb9070429d253ed68c83723dfed05fea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003534", "prompt": "Calculate: 3953 / 42087 - (6181 - (70194 - (-6768)))", "solution_steps": ["Divide: 3953 / 42087 = 3953/42087", "Subtract: 70194 - (-6768) = 76962", "Subtract: 6181 - 76962 = -70781", "Subtract: 3953/42087 - (-70781) = 2978963900/42087"], "final_answer": "2978963900/42087", "answer_type": "rational", "kind": "expression", "math_text": "3953 / 42087 - (6181 - (70194 - (-6768)))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3953, \"b\": 42087, \"c\": 6181, \"d\": 70194, \"e\": -6768}", "seed": "9810251177169881597", "semantic_fingerprint": "sha256:c59bb1deeb64676d5b34f25401c52db8d0ca5875016dc6ff33f1f4252ad129b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003535", "prompt": "What is -4380 - (51707 + 4635) / 98410 + (-6041 + (-67153))?", "solution_steps": ["Add: 51707 + 4635 = 56342", "Divide: 56342 / 98410 = 2167/3785", "Subtract: -4380 - 2167/3785 = -16580467/3785", "Add: -6041 + (-67153) = -73194", "Add: -16580467/3785 + (-73194) = -293619757/3785"], "final_answer": "-293619757/3785", "answer_type": "rational", "kind": "expression", "math_text": "-4380 - (51707 + 4635) / 98410 + (-6041 + (-67153))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ (+ n n) n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4380, \"b\": 51707, \"c\": 4635, \"d\": 98410, \"e\": -6041, \"f\": -67153}", "seed": "17263002394568456364", "semantic_fingerprint": "sha256:f69e523af616ecf00e923e1bf36d7c3995e4c80f87803f16910e1c6793e0ea2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003536", "prompt": "Solve for x: -31(x - 8084) + 6669 = x", "solution_steps": ["Expand: -31x + 250604 + 6669 = x", "Combine constants: -31x + 257273 = x", "Subtract x from both sides: -32x + 257273 = 0", "Subtract 257273 from both sides: -32x = -257273", "Divide both sides by -32: x = 257273/32"], "final_answer": "257273/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 8084) + 6669 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 8084, \"c\": 6669}", "seed": "12418177663938526586", "semantic_fingerprint": "sha256:b5baca55c12291ef8fa6166942d795f2cbd9a9815edf694b96aeef86d7de8c2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003537", "prompt": "Solve for x: x + 5019 = -19(x + 2812) + 60447", "solution_steps": ["Expand: x + 5019 = -19x - 53428 + 60447", "Combine constants: x + 5019 = -19x + 7019", "Add 19x to both sides: 20x + 5019 = 7019", "Subtract 5019 from both sides: 20x = 2000", "Divide both sides by 20: x = 100"], "final_answer": "100", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5019 = -19(x + 2812) + 60447", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5019, \"b\": -19, \"c\": 2812, \"e\": 60447, \"x\": 100}", "seed": "11669654313476453102", "semantic_fingerprint": "sha256:7b2d5bc5da02171168b09c19f0fd8ac1029169e057723fccfc2aea58844d7dcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003538", "prompt": "Evaluate: 6730 / (-14848) * (-42704 + 3865)", "solution_steps": ["Divide: 6730 / (-14848) = -3365/7424", "Add: -42704 + 3865 = -38839", "Multiply: (-3365/7424) * (-38839) = 130693235/7424"], "final_answer": "130693235/7424", "answer_type": "rational", "kind": "expression", "math_text": "6730 / (-14848) * (-42704 + 3865)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6730, \"b\": -14848, \"c\": -42704, \"d\": 3865}", "seed": "11952303904337226276", "semantic_fingerprint": "sha256:ec858930d1afbd614ade6b05a8d1e6be93f12262bf6032c82d040a1502db4858", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003539", "prompt": "Find x: 27(x - 60530) = 30(x - 98233)", "solution_steps": ["Expand: 27x - 1634310 = 30(x - 98233)", "Expand: 27x - 1634310 = 30x - 2946990", "Subtract 30x from both sides: -3x - 1634310 = -2946990", "Add 1634310 to both sides: -3x = -1312680", "Divide both sides by -3: x = 437560"], "final_answer": "437560", "answer_type": "integer", "kind": "linear_equation", "math_text": "27(x - 60530) = 30(x - 98233)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 60530, \"c\": 30, \"d\": 98233}", "seed": "1108185690599247154", "semantic_fingerprint": "sha256:03b6b5092d5299ea5fc50c9c4015b9e23dd52c2e56994ec49c8982126621a2d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003540", "prompt": "What value of x satisfies 31x = 2883?", "solution_steps": ["Divide both sides by 31: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x = 2883", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": 2883, \"x\": 93}", "seed": "1894599870938072783", "semantic_fingerprint": "sha256:521a2d42ad67556b47af6b7104f8f416b07e3d8d48178aebe2852cba99056f57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003541", "prompt": "Calculate: 42654 - (-2114) + 18956", "solution_steps": ["Subtract: 42654 - (-2114) = 44768", "Add: 44768 + 18956 = 63724"], "final_answer": "63724", "answer_type": "integer", "kind": "expression", "math_text": "42654 - (-2114) + 18956", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 42654, \"b\": -2114, \"c\": 18956}", "seed": "12323116386228481496", "semantic_fingerprint": "sha256:e20b6072c05aa21532c193f8a496c4dd20d108d5cdf23f0896a614c034406dea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003542", "prompt": "Evaluate: -6743 / 41679", "solution_steps": ["Divide: -6743 / 41679 = -613/3789"], "final_answer": "-613/3789", "answer_type": "rational", "kind": "expression", "math_text": "-6743 / 41679", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6743, \"b\": 41679}", "seed": "11145913913098262035", "semantic_fingerprint": "sha256:f2bd61c30e6909390011af7314fd6ca27abd75323830acbe03c09302e7dc08e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003543", "prompt": "Evaluate: (-62929 * (-1793) + (77772 + 5662)) * (-7029)", "solution_steps": ["Multiply: -62929 * (-1793) = 112831697", "Add: 77772 + 5662 = 83434", "Add: 112831697 + 83434 = 112915131", "Multiply: 112915131 * (-7029) = -793680455799"], "final_answer": "-793680455799", "answer_type": "integer", "kind": "expression", "math_text": "(-62929 * (-1793) + (77772 + 5662)) * (-7029)", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -62929, \"b\": -1793, \"c\": 77772, \"d\": 5662, \"e\": -7029}", "seed": "7273416531061739649", "semantic_fingerprint": "sha256:febad22a5d0550c8890884d5b31c30f70dd139de254fc0fe5bb442f97254c40e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003544", "prompt": "Calculate: 6077 / (1588 - 4209) - (-9415)", "solution_steps": ["Subtract: 1588 - 4209 = -2621", "Divide: 6077 / (-2621) = -6077/2621", "Subtract: -6077/2621 - (-9415) = 24670638/2621"], "final_answer": "24670638/2621", "answer_type": "rational", "kind": "expression", "math_text": "6077 / (1588 - 4209) - (-9415)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6077, \"b\": 1588, \"c\": 4209, \"d\": -9415}", "seed": "6335820389888586106", "semantic_fingerprint": "sha256:71b21581359e99a6c434bc5c0638a1de0b0a7c0134a199c83cafe69db493f99a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003545", "prompt": "Evaluate: (2413 - 60677) / (1894 + (-7584))", "solution_steps": ["Subtract: 2413 - 60677 = -58264", "Add: 1894 + (-7584) = -5690", "Divide: -58264 / (-5690) = 29132/2845"], "final_answer": "29132/2845", "answer_type": "rational", "kind": "expression", "math_text": "(2413 - 60677) / (1894 + (-7584))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2413, \"b\": 60677, \"c\": 1894, \"d\": -7584}", "seed": "4055278254705661541", "semantic_fingerprint": "sha256:d4747d85c5a73c7c6286acd69475dd672b6688fc63738fa62f69acbc1afb5256", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003546", "prompt": "What value of x satisfies 24x = x - 24807?", "solution_steps": ["Subtract x from both sides: 23x = -24807", "Divide both sides by 23: x = -24807/23"], "final_answer": "-24807/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x = x - 24807", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 24807}", "seed": "3307238554051773734", "semantic_fingerprint": "sha256:550423eb0eb56f1e0ebd818a55d4b4d8455f441d2c3805c0efac5b33530294a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003547", "prompt": "Find x: -21x = -22x", "solution_steps": ["Add 22x to both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x = -22x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": -22}", "seed": "4182325865102203781", "semantic_fingerprint": "sha256:80726e9e4878b8c3425b2741e4a7012cc8295da1784365b9198f81f12d9697e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003548", "prompt": "Calculate: -58149 - 6080", "solution_steps": ["Subtract: -58149 - 6080 = -64229"], "final_answer": "-64229", "answer_type": "integer", "kind": "expression", "math_text": "-58149 - 6080", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -58149, \"b\": 6080}", "seed": "16596646721705431968", "semantic_fingerprint": "sha256:1a30d9d9d30b93af91c8118f1c5c548a966fee87aef4b6b1f86346e52fd95276", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003549", "prompt": "Compute: -7208 * (-4992 + (-8219) - 5731)", "solution_steps": ["Add: -4992 + (-8219) = -13211", "Subtract: -13211 - 5731 = -18942", "Multiply: -7208 * (-18942) = 136533936"], "final_answer": "136533936", "answer_type": "integer", "kind": "expression", "math_text": "-7208 * (-4992 + (-8219) - 5731)", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7208, \"b\": -4992, \"c\": -8219, \"d\": 5731}", "seed": "1944186704277804897", "semantic_fingerprint": "sha256:e9c6056c7781404d41a1f64b1a74684e29d3e5572adf779abe4f34f696cafe13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003550", "prompt": "Evaluate: 13295 - 5991 - 7282", "solution_steps": ["Subtract: 13295 - 5991 = 7304", "Subtract: 7304 - 7282 = 22"], "final_answer": "22", "answer_type": "integer", "kind": "expression", "math_text": "13295 - 5991 - 7282", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13295, \"b\": 5991, \"c\": 7282}", "seed": "9884338756512107357", "semantic_fingerprint": "sha256:5c730e3d57a0e3971c194a06837a5e564fe393cc3cbcb71fca471d4ba141f07d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003551", "prompt": "Compute: -2204 + (-9902) / 75315", "solution_steps": ["Divide: -9902 / 75315 = -9902/75315", "Add: -2204 + (-9902/75315) = -166004162/75315"], "final_answer": "-166004162/75315", "answer_type": "rational", "kind": "expression", "math_text": "-2204 + (-9902) / 75315", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2204, \"b\": -9902, \"c\": 75315}", "seed": "13762805354090448792", "semantic_fingerprint": "sha256:f47d0962003ce2ba52e2c7eb7207a108acf056bbb9830534a1fd9bdea01ed9c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003552", "prompt": "Calculate: (44670 - (-8875)) / 49735", "solution_steps": ["Subtract: 44670 - (-8875) = 53545", "Divide: 53545 / 49735 = 10709/9947"], "final_answer": "10709/9947", "answer_type": "rational", "kind": "expression", "math_text": "(44670 - (-8875)) / 49735", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44670, \"b\": -8875, \"c\": 49735}", "seed": "15817439191144254831", "semantic_fingerprint": "sha256:2df7ced492ffd7ebe3d346afef3081c86b0e21a5746405dbdd5a5f607d6fadc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003553", "prompt": "What is -2205 / (30733 + (-2396)) * 72954?", "solution_steps": ["Add: 30733 + (-2396) = 28337", "Divide: -2205 / 28337 = -2205/28337", "Multiply: (-2205/28337) * 72954 = -160863570/28337"], "final_answer": "-160863570/28337", "answer_type": "rational", "kind": "expression", "math_text": "-2205 / (30733 + (-2396)) * 72954", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2205, \"b\": 30733, \"c\": -2396, \"d\": 72954}", "seed": "5746277779950748255", "semantic_fingerprint": "sha256:7497c58b02683225fd961248c3313518812aae0fce1829ecc30b3259c3763a4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003554", "prompt": "Evaluate: 47338 - 8722 - 5334 + 64657 * (-9137)", "solution_steps": ["Subtract: 47338 - 8722 = 38616", "Subtract: 38616 - 5334 = 33282", "Multiply: 64657 * (-9137) = -590771009", "Add: 33282 + (-590771009) = -590737727"], "final_answer": "-590737727", "answer_type": "integer", "kind": "expression", "math_text": "47338 - 8722 - 5334 + 64657 * (-9137)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 47338, \"b\": 8722, \"c\": 5334, \"d\": 64657, \"e\": -9137}", "seed": "95034045543130471", "semantic_fingerprint": "sha256:4daf193cf87e12d95e2e02879de0972ea43c93772c12cccd64a49f4249f3b4b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003555", "prompt": "Calculate: (-9327 - (-3804)) * (-2924)", "solution_steps": ["Subtract: -9327 - (-3804) = -5523", "Multiply: -5523 * (-2924) = 16149252"], "final_answer": "16149252", "answer_type": "integer", "kind": "expression", "math_text": "(-9327 - (-3804)) * (-2924)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9327, \"b\": -3804, \"c\": -2924}", "seed": "9173498918213408756", "semantic_fingerprint": "sha256:cd200b0ff1d33a76c74a3b938edc9e28e2c6c2cb1aa94998003e858bcca82c44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003556", "prompt": "What is -9340 + (3973 + 43459) + (-3051)?", "solution_steps": ["Add: 3973 + 43459 = 47432", "Add: -9340 + 47432 = 38092", "Add: 38092 + (-3051) = 35041"], "final_answer": "35041", "answer_type": "integer", "kind": "expression", "math_text": "-9340 + (3973 + 43459) + (-3051)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9340, \"b\": 3973, \"c\": 43459, \"d\": -3051}", "seed": "8232981242893261164", "semantic_fingerprint": "sha256:ef28de681625d99888ecf89f9902d8c4c00b60f19f8bb60cbf0f88e63d5b22ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003557", "prompt": "Solve the equation 39x - 3241 = 21(x - 2804) + 59135 for x.", "solution_steps": ["Expand: 39x - 3241 = 21x - 58884 + 59135", "Combine constants: 39x - 3241 = 21x + 251", "Subtract 21x from both sides: 18x - 3241 = 251", "Add 3241 to both sides: 18x = 3492", "Divide both sides by 18: x = 194"], "final_answer": "194", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x - 3241 = 21(x - 2804) + 59135", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 3241, \"c\": 21, \"d\": 2804, \"f\": 59135, \"x\": 194}", "seed": "11892434602028087973", "semantic_fingerprint": "sha256:1a9d6c589233c4225424a14b8f1cf251ddf327b4896b543719cb4fd9c68c8346", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003558", "prompt": "Calculate: -5008 - (-2869)", "solution_steps": ["Subtract: -5008 - (-2869) = -2139"], "final_answer": "-2139", "answer_type": "integer", "kind": "expression", "math_text": "-5008 - (-2869)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5008, \"b\": -2869}", "seed": "12913893129857318520", "semantic_fingerprint": "sha256:32dd5374dd692308ce32a32ae580c0246419fecefc508a217e9ddfda3630a723", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003559", "prompt": "Solve for x: 39x + 92924 = x", "solution_steps": ["Subtract x from both sides: 38x + 92924 = 0", "Subtract 92924 from both sides: 38x = -92924", "Divide both sides by 38: x = -46462/19"], "final_answer": "-46462/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x + 92924 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 92924}", "seed": "996545790780682943", "semantic_fingerprint": "sha256:ba939a414ddd434f4deefee3b73973a723d692f888f0874005ecf20220d38cfe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003560", "prompt": "Solve for x: x - 3665 = 32(x - 83813)", "solution_steps": ["Expand: x - 3665 = 32x - 2682016", "Subtract 32x from both sides: -31x - 3665 = -2682016", "Add 3665 to both sides: -31x = -2678351", "Divide both sides by -31: x = 2678351/31"], "final_answer": "2678351/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3665 = 32(x - 83813)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3665, \"b\": 32, \"c\": 83813}", "seed": "8076645207173563575", "semantic_fingerprint": "sha256:6407d956fd383392c4fd908269fa67281748df8c5454069cb431e28f04061147", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003561", "prompt": "Calculate: 3031 + 6994", "solution_steps": ["Add: 3031 + 6994 = 10025"], "final_answer": "10025", "answer_type": "integer", "kind": "expression", "math_text": "3031 + 6994", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3031, \"b\": 6994}", "seed": "2204427107203675276", "semantic_fingerprint": "sha256:f92b5915bc5f5844c48d8e4dd367197ec14c2a8d3e143083cd252e8dc8ddae1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003562", "prompt": "What is 2039 + (-98612 - (-9610) * (-6526) / (-2308))?", "solution_steps": ["Multiply: -9610 * (-6526) = 62714860", "Divide: 62714860 / (-2308) = -15678715/577", "Subtract: -98612 - (-15678715/577) = -41220409/577", "Add: 2039 + (-41220409/577) = -40043906/577"], "final_answer": "-40043906/577", "answer_type": "rational", "kind": "expression", "math_text": "2039 + (-98612 - (-9610) * (-6526) / (-2308))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (/ (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2039, \"b\": -98612, \"c\": -9610, \"d\": -6526, \"e\": -2308}", "seed": "17783862340381976781", "semantic_fingerprint": "sha256:520bc46f9ab12f7815537363b6324950dd92b3d605bc86c7b524e49db37c62d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003563", "prompt": "Find x: x - 83622 = 31x - 86652", "solution_steps": ["Subtract 31x from both sides: -30x - 83622 = -86652", "Add 83622 to both sides: -30x = -3030", "Divide both sides by -30: x = 101"], "final_answer": "101", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 83622 = 31x - 86652", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 83622, \"b\": 31, \"d\": -86652, \"x\": 101}", "seed": "6955593914571422321", "semantic_fingerprint": "sha256:1566db5140a7633be54c027188f344aabe3aaae9e5058788383c658d820392cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003564", "prompt": "What is 50442 + (3764 - 4787)?", "solution_steps": ["Subtract: 3764 - 4787 = -1023", "Add: 50442 + (-1023) = 49419"], "final_answer": "49419", "answer_type": "integer", "kind": "expression", "math_text": "50442 + (3764 - 4787)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50442, \"b\": 3764, \"c\": 4787}", "seed": "14102216740207136564", "semantic_fingerprint": "sha256:1c23e758ff3e19ececacaec633ff9aae6c95e490b5ad9bf84404d418abb4d0fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003565", "prompt": "Compute: 5884 + (-2385) * (-97702 - 8157)", "solution_steps": ["Subtract: -97702 - 8157 = -105859", "Multiply: -2385 * (-105859) = 252473715", "Add: 5884 + 252473715 = 252479599"], "final_answer": "252479599", "answer_type": "integer", "kind": "expression", "math_text": "5884 + (-2385) * (-97702 - 8157)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5884, \"b\": -2385, \"c\": -97702, \"d\": 8157}", "seed": "11558871154202078727", "semantic_fingerprint": "sha256:6ba8bc3df9675574bf48e450e4741062fa1558396ae8985e3f239286297a1873", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003566", "prompt": "Calculate: -52880 + 9754 + (-8002) - 9580 * (-3625)", "solution_steps": ["Add: -52880 + 9754 = -43126", "Add: -43126 + (-8002) = -51128", "Multiply: 9580 * (-3625) = -34727500", "Subtract: -51128 - (-34727500) = 34676372"], "final_answer": "34676372", "answer_type": "integer", "kind": "expression", "math_text": "-52880 + 9754 + (-8002) - 9580 * (-3625)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -52880, \"b\": 9754, \"c\": -8002, \"d\": 9580, \"e\": -3625}", "seed": "12385553139476379767", "semantic_fingerprint": "sha256:800713952c559c89af13293778e534efb38512db53cb1809b224aa459c92b0aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003567", "prompt": "Calculate: -4553 * (-7591) - (77321 + (-72649) - (-1983)) + 3630", "solution_steps": ["Multiply: -4553 * (-7591) = 34561823", "Add: 77321 + (-72649) = 4672", "Subtract: 4672 - (-1983) = 6655", "Subtract: 34561823 - 6655 = 34555168", "Add: 34555168 + 3630 = 34558798"], "final_answer": "34558798", "answer_type": "integer", "kind": "expression", "math_text": "-4553 * (-7591) - (77321 + (-72649) - (-1983)) + 3630", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) (- (+ n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4553, \"b\": -7591, \"c\": 77321, \"d\": -72649, \"e\": -1983, \"f\": 3630}", "seed": "1236906814960534067", "semantic_fingerprint": "sha256:1eb158bd4b971b2cdf29a5232004e3dd0656ac5453fd8265d19baf6d12bf49ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003568", "prompt": "What value of x satisfies x = 13(x - 8470)?", "solution_steps": ["Expand: x = 13x - 110110", "Subtract 13x from both sides: -12x = -110110", "Divide both sides by -12: x = 55055/6"], "final_answer": "55055/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 13(x - 8470)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 8470}", "seed": "766113997761998238", "semantic_fingerprint": "sha256:123fc72c3edbf04dbe8b8009059a04437f994137a8e64fb29e89bf9d6d41e7bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003569", "prompt": "Compute: -1231 * (-3267 - 7888)", "solution_steps": ["Subtract: -3267 - 7888 = -11155", "Multiply: -1231 * (-11155) = 13731805"], "final_answer": "13731805", "answer_type": "integer", "kind": "expression", "math_text": "-1231 * (-3267 - 7888)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1231, \"b\": -3267, \"c\": 7888}", "seed": "13656004471049007626", "semantic_fingerprint": "sha256:a28ef6e63eeda109f1433e03b3ea4decb99478efd018679f1fc8f1cd9812a8c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003570", "prompt": "Calculate: -4431 - (-37224) * 9447", "solution_steps": ["Multiply: -37224 * 9447 = -351655128", "Subtract: -4431 - (-351655128) = 351650697"], "final_answer": "351650697", "answer_type": "integer", "kind": "expression", "math_text": "-4431 - (-37224) * 9447", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4431, \"b\": -37224, \"c\": 9447}", "seed": "13884381152339986903", "semantic_fingerprint": "sha256:cfa2317498a82f770f13dd24e09c0ca70b7ce6f1fdfe8909d2260476e1853477", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003571", "prompt": "Calculate: (49761 - (-8215)) / (-55777 - (-1051)) * (-3141)", "solution_steps": ["Subtract: 49761 - (-8215) = 57976", "Subtract: -55777 - (-1051) = -54726", "Divide: 57976 / (-54726) = -28988/27363", "Multiply: (-28988/27363) * (-3141) = 30350436/9121"], "final_answer": "30350436/9121", "answer_type": "rational", "kind": "expression", "math_text": "(49761 - (-8215)) / (-55777 - (-1051)) * (-3141)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 49761, \"b\": -8215, \"c\": -55777, \"d\": -1051, \"e\": -3141}", "seed": "14567907675024827196", "semantic_fingerprint": "sha256:9bd5e73fdaaf23f99c1e985aff104f9fdbe3c0483eb1b7486c78cfc09890406a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003572", "prompt": "Calculate: 8419 * (-4641)", "solution_steps": ["Multiply: 8419 * (-4641) = -39072579"], "final_answer": "-39072579", "answer_type": "integer", "kind": "expression", "math_text": "8419 * (-4641)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8419, \"b\": -4641}", "seed": "7322819168889266834", "semantic_fingerprint": "sha256:15bf61d95b924cdd8dce70624913429ec62ea79fb4327e8b7eaa20daf9ec95cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003573", "prompt": "Evaluate: (-12733 - (-95473)) * (-2135 / 7715 + (-3473))", "solution_steps": ["Subtract: -12733 - (-95473) = 82740", "Divide: -2135 / 7715 = -427/1543", "Add: -427/1543 + (-3473) = -5359266/1543", "Multiply: 82740 * (-5359266/1543) = -443425668840/1543"], "final_answer": "-443425668840/1543", "answer_type": "rational", "kind": "expression", "math_text": "(-12733 - (-95473)) * (-2135 / 7715 + (-3473))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -12733, \"b\": -95473, \"c\": -2135, \"d\": 7715, \"e\": -3473}", "seed": "262799659849442121", "semantic_fingerprint": "sha256:ecc893069a7bbf519e2f0b58ad060f960feb1df3de1af76850694025e1bb941f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003574", "prompt": "Calculate: 96248 + (5882 - (-57712) / (-18595))", "solution_steps": ["Divide: -57712 / (-18595) = 57712/18595", "Subtract: 5882 - 57712/18595 = 109318078/18595", "Add: 96248 + 109318078/18595 = 1899049638/18595"], "final_answer": "1899049638/18595", "answer_type": "rational", "kind": "expression", "math_text": "96248 + (5882 - (-57712) / (-18595))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96248, \"b\": 5882, \"c\": -57712, \"d\": -18595}", "seed": "16537710534292279633", "semantic_fingerprint": "sha256:e43a24b5fe7d084b471ff7383399d1604aa42c85a6f67efc5525128d7db92cdd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003575", "prompt": "Calculate: (-1233 + (-6198)) * 52250", "solution_steps": ["Add: -1233 + (-6198) = -7431", "Multiply: -7431 * 52250 = -388269750"], "final_answer": "-388269750", "answer_type": "integer", "kind": "expression", "math_text": "(-1233 + (-6198)) * 52250", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1233, \"b\": -6198, \"c\": 52250}", "seed": "4217405103527923376", "semantic_fingerprint": "sha256:d7e71736917dc6526167297f23df8461e9e9037bcf21e93a69868d451015e8bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003576", "prompt": "Calculate: 1308 + (-51590) * (-61262)", "solution_steps": ["Multiply: -51590 * (-61262) = 3160506580", "Add: 1308 + 3160506580 = 3160507888"], "final_answer": "3160507888", "answer_type": "integer", "kind": "expression", "math_text": "1308 + (-51590) * (-61262)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1308, \"b\": -51590, \"c\": -61262}", "seed": "11695114725672871143", "semantic_fingerprint": "sha256:e8c4d8bbfc8d2125fdcf70fc219a1e94acee5b428af8374a5745b297088222e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003577", "prompt": "Compute: -9638 * (-79443 + (53336 - (-73726)))", "solution_steps": ["Subtract: 53336 - (-73726) = 127062", "Add: -79443 + 127062 = 47619", "Multiply: -9638 * 47619 = -458951922"], "final_answer": "-458951922", "answer_type": "integer", "kind": "expression", "math_text": "-9638 * (-79443 + (53336 - (-73726)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9638, \"b\": -79443, \"c\": 53336, \"d\": -73726}", "seed": "2474725992079149038", "semantic_fingerprint": "sha256:4c5220767eca243b853a16a68a431c192040d0d7432a8581d0f6e0a1c7889265", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003578", "prompt": "Calculate: -10554 * 1652 - (-8534)", "solution_steps": ["Multiply: -10554 * 1652 = -17435208", "Subtract: -17435208 - (-8534) = -17426674"], "final_answer": "-17426674", "answer_type": "integer", "kind": "expression", "math_text": "-10554 * 1652 - (-8534)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -10554, \"b\": 1652, \"c\": -8534}", "seed": "6744010791366288968", "semantic_fingerprint": "sha256:754248a9cfa9de036c1fb56418787e85fa2a726f43ba416cd2b109abce30ab2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003579", "prompt": "Evaluate: -5788 - (-3852)", "solution_steps": ["Subtract: -5788 - (-3852) = -1936"], "final_answer": "-1936", "answer_type": "integer", "kind": "expression", "math_text": "-5788 - (-3852)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5788, \"b\": -3852}", "seed": "2448374820357790045", "semantic_fingerprint": "sha256:ffcb308d6eb363721d0270419c9c823e7babe24396a18b3c71e84d4e04b6d662", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003580", "prompt": "Solve the equation x + 9760 = -36x + 14422 for x.", "solution_steps": ["Add 36x to both sides: 37x + 9760 = 14422", "Subtract 9760 from both sides: 37x = 4662", "Divide both sides by 37: x = 126"], "final_answer": "126", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9760 = -36x + 14422", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9760, \"b\": -36, \"d\": 14422, \"x\": 126}", "seed": "7649795861946644833", "semantic_fingerprint": "sha256:07541906d380f5a3a383f0228c0a51117260365e91dc388df5381845bd53f828", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003581", "prompt": "Calculate: 71789 + (-2887) * (-2547) - 61780", "solution_steps": ["Multiply: -2887 * (-2547) = 7353189", "Add: 71789 + 7353189 = 7424978", "Subtract: 7424978 - 61780 = 7363198"], "final_answer": "7363198", "answer_type": "integer", "kind": "expression", "math_text": "71789 + (-2887) * (-2547) - 61780", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 71789, \"b\": -2887, \"c\": -2547, \"d\": 61780}", "seed": "4172919284223339925", "semantic_fingerprint": "sha256:a6aa4e1e0468788448f39dd7b69735e30a753234a4b792c51477834c3918a4e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003582", "prompt": "Evaluate: 9189 - 1177 + (31708 - 4962)", "solution_steps": ["Subtract: 9189 - 1177 = 8012", "Subtract: 31708 - 4962 = 26746", "Add: 8012 + 26746 = 34758"], "final_answer": "34758", "answer_type": "integer", "kind": "expression", "math_text": "9189 - 1177 + (31708 - 4962)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9189, \"b\": 1177, \"c\": 31708, \"d\": 4962}", "seed": "12568405081760806077", "semantic_fingerprint": "sha256:101755be763b477cad7284e592875adba1b4cbeebf247e1606017b3807b74d4b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003583", "prompt": "Find x: x + 57036 = 14(x + 4256)", "solution_steps": ["Expand: x + 57036 = 14x + 59584", "Subtract 14x from both sides: -13x + 57036 = 59584", "Subtract 57036 from both sides: -13x = 2548", "Divide both sides by -13: x = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 57036 = 14(x + 4256)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4256, \"d\": 57036, \"x\": -196}", "seed": "9932693279697650043", "semantic_fingerprint": "sha256:e95499fe0a643dca560ae259af3d301523bb1c0069e443e8b71896b4cf5f7b5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003584", "prompt": "Compute: 3822 + 15390 / (-8131 + 85627)", "solution_steps": ["Add: -8131 + 85627 = 77496", "Divide: 15390 / 77496 = 2565/12916", "Add: 3822 + 2565/12916 = 49367517/12916"], "final_answer": "49367517/12916", "answer_type": "rational", "kind": "expression", "math_text": "3822 + 15390 / (-8131 + 85627)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3822, \"b\": 15390, \"c\": -8131, \"d\": 85627}", "seed": "3054712065961153932", "semantic_fingerprint": "sha256:609de260752d28e360a2b327c8bcfbe1f6d189b0932409510072c75e7588613c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003585", "prompt": "Evaluate: -2616 - (-6828) - (-76674)", "solution_steps": ["Subtract: -2616 - (-6828) = 4212", "Subtract: 4212 - (-76674) = 80886"], "final_answer": "80886", "answer_type": "integer", "kind": "expression", "math_text": "-2616 - (-6828) - (-76674)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2616, \"b\": -6828, \"c\": -76674}", "seed": "14128612679659514351", "semantic_fingerprint": "sha256:ac13d31cc8fa0865be58a7a8adcc08c45889ef196f1a8a3fa6a0928e858ade63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003586", "prompt": "Evaluate: -3199 - (-1950 + 27799)", "solution_steps": ["Add: -1950 + 27799 = 25849", "Subtract: -3199 - 25849 = -29048"], "final_answer": "-29048", "answer_type": "integer", "kind": "expression", "math_text": "-3199 - (-1950 + 27799)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3199, \"b\": -1950, \"c\": 27799}", "seed": "13526709100585416369", "semantic_fingerprint": "sha256:d1ad2dd333a7b6802a27783a4c54caeebf39ef711c2e29ef7d6837d49421ca2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003587", "prompt": "What value of x satisfies x - 68569 = 14x + 5861?", "solution_steps": ["Subtract 14x from both sides: -13x - 68569 = 5861", "Add 68569 to both sides: -13x = 74430", "Divide both sides by -13: x = -74430/13"], "final_answer": "-74430/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 68569 = 14x + 5861", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 68569, \"b\": 14, \"c\": 5861}", "seed": "3564385158280390087", "semantic_fingerprint": "sha256:bb11fade20dcd0d8577131aa4fa291ccb3b70a5f3c8f711b8b53781c49f5e152", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003588", "prompt": "Calculate: -3791 + (-80121) / (-1012 / (-63011))", "solution_steps": ["Divide: -1012 / (-63011) = 1012/63011", "Divide: -80121 / (1012/63011) = -5048504331/1012", "Add: -3791 + (-5048504331/1012) = -5052340823/1012"], "final_answer": "-5052340823/1012", "answer_type": "rational", "kind": "expression", "math_text": "-3791 + (-80121) / (-1012 / (-63011))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3791, \"b\": -80121, \"c\": -1012, \"d\": -63011}", "seed": "17517907520441419959", "semantic_fingerprint": "sha256:df3e46d27116b55cf729c7c90dcdb0be7ae71803148daefc5bf5e5ac77391e9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003589", "prompt": "Compute: -1500 + (82631 + 5950) + (-8554)", "solution_steps": ["Add: 82631 + 5950 = 88581", "Add: -1500 + 88581 = 87081", "Add: 87081 + (-8554) = 78527"], "final_answer": "78527", "answer_type": "integer", "kind": "expression", "math_text": "-1500 + (82631 + 5950) + (-8554)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1500, \"b\": 82631, \"c\": 5950, \"d\": -8554}", "seed": "4870655528429488070", "semantic_fingerprint": "sha256:34ba76c317935ed994845b2f0f16090aa7f7e6a2ba2b856c63f55aed8aa353d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003590", "prompt": "Calculate: 9942 + 4983 * (-53708)", "solution_steps": ["Multiply: 4983 * (-53708) = -267626964", "Add: 9942 + (-267626964) = -267617022"], "final_answer": "-267617022", "answer_type": "integer", "kind": "expression", "math_text": "9942 + 4983 * (-53708)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9942, \"b\": 4983, \"c\": -53708}", "seed": "4532060729572435416", "semantic_fingerprint": "sha256:938866e98ab9f41c6552a382702fea59f5d8c504ae1d066850bfb04bdc5968bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003591", "prompt": "Find x: 39x = x - 2052", "solution_steps": ["Subtract x from both sides: 38x = -2052", "Divide both sides by 38: x = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = x - 2052", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": -2052, \"x\": -54}", "seed": "11948923807031819015", "semantic_fingerprint": "sha256:aef0f284abd3646558c2608ff1a36a36e574c35ca741692c50fa02f20090e5bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003592", "prompt": "Compute: 3148 / (-4195) * (-4544) + 64348", "solution_steps": ["Divide: 3148 / (-4195) = -3148/4195", "Multiply: (-3148/4195) * (-4544) = 14304512/4195", "Add: 14304512/4195 + 64348 = 284244372/4195"], "final_answer": "284244372/4195", "answer_type": "rational", "kind": "expression", "math_text": "3148 / (-4195) * (-4544) + 64348", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3148, \"b\": -4195, \"c\": -4544, \"d\": 64348}", "seed": "6197277605436810241", "semantic_fingerprint": "sha256:e989317be0480564c8c5a4b5de9b87f5869a80af173bffacc2481ea73d29256e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003593", "prompt": "Solve for x: 21(x + 9785) + 24519 = 40(x - 2314) - 5179", "solution_steps": ["Expand: 21x + 205485 + 24519 = 40(x - 2314) - 5179", "Expand: 21x + 205485 + 24519 = 40x - 92560 - 5179", "Combine constants: 21x + 230004 = 40x - 92560 - 5179", "Combine constants: 21x + 230004 = 40x - 97739", "Subtract 40x from both sides: -19x + 230004 = -97739", "Subtract 230004 from both sides: -19x = -327743", "Divide both sides by -19: x = 327743/19"], "final_answer": "327743/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 9785) + 24519 = 40(x - 2314) - 5179", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 9785, \"c\": 24519, \"d\": 40, \"e\": 2314, \"f\": 5179}", "seed": "7640015636524917748", "semantic_fingerprint": "sha256:4d4a561d2db7c5774dca1faa791f7f99027a0b3d5d777f5b30f498863970932b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003594", "prompt": "Evaluate: 1336 - 4248 / 2389", "solution_steps": ["Divide: 4248 / 2389 = 4248/2389", "Subtract: 1336 - 4248/2389 = 3187456/2389"], "final_answer": "3187456/2389", "answer_type": "rational", "kind": "expression", "math_text": "1336 - 4248 / 2389", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1336, \"b\": 4248, \"c\": 2389}", "seed": "14897627538114588837", "semantic_fingerprint": "sha256:98127f9307395a87d51fae746f776d079a4846decc59ddb27faddf32c4bb6f52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003595", "prompt": "Solve for x: 18x = x + 1581", "solution_steps": ["Subtract x from both sides: 17x = 1581", "Divide both sides by 17: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = x + 1581", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": 1581, \"x\": 93}", "seed": "14584058390704525843", "semantic_fingerprint": "sha256:514adaef275e00eda4c88d63b5cbd3fd1aad5bd5ef621bf7979d3b27dc7795a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003596", "prompt": "Evaluate: (6794 - (-19094)) / (-5955)", "solution_steps": ["Subtract: 6794 - (-19094) = 25888", "Divide: 25888 / (-5955) = -25888/5955"], "final_answer": "-25888/5955", "answer_type": "rational", "kind": "expression", "math_text": "(6794 - (-19094)) / (-5955)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6794, \"b\": -19094, \"c\": -5955}", "seed": "8112561779499399421", "semantic_fingerprint": "sha256:08fb36dc033dc7056234821d148a74df03fc1ecf5dd1a1a1d10e9440d0ec1e25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003597", "prompt": "Evaluate: -36739 * (18697 - 36235)", "solution_steps": ["Subtract: 18697 - 36235 = -17538", "Multiply: -36739 * (-17538) = 644328582"], "final_answer": "644328582", "answer_type": "integer", "kind": "expression", "math_text": "-36739 * (18697 - 36235)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -36739, \"b\": 18697, \"c\": 36235}", "seed": "12368619160638867110", "semantic_fingerprint": "sha256:d62def296418720e0a6b9c69f165729d900aea2cccccccb3951facdf01fcba8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003598", "prompt": "Compute: -13406 / 5741", "solution_steps": ["Divide: -13406 / 5741 = -13406/5741"], "final_answer": "-13406/5741", "answer_type": "rational", "kind": "expression", "math_text": "-13406 / 5741", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13406, \"b\": 5741}", "seed": "8548058804204259744", "semantic_fingerprint": "sha256:b90ee28362da13f4e0fcabd941aba5af06f83bdc2260c056d2bd458364657e39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003599", "prompt": "Find x: -37x = -3108", "solution_steps": ["Divide both sides by -37: x = 84"], "final_answer": "84", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x = -3108", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37, \"c\": -3108, \"x\": 84}", "seed": "16286310483790475100", "semantic_fingerprint": "sha256:c6b894163c4645b5e2e27715d976508fbd90b5768285a25b9a4b2c64f36853ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003600", "prompt": "Compute: 4587 * (-7072)", "solution_steps": ["Multiply: 4587 * (-7072) = -32439264"], "final_answer": "-32439264", "answer_type": "integer", "kind": "expression", "math_text": "4587 * (-7072)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4587, \"b\": -7072}", "seed": "9875084467057784090", "semantic_fingerprint": "sha256:5d9c3f75db589f179b81efbdc7dc2bea37c031b9399894376963ca7ed7f18a70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003601", "prompt": "Compute: 23158 + 69179 - (4441 + (-69136) + 16096)", "solution_steps": ["Add: 23158 + 69179 = 92337", "Add: 4441 + (-69136) = -64695", "Add: -64695 + 16096 = -48599", "Subtract: 92337 - (-48599) = 140936"], "final_answer": "140936", "answer_type": "integer", "kind": "expression", "math_text": "23158 + 69179 - (4441 + (-69136) + 16096)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23158, \"b\": 69179, \"c\": 4441, \"d\": -69136, \"e\": 16096}", "seed": "9843388542179626872", "semantic_fingerprint": "sha256:ce8d548e4fa3166b1e1789cd3d9c60e875497068b8e0908718ec5c6379fd8abb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003602", "prompt": "Find x: 38(x + 54156) = 39(x - 7017) - 75681", "solution_steps": ["Expand: 38x + 2057928 = 39(x - 7017) - 75681", "Expand: 38x + 2057928 = 39x - 273663 - 75681", "Combine constants: 38x + 2057928 = 39x - 349344", "Subtract 39x from both sides: -x + 2057928 = -349344", "Subtract 2057928 from both sides: -x = -2407272", "Divide both sides by -1: x = 2407272"], "final_answer": "2407272", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x + 54156) = 39(x - 7017) - 75681", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 54156, \"c\": 39, \"d\": 7017, \"e\": 75681}", "seed": "14228243778964613686", "semantic_fingerprint": "sha256:13f7f482e248ccb40eb6893eb1644ea5ddf3a02383b10ab70e9d383436c77103", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003603", "prompt": "Calculate: 2103 * 54989 + (-7073 + 1410)", "solution_steps": ["Multiply: 2103 * 54989 = 115641867", "Add: -7073 + 1410 = -5663", "Add: 115641867 + (-5663) = 115636204"], "final_answer": "115636204", "answer_type": "integer", "kind": "expression", "math_text": "2103 * 54989 + (-7073 + 1410)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2103, \"b\": 54989, \"c\": -7073, \"d\": 1410}", "seed": "18161237103358379761", "semantic_fingerprint": "sha256:06105e2b73f3742aae49f300d3bd48071b48f0b4db368b27dc7887d1f273cbf5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003604", "prompt": "Evaluate: 88384 - (-3238) * (-4655)", "solution_steps": ["Multiply: -3238 * (-4655) = 15072890", "Subtract: 88384 - 15072890 = -14984506"], "final_answer": "-14984506", "answer_type": "integer", "kind": "expression", "math_text": "88384 - (-3238) * (-4655)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88384, \"b\": -3238, \"c\": -4655}", "seed": "246757044231611133", "semantic_fingerprint": "sha256:7d3c967db43b5b54d2b259783fc1cc758f88a5a717660c59b09807f4f5408248", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003605", "prompt": "Evaluate: 74197 + 81315 / (-8871) - (-5123 * (-64792) - (-17625))", "solution_steps": ["Divide: 81315 / (-8871) = -27105/2957", "Add: 74197 + (-27105/2957) = 219373424/2957", "Multiply: -5123 * (-64792) = 331929416", "Subtract: 331929416 - (-17625) = 331947041", "Subtract: 219373424/2957 - 331947041 = -981348026813/2957"], "final_answer": "-981348026813/2957", "answer_type": "rational", "kind": "expression", "math_text": "74197 + 81315 / (-8871) - (-5123 * (-64792) - (-17625))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ n n)) (- (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 74197, \"b\": 81315, \"c\": -8871, \"d\": -5123, \"e\": -64792, \"f\": -17625}", "seed": "14465390598193796260", "semantic_fingerprint": "sha256:f1278ec2051712e16289d10058b0d9848df452f18418c7a9167d8a2517e1cfc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003606", "prompt": "Compute: (-52722 - 3402) / 3786", "solution_steps": ["Subtract: -52722 - 3402 = -56124", "Divide: -56124 / 3786 = -9354/631"], "final_answer": "-9354/631", "answer_type": "rational", "kind": "expression", "math_text": "(-52722 - 3402) / 3786", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -52722, \"b\": 3402, \"c\": 3786}", "seed": "15904684665720911883", "semantic_fingerprint": "sha256:cc53e6680d5e1174dc18b46d7009e761325b74608ccf278f4d17fbe5c28f3461", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003607", "prompt": "Calculate: -1209 * (-5323) / (-4168)", "solution_steps": ["Multiply: -1209 * (-5323) = 6435507", "Divide: 6435507 / (-4168) = -6435507/4168"], "final_answer": "-6435507/4168", "answer_type": "rational", "kind": "expression", "math_text": "-1209 * (-5323) / (-4168)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1209, \"b\": -5323, \"c\": -4168}", "seed": "4328144846085044486", "semantic_fingerprint": "sha256:1bcc99310eef5023c5b49fba239982b62cd56f7d0ea3db43f5f337ac7924d915", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003608", "prompt": "Solve for x: -13(x + 9958) = x", "solution_steps": ["Expand: -13x - 129454 = x", "Subtract x from both sides: -14x - 129454 = 0", "Add 129454 to both sides: -14x = 129454", "Divide both sides by -14: x = -64727/7"], "final_answer": "-64727/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 9958) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 9958}", "seed": "13464751492300845664", "semantic_fingerprint": "sha256:3adc4bdb43627997e3ca75b5351d27f7d2a205ced844e92d43059e32d7ad136a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003609", "prompt": "Compute: 8215 / 5920", "solution_steps": ["Divide: 8215 / 5920 = 1643/1184"], "final_answer": "1643/1184", "answer_type": "rational", "kind": "expression", "math_text": "8215 / 5920", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8215, \"b\": 5920}", "seed": "9719090635161579309", "semantic_fingerprint": "sha256:30e02df57aea41cbb11fe99d2dbf6ff02468f10dbd10974ac584ac5cfc407fdd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003610", "prompt": "Evaluate: -1176 / 6100", "solution_steps": ["Divide: -1176 / 6100 = -294/1525"], "final_answer": "-294/1525", "answer_type": "rational", "kind": "expression", "math_text": "-1176 / 6100", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1176, \"b\": 6100}", "seed": "8649967457764972487", "semantic_fingerprint": "sha256:6617cba459fb549f63f82ea6f370924ea387dfc6c94e270373d82cef1cb91e6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003611", "prompt": "Calculate: 1506 / (-9589 / 6639) * 1776", "solution_steps": ["Divide: -9589 / 6639 = -9589/6639", "Divide: 1506 / (-9589/6639) = -9998334/9589", "Multiply: (-9998334/9589) * 1776 = -17757041184/9589"], "final_answer": "-17757041184/9589", "answer_type": "rational", "kind": "expression", "math_text": "1506 / (-9589 / 6639) * 1776", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1506, \"b\": -9589, \"c\": 6639, \"d\": 1776}", "seed": "10245333236341345776", "semantic_fingerprint": "sha256:6d65a4b1ddc9e9366e1bc1f30018d1abe45e0e4197f55cfbb42db367730b1825", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003612", "prompt": "Evaluate: 5796 + (-9795 - (1898 - 22761 * (-46882)))", "solution_steps": ["Multiply: 22761 * (-46882) = -1067081202", "Subtract: 1898 - (-1067081202) = 1067083100", "Subtract: -9795 - 1067083100 = -1067092895", "Add: 5796 + (-1067092895) = -1067087099"], "final_answer": "-1067087099", "answer_type": "integer", "kind": "expression", "math_text": "5796 + (-9795 - (1898 - 22761 * (-46882)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- n (* n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5796, \"b\": -9795, \"c\": 1898, \"d\": 22761, \"e\": -46882}", "seed": "3367297184667956382", "semantic_fingerprint": "sha256:c5eedc72a3e6e41d3a05fcc9e7eb7a3987e7626e19288eb69a0ad847412fb369", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003613", "prompt": "Evaluate: -6148 * (-2635) - (-4272)", "solution_steps": ["Multiply: -6148 * (-2635) = 16199980", "Subtract: 16199980 - (-4272) = 16204252"], "final_answer": "16204252", "answer_type": "integer", "kind": "expression", "math_text": "-6148 * (-2635) - (-4272)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6148, \"b\": -2635, \"c\": -4272}", "seed": "17836491583592660794", "semantic_fingerprint": "sha256:370d1f500eef18dc213a80da3c8ca6ab7fd0866c10352c38738384aa27a2c780", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003614", "prompt": "What is 3679 + 3152 - (-5647)?", "solution_steps": ["Add: 3679 + 3152 = 6831", "Subtract: 6831 - (-5647) = 12478"], "final_answer": "12478", "answer_type": "integer", "kind": "expression", "math_text": "3679 + 3152 - (-5647)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3679, \"b\": 3152, \"c\": -5647}", "seed": "10436365961485980121", "semantic_fingerprint": "sha256:4c824d223da20f8b811fd387fcc478b9220ffa2367331d5078453157fcb97123", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003615", "prompt": "What is 4501 - (-15901) - 66744 * 7350?", "solution_steps": ["Subtract: 4501 - (-15901) = 20402", "Multiply: 66744 * 7350 = 490568400", "Subtract: 20402 - 490568400 = -490547998"], "final_answer": "-490547998", "answer_type": "integer", "kind": "expression", "math_text": "4501 - (-15901) - 66744 * 7350", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4501, \"b\": -15901, \"c\": 66744, \"d\": 7350}", "seed": "14603136006373367786", "semantic_fingerprint": "sha256:feb3d4214f974e6183ee2ce8e2ada2b42e720860c12f1128b93b9d2c315250e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003616", "prompt": "Find x: 32(x + 7182) + 82656 = 34(x - 95998) + 6167", "solution_steps": ["Expand: 32x + 229824 + 82656 = 34(x - 95998) + 6167", "Expand: 32x + 229824 + 82656 = 34x - 3263932 + 6167", "Combine constants: 32x + 312480 = 34x - 3263932 + 6167", "Combine constants: 32x + 312480 = 34x - 3257765", "Subtract 34x from both sides: -2x + 312480 = -3257765", "Subtract 312480 from both sides: -2x = -3570245", "Divide both sides by -2: x = 3570245/2"], "final_answer": "3570245/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 7182) + 82656 = 34(x - 95998) + 6167", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 7182, \"c\": 82656, \"d\": 34, \"e\": 95998, \"f\": 6167}", "seed": "9290519582855282056", "semantic_fingerprint": "sha256:0464e8cf8a9dee2483cc6e8b73d54e58fea6e357a8174daf0270b1f06326d44a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003617", "prompt": "What is (70076 + (-53766)) * 6834?", "solution_steps": ["Add: 70076 + (-53766) = 16310", "Multiply: 16310 * 6834 = 111462540"], "final_answer": "111462540", "answer_type": "integer", "kind": "expression", "math_text": "(70076 + (-53766)) * 6834", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70076, \"b\": -53766, \"c\": 6834}", "seed": "3286175691548571811", "semantic_fingerprint": "sha256:ac7d06538ea290b52ee82e65cd48de18aafc12e358614dd6ee3c5b80e97427c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003618", "prompt": "Evaluate: 2022 * 8065 + 2458", "solution_steps": ["Multiply: 2022 * 8065 = 16307430", "Add: 16307430 + 2458 = 16309888"], "final_answer": "16309888", "answer_type": "integer", "kind": "expression", "math_text": "2022 * 8065 + 2458", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2022, \"b\": 8065, \"c\": 2458}", "seed": "2036104387556936159", "semantic_fingerprint": "sha256:7cd3e733174631540f39385d3a7cbe0bdc6f3b1ce9155e23430a0d8710111e82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003619", "prompt": "Evaluate: 3120 * 63575", "solution_steps": ["Multiply: 3120 * 63575 = 198354000"], "final_answer": "198354000", "answer_type": "integer", "kind": "expression", "math_text": "3120 * 63575", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3120, \"b\": 63575}", "seed": "3260171419956498560", "semantic_fingerprint": "sha256:620ff799cfe5e55b7f047a5bfaf1be444cef48dff0bcc534cfcf249381db3268", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003620", "prompt": "Find x: -39(x + 47245) = x", "solution_steps": ["Expand: -39x - 1842555 = x", "Subtract x from both sides: -40x - 1842555 = 0", "Add 1842555 to both sides: -40x = 1842555", "Divide both sides by -40: x = -368511/8"], "final_answer": "-368511/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x + 47245) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 47245}", "seed": "6658377881168114205", "semantic_fingerprint": "sha256:af3a34f736f7a35a767bcdf7e04fb86ce091050e73c2fc6161ad6eb824fdd421", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003621", "prompt": "Evaluate: 69512 + 3507", "solution_steps": ["Add: 69512 + 3507 = 73019"], "final_answer": "73019", "answer_type": "integer", "kind": "expression", "math_text": "69512 + 3507", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 69512, \"b\": 3507}", "seed": "6934390101887227152", "semantic_fingerprint": "sha256:35fac1d4371ebe674e926170ba103664573b9afe5d3523b82c21f3c4c80ac788", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003622", "prompt": "Evaluate: 1875 - (-6989)", "solution_steps": ["Subtract: 1875 - (-6989) = 8864"], "final_answer": "8864", "answer_type": "integer", "kind": "expression", "math_text": "1875 - (-6989)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1875, \"b\": -6989}", "seed": "16531304629994060106", "semantic_fingerprint": "sha256:2bbbbd279a7f70cb5c74d9f0b196b3041a40789b8da7277d96e3e76a253ea372", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003623", "prompt": "Compute: 8442 / ((-61584 - (-7538)) / (-9970))", "solution_steps": ["Subtract: -61584 - (-7538) = -54046", "Divide: -54046 / (-9970) = 27023/4985", "Divide: 8442 / (27023/4985) = 42083370/27023"], "final_answer": "42083370/27023", "answer_type": "rational", "kind": "expression", "math_text": "8442 / ((-61584 - (-7538)) / (-9970))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8442, \"b\": -61584, \"c\": -7538, \"d\": -9970}", "seed": "3816255023675554915", "semantic_fingerprint": "sha256:327c3897ca16fa8646d7de9db78e27e22b0ea41c023f86955241764d5937c21b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003624", "prompt": "Compute: 4410 - 14182 * (-3531)", "solution_steps": ["Multiply: 14182 * (-3531) = -50076642", "Subtract: 4410 - (-50076642) = 50081052"], "final_answer": "50081052", "answer_type": "integer", "kind": "expression", "math_text": "4410 - 14182 * (-3531)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4410, \"b\": 14182, \"c\": -3531}", "seed": "17100329752786671552", "semantic_fingerprint": "sha256:014956e0e7520e16461b34f7759565cb7f2c246c11c0592400b64cd58ca9e274", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003625", "prompt": "Find x: -27(x - 1810) - 63525 = -37x", "solution_steps": ["Expand: -27x + 48870 - 63525 = -37x", "Combine constants: -27x - 14655 = -37x", "Add 37x to both sides: 10x - 14655 = 0", "Add 14655 to both sides: 10x = 14655", "Divide both sides by 10: x = 2931/2"], "final_answer": "2931/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x - 1810) - 63525 = -37x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 1810, \"c\": 63525, \"d\": -37}", "seed": "4430500084625312216", "semantic_fingerprint": "sha256:0d6dadb3e9c7c9a42c900b50340f6baae90fcf2d66b7f756d1a13d83c7645356", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003626", "prompt": "What is -21360 * (-4068 / 51651)?", "solution_steps": ["Divide: -4068 / 51651 = -452/5739", "Multiply: -21360 * (-452/5739) = 3218240/1913"], "final_answer": "3218240/1913", "answer_type": "rational", "kind": "expression", "math_text": "-21360 * (-4068 / 51651)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -21360, \"b\": -4068, \"c\": 51651}", "seed": "17441484265723349249", "semantic_fingerprint": "sha256:1244d905088a542dc7d74078c50857a92a7b4cd19eb8af712a0945e0fd3f9d5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003627", "prompt": "What value of x satisfies x - 4380 = 22x - 8412?", "solution_steps": ["Subtract 22x from both sides: -21x - 4380 = -8412", "Add 4380 to both sides: -21x = -4032", "Divide both sides by -21: x = 192"], "final_answer": "192", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4380 = 22x - 8412", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4380, \"b\": 22, \"d\": -8412, \"x\": 192}", "seed": "13839842757255430360", "semantic_fingerprint": "sha256:6be315d6dd93bba82fe4594be6d43ba8e2c4f5f1cee5268aebe37589d90d210b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003628", "prompt": "Compute: -3693 + (-2167 + (-1604) / 9758)", "solution_steps": ["Divide: -1604 / 9758 = -802/4879", "Add: -2167 + (-802/4879) = -10573595/4879", "Add: -3693 + (-10573595/4879) = -28591742/4879"], "final_answer": "-28591742/4879", "answer_type": "rational", "kind": "expression", "math_text": "-3693 + (-2167 + (-1604) / 9758)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3693, \"b\": -2167, \"c\": -1604, \"d\": 9758}", "seed": "16865353592196064039", "semantic_fingerprint": "sha256:e799b41c5996a5e2b7a1999470a23f96f9b54c22c4374c23b47ff6aa7f5ea2ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003629", "prompt": "Compute: 1221 + (-2262 + (-1988))", "solution_steps": ["Add: -2262 + (-1988) = -4250", "Add: 1221 + (-4250) = -3029"], "final_answer": "-3029", "answer_type": "integer", "kind": "expression", "math_text": "1221 + (-2262 + (-1988))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1221, \"b\": -2262, \"c\": -1988}", "seed": "2185840981600168155", "semantic_fingerprint": "sha256:5f573ae9969b0a328680773e1c76dcf71e7f325902a20154cbe8c0578e6d1252", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003630", "prompt": "Evaluate: (48860 * (-27684) - 51169) / (-9284)", "solution_steps": ["Multiply: 48860 * (-27684) = -1352640240", "Subtract: -1352640240 - 51169 = -1352691409", "Divide: -1352691409 / (-9284) = 1352691409/9284"], "final_answer": "1352691409/9284", "answer_type": "rational", "kind": "expression", "math_text": "(48860 * (-27684) - 51169) / (-9284)", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 48860, \"b\": -27684, \"c\": 51169, \"d\": -9284}", "seed": "12502177200458878655", "semantic_fingerprint": "sha256:cf147e436787e7c0c3a189ec4b4c67640de241e2d16f7a847a7fb6a105aaf1c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003631", "prompt": "Evaluate: -2879 * (-5329)", "solution_steps": ["Multiply: -2879 * (-5329) = 15342191"], "final_answer": "15342191", "answer_type": "integer", "kind": "expression", "math_text": "-2879 * (-5329)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2879, \"b\": -5329}", "seed": "12161751863754510252", "semantic_fingerprint": "sha256:e128b40bb0cc24e36955b79935ebfb52f4ac656d1b0dd935069e4676133c7f03", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003632", "prompt": "What value of x satisfies -34(x - 7250) + 83983 = x - 3442?", "solution_steps": ["Expand: -34x + 246500 + 83983 = x - 3442", "Combine constants: -34x + 330483 = x - 3442", "Subtract x from both sides: -35x + 330483 = -3442", "Subtract 330483 from both sides: -35x = -333925", "Divide both sides by -35: x = 66785/7"], "final_answer": "66785/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x - 7250) + 83983 = x - 3442", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 7250, \"c\": 83983, \"d\": 3442}", "seed": "5116910996059095770", "semantic_fingerprint": "sha256:05230eef301ebde9e7a73ce7235c93aa3e7baac4d84463d6835c1e168bb43f8b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003633", "prompt": "Calculate: -57683 - 8082 / (-28402 + (-57302 + (-20857)))", "solution_steps": ["Add: -57302 + (-20857) = -78159", "Add: -28402 + (-78159) = -106561", "Divide: 8082 / (-106561) = -8082/106561", "Subtract: -57683 - (-8082/106561) = -6146750081/106561"], "final_answer": "-6146750081/106561", "answer_type": "rational", "kind": "expression", "math_text": "-57683 - 8082 / (-28402 + (-57302 + (-20857)))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (+ n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -57683, \"b\": 8082, \"c\": -28402, \"d\": -57302, \"e\": -20857}", "seed": "10015809139629111874", "semantic_fingerprint": "sha256:62f26d49849e8d7c679d557451d8aa0c40794b5b4d42449677fc978273845a30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003634", "prompt": "What value of x satisfies 16(x - 48584) - 7116 = 22x + 5850?", "solution_steps": ["Expand: 16x - 777344 - 7116 = 22x + 5850", "Combine constants: 16x - 784460 = 22x + 5850", "Subtract 22x from both sides: -6x - 784460 = 5850", "Add 784460 to both sides: -6x = 790310", "Divide both sides by -6: x = -395155/3"], "final_answer": "-395155/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 48584) - 7116 = 22x + 5850", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 48584, \"c\": 7116, \"d\": 22, \"e\": 5850}", "seed": "16545993453573851327", "semantic_fingerprint": "sha256:afcbdd576092386149c5ad5cd1c6f50e98b00e57d4ceaa504b91e996a179b79e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003635", "prompt": "Evaluate: -7803 - (-5822) + 59550 + (-9129 * (-2767) - (-7947))", "solution_steps": ["Subtract: -7803 - (-5822) = -1981", "Add: -1981 + 59550 = 57569", "Multiply: -9129 * (-2767) = 25259943", "Subtract: 25259943 - (-7947) = 25267890", "Add: 57569 + 25267890 = 25325459"], "final_answer": "25325459", "answer_type": "integer", "kind": "expression", "math_text": "-7803 - (-5822) + 59550 + (-9129 * (-2767) - (-7947))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7803, \"b\": -5822, \"c\": 59550, \"d\": -9129, \"e\": -2767, \"f\": -7947}", "seed": "7165343065962855322", "semantic_fingerprint": "sha256:5e360535cf18e383d95098fbec0abef519ab2b2abcb1075c71475335b711b9e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003636", "prompt": "Find x: -31(x - 2302) = 14x + 75142", "solution_steps": ["Expand: -31x + 71362 = 14x + 75142", "Subtract 14x from both sides: -45x + 71362 = 75142", "Subtract 71362 from both sides: -45x = 3780", "Divide both sides by -45: x = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31(x - 2302) = 14x + 75142", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 2302, \"c\": 14, \"e\": 75142, \"x\": -84}", "seed": "17659339772042334129", "semantic_fingerprint": "sha256:d1fa0e57951d53ce5d1eeecbd78bbada9d4772973a14c17317525ca235e4187a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003637", "prompt": "Solve the equation 19(x + 10658) = -23x for x.", "solution_steps": ["Expand: 19x + 202502 = -23x", "Add 23x to both sides: 42x + 202502 = 0", "Subtract 202502 from both sides: 42x = -202502", "Divide both sides by 42: x = -101251/21"], "final_answer": "-101251/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 10658) = -23x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 10658, \"c\": -23}", "seed": "5511418537585519946", "semantic_fingerprint": "sha256:68622312d793c12a90d0b5d90847b86fc5fd30d0191d668548f3200fdd51a655", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003638", "prompt": "Compute: 4956 * 2310 * (-2859)", "solution_steps": ["Multiply: 4956 * 2310 = 11448360", "Multiply: 11448360 * (-2859) = -32730861240"], "final_answer": "-32730861240", "answer_type": "integer", "kind": "expression", "math_text": "4956 * 2310 * (-2859)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4956, \"b\": 2310, \"c\": -2859}", "seed": "3811977907298447453", "semantic_fingerprint": "sha256:1b5ee44840141d5e89bb9c68ab7811b62a1ade54293eaea8430c72fd9a34001d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003639", "prompt": "Compute: 3818 - 1121 + 53646", "solution_steps": ["Subtract: 3818 - 1121 = 2697", "Add: 2697 + 53646 = 56343"], "final_answer": "56343", "answer_type": "integer", "kind": "expression", "math_text": "3818 - 1121 + 53646", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3818, \"b\": 1121, \"c\": 53646}", "seed": "11748779107836645978", "semantic_fingerprint": "sha256:57aff1ab78778045be1b8cb13118a2330c74d5bcc6143d98779fa23f6c3c79e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003640", "prompt": "Evaluate: 6544 / 16332", "solution_steps": ["Divide: 6544 / 16332 = 1636/4083"], "final_answer": "1636/4083", "answer_type": "rational", "kind": "expression", "math_text": "6544 / 16332", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6544, \"b\": 16332}", "seed": "10085577919192411205", "semantic_fingerprint": "sha256:b870bf7f5b6ad1c6d3cc30d5ca469b379997e121bc5572653573fe6325324396", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003641", "prompt": "What value of x satisfies 15(x - 4935) = 38(x + 9447) + 79822?", "solution_steps": ["Expand: 15x - 74025 = 38(x + 9447) + 79822", "Expand: 15x - 74025 = 38x + 358986 + 79822", "Combine constants: 15x - 74025 = 38x + 438808", "Subtract 38x from both sides: -23x - 74025 = 438808", "Add 74025 to both sides: -23x = 512833", "Divide both sides by -23: x = -512833/23"], "final_answer": "-512833/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 4935) = 38(x + 9447) + 79822", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4935, \"c\": 38, \"d\": 9447, \"e\": 79822}", "seed": "4584048647420319283", "semantic_fingerprint": "sha256:797bfbe315b40ecae31c21837bea61eb5300e3ba65fa1cebc167db7a4e277c68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003642", "prompt": "Evaluate: -4362 + (-59220) - (-2528) - (-3487 + (-2226)) - (-15742)", "solution_steps": ["Add: -4362 + (-59220) = -63582", "Subtract: -63582 - (-2528) = -61054", "Add: -3487 + (-2226) = -5713", "Subtract: -61054 - (-5713) = -55341", "Subtract: -55341 - (-15742) = -39599"], "final_answer": "-39599", "answer_type": "integer", "kind": "expression", "math_text": "-4362 + (-59220) - (-2528) - (-3487 + (-2226)) - (-15742)", "variable": null, "family": "expression_5op", "shape": "(- (- (- (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4362, \"b\": -59220, \"c\": -2528, \"d\": -3487, \"e\": -2226, \"f\": -15742}", "seed": "11223291308849967240", "semantic_fingerprint": "sha256:ba13def45a4371e79b5e8785f974e2538f682af40117301f45dca8d8e508768f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003643", "prompt": "Find x: 25(x + 2732) + 4050 = 21(x + 8150) + 7160", "solution_steps": ["Expand: 25x + 68300 + 4050 = 21(x + 8150) + 7160", "Expand: 25x + 68300 + 4050 = 21x + 171150 + 7160", "Combine constants: 25x + 72350 = 21x + 171150 + 7160", "Combine constants: 25x + 72350 = 21x + 178310", "Subtract 21x from both sides: 4x + 72350 = 178310", "Subtract 72350 from both sides: 4x = 105960", "Divide both sides by 4: x = 26490"], "final_answer": "26490", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x + 2732) + 4050 = 21(x + 8150) + 7160", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2732, \"c\": 4050, \"d\": 21, \"e\": 8150, \"f\": 7160}", "seed": "12264764580793573941", "semantic_fingerprint": "sha256:c01c123dcd2e23c83efb83766dea138317ffbe9776061612d56a2b963c6ff5c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003644", "prompt": "Compute: -9303 - 43746 - (-3217) * (-8377)", "solution_steps": ["Subtract: -9303 - 43746 = -53049", "Multiply: -3217 * (-8377) = 26948809", "Subtract: -53049 - 26948809 = -27001858"], "final_answer": "-27001858", "answer_type": "integer", "kind": "expression", "math_text": "-9303 - 43746 - (-3217) * (-8377)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9303, \"b\": 43746, \"c\": -3217, \"d\": -8377}", "seed": "2909445905973711795", "semantic_fingerprint": "sha256:af59f8ee1f77ab0b14cf65f2535ac543ef7455483c82807788155c8acbf23c65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003645", "prompt": "Find x: -13(x - 5364) = 69212", "solution_steps": ["Expand: -13x + 69732 = 69212", "Subtract 69732 from both sides: -13x = -520", "Divide both sides by -13: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x - 5364) = 69212", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 5364, \"d\": 69212, \"x\": 40}", "seed": "12394311465132050756", "semantic_fingerprint": "sha256:53ca87fc44fc28a7c1c8a756e884286341d15a6f615f447fba7436075f81c2b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003646", "prompt": "Evaluate: 2903 - 2833 / (-6825)", "solution_steps": ["Divide: 2833 / (-6825) = -2833/6825", "Subtract: 2903 - (-2833/6825) = 19815808/6825"], "final_answer": "19815808/6825", "answer_type": "rational", "kind": "expression", "math_text": "2903 - 2833 / (-6825)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2903, \"b\": 2833, \"c\": -6825}", "seed": "12111085650916662986", "semantic_fingerprint": "sha256:9eca6676432dbca6a9ff549083b9ffcd8e4bed19da322fed8e30d5d3bfb8eee5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003647", "prompt": "Compute: -3206 * (-16779) + (-3565 + 6510)", "solution_steps": ["Multiply: -3206 * (-16779) = 53793474", "Add: -3565 + 6510 = 2945", "Add: 53793474 + 2945 = 53796419"], "final_answer": "53796419", "answer_type": "integer", "kind": "expression", "math_text": "-3206 * (-16779) + (-3565 + 6510)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3206, \"b\": -16779, \"c\": -3565, \"d\": 6510}", "seed": "1978125775687404387", "semantic_fingerprint": "sha256:0a09a880f9c90e115cfb86211f7e44cdd018788b0f2876b992b70ec144fe190d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003648", "prompt": "Find x: 40(x - 6067) = -32(x + 4118)", "solution_steps": ["Expand: 40x - 242680 = -32(x + 4118)", "Expand: 40x - 242680 = -32x - 131776", "Add 32x to both sides: 72x - 242680 = -131776", "Add 242680 to both sides: 72x = 110904", "Divide both sides by 72: x = 4621/3"], "final_answer": "4621/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 6067) = -32(x + 4118)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 6067, \"c\": -32, \"d\": 4118}", "seed": "6388769149249126777", "semantic_fingerprint": "sha256:2ade266131bffba333a86476a50c04e1095686f45ceb22a3989ba052e187b0da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003649", "prompt": "Calculate: -19008 * 7981", "solution_steps": ["Multiply: -19008 * 7981 = -151702848"], "final_answer": "-151702848", "answer_type": "integer", "kind": "expression", "math_text": "-19008 * 7981", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -19008, \"b\": 7981}", "seed": "2037694582258619052", "semantic_fingerprint": "sha256:df0bce736ccfb802d0bdd4d779516d1ae4c7554445e70f5fb37b7fcfb9c5ee19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003650", "prompt": "Solve the equation 22(x + 3266) - 4577 = 36(x + 4488) + 93496 for x.", "solution_steps": ["Expand: 22x + 71852 - 4577 = 36(x + 4488) + 93496", "Expand: 22x + 71852 - 4577 = 36x + 161568 + 93496", "Combine constants: 22x + 67275 = 36x + 161568 + 93496", "Combine constants: 22x + 67275 = 36x + 255064", "Subtract 36x from both sides: -14x + 67275 = 255064", "Subtract 67275 from both sides: -14x = 187789", "Divide both sides by -14: x = -26827/2"], "final_answer": "-26827/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 3266) - 4577 = 36(x + 4488) + 93496", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 3266, \"c\": 4577, \"d\": 36, \"e\": 4488, \"f\": 93496}", "seed": "14792444424362183910", "semantic_fingerprint": "sha256:8f08fcacc4fc6aad18adada0078e7a00f0ee83d2723f0f7053d5affd4fef19e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003651", "prompt": "Solve the equation 26x = -13(x - 7374) - 93483 for x.", "solution_steps": ["Expand: 26x = -13x + 95862 - 93483", "Combine constants: 26x = -13x + 2379", "Add 13x to both sides: 39x = 2379", "Divide both sides by 39: x = 61"], "final_answer": "61", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x = -13(x - 7374) - 93483", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": -13, \"c\": 7374, \"e\": -93483, \"x\": 61}", "seed": "4780763456538257094", "semantic_fingerprint": "sha256:2931ce3074f2fec945883882a673f1f5cda84a9de1c927da190939ff2b739a1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003652", "prompt": "Calculate: 6525 - (41984 - (-4355) / 5732) - (-6361) * (-7452)", "solution_steps": ["Divide: -4355 / 5732 = -4355/5732", "Subtract: 41984 - (-4355/5732) = 240656643/5732", "Subtract: 6525 - 240656643/5732 = -203255343/5732", "Multiply: -6361 * (-7452) = 47402172", "Subtract: -203255343/5732 - 47402172 = -271912505247/5732"], "final_answer": "-271912505247/5732", "answer_type": "rational", "kind": "expression", "math_text": "6525 - (41984 - (-4355) / 5732) - (-6361) * (-7452)", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n (/ n n))) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6525, \"b\": 41984, \"c\": -4355, \"d\": 5732, \"e\": -6361, \"f\": -7452}", "seed": "9541603871810543354", "semantic_fingerprint": "sha256:49d479ac30bf1e3dc545efa8ddb47f27bd3fd0a0b04bc0b4fd5a7eef232e6174", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003653", "prompt": "Evaluate: 5043 / ((8322 - (-13920)) / (-8815))", "solution_steps": ["Subtract: 8322 - (-13920) = 22242", "Divide: 22242 / (-8815) = -22242/8815", "Divide: 5043 / (-22242/8815) = -14818015/7414"], "final_answer": "-14818015/7414", "answer_type": "rational", "kind": "expression", "math_text": "5043 / ((8322 - (-13920)) / (-8815))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5043, \"b\": 8322, \"c\": -13920, \"d\": -8815}", "seed": "5649343522905009600", "semantic_fingerprint": "sha256:f20c3bcb95c264dd1177f2e262bc87c4ba230b0e3baf80a40f65e2c5fde791b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003654", "prompt": "What value of x satisfies 35x + 1522 = -38(x + 7403) - 83415?", "solution_steps": ["Expand: 35x + 1522 = -38x - 281314 - 83415", "Combine constants: 35x + 1522 = -38x - 364729", "Add 38x to both sides: 73x + 1522 = -364729", "Subtract 1522 from both sides: 73x = -366251", "Divide both sides by 73: x = -366251/73"], "final_answer": "-366251/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x + 1522 = -38(x + 7403) - 83415", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 1522, \"c\": -38, \"d\": 7403, \"e\": 83415}", "seed": "769642368874480959", "semantic_fingerprint": "sha256:5d80bdaa79a3e5bf4b69053495213e3ea5dc8d35130ee52de86638aedfd95554", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003655", "prompt": "Solve for x: 33x - 1344 = x", "solution_steps": ["Subtract x from both sides: 32x - 1344 = 0", "Add 1344 to both sides: 32x = 1344", "Divide both sides by 32: x = 42"], "final_answer": "42", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x - 1344 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": -1344, \"x\": 42}", "seed": "1465416832103879625", "semantic_fingerprint": "sha256:b5a2e5d0ff45132348223c3dcd72a3b03da914abe575d9e4009ce8515ed96080", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003656", "prompt": "What value of x satisfies 21(x + 1969) = x?", "solution_steps": ["Expand: 21x + 41349 = x", "Subtract x from both sides: 20x + 41349 = 0", "Subtract 41349 from both sides: 20x = -41349", "Divide both sides by 20: x = -41349/20"], "final_answer": "-41349/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 1969) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 1969}", "seed": "12006234964589797566", "semantic_fingerprint": "sha256:67c35af78ea3fc398a4d24abc6daa1811cf2e6a88dbc0bba811eada3c42afd8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003657", "prompt": "Evaluate: (-62690 + (-78635) - (-67032)) * (-3643)", "solution_steps": ["Add: -62690 + (-78635) = -141325", "Subtract: -141325 - (-67032) = -74293", "Multiply: -74293 * (-3643) = 270649399"], "final_answer": "270649399", "answer_type": "integer", "kind": "expression", "math_text": "(-62690 + (-78635) - (-67032)) * (-3643)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62690, \"b\": -78635, \"c\": -67032, \"d\": -3643}", "seed": "747149436127446390", "semantic_fingerprint": "sha256:d31bbebc0074ddf1cc3a0df034aea9c15076942eb8ca68c6595a8b9f572565fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003658", "prompt": "Compute: 5224 * (7567 + (-2573 - (-5734)))", "solution_steps": ["Subtract: -2573 - (-5734) = 3161", "Add: 7567 + 3161 = 10728", "Multiply: 5224 * 10728 = 56043072"], "final_answer": "56043072", "answer_type": "integer", "kind": "expression", "math_text": "5224 * (7567 + (-2573 - (-5734)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5224, \"b\": 7567, \"c\": -2573, \"d\": -5734}", "seed": "5199716075908313622", "semantic_fingerprint": "sha256:4d69d2ec2950a26df88f938e8e360a744e319c28624d4a8cd6f036423db7fcff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003659", "prompt": "Compute: 89435 * 58415", "solution_steps": ["Multiply: 89435 * 58415 = 5224345525"], "final_answer": "5224345525", "answer_type": "integer", "kind": "expression", "math_text": "89435 * 58415", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 89435, \"b\": 58415}", "seed": "2176871150468829814", "semantic_fingerprint": "sha256:ae02c74b15aac543de02390480f0e7afe5bc3120ecddc602fe4f6abbc1dc9512", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003660", "prompt": "Evaluate: -67772 / (-5893 / 53378)", "solution_steps": ["Divide: -5893 / 53378 = -5893/53378", "Divide: -67772 / (-5893/53378) = 3617533816/5893"], "final_answer": "3617533816/5893", "answer_type": "rational", "kind": "expression", "math_text": "-67772 / (-5893 / 53378)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67772, \"b\": -5893, \"c\": 53378}", "seed": "6049134476727301676", "semantic_fingerprint": "sha256:1e41741da44b9f11217713d1a3f4a9c73061d49f036d4360dbebdbadb17523e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003661", "prompt": "Evaluate: -9411 * 4760", "solution_steps": ["Multiply: -9411 * 4760 = -44796360"], "final_answer": "-44796360", "answer_type": "integer", "kind": "expression", "math_text": "-9411 * 4760", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9411, \"b\": 4760}", "seed": "1181886498080570193", "semantic_fingerprint": "sha256:156263311f57232b968a98ea638009375b68da2efbc98a8901fbb2a165075f7a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003662", "prompt": "What is -8067 / (-8979) + 57875 - (-1479)?", "solution_steps": ["Divide: -8067 / (-8979) = 2689/2993", "Add: 2689/2993 + 57875 = 173222564/2993", "Subtract: 173222564/2993 - (-1479) = 177649211/2993"], "final_answer": "177649211/2993", "answer_type": "rational", "kind": "expression", "math_text": "-8067 / (-8979) + 57875 - (-1479)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8067, \"b\": -8979, \"c\": 57875, \"d\": -1479}", "seed": "17757043001870280616", "semantic_fingerprint": "sha256:51e5100dedeb68f2f5994b1f8a9fffb6b7ddc87fc7cef1dc95f729eeb5be7162", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003663", "prompt": "Evaluate: 7552 + (3084 + 69300)", "solution_steps": ["Add: 3084 + 69300 = 72384", "Add: 7552 + 72384 = 79936"], "final_answer": "79936", "answer_type": "integer", "kind": "expression", "math_text": "7552 + (3084 + 69300)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7552, \"b\": 3084, \"c\": 69300}", "seed": "2889081651332397320", "semantic_fingerprint": "sha256:5b0382abee36ccffe702a85ff5125bdd097d4aa53dd43d95837ec52c93754215", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003664", "prompt": "Compute: 6309 - (-1765 - (-3698))", "solution_steps": ["Subtract: -1765 - (-3698) = 1933", "Subtract: 6309 - 1933 = 4376"], "final_answer": "4376", "answer_type": "integer", "kind": "expression", "math_text": "6309 - (-1765 - (-3698))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6309, \"b\": -1765, \"c\": -3698}", "seed": "6125251954487315296", "semantic_fingerprint": "sha256:b6bb0f4c2cc687d8bf5618dcb4141328aecb1ecbc97a5b0c301577bbcf68a559", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003665", "prompt": "Evaluate: -77700 - 1216 / 21803", "solution_steps": ["Divide: 1216 / 21803 = 1216/21803", "Subtract: -77700 - 1216/21803 = -1694094316/21803"], "final_answer": "-1694094316/21803", "answer_type": "rational", "kind": "expression", "math_text": "-77700 - 1216 / 21803", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -77700, \"b\": 1216, \"c\": 21803}", "seed": "9380018417677294861", "semantic_fingerprint": "sha256:dabf0af9e597c3a806eed25c3dd1529aec0268c137ba08d505f6d88bbe2f3e68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003666", "prompt": "Solve the equation -17x + 23202 = -40(x + 14232) for x.", "solution_steps": ["Expand: -17x + 23202 = -40x - 569280", "Add 40x to both sides: 23x + 23202 = -569280", "Subtract 23202 from both sides: 23x = -592482", "Divide both sides by 23: x = -592482/23"], "final_answer": "-592482/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x + 23202 = -40(x + 14232)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 23202, \"c\": -40, \"d\": 14232}", "seed": "8534585116247189853", "semantic_fingerprint": "sha256:ef1c4a6096f862f3531b9a5af31e0abd43ba3024afe4d5c06f9accd0df72664f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003667", "prompt": "Find x: 19x + 95551 = 32x + 94082", "solution_steps": ["Subtract 32x from both sides: -13x + 95551 = 94082", "Subtract 95551 from both sides: -13x = -1469", "Divide both sides by -13: x = 113"], "final_answer": "113", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 95551 = 32x + 94082", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 95551, \"c\": 32, \"e\": 94082, \"x\": 113}", "seed": "3837839982156979562", "semantic_fingerprint": "sha256:2a8ce76591f14e802df2ab6dd87a603931b246a679d14c42bfb69222e78582f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003668", "prompt": "What is (9110 + 35249) * (-8522 / (-50512)) - 6266?", "solution_steps": ["Add: 9110 + 35249 = 44359", "Divide: -8522 / (-50512) = 4261/25256", "Multiply: 44359 * (4261/25256) = 27001957/3608", "Subtract: 27001957/3608 - 6266 = 4394229/3608"], "final_answer": "4394229/3608", "answer_type": "rational", "kind": "expression", "math_text": "(9110 + 35249) * (-8522 / (-50512)) - 6266", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9110, \"b\": 35249, \"c\": -8522, \"d\": -50512, \"e\": 6266}", "seed": "12607799994677697105", "semantic_fingerprint": "sha256:371f1a409ef5d9b9b1f7ea69f0c718d955ec6f3a22812fdb4c4a716a7bf00103", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003669", "prompt": "What is -17712 - (-62193 - 9746)?", "solution_steps": ["Subtract: -62193 - 9746 = -71939", "Subtract: -17712 - (-71939) = 54227"], "final_answer": "54227", "answer_type": "integer", "kind": "expression", "math_text": "-17712 - (-62193 - 9746)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17712, \"b\": -62193, \"c\": 9746}", "seed": "9267771268105992739", "semantic_fingerprint": "sha256:46cd2428eef846d686ffd674694c57841a0b932134d175ae66be6a017b7dcec5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003670", "prompt": "Compute: 4212 - (-4019 - (-9882)) - (-5050)", "solution_steps": ["Subtract: -4019 - (-9882) = 5863", "Subtract: 4212 - 5863 = -1651", "Subtract: -1651 - (-5050) = 3399"], "final_answer": "3399", "answer_type": "integer", "kind": "expression", "math_text": "4212 - (-4019 - (-9882)) - (-5050)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4212, \"b\": -4019, \"c\": -9882, \"d\": -5050}", "seed": "9833288401335059984", "semantic_fingerprint": "sha256:845ee35dda988078c50d93a27f447386e233f7f30ec93b40bdf6b46e8c0f9b71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003671", "prompt": "What is -60184 + 2018?", "solution_steps": ["Add: -60184 + 2018 = -58166"], "final_answer": "-58166", "answer_type": "integer", "kind": "expression", "math_text": "-60184 + 2018", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -60184, \"b\": 2018}", "seed": "16013179989038670776", "semantic_fingerprint": "sha256:a7ef2aa91236970bad5d47abb05075a42415e4334c13bf21a04583cc3484a172", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003672", "prompt": "What is -5809 - (-71676) * 73994?", "solution_steps": ["Multiply: -71676 * 73994 = -5303593944", "Subtract: -5809 - (-5303593944) = 5303588135"], "final_answer": "5303588135", "answer_type": "integer", "kind": "expression", "math_text": "-5809 - (-71676) * 73994", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5809, \"b\": -71676, \"c\": 73994}", "seed": "2354492089633627040", "semantic_fingerprint": "sha256:5bbd19d5e5adcb491a95dcc899e8654d13ad6548f2226e9f6401879fffe519cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003673", "prompt": "Compute: 5848 + (-8659 + (-3758)) * (-70614)", "solution_steps": ["Add: -8659 + (-3758) = -12417", "Multiply: -12417 * (-70614) = 876814038", "Add: 5848 + 876814038 = 876819886"], "final_answer": "876819886", "answer_type": "integer", "kind": "expression", "math_text": "5848 + (-8659 + (-3758)) * (-70614)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5848, \"b\": -8659, \"c\": -3758, \"d\": -70614}", "seed": "3411777666774363431", "semantic_fingerprint": "sha256:6285e0d6fa8732319184c574efea2342ad564228ffb3f18b295dd21860b06af4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003674", "prompt": "What value of x satisfies x + 8515 = -20(x - 7910)?", "solution_steps": ["Expand: x + 8515 = -20x + 158200", "Add 20x to both sides: 21x + 8515 = 158200", "Subtract 8515 from both sides: 21x = 149685", "Divide both sides by 21: x = 49895/7"], "final_answer": "49895/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8515 = -20(x - 7910)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8515, \"b\": -20, \"c\": 7910}", "seed": "6053328102399212981", "semantic_fingerprint": "sha256:3d1eb81b8b0d8d14a0ca41deec37ef990cabe53fc686d503d01da3e768e8d1b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003675", "prompt": "Solve the equation -14(x - 5439) = -30(x + 59693) for x.", "solution_steps": ["Expand: -14x + 76146 = -30(x + 59693)", "Expand: -14x + 76146 = -30x - 1790790", "Add 30x to both sides: 16x + 76146 = -1790790", "Subtract 76146 from both sides: 16x = -1866936", "Divide both sides by 16: x = -233367/2"], "final_answer": "-233367/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x - 5439) = -30(x + 59693)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 5439, \"c\": -30, \"d\": 59693}", "seed": "2083521142003733642", "semantic_fingerprint": "sha256:e063a004fb118261a064d6668497dce780e5df0bb34574e4163a00af62a2668c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003676", "prompt": "Compute: -47881 - (-8334)", "solution_steps": ["Subtract: -47881 - (-8334) = -39547"], "final_answer": "-39547", "answer_type": "integer", "kind": "expression", "math_text": "-47881 - (-8334)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -47881, \"b\": -8334}", "seed": "8744485707195053636", "semantic_fingerprint": "sha256:579c2745f34cb106c83de0de60f0d701ee840da046f63ace80b5faa423308f66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003677", "prompt": "Compute: -4047 + (1158 + (-6735)) + (-16306) + (-6747)", "solution_steps": ["Add: 1158 + (-6735) = -5577", "Add: -4047 + (-5577) = -9624", "Add: -9624 + (-16306) = -25930", "Add: -25930 + (-6747) = -32677"], "final_answer": "-32677", "answer_type": "integer", "kind": "expression", "math_text": "-4047 + (1158 + (-6735)) + (-16306) + (-6747)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4047, \"b\": 1158, \"c\": -6735, \"d\": -16306, \"e\": -6747}", "seed": "3446138577132798792", "semantic_fingerprint": "sha256:1a212afed827fe15341426ddac07c83fb092880b9396b9767d3c54e6bbf6c561", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003678", "prompt": "Calculate: 9044 + 9886 - (-77609)", "solution_steps": ["Add: 9044 + 9886 = 18930", "Subtract: 18930 - (-77609) = 96539"], "final_answer": "96539", "answer_type": "integer", "kind": "expression", "math_text": "9044 + 9886 - (-77609)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9044, \"b\": 9886, \"c\": -77609}", "seed": "13255942145518409870", "semantic_fingerprint": "sha256:0c5d32e3036025a129132f52363b8943fed22f8c7bf41e264a248086d076880e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003679", "prompt": "Evaluate: -9710 - (-24587) / 8165", "solution_steps": ["Divide: -24587 / 8165 = -1069/355", "Subtract: -9710 - (-1069/355) = -3445981/355"], "final_answer": "-3445981/355", "answer_type": "rational", "kind": "expression", "math_text": "-9710 - (-24587) / 8165", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9710, \"b\": -24587, \"c\": 8165}", "seed": "5952191219076298089", "semantic_fingerprint": "sha256:c9304d0673f47bc9d5de792a4566260f2478bcc9c962963dbccb811f58e1ce7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003680", "prompt": "Compute: -2323 - (4876 - 6675) - (-6647)", "solution_steps": ["Subtract: 4876 - 6675 = -1799", "Subtract: -2323 - (-1799) = -524", "Subtract: -524 - (-6647) = 6123"], "final_answer": "6123", "answer_type": "integer", "kind": "expression", "math_text": "-2323 - (4876 - 6675) - (-6647)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2323, \"b\": 4876, \"c\": 6675, \"d\": -6647}", "seed": "12170070540623762462", "semantic_fingerprint": "sha256:596c256dcbe6fd757233de25269402adb7aa7550b0bcb56b030f94c9b4e55273", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003681", "prompt": "Evaluate: 36932 + (-4477) - 51595 + (-93991) * 5909", "solution_steps": ["Add: 36932 + (-4477) = 32455", "Subtract: 32455 - 51595 = -19140", "Multiply: -93991 * 5909 = -555392819", "Add: -19140 + (-555392819) = -555411959"], "final_answer": "-555411959", "answer_type": "integer", "kind": "expression", "math_text": "36932 + (-4477) - 51595 + (-93991) * 5909", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36932, \"b\": -4477, \"c\": 51595, \"d\": -93991, \"e\": 5909}", "seed": "11829324159915857966", "semantic_fingerprint": "sha256:8356e536e82cff6d88a272ea2134ce35fe9f70a612dd9664f4c16e4391b83f1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003682", "prompt": "What is -97405 * (7780 - (1398 - (-8541)))?", "solution_steps": ["Subtract: 1398 - (-8541) = 9939", "Subtract: 7780 - 9939 = -2159", "Multiply: -97405 * (-2159) = 210297395"], "final_answer": "210297395", "answer_type": "integer", "kind": "expression", "math_text": "-97405 * (7780 - (1398 - (-8541)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -97405, \"b\": 7780, \"c\": 1398, \"d\": -8541}", "seed": "326222685767244869", "semantic_fingerprint": "sha256:e29123cb669c86670426b1768d215d76a20b27346f0c1470197791ff61388045", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003683", "prompt": "What is (-1535 - 6491) / (-3244)?", "solution_steps": ["Subtract: -1535 - 6491 = -8026", "Divide: -8026 / (-3244) = 4013/1622"], "final_answer": "4013/1622", "answer_type": "rational", "kind": "expression", "math_text": "(-1535 - 6491) / (-3244)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1535, \"b\": 6491, \"c\": -3244}", "seed": "1967410737024953714", "semantic_fingerprint": "sha256:665b054ecc83b4aec53a0fe853847b99c1159f6ecdc8db68f889bfba96e26a6a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003684", "prompt": "What value of x satisfies 13(x - 7155) = -95251?", "solution_steps": ["Expand: 13x - 93015 = -95251", "Add 93015 to both sides: 13x = -2236", "Divide both sides by 13: x = -172"], "final_answer": "-172", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x - 7155) = -95251", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7155, \"d\": -95251, \"x\": -172}", "seed": "6221965185873194555", "semantic_fingerprint": "sha256:7f7e8c87a3dfc01b684b89d460f818b16d8dfb1306edd2d8a7d8f29fd3af69ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003685", "prompt": "Calculate: 2348 / 6298", "solution_steps": ["Divide: 2348 / 6298 = 1174/3149"], "final_answer": "1174/3149", "answer_type": "rational", "kind": "expression", "math_text": "2348 / 6298", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2348, \"b\": 6298}", "seed": "15054460439705398411", "semantic_fingerprint": "sha256:3212d900e07cf3848a9bf4c1deb88998b04d852ab6187d7a5961128ecce1fad8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003686", "prompt": "Find x: 18(x + 29804) = 31(x - 71529) - 22543", "solution_steps": ["Expand: 18x + 536472 = 31(x - 71529) - 22543", "Expand: 18x + 536472 = 31x - 2217399 - 22543", "Combine constants: 18x + 536472 = 31x - 2239942", "Subtract 31x from both sides: -13x + 536472 = -2239942", "Subtract 536472 from both sides: -13x = -2776414", "Divide both sides by -13: x = 2776414/13"], "final_answer": "2776414/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 29804) = 31(x - 71529) - 22543", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 29804, \"c\": 31, \"d\": 71529, \"e\": 22543}", "seed": "17523464247271193922", "semantic_fingerprint": "sha256:9a14dec3e430d540fb28411e4dfa8b7a88ec7a54b2e7243d97ac7c1f19a1dcbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003687", "prompt": "Calculate: -9433 - 4319 * (-2437)", "solution_steps": ["Multiply: 4319 * (-2437) = -10525403", "Subtract: -9433 - (-10525403) = 10515970"], "final_answer": "10515970", "answer_type": "integer", "kind": "expression", "math_text": "-9433 - 4319 * (-2437)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9433, \"b\": 4319, \"c\": -2437}", "seed": "16157325135091230030", "semantic_fingerprint": "sha256:9c6edac5eec4262a97cc225ff10bfe5bf8b646f43fcd42b423ba692a03c8bcbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003688", "prompt": "What value of x satisfies -21(x + 56465) = 80784?", "solution_steps": ["Expand: -21x - 1185765 = 80784", "Add 1185765 to both sides: -21x = 1266549", "Divide both sides by -21: x = -422183/7"], "final_answer": "-422183/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x + 56465) = 80784", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 56465, \"c\": 80784}", "seed": "7191510516114026875", "semantic_fingerprint": "sha256:3e349403f9919e00c427b6239114439f58a5171c7a2f73e896667c6763924f18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003689", "prompt": "Solve for x: x + 8095 = 19x + 7645", "solution_steps": ["Subtract 19x from both sides: -18x + 8095 = 7645", "Subtract 8095 from both sides: -18x = -450", "Divide both sides by -18: x = 25"], "final_answer": "25", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8095 = 19x + 7645", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8095, \"b\": 19, \"d\": 7645, \"x\": 25}", "seed": "2481995409898638947", "semantic_fingerprint": "sha256:90a6a395f30985ebf05412835a6da19e34b028e3277a54b21d31b155cadfcb5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003690", "prompt": "What is -3695 * (-86157) / (-92264)?", "solution_steps": ["Multiply: -3695 * (-86157) = 318350115", "Divide: 318350115 / (-92264) = -318350115/92264"], "final_answer": "-318350115/92264", "answer_type": "rational", "kind": "expression", "math_text": "-3695 * (-86157) / (-92264)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3695, \"b\": -86157, \"c\": -92264}", "seed": "16243609101380940253", "semantic_fingerprint": "sha256:dcfa7068d247fc31d1eeb1bffe4fa72ef91a4fb9fe19d6b41872f8e45d9cc80b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003691", "prompt": "Evaluate: -65468 + 2719 + (-47555) * 6298", "solution_steps": ["Add: -65468 + 2719 = -62749", "Multiply: -47555 * 6298 = -299501390", "Add: -62749 + (-299501390) = -299564139"], "final_answer": "-299564139", "answer_type": "integer", "kind": "expression", "math_text": "-65468 + 2719 + (-47555) * 6298", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -65468, \"b\": 2719, \"c\": -47555, \"d\": 6298}", "seed": "14569563634383626476", "semantic_fingerprint": "sha256:835fa15efad8b77a95efb9c81d754a955228a776c48e6e0ad3b17e7da7ec6203", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003692", "prompt": "Calculate: -3669 / 67912 - 6687", "solution_steps": ["Divide: -3669 / 67912 = -3669/67912", "Subtract: -3669/67912 - 6687 = -454131213/67912"], "final_answer": "-454131213/67912", "answer_type": "rational", "kind": "expression", "math_text": "-3669 / 67912 - 6687", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3669, \"b\": 67912, \"c\": 6687}", "seed": "11240112683678414262", "semantic_fingerprint": "sha256:c62ef4bc17cec6fb9e900af8d505bdc4f56513d586b7705d990ca676c5f3601b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003693", "prompt": "Compute: (77143 / (-9064) - 6369) * 50529 + 8573", "solution_steps": ["Divide: 77143 / (-9064) = -7013/824", "Subtract: -7013/824 - 6369 = -5255069/824", "Multiply: (-5255069/824) * 50529 = -265533381501/824", "Add: -265533381501/824 + 8573 = -265526317349/824"], "final_answer": "-265526317349/824", "answer_type": "rational", "kind": "expression", "math_text": "(77143 / (-9064) - 6369) * 50529 + 8573", "variable": null, "family": "expression_4op", "shape": "(+ (* (- (/ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 77143, \"b\": -9064, \"c\": 6369, \"d\": 50529, \"e\": 8573}", "seed": "2157682955023714718", "semantic_fingerprint": "sha256:72d0ae769a2a276c2a059684ad3977c612574a1d31390c3e60aa3e45b29a1821", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003694", "prompt": "What is 2680 * (-5069) / 6295?", "solution_steps": ["Multiply: 2680 * (-5069) = -13584920", "Divide: -13584920 / 6295 = -2716984/1259"], "final_answer": "-2716984/1259", "answer_type": "rational", "kind": "expression", "math_text": "2680 * (-5069) / 6295", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2680, \"b\": -5069, \"c\": 6295}", "seed": "16018365168482415150", "semantic_fingerprint": "sha256:7f8b417cb35f73540e19f6ccc549b71526d5abaf7d01a9de288795674e5be398", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003695", "prompt": "Solve the equation x = -37(x - 4406) for x.", "solution_steps": ["Expand: x = -37x + 163022", "Add 37x to both sides: 38x = 163022", "Divide both sides by 38: x = 81511/19"], "final_answer": "81511/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -37(x - 4406)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 4406}", "seed": "11461145411318433684", "semantic_fingerprint": "sha256:67208e4a8d3d91f615aeb0969aca128e07142d4f582cd85aea419f65769cd35b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003696", "prompt": "Solve for x: -33x + 87014 = -22x + 88961", "solution_steps": ["Add 22x to both sides: -11x + 87014 = 88961", "Subtract 87014 from both sides: -11x = 1947", "Divide both sides by -11: x = -177"], "final_answer": "-177", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33x + 87014 = -22x + 88961", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 87014, \"c\": -22, \"e\": 88961, \"x\": -177}", "seed": "16749923254197936026", "semantic_fingerprint": "sha256:b1314c738bf378ab6c1afb631129e05b8bc922f1b8f86a747c57d2b698ce9591", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003697", "prompt": "Compute: 76691 + 7598 + (-8396) * 36589 * 1020", "solution_steps": ["Add: 76691 + 7598 = 84289", "Multiply: -8396 * 36589 = -307201244", "Multiply: -307201244 * 1020 = -313345268880", "Add: 84289 + (-313345268880) = -313345184591"], "final_answer": "-313345184591", "answer_type": "integer", "kind": "expression", "math_text": "76691 + 7598 + (-8396) * 36589 * 1020", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 76691, \"b\": 7598, \"c\": -8396, \"d\": 36589, \"e\": 1020}", "seed": "6060778239000582879", "semantic_fingerprint": "sha256:b429db95996b7af594c0888ee74f9012a55af826ded55e6ddef2e0f0041cd2eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003698", "prompt": "Evaluate: -5344 / (-9155) - 3384 + (-5587)", "solution_steps": ["Divide: -5344 / (-9155) = 5344/9155", "Subtract: 5344/9155 - 3384 = -30975176/9155", "Add: -30975176/9155 + (-5587) = -82124161/9155"], "final_answer": "-82124161/9155", "answer_type": "rational", "kind": "expression", "math_text": "-5344 / (-9155) - 3384 + (-5587)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5344, \"b\": -9155, \"c\": 3384, \"d\": -5587}", "seed": "6189101910816187862", "semantic_fingerprint": "sha256:9a0bac4614ef8d39c858f453f2acc01ac07cdf4cf52cfc3d41beb5e16b286893", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003699", "prompt": "Evaluate: (-8552 - 84775) * 7086 + (-44267) * 89782", "solution_steps": ["Subtract: -8552 - 84775 = -93327", "Multiply: -93327 * 7086 = -661315122", "Multiply: -44267 * 89782 = -3974379794", "Add: -661315122 + (-3974379794) = -4635694916"], "final_answer": "-4635694916", "answer_type": "integer", "kind": "expression", "math_text": "(-8552 - 84775) * 7086 + (-44267) * 89782", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8552, \"b\": 84775, \"c\": 7086, \"d\": -44267, \"e\": 89782}", "seed": "5774517648439588223", "semantic_fingerprint": "sha256:961edd5bf0431c4adf378ba394650df85323a3a4562fbd832b201109bcc05bc1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003700", "prompt": "Calculate: -7859 * (-1364 * (96554 + (-3474)))", "solution_steps": ["Add: 96554 + (-3474) = 93080", "Multiply: -1364 * 93080 = -126961120", "Multiply: -7859 * (-126961120) = 997787442080"], "final_answer": "997787442080", "answer_type": "integer", "kind": "expression", "math_text": "-7859 * (-1364 * (96554 + (-3474)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7859, \"b\": -1364, \"c\": 96554, \"d\": -3474}", "seed": "10551548588518436435", "semantic_fingerprint": "sha256:e5342e19458001234ff8c58db6a31823f229e962d531539b716867c6ffccc420", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003701", "prompt": "What is 73122 + (-85368 + (-69866))?", "solution_steps": ["Add: -85368 + (-69866) = -155234", "Add: 73122 + (-155234) = -82112"], "final_answer": "-82112", "answer_type": "integer", "kind": "expression", "math_text": "73122 + (-85368 + (-69866))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73122, \"b\": -85368, \"c\": -69866}", "seed": "6756201956365670391", "semantic_fingerprint": "sha256:b00e8ca8a9620680aff0051272b4f088ca0ce479f59c1a6c99bbfdcdda387938", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003702", "prompt": "Solve for x: 32(x - 1404) = 13(x + 77771)", "solution_steps": ["Expand: 32x - 44928 = 13(x + 77771)", "Expand: 32x - 44928 = 13x + 1011023", "Subtract 13x from both sides: 19x - 44928 = 1011023", "Add 44928 to both sides: 19x = 1055951", "Divide both sides by 19: x = 1055951/19"], "final_answer": "1055951/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 1404) = 13(x + 77771)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1404, \"c\": 13, \"d\": 77771}", "seed": "2183358124156235228", "semantic_fingerprint": "sha256:21b7fd37e53383f3520767478be4b0277c726ee4dba9affbcb0f5149322b7a5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003703", "prompt": "Evaluate: 70957 - (2022 + 3406 / (-8891))", "solution_steps": ["Divide: 3406 / (-8891) = -3406/8891", "Add: 2022 + (-3406/8891) = 17974196/8891", "Subtract: 70957 - 17974196/8891 = 612904491/8891"], "final_answer": "612904491/8891", "answer_type": "rational", "kind": "expression", "math_text": "70957 - (2022 + 3406 / (-8891))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 70957, \"b\": 2022, \"c\": 3406, \"d\": -8891}", "seed": "7183610300151953419", "semantic_fingerprint": "sha256:55fc889b476bdd6fecac54c31f6ce235f293419389344973309883e1791f1bf9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003704", "prompt": "Calculate: 6470 + (-2651 - (-6202) - 4421)", "solution_steps": ["Subtract: -2651 - (-6202) = 3551", "Subtract: 3551 - 4421 = -870", "Add: 6470 + (-870) = 5600"], "final_answer": "5600", "answer_type": "integer", "kind": "expression", "math_text": "6470 + (-2651 - (-6202) - 4421)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6470, \"b\": -2651, \"c\": -6202, \"d\": 4421}", "seed": "5721188084309393604", "semantic_fingerprint": "sha256:1d89c953862d0c5fac41799fcf3c726e739d6e27b1eb8f8e5aa857a3e347f379", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003705", "prompt": "Compute: 1192 / (81488 - 14300)", "solution_steps": ["Subtract: 81488 - 14300 = 67188", "Divide: 1192 / 67188 = 298/16797"], "final_answer": "298/16797", "answer_type": "rational", "kind": "expression", "math_text": "1192 / (81488 - 14300)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1192, \"b\": 81488, \"c\": 14300}", "seed": "17140626710253282153", "semantic_fingerprint": "sha256:4f8b4c0c28b7f59f68eb8bae1bf7d53379da42feba81f62c6581728a5e5859e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003706", "prompt": "What is -31420 * (-42815 + 4135) - (-7661)?", "solution_steps": ["Add: -42815 + 4135 = -38680", "Multiply: -31420 * (-38680) = 1215325600", "Subtract: 1215325600 - (-7661) = 1215333261"], "final_answer": "1215333261", "answer_type": "integer", "kind": "expression", "math_text": "-31420 * (-42815 + 4135) - (-7661)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31420, \"b\": -42815, \"c\": 4135, \"d\": -7661}", "seed": "7596048557225458224", "semantic_fingerprint": "sha256:75c1445e9ebc15ce70d13788f3fd7a3fc625f31c7dbbe17f00bdac1d88e94441", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003707", "prompt": "Evaluate: 37942 * (-5223 - (-6426)) / (-29091) + (-89415)", "solution_steps": ["Subtract: -5223 - (-6426) = 1203", "Multiply: 37942 * 1203 = 45644226", "Divide: 45644226 / (-29091) = -15214742/9697", "Add: -15214742/9697 + (-89415) = -882271997/9697"], "final_answer": "-882271997/9697", "answer_type": "rational", "kind": "expression", "math_text": "37942 * (-5223 - (-6426)) / (-29091) + (-89415)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37942, \"b\": -5223, \"c\": -6426, \"d\": -29091, \"e\": -89415}", "seed": "13515310651421971031", "semantic_fingerprint": "sha256:f2918d10cae43f5fb6e6a4d2e0be82c740b795ed56921b496321a6b82bb2182a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003708", "prompt": "Evaluate: (1573 - (-8038)) * (-71358)", "solution_steps": ["Subtract: 1573 - (-8038) = 9611", "Multiply: 9611 * (-71358) = -685821738"], "final_answer": "-685821738", "answer_type": "integer", "kind": "expression", "math_text": "(1573 - (-8038)) * (-71358)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1573, \"b\": -8038, \"c\": -71358}", "seed": "3320905983592185382", "semantic_fingerprint": "sha256:341a8a11c411766bde7033cbfbdd263c1ad255e90ff6824466119fbb3ce5ce9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003709", "prompt": "What is -9047 / 71714 - 5338?", "solution_steps": ["Divide: -9047 / 71714 = -9047/71714", "Subtract: -9047/71714 - 5338 = -382818379/71714"], "final_answer": "-382818379/71714", "answer_type": "rational", "kind": "expression", "math_text": "-9047 / 71714 - 5338", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9047, \"b\": 71714, \"c\": 5338}", "seed": "8759291769807966603", "semantic_fingerprint": "sha256:6869c7e24c18bdb665a22be700a2e2630fdda6c2cdd1c7597508f15e498f8401", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003710", "prompt": "Calculate: 2159 * (-77473)", "solution_steps": ["Multiply: 2159 * (-77473) = -167264207"], "final_answer": "-167264207", "answer_type": "integer", "kind": "expression", "math_text": "2159 * (-77473)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2159, \"b\": -77473}", "seed": "3483364725499572516", "semantic_fingerprint": "sha256:aea63e2047fef808081d1ec6cd628c916e36fe4b91269353f5e21af04f45382e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003711", "prompt": "Find x: 37(x + 5907) - 5876 = 26x + 6881", "solution_steps": ["Expand: 37x + 218559 - 5876 = 26x + 6881", "Combine constants: 37x + 212683 = 26x + 6881", "Subtract 26x from both sides: 11x + 212683 = 6881", "Subtract 212683 from both sides: 11x = -205802", "Divide both sides by 11: x = -205802/11"], "final_answer": "-205802/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 5907) - 5876 = 26x + 6881", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 5907, \"c\": 5876, \"d\": 26, \"e\": 6881}", "seed": "16758465113505209548", "semantic_fingerprint": "sha256:f9383dab831e442d9bd942c57c236b75a3eb29865bfe45ac648d2af08b3fc4c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003712", "prompt": "Find x: 34(x - 2731) + 95890 = x", "solution_steps": ["Expand: 34x - 92854 + 95890 = x", "Combine constants: 34x + 3036 = x", "Subtract x from both sides: 33x + 3036 = 0", "Subtract 3036 from both sides: 33x = -3036", "Divide both sides by 33: x = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x - 2731) + 95890 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 2731, \"d\": 95890, \"x\": -92}", "seed": "922379427470389562", "semantic_fingerprint": "sha256:ce81672827eb47d9e29e7681c958f5051c2b27f0f3f909188206b9f348a0a2b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003713", "prompt": "Evaluate: -29052 * (-1687) + (9079 + (-1049) * (-13696)) - (-2831)", "solution_steps": ["Multiply: -29052 * (-1687) = 49010724", "Multiply: -1049 * (-13696) = 14367104", "Add: 9079 + 14367104 = 14376183", "Add: 49010724 + 14376183 = 63386907", "Subtract: 63386907 - (-2831) = 63389738"], "final_answer": "63389738", "answer_type": "integer", "kind": "expression", "math_text": "-29052 * (-1687) + (9079 + (-1049) * (-13696)) - (-2831)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) (+ n (* n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29052, \"b\": -1687, \"c\": 9079, \"d\": -1049, \"e\": -13696, \"f\": -2831}", "seed": "1140769452416752889", "semantic_fingerprint": "sha256:2a07d46a025d63929410a670ca866f907f44c00e0ae491906f003db21a27f5d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003714", "prompt": "What is 8000 / (5392 - (-63266 - (-69121)))?", "solution_steps": ["Subtract: -63266 - (-69121) = 5855", "Subtract: 5392 - 5855 = -463", "Divide: 8000 / (-463) = -8000/463"], "final_answer": "-8000/463", "answer_type": "rational", "kind": "expression", "math_text": "8000 / (5392 - (-63266 - (-69121)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8000, \"b\": 5392, \"c\": -63266, \"d\": -69121}", "seed": "10063290956474416006", "semantic_fingerprint": "sha256:08e941164fbd6b8ac988da2a24bc96f0fdc7a99dbd1b0258a6fed81a7cba6289", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003715", "prompt": "Calculate: (80346 - 2384 + (-75960)) / 8666", "solution_steps": ["Subtract: 80346 - 2384 = 77962", "Add: 77962 + (-75960) = 2002", "Divide: 2002 / 8666 = 143/619"], "final_answer": "143/619", "answer_type": "rational", "kind": "expression", "math_text": "(80346 - 2384 + (-75960)) / 8666", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80346, \"b\": 2384, \"c\": -75960, \"d\": 8666}", "seed": "439741017241787538", "semantic_fingerprint": "sha256:d324550ad02ef0fa4e3aaa239cc3c45e821d42805cff1064ae7e55942d5e283f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003716", "prompt": "What is 50773 + (87601 * 8891 / (-4701) + 3850)?", "solution_steps": ["Multiply: 87601 * 8891 = 778860491", "Divide: 778860491 / (-4701) = -778860491/4701", "Add: -778860491/4701 + 3850 = -760761641/4701", "Add: 50773 + (-760761641/4701) = -522077768/4701"], "final_answer": "-522077768/4701", "answer_type": "rational", "kind": "expression", "math_text": "50773 + (87601 * 8891 / (-4701) + 3850)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 50773, \"b\": 87601, \"c\": 8891, \"d\": -4701, \"e\": 3850}", "seed": "520381029166434393", "semantic_fingerprint": "sha256:8012a88b50f100be319a70828c06431228a6f0e834dd055219acc7bc14808ad1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003717", "prompt": "Calculate: 62088 - (-33555) + (-2982) + 3906", "solution_steps": ["Subtract: 62088 - (-33555) = 95643", "Add: 95643 + (-2982) = 92661", "Add: 92661 + 3906 = 96567"], "final_answer": "96567", "answer_type": "integer", "kind": "expression", "math_text": "62088 - (-33555) + (-2982) + 3906", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62088, \"b\": -33555, \"c\": -2982, \"d\": 3906}", "seed": "986711451394078918", "semantic_fingerprint": "sha256:ba6a5adcb4693a7b7313f61abc6e4cf5c446f325de006b40c68ccc37453cc899", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003718", "prompt": "Calculate: -7254 * (-8061 / (-28044))", "solution_steps": ["Divide: -8061 / (-28044) = 2687/9348", "Multiply: -7254 * (2687/9348) = -3248583/1558"], "final_answer": "-3248583/1558", "answer_type": "rational", "kind": "expression", "math_text": "-7254 * (-8061 / (-28044))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7254, \"b\": -8061, \"c\": -28044}", "seed": "42206320151293391", "semantic_fingerprint": "sha256:18ccc8a3af30f4a5275fc65dfc830846504483049500d81758b445ffa2af1bf9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003719", "prompt": "What is 7904 - (-6910) * (-5146)?", "solution_steps": ["Multiply: -6910 * (-5146) = 35558860", "Subtract: 7904 - 35558860 = -35550956"], "final_answer": "-35550956", "answer_type": "integer", "kind": "expression", "math_text": "7904 - (-6910) * (-5146)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7904, \"b\": -6910, \"c\": -5146}", "seed": "7344449104724383322", "semantic_fingerprint": "sha256:b16555201b8c98d56b44029d6bcffaefd38bf14f22ef4805b634871554a37b57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003720", "prompt": "What is 60642 - (17306 - (-3729))?", "solution_steps": ["Subtract: 17306 - (-3729) = 21035", "Subtract: 60642 - 21035 = 39607"], "final_answer": "39607", "answer_type": "integer", "kind": "expression", "math_text": "60642 - (17306 - (-3729))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60642, \"b\": 17306, \"c\": -3729}", "seed": "16281807411492338780", "semantic_fingerprint": "sha256:2606f69919e64ba5d989700fdb393eb33690b9a7577551c03fa7fe145f7e7f30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003721", "prompt": "Calculate: 79376 + (7034 + 50331)", "solution_steps": ["Add: 7034 + 50331 = 57365", "Add: 79376 + 57365 = 136741"], "final_answer": "136741", "answer_type": "integer", "kind": "expression", "math_text": "79376 + (7034 + 50331)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79376, \"b\": 7034, \"c\": 50331}", "seed": "2368543817052807880", "semantic_fingerprint": "sha256:924537915b062bc4454574abfb9b6c9eb91bc1fb2c3e82ed7c2f12fda28badb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003722", "prompt": "Compute: 6362 * (-1664) * (-7427) - (-28985)", "solution_steps": ["Multiply: 6362 * (-1664) = -10586368", "Multiply: -10586368 * (-7427) = 78624955136", "Subtract: 78624955136 - (-28985) = 78624984121"], "final_answer": "78624984121", "answer_type": "integer", "kind": "expression", "math_text": "6362 * (-1664) * (-7427) - (-28985)", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6362, \"b\": -1664, \"c\": -7427, \"d\": -28985}", "seed": "14187291645759431722", "semantic_fingerprint": "sha256:7ae508bced54926722fbcf3e83067be01c26ac53ee4e3a31c012eeb888ac5add", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003723", "prompt": "Compute: -9889 / 4309", "solution_steps": ["Divide: -9889 / 4309 = -319/139"], "final_answer": "-319/139", "answer_type": "rational", "kind": "expression", "math_text": "-9889 / 4309", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9889, \"b\": 4309}", "seed": "16802840398841120776", "semantic_fingerprint": "sha256:bcb76c641764058b24e031b9b9b0b6d5e062c729f2f31ed0fc760bd54ddfdb55", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003724", "prompt": "Calculate: (85146 + (-98127)) * 8652", "solution_steps": ["Add: 85146 + (-98127) = -12981", "Multiply: -12981 * 8652 = -112311612"], "final_answer": "-112311612", "answer_type": "integer", "kind": "expression", "math_text": "(85146 + (-98127)) * 8652", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85146, \"b\": -98127, \"c\": 8652}", "seed": "6600741275948944627", "semantic_fingerprint": "sha256:9772b68556edaa141342b8f98ed3f47182881ff5a626fe73b273119cb7728227", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003725", "prompt": "What is 8054 / ((-9039 + (-4607)) / 28493) * 7432?", "solution_steps": ["Add: -9039 + (-4607) = -13646", "Divide: -13646 / 28493 = -13646/28493", "Divide: 8054 / (-13646/28493) = -114741311/6823", "Multiply: (-114741311/6823) * 7432 = -852757423352/6823"], "final_answer": "-852757423352/6823", "answer_type": "rational", "kind": "expression", "math_text": "8054 / ((-9039 + (-4607)) / 28493) * 7432", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8054, \"b\": -9039, \"c\": -4607, \"d\": 28493, \"e\": 7432}", "seed": "5024750000176093833", "semantic_fingerprint": "sha256:a4b716c86fd4c2e580b6cae961f3b1eb09e82df6cdae2fa85e5d0aa141c3cea3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003726", "prompt": "What value of x satisfies 35x - 3173 = -16(x - 5228) - 84781?", "solution_steps": ["Expand: 35x - 3173 = -16x + 83648 - 84781", "Combine constants: 35x - 3173 = -16x - 1133", "Add 16x to both sides: 51x - 3173 = -1133", "Add 3173 to both sides: 51x = 2040", "Divide both sides by 51: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x - 3173 = -16(x - 5228) - 84781", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 3173, \"c\": -16, \"d\": 5228, \"f\": -84781, \"x\": 40}", "seed": "7203466628105502081", "semantic_fingerprint": "sha256:b91e08868aa0638b724f225a3a4274d7c74e511b25dddbdf68b80508b78f81f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003727", "prompt": "What is -7269 + 64921 * (-38715)?", "solution_steps": ["Multiply: 64921 * (-38715) = -2513416515", "Add: -7269 + (-2513416515) = -2513423784"], "final_answer": "-2513423784", "answer_type": "integer", "kind": "expression", "math_text": "-7269 + 64921 * (-38715)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7269, \"b\": 64921, \"c\": -38715}", "seed": "6107306096271887780", "semantic_fingerprint": "sha256:0b5192f94c2d612eed80b7c25da0280c2d489986bf0a439ca10dfd51a30dcd32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003728", "prompt": "Evaluate: 82817 * (7873 / 55067)", "solution_steps": ["Divide: 7873 / 55067 = 7873/55067", "Multiply: 82817 * (7873/55067) = 652018241/55067"], "final_answer": "652018241/55067", "answer_type": "rational", "kind": "expression", "math_text": "82817 * (7873 / 55067)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82817, \"b\": 7873, \"c\": 55067}", "seed": "4550739701107216945", "semantic_fingerprint": "sha256:a622ac600834ca330bb02757e111f0323c196bcda82751756b743c36c4f83d58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003729", "prompt": "Calculate: (7879 - 6528) * 63042", "solution_steps": ["Subtract: 7879 - 6528 = 1351", "Multiply: 1351 * 63042 = 85169742"], "final_answer": "85169742", "answer_type": "integer", "kind": "expression", "math_text": "(7879 - 6528) * 63042", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7879, \"b\": 6528, \"c\": 63042}", "seed": "7673630478409684446", "semantic_fingerprint": "sha256:3b7b64607e994be97651e74281d709dab97d6b05e2a2acee129dd1e3dc41032e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003730", "prompt": "Compute: 3053 * (1957 + 12388)", "solution_steps": ["Add: 1957 + 12388 = 14345", "Multiply: 3053 * 14345 = 43795285"], "final_answer": "43795285", "answer_type": "integer", "kind": "expression", "math_text": "3053 * (1957 + 12388)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3053, \"b\": 1957, \"c\": 12388}", "seed": "6289012452775107873", "semantic_fingerprint": "sha256:aa634717c3d1e9e86c8885e27deaa5ff9be0449e412da7b5072e6db55fafa107", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003731", "prompt": "Find x: x = 17x", "solution_steps": ["Subtract 17x from both sides: -16x = 0", "Divide both sides by -16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 17x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17}", "seed": "14229203091214029670", "semantic_fingerprint": "sha256:ae970963f21ee907cd116799b554cdd996d26e93dbf516a5d7b748d9c7e0cb65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003732", "prompt": "Solve the equation x - 7472 = 33x - 11984 for x.", "solution_steps": ["Subtract 33x from both sides: -32x - 7472 = -11984", "Add 7472 to both sides: -32x = -4512", "Divide both sides by -32: x = 141"], "final_answer": "141", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7472 = 33x - 11984", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7472, \"b\": 33, \"d\": -11984, \"x\": 141}", "seed": "15987497102311002771", "semantic_fingerprint": "sha256:1f86412f99fcbeeb9e760725abf7f3be8360cf554255a41fba77f3a6fdb1e824", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003733", "prompt": "What value of x satisfies -33x = -24x?", "solution_steps": ["Add 24x to both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33x = -24x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": -24}", "seed": "13638709237751871153", "semantic_fingerprint": "sha256:17081e9f12778dd2dd5813b3bdc7e8f561cc007604373dee58b676ca86e9f2f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003734", "prompt": "Evaluate: 15428 + 3862 + (-55176)", "solution_steps": ["Add: 15428 + 3862 = 19290", "Add: 19290 + (-55176) = -35886"], "final_answer": "-35886", "answer_type": "integer", "kind": "expression", "math_text": "15428 + 3862 + (-55176)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15428, \"b\": 3862, \"c\": -55176}", "seed": "3485838488488648322", "semantic_fingerprint": "sha256:0f3554ba2a7d398236cf9ba13fb22af5f28245ae118698cefe913cf835599bbb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003735", "prompt": "Calculate: 5664 + (9999 + 7116)", "solution_steps": ["Add: 9999 + 7116 = 17115", "Add: 5664 + 17115 = 22779"], "final_answer": "22779", "answer_type": "integer", "kind": "expression", "math_text": "5664 + (9999 + 7116)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5664, \"b\": 9999, \"c\": 7116}", "seed": "11411447949607614117", "semantic_fingerprint": "sha256:bf657d7d41a5e71af80ed6d597be017f0fb91628de0772fd0fdb54ea73ac9398", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003736", "prompt": "Solve the equation 24(x - 25442) = 14(x - 1138) for x.", "solution_steps": ["Expand: 24x - 610608 = 14(x - 1138)", "Expand: 24x - 610608 = 14x - 15932", "Subtract 14x from both sides: 10x - 610608 = -15932", "Add 610608 to both sides: 10x = 594676", "Divide both sides by 10: x = 297338/5"], "final_answer": "297338/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 25442) = 14(x - 1138)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 25442, \"c\": 14, \"d\": 1138}", "seed": "8562599094310600816", "semantic_fingerprint": "sha256:5d1484ed44c4db730e20bc656c75b225fb4cb04a3e13778567d8c712cd9dffd0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003737", "prompt": "Compute: 8253 + 9276 + 69703", "solution_steps": ["Add: 8253 + 9276 = 17529", "Add: 17529 + 69703 = 87232"], "final_answer": "87232", "answer_type": "integer", "kind": "expression", "math_text": "8253 + 9276 + 69703", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8253, \"b\": 9276, \"c\": 69703}", "seed": "17718145151362496556", "semantic_fingerprint": "sha256:e15577921412a65906a36534acd01868b24384948379d8ae5b395e08fd0c99a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003738", "prompt": "Compute: (1529 - (17500 + (-6269))) * (-7804 * (1478 / (-92284)))", "solution_steps": ["Add: 17500 + (-6269) = 11231", "Subtract: 1529 - 11231 = -9702", "Divide: 1478 / (-92284) = -739/46142", "Multiply: -7804 * (-739/46142) = 2883578/23071", "Multiply: -9702 * (2883578/23071) = -27976473756/23071"], "final_answer": "-27976473756/23071", "answer_type": "rational", "kind": "expression", "math_text": "(1529 - (17500 + (-6269))) * (-7804 * (1478 / (-92284)))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1529, \"b\": 17500, \"c\": -6269, \"d\": -7804, \"e\": 1478, \"f\": -92284}", "seed": "2298565822022004729", "semantic_fingerprint": "sha256:9c61ca566540403330c2d850d516e33c5af1d0fdd548646d6240e80f3233b0ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003739", "prompt": "Calculate: 56819 - (-6236) + (7191 + 61138 - (-2461))", "solution_steps": ["Subtract: 56819 - (-6236) = 63055", "Add: 7191 + 61138 = 68329", "Subtract: 68329 - (-2461) = 70790", "Add: 63055 + 70790 = 133845"], "final_answer": "133845", "answer_type": "integer", "kind": "expression", "math_text": "56819 - (-6236) + (7191 + 61138 - (-2461))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 56819, \"b\": -6236, \"c\": 7191, \"d\": 61138, \"e\": -2461}", "seed": "379871416755337224", "semantic_fingerprint": "sha256:0d9464b9275e6133d34236388df57c14549d7e3331d830c8cfbdf16386ebf2c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003740", "prompt": "Solve for x: 31(x + 7694) = x - 4032", "solution_steps": ["Expand: 31x + 238514 = x - 4032", "Subtract x from both sides: 30x + 238514 = -4032", "Subtract 238514 from both sides: 30x = -242546", "Divide both sides by 30: x = -121273/15"], "final_answer": "-121273/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 7694) = x - 4032", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 7694, \"c\": 4032}", "seed": "5346092169673779098", "semantic_fingerprint": "sha256:eeecef47265d19257d357c0ab75f3802b371866c594349cfa2b15141f52d87d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003741", "prompt": "Calculate: -27407 * (-33316)", "solution_steps": ["Multiply: -27407 * (-33316) = 913091612"], "final_answer": "913091612", "answer_type": "integer", "kind": "expression", "math_text": "-27407 * (-33316)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -27407, \"b\": -33316}", "seed": "17737388941798517648", "semantic_fingerprint": "sha256:7fb6a8c90d59924a15e4b5568ddd68555352967da2615f0666376ab133400ee0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003742", "prompt": "Compute: -56302 + (-4409)", "solution_steps": ["Add: -56302 + (-4409) = -60711"], "final_answer": "-60711", "answer_type": "integer", "kind": "expression", "math_text": "-56302 + (-4409)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -56302, \"b\": -4409}", "seed": "8624510219865319434", "semantic_fingerprint": "sha256:7e926df74af5fc6e2485b8400465f5d745a6db04f4af9beaba7a4b02a9b5968b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003743", "prompt": "Calculate: (3363 + 70747 + (-1092)) * (-2215 - 9413 - 3606)", "solution_steps": ["Add: 3363 + 70747 = 74110", "Add: 74110 + (-1092) = 73018", "Subtract: -2215 - 9413 = -11628", "Subtract: -11628 - 3606 = -15234", "Multiply: 73018 * (-15234) = -1112356212"], "final_answer": "-1112356212", "answer_type": "integer", "kind": "expression", "math_text": "(3363 + 70747 + (-1092)) * (-2215 - 9413 - 3606)", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3363, \"b\": 70747, \"c\": -1092, \"d\": -2215, \"e\": 9413, \"f\": 3606}", "seed": "8569948400383403823", "semantic_fingerprint": "sha256:a7a7f64092bf2314c98183d9267c86f6de6389ba6b4c951323e42e97a485939d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003744", "prompt": "Calculate: 37919 * 7780", "solution_steps": ["Multiply: 37919 * 7780 = 295009820"], "final_answer": "295009820", "answer_type": "integer", "kind": "expression", "math_text": "37919 * 7780", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 37919, \"b\": 7780}", "seed": "4959207233782026676", "semantic_fingerprint": "sha256:9873078c8774414aee52422744e96194bdea12077c2254f0e4c80ec693f36fc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003745", "prompt": "Compute: -32343 - (-8304)", "solution_steps": ["Subtract: -32343 - (-8304) = -24039"], "final_answer": "-24039", "answer_type": "integer", "kind": "expression", "math_text": "-32343 - (-8304)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -32343, \"b\": -8304}", "seed": "16198929397078877048", "semantic_fingerprint": "sha256:c32425e829178820d9d442061cb81a2dcd0f758577fbd0cfdbc9b0d4f31953ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003746", "prompt": "Evaluate: 6580 + (9655 + (-80572))", "solution_steps": ["Add: 9655 + (-80572) = -70917", "Add: 6580 + (-70917) = -64337"], "final_answer": "-64337", "answer_type": "integer", "kind": "expression", "math_text": "6580 + (9655 + (-80572))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6580, \"b\": 9655, \"c\": -80572}", "seed": "9186510393884668609", "semantic_fingerprint": "sha256:921f19858c299ccd370a26f7bcdb0ed94e51be1e04b9510b0ca6941e3ff8b7db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003747", "prompt": "Compute: -86351 * (-45492)", "solution_steps": ["Multiply: -86351 * (-45492) = 3928279692"], "final_answer": "3928279692", "answer_type": "integer", "kind": "expression", "math_text": "-86351 * (-45492)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86351, \"b\": -45492}", "seed": "10967193536565668445", "semantic_fingerprint": "sha256:16fe4ab519d983e60b9e37e15707dfb801020a10cc9e7599dc37f4f59384b875", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003748", "prompt": "Calculate: -32734 / (70796 - 8323)", "solution_steps": ["Subtract: 70796 - 8323 = 62473", "Divide: -32734 / 62473 = -32734/62473"], "final_answer": "-32734/62473", "answer_type": "rational", "kind": "expression", "math_text": "-32734 / (70796 - 8323)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32734, \"b\": 70796, \"c\": 8323}", "seed": "18418060080391663206", "semantic_fingerprint": "sha256:277f3bbb9cdc9598846bad91eefe6686255bf44d8df794a3d74166c75568b6c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003749", "prompt": "Evaluate: 55102 - 5417", "solution_steps": ["Subtract: 55102 - 5417 = 49685"], "final_answer": "49685", "answer_type": "integer", "kind": "expression", "math_text": "55102 - 5417", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 55102, \"b\": 5417}", "seed": "10381502969573299565", "semantic_fingerprint": "sha256:4447e5880c72180a8687407f968841d82b1176c5a4af7bf3a05a90efe9ecb480", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003750", "prompt": "Solve the equation x = -22(x - 8037) + 53473 for x.", "solution_steps": ["Expand: x = -22x + 176814 + 53473", "Combine constants: x = -22x + 230287", "Add 22x to both sides: 23x = 230287", "Divide both sides by 23: x = 230287/23"], "final_answer": "230287/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -22(x - 8037) + 53473", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 8037, \"c\": 53473}", "seed": "14235478042346477728", "semantic_fingerprint": "sha256:6afbc5dd350f7ca41779ecae365e662144888ea6ee784260b38ad932c16f6d0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003751", "prompt": "Find x: x = 31x - 5250", "solution_steps": ["Subtract 31x from both sides: -30x = -5250", "Divide both sides by -30: x = 175"], "final_answer": "175", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 31x - 5250", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -5250, \"x\": 175}", "seed": "17709773793893183979", "semantic_fingerprint": "sha256:65f671ec4956d0cdb4f8b52876b980ca9a4cba0dfcf69f4852880365af5b09bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003752", "prompt": "Compute: 6023 / (-46727)", "solution_steps": ["Divide: 6023 / (-46727) = -6023/46727"], "final_answer": "-6023/46727", "answer_type": "rational", "kind": "expression", "math_text": "6023 / (-46727)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6023, \"b\": -46727}", "seed": "18121258714625676399", "semantic_fingerprint": "sha256:f9e35dcfe74683bde1b7be67c6dafd8b73595043c823091c7ef66c03d8cd6eac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003753", "prompt": "Evaluate: -4734 - (95443 * 5285 - (-5835) * 4191)", "solution_steps": ["Multiply: 95443 * 5285 = 504416255", "Multiply: -5835 * 4191 = -24454485", "Subtract: 504416255 - (-24454485) = 528870740", "Subtract: -4734 - 528870740 = -528875474"], "final_answer": "-528875474", "answer_type": "integer", "kind": "expression", "math_text": "-4734 - (95443 * 5285 - (-5835) * 4191)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4734, \"b\": 95443, \"c\": 5285, \"d\": -5835, \"e\": 4191}", "seed": "4590771494474267230", "semantic_fingerprint": "sha256:272b9aa2aa6f4fa736cc8d93736f7f8dde22db325d8d3d73cc2731e47036e867", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003754", "prompt": "Evaluate: 6116 * (41170 + (-8372 + 54326))", "solution_steps": ["Add: -8372 + 54326 = 45954", "Add: 41170 + 45954 = 87124", "Multiply: 6116 * 87124 = 532850384"], "final_answer": "532850384", "answer_type": "integer", "kind": "expression", "math_text": "6116 * (41170 + (-8372 + 54326))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6116, \"b\": 41170, \"c\": -8372, \"d\": 54326}", "seed": "878723567099618540", "semantic_fingerprint": "sha256:ab7dab445fe823744565327d29572a89f2d886c71002d07b032fa71e91ce80f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003755", "prompt": "Find x: 19x = 1520", "solution_steps": ["Divide both sides by 19: x = 80"], "final_answer": "80", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x = 1520", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 1520, \"x\": 80}", "seed": "15492985752335550474", "semantic_fingerprint": "sha256:98127832a8bbbcfe78d51eb3d5baad24e3603199f92d67109ee707816a480374", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003756", "prompt": "Solve for x: x - 59796 = -17(x + 3402)", "solution_steps": ["Expand: x - 59796 = -17x - 57834", "Add 17x to both sides: 18x - 59796 = -57834", "Add 59796 to both sides: 18x = 1962", "Divide both sides by 18: x = 109"], "final_answer": "109", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 59796 = -17(x + 3402)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 3402, \"d\": -59796, \"x\": 109}", "seed": "11019846602471026670", "semantic_fingerprint": "sha256:da6968ff3efce7cf1b6544523b320fd9409d9a763ab3f754c1a41bc670bbb873", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003757", "prompt": "Evaluate: -6921 - 7465 - 4732", "solution_steps": ["Subtract: -6921 - 7465 = -14386", "Subtract: -14386 - 4732 = -19118"], "final_answer": "-19118", "answer_type": "integer", "kind": "expression", "math_text": "-6921 - 7465 - 4732", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6921, \"b\": 7465, \"c\": 4732}", "seed": "18351366783546894631", "semantic_fingerprint": "sha256:f39746e6ca39989f1dd62dfc5679de50337e341edb93acf37fab19b0769a8aa1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003758", "prompt": "Evaluate: 99937 - 9717 - (-4570 + 51533 - 30563 * (-75137))", "solution_steps": ["Subtract: 99937 - 9717 = 90220", "Add: -4570 + 51533 = 46963", "Multiply: 30563 * (-75137) = -2296412131", "Subtract: 46963 - (-2296412131) = 2296459094", "Subtract: 90220 - 2296459094 = -2296368874"], "final_answer": "-2296368874", "answer_type": "integer", "kind": "expression", "math_text": "99937 - 9717 - (-4570 + 51533 - 30563 * (-75137))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- (+ n n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 99937, \"b\": 9717, \"c\": -4570, \"d\": 51533, \"e\": 30563, \"f\": -75137}", "seed": "15235554755946600474", "semantic_fingerprint": "sha256:a45cc4131f9009c1e64461589183bebd9a6774cec2d2b9717749cce6b33a2254", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003759", "prompt": "What is -35948 - (-24274)?", "solution_steps": ["Subtract: -35948 - (-24274) = -11674"], "final_answer": "-11674", "answer_type": "integer", "kind": "expression", "math_text": "-35948 - (-24274)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -35948, \"b\": -24274}", "seed": "2311560458715581323", "semantic_fingerprint": "sha256:c9a0264cf4141dac4011c5e1cc13f2d1ec19526bc28368fad20bcae36f5c325c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003760", "prompt": "What is 5477 + (-10216) - (-4002)?", "solution_steps": ["Add: 5477 + (-10216) = -4739", "Subtract: -4739 - (-4002) = -737"], "final_answer": "-737", "answer_type": "integer", "kind": "expression", "math_text": "5477 + (-10216) - (-4002)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5477, \"b\": -10216, \"c\": -4002}", "seed": "10766484235768034106", "semantic_fingerprint": "sha256:67aad7ce9b02d65547e67a9d2342d20f45d108c7ce9bd67577f0333b123cfb20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003761", "prompt": "Calculate: 2744 / 3751 + (8843 + 7166 * 7943)", "solution_steps": ["Divide: 2744 / 3751 = 2744/3751", "Multiply: 7166 * 7943 = 56919538", "Add: 8843 + 56919538 = 56928381", "Add: 2744/3751 + 56928381 = 213538359875/3751"], "final_answer": "213538359875/3751", "answer_type": "rational", "kind": "expression", "math_text": "2744 / 3751 + (8843 + 7166 * 7943)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2744, \"b\": 3751, \"c\": 8843, \"d\": 7166, \"e\": 7943}", "seed": "14502245315051360487", "semantic_fingerprint": "sha256:82a88496c6efd3d4d36aa8b54c198a99b0c4c3ab51deb0e16909bdb6639e4c34", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003762", "prompt": "What is 9606 / (-53051 - (-8158))?", "solution_steps": ["Subtract: -53051 - (-8158) = -44893", "Divide: 9606 / (-44893) = -9606/44893"], "final_answer": "-9606/44893", "answer_type": "rational", "kind": "expression", "math_text": "9606 / (-53051 - (-8158))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9606, \"b\": -53051, \"c\": -8158}", "seed": "11819441936428569626", "semantic_fingerprint": "sha256:1c189e3b67eaa6d06bb6a860a832edc64d269109d0f756e2db5534e1a8e17910", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003763", "prompt": "Evaluate: 29461 + 7218 * 2755", "solution_steps": ["Multiply: 7218 * 2755 = 19885590", "Add: 29461 + 19885590 = 19915051"], "final_answer": "19915051", "answer_type": "integer", "kind": "expression", "math_text": "29461 + 7218 * 2755", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29461, \"b\": 7218, \"c\": 2755}", "seed": "14718912032347096218", "semantic_fingerprint": "sha256:a461307234a7756bb5a0145b51750ae20057c988e228d8ee770903ad6f1b3d4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003764", "prompt": "Find x: -31x = -5890", "solution_steps": ["Divide both sides by -31: x = 190"], "final_answer": "190", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x = -5890", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31, \"c\": -5890, \"x\": 190}", "seed": "10156043133775104747", "semantic_fingerprint": "sha256:81a7cacb2f7e2e36b101345b4d031788783f7e0be83ed8a4bb43b9b466bf790a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003765", "prompt": "Solve for x: 31(x + 2343) = x - 23434", "solution_steps": ["Expand: 31x + 72633 = x - 23434", "Subtract x from both sides: 30x + 72633 = -23434", "Subtract 72633 from both sides: 30x = -96067", "Divide both sides by 30: x = -96067/30"], "final_answer": "-96067/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 2343) = x - 23434", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2343, \"c\": 23434}", "seed": "10278698654846834333", "semantic_fingerprint": "sha256:c27d3310e247eca36658ec2f0b0e15cba24f9fbb8baba82250f6187e2c13d004", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003766", "prompt": "Solve for x: -29(x - 16139) = 22(x - 7250) + 47562", "solution_steps": ["Expand: -29x + 468031 = 22(x - 7250) + 47562", "Expand: -29x + 468031 = 22x - 159500 + 47562", "Combine constants: -29x + 468031 = 22x - 111938", "Subtract 22x from both sides: -51x + 468031 = -111938", "Subtract 468031 from both sides: -51x = -579969", "Divide both sides by -51: x = 193323/17"], "final_answer": "193323/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x - 16139) = 22(x - 7250) + 47562", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 16139, \"c\": 22, \"d\": 7250, \"e\": 47562}", "seed": "1446906215607753471", "semantic_fingerprint": "sha256:c3b96283c3170cfb821884ff587b42f7ae88164ab685506f661ea76c60e8bbf8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003767", "prompt": "What value of x satisfies 21x + 3740 = -34x?", "solution_steps": ["Add 34x to both sides: 55x + 3740 = 0", "Subtract 3740 from both sides: 55x = -3740", "Divide both sides by 55: x = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 3740 = -34x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": -34, \"d\": 3740, \"x\": -68}", "seed": "17482474241484161599", "semantic_fingerprint": "sha256:cef8415ac1b355b271f1a77629b425d69cce5104dbdc1cdb97758d1c1b95fe95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003768", "prompt": "Compute: (-3637 - 17340 - (-7756) - (-34311 + 59722)) * (-1466)", "solution_steps": ["Subtract: -3637 - 17340 = -20977", "Subtract: -20977 - (-7756) = -13221", "Add: -34311 + 59722 = 25411", "Subtract: -13221 - 25411 = -38632", "Multiply: -38632 * (-1466) = 56634512"], "final_answer": "56634512", "answer_type": "integer", "kind": "expression", "math_text": "(-3637 - 17340 - (-7756) - (-34311 + 59722)) * (-1466)", "variable": null, "family": "expression_5op", "shape": "(* (- (- (- n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3637, \"b\": 17340, \"c\": -7756, \"d\": -34311, \"e\": 59722, \"f\": -1466}", "seed": "14866730534096102041", "semantic_fingerprint": "sha256:6443540e0e409c3bec963e98bf37d9292531b49b73dadc10bd7ea033aaab6541", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003769", "prompt": "Find x: x - 7818 = -21x - 4232", "solution_steps": ["Add 21x to both sides: 22x - 7818 = -4232", "Add 7818 to both sides: 22x = 3586", "Divide both sides by 22: x = 163"], "final_answer": "163", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7818 = -21x - 4232", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7818, \"b\": -21, \"d\": -4232, \"x\": 163}", "seed": "18061047209850861436", "semantic_fingerprint": "sha256:5bee793f0702215276c788d4dfd99e164a6a9d879a17c8ead41021ba03835e81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003770", "prompt": "Compute: -91592 - 4396", "solution_steps": ["Subtract: -91592 - 4396 = -95988"], "final_answer": "-95988", "answer_type": "integer", "kind": "expression", "math_text": "-91592 - 4396", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -91592, \"b\": 4396}", "seed": "18172805047588804381", "semantic_fingerprint": "sha256:865127304c7a378629d31f88448685068739990490d9806e6a76eb9eaa343cdb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003771", "prompt": "Evaluate: 94454 / 7585", "solution_steps": ["Divide: 94454 / 7585 = 94454/7585"], "final_answer": "94454/7585", "answer_type": "rational", "kind": "expression", "math_text": "94454 / 7585", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 94454, \"b\": 7585}", "seed": "9896358617463065180", "semantic_fingerprint": "sha256:00d876ebb207c717bf1e492f6cdf5f56db5526dbdacb94d01ef25436c0688525", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003772", "prompt": "What value of x satisfies 40x = 27x + 1690?", "solution_steps": ["Subtract 27x from both sides: 13x = 1690", "Divide both sides by 13: x = 130"], "final_answer": "130", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = 27x + 1690", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 27, \"d\": 1690, \"x\": 130}", "seed": "16628485497523737840", "semantic_fingerprint": "sha256:60e431494a9546e7f740f69908256c14343c0792f4a01305eb83650f65c623a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003773", "prompt": "What is -99284 / (-6527)?", "solution_steps": ["Divide: -99284 / (-6527) = 99284/6527"], "final_answer": "99284/6527", "answer_type": "rational", "kind": "expression", "math_text": "-99284 / (-6527)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99284, \"b\": -6527}", "seed": "1080211978007024036", "semantic_fingerprint": "sha256:253fc170aaf8e81b1de74d15e2a5948de70734874408f755afd1fafab961438d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003774", "prompt": "Find x: 18x + 2565 = 19(x - 1494) + 30986", "solution_steps": ["Expand: 18x + 2565 = 19x - 28386 + 30986", "Combine constants: 18x + 2565 = 19x + 2600", "Subtract 19x from both sides: -x + 2565 = 2600", "Subtract 2565 from both sides: -x = 35", "Divide both sides by -1: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x + 2565 = 19(x - 1494) + 30986", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2565, \"c\": 19, \"d\": 1494, \"f\": 30986, \"x\": -35}", "seed": "3004714802340847501", "semantic_fingerprint": "sha256:ef57234e97db3a12043efd222ff081261fe801fc5504ab443c7f3800612a1267", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003775", "prompt": "Evaluate: -44645 - (-18945 - (-67047 - (-9377))) / (-4803)", "solution_steps": ["Subtract: -67047 - (-9377) = -57670", "Subtract: -18945 - (-57670) = 38725", "Divide: 38725 / (-4803) = -38725/4803", "Subtract: -44645 - (-38725/4803) = -214391210/4803"], "final_answer": "-214391210/4803", "answer_type": "rational", "kind": "expression", "math_text": "-44645 - (-18945 - (-67047 - (-9377))) / (-4803)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -44645, \"b\": -18945, \"c\": -67047, \"d\": -9377, \"e\": -4803}", "seed": "15599856635500752286", "semantic_fingerprint": "sha256:33f3fb27b4722883098352d18e892e0ae458e0864cf90530b274e32ac9c3d52d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003776", "prompt": "Calculate: 84216 * (-29330 - 97781)", "solution_steps": ["Subtract: -29330 - 97781 = -127111", "Multiply: 84216 * (-127111) = -10704779976"], "final_answer": "-10704779976", "answer_type": "integer", "kind": "expression", "math_text": "84216 * (-29330 - 97781)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84216, \"b\": -29330, \"c\": 97781}", "seed": "4094420706802928119", "semantic_fingerprint": "sha256:3485a46f401943ffc4e9918b9629ad25cd65957a6bd0d9528e2c917ea1ee3cc2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003777", "prompt": "Solve for x: 34(x - 2090) = 36(x + 4939)", "solution_steps": ["Expand: 34x - 71060 = 36(x + 4939)", "Expand: 34x - 71060 = 36x + 177804", "Subtract 36x from both sides: -2x - 71060 = 177804", "Add 71060 to both sides: -2x = 248864", "Divide both sides by -2: x = -124432"], "final_answer": "-124432", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x - 2090) = 36(x + 4939)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 2090, \"c\": 36, \"d\": 4939}", "seed": "6398703554059661136", "semantic_fingerprint": "sha256:fb0a35fecec70abffcc26734bd93cf84f2388b8369dbf9ebcb8b3c69d27e855d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003778", "prompt": "Calculate: 5400 / 15039 + (-16230)", "solution_steps": ["Divide: 5400 / 15039 = 200/557", "Add: 200/557 + (-16230) = -9039910/557"], "final_answer": "-9039910/557", "answer_type": "rational", "kind": "expression", "math_text": "5400 / 15039 + (-16230)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5400, \"b\": 15039, \"c\": -16230}", "seed": "1867151330658443434", "semantic_fingerprint": "sha256:9087d458db25ee9165c1ecf43857e0721c8609bc4ffcd207e91882b1efffcdd3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003779", "prompt": "Calculate: (-2141 - 6354) * (-60749)", "solution_steps": ["Subtract: -2141 - 6354 = -8495", "Multiply: -8495 * (-60749) = 516062755"], "final_answer": "516062755", "answer_type": "integer", "kind": "expression", "math_text": "(-2141 - 6354) * (-60749)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2141, \"b\": 6354, \"c\": -60749}", "seed": "2350860342260354619", "semantic_fingerprint": "sha256:445ee9ca49e6c9d1e55eaad52afe8c507374522af387add2f57494b03dfaeb3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003780", "prompt": "What value of x satisfies -16(x - 1076) = x?", "solution_steps": ["Expand: -16x + 17216 = x", "Subtract x from both sides: -17x + 17216 = 0", "Subtract 17216 from both sides: -17x = -17216", "Divide both sides by -17: x = 17216/17"], "final_answer": "17216/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x - 1076) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 1076}", "seed": "16565564536168845758", "semantic_fingerprint": "sha256:493acb5245649507c819c65d0c9e2509965ed7fbfa0a2220330fa2655cc4eb31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003781", "prompt": "What is 47856 * (-4942)?", "solution_steps": ["Multiply: 47856 * (-4942) = -236504352"], "final_answer": "-236504352", "answer_type": "integer", "kind": "expression", "math_text": "47856 * (-4942)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 47856, \"b\": -4942}", "seed": "5924953094138697532", "semantic_fingerprint": "sha256:c7c684d34fea03afe8d7848bdb8e66397d16a47125883b330f90d1c69cd4f1b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003782", "prompt": "Solve the equation x = 28(x + 98296) - 49516 for x.", "solution_steps": ["Expand: x = 28x + 2752288 - 49516", "Combine constants: x = 28x + 2702772", "Subtract 28x from both sides: -27x = 2702772", "Divide both sides by -27: x = -300308/3"], "final_answer": "-300308/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x + 98296) - 49516", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 98296, \"c\": 49516}", "seed": "7124272120438896829", "semantic_fingerprint": "sha256:8d42fb8d8e20d66330a041644bba39259b6e995ee72c8148169f63aff963dd29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003783", "prompt": "Calculate: 55936 - 2714 + (-1317) / 49549 * (-1176)", "solution_steps": ["Subtract: 55936 - 2714 = 53222", "Divide: -1317 / 49549 = -1317/49549", "Multiply: (-1317/49549) * (-1176) = 1548792/49549", "Add: 53222 + 1548792/49549 = 2638645670/49549"], "final_answer": "2638645670/49549", "answer_type": "rational", "kind": "expression", "math_text": "55936 - 2714 + (-1317) / 49549 * (-1176)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 55936, \"b\": 2714, \"c\": -1317, \"d\": 49549, \"e\": -1176}", "seed": "8386297529130392071", "semantic_fingerprint": "sha256:92b79945cb0f8d2a28e030d8ba90132c4ac4ca9fea005ba69988521049b33571", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003784", "prompt": "Evaluate: -4752 * (-46527) / (-45588)", "solution_steps": ["Multiply: -4752 * (-46527) = 221096304", "Divide: 221096304 / (-45588) = -18424692/3799"], "final_answer": "-18424692/3799", "answer_type": "rational", "kind": "expression", "math_text": "-4752 * (-46527) / (-45588)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4752, \"b\": -46527, \"c\": -45588}", "seed": "2055087187208139752", "semantic_fingerprint": "sha256:2de24e5e4dae4b3cc9afdc2b6f8fb67a0d3c3dfa3a9d65dd6be99929568af0ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003785", "prompt": "Find x: 13(x - 1429) = 32(x - 3679)", "solution_steps": ["Expand: 13x - 18577 = 32(x - 3679)", "Expand: 13x - 18577 = 32x - 117728", "Subtract 32x from both sides: -19x - 18577 = -117728", "Add 18577 to both sides: -19x = -99151", "Divide both sides by -19: x = 99151/19"], "final_answer": "99151/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 1429) = 32(x - 3679)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 1429, \"c\": 32, \"d\": 3679}", "seed": "1966956956916874014", "semantic_fingerprint": "sha256:2138c1006bcc93db53e1649a8a097856b3f2a7c9322a278b456a4a168a9083be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003786", "prompt": "What is -9760 - (-63011)?", "solution_steps": ["Subtract: -9760 - (-63011) = 53251"], "final_answer": "53251", "answer_type": "integer", "kind": "expression", "math_text": "-9760 - (-63011)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9760, \"b\": -63011}", "seed": "15169212524135965953", "semantic_fingerprint": "sha256:2d2baae0df3f18536f1ae1ca9f5db9ed508f7bf2a60ddb495a50da301cdd00b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003787", "prompt": "What value of x satisfies x - 49921 = 25(x - 1849)?", "solution_steps": ["Expand: x - 49921 = 25x - 46225", "Subtract 25x from both sides: -24x - 49921 = -46225", "Add 49921 to both sides: -24x = 3696", "Divide both sides by -24: x = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 49921 = 25(x - 1849)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1849, \"d\": -49921, \"x\": -154}", "seed": "4566996386024917943", "semantic_fingerprint": "sha256:c3cc909b69820df1d457381a2b83f65f1aa51fee15c2eb2ecb51c2faa70c79d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003788", "prompt": "Evaluate: 69276 - 5535", "solution_steps": ["Subtract: 69276 - 5535 = 63741"], "final_answer": "63741", "answer_type": "integer", "kind": "expression", "math_text": "69276 - 5535", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 69276, \"b\": 5535}", "seed": "10908893433056168975", "semantic_fingerprint": "sha256:2378dfd705bc08383c6d43fab5600cfbe20658a3bca6ad00e02050c88b74e7a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003789", "prompt": "Find x: x = 34(x + 9370)", "solution_steps": ["Expand: x = 34x + 318580", "Subtract 34x from both sides: -33x = 318580", "Divide both sides by -33: x = -318580/33"], "final_answer": "-318580/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 34(x + 9370)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 9370}", "seed": "18080167538129077168", "semantic_fingerprint": "sha256:3bbf14ba106d08929d0180d11afdd52e14eac2f857ff05c78a8a5879ed285411", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003790", "prompt": "Compute: -82529 / 89301 * 62118", "solution_steps": ["Divide: -82529 / 89301 = -82529/89301", "Multiply: (-82529/89301) * 62118 = -100520322/1751"], "final_answer": "-100520322/1751", "answer_type": "rational", "kind": "expression", "math_text": "-82529 / 89301 * 62118", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -82529, \"b\": 89301, \"c\": 62118}", "seed": "6252954431620818647", "semantic_fingerprint": "sha256:c45b91b51a2ae7aacaa1588ff8833e2766d4aac2536df6fb6d805f651c99036d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003791", "prompt": "Calculate: 6055 * 8067 - 4993 / 7028", "solution_steps": ["Multiply: 6055 * 8067 = 48845685", "Divide: 4993 / 7028 = 4993/7028", "Subtract: 48845685 - 4993/7028 = 343287469187/7028"], "final_answer": "343287469187/7028", "answer_type": "rational", "kind": "expression", "math_text": "6055 * 8067 - 4993 / 7028", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6055, \"b\": 8067, \"c\": 4993, \"d\": 7028}", "seed": "16957814896666101002", "semantic_fingerprint": "sha256:da23d0bc1fffbc636de133d66feb1431ce217ab6409ef7e37ae317276b7b9275", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003792", "prompt": "Find x: x = 28(x + 2848) - 75937", "solution_steps": ["Expand: x = 28x + 79744 - 75937", "Combine constants: x = 28x + 3807", "Subtract 28x from both sides: -27x = 3807", "Divide both sides by -27: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 28(x + 2848) - 75937", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 2848, \"d\": -75937, \"x\": -141}", "seed": "320975885902863475", "semantic_fingerprint": "sha256:6df81f614421b879f5f3e8ce823f9fde5ffb4e5b8cd627c5700487bede388514", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003793", "prompt": "Solve the equation 24x + 67215 = x - 13563 for x.", "solution_steps": ["Subtract x from both sides: 23x + 67215 = -13563", "Subtract 67215 from both sides: 23x = -80778", "Divide both sides by 23: x = -80778/23"], "final_answer": "-80778/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x + 67215 = x - 13563", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 67215, \"c\": 13563}", "seed": "2000222863735844400", "semantic_fingerprint": "sha256:04d05921a7afbbf62b8d56913c068cb7aa99b57f1bbb409b7607b714019cd60c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003794", "prompt": "Evaluate: 5680 / (6470 + 92981) - (-2724)", "solution_steps": ["Add: 6470 + 92981 = 99451", "Divide: 5680 / 99451 = 5680/99451", "Subtract: 5680/99451 - (-2724) = 270910204/99451"], "final_answer": "270910204/99451", "answer_type": "rational", "kind": "expression", "math_text": "5680 / (6470 + 92981) - (-2724)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5680, \"b\": 6470, \"c\": 92981, \"d\": -2724}", "seed": "12900374586840250826", "semantic_fingerprint": "sha256:861778c9f85ca0667264f02f8a6f42220e248d6b86fb50fb598610f1643bdca5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003795", "prompt": "Find x: -21(x - 1466) = x + 28234", "solution_steps": ["Expand: -21x + 30786 = x + 28234", "Subtract x from both sides: -22x + 30786 = 28234", "Subtract 30786 from both sides: -22x = -2552", "Divide both sides by -22: x = 116"], "final_answer": "116", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21(x - 1466) = x + 28234", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 1466, \"d\": 28234, \"x\": 116}", "seed": "2614906654571729979", "semantic_fingerprint": "sha256:f820f85d49bf3e56e1afd7d5e530a21df52c513e133d95c1b4d383245f669291", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003796", "prompt": "Compute: 2502 + (-4688) - (-59223)", "solution_steps": ["Add: 2502 + (-4688) = -2186", "Subtract: -2186 - (-59223) = 57037"], "final_answer": "57037", "answer_type": "integer", "kind": "expression", "math_text": "2502 + (-4688) - (-59223)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2502, \"b\": -4688, \"c\": -59223}", "seed": "11349401605134163704", "semantic_fingerprint": "sha256:afe6641e0243512538c68f61418729d7cb39ad4197cd3a611455db21f05aaa4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003797", "prompt": "Compute: 8292 * (-3199 - 89068)", "solution_steps": ["Subtract: -3199 - 89068 = -92267", "Multiply: 8292 * (-92267) = -765077964"], "final_answer": "-765077964", "answer_type": "integer", "kind": "expression", "math_text": "8292 * (-3199 - 89068)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8292, \"b\": -3199, \"c\": 89068}", "seed": "15865469890306820272", "semantic_fingerprint": "sha256:871a3360056be2ab47a5aa177d119faf30e012a2121a37db1a94b095971b40e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003798", "prompt": "Calculate: -7542 / 9921 + (-69957)", "solution_steps": ["Divide: -7542 / 9921 = -2514/3307", "Add: -2514/3307 + (-69957) = -231350313/3307"], "final_answer": "-231350313/3307", "answer_type": "rational", "kind": "expression", "math_text": "-7542 / 9921 + (-69957)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7542, \"b\": 9921, \"c\": -69957}", "seed": "3960459772139337272", "semantic_fingerprint": "sha256:f4cc60d2a463becd6dadd184c4679b6a11ac968a4f976856aa8ea24bf5637608", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003799", "prompt": "Compute: -64661 + (-7575) * (-64721)", "solution_steps": ["Multiply: -7575 * (-64721) = 490261575", "Add: -64661 + 490261575 = 490196914"], "final_answer": "490196914", "answer_type": "integer", "kind": "expression", "math_text": "-64661 + (-7575) * (-64721)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64661, \"b\": -7575, \"c\": -64721}", "seed": "5349685270162493733", "semantic_fingerprint": "sha256:7d16ef9a77ce4444d15cc8e5d1253c77afe60bf30864160e0517ce78b9b02e2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003800", "prompt": "Evaluate: -3590 + (26172 - (-8468)) * (-1715)", "solution_steps": ["Subtract: 26172 - (-8468) = 34640", "Multiply: 34640 * (-1715) = -59407600", "Add: -3590 + (-59407600) = -59411190"], "final_answer": "-59411190", "answer_type": "integer", "kind": "expression", "math_text": "-3590 + (26172 - (-8468)) * (-1715)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3590, \"b\": 26172, \"c\": -8468, \"d\": -1715}", "seed": "11649189166658345127", "semantic_fingerprint": "sha256:71b890d9b0c2e60f6cc379b57524ca1dc9ae749ac069946c67aa7c7dfd6c7a94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003801", "prompt": "Calculate: 5549 * 9159", "solution_steps": ["Multiply: 5549 * 9159 = 50823291"], "final_answer": "50823291", "answer_type": "integer", "kind": "expression", "math_text": "5549 * 9159", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5549, \"b\": 9159}", "seed": "16975366119282450763", "semantic_fingerprint": "sha256:1191f0c8ef8f04e2c3883326c05a0be0da8f2a78c5636d99bfb77977963bcc31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003802", "prompt": "Evaluate: (-4506 * 6491 - 1242 - (4916 - 3347)) / 12388", "solution_steps": ["Multiply: -4506 * 6491 = -29248446", "Subtract: -29248446 - 1242 = -29249688", "Subtract: 4916 - 3347 = 1569", "Subtract: -29249688 - 1569 = -29251257", "Divide: -29251257 / 12388 = -29251257/12388"], "final_answer": "-29251257/12388", "answer_type": "rational", "kind": "expression", "math_text": "(-4506 * 6491 - 1242 - (4916 - 3347)) / 12388", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (* n n) n) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4506, \"b\": 6491, \"c\": 1242, \"d\": 4916, \"e\": 3347, \"f\": 12388}", "seed": "7099912723116624333", "semantic_fingerprint": "sha256:58a70e475f2ca600d3c5c536a62809567a72c35664034e0f5cbc68d314a553fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003803", "prompt": "Compute: (-3113 + (-4530)) * (2386 + (-6169)) - (-55829)", "solution_steps": ["Add: -3113 + (-4530) = -7643", "Add: 2386 + (-6169) = -3783", "Multiply: -7643 * (-3783) = 28913469", "Subtract: 28913469 - (-55829) = 28969298"], "final_answer": "28969298", "answer_type": "integer", "kind": "expression", "math_text": "(-3113 + (-4530)) * (2386 + (-6169)) - (-55829)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3113, \"b\": -4530, \"c\": 2386, \"d\": -6169, \"e\": -55829}", "seed": "10270397017477982251", "semantic_fingerprint": "sha256:fe28720a9b068da214674fae11d4f54f5653a251fecab77a08e0fc10b167a327", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003804", "prompt": "Calculate: -4639 * (-2411) + 6972", "solution_steps": ["Multiply: -4639 * (-2411) = 11184629", "Add: 11184629 + 6972 = 11191601"], "final_answer": "11191601", "answer_type": "integer", "kind": "expression", "math_text": "-4639 * (-2411) + 6972", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4639, \"b\": -2411, \"c\": 6972}", "seed": "10248519602326138755", "semantic_fingerprint": "sha256:e08956eea653cf2c3bf8f2322636e069ea0abc05e00bfec7c73a4be7ba68b6f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003805", "prompt": "Find x: -29x = x", "solution_steps": ["Subtract x from both sides: -30x = 0", "Divide both sides by -30: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29}", "seed": "10046662227304230725", "semantic_fingerprint": "sha256:bffa6ed80b4d635cedac8b7061682b3f460640b407c1cef71f31d9ca12bde8e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003806", "prompt": "Compute: 5790 - 2577", "solution_steps": ["Subtract: 5790 - 2577 = 3213"], "final_answer": "3213", "answer_type": "integer", "kind": "expression", "math_text": "5790 - 2577", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5790, \"b\": 2577}", "seed": "4489886864965284903", "semantic_fingerprint": "sha256:65b129a9774452b8f7f623a5a0f08408bcf475b9ec362c088e7b3852ce0f464e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003807", "prompt": "Solve for x: x = 19(x + 4558)", "solution_steps": ["Expand: x = 19x + 86602", "Subtract 19x from both sides: -18x = 86602", "Divide both sides by -18: x = -43301/9"], "final_answer": "-43301/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 19(x + 4558)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 4558}", "seed": "10809236894739164549", "semantic_fingerprint": "sha256:0c4f450e83e89f85c1760b605512c842842c351bfcdca1739664c1107c145005", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003808", "prompt": "Evaluate: (41755 - 7448) * (-27365)", "solution_steps": ["Subtract: 41755 - 7448 = 34307", "Multiply: 34307 * (-27365) = -938811055"], "final_answer": "-938811055", "answer_type": "integer", "kind": "expression", "math_text": "(41755 - 7448) * (-27365)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41755, \"b\": 7448, \"c\": -27365}", "seed": "12720438938307672112", "semantic_fingerprint": "sha256:9bbe1a17d1ac5d5ee208217c56a61c6f2164e942527d4c47537842d72b91a6dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003809", "prompt": "Solve for x: 22x = -17(x - 1286) - 15037", "solution_steps": ["Expand: 22x = -17x + 21862 - 15037", "Combine constants: 22x = -17x + 6825", "Add 17x to both sides: 39x = 6825", "Divide both sides by 39: x = 175"], "final_answer": "175", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x = -17(x - 1286) - 15037", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": -17, \"c\": 1286, \"e\": -15037, \"x\": 175}", "seed": "17577266519269714463", "semantic_fingerprint": "sha256:db31d59b5c14b5cee13362dad6b19fadc5de697020c4434facc28dd28cf368f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003810", "prompt": "Find x: 28x - 8571 = x - 5034", "solution_steps": ["Subtract x from both sides: 27x - 8571 = -5034", "Add 8571 to both sides: 27x = 3537", "Divide both sides by 27: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x - 8571 = x - 5034", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 8571, \"d\": -5034, \"x\": 131}", "seed": "14351937351101205058", "semantic_fingerprint": "sha256:a53932462fd1c80ddd047c1bf6f148e244370a12c8f34caa90f8a64be5c4e096", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003811", "prompt": "What is -4614 + (5927 - 9666) * 97460?", "solution_steps": ["Subtract: 5927 - 9666 = -3739", "Multiply: -3739 * 97460 = -364402940", "Add: -4614 + (-364402940) = -364407554"], "final_answer": "-364407554", "answer_type": "integer", "kind": "expression", "math_text": "-4614 + (5927 - 9666) * 97460", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4614, \"b\": 5927, \"c\": 9666, \"d\": 97460}", "seed": "3527187910771479842", "semantic_fingerprint": "sha256:823c31af20391ace4da261f85bfd3a4571322142085025750f0ccc2fc5cc9d9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003812", "prompt": "What value of x satisfies 32(x - 8896) = x?", "solution_steps": ["Expand: 32x - 284672 = x", "Subtract x from both sides: 31x - 284672 = 0", "Add 284672 to both sides: 31x = 284672", "Divide both sides by 31: x = 284672/31"], "final_answer": "284672/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 8896) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 8896}", "seed": "5201397679950012337", "semantic_fingerprint": "sha256:4eaf11eb76a957b39e71d66be7f14d76d3265ccb3fb3ebf5f3acf3c6adf314a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003813", "prompt": "Solve for x: -29(x + 4863) + 78326 = -25(x + 3695) + 30206", "solution_steps": ["Expand: -29x - 141027 + 78326 = -25(x + 3695) + 30206", "Expand: -29x - 141027 + 78326 = -25x - 92375 + 30206", "Combine constants: -29x - 62701 = -25x - 92375 + 30206", "Combine constants: -29x - 62701 = -25x - 62169", "Add 25x to both sides: -4x - 62701 = -62169", "Add 62701 to both sides: -4x = 532", "Divide both sides by -4: x = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29(x + 4863) + 78326 = -25(x + 3695) + 30206", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 4863, \"c\": 78326, \"d\": -25, \"e\": 3695, \"g\": 30206, \"x\": -133}", "seed": "8204839757081038702", "semantic_fingerprint": "sha256:4beb18e8ade85b294220d0ae02486f44dc3065cbb22f8a1a272b28c4d76d6c27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003814", "prompt": "Calculate: 1442 / 3836 * (-61032 + (4262 - 13481))", "solution_steps": ["Divide: 1442 / 3836 = 103/274", "Subtract: 4262 - 13481 = -9219", "Add: -61032 + (-9219) = -70251", "Multiply: (103/274) * (-70251) = -7235853/274"], "final_answer": "-7235853/274", "answer_type": "rational", "kind": "expression", "math_text": "1442 / 3836 * (-61032 + (4262 - 13481))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1442, \"b\": 3836, \"c\": -61032, \"d\": 4262, \"e\": 13481}", "seed": "6245379637715985133", "semantic_fingerprint": "sha256:b3f42c7ba4cfac9f1a75ea75906bcf4fb96905d54a54401c1714b27781ad5379", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003815", "prompt": "What value of x satisfies 19x + 1155 = 18(x + 4614) - 81847?", "solution_steps": ["Expand: 19x + 1155 = 18x + 83052 - 81847", "Combine constants: 19x + 1155 = 18x + 1205", "Subtract 18x from both sides: x + 1155 = 1205", "Subtract 1155 from both sides: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 1155 = 18(x + 4614) - 81847", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 1155, \"c\": 18, \"d\": 4614, \"f\": -81847, \"x\": 50}", "seed": "3904248503458146340", "semantic_fingerprint": "sha256:9bdbd0eef629e2f79b1c3b395f9f367d4c92c8ea78a66bf0aff48630575dd348", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003816", "prompt": "Compute: 99837 - (-3199) / 60276", "solution_steps": ["Divide: -3199 / 60276 = -3199/60276", "Subtract: 99837 - (-3199/60276) = 6017778211/60276"], "final_answer": "6017778211/60276", "answer_type": "rational", "kind": "expression", "math_text": "99837 - (-3199) / 60276", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 99837, \"b\": -3199, \"c\": 60276}", "seed": "1390285993840367858", "semantic_fingerprint": "sha256:c92699f38a6291e1a4b0332cc37a54aac0c2f15ee597c1db7d7cc909b7a40e08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003817", "prompt": "Find x: 39(x + 5229) - 27904 = 20(x + 5707) - 72212", "solution_steps": ["Expand: 39x + 203931 - 27904 = 20(x + 5707) - 72212", "Expand: 39x + 203931 - 27904 = 20x + 114140 - 72212", "Combine constants: 39x + 176027 = 20x + 114140 - 72212", "Combine constants: 39x + 176027 = 20x + 41928", "Subtract 20x from both sides: 19x + 176027 = 41928", "Subtract 176027 from both sides: 19x = -134099", "Divide both sides by 19: x = -134099/19"], "final_answer": "-134099/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 5229) - 27904 = 20(x + 5707) - 72212", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5229, \"c\": 27904, \"d\": 20, \"e\": 5707, \"f\": 72212}", "seed": "4674544905025156664", "semantic_fingerprint": "sha256:2e6695b253d106e7832844069bd21da1c94637b0694fd588c859a320b04e9df2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003818", "prompt": "Solve for x: -35x - 63505 = -40(x + 1567)", "solution_steps": ["Expand: -35x - 63505 = -40x - 62680", "Add 40x to both sides: 5x - 63505 = -62680", "Add 63505 to both sides: 5x = 825", "Divide both sides by 5: x = 165"], "final_answer": "165", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x - 63505 = -40(x + 1567)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": -40, \"c\": 1567, \"e\": -63505, \"x\": 165}", "seed": "4461637585730713730", "semantic_fingerprint": "sha256:d6317c8ee2e97280f0e3978291f4767bb5ad151717db9fb2220c1525f87592ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003819", "prompt": "Evaluate: 38211 / (-88468 - 5880)", "solution_steps": ["Subtract: -88468 - 5880 = -94348", "Divide: 38211 / (-94348) = -38211/94348"], "final_answer": "-38211/94348", "answer_type": "rational", "kind": "expression", "math_text": "38211 / (-88468 - 5880)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38211, \"b\": -88468, \"c\": 5880}", "seed": "12014687360013743837", "semantic_fingerprint": "sha256:b16cda708d0d69a74027cd3aa61ddd0f2e42753fe63ed80df5f1f258e12a7b02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003820", "prompt": "Compute: 9755 * (-5450) + 4831 - 7110", "solution_steps": ["Multiply: 9755 * (-5450) = -53164750", "Add: -53164750 + 4831 = -53159919", "Subtract: -53159919 - 7110 = -53167029"], "final_answer": "-53167029", "answer_type": "integer", "kind": "expression", "math_text": "9755 * (-5450) + 4831 - 7110", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9755, \"b\": -5450, \"c\": 4831, \"d\": 7110}", "seed": "17891949994057960815", "semantic_fingerprint": "sha256:d6cafecaf10f0c25eb68cfb101fdd6b46449cae8d8f6b430622a55614682e99c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003821", "prompt": "Calculate: -91155 / 5141 * (-4667)", "solution_steps": ["Divide: -91155 / 5141 = -91155/5141", "Multiply: (-91155/5141) * (-4667) = 425420385/5141"], "final_answer": "425420385/5141", "answer_type": "rational", "kind": "expression", "math_text": "-91155 / 5141 * (-4667)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91155, \"b\": 5141, \"c\": -4667}", "seed": "13863770713224145562", "semantic_fingerprint": "sha256:92e18c7161710fa5c76913a69c76acb7eb282a63e94ad4557a0f8ecadd0869ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003822", "prompt": "Evaluate: (-8201 + 5061 * 9015) * (-20745 / 98884)", "solution_steps": ["Multiply: 5061 * 9015 = 45624915", "Add: -8201 + 45624915 = 45616714", "Divide: -20745 / 98884 = -20745/98884", "Multiply: 45616714 * (-20745/98884) = -473159365965/49442"], "final_answer": "-473159365965/49442", "answer_type": "rational", "kind": "expression", "math_text": "(-8201 + 5061 * 9015) * (-20745 / 98884)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8201, \"b\": 5061, \"c\": 9015, \"d\": -20745, \"e\": 98884}", "seed": "870940758453156077", "semantic_fingerprint": "sha256:bf8c5e6ba4394db0011cd49ac565b4c722f2d0f800ebd28d329182afb42463be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003823", "prompt": "Evaluate: 7972 + (-2647 - 81165)", "solution_steps": ["Subtract: -2647 - 81165 = -83812", "Add: 7972 + (-83812) = -75840"], "final_answer": "-75840", "answer_type": "integer", "kind": "expression", "math_text": "7972 + (-2647 - 81165)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7972, \"b\": -2647, \"c\": 81165}", "seed": "10981430566740143918", "semantic_fingerprint": "sha256:9cf072dc5c8cc321c102e0305894b5897fc65d5c80b26054c961c5f16683434d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003824", "prompt": "Calculate: -2283 / (-4483) + 4440", "solution_steps": ["Divide: -2283 / (-4483) = 2283/4483", "Add: 2283/4483 + 4440 = 19906803/4483"], "final_answer": "19906803/4483", "answer_type": "rational", "kind": "expression", "math_text": "-2283 / (-4483) + 4440", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2283, \"b\": -4483, \"c\": 4440}", "seed": "7314270865289169652", "semantic_fingerprint": "sha256:78aeaedbfccd24d5433e2bcd045ab8994807611ca64f379c4b2fa57f83e02c28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003825", "prompt": "Solve for x: -26x + 1703 = x - 2941", "solution_steps": ["Subtract x from both sides: -27x + 1703 = -2941", "Subtract 1703 from both sides: -27x = -4644", "Divide both sides by -27: x = 172"], "final_answer": "172", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x + 1703 = x - 2941", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 1703, \"d\": -2941, \"x\": 172}", "seed": "3845244911762216719", "semantic_fingerprint": "sha256:376df58f9fcd50d83a4a974e8e2c8c4da6b968da8fd2579e670d08c80149bc58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003826", "prompt": "Compute: -2914 - (-80905) / (60610 + (-5273))", "solution_steps": ["Add: 60610 + (-5273) = 55337", "Divide: -80905 / 55337 = -80905/55337", "Subtract: -2914 - (-80905/55337) = -161171113/55337"], "final_answer": "-161171113/55337", "answer_type": "rational", "kind": "expression", "math_text": "-2914 - (-80905) / (60610 + (-5273))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2914, \"b\": -80905, \"c\": 60610, \"d\": -5273}", "seed": "2924284717383514132", "semantic_fingerprint": "sha256:a5ea2fc00e79002eb8f8de00951eeb8af69e8e0359933e3ba2b080593780c17f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003827", "prompt": "What is (-6511 - 9071) / 8236 - 7411 - 76567 + 51886?", "solution_steps": ["Subtract: -6511 - 9071 = -15582", "Divide: -15582 / 8236 = -7791/4118", "Subtract: -7791/4118 - 7411 = -30526289/4118", "Subtract: -30526289/4118 - 76567 = -345829195/4118", "Add: -345829195/4118 + 51886 = -132162647/4118"], "final_answer": "-132162647/4118", "answer_type": "rational", "kind": "expression", "math_text": "(-6511 - 9071) / 8236 - 7411 - 76567 + 51886", "variable": null, "family": "expression_5op", "shape": "(+ (- (- (/ (- n n) n) n) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6511, \"b\": 9071, \"c\": 8236, \"d\": 7411, \"e\": 76567, \"f\": 51886}", "seed": "10346248904430921410", "semantic_fingerprint": "sha256:a226517389f94b01f4b61e61e811a3c531bf99f154fba254946057df82cb1d3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003828", "prompt": "Solve the equation -40(x - 3007) = -29x for x.", "solution_steps": ["Expand: -40x + 120280 = -29x", "Add 29x to both sides: -11x + 120280 = 0", "Subtract 120280 from both sides: -11x = -120280", "Divide both sides by -11: x = 120280/11"], "final_answer": "120280/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 3007) = -29x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 3007, \"c\": -29}", "seed": "2747657085633791283", "semantic_fingerprint": "sha256:3b8fd6f1965fe287dc167b5637b8f6eb317fafa936bedc22a7247d66962ed16f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003829", "prompt": "Compute: (56168 + (-60034)) / 6414", "solution_steps": ["Add: 56168 + (-60034) = -3866", "Divide: -3866 / 6414 = -1933/3207"], "final_answer": "-1933/3207", "answer_type": "rational", "kind": "expression", "math_text": "(56168 + (-60034)) / 6414", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56168, \"b\": -60034, \"c\": 6414}", "seed": "5285466723405170490", "semantic_fingerprint": "sha256:03ee32c7d5a6b7733ae33904c8fe315b0055e67003ec5847124afde1a10fe804", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003830", "prompt": "Solve for x: x - 85652 = 36(x + 5046)", "solution_steps": ["Expand: x - 85652 = 36x + 181656", "Subtract 36x from both sides: -35x - 85652 = 181656", "Add 85652 to both sides: -35x = 267308", "Divide both sides by -35: x = -267308/35"], "final_answer": "-267308/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 85652 = 36(x + 5046)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 85652, \"b\": 36, \"c\": 5046}", "seed": "822376468284951546", "semantic_fingerprint": "sha256:e650029f629857a67cbe3e6228cfea7b93b1ef517535044de42e486011352744", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003831", "prompt": "Find x: 18(x + 14873) + 4489 = 19x - 7895", "solution_steps": ["Expand: 18x + 267714 + 4489 = 19x - 7895", "Combine constants: 18x + 272203 = 19x - 7895", "Subtract 19x from both sides: -x + 272203 = -7895", "Subtract 272203 from both sides: -x = -280098", "Divide both sides by -1: x = 280098"], "final_answer": "280098", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 14873) + 4489 = 19x - 7895", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 14873, \"c\": 4489, \"d\": 19, \"e\": 7895}", "seed": "15354495999688039191", "semantic_fingerprint": "sha256:bb53eef9bd8d4aa26bd4e443a832ded7f2dd268af97dce9425b5f1ef897855fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003832", "prompt": "Evaluate: -3096 / 66627 * (-60741 - (-56481)) + (-27075)", "solution_steps": ["Divide: -3096 / 66627 = -344/7403", "Subtract: -60741 - (-56481) = -4260", "Multiply: (-344/7403) * (-4260) = 1465440/7403", "Add: 1465440/7403 + (-27075) = -198970785/7403"], "final_answer": "-198970785/7403", "answer_type": "rational", "kind": "expression", "math_text": "-3096 / 66627 * (-60741 - (-56481)) + (-27075)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3096, \"b\": 66627, \"c\": -60741, \"d\": -56481, \"e\": -27075}", "seed": "6730506122455529526", "semantic_fingerprint": "sha256:55483db366121eb3f989c85e5ccca68ce63592e74e54a5240c42d43cc21c6a82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003833", "prompt": "Calculate: -8239 + (4434 - 1260)", "solution_steps": ["Subtract: 4434 - 1260 = 3174", "Add: -8239 + 3174 = -5065"], "final_answer": "-5065", "answer_type": "integer", "kind": "expression", "math_text": "-8239 + (4434 - 1260)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8239, \"b\": 4434, \"c\": 1260}", "seed": "15006707777643917866", "semantic_fingerprint": "sha256:a4d8b11f96e12e1508e0d9c495f2a450ee7f5f222db8d7df64d0895ef897f39b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003834", "prompt": "What is 9508 - 28384?", "solution_steps": ["Subtract: 9508 - 28384 = -18876"], "final_answer": "-18876", "answer_type": "integer", "kind": "expression", "math_text": "9508 - 28384", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9508, \"b\": 28384}", "seed": "12541206840195296999", "semantic_fingerprint": "sha256:e873a001f7fe83864d60dec40549b2a8d91dec2b18ea56d8cd65bfeb41237d59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003835", "prompt": "Calculate: 3278 * (-1610)", "solution_steps": ["Multiply: 3278 * (-1610) = -5277580"], "final_answer": "-5277580", "answer_type": "integer", "kind": "expression", "math_text": "3278 * (-1610)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3278, \"b\": -1610}", "seed": "1740470847679684889", "semantic_fingerprint": "sha256:0b55a0cf376ec5f8ed63ab50b930953dd2099a0eef4a8c9952ff1ef53dacffbc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003836", "prompt": "Compute: -3791 + 81545 / 81063 - (-1183)", "solution_steps": ["Divide: 81545 / 81063 = 81545/81063", "Add: -3791 + 81545/81063 = -307228288/81063", "Subtract: -307228288/81063 - (-1183) = -211330759/81063"], "final_answer": "-211330759/81063", "answer_type": "rational", "kind": "expression", "math_text": "-3791 + 81545 / 81063 - (-1183)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3791, \"b\": 81545, \"c\": 81063, \"d\": -1183}", "seed": "13980944538686391035", "semantic_fingerprint": "sha256:785f07e6e14f3bd7357ffac63dfd4ad3814d9feed0da1f778a8ca60f00be574d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003837", "prompt": "Compute: 9887 * (-7301) - 6752", "solution_steps": ["Multiply: 9887 * (-7301) = -72184987", "Subtract: -72184987 - 6752 = -72191739"], "final_answer": "-72191739", "answer_type": "integer", "kind": "expression", "math_text": "9887 * (-7301) - 6752", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9887, \"b\": -7301, \"c\": 6752}", "seed": "1804494521760890616", "semantic_fingerprint": "sha256:659de41ff3b6be14a20899546fccd404b2e7af61579900dc3029231d6f8001ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003838", "prompt": "Evaluate: -71611 + (-7090)", "solution_steps": ["Add: -71611 + (-7090) = -78701"], "final_answer": "-78701", "answer_type": "integer", "kind": "expression", "math_text": "-71611 + (-7090)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -71611, \"b\": -7090}", "seed": "6688793465466777456", "semantic_fingerprint": "sha256:e09aff92b1972921a02072acd14781412b19a58eaacb2cc75487899df544b8f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003839", "prompt": "What is 3889 * (-7913 - 13419)?", "solution_steps": ["Subtract: -7913 - 13419 = -21332", "Multiply: 3889 * (-21332) = -82960148"], "final_answer": "-82960148", "answer_type": "integer", "kind": "expression", "math_text": "3889 * (-7913 - 13419)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3889, \"b\": -7913, \"c\": 13419}", "seed": "10342397460186524704", "semantic_fingerprint": "sha256:432a26967a54c3bed9fb05a1e0038367bc56ed574cc674c623cd6180f37264fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003840", "prompt": "Compute: 3426 * (-2562 - 60557) - (58007 + (-4722))", "solution_steps": ["Subtract: -2562 - 60557 = -63119", "Multiply: 3426 * (-63119) = -216245694", "Add: 58007 + (-4722) = 53285", "Subtract: -216245694 - 53285 = -216298979"], "final_answer": "-216298979", "answer_type": "integer", "kind": "expression", "math_text": "3426 * (-2562 - 60557) - (58007 + (-4722))", "variable": null, "family": "expression_4op", "shape": "(- (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3426, \"b\": -2562, \"c\": 60557, \"d\": 58007, \"e\": -4722}", "seed": "9640638466418229877", "semantic_fingerprint": "sha256:0ba25f151001b28de0cfa5f5e3810eb9af0721b5a415ad0574dd786c0ab85bd7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003841", "prompt": "What is 9056 - (-3215) * 4743 + 85276?", "solution_steps": ["Multiply: -3215 * 4743 = -15248745", "Subtract: 9056 - (-15248745) = 15257801", "Add: 15257801 + 85276 = 15343077"], "final_answer": "15343077", "answer_type": "integer", "kind": "expression", "math_text": "9056 - (-3215) * 4743 + 85276", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9056, \"b\": -3215, \"c\": 4743, \"d\": 85276}", "seed": "9832150838934183834", "semantic_fingerprint": "sha256:39250643a6a073c20745de236b5632e9407b3ba8d120ae071777fba6e201fdee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003842", "prompt": "Solve for x: x = 20x + 1577", "solution_steps": ["Subtract 20x from both sides: -19x = 1577", "Divide both sides by -19: x = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 20x + 1577", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 1577, \"x\": -83}", "seed": "10297685894316008901", "semantic_fingerprint": "sha256:57b466eebb6a42d41367bc7ee498a872b5f47e9f5c919614b78c412663c8a53b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003843", "prompt": "What is (8826 + 72236) / 36360?", "solution_steps": ["Add: 8826 + 72236 = 81062", "Divide: 81062 / 36360 = 40531/18180"], "final_answer": "40531/18180", "answer_type": "rational", "kind": "expression", "math_text": "(8826 + 72236) / 36360", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8826, \"b\": 72236, \"c\": 36360}", "seed": "18125055509826414046", "semantic_fingerprint": "sha256:4dc8e28c269f9a2ab221ac0dfe49c91661c47d80386860f7c51c8f0853b7f9be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003844", "prompt": "Solve for x: 16(x + 3492) + 96154 = 33x - 1188", "solution_steps": ["Expand: 16x + 55872 + 96154 = 33x - 1188", "Combine constants: 16x + 152026 = 33x - 1188", "Subtract 33x from both sides: -17x + 152026 = -1188", "Subtract 152026 from both sides: -17x = -153214", "Divide both sides by -17: x = 153214/17"], "final_answer": "153214/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 3492) + 96154 = 33x - 1188", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3492, \"c\": 96154, \"d\": 33, \"e\": 1188}", "seed": "2783586858595922270", "semantic_fingerprint": "sha256:78632f8f1527f91e1ae2c42e5afba96f39fdb1cce4caeddeb63873f108b49bd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003845", "prompt": "What value of x satisfies x = -17x + 98640?", "solution_steps": ["Add 17x to both sides: 18x = 98640", "Divide both sides by 18: x = 5480"], "final_answer": "5480", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -17x + 98640", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 98640}", "seed": "6726215659970334989", "semantic_fingerprint": "sha256:9cc5f5d75fd67abc84f41f72d18a113b915085198f23f5adb0ea435c95659d93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003846", "prompt": "Calculate: 8827 / (-17111)", "solution_steps": ["Divide: 8827 / (-17111) = -8827/17111"], "final_answer": "-8827/17111", "answer_type": "rational", "kind": "expression", "math_text": "8827 / (-17111)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8827, \"b\": -17111}", "seed": "14755061134190400118", "semantic_fingerprint": "sha256:952d31ec841cf9863f312b7cd6a629262894d47579e6452dfe6c8ce6aa2ae918", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003847", "prompt": "Compute: 68068 / 3382", "solution_steps": ["Divide: 68068 / 3382 = 34034/1691"], "final_answer": "34034/1691", "answer_type": "rational", "kind": "expression", "math_text": "68068 / 3382", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 68068, \"b\": 3382}", "seed": "9851362867901664935", "semantic_fingerprint": "sha256:154fe54d0423ac290c244e6b557bd8281b0e3cff4c9d2e67470e678902833bb9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003848", "prompt": "Compute: -46777 + (-9752) - 6303", "solution_steps": ["Add: -46777 + (-9752) = -56529", "Subtract: -56529 - 6303 = -62832"], "final_answer": "-62832", "answer_type": "integer", "kind": "expression", "math_text": "-46777 + (-9752) - 6303", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46777, \"b\": -9752, \"c\": 6303}", "seed": "12640520533237264922", "semantic_fingerprint": "sha256:fc6e0e322615116f2f3c63bbb03a91437752afaf584cff86f990cdc465bfdd3f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003849", "prompt": "Calculate: -6594 * (-4173 + 4110) - (-4270) - (-90545) / (-1563)", "solution_steps": ["Add: -4173 + 4110 = -63", "Multiply: -6594 * (-63) = 415422", "Subtract: 415422 - (-4270) = 419692", "Divide: -90545 / (-1563) = 90545/1563", "Subtract: 419692 - 90545/1563 = 655888051/1563"], "final_answer": "655888051/1563", "answer_type": "rational", "kind": "expression", "math_text": "-6594 * (-4173 + 4110) - (-4270) - (-90545) / (-1563)", "variable": null, "family": "expression_5op", "shape": "(- (- (* n (+ n n)) n) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6594, \"b\": -4173, \"c\": 4110, \"d\": -4270, \"e\": -90545, \"f\": -1563}", "seed": "10098017603856904286", "semantic_fingerprint": "sha256:f5c45260f0826a5b44968d582e985734fc8e6c411713ab04d190292f1320c946", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003850", "prompt": "Solve for x: x - 63673 = -63776", "solution_steps": ["Add 63673 to both sides: x = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 63673 = -63776", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63673, \"c\": -63776, \"x\": -103}", "seed": "16500022781974025301", "semantic_fingerprint": "sha256:cf4d87932da7587eb170c27efd038c12e769bc0e955010fce275ca71018c5be4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003851", "prompt": "Evaluate: 4812 / 87980 + (-58912) - (-4092)", "solution_steps": ["Divide: 4812 / 87980 = 1203/21995", "Add: 1203/21995 + (-58912) = -1295768237/21995", "Subtract: -1295768237/21995 - (-4092) = -1205764697/21995"], "final_answer": "-1205764697/21995", "answer_type": "rational", "kind": "expression", "math_text": "4812 / 87980 + (-58912) - (-4092)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4812, \"b\": 87980, \"c\": -58912, \"d\": -4092}", "seed": "14689925781994920523", "semantic_fingerprint": "sha256:0871fbfdd1c5a5e8e57a7f412c69b878e7cab89ebaebaeb7f70030aa70639050", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003852", "prompt": "Find x: -30(x - 42217) - 30679 = 13(x + 81974)", "solution_steps": ["Expand: -30x + 1266510 - 30679 = 13(x + 81974)", "Expand: -30x + 1266510 - 30679 = 13x + 1065662", "Combine constants: -30x + 1235831 = 13x + 1065662", "Subtract 13x from both sides: -43x + 1235831 = 1065662", "Subtract 1235831 from both sides: -43x = -170169", "Divide both sides by -43: x = 170169/43"], "final_answer": "170169/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x - 42217) - 30679 = 13(x + 81974)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 42217, \"c\": 30679, \"d\": 13, \"e\": 81974}", "seed": "18446264992670286395", "semantic_fingerprint": "sha256:7d37852a84ba3cc3d7b93e434590fea92e542d3d4ba9643b01688939ead82c25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003853", "prompt": "Evaluate: -3201 * (-9100)", "solution_steps": ["Multiply: -3201 * (-9100) = 29129100"], "final_answer": "29129100", "answer_type": "integer", "kind": "expression", "math_text": "-3201 * (-9100)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3201, \"b\": -9100}", "seed": "15463971798335833501", "semantic_fingerprint": "sha256:c6e697a5b662085ccf3f5bfff3a9759985995ae5eecd924049c81dbb35353cc4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003854", "prompt": "What is (1909 + 3564) * 96910?", "solution_steps": ["Add: 1909 + 3564 = 5473", "Multiply: 5473 * 96910 = 530388430"], "final_answer": "530388430", "answer_type": "integer", "kind": "expression", "math_text": "(1909 + 3564) * 96910", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1909, \"b\": 3564, \"c\": 96910}", "seed": "15990623375081829759", "semantic_fingerprint": "sha256:662f62f7f57baa1fc135131f3bbce25fb8d250595a69d541f067a6eac7b4f5cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003855", "prompt": "Compute: -2717 - (-78194) + 7874", "solution_steps": ["Subtract: -2717 - (-78194) = 75477", "Add: 75477 + 7874 = 83351"], "final_answer": "83351", "answer_type": "integer", "kind": "expression", "math_text": "-2717 - (-78194) + 7874", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2717, \"b\": -78194, \"c\": 7874}", "seed": "11829186871903714626", "semantic_fingerprint": "sha256:5a460e6e98e7af2231767ad0f8c8e74141a66ff64df568c9d9cafd6e0c1145b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003856", "prompt": "What value of x satisfies 40x - 50999 = 26(x - 10862) - 49796?", "solution_steps": ["Expand: 40x - 50999 = 26x - 282412 - 49796", "Combine constants: 40x - 50999 = 26x - 332208", "Subtract 26x from both sides: 14x - 50999 = -332208", "Add 50999 to both sides: 14x = -281209", "Divide both sides by 14: x = -281209/14"], "final_answer": "-281209/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x - 50999 = 26(x - 10862) - 49796", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 50999, \"c\": 26, \"d\": 10862, \"e\": 49796}", "seed": "18005942572969878870", "semantic_fingerprint": "sha256:c2b6b80f8eb62d3b0cc80c84fb52c0aebe162b0529cb918b163b9d6082b078ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003857", "prompt": "What is -4938 / 9900 + (-55468)?", "solution_steps": ["Divide: -4938 / 9900 = -823/1650", "Add: -823/1650 + (-55468) = -91523023/1650"], "final_answer": "-91523023/1650", "answer_type": "rational", "kind": "expression", "math_text": "-4938 / 9900 + (-55468)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4938, \"b\": 9900, \"c\": -55468}", "seed": "15009214954378171629", "semantic_fingerprint": "sha256:21a61041acac42e5e2b66431ef36314b78bfa0e3e081d2c1318887951995e6bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003858", "prompt": "Calculate: -51159 / (-61438)", "solution_steps": ["Divide: -51159 / (-61438) = 51159/61438"], "final_answer": "51159/61438", "answer_type": "rational", "kind": "expression", "math_text": "-51159 / (-61438)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -51159, \"b\": -61438}", "seed": "16711281969831327164", "semantic_fingerprint": "sha256:38fdf1475b0894f1b311c00e87015c6a39ac67c7384a4732fc28072535824250", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003859", "prompt": "Evaluate: 10390 / (57161 + 23387) * 41829", "solution_steps": ["Add: 57161 + 23387 = 80548", "Divide: 10390 / 80548 = 5195/40274", "Multiply: (5195/40274) * 41829 = 217301655/40274"], "final_answer": "217301655/40274", "answer_type": "rational", "kind": "expression", "math_text": "10390 / (57161 + 23387) * 41829", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 10390, \"b\": 57161, \"c\": 23387, \"d\": 41829}", "seed": "10552188604187091178", "semantic_fingerprint": "sha256:4f9d3f5d25481acd8f2f19b0f1df6f2c949f429428fc2c48aa4900bff8311f29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003860", "prompt": "Evaluate: (-83354 + 1481 - (-52917) / 8810) / (4374 + (-4379))", "solution_steps": ["Add: -83354 + 1481 = -81873", "Divide: -52917 / 8810 = -52917/8810", "Subtract: -81873 - (-52917/8810) = -721248213/8810", "Add: 4374 + (-4379) = -5", "Divide: (-721248213/8810) / (-5) = 721248213/44050"], "final_answer": "721248213/44050", "answer_type": "rational", "kind": "expression", "math_text": "(-83354 + 1481 - (-52917) / 8810) / (4374 + (-4379))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -83354, \"b\": 1481, \"c\": -52917, \"d\": 8810, \"e\": 4374, \"f\": -4379}", "seed": "13733629554892137213", "semantic_fingerprint": "sha256:6429e199245fe4240f919a7cfd78151f2c83b6c3cf1eab7c8d10b9d713fb1f80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003861", "prompt": "Evaluate: 9798 * 5503", "solution_steps": ["Multiply: 9798 * 5503 = 53918394"], "final_answer": "53918394", "answer_type": "integer", "kind": "expression", "math_text": "9798 * 5503", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9798, \"b\": 5503}", "seed": "13849185587569970557", "semantic_fingerprint": "sha256:735aeedb4e8504a3dddcb7e15441815d2ac512987849f7a426603a54f55c9442", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003862", "prompt": "Compute: -8760 - 56703 - (-2970)", "solution_steps": ["Subtract: -8760 - 56703 = -65463", "Subtract: -65463 - (-2970) = -62493"], "final_answer": "-62493", "answer_type": "integer", "kind": "expression", "math_text": "-8760 - 56703 - (-2970)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8760, \"b\": 56703, \"c\": -2970}", "seed": "17862384281605212333", "semantic_fingerprint": "sha256:4b495b888e77476a13ecb6e75170ecfcc819b97fa24845827d1f8bd35548966e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003863", "prompt": "What is 4401 - (-3918) - 8154?", "solution_steps": ["Subtract: 4401 - (-3918) = 8319", "Subtract: 8319 - 8154 = 165"], "final_answer": "165", "answer_type": "integer", "kind": "expression", "math_text": "4401 - (-3918) - 8154", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4401, \"b\": -3918, \"c\": 8154}", "seed": "8871993324665593101", "semantic_fingerprint": "sha256:73a24def699729409a7f424867a9360461c626f79ec1d78b478ebd767f086041", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003864", "prompt": "Solve the equation -39x + 8027 = -33x + 7445 for x.", "solution_steps": ["Add 33x to both sides: -6x + 8027 = 7445", "Subtract 8027 from both sides: -6x = -582", "Divide both sides by -6: x = 97"], "final_answer": "97", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x + 8027 = -33x + 7445", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 8027, \"c\": -33, \"e\": 7445, \"x\": 97}", "seed": "13913546903847919318", "semantic_fingerprint": "sha256:dacfba67f76195fd5444a1fe77020f8ea6d313f3d0ae1a5a2776a4faab2182f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003865", "prompt": "Solve for x: 39(x - 1320) = 5790", "solution_steps": ["Expand: 39x - 51480 = 5790", "Add 51480 to both sides: 39x = 57270", "Divide both sides by 39: x = 19090/13"], "final_answer": "19090/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 1320) = 5790", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 1320, \"c\": 5790}", "seed": "4076488131175536001", "semantic_fingerprint": "sha256:fca714c622f8db26ae8bcfec0488dc718ee33fb8706909ee61a65b635605cc6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003866", "prompt": "What value of x satisfies -13(x - 3158) - 37834 = 22x?", "solution_steps": ["Expand: -13x + 41054 - 37834 = 22x", "Combine constants: -13x + 3220 = 22x", "Subtract 22x from both sides: -35x + 3220 = 0", "Subtract 3220 from both sides: -35x = -3220", "Divide both sides by -35: x = 92"], "final_answer": "92", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x - 3158) - 37834 = 22x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 3158, \"c\": 22, \"e\": -37834, \"x\": 92}", "seed": "1689582083097856423", "semantic_fingerprint": "sha256:1d257cc373c274d05ed18c3aacbb59cdaa97a12f05cd3198a38567eb9c14b60a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003867", "prompt": "What is 49900 / 2193?", "solution_steps": ["Divide: 49900 / 2193 = 49900/2193"], "final_answer": "49900/2193", "answer_type": "rational", "kind": "expression", "math_text": "49900 / 2193", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 49900, \"b\": 2193}", "seed": "176282033279029919", "semantic_fingerprint": "sha256:8bb87802477a0ce2170269366d35bbccdff8b46b73b7d40d9646d936b9683281", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003868", "prompt": "What is (18152 - (-85395)) * 41257?", "solution_steps": ["Subtract: 18152 - (-85395) = 103547", "Multiply: 103547 * 41257 = 4272038579"], "final_answer": "4272038579", "answer_type": "integer", "kind": "expression", "math_text": "(18152 - (-85395)) * 41257", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18152, \"b\": -85395, \"c\": 41257}", "seed": "5143490296576807084", "semantic_fingerprint": "sha256:aec4ffde6ffc243ee20499aacc043da34986ca9bc0173f0bbf8ef7fb813812bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003869", "prompt": "Calculate: -22943 - (-8649) * (-9825)", "solution_steps": ["Multiply: -8649 * (-9825) = 84976425", "Subtract: -22943 - 84976425 = -84999368"], "final_answer": "-84999368", "answer_type": "integer", "kind": "expression", "math_text": "-22943 - (-8649) * (-9825)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22943, \"b\": -8649, \"c\": -9825}", "seed": "16171141556600229265", "semantic_fingerprint": "sha256:d200ee8e081951d9844c0ad6bf7a7c3735a4ea2f64042b08cae20c0dade872ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003870", "prompt": "Calculate: (-19548 + 8179) * (8218 / (-16318))", "solution_steps": ["Add: -19548 + 8179 = -11369", "Divide: 8218 / (-16318) = -4109/8159", "Multiply: -11369 * (-4109/8159) = 46715221/8159"], "final_answer": "46715221/8159", "answer_type": "rational", "kind": "expression", "math_text": "(-19548 + 8179) * (8218 / (-16318))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19548, \"b\": 8179, \"c\": 8218, \"d\": -16318}", "seed": "2496045880472852237", "semantic_fingerprint": "sha256:cf5ed4f86eac119dd6c30fad9307d78a3101ef38591be42133d83d8d16f1932b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003871", "prompt": "Evaluate: -24341 / (-95929)", "solution_steps": ["Divide: -24341 / (-95929) = 24341/95929"], "final_answer": "24341/95929", "answer_type": "rational", "kind": "expression", "math_text": "-24341 / (-95929)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24341, \"b\": -95929}", "seed": "9818218825942152385", "semantic_fingerprint": "sha256:cbcd230c599c928cb3f0f8e56ee0c63a4eadfbc0668829bc676c804ccd62c0eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003872", "prompt": "What is -3880 + 23092 - (7159 - 4766) / (-58609)?", "solution_steps": ["Add: -3880 + 23092 = 19212", "Subtract: 7159 - 4766 = 2393", "Divide: 2393 / (-58609) = -2393/58609", "Subtract: 19212 - (-2393/58609) = 1125998501/58609"], "final_answer": "1125998501/58609", "answer_type": "rational", "kind": "expression", "math_text": "-3880 + 23092 - (7159 - 4766) / (-58609)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3880, \"b\": 23092, \"c\": 7159, \"d\": 4766, \"e\": -58609}", "seed": "10839077422576752468", "semantic_fingerprint": "sha256:1af00bc6a695de802b26533422c04dad80a066f7e9fc38d4452e605b285f87b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003873", "prompt": "Evaluate: 10673 - (-60521)", "solution_steps": ["Subtract: 10673 - (-60521) = 71194"], "final_answer": "71194", "answer_type": "integer", "kind": "expression", "math_text": "10673 - (-60521)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 10673, \"b\": -60521}", "seed": "16864584598544144203", "semantic_fingerprint": "sha256:b4e8f0d7db3f1ef467578581532af6d2d98f93d2463d6f9e7d62fb18051d9a69", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003874", "prompt": "Compute: 7941 - 2767 + 90429", "solution_steps": ["Subtract: 7941 - 2767 = 5174", "Add: 5174 + 90429 = 95603"], "final_answer": "95603", "answer_type": "integer", "kind": "expression", "math_text": "7941 - 2767 + 90429", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7941, \"b\": 2767, \"c\": 90429}", "seed": "7260322292816159495", "semantic_fingerprint": "sha256:fd22e2a1458d58853e90325c0d153c1f32e5366f18ed4d0c11eae12374b60ad9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003875", "prompt": "Calculate: -9557 - (-30738) + (-7997)", "solution_steps": ["Subtract: -9557 - (-30738) = 21181", "Add: 21181 + (-7997) = 13184"], "final_answer": "13184", "answer_type": "integer", "kind": "expression", "math_text": "-9557 - (-30738) + (-7997)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9557, \"b\": -30738, \"c\": -7997}", "seed": "8337841339892024979", "semantic_fingerprint": "sha256:66d86ccf531462929871048867fd449617367602572539f19b046c5c91335ddd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003876", "prompt": "Find x: -15x - 8216 = -9806", "solution_steps": ["Add 8216 to both sides: -15x = -1590", "Divide both sides by -15: x = 106"], "final_answer": "106", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15x - 8216 = -9806", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 8216, \"d\": -9806, \"x\": 106}", "seed": "2368794404925789698", "semantic_fingerprint": "sha256:dcba837b32393033ca29806a3e1810ad8faa64d7f6e0a7d1065211c46d70477c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003877", "prompt": "Find x: x = -33(x - 6670) - 7500", "solution_steps": ["Expand: x = -33x + 220110 - 7500", "Combine constants: x = -33x + 212610", "Add 33x to both sides: 34x = 212610", "Divide both sides by 34: x = 106305/17"], "final_answer": "106305/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -33(x - 6670) - 7500", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 6670, \"c\": 7500}", "seed": "17134299514992397707", "semantic_fingerprint": "sha256:73d93564028987725994dec58fd114e93b8379d624a4275ced3d1fa3f8c445ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003878", "prompt": "Evaluate: -15837 / (-1251) - (2218 - (-5484))", "solution_steps": ["Divide: -15837 / (-1251) = 5279/417", "Subtract: 2218 - (-5484) = 7702", "Subtract: 5279/417 - 7702 = -3206455/417"], "final_answer": "-3206455/417", "answer_type": "rational", "kind": "expression", "math_text": "-15837 / (-1251) - (2218 - (-5484))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15837, \"b\": -1251, \"c\": 2218, \"d\": -5484}", "seed": "2466375421818570934", "semantic_fingerprint": "sha256:24f53672085ab1eaddb3b48bd0f6b54ae37821c7a0290feeba5c6c5dc86c88fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003879", "prompt": "What is 3696 - (-3069)?", "solution_steps": ["Subtract: 3696 - (-3069) = 6765"], "final_answer": "6765", "answer_type": "integer", "kind": "expression", "math_text": "3696 - (-3069)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3696, \"b\": -3069}", "seed": "8035051194909497346", "semantic_fingerprint": "sha256:73777d1c076d7ba1ac3931bea5575755b64914343f4db09a2c45b2246de8da29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003880", "prompt": "What value of x satisfies -35(x - 5319) = -36(x - 9057) + 7484?", "solution_steps": ["Expand: -35x + 186165 = -36(x - 9057) + 7484", "Expand: -35x + 186165 = -36x + 326052 + 7484", "Combine constants: -35x + 186165 = -36x + 333536", "Add 36x to both sides: x + 186165 = 333536", "Subtract 186165 from both sides: x = 147371"], "final_answer": "147371", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35(x - 5319) = -36(x - 9057) + 7484", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 5319, \"c\": -36, \"d\": 9057, \"e\": 7484}", "seed": "16600574846414962194", "semantic_fingerprint": "sha256:49dfa02bd241669cb10ab3a1c7daaecb426e9dff2383c080875e6067f442bc08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003881", "prompt": "Evaluate: (6844 - (-9929)) / (68655 + (-9604))", "solution_steps": ["Subtract: 6844 - (-9929) = 16773", "Add: 68655 + (-9604) = 59051", "Divide: 16773 / 59051 = 16773/59051"], "final_answer": "16773/59051", "answer_type": "rational", "kind": "expression", "math_text": "(6844 - (-9929)) / (68655 + (-9604))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6844, \"b\": -9929, \"c\": 68655, \"d\": -9604}", "seed": "17403271620360585253", "semantic_fingerprint": "sha256:1e88f040ab1a7f5002d233402ec8d3aae1ba1d3f1c59c803b947ead66208628d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003882", "prompt": "Evaluate: -82446 / 47818", "solution_steps": ["Divide: -82446 / 47818 = -41223/23909"], "final_answer": "-41223/23909", "answer_type": "rational", "kind": "expression", "math_text": "-82446 / 47818", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -82446, \"b\": 47818}", "seed": "18054597150486776357", "semantic_fingerprint": "sha256:6a2a0804ad467905d62e7d676b9b3ce41e37f05f0cd808f6000fb9462bba39f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003883", "prompt": "Compute: 1337 / 5553 + 65784", "solution_steps": ["Divide: 1337 / 5553 = 1337/5553", "Add: 1337/5553 + 65784 = 365299889/5553"], "final_answer": "365299889/5553", "answer_type": "rational", "kind": "expression", "math_text": "1337 / 5553 + 65784", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1337, \"b\": 5553, \"c\": 65784}", "seed": "610250978312021331", "semantic_fingerprint": "sha256:b5d39cd9082542d694319bac35fa500b5518b2c974f5c9155919c3901a842367", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003884", "prompt": "Evaluate: 8028 + (-89433) * 4119", "solution_steps": ["Multiply: -89433 * 4119 = -368374527", "Add: 8028 + (-368374527) = -368366499"], "final_answer": "-368366499", "answer_type": "integer", "kind": "expression", "math_text": "8028 + (-89433) * 4119", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8028, \"b\": -89433, \"c\": 4119}", "seed": "10570603949513136435", "semantic_fingerprint": "sha256:a5ba03f7ae77f570ac60cb5a619b6054a83cf99fbfeed8afc9f67f8653bd6105", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003885", "prompt": "Solve for x: 33x + 80919 = -25(x + 93458) - 73520", "solution_steps": ["Expand: 33x + 80919 = -25x - 2336450 - 73520", "Combine constants: 33x + 80919 = -25x - 2409970", "Add 25x to both sides: 58x + 80919 = -2409970", "Subtract 80919 from both sides: 58x = -2490889", "Divide both sides by 58: x = -2490889/58"], "final_answer": "-2490889/58", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x + 80919 = -25(x + 93458) - 73520", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 80919, \"c\": -25, \"d\": 93458, \"e\": 73520}", "seed": "2757587413249699788", "semantic_fingerprint": "sha256:c1d1858e8fe64ebb245c2cd7fc332d91b272d571f9bf6f1c3b559c61434dbc8f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003886", "prompt": "Compute: 8756 * 89864", "solution_steps": ["Multiply: 8756 * 89864 = 786849184"], "final_answer": "786849184", "answer_type": "integer", "kind": "expression", "math_text": "8756 * 89864", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8756, \"b\": 89864}", "seed": "448219796587379388", "semantic_fingerprint": "sha256:95a3da2d6ae2c2fd0446a5b149e92cbad9541f08825abae427620d826d7b5971", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003887", "prompt": "Calculate: 55927 * (3332 / (-45700))", "solution_steps": ["Divide: 3332 / (-45700) = -833/11425", "Multiply: 55927 * (-833/11425) = -46587191/11425"], "final_answer": "-46587191/11425", "answer_type": "rational", "kind": "expression", "math_text": "55927 * (3332 / (-45700))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 55927, \"b\": 3332, \"c\": -45700}", "seed": "1684296283154712042", "semantic_fingerprint": "sha256:a37ae94ae71d081e74bad93110d0400ceb26452e357bf38a430ad2c22855e335", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003888", "prompt": "Calculate: (-2950 + (-6195 - (-80758))) * (-7430)", "solution_steps": ["Subtract: -6195 - (-80758) = 74563", "Add: -2950 + 74563 = 71613", "Multiply: 71613 * (-7430) = -532084590"], "final_answer": "-532084590", "answer_type": "integer", "kind": "expression", "math_text": "(-2950 + (-6195 - (-80758))) * (-7430)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2950, \"b\": -6195, \"c\": -80758, \"d\": -7430}", "seed": "8118924519063263432", "semantic_fingerprint": "sha256:42cf5cf31df0f1dcbe81095e79d9603bcc37828b335be181e3c7a93a5b91f1fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003889", "prompt": "Compute: -4200 + 7448 / (-5751) + 4938", "solution_steps": ["Divide: 7448 / (-5751) = -7448/5751", "Add: -4200 + (-7448/5751) = -24161648/5751", "Add: -24161648/5751 + 4938 = 4236790/5751"], "final_answer": "4236790/5751", "answer_type": "rational", "kind": "expression", "math_text": "-4200 + 7448 / (-5751) + 4938", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4200, \"b\": 7448, \"c\": -5751, \"d\": 4938}", "seed": "9267053112039287244", "semantic_fingerprint": "sha256:c1eaba43374239dd3ae1334d9078f180f2bec02bd546e8fbb821fc973fded89e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003890", "prompt": "What value of x satisfies 28(x - 55744) + 90606 = -40(x - 55642) + 3253?", "solution_steps": ["Expand: 28x - 1560832 + 90606 = -40(x - 55642) + 3253", "Expand: 28x - 1560832 + 90606 = -40x + 2225680 + 3253", "Combine constants: 28x - 1470226 = -40x + 2225680 + 3253", "Combine constants: 28x - 1470226 = -40x + 2228933", "Add 40x to both sides: 68x - 1470226 = 2228933", "Add 1470226 to both sides: 68x = 3699159", "Divide both sides by 68: x = 3699159/68"], "final_answer": "3699159/68", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x - 55744) + 90606 = -40(x - 55642) + 3253", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 55744, \"c\": 90606, \"d\": -40, \"e\": 55642, \"f\": 3253}", "seed": "1723198913894789929", "semantic_fingerprint": "sha256:fba436132fa19dc728362d2c16dac67f42d6d1442628a1318c57c6159458eef2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003891", "prompt": "Solve the equation -40x = 20(x - 1345) + 29960 for x.", "solution_steps": ["Expand: -40x = 20x - 26900 + 29960", "Combine constants: -40x = 20x + 3060", "Subtract 20x from both sides: -60x = 3060", "Divide both sides by -60: x = -51"], "final_answer": "-51", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40x = 20(x - 1345) + 29960", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 20, \"c\": 1345, \"e\": 29960, \"x\": -51}", "seed": "12531950018573521519", "semantic_fingerprint": "sha256:49c772484b8720be006ce329aef625804362f2afa7f1fd414922917cd0a7b1af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003892", "prompt": "What is (84262 + (-2516)) * (-1627) * (-9586 - (-8268))?", "solution_steps": ["Add: 84262 + (-2516) = 81746", "Multiply: 81746 * (-1627) = -133000742", "Subtract: -9586 - (-8268) = -1318", "Multiply: -133000742 * (-1318) = 175294977956"], "final_answer": "175294977956", "answer_type": "integer", "kind": "expression", "math_text": "(84262 + (-2516)) * (-1627) * (-9586 - (-8268))", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 84262, \"b\": -2516, \"c\": -1627, \"d\": -9586, \"e\": -8268}", "seed": "764822523239129548", "semantic_fingerprint": "sha256:318360b6ac42322270b9ba62d49a57cf0aba152af3b1d70f6fab52c8aacaae15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003893", "prompt": "Solve for x: x + 32681 = -32x - 44058", "solution_steps": ["Add 32x to both sides: 33x + 32681 = -44058", "Subtract 32681 from both sides: 33x = -76739", "Divide both sides by 33: x = -76739/33"], "final_answer": "-76739/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 32681 = -32x - 44058", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32681, \"b\": -32, \"c\": 44058}", "seed": "4263983797355630275", "semantic_fingerprint": "sha256:c93f763c86d57a6a14315c341a093c4df28a710caaab8841c01cbdacd0bf43af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003894", "prompt": "Find x: 16(x - 29557) = -20(x + 50614)", "solution_steps": ["Expand: 16x - 472912 = -20(x + 50614)", "Expand: 16x - 472912 = -20x - 1012280", "Add 20x to both sides: 36x - 472912 = -1012280", "Add 472912 to both sides: 36x = -539368", "Divide both sides by 36: x = -134842/9"], "final_answer": "-134842/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 29557) = -20(x + 50614)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 29557, \"c\": -20, \"d\": 50614}", "seed": "9797842931126335734", "semantic_fingerprint": "sha256:c900472ff7810cb0fbf71143b30b0318f4de46d4acc72e5baa5cf2930cb7033a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003895", "prompt": "Calculate: 2057 - 6005", "solution_steps": ["Subtract: 2057 - 6005 = -3948"], "final_answer": "-3948", "answer_type": "integer", "kind": "expression", "math_text": "2057 - 6005", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2057, \"b\": 6005}", "seed": "17014045064146530489", "semantic_fingerprint": "sha256:4f4700a79be78644482bda5ad23a0e2e859332965e9d3e74d56b0a54a6311168", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003896", "prompt": "Compute: -79431 / 53712", "solution_steps": ["Divide: -79431 / 53712 = -26477/17904"], "final_answer": "-26477/17904", "answer_type": "rational", "kind": "expression", "math_text": "-79431 / 53712", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79431, \"b\": 53712}", "seed": "10806281543454672454", "semantic_fingerprint": "sha256:7fd67e318535356a451c28702d2d7f120476b979bc20789d5bf21778e11466ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003897", "prompt": "Evaluate: 7843 * 42132", "solution_steps": ["Multiply: 7843 * 42132 = 330441276"], "final_answer": "330441276", "answer_type": "integer", "kind": "expression", "math_text": "7843 * 42132", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7843, \"b\": 42132}", "seed": "11278917032980352578", "semantic_fingerprint": "sha256:94856aeac38e4c6dcb5208865a882e1d1dcc2f22d3c5f8c27fc2f43b124c2ab0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003898", "prompt": "What value of x satisfies x - 46485 = -15(x + 4373) - 3740?", "solution_steps": ["Expand: x - 46485 = -15x - 65595 - 3740", "Combine constants: x - 46485 = -15x - 69335", "Add 15x to both sides: 16x - 46485 = -69335", "Add 46485 to both sides: 16x = -22850", "Divide both sides by 16: x = -11425/8"], "final_answer": "-11425/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 46485 = -15(x + 4373) - 3740", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 46485, \"b\": -15, \"c\": 4373, \"d\": 3740}", "seed": "4495747223486323960", "semantic_fingerprint": "sha256:ed8587b2440f738b1f91664bfd8bf65412cd43a62ce70b01b91d305710548a8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003899", "prompt": "Calculate: 56715 - 2714 / 2414", "solution_steps": ["Divide: 2714 / 2414 = 1357/1207", "Subtract: 56715 - 1357/1207 = 68453648/1207"], "final_answer": "68453648/1207", "answer_type": "rational", "kind": "expression", "math_text": "56715 - 2714 / 2414", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56715, \"b\": 2714, \"c\": 2414}", "seed": "18113134729865297466", "semantic_fingerprint": "sha256:8e14ccbbc90df69b5bd21063ffe4aab936ab453e92d49b262f9424370c70620f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003900", "prompt": "What is (3786 - (-52835 + (-13403))) / (-95096)?", "solution_steps": ["Add: -52835 + (-13403) = -66238", "Subtract: 3786 - (-66238) = 70024", "Divide: 70024 / (-95096) = -8753/11887"], "final_answer": "-8753/11887", "answer_type": "rational", "kind": "expression", "math_text": "(3786 - (-52835 + (-13403))) / (-95096)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3786, \"b\": -52835, \"c\": -13403, \"d\": -95096}", "seed": "16877819505708854520", "semantic_fingerprint": "sha256:da7cdcfc83299d6998e6bf8c7581ad57ce29b470775ad120cea4f4efa4d0a6bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003901", "prompt": "Compute: 5156 + 78322 - (8132 + (-20060) + (-88662) / (-18215))", "solution_steps": ["Add: 5156 + 78322 = 83478", "Add: 8132 + (-20060) = -11928", "Divide: -88662 / (-18215) = 88662/18215", "Add: -11928 + 88662/18215 = -217179858/18215", "Subtract: 83478 - (-217179858/18215) = 1737731628/18215"], "final_answer": "1737731628/18215", "answer_type": "rational", "kind": "expression", "math_text": "5156 + 78322 - (8132 + (-20060) + (-88662) / (-18215))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (+ n n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5156, \"b\": 78322, \"c\": 8132, \"d\": -20060, \"e\": -88662, \"f\": -18215}", "seed": "12692854612165458144", "semantic_fingerprint": "sha256:ddceec42b3596abc2d68b8825d3ff8b52c06d8cf332fddef18592f0cf777ed51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003902", "prompt": "Solve the equation 37(x + 1488) + 2299 = 24(x + 64624) for x.", "solution_steps": ["Expand: 37x + 55056 + 2299 = 24(x + 64624)", "Expand: 37x + 55056 + 2299 = 24x + 1550976", "Combine constants: 37x + 57355 = 24x + 1550976", "Subtract 24x from both sides: 13x + 57355 = 1550976", "Subtract 57355 from both sides: 13x = 1493621", "Divide both sides by 13: x = 1493621/13"], "final_answer": "1493621/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x + 1488) + 2299 = 24(x + 64624)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 1488, \"c\": 2299, \"d\": 24, \"e\": 64624}", "seed": "7706377336365777419", "semantic_fingerprint": "sha256:939c15e04d025c34d29662abaf1d0aa99da269e7c16be4495b216445f04dbdce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003903", "prompt": "Find x: 21(x + 4275) - 2250 = 14(x + 5809) + 4820", "solution_steps": ["Expand: 21x + 89775 - 2250 = 14(x + 5809) + 4820", "Expand: 21x + 89775 - 2250 = 14x + 81326 + 4820", "Combine constants: 21x + 87525 = 14x + 81326 + 4820", "Combine constants: 21x + 87525 = 14x + 86146", "Subtract 14x from both sides: 7x + 87525 = 86146", "Subtract 87525 from both sides: 7x = -1379", "Divide both sides by 7: x = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 4275) - 2250 = 14(x + 5809) + 4820", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4275, \"c\": 2250, \"d\": 14, \"e\": 5809, \"g\": 4820, \"x\": -197}", "seed": "8641874828675189069", "semantic_fingerprint": "sha256:e5a6eff115839331a72cc8f8bec8ce707f650bc647e70c488aae15c2ed1ce2fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003904", "prompt": "Compute: 5746 * 8906", "solution_steps": ["Multiply: 5746 * 8906 = 51173876"], "final_answer": "51173876", "answer_type": "integer", "kind": "expression", "math_text": "5746 * 8906", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5746, \"b\": 8906}", "seed": "9804620198606523807", "semantic_fingerprint": "sha256:771a0d8d4992466d5b568d785309b20ce55976bb3fa44015c12fc012a66387c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003905", "prompt": "Evaluate: -2802 / (-8694 + 82244) * (-4056) + (-8140 + (-41228))", "solution_steps": ["Add: -8694 + 82244 = 73550", "Divide: -2802 / 73550 = -1401/36775", "Multiply: (-1401/36775) * (-4056) = 5682456/36775", "Add: -8140 + (-41228) = -49368", "Add: 5682456/36775 + (-49368) = -1809825744/36775"], "final_answer": "-1809825744/36775", "answer_type": "rational", "kind": "expression", "math_text": "-2802 / (-8694 + 82244) * (-4056) + (-8140 + (-41228))", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2802, \"b\": -8694, \"c\": 82244, \"d\": -4056, \"e\": -8140, \"f\": -41228}", "seed": "12066809036238177040", "semantic_fingerprint": "sha256:14afcfcbe5b09d4570b8c546698b04ac191b65c40861c0153adb35d29240f97f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003906", "prompt": "Calculate: 5729 - (-9674)", "solution_steps": ["Subtract: 5729 - (-9674) = 15403"], "final_answer": "15403", "answer_type": "integer", "kind": "expression", "math_text": "5729 - (-9674)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5729, \"b\": -9674}", "seed": "11603074784831125625", "semantic_fingerprint": "sha256:3f6d008bf098d3dcbc2bae9778d96e40fa599d67ae054a0fccaa816c3ab85868", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003907", "prompt": "Solve the equation x = 22(x + 58015) for x.", "solution_steps": ["Expand: x = 22x + 1276330", "Subtract 22x from both sides: -21x = 1276330", "Divide both sides by -21: x = -1276330/21"], "final_answer": "-1276330/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 22(x + 58015)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 58015}", "seed": "1826116288262886664", "semantic_fingerprint": "sha256:2c557bae32cca4b32bfdfb312c6c177661be244c0766fc15f9f683e1825ca4ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003908", "prompt": "Calculate: -9010 * 3936", "solution_steps": ["Multiply: -9010 * 3936 = -35463360"], "final_answer": "-35463360", "answer_type": "integer", "kind": "expression", "math_text": "-9010 * 3936", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9010, \"b\": 3936}", "seed": "5590038412198255565", "semantic_fingerprint": "sha256:d37fba699aaae306f48752204362f8ab68c0e750bfdf66fee2d2671acd729123", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003909", "prompt": "What is -5130 - 25090?", "solution_steps": ["Subtract: -5130 - 25090 = -30220"], "final_answer": "-30220", "answer_type": "integer", "kind": "expression", "math_text": "-5130 - 25090", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5130, \"b\": 25090}", "seed": "14654201188892883281", "semantic_fingerprint": "sha256:0787d82e0ede4a1b18fe11861c8651f070aacec97a4847187c7b8c3753f6a591", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003910", "prompt": "Solve the equation x + 6658 = 38(x + 3341) + 9978 for x.", "solution_steps": ["Expand: x + 6658 = 38x + 126958 + 9978", "Combine constants: x + 6658 = 38x + 136936", "Subtract 38x from both sides: -37x + 6658 = 136936", "Subtract 6658 from both sides: -37x = 130278", "Divide both sides by -37: x = -130278/37"], "final_answer": "-130278/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6658 = 38(x + 3341) + 9978", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6658, \"b\": 38, \"c\": 3341, \"d\": 9978}", "seed": "9232794734383843326", "semantic_fingerprint": "sha256:0536195e2dea6c6eddb46c4edf05435dbc5981c7506cacf548587f7c320a7d6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003911", "prompt": "Compute: -3097 / (-86701)", "solution_steps": ["Divide: -3097 / (-86701) = 3097/86701"], "final_answer": "3097/86701", "answer_type": "rational", "kind": "expression", "math_text": "-3097 / (-86701)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3097, \"b\": -86701}", "seed": "15971845278930729997", "semantic_fingerprint": "sha256:91b932c9feebf114958574988bf06b6143a21e77330350f0c2fc485332fe0b10", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003912", "prompt": "Compute: 59791 - (-81318) + (-5701)", "solution_steps": ["Subtract: 59791 - (-81318) = 141109", "Add: 141109 + (-5701) = 135408"], "final_answer": "135408", "answer_type": "integer", "kind": "expression", "math_text": "59791 - (-81318) + (-5701)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59791, \"b\": -81318, \"c\": -5701}", "seed": "15009483393817799837", "semantic_fingerprint": "sha256:51aa2575f6fc0503a66d38cf2150f08ec2ed28f798d88f1889552c4c1f0dc1b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003913", "prompt": "Calculate: -6400 / (-9716) * 6696", "solution_steps": ["Divide: -6400 / (-9716) = 1600/2429", "Multiply: (1600/2429) * 6696 = 10713600/2429"], "final_answer": "10713600/2429", "answer_type": "rational", "kind": "expression", "math_text": "-6400 / (-9716) * 6696", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6400, \"b\": -9716, \"c\": 6696}", "seed": "15863654490670630624", "semantic_fingerprint": "sha256:6ebac601b81e18879463b6e1ee9c7e067db2756c151f3893676d256f106671f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003914", "prompt": "Calculate: -6405 + (-5651) + (-42242) + (-1548 - (-8113))", "solution_steps": ["Add: -6405 + (-5651) = -12056", "Add: -12056 + (-42242) = -54298", "Subtract: -1548 - (-8113) = 6565", "Add: -54298 + 6565 = -47733"], "final_answer": "-47733", "answer_type": "integer", "kind": "expression", "math_text": "-6405 + (-5651) + (-42242) + (-1548 - (-8113))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6405, \"b\": -5651, \"c\": -42242, \"d\": -1548, \"e\": -8113}", "seed": "18316055149035560127", "semantic_fingerprint": "sha256:dae6f77f20777e23e91c4030eda541b53a8a5d6dd3a3d5ea7d19906a053f680a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003915", "prompt": "Solve the equation x = -31(x + 18699) for x.", "solution_steps": ["Expand: x = -31x - 579669", "Add 31x to both sides: 32x = -579669", "Divide both sides by 32: x = -579669/32"], "final_answer": "-579669/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -31(x + 18699)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 18699}", "seed": "878075479574284030", "semantic_fingerprint": "sha256:8882b5d77f8500a0c31ac6b5d40c48c72ae72fdba5ac0a7d40a35993f1123b46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003916", "prompt": "Solve the equation x + 83392 = 83545 for x.", "solution_steps": ["Subtract 83392 from both sides: x = 153"], "final_answer": "153", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 83392 = 83545", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 83392, \"c\": 83545, \"x\": 153}", "seed": "5965371674744770349", "semantic_fingerprint": "sha256:290ce0a15b1740ee82f89a40a5e4af7fcc96c1da33e4ae92ba0576e73f049a35", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003917", "prompt": "Compute: -3833 + (-1395 * (-5889) + (-4487))", "solution_steps": ["Multiply: -1395 * (-5889) = 8215155", "Add: 8215155 + (-4487) = 8210668", "Add: -3833 + 8210668 = 8206835"], "final_answer": "8206835", "answer_type": "integer", "kind": "expression", "math_text": "-3833 + (-1395 * (-5889) + (-4487))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3833, \"b\": -1395, \"c\": -5889, \"d\": -4487}", "seed": "8281637141718572459", "semantic_fingerprint": "sha256:56b8808faeae8844a29d3816a3b762061145a3174bdbad7adef5f9b236aace7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003918", "prompt": "Evaluate: 8062 - 4095", "solution_steps": ["Subtract: 8062 - 4095 = 3967"], "final_answer": "3967", "answer_type": "integer", "kind": "expression", "math_text": "8062 - 4095", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8062, \"b\": 4095}", "seed": "10130036736004886944", "semantic_fingerprint": "sha256:dfc0e1c0611a7a1f9bbf1579921a1389fc97b8949a1ea9eb89ee596916caaac0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003919", "prompt": "What value of x satisfies 39x = 28x?", "solution_steps": ["Subtract 28x from both sides: 11x = 0", "Divide both sides by 11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = 28x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 28}", "seed": "11408720330259369112", "semantic_fingerprint": "sha256:1d561638df2681a5a1534c71597815a9c164e9f575f95c8c8ab74b358fd73b58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003920", "prompt": "What is 46721 - 43189 + (-8895)?", "solution_steps": ["Subtract: 46721 - 43189 = 3532", "Add: 3532 + (-8895) = -5363"], "final_answer": "-5363", "answer_type": "integer", "kind": "expression", "math_text": "46721 - 43189 + (-8895)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46721, \"b\": 43189, \"c\": -8895}", "seed": "2822846121425956781", "semantic_fingerprint": "sha256:fc5d2bd20324b979a282c6425ff003c33cc8ac95dee610ac1f4231474ebffe46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003921", "prompt": "Find x: 16(x + 8661) = 35(x - 20451) - 43659", "solution_steps": ["Expand: 16x + 138576 = 35(x - 20451) - 43659", "Expand: 16x + 138576 = 35x - 715785 - 43659", "Combine constants: 16x + 138576 = 35x - 759444", "Subtract 35x from both sides: -19x + 138576 = -759444", "Subtract 138576 from both sides: -19x = -898020", "Divide both sides by -19: x = 898020/19"], "final_answer": "898020/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 8661) = 35(x - 20451) - 43659", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 8661, \"c\": 35, \"d\": 20451, \"e\": 43659}", "seed": "11275912742806259797", "semantic_fingerprint": "sha256:a0681e668b1fbdcb251e1a808f4935072eeca0a79d918683b4a9ee2b6b90257e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003922", "prompt": "What value of x satisfies x - 88752 = 14(x - 98139) - 10521?", "solution_steps": ["Expand: x - 88752 = 14x - 1373946 - 10521", "Combine constants: x - 88752 = 14x - 1384467", "Subtract 14x from both sides: -13x - 88752 = -1384467", "Add 88752 to both sides: -13x = -1295715", "Divide both sides by -13: x = 1295715/13"], "final_answer": "1295715/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 88752 = 14(x - 98139) - 10521", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 88752, \"b\": 14, \"c\": 98139, \"d\": 10521}", "seed": "16086095604266490043", "semantic_fingerprint": "sha256:735fe8433a3a347233887197cd35ede1e52796a040092d9c3bc40c58b0ecaa2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003923", "prompt": "Calculate: -12552 * (-38219 / (-72409))", "solution_steps": ["Divide: -38219 / (-72409) = 38219/72409", "Multiply: -12552 * (38219/72409) = -479724888/72409"], "final_answer": "-479724888/72409", "answer_type": "rational", "kind": "expression", "math_text": "-12552 * (-38219 / (-72409))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12552, \"b\": -38219, \"c\": -72409}", "seed": "5069639133383530451", "semantic_fingerprint": "sha256:ff5a037a3d119fbe316d5cdc6afd96c52d053305871ac55deee539fe3413541c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003924", "prompt": "Evaluate: -4161 * (-94736 + (-8041))", "solution_steps": ["Add: -94736 + (-8041) = -102777", "Multiply: -4161 * (-102777) = 427655097"], "final_answer": "427655097", "answer_type": "integer", "kind": "expression", "math_text": "-4161 * (-94736 + (-8041))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4161, \"b\": -94736, \"c\": -8041}", "seed": "18074141611021052184", "semantic_fingerprint": "sha256:15fbb5996c60707ecf02ae999808ec8763d0d37c1eb3e9ac38fb2341114960c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003925", "prompt": "What is -4505 + (-9856) / (1289 * (-7808)) + (-3959)?", "solution_steps": ["Multiply: 1289 * (-7808) = -10064512", "Divide: -9856 / (-10064512) = 77/78629", "Add: -4505 + 77/78629 = -354223568/78629", "Add: -354223568/78629 + (-3959) = -665515779/78629"], "final_answer": "-665515779/78629", "answer_type": "rational", "kind": "expression", "math_text": "-4505 + (-9856) / (1289 * (-7808)) + (-3959)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4505, \"b\": -9856, \"c\": 1289, \"d\": -7808, \"e\": -3959}", "seed": "10821358814565997988", "semantic_fingerprint": "sha256:ae80b132d4d6e287bf68811d69b7c013e9aa3dcba6c9fce98db2970b9df70d08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003926", "prompt": "Calculate: 66122 + (-77335 + (-8677))", "solution_steps": ["Add: -77335 + (-8677) = -86012", "Add: 66122 + (-86012) = -19890"], "final_answer": "-19890", "answer_type": "integer", "kind": "expression", "math_text": "66122 + (-77335 + (-8677))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66122, \"b\": -77335, \"c\": -8677}", "seed": "17655196148356882974", "semantic_fingerprint": "sha256:24c27938c4a8899faae406552f34defd506f9303574150d9fb49b656f3788060", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003927", "prompt": "What is 9019 / 1399?", "solution_steps": ["Divide: 9019 / 1399 = 9019/1399"], "final_answer": "9019/1399", "answer_type": "rational", "kind": "expression", "math_text": "9019 / 1399", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9019, \"b\": 1399}", "seed": "5087378833722440834", "semantic_fingerprint": "sha256:80fe3e597834033a856be39ea9f9368c33fbccb88f8fd88a877935cd8c924bfe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003928", "prompt": "Evaluate: 7134 + (-10951) - (-27750) * 96580", "solution_steps": ["Add: 7134 + (-10951) = -3817", "Multiply: -27750 * 96580 = -2680095000", "Subtract: -3817 - (-2680095000) = 2680091183"], "final_answer": "2680091183", "answer_type": "integer", "kind": "expression", "math_text": "7134 + (-10951) - (-27750) * 96580", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7134, \"b\": -10951, \"c\": -27750, \"d\": 96580}", "seed": "2095111610720642929", "semantic_fingerprint": "sha256:03f684d337a1e7f4a27c06e470dae7e594437a4eed00fe746efb6a60d4de66a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003929", "prompt": "Find x: -38x = 14(x - 3868) + 61692", "solution_steps": ["Expand: -38x = 14x - 54152 + 61692", "Combine constants: -38x = 14x + 7540", "Subtract 14x from both sides: -52x = 7540", "Divide both sides by -52: x = -145"], "final_answer": "-145", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x = 14(x - 3868) + 61692", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 14, \"c\": 3868, \"e\": 61692, \"x\": -145}", "seed": "1673977507691173878", "semantic_fingerprint": "sha256:dc8a5932a883b1317897634cb587910ba1795de4c36d48fd0ba19a9f7cde1a46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003930", "prompt": "What value of x satisfies x + 1989 = 18x?", "solution_steps": ["Subtract 18x from both sides: -17x + 1989 = 0", "Subtract 1989 from both sides: -17x = -1989", "Divide both sides by -17: x = 117"], "final_answer": "117", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1989 = 18x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"c\": 1989, \"x\": 117}", "seed": "1458556966841714655", "semantic_fingerprint": "sha256:c71d9a0b52197cdaa8fab28c1187211936a7bdc6d7afde390bda8abdd73d58e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003931", "prompt": "Calculate: -4932 / 7857", "solution_steps": ["Divide: -4932 / 7857 = -548/873"], "final_answer": "-548/873", "answer_type": "rational", "kind": "expression", "math_text": "-4932 / 7857", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4932, \"b\": 7857}", "seed": "4386153755863648590", "semantic_fingerprint": "sha256:fd4dc1a9614bbe2e7a3dd5540fe5e5bc84a3d55daa7c11fbc9fde05675fbf036", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003932", "prompt": "Solve for x: x - 3969 = -32x", "solution_steps": ["Add 32x to both sides: 33x - 3969 = 0", "Add 3969 to both sides: 33x = 3969", "Divide both sides by 33: x = 1323/11"], "final_answer": "1323/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3969 = -32x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3969, \"b\": -32}", "seed": "1894766605834176763", "semantic_fingerprint": "sha256:bf8ae072b560d75760562ec32b7c9641d85290580c1ed9e3d7e1afd598e4d10b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003933", "prompt": "What is 3651 - (2879 - 3007) - (-6021) / 2385?", "solution_steps": ["Subtract: 2879 - 3007 = -128", "Subtract: 3651 - (-128) = 3779", "Divide: -6021 / 2385 = -669/265", "Subtract: 3779 - (-669/265) = 1002104/265"], "final_answer": "1002104/265", "answer_type": "rational", "kind": "expression", "math_text": "3651 - (2879 - 3007) - (-6021) / 2385", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3651, \"b\": 2879, \"c\": 3007, \"d\": -6021, \"e\": 2385}", "seed": "9062581393741326722", "semantic_fingerprint": "sha256:73310fbbe7b6f08cc8c87bee5b07fac3ddf1b9834ce6ec9c6c82332bc28721d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003934", "prompt": "Solve for x: -32x + 42175 = 44799", "solution_steps": ["Subtract 42175 from both sides: -32x = 2624", "Divide both sides by -32: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x + 42175 = 44799", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 42175, \"d\": 44799, \"x\": -82}", "seed": "1089818216989759148", "semantic_fingerprint": "sha256:43e8026c71790bf98eecb70518c07e2bd4a9e5d1f2aed687944cdcfb7cee9691", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003935", "prompt": "Calculate: -25741 * (-8947) - 7476", "solution_steps": ["Multiply: -25741 * (-8947) = 230304727", "Subtract: 230304727 - 7476 = 230297251"], "final_answer": "230297251", "answer_type": "integer", "kind": "expression", "math_text": "-25741 * (-8947) - 7476", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25741, \"b\": -8947, \"c\": 7476}", "seed": "17042276095878792627", "semantic_fingerprint": "sha256:16c8ef604e608e55466910649af501dfb9e557f62a02974fdf9c7ad13d704529", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003936", "prompt": "Calculate: 1905 * (-7620 * (-5975))", "solution_steps": ["Multiply: -7620 * (-5975) = 45529500", "Multiply: 1905 * 45529500 = 86733697500"], "final_answer": "86733697500", "answer_type": "integer", "kind": "expression", "math_text": "1905 * (-7620 * (-5975))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1905, \"b\": -7620, \"c\": -5975}", "seed": "17729938384379652390", "semantic_fingerprint": "sha256:6c4c0983b10cd2e5a09fb579fb4530d828c143dd28df71612b0a667912a5e944", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003937", "prompt": "What is 19848 * 8833?", "solution_steps": ["Multiply: 19848 * 8833 = 175317384"], "final_answer": "175317384", "answer_type": "integer", "kind": "expression", "math_text": "19848 * 8833", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 19848, \"b\": 8833}", "seed": "10977268955910178094", "semantic_fingerprint": "sha256:e51800563abc7e266c170c9e5847d323661656d0a3ccf298903b4897c44a05c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003938", "prompt": "Calculate: (3516 - (-7633)) * (-8318 + (-6759)) - (-4788)", "solution_steps": ["Subtract: 3516 - (-7633) = 11149", "Add: -8318 + (-6759) = -15077", "Multiply: 11149 * (-15077) = -168093473", "Subtract: -168093473 - (-4788) = -168088685"], "final_answer": "-168088685", "answer_type": "integer", "kind": "expression", "math_text": "(3516 - (-7633)) * (-8318 + (-6759)) - (-4788)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3516, \"b\": -7633, \"c\": -8318, \"d\": -6759, \"e\": -4788}", "seed": "13353751705341182519", "semantic_fingerprint": "sha256:a00c15d4868976050baa0b7e79a6cdb6fa03aad457ae7437d115c90baaf262e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003939", "prompt": "Calculate: -4443 + 7143 - (-52130 - (-5967))", "solution_steps": ["Add: -4443 + 7143 = 2700", "Subtract: -52130 - (-5967) = -46163", "Subtract: 2700 - (-46163) = 48863"], "final_answer": "48863", "answer_type": "integer", "kind": "expression", "math_text": "-4443 + 7143 - (-52130 - (-5967))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4443, \"b\": 7143, \"c\": -52130, \"d\": -5967}", "seed": "9303971123146535242", "semantic_fingerprint": "sha256:3e172a4dddc62fd2c48f7d3d650b58ea3c660e6e5422a2b97db448bdb7c5dbd7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003940", "prompt": "Calculate: -9741 * (-1313) + (-1184)", "solution_steps": ["Multiply: -9741 * (-1313) = 12789933", "Add: 12789933 + (-1184) = 12788749"], "final_answer": "12788749", "answer_type": "integer", "kind": "expression", "math_text": "-9741 * (-1313) + (-1184)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9741, \"b\": -1313, \"c\": -1184}", "seed": "2014627178895161784", "semantic_fingerprint": "sha256:ea21009f4bec823199b0abfee5ee61e4e40c01c0a9d427a1d7ae39ed9919a961", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003941", "prompt": "Compute: (7935 + 18698 - 71578) / 7669", "solution_steps": ["Add: 7935 + 18698 = 26633", "Subtract: 26633 - 71578 = -44945", "Divide: -44945 / 7669 = -44945/7669"], "final_answer": "-44945/7669", "answer_type": "rational", "kind": "expression", "math_text": "(7935 + 18698 - 71578) / 7669", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7935, \"b\": 18698, \"c\": 71578, \"d\": 7669}", "seed": "18370043262527734452", "semantic_fingerprint": "sha256:355997281d6227156736608550fd0d9db9a1497018bc4d55515e89aa3b89095c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003942", "prompt": "Calculate: -48362 * (-70456)", "solution_steps": ["Multiply: -48362 * (-70456) = 3407393072"], "final_answer": "3407393072", "answer_type": "integer", "kind": "expression", "math_text": "-48362 * (-70456)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -48362, \"b\": -70456}", "seed": "15555486477279222474", "semantic_fingerprint": "sha256:bd3fdbe9dde963140b0bdfadf26714e3e9b941bb93b48d35bc37b90c1407edd3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003943", "prompt": "Calculate: -56433 / (-4137 + 48793)", "solution_steps": ["Add: -4137 + 48793 = 44656", "Divide: -56433 / 44656 = -56433/44656"], "final_answer": "-56433/44656", "answer_type": "rational", "kind": "expression", "math_text": "-56433 / (-4137 + 48793)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -56433, \"b\": -4137, \"c\": 48793}", "seed": "15482625216935058994", "semantic_fingerprint": "sha256:07828bbcaa3db4378b6655246c6c2fd8c615440f7a2ae61fe8163235eda34101", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003944", "prompt": "Compute: 66994 / (-5124 - 48556)", "solution_steps": ["Subtract: -5124 - 48556 = -53680", "Divide: 66994 / (-53680) = -33497/26840"], "final_answer": "-33497/26840", "answer_type": "rational", "kind": "expression", "math_text": "66994 / (-5124 - 48556)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66994, \"b\": -5124, \"c\": 48556}", "seed": "16237974841313223708", "semantic_fingerprint": "sha256:05e523839a6de7c132b24d0dc25415ea29ccb80c6534cc2c058f25e95bbd6eeb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003945", "prompt": "Evaluate: -7884 + 3735 * (-4572) - 2140", "solution_steps": ["Multiply: 3735 * (-4572) = -17076420", "Add: -7884 + (-17076420) = -17084304", "Subtract: -17084304 - 2140 = -17086444"], "final_answer": "-17086444", "answer_type": "integer", "kind": "expression", "math_text": "-7884 + 3735 * (-4572) - 2140", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7884, \"b\": 3735, \"c\": -4572, \"d\": 2140}", "seed": "1389157030564080081", "semantic_fingerprint": "sha256:347f407481f4ccfe7fd4a955a2621a113cc89ed406dab812177ed60b1281fd51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003946", "prompt": "Solve for x: 20(x + 3326) + 11150 = 15(x + 5240)", "solution_steps": ["Expand: 20x + 66520 + 11150 = 15(x + 5240)", "Expand: 20x + 66520 + 11150 = 15x + 78600", "Combine constants: 20x + 77670 = 15x + 78600", "Subtract 15x from both sides: 5x + 77670 = 78600", "Subtract 77670 from both sides: 5x = 930", "Divide both sides by 5: x = 186"], "final_answer": "186", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 3326) + 11150 = 15(x + 5240)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3326, \"c\": 15, \"d\": 5240, \"f\": 11150, \"x\": 186}", "seed": "9570611901735112055", "semantic_fingerprint": "sha256:b1866ba51b55c530ccf7fe0d967bc3c6edda5651b5adef41f16cd24474e7b874", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003947", "prompt": "Evaluate: -8935 * (86896 / 1905 + (-70069))", "solution_steps": ["Divide: 86896 / 1905 = 86896/1905", "Add: 86896/1905 + (-70069) = -133394549/1905", "Multiply: -8935 * (-133394549/1905) = 238376059063/381"], "final_answer": "238376059063/381", "answer_type": "rational", "kind": "expression", "math_text": "-8935 * (86896 / 1905 + (-70069))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8935, \"b\": 86896, \"c\": 1905, \"d\": -70069}", "seed": "14722711892631199288", "semantic_fingerprint": "sha256:6f678a2e80cb7e7e8d81d461acbd31c48880fc21ad6f8ae2282d0d96cdca08e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003948", "prompt": "What is -6032 * 3493 + 62169?", "solution_steps": ["Multiply: -6032 * 3493 = -21069776", "Add: -21069776 + 62169 = -21007607"], "final_answer": "-21007607", "answer_type": "integer", "kind": "expression", "math_text": "-6032 * 3493 + 62169", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6032, \"b\": 3493, \"c\": 62169}", "seed": "4950882481589700275", "semantic_fingerprint": "sha256:3dc5cb392301f710b31191592ab0d477ad64f4e31befd4f911adf5801103e6c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003949", "prompt": "What value of x satisfies 22(x - 8983) + 6132 = 31x - 2671?", "solution_steps": ["Expand: 22x - 197626 + 6132 = 31x - 2671", "Combine constants: 22x - 191494 = 31x - 2671", "Subtract 31x from both sides: -9x - 191494 = -2671", "Add 191494 to both sides: -9x = 188823", "Divide both sides by -9: x = -62941/3"], "final_answer": "-62941/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 8983) + 6132 = 31x - 2671", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 8983, \"c\": 6132, \"d\": 31, \"e\": 2671}", "seed": "6457325394114435076", "semantic_fingerprint": "sha256:3b29b7ca5b92ed210d58c0e471d1a09198d9100bcaf1fb72344fec28bbf521f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003950", "prompt": "Evaluate: -2012 * (-9477 - (-13647))", "solution_steps": ["Subtract: -9477 - (-13647) = 4170", "Multiply: -2012 * 4170 = -8390040"], "final_answer": "-8390040", "answer_type": "integer", "kind": "expression", "math_text": "-2012 * (-9477 - (-13647))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2012, \"b\": -9477, \"c\": -13647}", "seed": "10197801377517795822", "semantic_fingerprint": "sha256:9916baf8e421e5fb110543670dc9ca694efdcb4d572836e2c3f7b842471de7d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003951", "prompt": "Find x: x + 9558 = -30(x - 3360) - 95117", "solution_steps": ["Expand: x + 9558 = -30x + 100800 - 95117", "Combine constants: x + 9558 = -30x + 5683", "Add 30x to both sides: 31x + 9558 = 5683", "Subtract 9558 from both sides: 31x = -3875", "Divide both sides by 31: x = -125"], "final_answer": "-125", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9558 = -30(x - 3360) - 95117", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9558, \"b\": -30, \"c\": 3360, \"e\": -95117, \"x\": -125}", "seed": "13093731585206180342", "semantic_fingerprint": "sha256:442b073ed2a0202ee5eaca6353583496f4bb80d9e0acd3aac05f7a365e4b5670", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003952", "prompt": "Find x: 39x = 1599", "solution_steps": ["Divide both sides by 39: x = 41"], "final_answer": "41", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x = 1599", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": 1599, \"x\": 41}", "seed": "13794769465734170681", "semantic_fingerprint": "sha256:e439d1e5a4850555f1567c2574b30e4bb7e25ab10932e70704b0aeb7fd1063d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003953", "prompt": "Compute: -9365 * (-5646 - 1281)", "solution_steps": ["Subtract: -5646 - 1281 = -6927", "Multiply: -9365 * (-6927) = 64871355"], "final_answer": "64871355", "answer_type": "integer", "kind": "expression", "math_text": "-9365 * (-5646 - 1281)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9365, \"b\": -5646, \"c\": 1281}", "seed": "15117020570888526163", "semantic_fingerprint": "sha256:27af399f58121b966d0561bcc2eb311e693344f7e7b2c61e5ff8a44ccea165a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003954", "prompt": "Find x: 25(x - 2024) = x - 52352", "solution_steps": ["Expand: 25x - 50600 = x - 52352", "Subtract x from both sides: 24x - 50600 = -52352", "Add 50600 to both sides: 24x = -1752", "Divide both sides by 24: x = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 2024) = x - 52352", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2024, \"d\": -52352, \"x\": -73}", "seed": "12743707589839247081", "semantic_fingerprint": "sha256:dbcf51dd0e6977b87b01d8bc5aa00fb35c4a7fb73b4ec2068b1b553d90d4a19b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003955", "prompt": "Calculate: 80253 + (-1417)", "solution_steps": ["Add: 80253 + (-1417) = 78836"], "final_answer": "78836", "answer_type": "integer", "kind": "expression", "math_text": "80253 + (-1417)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 80253, \"b\": -1417}", "seed": "11221393960777871178", "semantic_fingerprint": "sha256:137e05ec4a4effca45d0efa08c4e26d729052049291960747da8b16015cf7981", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003956", "prompt": "What is -2485 * (22064 + (-3565)) * 2751?", "solution_steps": ["Add: 22064 + (-3565) = 18499", "Multiply: -2485 * 18499 = -45970015", "Multiply: -45970015 * 2751 = -126463511265"], "final_answer": "-126463511265", "answer_type": "integer", "kind": "expression", "math_text": "-2485 * (22064 + (-3565)) * 2751", "variable": null, "family": "expression_3op", "shape": "(* (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2485, \"b\": 22064, \"c\": -3565, \"d\": 2751}", "seed": "3223081671308379215", "semantic_fingerprint": "sha256:38a7e6ca9260d5b404127ed8470ff56f0e4725431ab7e4f930c5898efffd2629", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003957", "prompt": "Solve for x: 24x - 9879 = 20x + 5261", "solution_steps": ["Subtract 20x from both sides: 4x - 9879 = 5261", "Add 9879 to both sides: 4x = 15140", "Divide both sides by 4: x = 3785"], "final_answer": "3785", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 9879 = 20x + 5261", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 9879, \"c\": 20, \"d\": 5261}", "seed": "11153218378128038489", "semantic_fingerprint": "sha256:880846d9fe3a3dd51be3ee4a2e464e7492066a42dec34e425ecfce1596ee2ffa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003958", "prompt": "What value of x satisfies -38(x + 3987) - 29411 = 14(x - 56198) + 4191?", "solution_steps": ["Expand: -38x - 151506 - 29411 = 14(x - 56198) + 4191", "Expand: -38x - 151506 - 29411 = 14x - 786772 + 4191", "Combine constants: -38x - 180917 = 14x - 786772 + 4191", "Combine constants: -38x - 180917 = 14x - 782581", "Subtract 14x from both sides: -52x - 180917 = -782581", "Add 180917 to both sides: -52x = -601664", "Divide both sides by -52: x = 150416/13"], "final_answer": "150416/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 3987) - 29411 = 14(x - 56198) + 4191", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 3987, \"c\": 29411, \"d\": 14, \"e\": 56198, \"f\": 4191}", "seed": "9638308251208572222", "semantic_fingerprint": "sha256:bb7ad2c053b000ff28eee2f2c1204ec489d6be8f4121fe114cca2d1652d2680d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003959", "prompt": "Calculate: -45439 - 19924 - (-29950) * (58477 - (-53425))", "solution_steps": ["Subtract: -45439 - 19924 = -65363", "Subtract: 58477 - (-53425) = 111902", "Multiply: -29950 * 111902 = -3351464900", "Subtract: -65363 - (-3351464900) = 3351399537"], "final_answer": "3351399537", "answer_type": "integer", "kind": "expression", "math_text": "-45439 - 19924 - (-29950) * (58477 - (-53425))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -45439, \"b\": 19924, \"c\": -29950, \"d\": 58477, \"e\": -53425}", "seed": "13342355686019078382", "semantic_fingerprint": "sha256:bb6e8c62ec39ebd5a44838de96b9acc82118dd6b40436c48d491298adc88f185", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003960", "prompt": "Compute: -96239 + (1953 + (-33420 - (-63048) + (-10454)))", "solution_steps": ["Subtract: -33420 - (-63048) = 29628", "Add: 29628 + (-10454) = 19174", "Add: 1953 + 19174 = 21127", "Add: -96239 + 21127 = -75112"], "final_answer": "-75112", "answer_type": "integer", "kind": "expression", "math_text": "-96239 + (1953 + (-33420 - (-63048) + (-10454)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (+ (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -96239, \"b\": 1953, \"c\": -33420, \"d\": -63048, \"e\": -10454}", "seed": "1519610873822043638", "semantic_fingerprint": "sha256:26dbfbd11eafa6767aa58d5c4a91a3418505bc2434128f520893d505fb140610", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003961", "prompt": "Evaluate: 6338 * (-23670) - (-54009)", "solution_steps": ["Multiply: 6338 * (-23670) = -150020460", "Subtract: -150020460 - (-54009) = -149966451"], "final_answer": "-149966451", "answer_type": "integer", "kind": "expression", "math_text": "6338 * (-23670) - (-54009)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6338, \"b\": -23670, \"c\": -54009}", "seed": "3958417989112233249", "semantic_fingerprint": "sha256:1702788aefe03f35b16ff3c7f3bfc9b91b1dc23dbbecdf1b444b3f9ba4e6fcde", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003962", "prompt": "Calculate: 32961 / 7310 * 36748", "solution_steps": ["Divide: 32961 / 7310 = 32961/7310", "Multiply: (32961/7310) * 36748 = 605625414/3655"], "final_answer": "605625414/3655", "answer_type": "rational", "kind": "expression", "math_text": "32961 / 7310 * 36748", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32961, \"b\": 7310, \"c\": 36748}", "seed": "1462270774189582226", "semantic_fingerprint": "sha256:b4c65fc883961ced6552ca74f4ad6ef15d6e57cacb69829d7bbc8a55097dd58d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003963", "prompt": "Evaluate: (4362 + (-9520)) * (-35482 * (-3319) / (-55697))", "solution_steps": ["Add: 4362 + (-9520) = -5158", "Multiply: -35482 * (-3319) = 117764758", "Divide: 117764758 / (-55697) = -117764758/55697", "Multiply: -5158 * (-117764758/55697) = 607430621764/55697"], "final_answer": "607430621764/55697", "answer_type": "rational", "kind": "expression", "math_text": "(4362 + (-9520)) * (-35482 * (-3319) / (-55697))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4362, \"b\": -9520, \"c\": -35482, \"d\": -3319, \"e\": -55697}", "seed": "7136376963057613006", "semantic_fingerprint": "sha256:a599b1bb4c4dcfd6d3f2d5395e9047c48e50fba085320099a4edda9094844694", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003964", "prompt": "Find x: -40(x - 72496) = x", "solution_steps": ["Expand: -40x + 2899840 = x", "Subtract x from both sides: -41x + 2899840 = 0", "Subtract 2899840 from both sides: -41x = -2899840", "Divide both sides by -41: x = 2899840/41"], "final_answer": "2899840/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x - 72496) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 72496}", "seed": "11860454169670142713", "semantic_fingerprint": "sha256:7b3e3f68eb2f970afe0251c3e2af7422219cd2751b10865af3a42028efb5e9a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003965", "prompt": "What is 50702 / (-66797) * 8428?", "solution_steps": ["Divide: 50702 / (-66797) = -50702/66797", "Multiply: (-50702/66797) * 8428 = -427316456/66797"], "final_answer": "-427316456/66797", "answer_type": "rational", "kind": "expression", "math_text": "50702 / (-66797) * 8428", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50702, \"b\": -66797, \"c\": 8428}", "seed": "8448594904022575628", "semantic_fingerprint": "sha256:000a017e7acdc3647a7c86d5d63e71c5ea7ae297e9f02a8f492364d2e08805d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003966", "prompt": "Compute: 85893 + (-81408)", "solution_steps": ["Add: 85893 + (-81408) = 4485"], "final_answer": "4485", "answer_type": "integer", "kind": "expression", "math_text": "85893 + (-81408)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 85893, \"b\": -81408}", "seed": "184181008798575246", "semantic_fingerprint": "sha256:fe2b91c30feb6fc55e2f1fce052fc29b0dc10665691bf2f015807b73264418ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003967", "prompt": "Calculate: (-3676 - (-43382) * (7047 + (-6027))) * 5692", "solution_steps": ["Add: 7047 + (-6027) = 1020", "Multiply: -43382 * 1020 = -44249640", "Subtract: -3676 - (-44249640) = 44245964", "Multiply: 44245964 * 5692 = 251848027088"], "final_answer": "251848027088", "answer_type": "integer", "kind": "expression", "math_text": "(-3676 - (-43382) * (7047 + (-6027))) * 5692", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3676, \"b\": -43382, \"c\": 7047, \"d\": -6027, \"e\": 5692}", "seed": "9657390244602945906", "semantic_fingerprint": "sha256:70ec117483f98899525a0d2b62f218290985b5e7a31a03ec5dbf17284938670e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003968", "prompt": "Evaluate: -44317 - (6075 / (-97301) - 74141)", "solution_steps": ["Divide: 6075 / (-97301) = -6075/97301", "Subtract: -6075/97301 - 74141 = -7213999516/97301", "Subtract: -44317 - (-7213999516/97301) = 2901911099/97301"], "final_answer": "2901911099/97301", "answer_type": "rational", "kind": "expression", "math_text": "-44317 - (6075 / (-97301) - 74141)", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -44317, \"b\": 6075, \"c\": -97301, \"d\": 74141}", "seed": "10628268948714715129", "semantic_fingerprint": "sha256:7195b6629fcffd6cb785cb65ace4a518a9ec10726e3aafefe3688cf14f607915", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003969", "prompt": "Compute: 77055 / (5916 + (-6682))", "solution_steps": ["Add: 5916 + (-6682) = -766", "Divide: 77055 / (-766) = -77055/766"], "final_answer": "-77055/766", "answer_type": "rational", "kind": "expression", "math_text": "77055 / (5916 + (-6682))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77055, \"b\": 5916, \"c\": -6682}", "seed": "17988086748798392355", "semantic_fingerprint": "sha256:085d449f4929f6467c95a322121557f6c24dff40f6bde861a13437118fcbbb80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003970", "prompt": "What is 3737 * 7912 - (-4969)?", "solution_steps": ["Multiply: 3737 * 7912 = 29567144", "Subtract: 29567144 - (-4969) = 29572113"], "final_answer": "29572113", "answer_type": "integer", "kind": "expression", "math_text": "3737 * 7912 - (-4969)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3737, \"b\": 7912, \"c\": -4969}", "seed": "11884550335795654958", "semantic_fingerprint": "sha256:0cde07f559300370ce78961ee94e956c1a118061ee4bf0f63da00aa9c4879781", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003971", "prompt": "Calculate: -2670 - (12239 + (4537 + (-37760)) * 70143)", "solution_steps": ["Add: 4537 + (-37760) = -33223", "Multiply: -33223 * 70143 = -2330360889", "Add: 12239 + (-2330360889) = -2330348650", "Subtract: -2670 - (-2330348650) = 2330345980"], "final_answer": "2330345980", "answer_type": "integer", "kind": "expression", "math_text": "-2670 - (12239 + (4537 + (-37760)) * 70143)", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2670, \"b\": 12239, \"c\": 4537, \"d\": -37760, \"e\": 70143}", "seed": "4909012339244840223", "semantic_fingerprint": "sha256:e4eaed644e2bb8529794e9f019b6fc9aad1721a79896f1b659522679cffe35e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003972", "prompt": "Calculate: (8178 / (-2724) - (-1762)) / (3994 + (-9184)) + (-4058)", "solution_steps": ["Divide: 8178 / (-2724) = -1363/454", "Subtract: -1363/454 - (-1762) = 798585/454", "Add: 3994 + (-9184) = -5190", "Divide: (798585/454) / (-5190) = -53239/157084", "Add: -53239/157084 + (-4058) = -637500111/157084"], "final_answer": "-637500111/157084", "answer_type": "rational", "kind": "expression", "math_text": "(8178 / (-2724) - (-1762)) / (3994 + (-9184)) + (-4058)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- (/ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8178, \"b\": -2724, \"c\": -1762, \"d\": 3994, \"e\": -9184, \"f\": -4058}", "seed": "7556231823531050447", "semantic_fingerprint": "sha256:95433523540d2a5596561f5a06b355340574f2a539089610f19f018cc753d0de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003973", "prompt": "Find x: x + 98403 = -35x + 95667", "solution_steps": ["Add 35x to both sides: 36x + 98403 = 95667", "Subtract 98403 from both sides: 36x = -2736", "Divide both sides by 36: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 98403 = -35x + 95667", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 98403, \"b\": -35, \"d\": 95667, \"x\": -76}", "seed": "13278691787237991365", "semantic_fingerprint": "sha256:463042de5055fefa0e16a8b00fff0aceec62abfa368b5bafdb3a1a5bce52551b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003974", "prompt": "Solve the equation x + 72882 = 27x + 67942 for x.", "solution_steps": ["Subtract 27x from both sides: -26x + 72882 = 67942", "Subtract 72882 from both sides: -26x = -4940", "Divide both sides by -26: x = 190"], "final_answer": "190", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 72882 = 27x + 67942", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72882, \"b\": 27, \"d\": 67942, \"x\": 190}", "seed": "7923752155264160409", "semantic_fingerprint": "sha256:2b9d273cb23c25d1f6b7899f69fdcafc58837f4505e6721f49fc3baefcaf74d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003975", "prompt": "What is -15964 + (-30674) / 9579 * 2286?", "solution_steps": ["Divide: -30674 / 9579 = -30674/9579", "Multiply: (-30674/9579) * 2286 = -23373588/3193", "Add: -15964 + (-23373588/3193) = -74346640/3193"], "final_answer": "-74346640/3193", "answer_type": "rational", "kind": "expression", "math_text": "-15964 + (-30674) / 9579 * 2286", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15964, \"b\": -30674, \"c\": 9579, \"d\": 2286}", "seed": "3017966319152775932", "semantic_fingerprint": "sha256:80449026f133c761ae13e22e6f7d81a9f383ee557eb38c56badb74461f5d80c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003976", "prompt": "Solve for x: 26(x - 6816) - 1274 = -30x + 46902", "solution_steps": ["Expand: 26x - 177216 - 1274 = -30x + 46902", "Combine constants: 26x - 178490 = -30x + 46902", "Add 30x to both sides: 56x - 178490 = 46902", "Add 178490 to both sides: 56x = 225392", "Divide both sides by 56: x = 28174/7"], "final_answer": "28174/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 6816) - 1274 = -30x + 46902", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 6816, \"c\": 1274, \"d\": -30, \"e\": 46902}", "seed": "6378658756235721097", "semantic_fingerprint": "sha256:5dc385711fa30cae176484d19383e0b4e50250293dae89fbb0fd9136dcf8a029", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003977", "prompt": "Find x: x = 37x - 5580", "solution_steps": ["Subtract 37x from both sides: -36x = -5580", "Divide both sides by -36: x = 155"], "final_answer": "155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 37x - 5580", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": -5580, \"x\": 155}", "seed": "614364720666065534", "semantic_fingerprint": "sha256:037cd99503b56ef82cc6dbf32556c10ea39f3068249cf0943fc306e0959bc40c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003978", "prompt": "Solve the equation -22x = 20(x - 6774) for x.", "solution_steps": ["Expand: -22x = 20x - 135480", "Subtract 20x from both sides: -42x = -135480", "Divide both sides by -42: x = 22580/7"], "final_answer": "22580/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22x = 20(x - 6774)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 20, \"c\": 6774}", "seed": "6324809375102351348", "semantic_fingerprint": "sha256:2ad4a6a68588b9c3211d4eda27a50cd03a1f12ab5a17d2c63e716065411497de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003979", "prompt": "Evaluate: -7856 + (-2758) + (-7975) - (-24598)", "solution_steps": ["Add: -7856 + (-2758) = -10614", "Add: -10614 + (-7975) = -18589", "Subtract: -18589 - (-24598) = 6009"], "final_answer": "6009", "answer_type": "integer", "kind": "expression", "math_text": "-7856 + (-2758) + (-7975) - (-24598)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7856, \"b\": -2758, \"c\": -7975, \"d\": -24598}", "seed": "14870576613008512775", "semantic_fingerprint": "sha256:553b51d3492e2e6c02c2aa9a1cdb705697e5030988b0ae3582773f7f052e8a74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003980", "prompt": "Solve the equation -34x = x + 3185 for x.", "solution_steps": ["Subtract x from both sides: -35x = 3185", "Divide both sides by -35: x = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x = x + 3185", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"c\": 3185, \"x\": -91}", "seed": "10140724450716033247", "semantic_fingerprint": "sha256:de4cf05bac046de9ef3235efd430f1179fd16fb22f89adceba9ee1e91c72316c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003981", "prompt": "Find x: 30(x + 1028) = 20(x - 3288)", "solution_steps": ["Expand: 30x + 30840 = 20(x - 3288)", "Expand: 30x + 30840 = 20x - 65760", "Subtract 20x from both sides: 10x + 30840 = -65760", "Subtract 30840 from both sides: 10x = -96600", "Divide both sides by 10: x = -9660"], "final_answer": "-9660", "answer_type": "integer", "kind": "linear_equation", "math_text": "30(x + 1028) = 20(x - 3288)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 1028, \"c\": 20, \"d\": 3288}", "seed": "10731456616701984093", "semantic_fingerprint": "sha256:58d2748673273cd77cd2901cf6c822fc3832bd9b2c249f5809711f1f4efd1126", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003982", "prompt": "Solve the equation 24(x + 3047) = -38x for x.", "solution_steps": ["Expand: 24x + 73128 = -38x", "Add 38x to both sides: 62x + 73128 = 0", "Subtract 73128 from both sides: 62x = -73128", "Divide both sides by 62: x = -36564/31"], "final_answer": "-36564/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 3047) = -38x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 3047, \"c\": -38}", "seed": "6937732926675726267", "semantic_fingerprint": "sha256:7103a3524137202c4af7f7a07692503ca7d4050c63ab0c50e0b4be7cdb020b93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003983", "prompt": "What is 26956 - (-4917) / 83196?", "solution_steps": ["Divide: -4917 / 83196 = -1639/27732", "Subtract: 26956 - (-1639/27732) = 747545431/27732"], "final_answer": "747545431/27732", "answer_type": "rational", "kind": "expression", "math_text": "26956 - (-4917) / 83196", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26956, \"b\": -4917, \"c\": 83196}", "seed": "14729997293473585532", "semantic_fingerprint": "sha256:ea0bc3e8fcdb59cf3284926fc5f3e93ee4cbe22429ec38f7a59d73455c4df7e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003984", "prompt": "Compute: (2711 + 58544) * (-26436 + (-6882))", "solution_steps": ["Add: 2711 + 58544 = 61255", "Add: -26436 + (-6882) = -33318", "Multiply: 61255 * (-33318) = -2040894090"], "final_answer": "-2040894090", "answer_type": "integer", "kind": "expression", "math_text": "(2711 + 58544) * (-26436 + (-6882))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2711, \"b\": 58544, \"c\": -26436, \"d\": -6882}", "seed": "4092813791380387611", "semantic_fingerprint": "sha256:ad55bc1127e01047f16b8c602c6b92345fba8e1ed2dec3297816d6ddd2bcd5a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003985", "prompt": "Evaluate: 72183 - (-6910)", "solution_steps": ["Subtract: 72183 - (-6910) = 79093"], "final_answer": "79093", "answer_type": "integer", "kind": "expression", "math_text": "72183 - (-6910)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 72183, \"b\": -6910}", "seed": "1783858322848210087", "semantic_fingerprint": "sha256:0edf84501002179e798763c2719606fcf6cdca03ef3bb31ac9f965dc54cc77a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003986", "prompt": "What value of x satisfies 22(x - 7928) = -70628?", "solution_steps": ["Expand: 22x - 174416 = -70628", "Add 174416 to both sides: 22x = 103788", "Divide both sides by 22: x = 51894/11"], "final_answer": "51894/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 7928) = -70628", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 7928, \"c\": -70628}", "seed": "17824316439455472226", "semantic_fingerprint": "sha256:96c888658135ea4b576915951e745510aa1dacbb7b34124072f2b34f18f7d2aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003987", "prompt": "Calculate: -6738 - (-29923)", "solution_steps": ["Subtract: -6738 - (-29923) = 23185"], "final_answer": "23185", "answer_type": "integer", "kind": "expression", "math_text": "-6738 - (-29923)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6738, \"b\": -29923}", "seed": "12020072209334369729", "semantic_fingerprint": "sha256:8bc391aa62098c1fee02b12c848eaa12048cf7b156e7754707344364e5121fe6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003988", "prompt": "What value of x satisfies -19x = x - 1720?", "solution_steps": ["Subtract x from both sides: -20x = -1720", "Divide both sides by -20: x = 86"], "final_answer": "86", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x = x - 1720", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"c\": -1720, \"x\": 86}", "seed": "1413933678658033506", "semantic_fingerprint": "sha256:8c1f75ae53da7cf499e1b79bfb178da1c4188f24a1688ea2d61589545d4c4550", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003989", "prompt": "Calculate: 91886 * 9808 - 56250 * (-6851)", "solution_steps": ["Multiply: 91886 * 9808 = 901217888", "Multiply: 56250 * (-6851) = -385368750", "Subtract: 901217888 - (-385368750) = 1286586638"], "final_answer": "1286586638", "answer_type": "integer", "kind": "expression", "math_text": "91886 * 9808 - 56250 * (-6851)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 91886, \"b\": 9808, \"c\": 56250, \"d\": -6851}", "seed": "5210337802921036551", "semantic_fingerprint": "sha256:bd141bac4d9f56c44d50671fa89a5e37ff9ddeb2f3bb2e9a3786f583c4c734cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003990", "prompt": "Solve for x: x - 14496 = 13(x - 7786) - 8327", "solution_steps": ["Expand: x - 14496 = 13x - 101218 - 8327", "Combine constants: x - 14496 = 13x - 109545", "Subtract 13x from both sides: -12x - 14496 = -109545", "Add 14496 to both sides: -12x = -95049", "Divide both sides by -12: x = 31683/4"], "final_answer": "31683/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 14496 = 13(x - 7786) - 8327", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14496, \"b\": 13, \"c\": 7786, \"d\": 8327}", "seed": "11884382588578226516", "semantic_fingerprint": "sha256:4a332b9251a8fe0084bfb0b8582e0abf70061b551f07b2572edda55f41024968", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003991", "prompt": "Compute: 1337 + 89306", "solution_steps": ["Add: 1337 + 89306 = 90643"], "final_answer": "90643", "answer_type": "integer", "kind": "expression", "math_text": "1337 + 89306", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1337, \"b\": 89306}", "seed": "10729007131907300674", "semantic_fingerprint": "sha256:8531a60560a9948416e5c87e2410a015252fd29c099910b8b68f3b591675c1b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003992", "prompt": "Evaluate: -29161 - (-4692) - 6142 + (-9989)", "solution_steps": ["Subtract: -29161 - (-4692) = -24469", "Subtract: -24469 - 6142 = -30611", "Add: -30611 + (-9989) = -40600"], "final_answer": "-40600", "answer_type": "integer", "kind": "expression", "math_text": "-29161 - (-4692) - 6142 + (-9989)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29161, \"b\": -4692, \"c\": 6142, \"d\": -9989}", "seed": "4082375344946478902", "semantic_fingerprint": "sha256:4b4b63716b5e8cf93b34567ede797d87f4a38d2fa7eeb30566408dcc651d3514", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003993", "prompt": "Compute: (85601 + 7887) * (-54374 + 4410)", "solution_steps": ["Add: 85601 + 7887 = 93488", "Add: -54374 + 4410 = -49964", "Multiply: 93488 * (-49964) = -4671034432"], "final_answer": "-4671034432", "answer_type": "integer", "kind": "expression", "math_text": "(85601 + 7887) * (-54374 + 4410)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 85601, \"b\": 7887, \"c\": -54374, \"d\": 4410}", "seed": "6679678348433703631", "semantic_fingerprint": "sha256:03e82add40b32e65c34f344ec76740b4d4f306dea7cf94520e6de5c72aa9ed63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003994", "prompt": "Compute: -2870 * (1663 / (-1678))", "solution_steps": ["Divide: 1663 / (-1678) = -1663/1678", "Multiply: -2870 * (-1663/1678) = 2386405/839"], "final_answer": "2386405/839", "answer_type": "rational", "kind": "expression", "math_text": "-2870 * (1663 / (-1678))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2870, \"b\": 1663, \"c\": -1678}", "seed": "10276220407888333151", "semantic_fingerprint": "sha256:8ed2340501f90c8333c84fc7ea7834fa6d1fbf7b6ba26d2f6e2fd40310eeaa7a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003995", "prompt": "Evaluate: -82084 / 1215", "solution_steps": ["Divide: -82084 / 1215 = -82084/1215"], "final_answer": "-82084/1215", "answer_type": "rational", "kind": "expression", "math_text": "-82084 / 1215", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -82084, \"b\": 1215}", "seed": "14110826819717236356", "semantic_fingerprint": "sha256:9f6503b4b959918f6cc58318915ccf8cd728dd15f9e8056b9f1ac83e321d0781", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003996", "prompt": "Calculate: -3684 / (-72539)", "solution_steps": ["Divide: -3684 / (-72539) = 3684/72539"], "final_answer": "3684/72539", "answer_type": "rational", "kind": "expression", "math_text": "-3684 / (-72539)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3684, \"b\": -72539}", "seed": "5634001791026262960", "semantic_fingerprint": "sha256:b3422d2044d0c9ed54dbd9c91c8a1123e31bae5f3ce97d0f177a0b69552eb63e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003997", "prompt": "Solve for x: 22x + 1485 = -23x", "solution_steps": ["Add 23x to both sides: 45x + 1485 = 0", "Subtract 1485 from both sides: 45x = -1485", "Divide both sides by 45: x = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x + 1485 = -23x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": -23, \"d\": 1485, \"x\": -33}", "seed": "15514205723075934290", "semantic_fingerprint": "sha256:2cb37f8b680068797f15d6ae993e3d12b15980548caaf06b0aaaeb069a217180", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003998", "prompt": "Evaluate: 6019 * (-1487)", "solution_steps": ["Multiply: 6019 * (-1487) = -8950253"], "final_answer": "-8950253", "answer_type": "integer", "kind": "expression", "math_text": "6019 * (-1487)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6019, \"b\": -1487}", "seed": "4969785534985380231", "semantic_fingerprint": "sha256:c8f8dc6aa89d52c9193ed088233e5b18fbb146ededb2e3f7ce97f568c743d129", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00003999", "prompt": "Solve for x: 37x - 5544 = x", "solution_steps": ["Subtract x from both sides: 36x - 5544 = 0", "Add 5544 to both sides: 36x = 5544", "Divide both sides by 36: x = 154"], "final_answer": "154", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x - 5544 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": -5544, \"x\": 154}", "seed": "675325216687498924", "semantic_fingerprint": "sha256:08ed923d767b75f05f70194081f6642daed9663d61fb195f6a34fa12f5a03b86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004000", "prompt": "Evaluate: -1178 / 55322", "solution_steps": ["Divide: -1178 / 55322 = -589/27661"], "final_answer": "-589/27661", "answer_type": "rational", "kind": "expression", "math_text": "-1178 / 55322", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1178, \"b\": 55322}", "seed": "5865613495789401600", "semantic_fingerprint": "sha256:4269f85d4130d65671656f504b3796a1affc7d6a00b510bd225f688184e7ee3a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004001", "prompt": "What is 3388 * 8193 - (-6807 - (-7492))?", "solution_steps": ["Multiply: 3388 * 8193 = 27757884", "Subtract: -6807 - (-7492) = 685", "Subtract: 27757884 - 685 = 27757199"], "final_answer": "27757199", "answer_type": "integer", "kind": "expression", "math_text": "3388 * 8193 - (-6807 - (-7492))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3388, \"b\": 8193, \"c\": -6807, \"d\": -7492}", "seed": "17891340315685135101", "semantic_fingerprint": "sha256:21068463af7da476359d8d50cd361ab4bf9254cf6d775fa4433946eb9715a255", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004002", "prompt": "Compute: -1473 / (-94755)", "solution_steps": ["Divide: -1473 / (-94755) = 491/31585"], "final_answer": "491/31585", "answer_type": "rational", "kind": "expression", "math_text": "-1473 / (-94755)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1473, \"b\": -94755}", "seed": "3548201264549288050", "semantic_fingerprint": "sha256:62d7c117e857f5f5b0f343eebc375f42b6d481bc2748b3575ddb119bd2772f3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004003", "prompt": "Evaluate: 4726 / (-8264 / 29286)", "solution_steps": ["Divide: -8264 / 29286 = -4132/14643", "Divide: 4726 / (-4132/14643) = -34601409/2066"], "final_answer": "-34601409/2066", "answer_type": "rational", "kind": "expression", "math_text": "4726 / (-8264 / 29286)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4726, \"b\": -8264, \"c\": 29286}", "seed": "16199754793930924404", "semantic_fingerprint": "sha256:ee08dba93443536bc17fd3573022a928395f8ba7c40fb064e7b09c7808241ecc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004004", "prompt": "Evaluate: 44682 - 8445 + (-8123) / 59019 - (-7264)", "solution_steps": ["Subtract: 44682 - 8445 = 36237", "Divide: -8123 / 59019 = -8123/59019", "Add: 36237 + (-8123/59019) = 2138663380/59019", "Subtract: 2138663380/59019 - (-7264) = 2567377396/59019"], "final_answer": "2567377396/59019", "answer_type": "rational", "kind": "expression", "math_text": "44682 - 8445 + (-8123) / 59019 - (-7264)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 44682, \"b\": 8445, \"c\": -8123, \"d\": 59019, \"e\": -7264}", "seed": "2801847974984675975", "semantic_fingerprint": "sha256:f3616070e11f6311d355249796b0ca4cff55e66c8d4c3d2c880d5bb6f10fcbae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004005", "prompt": "Evaluate: 2461 / (9889 / (3530 + (-1604)))", "solution_steps": ["Add: 3530 + (-1604) = 1926", "Divide: 9889 / 1926 = 9889/1926", "Divide: 2461 / (9889/1926) = 4739886/9889"], "final_answer": "4739886/9889", "answer_type": "rational", "kind": "expression", "math_text": "2461 / (9889 / (3530 + (-1604)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2461, \"b\": 9889, \"c\": 3530, \"d\": -1604}", "seed": "6866961272464988925", "semantic_fingerprint": "sha256:58a080b8fed71df9d79785af27b8a74eb90c702cfd5a89b4da8dfe50f2061262", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004006", "prompt": "Evaluate: -58674 + (-7298) - 6607", "solution_steps": ["Add: -58674 + (-7298) = -65972", "Subtract: -65972 - 6607 = -72579"], "final_answer": "-72579", "answer_type": "integer", "kind": "expression", "math_text": "-58674 + (-7298) - 6607", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -58674, \"b\": -7298, \"c\": 6607}", "seed": "6070330272567155690", "semantic_fingerprint": "sha256:5b026fdc727a50db245dee08ec84fc418c625ccf8379342b595a6c37b0031f20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004007", "prompt": "Calculate: 36325 * (-90657 - (-6102))", "solution_steps": ["Subtract: -90657 - (-6102) = -84555", "Multiply: 36325 * (-84555) = -3071460375"], "final_answer": "-3071460375", "answer_type": "integer", "kind": "expression", "math_text": "36325 * (-90657 - (-6102))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36325, \"b\": -90657, \"c\": -6102}", "seed": "10592314376443702871", "semantic_fingerprint": "sha256:161bf79a38bd990b97bfb75877e0ba697830c4feb1fccf1c4892e3bbd7f2dc71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004008", "prompt": "Evaluate: (5111 - 49498) / (-4585) * 9793 + 6135", "solution_steps": ["Subtract: 5111 - 49498 = -44387", "Divide: -44387 / (-4585) = 6341/655", "Multiply: (6341/655) * 9793 = 62097413/655", "Add: 62097413/655 + 6135 = 66115838/655"], "final_answer": "66115838/655", "answer_type": "rational", "kind": "expression", "math_text": "(5111 - 49498) / (-4585) * 9793 + 6135", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5111, \"b\": 49498, \"c\": -4585, \"d\": 9793, \"e\": 6135}", "seed": "6195062092670678556", "semantic_fingerprint": "sha256:f0ac46e2725e2607fda25e3e62f0d3f447951b7a3949b4953630fbd21bc7ab41", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004009", "prompt": "Evaluate: -3978 * (-4871) / (3128 * (-9633))", "solution_steps": ["Multiply: -3978 * (-4871) = 19376838", "Multiply: 3128 * (-9633) = -30132024", "Divide: 19376838 / (-30132024) = -14613/22724"], "final_answer": "-14613/22724", "answer_type": "rational", "kind": "expression", "math_text": "-3978 * (-4871) / (3128 * (-9633))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3978, \"b\": -4871, \"c\": 3128, \"d\": -9633}", "seed": "10254837788458000157", "semantic_fingerprint": "sha256:101d63808f4b2ac7e99101302614bce943ba5f163d709224da7748f313e53444", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004010", "prompt": "Find x: 38x + 4736 = x", "solution_steps": ["Subtract x from both sides: 37x + 4736 = 0", "Subtract 4736 from both sides: 37x = -4736", "Divide both sides by 37: x = -128"], "final_answer": "-128", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 4736 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 4736, \"x\": -128}", "seed": "7025272354752064713", "semantic_fingerprint": "sha256:b55f459d0ea4964db17c2c73d95c045accfe63d656de4c22b68ce735b5d8a259", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004011", "prompt": "Calculate: -35530 + 31387 - (-8164)", "solution_steps": ["Add: -35530 + 31387 = -4143", "Subtract: -4143 - (-8164) = 4021"], "final_answer": "4021", "answer_type": "integer", "kind": "expression", "math_text": "-35530 + 31387 - (-8164)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35530, \"b\": 31387, \"c\": -8164}", "seed": "14483596226472149974", "semantic_fingerprint": "sha256:9f8fa63d3d14b8f88ad615db0e2da0cac89363e6df278de5e6741411a58c6cca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004012", "prompt": "What is 7700 + (-96314 / (-32270) - (-3732))?", "solution_steps": ["Divide: -96314 / (-32270) = 48157/16135", "Subtract: 48157/16135 - (-3732) = 60263977/16135", "Add: 7700 + 60263977/16135 = 184503477/16135"], "final_answer": "184503477/16135", "answer_type": "rational", "kind": "expression", "math_text": "7700 + (-96314 / (-32270) - (-3732))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7700, \"b\": -96314, \"c\": -32270, \"d\": -3732}", "seed": "5834289363306789525", "semantic_fingerprint": "sha256:df7e61c637c72f760c290812634644aad19d89ad0bdd253a75cbc891a37832fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004013", "prompt": "Compute: 80372 - (9572 + 2964 + (-7735) * (-2879) + (-35428))", "solution_steps": ["Add: 9572 + 2964 = 12536", "Multiply: -7735 * (-2879) = 22269065", "Add: 12536 + 22269065 = 22281601", "Add: 22281601 + (-35428) = 22246173", "Subtract: 80372 - 22246173 = -22165801"], "final_answer": "-22165801", "answer_type": "integer", "kind": "expression", "math_text": "80372 - (9572 + 2964 + (-7735) * (-2879) + (-35428))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (+ n n) (* n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 80372, \"b\": 9572, \"c\": 2964, \"d\": -7735, \"e\": -2879, \"f\": -35428}", "seed": "14560247135328464908", "semantic_fingerprint": "sha256:316676ca0f134d2d766537d08049e074bf1839f02fe8db4fae2b687c46e3ef13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004014", "prompt": "Solve the equation 13(x - 6230) + 3450 = x - 79688 for x.", "solution_steps": ["Expand: 13x - 80990 + 3450 = x - 79688", "Combine constants: 13x - 77540 = x - 79688", "Subtract x from both sides: 12x - 77540 = -79688", "Add 77540 to both sides: 12x = -2148", "Divide both sides by 12: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x - 6230) + 3450 = x - 79688", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 6230, \"c\": 3450, \"e\": -79688, \"x\": -179}", "seed": "658959333458695687", "semantic_fingerprint": "sha256:76a9cc81e2e0e2ab968748b3fcef5a60f9ab0eda8eacb7079c3d6d8009a20346", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004015", "prompt": "What is 7600 - (98908 - (-3840))?", "solution_steps": ["Subtract: 98908 - (-3840) = 102748", "Subtract: 7600 - 102748 = -95148"], "final_answer": "-95148", "answer_type": "integer", "kind": "expression", "math_text": "7600 - (98908 - (-3840))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7600, \"b\": 98908, \"c\": -3840}", "seed": "796644253417089396", "semantic_fingerprint": "sha256:31e80b41339885e51194ed4ec0938d0276fd6ec77c90605953cb6a4646024859", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004016", "prompt": "What is 43730 + 50723 - (-30575) / (-25887)?", "solution_steps": ["Add: 43730 + 50723 = 94453", "Divide: -30575 / (-25887) = 30575/25887", "Subtract: 94453 - 30575/25887 = 2445074236/25887"], "final_answer": "2445074236/25887", "answer_type": "rational", "kind": "expression", "math_text": "43730 + 50723 - (-30575) / (-25887)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 43730, \"b\": 50723, \"c\": -30575, \"d\": -25887}", "seed": "12745066615933663868", "semantic_fingerprint": "sha256:ca10838f5d976981501eefd78465ef726443ddcf3276219a171ec74bc86c0b86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004017", "prompt": "Calculate: -64543 - (-6023) + (42212 + (7479 + 1095))", "solution_steps": ["Subtract: -64543 - (-6023) = -58520", "Add: 7479 + 1095 = 8574", "Add: 42212 + 8574 = 50786", "Add: -58520 + 50786 = -7734"], "final_answer": "-7734", "answer_type": "integer", "kind": "expression", "math_text": "-64543 - (-6023) + (42212 + (7479 + 1095))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -64543, \"b\": -6023, \"c\": 42212, \"d\": 7479, \"e\": 1095}", "seed": "16697108464166010883", "semantic_fingerprint": "sha256:ea6c55ce8b7992984e14edf9fd98f5d69680413ddb53e870d7988f54af39ac9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004018", "prompt": "What is 40422 + (-4289 - 18030)?", "solution_steps": ["Subtract: -4289 - 18030 = -22319", "Add: 40422 + (-22319) = 18103"], "final_answer": "18103", "answer_type": "integer", "kind": "expression", "math_text": "40422 + (-4289 - 18030)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40422, \"b\": -4289, \"c\": 18030}", "seed": "2347063563744402194", "semantic_fingerprint": "sha256:5cb41dde6c318fef885e37df9c1d1fc5345be1fdb2fc46e7c34a32c7fe560b58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004019", "prompt": "What is 7118 / (54799 + (-7248) + (-9835)) - 5606?", "solution_steps": ["Add: 54799 + (-7248) = 47551", "Add: 47551 + (-9835) = 37716", "Divide: 7118 / 37716 = 3559/18858", "Subtract: 3559/18858 - 5606 = -105714389/18858"], "final_answer": "-105714389/18858", "answer_type": "rational", "kind": "expression", "math_text": "7118 / (54799 + (-7248) + (-9835)) - 5606", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7118, \"b\": 54799, \"c\": -7248, \"d\": -9835, \"e\": 5606}", "seed": "15080344190205577116", "semantic_fingerprint": "sha256:027ed3355e2a5b8fc6e3645b1222109fe3a65c9c8e9182bbd558b838cc6baa19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004020", "prompt": "Evaluate: 62065 * (5635 / (-82641))", "solution_steps": ["Divide: 5635 / (-82641) = -5635/82641", "Multiply: 62065 * (-5635/82641) = -349736275/82641"], "final_answer": "-349736275/82641", "answer_type": "rational", "kind": "expression", "math_text": "62065 * (5635 / (-82641))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 62065, \"b\": 5635, \"c\": -82641}", "seed": "869829780741491803", "semantic_fingerprint": "sha256:8bfe871f4d9a4b1861eb42ccdbdc6da8cd0de041f58c61dc8046d8264db7b0f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004021", "prompt": "What value of x satisfies 20x + 1903 = -25(x - 1581) + 87408?", "solution_steps": ["Expand: 20x + 1903 = -25x + 39525 + 87408", "Combine constants: 20x + 1903 = -25x + 126933", "Add 25x to both sides: 45x + 1903 = 126933", "Subtract 1903 from both sides: 45x = 125030", "Divide both sides by 45: x = 25006/9"], "final_answer": "25006/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x + 1903 = -25(x - 1581) + 87408", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1903, \"c\": -25, \"d\": 1581, \"e\": 87408}", "seed": "6363730362593394997", "semantic_fingerprint": "sha256:7284f18ba669fb3eee25fca1ee7e535b0be4f2847ba9ea883e66722fcf866607", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004022", "prompt": "What value of x satisfies 22x - 3264 = x + 5605?", "solution_steps": ["Subtract x from both sides: 21x - 3264 = 5605", "Add 3264 to both sides: 21x = 8869", "Divide both sides by 21: x = 1267/3"], "final_answer": "1267/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "22x - 3264 = x + 5605", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 3264, \"c\": 5605}", "seed": "8438721138757807214", "semantic_fingerprint": "sha256:813629b203dfe985d6bed3f42183def5dd0e10b98eea9482ab5d6e92f9a2a04a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004023", "prompt": "What is -8120 + 6040?", "solution_steps": ["Add: -8120 + 6040 = -2080"], "final_answer": "-2080", "answer_type": "integer", "kind": "expression", "math_text": "-8120 + 6040", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8120, \"b\": 6040}", "seed": "5296982221344790244", "semantic_fingerprint": "sha256:43fa7638fcc25c3b194694136b1cf380516a0efb07d792f6b15df27f2ea40770", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004024", "prompt": "What is 6039 + (-5211) / (-4395) - (2513 + 91043)?", "solution_steps": ["Divide: -5211 / (-4395) = 1737/1465", "Add: 6039 + 1737/1465 = 8848872/1465", "Add: 2513 + 91043 = 93556", "Subtract: 8848872/1465 - 93556 = -128210668/1465"], "final_answer": "-128210668/1465", "answer_type": "rational", "kind": "expression", "math_text": "6039 + (-5211) / (-4395) - (2513 + 91043)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6039, \"b\": -5211, \"c\": -4395, \"d\": 2513, \"e\": 91043}", "seed": "16437901255175248248", "semantic_fingerprint": "sha256:9a99273427dea5889dd5758d10014541a1384276c8dc6f978948a50e9dff0538", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004025", "prompt": "Calculate: 2760 * (98748 / 1103 - 57785)", "solution_steps": ["Divide: 98748 / 1103 = 98748/1103", "Subtract: 98748/1103 - 57785 = -63638107/1103", "Multiply: 2760 * (-63638107/1103) = -175641175320/1103"], "final_answer": "-175641175320/1103", "answer_type": "rational", "kind": "expression", "math_text": "2760 * (98748 / 1103 - 57785)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2760, \"b\": 98748, \"c\": 1103, \"d\": 57785}", "seed": "1939028648755437529", "semantic_fingerprint": "sha256:9b6330c4a2aa8d8c079f8249fd0f3ad8557abea87882d4895482d7ed7956e01a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004026", "prompt": "Evaluate: (-5868 + 8781) * (26153 + (-2305))", "solution_steps": ["Add: -5868 + 8781 = 2913", "Add: 26153 + (-2305) = 23848", "Multiply: 2913 * 23848 = 69469224"], "final_answer": "69469224", "answer_type": "integer", "kind": "expression", "math_text": "(-5868 + 8781) * (26153 + (-2305))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5868, \"b\": 8781, \"c\": 26153, \"d\": -2305}", "seed": "1238285045874405294", "semantic_fingerprint": "sha256:b2f71365b36003bf4115f2f313f0991fbaec7ed763a9ff57d6dd2bae63c37c39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004027", "prompt": "Compute: -8217 / 8376", "solution_steps": ["Divide: -8217 / 8376 = -2739/2792"], "final_answer": "-2739/2792", "answer_type": "rational", "kind": "expression", "math_text": "-8217 / 8376", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8217, \"b\": 8376}", "seed": "14095911283156103194", "semantic_fingerprint": "sha256:63927468718ef6ef990b3754345d56112f541b1b19f5b50426b0d70b0e58f010", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004028", "prompt": "Evaluate: 2868 - (-6936) * (-6339)", "solution_steps": ["Multiply: -6936 * (-6339) = 43967304", "Subtract: 2868 - 43967304 = -43964436"], "final_answer": "-43964436", "answer_type": "integer", "kind": "expression", "math_text": "2868 - (-6936) * (-6339)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2868, \"b\": -6936, \"c\": -6339}", "seed": "3714064890824497512", "semantic_fingerprint": "sha256:f17152c6a65e3230b577e860596fbb2504ede7bd021f35dc2628bab39ac4f4f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004029", "prompt": "Compute: 6116 + 2866 - 36715 * (-9027)", "solution_steps": ["Add: 6116 + 2866 = 8982", "Multiply: 36715 * (-9027) = -331426305", "Subtract: 8982 - (-331426305) = 331435287"], "final_answer": "331435287", "answer_type": "integer", "kind": "expression", "math_text": "6116 + 2866 - 36715 * (-9027)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6116, \"b\": 2866, \"c\": 36715, \"d\": -9027}", "seed": "10132236903523441108", "semantic_fingerprint": "sha256:0a9570c30b4ad8a8ea054af919974e276f80618bb6b8a203b68402aa45068e25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004030", "prompt": "Calculate: -6618 * (-1921 / (-9091))", "solution_steps": ["Divide: -1921 / (-9091) = 1921/9091", "Multiply: -6618 * (1921/9091) = -12713178/9091"], "final_answer": "-12713178/9091", "answer_type": "rational", "kind": "expression", "math_text": "-6618 * (-1921 / (-9091))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6618, \"b\": -1921, \"c\": -9091}", "seed": "5249851459218945850", "semantic_fingerprint": "sha256:4ba7d52df1bec391333d2b68b491210399daadfe7e647e679cdcb79eb7fad009", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004031", "prompt": "Find x: x = 17(x + 7389)", "solution_steps": ["Expand: x = 17x + 125613", "Subtract 17x from both sides: -16x = 125613", "Divide both sides by -16: x = -125613/16"], "final_answer": "-125613/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 17(x + 7389)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 7389}", "seed": "15809143770467569513", "semantic_fingerprint": "sha256:e44f262d04053942f943e3673d854fa87134d456670699c687c71f9d6144d10d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004032", "prompt": "Calculate: -33352 - 7861 - (-7311)", "solution_steps": ["Subtract: -33352 - 7861 = -41213", "Subtract: -41213 - (-7311) = -33902"], "final_answer": "-33902", "answer_type": "integer", "kind": "expression", "math_text": "-33352 - 7861 - (-7311)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33352, \"b\": 7861, \"c\": -7311}", "seed": "18376607094378325805", "semantic_fingerprint": "sha256:8c6b93ca3880f09cbf82ed800753525d2573453749cdf04a3032e2093c8d9687", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004033", "prompt": "What value of x satisfies -21(x - 24027) + 21368 = 25(x - 9470) - 37146?", "solution_steps": ["Expand: -21x + 504567 + 21368 = 25(x - 9470) - 37146", "Expand: -21x + 504567 + 21368 = 25x - 236750 - 37146", "Combine constants: -21x + 525935 = 25x - 236750 - 37146", "Combine constants: -21x + 525935 = 25x - 273896", "Subtract 25x from both sides: -46x + 525935 = -273896", "Subtract 525935 from both sides: -46x = -799831", "Divide both sides by -46: x = 799831/46"], "final_answer": "799831/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 24027) + 21368 = 25(x - 9470) - 37146", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 24027, \"c\": 21368, \"d\": 25, \"e\": 9470, \"f\": 37146}", "seed": "3989195175391094654", "semantic_fingerprint": "sha256:8fcc8e1a2ec66841e67f784411a077d9ae14e0574ae93b2e6aae6d2b308641c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004034", "prompt": "Find x: -14x - 7458 = 14(x + 2992) - 66668", "solution_steps": ["Expand: -14x - 7458 = 14x + 41888 - 66668", "Combine constants: -14x - 7458 = 14x - 24780", "Subtract 14x from both sides: -28x - 7458 = -24780", "Add 7458 to both sides: -28x = -17322", "Divide both sides by -28: x = 8661/14"], "final_answer": "8661/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14x - 7458 = 14(x + 2992) - 66668", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 7458, \"c\": 14, \"d\": 2992, \"e\": 66668}", "seed": "15954022465961943046", "semantic_fingerprint": "sha256:e42d4c4df6c4694b28ac4b882d2498aae5d92a87a3b5ff3de3e0b1efe2482563", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004035", "prompt": "What is -1623 - 2266 + (-93057)?", "solution_steps": ["Subtract: -1623 - 2266 = -3889", "Add: -3889 + (-93057) = -96946"], "final_answer": "-96946", "answer_type": "integer", "kind": "expression", "math_text": "-1623 - 2266 + (-93057)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1623, \"b\": 2266, \"c\": -93057}", "seed": "15688988752349280981", "semantic_fingerprint": "sha256:036025b8b36ddd12a387d8a3b968fa4b21365871948d0ff2df99ab755c929fe4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004036", "prompt": "Solve for x: -30x = 23x", "solution_steps": ["Subtract 23x from both sides: -53x = 0", "Divide both sides by -53: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x = 23x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 23}", "seed": "17928513545611358846", "semantic_fingerprint": "sha256:42f6e6db7957bb74f61ce4fed3a0b31180cbd55848739fb7ff00c298d14faa11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004037", "prompt": "Calculate: (74153 - (-6182)) / (-93015)", "solution_steps": ["Subtract: 74153 - (-6182) = 80335", "Divide: 80335 / (-93015) = -16067/18603"], "final_answer": "-16067/18603", "answer_type": "rational", "kind": "expression", "math_text": "(74153 - (-6182)) / (-93015)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 74153, \"b\": -6182, \"c\": -93015}", "seed": "11807540337110332707", "semantic_fingerprint": "sha256:e79a5b7d14e1ff4e2f1dc2ed5d2832c838517b17c8fc5475c6628c5feec9ae4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004038", "prompt": "Evaluate: (16705 - (-8500)) * (-3998 + (-9871))", "solution_steps": ["Subtract: 16705 - (-8500) = 25205", "Add: -3998 + (-9871) = -13869", "Multiply: 25205 * (-13869) = -349568145"], "final_answer": "-349568145", "answer_type": "integer", "kind": "expression", "math_text": "(16705 - (-8500)) * (-3998 + (-9871))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16705, \"b\": -8500, \"c\": -3998, \"d\": -9871}", "seed": "16494330078528032810", "semantic_fingerprint": "sha256:97710a7d1ef9c7b5a9fee488b618aac1ae5e6ca4f69f837b120ce9c3b1b32933", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004039", "prompt": "Solve for x: x - 1653 = -26(x + 9827) - 7051", "solution_steps": ["Expand: x - 1653 = -26x - 255502 - 7051", "Combine constants: x - 1653 = -26x - 262553", "Add 26x to both sides: 27x - 1653 = -262553", "Add 1653 to both sides: 27x = -260900", "Divide both sides by 27: x = -260900/27"], "final_answer": "-260900/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1653 = -26(x + 9827) - 7051", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1653, \"b\": -26, \"c\": 9827, \"d\": 7051}", "seed": "16799488342534224024", "semantic_fingerprint": "sha256:0699b8327a65621a6ed00015dce42287f6faef7115089136dfeb0323a4abe66b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004040", "prompt": "Evaluate: -77005 + 9719", "solution_steps": ["Add: -77005 + 9719 = -67286"], "final_answer": "-67286", "answer_type": "integer", "kind": "expression", "math_text": "-77005 + 9719", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -77005, \"b\": 9719}", "seed": "10333276372010462879", "semantic_fingerprint": "sha256:1590131fc001dd69833ffe43c25f98dbb234ce8500344e38acdf33de663e9ba7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004041", "prompt": "Evaluate: -85927 - (9706 - (-5517) + (-23430)) * 8855", "solution_steps": ["Subtract: 9706 - (-5517) = 15223", "Add: 15223 + (-23430) = -8207", "Multiply: -8207 * 8855 = -72672985", "Subtract: -85927 - (-72672985) = 72587058"], "final_answer": "72587058", "answer_type": "integer", "kind": "expression", "math_text": "-85927 - (9706 - (-5517) + (-23430)) * 8855", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85927, \"b\": 9706, \"c\": -5517, \"d\": -23430, \"e\": 8855}", "seed": "16768857563615094321", "semantic_fingerprint": "sha256:ccf1c1011f434754b11f6cf4d3d2d0f390d143e56d70870de1bc4dba225d17ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004042", "prompt": "What is (-49243 + (-5758)) * 4756?", "solution_steps": ["Add: -49243 + (-5758) = -55001", "Multiply: -55001 * 4756 = -261584756"], "final_answer": "-261584756", "answer_type": "integer", "kind": "expression", "math_text": "(-49243 + (-5758)) * 4756", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49243, \"b\": -5758, \"c\": 4756}", "seed": "3997536901271375314", "semantic_fingerprint": "sha256:44fe8a9841d4819e204e81585368ee61a76822ceaf0f6b4f9a56a585d2597e08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004043", "prompt": "Solve for x: x = 37(x - 11867)", "solution_steps": ["Expand: x = 37x - 439079", "Subtract 37x from both sides: -36x = -439079", "Divide both sides by -36: x = 439079/36"], "final_answer": "439079/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x - 11867)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 11867}", "seed": "13089357280299374011", "semantic_fingerprint": "sha256:64aba7061dc7b4ff3f3883572579a5fcf1769f2597523d7ffa9a55bb9434bd7a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004044", "prompt": "Evaluate: -45868 / (33700 / (-13435))", "solution_steps": ["Divide: 33700 / (-13435) = -6740/2687", "Divide: -45868 / (-6740/2687) = 30811829/1685"], "final_answer": "30811829/1685", "answer_type": "rational", "kind": "expression", "math_text": "-45868 / (33700 / (-13435))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45868, \"b\": 33700, \"c\": -13435}", "seed": "10856576468906934836", "semantic_fingerprint": "sha256:7912faef2dcafc36a67df39dce7a56938880d88edc750b7588e7232c8a542020", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004045", "prompt": "Solve for x: -23(x + 82061) = 17(x - 6013) - 54460", "solution_steps": ["Expand: -23x - 1887403 = 17(x - 6013) - 54460", "Expand: -23x - 1887403 = 17x - 102221 - 54460", "Combine constants: -23x - 1887403 = 17x - 156681", "Subtract 17x from both sides: -40x - 1887403 = -156681", "Add 1887403 to both sides: -40x = 1730722", "Divide both sides by -40: x = -865361/20"], "final_answer": "-865361/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 82061) = 17(x - 6013) - 54460", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 82061, \"c\": 17, \"d\": 6013, \"e\": 54460}", "seed": "7384564782919502365", "semantic_fingerprint": "sha256:a0ad25e2a5d592b4b89a25678b157b6bf06a568a3866c221c259d0cad02fb577", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004046", "prompt": "Calculate: -4561 - (6849 - (-25807))", "solution_steps": ["Subtract: 6849 - (-25807) = 32656", "Subtract: -4561 - 32656 = -37217"], "final_answer": "-37217", "answer_type": "integer", "kind": "expression", "math_text": "-4561 - (6849 - (-25807))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4561, \"b\": 6849, \"c\": -25807}", "seed": "9204818250706476487", "semantic_fingerprint": "sha256:c06c0d7c19cf0eba80e100e2e5b9cc40427aa21f52bd36621ee61d837ddd1fe5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004047", "prompt": "Solve for x: x = -33x", "solution_steps": ["Add 33x to both sides: 34x = 0", "Divide both sides by 34: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -33x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33}", "seed": "10400444500918234582", "semantic_fingerprint": "sha256:22a343b0aa8068aed80ec72a68223596a864ebd57f1a3c3bdd43b0af6679d49a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004048", "prompt": "Evaluate: (94176 - (-5464)) / (-5586 / (-1955)) + (-9965)", "solution_steps": ["Subtract: 94176 - (-5464) = 99640", "Divide: -5586 / (-1955) = 5586/1955", "Divide: 99640 / (5586/1955) = 97398100/2793", "Add: 97398100/2793 + (-9965) = 69565855/2793"], "final_answer": "69565855/2793", "answer_type": "rational", "kind": "expression", "math_text": "(94176 - (-5464)) / (-5586 / (-1955)) + (-9965)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 94176, \"b\": -5464, \"c\": -5586, \"d\": -1955, \"e\": -9965}", "seed": "4267839476041935692", "semantic_fingerprint": "sha256:af08775dc02080b94c477ac8bb8c532735e79156aec201fcafcc6ebffb9db958", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004049", "prompt": "Find x: 27x = 13x", "solution_steps": ["Subtract 13x from both sides: 14x = 0", "Divide both sides by 14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = 13x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 13}", "seed": "11988169797390523919", "semantic_fingerprint": "sha256:6aeb48b31cd2a8c4224dfd662922bee9882ec0acb7fb3689bd397082e89c7614", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004050", "prompt": "Compute: (-7464 + 9842) * (-7677 * (-2876))", "solution_steps": ["Add: -7464 + 9842 = 2378", "Multiply: -7677 * (-2876) = 22079052", "Multiply: 2378 * 22079052 = 52503985656"], "final_answer": "52503985656", "answer_type": "integer", "kind": "expression", "math_text": "(-7464 + 9842) * (-7677 * (-2876))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7464, \"b\": 9842, \"c\": -7677, \"d\": -2876}", "seed": "106592168223359575", "semantic_fingerprint": "sha256:edfac516b4721429765b74c4dad3119238747f0f2adfd853711f501a82fe4815", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004051", "prompt": "Calculate: 77436 / 8337 * (67771 - (2622 + (-17775)) * 1293)", "solution_steps": ["Divide: 77436 / 8337 = 25812/2779", "Add: 2622 + (-17775) = -15153", "Multiply: -15153 * 1293 = -19592829", "Subtract: 67771 - (-19592829) = 19660600", "Multiply: (25812/2779) * 19660600 = 507479407200/2779"], "final_answer": "507479407200/2779", "answer_type": "rational", "kind": "expression", "math_text": "77436 / 8337 * (67771 - (2622 + (-17775)) * 1293)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (- n (* (+ n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 77436, \"b\": 8337, \"c\": 67771, \"d\": 2622, \"e\": -17775, \"f\": 1293}", "seed": "8685284419709878982", "semantic_fingerprint": "sha256:13ffe3714f0ba6d2dd0acce918c2887ed94e36fbba88740a74e21f31f9879c02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004052", "prompt": "Solve for x: 32x = 27(x - 42769)", "solution_steps": ["Expand: 32x = 27x - 1154763", "Subtract 27x from both sides: 5x = -1154763", "Divide both sides by 5: x = -1154763/5"], "final_answer": "-1154763/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x = 27(x - 42769)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 27, \"c\": 42769}", "seed": "12286991751564997644", "semantic_fingerprint": "sha256:aa4220dc8198a299ca6ffacd4efb1e470e13b7c50fb18701f13bf8fcf27b0270", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004053", "prompt": "What value of x satisfies 39(x + 5478) + 9504 = -61548?", "solution_steps": ["Expand: 39x + 213642 + 9504 = -61548", "Combine constants: 39x + 223146 = -61548", "Subtract 223146 from both sides: 39x = -284694", "Divide both sides by 39: x = -94898/13"], "final_answer": "-94898/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 5478) + 9504 = -61548", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5478, \"c\": 9504, \"d\": -61548}", "seed": "1974137501256786502", "semantic_fingerprint": "sha256:27414b7f687642727741379a1ed7197360e80de3c7413ebff6b6cd0ca012f36e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004054", "prompt": "Solve the equation -33x + 87139 = x + 8256 for x.", "solution_steps": ["Subtract x from both sides: -34x + 87139 = 8256", "Subtract 87139 from both sides: -34x = -78883", "Divide both sides by -34: x = 78883/34"], "final_answer": "78883/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33x + 87139 = x + 8256", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 87139, \"c\": 8256}", "seed": "13723403037281960420", "semantic_fingerprint": "sha256:36feec2acf5dba972172c95bba6e7a8b31a6f0f1e5cc1ae19814cfba0e7bf983", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004055", "prompt": "Solve for x: 20(x - 4638) - 1439 = x - 66822", "solution_steps": ["Expand: 20x - 92760 - 1439 = x - 66822", "Combine constants: 20x - 94199 = x - 66822", "Subtract x from both sides: 19x - 94199 = -66822", "Add 94199 to both sides: 19x = 27377", "Divide both sides by 19: x = 27377/19"], "final_answer": "27377/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 4638) - 1439 = x - 66822", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 4638, \"c\": 1439, \"d\": 66822}", "seed": "16180690020401593955", "semantic_fingerprint": "sha256:c9072053dc7dd6417772884aaaaec149c926012daffd2caa2bb1fe3f8523b9a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004056", "prompt": "Solve for x: 22(x - 7704) - 21787 = -29(x + 3498) - 86518", "solution_steps": ["Expand: 22x - 169488 - 21787 = -29(x + 3498) - 86518", "Expand: 22x - 169488 - 21787 = -29x - 101442 - 86518", "Combine constants: 22x - 191275 = -29x - 101442 - 86518", "Combine constants: 22x - 191275 = -29x - 187960", "Add 29x to both sides: 51x - 191275 = -187960", "Add 191275 to both sides: 51x = 3315", "Divide both sides by 51: x = 65"], "final_answer": "65", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x - 7704) - 21787 = -29(x + 3498) - 86518", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 7704, \"c\": 21787, \"d\": -29, \"e\": 3498, \"g\": -86518, \"x\": 65}", "seed": "3638284312757149812", "semantic_fingerprint": "sha256:d7147cb9e80e40c16a6d4ad85638561578e9bedca246b82d7d5da2c3c24a4233", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004057", "prompt": "Calculate: -96944 * 70128 - (97937 - (-2170) - 1100)", "solution_steps": ["Multiply: -96944 * 70128 = -6798488832", "Subtract: 97937 - (-2170) = 100107", "Subtract: 100107 - 1100 = 99007", "Subtract: -6798488832 - 99007 = -6798587839"], "final_answer": "-6798587839", "answer_type": "integer", "kind": "expression", "math_text": "-96944 * 70128 - (97937 - (-2170) - 1100)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -96944, \"b\": 70128, \"c\": 97937, \"d\": -2170, \"e\": 1100}", "seed": "14673700423286659706", "semantic_fingerprint": "sha256:1bd995c09b4760df07f90ccb602a48fcd6cdc35400c880579e171be5f3b922d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004058", "prompt": "Solve the equation -21x = 35(x - 48056) for x.", "solution_steps": ["Expand: -21x = 35x - 1681960", "Subtract 35x from both sides: -56x = -1681960", "Divide both sides by -56: x = 30035"], "final_answer": "30035", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x = 35(x - 48056)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 35, \"c\": 48056}", "seed": "10608897706325036100", "semantic_fingerprint": "sha256:153f731ee08b0ddb2a870ee93d02b445da54c6c3af8f8e30466071ebf6408b4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004059", "prompt": "Evaluate: 49503 - (-61819) + 85789", "solution_steps": ["Subtract: 49503 - (-61819) = 111322", "Add: 111322 + 85789 = 197111"], "final_answer": "197111", "answer_type": "integer", "kind": "expression", "math_text": "49503 - (-61819) + 85789", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 49503, \"b\": -61819, \"c\": 85789}", "seed": "8904270251069648234", "semantic_fingerprint": "sha256:ebf2c261b92ce225cc69519dad8f37bc25f47931f1835e7e07b9cb36eda59200", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004060", "prompt": "What value of x satisfies x - 45816 = -2598?", "solution_steps": ["Add 45816 to both sides: x = 43218"], "final_answer": "43218", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 45816 = -2598", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45816, \"b\": -2598}", "seed": "8299716094987555738", "semantic_fingerprint": "sha256:1c8a5f50d7be2afd99a933f94f98fa17b66c42381cc3d228408f05f05f54e593", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004061", "prompt": "Calculate: 1151 / (-9351 / (-15574)) + (20255 - (3435 + 9446))", "solution_steps": ["Divide: -9351 / (-15574) = 9351/15574", "Divide: 1151 / (9351/15574) = 17925674/9351", "Add: 3435 + 9446 = 12881", "Subtract: 20255 - 12881 = 7374", "Add: 17925674/9351 + 7374 = 86879948/9351"], "final_answer": "86879948/9351", "answer_type": "rational", "kind": "expression", "math_text": "1151 / (-9351 / (-15574)) + (20255 - (3435 + 9446))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1151, \"b\": -9351, \"c\": -15574, \"d\": 20255, \"e\": 3435, \"f\": 9446}", "seed": "3789789683334163095", "semantic_fingerprint": "sha256:1d53fe1e828432fc27f99bc8f45cf84bfffa7742cd43dda000981bf81ae2e03d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004062", "prompt": "Compute: -7663 + (-91619) * (-8959 - (-92046))", "solution_steps": ["Subtract: -8959 - (-92046) = 83087", "Multiply: -91619 * 83087 = -7612347853", "Add: -7663 + (-7612347853) = -7612355516"], "final_answer": "-7612355516", "answer_type": "integer", "kind": "expression", "math_text": "-7663 + (-91619) * (-8959 - (-92046))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7663, \"b\": -91619, \"c\": -8959, \"d\": -92046}", "seed": "3724394941119064255", "semantic_fingerprint": "sha256:97e41cc964bc9e35731e544ba10874c3b7d3ad500471c671483557d406fec87a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004063", "prompt": "What is -28778 - 48477?", "solution_steps": ["Subtract: -28778 - 48477 = -77255"], "final_answer": "-77255", "answer_type": "integer", "kind": "expression", "math_text": "-28778 - 48477", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -28778, \"b\": 48477}", "seed": "13305153772053144501", "semantic_fingerprint": "sha256:2cabf52eaa669654ec4fef0ace8798936aa971deed33a6c38b60a94f28eebc15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004064", "prompt": "Find x: -13(x + 6743) - 3749 = 26x - 86416", "solution_steps": ["Expand: -13x - 87659 - 3749 = 26x - 86416", "Combine constants: -13x - 91408 = 26x - 86416", "Subtract 26x from both sides: -39x - 91408 = -86416", "Add 91408 to both sides: -39x = 4992", "Divide both sides by -39: x = -128"], "final_answer": "-128", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x + 6743) - 3749 = 26x - 86416", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 6743, \"c\": 3749, \"d\": 26, \"f\": -86416, \"x\": -128}", "seed": "6062608442792256482", "semantic_fingerprint": "sha256:fcbc88ae9c145de6d7d8c04c1d8f58e57708604a62831146417478994ebeab8b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004065", "prompt": "Find x: -21(x - 40848) = x", "solution_steps": ["Expand: -21x + 857808 = x", "Subtract x from both sides: -22x + 857808 = 0", "Subtract 857808 from both sides: -22x = -857808", "Divide both sides by -22: x = 428904/11"], "final_answer": "428904/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 40848) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 40848}", "seed": "16785119168245686684", "semantic_fingerprint": "sha256:6438fe9aceb71370d968f643cdec2dd666186f15c47d163dec28a88f0ed78ca1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004066", "prompt": "What is -8268 / (-4040 - (72776 - (-6232)))?", "solution_steps": ["Subtract: 72776 - (-6232) = 79008", "Subtract: -4040 - 79008 = -83048", "Divide: -8268 / (-83048) = 2067/20762"], "final_answer": "2067/20762", "answer_type": "rational", "kind": "expression", "math_text": "-8268 / (-4040 - (72776 - (-6232)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8268, \"b\": -4040, \"c\": 72776, \"d\": -6232}", "seed": "17331059057688783413", "semantic_fingerprint": "sha256:ab829039da40cc75d512219032dba494605f53eb84e5401242c5955e914be924", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004067", "prompt": "Evaluate: -19681 + (-5952)", "solution_steps": ["Add: -19681 + (-5952) = -25633"], "final_answer": "-25633", "answer_type": "integer", "kind": "expression", "math_text": "-19681 + (-5952)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -19681, \"b\": -5952}", "seed": "9915184169240910615", "semantic_fingerprint": "sha256:4391a7eca468ba19b5cf2de23165ec92c7dcfcca89d5c163cb5c0de1bd074a13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004068", "prompt": "What is 78733 + (-91332 + (-4209)) + 94854?", "solution_steps": ["Add: -91332 + (-4209) = -95541", "Add: 78733 + (-95541) = -16808", "Add: -16808 + 94854 = 78046"], "final_answer": "78046", "answer_type": "integer", "kind": "expression", "math_text": "78733 + (-91332 + (-4209)) + 94854", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78733, \"b\": -91332, \"c\": -4209, \"d\": 94854}", "seed": "11129716891291841620", "semantic_fingerprint": "sha256:1bf17a38a895a76d89c9895bf1320344b87b86af516f85dc2cc04e5aaab6f33b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004069", "prompt": "What value of x satisfies -33(x - 2616) + 7077 = 88026?", "solution_steps": ["Expand: -33x + 86328 + 7077 = 88026", "Combine constants: -33x + 93405 = 88026", "Subtract 93405 from both sides: -33x = -5379", "Divide both sides by -33: x = 163"], "final_answer": "163", "answer_type": "integer", "kind": "linear_equation", "math_text": "-33(x - 2616) + 7077 = 88026", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 2616, \"c\": 7077, \"e\": 88026, \"x\": 163}", "seed": "1525669092229351926", "semantic_fingerprint": "sha256:9a30512beaa70bb8ce61b2f84f67889184b1c4288139fd3496e4f99f7d03396d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004070", "prompt": "What value of x satisfies 24x + 6113 = -30x + 1383?", "solution_steps": ["Add 30x to both sides: 54x + 6113 = 1383", "Subtract 6113 from both sides: 54x = -4730", "Divide both sides by 54: x = -2365/27"], "final_answer": "-2365/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x + 6113 = -30x + 1383", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 6113, \"c\": -30, \"d\": 1383}", "seed": "18421431215706089348", "semantic_fingerprint": "sha256:793620e6ebd717885dd02cf4fa80482ada53fc69b52837512498c6a214d99e3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004071", "prompt": "What is 13165 + (-6028 / (-3354) + 1269)?", "solution_steps": ["Divide: -6028 / (-3354) = 3014/1677", "Add: 3014/1677 + 1269 = 2131127/1677", "Add: 13165 + 2131127/1677 = 24208832/1677"], "final_answer": "24208832/1677", "answer_type": "rational", "kind": "expression", "math_text": "13165 + (-6028 / (-3354) + 1269)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13165, \"b\": -6028, \"c\": -3354, \"d\": 1269}", "seed": "14017460511508739734", "semantic_fingerprint": "sha256:867897c1bdf4174681cf1b89233bcee6f616b351e14a4a80734f978c9998b245", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004072", "prompt": "Compute: 1635 - (9644 + 6735)", "solution_steps": ["Add: 9644 + 6735 = 16379", "Subtract: 1635 - 16379 = -14744"], "final_answer": "-14744", "answer_type": "integer", "kind": "expression", "math_text": "1635 - (9644 + 6735)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1635, \"b\": 9644, \"c\": 6735}", "seed": "7308654361417651243", "semantic_fingerprint": "sha256:daeb9d26d897dfead9ed3cebb925a94d84ecb691432b813f2f9f5b5956a9c4ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004073", "prompt": "What value of x satisfies x + 35280 = 28(x + 7413) + 9738?", "solution_steps": ["Expand: x + 35280 = 28x + 207564 + 9738", "Combine constants: x + 35280 = 28x + 217302", "Subtract 28x from both sides: -27x + 35280 = 217302", "Subtract 35280 from both sides: -27x = 182022", "Divide both sides by -27: x = -60674/9"], "final_answer": "-60674/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 35280 = 28(x + 7413) + 9738", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35280, \"b\": 28, \"c\": 7413, \"d\": 9738}", "seed": "11795579153001434055", "semantic_fingerprint": "sha256:b640edea17a4045ed8ac2e6a3ce9e4409866b5667d9deefd209c18d74fcd258b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004074", "prompt": "What value of x satisfies 26x = 32x?", "solution_steps": ["Subtract 32x from both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x = 32x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 32}", "seed": "3873877678569537053", "semantic_fingerprint": "sha256:80e00b6452fc8d20a24d240e599fb837b0342ed6e052facad203a53cc4091b7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004075", "prompt": "Calculate: -2199 / 3897 + (-9354)", "solution_steps": ["Divide: -2199 / 3897 = -733/1299", "Add: -733/1299 + (-9354) = -12151579/1299"], "final_answer": "-12151579/1299", "answer_type": "rational", "kind": "expression", "math_text": "-2199 / 3897 + (-9354)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2199, \"b\": 3897, \"c\": -9354}", "seed": "6140998843148655947", "semantic_fingerprint": "sha256:e1d06b090d88a97bb706f90526e6d22d838086abb225764b916b2257bedf1354", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004076", "prompt": "What is 6841 + (-58844)?", "solution_steps": ["Add: 6841 + (-58844) = -52003"], "final_answer": "-52003", "answer_type": "integer", "kind": "expression", "math_text": "6841 + (-58844)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6841, \"b\": -58844}", "seed": "9110019362037160785", "semantic_fingerprint": "sha256:d4c47f963b35892782596773a6dbd80995635b2c49c91bc498e1d99553d5aedc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004077", "prompt": "What value of x satisfies 36(x + 8040) - 5250 = -30(x - 3986)?", "solution_steps": ["Expand: 36x + 289440 - 5250 = -30(x - 3986)", "Expand: 36x + 289440 - 5250 = -30x + 119580", "Combine constants: 36x + 284190 = -30x + 119580", "Add 30x to both sides: 66x + 284190 = 119580", "Subtract 284190 from both sides: 66x = -164610", "Divide both sides by 66: x = -27435/11"], "final_answer": "-27435/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 8040) - 5250 = -30(x - 3986)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 8040, \"c\": 5250, \"d\": -30, \"e\": 3986}", "seed": "579373875886626539", "semantic_fingerprint": "sha256:f34cae715fc7c028fe1542e28ff3ad6cfa4687fbdff4e13e1b05c0e95b7eb176", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004078", "prompt": "What is -5500 * 65776 + (-8482)?", "solution_steps": ["Multiply: -5500 * 65776 = -361768000", "Add: -361768000 + (-8482) = -361776482"], "final_answer": "-361776482", "answer_type": "integer", "kind": "expression", "math_text": "-5500 * 65776 + (-8482)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5500, \"b\": 65776, \"c\": -8482}", "seed": "15763264813750833235", "semantic_fingerprint": "sha256:75813e74e1ebf4cad241d7a919847699de8141ba1fbf1167c5b9d1981b1ed3cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004079", "prompt": "Evaluate: -94101 * (-5719) / (61361 * (9086 - 8952)) - (-6198)", "solution_steps": ["Multiply: -94101 * (-5719) = 538163619", "Subtract: 9086 - 8952 = 134", "Multiply: 61361 * 134 = 8222374", "Divide: 538163619 / 8222374 = 12515433/191218", "Subtract: 12515433/191218 - (-6198) = 1197684597/191218"], "final_answer": "1197684597/191218", "answer_type": "rational", "kind": "expression", "math_text": "-94101 * (-5719) / (61361 * (9086 - 8952)) - (-6198)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) (* n (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -94101, \"b\": -5719, \"c\": 61361, \"d\": 9086, \"e\": 8952, \"f\": -6198}", "seed": "18121472812974711185", "semantic_fingerprint": "sha256:4c311accf82508d6d6845ab1adb515548b3e428824fef5cf93085bd3a11409c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004080", "prompt": "Compute: -2832 / (-7900)", "solution_steps": ["Divide: -2832 / (-7900) = 708/1975"], "final_answer": "708/1975", "answer_type": "rational", "kind": "expression", "math_text": "-2832 / (-7900)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2832, \"b\": -7900}", "seed": "14852871109294988108", "semantic_fingerprint": "sha256:74f6d929688bc706b3d07f52d954bed5768160585842a3e9b39b2b039d9efdec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004081", "prompt": "Compute: (-4706 - (-34109 - (-39044))) / 87066", "solution_steps": ["Subtract: -34109 - (-39044) = 4935", "Subtract: -4706 - 4935 = -9641", "Divide: -9641 / 87066 = -9641/87066"], "final_answer": "-9641/87066", "answer_type": "rational", "kind": "expression", "math_text": "(-4706 - (-34109 - (-39044))) / 87066", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4706, \"b\": -34109, \"c\": -39044, \"d\": 87066}", "seed": "15061400345909458963", "semantic_fingerprint": "sha256:63a194b942bf78f497197cd65bd5870681643f1df3c859085c70593082d19284", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004082", "prompt": "Compute: -7254 / (-2513)", "solution_steps": ["Divide: -7254 / (-2513) = 7254/2513"], "final_answer": "7254/2513", "answer_type": "rational", "kind": "expression", "math_text": "-7254 / (-2513)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7254, \"b\": -2513}", "seed": "10066011263881980931", "semantic_fingerprint": "sha256:1ccc119beac088f3651d68c7784ec65ad55eb8a8756019ba757bee398c7778fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004083", "prompt": "Solve the equation x - 27570 = 22(x + 9803) for x.", "solution_steps": ["Expand: x - 27570 = 22x + 215666", "Subtract 22x from both sides: -21x - 27570 = 215666", "Add 27570 to both sides: -21x = 243236", "Divide both sides by -21: x = -34748/3"], "final_answer": "-34748/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 27570 = 22(x + 9803)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27570, \"b\": 22, \"c\": 9803}", "seed": "7924455622631353147", "semantic_fingerprint": "sha256:bcec46b6f4218903c322b3c6f3501a172013087f200529f686cbd4da22b7cb77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004084", "prompt": "Find x: -16x - 3672 = 28(x + 90240) - 34137", "solution_steps": ["Expand: -16x - 3672 = 28x + 2526720 - 34137", "Combine constants: -16x - 3672 = 28x + 2492583", "Subtract 28x from both sides: -44x - 3672 = 2492583", "Add 3672 to both sides: -44x = 2496255", "Divide both sides by -44: x = -2496255/44"], "final_answer": "-2496255/44", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16x - 3672 = 28(x + 90240) - 34137", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 3672, \"c\": 28, \"d\": 90240, \"e\": 34137}", "seed": "904745725448023937", "semantic_fingerprint": "sha256:7863ba058eac1cfbe97cd6d137676685582e31256d241784720b749caf0d026b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004085", "prompt": "What is -63725 * (8079 + 9329)?", "solution_steps": ["Add: 8079 + 9329 = 17408", "Multiply: -63725 * 17408 = -1109324800"], "final_answer": "-1109324800", "answer_type": "integer", "kind": "expression", "math_text": "-63725 * (8079 + 9329)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -63725, \"b\": 8079, \"c\": 9329}", "seed": "14404634794378332137", "semantic_fingerprint": "sha256:5180046036ac5a1bab80b2fc8fee511660785921161f9be39448c71c5137d974", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004086", "prompt": "Calculate: (-6135 - (-6982)) / (4593 - (-9237)) - (-55506)", "solution_steps": ["Subtract: -6135 - (-6982) = 847", "Subtract: 4593 - (-9237) = 13830", "Divide: 847 / 13830 = 847/13830", "Subtract: 847/13830 - (-55506) = 767648827/13830"], "final_answer": "767648827/13830", "answer_type": "rational", "kind": "expression", "math_text": "(-6135 - (-6982)) / (4593 - (-9237)) - (-55506)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6135, \"b\": -6982, \"c\": 4593, \"d\": -9237, \"e\": -55506}", "seed": "13776825030246734785", "semantic_fingerprint": "sha256:ee35f5444dd3afba97f0fcc8216f5aefa045a91c1bd4096da4b35ad66f63e6cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004087", "prompt": "Evaluate: 10846 / (-79117)", "solution_steps": ["Divide: 10846 / (-79117) = -10846/79117"], "final_answer": "-10846/79117", "answer_type": "rational", "kind": "expression", "math_text": "10846 / (-79117)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10846, \"b\": -79117}", "seed": "3275482930983312115", "semantic_fingerprint": "sha256:3db86d2834d716c1a5b105bc8486af86693e213f96b404cdb37e0b5213016237", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004088", "prompt": "Evaluate: 4868 * (-8309 / (-8035 + (-3232)) * (-4419))", "solution_steps": ["Add: -8035 + (-3232) = -11267", "Divide: -8309 / (-11267) = 8309/11267", "Multiply: (8309/11267) * (-4419) = -36717471/11267", "Multiply: 4868 * (-36717471/11267) = -178740648828/11267"], "final_answer": "-178740648828/11267", "answer_type": "rational", "kind": "expression", "math_text": "4868 * (-8309 / (-8035 + (-3232)) * (-4419))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4868, \"b\": -8309, \"c\": -8035, \"d\": -3232, \"e\": -4419}", "seed": "7555094289661715112", "semantic_fingerprint": "sha256:bd3edfcdb8790bddd1f4920eb5877b304eb252e56ab6310bf864facec706efcb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004089", "prompt": "Compute: -86368 * (-8161 - (-7039) + (-7613 + (-43276)))", "solution_steps": ["Subtract: -8161 - (-7039) = -1122", "Add: -7613 + (-43276) = -50889", "Add: -1122 + (-50889) = -52011", "Multiply: -86368 * (-52011) = 4492086048"], "final_answer": "4492086048", "answer_type": "integer", "kind": "expression", "math_text": "-86368 * (-8161 - (-7039) + (-7613 + (-43276)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -86368, \"b\": -8161, \"c\": -7039, \"d\": -7613, \"e\": -43276}", "seed": "4934911670924843150", "semantic_fingerprint": "sha256:9492c2496f4d8cd4d310b5259c1a2fe17852c144ba3d7fb6140c839ce2f0622d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004090", "prompt": "Calculate: 47228 / 7952", "solution_steps": ["Divide: 47228 / 7952 = 11807/1988"], "final_answer": "11807/1988", "answer_type": "rational", "kind": "expression", "math_text": "47228 / 7952", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 47228, \"b\": 7952}", "seed": "8473302041684764758", "semantic_fingerprint": "sha256:6a092bf0cd8272887fa8e0aa06fb6bb2b39f997135a6735b2682f81c936faf81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004091", "prompt": "What is 84106 + (20733 + 8863)?", "solution_steps": ["Add: 20733 + 8863 = 29596", "Add: 84106 + 29596 = 113702"], "final_answer": "113702", "answer_type": "integer", "kind": "expression", "math_text": "84106 + (20733 + 8863)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 84106, \"b\": 20733, \"c\": 8863}", "seed": "18037098551762862522", "semantic_fingerprint": "sha256:d42c79ec0eca96ef2229cd25c1fc5400051f6f40f33000b12494288b90313e68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004092", "prompt": "Compute: -6154 - (4190 + (56384 + (-56035)))", "solution_steps": ["Add: 56384 + (-56035) = 349", "Add: 4190 + 349 = 4539", "Subtract: -6154 - 4539 = -10693"], "final_answer": "-10693", "answer_type": "integer", "kind": "expression", "math_text": "-6154 - (4190 + (56384 + (-56035)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6154, \"b\": 4190, \"c\": 56384, \"d\": -56035}", "seed": "16904206885182623906", "semantic_fingerprint": "sha256:5daba893a67e13b70f884eb9a9f0eb998b275ea8b9b314b53f7b0bc33457f7c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004093", "prompt": "Compute: 1202 * (-6111 * 8754) - (8929 - 1407)", "solution_steps": ["Multiply: -6111 * 8754 = -53495694", "Multiply: 1202 * (-53495694) = -64301824188", "Subtract: 8929 - 1407 = 7522", "Subtract: -64301824188 - 7522 = -64301831710"], "final_answer": "-64301831710", "answer_type": "integer", "kind": "expression", "math_text": "1202 * (-6111 * 8754) - (8929 - 1407)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1202, \"b\": -6111, \"c\": 8754, \"d\": 8929, \"e\": 1407}", "seed": "2763439558722073828", "semantic_fingerprint": "sha256:d5c0bfb8fc1bf9dfc85732818546c5dbb1a78846bf7dcf9cf145db0c5c413313", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004094", "prompt": "What value of x satisfies -40x = 16(x - 74037) - 5094?", "solution_steps": ["Expand: -40x = 16x - 1184592 - 5094", "Combine constants: -40x = 16x - 1189686", "Subtract 16x from both sides: -56x = -1189686", "Divide both sides by -56: x = 594843/28"], "final_answer": "594843/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40x = 16(x - 74037) - 5094", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 16, \"c\": 74037, \"d\": 5094}", "seed": "9590194477759786419", "semantic_fingerprint": "sha256:cce8d4ab2c063826db0d09532fb3d64d54b16cdd2b56c3126e8bfca5ffb7d482", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004095", "prompt": "Solve for x: 34x = 37(x + 56458)", "solution_steps": ["Expand: 34x = 37x + 2088946", "Subtract 37x from both sides: -3x = 2088946", "Divide both sides by -3: x = -2088946/3"], "final_answer": "-2088946/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x = 37(x + 56458)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 37, \"c\": 56458}", "seed": "8591152090938914514", "semantic_fingerprint": "sha256:ef635d02cb3b21eff643a17be08f0ddc32555b5341c085655dad74d25928fa59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004096", "prompt": "Find x: 23(x + 13679) + 98120 = x - 2991", "solution_steps": ["Expand: 23x + 314617 + 98120 = x - 2991", "Combine constants: 23x + 412737 = x - 2991", "Subtract x from both sides: 22x + 412737 = -2991", "Subtract 412737 from both sides: 22x = -415728", "Divide both sides by 22: x = -207864/11"], "final_answer": "-207864/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 13679) + 98120 = x - 2991", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 13679, \"c\": 98120, \"d\": 2991}", "seed": "8925898759845181970", "semantic_fingerprint": "sha256:e22131a649b5970720e7be8f3a43fda86730f5edd2f84be16abd4f7ee55899ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004097", "prompt": "Find x: -15(x + 1430) = -18x - 21372", "solution_steps": ["Expand: -15x - 21450 = -18x - 21372", "Add 18x to both sides: 3x - 21450 = -21372", "Add 21450 to both sides: 3x = 78", "Divide both sides by 3: x = 26"], "final_answer": "26", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x + 1430) = -18x - 21372", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 1430, \"c\": -18, \"e\": -21372, \"x\": 26}", "seed": "5706600941092402547", "semantic_fingerprint": "sha256:619fabbb27c1eb76fafc53a0741152de5fbef4deb17099fcd2d27836a654c288", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004098", "prompt": "What is -8279 * (-4900 * (-6102) / 1922)?", "solution_steps": ["Multiply: -4900 * (-6102) = 29899800", "Divide: 29899800 / 1922 = 14949900/961", "Multiply: -8279 * (14949900/961) = -123770222100/961"], "final_answer": "-123770222100/961", "answer_type": "rational", "kind": "expression", "math_text": "-8279 * (-4900 * (-6102) / 1922)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8279, \"b\": -4900, \"c\": -6102, \"d\": 1922}", "seed": "354719306456761237", "semantic_fingerprint": "sha256:1020cdc85bc080c5bd730faefba50d46a48e3cbfc4e1dec4e3f40990c8794fad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004099", "prompt": "What is 2885 - 25397 + 7172?", "solution_steps": ["Subtract: 2885 - 25397 = -22512", "Add: -22512 + 7172 = -15340"], "final_answer": "-15340", "answer_type": "integer", "kind": "expression", "math_text": "2885 - 25397 + 7172", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2885, \"b\": 25397, \"c\": 7172}", "seed": "3302860502752410285", "semantic_fingerprint": "sha256:4383393e43a628cbafac7bc9e89594fcbfda1a77d626e0effd05377d4c82f7de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004100", "prompt": "What is 9173 / (-5375) + 68223?", "solution_steps": ["Divide: 9173 / (-5375) = -9173/5375", "Add: -9173/5375 + 68223 = 366689452/5375"], "final_answer": "366689452/5375", "answer_type": "rational", "kind": "expression", "math_text": "9173 / (-5375) + 68223", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9173, \"b\": -5375, \"c\": 68223}", "seed": "15834063012072541453", "semantic_fingerprint": "sha256:bfa7ae50468f45d304f31a46fb4458c0236ccb11f0ffc53d9119faa0c7618011", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004101", "prompt": "Find x: x = 37x + 1404", "solution_steps": ["Subtract 37x from both sides: -36x = 1404", "Divide both sides by -36: x = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 37x + 1404", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": 1404, \"x\": -39}", "seed": "14380390156070094751", "semantic_fingerprint": "sha256:534cd364cee74150cca0fa4cea4dafc5dd1f8a34490abcc931f03ba6cd2b5391", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004102", "prompt": "What value of x satisfies 26x - 9943 = -35x?", "solution_steps": ["Add 35x to both sides: 61x - 9943 = 0", "Add 9943 to both sides: 61x = 9943", "Divide both sides by 61: x = 163"], "final_answer": "163", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x - 9943 = -35x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": -35, \"d\": -9943, \"x\": 163}", "seed": "18244039659168066350", "semantic_fingerprint": "sha256:7162569ed04cf372f526564eb2bcf347587ef178d2201c5fddc6758ea6a5d13a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004103", "prompt": "Compute: -7955 + (-6574) + (-1194)", "solution_steps": ["Add: -7955 + (-6574) = -14529", "Add: -14529 + (-1194) = -15723"], "final_answer": "-15723", "answer_type": "integer", "kind": "expression", "math_text": "-7955 + (-6574) + (-1194)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7955, \"b\": -6574, \"c\": -1194}", "seed": "17059674247311809610", "semantic_fingerprint": "sha256:81c25d6d26ae2e539197f6f495c6e0a114194ee61f832d2bd4ff59e525484624", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004104", "prompt": "Find x: 19x + 4650 = 23(x + 63451) + 50067", "solution_steps": ["Expand: 19x + 4650 = 23x + 1459373 + 50067", "Combine constants: 19x + 4650 = 23x + 1509440", "Subtract 23x from both sides: -4x + 4650 = 1509440", "Subtract 4650 from both sides: -4x = 1504790", "Divide both sides by -4: x = -752395/2"], "final_answer": "-752395/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x + 4650 = 23(x + 63451) + 50067", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 4650, \"c\": 23, \"d\": 63451, \"e\": 50067}", "seed": "9383677278812746027", "semantic_fingerprint": "sha256:534d62be9720f262be24180f1b8cae75e8123f4385924183b9a0df5d8b9422fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004105", "prompt": "What is -43093 / (-9212 + (-9747))?", "solution_steps": ["Add: -9212 + (-9747) = -18959", "Divide: -43093 / (-18959) = 43093/18959"], "final_answer": "43093/18959", "answer_type": "rational", "kind": "expression", "math_text": "-43093 / (-9212 + (-9747))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43093, \"b\": -9212, \"c\": -9747}", "seed": "18052217984928421817", "semantic_fingerprint": "sha256:dd93950d8ecc6a079e5c4a4590ff9586018f608640c76e65526d2037f66b442d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004106", "prompt": "What value of x satisfies x - 92843 = 14(x + 7599)?", "solution_steps": ["Expand: x - 92843 = 14x + 106386", "Subtract 14x from both sides: -13x - 92843 = 106386", "Add 92843 to both sides: -13x = 199229", "Divide both sides by -13: x = -199229/13"], "final_answer": "-199229/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 92843 = 14(x + 7599)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 92843, \"b\": 14, \"c\": 7599}", "seed": "8593671309810383068", "semantic_fingerprint": "sha256:cbbe05ec7042a60bfb7bca984e42d281cf1a5b8881a5b890e051ed3a30eef104", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004107", "prompt": "Solve the equation 38(x - 79033) - 62177 = -9305 for x.", "solution_steps": ["Expand: 38x - 3003254 - 62177 = -9305", "Combine constants: 38x - 3065431 = -9305", "Add 3065431 to both sides: 38x = 3056126", "Divide both sides by 38: x = 1528063/19"], "final_answer": "1528063/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 79033) - 62177 = -9305", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 79033, \"c\": 62177, \"d\": -9305}", "seed": "5998554605384300036", "semantic_fingerprint": "sha256:f20d42ffc364bfd64ce1515cc67c271641be14e84757ebf79dd79cbd3800946f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004108", "prompt": "Evaluate: -46342 * (-5693) / (-1574)", "solution_steps": ["Multiply: -46342 * (-5693) = 263825006", "Divide: 263825006 / (-1574) = -131912503/787"], "final_answer": "-131912503/787", "answer_type": "rational", "kind": "expression", "math_text": "-46342 * (-5693) / (-1574)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46342, \"b\": -5693, \"c\": -1574}", "seed": "14040207617931254843", "semantic_fingerprint": "sha256:c393cdbe3b24158ba2b3c57f9f24cd30b06cc29d6c7327980bb83da254243feb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004109", "prompt": "Calculate: 1580 + (-4829) + (8894 * 7124 + (-1275)) / 8631", "solution_steps": ["Add: 1580 + (-4829) = -3249", "Multiply: 8894 * 7124 = 63360856", "Add: 63360856 + (-1275) = 63359581", "Divide: 63359581 / 8631 = 63359581/8631", "Add: -3249 + 63359581/8631 = 35317462/8631"], "final_answer": "35317462/8631", "answer_type": "rational", "kind": "expression", "math_text": "1580 + (-4829) + (8894 * 7124 + (-1275)) / 8631", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (/ (+ (* n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1580, \"b\": -4829, \"c\": 8894, \"d\": 7124, \"e\": -1275, \"f\": 8631}", "seed": "3499572450027363124", "semantic_fingerprint": "sha256:e3238e40efd2075d607aa4f4b5a4248d5fb16ddde88fbe12ea8b8cdfdc08dc5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004110", "prompt": "Solve for x: 21x = -16(x + 12541)", "solution_steps": ["Expand: 21x = -16x - 200656", "Add 16x to both sides: 37x = -200656", "Divide both sides by 37: x = -200656/37"], "final_answer": "-200656/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "21x = -16(x + 12541)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": -16, \"c\": 12541}", "seed": "4958276535840490045", "semantic_fingerprint": "sha256:9653136f0534f65cbbca8ad88ae135f8dba1359fc991b963819d8ed819b45df7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004111", "prompt": "Compute: -2152 / (-38321) + 6003 * (-2126)", "solution_steps": ["Divide: -2152 / (-38321) = 2152/38321", "Multiply: 6003 * (-2126) = -12762378", "Add: 2152/38321 + (-12762378) = -489067085186/38321"], "final_answer": "-489067085186/38321", "answer_type": "rational", "kind": "expression", "math_text": "-2152 / (-38321) + 6003 * (-2126)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2152, \"b\": -38321, \"c\": 6003, \"d\": -2126}", "seed": "582271781970739082", "semantic_fingerprint": "sha256:6cd26fb8a29e69242da2d43a927def5b2a42a5ced3839c743f60b029da0847ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004112", "prompt": "Calculate: 27637 + (-53203 + 55486 - (-4461))", "solution_steps": ["Add: -53203 + 55486 = 2283", "Subtract: 2283 - (-4461) = 6744", "Add: 27637 + 6744 = 34381"], "final_answer": "34381", "answer_type": "integer", "kind": "expression", "math_text": "27637 + (-53203 + 55486 - (-4461))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27637, \"b\": -53203, \"c\": 55486, \"d\": -4461}", "seed": "15191444699597349235", "semantic_fingerprint": "sha256:477636bc995a49f7c291b42bb537cffd162e37c2d7283c88b1e827bf68f79c68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004113", "prompt": "Compute: -1311 + 69430 - (-79808 - 5382 * (-4704 / (-4480)))", "solution_steps": ["Add: -1311 + 69430 = 68119", "Divide: -4704 / (-4480) = 21/20", "Multiply: 5382 * (21/20) = 56511/10", "Subtract: -79808 - 56511/10 = -854591/10", "Subtract: 68119 - (-854591/10) = 1535781/10"], "final_answer": "1535781/10", "answer_type": "rational", "kind": "expression", "math_text": "-1311 + 69430 - (-79808 - 5382 * (-4704 / (-4480)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (* n (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1311, \"b\": 69430, \"c\": -79808, \"d\": 5382, \"e\": -4704, \"f\": -4480}", "seed": "18165001111185123321", "semantic_fingerprint": "sha256:26b14430bda9bd1aaa9f6d7a5cb8a221bd14019c499e3468d7744b190f315c2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004114", "prompt": "Evaluate: 2109 - (7308 + 8245) - 27130 * (-85659)", "solution_steps": ["Add: 7308 + 8245 = 15553", "Subtract: 2109 - 15553 = -13444", "Multiply: 27130 * (-85659) = -2323928670", "Subtract: -13444 - (-2323928670) = 2323915226"], "final_answer": "2323915226", "answer_type": "integer", "kind": "expression", "math_text": "2109 - (7308 + 8245) - 27130 * (-85659)", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2109, \"b\": 7308, \"c\": 8245, \"d\": 27130, \"e\": -85659}", "seed": "771479176016617303", "semantic_fingerprint": "sha256:ac0d8ae11d79e076b0734e7bbedb6114f2163cbd6de288ccffea458196e4f784", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004115", "prompt": "Solve for x: x + 9772 = 21(x - 2830) + 68562", "solution_steps": ["Expand: x + 9772 = 21x - 59430 + 68562", "Combine constants: x + 9772 = 21x + 9132", "Subtract 21x from both sides: -20x + 9772 = 9132", "Subtract 9772 from both sides: -20x = -640", "Divide both sides by -20: x = 32"], "final_answer": "32", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9772 = 21(x - 2830) + 68562", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9772, \"b\": 21, \"c\": 2830, \"e\": 68562, \"x\": 32}", "seed": "10274970215745033473", "semantic_fingerprint": "sha256:47ab0e7bcde2c181ed28a9d882fd582808eb21dd0b25b8119156418dc82c45e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004116", "prompt": "What is (3578 + (-6402)) / (-15113 + 8578) * (47191 + (-6503))?", "solution_steps": ["Add: 3578 + (-6402) = -2824", "Add: -15113 + 8578 = -6535", "Divide: -2824 / (-6535) = 2824/6535", "Add: 47191 + (-6503) = 40688", "Multiply: (2824/6535) * 40688 = 114902912/6535"], "final_answer": "114902912/6535", "answer_type": "rational", "kind": "expression", "math_text": "(3578 + (-6402)) / (-15113 + 8578) * (47191 + (-6503))", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3578, \"b\": -6402, \"c\": -15113, \"d\": 8578, \"e\": 47191, \"f\": -6503}", "seed": "4783881988609590646", "semantic_fingerprint": "sha256:fe6c1a6f1536d168ed139303496b0215abbed2f259f1a228b493107e8776fd6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004117", "prompt": "Compute: 8157 / 9772", "solution_steps": ["Divide: 8157 / 9772 = 8157/9772"], "final_answer": "8157/9772", "answer_type": "rational", "kind": "expression", "math_text": "8157 / 9772", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8157, \"b\": 9772}", "seed": "14594955333085683140", "semantic_fingerprint": "sha256:e94f76401fc57a0ceb3ee9ac7db47711a66d43b242cc9895dbb4fc1901a803cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004118", "prompt": "Compute: -28509 / (4116 - (-1394))", "solution_steps": ["Subtract: 4116 - (-1394) = 5510", "Divide: -28509 / 5510 = -28509/5510"], "final_answer": "-28509/5510", "answer_type": "rational", "kind": "expression", "math_text": "-28509 / (4116 - (-1394))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28509, \"b\": 4116, \"c\": -1394}", "seed": "17145077185796891147", "semantic_fingerprint": "sha256:3d5be32e65ad864f234cbddfaf60dd194621f459660b629bb2482ebbcf06cc41", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004119", "prompt": "What value of x satisfies x + 6057 = -9128?", "solution_steps": ["Subtract 6057 from both sides: x = -15185"], "final_answer": "-15185", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6057 = -9128", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6057, \"b\": -9128}", "seed": "2845720284098232188", "semantic_fingerprint": "sha256:d8913a5f78fba66cfe142b9e4700a4d478a69adec2de86ffafbda115d046a716", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004120", "prompt": "Evaluate: 55272 / (-25361) * (-6760 + (-3127))", "solution_steps": ["Divide: 55272 / (-25361) = -7896/3623", "Add: -6760 + (-3127) = -9887", "Multiply: (-7896/3623) * (-9887) = 78067752/3623"], "final_answer": "78067752/3623", "answer_type": "rational", "kind": "expression", "math_text": "55272 / (-25361) * (-6760 + (-3127))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 55272, \"b\": -25361, \"c\": -6760, \"d\": -3127}", "seed": "230204515871362177", "semantic_fingerprint": "sha256:c86e31deb004bdc2b3d1a278c6c4c569b9f6e6e4c1ef47dc2a16bdd35043c6be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004121", "prompt": "What is -3378 - (-42989) / 23258 + (-4300)?", "solution_steps": ["Divide: -42989 / 23258 = -42989/23258", "Subtract: -3378 - (-42989/23258) = -78522535/23258", "Add: -78522535/23258 + (-4300) = -178531935/23258"], "final_answer": "-178531935/23258", "answer_type": "rational", "kind": "expression", "math_text": "-3378 - (-42989) / 23258 + (-4300)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3378, \"b\": -42989, \"c\": 23258, \"d\": -4300}", "seed": "275160257945683717", "semantic_fingerprint": "sha256:368c017726f064e8c65e5c1bb72ca2a8ad786c9ae386fd11741431676e5b0950", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004122", "prompt": "Calculate: -8036 + 6686 + (2873 + (-17046))", "solution_steps": ["Add: -8036 + 6686 = -1350", "Add: 2873 + (-17046) = -14173", "Add: -1350 + (-14173) = -15523"], "final_answer": "-15523", "answer_type": "integer", "kind": "expression", "math_text": "-8036 + 6686 + (2873 + (-17046))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8036, \"b\": 6686, \"c\": 2873, \"d\": -17046}", "seed": "13470636880033479251", "semantic_fingerprint": "sha256:ff66bdd3f78209deb549324908c7dd72720f1b8481bccc45289fad55e9dd8fec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004123", "prompt": "Calculate: 8685 / 2787 - 7692", "solution_steps": ["Divide: 8685 / 2787 = 2895/929", "Subtract: 2895/929 - 7692 = -7142973/929"], "final_answer": "-7142973/929", "answer_type": "rational", "kind": "expression", "math_text": "8685 / 2787 - 7692", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8685, \"b\": 2787, \"c\": 7692}", "seed": "13316979127055996403", "semantic_fingerprint": "sha256:5b5cf09ff8c82d7104b79f1c172a71bac449efb8daf1361e89082bae5b17d39e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004124", "prompt": "What value of x satisfies 17(x + 61628) = 21x?", "solution_steps": ["Expand: 17x + 1047676 = 21x", "Subtract 21x from both sides: -4x + 1047676 = 0", "Subtract 1047676 from both sides: -4x = -1047676", "Divide both sides by -4: x = 261919"], "final_answer": "261919", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x + 61628) = 21x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 61628, \"c\": 21}", "seed": "4943332578584858278", "semantic_fingerprint": "sha256:e5624ee79e3d43b12345f20892916542488425b1362f5767f1b32eb873b036d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004125", "prompt": "What is -4400 * (-9865)?", "solution_steps": ["Multiply: -4400 * (-9865) = 43406000"], "final_answer": "43406000", "answer_type": "integer", "kind": "expression", "math_text": "-4400 * (-9865)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4400, \"b\": -9865}", "seed": "12669196421271600097", "semantic_fingerprint": "sha256:1c3a345f34990211f332eef1f50075f1a507bff452d515a4ba9b77a050e4f831", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004126", "prompt": "Solve the equation -31(x + 28621) = -38(x - 1752) for x.", "solution_steps": ["Expand: -31x - 887251 = -38(x - 1752)", "Expand: -31x - 887251 = -38x + 66576", "Add 38x to both sides: 7x - 887251 = 66576", "Add 887251 to both sides: 7x = 953827", "Divide both sides by 7: x = 136261"], "final_answer": "136261", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31(x + 28621) = -38(x - 1752)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 28621, \"c\": -38, \"d\": 1752}", "seed": "16731342852997025229", "semantic_fingerprint": "sha256:f0e5bbead7c95f45effa067f7707884fe9c7281831a26cc130406caf90431e41", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004127", "prompt": "Evaluate: 8962 - (-4078)", "solution_steps": ["Subtract: 8962 - (-4078) = 13040"], "final_answer": "13040", "answer_type": "integer", "kind": "expression", "math_text": "8962 - (-4078)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8962, \"b\": -4078}", "seed": "6699267892701915997", "semantic_fingerprint": "sha256:839c6028ecc23493eb2f1f1af9f725a5a0f2e87be91f8bddcca9910af23cffd0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004128", "prompt": "What is 44774 / 8080?", "solution_steps": ["Divide: 44774 / 8080 = 22387/4040"], "final_answer": "22387/4040", "answer_type": "rational", "kind": "expression", "math_text": "44774 / 8080", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44774, \"b\": 8080}", "seed": "10869619071113617047", "semantic_fingerprint": "sha256:f20e57d3c03ee28d7269912e9f5b2333d3d284df55c3020eed0ff1ad91607443", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004129", "prompt": "Calculate: 9568 / (-70725) - (-9864)", "solution_steps": ["Divide: 9568 / (-70725) = -416/3075", "Subtract: -416/3075 - (-9864) = 30331384/3075"], "final_answer": "30331384/3075", "answer_type": "rational", "kind": "expression", "math_text": "9568 / (-70725) - (-9864)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9568, \"b\": -70725, \"c\": -9864}", "seed": "12568791010941243797", "semantic_fingerprint": "sha256:3171650fc6e13344140ce45ef9a48c9aa71f7c53ab090acb53c48d1c1680cf08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004130", "prompt": "Solve the equation x + 9010 = 40x + 87832 for x.", "solution_steps": ["Subtract 40x from both sides: -39x + 9010 = 87832", "Subtract 9010 from both sides: -39x = 78822", "Divide both sides by -39: x = -26274/13"], "final_answer": "-26274/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9010 = 40x + 87832", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9010, \"b\": 40, \"c\": 87832}", "seed": "13696640964760945191", "semantic_fingerprint": "sha256:e3469f2dcc22a274753002ceead880df1f1f0b26bbaa031f751685ab0e564d10", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004131", "prompt": "Compute: 6391 + (-6146 - (-7766) - (-39074 + 5653))", "solution_steps": ["Subtract: -6146 - (-7766) = 1620", "Add: -39074 + 5653 = -33421", "Subtract: 1620 - (-33421) = 35041", "Add: 6391 + 35041 = 41432"], "final_answer": "41432", "answer_type": "integer", "kind": "expression", "math_text": "6391 + (-6146 - (-7766) - (-39074 + 5653))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6391, \"b\": -6146, \"c\": -7766, \"d\": -39074, \"e\": 5653}", "seed": "12644878721759896432", "semantic_fingerprint": "sha256:0f93e8dab275b74c2249920a6ceb5c7a60acec3dcae571b0f89c778e099bb848", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004132", "prompt": "What is 1717 + (-87317)?", "solution_steps": ["Add: 1717 + (-87317) = -85600"], "final_answer": "-85600", "answer_type": "integer", "kind": "expression", "math_text": "1717 + (-87317)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1717, \"b\": -87317}", "seed": "14272685594628297065", "semantic_fingerprint": "sha256:37364a587688e22af5c16cb1a21b37686bf3aa79e862005aac44aa0241d9631f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004133", "prompt": "Calculate: -99827 * (-1841 + 1928 + 46689)", "solution_steps": ["Add: -1841 + 1928 = 87", "Add: 87 + 46689 = 46776", "Multiply: -99827 * 46776 = -4669507752"], "final_answer": "-4669507752", "answer_type": "integer", "kind": "expression", "math_text": "-99827 * (-1841 + 1928 + 46689)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -99827, \"b\": -1841, \"c\": 1928, \"d\": 46689}", "seed": "12953244672092069255", "semantic_fingerprint": "sha256:824df39c3ae85b517dd896afb69c6c9d1853df48ec63becc1abdaec0cdcd9dfb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004134", "prompt": "Compute: -5528 + 19560", "solution_steps": ["Add: -5528 + 19560 = 14032"], "final_answer": "14032", "answer_type": "integer", "kind": "expression", "math_text": "-5528 + 19560", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5528, \"b\": 19560}", "seed": "16849372297216485225", "semantic_fingerprint": "sha256:cb703ecbb52873ad61fbdb205fd07121d88d19da65b00f0cf9fd08b0becf14f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004135", "prompt": "Calculate: -2434 / (-30274) * (-6356)", "solution_steps": ["Divide: -2434 / (-30274) = 1217/15137", "Multiply: (1217/15137) * (-6356) = -7735252/15137"], "final_answer": "-7735252/15137", "answer_type": "rational", "kind": "expression", "math_text": "-2434 / (-30274) * (-6356)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2434, \"b\": -30274, \"c\": -6356}", "seed": "894442176458555793", "semantic_fingerprint": "sha256:a0edd05855174cdb1ebdf6faf85ea1dcc490f76da105091639cfd5b206cdc869", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004136", "prompt": "Compute: -1243 * (66466 / (-3032))", "solution_steps": ["Divide: 66466 / (-3032) = -33233/1516", "Multiply: -1243 * (-33233/1516) = 41308619/1516"], "final_answer": "41308619/1516", "answer_type": "rational", "kind": "expression", "math_text": "-1243 * (66466 / (-3032))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1243, \"b\": 66466, \"c\": -3032}", "seed": "1533540752332366177", "semantic_fingerprint": "sha256:7172fc798d4fd5d0d951317427c62c0190260a1b01e664f121edfda1333c1fa7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004137", "prompt": "Evaluate: (-8267 + 9368) / 6172 - 3014", "solution_steps": ["Add: -8267 + 9368 = 1101", "Divide: 1101 / 6172 = 1101/6172", "Subtract: 1101/6172 - 3014 = -18601307/6172"], "final_answer": "-18601307/6172", "answer_type": "rational", "kind": "expression", "math_text": "(-8267 + 9368) / 6172 - 3014", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8267, \"b\": 9368, \"c\": 6172, \"d\": 3014}", "seed": "18153693651569178438", "semantic_fingerprint": "sha256:11f56529ae7804f385113d792508add7f2bf1345fe5ead5580bcd7cb19e42c57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004138", "prompt": "Calculate: 5713 * (-60061 * (-1602))", "solution_steps": ["Multiply: -60061 * (-1602) = 96217722", "Multiply: 5713 * 96217722 = 549691845786"], "final_answer": "549691845786", "answer_type": "integer", "kind": "expression", "math_text": "5713 * (-60061 * (-1602))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5713, \"b\": -60061, \"c\": -1602}", "seed": "2922126077033177167", "semantic_fingerprint": "sha256:9f23ac87f16a6233c865c2b3c0a194e52a27812cac78a36e2664d92502020953", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004139", "prompt": "What value of x satisfies 13(x - 4052) = -32(x - 65667)?", "solution_steps": ["Expand: 13x - 52676 = -32(x - 65667)", "Expand: 13x - 52676 = -32x + 2101344", "Add 32x to both sides: 45x - 52676 = 2101344", "Add 52676 to both sides: 45x = 2154020", "Divide both sides by 45: x = 430804/9"], "final_answer": "430804/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x - 4052) = -32(x - 65667)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 4052, \"c\": -32, \"d\": 65667}", "seed": "17953821786685774456", "semantic_fingerprint": "sha256:35847d06e9754baa9a1f3a03df4ea366337c9e67f6c6e2d2e432e793a836f572", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004140", "prompt": "Solve for x: 32(x + 49717) - 33055 = 33x + 6451", "solution_steps": ["Expand: 32x + 1590944 - 33055 = 33x + 6451", "Combine constants: 32x + 1557889 = 33x + 6451", "Subtract 33x from both sides: -x + 1557889 = 6451", "Subtract 1557889 from both sides: -x = -1551438", "Divide both sides by -1: x = 1551438"], "final_answer": "1551438", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x + 49717) - 33055 = 33x + 6451", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 49717, \"c\": 33055, \"d\": 33, \"e\": 6451}", "seed": "1185170715365851230", "semantic_fingerprint": "sha256:1ddc0b9872ee2a576a63d7b6c43173270bee9405f46da2724982cba1768d4162", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004141", "prompt": "Find x: x - 9175 = -8923", "solution_steps": ["Add 9175 to both sides: x = 252"], "final_answer": "252", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9175 = -8923", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9175, \"b\": -8923}", "seed": "8621873869044837914", "semantic_fingerprint": "sha256:9d97fac3ec98ead4f9525ef1be77314c1f062f5aa8836127b0c9b656ecc68d97", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004142", "prompt": "What value of x satisfies x + 1008 = 15x?", "solution_steps": ["Subtract 15x from both sides: -14x + 1008 = 0", "Subtract 1008 from both sides: -14x = -1008", "Divide both sides by -14: x = 72"], "final_answer": "72", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1008 = 15x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"c\": 1008, \"x\": 72}", "seed": "13434262512980315097", "semantic_fingerprint": "sha256:9388b4552154c2ff6159594ae8539ae5268224dce4149191d92a56920210b3df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004143", "prompt": "Calculate: 23351 + 86897 + (-67010)", "solution_steps": ["Add: 23351 + 86897 = 110248", "Add: 110248 + (-67010) = 43238"], "final_answer": "43238", "answer_type": "integer", "kind": "expression", "math_text": "23351 + 86897 + (-67010)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23351, \"b\": 86897, \"c\": -67010}", "seed": "1811126233204522480", "semantic_fingerprint": "sha256:7d03c8474970a4f76809c5a1ab66645f95239a2eccf8c09942a64cdcb1ad7429", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004144", "prompt": "What is -7934 * (-1895)?", "solution_steps": ["Multiply: -7934 * (-1895) = 15034930"], "final_answer": "15034930", "answer_type": "integer", "kind": "expression", "math_text": "-7934 * (-1895)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7934, \"b\": -1895}", "seed": "17485232967699840027", "semantic_fingerprint": "sha256:681a9afa5b1a58c8c4958c268d15777786b5fdb28aeb1e84ad69b83e21feb678", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004145", "prompt": "What is 42178 + (-19277) + (-2405) / (-2694)?", "solution_steps": ["Add: 42178 + (-19277) = 22901", "Divide: -2405 / (-2694) = 2405/2694", "Add: 22901 + 2405/2694 = 61697699/2694"], "final_answer": "61697699/2694", "answer_type": "rational", "kind": "expression", "math_text": "42178 + (-19277) + (-2405) / (-2694)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 42178, \"b\": -19277, \"c\": -2405, \"d\": -2694}", "seed": "7225498029520391118", "semantic_fingerprint": "sha256:3520e8d1fde976bd6a28fe0a575692d8e20138bb3ab57f45ab4fd3e4802c7774", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004146", "prompt": "Find x: -38(x - 8954) = -15(x - 1076) - 85117", "solution_steps": ["Expand: -38x + 340252 = -15(x - 1076) - 85117", "Expand: -38x + 340252 = -15x + 16140 - 85117", "Combine constants: -38x + 340252 = -15x - 68977", "Add 15x to both sides: -23x + 340252 = -68977", "Subtract 340252 from both sides: -23x = -409229", "Divide both sides by -23: x = 409229/23"], "final_answer": "409229/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x - 8954) = -15(x - 1076) - 85117", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 8954, \"c\": -15, \"d\": 1076, \"e\": 85117}", "seed": "13700420623081423820", "semantic_fingerprint": "sha256:f62114f31f5610c82424e7b39998e54d35aac5aa9ad2490e7c688662606187d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004147", "prompt": "Find x: 21x + 8560 = 15x + 8320", "solution_steps": ["Subtract 15x from both sides: 6x + 8560 = 8320", "Subtract 8560 from both sides: 6x = -240", "Divide both sides by 6: x = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 8560 = 15x + 8320", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 8560, \"c\": 15, \"e\": 8320, \"x\": -40}", "seed": "14690026914490043632", "semantic_fingerprint": "sha256:5f92dced10e6edd9ee71b5928747635a2b63cf8dd08cb5b8e5c1c4f1c3edbef0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004148", "prompt": "Calculate: -7329 * (-32883)", "solution_steps": ["Multiply: -7329 * (-32883) = 240999507"], "final_answer": "240999507", "answer_type": "integer", "kind": "expression", "math_text": "-7329 * (-32883)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7329, \"b\": -32883}", "seed": "12359696000478058800", "semantic_fingerprint": "sha256:a85076facc092e78424e7fe5fa0cf46415ca4383cd5053bf77dcdce14edfb806", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004149", "prompt": "What is 16055 - 7387 - (3151 + 4161)?", "solution_steps": ["Subtract: 16055 - 7387 = 8668", "Add: 3151 + 4161 = 7312", "Subtract: 8668 - 7312 = 1356"], "final_answer": "1356", "answer_type": "integer", "kind": "expression", "math_text": "16055 - 7387 - (3151 + 4161)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16055, \"b\": 7387, \"c\": 3151, \"d\": 4161}", "seed": "14969253448590388455", "semantic_fingerprint": "sha256:e6da17af2d8895749c61053fb6dfc3a43ebe772be4154f10a505ca91219ee41c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004150", "prompt": "Solve the equation 21(x + 2819) + 81396 = -38(x + 25931) + 1732 for x.", "solution_steps": ["Expand: 21x + 59199 + 81396 = -38(x + 25931) + 1732", "Expand: 21x + 59199 + 81396 = -38x - 985378 + 1732", "Combine constants: 21x + 140595 = -38x - 985378 + 1732", "Combine constants: 21x + 140595 = -38x - 983646", "Add 38x to both sides: 59x + 140595 = -983646", "Subtract 140595 from both sides: 59x = -1124241", "Divide both sides by 59: x = -1124241/59"], "final_answer": "-1124241/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 2819) + 81396 = -38(x + 25931) + 1732", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 2819, \"c\": 81396, \"d\": -38, \"e\": 25931, \"f\": 1732}", "seed": "635626444629998879", "semantic_fingerprint": "sha256:05b831568728ffca5a8b681d90959699dfaeee22fb7e1841db1ca96da1f6e2d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004151", "prompt": "Find x: -34(x + 4331) + 97856 = -33(x - 58216) - 4785", "solution_steps": ["Expand: -34x - 147254 + 97856 = -33(x - 58216) - 4785", "Expand: -34x - 147254 + 97856 = -33x + 1921128 - 4785", "Combine constants: -34x - 49398 = -33x + 1921128 - 4785", "Combine constants: -34x - 49398 = -33x + 1916343", "Add 33x to both sides: -x - 49398 = 1916343", "Add 49398 to both sides: -x = 1965741", "Divide both sides by -1: x = -1965741"], "final_answer": "-1965741", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34(x + 4331) + 97856 = -33(x - 58216) - 4785", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 4331, \"c\": 97856, \"d\": -33, \"e\": 58216, \"f\": 4785}", "seed": "9928312146250423605", "semantic_fingerprint": "sha256:eed443fdb2b2af0e550f098fa7bed10e36ff26145c7479cb754f5776851f875f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004152", "prompt": "Compute: 64338 + (-15124)", "solution_steps": ["Add: 64338 + (-15124) = 49214"], "final_answer": "49214", "answer_type": "integer", "kind": "expression", "math_text": "64338 + (-15124)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 64338, \"b\": -15124}", "seed": "15537065794167723191", "semantic_fingerprint": "sha256:11a08c6b33837b42e18843693c3eca0855700ffb8f6cb5d7029ba468310ed95c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004153", "prompt": "Compute: -68961 / (-1326) + (-3094)", "solution_steps": ["Divide: -68961 / (-1326) = 22987/442", "Add: 22987/442 + (-3094) = -1344561/442"], "final_answer": "-1344561/442", "answer_type": "rational", "kind": "expression", "math_text": "-68961 / (-1326) + (-3094)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -68961, \"b\": -1326, \"c\": -3094}", "seed": "1309530588942812404", "semantic_fingerprint": "sha256:fcd2c015e33b1b2ba4d69a3e5c5d4aeb78326a5e1baf9d4e966acdd4588f12c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004154", "prompt": "Evaluate: -65136 + 2559", "solution_steps": ["Add: -65136 + 2559 = -62577"], "final_answer": "-62577", "answer_type": "integer", "kind": "expression", "math_text": "-65136 + 2559", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -65136, \"b\": 2559}", "seed": "2839332589973741210", "semantic_fingerprint": "sha256:0a268bed814aa040142313764b9311fb2b80e061dfd676bd82c2567b90556e3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004155", "prompt": "Solve the equation 33(x - 6606) - 49221 = x - 83302 for x.", "solution_steps": ["Expand: 33x - 217998 - 49221 = x - 83302", "Combine constants: 33x - 267219 = x - 83302", "Subtract x from both sides: 32x - 267219 = -83302", "Add 267219 to both sides: 32x = 183917", "Divide both sides by 32: x = 183917/32"], "final_answer": "183917/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 6606) - 49221 = x - 83302", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 6606, \"c\": 49221, \"d\": 83302}", "seed": "7357031745197443479", "semantic_fingerprint": "sha256:f0bfa6c1c2fced28d7cf04bc34defc76aee017947575cddbba19ebfdee4d8aa7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004156", "prompt": "Solve for x: 30x + 45435 = 13x - 4230", "solution_steps": ["Subtract 13x from both sides: 17x + 45435 = -4230", "Subtract 45435 from both sides: 17x = -49665", "Divide both sides by 17: x = -49665/17"], "final_answer": "-49665/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x + 45435 = 13x - 4230", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 45435, \"c\": 13, \"d\": 4230}", "seed": "15375326114507495854", "semantic_fingerprint": "sha256:310e12e88b6fb5803690d106a481242b69e42bc5d4b8589f94e213ba4fb1bb7c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004157", "prompt": "What value of x satisfies 20(x - 8077) + 6561 = x + 5365?", "solution_steps": ["Expand: 20x - 161540 + 6561 = x + 5365", "Combine constants: 20x - 154979 = x + 5365", "Subtract x from both sides: 19x - 154979 = 5365", "Add 154979 to both sides: 19x = 160344", "Divide both sides by 19: x = 160344/19"], "final_answer": "160344/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 8077) + 6561 = x + 5365", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 8077, \"c\": 6561, \"d\": 5365}", "seed": "10706716102041098257", "semantic_fingerprint": "sha256:001ad75eb525511e3e2a194c08d28660b621bedfe8fef92ff520c7b6b22428a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004158", "prompt": "Calculate: -18994 / 5125 * 48294", "solution_steps": ["Divide: -18994 / 5125 = -18994/5125", "Multiply: (-18994/5125) * 48294 = -917296236/5125"], "final_answer": "-917296236/5125", "answer_type": "rational", "kind": "expression", "math_text": "-18994 / 5125 * 48294", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18994, \"b\": 5125, \"c\": 48294}", "seed": "5044078150276579131", "semantic_fingerprint": "sha256:44782cde4290830b83fbfe45b25d6a732ee7969290aa3c3c6f58d9bfbbeb60e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004159", "prompt": "What is -7837 / (-3552 - 7960) * (5452 + 2463 - 4899)?", "solution_steps": ["Subtract: -3552 - 7960 = -11512", "Divide: -7837 / (-11512) = 7837/11512", "Add: 5452 + 2463 = 7915", "Subtract: 7915 - 4899 = 3016", "Multiply: (7837/11512) * 3016 = 2954549/1439"], "final_answer": "2954549/1439", "answer_type": "rational", "kind": "expression", "math_text": "-7837 / (-3552 - 7960) * (5452 + 2463 - 4899)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7837, \"b\": -3552, \"c\": 7960, \"d\": 5452, \"e\": 2463, \"f\": 4899}", "seed": "14138708774397674470", "semantic_fingerprint": "sha256:f51f425a75bd396af9b804423f6b40a172cdde1e5c90cffcb63dd6bb1b7482e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004160", "prompt": "Solve the equation 32x = -24x for x.", "solution_steps": ["Add 24x to both sides: 56x = 0", "Divide both sides by 56: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = -24x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": -24}", "seed": "4374394844027213091", "semantic_fingerprint": "sha256:7f214d2e027f8bfc2b77a220c486bd461a08019d3dfd1bac166aa7b91113e6e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004161", "prompt": "Calculate: (5339 + (-2354 + 1341 + 2459)) / (-9408 + (-2187))", "solution_steps": ["Add: -2354 + 1341 = -1013", "Add: -1013 + 2459 = 1446", "Add: 5339 + 1446 = 6785", "Add: -9408 + (-2187) = -11595", "Divide: 6785 / (-11595) = -1357/2319"], "final_answer": "-1357/2319", "answer_type": "rational", "kind": "expression", "math_text": "(5339 + (-2354 + 1341 + 2459)) / (-9408 + (-2187))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ (+ n n) n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5339, \"b\": -2354, \"c\": 1341, \"d\": 2459, \"e\": -9408, \"f\": -2187}", "seed": "15625887892056643298", "semantic_fingerprint": "sha256:d62646514a181bd0f3e78ce3730838471f7392a85dccf97aa6f97737991633d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004162", "prompt": "What value of x satisfies x - 19693 = -18x - 17508?", "solution_steps": ["Add 18x to both sides: 19x - 19693 = -17508", "Add 19693 to both sides: 19x = 2185", "Divide both sides by 19: x = 115"], "final_answer": "115", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 19693 = -18x - 17508", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19693, \"b\": -18, \"d\": -17508, \"x\": 115}", "seed": "12604505680713867821", "semantic_fingerprint": "sha256:dc91bcd9c37d78d3e638dc16473d83773f8dfd27c24b322927d58d42e70297fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004163", "prompt": "Find x: 37(x - 68443) - 14377 = 28(x - 63224) + 92444", "solution_steps": ["Expand: 37x - 2532391 - 14377 = 28(x - 63224) + 92444", "Expand: 37x - 2532391 - 14377 = 28x - 1770272 + 92444", "Combine constants: 37x - 2546768 = 28x - 1770272 + 92444", "Combine constants: 37x - 2546768 = 28x - 1677828", "Subtract 28x from both sides: 9x - 2546768 = -1677828", "Add 2546768 to both sides: 9x = 868940", "Divide both sides by 9: x = 868940/9"], "final_answer": "868940/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 68443) - 14377 = 28(x - 63224) + 92444", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 68443, \"c\": 14377, \"d\": 28, \"e\": 63224, \"f\": 92444}", "seed": "7807160082343876390", "semantic_fingerprint": "sha256:1f3233dd697d3453c98996ae8321cd9d9995540ea79f1f54b9847e8022b32d2a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004164", "prompt": "Calculate: 77269 / (-13917 / (-96003))", "solution_steps": ["Divide: -13917 / (-96003) = 4639/32001", "Divide: 77269 / (4639/32001) = 2472685269/4639"], "final_answer": "2472685269/4639", "answer_type": "rational", "kind": "expression", "math_text": "77269 / (-13917 / (-96003))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77269, \"b\": -13917, \"c\": -96003}", "seed": "17169180615749853534", "semantic_fingerprint": "sha256:e32d8a7e519d29092aa2638113f76575b1be2938fd6e3c7ab6a510affb97c8bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004165", "prompt": "Solve the equation x - 45538 = 22x - 65294 for x.", "solution_steps": ["Subtract 22x from both sides: -21x - 45538 = -65294", "Add 45538 to both sides: -21x = -19756", "Divide both sides by -21: x = 19756/21"], "final_answer": "19756/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 45538 = 22x - 65294", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 45538, \"b\": 22, \"c\": 65294}", "seed": "13164014494375715321", "semantic_fingerprint": "sha256:01e3185b5b9aa33e4f8de5b185c271e3bea2dd1e3d978bd7731e1d4620903a8f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004166", "prompt": "What is 1020 * 3824 - (-65610) / 93870?", "solution_steps": ["Multiply: 1020 * 3824 = 3900480", "Divide: -65610 / 93870 = -729/1043", "Subtract: 3900480 - (-729/1043) = 4068201369/1043"], "final_answer": "4068201369/1043", "answer_type": "rational", "kind": "expression", "math_text": "1020 * 3824 - (-65610) / 93870", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1020, \"b\": 3824, \"c\": -65610, \"d\": 93870}", "seed": "14906642938791314677", "semantic_fingerprint": "sha256:9659b85dd8343bf277275ccb3f78b362897eda80d908214c5423911bdf7f5cd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004167", "prompt": "Evaluate: 58177 + 68279 + (-75846) + (-1825)", "solution_steps": ["Add: 58177 + 68279 = 126456", "Add: 126456 + (-75846) = 50610", "Add: 50610 + (-1825) = 48785"], "final_answer": "48785", "answer_type": "integer", "kind": "expression", "math_text": "58177 + 68279 + (-75846) + (-1825)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 58177, \"b\": 68279, \"c\": -75846, \"d\": -1825}", "seed": "5921202731199634983", "semantic_fingerprint": "sha256:1a44113aafefaaa82b86f171f66e0cf2ed459417c3fd37be629208e6e828ccf1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004168", "prompt": "Evaluate: (9440 + (-1465)) * (-47228 + 8002)", "solution_steps": ["Add: 9440 + (-1465) = 7975", "Add: -47228 + 8002 = -39226", "Multiply: 7975 * (-39226) = -312827350"], "final_answer": "-312827350", "answer_type": "integer", "kind": "expression", "math_text": "(9440 + (-1465)) * (-47228 + 8002)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9440, \"b\": -1465, \"c\": -47228, \"d\": 8002}", "seed": "9136887196734316136", "semantic_fingerprint": "sha256:6cc58ca9531157fa4b327c1536fdbcc97c9f2bb8b331a76991128847eed3fdc0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004169", "prompt": "Compute: 95391 / 8945 + (-59537)", "solution_steps": ["Divide: 95391 / 8945 = 95391/8945", "Add: 95391/8945 + (-59537) = -532463074/8945"], "final_answer": "-532463074/8945", "answer_type": "rational", "kind": "expression", "math_text": "95391 / 8945 + (-59537)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95391, \"b\": 8945, \"c\": -59537}", "seed": "17196085055605580456", "semantic_fingerprint": "sha256:a2765e0dc54222057e21b2dc165951c4336d1bb87664c3715d4e379c214fc230", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004170", "prompt": "Calculate: -2364 - 6595 + (-3164)", "solution_steps": ["Subtract: -2364 - 6595 = -8959", "Add: -8959 + (-3164) = -12123"], "final_answer": "-12123", "answer_type": "integer", "kind": "expression", "math_text": "-2364 - 6595 + (-3164)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2364, \"b\": 6595, \"c\": -3164}", "seed": "11581052010492197979", "semantic_fingerprint": "sha256:47aa75e3abb4a787277dc368d8543ad82dd599cca91c4f6995138ed4299fdc4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004171", "prompt": "Solve the equation -40(x + 93023) = x for x.", "solution_steps": ["Expand: -40x - 3720920 = x", "Subtract x from both sides: -41x - 3720920 = 0", "Add 3720920 to both sides: -41x = 3720920", "Divide both sides by -41: x = -3720920/41"], "final_answer": "-3720920/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 93023) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 93023}", "seed": "14619117616045031728", "semantic_fingerprint": "sha256:ab5413aa091ee67b107d64ff06f6a0426318537ddd5c37f8b8c160bcc2e1ed88", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004172", "prompt": "Solve for x: x + 5720 = 5607", "solution_steps": ["Subtract 5720 from both sides: x = -113"], "final_answer": "-113", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5720 = 5607", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5720, \"c\": 5607, \"x\": -113}", "seed": "5723323293696749506", "semantic_fingerprint": "sha256:c0c53a88bc7f4915e4ee0f4b9a393a1045b94e72da6f71da282cc58fd971c371", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004173", "prompt": "What is -8447 / (-9903)?", "solution_steps": ["Divide: -8447 / (-9903) = 8447/9903"], "final_answer": "8447/9903", "answer_type": "rational", "kind": "expression", "math_text": "-8447 / (-9903)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8447, \"b\": -9903}", "seed": "300115580272950978", "semantic_fingerprint": "sha256:65e5e5fb1bc1414899a1ba1739353f746eb341747c8dd68457776376f38e35e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004174", "prompt": "Solve the equation -17(x + 21981) = -28(x + 91658) for x.", "solution_steps": ["Expand: -17x - 373677 = -28(x + 91658)", "Expand: -17x - 373677 = -28x - 2566424", "Add 28x to both sides: 11x - 373677 = -2566424", "Add 373677 to both sides: 11x = -2192747", "Divide both sides by 11: x = -2192747/11"], "final_answer": "-2192747/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 21981) = -28(x + 91658)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 21981, \"c\": -28, \"d\": 91658}", "seed": "2326617175670857923", "semantic_fingerprint": "sha256:2b6452fbc4ed9e5deee6f63c7f0688da2aa7565e70cdbe36c56220559af2bf45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004175", "prompt": "Calculate: 5871 * (-6338) * 7746 + (-60310) * 74251", "solution_steps": ["Multiply: 5871 * (-6338) = -37210398", "Multiply: -37210398 * 7746 = -288231742908", "Multiply: -60310 * 74251 = -4478077810", "Add: -288231742908 + (-4478077810) = -292709820718"], "final_answer": "-292709820718", "answer_type": "integer", "kind": "expression", "math_text": "5871 * (-6338) * 7746 + (-60310) * 74251", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5871, \"b\": -6338, \"c\": 7746, \"d\": -60310, \"e\": 74251}", "seed": "10719672828821393466", "semantic_fingerprint": "sha256:3fc6f7f1ab2e4075e17c80683142ef548a1629430ebb13e75f42ae3343f061a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004176", "prompt": "Calculate: -79522 - 24900", "solution_steps": ["Subtract: -79522 - 24900 = -104422"], "final_answer": "-104422", "answer_type": "integer", "kind": "expression", "math_text": "-79522 - 24900", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -79522, \"b\": 24900}", "seed": "8469692976830294664", "semantic_fingerprint": "sha256:551b96499bc1425c1f1503236a02ac29524536c9d9f77f46baf942f01c37859d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004177", "prompt": "Compute: -1496 + (-2030 - (45221 + 1823 / (-8642)) + 4944)", "solution_steps": ["Divide: 1823 / (-8642) = -1823/8642", "Add: 45221 + (-1823/8642) = 390798059/8642", "Subtract: -2030 - 390798059/8642 = -408341319/8642", "Add: -408341319/8642 + 4944 = -365615271/8642", "Add: -1496 + (-365615271/8642) = -378543703/8642"], "final_answer": "-378543703/8642", "answer_type": "rational", "kind": "expression", "math_text": "-1496 + (-2030 - (45221 + 1823 / (-8642)) + 4944)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- n (+ n (/ n n))) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1496, \"b\": -2030, \"c\": 45221, \"d\": 1823, \"e\": -8642, \"f\": 4944}", "seed": "1493795934880321771", "semantic_fingerprint": "sha256:3a4366be01a32e1632ba9625ecf7a90e06137a0e5dd3b09d210a3071ada848af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004178", "prompt": "Find x: -16(x + 8962) - 2651 = 22(x + 4802) - 44085", "solution_steps": ["Expand: -16x - 143392 - 2651 = 22(x + 4802) - 44085", "Expand: -16x - 143392 - 2651 = 22x + 105644 - 44085", "Combine constants: -16x - 146043 = 22x + 105644 - 44085", "Combine constants: -16x - 146043 = 22x + 61559", "Subtract 22x from both sides: -38x - 146043 = 61559", "Add 146043 to both sides: -38x = 207602", "Divide both sides by -38: x = -103801/19"], "final_answer": "-103801/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 8962) - 2651 = 22(x + 4802) - 44085", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 8962, \"c\": 2651, \"d\": 22, \"e\": 4802, \"f\": 44085}", "seed": "14286631241209696101", "semantic_fingerprint": "sha256:4f5a81834c0f28fcfd208d49ded80902016c38763cd23af07b0eb24431b6c8c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004179", "prompt": "What is 5908 / 6017 - 2933?", "solution_steps": ["Divide: 5908 / 6017 = 5908/6017", "Subtract: 5908/6017 - 2933 = -17641953/6017"], "final_answer": "-17641953/6017", "answer_type": "rational", "kind": "expression", "math_text": "5908 / 6017 - 2933", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5908, \"b\": 6017, \"c\": 2933}", "seed": "12011246795475262847", "semantic_fingerprint": "sha256:8bebc54e7b92b71710355b3e431ea39ecc2b60578be25de41370db505b884458", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004180", "prompt": "Calculate: (2518 - (-9437)) * 11997", "solution_steps": ["Subtract: 2518 - (-9437) = 11955", "Multiply: 11955 * 11997 = 143424135"], "final_answer": "143424135", "answer_type": "integer", "kind": "expression", "math_text": "(2518 - (-9437)) * 11997", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2518, \"b\": -9437, \"c\": 11997}", "seed": "17866508887152687231", "semantic_fingerprint": "sha256:2b2a7cae488d1770ca0deb4e1435b52f9d6fc51b9a2c38b0851f3f84ccc92375", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004181", "prompt": "Compute: 7623 - 25060", "solution_steps": ["Subtract: 7623 - 25060 = -17437"], "final_answer": "-17437", "answer_type": "integer", "kind": "expression", "math_text": "7623 - 25060", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7623, \"b\": 25060}", "seed": "16425769409683063010", "semantic_fingerprint": "sha256:884fa7ff1560634da0233093aa0bb9a910b613e6f2ef39c576b56b32eb1f0992", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004182", "prompt": "Compute: 2133 / (-1614) + (11333 - 6878 + (-8348))", "solution_steps": ["Divide: 2133 / (-1614) = -711/538", "Subtract: 11333 - 6878 = 4455", "Add: 4455 + (-8348) = -3893", "Add: -711/538 + (-3893) = -2095145/538"], "final_answer": "-2095145/538", "answer_type": "rational", "kind": "expression", "math_text": "2133 / (-1614) + (11333 - 6878 + (-8348))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2133, \"b\": -1614, \"c\": 11333, \"d\": 6878, \"e\": -8348}", "seed": "6716841054385985687", "semantic_fingerprint": "sha256:e9e2f62828bc5c870e4770c947f84ef688570ddefa0e61af28ccecde99c449fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004183", "prompt": "What is 2266 - (-7348)?", "solution_steps": ["Subtract: 2266 - (-7348) = 9614"], "final_answer": "9614", "answer_type": "integer", "kind": "expression", "math_text": "2266 - (-7348)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2266, \"b\": -7348}", "seed": "1636378496662378358", "semantic_fingerprint": "sha256:e436044d18ef1c9444ba37686055a4f019fbb906983944ee9006fa34e17c8155", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004184", "prompt": "Find x: 27x + 1038 = 15x - 19345", "solution_steps": ["Subtract 15x from both sides: 12x + 1038 = -19345", "Subtract 1038 from both sides: 12x = -20383", "Divide both sides by 12: x = -20383/12"], "final_answer": "-20383/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "27x + 1038 = 15x - 19345", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 1038, \"c\": 15, \"d\": 19345}", "seed": "6708562568066301295", "semantic_fingerprint": "sha256:5731e29d16366ba50f6fa49f5e7c0fcde8a13f05b3f8d2672fc6ba92e31915af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004185", "prompt": "Solve for x: 14x = -15x", "solution_steps": ["Add 15x to both sides: 29x = 0", "Divide both sides by 29: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = -15x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": -15}", "seed": "1679337447791277057", "semantic_fingerprint": "sha256:efb94e0ab7ca0c2ad5cf8d73fda345627a108f3b142cb50e1723f4ba104a016b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004186", "prompt": "Evaluate: -4628 + (-4420) * (98652 / (-2377))", "solution_steps": ["Divide: 98652 / (-2377) = -98652/2377", "Multiply: -4420 * (-98652/2377) = 436041840/2377", "Add: -4628 + 436041840/2377 = 425041084/2377"], "final_answer": "425041084/2377", "answer_type": "rational", "kind": "expression", "math_text": "-4628 + (-4420) * (98652 / (-2377))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4628, \"b\": -4420, \"c\": 98652, \"d\": -2377}", "seed": "1639357022772793712", "semantic_fingerprint": "sha256:ea38fba7b22c57732bd709f8da91a2798e68c6fa7e2ddf0b5f167d76f2b0ae1a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004187", "prompt": "Calculate: 4122 / 20894 * (-4390 + (-6150))", "solution_steps": ["Divide: 4122 / 20894 = 2061/10447", "Add: -4390 + (-6150) = -10540", "Multiply: (2061/10447) * (-10540) = -700740/337"], "final_answer": "-700740/337", "answer_type": "rational", "kind": "expression", "math_text": "4122 / 20894 * (-4390 + (-6150))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4122, \"b\": 20894, \"c\": -4390, \"d\": -6150}", "seed": "12584299229726129692", "semantic_fingerprint": "sha256:a0c29eb5c9fa8c71cd87e5c616f7d11c06c41da95e0cb5711ee8ae749b341eb9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004188", "prompt": "What value of x satisfies x - 5852 = 39x?", "solution_steps": ["Subtract 39x from both sides: -38x - 5852 = 0", "Add 5852 to both sides: -38x = 5852", "Divide both sides by -38: x = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5852 = 39x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": -5852, \"x\": -154}", "seed": "12687870868837832673", "semantic_fingerprint": "sha256:66a3e8ba347f0a7366aa8369012cadcb94540abfb06360da6c988c1401e8950b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004189", "prompt": "Compute: -3541 - (3776 - (-9862))", "solution_steps": ["Subtract: 3776 - (-9862) = 13638", "Subtract: -3541 - 13638 = -17179"], "final_answer": "-17179", "answer_type": "integer", "kind": "expression", "math_text": "-3541 - (3776 - (-9862))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3541, \"b\": 3776, \"c\": -9862}", "seed": "1159480387029203468", "semantic_fingerprint": "sha256:ba2504b0661085fe6d89c079ef245860c34bbdec067f47e4fd00078432a80918", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004190", "prompt": "Compute: -72561 / (5352 - (-28745))", "solution_steps": ["Subtract: 5352 - (-28745) = 34097", "Divide: -72561 / 34097 = -72561/34097"], "final_answer": "-72561/34097", "answer_type": "rational", "kind": "expression", "math_text": "-72561 / (5352 - (-28745))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72561, \"b\": 5352, \"c\": -28745}", "seed": "7568211745816200700", "semantic_fingerprint": "sha256:5f7b305ab2601e8e107972a264a0af060ef81e08bfec397c2e0b30640e9fd2da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004191", "prompt": "Find x: 38(x - 8704) + 7276 = x + 3409", "solution_steps": ["Expand: 38x - 330752 + 7276 = x + 3409", "Combine constants: 38x - 323476 = x + 3409", "Subtract x from both sides: 37x - 323476 = 3409", "Add 323476 to both sides: 37x = 326885", "Divide both sides by 37: x = 326885/37"], "final_answer": "326885/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 8704) + 7276 = x + 3409", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 8704, \"c\": 7276, \"d\": 3409}", "seed": "6077002379214246799", "semantic_fingerprint": "sha256:7da6de16ab989a270d581a4e341b77f74c2c9eba8963e0618f4103e10d161523", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004192", "prompt": "Calculate: (-3220 - (63308 + 1786)) / (-88509)", "solution_steps": ["Add: 63308 + 1786 = 65094", "Subtract: -3220 - 65094 = -68314", "Divide: -68314 / (-88509) = 68314/88509"], "final_answer": "68314/88509", "answer_type": "rational", "kind": "expression", "math_text": "(-3220 - (63308 + 1786)) / (-88509)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3220, \"b\": 63308, \"c\": 1786, \"d\": -88509}", "seed": "3996134817375867862", "semantic_fingerprint": "sha256:592ef2cb71595c1dcf0f0e8c6c652e16e73e63059398f1744ddf7530251c362b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004193", "prompt": "Solve the equation 40(x + 3712) + 4163 = 15x - 9097 for x.", "solution_steps": ["Expand: 40x + 148480 + 4163 = 15x - 9097", "Combine constants: 40x + 152643 = 15x - 9097", "Subtract 15x from both sides: 25x + 152643 = -9097", "Subtract 152643 from both sides: 25x = -161740", "Divide both sides by 25: x = -32348/5"], "final_answer": "-32348/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 3712) + 4163 = 15x - 9097", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 3712, \"c\": 4163, \"d\": 15, \"e\": 9097}", "seed": "4801030382045175083", "semantic_fingerprint": "sha256:49e55332657d174279cac537cd05a5c4e56a4f63cb38801e779950ead9ed5858", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004194", "prompt": "Calculate: 36532 + (-3007 + 3098 - (-13505))", "solution_steps": ["Add: -3007 + 3098 = 91", "Subtract: 91 - (-13505) = 13596", "Add: 36532 + 13596 = 50128"], "final_answer": "50128", "answer_type": "integer", "kind": "expression", "math_text": "36532 + (-3007 + 3098 - (-13505))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36532, \"b\": -3007, \"c\": 3098, \"d\": -13505}", "seed": "11771598780410285442", "semantic_fingerprint": "sha256:8f24a0bda105627afa957d460227d54557459f8b1fd1fc093e60c70806cd2b0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004195", "prompt": "Calculate: -87404 - (-8152) + (19726 - 5081 / (-4243))", "solution_steps": ["Subtract: -87404 - (-8152) = -79252", "Divide: 5081 / (-4243) = -5081/4243", "Subtract: 19726 - (-5081/4243) = 83702499/4243", "Add: -79252 + 83702499/4243 = -252563737/4243"], "final_answer": "-252563737/4243", "answer_type": "rational", "kind": "expression", "math_text": "-87404 - (-8152) + (19726 - 5081 / (-4243))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -87404, \"b\": -8152, \"c\": 19726, \"d\": 5081, \"e\": -4243}", "seed": "17502564858539121408", "semantic_fingerprint": "sha256:84b3fe1eec8d64393d24516861d181bc1f127b8be8e232681525f6f7fe4a9661", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004196", "prompt": "Evaluate: 8136 + 6335 / 3582 * (6863 + 3471)", "solution_steps": ["Divide: 6335 / 3582 = 6335/3582", "Add: 6863 + 3471 = 10334", "Multiply: (6335/3582) * 10334 = 32732945/1791", "Add: 8136 + 32732945/1791 = 47304521/1791"], "final_answer": "47304521/1791", "answer_type": "rational", "kind": "expression", "math_text": "8136 + 6335 / 3582 * (6863 + 3471)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8136, \"b\": 6335, \"c\": 3582, \"d\": 6863, \"e\": 3471}", "seed": "9977132216444715386", "semantic_fingerprint": "sha256:456b40fabf539b3d2105be001e1e0f2da48a24c4619e3f64eea561d67efc87c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004197", "prompt": "What value of x satisfies 28(x + 1802) + 8419 = -18(x - 1600)?", "solution_steps": ["Expand: 28x + 50456 + 8419 = -18(x - 1600)", "Expand: 28x + 50456 + 8419 = -18x + 28800", "Combine constants: 28x + 58875 = -18x + 28800", "Add 18x to both sides: 46x + 58875 = 28800", "Subtract 58875 from both sides: 46x = -30075", "Divide both sides by 46: x = -30075/46"], "final_answer": "-30075/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 1802) + 8419 = -18(x - 1600)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1802, \"c\": 8419, \"d\": -18, \"e\": 1600}", "seed": "2537331543111770207", "semantic_fingerprint": "sha256:6a7ceea2c2a4ab04725ad936414dd4b293cd5faf3fe3b895b88f90bacf6fdb08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004198", "prompt": "Compute: 34343 / 39801 * (-4848) - (-7019)", "solution_steps": ["Divide: 34343 / 39801 = 34343/39801", "Multiply: (34343/39801) * (-4848) = -55498288/13267", "Subtract: -55498288/13267 - (-7019) = 37622785/13267"], "final_answer": "37622785/13267", "answer_type": "rational", "kind": "expression", "math_text": "34343 / 39801 * (-4848) - (-7019)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34343, \"b\": 39801, \"c\": -4848, \"d\": -7019}", "seed": "8252130329210925878", "semantic_fingerprint": "sha256:6fe2d0e1204eca6e80563b26ab8bdbefa697da25a750b954f81733178d5412b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004199", "prompt": "Compute: -53807 - (6300 - 4032) - (1656 + (39568 + (-68598)))", "solution_steps": ["Subtract: 6300 - 4032 = 2268", "Subtract: -53807 - 2268 = -56075", "Add: 39568 + (-68598) = -29030", "Add: 1656 + (-29030) = -27374", "Subtract: -56075 - (-27374) = -28701"], "final_answer": "-28701", "answer_type": "integer", "kind": "expression", "math_text": "-53807 - (6300 - 4032) - (1656 + (39568 + (-68598)))", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -53807, \"b\": 6300, \"c\": 4032, \"d\": 1656, \"e\": 39568, \"f\": -68598}", "seed": "13097980063752175020", "semantic_fingerprint": "sha256:d7d8ba531e117c1a31f2d62f8c35a7de2ccc482caa05d417621932fdad54b471", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004200", "prompt": "What is (77463 - 2481) / (-66911) + (-93838)?", "solution_steps": ["Subtract: 77463 - 2481 = 74982", "Divide: 74982 / (-66911) = -74982/66911", "Add: -74982/66911 + (-93838) = -6278869400/66911"], "final_answer": "-6278869400/66911", "answer_type": "rational", "kind": "expression", "math_text": "(77463 - 2481) / (-66911) + (-93838)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 77463, \"b\": 2481, \"c\": -66911, \"d\": -93838}", "seed": "9905155522890419468", "semantic_fingerprint": "sha256:379eee645078f9e058aa2bede5009ab46ae66a097dc078bf6f8b3b257ce1140b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004201", "prompt": "Evaluate: -6971 - (-8562) + 3718", "solution_steps": ["Subtract: -6971 - (-8562) = 1591", "Add: 1591 + 3718 = 5309"], "final_answer": "5309", "answer_type": "integer", "kind": "expression", "math_text": "-6971 - (-8562) + 3718", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6971, \"b\": -8562, \"c\": 3718}", "seed": "8893825164187262201", "semantic_fingerprint": "sha256:1c8bf86add9269428c3e7bb938072d0f6e9a50f0acf508e17987fc647ceed8e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004202", "prompt": "Compute: -9413 * ((7605 + (-64893)) / (-1422 + 90711))", "solution_steps": ["Add: 7605 + (-64893) = -57288", "Add: -1422 + 90711 = 89289", "Divide: -57288 / 89289 = -19096/29763", "Multiply: -9413 * (-19096/29763) = 179750648/29763"], "final_answer": "179750648/29763", "answer_type": "rational", "kind": "expression", "math_text": "-9413 * ((7605 + (-64893)) / (-1422 + 90711))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9413, \"b\": 7605, \"c\": -64893, \"d\": -1422, \"e\": 90711}", "seed": "10972186969259787634", "semantic_fingerprint": "sha256:6faeef742a3ccabd466eee011c8beed679ec2594dd254d24534ae8bd189e0430", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004203", "prompt": "Find x: x - 7885 = -7741", "solution_steps": ["Add 7885 to both sides: x = 144"], "final_answer": "144", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7885 = -7741", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7885, \"c\": -7741, \"x\": 144}", "seed": "17128325071172317642", "semantic_fingerprint": "sha256:9c0599635fbf7aabc5d403e59d82bd4dd90de256b3b0d9eadc2d70867de96240", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004204", "prompt": "What is -6830 + (-5011) + (7226 / 31642 + (-97620)) - (-4512)?", "solution_steps": ["Add: -6830 + (-5011) = -11841", "Divide: 7226 / 31642 = 3613/15821", "Add: 3613/15821 + (-97620) = -1544442407/15821", "Add: -11841 + (-1544442407/15821) = -1731778868/15821", "Subtract: -1731778868/15821 - (-4512) = -1660394516/15821"], "final_answer": "-1660394516/15821", "answer_type": "rational", "kind": "expression", "math_text": "-6830 + (-5011) + (7226 / 31642 + (-97620)) - (-4512)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) (+ (/ n n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6830, \"b\": -5011, \"c\": 7226, \"d\": 31642, \"e\": -97620, \"f\": -4512}", "seed": "11741491455191633181", "semantic_fingerprint": "sha256:be894255c5f3e9b04749a81def091f839dcc1b43061a102818c46a322def473c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004205", "prompt": "What is 88034 + 6436 - (-1350) * 44788 - (-13574) * (-4520)?", "solution_steps": ["Add: 88034 + 6436 = 94470", "Multiply: -1350 * 44788 = -60463800", "Subtract: 94470 - (-60463800) = 60558270", "Multiply: -13574 * (-4520) = 61354480", "Subtract: 60558270 - 61354480 = -796210"], "final_answer": "-796210", "answer_type": "integer", "kind": "expression", "math_text": "88034 + 6436 - (-1350) * 44788 - (-13574) * (-4520)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (* n n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 88034, \"b\": 6436, \"c\": -1350, \"d\": 44788, \"e\": -13574, \"f\": -4520}", "seed": "5586151094469288950", "semantic_fingerprint": "sha256:4257004414f8b201cb216596290238fea7546a0947e3e0655a890b8ba8be3c54", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004206", "prompt": "Find x: -25x - 3436 = 35(x - 1018) + 25714", "solution_steps": ["Expand: -25x - 3436 = 35x - 35630 + 25714", "Combine constants: -25x - 3436 = 35x - 9916", "Subtract 35x from both sides: -60x - 3436 = -9916", "Add 3436 to both sides: -60x = -6480", "Divide both sides by -60: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x - 3436 = 35(x - 1018) + 25714", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 3436, \"c\": 35, \"d\": 1018, \"f\": 25714, \"x\": 108}", "seed": "3991153114601728882", "semantic_fingerprint": "sha256:09366475d77cbff716216f6854bab4041afe4149abb1cccb0630e42adc31284d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004207", "prompt": "Compute: 10041 / (-69037) + (-9923)", "solution_steps": ["Divide: 10041 / (-69037) = -10041/69037", "Add: -10041/69037 + (-9923) = -685064192/69037"], "final_answer": "-685064192/69037", "answer_type": "rational", "kind": "expression", "math_text": "10041 / (-69037) + (-9923)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10041, \"b\": -69037, \"c\": -9923}", "seed": "1742749707216534790", "semantic_fingerprint": "sha256:407cd42b4c8eb0422bf3ce991f96ffaec8ec6aa35204dcd6c826fec1dc35304f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004208", "prompt": "Compute: -91776 + (-1061)", "solution_steps": ["Add: -91776 + (-1061) = -92837"], "final_answer": "-92837", "answer_type": "integer", "kind": "expression", "math_text": "-91776 + (-1061)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -91776, \"b\": -1061}", "seed": "2445519549006604188", "semantic_fingerprint": "sha256:096005e4cb6463350baf6827799aefa3ec110761163b9ee699b8416f0733c698", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004209", "prompt": "Calculate: 54835 - (56095 + (-33851) / (-34434))", "solution_steps": ["Divide: -33851 / (-34434) = 33851/34434", "Add: 56095 + 33851/34434 = 1931609081/34434", "Subtract: 54835 - 1931609081/34434 = -43420691/34434"], "final_answer": "-43420691/34434", "answer_type": "rational", "kind": "expression", "math_text": "54835 - (56095 + (-33851) / (-34434))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 54835, \"b\": 56095, \"c\": -33851, \"d\": -34434}", "seed": "13441014625920529590", "semantic_fingerprint": "sha256:bc6d304c951b31466e5d968b22aac1273ab81e41522c52c183a462673f550f55", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004210", "prompt": "What is -1834 + 28808 + (2463 / (-2304 - (-12039)) + (-9531))?", "solution_steps": ["Add: -1834 + 28808 = 26974", "Subtract: -2304 - (-12039) = 9735", "Divide: 2463 / 9735 = 821/3245", "Add: 821/3245 + (-9531) = -30927274/3245", "Add: 26974 + (-30927274/3245) = 56603356/3245"], "final_answer": "56603356/3245", "answer_type": "rational", "kind": "expression", "math_text": "-1834 + 28808 + (2463 / (-2304 - (-12039)) + (-9531))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ (/ n (- n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1834, \"b\": 28808, \"c\": 2463, \"d\": -2304, \"e\": -12039, \"f\": -9531}", "seed": "13405116342575866865", "semantic_fingerprint": "sha256:883fb6d4388c882b27d9638f2bb583ad7c9cca4170499a4d1bdfc85b983e6a94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004211", "prompt": "Calculate: 12166 * (2372 * 2994)", "solution_steps": ["Multiply: 2372 * 2994 = 7101768", "Multiply: 12166 * 7101768 = 86400109488"], "final_answer": "86400109488", "answer_type": "integer", "kind": "expression", "math_text": "12166 * (2372 * 2994)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12166, \"b\": 2372, \"c\": 2994}", "seed": "8062685838276106716", "semantic_fingerprint": "sha256:cb50f702a02f738dba625c0f25d27be2cb024e0c7c25d91bae224431bddfe70a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004212", "prompt": "Evaluate: -76631 - 5762", "solution_steps": ["Subtract: -76631 - 5762 = -82393"], "final_answer": "-82393", "answer_type": "integer", "kind": "expression", "math_text": "-76631 - 5762", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -76631, \"b\": 5762}", "seed": "17821428645741306552", "semantic_fingerprint": "sha256:9dfdf433953f8cf0baf02808d2099cb8b26e2e39102a9b4090da798e68b951ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004213", "prompt": "What is -3234 + 38560?", "solution_steps": ["Add: -3234 + 38560 = 35326"], "final_answer": "35326", "answer_type": "integer", "kind": "expression", "math_text": "-3234 + 38560", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3234, \"b\": 38560}", "seed": "8377274205344945352", "semantic_fingerprint": "sha256:93720b61aa5cc93e1113313624406fe0dc684884955fe464b58a083e978b8ace", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004214", "prompt": "Compute: 2174 * (-7844 * (-1486))", "solution_steps": ["Multiply: -7844 * (-1486) = 11656184", "Multiply: 2174 * 11656184 = 25340544016"], "final_answer": "25340544016", "answer_type": "integer", "kind": "expression", "math_text": "2174 * (-7844 * (-1486))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2174, \"b\": -7844, \"c\": -1486}", "seed": "9964358080542350319", "semantic_fingerprint": "sha256:1c7db746b62c75bb43070048c248279b054867472ff8eb8c963f35a442fe4dc1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004215", "prompt": "What value of x satisfies -19(x - 92970) + 21074 = 15(x + 2426) + 26475?", "solution_steps": ["Expand: -19x + 1766430 + 21074 = 15(x + 2426) + 26475", "Expand: -19x + 1766430 + 21074 = 15x + 36390 + 26475", "Combine constants: -19x + 1787504 = 15x + 36390 + 26475", "Combine constants: -19x + 1787504 = 15x + 62865", "Subtract 15x from both sides: -34x + 1787504 = 62865", "Subtract 1787504 from both sides: -34x = -1724639", "Divide both sides by -34: x = 1724639/34"], "final_answer": "1724639/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 92970) + 21074 = 15(x + 2426) + 26475", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 92970, \"c\": 21074, \"d\": 15, \"e\": 2426, \"f\": 26475}", "seed": "7264412564509056203", "semantic_fingerprint": "sha256:3cb34aef7c3ac57d08d4634f7344126e079e6539228269bf35dbd3ed4b38f22b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004216", "prompt": "Solve the equation 39(x - 4940) + 61351 = 21(x + 7610) + 94456 for x.", "solution_steps": ["Expand: 39x - 192660 + 61351 = 21(x + 7610) + 94456", "Expand: 39x - 192660 + 61351 = 21x + 159810 + 94456", "Combine constants: 39x - 131309 = 21x + 159810 + 94456", "Combine constants: 39x - 131309 = 21x + 254266", "Subtract 21x from both sides: 18x - 131309 = 254266", "Add 131309 to both sides: 18x = 385575", "Divide both sides by 18: x = 128525/6"], "final_answer": "128525/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 4940) + 61351 = 21(x + 7610) + 94456", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4940, \"c\": 61351, \"d\": 21, \"e\": 7610, \"f\": 94456}", "seed": "12965050318180789315", "semantic_fingerprint": "sha256:27e02e0ff3e4c3d709f7652ecba015952222b39ea9c8c26780ef3384b77a6ac1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004217", "prompt": "Compute: 2486 - (-4395) + (-5062 / 40513 + (-1563))", "solution_steps": ["Subtract: 2486 - (-4395) = 6881", "Divide: -5062 / 40513 = -5062/40513", "Add: -5062/40513 + (-1563) = -63326881/40513", "Add: 6881 + (-63326881/40513) = 215443072/40513"], "final_answer": "215443072/40513", "answer_type": "rational", "kind": "expression", "math_text": "2486 - (-4395) + (-5062 / 40513 + (-1563))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2486, \"b\": -4395, \"c\": -5062, \"d\": 40513, \"e\": -1563}", "seed": "13932501080569354160", "semantic_fingerprint": "sha256:5f0f20735aa55bf7a1f7a485717e0ee9d51a65118f39d1db3b71f139cb847d53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004218", "prompt": "Calculate: -2009 + (-3731) - 7510 * 97423", "solution_steps": ["Add: -2009 + (-3731) = -5740", "Multiply: 7510 * 97423 = 731646730", "Subtract: -5740 - 731646730 = -731652470"], "final_answer": "-731652470", "answer_type": "integer", "kind": "expression", "math_text": "-2009 + (-3731) - 7510 * 97423", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2009, \"b\": -3731, \"c\": 7510, \"d\": 97423}", "seed": "3345878887009912568", "semantic_fingerprint": "sha256:624270e20f5e19318496ab0a6b3fbf79174dec87eb3a46775294dbe2ebace3cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004219", "prompt": "Evaluate: -5953 / (-9641) * 69564", "solution_steps": ["Divide: -5953 / (-9641) = 5953/9641", "Multiply: (5953/9641) * 69564 = 13358532/311"], "final_answer": "13358532/311", "answer_type": "rational", "kind": "expression", "math_text": "-5953 / (-9641) * 69564", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5953, \"b\": -9641, \"c\": 69564}", "seed": "3084151239530907955", "semantic_fingerprint": "sha256:c4ac2ac7d843650fbbae2e6d7fabb90e142cff903d0bcdf0e3886151d6113982", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004220", "prompt": "Find x: 30(x - 3677) = x", "solution_steps": ["Expand: 30x - 110310 = x", "Subtract x from both sides: 29x - 110310 = 0", "Add 110310 to both sides: 29x = 110310", "Divide both sides by 29: x = 110310/29"], "final_answer": "110310/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 3677) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 3677}", "seed": "18039513428938280395", "semantic_fingerprint": "sha256:0f85f5f44c537e1f21fbd0f5d6c013bc5d2dbd1b2b11422e00adb473287eed13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004221", "prompt": "Solve for x: 34x + 1524 = -19(x - 2540) - 37355", "solution_steps": ["Expand: 34x + 1524 = -19x + 48260 - 37355", "Combine constants: 34x + 1524 = -19x + 10905", "Add 19x to both sides: 53x + 1524 = 10905", "Subtract 1524 from both sides: 53x = 9381", "Divide both sides by 53: x = 177"], "final_answer": "177", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x + 1524 = -19(x - 2540) - 37355", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 1524, \"c\": -19, \"d\": 2540, \"f\": -37355, \"x\": 177}", "seed": "11411003148966230488", "semantic_fingerprint": "sha256:792dafc285005c615fd6382417f85a8fdc54dc062453bde6df92fdd265ef6bab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004222", "prompt": "What is -4422 / 1246?", "solution_steps": ["Divide: -4422 / 1246 = -2211/623"], "final_answer": "-2211/623", "answer_type": "rational", "kind": "expression", "math_text": "-4422 / 1246", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4422, \"b\": 1246}", "seed": "12063249469032829922", "semantic_fingerprint": "sha256:5ffc4eb8337e02677fd0a2f1145a61e1d5462387119099550f356d2ef5f3b8a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004223", "prompt": "Calculate: -4785 - (8111 * (-2492) + (-3458) * (-7315))", "solution_steps": ["Multiply: 8111 * (-2492) = -20212612", "Multiply: -3458 * (-7315) = 25295270", "Add: -20212612 + 25295270 = 5082658", "Subtract: -4785 - 5082658 = -5087443"], "final_answer": "-5087443", "answer_type": "integer", "kind": "expression", "math_text": "-4785 - (8111 * (-2492) + (-3458) * (-7315))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4785, \"b\": 8111, \"c\": -2492, \"d\": -3458, \"e\": -7315}", "seed": "10283684143698864017", "semantic_fingerprint": "sha256:9a3104c17cb4ded4ff5afb822c3e2025dbcea90a9032346929e691fe1bef5390", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004224", "prompt": "Solve for x: 21(x - 35213) = 32(x + 3835)", "solution_steps": ["Expand: 21x - 739473 = 32(x + 3835)", "Expand: 21x - 739473 = 32x + 122720", "Subtract 32x from both sides: -11x - 739473 = 122720", "Add 739473 to both sides: -11x = 862193", "Divide both sides by -11: x = -862193/11"], "final_answer": "-862193/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 35213) = 32(x + 3835)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 35213, \"c\": 32, \"d\": 3835}", "seed": "18070552605478725116", "semantic_fingerprint": "sha256:ee601e0b551aa7806b1031079e6ee2100732efcb9b08e1a2cd6ba4ff81c96f92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004225", "prompt": "Compute: 2938 - 7529 / 50984", "solution_steps": ["Divide: 7529 / 50984 = 7529/50984", "Subtract: 2938 - 7529/50984 = 149783463/50984"], "final_answer": "149783463/50984", "answer_type": "rational", "kind": "expression", "math_text": "2938 - 7529 / 50984", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2938, \"b\": 7529, \"c\": 50984}", "seed": "17195546218040379146", "semantic_fingerprint": "sha256:5e2911aedaf2bd2aeedfb8fac3a2af5b63bff000de82999396261fbcddc98d06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004226", "prompt": "Compute: 41052 * (-36292) + 95974", "solution_steps": ["Multiply: 41052 * (-36292) = -1489859184", "Add: -1489859184 + 95974 = -1489763210"], "final_answer": "-1489763210", "answer_type": "integer", "kind": "expression", "math_text": "41052 * (-36292) + 95974", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41052, \"b\": -36292, \"c\": 95974}", "seed": "2014584072127804584", "semantic_fingerprint": "sha256:c57e659fb7d6e74a970796f45c4f8362a507321c4da31c512491043c14b42044", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004227", "prompt": "Calculate: 3136 + (-9378)", "solution_steps": ["Add: 3136 + (-9378) = -6242"], "final_answer": "-6242", "answer_type": "integer", "kind": "expression", "math_text": "3136 + (-9378)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3136, \"b\": -9378}", "seed": "2079570012353321264", "semantic_fingerprint": "sha256:d90e803cf1c226ea74901f1a2e7f197bd23498b107b940424957af85d4f8e82d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004228", "prompt": "Evaluate: 19572 + 6488", "solution_steps": ["Add: 19572 + 6488 = 26060"], "final_answer": "26060", "answer_type": "integer", "kind": "expression", "math_text": "19572 + 6488", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 19572, \"b\": 6488}", "seed": "13224241737631733947", "semantic_fingerprint": "sha256:a6cd4bc8d07f2599797a6d23b6c3f910c76e3366c0983fea3c9296707eb2149b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004229", "prompt": "Solve for x: 34x - 6933 = -5029", "solution_steps": ["Add 6933 to both sides: 34x = 1904", "Divide both sides by 34: x = 56"], "final_answer": "56", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x - 6933 = -5029", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 6933, \"d\": -5029, \"x\": 56}", "seed": "4622142342571029528", "semantic_fingerprint": "sha256:2ad6302725532d5e8934c998a9b3eaee8740991be3c2e7ace596aa52ffe05967", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004230", "prompt": "Solve the equation -25x = 35(x - 1514) for x.", "solution_steps": ["Expand: -25x = 35x - 52990", "Subtract 35x from both sides: -60x = -52990", "Divide both sides by -60: x = 5299/6"], "final_answer": "5299/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25x = 35(x - 1514)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 35, \"c\": 1514}", "seed": "4534149158839209352", "semantic_fingerprint": "sha256:6501b75372d95bdb7670fe17682b99a42cc9bf65e1d6275692e77828e2de200d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004231", "prompt": "Calculate: -98510 - (-8498 - 63491) / (-5727) + (3480 + (-40366))", "solution_steps": ["Subtract: -8498 - 63491 = -71989", "Divide: -71989 / (-5727) = 71989/5727", "Subtract: -98510 - 71989/5727 = -564238759/5727", "Add: 3480 + (-40366) = -36886", "Add: -564238759/5727 + (-36886) = -775484881/5727"], "final_answer": "-775484881/5727", "answer_type": "rational", "kind": "expression", "math_text": "-98510 - (-8498 - 63491) / (-5727) + (3480 + (-40366))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -98510, \"b\": -8498, \"c\": 63491, \"d\": -5727, \"e\": 3480, \"f\": -40366}", "seed": "4269849231616759554", "semantic_fingerprint": "sha256:7a61de2d0d66783dd238b8a9f88280d3e05000bf3c6fe6a5fccef90d8624b7a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004232", "prompt": "Compute: 6499 + 48722 - (-67649)", "solution_steps": ["Add: 6499 + 48722 = 55221", "Subtract: 55221 - (-67649) = 122870"], "final_answer": "122870", "answer_type": "integer", "kind": "expression", "math_text": "6499 + 48722 - (-67649)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6499, \"b\": 48722, \"c\": -67649}", "seed": "597702570205882027", "semantic_fingerprint": "sha256:19631bc9e02f6d528cbae93076ae644f8f1e2cdac86631368dc63420aece665e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004233", "prompt": "Calculate: 65540 * 1156 - (-6983) * (-1728)", "solution_steps": ["Multiply: 65540 * 1156 = 75764240", "Multiply: -6983 * (-1728) = 12066624", "Subtract: 75764240 - 12066624 = 63697616"], "final_answer": "63697616", "answer_type": "integer", "kind": "expression", "math_text": "65540 * 1156 - (-6983) * (-1728)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 65540, \"b\": 1156, \"c\": -6983, \"d\": -1728}", "seed": "13577520539874694575", "semantic_fingerprint": "sha256:53e3b9a6ac341b06d09943b72c54ec4c9dcca89f375e13e03469c19325b20e33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004234", "prompt": "Calculate: 7060 + 53176 / 1165", "solution_steps": ["Divide: 53176 / 1165 = 53176/1165", "Add: 7060 + 53176/1165 = 8278076/1165"], "final_answer": "8278076/1165", "answer_type": "rational", "kind": "expression", "math_text": "7060 + 53176 / 1165", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7060, \"b\": 53176, \"c\": 1165}", "seed": "13331783976990437715", "semantic_fingerprint": "sha256:b82a6c141d6ccbb2ace4e6c43cbb8806d3cf0fec4c29d937c15f1f9ca790206d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004235", "prompt": "Evaluate: (-53493 - (-20287)) / (-4440)", "solution_steps": ["Subtract: -53493 - (-20287) = -33206", "Divide: -33206 / (-4440) = 16603/2220"], "final_answer": "16603/2220", "answer_type": "rational", "kind": "expression", "math_text": "(-53493 - (-20287)) / (-4440)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53493, \"b\": -20287, \"c\": -4440}", "seed": "9264161826280117779", "semantic_fingerprint": "sha256:8c53ef84f3e334640a2cb7b8d1cb63213a04f7f5dc73f15a1e98b4891d586f19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004236", "prompt": "Evaluate: (29928 + 83359) / 9471", "solution_steps": ["Add: 29928 + 83359 = 113287", "Divide: 113287 / 9471 = 113287/9471"], "final_answer": "113287/9471", "answer_type": "rational", "kind": "expression", "math_text": "(29928 + 83359) / 9471", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29928, \"b\": 83359, \"c\": 9471}", "seed": "541403250806788693", "semantic_fingerprint": "sha256:c50a899e777f33a47a6d97dcc1424b7c05c556fa2b4503bc86b0e41d9330bd02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004237", "prompt": "Compute: (-2713 + (-9031)) * 9158", "solution_steps": ["Add: -2713 + (-9031) = -11744", "Multiply: -11744 * 9158 = -107551552"], "final_answer": "-107551552", "answer_type": "integer", "kind": "expression", "math_text": "(-2713 + (-9031)) * 9158", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2713, \"b\": -9031, \"c\": 9158}", "seed": "9339481352106824205", "semantic_fingerprint": "sha256:a679017db19c8d56a294893a9b90c7d94e5eec305f776a994417966db17166f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004238", "prompt": "What is 12788 / 7683?", "solution_steps": ["Divide: 12788 / 7683 = 12788/7683"], "final_answer": "12788/7683", "answer_type": "rational", "kind": "expression", "math_text": "12788 / 7683", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12788, \"b\": 7683}", "seed": "17402630292390053908", "semantic_fingerprint": "sha256:71b63e2dd0e872d606d4fb358b4955abd814bf83ae6d60ce969bc9207c2869c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004239", "prompt": "What value of x satisfies x + 24909 = 24(x + 3704) - 24211?", "solution_steps": ["Expand: x + 24909 = 24x + 88896 - 24211", "Combine constants: x + 24909 = 24x + 64685", "Subtract 24x from both sides: -23x + 24909 = 64685", "Subtract 24909 from both sides: -23x = 39776", "Divide both sides by -23: x = -39776/23"], "final_answer": "-39776/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 24909 = 24(x + 3704) - 24211", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24909, \"b\": 24, \"c\": 3704, \"d\": 24211}", "seed": "4703761292718665144", "semantic_fingerprint": "sha256:d254f220d43f1ff9f0944e842951529ec8e066d6bee229b946e9f558317c7d5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004240", "prompt": "Calculate: -87808 - 86655", "solution_steps": ["Subtract: -87808 - 86655 = -174463"], "final_answer": "-174463", "answer_type": "integer", "kind": "expression", "math_text": "-87808 - 86655", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -87808, \"b\": 86655}", "seed": "8073746340322817372", "semantic_fingerprint": "sha256:50bab48b46adfd75508bc187c450a5c0d783043f474ef1a749c222087d587a7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004241", "prompt": "Calculate: 2311 * (-8714)", "solution_steps": ["Multiply: 2311 * (-8714) = -20138054"], "final_answer": "-20138054", "answer_type": "integer", "kind": "expression", "math_text": "2311 * (-8714)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2311, \"b\": -8714}", "seed": "8439074533559224524", "semantic_fingerprint": "sha256:33305fb3f43ecb0a6e3ef7a9cae17745b3a94a5722d363dc609b310ce3553146", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004242", "prompt": "Calculate: -7261 - (8979 + 85607 + 27206) / (-8954)", "solution_steps": ["Add: 8979 + 85607 = 94586", "Add: 94586 + 27206 = 121792", "Divide: 121792 / (-8954) = -5536/407", "Subtract: -7261 - (-5536/407) = -2949691/407"], "final_answer": "-2949691/407", "answer_type": "rational", "kind": "expression", "math_text": "-7261 - (8979 + 85607 + 27206) / (-8954)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7261, \"b\": 8979, \"c\": 85607, \"d\": 27206, \"e\": -8954}", "seed": "16599041887077443404", "semantic_fingerprint": "sha256:f00cad0b68b77f07d507d75dcc02c309bbb8f5eeb4d1fad3e29636c3a2045642", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004243", "prompt": "Calculate: (2143 + 8801) * (-66840) / 4209", "solution_steps": ["Add: 2143 + 8801 = 10944", "Multiply: 10944 * (-66840) = -731496960", "Divide: -731496960 / 4209 = -243832320/1403"], "final_answer": "-243832320/1403", "answer_type": "rational", "kind": "expression", "math_text": "(2143 + 8801) * (-66840) / 4209", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2143, \"b\": 8801, \"c\": -66840, \"d\": 4209}", "seed": "4104570332839550883", "semantic_fingerprint": "sha256:572658bac2478808ee1016bc2b8ae82a3f6629f2cb89534971ea1864b1a19df2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004244", "prompt": "Evaluate: 8984 + (-53382 - 4903) / (4699 / 8551)", "solution_steps": ["Subtract: -53382 - 4903 = -58285", "Divide: 4699 / 8551 = 4699/8551", "Divide: -58285 / (4699/8551) = -498395035/4699", "Add: 8984 + (-498395035/4699) = -456179219/4699"], "final_answer": "-456179219/4699", "answer_type": "rational", "kind": "expression", "math_text": "8984 + (-53382 - 4903) / (4699 / 8551)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8984, \"b\": -53382, \"c\": 4903, \"d\": 4699, \"e\": 8551}", "seed": "956206045504128883", "semantic_fingerprint": "sha256:6f2d7fc9e3a0b3f0758b49ede53b8eb73cdb7d3322e24998f114f9cc45e64b8b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004245", "prompt": "Calculate: -38790 * (-65032 - 7677)", "solution_steps": ["Subtract: -65032 - 7677 = -72709", "Multiply: -38790 * (-72709) = 2820382110"], "final_answer": "2820382110", "answer_type": "integer", "kind": "expression", "math_text": "-38790 * (-65032 - 7677)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38790, \"b\": -65032, \"c\": 7677}", "seed": "17248765188965527150", "semantic_fingerprint": "sha256:bac95032f950739cd8bc50ecf925c3d6fb5fbbf0b0d013a229d6a0d536136474", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004246", "prompt": "Solve the equation 24x + 17895 = x + 21690 for x.", "solution_steps": ["Subtract x from both sides: 23x + 17895 = 21690", "Subtract 17895 from both sides: 23x = 3795", "Divide both sides by 23: x = 165"], "final_answer": "165", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 17895 = x + 21690", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 17895, \"d\": 21690, \"x\": 165}", "seed": "15350847841979802137", "semantic_fingerprint": "sha256:1c9292a16853223e7d799809bddeaf96a8cfb278491a1d4a85363bb5128adb8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004247", "prompt": "What value of x satisfies -22(x + 49783) + 1244 = 28(x + 59988)?", "solution_steps": ["Expand: -22x - 1095226 + 1244 = 28(x + 59988)", "Expand: -22x - 1095226 + 1244 = 28x + 1679664", "Combine constants: -22x - 1093982 = 28x + 1679664", "Subtract 28x from both sides: -50x - 1093982 = 1679664", "Add 1093982 to both sides: -50x = 2773646", "Divide both sides by -50: x = -1386823/25"], "final_answer": "-1386823/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22(x + 49783) + 1244 = 28(x + 59988)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 49783, \"c\": 1244, \"d\": 28, \"e\": 59988}", "seed": "15540905878215665268", "semantic_fingerprint": "sha256:98341cb1303f81213ba57036fea9783ee67fb8f8d1d9b4a6267ff5218073f4f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004248", "prompt": "Find x: -40(x + 1954) = x", "solution_steps": ["Expand: -40x - 78160 = x", "Subtract x from both sides: -41x - 78160 = 0", "Add 78160 to both sides: -41x = 78160", "Divide both sides by -41: x = -78160/41"], "final_answer": "-78160/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 1954) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 1954}", "seed": "12630401456065540182", "semantic_fingerprint": "sha256:af339e4b7b97155f8c0ec1ed06743cac21a1556751af8c49271f9c4383910016", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004249", "prompt": "What is 9206 / 6147 * (71303 + (-77258)) + (-8057)?", "solution_steps": ["Divide: 9206 / 6147 = 9206/6147", "Add: 71303 + (-77258) = -5955", "Multiply: (9206/6147) * (-5955) = -18273910/2049", "Add: -18273910/2049 + (-8057) = -34782703/2049"], "final_answer": "-34782703/2049", "answer_type": "rational", "kind": "expression", "math_text": "9206 / 6147 * (71303 + (-77258)) + (-8057)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9206, \"b\": 6147, \"c\": 71303, \"d\": -77258, \"e\": -8057}", "seed": "10561663423304970809", "semantic_fingerprint": "sha256:490a939124ca949d39247f1b6c4a24093887ba42549d838abe0d00b16a40ba18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004250", "prompt": "What value of x satisfies 29x - 51376 = x?", "solution_steps": ["Subtract x from both sides: 28x - 51376 = 0", "Add 51376 to both sides: 28x = 51376", "Divide both sides by 28: x = 12844/7"], "final_answer": "12844/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x - 51376 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 51376}", "seed": "168185917116513439", "semantic_fingerprint": "sha256:b69a02f1f4691fb228eac27db81195cc7faefc02a526e5e04ccac3683eb68b06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004251", "prompt": "Find x: -20x + 6130 = 37x + 15820", "solution_steps": ["Subtract 37x from both sides: -57x + 6130 = 15820", "Subtract 6130 from both sides: -57x = 9690", "Divide both sides by -57: x = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x + 6130 = 37x + 15820", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 6130, \"c\": 37, \"e\": 15820, \"x\": -170}", "seed": "6007881816148483107", "semantic_fingerprint": "sha256:647e9743d077078e6f5a2c17c686494971d32f16112a2791ce8e0cfebadb5683", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004252", "prompt": "Calculate: -9142 / (-4145)", "solution_steps": ["Divide: -9142 / (-4145) = 9142/4145"], "final_answer": "9142/4145", "answer_type": "rational", "kind": "expression", "math_text": "-9142 / (-4145)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9142, \"b\": -4145}", "seed": "15789326230051613212", "semantic_fingerprint": "sha256:b41175e3fb18a77e3f18d059cd0ecca012979fc2c4965dded4ec48be71d6fed8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004253", "prompt": "Calculate: (1100 + 3626) * (87646 + (-6889))", "solution_steps": ["Add: 1100 + 3626 = 4726", "Add: 87646 + (-6889) = 80757", "Multiply: 4726 * 80757 = 381657582"], "final_answer": "381657582", "answer_type": "integer", "kind": "expression", "math_text": "(1100 + 3626) * (87646 + (-6889))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1100, \"b\": 3626, \"c\": 87646, \"d\": -6889}", "seed": "10780759928674062354", "semantic_fingerprint": "sha256:3f17abf33f1236901366db7e0854e25bae14cc9ef3d56608616be00e99839b19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004254", "prompt": "Compute: 75551 - 75642 - (94587 - 82009)", "solution_steps": ["Subtract: 75551 - 75642 = -91", "Subtract: 94587 - 82009 = 12578", "Subtract: -91 - 12578 = -12669"], "final_answer": "-12669", "answer_type": "integer", "kind": "expression", "math_text": "75551 - 75642 - (94587 - 82009)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 75551, \"b\": 75642, \"c\": 94587, \"d\": 82009}", "seed": "16005978914781240956", "semantic_fingerprint": "sha256:4db4b1970bfe0715cadbce72a4700d10b40729d1d95d0f0ea1601ca7158b3df1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004255", "prompt": "What is 77110 + 7451?", "solution_steps": ["Add: 77110 + 7451 = 84561"], "final_answer": "84561", "answer_type": "integer", "kind": "expression", "math_text": "77110 + 7451", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 77110, \"b\": 7451}", "seed": "10174830056220322729", "semantic_fingerprint": "sha256:d4177959015e145299272517b0f4c7e5eb3a44a88f59415de7a27968128439b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004256", "prompt": "What value of x satisfies 32(x - 67722) - 3982 = -15x + 6217?", "solution_steps": ["Expand: 32x - 2167104 - 3982 = -15x + 6217", "Combine constants: 32x - 2171086 = -15x + 6217", "Add 15x to both sides: 47x - 2171086 = 6217", "Add 2171086 to both sides: 47x = 2177303", "Divide both sides by 47: x = 2177303/47"], "final_answer": "2177303/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 67722) - 3982 = -15x + 6217", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 67722, \"c\": 3982, \"d\": -15, \"e\": 6217}", "seed": "16794162460833210389", "semantic_fingerprint": "sha256:7e8c68256d270417d71bbeeec1e213468141aa8bfffb8ac0521bd11367bffcd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004257", "prompt": "Solve the equation x + 55577 = 19(x + 6519) - 67078 for x.", "solution_steps": ["Expand: x + 55577 = 19x + 123861 - 67078", "Combine constants: x + 55577 = 19x + 56783", "Subtract 19x from both sides: -18x + 55577 = 56783", "Subtract 55577 from both sides: -18x = 1206", "Divide both sides by -18: x = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 55577 = 19(x + 6519) - 67078", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 55577, \"b\": 19, \"c\": 6519, \"e\": -67078, \"x\": -67}", "seed": "13959585908026371789", "semantic_fingerprint": "sha256:f572c912170dfc9d71b9872ab38c7896c8bf79041439317796588b1249a57d99", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004258", "prompt": "What value of x satisfies -35(x - 75915) - 94458 = 20x - 26850?", "solution_steps": ["Expand: -35x + 2657025 - 94458 = 20x - 26850", "Combine constants: -35x + 2562567 = 20x - 26850", "Subtract 20x from both sides: -55x + 2562567 = -26850", "Subtract 2562567 from both sides: -55x = -2589417", "Divide both sides by -55: x = 2589417/55"], "final_answer": "2589417/55", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 75915) - 94458 = 20x - 26850", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 75915, \"c\": 94458, \"d\": 20, \"e\": 26850}", "seed": "11251095131957008634", "semantic_fingerprint": "sha256:0380236ecec5f342d2953f929e1e869cf41a16c064831c69bfc106583a3f1b33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004259", "prompt": "Solve for x: x - 9260 = -9314", "solution_steps": ["Add 9260 to both sides: x = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9260 = -9314", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9260, \"c\": -9314, \"x\": -54}", "seed": "14300809501274835935", "semantic_fingerprint": "sha256:3d52b83ecf11d774c145fd835a197fc7dcaf2a459e6f09dc4221c37ae91abea3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004260", "prompt": "Solve for x: -19x - 9607 = 28(x + 9934) - 8691", "solution_steps": ["Expand: -19x - 9607 = 28x + 278152 - 8691", "Combine constants: -19x - 9607 = 28x + 269461", "Subtract 28x from both sides: -47x - 9607 = 269461", "Add 9607 to both sides: -47x = 279068", "Divide both sides by -47: x = -279068/47"], "final_answer": "-279068/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x - 9607 = 28(x + 9934) - 8691", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 9607, \"c\": 28, \"d\": 9934, \"e\": 8691}", "seed": "9876550591140187898", "semantic_fingerprint": "sha256:8ff217de87e9034bcf62815d078982db56d24ab69d90e2c2209c2c634b02435f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004261", "prompt": "Solve the equation -24(x - 17501) = 16(x + 1317) for x.", "solution_steps": ["Expand: -24x + 420024 = 16(x + 1317)", "Expand: -24x + 420024 = 16x + 21072", "Subtract 16x from both sides: -40x + 420024 = 21072", "Subtract 420024 from both sides: -40x = -398952", "Divide both sides by -40: x = 49869/5"], "final_answer": "49869/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x - 17501) = 16(x + 1317)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 17501, \"c\": 16, \"d\": 1317}", "seed": "1557725542403212847", "semantic_fingerprint": "sha256:4d1e749bd6769d21447f7e3d4528648dd0e61c26067963a06ea949d4b5b6a98c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004262", "prompt": "Evaluate: 6516 + (-5379)", "solution_steps": ["Add: 6516 + (-5379) = 1137"], "final_answer": "1137", "answer_type": "integer", "kind": "expression", "math_text": "6516 + (-5379)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6516, \"b\": -5379}", "seed": "16153966085373842597", "semantic_fingerprint": "sha256:48734de32de4dbca3761d5e5103dfdc826beb0c873f325e76c75cdcc352bcef5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004263", "prompt": "Solve for x: x = 14(x - 4845) + 68415", "solution_steps": ["Expand: x = 14x - 67830 + 68415", "Combine constants: x = 14x + 585", "Subtract 14x from both sides: -13x = 585", "Divide both sides by -13: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 14(x - 4845) + 68415", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4845, \"d\": 68415, \"x\": -45}", "seed": "2766527888295354528", "semantic_fingerprint": "sha256:5b2ba15ea86e9421afe86735a267da569778d8a0effa4c3908d089cded5a095a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004264", "prompt": "Evaluate: 85643 * (-7828 + (-26322))", "solution_steps": ["Add: -7828 + (-26322) = -34150", "Multiply: 85643 * (-34150) = -2924708450"], "final_answer": "-2924708450", "answer_type": "integer", "kind": "expression", "math_text": "85643 * (-7828 + (-26322))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85643, \"b\": -7828, \"c\": -26322}", "seed": "10824423683843850743", "semantic_fingerprint": "sha256:991e7c3e99abea0bb154bffad6330b2ba983057cb6516c6bd6ce6be32550ba48", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004265", "prompt": "Calculate: -5113 - (-5439 - (-18557)) + (91098 - 36095)", "solution_steps": ["Subtract: -5439 - (-18557) = 13118", "Subtract: -5113 - 13118 = -18231", "Subtract: 91098 - 36095 = 55003", "Add: -18231 + 55003 = 36772"], "final_answer": "36772", "answer_type": "integer", "kind": "expression", "math_text": "-5113 - (-5439 - (-18557)) + (91098 - 36095)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5113, \"b\": -5439, \"c\": -18557, \"d\": 91098, \"e\": 36095}", "seed": "12092792980811948511", "semantic_fingerprint": "sha256:1184d55a9927b49d8d1cc4af574457a1d8a9d3699a6c655d206b4067d8936d58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004266", "prompt": "What is 50008 - 3705 + (-5565) + (-9488)?", "solution_steps": ["Subtract: 50008 - 3705 = 46303", "Add: 46303 + (-5565) = 40738", "Add: 40738 + (-9488) = 31250"], "final_answer": "31250", "answer_type": "integer", "kind": "expression", "math_text": "50008 - 3705 + (-5565) + (-9488)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 50008, \"b\": 3705, \"c\": -5565, \"d\": -9488}", "seed": "11972648126112101881", "semantic_fingerprint": "sha256:54ca7ba7f7841c9dc22e95b57434c8d5130630666dee29b207e1838fb76a8031", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004267", "prompt": "Find x: x = 36x + 9183", "solution_steps": ["Subtract 36x from both sides: -35x = 9183", "Divide both sides by -35: x = -9183/35"], "final_answer": "-9183/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 36x + 9183", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 9183}", "seed": "17080523349552530767", "semantic_fingerprint": "sha256:ee3be808e0164c0ea6b4bc3936c4dfbfa31d94a7753b4908567fe55b188145e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004268", "prompt": "Evaluate: 57418 - (-61164) - 2945 - (-41941) - (-58484)", "solution_steps": ["Subtract: 57418 - (-61164) = 118582", "Subtract: 118582 - 2945 = 115637", "Subtract: 115637 - (-41941) = 157578", "Subtract: 157578 - (-58484) = 216062"], "final_answer": "216062", "answer_type": "integer", "kind": "expression", "math_text": "57418 - (-61164) - 2945 - (-41941) - (-58484)", "variable": null, "family": "expression_4op", "shape": "(- (- (- (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 57418, \"b\": -61164, \"c\": 2945, \"d\": -41941, \"e\": -58484}", "seed": "17252975804363616664", "semantic_fingerprint": "sha256:e2e61f4ad4267f24c442c51bfcdf9cf43a60d00ffbc5145ea20cc1430b1ddfde", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004269", "prompt": "Solve for x: 32x = -28x - 7740", "solution_steps": ["Add 28x to both sides: 60x = -7740", "Divide both sides by 60: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = -28x - 7740", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": -28, \"d\": -7740, \"x\": -129}", "seed": "10661987259269914518", "semantic_fingerprint": "sha256:e98bf36870db7e03965fb1b047c214c8fc22602f148428e213ce7f356c77c475", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004270", "prompt": "Evaluate: (7551 + 5103) / 4848", "solution_steps": ["Add: 7551 + 5103 = 12654", "Divide: 12654 / 4848 = 2109/808"], "final_answer": "2109/808", "answer_type": "rational", "kind": "expression", "math_text": "(7551 + 5103) / 4848", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7551, \"b\": 5103, \"c\": 4848}", "seed": "11828001021320666104", "semantic_fingerprint": "sha256:557c0b23addc401180634ea5eb3445a46e3fe11442c3779f1ea1727561816507", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004271", "prompt": "Evaluate: 72242 * (1605 + (-3308))", "solution_steps": ["Add: 1605 + (-3308) = -1703", "Multiply: 72242 * (-1703) = -123028126"], "final_answer": "-123028126", "answer_type": "integer", "kind": "expression", "math_text": "72242 * (1605 + (-3308))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 72242, \"b\": 1605, \"c\": -3308}", "seed": "10362665303325792230", "semantic_fingerprint": "sha256:8a40f227a464dcd6f85401f1780d5b221f67ef37f73435aedb61c862e7f8b849", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004272", "prompt": "Solve the equation 20(x + 1938) = -24(x - 7389) for x.", "solution_steps": ["Expand: 20x + 38760 = -24(x - 7389)", "Expand: 20x + 38760 = -24x + 177336", "Add 24x to both sides: 44x + 38760 = 177336", "Subtract 38760 from both sides: 44x = 138576", "Divide both sides by 44: x = 34644/11"], "final_answer": "34644/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 1938) = -24(x - 7389)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1938, \"c\": -24, \"d\": 7389}", "seed": "10861903710779588361", "semantic_fingerprint": "sha256:90c62f5bf315a2746f1bbdcb7dd1b5cd7e04aef68a1ca618c5ca6a4967866d92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004273", "prompt": "Compute: (42065 - 5358 + (-73404) * (-5592)) / (-19247)", "solution_steps": ["Subtract: 42065 - 5358 = 36707", "Multiply: -73404 * (-5592) = 410475168", "Add: 36707 + 410475168 = 410511875", "Divide: 410511875 / (-19247) = -410511875/19247"], "final_answer": "-410511875/19247", "answer_type": "rational", "kind": "expression", "math_text": "(42065 - 5358 + (-73404) * (-5592)) / (-19247)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42065, \"b\": 5358, \"c\": -73404, \"d\": -5592, \"e\": -19247}", "seed": "10013796608459914166", "semantic_fingerprint": "sha256:0a9afe6b74ce79c37157717c18ff9664786152ef79dffd35eb64bca1fb792dcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004274", "prompt": "Solve for x: -24(x - 4617) - 91912 = -32x - 2800", "solution_steps": ["Expand: -24x + 110808 - 91912 = -32x - 2800", "Combine constants: -24x + 18896 = -32x - 2800", "Add 32x to both sides: 8x + 18896 = -2800", "Subtract 18896 from both sides: 8x = -21696", "Divide both sides by 8: x = -2712"], "final_answer": "-2712", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24(x - 4617) - 91912 = -32x - 2800", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 4617, \"c\": 91912, \"d\": -32, \"e\": 2800}", "seed": "14175667026274584569", "semantic_fingerprint": "sha256:212e4e56ceaa725c26461423e3bc6a99b9f0d9b858b516838744e546e380fb0f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004275", "prompt": "Evaluate: -77719 + 51914 / 66578", "solution_steps": ["Divide: 51914 / 66578 = 25957/33289", "Add: -77719 + 25957/33289 = -2587161834/33289"], "final_answer": "-2587161834/33289", "answer_type": "rational", "kind": "expression", "math_text": "-77719 + 51914 / 66578", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -77719, \"b\": 51914, \"c\": 66578}", "seed": "15661869866414011803", "semantic_fingerprint": "sha256:a8956b6a1a03dc109338b52d4076fb9de6d09c52da8cd29d0e3c31f176f7fefb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004276", "prompt": "Solve the equation 22(x - 7479) = -23(x - 57503) + 62415 for x.", "solution_steps": ["Expand: 22x - 164538 = -23(x - 57503) + 62415", "Expand: 22x - 164538 = -23x + 1322569 + 62415", "Combine constants: 22x - 164538 = -23x + 1384984", "Add 23x to both sides: 45x - 164538 = 1384984", "Add 164538 to both sides: 45x = 1549522", "Divide both sides by 45: x = 1549522/45"], "final_answer": "1549522/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 7479) = -23(x - 57503) + 62415", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 7479, \"c\": -23, \"d\": 57503, \"e\": 62415}", "seed": "16913255775874079437", "semantic_fingerprint": "sha256:b0cafe981abc03259a9d2ae943002db020d1553d41823774145c9e22e1668233", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004277", "prompt": "Calculate: 24914 + (-8316) * (-34323) - 78249 / (-2850 / 9820)", "solution_steps": ["Multiply: -8316 * (-34323) = 285430068", "Add: 24914 + 285430068 = 285454982", "Divide: -2850 / 9820 = -285/982", "Divide: 78249 / (-285/982) = -25613506/95", "Subtract: 285454982 - (-25613506/95) = 27143836796/95"], "final_answer": "27143836796/95", "answer_type": "rational", "kind": "expression", "math_text": "24914 + (-8316) * (-34323) - 78249 / (-2850 / 9820)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24914, \"b\": -8316, \"c\": -34323, \"d\": 78249, \"e\": -2850, \"f\": 9820}", "seed": "9936036730244930953", "semantic_fingerprint": "sha256:fc554532f92f4562747416101b2b09fbd5a65046ce9e1cfe337689fd1fe505ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004278", "prompt": "Calculate: (5331 + (-5137)) * (-7310)", "solution_steps": ["Add: 5331 + (-5137) = 194", "Multiply: 194 * (-7310) = -1418140"], "final_answer": "-1418140", "answer_type": "integer", "kind": "expression", "math_text": "(5331 + (-5137)) * (-7310)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5331, \"b\": -5137, \"c\": -7310}", "seed": "7070062291358409748", "semantic_fingerprint": "sha256:e9e5ce6bb26a6f8036fedd0470f67a85ebadc014ec9305a8a367ccc13fbc033c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004279", "prompt": "Evaluate: (-5488 - (-2458) / 1087 * (6618 + 6065)) * 3978", "solution_steps": ["Divide: -2458 / 1087 = -2458/1087", "Add: 6618 + 6065 = 12683", "Multiply: (-2458/1087) * 12683 = -31174814/1087", "Subtract: -5488 - (-31174814/1087) = 25209358/1087", "Multiply: (25209358/1087) * 3978 = 100282826124/1087"], "final_answer": "100282826124/1087", "answer_type": "rational", "kind": "expression", "math_text": "(-5488 - (-2458) / 1087 * (6618 + 6065)) * 3978", "variable": null, "family": "expression_5op", "shape": "(* (- n (* (/ n n) (+ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5488, \"b\": -2458, \"c\": 1087, \"d\": 6618, \"e\": 6065, \"f\": 3978}", "seed": "10988907000821005421", "semantic_fingerprint": "sha256:962b7214398950d3e3df151fad1cb4d5b1d5b5e8bd91bb227487bd18dd4c0927", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004280", "prompt": "Evaluate: (-30422 + (-7295)) * 5155 - (53878 + (-28924))", "solution_steps": ["Add: -30422 + (-7295) = -37717", "Multiply: -37717 * 5155 = -194431135", "Add: 53878 + (-28924) = 24954", "Subtract: -194431135 - 24954 = -194456089"], "final_answer": "-194456089", "answer_type": "integer", "kind": "expression", "math_text": "(-30422 + (-7295)) * 5155 - (53878 + (-28924))", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30422, \"b\": -7295, \"c\": 5155, \"d\": 53878, \"e\": -28924}", "seed": "1655987239449002269", "semantic_fingerprint": "sha256:d16e444afb81509919e9f3d5ead13077d55b54a6b77ffa1760b284eb814564d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004281", "prompt": "Evaluate: 94172 * (-1159 - (-37625)) + (-3129 - (-9830))", "solution_steps": ["Subtract: -1159 - (-37625) = 36466", "Multiply: 94172 * 36466 = 3434076152", "Subtract: -3129 - (-9830) = 6701", "Add: 3434076152 + 6701 = 3434082853"], "final_answer": "3434082853", "answer_type": "integer", "kind": "expression", "math_text": "94172 * (-1159 - (-37625)) + (-3129 - (-9830))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 94172, \"b\": -1159, \"c\": -37625, \"d\": -3129, \"e\": -9830}", "seed": "14401457596645328525", "semantic_fingerprint": "sha256:c86c8491cde26b77d8893df0c821ba164265a45982b5234be47de6c8a8cb894d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004282", "prompt": "Solve the equation -30(x - 4627) = 33(x + 65346) for x.", "solution_steps": ["Expand: -30x + 138810 = 33(x + 65346)", "Expand: -30x + 138810 = 33x + 2156418", "Subtract 33x from both sides: -63x + 138810 = 2156418", "Subtract 138810 from both sides: -63x = 2017608", "Divide both sides by -63: x = -672536/21"], "final_answer": "-672536/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x - 4627) = 33(x + 65346)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 4627, \"c\": 33, \"d\": 65346}", "seed": "7070778701380019525", "semantic_fingerprint": "sha256:0b9b07b02438d6ddc40b2f001f69b4bbd06d2fefc36dd97a3b3158768ab3b149", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004283", "prompt": "Calculate: -8858 + 5150 * 9092", "solution_steps": ["Multiply: 5150 * 9092 = 46823800", "Add: -8858 + 46823800 = 46814942"], "final_answer": "46814942", "answer_type": "integer", "kind": "expression", "math_text": "-8858 + 5150 * 9092", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8858, \"b\": 5150, \"c\": 9092}", "seed": "15782800149950945799", "semantic_fingerprint": "sha256:78253750e1da40f176655a72f0c5a3bc1c27af0548e81192215388b9df3e1cd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004284", "prompt": "Solve for x: -38(x + 6047) = x", "solution_steps": ["Expand: -38x - 229786 = x", "Subtract x from both sides: -39x - 229786 = 0", "Add 229786 to both sides: -39x = 229786", "Divide both sides by -39: x = -229786/39"], "final_answer": "-229786/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 6047) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 6047}", "seed": "16439010563919329980", "semantic_fingerprint": "sha256:62560b68241a497fe23a4f424a45dbc7eb0b291fdb691ad9fe92a0f3e103ed7e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004285", "prompt": "Compute: 7134 + 8036", "solution_steps": ["Add: 7134 + 8036 = 15170"], "final_answer": "15170", "answer_type": "integer", "kind": "expression", "math_text": "7134 + 8036", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7134, \"b\": 8036}", "seed": "2119401180374723897", "semantic_fingerprint": "sha256:7dc87e201a9c6888e4837e3a635d932d163cee3b45bf2346e5236405d3791549", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004286", "prompt": "What is 86736 + (-5097) + 8489?", "solution_steps": ["Add: 86736 + (-5097) = 81639", "Add: 81639 + 8489 = 90128"], "final_answer": "90128", "answer_type": "integer", "kind": "expression", "math_text": "86736 + (-5097) + 8489", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 86736, \"b\": -5097, \"c\": 8489}", "seed": "13490868121664007632", "semantic_fingerprint": "sha256:8fac65a69c0aed0d374fecad8714cecfb3e21975482f0e7fb0c5f0a4a89f9187", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004287", "prompt": "What value of x satisfies 26(x - 2058) = 22(x - 8060) + 2860?", "solution_steps": ["Expand: 26x - 53508 = 22(x - 8060) + 2860", "Expand: 26x - 53508 = 22x - 177320 + 2860", "Combine constants: 26x - 53508 = 22x - 174460", "Subtract 22x from both sides: 4x - 53508 = -174460", "Add 53508 to both sides: 4x = -120952", "Divide both sides by 4: x = -30238"], "final_answer": "-30238", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x - 2058) = 22(x - 8060) + 2860", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2058, \"c\": 22, \"d\": 8060, \"e\": 2860}", "seed": "2808874260936518045", "semantic_fingerprint": "sha256:695f5af4ddab024465342afd0bb3caa78990dfb28c0e872b00aa426ba34d2a45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004288", "prompt": "Evaluate: -74339 - 78111 - (7818 - (-33622) / 17470) - 10605", "solution_steps": ["Subtract: -74339 - 78111 = -152450", "Divide: -33622 / 17470 = -16811/8735", "Subtract: 7818 - (-16811/8735) = 68307041/8735", "Subtract: -152450 - 68307041/8735 = -1399957791/8735", "Subtract: -1399957791/8735 - 10605 = -1492592466/8735"], "final_answer": "-1492592466/8735", "answer_type": "rational", "kind": "expression", "math_text": "-74339 - 78111 - (7818 - (-33622) / 17470) - 10605", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (- n (/ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -74339, \"b\": 78111, \"c\": 7818, \"d\": -33622, \"e\": 17470, \"f\": 10605}", "seed": "5596945813367368476", "semantic_fingerprint": "sha256:4ef138d1ff0950f06d2f4c0bb36e1c91e1dcea73bc7e6c99a94539952c3d3071", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004289", "prompt": "What is 7128 + 5670 + (-12135) + (-1013)?", "solution_steps": ["Add: 7128 + 5670 = 12798", "Add: 12798 + (-12135) = 663", "Add: 663 + (-1013) = -350"], "final_answer": "-350", "answer_type": "integer", "kind": "expression", "math_text": "7128 + 5670 + (-12135) + (-1013)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7128, \"b\": 5670, \"c\": -12135, \"d\": -1013}", "seed": "10385703193095324102", "semantic_fingerprint": "sha256:d9993f0408fdae018af6d1c622114d08aaca1848c644e2991abab9cbd68c5a1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004290", "prompt": "Compute: -38654 * 3815 + (-5466) - (17441 - (-9609))", "solution_steps": ["Multiply: -38654 * 3815 = -147465010", "Add: -147465010 + (-5466) = -147470476", "Subtract: 17441 - (-9609) = 27050", "Subtract: -147470476 - 27050 = -147497526"], "final_answer": "-147497526", "answer_type": "integer", "kind": "expression", "math_text": "-38654 * 3815 + (-5466) - (17441 - (-9609))", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38654, \"b\": 3815, \"c\": -5466, \"d\": 17441, \"e\": -9609}", "seed": "17553285172878410514", "semantic_fingerprint": "sha256:cf0842c78976f6bb39efb0a112d2cda5d542dbf2343751e6925419ec1c3839cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004291", "prompt": "What value of x satisfies -14(x - 8052) - 14366 = 13x + 94339?", "solution_steps": ["Expand: -14x + 112728 - 14366 = 13x + 94339", "Combine constants: -14x + 98362 = 13x + 94339", "Subtract 13x from both sides: -27x + 98362 = 94339", "Subtract 98362 from both sides: -27x = -4023", "Divide both sides by -27: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14(x - 8052) - 14366 = 13x + 94339", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 8052, \"c\": 14366, \"d\": 13, \"f\": 94339, \"x\": 149}", "seed": "1116381450783432045", "semantic_fingerprint": "sha256:7b8738957e7b30eea84c2e4570291d408291fb733226dfe578baa5fa70670797", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004292", "prompt": "What is 1192 + (-7054) + (87894 - (-18266))?", "solution_steps": ["Add: 1192 + (-7054) = -5862", "Subtract: 87894 - (-18266) = 106160", "Add: -5862 + 106160 = 100298"], "final_answer": "100298", "answer_type": "integer", "kind": "expression", "math_text": "1192 + (-7054) + (87894 - (-18266))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1192, \"b\": -7054, \"c\": 87894, \"d\": -18266}", "seed": "1439360558745518376", "semantic_fingerprint": "sha256:4be3bd7dd413a8ad6b61c4153afcedfe62a4f4846c838755dc8146a315eb374a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004293", "prompt": "Solve the equation -31x + 7222 = -39x - 90444 for x.", "solution_steps": ["Add 39x to both sides: 8x + 7222 = -90444", "Subtract 7222 from both sides: 8x = -97666", "Divide both sides by 8: x = -48833/4"], "final_answer": "-48833/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x + 7222 = -39x - 90444", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 7222, \"c\": -39, \"d\": 90444}", "seed": "11688275115901389823", "semantic_fingerprint": "sha256:fed21b7316a7f9f5789843c7c19173cf66390e41274838507e677b938ebc1636", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004294", "prompt": "Calculate: 67719 * 1144 + (-7066)", "solution_steps": ["Multiply: 67719 * 1144 = 77470536", "Add: 77470536 + (-7066) = 77463470"], "final_answer": "77463470", "answer_type": "integer", "kind": "expression", "math_text": "67719 * 1144 + (-7066)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 67719, \"b\": 1144, \"c\": -7066}", "seed": "1341831888082358729", "semantic_fingerprint": "sha256:e49bc70a67b143ccc7bf2bfe6e606acf8faceea5792fffc8e2b216317422877f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004295", "prompt": "Evaluate: 8793 - (97418 - 37601) + (-6600 - 2345) * (-9903)", "solution_steps": ["Subtract: 97418 - 37601 = 59817", "Subtract: 8793 - 59817 = -51024", "Subtract: -6600 - 2345 = -8945", "Multiply: -8945 * (-9903) = 88582335", "Add: -51024 + 88582335 = 88531311"], "final_answer": "88531311", "answer_type": "integer", "kind": "expression", "math_text": "8793 - (97418 - 37601) + (-6600 - 2345) * (-9903)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (* (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8793, \"b\": 97418, \"c\": 37601, \"d\": -6600, \"e\": 2345, \"f\": -9903}", "seed": "13752075591719357232", "semantic_fingerprint": "sha256:4d3814f236c1852bd3b57f661f966eaecd5959b2494fe76fa68f5f47e1f806cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004296", "prompt": "Calculate: (3050 - 1455) / (3414 - (-8677))", "solution_steps": ["Subtract: 3050 - 1455 = 1595", "Subtract: 3414 - (-8677) = 12091", "Divide: 1595 / 12091 = 1595/12091"], "final_answer": "1595/12091", "answer_type": "rational", "kind": "expression", "math_text": "(3050 - 1455) / (3414 - (-8677))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3050, \"b\": 1455, \"c\": 3414, \"d\": -8677}", "seed": "8755419767306249890", "semantic_fingerprint": "sha256:947a76831695e025cd8015107a35d582450cf997cda8cb7934a5d4cafbc6b812", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004297", "prompt": "Evaluate: -78394 - 71973 - (-75882 + (-2985))", "solution_steps": ["Subtract: -78394 - 71973 = -150367", "Add: -75882 + (-2985) = -78867", "Subtract: -150367 - (-78867) = -71500"], "final_answer": "-71500", "answer_type": "integer", "kind": "expression", "math_text": "-78394 - 71973 - (-75882 + (-2985))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -78394, \"b\": 71973, \"c\": -75882, \"d\": -2985}", "seed": "16056404143729551672", "semantic_fingerprint": "sha256:48fba5055b193fc724df04e92b51ca2f7e0afc7e941bbc6d36305ffc576b75fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004298", "prompt": "Solve the equation x = 38(x + 9917) + 71268 for x.", "solution_steps": ["Expand: x = 38x + 376846 + 71268", "Combine constants: x = 38x + 448114", "Subtract 38x from both sides: -37x = 448114", "Divide both sides by -37: x = -448114/37"], "final_answer": "-448114/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 38(x + 9917) + 71268", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 9917, \"c\": 71268}", "seed": "10552349277022916462", "semantic_fingerprint": "sha256:d09d2dce2ff40a2b5d942bf12047c3263cb22156a29b2b40683e6608dcaca00f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004299", "prompt": "Solve the equation 16(x - 55776) - 8547 = 8386 for x.", "solution_steps": ["Expand: 16x - 892416 - 8547 = 8386", "Combine constants: 16x - 900963 = 8386", "Add 900963 to both sides: 16x = 909349", "Divide both sides by 16: x = 909349/16"], "final_answer": "909349/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 55776) - 8547 = 8386", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 55776, \"c\": 8547, \"d\": 8386}", "seed": "16071607726694639343", "semantic_fingerprint": "sha256:4c44138e18c0c81d1b09e26491ba7f1eda27faf01308e30188083d10ee1164a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004300", "prompt": "What is (-8542 - (-7679) + 9174) / (-41620)?", "solution_steps": ["Subtract: -8542 - (-7679) = -863", "Add: -863 + 9174 = 8311", "Divide: 8311 / (-41620) = -8311/41620"], "final_answer": "-8311/41620", "answer_type": "rational", "kind": "expression", "math_text": "(-8542 - (-7679) + 9174) / (-41620)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8542, \"b\": -7679, \"c\": 9174, \"d\": -41620}", "seed": "18142882828049146850", "semantic_fingerprint": "sha256:cf48af9176f1d3175eeaee1a01abca0736871d474528fd6f70eeb8dd1fa28c03", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004301", "prompt": "Solve the equation -20(x - 5866) = x for x.", "solution_steps": ["Expand: -20x + 117320 = x", "Subtract x from both sides: -21x + 117320 = 0", "Subtract 117320 from both sides: -21x = -117320", "Divide both sides by -21: x = 16760/3"], "final_answer": "16760/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x - 5866) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 5866}", "seed": "16651699508377722981", "semantic_fingerprint": "sha256:0d6bc99bc2d9df50fa4c78a3eea082f504ae4fa39d124035fcf09d2f7472eda6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004302", "prompt": "Solve the equation 27(x - 8468) = -13x for x.", "solution_steps": ["Expand: 27x - 228636 = -13x", "Add 13x to both sides: 40x - 228636 = 0", "Add 228636 to both sides: 40x = 228636", "Divide both sides by 40: x = 57159/10"], "final_answer": "57159/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 8468) = -13x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 8468, \"c\": -13}", "seed": "5942774395093866108", "semantic_fingerprint": "sha256:7cf60a6fb33334b1574af3def16b29ad8ab42c0b91317779963c92aafa4b12dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004303", "prompt": "What is (-3871 - (-4029)) * 2980 - (-1006 + (4545 - (-2118)))?", "solution_steps": ["Subtract: -3871 - (-4029) = 158", "Multiply: 158 * 2980 = 470840", "Subtract: 4545 - (-2118) = 6663", "Add: -1006 + 6663 = 5657", "Subtract: 470840 - 5657 = 465183"], "final_answer": "465183", "answer_type": "integer", "kind": "expression", "math_text": "(-3871 - (-4029)) * 2980 - (-1006 + (4545 - (-2118)))", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3871, \"b\": -4029, \"c\": 2980, \"d\": -1006, \"e\": 4545, \"f\": -2118}", "seed": "6041651250350289653", "semantic_fingerprint": "sha256:5a59689b3ba87e85614ebebc962bf166b54f07b8ca88b0859c9437bc5d374b22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004304", "prompt": "What is 1319 * 2105 - 50870?", "solution_steps": ["Multiply: 1319 * 2105 = 2776495", "Subtract: 2776495 - 50870 = 2725625"], "final_answer": "2725625", "answer_type": "integer", "kind": "expression", "math_text": "1319 * 2105 - 50870", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1319, \"b\": 2105, \"c\": 50870}", "seed": "2024357106416725765", "semantic_fingerprint": "sha256:eb3a488ccf17133adcde86fa5d855471082d4889304b3bd6ee125c30bd1b44fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004305", "prompt": "Calculate: 3597 - (7309 + 6762)", "solution_steps": ["Add: 7309 + 6762 = 14071", "Subtract: 3597 - 14071 = -10474"], "final_answer": "-10474", "answer_type": "integer", "kind": "expression", "math_text": "3597 - (7309 + 6762)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3597, \"b\": 7309, \"c\": 6762}", "seed": "17040266788509602837", "semantic_fingerprint": "sha256:5f9ef4ce2d35da1bb575c4ef7342a74f4ac5574a15673e426a1f06aa86e7598f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004306", "prompt": "Solve for x: -36x - 3330 = x + 2183", "solution_steps": ["Subtract x from both sides: -37x - 3330 = 2183", "Add 3330 to both sides: -37x = 5513", "Divide both sides by -37: x = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "linear_equation", "math_text": "-36x - 3330 = x + 2183", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 3330, \"d\": 2183, \"x\": -149}", "seed": "9794257682629412276", "semantic_fingerprint": "sha256:247b898c787d18bc49aee0c177ae7b446ae4cb38b8529372e660c566930911a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004307", "prompt": "What value of x satisfies 31x = -34x + 2340?", "solution_steps": ["Add 34x to both sides: 65x = 2340", "Divide both sides by 65: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x = -34x + 2340", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": -34, \"d\": 2340, \"x\": 36}", "seed": "5876291302038220078", "semantic_fingerprint": "sha256:174b09bec7fff3327c4f00a40b33544a443206cdb8eb38a5d609f24936f248c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004308", "prompt": "Find x: x = 35(x - 49133)", "solution_steps": ["Expand: x = 35x - 1719655", "Subtract 35x from both sides: -34x = -1719655", "Divide both sides by -34: x = 1719655/34"], "final_answer": "1719655/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 35(x - 49133)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 49133}", "seed": "2021866090670040395", "semantic_fingerprint": "sha256:611a563245dbea28f618d4a75798ac0da8a88e2fd68de8368f7cf9b9ff02f498", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004309", "prompt": "Compute: 8738 + 6977", "solution_steps": ["Add: 8738 + 6977 = 15715"], "final_answer": "15715", "answer_type": "integer", "kind": "expression", "math_text": "8738 + 6977", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8738, \"b\": 6977}", "seed": "11905052160429659509", "semantic_fingerprint": "sha256:1d83f5c5e2d472720353eefbef7a5a13df7fba56bd5e799ee8f935dff8d6f6b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004310", "prompt": "Compute: 93368 / (-3396 / (-4711))", "solution_steps": ["Divide: -3396 / (-4711) = 3396/4711", "Divide: 93368 / (3396/4711) = 109964162/849"], "final_answer": "109964162/849", "answer_type": "rational", "kind": "expression", "math_text": "93368 / (-3396 / (-4711))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93368, \"b\": -3396, \"c\": -4711}", "seed": "11698844649368620770", "semantic_fingerprint": "sha256:531d74ba7b70a7947e8231291ad6b3622d7d941138faf8260ecd69642aa8a5df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004311", "prompt": "Evaluate: 76829 + (-74173)", "solution_steps": ["Add: 76829 + (-74173) = 2656"], "final_answer": "2656", "answer_type": "integer", "kind": "expression", "math_text": "76829 + (-74173)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 76829, \"b\": -74173}", "seed": "10305519365369885872", "semantic_fingerprint": "sha256:97f9ad6f1cf29f5004770a7bedbabd01e56ad2d0cf121b9e160e4a4e58c229c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004312", "prompt": "What is 8927 * (-74346 - (13066 - (-8798)))?", "solution_steps": ["Subtract: 13066 - (-8798) = 21864", "Subtract: -74346 - 21864 = -96210", "Multiply: 8927 * (-96210) = -858866670"], "final_answer": "-858866670", "answer_type": "integer", "kind": "expression", "math_text": "8927 * (-74346 - (13066 - (-8798)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8927, \"b\": -74346, \"c\": 13066, \"d\": -8798}", "seed": "7130945065334571129", "semantic_fingerprint": "sha256:b7229ae529bf66a5de751aaef8d8b3808926394a256a8f0e5be6121b368e8652", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004313", "prompt": "What is -46251 / 2183 * (-14555)?", "solution_steps": ["Divide: -46251 / 2183 = -46251/2183", "Multiply: (-46251/2183) * (-14555) = 673183305/2183"], "final_answer": "673183305/2183", "answer_type": "rational", "kind": "expression", "math_text": "-46251 / 2183 * (-14555)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46251, \"b\": 2183, \"c\": -14555}", "seed": "5581827018829189130", "semantic_fingerprint": "sha256:ca334adbd450de2e62d83d73d8b2634f8683cd5b21a2a92d6c38fd78a4451447", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004314", "prompt": "What is -30905 + 2262 + 5811?", "solution_steps": ["Add: -30905 + 2262 = -28643", "Add: -28643 + 5811 = -22832"], "final_answer": "-22832", "answer_type": "integer", "kind": "expression", "math_text": "-30905 + 2262 + 5811", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30905, \"b\": 2262, \"c\": 5811}", "seed": "1624246205456215212", "semantic_fingerprint": "sha256:d3080a39c85f9e4815535e0ecb6a91bc82453b48d2fdb716d65064e52ffdca0a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004315", "prompt": "Calculate: -35056 / 6159", "solution_steps": ["Divide: -35056 / 6159 = -35056/6159"], "final_answer": "-35056/6159", "answer_type": "rational", "kind": "expression", "math_text": "-35056 / 6159", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35056, \"b\": 6159}", "seed": "16691495914851989709", "semantic_fingerprint": "sha256:e8878febdc735a86cad5a1e1cefd350d3f5f035643fdecdca6d002e562d5f26e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004316", "prompt": "What is (2490 + (-4099)) * (1316 / 5832)?", "solution_steps": ["Add: 2490 + (-4099) = -1609", "Divide: 1316 / 5832 = 329/1458", "Multiply: -1609 * (329/1458) = -529361/1458"], "final_answer": "-529361/1458", "answer_type": "rational", "kind": "expression", "math_text": "(2490 + (-4099)) * (1316 / 5832)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2490, \"b\": -4099, \"c\": 1316, \"d\": 5832}", "seed": "1577628629202127357", "semantic_fingerprint": "sha256:a6088b0e58d5f09b559e42560883586a31a2b07a7a1b24302557b8ce928573b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004317", "prompt": "Solve the equation 15(x - 8546) + 5686 = x for x.", "solution_steps": ["Expand: 15x - 128190 + 5686 = x", "Combine constants: 15x - 122504 = x", "Subtract x from both sides: 14x - 122504 = 0", "Add 122504 to both sides: 14x = 122504", "Divide both sides by 14: x = 61252/7"], "final_answer": "61252/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x - 8546) + 5686 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 8546, \"c\": 5686}", "seed": "16191696003020618197", "semantic_fingerprint": "sha256:9db62747787ecc0890b9a850634083f87556e9978cf8780b30afa045743aab13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004318", "prompt": "Compute: (9075 - (-76605)) / 4655 + 12736 / 7326", "solution_steps": ["Subtract: 9075 - (-76605) = 85680", "Divide: 85680 / 4655 = 2448/133", "Divide: 12736 / 7326 = 6368/3663", "Add: 2448/133 + 6368/3663 = 9813968/487179"], "final_answer": "9813968/487179", "answer_type": "rational", "kind": "expression", "math_text": "(9075 - (-76605)) / 4655 + 12736 / 7326", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9075, \"b\": -76605, \"c\": 4655, \"d\": 12736, \"e\": 7326}", "seed": "10800509241563194461", "semantic_fingerprint": "sha256:bbd0a43638a0db0ead9e0053d740eb4a6a0db3ead660c18e2bd6295d5743c2bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004319", "prompt": "Calculate: -9398 * (-5716)", "solution_steps": ["Multiply: -9398 * (-5716) = 53718968"], "final_answer": "53718968", "answer_type": "integer", "kind": "expression", "math_text": "-9398 * (-5716)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9398, \"b\": -5716}", "seed": "15879451830814621952", "semantic_fingerprint": "sha256:4cda4a19256958eb523b5a5255e6a346fc8d06adfa14abea2edb2f56110ec663", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004320", "prompt": "Compute: 63066 - 93879 + (-9713)", "solution_steps": ["Subtract: 63066 - 93879 = -30813", "Add: -30813 + (-9713) = -40526"], "final_answer": "-40526", "answer_type": "integer", "kind": "expression", "math_text": "63066 - 93879 + (-9713)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63066, \"b\": 93879, \"c\": -9713}", "seed": "13043397008370308024", "semantic_fingerprint": "sha256:b66ab5a682850bdb06104f41027d444034981ea72e3a929d4709e5349c23a891", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004321", "prompt": "Calculate: -21563 / (-4796) - (15951 + 3044)", "solution_steps": ["Divide: -21563 / (-4796) = 21563/4796", "Add: 15951 + 3044 = 18995", "Subtract: 21563/4796 - 18995 = -91078457/4796"], "final_answer": "-91078457/4796", "answer_type": "rational", "kind": "expression", "math_text": "-21563 / (-4796) - (15951 + 3044)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21563, \"b\": -4796, \"c\": 15951, \"d\": 3044}", "seed": "12212089611454272494", "semantic_fingerprint": "sha256:d12cc09001037c934cb8155a51dfb1acd932fb2c21fb8ec5655e9055bbf3b2a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004322", "prompt": "Calculate: 4827 + (-8711)", "solution_steps": ["Add: 4827 + (-8711) = -3884"], "final_answer": "-3884", "answer_type": "integer", "kind": "expression", "math_text": "4827 + (-8711)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4827, \"b\": -8711}", "seed": "13261697290405568980", "semantic_fingerprint": "sha256:948cd7832d2262938e18cc85478752b7cd3cc3a594ddf0e3ad19c89ea26bee05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004323", "prompt": "Solve for x: 24x - 9532 = x - 8175", "solution_steps": ["Subtract x from both sides: 23x - 9532 = -8175", "Add 9532 to both sides: 23x = 1357", "Divide both sides by 23: x = 59"], "final_answer": "59", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 9532 = x - 8175", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 9532, \"d\": -8175, \"x\": 59}", "seed": "14268473382979454260", "semantic_fingerprint": "sha256:2cad3a7a229c7ce0be21f036aeb3c6109bf6ec4fb2e8c17f059d6f8f00a10386", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004324", "prompt": "Calculate: -87283 - (31135 + (-8534))", "solution_steps": ["Add: 31135 + (-8534) = 22601", "Subtract: -87283 - 22601 = -109884"], "final_answer": "-109884", "answer_type": "integer", "kind": "expression", "math_text": "-87283 - (31135 + (-8534))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -87283, \"b\": 31135, \"c\": -8534}", "seed": "2583221926942076192", "semantic_fingerprint": "sha256:916d720e05e9eb4db3d92a73433d145c77d387c1b11862b6ed5eb337d11360ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004325", "prompt": "Calculate: 56493 * (-2194)", "solution_steps": ["Multiply: 56493 * (-2194) = -123945642"], "final_answer": "-123945642", "answer_type": "integer", "kind": "expression", "math_text": "56493 * (-2194)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 56493, \"b\": -2194}", "seed": "13261695087801280798", "semantic_fingerprint": "sha256:59917fdb7eecaccaae5a4efb48d52cb4c6adc772eeed735deaf5bb48c8360e4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004326", "prompt": "What is -2986 * 8426?", "solution_steps": ["Multiply: -2986 * 8426 = -25160036"], "final_answer": "-25160036", "answer_type": "integer", "kind": "expression", "math_text": "-2986 * 8426", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2986, \"b\": 8426}", "seed": "2453348383993410903", "semantic_fingerprint": "sha256:224710d98163a15e98845e427890949668697ae79cba35baaf3f3dc488016a42", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004327", "prompt": "Find x: 28x = x - 50706", "solution_steps": ["Subtract x from both sides: 27x = -50706", "Divide both sides by 27: x = -1878"], "final_answer": "-1878", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = x - 50706", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 50706}", "seed": "6560365456031717300", "semantic_fingerprint": "sha256:b801e82d50ca98b7227a9b7c3ff96cea07e3b88026c968a34eae52b13300fbef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004328", "prompt": "Find x: -31x + 7796 = -24(x + 1178)", "solution_steps": ["Expand: -31x + 7796 = -24x - 28272", "Add 24x to both sides: -7x + 7796 = -28272", "Subtract 7796 from both sides: -7x = -36068", "Divide both sides by -7: x = 36068/7"], "final_answer": "36068/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x + 7796 = -24(x + 1178)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 7796, \"c\": -24, \"d\": 1178}", "seed": "8009069829572835409", "semantic_fingerprint": "sha256:8f6da4fc572407ad504132eb0d57e0ff003893e9ffd232ba3f5f04177e2487c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004329", "prompt": "What is 1303 - 7212 * 8606?", "solution_steps": ["Multiply: 7212 * 8606 = 62066472", "Subtract: 1303 - 62066472 = -62065169"], "final_answer": "-62065169", "answer_type": "integer", "kind": "expression", "math_text": "1303 - 7212 * 8606", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1303, \"b\": 7212, \"c\": 8606}", "seed": "15992850545395577091", "semantic_fingerprint": "sha256:1eb974820c153fd7f101534f506cf65fa056e5ec9158e08d8a930652b50e1066", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004330", "prompt": "What value of x satisfies x = 38x?", "solution_steps": ["Subtract 38x from both sides: -37x = 0", "Divide both sides by -37: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 38x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38}", "seed": "1707724435958233362", "semantic_fingerprint": "sha256:3d6febba35e4c5ed6719808e9f0e46b8d90647fb307af8e0b29b2b59e53309fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004331", "prompt": "Compute: -7557 - (-7425 * 5376 - 3983 + (-5180))", "solution_steps": ["Multiply: -7425 * 5376 = -39916800", "Subtract: -39916800 - 3983 = -39920783", "Add: -39920783 + (-5180) = -39925963", "Subtract: -7557 - (-39925963) = 39918406"], "final_answer": "39918406", "answer_type": "integer", "kind": "expression", "math_text": "-7557 - (-7425 * 5376 - 3983 + (-5180))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7557, \"b\": -7425, \"c\": 5376, \"d\": 3983, \"e\": -5180}", "seed": "4690739628374379207", "semantic_fingerprint": "sha256:b3bc5b6baf6359d18527e4eae2d7b73ef2cd852e0e8f4d1e55e3a0375ead2a73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004332", "prompt": "What is -2384 - (-4107 - (-7960) + 3833)?", "solution_steps": ["Subtract: -4107 - (-7960) = 3853", "Add: 3853 + 3833 = 7686", "Subtract: -2384 - 7686 = -10070"], "final_answer": "-10070", "answer_type": "integer", "kind": "expression", "math_text": "-2384 - (-4107 - (-7960) + 3833)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2384, \"b\": -4107, \"c\": -7960, \"d\": 3833}", "seed": "3037002284240023263", "semantic_fingerprint": "sha256:90c1a9cfb0488e476b0aa25e275dca19fe6fedf6d2393ecded7725a30c128d7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004333", "prompt": "Calculate: -7758 + (5034 + 22576 * 6488) - 1456", "solution_steps": ["Multiply: 22576 * 6488 = 146473088", "Add: 5034 + 146473088 = 146478122", "Add: -7758 + 146478122 = 146470364", "Subtract: 146470364 - 1456 = 146468908"], "final_answer": "146468908", "answer_type": "integer", "kind": "expression", "math_text": "-7758 + (5034 + 22576 * 6488) - 1456", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n (* n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7758, \"b\": 5034, \"c\": 22576, \"d\": 6488, \"e\": 1456}", "seed": "11268388389183689165", "semantic_fingerprint": "sha256:c444661c77a3ea28735952c3dd0dc41a9f9ecf524ec4453e50ec0b0fa86fcc59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004334", "prompt": "Find x: 27(x - 1430) = 18(x - 3199) - 2931", "solution_steps": ["Expand: 27x - 38610 = 18(x - 3199) - 2931", "Expand: 27x - 38610 = 18x - 57582 - 2931", "Combine constants: 27x - 38610 = 18x - 60513", "Subtract 18x from both sides: 9x - 38610 = -60513", "Add 38610 to both sides: 9x = -21903", "Divide both sides by 9: x = -7301/3"], "final_answer": "-7301/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 1430) = 18(x - 3199) - 2931", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 1430, \"c\": 18, \"d\": 3199, \"e\": 2931}", "seed": "7583878026963948823", "semantic_fingerprint": "sha256:394b53f29d126a1e112491a151f3bcc14bd11628b94c63741739cde07e8a5997", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004335", "prompt": "Compute: 9339 - 3722", "solution_steps": ["Subtract: 9339 - 3722 = 5617"], "final_answer": "5617", "answer_type": "integer", "kind": "expression", "math_text": "9339 - 3722", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9339, \"b\": 3722}", "seed": "1990347907542703999", "semantic_fingerprint": "sha256:43c8cf8164a30d6dd9f75d9ec02866e4274401d9492e31ab889aea4a4cf2b05d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004336", "prompt": "Solve for x: x - 55941 = 32(x - 1660)", "solution_steps": ["Expand: x - 55941 = 32x - 53120", "Subtract 32x from both sides: -31x - 55941 = -53120", "Add 55941 to both sides: -31x = 2821", "Divide both sides by -31: x = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 55941 = 32(x - 1660)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1660, \"d\": -55941, \"x\": -91}", "seed": "9795261919374762143", "semantic_fingerprint": "sha256:cccf5a805fabdd117edc639a46557b6f5ecf1ce07b92ee811ce588a8e1e18d03", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004337", "prompt": "Evaluate: (9603 - (-4029)) / (-3514 / 4335)", "solution_steps": ["Subtract: 9603 - (-4029) = 13632", "Divide: -3514 / 4335 = -3514/4335", "Divide: 13632 / (-3514/4335) = -29547360/1757"], "final_answer": "-29547360/1757", "answer_type": "rational", "kind": "expression", "math_text": "(9603 - (-4029)) / (-3514 / 4335)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9603, \"b\": -4029, \"c\": -3514, \"d\": 4335}", "seed": "13942817224801392733", "semantic_fingerprint": "sha256:82f3b029cf8c1dd10d3c9dd343e601bac1f6f3dc19de7a0f179db1035637e4c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004338", "prompt": "Evaluate: 32294 + 9365", "solution_steps": ["Add: 32294 + 9365 = 41659"], "final_answer": "41659", "answer_type": "integer", "kind": "expression", "math_text": "32294 + 9365", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 32294, \"b\": 9365}", "seed": "1987405012539573795", "semantic_fingerprint": "sha256:1555462412094a937ed6062e72c8a5300563e6bfef55e90510e64730078e21fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004339", "prompt": "What is (-90688 * (-2938) - (-7271)) / (-9348)?", "solution_steps": ["Multiply: -90688 * (-2938) = 266441344", "Subtract: 266441344 - (-7271) = 266448615", "Divide: 266448615 / (-9348) = -88816205/3116"], "final_answer": "-88816205/3116", "answer_type": "rational", "kind": "expression", "math_text": "(-90688 * (-2938) - (-7271)) / (-9348)", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -90688, \"b\": -2938, \"c\": -7271, \"d\": -9348}", "seed": "16915339216213221188", "semantic_fingerprint": "sha256:00fa2bd70b3c1060e75694b85caf5b30087446ceefc33ce30c28720b9c048779", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004340", "prompt": "What value of x satisfies -38x + 9549 = x + 4177?", "solution_steps": ["Subtract x from both sides: -39x + 9549 = 4177", "Subtract 9549 from both sides: -39x = -5372", "Divide both sides by -39: x = 5372/39"], "final_answer": "5372/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38x + 9549 = x + 4177", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 9549, \"c\": 4177}", "seed": "1489190081623271905", "semantic_fingerprint": "sha256:c9889381dba85529e129e63a029d28dd9bb3dce173c3c6cb8fc53b66d12ce89d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004341", "prompt": "Evaluate: -3817 * 1990 * (-4880 + 3666)", "solution_steps": ["Multiply: -3817 * 1990 = -7595830", "Add: -4880 + 3666 = -1214", "Multiply: -7595830 * (-1214) = 9221337620"], "final_answer": "9221337620", "answer_type": "integer", "kind": "expression", "math_text": "-3817 * 1990 * (-4880 + 3666)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3817, \"b\": 1990, \"c\": -4880, \"d\": 3666}", "seed": "2177592351319767972", "semantic_fingerprint": "sha256:f5f7d938686b5395ea3e8a4361d18bb02c0e919f7cf1873b06479362f78a9da0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004342", "prompt": "Calculate: (9232 * (-17575) + 86924) / (6613 + 8209)", "solution_steps": ["Multiply: 9232 * (-17575) = -162252400", "Add: -162252400 + 86924 = -162165476", "Add: 6613 + 8209 = 14822", "Divide: -162165476 / 14822 = -81082738/7411"], "final_answer": "-81082738/7411", "answer_type": "rational", "kind": "expression", "math_text": "(9232 * (-17575) + 86924) / (6613 + 8209)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9232, \"b\": -17575, \"c\": 86924, \"d\": 6613, \"e\": 8209}", "seed": "12567928439174705906", "semantic_fingerprint": "sha256:ca929cace9b54890537a53b7a62655456af4d66614b5e69cdd41d2cb5cbcddd7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004343", "prompt": "What is -4512 / 7736 + 6589?", "solution_steps": ["Divide: -4512 / 7736 = -564/967", "Add: -564/967 + 6589 = 6370999/967"], "final_answer": "6370999/967", "answer_type": "rational", "kind": "expression", "math_text": "-4512 / 7736 + 6589", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4512, \"b\": 7736, \"c\": 6589}", "seed": "16805342585612444636", "semantic_fingerprint": "sha256:496d30d05a98045d0c4a3d81f62d7a44de988f067cae1ce1489e5224409dbb5b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004344", "prompt": "Compute: (8064 + 18844) / (-6499 - (8859 + 2343))", "solution_steps": ["Add: 8064 + 18844 = 26908", "Add: 8859 + 2343 = 11202", "Subtract: -6499 - 11202 = -17701", "Divide: 26908 / (-17701) = -868/571"], "final_answer": "-868/571", "answer_type": "rational", "kind": "expression", "math_text": "(8064 + 18844) / (-6499 - (8859 + 2343))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8064, \"b\": 18844, \"c\": -6499, \"d\": 8859, \"e\": 2343}", "seed": "16593329570753527100", "semantic_fingerprint": "sha256:6b9c9b6e3a5254a4379e3b25c02732f834d97eadbdf81140a33948025ef63014", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004345", "prompt": "Evaluate: -91088 - 21011 - 46145 / (-5044) - (-6015)", "solution_steps": ["Subtract: -91088 - 21011 = -112099", "Divide: 46145 / (-5044) = -46145/5044", "Subtract: -112099 - (-46145/5044) = -565381211/5044", "Subtract: -565381211/5044 - (-6015) = -535041551/5044"], "final_answer": "-535041551/5044", "answer_type": "rational", "kind": "expression", "math_text": "-91088 - 21011 - 46145 / (-5044) - (-6015)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -91088, \"b\": 21011, \"c\": 46145, \"d\": -5044, \"e\": -6015}", "seed": "7231892890996113228", "semantic_fingerprint": "sha256:558c1e00e6d3ea15aab5f12400f7ed2031a4b2063291b23daf816badc32020f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004346", "prompt": "Evaluate: (7385 - 7929 / (-17946)) * 9451", "solution_steps": ["Divide: 7929 / (-17946) = -881/1994", "Subtract: 7385 - (-881/1994) = 14726571/1994", "Multiply: (14726571/1994) * 9451 = 139180822521/1994"], "final_answer": "139180822521/1994", "answer_type": "rational", "kind": "expression", "math_text": "(7385 - 7929 / (-17946)) * 9451", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7385, \"b\": 7929, \"c\": -17946, \"d\": 9451}", "seed": "17580392386778665085", "semantic_fingerprint": "sha256:4431e10af3b5fe62f0cb371aa8d14aa66544791038a6cf3098561d2909c652c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004347", "prompt": "Solve for x: x = 25(x + 2988) - 76116", "solution_steps": ["Expand: x = 25x + 74700 - 76116", "Combine constants: x = 25x - 1416", "Subtract 25x from both sides: -24x = -1416", "Divide both sides by -24: x = 59"], "final_answer": "59", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 25(x + 2988) - 76116", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2988, \"d\": -76116, \"x\": 59}", "seed": "14021237421102115721", "semantic_fingerprint": "sha256:699b5aaf7bb189941c4a24c8a0c112adb1a7f029c747aa76e00627cecb91b039", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004348", "prompt": "What is 8642 * (-60882)?", "solution_steps": ["Multiply: 8642 * (-60882) = -526142244"], "final_answer": "-526142244", "answer_type": "integer", "kind": "expression", "math_text": "8642 * (-60882)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8642, \"b\": -60882}", "seed": "5641801350924717742", "semantic_fingerprint": "sha256:2339f2ec5a173d93844d1d3e44a1b8793d6da727d88ab56bb1dc6f163957c507", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004349", "prompt": "Solve for x: 40x - 4325 = -1005", "solution_steps": ["Add 4325 to both sides: 40x = 3320", "Divide both sides by 40: x = 83"], "final_answer": "83", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x - 4325 = -1005", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 4325, \"d\": -1005, \"x\": 83}", "seed": "14705956924780400685", "semantic_fingerprint": "sha256:b1a74269497228e867a9791a06177651de4af9ac45b5df119fda376085e77e95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004350", "prompt": "Find x: x - 5235 = -5325", "solution_steps": ["Add 5235 to both sides: x = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5235 = -5325", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5235, \"c\": -5325, \"x\": -90}", "seed": "15704302399657507857", "semantic_fingerprint": "sha256:cfde3c92853e8194dc9a7df541a65b08d9af63b16ab8267f8f9512b45ab24015", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004351", "prompt": "Compute: (-7676 * (9432 - 44813) - 6597) * (-2791)", "solution_steps": ["Subtract: 9432 - 44813 = -35381", "Multiply: -7676 * (-35381) = 271584556", "Subtract: 271584556 - 6597 = 271577959", "Multiply: 271577959 * (-2791) = -757974083569"], "final_answer": "-757974083569", "answer_type": "integer", "kind": "expression", "math_text": "(-7676 * (9432 - 44813) - 6597) * (-2791)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7676, \"b\": 9432, \"c\": 44813, \"d\": 6597, \"e\": -2791}", "seed": "446641617108465057", "semantic_fingerprint": "sha256:f65adc255aaa42c8b1ff21c98cbb370970cde48fb3ae6dcedb3d53b0b3df1e28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004352", "prompt": "What is 6559 - (-9322)?", "solution_steps": ["Subtract: 6559 - (-9322) = 15881"], "final_answer": "15881", "answer_type": "integer", "kind": "expression", "math_text": "6559 - (-9322)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6559, \"b\": -9322}", "seed": "12127994847849574666", "semantic_fingerprint": "sha256:d151b4306660099e33c6a9d15c11cf0405853e88687adaabef486062c10d9d7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004353", "prompt": "What is -4606 + (-4213) * 52914?", "solution_steps": ["Multiply: -4213 * 52914 = -222926682", "Add: -4606 + (-222926682) = -222931288"], "final_answer": "-222931288", "answer_type": "integer", "kind": "expression", "math_text": "-4606 + (-4213) * 52914", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4606, \"b\": -4213, \"c\": 52914}", "seed": "6115832933303333116", "semantic_fingerprint": "sha256:4c710533e8c15014e8b359c11b269c588cb00b75933a7bda2a467cf813ce66e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004354", "prompt": "Compute: -7137 / (-9044)", "solution_steps": ["Divide: -7137 / (-9044) = 7137/9044"], "final_answer": "7137/9044", "answer_type": "rational", "kind": "expression", "math_text": "-7137 / (-9044)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7137, \"b\": -9044}", "seed": "355336324148671002", "semantic_fingerprint": "sha256:903915c958e4c76795056868b35a66d10a452a0f799fad40272368689055381d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004355", "prompt": "Calculate: 1034 - (-1173 + (-6514))", "solution_steps": ["Add: -1173 + (-6514) = -7687", "Subtract: 1034 - (-7687) = 8721"], "final_answer": "8721", "answer_type": "integer", "kind": "expression", "math_text": "1034 - (-1173 + (-6514))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1034, \"b\": -1173, \"c\": -6514}", "seed": "11551739383007182427", "semantic_fingerprint": "sha256:70d139d042dd8fc3ac6c121e2299d0e229931ef59f8b160f3a55e74d564f8139", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004356", "prompt": "Calculate: -68783 * ((37316 - (-5176)) / (-8201 + (-83154)))", "solution_steps": ["Subtract: 37316 - (-5176) = 42492", "Add: -8201 + (-83154) = -91355", "Divide: 42492 / (-91355) = -42492/91355", "Multiply: -68783 * (-42492/91355) = 265702476/8305"], "final_answer": "265702476/8305", "answer_type": "rational", "kind": "expression", "math_text": "-68783 * ((37316 - (-5176)) / (-8201 + (-83154)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -68783, \"b\": 37316, \"c\": -5176, \"d\": -8201, \"e\": -83154}", "seed": "4048238851934359703", "semantic_fingerprint": "sha256:689996667651e19f2527251250d4c64131456aa878a59a5896eba6dc077fcf7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004357", "prompt": "What is -82025 * (78558 - (-10343) - (-86848))?", "solution_steps": ["Subtract: 78558 - (-10343) = 88901", "Subtract: 88901 - (-86848) = 175749", "Multiply: -82025 * 175749 = -14415811725"], "final_answer": "-14415811725", "answer_type": "integer", "kind": "expression", "math_text": "-82025 * (78558 - (-10343) - (-86848))", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -82025, \"b\": 78558, \"c\": -10343, \"d\": -86848}", "seed": "17780856766352066388", "semantic_fingerprint": "sha256:74f18341ec9a380d49ec6e4b75ed7f0fea278f922bec50786b2281bf8b9766d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004358", "prompt": "Evaluate: -5580 - (-53109 - 96623 - 74804 * (-4037)) + (-80799)", "solution_steps": ["Subtract: -53109 - 96623 = -149732", "Multiply: 74804 * (-4037) = -301983748", "Subtract: -149732 - (-301983748) = 301834016", "Subtract: -5580 - 301834016 = -301839596", "Add: -301839596 + (-80799) = -301920395"], "final_answer": "-301920395", "answer_type": "integer", "kind": "expression", "math_text": "-5580 - (-53109 - 96623 - 74804 * (-4037)) + (-80799)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- (- n n) (* n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5580, \"b\": -53109, \"c\": 96623, \"d\": 74804, \"e\": -4037, \"f\": -80799}", "seed": "1904575229765762774", "semantic_fingerprint": "sha256:170f11d066f690b3507b17a9e53659853f03b58e0448ba6a26d1a9a0edad624b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004359", "prompt": "Evaluate: (8322 - 6657) / (-13995) * 1793", "solution_steps": ["Subtract: 8322 - 6657 = 1665", "Divide: 1665 / (-13995) = -37/311", "Multiply: (-37/311) * 1793 = -66341/311"], "final_answer": "-66341/311", "answer_type": "rational", "kind": "expression", "math_text": "(8322 - 6657) / (-13995) * 1793", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8322, \"b\": 6657, \"c\": -13995, \"d\": 1793}", "seed": "3792783937367784742", "semantic_fingerprint": "sha256:1b343cf9effa5bee438fd4c587bb616e7ab6aedd8a359021379f5a0901e8683d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004360", "prompt": "Compute: -4446 * (-8395) * 9448", "solution_steps": ["Multiply: -4446 * (-8395) = 37324170", "Multiply: 37324170 * 9448 = 352638758160"], "final_answer": "352638758160", "answer_type": "integer", "kind": "expression", "math_text": "-4446 * (-8395) * 9448", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4446, \"b\": -8395, \"c\": 9448}", "seed": "14081189558495263297", "semantic_fingerprint": "sha256:6f8700ca62303f6e6bbf55df6b557fa69faa106d11a2096cbf6c887d663905f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004361", "prompt": "Calculate: -1000 + (33832 - (-6465)) * (4499 - 6586)", "solution_steps": ["Subtract: 33832 - (-6465) = 40297", "Subtract: 4499 - 6586 = -2087", "Multiply: 40297 * (-2087) = -84099839", "Add: -1000 + (-84099839) = -84100839"], "final_answer": "-84100839", "answer_type": "integer", "kind": "expression", "math_text": "-1000 + (33832 - (-6465)) * (4499 - 6586)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1000, \"b\": 33832, \"c\": -6465, \"d\": 4499, \"e\": 6586}", "seed": "2693714263003282348", "semantic_fingerprint": "sha256:be878accef16d1e35db0f613659ddb4df5d194dbfec16af1d1bc5284efac166b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004362", "prompt": "Calculate: ((-2393 + 1630) * 73904 + 2295) / (-5749)", "solution_steps": ["Add: -2393 + 1630 = -763", "Multiply: -763 * 73904 = -56388752", "Add: -56388752 + 2295 = -56386457", "Divide: -56386457 / (-5749) = 56386457/5749"], "final_answer": "56386457/5749", "answer_type": "rational", "kind": "expression", "math_text": "((-2393 + 1630) * 73904 + 2295) / (-5749)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2393, \"b\": 1630, \"c\": 73904, \"d\": 2295, \"e\": -5749}", "seed": "6641094272501612233", "semantic_fingerprint": "sha256:3179f1302eb3e8839f01ff164097e8ce19263705464be6af329b34e0670a8880", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004363", "prompt": "What is 3692 - (-82919 + (-7563) + (-34733))?", "solution_steps": ["Add: -82919 + (-7563) = -90482", "Add: -90482 + (-34733) = -125215", "Subtract: 3692 - (-125215) = 128907"], "final_answer": "128907", "answer_type": "integer", "kind": "expression", "math_text": "3692 - (-82919 + (-7563) + (-34733))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3692, \"b\": -82919, \"c\": -7563, \"d\": -34733}", "seed": "7086999498186977376", "semantic_fingerprint": "sha256:1daa91a288c4c0ce211735ebd53b5af90f8b908aed931ec61d9263704eb1dc13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004364", "prompt": "Calculate: 9751 + (-2085)", "solution_steps": ["Add: 9751 + (-2085) = 7666"], "final_answer": "7666", "answer_type": "integer", "kind": "expression", "math_text": "9751 + (-2085)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9751, \"b\": -2085}", "seed": "14104313626018021709", "semantic_fingerprint": "sha256:53dc91eb13b289a77994b6b82f4c209bffce4dff659d3841eddc76800b19568e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004365", "prompt": "Calculate: (-8012 - 4899) / (-9237)", "solution_steps": ["Subtract: -8012 - 4899 = -12911", "Divide: -12911 / (-9237) = 12911/9237"], "final_answer": "12911/9237", "answer_type": "rational", "kind": "expression", "math_text": "(-8012 - 4899) / (-9237)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8012, \"b\": 4899, \"c\": -9237}", "seed": "2023769562950466634", "semantic_fingerprint": "sha256:861acbbace28c51fa759b11aba2c8c869eaa99e04d752fb92e0562d43795e6ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004366", "prompt": "What is 8343 + (-2220 * 58525 - 41439) / (-7301)?", "solution_steps": ["Multiply: -2220 * 58525 = -129925500", "Subtract: -129925500 - 41439 = -129966939", "Divide: -129966939 / (-7301) = 129966939/7301", "Add: 8343 + 129966939/7301 = 190879182/7301"], "final_answer": "190879182/7301", "answer_type": "rational", "kind": "expression", "math_text": "8343 + (-2220 * 58525 - 41439) / (-7301)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8343, \"b\": -2220, \"c\": 58525, \"d\": 41439, \"e\": -7301}", "seed": "6211205351467469080", "semantic_fingerprint": "sha256:5404abb4e19c7b85551bfa84482f3a416fbd3de015545d4249b8e326bbf27ab7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004367", "prompt": "Calculate: 1344 * (7460 / 4115) / (-3884)", "solution_steps": ["Divide: 7460 / 4115 = 1492/823", "Multiply: 1344 * (1492/823) = 2005248/823", "Divide: (2005248/823) / (-3884) = -501312/799133"], "final_answer": "-501312/799133", "answer_type": "rational", "kind": "expression", "math_text": "1344 * (7460 / 4115) / (-3884)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1344, \"b\": 7460, \"c\": 4115, \"d\": -3884}", "seed": "17148234551617868164", "semantic_fingerprint": "sha256:a9ffa999c333a92e7faad7c6673d3942eedecb19b4f21091475a00894d155b8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004368", "prompt": "Compute: -5787 - (-6469)", "solution_steps": ["Subtract: -5787 - (-6469) = 682"], "final_answer": "682", "answer_type": "integer", "kind": "expression", "math_text": "-5787 - (-6469)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5787, \"b\": -6469}", "seed": "2686378747339069535", "semantic_fingerprint": "sha256:177632a4578095625b1e4cf9f8addc272eac64e12c695c9e3bcf36cfe03326f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004369", "prompt": "Find x: -33x - 6688 = x", "solution_steps": ["Subtract x from both sides: -34x - 6688 = 0", "Add 6688 to both sides: -34x = 6688", "Divide both sides by -34: x = -3344/17"], "final_answer": "-3344/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33x - 6688 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 6688}", "seed": "6106627545586613087", "semantic_fingerprint": "sha256:2b8e79096158c78f35501473a209705e7d0555e947528916e78b12d718e4e132", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004370", "prompt": "What is 6794 + 27588 - (-8671)?", "solution_steps": ["Add: 6794 + 27588 = 34382", "Subtract: 34382 - (-8671) = 43053"], "final_answer": "43053", "answer_type": "integer", "kind": "expression", "math_text": "6794 + 27588 - (-8671)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6794, \"b\": 27588, \"c\": -8671}", "seed": "10676830358565731579", "semantic_fingerprint": "sha256:4205b4de1519c4e3caaf1eefebacee909860b51e69ec63df0425b0be39772d05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004371", "prompt": "Compute: -52761 - (67922 - (-46357))", "solution_steps": ["Subtract: 67922 - (-46357) = 114279", "Subtract: -52761 - 114279 = -167040"], "final_answer": "-167040", "answer_type": "integer", "kind": "expression", "math_text": "-52761 - (67922 - (-46357))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -52761, \"b\": 67922, \"c\": -46357}", "seed": "11828148623720382947", "semantic_fingerprint": "sha256:99e18030bde8590a349e9ea7cf698ca41ae82b271cac86399dccdf606203041d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004372", "prompt": "What value of x satisfies -23x - 9242 = x + 2648?", "solution_steps": ["Subtract x from both sides: -24x - 9242 = 2648", "Add 9242 to both sides: -24x = 11890", "Divide both sides by -24: x = -5945/12"], "final_answer": "-5945/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23x - 9242 = x + 2648", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 9242, \"c\": 2648}", "seed": "17015769069622195367", "semantic_fingerprint": "sha256:81c61527f591e47155fe261808b79eac8ccb1528ecc376548dc22e3c70aa4ae3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004373", "prompt": "Calculate: (5505 + (-67544)) * 21843 + (-2762)", "solution_steps": ["Add: 5505 + (-67544) = -62039", "Multiply: -62039 * 21843 = -1355117877", "Add: -1355117877 + (-2762) = -1355120639"], "final_answer": "-1355120639", "answer_type": "integer", "kind": "expression", "math_text": "(5505 + (-67544)) * 21843 + (-2762)", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5505, \"b\": -67544, \"c\": 21843, \"d\": -2762}", "seed": "18356125927221087285", "semantic_fingerprint": "sha256:f4450a3037af2b27e489b26a5ea689f03c5c2a84ff59e6e5fd556cfdc3554007", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004374", "prompt": "Calculate: -3857 + (5331 + 4583)", "solution_steps": ["Add: 5331 + 4583 = 9914", "Add: -3857 + 9914 = 6057"], "final_answer": "6057", "answer_type": "integer", "kind": "expression", "math_text": "-3857 + (5331 + 4583)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3857, \"b\": 5331, \"c\": 4583}", "seed": "9574351055799828682", "semantic_fingerprint": "sha256:c4468049b9dd7f43df33b02a5e88ad275e5ca425a48305fd846001a9f2e9755c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004375", "prompt": "Solve the equation -17(x - 2279) = 35x + 37651 for x.", "solution_steps": ["Expand: -17x + 38743 = 35x + 37651", "Subtract 35x from both sides: -52x + 38743 = 37651", "Subtract 38743 from both sides: -52x = -1092", "Divide both sides by -52: x = 21"], "final_answer": "21", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17(x - 2279) = 35x + 37651", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 2279, \"c\": 35, \"e\": 37651, \"x\": 21}", "seed": "3875075518071964965", "semantic_fingerprint": "sha256:e2b7992ef14e5004362731cf263cb4defdedfe1674bf42ac6614e690fe60ea17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004376", "prompt": "Evaluate: -6776 / 8868 + (-9929)", "solution_steps": ["Divide: -6776 / 8868 = -1694/2217", "Add: -1694/2217 + (-9929) = -22014287/2217"], "final_answer": "-22014287/2217", "answer_type": "rational", "kind": "expression", "math_text": "-6776 / 8868 + (-9929)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6776, \"b\": 8868, \"c\": -9929}", "seed": "5571641045767268415", "semantic_fingerprint": "sha256:a33f7bbb72d2e99d95754cce5c27228efe1c825a22562584afb9827a019cad78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004377", "prompt": "Solve the equation 18(x + 18284) - 80105 = -19x - 18746 for x.", "solution_steps": ["Expand: 18x + 329112 - 80105 = -19x - 18746", "Combine constants: 18x + 249007 = -19x - 18746", "Add 19x to both sides: 37x + 249007 = -18746", "Subtract 249007 from both sides: 37x = -267753", "Divide both sides by 37: x = -267753/37"], "final_answer": "-267753/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 18284) - 80105 = -19x - 18746", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 18284, \"c\": 80105, \"d\": -19, \"e\": 18746}", "seed": "5597214482723875007", "semantic_fingerprint": "sha256:01d8a084c3b77bbbfd69064bfe5d28a707d0de549d2eb6a5fe3a691ac0c6ea7c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004378", "prompt": "Compute: -99962 + (74148 - (12400 - (-85563))) - 7712", "solution_steps": ["Subtract: 12400 - (-85563) = 97963", "Subtract: 74148 - 97963 = -23815", "Add: -99962 + (-23815) = -123777", "Subtract: -123777 - 7712 = -131489"], "final_answer": "-131489", "answer_type": "integer", "kind": "expression", "math_text": "-99962 + (74148 - (12400 - (-85563))) - 7712", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -99962, \"b\": 74148, \"c\": 12400, \"d\": -85563, \"e\": 7712}", "seed": "2002194427890061931", "semantic_fingerprint": "sha256:fa9a7790b49b4c3dfa8d6798aa7d8ba1f7c6fe1008ea762fffa9d42cf31a35fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004379", "prompt": "Compute: -4073 * (-7709 / 3557)", "solution_steps": ["Divide: -7709 / 3557 = -7709/3557", "Multiply: -4073 * (-7709/3557) = 31398757/3557"], "final_answer": "31398757/3557", "answer_type": "rational", "kind": "expression", "math_text": "-4073 * (-7709 / 3557)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4073, \"b\": -7709, \"c\": 3557}", "seed": "12132393161688680891", "semantic_fingerprint": "sha256:2f641ec9ffd532a041f1a132c292d3e9d742a21bf38529a9db59ee4794a83f5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004380", "prompt": "What is -5254 * (-3670)?", "solution_steps": ["Multiply: -5254 * (-3670) = 19282180"], "final_answer": "19282180", "answer_type": "integer", "kind": "expression", "math_text": "-5254 * (-3670)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5254, \"b\": -3670}", "seed": "5819156803103789703", "semantic_fingerprint": "sha256:146d5c7f2c1a0813ffe54006174f4f9e41482f551bac81361a25b1ef0df25df4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004381", "prompt": "Find x: x - 4234 = 30x", "solution_steps": ["Subtract 30x from both sides: -29x - 4234 = 0", "Add 4234 to both sides: -29x = 4234", "Divide both sides by -29: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4234 = 30x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": -4234, \"x\": -146}", "seed": "8416540618319676085", "semantic_fingerprint": "sha256:34e805ff4dbb72eef8178772b4111852b2ec7db1650c79f833573379d1453597", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004382", "prompt": "What is 27675 / (-5360) / (-1205)?", "solution_steps": ["Divide: 27675 / (-5360) = -5535/1072", "Divide: (-5535/1072) / (-1205) = 1107/258352"], "final_answer": "1107/258352", "answer_type": "rational", "kind": "expression", "math_text": "27675 / (-5360) / (-1205)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27675, \"b\": -5360, \"c\": -1205}", "seed": "10316818470982670252", "semantic_fingerprint": "sha256:3197f0db46912ead82807018e6a1d32dd5f423ec42ab8fcab1cf64caa09a5fc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004383", "prompt": "What is -4475 + 36610?", "solution_steps": ["Add: -4475 + 36610 = 32135"], "final_answer": "32135", "answer_type": "integer", "kind": "expression", "math_text": "-4475 + 36610", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4475, \"b\": 36610}", "seed": "5707920851677217417", "semantic_fingerprint": "sha256:891b2557b08ff1f475be8df6da0d20cb02360ddc9873239c908230c4788b9985", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004384", "prompt": "What value of x satisfies 24(x - 6406) = 29(x + 62744)?", "solution_steps": ["Expand: 24x - 153744 = 29(x + 62744)", "Expand: 24x - 153744 = 29x + 1819576", "Subtract 29x from both sides: -5x - 153744 = 1819576", "Add 153744 to both sides: -5x = 1973320", "Divide both sides by -5: x = -394664"], "final_answer": "-394664", "answer_type": "integer", "kind": "linear_equation", "math_text": "24(x - 6406) = 29(x + 62744)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 6406, \"c\": 29, \"d\": 62744}", "seed": "3926537308254926831", "semantic_fingerprint": "sha256:f514d303afefb1de3e2ea5a43be86989a69ee4ec43f5ad5436c50d205337f0d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004385", "prompt": "Solve the equation -21(x - 46219) + 72700 = 26x for x.", "solution_steps": ["Expand: -21x + 970599 + 72700 = 26x", "Combine constants: -21x + 1043299 = 26x", "Subtract 26x from both sides: -47x + 1043299 = 0", "Subtract 1043299 from both sides: -47x = -1043299", "Divide both sides by -47: x = 1043299/47"], "final_answer": "1043299/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 46219) + 72700 = 26x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 46219, \"c\": 72700, \"d\": 26}", "seed": "747403187328054131", "semantic_fingerprint": "sha256:be52b335fa35f1c7bfc230025a604f23554ec322c31b73de209edc35e55b7349", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004386", "prompt": "Compute: 11791 + (-3829)", "solution_steps": ["Add: 11791 + (-3829) = 7962"], "final_answer": "7962", "answer_type": "integer", "kind": "expression", "math_text": "11791 + (-3829)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 11791, \"b\": -3829}", "seed": "9936323458727055573", "semantic_fingerprint": "sha256:cb5903aaa8bb0ceb67d78662c847b1560f2456a2cdbdeb80c051b093d2b675c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004387", "prompt": "What is 8817 - (-36963 + 9648)?", "solution_steps": ["Add: -36963 + 9648 = -27315", "Subtract: 8817 - (-27315) = 36132"], "final_answer": "36132", "answer_type": "integer", "kind": "expression", "math_text": "8817 - (-36963 + 9648)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8817, \"b\": -36963, \"c\": 9648}", "seed": "12004273620791499780", "semantic_fingerprint": "sha256:4b417f96284d44fbca89f6c691f508236e15d7d7ebe3b8350ab52b0bbb5988e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004388", "prompt": "What is 28417 + (42645 - 4385 / (-30699))?", "solution_steps": ["Divide: 4385 / (-30699) = -4385/30699", "Subtract: 42645 - (-4385/30699) = 1309163240/30699", "Add: 28417 + 1309163240/30699 = 2181536723/30699"], "final_answer": "2181536723/30699", "answer_type": "rational", "kind": "expression", "math_text": "28417 + (42645 - 4385 / (-30699))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28417, \"b\": 42645, \"c\": 4385, \"d\": -30699}", "seed": "14140271277151738621", "semantic_fingerprint": "sha256:e6459a1ce874b5fb843867a1e4f8c59a67e36732e9532f7ceed0b45e238460f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004389", "prompt": "Calculate: 8814 * 7283 / 7006", "solution_steps": ["Multiply: 8814 * 7283 = 64192362", "Divide: 64192362 / 7006 = 284037/31"], "final_answer": "284037/31", "answer_type": "rational", "kind": "expression", "math_text": "8814 * 7283 / 7006", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8814, \"b\": 7283, \"c\": 7006}", "seed": "810440911444258230", "semantic_fingerprint": "sha256:41db289588db462cc01b07fa51648ad2f075206644741f55f5b5fa8e060cd929", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004390", "prompt": "Evaluate: 70036 + 54589 / 98406", "solution_steps": ["Divide: 54589 / 98406 = 54589/98406", "Add: 70036 + 54589/98406 = 6892017205/98406"], "final_answer": "6892017205/98406", "answer_type": "rational", "kind": "expression", "math_text": "70036 + 54589 / 98406", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70036, \"b\": 54589, \"c\": 98406}", "seed": "7852771509994995655", "semantic_fingerprint": "sha256:155815aec5d25d8c3f69cb9db78e48fb568ce9ab58621372dc003c4558f885ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004391", "prompt": "Compute: ((21303 - (-9724)) / (-8797) - 87566) * (9231 - (-1098))", "solution_steps": ["Subtract: 21303 - (-9724) = 31027", "Divide: 31027 / (-8797) = -1633/463", "Subtract: -1633/463 - 87566 = -40544691/463", "Subtract: 9231 - (-1098) = 10329", "Multiply: (-40544691/463) * 10329 = -418786113339/463"], "final_answer": "-418786113339/463", "answer_type": "rational", "kind": "expression", "math_text": "((21303 - (-9724)) / (-8797) - 87566) * (9231 - (-1098))", "variable": null, "family": "expression_5op", "shape": "(* (- (/ (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21303, \"b\": -9724, \"c\": -8797, \"d\": 87566, \"e\": 9231, \"f\": -1098}", "seed": "9268821745699444391", "semantic_fingerprint": "sha256:a6ecabe0edf3d1c74d6dcb1027c4e9c07b118042c54efa33a86c2687cfeedfd6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004392", "prompt": "Evaluate: -1047 + (-7182)", "solution_steps": ["Add: -1047 + (-7182) = -8229"], "final_answer": "-8229", "answer_type": "integer", "kind": "expression", "math_text": "-1047 + (-7182)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1047, \"b\": -7182}", "seed": "12857596963656617550", "semantic_fingerprint": "sha256:900778dc26c2370663d9561058dd330db4f87425aa51b6339edab27caf17bd2a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004393", "prompt": "Solve for x: -22x + 6515 = 15(x + 9844) - 7224", "solution_steps": ["Expand: -22x + 6515 = 15x + 147660 - 7224", "Combine constants: -22x + 6515 = 15x + 140436", "Subtract 15x from both sides: -37x + 6515 = 140436", "Subtract 6515 from both sides: -37x = 133921", "Divide both sides by -37: x = -133921/37"], "final_answer": "-133921/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22x + 6515 = 15(x + 9844) - 7224", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 6515, \"c\": 15, \"d\": 9844, \"e\": 7224}", "seed": "4900111140707181103", "semantic_fingerprint": "sha256:0620c080a08dbb9a92ea2e38f35a715596f50d65d278829176207404e922fc62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004394", "prompt": "Solve the equation 40x = x for x.", "solution_steps": ["Subtract x from both sides: 39x = 0", "Divide both sides by 39: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40}", "seed": "5367568572957414153", "semantic_fingerprint": "sha256:ec20a4967c319ca7aedf09a48060101fac1133b3b3b2dde11a022493e2665457", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004395", "prompt": "Calculate: 5545 / (-93618)", "solution_steps": ["Divide: 5545 / (-93618) = -5545/93618"], "final_answer": "-5545/93618", "answer_type": "rational", "kind": "expression", "math_text": "5545 / (-93618)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5545, \"b\": -93618}", "seed": "17814867402205962036", "semantic_fingerprint": "sha256:70e8ebcdc0f0a8f484d285c2176cf03668b9d2d6f5f4f3a78d5e5c9b4923ffe0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004396", "prompt": "What is (-4916 - (9594 - (-6863))) / (-38325 / 6082)?", "solution_steps": ["Subtract: 9594 - (-6863) = 16457", "Subtract: -4916 - 16457 = -21373", "Divide: -38325 / 6082 = -38325/6082", "Divide: -21373 / (-38325/6082) = 129990586/38325"], "final_answer": "129990586/38325", "answer_type": "rational", "kind": "expression", "math_text": "(-4916 - (9594 - (-6863))) / (-38325 / 6082)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4916, \"b\": 9594, \"c\": -6863, \"d\": -38325, \"e\": 6082}", "seed": "6444467045289367092", "semantic_fingerprint": "sha256:8fdc137b84943c1da0be5c15d1b09e020e2626bba6f167a1bca8571d19d246ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004397", "prompt": "Calculate: 1728 + 11000 - (-6355)", "solution_steps": ["Add: 1728 + 11000 = 12728", "Subtract: 12728 - (-6355) = 19083"], "final_answer": "19083", "answer_type": "integer", "kind": "expression", "math_text": "1728 + 11000 - (-6355)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1728, \"b\": 11000, \"c\": -6355}", "seed": "10054652954415162262", "semantic_fingerprint": "sha256:f001951a9f2e5a75c8e566abf9c0a218bf268c627a9a8423da99145ec0a25b16", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004398", "prompt": "What is 80220 / 90616?", "solution_steps": ["Divide: 80220 / 90616 = 20055/22654"], "final_answer": "20055/22654", "answer_type": "rational", "kind": "expression", "math_text": "80220 / 90616", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80220, \"b\": 90616}", "seed": "290769571623210531", "semantic_fingerprint": "sha256:635bc3f48e9d47f9bd8e4a33163683ce6dcb1ba47907bfcb153a1ff7b3436b33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004399", "prompt": "Solve the equation -14(x - 6144) = 22x + 92928 for x.", "solution_steps": ["Expand: -14x + 86016 = 22x + 92928", "Subtract 22x from both sides: -36x + 86016 = 92928", "Subtract 86016 from both sides: -36x = 6912", "Divide both sides by -36: x = -192"], "final_answer": "-192", "answer_type": "integer", "kind": "linear_equation", "math_text": "-14(x - 6144) = 22x + 92928", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 6144, \"c\": 22, \"e\": 92928, \"x\": -192}", "seed": "3301132515964581885", "semantic_fingerprint": "sha256:72a37e633e99b4ea7c3956ae6f8ad7ee861d5b226ab2348bed2c67ea0c917e73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004400", "prompt": "Calculate: (5627 - 9643) * (-5642 + 1210 - (-90325))", "solution_steps": ["Subtract: 5627 - 9643 = -4016", "Add: -5642 + 1210 = -4432", "Subtract: -4432 - (-90325) = 85893", "Multiply: -4016 * 85893 = -344946288"], "final_answer": "-344946288", "answer_type": "integer", "kind": "expression", "math_text": "(5627 - 9643) * (-5642 + 1210 - (-90325))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5627, \"b\": 9643, \"c\": -5642, \"d\": 1210, \"e\": -90325}", "seed": "8768062721288814352", "semantic_fingerprint": "sha256:fb542e3d877c98453fb56c254840b40f8a03196576a2101a3bea38f37ce5c5ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004401", "prompt": "Compute: 34394 - (8016 * 5191 + (2422 - 30000))", "solution_steps": ["Multiply: 8016 * 5191 = 41611056", "Subtract: 2422 - 30000 = -27578", "Add: 41611056 + (-27578) = 41583478", "Subtract: 34394 - 41583478 = -41549084"], "final_answer": "-41549084", "answer_type": "integer", "kind": "expression", "math_text": "34394 - (8016 * 5191 + (2422 - 30000))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34394, \"b\": 8016, \"c\": 5191, \"d\": 2422, \"e\": 30000}", "seed": "2483639251833632840", "semantic_fingerprint": "sha256:58820c5698ad8746459fe1a4f69843c3029cca841c50e58c2bf95cde36357a3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004402", "prompt": "Find x: -13x - 6127 = 35x", "solution_steps": ["Subtract 35x from both sides: -48x - 6127 = 0", "Add 6127 to both sides: -48x = 6127", "Divide both sides by -48: x = -6127/48"], "final_answer": "-6127/48", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x - 6127 = 35x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 6127, \"c\": 35}", "seed": "346891997408163665", "semantic_fingerprint": "sha256:d1cb91b55bd4c2aa8e2f1d53a40d47caea19aae8b741f423b00bea0bb3a98f67", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004403", "prompt": "Calculate: 58904 * (-4304 * 3147)", "solution_steps": ["Multiply: -4304 * 3147 = -13544688", "Multiply: 58904 * (-13544688) = -797836301952"], "final_answer": "-797836301952", "answer_type": "integer", "kind": "expression", "math_text": "58904 * (-4304 * 3147)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 58904, \"b\": -4304, \"c\": 3147}", "seed": "3528313754564035478", "semantic_fingerprint": "sha256:66934095f54f2632fbeac2988036430a5c2429fb7d5236883a7ed93789408e30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004404", "prompt": "What is -10326 * (44104 + (-6362))?", "solution_steps": ["Add: 44104 + (-6362) = 37742", "Multiply: -10326 * 37742 = -389723892"], "final_answer": "-389723892", "answer_type": "integer", "kind": "expression", "math_text": "-10326 * (44104 + (-6362))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -10326, \"b\": 44104, \"c\": -6362}", "seed": "15722117443156771923", "semantic_fingerprint": "sha256:380b2615b63cc5876bcf74ac3768dca90392c2abac280172431778c693e54633", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004405", "prompt": "Evaluate: 10551 / 54125 * (-8207)", "solution_steps": ["Divide: 10551 / 54125 = 10551/54125", "Multiply: (10551/54125) * (-8207) = -86592057/54125"], "final_answer": "-86592057/54125", "answer_type": "rational", "kind": "expression", "math_text": "10551 / 54125 * (-8207)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 10551, \"b\": 54125, \"c\": -8207}", "seed": "13953058892465835333", "semantic_fingerprint": "sha256:dfb9448b6f35b8aa4fe4a3733b2cb611572c3d8a18550b2d2d31370ffbcefb06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004406", "prompt": "Solve for x: -19(x + 5154) + 3699 = 14(x - 38467) - 6203", "solution_steps": ["Expand: -19x - 97926 + 3699 = 14(x - 38467) - 6203", "Expand: -19x - 97926 + 3699 = 14x - 538538 - 6203", "Combine constants: -19x - 94227 = 14x - 538538 - 6203", "Combine constants: -19x - 94227 = 14x - 544741", "Subtract 14x from both sides: -33x - 94227 = -544741", "Add 94227 to both sides: -33x = -450514", "Divide both sides by -33: x = 450514/33"], "final_answer": "450514/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 5154) + 3699 = 14(x - 38467) - 6203", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 5154, \"c\": 3699, \"d\": 14, \"e\": 38467, \"f\": 6203}", "seed": "8379876933306102140", "semantic_fingerprint": "sha256:07c0547c9ac40a3b66b6bd81c929b97b79eda3953d255525d2364734a4ff4a0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004407", "prompt": "Compute: 5464 * (-3022) + 6399 - (-3931)", "solution_steps": ["Multiply: 5464 * (-3022) = -16512208", "Add: -16512208 + 6399 = -16505809", "Subtract: -16505809 - (-3931) = -16501878"], "final_answer": "-16501878", "answer_type": "integer", "kind": "expression", "math_text": "5464 * (-3022) + 6399 - (-3931)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5464, \"b\": -3022, \"c\": 6399, \"d\": -3931}", "seed": "18370605584615459271", "semantic_fingerprint": "sha256:b69c9783a6ff32db0089552502952896144c1063978d20ece15bf4d43c5b31d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004408", "prompt": "Solve the equation 14x + 1196 = x for x.", "solution_steps": ["Subtract x from both sides: 13x + 1196 = 0", "Subtract 1196 from both sides: 13x = -1196", "Divide both sides by 13: x = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x + 1196 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"c\": 1196, \"x\": -92}", "seed": "9218924025602094368", "semantic_fingerprint": "sha256:bc0ac9322517bf839639f70da1de67646005e2ee1765b4c06f7373179e5c5a0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004409", "prompt": "What is -9016 / 2015?", "solution_steps": ["Divide: -9016 / 2015 = -9016/2015"], "final_answer": "-9016/2015", "answer_type": "rational", "kind": "expression", "math_text": "-9016 / 2015", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9016, \"b\": 2015}", "seed": "1825576302706785438", "semantic_fingerprint": "sha256:5283227f291fa450eb62ac6260ea5caa4d4a0488aa9bb901ddbd212be0cb40df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004410", "prompt": "Find x: x + 5983 = 29(x + 2295) - 63848", "solution_steps": ["Expand: x + 5983 = 29x + 66555 - 63848", "Combine constants: x + 5983 = 29x + 2707", "Subtract 29x from both sides: -28x + 5983 = 2707", "Subtract 5983 from both sides: -28x = -3276", "Divide both sides by -28: x = 117"], "final_answer": "117", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5983 = 29(x + 2295) - 63848", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5983, \"b\": 29, \"c\": 2295, \"e\": -63848, \"x\": 117}", "seed": "4152861305958513742", "semantic_fingerprint": "sha256:6f9ef9c16681b686b23525823a73e54fa5223708cfb5a3bdcadf05577ef80f65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004411", "prompt": "What is 9795 - 7189 / 4744?", "solution_steps": ["Divide: 7189 / 4744 = 7189/4744", "Subtract: 9795 - 7189/4744 = 46460291/4744"], "final_answer": "46460291/4744", "answer_type": "rational", "kind": "expression", "math_text": "9795 - 7189 / 4744", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9795, \"b\": 7189, \"c\": 4744}", "seed": "14020780994184873403", "semantic_fingerprint": "sha256:6daa57239771ae1635d4729467f196c818922133051a9b206b5e68b17b87e025", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004412", "prompt": "What value of x satisfies x - 7367 = -23x + 82850?", "solution_steps": ["Add 23x to both sides: 24x - 7367 = 82850", "Add 7367 to both sides: 24x = 90217", "Divide both sides by 24: x = 90217/24"], "final_answer": "90217/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7367 = -23x + 82850", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7367, \"b\": -23, \"c\": 82850}", "seed": "11415424867563233583", "semantic_fingerprint": "sha256:2b952f5900f8a5c8cbdfe29f73a9663cc6c6aa7bd1e01c67cd430f8c09d3e773", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004413", "prompt": "Evaluate: -37962 / (95317 / 1910)", "solution_steps": ["Divide: 95317 / 1910 = 95317/1910", "Divide: -37962 / (95317/1910) = -72507420/95317"], "final_answer": "-72507420/95317", "answer_type": "rational", "kind": "expression", "math_text": "-37962 / (95317 / 1910)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37962, \"b\": 95317, \"c\": 1910}", "seed": "8115106113260749378", "semantic_fingerprint": "sha256:b37fbff9bff7291028a95b8bea8c5aaafeda1ee4d1e40fc61fed630de1143c6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004414", "prompt": "Solve for x: 31(x - 2892) = 33x", "solution_steps": ["Expand: 31x - 89652 = 33x", "Subtract 33x from both sides: -2x - 89652 = 0", "Add 89652 to both sides: -2x = 89652", "Divide both sides by -2: x = -44826"], "final_answer": "-44826", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x - 2892) = 33x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2892, \"c\": 33}", "seed": "15164828530266474545", "semantic_fingerprint": "sha256:6617aa23354b057ae7148a4b688d5793f921a0d1c7584563b40bcc4081ca4acc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004415", "prompt": "What is -9941 * (-8949 + (-87516))?", "solution_steps": ["Add: -8949 + (-87516) = -96465", "Multiply: -9941 * (-96465) = 958958565"], "final_answer": "958958565", "answer_type": "integer", "kind": "expression", "math_text": "-9941 * (-8949 + (-87516))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9941, \"b\": -8949, \"c\": -87516}", "seed": "1487698136894055792", "semantic_fingerprint": "sha256:a5029a90830b1266ad74748f63a202f7282065b596ab53bd2ba30a1dcbcf7f36", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004416", "prompt": "Compute: (9042 + (-17558)) * (-5768) * (-8391)", "solution_steps": ["Add: 9042 + (-17558) = -8516", "Multiply: -8516 * (-5768) = 49120288", "Multiply: 49120288 * (-8391) = -412168336608"], "final_answer": "-412168336608", "answer_type": "integer", "kind": "expression", "math_text": "(9042 + (-17558)) * (-5768) * (-8391)", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9042, \"b\": -17558, \"c\": -5768, \"d\": -8391}", "seed": "11573964478612770709", "semantic_fingerprint": "sha256:d2d01668d0c86e6783391568f53cf74cc10055119c888e58545ec37529ddf4d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004417", "prompt": "Solve for x: 32(x - 74755) - 8382 = 33(x + 2986) + 92245", "solution_steps": ["Expand: 32x - 2392160 - 8382 = 33(x + 2986) + 92245", "Expand: 32x - 2392160 - 8382 = 33x + 98538 + 92245", "Combine constants: 32x - 2400542 = 33x + 98538 + 92245", "Combine constants: 32x - 2400542 = 33x + 190783", "Subtract 33x from both sides: -x - 2400542 = 190783", "Add 2400542 to both sides: -x = 2591325", "Divide both sides by -1: x = -2591325"], "final_answer": "-2591325", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 74755) - 8382 = 33(x + 2986) + 92245", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 74755, \"c\": 8382, \"d\": 33, \"e\": 2986, \"f\": 92245}", "seed": "18009982649102559819", "semantic_fingerprint": "sha256:740bb89cf7f5524f5adbea1fae9fe2782d46952e05276dab43383d6d1cf19490", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004418", "prompt": "What is -2291 * (53317 - 82721)?", "solution_steps": ["Subtract: 53317 - 82721 = -29404", "Multiply: -2291 * (-29404) = 67364564"], "final_answer": "67364564", "answer_type": "integer", "kind": "expression", "math_text": "-2291 * (53317 - 82721)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2291, \"b\": 53317, \"c\": 82721}", "seed": "13300114199087654261", "semantic_fingerprint": "sha256:669b20384db6b6e5ae013f645f4280e4c3f49d9dfbe8164a8259a4d7309eb5e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004419", "prompt": "Calculate: -3407 - (16168 - 59626)", "solution_steps": ["Subtract: 16168 - 59626 = -43458", "Subtract: -3407 - (-43458) = 40051"], "final_answer": "40051", "answer_type": "integer", "kind": "expression", "math_text": "-3407 - (16168 - 59626)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3407, \"b\": 16168, \"c\": 59626}", "seed": "11188846510118925532", "semantic_fingerprint": "sha256:4246f2a2dde49c666b8746ea3eabc3d74bab9c794defad743ee1002e9e34c492", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004420", "prompt": "Compute: 88529 * (-58750 + (-6969))", "solution_steps": ["Add: -58750 + (-6969) = -65719", "Multiply: 88529 * (-65719) = -5818037351"], "final_answer": "-5818037351", "answer_type": "integer", "kind": "expression", "math_text": "88529 * (-58750 + (-6969))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88529, \"b\": -58750, \"c\": -6969}", "seed": "11142327753381816518", "semantic_fingerprint": "sha256:a6c653a044222aef3da7b74b4c13b643c22f5d7bc8c35590dd09b9b5ac25728b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004421", "prompt": "Calculate: -67658 * (-9760) / (-2786)", "solution_steps": ["Multiply: -67658 * (-9760) = 660342080", "Divide: 660342080 / (-2786) = -330171040/1393"], "final_answer": "-330171040/1393", "answer_type": "rational", "kind": "expression", "math_text": "-67658 * (-9760) / (-2786)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -67658, \"b\": -9760, \"c\": -2786}", "seed": "7982978396298084846", "semantic_fingerprint": "sha256:40cfd1952d717a9adf162aef21a3724ca7f855ca8ec0b768d5ce33c9e50643f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004422", "prompt": "Find x: 35x - 1731 = -24(x - 2914) - 80576", "solution_steps": ["Expand: 35x - 1731 = -24x + 69936 - 80576", "Combine constants: 35x - 1731 = -24x - 10640", "Add 24x to both sides: 59x - 1731 = -10640", "Add 1731 to both sides: 59x = -8909", "Divide both sides by 59: x = -151"], "final_answer": "-151", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x - 1731 = -24(x - 2914) - 80576", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 1731, \"c\": -24, \"d\": 2914, \"f\": -80576, \"x\": -151}", "seed": "3325097557458971133", "semantic_fingerprint": "sha256:53b7dbe6344c377e070f2131559607e1f6d768ea754599c2b57cf61d3229b289", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004423", "prompt": "What is -39123 * (-2066) - (-7901)?", "solution_steps": ["Multiply: -39123 * (-2066) = 80828118", "Subtract: 80828118 - (-7901) = 80836019"], "final_answer": "80836019", "answer_type": "integer", "kind": "expression", "math_text": "-39123 * (-2066) - (-7901)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39123, \"b\": -2066, \"c\": -7901}", "seed": "11355993721364873826", "semantic_fingerprint": "sha256:1afe2df8ba8eb7f533130c4a85a28bf7d9b1ed25cd67f13a149906c996139a3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004424", "prompt": "Find x: 33(x - 2094) + 68998 = 34x", "solution_steps": ["Expand: 33x - 69102 + 68998 = 34x", "Combine constants: 33x - 104 = 34x", "Subtract 34x from both sides: -x - 104 = 0", "Add 104 to both sides: -x = 104", "Divide both sides by -1: x = -104"], "final_answer": "-104", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 2094) + 68998 = 34x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 2094, \"c\": 34, \"e\": 68998, \"x\": -104}", "seed": "11094783738056287923", "semantic_fingerprint": "sha256:b7bea880d36b8d286013c5fdc05cd260cfd2214fb043adbe0f4453b0b568aff3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004425", "prompt": "Evaluate: 63490 - (-9371)", "solution_steps": ["Subtract: 63490 - (-9371) = 72861"], "final_answer": "72861", "answer_type": "integer", "kind": "expression", "math_text": "63490 - (-9371)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 63490, \"b\": -9371}", "seed": "14598776928658172878", "semantic_fingerprint": "sha256:605c24b5ebba47e3efac5026ee494d69bef87a6556c0bb3366de0db3c9c291d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004426", "prompt": "Find x: -16(x + 1211) = 33x - 14182", "solution_steps": ["Expand: -16x - 19376 = 33x - 14182", "Subtract 33x from both sides: -49x - 19376 = -14182", "Add 19376 to both sides: -49x = 5194", "Divide both sides by -49: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16(x + 1211) = 33x - 14182", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 1211, \"c\": 33, \"e\": -14182, \"x\": -106}", "seed": "871585507659457959", "semantic_fingerprint": "sha256:5bb5f6cbd93fb724c3626571df0369502a1e1fc891657dcf65ade479db90db79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004427", "prompt": "Compute: 9469 - (77904 + (-62950) * 4401 + (-78652))", "solution_steps": ["Multiply: -62950 * 4401 = -277042950", "Add: 77904 + (-277042950) = -276965046", "Add: -276965046 + (-78652) = -277043698", "Subtract: 9469 - (-277043698) = 277053167"], "final_answer": "277053167", "answer_type": "integer", "kind": "expression", "math_text": "9469 - (77904 + (-62950) * 4401 + (-78652))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n (* n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9469, \"b\": 77904, \"c\": -62950, \"d\": 4401, \"e\": -78652}", "seed": "8369089910323423340", "semantic_fingerprint": "sha256:d71ff01b7dab5a156fa3d3cb22cd17fefc6f9973576b3c3161f9b9f80f0ebd88", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004428", "prompt": "What is 3255 + 8868?", "solution_steps": ["Add: 3255 + 8868 = 12123"], "final_answer": "12123", "answer_type": "integer", "kind": "expression", "math_text": "3255 + 8868", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3255, \"b\": 8868}", "seed": "2797349876321237418", "semantic_fingerprint": "sha256:6abc4e284947a255bb356290897263b80bf79e4c78fb26228c4d642dfb3af156", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004429", "prompt": "Calculate: (-54644 - 5504) / (-1799)", "solution_steps": ["Subtract: -54644 - 5504 = -60148", "Divide: -60148 / (-1799) = 60148/1799"], "final_answer": "60148/1799", "answer_type": "rational", "kind": "expression", "math_text": "(-54644 - 5504) / (-1799)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -54644, \"b\": 5504, \"c\": -1799}", "seed": "14304570919114060224", "semantic_fingerprint": "sha256:7acbc7d1200b1e9b74960e947506049f966e942b00197592b9b12dc6801dac7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004430", "prompt": "What is 91439 + (-69214)?", "solution_steps": ["Add: 91439 + (-69214) = 22225"], "final_answer": "22225", "answer_type": "integer", "kind": "expression", "math_text": "91439 + (-69214)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 91439, \"b\": -69214}", "seed": "10551017300641929501", "semantic_fingerprint": "sha256:53e97000ad7dcc033e7f6ced92e0ed5fa5b5599a81af1609a06dfe91d527849b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004431", "prompt": "Compute: -86900 * (-12216 + (-7524))", "solution_steps": ["Add: -12216 + (-7524) = -19740", "Multiply: -86900 * (-19740) = 1715406000"], "final_answer": "1715406000", "answer_type": "integer", "kind": "expression", "math_text": "-86900 * (-12216 + (-7524))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86900, \"b\": -12216, \"c\": -7524}", "seed": "3354981815975170858", "semantic_fingerprint": "sha256:372567282dd7d256ba1b90fbc104dc84398c1b6d0903a807c94c54f144c9b1dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004432", "prompt": "Calculate: (-3848 - (4668 + (-1092))) / 4793 - (28785 - (-6376))", "solution_steps": ["Add: 4668 + (-1092) = 3576", "Subtract: -3848 - 3576 = -7424", "Divide: -7424 / 4793 = -7424/4793", "Subtract: 28785 - (-6376) = 35161", "Subtract: -7424/4793 - 35161 = -168534097/4793"], "final_answer": "-168534097/4793", "answer_type": "rational", "kind": "expression", "math_text": "(-3848 - (4668 + (-1092))) / 4793 - (28785 - (-6376))", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3848, \"b\": 4668, \"c\": -1092, \"d\": 4793, \"e\": 28785, \"f\": -6376}", "seed": "13604371380904601066", "semantic_fingerprint": "sha256:be7032f2aae69dd9dce70d3b7f6d59df90a47dfde80ca230b4aa6b0b41454e8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004433", "prompt": "Solve the equation -15(x + 8266) + 2437 = -39x - 5280 for x.", "solution_steps": ["Expand: -15x - 123990 + 2437 = -39x - 5280", "Combine constants: -15x - 121553 = -39x - 5280", "Add 39x to both sides: 24x - 121553 = -5280", "Add 121553 to both sides: 24x = 116273", "Divide both sides by 24: x = 116273/24"], "final_answer": "116273/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x + 8266) + 2437 = -39x - 5280", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 8266, \"c\": 2437, \"d\": -39, \"e\": 5280}", "seed": "4712053435741854331", "semantic_fingerprint": "sha256:46a4995ad578add783d82f52fd00883cf4845014d4f39a651a90dab7767c991b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004434", "prompt": "What is 4163 * (-5225) - 9607 - (-4637)?", "solution_steps": ["Multiply: 4163 * (-5225) = -21751675", "Subtract: -21751675 - 9607 = -21761282", "Subtract: -21761282 - (-4637) = -21756645"], "final_answer": "-21756645", "answer_type": "integer", "kind": "expression", "math_text": "4163 * (-5225) - 9607 - (-4637)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4163, \"b\": -5225, \"c\": 9607, \"d\": -4637}", "seed": "17323179117011333230", "semantic_fingerprint": "sha256:b04ccdc76421d6e714cfd411dfdddc8c14fdf2876cfd547d706ef10b7f954c59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004435", "prompt": "Find x: 23x + 8756 = -29(x - 4726) + 3648", "solution_steps": ["Expand: 23x + 8756 = -29x + 137054 + 3648", "Combine constants: 23x + 8756 = -29x + 140702", "Add 29x to both sides: 52x + 8756 = 140702", "Subtract 8756 from both sides: 52x = 131946", "Divide both sides by 52: x = 65973/26"], "final_answer": "65973/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x + 8756 = -29(x - 4726) + 3648", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 8756, \"c\": -29, \"d\": 4726, \"e\": 3648}", "seed": "8328710446070534052", "semantic_fingerprint": "sha256:fe19d174f48ffa39e2ca941384344765768e5b728cca094d76ff6dd56e317932", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004436", "prompt": "Compute: 73894 * (-40734)", "solution_steps": ["Multiply: 73894 * (-40734) = -3009998196"], "final_answer": "-3009998196", "answer_type": "integer", "kind": "expression", "math_text": "73894 * (-40734)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 73894, \"b\": -40734}", "seed": "6432474464702871129", "semantic_fingerprint": "sha256:37c128938ebf01b1569c8dfac6fd6a439f83b9de268fbb0c4547408f12160fe3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004437", "prompt": "Find x: 21(x + 2145) - 4815 = -26x + 36658", "solution_steps": ["Expand: 21x + 45045 - 4815 = -26x + 36658", "Combine constants: 21x + 40230 = -26x + 36658", "Add 26x to both sides: 47x + 40230 = 36658", "Subtract 40230 from both sides: 47x = -3572", "Divide both sides by 47: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 2145) - 4815 = -26x + 36658", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 2145, \"c\": 4815, \"d\": -26, \"f\": 36658, \"x\": -76}", "seed": "2758121076244010268", "semantic_fingerprint": "sha256:d4d3185146e44b6223eee0878e6d5057943224949bfc842b35f5ddc3970d68e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004438", "prompt": "Evaluate: (8344 - (-58697)) * (-9568)", "solution_steps": ["Subtract: 8344 - (-58697) = 67041", "Multiply: 67041 * (-9568) = -641448288"], "final_answer": "-641448288", "answer_type": "integer", "kind": "expression", "math_text": "(8344 - (-58697)) * (-9568)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8344, \"b\": -58697, \"c\": -9568}", "seed": "18426732625815002614", "semantic_fingerprint": "sha256:5a80fa051171c2102dba49c2b43a768c414bb013b3851afded6d266245ba1ca4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004439", "prompt": "Calculate: (-39426 + 31632) * (-6614)", "solution_steps": ["Add: -39426 + 31632 = -7794", "Multiply: -7794 * (-6614) = 51549516"], "final_answer": "51549516", "answer_type": "integer", "kind": "expression", "math_text": "(-39426 + 31632) * (-6614)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39426, \"b\": 31632, \"c\": -6614}", "seed": "10480150666947190852", "semantic_fingerprint": "sha256:60579f65d3f62dbdb71738af6408b2e84fc2b57acba41c62acda33158f25ce1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004440", "prompt": "Solve the equation x = 23(x - 47049) for x.", "solution_steps": ["Expand: x = 23x - 1082127", "Subtract 23x from both sides: -22x = -1082127", "Divide both sides by -22: x = 1082127/22"], "final_answer": "1082127/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 23(x - 47049)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 47049}", "seed": "14158816245553968025", "semantic_fingerprint": "sha256:341e27588ccfb2f1b228d0ab50cc2fc2011beb092cfdfd0695992d26512bebb9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004441", "prompt": "Compute: -2005 + (-28127 - 2630) + (-13040) / (-5126 / (-26287))", "solution_steps": ["Subtract: -28127 - 2630 = -30757", "Add: -2005 + (-30757) = -32762", "Divide: -5126 / (-26287) = 5126/26287", "Divide: -13040 / (5126/26287) = -171391240/2563", "Add: -32762 + (-171391240/2563) = -255360246/2563"], "final_answer": "-255360246/2563", "answer_type": "rational", "kind": "expression", "math_text": "-2005 + (-28127 - 2630) + (-13040) / (-5126 / (-26287))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2005, \"b\": -28127, \"c\": 2630, \"d\": -13040, \"e\": -5126, \"f\": -26287}", "seed": "10018323011394203605", "semantic_fingerprint": "sha256:55f89b049f40eed073107ec2c6034a04aa1f2ba9667874fe243308ea9a3f8751", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004442", "prompt": "Solve the equation 23(x - 8348) = -21(x - 83079) + 23389 for x.", "solution_steps": ["Expand: 23x - 192004 = -21(x - 83079) + 23389", "Expand: 23x - 192004 = -21x + 1744659 + 23389", "Combine constants: 23x - 192004 = -21x + 1768048", "Add 21x to both sides: 44x - 192004 = 1768048", "Add 192004 to both sides: 44x = 1960052", "Divide both sides by 44: x = 490013/11"], "final_answer": "490013/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 8348) = -21(x - 83079) + 23389", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 8348, \"c\": -21, \"d\": 83079, \"e\": 23389}", "seed": "3463869740156549331", "semantic_fingerprint": "sha256:19aefa5314743ee88176f577d2f47dd21888f6f5052fea44f0b2ed0c58473d46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004443", "prompt": "Compute: 1117 - 3084", "solution_steps": ["Subtract: 1117 - 3084 = -1967"], "final_answer": "-1967", "answer_type": "integer", "kind": "expression", "math_text": "1117 - 3084", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1117, \"b\": 3084}", "seed": "859140198193130765", "semantic_fingerprint": "sha256:d7edf19abacb76dabcab93814eef2cb3cf730ba86d1dddbe8ab69001c817662a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004444", "prompt": "What value of x satisfies 28(x + 1067) + 3050 = 20x - 7334?", "solution_steps": ["Expand: 28x + 29876 + 3050 = 20x - 7334", "Combine constants: 28x + 32926 = 20x - 7334", "Subtract 20x from both sides: 8x + 32926 = -7334", "Subtract 32926 from both sides: 8x = -40260", "Divide both sides by 8: x = -10065/2"], "final_answer": "-10065/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 1067) + 3050 = 20x - 7334", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1067, \"c\": 3050, \"d\": 20, \"e\": 7334}", "seed": "9462406193630571084", "semantic_fingerprint": "sha256:dfe370dc21957a91a5a356614b16e03020f88497816b2069d942275f736c1568", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004445", "prompt": "What value of x satisfies 34(x + 78311) + 4973 = 37(x + 27747) + 83958?", "solution_steps": ["Expand: 34x + 2662574 + 4973 = 37(x + 27747) + 83958", "Expand: 34x + 2662574 + 4973 = 37x + 1026639 + 83958", "Combine constants: 34x + 2667547 = 37x + 1026639 + 83958", "Combine constants: 34x + 2667547 = 37x + 1110597", "Subtract 37x from both sides: -3x + 2667547 = 1110597", "Subtract 2667547 from both sides: -3x = -1556950", "Divide both sides by -3: x = 1556950/3"], "final_answer": "1556950/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 78311) + 4973 = 37(x + 27747) + 83958", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 78311, \"c\": 4973, \"d\": 37, \"e\": 27747, \"f\": 83958}", "seed": "5121190396975670100", "semantic_fingerprint": "sha256:8d1264e96faa3ce2c9f61cbc8906cc20adc90fc894add23bcd3c18aa23bed7d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004446", "prompt": "Compute: -76336 / 38305", "solution_steps": ["Divide: -76336 / 38305 = -76336/38305"], "final_answer": "-76336/38305", "answer_type": "rational", "kind": "expression", "math_text": "-76336 / 38305", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -76336, \"b\": 38305}", "seed": "9797475966754187263", "semantic_fingerprint": "sha256:00082e8c96b4fad4c74635ebf618fc2e235a87593ff20a0c88b60a9f6034aaca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004447", "prompt": "Evaluate: 37587 * (-3639 - (74951 - 3925))", "solution_steps": ["Subtract: 74951 - 3925 = 71026", "Subtract: -3639 - 71026 = -74665", "Multiply: 37587 * (-74665) = -2806433355"], "final_answer": "-2806433355", "answer_type": "integer", "kind": "expression", "math_text": "37587 * (-3639 - (74951 - 3925))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37587, \"b\": -3639, \"c\": 74951, \"d\": 3925}", "seed": "11109299114884015376", "semantic_fingerprint": "sha256:f63262c570a8f80c2567b8d6476b144f990b39df0b5fd65b39ad95077629a5df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004448", "prompt": "What is 63288 * (3016 * (-1494))?", "solution_steps": ["Multiply: 3016 * (-1494) = -4505904", "Multiply: 63288 * (-4505904) = -285169652352"], "final_answer": "-285169652352", "answer_type": "integer", "kind": "expression", "math_text": "63288 * (3016 * (-1494))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63288, \"b\": 3016, \"c\": -1494}", "seed": "12202842462844318480", "semantic_fingerprint": "sha256:b139d209d63c32af4d327ac37e86a1ed0c4e85903c32ae9804694f66af873a1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004449", "prompt": "Calculate: 4893 / (-8544) + (-4394)", "solution_steps": ["Divide: 4893 / (-8544) = -1631/2848", "Add: -1631/2848 + (-4394) = -12515743/2848"], "final_answer": "-12515743/2848", "answer_type": "rational", "kind": "expression", "math_text": "4893 / (-8544) + (-4394)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4893, \"b\": -8544, \"c\": -4394}", "seed": "7909889594485564450", "semantic_fingerprint": "sha256:1fe043610cf998bed3761390b23a56eabcd1ccb1f991d0169135a0c39b11cd47", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004450", "prompt": "Compute: (3090 - (-44226) - (-2824) - (6740 + (-9128))) * 16673", "solution_steps": ["Subtract: 3090 - (-44226) = 47316", "Subtract: 47316 - (-2824) = 50140", "Add: 6740 + (-9128) = -2388", "Subtract: 50140 - (-2388) = 52528", "Multiply: 52528 * 16673 = 875799344"], "final_answer": "875799344", "answer_type": "integer", "kind": "expression", "math_text": "(3090 - (-44226) - (-2824) - (6740 + (-9128))) * 16673", "variable": null, "family": "expression_5op", "shape": "(* (- (- (- n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3090, \"b\": -44226, \"c\": -2824, \"d\": 6740, \"e\": -9128, \"f\": 16673}", "seed": "6684323488957176205", "semantic_fingerprint": "sha256:c4306d8388bb800e2025d7e53282c932c86d1029b6bd7db1929eb75c44ce3a9f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004451", "prompt": "What value of x satisfies -35(x - 6261) = x + 6793?", "solution_steps": ["Expand: -35x + 219135 = x + 6793", "Subtract x from both sides: -36x + 219135 = 6793", "Subtract 219135 from both sides: -36x = -212342", "Divide both sides by -36: x = 106171/18"], "final_answer": "106171/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 6261) = x + 6793", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 6261, \"c\": 6793}", "seed": "3187624375265399315", "semantic_fingerprint": "sha256:1adfec5a86e50d309c924bb020d096d1db2ff09c2b91e9be8cd388dcbe57d385", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004452", "prompt": "Evaluate: -84661 / 6637", "solution_steps": ["Divide: -84661 / 6637 = -84661/6637"], "final_answer": "-84661/6637", "answer_type": "rational", "kind": "expression", "math_text": "-84661 / 6637", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -84661, \"b\": 6637}", "seed": "10863066879469411793", "semantic_fingerprint": "sha256:65f577d5bc997449b8bab81167c206ec82065938914fd0d2a7eddab041b0ab5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004453", "prompt": "Evaluate: -6338 * 93771", "solution_steps": ["Multiply: -6338 * 93771 = -594320598"], "final_answer": "-594320598", "answer_type": "integer", "kind": "expression", "math_text": "-6338 * 93771", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6338, \"b\": 93771}", "seed": "18278690403003763136", "semantic_fingerprint": "sha256:ba96b933492c6b35088559018ecdcf3d32527a77466785e5a33beb5fab7c31c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004454", "prompt": "What is 4187 * 8559 / (-6417 - 6203) * (-24829)?", "solution_steps": ["Multiply: 4187 * 8559 = 35836533", "Subtract: -6417 - 6203 = -12620", "Divide: 35836533 / (-12620) = -35836533/12620", "Multiply: (-35836533/12620) * (-24829) = 889785277857/12620"], "final_answer": "889785277857/12620", "answer_type": "rational", "kind": "expression", "math_text": "4187 * 8559 / (-6417 - 6203) * (-24829)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4187, \"b\": 8559, \"c\": -6417, \"d\": 6203, \"e\": -24829}", "seed": "1336788931721786491", "semantic_fingerprint": "sha256:d3b396c5909c4eee1ead4957025a83736ae1e1329768041fb320aeb1c0026b65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004455", "prompt": "Evaluate: 6243 * (-9367)", "solution_steps": ["Multiply: 6243 * (-9367) = -58478181"], "final_answer": "-58478181", "answer_type": "integer", "kind": "expression", "math_text": "6243 * (-9367)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6243, \"b\": -9367}", "seed": "8608990523777854009", "semantic_fingerprint": "sha256:ce2690cddeb685e5605f6487c8e3ecf22588e4ac6dae897e83034da07c45cc80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004456", "prompt": "Solve for x: 29x = 2755", "solution_steps": ["Divide both sides by 29: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = 2755", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": 2755, \"x\": 95}", "seed": "11995600913403010495", "semantic_fingerprint": "sha256:c84196fe3222d15cfec447e23721551f883dad78e2dad4f4bf8cad8b7826c4c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004457", "prompt": "Calculate: (9379 + (77760 + 8529)) * (-4377 + (-71911))", "solution_steps": ["Add: 77760 + 8529 = 86289", "Add: 9379 + 86289 = 95668", "Add: -4377 + (-71911) = -76288", "Multiply: 95668 * (-76288) = -7298320384"], "final_answer": "-7298320384", "answer_type": "integer", "kind": "expression", "math_text": "(9379 + (77760 + 8529)) * (-4377 + (-71911))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9379, \"b\": 77760, \"c\": 8529, \"d\": -4377, \"e\": -71911}", "seed": "18081942768121583540", "semantic_fingerprint": "sha256:727aec4447689e0e451a6176dbce505e995f7c20d2138bacdd3d5be73aaef27e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004458", "prompt": "Find x: 23(x - 1637) = x", "solution_steps": ["Expand: 23x - 37651 = x", "Subtract x from both sides: 22x - 37651 = 0", "Add 37651 to both sides: 22x = 37651", "Divide both sides by 22: x = 37651/22"], "final_answer": "37651/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 1637) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1637}", "seed": "10577350382227595695", "semantic_fingerprint": "sha256:296acbee539e810b1ce489f44c29505451ce4935e06a9f6daf42a071be41618d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004459", "prompt": "Calculate: -89382 * 6520", "solution_steps": ["Multiply: -89382 * 6520 = -582770640"], "final_answer": "-582770640", "answer_type": "integer", "kind": "expression", "math_text": "-89382 * 6520", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -89382, \"b\": 6520}", "seed": "9134664148564823393", "semantic_fingerprint": "sha256:6f0eb9e6e32e459938281d08c084ca3badc383bd5ac98aecb81a757435afcdb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004460", "prompt": "Solve for x: 33x + 4000 = x", "solution_steps": ["Subtract x from both sides: 32x + 4000 = 0", "Subtract 4000 from both sides: 32x = -4000", "Divide both sides by 32: x = -125"], "final_answer": "-125", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x + 4000 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 4000, \"x\": -125}", "seed": "18420195925173769834", "semantic_fingerprint": "sha256:fb127dd5f1d68a718dd0444b4aae88a99795459a0766bc3556aa0befdab14663", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004461", "prompt": "What is 7260 * (-1369)?", "solution_steps": ["Multiply: 7260 * (-1369) = -9938940"], "final_answer": "-9938940", "answer_type": "integer", "kind": "expression", "math_text": "7260 * (-1369)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7260, \"b\": -1369}", "seed": "968399540736581715", "semantic_fingerprint": "sha256:7e53fb26e15614064b7ef6a437bf02c608b1067a537e0db993d3431441f890a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004462", "prompt": "Compute: -7280 + 1733 - (-4779)", "solution_steps": ["Add: -7280 + 1733 = -5547", "Subtract: -5547 - (-4779) = -768"], "final_answer": "-768", "answer_type": "integer", "kind": "expression", "math_text": "-7280 + 1733 - (-4779)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7280, \"b\": 1733, \"c\": -4779}", "seed": "2882659894875082434", "semantic_fingerprint": "sha256:195d43aa3acbcc4c08ac4cae102e8dd868449cfd1a9aea4fafcb62b54532d3c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004463", "prompt": "What value of x satisfies 13(x + 6715) = x + 87823?", "solution_steps": ["Expand: 13x + 87295 = x + 87823", "Subtract x from both sides: 12x + 87295 = 87823", "Subtract 87295 from both sides: 12x = 528", "Divide both sides by 12: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x + 6715) = x + 87823", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 6715, \"d\": 87823, \"x\": 44}", "seed": "2183449754525146863", "semantic_fingerprint": "sha256:689c2cf2e96528ef22917a81c40c1139137a6521a62812a4078e0a600ab6aa09", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004464", "prompt": "Evaluate: 2662 + 60804", "solution_steps": ["Add: 2662 + 60804 = 63466"], "final_answer": "63466", "answer_type": "integer", "kind": "expression", "math_text": "2662 + 60804", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2662, \"b\": 60804}", "seed": "11281561632412690046", "semantic_fingerprint": "sha256:b0d7a23982e6045544d46455b4502e012d325ff4d7fbf39db667bd573f88eb44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004465", "prompt": "Evaluate: 14291 + (77703 + (-9491))", "solution_steps": ["Add: 77703 + (-9491) = 68212", "Add: 14291 + 68212 = 82503"], "final_answer": "82503", "answer_type": "integer", "kind": "expression", "math_text": "14291 + (77703 + (-9491))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14291, \"b\": 77703, \"c\": -9491}", "seed": "3640002747694598822", "semantic_fingerprint": "sha256:4c0351750a2b08582de1b2c29292838807a16f139b2000170887e2811c685df0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004466", "prompt": "Evaluate: 8517 - (-9833 / (-7912) * (-1229) + 7670)", "solution_steps": ["Divide: -9833 / (-7912) = 9833/7912", "Multiply: (9833/7912) * (-1229) = -12084757/7912", "Add: -12084757/7912 + 7670 = 48600283/7912", "Subtract: 8517 - 48600283/7912 = 18786221/7912"], "final_answer": "18786221/7912", "answer_type": "rational", "kind": "expression", "math_text": "8517 - (-9833 / (-7912) * (-1229) + 7670)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* (/ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8517, \"b\": -9833, \"c\": -7912, \"d\": -1229, \"e\": 7670}", "seed": "13264666050260043360", "semantic_fingerprint": "sha256:8989634896d011dfc8b9f5fff98b277f667cbfc64a495b09affa79d088894d98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004467", "prompt": "What value of x satisfies x + 2027 = 20x?", "solution_steps": ["Subtract 20x from both sides: -19x + 2027 = 0", "Subtract 2027 from both sides: -19x = -2027", "Divide both sides by -19: x = 2027/19"], "final_answer": "2027/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2027 = 20x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2027, \"b\": 20}", "seed": "4687378548079356074", "semantic_fingerprint": "sha256:ff71693f93ceb56ce72b8013bc4cbee8b18a6b131bd2ee40131777e0b0680a98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004468", "prompt": "Solve the equation 30(x + 2607) + 2222 = -29(x - 54338) for x.", "solution_steps": ["Expand: 30x + 78210 + 2222 = -29(x - 54338)", "Expand: 30x + 78210 + 2222 = -29x + 1575802", "Combine constants: 30x + 80432 = -29x + 1575802", "Add 29x to both sides: 59x + 80432 = 1575802", "Subtract 80432 from both sides: 59x = 1495370", "Divide both sides by 59: x = 1495370/59"], "final_answer": "1495370/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 2607) + 2222 = -29(x - 54338)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 2607, \"c\": 2222, \"d\": -29, \"e\": 54338}", "seed": "6586241717934391927", "semantic_fingerprint": "sha256:b8f3ecde49639e404b7c5ef419dd7f6196e41966022e121824a3052a1a5b6f1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004469", "prompt": "What is (-99112 - 16181) / 82380?", "solution_steps": ["Subtract: -99112 - 16181 = -115293", "Divide: -115293 / 82380 = -38431/27460"], "final_answer": "-38431/27460", "answer_type": "rational", "kind": "expression", "math_text": "(-99112 - 16181) / 82380", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -99112, \"b\": 16181, \"c\": 82380}", "seed": "6430737373661704321", "semantic_fingerprint": "sha256:1321c7ea705ed85c90e580794aeec9b1544d42e42c8e704d69ed2707b2730f30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004470", "prompt": "Evaluate: (-7417 - (-12624)) * (-7746 + (-7521))", "solution_steps": ["Subtract: -7417 - (-12624) = 5207", "Add: -7746 + (-7521) = -15267", "Multiply: 5207 * (-15267) = -79495269"], "final_answer": "-79495269", "answer_type": "integer", "kind": "expression", "math_text": "(-7417 - (-12624)) * (-7746 + (-7521))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7417, \"b\": -12624, \"c\": -7746, \"d\": -7521}", "seed": "8981031865913037208", "semantic_fingerprint": "sha256:e602d3874c47d75be34f0e239401cdbb31e475ad56d230619e345cff86560a94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004471", "prompt": "Compute: 84105 + (-7474)", "solution_steps": ["Add: 84105 + (-7474) = 76631"], "final_answer": "76631", "answer_type": "integer", "kind": "expression", "math_text": "84105 + (-7474)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 84105, \"b\": -7474}", "seed": "6348264563867252087", "semantic_fingerprint": "sha256:95c89257577f22da015d309eb6cc1c3622a552d0c1685b3c9b5cb34835eb4416", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004472", "prompt": "Evaluate: (9189 + 87460) * 7903", "solution_steps": ["Add: 9189 + 87460 = 96649", "Multiply: 96649 * 7903 = 763817047"], "final_answer": "763817047", "answer_type": "integer", "kind": "expression", "math_text": "(9189 + 87460) * 7903", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9189, \"b\": 87460, \"c\": 7903}", "seed": "17756293644388308433", "semantic_fingerprint": "sha256:13992b9c30f1d9f293d7f5f12b388b2506d69ba28f99243e72eeb16593108224", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004473", "prompt": "Compute: (9192 + 6235) * (-7891 / (-1143) * 6884)", "solution_steps": ["Add: 9192 + 6235 = 15427", "Divide: -7891 / (-1143) = 7891/1143", "Multiply: (7891/1143) * 6884 = 54321644/1143", "Multiply: 15427 * (54321644/1143) = 838020001988/1143"], "final_answer": "838020001988/1143", "answer_type": "rational", "kind": "expression", "math_text": "(9192 + 6235) * (-7891 / (-1143) * 6884)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9192, \"b\": 6235, \"c\": -7891, \"d\": -1143, \"e\": 6884}", "seed": "4325733288899404580", "semantic_fingerprint": "sha256:6fe2746cc2e0b94afda1b3eef11c8990cdc913a20388693e3a20abbc89e208b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004474", "prompt": "Compute: -1511 + 68390 + (-9316) / (-2693 + 9011)", "solution_steps": ["Add: -1511 + 68390 = 66879", "Add: -2693 + 9011 = 6318", "Divide: -9316 / 6318 = -4658/3159", "Add: 66879 + (-4658/3159) = 211266103/3159"], "final_answer": "211266103/3159", "answer_type": "rational", "kind": "expression", "math_text": "-1511 + 68390 + (-9316) / (-2693 + 9011)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1511, \"b\": 68390, \"c\": -9316, \"d\": -2693, \"e\": 9011}", "seed": "1243754620490467265", "semantic_fingerprint": "sha256:f0cc59542fa32120eae719d9e9e703f6a110177bf37b2c0c84347e6b128f284e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004475", "prompt": "Evaluate: 7832 * (-9517) + (-7408 / (-2552) - 53494) * (-5795)", "solution_steps": ["Multiply: 7832 * (-9517) = -74537144", "Divide: -7408 / (-2552) = 926/319", "Subtract: 926/319 - 53494 = -17063660/319", "Multiply: (-17063660/319) * (-5795) = 98883909700/319", "Add: -74537144 + 98883909700/319 = 75106560764/319"], "final_answer": "75106560764/319", "answer_type": "rational", "kind": "expression", "math_text": "7832 * (-9517) + (-7408 / (-2552) - 53494) * (-5795)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (- (/ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7832, \"b\": -9517, \"c\": -7408, \"d\": -2552, \"e\": 53494, \"f\": -5795}", "seed": "10650700978560042937", "semantic_fingerprint": "sha256:be2832de63a3da5073357deaeebd979409fdcab98f5467c4da80adebbe320319", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004476", "prompt": "What is 3840 / 7638 + (-84871)?", "solution_steps": ["Divide: 3840 / 7638 = 640/1273", "Add: 640/1273 + (-84871) = -108040143/1273"], "final_answer": "-108040143/1273", "answer_type": "rational", "kind": "expression", "math_text": "3840 / 7638 + (-84871)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3840, \"b\": 7638, \"c\": -84871}", "seed": "7589591811391276463", "semantic_fingerprint": "sha256:22b07dbb9d1758d62a73441059aec95e105145cd1a9f5af282b01e33db646ff8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004477", "prompt": "Solve for x: x - 6324 = 23x - 2760", "solution_steps": ["Subtract 23x from both sides: -22x - 6324 = -2760", "Add 6324 to both sides: -22x = 3564", "Divide both sides by -22: x = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6324 = 23x - 2760", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6324, \"b\": 23, \"d\": -2760, \"x\": -162}", "seed": "1358271699034172662", "semantic_fingerprint": "sha256:9e622ff312b2ddd8426cbc2165be1ada9fec34b029f3967bb8ce888943296c74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004478", "prompt": "Compute: -19843 * (9121 / 3150)", "solution_steps": ["Divide: 9121 / 3150 = 1303/450", "Multiply: -19843 * (1303/450) = -25855429/450"], "final_answer": "-25855429/450", "answer_type": "rational", "kind": "expression", "math_text": "-19843 * (9121 / 3150)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19843, \"b\": 9121, \"c\": 3150}", "seed": "2590657661421375201", "semantic_fingerprint": "sha256:3adbdd5382c02e05e245dbfbb826ffab07f6856956685786703d613413e9fd5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004479", "prompt": "Solve for x: 21x = 39(x + 30768)", "solution_steps": ["Expand: 21x = 39x + 1199952", "Subtract 39x from both sides: -18x = 1199952", "Divide both sides by -18: x = -66664"], "final_answer": "-66664", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = 39(x + 30768)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 39, \"c\": 30768}", "seed": "6269841168738354361", "semantic_fingerprint": "sha256:5e58ff14a26ef3343ff8203cfe2b674131ad8a4f8fd299b948fe475ecb68b755", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004480", "prompt": "Compute: -7210 + (9448 + (-40468)) / (-8819)", "solution_steps": ["Add: 9448 + (-40468) = -31020", "Divide: -31020 / (-8819) = 31020/8819", "Add: -7210 + 31020/8819 = -63553970/8819"], "final_answer": "-63553970/8819", "answer_type": "rational", "kind": "expression", "math_text": "-7210 + (9448 + (-40468)) / (-8819)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7210, \"b\": 9448, \"c\": -40468, \"d\": -8819}", "seed": "8697753172230857831", "semantic_fingerprint": "sha256:a60648056de215ee7f785329229fbeabc66b19e2bc13bb11205770a65d4ba394", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004481", "prompt": "Calculate: 5582 - 41582", "solution_steps": ["Subtract: 5582 - 41582 = -36000"], "final_answer": "-36000", "answer_type": "integer", "kind": "expression", "math_text": "5582 - 41582", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5582, \"b\": 41582}", "seed": "10068563601285538547", "semantic_fingerprint": "sha256:bc6682686fcf579cf12682ea0d2901e9cfedc90a2fe3bfdafa4c9ce8266241a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004482", "prompt": "What is (-49976 - 5030 + (-4265) * 51436) / (19632 + 8083)?", "solution_steps": ["Subtract: -49976 - 5030 = -55006", "Multiply: -4265 * 51436 = -219374540", "Add: -55006 + (-219374540) = -219429546", "Add: 19632 + 8083 = 27715", "Divide: -219429546 / 27715 = -219429546/27715"], "final_answer": "-219429546/27715", "answer_type": "rational", "kind": "expression", "math_text": "(-49976 - 5030 + (-4265) * 51436) / (19632 + 8083)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -49976, \"b\": 5030, \"c\": -4265, \"d\": 51436, \"e\": 19632, \"f\": 8083}", "seed": "10015910274342453405", "semantic_fingerprint": "sha256:521fd2c2a404cef9d7385078cecb114647a786ccb11f48b89e135cc20f649755", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004483", "prompt": "What value of x satisfies x - 2000 = 26x?", "solution_steps": ["Subtract 26x from both sides: -25x - 2000 = 0", "Add 2000 to both sides: -25x = 2000", "Divide both sides by -25: x = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2000 = 26x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"c\": -2000, \"x\": -80}", "seed": "3174083894747161578", "semantic_fingerprint": "sha256:26c562e49a084ac3cf16625679d95d6b309edc99f7f97b0897a790251934c01c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004484", "prompt": "Find x: x + 23409 = 27(x - 26218) + 56547", "solution_steps": ["Expand: x + 23409 = 27x - 707886 + 56547", "Combine constants: x + 23409 = 27x - 651339", "Subtract 27x from both sides: -26x + 23409 = -651339", "Subtract 23409 from both sides: -26x = -674748", "Divide both sides by -26: x = 337374/13"], "final_answer": "337374/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 23409 = 27(x - 26218) + 56547", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23409, \"b\": 27, \"c\": 26218, \"d\": 56547}", "seed": "13275079377914644537", "semantic_fingerprint": "sha256:a8446664c99c78ebc1365f708c34ea5f500548e069a23c94a8b3c85edfe9934f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004485", "prompt": "Compute: -12157 / (-36639) + 8738", "solution_steps": ["Divide: -12157 / (-36639) = 12157/36639", "Add: 12157/36639 + 8738 = 320163739/36639"], "final_answer": "320163739/36639", "answer_type": "rational", "kind": "expression", "math_text": "-12157 / (-36639) + 8738", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12157, \"b\": -36639, \"c\": 8738}", "seed": "16642937024559908825", "semantic_fingerprint": "sha256:6b08ec4bfa003dff38b0f3862cfbfb4352e41e5404994723cc60f4ec33ada675", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004486", "prompt": "Evaluate: -97886 / 3378", "solution_steps": ["Divide: -97886 / 3378 = -48943/1689"], "final_answer": "-48943/1689", "answer_type": "rational", "kind": "expression", "math_text": "-97886 / 3378", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97886, \"b\": 3378}", "seed": "7338339206896455073", "semantic_fingerprint": "sha256:2d3eeaad5ffdd6459894c01a53dea3c1624ddbe5511fd0e703cdbe9c31f75a52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004487", "prompt": "What value of x satisfies 32(x - 74919) - 9401 = 37x - 3244?", "solution_steps": ["Expand: 32x - 2397408 - 9401 = 37x - 3244", "Combine constants: 32x - 2406809 = 37x - 3244", "Subtract 37x from both sides: -5x - 2406809 = -3244", "Add 2406809 to both sides: -5x = 2403565", "Divide both sides by -5: x = -480713"], "final_answer": "-480713", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x - 74919) - 9401 = 37x - 3244", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 74919, \"c\": 9401, \"d\": 37, \"e\": 3244}", "seed": "13887885507031658954", "semantic_fingerprint": "sha256:ee2040a031d972535853bd7e2782ccd7c96439a2b9fe35166753fbccd3b511cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004488", "prompt": "Calculate: -33413 / 5234", "solution_steps": ["Divide: -33413 / 5234 = -33413/5234"], "final_answer": "-33413/5234", "answer_type": "rational", "kind": "expression", "math_text": "-33413 / 5234", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33413, \"b\": 5234}", "seed": "12079197266918126498", "semantic_fingerprint": "sha256:5a236e0ffeb91370f10767d139f8f052b8ddc7013239c1ae95e571226a809ce3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004489", "prompt": "What is 31866 - 67682?", "solution_steps": ["Subtract: 31866 - 67682 = -35816"], "final_answer": "-35816", "answer_type": "integer", "kind": "expression", "math_text": "31866 - 67682", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 31866, \"b\": 67682}", "seed": "17938611924192784924", "semantic_fingerprint": "sha256:a35ce20c5ce73b12be530fd16a9c76de682f96d0c3cd5cc5eff16eeb7993e78a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004490", "prompt": "What is -2763 / 53995?", "solution_steps": ["Divide: -2763 / 53995 = -2763/53995"], "final_answer": "-2763/53995", "answer_type": "rational", "kind": "expression", "math_text": "-2763 / 53995", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2763, \"b\": 53995}", "seed": "16546865084526213705", "semantic_fingerprint": "sha256:5a594227bf2469c1443f19cb75e2d008afbb9b48d47c02dd7e718efc02c71ccf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004491", "prompt": "Compute: 23206 * 7269 / (-5542) - (-1788 - 3483)", "solution_steps": ["Multiply: 23206 * 7269 = 168684414", "Divide: 168684414 / (-5542) = -84342207/2771", "Subtract: -1788 - 3483 = -5271", "Subtract: -84342207/2771 - (-5271) = -69736266/2771"], "final_answer": "-69736266/2771", "answer_type": "rational", "kind": "expression", "math_text": "23206 * 7269 / (-5542) - (-1788 - 3483)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23206, \"b\": 7269, \"c\": -5542, \"d\": -1788, \"e\": 3483}", "seed": "10196228406171651761", "semantic_fingerprint": "sha256:a93b7d24e1d8fcafa1168179947df6934c40d8db323e3a9d82d5f03c13bb9e1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004492", "prompt": "Calculate: 31191 - (-2864) + (-37056) / 4449", "solution_steps": ["Subtract: 31191 - (-2864) = 34055", "Divide: -37056 / 4449 = -12352/1483", "Add: 34055 + (-12352/1483) = 50491213/1483"], "final_answer": "50491213/1483", "answer_type": "rational", "kind": "expression", "math_text": "31191 - (-2864) + (-37056) / 4449", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31191, \"b\": -2864, \"c\": -37056, \"d\": 4449}", "seed": "11653004813786229868", "semantic_fingerprint": "sha256:593cdb784e5fb8cb9b40d8d6c3dea4459e765ea375b8e4ead5c681289752f42e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004493", "prompt": "Solve for x: -34(x + 87675) = x + 3341", "solution_steps": ["Expand: -34x - 2980950 = x + 3341", "Subtract x from both sides: -35x - 2980950 = 3341", "Add 2980950 to both sides: -35x = 2984291", "Divide both sides by -35: x = -2984291/35"], "final_answer": "-2984291/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x + 87675) = x + 3341", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 87675, \"c\": 3341}", "seed": "5588752124318900253", "semantic_fingerprint": "sha256:a2b03fa2e15ea50759ae960dce2c85d04c37334a37a5b666284153cc4f303bef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004494", "prompt": "What is -8219 - (-5924)?", "solution_steps": ["Subtract: -8219 - (-5924) = -2295"], "final_answer": "-2295", "answer_type": "integer", "kind": "expression", "math_text": "-8219 - (-5924)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8219, \"b\": -5924}", "seed": "11627453003300800760", "semantic_fingerprint": "sha256:70ae60c88d1b9796a076a7bc1c67fbe6962e7d2d567066a503434e44318fd533", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004495", "prompt": "What value of x satisfies 37(x + 1187) + 28702 = -18x + 64316?", "solution_steps": ["Expand: 37x + 43919 + 28702 = -18x + 64316", "Combine constants: 37x + 72621 = -18x + 64316", "Add 18x to both sides: 55x + 72621 = 64316", "Subtract 72621 from both sides: 55x = -8305", "Divide both sides by 55: x = -151"], "final_answer": "-151", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x + 1187) + 28702 = -18x + 64316", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 1187, \"c\": 28702, \"d\": -18, \"f\": 64316, \"x\": -151}", "seed": "6488876585105091983", "semantic_fingerprint": "sha256:576b92b950e6d4e88e40f8f611e65d16dabbe369e0b43512f70325a65e18efa0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004496", "prompt": "Evaluate: (-4152 - 8097 * (3686 / 2753)) * (-8543 - (-1898))", "solution_steps": ["Divide: 3686 / 2753 = 3686/2753", "Multiply: 8097 * (3686/2753) = 29845542/2753", "Subtract: -4152 - 29845542/2753 = -41275998/2753", "Subtract: -8543 - (-1898) = -6645", "Multiply: (-41275998/2753) * (-6645) = 274279006710/2753"], "final_answer": "274279006710/2753", "answer_type": "rational", "kind": "expression", "math_text": "(-4152 - 8097 * (3686 / 2753)) * (-8543 - (-1898))", "variable": null, "family": "expression_5op", "shape": "(* (- n (* n (/ n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4152, \"b\": 8097, \"c\": 3686, \"d\": 2753, \"e\": -8543, \"f\": -1898}", "seed": "3620268124117008520", "semantic_fingerprint": "sha256:60f9e9192d1cca4b016a10de1ae032fd7bbc5d6ab495340daaee51c5091f5781", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004497", "prompt": "Calculate: -93664 + (-50340 - (-24945)) * (-1469) / (-9176)", "solution_steps": ["Subtract: -50340 - (-24945) = -25395", "Multiply: -25395 * (-1469) = 37305255", "Divide: 37305255 / (-9176) = -37305255/9176", "Add: -93664 + (-37305255/9176) = -896766119/9176"], "final_answer": "-896766119/9176", "answer_type": "rational", "kind": "expression", "math_text": "-93664 + (-50340 - (-24945)) * (-1469) / (-9176)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -93664, \"b\": -50340, \"c\": -24945, \"d\": -1469, \"e\": -9176}", "seed": "6301355073675409534", "semantic_fingerprint": "sha256:3027ea84b680432380d37c566bdfa21d39c90ab228cc0bdb27b74e1ba77aa7e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004498", "prompt": "What is 2640 / 24649?", "solution_steps": ["Divide: 2640 / 24649 = 2640/24649"], "final_answer": "2640/24649", "answer_type": "rational", "kind": "expression", "math_text": "2640 / 24649", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2640, \"b\": 24649}", "seed": "14343264544551547180", "semantic_fingerprint": "sha256:c0280eacd55f44a07eb6673b743b00e4645f95d1ef8bcaa2635907c3ca7646bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004499", "prompt": "Solve the equation x = -20(x + 1138) + 45277 for x.", "solution_steps": ["Expand: x = -20x - 22760 + 45277", "Combine constants: x = -20x + 22517", "Add 20x to both sides: 21x = 22517", "Divide both sides by 21: x = 22517/21"], "final_answer": "22517/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -20(x + 1138) + 45277", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 1138, \"c\": 45277}", "seed": "14757652361006574573", "semantic_fingerprint": "sha256:3dc7c1fa54ff71e77be60e3a3692fd174ff4743018d8f254d00177893e9bf028", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004500", "prompt": "What is 8606 * (-1456 + (-45584 + (-2648) + 44458))?", "solution_steps": ["Add: -45584 + (-2648) = -48232", "Add: -48232 + 44458 = -3774", "Add: -1456 + (-3774) = -5230", "Multiply: 8606 * (-5230) = -45009380"], "final_answer": "-45009380", "answer_type": "integer", "kind": "expression", "math_text": "8606 * (-1456 + (-45584 + (-2648) + 44458))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8606, \"b\": -1456, \"c\": -45584, \"d\": -2648, \"e\": 44458}", "seed": "15713983510093359185", "semantic_fingerprint": "sha256:394412ae4551afdbf4f5f395322d1660ea4c04f3a87dbffdccf67faa666b4706", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004501", "prompt": "Evaluate: -8336 / (-73453 - (-7977) - (-7791 + (-29459))) + (-21895)", "solution_steps": ["Subtract: -73453 - (-7977) = -65476", "Add: -7791 + (-29459) = -37250", "Subtract: -65476 - (-37250) = -28226", "Divide: -8336 / (-28226) = 4168/14113", "Add: 4168/14113 + (-21895) = -308999967/14113"], "final_answer": "-308999967/14113", "answer_type": "rational", "kind": "expression", "math_text": "-8336 / (-73453 - (-7977) - (-7791 + (-29459))) + (-21895)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- (- n n) (+ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8336, \"b\": -73453, \"c\": -7977, \"d\": -7791, \"e\": -29459, \"f\": -21895}", "seed": "3369048232902512381", "semantic_fingerprint": "sha256:1d28e55add2e57fbcc5782de6dc43b204c0634741a9ae14cf872cabee321e197", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004502", "prompt": "Compute: -9439 / 1006 - (-1601 + 16098)", "solution_steps": ["Divide: -9439 / 1006 = -9439/1006", "Add: -1601 + 16098 = 14497", "Subtract: -9439/1006 - 14497 = -14593421/1006"], "final_answer": "-14593421/1006", "answer_type": "rational", "kind": "expression", "math_text": "-9439 / 1006 - (-1601 + 16098)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9439, \"b\": 1006, \"c\": -1601, \"d\": 16098}", "seed": "11609666548116161614", "semantic_fingerprint": "sha256:670da1cd4941dd96415585a65fafbf1d6a8564faa09da2e871c56f8a5eabd6b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004503", "prompt": "What is -9373 / (4813 - 57191 - 4550 + (-9881) - 4367)?", "solution_steps": ["Subtract: 4813 - 57191 = -52378", "Subtract: -52378 - 4550 = -56928", "Add: -56928 + (-9881) = -66809", "Subtract: -66809 - 4367 = -71176", "Divide: -9373 / (-71176) = 1339/10168"], "final_answer": "1339/10168", "answer_type": "rational", "kind": "expression", "math_text": "-9373 / (4813 - 57191 - 4550 + (-9881) - 4367)", "variable": null, "family": "expression_5op", "shape": "(/ n (- (+ (- (- n n) n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9373, \"b\": 4813, \"c\": 57191, \"d\": 4550, \"e\": -9881, \"f\": 4367}", "seed": "5264278196138979816", "semantic_fingerprint": "sha256:50d196bf5c64a807d78979f1c7307ed8deecef0ac0406f81baca7bc2b8f76c6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004504", "prompt": "What value of x satisfies 40(x - 8678) - 16536 = 39x - 6702?", "solution_steps": ["Expand: 40x - 347120 - 16536 = 39x - 6702", "Combine constants: 40x - 363656 = 39x - 6702", "Subtract 39x from both sides: x - 363656 = -6702", "Add 363656 to both sides: x = 356954"], "final_answer": "356954", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 8678) - 16536 = 39x - 6702", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 8678, \"c\": 16536, \"d\": 39, \"e\": 6702}", "seed": "16065009715597705111", "semantic_fingerprint": "sha256:3792ee22b9a6b7de78843da06b10f5d07d5292f8e048376783779c6ba90fdcf6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004505", "prompt": "What is -12740 * 7246 - (-2562)?", "solution_steps": ["Multiply: -12740 * 7246 = -92314040", "Subtract: -92314040 - (-2562) = -92311478"], "final_answer": "-92311478", "answer_type": "integer", "kind": "expression", "math_text": "-12740 * 7246 - (-2562)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12740, \"b\": 7246, \"c\": -2562}", "seed": "10991158489940887375", "semantic_fingerprint": "sha256:3cfdf8840d3bed1a5a76d7767c3ac2f0d1e35481591d6c94c0cdd151d41eef96", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004506", "prompt": "Evaluate: 5420 - 18028", "solution_steps": ["Subtract: 5420 - 18028 = -12608"], "final_answer": "-12608", "answer_type": "integer", "kind": "expression", "math_text": "5420 - 18028", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5420, \"b\": 18028}", "seed": "14083286616226297518", "semantic_fingerprint": "sha256:d4253a7189400ef15ba96f907e9dee12edc053f89ca940974bd80aeaf9951ec0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004507", "prompt": "Evaluate: -37432 / (17576 - (-6546))", "solution_steps": ["Subtract: 17576 - (-6546) = 24122", "Divide: -37432 / 24122 = -18716/12061"], "final_answer": "-18716/12061", "answer_type": "rational", "kind": "expression", "math_text": "-37432 / (17576 - (-6546))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37432, \"b\": 17576, \"c\": -6546}", "seed": "17981549307781022281", "semantic_fingerprint": "sha256:b6868b9c701c4145fd656b7c97adfa714ea2fa49d9a149e3d8e8fd918c29e66c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004508", "prompt": "What is 7114 / (-5917) * (-71048 - (-99259)) + (-57764)?", "solution_steps": ["Divide: 7114 / (-5917) = -7114/5917", "Subtract: -71048 - (-99259) = 28211", "Multiply: (-7114/5917) * 28211 = -200693054/5917", "Add: -200693054/5917 + (-57764) = -542482642/5917"], "final_answer": "-542482642/5917", "answer_type": "rational", "kind": "expression", "math_text": "7114 / (-5917) * (-71048 - (-99259)) + (-57764)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7114, \"b\": -5917, \"c\": -71048, \"d\": -99259, \"e\": -57764}", "seed": "17369294070781708610", "semantic_fingerprint": "sha256:5326f5b4b2dc61b096631ea88a69daec372e38ddeb5994fc41e558bb9473cf83", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004509", "prompt": "Calculate: 2573 - 9064", "solution_steps": ["Subtract: 2573 - 9064 = -6491"], "final_answer": "-6491", "answer_type": "integer", "kind": "expression", "math_text": "2573 - 9064", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2573, \"b\": 9064}", "seed": "1055513389371525900", "semantic_fingerprint": "sha256:a2a136a52d22838646866ff71375d5fbe5f96a06cbfdd1709e263bedbbf93554", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004510", "prompt": "Compute: 8429 + (-2944) + 9069", "solution_steps": ["Add: 8429 + (-2944) = 5485", "Add: 5485 + 9069 = 14554"], "final_answer": "14554", "answer_type": "integer", "kind": "expression", "math_text": "8429 + (-2944) + 9069", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8429, \"b\": -2944, \"c\": 9069}", "seed": "3036783736252961020", "semantic_fingerprint": "sha256:6ccfb314ff9e1e74e6d537f2643c61dd3b9ea74eea0c83d574082569d41d85c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004511", "prompt": "Compute: -70534 - (9022 + (89162 + 1949) * (-36518))", "solution_steps": ["Add: 89162 + 1949 = 91111", "Multiply: 91111 * (-36518) = -3327191498", "Add: 9022 + (-3327191498) = -3327182476", "Subtract: -70534 - (-3327182476) = 3327111942"], "final_answer": "3327111942", "answer_type": "integer", "kind": "expression", "math_text": "-70534 - (9022 + (89162 + 1949) * (-36518))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -70534, \"b\": 9022, \"c\": 89162, \"d\": 1949, \"e\": -36518}", "seed": "6273668832877829763", "semantic_fingerprint": "sha256:92a8630a61f0281ff61ea92ed49ca8d16910ca24cad64812684080900825b761", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004512", "prompt": "Solve the equation 19x - 4257 = x + 2487 for x.", "solution_steps": ["Subtract x from both sides: 18x - 4257 = 2487", "Add 4257 to both sides: 18x = 6744", "Divide both sides by 18: x = 1124/3"], "final_answer": "1124/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x - 4257 = x + 2487", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 4257, \"c\": 2487}", "seed": "14812004082142708194", "semantic_fingerprint": "sha256:2fe9d7f662ba60726783f618267e48920c489114eef5dd5868e5e596a3eb23fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004513", "prompt": "What value of x satisfies -14(x - 2271) - 32594 = 40x - 2967?", "solution_steps": ["Expand: -14x + 31794 - 32594 = 40x - 2967", "Combine constants: -14x - 800 = 40x - 2967", "Subtract 40x from both sides: -54x - 800 = -2967", "Add 800 to both sides: -54x = -2167", "Divide both sides by -54: x = 2167/54"], "final_answer": "2167/54", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x - 2271) - 32594 = 40x - 2967", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 2271, \"c\": 32594, \"d\": 40, \"e\": 2967}", "seed": "3088239705631086299", "semantic_fingerprint": "sha256:35cdf2a298bb89b6236db3f2f694d2bcbd823a0348a554e2a2f04d30a75bda15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004514", "prompt": "Solve the equation 26(x - 2243) + 6938 = -17x - 49875 for x.", "solution_steps": ["Expand: 26x - 58318 + 6938 = -17x - 49875", "Combine constants: 26x - 51380 = -17x - 49875", "Add 17x to both sides: 43x - 51380 = -49875", "Add 51380 to both sides: 43x = 1505", "Divide both sides by 43: x = 35"], "final_answer": "35", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x - 2243) + 6938 = -17x - 49875", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2243, \"c\": 6938, \"d\": -17, \"f\": -49875, \"x\": 35}", "seed": "14308019975927556769", "semantic_fingerprint": "sha256:c826b507f9d75e3999a6e8e88ffd277a517603786a3ea54c70c70c413c207b43", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004515", "prompt": "Calculate: (-6747 - (-1218)) / (-81905)", "solution_steps": ["Subtract: -6747 - (-1218) = -5529", "Divide: -5529 / (-81905) = 5529/81905"], "final_answer": "5529/81905", "answer_type": "rational", "kind": "expression", "math_text": "(-6747 - (-1218)) / (-81905)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6747, \"b\": -1218, \"c\": -81905}", "seed": "6104069968640867872", "semantic_fingerprint": "sha256:079555769e0228df772c8a2636f1c81053348a526d972776ac995110e530a7e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004516", "prompt": "Solve for x: x + 7201 = 7011", "solution_steps": ["Subtract 7201 from both sides: x = -190"], "final_answer": "-190", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7201 = 7011", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7201, \"c\": 7011, \"x\": -190}", "seed": "16888459142892612977", "semantic_fingerprint": "sha256:e96a1a43909cd322c139b373f218553668ad4c9460616fcfe4a10c7dcbf5560f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004517", "prompt": "What value of x satisfies 21(x - 4493) + 52254 = -27x - 43587?", "solution_steps": ["Expand: 21x - 94353 + 52254 = -27x - 43587", "Combine constants: 21x - 42099 = -27x - 43587", "Add 27x to both sides: 48x - 42099 = -43587", "Add 42099 to both sides: 48x = -1488", "Divide both sides by 48: x = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x - 4493) + 52254 = -27x - 43587", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4493, \"c\": 52254, \"d\": -27, \"f\": -43587, \"x\": -31}", "seed": "1698097048571398134", "semantic_fingerprint": "sha256:85561c7ba5c9f7f948bba96e75af6a541ce4c065db7e67738f5e802ac270a961", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004518", "prompt": "Calculate: -3136 + (-78110 - (-2046) - 3129 / (-23779 / 4333))", "solution_steps": ["Subtract: -78110 - (-2046) = -76064", "Divide: -23779 / 4333 = -3397/619", "Divide: 3129 / (-3397/619) = -1936851/3397", "Subtract: -76064 - (-1936851/3397) = -256452557/3397", "Add: -3136 + (-256452557/3397) = -267105549/3397"], "final_answer": "-267105549/3397", "answer_type": "rational", "kind": "expression", "math_text": "-3136 + (-78110 - (-2046) - 3129 / (-23779 / 4333))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- n n) (/ n (/ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3136, \"b\": -78110, \"c\": -2046, \"d\": 3129, \"e\": -23779, \"f\": 4333}", "seed": "406045151600373549", "semantic_fingerprint": "sha256:f44fc9bf196f11b80c55bde3ab471cde3883286469d1a51f7f14484ac5264a3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004519", "prompt": "Compute: (2109 + 8123) / 3398", "solution_steps": ["Add: 2109 + 8123 = 10232", "Divide: 10232 / 3398 = 5116/1699"], "final_answer": "5116/1699", "answer_type": "rational", "kind": "expression", "math_text": "(2109 + 8123) / 3398", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2109, \"b\": 8123, \"c\": 3398}", "seed": "12892823292357417164", "semantic_fingerprint": "sha256:290ac0a9b978015b57e942dc04a4832f3411e3017e9d5f1dd7c3f7a7690dfad4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004520", "prompt": "Find x: 39(x - 2445) + 2345 = x - 2934", "solution_steps": ["Expand: 39x - 95355 + 2345 = x - 2934", "Combine constants: 39x - 93010 = x - 2934", "Subtract x from both sides: 38x - 93010 = -2934", "Add 93010 to both sides: 38x = 90076", "Divide both sides by 38: x = 45038/19"], "final_answer": "45038/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 2445) + 2345 = x - 2934", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 2445, \"c\": 2345, \"d\": 2934}", "seed": "14247345825325116438", "semantic_fingerprint": "sha256:04df3e7ba759e392581bd918e736b1780b7acf2f536d1c3483ab366973545776", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004521", "prompt": "Solve the equation 16(x + 5175) = -33x + 11325 for x.", "solution_steps": ["Expand: 16x + 82800 = -33x + 11325", "Add 33x to both sides: 49x + 82800 = 11325", "Subtract 82800 from both sides: 49x = -71475", "Divide both sides by 49: x = -71475/49"], "final_answer": "-71475/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 5175) = -33x + 11325", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5175, \"c\": -33, \"d\": 11325}", "seed": "14349747147787667109", "semantic_fingerprint": "sha256:930826cd702340a17eeaf6a272dfc732260c89fc602a3fd93c35981039840d63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004522", "prompt": "Find x: 15x + 1644 = 16x + 23961", "solution_steps": ["Subtract 16x from both sides: -x + 1644 = 23961", "Subtract 1644 from both sides: -x = 22317", "Divide both sides by -1: x = -22317"], "final_answer": "-22317", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x + 1644 = 16x + 23961", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 1644, \"c\": 16, \"d\": 23961}", "seed": "1867166647255630686", "semantic_fingerprint": "sha256:d00a0ae991e685457d3c3c8646c26a8e3ab3dee2da4bf5cf59f1cecf8f5cf7b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004523", "prompt": "Evaluate: 6453 - (-3043)", "solution_steps": ["Subtract: 6453 - (-3043) = 9496"], "final_answer": "9496", "answer_type": "integer", "kind": "expression", "math_text": "6453 - (-3043)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6453, \"b\": -3043}", "seed": "12195076048107221411", "semantic_fingerprint": "sha256:e38d13e5583c378ae0f97e615250a55d9c46c9c1e96ba961a3daba7a27650921", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004524", "prompt": "Solve the equation 30(x + 7588) + 59668 = -44995 for x.", "solution_steps": ["Expand: 30x + 227640 + 59668 = -44995", "Combine constants: 30x + 287308 = -44995", "Subtract 287308 from both sides: 30x = -332303", "Divide both sides by 30: x = -332303/30"], "final_answer": "-332303/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x + 7588) + 59668 = -44995", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 7588, \"c\": 59668, \"d\": -44995}", "seed": "6610479242526626989", "semantic_fingerprint": "sha256:268a5a0db30d61f9706cb54b219015747829bcf3df193056674e37ed6d734846", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004525", "prompt": "Find x: 28(x + 1116) - 3239 = -39x + 22113", "solution_steps": ["Expand: 28x + 31248 - 3239 = -39x + 22113", "Combine constants: 28x + 28009 = -39x + 22113", "Add 39x to both sides: 67x + 28009 = 22113", "Subtract 28009 from both sides: 67x = -5896", "Divide both sides by 67: x = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 1116) - 3239 = -39x + 22113", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1116, \"c\": 3239, \"d\": -39, \"f\": 22113, \"x\": -88}", "seed": "5785040412265037910", "semantic_fingerprint": "sha256:d7ade328287361f919f12ba774de878f4273cd7faf2b6f78a8a5c4b1f5f2900a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004526", "prompt": "Solve for x: 17(x - 2544) = 26(x + 2966) - 22356", "solution_steps": ["Expand: 17x - 43248 = 26(x + 2966) - 22356", "Expand: 17x - 43248 = 26x + 77116 - 22356", "Combine constants: 17x - 43248 = 26x + 54760", "Subtract 26x from both sides: -9x - 43248 = 54760", "Add 43248 to both sides: -9x = 98008", "Divide both sides by -9: x = -98008/9"], "final_answer": "-98008/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 2544) = 26(x + 2966) - 22356", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 2544, \"c\": 26, \"d\": 2966, \"e\": 22356}", "seed": "11657820457758245494", "semantic_fingerprint": "sha256:022fd999de31c2e38d66a22a4127821d85e6a1a2a01d4aa9dfe68e03e3ed6f52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004527", "prompt": "Compute: 8084 + (-1893 * 3425 - (7746 - (-4096 + (-6328))))", "solution_steps": ["Multiply: -1893 * 3425 = -6483525", "Add: -4096 + (-6328) = -10424", "Subtract: 7746 - (-10424) = 18170", "Subtract: -6483525 - 18170 = -6501695", "Add: 8084 + (-6501695) = -6493611"], "final_answer": "-6493611", "answer_type": "integer", "kind": "expression", "math_text": "8084 + (-1893 * 3425 - (7746 - (-4096 + (-6328))))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* n n) (- n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8084, \"b\": -1893, \"c\": 3425, \"d\": 7746, \"e\": -4096, \"f\": -6328}", "seed": "16470156575280099486", "semantic_fingerprint": "sha256:404375ec5a7bb4b3dcae30deb28b00093df7716b40cc7116627a69b85b0386c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004528", "prompt": "Evaluate: -7218 / (-9593) * 58863", "solution_steps": ["Divide: -7218 / (-9593) = 7218/9593", "Multiply: (7218/9593) * 58863 = 424873134/9593"], "final_answer": "424873134/9593", "answer_type": "rational", "kind": "expression", "math_text": "-7218 / (-9593) * 58863", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7218, \"b\": -9593, \"c\": 58863}", "seed": "1151160542010813506", "semantic_fingerprint": "sha256:76d76063be75aab44c0a3e73c0dc6985468d024d332ba42d285a90aedde48699", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004529", "prompt": "Evaluate: -3177 - (-1575) - 9638 * (71798 - (-7384))", "solution_steps": ["Subtract: -3177 - (-1575) = -1602", "Subtract: 71798 - (-7384) = 79182", "Multiply: 9638 * 79182 = 763156116", "Subtract: -1602 - 763156116 = -763157718"], "final_answer": "-763157718", "answer_type": "integer", "kind": "expression", "math_text": "-3177 - (-1575) - 9638 * (71798 - (-7384))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3177, \"b\": -1575, \"c\": 9638, \"d\": 71798, \"e\": -7384}", "seed": "6731731521053193751", "semantic_fingerprint": "sha256:516592a9bf776a1be5f176c89fbe8d9b42fd6830d619554e3b1ea9a4f3cd530d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004530", "prompt": "Evaluate: 74985 * 13389", "solution_steps": ["Multiply: 74985 * 13389 = 1003974165"], "final_answer": "1003974165", "answer_type": "integer", "kind": "expression", "math_text": "74985 * 13389", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 74985, \"b\": 13389}", "seed": "13286218891717660321", "semantic_fingerprint": "sha256:9629c6b6c88f204fe27f26e4fadd991eae4ac6fc2d017852f8b275cd80b3653f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004531", "prompt": "Calculate: 31640 / ((-27942 + (-1276)) / (-33169)) - (-2623) * 6709", "solution_steps": ["Add: -27942 + (-1276) = -29218", "Divide: -29218 / (-33169) = 29218/33169", "Divide: 31640 / (29218/33169) = 74961940/2087", "Multiply: -2623 * 6709 = -17597707", "Subtract: 74961940/2087 - (-17597707) = 36801376449/2087"], "final_answer": "36801376449/2087", "answer_type": "rational", "kind": "expression", "math_text": "31640 / ((-27942 + (-1276)) / (-33169)) - (-2623) * 6709", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31640, \"b\": -27942, \"c\": -1276, \"d\": -33169, \"e\": -2623, \"f\": 6709}", "seed": "3087133706598814381", "semantic_fingerprint": "sha256:e3d1c4a120f42dd39500cbef601e145f38802ae3611c98ea5dd5e205052e3e5b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004532", "prompt": "What value of x satisfies x = 15(x + 7692) - 43829?", "solution_steps": ["Expand: x = 15x + 115380 - 43829", "Combine constants: x = 15x + 71551", "Subtract 15x from both sides: -14x = 71551", "Divide both sides by -14: x = -71551/14"], "final_answer": "-71551/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 15(x + 7692) - 43829", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 7692, \"c\": 43829}", "seed": "1623867411145717892", "semantic_fingerprint": "sha256:adb0822775ba65beb56cd2ef0384a4842f6a5a05ebe6655663d9a0cd723d455e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004533", "prompt": "Solve for x: -13x - 76399 = -22(x - 8624) - 26719", "solution_steps": ["Expand: -13x - 76399 = -22x + 189728 - 26719", "Combine constants: -13x - 76399 = -22x + 163009", "Add 22x to both sides: 9x - 76399 = 163009", "Add 76399 to both sides: 9x = 239408", "Divide both sides by 9: x = 239408/9"], "final_answer": "239408/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x - 76399 = -22(x - 8624) - 26719", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 76399, \"c\": -22, \"d\": 8624, \"e\": 26719}", "seed": "16220989124881732680", "semantic_fingerprint": "sha256:8351dfb3ec5756533ff7ea9101d2dca60680a40ef466a5ca178076a87fd5b24e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004534", "prompt": "Compute: -6249 / (-6615)", "solution_steps": ["Divide: -6249 / (-6615) = 2083/2205"], "final_answer": "2083/2205", "answer_type": "rational", "kind": "expression", "math_text": "-6249 / (-6615)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6249, \"b\": -6615}", "seed": "16749062494815969786", "semantic_fingerprint": "sha256:108a3cb5107f0c564833b60de5fb1b358599ef55e9936887c34149d19e73e95a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004535", "prompt": "Find x: -16x + 8749 = -74155", "solution_steps": ["Subtract 8749 from both sides: -16x = -82904", "Divide both sides by -16: x = 10363/2"], "final_answer": "10363/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16x + 8749 = -74155", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 8749, \"c\": -74155}", "seed": "13263892935754680090", "semantic_fingerprint": "sha256:6f01bdc64120bc53413a6e238d43b49dd0e33b3d73b50f56a57555b9b07a94f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004536", "prompt": "Find x: 28x + 9536 = 21(x + 2619) - 44147", "solution_steps": ["Expand: 28x + 9536 = 21x + 54999 - 44147", "Combine constants: 28x + 9536 = 21x + 10852", "Subtract 21x from both sides: 7x + 9536 = 10852", "Subtract 9536 from both sides: 7x = 1316", "Divide both sides by 7: x = 188"], "final_answer": "188", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 9536 = 21(x + 2619) - 44147", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 9536, \"c\": 21, \"d\": 2619, \"f\": -44147, \"x\": 188}", "seed": "902173258715567626", "semantic_fingerprint": "sha256:d0deda6c93eb993581e69ac6097eed395f1d17a40db3ab41273060797a18e14a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004537", "prompt": "Solve the equation 17(x - 52204) = x for x.", "solution_steps": ["Expand: 17x - 887468 = x", "Subtract x from both sides: 16x - 887468 = 0", "Add 887468 to both sides: 16x = 887468", "Divide both sides by 16: x = 221867/4"], "final_answer": "221867/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 52204) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 52204}", "seed": "13529442308813871080", "semantic_fingerprint": "sha256:4e3870cb2abfb96373fee5b0634071d278ccc980dd60e7d7a076807d49177f14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004538", "prompt": "Evaluate: 8144 + 7942 - (-80528)", "solution_steps": ["Add: 8144 + 7942 = 16086", "Subtract: 16086 - (-80528) = 96614"], "final_answer": "96614", "answer_type": "integer", "kind": "expression", "math_text": "8144 + 7942 - (-80528)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8144, \"b\": 7942, \"c\": -80528}", "seed": "12477314250821997354", "semantic_fingerprint": "sha256:490289501871e10d577cc39734705e3098f3210ceec8ec2846afbb2adcb51471", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004539", "prompt": "Evaluate: -1307 - (-9869 - (5029 - (-8484)) / 4809)", "solution_steps": ["Subtract: 5029 - (-8484) = 13513", "Divide: 13513 / 4809 = 13513/4809", "Subtract: -9869 - 13513/4809 = -47473534/4809", "Subtract: -1307 - (-47473534/4809) = 41188171/4809"], "final_answer": "41188171/4809", "answer_type": "rational", "kind": "expression", "math_text": "-1307 - (-9869 - (5029 - (-8484)) / 4809)", "variable": null, "family": "expression_4op", "shape": "(- n (- n (/ (- n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1307, \"b\": -9869, \"c\": 5029, \"d\": -8484, \"e\": 4809}", "seed": "18382393822919221064", "semantic_fingerprint": "sha256:7f98835a9798023b8da768f22d86028efbcd3887ad2a75e39abebec441430408", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004540", "prompt": "Compute: -2411 * (-37188) - (-2509) / 3131", "solution_steps": ["Multiply: -2411 * (-37188) = 89660268", "Divide: -2509 / 3131 = -2509/3131", "Subtract: 89660268 - (-2509/3131) = 280726301617/3131"], "final_answer": "280726301617/3131", "answer_type": "rational", "kind": "expression", "math_text": "-2411 * (-37188) - (-2509) / 3131", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2411, \"b\": -37188, \"c\": -2509, \"d\": 3131}", "seed": "6908952898572915162", "semantic_fingerprint": "sha256:7ed08cc6f95bb7a179fb84ac36cbaea9c0c0c26504ea0bf72d45b639d97862a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004541", "prompt": "Solve the equation 34x + 5310 = 38x for x.", "solution_steps": ["Subtract 38x from both sides: -4x + 5310 = 0", "Subtract 5310 from both sides: -4x = -5310", "Divide both sides by -4: x = 2655/2"], "final_answer": "2655/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x + 5310 = 38x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 5310, \"c\": 38}", "seed": "14414623777132234518", "semantic_fingerprint": "sha256:0bcd8b3c25de0e107bccd4ddb9df1c3f1c1e3b5f4c94f640a362d34fbef446a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004542", "prompt": "What is -97844 - 40922 * 1820?", "solution_steps": ["Multiply: 40922 * 1820 = 74478040", "Subtract: -97844 - 74478040 = -74575884"], "final_answer": "-74575884", "answer_type": "integer", "kind": "expression", "math_text": "-97844 - 40922 * 1820", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97844, \"b\": 40922, \"c\": 1820}", "seed": "7077832795984031506", "semantic_fingerprint": "sha256:99efba406f799416d448d44eed2fe5161167362612657db711cd5508783f793b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004543", "prompt": "Compute: 8510 * (-38016) - (-26521)", "solution_steps": ["Multiply: 8510 * (-38016) = -323516160", "Subtract: -323516160 - (-26521) = -323489639"], "final_answer": "-323489639", "answer_type": "integer", "kind": "expression", "math_text": "8510 * (-38016) - (-26521)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8510, \"b\": -38016, \"c\": -26521}", "seed": "8113087440615783769", "semantic_fingerprint": "sha256:ec318ca98d622c16fa8763bff461f1d6b0965a27f2d2563bbc4b69e7555b4506", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004544", "prompt": "Compute: -33338 - (-9255) + (-1580 - 2177)", "solution_steps": ["Subtract: -33338 - (-9255) = -24083", "Subtract: -1580 - 2177 = -3757", "Add: -24083 + (-3757) = -27840"], "final_answer": "-27840", "answer_type": "integer", "kind": "expression", "math_text": "-33338 - (-9255) + (-1580 - 2177)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33338, \"b\": -9255, \"c\": -1580, \"d\": 2177}", "seed": "6091046548952098295", "semantic_fingerprint": "sha256:05bef15a1eb296f3c54b6164382ddda835acea895b5ed60908dc1906efb3bb7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004545", "prompt": "What value of x satisfies x + 8531 = 8456?", "solution_steps": ["Subtract 8531 from both sides: x = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8531 = 8456", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8531, \"c\": 8456, \"x\": -75}", "seed": "7090178221856625228", "semantic_fingerprint": "sha256:b1d446b30e4c9263a0ca407f83ae4c2ed45b91a5c4c7d4a18391ea54b6766b80", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004546", "prompt": "What is (26017 - (-1492) * 6005) * (18090 - (-1824))?", "solution_steps": ["Multiply: -1492 * 6005 = -8959460", "Subtract: 26017 - (-8959460) = 8985477", "Subtract: 18090 - (-1824) = 19914", "Multiply: 8985477 * 19914 = 178936788978"], "final_answer": "178936788978", "answer_type": "integer", "kind": "expression", "math_text": "(26017 - (-1492) * 6005) * (18090 - (-1824))", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26017, \"b\": -1492, \"c\": 6005, \"d\": 18090, \"e\": -1824}", "seed": "10484320943932251810", "semantic_fingerprint": "sha256:ae90e15575ec5abd4ee9c9eba6fe4476db5f35562443777c10533be9d9184b7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004547", "prompt": "Compute: (-6736 - 40656) / 48906 + 9024 - (-4704)", "solution_steps": ["Subtract: -6736 - 40656 = -47392", "Divide: -47392 / 48906 = -23696/24453", "Add: -23696/24453 + 9024 = 220640176/24453", "Subtract: 220640176/24453 - (-4704) = 335667088/24453"], "final_answer": "335667088/24453", "answer_type": "rational", "kind": "expression", "math_text": "(-6736 - 40656) / 48906 + 9024 - (-4704)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6736, \"b\": 40656, \"c\": 48906, \"d\": 9024, \"e\": -4704}", "seed": "6482599168334848453", "semantic_fingerprint": "sha256:7cc709533590cc0fd243a5b527a2ace5713ccee03dbc81a6bb934a7073213c40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004548", "prompt": "What is (-3241 + 85899 + 4730) / (-6843) * (-4113)?", "solution_steps": ["Add: -3241 + 85899 = 82658", "Add: 82658 + 4730 = 87388", "Divide: 87388 / (-6843) = -87388/6843", "Multiply: (-87388/6843) * (-4113) = 119808948/2281"], "final_answer": "119808948/2281", "answer_type": "rational", "kind": "expression", "math_text": "(-3241 + 85899 + 4730) / (-6843) * (-4113)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3241, \"b\": 85899, \"c\": 4730, \"d\": -6843, \"e\": -4113}", "seed": "14238244326330684883", "semantic_fingerprint": "sha256:22affe4adfaabf3d6ad752da2cf6e3cc7ddb5b6b66780b5c0adcd5d9ea731bb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004549", "prompt": "Compute: -65663 / 4941", "solution_steps": ["Divide: -65663 / 4941 = -65663/4941"], "final_answer": "-65663/4941", "answer_type": "rational", "kind": "expression", "math_text": "-65663 / 4941", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -65663, \"b\": 4941}", "seed": "1759077061715769188", "semantic_fingerprint": "sha256:1d7abd9e266030c2335320f91b2db28cce742fb23423dbe7df93c9358eb01c16", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004550", "prompt": "Calculate: 73406 - (-44774)", "solution_steps": ["Subtract: 73406 - (-44774) = 118180"], "final_answer": "118180", "answer_type": "integer", "kind": "expression", "math_text": "73406 - (-44774)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 73406, \"b\": -44774}", "seed": "7225554787152515676", "semantic_fingerprint": "sha256:32a6b70c9bbe900aa6004b6ab7c3d899b33e3147d2ce79249454d31c43ebd73c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004551", "prompt": "Evaluate: (-3742 - (-96214)) * 75904", "solution_steps": ["Subtract: -3742 - (-96214) = 92472", "Multiply: 92472 * 75904 = 7018994688"], "final_answer": "7018994688", "answer_type": "integer", "kind": "expression", "math_text": "(-3742 - (-96214)) * 75904", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3742, \"b\": -96214, \"c\": 75904}", "seed": "9576878497158889256", "semantic_fingerprint": "sha256:ac3710732346e9a8a33e98386ec35eb852679f7378ce77049b90d060ea7d4d00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004552", "prompt": "Find x: 31(x - 3341) + 64249 = 19(x - 6656) + 85594", "solution_steps": ["Expand: 31x - 103571 + 64249 = 19(x - 6656) + 85594", "Expand: 31x - 103571 + 64249 = 19x - 126464 + 85594", "Combine constants: 31x - 39322 = 19x - 126464 + 85594", "Combine constants: 31x - 39322 = 19x - 40870", "Subtract 19x from both sides: 12x - 39322 = -40870", "Add 39322 to both sides: 12x = -1548", "Divide both sides by 12: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x - 3341) + 64249 = 19(x - 6656) + 85594", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 3341, \"c\": 64249, \"d\": 19, \"e\": 6656, \"g\": 85594, \"x\": -129}", "seed": "15140635894091025693", "semantic_fingerprint": "sha256:a0def5f9087ce52e3f3501fdd849505a8bab21eea5c6fcb32d8201f3a97ba694", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004553", "prompt": "What is -93535 / (-8415)?", "solution_steps": ["Divide: -93535 / (-8415) = 18707/1683"], "final_answer": "18707/1683", "answer_type": "rational", "kind": "expression", "math_text": "-93535 / (-8415)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -93535, \"b\": -8415}", "seed": "14927666132066816869", "semantic_fingerprint": "sha256:eca8ffb1e84238944cc09aedb32df95b982d210080816970bac7b78ade90e4a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004554", "prompt": "Calculate: -86358 + (-9576)", "solution_steps": ["Add: -86358 + (-9576) = -95934"], "final_answer": "-95934", "answer_type": "integer", "kind": "expression", "math_text": "-86358 + (-9576)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86358, \"b\": -9576}", "seed": "13340587681607376410", "semantic_fingerprint": "sha256:b8fd60397bb5db8e0544537efeb526d8a62f07bceeac7d0f4d333b034f08ab82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004555", "prompt": "Compute: -70399 + (-6897) * (-71995)", "solution_steps": ["Multiply: -6897 * (-71995) = 496549515", "Add: -70399 + 496549515 = 496479116"], "final_answer": "496479116", "answer_type": "integer", "kind": "expression", "math_text": "-70399 + (-6897) * (-71995)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -70399, \"b\": -6897, \"c\": -71995}", "seed": "13298509935011423879", "semantic_fingerprint": "sha256:62e6b987e089296376dccd48d74a040c15f5093a8f08c6ca3a636136e28a48f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004556", "prompt": "Solve for x: 38(x + 4502) = x", "solution_steps": ["Expand: 38x + 171076 = x", "Subtract x from both sides: 37x + 171076 = 0", "Subtract 171076 from both sides: 37x = -171076", "Divide both sides by 37: x = -171076/37"], "final_answer": "-171076/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 4502) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 4502}", "seed": "16833686785033318572", "semantic_fingerprint": "sha256:9c701317183d00ced275ac4670ca82ea3e30abaae910e5e74a97285fe6eadd27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004557", "prompt": "Compute: -9715 - 6060", "solution_steps": ["Subtract: -9715 - 6060 = -15775"], "final_answer": "-15775", "answer_type": "integer", "kind": "expression", "math_text": "-9715 - 6060", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9715, \"b\": 6060}", "seed": "2120829189954175285", "semantic_fingerprint": "sha256:2f0acf738676bfcd85bf9d06b9428d58a1992b3687b840c1125703ef1c3cc2f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004558", "prompt": "What is 37943 + (-62890) * (-10792 + (-99584))?", "solution_steps": ["Add: -10792 + (-99584) = -110376", "Multiply: -62890 * (-110376) = 6941546640", "Add: 37943 + 6941546640 = 6941584583"], "final_answer": "6941584583", "answer_type": "integer", "kind": "expression", "math_text": "37943 + (-62890) * (-10792 + (-99584))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37943, \"b\": -62890, \"c\": -10792, \"d\": -99584}", "seed": "11875823841557328899", "semantic_fingerprint": "sha256:13efdaea28c206b2b521db07dfb25025e9c0423135b0c92ab6a46379844cc8f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004559", "prompt": "Solve for x: 40(x - 77494) + 2404 = -7409", "solution_steps": ["Expand: 40x - 3099760 + 2404 = -7409", "Combine constants: 40x - 3097356 = -7409", "Add 3097356 to both sides: 40x = 3089947", "Divide both sides by 40: x = 3089947/40"], "final_answer": "3089947/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 77494) + 2404 = -7409", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 77494, \"c\": 2404, \"d\": -7409}", "seed": "11592630216923186084", "semantic_fingerprint": "sha256:c02e410f83acfbd898b0a6042ca2a3bb12a8ac32ce3c064e1c6ab69d59279730", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004560", "prompt": "Compute: -1820 * (9559 - 5952 / (-97575))", "solution_steps": ["Divide: 5952 / (-97575) = -1984/32525", "Subtract: 9559 - (-1984/32525) = 310908459/32525", "Multiply: -1820 * (310908459/32525) = -113170679076/6505"], "final_answer": "-113170679076/6505", "answer_type": "rational", "kind": "expression", "math_text": "-1820 * (9559 - 5952 / (-97575))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1820, \"b\": 9559, \"c\": 5952, \"d\": -97575}", "seed": "7657550476251563112", "semantic_fingerprint": "sha256:9fc70c8ae5c46a9c59e9fae2a107db37473144907f58679b9406309c0a928066", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004561", "prompt": "What is -7089 + (-8093 + 32894) + 6915?", "solution_steps": ["Add: -8093 + 32894 = 24801", "Add: -7089 + 24801 = 17712", "Add: 17712 + 6915 = 24627"], "final_answer": "24627", "answer_type": "integer", "kind": "expression", "math_text": "-7089 + (-8093 + 32894) + 6915", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7089, \"b\": -8093, \"c\": 32894, \"d\": 6915}", "seed": "11760130565845909793", "semantic_fingerprint": "sha256:87245412954232113920ebac99e86346f42afb30ce53a2e4aece7294a4e11315", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004562", "prompt": "Evaluate: -4335 * (-2871) - (-3728)", "solution_steps": ["Multiply: -4335 * (-2871) = 12445785", "Subtract: 12445785 - (-3728) = 12449513"], "final_answer": "12449513", "answer_type": "integer", "kind": "expression", "math_text": "-4335 * (-2871) - (-3728)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4335, \"b\": -2871, \"c\": -3728}", "seed": "18400757281408614985", "semantic_fingerprint": "sha256:e34ecce3a98020212fc7a4c71e42c40ab87f85d5e5b2750e611be9e28c838040", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004563", "prompt": "Calculate: (-24608 - 5486 + 5650) * 1264 + 13074 * (-37623)", "solution_steps": ["Subtract: -24608 - 5486 = -30094", "Add: -30094 + 5650 = -24444", "Multiply: -24444 * 1264 = -30897216", "Multiply: 13074 * (-37623) = -491883102", "Add: -30897216 + (-491883102) = -522780318"], "final_answer": "-522780318", "answer_type": "integer", "kind": "expression", "math_text": "(-24608 - 5486 + 5650) * 1264 + 13074 * (-37623)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ (- n n) n) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24608, \"b\": 5486, \"c\": 5650, \"d\": 1264, \"e\": 13074, \"f\": -37623}", "seed": "16427776362505103399", "semantic_fingerprint": "sha256:212e4d0d0f12e8584cb31fb64feea74f5596e878ac218c7e23cc3ac3ed191b85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004564", "prompt": "Evaluate: 8911 + 4841", "solution_steps": ["Add: 8911 + 4841 = 13752"], "final_answer": "13752", "answer_type": "integer", "kind": "expression", "math_text": "8911 + 4841", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8911, \"b\": 4841}", "seed": "7090838027404504143", "semantic_fingerprint": "sha256:526a6db8591d59916cc7429ee9ac066e55e132166f2597290859d3c5b2397bf3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004565", "prompt": "What value of x satisfies 18x + 70659 = 25(x + 2851)?", "solution_steps": ["Expand: 18x + 70659 = 25x + 71275", "Subtract 25x from both sides: -7x + 70659 = 71275", "Subtract 70659 from both sides: -7x = 616", "Divide both sides by -7: x = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x + 70659 = 25(x + 2851)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 25, \"c\": 2851, \"e\": 70659, \"x\": -88}", "seed": "6159405479626864401", "semantic_fingerprint": "sha256:6bf3aa8db2372fe5c7d86c796dc342982e0538a9e81700c661cf93472051faf0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004566", "prompt": "Compute: 9806 + 44812 + (-2440)", "solution_steps": ["Add: 9806 + 44812 = 54618", "Add: 54618 + (-2440) = 52178"], "final_answer": "52178", "answer_type": "integer", "kind": "expression", "math_text": "9806 + 44812 + (-2440)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9806, \"b\": 44812, \"c\": -2440}", "seed": "1538776412819279636", "semantic_fingerprint": "sha256:e7c56a8afe369c2a4df9504cd9118af2fabd80f52afe15992735222950b3381f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004567", "prompt": "Find x: 16x = -26x + 7812", "solution_steps": ["Add 26x to both sides: 42x = 7812", "Divide both sides by 42: x = 186"], "final_answer": "186", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x = -26x + 7812", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": -26, \"d\": 7812, \"x\": 186}", "seed": "12927365125623770580", "semantic_fingerprint": "sha256:517803bd6716706f4af248a2b955805aceb0af80643a4cd495139f1c50ec0db3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004568", "prompt": "What is (6251 + (-9612)) * (6550 - 6287) + (-3388)?", "solution_steps": ["Add: 6251 + (-9612) = -3361", "Subtract: 6550 - 6287 = 263", "Multiply: -3361 * 263 = -883943", "Add: -883943 + (-3388) = -887331"], "final_answer": "-887331", "answer_type": "integer", "kind": "expression", "math_text": "(6251 + (-9612)) * (6550 - 6287) + (-3388)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6251, \"b\": -9612, \"c\": 6550, \"d\": 6287, \"e\": -3388}", "seed": "5364624852739271516", "semantic_fingerprint": "sha256:6bac69a48dbb8662edc386136621297fd124390e226419f543b502a1b08b48c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004569", "prompt": "What is 7519 + (7611 + (82095 - 6424))?", "solution_steps": ["Subtract: 82095 - 6424 = 75671", "Add: 7611 + 75671 = 83282", "Add: 7519 + 83282 = 90801"], "final_answer": "90801", "answer_type": "integer", "kind": "expression", "math_text": "7519 + (7611 + (82095 - 6424))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7519, \"b\": 7611, \"c\": 82095, \"d\": 6424}", "seed": "7704535472039143955", "semantic_fingerprint": "sha256:00ae6e2a6ea8930460b2394e74728b103fdc89c44d52e661ccea562c8cd48ace", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004570", "prompt": "Compute: 7186 * (4060 * 5514 - 60109)", "solution_steps": ["Multiply: 4060 * 5514 = 22386840", "Subtract: 22386840 - 60109 = 22326731", "Multiply: 7186 * 22326731 = 160439888966"], "final_answer": "160439888966", "answer_type": "integer", "kind": "expression", "math_text": "7186 * (4060 * 5514 - 60109)", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7186, \"b\": 4060, \"c\": 5514, \"d\": 60109}", "seed": "8065285925030346673", "semantic_fingerprint": "sha256:5e4aa60795c3490c6fb2489c418c0acda5215db1570480797fad09e18ffedc98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004571", "prompt": "Find x: -23(x - 71084) + 12225 = x + 14209", "solution_steps": ["Expand: -23x + 1634932 + 12225 = x + 14209", "Combine constants: -23x + 1647157 = x + 14209", "Subtract x from both sides: -24x + 1647157 = 14209", "Subtract 1647157 from both sides: -24x = -1632948", "Divide both sides by -24: x = 136079/2"], "final_answer": "136079/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x - 71084) + 12225 = x + 14209", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 71084, \"c\": 12225, \"d\": 14209}", "seed": "6217972517023949952", "semantic_fingerprint": "sha256:e50cc1c51875eef2c7b0373b59a1bbcead7a0d4f6a13eabbed23230d61d6a717", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004572", "prompt": "Evaluate: 35435 / (-2608)", "solution_steps": ["Divide: 35435 / (-2608) = -35435/2608"], "final_answer": "-35435/2608", "answer_type": "rational", "kind": "expression", "math_text": "35435 / (-2608)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35435, \"b\": -2608}", "seed": "7740454080940350672", "semantic_fingerprint": "sha256:d755472e7da0af7d1d3733804f8a63d5ae800430c1341717348d5ad850059e55", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004573", "prompt": "What value of x satisfies x - 5716 = -5914?", "solution_steps": ["Add 5716 to both sides: x = -198"], "final_answer": "-198", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5716 = -5914", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5716, \"c\": -5914, \"x\": -198}", "seed": "3024969058604517612", "semantic_fingerprint": "sha256:d2a7fdcf032d66958751630164062b1996d66742214aabe7b681852bcfe94437", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004574", "prompt": "Evaluate: 11265 - (-4356)", "solution_steps": ["Subtract: 11265 - (-4356) = 15621"], "final_answer": "15621", "answer_type": "integer", "kind": "expression", "math_text": "11265 - (-4356)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 11265, \"b\": -4356}", "seed": "6277668224513019571", "semantic_fingerprint": "sha256:16aa8a624af012b07dc808e1c45980efce769cec14dd744f260b9a7cc806f325", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004575", "prompt": "Compute: 48226 * 79968", "solution_steps": ["Multiply: 48226 * 79968 = 3856536768"], "final_answer": "3856536768", "answer_type": "integer", "kind": "expression", "math_text": "48226 * 79968", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 48226, \"b\": 79968}", "seed": "15160711121482435498", "semantic_fingerprint": "sha256:6e9a1d3e1327d623ef854b817ccc5d2ae9b77cfa31a859a830e06e34ff6c02b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004576", "prompt": "What is -89903 / (46212 / (-5891 + (6763 - (84478 - 9959))))?", "solution_steps": ["Subtract: 84478 - 9959 = 74519", "Subtract: 6763 - 74519 = -67756", "Add: -5891 + (-67756) = -73647", "Divide: 46212 / (-73647) = -15404/24549", "Divide: -89903 / (-15404/24549) = 2207028747/15404"], "final_answer": "2207028747/15404", "answer_type": "rational", "kind": "expression", "math_text": "-89903 / (46212 / (-5891 + (6763 - (84478 - 9959))))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ n (+ n (- n (- n n)))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -89903, \"b\": 46212, \"c\": -5891, \"d\": 6763, \"e\": 84478, \"f\": 9959}", "seed": "4878643016081369790", "semantic_fingerprint": "sha256:b41734206d6215641c02b0aab5437b39a391da939b6913e21ce9eceed23d3513", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004577", "prompt": "Calculate: (-6305 - (-85825)) / 3311", "solution_steps": ["Subtract: -6305 - (-85825) = 79520", "Divide: 79520 / 3311 = 11360/473"], "final_answer": "11360/473", "answer_type": "rational", "kind": "expression", "math_text": "(-6305 - (-85825)) / 3311", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6305, \"b\": -85825, \"c\": 3311}", "seed": "8871209411635024745", "semantic_fingerprint": "sha256:c87a051fdba37754e42af833f6e6fdb96e4cebd7231df05392933cacf37d4ef2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004578", "prompt": "Solve the equation 38x + 9519 = x + 8039 for x.", "solution_steps": ["Subtract x from both sides: 37x + 9519 = 8039", "Subtract 9519 from both sides: 37x = -1480", "Divide both sides by 37: x = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 9519 = x + 8039", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 9519, \"d\": 8039, \"x\": -40}", "seed": "6216120509945601441", "semantic_fingerprint": "sha256:f0b550c8d95ccc6daeadf7e9a4a2641b3805a23e1068eddff384b5c3c219f443", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004579", "prompt": "Find x: -29(x - 3110) = 26x + 99870", "solution_steps": ["Expand: -29x + 90190 = 26x + 99870", "Subtract 26x from both sides: -55x + 90190 = 99870", "Subtract 90190 from both sides: -55x = 9680", "Divide both sides by -55: x = -176"], "final_answer": "-176", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29(x - 3110) = 26x + 99870", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 3110, \"c\": 26, \"e\": 99870, \"x\": -176}", "seed": "12821802129813190184", "semantic_fingerprint": "sha256:ecccfb8fd99fa293db5214a9b9be996705820984f14a732c8cdda8bede04fd60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004580", "prompt": "What value of x satisfies 35x + 2388 = 23x?", "solution_steps": ["Subtract 23x from both sides: 12x + 2388 = 0", "Subtract 2388 from both sides: 12x = -2388", "Divide both sides by 12: x = -199"], "final_answer": "-199", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 2388 = 23x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 23, \"d\": 2388, \"x\": -199}", "seed": "14146323785005844106", "semantic_fingerprint": "sha256:14f25421a6a7bc02ec17c03d3cca6c3ef052449b7007cc0268178ae6232cab34", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004581", "prompt": "What is 6151 + 2700 - (-42134)?", "solution_steps": ["Add: 6151 + 2700 = 8851", "Subtract: 8851 - (-42134) = 50985"], "final_answer": "50985", "answer_type": "integer", "kind": "expression", "math_text": "6151 + 2700 - (-42134)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6151, \"b\": 2700, \"c\": -42134}", "seed": "4007535294736665591", "semantic_fingerprint": "sha256:e9153a9a3c8c5845e8ac383fcf893a545c64989432972e54fbc6deb3e84cbacc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004582", "prompt": "What is -7915 + 2482 - 76907?", "solution_steps": ["Add: -7915 + 2482 = -5433", "Subtract: -5433 - 76907 = -82340"], "final_answer": "-82340", "answer_type": "integer", "kind": "expression", "math_text": "-7915 + 2482 - 76907", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7915, \"b\": 2482, \"c\": 76907}", "seed": "8576647314970588134", "semantic_fingerprint": "sha256:4ed59c797632172533c9fbd83d06ee406e41f795fce0a9f94c857d58afed3398", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004583", "prompt": "Solve the equation 18(x - 1638) = 25x for x.", "solution_steps": ["Expand: 18x - 29484 = 25x", "Subtract 25x from both sides: -7x - 29484 = 0", "Add 29484 to both sides: -7x = 29484", "Divide both sides by -7: x = -4212"], "final_answer": "-4212", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x - 1638) = 25x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 1638, \"c\": 25}", "seed": "8362077989258673506", "semantic_fingerprint": "sha256:b43bb82c0a34c0d7e5ba32348cd09966ae55f7e69855d216836dd2f8f3d27b45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004584", "prompt": "Find x: x = 20(x + 62484) - 20114", "solution_steps": ["Expand: x = 20x + 1249680 - 20114", "Combine constants: x = 20x + 1229566", "Subtract 20x from both sides: -19x = 1229566", "Divide both sides by -19: x = -64714"], "final_answer": "-64714", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 20(x + 62484) - 20114", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 62484, \"c\": 20114}", "seed": "950160783119509504", "semantic_fingerprint": "sha256:af9539c1e9c569923042134bafa42a0a74e07513477912e44c498190073535e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004585", "prompt": "What is -8127 * (-9965)?", "solution_steps": ["Multiply: -8127 * (-9965) = 80985555"], "final_answer": "80985555", "answer_type": "integer", "kind": "expression", "math_text": "-8127 * (-9965)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8127, \"b\": -9965}", "seed": "10434198242054855843", "semantic_fingerprint": "sha256:e00356da1104b98d3f96e6847bb619e6fab7d98ec2ebd2feb34e8e32d6168624", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004586", "prompt": "Compute: -29230 * 37183 + (-7323) + (-43738) * (-6499)", "solution_steps": ["Multiply: -29230 * 37183 = -1086859090", "Add: -1086859090 + (-7323) = -1086866413", "Multiply: -43738 * (-6499) = 284253262", "Add: -1086866413 + 284253262 = -802613151"], "final_answer": "-802613151", "answer_type": "integer", "kind": "expression", "math_text": "-29230 * 37183 + (-7323) + (-43738) * (-6499)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29230, \"b\": 37183, \"c\": -7323, \"d\": -43738, \"e\": -6499}", "seed": "17063039898166472352", "semantic_fingerprint": "sha256:071f7f549707ad3edd792117bbe77b5a21738fa72b27ba69b6f51d19c964d8d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004587", "prompt": "Compute: 17075 + (1250 - 74072 / 7529)", "solution_steps": ["Divide: 74072 / 7529 = 74072/7529", "Subtract: 1250 - 74072/7529 = 9337178/7529", "Add: 17075 + 9337178/7529 = 137894853/7529"], "final_answer": "137894853/7529", "answer_type": "rational", "kind": "expression", "math_text": "17075 + (1250 - 74072 / 7529)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17075, \"b\": 1250, \"c\": 74072, \"d\": 7529}", "seed": "11488911090752725352", "semantic_fingerprint": "sha256:450f30763de8f43c6beda3b08100b16784c060c7b37e1a6bd9d234f65fe519d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004588", "prompt": "Solve for x: -38x = 24(x - 46213)", "solution_steps": ["Expand: -38x = 24x - 1109112", "Subtract 24x from both sides: -62x = -1109112", "Divide both sides by -62: x = 554556/31"], "final_answer": "554556/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38x = 24(x - 46213)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 24, \"c\": 46213}", "seed": "8094684935242432437", "semantic_fingerprint": "sha256:0bb98edc09d4cf8aea7344d389c405a364fd21f32793d6abee9c02278c5a8e63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004589", "prompt": "Compute: 5556 * (-33231)", "solution_steps": ["Multiply: 5556 * (-33231) = -184631436"], "final_answer": "-184631436", "answer_type": "integer", "kind": "expression", "math_text": "5556 * (-33231)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5556, \"b\": -33231}", "seed": "11570276959171484562", "semantic_fingerprint": "sha256:45c2c74a574a8c53257113edacbd1425cfc274e8ecc8cd6911d08cb464794dfd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004590", "prompt": "What is 2691 / (-4044 + 7001) - (-3778 + (-4026))?", "solution_steps": ["Add: -4044 + 7001 = 2957", "Divide: 2691 / 2957 = 2691/2957", "Add: -3778 + (-4026) = -7804", "Subtract: 2691/2957 - (-7804) = 23079119/2957"], "final_answer": "23079119/2957", "answer_type": "rational", "kind": "expression", "math_text": "2691 / (-4044 + 7001) - (-3778 + (-4026))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2691, \"b\": -4044, \"c\": 7001, \"d\": -3778, \"e\": -4026}", "seed": "643993319940865504", "semantic_fingerprint": "sha256:b69c462f6f104ededa82dc554f4ade218d048febec761f0440269df029d70ead", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004591", "prompt": "What value of x satisfies 16(x + 1937) - 29042 = x?", "solution_steps": ["Expand: 16x + 30992 - 29042 = x", "Combine constants: 16x + 1950 = x", "Subtract x from both sides: 15x + 1950 = 0", "Subtract 1950 from both sides: 15x = -1950", "Divide both sides by 15: x = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 1937) - 29042 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 1937, \"d\": -29042, \"x\": -130}", "seed": "7073661059443608372", "semantic_fingerprint": "sha256:98ecb3fe03ec4bf4dffb5b89d540f15a488d196ac0e022ebcd1efe88f5bf1d7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004592", "prompt": "What is 14109 * (20470 - (2075 - 74410))?", "solution_steps": ["Subtract: 2075 - 74410 = -72335", "Subtract: 20470 - (-72335) = 92805", "Multiply: 14109 * 92805 = 1309385745"], "final_answer": "1309385745", "answer_type": "integer", "kind": "expression", "math_text": "14109 * (20470 - (2075 - 74410))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14109, \"b\": 20470, \"c\": 2075, \"d\": 74410}", "seed": "1485231889517413854", "semantic_fingerprint": "sha256:09abb44839496917480d5deb469ed30cebfbf7c63cf8e5a9d93fe2908f9b3eb2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004593", "prompt": "What is (-76265 * (-2530) - 1741) / 7076?", "solution_steps": ["Multiply: -76265 * (-2530) = 192950450", "Subtract: 192950450 - 1741 = 192948709", "Divide: 192948709 / 7076 = 192948709/7076"], "final_answer": "192948709/7076", "answer_type": "rational", "kind": "expression", "math_text": "(-76265 * (-2530) - 1741) / 7076", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -76265, \"b\": -2530, \"c\": 1741, \"d\": 7076}", "seed": "10051516573588537518", "semantic_fingerprint": "sha256:0157d21dd3c95a3a9111269cec0fde782e2334a61fd16116b3e0955a1263878d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004594", "prompt": "What is 21366 * (57806 - (1190 - (-4449 + (-3601) - (-43064))))?", "solution_steps": ["Add: -4449 + (-3601) = -8050", "Subtract: -8050 - (-43064) = 35014", "Subtract: 1190 - 35014 = -33824", "Subtract: 57806 - (-33824) = 91630", "Multiply: 21366 * 91630 = 1957766580"], "final_answer": "1957766580", "answer_type": "integer", "kind": "expression", "math_text": "21366 * (57806 - (1190 - (-4449 + (-3601) - (-43064))))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (- n (- (+ n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21366, \"b\": 57806, \"c\": 1190, \"d\": -4449, \"e\": -3601, \"f\": -43064}", "seed": "13347276136592619350", "semantic_fingerprint": "sha256:37d08650480744d1a6ae21b10d6a2d6380394f522efaa8151ae0a06f89c20990", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004595", "prompt": "Solve for x: 18(x - 3556) = 26(x + 19714)", "solution_steps": ["Expand: 18x - 64008 = 26(x + 19714)", "Expand: 18x - 64008 = 26x + 512564", "Subtract 26x from both sides: -8x - 64008 = 512564", "Add 64008 to both sides: -8x = 576572", "Divide both sides by -8: x = -144143/2"], "final_answer": "-144143/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x - 3556) = 26(x + 19714)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3556, \"c\": 26, \"d\": 19714}", "seed": "12854143625877643482", "semantic_fingerprint": "sha256:db3b14849d9dd579c427fbd40ee2653da38529fdadcb92c18cf1ff1cc9df11b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004596", "prompt": "Solve the equation 14x = 16x - 24018 for x.", "solution_steps": ["Subtract 16x from both sides: -2x = -24018", "Divide both sides by -2: x = 12009"], "final_answer": "12009", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = 16x - 24018", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 16, \"c\": 24018}", "seed": "17280320877158125675", "semantic_fingerprint": "sha256:ae5d19ad41f59524619838c38bed2934df2b5847ce6d5d6e6d73a4f4f1790986", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004597", "prompt": "Evaluate: 5000 / 6709", "solution_steps": ["Divide: 5000 / 6709 = 5000/6709"], "final_answer": "5000/6709", "answer_type": "rational", "kind": "expression", "math_text": "5000 / 6709", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5000, \"b\": 6709}", "seed": "14055145026870611086", "semantic_fingerprint": "sha256:9c205ac9a372cd36267b3c21ca74cd6dca9dddbad54d5a6d4f3e3e918fb24fd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004598", "prompt": "What value of x satisfies 30(x - 3585) + 7685 = x + 4637?", "solution_steps": ["Expand: 30x - 107550 + 7685 = x + 4637", "Combine constants: 30x - 99865 = x + 4637", "Subtract x from both sides: 29x - 99865 = 4637", "Add 99865 to both sides: 29x = 104502", "Divide both sides by 29: x = 104502/29"], "final_answer": "104502/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 3585) + 7685 = x + 4637", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 3585, \"c\": 7685, \"d\": 4637}", "seed": "6600209057221157476", "semantic_fingerprint": "sha256:5afed05d5392de04175a556f53e93c46d868366e4ca4657b7a4ce55a2b6c2efd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004599", "prompt": "Compute: 43333 + (-3185)", "solution_steps": ["Add: 43333 + (-3185) = 40148"], "final_answer": "40148", "answer_type": "integer", "kind": "expression", "math_text": "43333 + (-3185)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 43333, \"b\": -3185}", "seed": "12012664428759389058", "semantic_fingerprint": "sha256:6c13474d67dfc3e41cbc41e0a4c8627d3c2add37e30b9db007eca1a744a32757", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004600", "prompt": "What is -8090 + (-9094)?", "solution_steps": ["Add: -8090 + (-9094) = -17184"], "final_answer": "-17184", "answer_type": "integer", "kind": "expression", "math_text": "-8090 + (-9094)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8090, \"b\": -9094}", "seed": "4260139040089328982", "semantic_fingerprint": "sha256:f070edddef2600528f0ca0be77903deb06d7ebb79840e3dd47a299c9a42909b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004601", "prompt": "Find x: -20(x + 15307) + 3171 = 38(x + 81817)", "solution_steps": ["Expand: -20x - 306140 + 3171 = 38(x + 81817)", "Expand: -20x - 306140 + 3171 = 38x + 3109046", "Combine constants: -20x - 302969 = 38x + 3109046", "Subtract 38x from both sides: -58x - 302969 = 3109046", "Add 302969 to both sides: -58x = 3412015", "Divide both sides by -58: x = -3412015/58"], "final_answer": "-3412015/58", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x + 15307) + 3171 = 38(x + 81817)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 15307, \"c\": 3171, \"d\": 38, \"e\": 81817}", "seed": "14784932222498113130", "semantic_fingerprint": "sha256:efb60d4791a48e50c5594ca4256f2120cdf9adb501f31e7d2919102da3f70583", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004602", "prompt": "What is -9381 * (3662 - 31012 / 7486 * 5283)?", "solution_steps": ["Divide: 31012 / 7486 = 15506/3743", "Multiply: (15506/3743) * 5283 = 81918198/3743", "Subtract: 3662 - 81918198/3743 = -68211332/3743", "Multiply: -9381 * (-68211332/3743) = 639890505492/3743"], "final_answer": "639890505492/3743", "answer_type": "rational", "kind": "expression", "math_text": "-9381 * (3662 - 31012 / 7486 * 5283)", "variable": null, "family": "expression_4op", "shape": "(* n (- n (* (/ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9381, \"b\": 3662, \"c\": 31012, \"d\": 7486, \"e\": 5283}", "seed": "11910565197127953550", "semantic_fingerprint": "sha256:c8056563cd7e88159fc1c19068d08e3ca0ea0362a898a680f60e2cbd3b39eff1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004603", "prompt": "Solve for x: -21(x - 8576) = 18(x + 3545)", "solution_steps": ["Expand: -21x + 180096 = 18(x + 3545)", "Expand: -21x + 180096 = 18x + 63810", "Subtract 18x from both sides: -39x + 180096 = 63810", "Subtract 180096 from both sides: -39x = -116286", "Divide both sides by -39: x = 38762/13"], "final_answer": "38762/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 8576) = 18(x + 3545)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 8576, \"c\": 18, \"d\": 3545}", "seed": "6412923345295645108", "semantic_fingerprint": "sha256:325bcb130df6f1af00c3d9c52e81d9d8644f001dcaa2273d8cc7bbb3f9e105bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004604", "prompt": "Calculate: -56732 * (-83207)", "solution_steps": ["Multiply: -56732 * (-83207) = 4720499524"], "final_answer": "4720499524", "answer_type": "integer", "kind": "expression", "math_text": "-56732 * (-83207)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -56732, \"b\": -83207}", "seed": "2487031271483713270", "semantic_fingerprint": "sha256:5bbcf58528752bd7d9d073fcc6773b39358455c74aa67dcf5c504ffa10a2a590", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004605", "prompt": "What is -5749 * (-63529) - (-95234) - 9665 / 1262?", "solution_steps": ["Multiply: -5749 * (-63529) = 365228221", "Subtract: 365228221 - (-95234) = 365323455", "Divide: 9665 / 1262 = 9665/1262", "Subtract: 365323455 - 9665/1262 = 461038190545/1262"], "final_answer": "461038190545/1262", "answer_type": "rational", "kind": "expression", "math_text": "-5749 * (-63529) - (-95234) - 9665 / 1262", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5749, \"b\": -63529, \"c\": -95234, \"d\": 9665, \"e\": 1262}", "seed": "5110838494279166889", "semantic_fingerprint": "sha256:bca4fb908fd1004c2f9c2a0ae41af78bf101e6ab46db08dceffaef56d4dbf9bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004606", "prompt": "Solve the equation -26x + 2542 = 15x for x.", "solution_steps": ["Subtract 15x from both sides: -41x + 2542 = 0", "Subtract 2542 from both sides: -41x = -2542", "Divide both sides by -41: x = 62"], "final_answer": "62", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x + 2542 = 15x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 15, \"d\": 2542, \"x\": 62}", "seed": "3140405379130461327", "semantic_fingerprint": "sha256:d1b671027284c0c1905c818b06b452fa1961b0b3cd38fdd98ba433644690ebdc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004607", "prompt": "Calculate: 9189 * 6716", "solution_steps": ["Multiply: 9189 * 6716 = 61713324"], "final_answer": "61713324", "answer_type": "integer", "kind": "expression", "math_text": "9189 * 6716", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9189, \"b\": 6716}", "seed": "3711858687517668146", "semantic_fingerprint": "sha256:9e77d25cd5dc9236837380654509d95564b9def7d6d646eb52d69963a3127bcd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004608", "prompt": "Compute: 1626 * (-93609)", "solution_steps": ["Multiply: 1626 * (-93609) = -152208234"], "final_answer": "-152208234", "answer_type": "integer", "kind": "expression", "math_text": "1626 * (-93609)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1626, \"b\": -93609}", "seed": "3646848461464421230", "semantic_fingerprint": "sha256:623cea46428578ec8ebd302f2695c4c75873b9da416210d24a596d99d9163d2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004609", "prompt": "Evaluate: -3170 - (-49289 - 87671 - (41546 - 8442 + (-4565)))", "solution_steps": ["Subtract: -49289 - 87671 = -136960", "Subtract: 41546 - 8442 = 33104", "Add: 33104 + (-4565) = 28539", "Subtract: -136960 - 28539 = -165499", "Subtract: -3170 - (-165499) = 162329"], "final_answer": "162329", "answer_type": "integer", "kind": "expression", "math_text": "-3170 - (-49289 - 87671 - (41546 - 8442 + (-4565)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (- n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3170, \"b\": -49289, \"c\": 87671, \"d\": 41546, \"e\": 8442, \"f\": -4565}", "seed": "1389065613936931674", "semantic_fingerprint": "sha256:8185929e4adce5493852a1f0d30107496635e88a82c3d2be755da785898acd92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004610", "prompt": "What is -3369 * 35769 + 8037?", "solution_steps": ["Multiply: -3369 * 35769 = -120505761", "Add: -120505761 + 8037 = -120497724"], "final_answer": "-120497724", "answer_type": "integer", "kind": "expression", "math_text": "-3369 * 35769 + 8037", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3369, \"b\": 35769, \"c\": 8037}", "seed": "3715362667629984115", "semantic_fingerprint": "sha256:2fa94243970c6a3dcb48769352435371932d9e642b9f7556701f5f3de38dd472", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004611", "prompt": "What is -91311 / (3669 - 8662 + (-74947)) - (-4928) / (-9856)?", "solution_steps": ["Subtract: 3669 - 8662 = -4993", "Add: -4993 + (-74947) = -79940", "Divide: -91311 / (-79940) = 91311/79940", "Divide: -4928 / (-9856) = 1/2", "Subtract: 91311/79940 - 1/2 = 51341/79940"], "final_answer": "51341/79940", "answer_type": "rational", "kind": "expression", "math_text": "-91311 / (3669 - 8662 + (-74947)) - (-4928) / (-9856)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -91311, \"b\": 3669, \"c\": 8662, \"d\": -74947, \"e\": -4928, \"f\": -9856}", "seed": "11041698528641182404", "semantic_fingerprint": "sha256:713cc3c66cd31561686d023015cda3a095f170380492806279724d8d2685c474", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004612", "prompt": "Calculate: 8017 / 13371", "solution_steps": ["Divide: 8017 / 13371 = 8017/13371"], "final_answer": "8017/13371", "answer_type": "rational", "kind": "expression", "math_text": "8017 / 13371", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8017, \"b\": 13371}", "seed": "3925746376543170827", "semantic_fingerprint": "sha256:c7d9f3a1bbd118348023e95d9a14671ae80083da3dc2eff223f8bf323aa67e14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004613", "prompt": "Compute: -7952 * 49974 / 6572", "solution_steps": ["Multiply: -7952 * 49974 = -397393248", "Divide: -397393248 / 6572 = -99348312/1643"], "final_answer": "-99348312/1643", "answer_type": "rational", "kind": "expression", "math_text": "-7952 * 49974 / 6572", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7952, \"b\": 49974, \"c\": 6572}", "seed": "3805011507149666232", "semantic_fingerprint": "sha256:58edfdc27b7a27e223bf8b9e13bdf0996ea44332db9ef7bba95744870618ca13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004614", "prompt": "Evaluate: (-22171 + (-7497) / (-2429)) * (-42548)", "solution_steps": ["Divide: -7497 / (-2429) = 1071/347", "Add: -22171 + 1071/347 = -7692266/347", "Multiply: (-7692266/347) * (-42548) = 327290533768/347"], "final_answer": "327290533768/347", "answer_type": "rational", "kind": "expression", "math_text": "(-22171 + (-7497) / (-2429)) * (-42548)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22171, \"b\": -7497, \"c\": -2429, \"d\": -42548}", "seed": "9217566457782729167", "semantic_fingerprint": "sha256:3b2466e138157aedc10a034b99b676ec55d0a2fc5f7dcba9f8e2bd6bc4addd02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004615", "prompt": "Solve for x: 25x = 29x + 30255", "solution_steps": ["Subtract 29x from both sides: -4x = 30255", "Divide both sides by -4: x = -30255/4"], "final_answer": "-30255/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x = 29x + 30255", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 29, \"c\": 30255}", "seed": "18415902505126522880", "semantic_fingerprint": "sha256:b4120c7a4b7045d368f4792da9b33c2e77c2c4cfd202728320d368b91cd0abe1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004616", "prompt": "Compute: 4434 + (-38136 + (-9438)) / 5599", "solution_steps": ["Add: -38136 + (-9438) = -47574", "Divide: -47574 / 5599 = -47574/5599", "Add: 4434 + (-47574/5599) = 24778392/5599"], "final_answer": "24778392/5599", "answer_type": "rational", "kind": "expression", "math_text": "4434 + (-38136 + (-9438)) / 5599", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4434, \"b\": -38136, \"c\": -9438, \"d\": 5599}", "seed": "16488871838999843250", "semantic_fingerprint": "sha256:d3850229d56e4345526bf64533c1fa782b6717d9518ed91bb7e168de326d2781", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004617", "prompt": "Solve the equation -40x = 18x + 1450 for x.", "solution_steps": ["Subtract 18x from both sides: -58x = 1450", "Divide both sides by -58: x = -25"], "final_answer": "-25", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40x = 18x + 1450", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 18, \"d\": 1450, \"x\": -25}", "seed": "2865030805454338873", "semantic_fingerprint": "sha256:0e1103d3b7708b6a9f849d5e69b628b68ef216e8c7c8dfc736f821d0c78e9f26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004618", "prompt": "What is 9967 / (-27400)?", "solution_steps": ["Divide: 9967 / (-27400) = -9967/27400"], "final_answer": "-9967/27400", "answer_type": "rational", "kind": "expression", "math_text": "9967 / (-27400)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9967, \"b\": -27400}", "seed": "2280934172722695877", "semantic_fingerprint": "sha256:e0fac1d04465e809167a0976e7bed5b93e0a5b9521212841b99e37996756c75a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004619", "prompt": "What is -47448 - 11704 * (-5410)?", "solution_steps": ["Multiply: 11704 * (-5410) = -63318640", "Subtract: -47448 - (-63318640) = 63271192"], "final_answer": "63271192", "answer_type": "integer", "kind": "expression", "math_text": "-47448 - 11704 * (-5410)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47448, \"b\": 11704, \"c\": -5410}", "seed": "15762394244364574331", "semantic_fingerprint": "sha256:0b353b32b408593604511c351c6276c732c7d9a0bfad4aabb1a4403b60a7f831", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004620", "prompt": "Solve the equation -27x - 2772 = -34x for x.", "solution_steps": ["Add 34x to both sides: 7x - 2772 = 0", "Add 2772 to both sides: 7x = 2772", "Divide both sides by 7: x = 396"], "final_answer": "396", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27x - 2772 = -34x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 2772, \"c\": -34}", "seed": "2995113213396805372", "semantic_fingerprint": "sha256:15d5c6f1f4fffc783c3e85921170cdf3b118a1e80af1febca8902108d07a0e48", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004621", "prompt": "Solve for x: x + 52542 = 34(x + 1623)", "solution_steps": ["Expand: x + 52542 = 34x + 55182", "Subtract 34x from both sides: -33x + 52542 = 55182", "Subtract 52542 from both sides: -33x = 2640", "Divide both sides by -33: x = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 52542 = 34(x + 1623)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 1623, \"d\": 52542, \"x\": -80}", "seed": "841141074670677756", "semantic_fingerprint": "sha256:5ff4a0606521a0161c6c29b206acb2a5fbe06c60a8802fda273caaeb9008360d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004622", "prompt": "What is (1525 + (-15129)) / 39075?", "solution_steps": ["Add: 1525 + (-15129) = -13604", "Divide: -13604 / 39075 = -13604/39075"], "final_answer": "-13604/39075", "answer_type": "rational", "kind": "expression", "math_text": "(1525 + (-15129)) / 39075", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1525, \"b\": -15129, \"c\": 39075}", "seed": "2764862414389492571", "semantic_fingerprint": "sha256:e0c9e28afc8c127f8e98a58fa9e732dbe41a7fd91b156fe0ee5357ea7690e6d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004623", "prompt": "Compute: -1841 / 78536 + (52036 - 7075)", "solution_steps": ["Divide: -1841 / 78536 = -1841/78536", "Subtract: 52036 - 7075 = 44961", "Add: -1841/78536 + 44961 = 3531055255/78536"], "final_answer": "3531055255/78536", "answer_type": "rational", "kind": "expression", "math_text": "-1841 / 78536 + (52036 - 7075)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1841, \"b\": 78536, \"c\": 52036, \"d\": 7075}", "seed": "12963478102800621402", "semantic_fingerprint": "sha256:11490f08c1f4f7161cee15503d2a177310f1733354a3843de7339aa6d4052e68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004624", "prompt": "Solve for x: 23x = x - 7252", "solution_steps": ["Subtract x from both sides: 22x = -7252", "Divide both sides by 22: x = -3626/11"], "final_answer": "-3626/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x = x - 7252", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 7252}", "seed": "1882293265044032215", "semantic_fingerprint": "sha256:9b1f55a3fdd84a1e2d62194ca3358e3a9ac44f09045880f99a235a15827bc99f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004625", "prompt": "What is 37988 * 9966?", "solution_steps": ["Multiply: 37988 * 9966 = 378588408"], "final_answer": "378588408", "answer_type": "integer", "kind": "expression", "math_text": "37988 * 9966", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 37988, \"b\": 9966}", "seed": "13470546555472192901", "semantic_fingerprint": "sha256:c67bddb74e85b2efb8e1e1f5bc3ec00d3a36383b115caab165b2dac40060ee0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004626", "prompt": "Find x: x = 35(x + 52842) - 8573", "solution_steps": ["Expand: x = 35x + 1849470 - 8573", "Combine constants: x = 35x + 1840897", "Subtract 35x from both sides: -34x = 1840897", "Divide both sides by -34: x = -1840897/34"], "final_answer": "-1840897/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 35(x + 52842) - 8573", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 52842, \"c\": 8573}", "seed": "5281077616956760485", "semantic_fingerprint": "sha256:99f86e92b05fc09decf02c6ef84b5a5a157ff8e5bbabb19db2683e7267b9795d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004627", "prompt": "Find x: 23(x + 3912) + 7239 = 31x + 98679", "solution_steps": ["Expand: 23x + 89976 + 7239 = 31x + 98679", "Combine constants: 23x + 97215 = 31x + 98679", "Subtract 31x from both sides: -8x + 97215 = 98679", "Subtract 97215 from both sides: -8x = 1464", "Divide both sides by -8: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 3912) + 7239 = 31x + 98679", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3912, \"c\": 7239, \"d\": 31, \"f\": 98679, \"x\": -183}", "seed": "7561370371041649719", "semantic_fingerprint": "sha256:5010e20243e2a5ef5d4892f216c6e7fe15246c1efc983ded61ef2018b24c5f6f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004628", "prompt": "What is -11606 * (-80792 / 53407)?", "solution_steps": ["Divide: -80792 / 53407 = -80792/53407", "Multiply: -11606 * (-80792/53407) = 937671952/53407"], "final_answer": "937671952/53407", "answer_type": "rational", "kind": "expression", "math_text": "-11606 * (-80792 / 53407)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11606, \"b\": -80792, \"c\": 53407}", "seed": "7845829905504925095", "semantic_fingerprint": "sha256:c0014d18f2383941f9feaa64cbd1c95e748b30617c10c579c17276cc57f243b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004629", "prompt": "Solve the equation 38x = 19(x - 1170) + 5106 for x.", "solution_steps": ["Expand: 38x = 19x - 22230 + 5106", "Combine constants: 38x = 19x - 17124", "Subtract 19x from both sides: 19x = -17124", "Divide both sides by 19: x = -17124/19"], "final_answer": "-17124/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x = 19(x - 1170) + 5106", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 19, \"c\": 1170, \"d\": 5106}", "seed": "2106624933496922258", "semantic_fingerprint": "sha256:5d291db165b67cab7916a740e456ec627b824f6b8733cfeede5b33f2c23c182c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004630", "prompt": "What is -6353 / (-6543) - 56156?", "solution_steps": ["Divide: -6353 / (-6543) = 6353/6543", "Subtract: 6353/6543 - 56156 = -367422355/6543"], "final_answer": "-367422355/6543", "answer_type": "rational", "kind": "expression", "math_text": "-6353 / (-6543) - 56156", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6353, \"b\": -6543, \"c\": 56156}", "seed": "7820803505376151302", "semantic_fingerprint": "sha256:1fe5e1e123625d511d63d0b0b351d3f84621e779a0ff6d4f282ae6368300c8d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004631", "prompt": "Find x: x + 29000 = -24x + 27075", "solution_steps": ["Add 24x to both sides: 25x + 29000 = 27075", "Subtract 29000 from both sides: 25x = -1925", "Divide both sides by 25: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 29000 = -24x + 27075", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29000, \"b\": -24, \"d\": 27075, \"x\": -77}", "seed": "8561262483754232563", "semantic_fingerprint": "sha256:508efc7035fdce2b9fe73ddf83bb29fd73afeb1c1eab78fb71da359e5ab1b308", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004632", "prompt": "Solve for x: 14x = 35x", "solution_steps": ["Subtract 35x from both sides: -21x = 0", "Divide both sides by -21: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x = 35x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 35}", "seed": "8841231598355477714", "semantic_fingerprint": "sha256:941cd22e9ccbfe10511f145af993828f7c4634696e53f29b2f35d8488966d8d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004633", "prompt": "Calculate: 7018 + 39205", "solution_steps": ["Add: 7018 + 39205 = 46223"], "final_answer": "46223", "answer_type": "integer", "kind": "expression", "math_text": "7018 + 39205", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7018, \"b\": 39205}", "seed": "13724509785804316343", "semantic_fingerprint": "sha256:0be5cd3a99a6a852acc60dea514246ed4b92bafcbd025ffe5d5d9821e1b56f07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004634", "prompt": "Calculate: 3967 / (-32196) * (6019 * (-1326))", "solution_steps": ["Divide: 3967 / (-32196) = -3967/32196", "Multiply: 6019 * (-1326) = -7981194", "Multiply: (-3967/32196) * (-7981194) = 5276899433/5366"], "final_answer": "5276899433/5366", "answer_type": "rational", "kind": "expression", "math_text": "3967 / (-32196) * (6019 * (-1326))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3967, \"b\": -32196, \"c\": 6019, \"d\": -1326}", "seed": "12813956188678650174", "semantic_fingerprint": "sha256:1da97e1b707cb3ca0e0c16e34d5c7c480de500ef8600c7f73d584df0ab2c1e4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004635", "prompt": "Calculate: (-77469 * 4348 + (-8150) * (-12139 - 8765)) * (-3235)", "solution_steps": ["Multiply: -77469 * 4348 = -336835212", "Subtract: -12139 - 8765 = -20904", "Multiply: -8150 * (-20904) = 170367600", "Add: -336835212 + 170367600 = -166467612", "Multiply: -166467612 * (-3235) = 538522724820"], "final_answer": "538522724820", "answer_type": "integer", "kind": "expression", "math_text": "(-77469 * 4348 + (-8150) * (-12139 - 8765)) * (-3235)", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) (* n (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -77469, \"b\": 4348, \"c\": -8150, \"d\": -12139, \"e\": 8765, \"f\": -3235}", "seed": "10029835584715707531", "semantic_fingerprint": "sha256:202f99cd9745f9f6390ffa9178d8521089a2889151c8c52701bdf4dba9a03981", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004636", "prompt": "What value of x satisfies -40(x - 2049) - 80156 = x?", "solution_steps": ["Expand: -40x + 81960 - 80156 = x", "Combine constants: -40x + 1804 = x", "Subtract x from both sides: -41x + 1804 = 0", "Subtract 1804 from both sides: -41x = -1804", "Divide both sides by -41: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40(x - 2049) - 80156 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 2049, \"d\": -80156, \"x\": 44}", "seed": "15023564831260328036", "semantic_fingerprint": "sha256:db8ed20cd403c6c96ccde2ba62ac583e557476d697dd5d6be5ccaaeb8f9ecec8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004637", "prompt": "Calculate: -9476 - 2796 - (-75736) * (-8863 - 23345)", "solution_steps": ["Subtract: -9476 - 2796 = -12272", "Subtract: -8863 - 23345 = -32208", "Multiply: -75736 * (-32208) = 2439305088", "Subtract: -12272 - 2439305088 = -2439317360"], "final_answer": "-2439317360", "answer_type": "integer", "kind": "expression", "math_text": "-9476 - 2796 - (-75736) * (-8863 - 23345)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9476, \"b\": 2796, \"c\": -75736, \"d\": -8863, \"e\": 23345}", "seed": "3013949830719569424", "semantic_fingerprint": "sha256:290e16a981a0cd5e0b6d2ee23475e642c0dde57f06b049f06f645b48b574536e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004638", "prompt": "Solve the equation 32x + 2181 = 8549 for x.", "solution_steps": ["Subtract 2181 from both sides: 32x = 6368", "Divide both sides by 32: x = 199"], "final_answer": "199", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 2181 = 8549", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 2181, \"d\": 8549, \"x\": 199}", "seed": "3429978698472836169", "semantic_fingerprint": "sha256:90cad601804a28fc87b84acbd1391d5801d742fb57c4c7a45d6085184d3a8b49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004639", "prompt": "Evaluate: (-19439 - (-13993)) / 91678", "solution_steps": ["Subtract: -19439 - (-13993) = -5446", "Divide: -5446 / 91678 = -2723/45839"], "final_answer": "-2723/45839", "answer_type": "rational", "kind": "expression", "math_text": "(-19439 - (-13993)) / 91678", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19439, \"b\": -13993, \"c\": 91678}", "seed": "17505690072413767484", "semantic_fingerprint": "sha256:d5f3b79f771bafb3dc878cca26f2fb81b8e39f66ec1fbe63505f4a8306f59b77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004640", "prompt": "What is 58733 * 8495 + 7493 - (-9815)?", "solution_steps": ["Multiply: 58733 * 8495 = 498936835", "Add: 498936835 + 7493 = 498944328", "Subtract: 498944328 - (-9815) = 498954143"], "final_answer": "498954143", "answer_type": "integer", "kind": "expression", "math_text": "58733 * 8495 + 7493 - (-9815)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 58733, \"b\": 8495, \"c\": 7493, \"d\": -9815}", "seed": "14713386974374386382", "semantic_fingerprint": "sha256:baab91ce9714d5b7337de98956a43f81807ae4f7114a902660fd4c4eef942630", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004641", "prompt": "Find x: x = 17x - 6009", "solution_steps": ["Subtract 17x from both sides: -16x = -6009", "Divide both sides by -16: x = 6009/16"], "final_answer": "6009/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 17x - 6009", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 6009}", "seed": "5599496446056604930", "semantic_fingerprint": "sha256:be8c37d30cff32f819c57e6e8efce69da093afadccf2956460584e561a84c07c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004642", "prompt": "Find x: x - 73386 = 14x - 75843", "solution_steps": ["Subtract 14x from both sides: -13x - 73386 = -75843", "Add 73386 to both sides: -13x = -2457", "Divide both sides by -13: x = 189"], "final_answer": "189", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 73386 = 14x - 75843", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 73386, \"b\": 14, \"d\": -75843, \"x\": 189}", "seed": "9523071797357001958", "semantic_fingerprint": "sha256:64e4bc2e7656edcef5ea60ea1b15349cb9a4da6db0b90d3c906035008ccc60b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004643", "prompt": "Solve the equation 19(x + 6239) = 20(x - 37414) for x.", "solution_steps": ["Expand: 19x + 118541 = 20(x - 37414)", "Expand: 19x + 118541 = 20x - 748280", "Subtract 20x from both sides: -x + 118541 = -748280", "Subtract 118541 from both sides: -x = -866821", "Divide both sides by -1: x = 866821"], "final_answer": "866821", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x + 6239) = 20(x - 37414)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 6239, \"c\": 20, \"d\": 37414}", "seed": "8134374650554283713", "semantic_fingerprint": "sha256:4037c69a5bc7ce1a507dac761113b0e9b5a44b9b72af327b48eba95c238bfffd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004644", "prompt": "What is 3946 / (-1718 / (-41043))?", "solution_steps": ["Divide: -1718 / (-41043) = 1718/41043", "Divide: 3946 / (1718/41043) = 80977839/859"], "final_answer": "80977839/859", "answer_type": "rational", "kind": "expression", "math_text": "3946 / (-1718 / (-41043))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3946, \"b\": -1718, \"c\": -41043}", "seed": "15247614939982187832", "semantic_fingerprint": "sha256:7bc3770aa359eebf829f53b2492f17320b71d8c41a68ace70451e449876f9254", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004645", "prompt": "Compute: 7085 / 4219", "solution_steps": ["Divide: 7085 / 4219 = 7085/4219"], "final_answer": "7085/4219", "answer_type": "rational", "kind": "expression", "math_text": "7085 / 4219", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7085, \"b\": 4219}", "seed": "6842496509046178534", "semantic_fingerprint": "sha256:fe1dc885cc3843c4c3b20e83dc889a9fbc90e627a6437191b3b568dabf4c65e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004646", "prompt": "What is 19155 / 72067 - (-75156)?", "solution_steps": ["Divide: 19155 / 72067 = 19155/72067", "Subtract: 19155/72067 - (-75156) = 5416286607/72067"], "final_answer": "5416286607/72067", "answer_type": "rational", "kind": "expression", "math_text": "19155 / 72067 - (-75156)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19155, \"b\": 72067, \"c\": -75156}", "seed": "15361011965705264914", "semantic_fingerprint": "sha256:67293b7efe086d5a770e281d99ed6a62542349dfa083d4f52cbed7af12caa5f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004647", "prompt": "Compute: -74972 - (-3094) - (-6298)", "solution_steps": ["Subtract: -74972 - (-3094) = -71878", "Subtract: -71878 - (-6298) = -65580"], "final_answer": "-65580", "answer_type": "integer", "kind": "expression", "math_text": "-74972 - (-3094) - (-6298)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -74972, \"b\": -3094, \"c\": -6298}", "seed": "14290288490400061702", "semantic_fingerprint": "sha256:9001048f7e5d8418fd30b9b6d4436316c875517a37279c7b271956685aa6a29c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004648", "prompt": "Evaluate: 65409 / (-9846) + 7439", "solution_steps": ["Divide: 65409 / (-9846) = -21803/3282", "Add: -21803/3282 + 7439 = 24392995/3282"], "final_answer": "24392995/3282", "answer_type": "rational", "kind": "expression", "math_text": "65409 / (-9846) + 7439", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 65409, \"b\": -9846, \"c\": 7439}", "seed": "11494964430893640673", "semantic_fingerprint": "sha256:5187b478736a1dc39932019ee66c926c210bea38c2e35e6ac3020d345b14c7ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004649", "prompt": "Calculate: -38733 * (-9584 * 2529) / 2456", "solution_steps": ["Multiply: -9584 * 2529 = -24237936", "Multiply: -38733 * (-24237936) = 938807975088", "Divide: 938807975088 / 2456 = 117350996886/307"], "final_answer": "117350996886/307", "answer_type": "rational", "kind": "expression", "math_text": "-38733 * (-9584 * 2529) / 2456", "variable": null, "family": "expression_3op", "shape": "(/ (* n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38733, \"b\": -9584, \"c\": 2529, \"d\": 2456}", "seed": "8440318611847363832", "semantic_fingerprint": "sha256:e6fa3784e03a31a446470f91b143b20bbcac00dbedd1b53e57ca458e0a9fd782", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004650", "prompt": "What is -8739 * (-5057 / (-31190)) + (-6500)?", "solution_steps": ["Divide: -5057 / (-31190) = 5057/31190", "Multiply: -8739 * (5057/31190) = -44193123/31190", "Add: -44193123/31190 + (-6500) = -246928123/31190"], "final_answer": "-246928123/31190", "answer_type": "rational", "kind": "expression", "math_text": "-8739 * (-5057 / (-31190)) + (-6500)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8739, \"b\": -5057, \"c\": -31190, \"d\": -6500}", "seed": "11082317501687329667", "semantic_fingerprint": "sha256:0a135016bcabe9885f96b683309e49b2e5c97da73d4962d73d1a629ae55673e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004651", "prompt": "What value of x satisfies -19x - 66017 = 40(x - 69884) - 9879?", "solution_steps": ["Expand: -19x - 66017 = 40x - 2795360 - 9879", "Combine constants: -19x - 66017 = 40x - 2805239", "Subtract 40x from both sides: -59x - 66017 = -2805239", "Add 66017 to both sides: -59x = -2739222", "Divide both sides by -59: x = 2739222/59"], "final_answer": "2739222/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x - 66017 = 40(x - 69884) - 9879", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 66017, \"c\": 40, \"d\": 69884, \"e\": 9879}", "seed": "3510977217701369724", "semantic_fingerprint": "sha256:e111f1dd9da6c5a5f1346c62a15266e4bad83c66a9d30ca5735dfecfd5373030", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004652", "prompt": "What is 37917 / (-5537) + (-4875)?", "solution_steps": ["Divide: 37917 / (-5537) = -37917/5537", "Add: -37917/5537 + (-4875) = -27030792/5537"], "final_answer": "-27030792/5537", "answer_type": "rational", "kind": "expression", "math_text": "37917 / (-5537) + (-4875)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37917, \"b\": -5537, \"c\": -4875}", "seed": "14616684421563270970", "semantic_fingerprint": "sha256:e46a7659f1d037c4b8facce85021154107725ea18c960753d1c97b5f0c3faf94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004653", "prompt": "Evaluate: 3790 - (-13133) + (-2239)", "solution_steps": ["Subtract: 3790 - (-13133) = 16923", "Add: 16923 + (-2239) = 14684"], "final_answer": "14684", "answer_type": "integer", "kind": "expression", "math_text": "3790 - (-13133) + (-2239)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3790, \"b\": -13133, \"c\": -2239}", "seed": "13654543353845849595", "semantic_fingerprint": "sha256:70a2427ddf90747f523ed985f493a5e68768b9d6fefa13f20dbcbd2006efe622", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004654", "prompt": "Calculate: 6890 + 9800", "solution_steps": ["Add: 6890 + 9800 = 16690"], "final_answer": "16690", "answer_type": "integer", "kind": "expression", "math_text": "6890 + 9800", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6890, \"b\": 9800}", "seed": "2555828069491932801", "semantic_fingerprint": "sha256:08a9012b727a8eff3e035741fc8a2f5efb5c083990d9eab7db1b66ccaf95ac65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004655", "prompt": "Find x: x = 38(x - 21436)", "solution_steps": ["Expand: x = 38x - 814568", "Subtract 38x from both sides: -37x = -814568", "Divide both sides by -37: x = 814568/37"], "final_answer": "814568/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 38(x - 21436)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 21436}", "seed": "14311335641892698636", "semantic_fingerprint": "sha256:a89654491f83a5af1ec0c667bf74ecf8370c5bc1d951238c32c53e0d272c9e37", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004656", "prompt": "What is -3961 / (-92177)?", "solution_steps": ["Divide: -3961 / (-92177) = 3961/92177"], "final_answer": "3961/92177", "answer_type": "rational", "kind": "expression", "math_text": "-3961 / (-92177)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3961, \"b\": -92177}", "seed": "421271702891542716", "semantic_fingerprint": "sha256:2592c4104fc1c2e52404cb275aa41c8f16a608ef20771c91d9738202b26371c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004657", "prompt": "Find x: -13x - 10387 = -5433", "solution_steps": ["Add 10387 to both sides: -13x = 4954", "Divide both sides by -13: x = -4954/13"], "final_answer": "-4954/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x - 10387 = -5433", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 10387, \"c\": -5433}", "seed": "7330741888205556502", "semantic_fingerprint": "sha256:b69566231db4fc5976a6b395ef1d7f67ef4ebca4fc15355d2cffb243f514d976", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004658", "prompt": "What value of x satisfies 24x + 4248 = x - 3408?", "solution_steps": ["Subtract x from both sides: 23x + 4248 = -3408", "Subtract 4248 from both sides: 23x = -7656", "Divide both sides by 23: x = -7656/23"], "final_answer": "-7656/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x + 4248 = x - 3408", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 4248, \"c\": 3408}", "seed": "10838580145660932807", "semantic_fingerprint": "sha256:f56fb270db90d3a76e33243ff77f2450d5ecc24d6ecf1c10e67db9a890083f08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004659", "prompt": "Calculate: 26016 - 99509 * (-9570) + 8637", "solution_steps": ["Multiply: 99509 * (-9570) = -952301130", "Subtract: 26016 - (-952301130) = 952327146", "Add: 952327146 + 8637 = 952335783"], "final_answer": "952335783", "answer_type": "integer", "kind": "expression", "math_text": "26016 - 99509 * (-9570) + 8637", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26016, \"b\": 99509, \"c\": -9570, \"d\": 8637}", "seed": "11928832071193680092", "semantic_fingerprint": "sha256:a32afde417f9c7f0f7029110107989b827f716b59adf0caf19417e495f5fa30a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004660", "prompt": "Compute: 21147 + 7842 - (-66884) / 14823", "solution_steps": ["Add: 21147 + 7842 = 28989", "Divide: -66884 / 14823 = -66884/14823", "Subtract: 28989 - (-66884/14823) = 429770831/14823"], "final_answer": "429770831/14823", "answer_type": "rational", "kind": "expression", "math_text": "21147 + 7842 - (-66884) / 14823", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21147, \"b\": 7842, \"c\": -66884, \"d\": 14823}", "seed": "3004796302768345442", "semantic_fingerprint": "sha256:e87c0b7638bf784397c4b6be2bd1a4bd1653da868eaa7241909cb6737c1c3d56", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004661", "prompt": "Find x: 33(x + 2121) = 27x + 68793", "solution_steps": ["Expand: 33x + 69993 = 27x + 68793", "Subtract 27x from both sides: 6x + 69993 = 68793", "Subtract 69993 from both sides: 6x = -1200", "Divide both sides by 6: x = -200"], "final_answer": "-200", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x + 2121) = 27x + 68793", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 2121, \"c\": 27, \"e\": 68793, \"x\": -200}", "seed": "7859695697785606636", "semantic_fingerprint": "sha256:93edb7916fd5df7453e1a7f4718d6e4fe2fbabe03461936ec127ace716a65aa3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004662", "prompt": "Calculate: 7791 + (-3219) + 65879 * (-72038)", "solution_steps": ["Add: 7791 + (-3219) = 4572", "Multiply: 65879 * (-72038) = -4745791402", "Add: 4572 + (-4745791402) = -4745786830"], "final_answer": "-4745786830", "answer_type": "integer", "kind": "expression", "math_text": "7791 + (-3219) + 65879 * (-72038)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7791, \"b\": -3219, \"c\": 65879, \"d\": -72038}", "seed": "10558665617458771289", "semantic_fingerprint": "sha256:f1bf3483f327b4573d69eabd0163c992f8236a28805d08a3497dcd03bcabeb9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004663", "prompt": "Compute: -13591 / (-6476 / 8162)", "solution_steps": ["Divide: -6476 / 8162 = -3238/4081", "Divide: -13591 / (-3238/4081) = 55464871/3238"], "final_answer": "55464871/3238", "answer_type": "rational", "kind": "expression", "math_text": "-13591 / (-6476 / 8162)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13591, \"b\": -6476, \"c\": 8162}", "seed": "15917686591956720081", "semantic_fingerprint": "sha256:834d6177e8ad45212db9a262fd187c7f841874cce01a366dbe32df0a261c76ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004664", "prompt": "Compute: 4624 - (-5425 - 14820)", "solution_steps": ["Subtract: -5425 - 14820 = -20245", "Subtract: 4624 - (-20245) = 24869"], "final_answer": "24869", "answer_type": "integer", "kind": "expression", "math_text": "4624 - (-5425 - 14820)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4624, \"b\": -5425, \"c\": 14820}", "seed": "7711464133558696061", "semantic_fingerprint": "sha256:50102503aab143bdce7aec16463d64352222275c2d9c61197d6914dde28ec59c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004665", "prompt": "Compute: -43420 + (-11956 - (-3985))", "solution_steps": ["Subtract: -11956 - (-3985) = -7971", "Add: -43420 + (-7971) = -51391"], "final_answer": "-51391", "answer_type": "integer", "kind": "expression", "math_text": "-43420 + (-11956 - (-3985))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43420, \"b\": -11956, \"c\": -3985}", "seed": "3122208477699297523", "semantic_fingerprint": "sha256:b2c99f2f0b3203990d29c8082d7245042f7e940e0b5fa068f1caaccd252471d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004666", "prompt": "Calculate: 1067 / (-48549)", "solution_steps": ["Divide: 1067 / (-48549) = -1067/48549"], "final_answer": "-1067/48549", "answer_type": "rational", "kind": "expression", "math_text": "1067 / (-48549)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1067, \"b\": -48549}", "seed": "3433575076303678147", "semantic_fingerprint": "sha256:177b73933304f093bc49fc8f778012d179aa92d9e05f9cecf794e57e23daee9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004667", "prompt": "Solve for x: 16(x + 3767) - 58667 = x", "solution_steps": ["Expand: 16x + 60272 - 58667 = x", "Combine constants: 16x + 1605 = x", "Subtract x from both sides: 15x + 1605 = 0", "Subtract 1605 from both sides: 15x = -1605", "Divide both sides by 15: x = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 3767) - 58667 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3767, \"d\": -58667, \"x\": -107}", "seed": "2571731013010557506", "semantic_fingerprint": "sha256:04f15251d562d63e798edd8b3a42516969d36101af91540f2044995006e355c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004668", "prompt": "Find x: -37(x + 7798) = x - 49062", "solution_steps": ["Expand: -37x - 288526 = x - 49062", "Subtract x from both sides: -38x - 288526 = -49062", "Add 288526 to both sides: -38x = 239464", "Divide both sides by -38: x = -119732/19"], "final_answer": "-119732/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 7798) = x - 49062", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 7798, \"c\": 49062}", "seed": "17471172436803457154", "semantic_fingerprint": "sha256:780a1fc5f50a24b7f10e6b6ddc835d989602deeaa40d6ac6572ecf9b9b3a3d41", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004669", "prompt": "Find x: -19(x - 5106) = 93708", "solution_steps": ["Expand: -19x + 97014 = 93708", "Subtract 97014 from both sides: -19x = -3306", "Divide both sides by -19: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x - 5106) = 93708", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 5106, \"d\": 93708, \"x\": 174}", "seed": "10407768456074331066", "semantic_fingerprint": "sha256:c4a3207856d211d68e33d8d1bfe00e28b1d40569eb36bbe14b5680dc40be84fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004670", "prompt": "What is -7768 * 58683?", "solution_steps": ["Multiply: -7768 * 58683 = -455849544"], "final_answer": "-455849544", "answer_type": "integer", "kind": "expression", "math_text": "-7768 * 58683", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7768, \"b\": 58683}", "seed": "11094640462391086296", "semantic_fingerprint": "sha256:844308d7ef83f8c5f58175c0ee447218208d209435ba08f90bf2455eeb743eb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004671", "prompt": "Compute: 82490 * (-5024)", "solution_steps": ["Multiply: 82490 * (-5024) = -414429760"], "final_answer": "-414429760", "answer_type": "integer", "kind": "expression", "math_text": "82490 * (-5024)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 82490, \"b\": -5024}", "seed": "6244661783477945652", "semantic_fingerprint": "sha256:f2c63b0ae5710f3cca7a4c69f6c500e731eb6183a1e43725ad52c988c0544843", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004672", "prompt": "What is 46859 + (3413 + 47066)?", "solution_steps": ["Add: 3413 + 47066 = 50479", "Add: 46859 + 50479 = 97338"], "final_answer": "97338", "answer_type": "integer", "kind": "expression", "math_text": "46859 + (3413 + 47066)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46859, \"b\": 3413, \"c\": 47066}", "seed": "6997788508957792569", "semantic_fingerprint": "sha256:1646212e7f70edb2b82e09da42c20122dc918197e8aab8a6f266e18904d51067", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004673", "prompt": "Evaluate: 4029 - (-27939)", "solution_steps": ["Subtract: 4029 - (-27939) = 31968"], "final_answer": "31968", "answer_type": "integer", "kind": "expression", "math_text": "4029 - (-27939)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4029, \"b\": -27939}", "seed": "7818961505244395625", "semantic_fingerprint": "sha256:9cd91284897003122018a7f418b11d2d47ab8cbdddcf9d3ab5bab9b055bb6d46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004674", "prompt": "What is (25575 + (-65867)) * 4349?", "solution_steps": ["Add: 25575 + (-65867) = -40292", "Multiply: -40292 * 4349 = -175229908"], "final_answer": "-175229908", "answer_type": "integer", "kind": "expression", "math_text": "(25575 + (-65867)) * 4349", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25575, \"b\": -65867, \"c\": 4349}", "seed": "13768950523767929405", "semantic_fingerprint": "sha256:8f13a705a41b100e1642eeb3550b991ff297aff41e00e0c5b7f0466ff4e98de4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004675", "prompt": "Evaluate: 7144 / (-3812 - (-88357 + 66601))", "solution_steps": ["Add: -88357 + 66601 = -21756", "Subtract: -3812 - (-21756) = 17944", "Divide: 7144 / 17944 = 893/2243"], "final_answer": "893/2243", "answer_type": "rational", "kind": "expression", "math_text": "7144 / (-3812 - (-88357 + 66601))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7144, \"b\": -3812, \"c\": -88357, \"d\": 66601}", "seed": "15023405883850515105", "semantic_fingerprint": "sha256:45de8905c86e1f56df5c1fcb8f18506104f328205a67c7beae4c9a7d0eb87c5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004676", "prompt": "Calculate: -1181 + (-9878)", "solution_steps": ["Add: -1181 + (-9878) = -11059"], "final_answer": "-11059", "answer_type": "integer", "kind": "expression", "math_text": "-1181 + (-9878)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1181, \"b\": -9878}", "seed": "9467828222200075698", "semantic_fingerprint": "sha256:d66e5ba8b38fbbacc8ad451e46bf60d6ff2ec56b4af2f6360b127bae9b22c901", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004677", "prompt": "Evaluate: (-99311 - (-1008)) / (-91837 - (-81028)) * (-2054) - 7889", "solution_steps": ["Subtract: -99311 - (-1008) = -98303", "Subtract: -91837 - (-81028) = -10809", "Divide: -98303 / (-10809) = 98303/10809", "Multiply: (98303/10809) * (-2054) = -201914362/10809", "Subtract: -201914362/10809 - 7889 = -287186563/10809"], "final_answer": "-287186563/10809", "answer_type": "rational", "kind": "expression", "math_text": "(-99311 - (-1008)) / (-91837 - (-81028)) * (-2054) - 7889", "variable": null, "family": "expression_5op", "shape": "(- (* (/ (- n n) (- n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -99311, \"b\": -1008, \"c\": -91837, \"d\": -81028, \"e\": -2054, \"f\": 7889}", "seed": "3630559365592245303", "semantic_fingerprint": "sha256:e17ec96246b105f37dd50e852dace5c8e25751a4d178d861d7456c72b94c987a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004678", "prompt": "Solve for x: 22(x - 2948) - 7184 = 1410", "solution_steps": ["Expand: 22x - 64856 - 7184 = 1410", "Combine constants: 22x - 72040 = 1410", "Add 72040 to both sides: 22x = 73450", "Divide both sides by 22: x = 36725/11"], "final_answer": "36725/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 2948) - 7184 = 1410", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 2948, \"c\": 7184, \"d\": 1410}", "seed": "17175661506060316578", "semantic_fingerprint": "sha256:685200304e96583aa6984f64c7a677be75fa3600b71f279e7ab0452e900dc1d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004679", "prompt": "What is -4026 * 56994 * 4215?", "solution_steps": ["Multiply: -4026 * 56994 = -229457844", "Multiply: -229457844 * 4215 = -967164812460"], "final_answer": "-967164812460", "answer_type": "integer", "kind": "expression", "math_text": "-4026 * 56994 * 4215", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4026, \"b\": 56994, \"c\": 4215}", "seed": "10971081061066169482", "semantic_fingerprint": "sha256:e31dcd787e0975b05acffa2ab5319ba66e1efe3d6abe2296da96a21b83a8598a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004680", "prompt": "What value of x satisfies 23(x + 78276) = -19(x - 1352)?", "solution_steps": ["Expand: 23x + 1800348 = -19(x - 1352)", "Expand: 23x + 1800348 = -19x + 25688", "Add 19x to both sides: 42x + 1800348 = 25688", "Subtract 1800348 from both sides: 42x = -1774660", "Divide both sides by 42: x = -887330/21"], "final_answer": "-887330/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 78276) = -19(x - 1352)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 78276, \"c\": -19, \"d\": 1352}", "seed": "11515024790799815456", "semantic_fingerprint": "sha256:48512eef7d3ab6ab89d271a0d1265496fe81386f6074dbed003c17af6826ed5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004681", "prompt": "Compute: -4313 - (7429 / (-93528) - (-9657 + (-78418)))", "solution_steps": ["Divide: 7429 / (-93528) = -7429/93528", "Add: -9657 + (-78418) = -88075", "Subtract: -7429/93528 - (-88075) = 8237471171/93528", "Subtract: -4313 - 8237471171/93528 = -8640857435/93528"], "final_answer": "-8640857435/93528", "answer_type": "rational", "kind": "expression", "math_text": "-4313 - (7429 / (-93528) - (-9657 + (-78418)))", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4313, \"b\": 7429, \"c\": -93528, \"d\": -9657, \"e\": -78418}", "seed": "13735734352054030467", "semantic_fingerprint": "sha256:ca401327fc3728a5a178d6336ef46bd3da44852de6243b8c53bce94841d74373", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004682", "prompt": "Find x: x + 18660 = -26x + 16068", "solution_steps": ["Add 26x to both sides: 27x + 18660 = 16068", "Subtract 18660 from both sides: 27x = -2592", "Divide both sides by 27: x = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 18660 = -26x + 16068", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18660, \"b\": -26, \"d\": 16068, \"x\": -96}", "seed": "8371668195379753861", "semantic_fingerprint": "sha256:72e8c706e2396902c6516c3b22d81386bf0f75676d8478b85df5069f70c15b5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004683", "prompt": "What is 90482 + (-3592 - (-9610))?", "solution_steps": ["Subtract: -3592 - (-9610) = 6018", "Add: 90482 + 6018 = 96500"], "final_answer": "96500", "answer_type": "integer", "kind": "expression", "math_text": "90482 + (-3592 - (-9610))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90482, \"b\": -3592, \"c\": -9610}", "seed": "209449644189059753", "semantic_fingerprint": "sha256:eb181ba9f700990ffababf6de94434c1e4997bfe10928ec382cb4902edb8990a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004684", "prompt": "What is 12773 * (-5750)?", "solution_steps": ["Multiply: 12773 * (-5750) = -73444750"], "final_answer": "-73444750", "answer_type": "integer", "kind": "expression", "math_text": "12773 * (-5750)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 12773, \"b\": -5750}", "seed": "1036922443966302439", "semantic_fingerprint": "sha256:35445068cfedf77a6b885753c3757ade93dd163a81d4dea4c79ad7ed70acb928", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004685", "prompt": "Compute: (13638 - (-13177 - 8331 + 4693)) / 59469", "solution_steps": ["Subtract: -13177 - 8331 = -21508", "Add: -21508 + 4693 = -16815", "Subtract: 13638 - (-16815) = 30453", "Divide: 30453 / 59469 = 10151/19823"], "final_answer": "10151/19823", "answer_type": "rational", "kind": "expression", "math_text": "(13638 - (-13177 - 8331 + 4693)) / 59469", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13638, \"b\": -13177, \"c\": 8331, \"d\": 4693, \"e\": 59469}", "seed": "3888761778474942953", "semantic_fingerprint": "sha256:6d3df029b6b0a723d8aaeb2a6161535b2023a69f6cfcb7fba4e4c552d90d9691", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004686", "prompt": "Solve the equation 30x = -16x - 1278 for x.", "solution_steps": ["Add 16x to both sides: 46x = -1278", "Divide both sides by 46: x = -639/23"], "final_answer": "-639/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "30x = -16x - 1278", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": -16, \"c\": 1278}", "seed": "5915029530292020118", "semantic_fingerprint": "sha256:09193eb6ba8b1e5987a24f99472d09916f48edc9e5dfdf6fee01886fb67d76ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004687", "prompt": "Solve the equation -18(x - 4830) - 5789 = 30x - 8623 for x.", "solution_steps": ["Expand: -18x + 86940 - 5789 = 30x - 8623", "Combine constants: -18x + 81151 = 30x - 8623", "Subtract 30x from both sides: -48x + 81151 = -8623", "Subtract 81151 from both sides: -48x = -89774", "Divide both sides by -48: x = 44887/24"], "final_answer": "44887/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x - 4830) - 5789 = 30x - 8623", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 4830, \"c\": 5789, \"d\": 30, \"e\": 8623}", "seed": "48244135211050214", "semantic_fingerprint": "sha256:bee0356683ab684ba73ebb0b524394f3bebeaceb725429388351af1481b238a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004688", "prompt": "What is -9450 * (-29713) - (-3328) / 1989?", "solution_steps": ["Multiply: -9450 * (-29713) = 280787850", "Divide: -3328 / 1989 = -256/153", "Subtract: 280787850 - (-256/153) = 42960541306/153"], "final_answer": "42960541306/153", "answer_type": "rational", "kind": "expression", "math_text": "-9450 * (-29713) - (-3328) / 1989", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9450, \"b\": -29713, \"c\": -3328, \"d\": 1989}", "seed": "9246710774084514972", "semantic_fingerprint": "sha256:75afa046233313093cec85d29b7972ed5ade71b9855241e8a595929bf9a01406", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004689", "prompt": "Compute: -4398 - (-8168)", "solution_steps": ["Subtract: -4398 - (-8168) = 3770"], "final_answer": "3770", "answer_type": "integer", "kind": "expression", "math_text": "-4398 - (-8168)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4398, \"b\": -8168}", "seed": "6518803655388173390", "semantic_fingerprint": "sha256:bb8fcb6a2f5772e735025c158eb440de61b247994dc70310aab368d849b1e866", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004690", "prompt": "Calculate: 7268 * 6310", "solution_steps": ["Multiply: 7268 * 6310 = 45861080"], "final_answer": "45861080", "answer_type": "integer", "kind": "expression", "math_text": "7268 * 6310", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7268, \"b\": 6310}", "seed": "12195013278170120523", "semantic_fingerprint": "sha256:40b17221ee0605c292f3d650d0413f1a2dad9ba7c604830722f49e522f162087", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004691", "prompt": "What is -54675 - (-4618) - (-36569 + (-8915))?", "solution_steps": ["Subtract: -54675 - (-4618) = -50057", "Add: -36569 + (-8915) = -45484", "Subtract: -50057 - (-45484) = -4573"], "final_answer": "-4573", "answer_type": "integer", "kind": "expression", "math_text": "-54675 - (-4618) - (-36569 + (-8915))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -54675, \"b\": -4618, \"c\": -36569, \"d\": -8915}", "seed": "12881610936445466580", "semantic_fingerprint": "sha256:d672bee93975bf04b5aecbd5342674b35ae35faef2296913832ae0283c4eac18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004692", "prompt": "Compute: 6016 * 9361", "solution_steps": ["Multiply: 6016 * 9361 = 56315776"], "final_answer": "56315776", "answer_type": "integer", "kind": "expression", "math_text": "6016 * 9361", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6016, \"b\": 9361}", "seed": "7283379437411938954", "semantic_fingerprint": "sha256:1b5dec7b10137d41ab7a3f406165bf8bcd986ebd68564f6d069555c6df624b00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004693", "prompt": "Solve the equation 21x = 22(x + 1791) for x.", "solution_steps": ["Expand: 21x = 22x + 39402", "Subtract 22x from both sides: -x = 39402", "Divide both sides by -1: x = -39402"], "final_answer": "-39402", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = 22(x + 1791)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 22, \"c\": 1791}", "seed": "4207664048077547935", "semantic_fingerprint": "sha256:41ceb59bc8500a0c6d473480c6df38e9037446909cda103d38b219e0b452ee25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004694", "prompt": "What is 6753 - 36242?", "solution_steps": ["Subtract: 6753 - 36242 = -29489"], "final_answer": "-29489", "answer_type": "integer", "kind": "expression", "math_text": "6753 - 36242", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6753, \"b\": 36242}", "seed": "1589751742342435809", "semantic_fingerprint": "sha256:4a79071ddab08ab544f479a76485cfea16c5097a6801b62b0edc686fbd4b5a65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004695", "prompt": "Solve the equation 34(x + 4451) = 36(x - 60404) for x.", "solution_steps": ["Expand: 34x + 151334 = 36(x - 60404)", "Expand: 34x + 151334 = 36x - 2174544", "Subtract 36x from both sides: -2x + 151334 = -2174544", "Subtract 151334 from both sides: -2x = -2325878", "Divide both sides by -2: x = 1162939"], "final_answer": "1162939", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x + 4451) = 36(x - 60404)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 4451, \"c\": 36, \"d\": 60404}", "seed": "16824346930147256947", "semantic_fingerprint": "sha256:cf54de9d4028cf5f6a5ddabf4b953c596e8ef24c2ded17a9696049d69952c5d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004696", "prompt": "Evaluate: -8869 + (-6162 + (-61408) / 33732)", "solution_steps": ["Divide: -61408 / 33732 = -15352/8433", "Add: -6162 + (-15352/8433) = -51979498/8433", "Add: -8869 + (-51979498/8433) = -126771775/8433"], "final_answer": "-126771775/8433", "answer_type": "rational", "kind": "expression", "math_text": "-8869 + (-6162 + (-61408) / 33732)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8869, \"b\": -6162, \"c\": -61408, \"d\": 33732}", "seed": "7935268120139625838", "semantic_fingerprint": "sha256:f20701768a1a6c3e31ad9e6773055d7a2c26aa74d31bc1584df4f0efe7b1653a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004697", "prompt": "What is 80479 * (-5374) - (2991 - 6846)?", "solution_steps": ["Multiply: 80479 * (-5374) = -432494146", "Subtract: 2991 - 6846 = -3855", "Subtract: -432494146 - (-3855) = -432490291"], "final_answer": "-432490291", "answer_type": "integer", "kind": "expression", "math_text": "80479 * (-5374) - (2991 - 6846)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 80479, \"b\": -5374, \"c\": 2991, \"d\": 6846}", "seed": "10984841332355336481", "semantic_fingerprint": "sha256:f26678aef743fd7cb05888af6cc4c79271cea42e33786ec8c3c1546eaa228ea7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004698", "prompt": "Calculate: 4752 * 3554", "solution_steps": ["Multiply: 4752 * 3554 = 16888608"], "final_answer": "16888608", "answer_type": "integer", "kind": "expression", "math_text": "4752 * 3554", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4752, \"b\": 3554}", "seed": "3688102742552636868", "semantic_fingerprint": "sha256:99f389b6487009bdf5caac811349aefaeb1a427d64f6334aca3bfaf0391667b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004699", "prompt": "Calculate: 8858 * 3483 - 89478 / 4773 + (-3955)", "solution_steps": ["Multiply: 8858 * 3483 = 30852414", "Divide: 89478 / 4773 = 29826/1591", "Subtract: 30852414 - 29826/1591 = 49086160848/1591", "Add: 49086160848/1591 + (-3955) = 49079868443/1591"], "final_answer": "49079868443/1591", "answer_type": "rational", "kind": "expression", "math_text": "8858 * 3483 - 89478 / 4773 + (-3955)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8858, \"b\": 3483, \"c\": 89478, \"d\": 4773, \"e\": -3955}", "seed": "2459335405932905044", "semantic_fingerprint": "sha256:2988295ffcd9000c80569dd62538dd88030a739f1c3d2786d4853e7b7f845bc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004700", "prompt": "Calculate: -8255 / (83792 + 91719 + 5768)", "solution_steps": ["Add: 83792 + 91719 = 175511", "Add: 175511 + 5768 = 181279", "Divide: -8255 / 181279 = -8255/181279"], "final_answer": "-8255/181279", "answer_type": "rational", "kind": "expression", "math_text": "-8255 / (83792 + 91719 + 5768)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8255, \"b\": 83792, \"c\": 91719, \"d\": 5768}", "seed": "11829033769280287126", "semantic_fingerprint": "sha256:eae52865fe9ae016416aac58fb5160ca557760d4d2e4d9d35b5c0797ae0032b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004701", "prompt": "Evaluate: 24231 / (-1275) + 6558", "solution_steps": ["Divide: 24231 / (-1275) = -8077/425", "Add: -8077/425 + 6558 = 2779073/425"], "final_answer": "2779073/425", "answer_type": "rational", "kind": "expression", "math_text": "24231 / (-1275) + 6558", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 24231, \"b\": -1275, \"c\": 6558}", "seed": "9969036337058131494", "semantic_fingerprint": "sha256:118fb1f73baeb2ea93c15cff11b1755f16c04fb98e129634b1eab00720fa9fa3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004702", "prompt": "Compute: -9968 / 7727", "solution_steps": ["Divide: -9968 / 7727 = -9968/7727"], "final_answer": "-9968/7727", "answer_type": "rational", "kind": "expression", "math_text": "-9968 / 7727", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9968, \"b\": 7727}", "seed": "3520125467977553652", "semantic_fingerprint": "sha256:5fc5e77bced312dd0e581ca65df65b5fcfd20e3d41dc287d90d5af9736f06bca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004703", "prompt": "What is 91712 / (4094 - (-10187))?", "solution_steps": ["Subtract: 4094 - (-10187) = 14281", "Divide: 91712 / 14281 = 91712/14281"], "final_answer": "91712/14281", "answer_type": "rational", "kind": "expression", "math_text": "91712 / (4094 - (-10187))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91712, \"b\": 4094, \"c\": -10187}", "seed": "7669092189904182870", "semantic_fingerprint": "sha256:a8f60ec0119f3db84e458a353d997600161d1cb8a412dfe17ff6de1e80d48120", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004704", "prompt": "What is 9963 - (59162 - 8553)?", "solution_steps": ["Subtract: 59162 - 8553 = 50609", "Subtract: 9963 - 50609 = -40646"], "final_answer": "-40646", "answer_type": "integer", "kind": "expression", "math_text": "9963 - (59162 - 8553)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9963, \"b\": 59162, \"c\": 8553}", "seed": "7194455273430102965", "semantic_fingerprint": "sha256:da075a1d710d2b3d8bcc274b2717f00453ba9032b84ac6c24383c1fe2edc896a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004705", "prompt": "Solve the equation 20(x + 23521) - 5048 = 16x - 6428 for x.", "solution_steps": ["Expand: 20x + 470420 - 5048 = 16x - 6428", "Combine constants: 20x + 465372 = 16x - 6428", "Subtract 16x from both sides: 4x + 465372 = -6428", "Subtract 465372 from both sides: 4x = -471800", "Divide both sides by 4: x = -117950"], "final_answer": "-117950", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 23521) - 5048 = 16x - 6428", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 23521, \"c\": 5048, \"d\": 16, \"e\": 6428}", "seed": "6288139059626903660", "semantic_fingerprint": "sha256:53cb143bc5a2365e247e636ec2e747032b4cf400ef86b811d5b916dc73b01c0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004706", "prompt": "Compute: -8340 * (-7533 - (-5471 + 21603))", "solution_steps": ["Add: -5471 + 21603 = 16132", "Subtract: -7533 - 16132 = -23665", "Multiply: -8340 * (-23665) = 197366100"], "final_answer": "197366100", "answer_type": "integer", "kind": "expression", "math_text": "-8340 * (-7533 - (-5471 + 21603))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8340, \"b\": -7533, \"c\": -5471, \"d\": 21603}", "seed": "8903909852282258596", "semantic_fingerprint": "sha256:6ba63cc629601aba552e2f5c6748171d63df5bb698085f9b25bd0f8c4026be7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004707", "prompt": "Solve the equation -15(x - 8170) = x + 38847 for x.", "solution_steps": ["Expand: -15x + 122550 = x + 38847", "Subtract x from both sides: -16x + 122550 = 38847", "Subtract 122550 from both sides: -16x = -83703", "Divide both sides by -16: x = 83703/16"], "final_answer": "83703/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x - 8170) = x + 38847", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 8170, \"c\": 38847}", "seed": "8792999039483738348", "semantic_fingerprint": "sha256:45b625979d3e3c0db2b88f5cafdb683a47f9e87a5e601464568bcffeff2e5a57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004708", "prompt": "Calculate: (53725 - 4901 + (-61806 + 4167) - (-2335)) / 9049", "solution_steps": ["Subtract: 53725 - 4901 = 48824", "Add: -61806 + 4167 = -57639", "Add: 48824 + (-57639) = -8815", "Subtract: -8815 - (-2335) = -6480", "Divide: -6480 / 9049 = -6480/9049"], "final_answer": "-6480/9049", "answer_type": "rational", "kind": "expression", "math_text": "(53725 - 4901 + (-61806 + 4167) - (-2335)) / 9049", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 53725, \"b\": 4901, \"c\": -61806, \"d\": 4167, \"e\": -2335, \"f\": 9049}", "seed": "17378510609897805684", "semantic_fingerprint": "sha256:f883fbaba5604b121e8c4d6058f7a3d08a33ae40141df80d19aade488344215d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004709", "prompt": "Calculate: (-30967 + (-6372)) * (-2399) / (-54621) + (-38203)", "solution_steps": ["Add: -30967 + (-6372) = -37339", "Multiply: -37339 * (-2399) = 89576261", "Divide: 89576261 / (-54621) = -89576261/54621", "Add: -89576261/54621 + (-38203) = -2176262324/54621"], "final_answer": "-2176262324/54621", "answer_type": "rational", "kind": "expression", "math_text": "(-30967 + (-6372)) * (-2399) / (-54621) + (-38203)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30967, \"b\": -6372, \"c\": -2399, \"d\": -54621, \"e\": -38203}", "seed": "4304585109282883159", "semantic_fingerprint": "sha256:e18acbb0111144ffe7cff90af2c92b10c11812a42b00ae94f5cf4f438c3bb45f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004710", "prompt": "What is 40014 * 4033?", "solution_steps": ["Multiply: 40014 * 4033 = 161376462"], "final_answer": "161376462", "answer_type": "integer", "kind": "expression", "math_text": "40014 * 4033", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 40014, \"b\": 4033}", "seed": "3261639532103100704", "semantic_fingerprint": "sha256:fe7122461af685a551250d50aaa1699675a7b2133da7b253b77ad4e770a97bcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004711", "prompt": "Compute: 4742 / (-2158)", "solution_steps": ["Divide: 4742 / (-2158) = -2371/1079"], "final_answer": "-2371/1079", "answer_type": "rational", "kind": "expression", "math_text": "4742 / (-2158)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4742, \"b\": -2158}", "seed": "11241772645611040767", "semantic_fingerprint": "sha256:6aa5dff0a912941d01904de7777ce542187d9ce81009a6f401f58a21d0e0dbf4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004712", "prompt": "Evaluate: 8773 + 78437 * (-39647) / (85823 - (8980 - 3361))", "solution_steps": ["Multiply: 78437 * (-39647) = -3109791739", "Subtract: 8980 - 3361 = 5619", "Subtract: 85823 - 5619 = 80204", "Divide: -3109791739 / 80204 = -3109791739/80204", "Add: 8773 + (-3109791739/80204) = -2406162047/80204"], "final_answer": "-2406162047/80204", "answer_type": "rational", "kind": "expression", "math_text": "8773 + 78437 * (-39647) / (85823 - (8980 - 3361))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (* n n) (- n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8773, \"b\": 78437, \"c\": -39647, \"d\": 85823, \"e\": 8980, \"f\": 3361}", "seed": "996344635933557114", "semantic_fingerprint": "sha256:7f5e0613e8f422f661ffdbe7d0473f05a2237c7c8853f1c5b3a2f5689cdf4341", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004713", "prompt": "What is -9384 / (76753 / (-7005))?", "solution_steps": ["Divide: 76753 / (-7005) = -76753/7005", "Divide: -9384 / (-76753/7005) = 65734920/76753"], "final_answer": "65734920/76753", "answer_type": "rational", "kind": "expression", "math_text": "-9384 / (76753 / (-7005))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9384, \"b\": 76753, \"c\": -7005}", "seed": "6930252721113097482", "semantic_fingerprint": "sha256:9b0da114a4e501af83a7be6010e472c6f2715da1c8d9edc9230dfb48403e2f4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004714", "prompt": "Calculate: (-70755 - (-44485)) * (-79205) + (-7155) * 5815", "solution_steps": ["Subtract: -70755 - (-44485) = -26270", "Multiply: -26270 * (-79205) = 2080715350", "Multiply: -7155 * 5815 = -41606325", "Add: 2080715350 + (-41606325) = 2039109025"], "final_answer": "2039109025", "answer_type": "integer", "kind": "expression", "math_text": "(-70755 - (-44485)) * (-79205) + (-7155) * 5815", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -70755, \"b\": -44485, \"c\": -79205, \"d\": -7155, \"e\": 5815}", "seed": "7249301675229265838", "semantic_fingerprint": "sha256:3df7f96fb16b581022066d6266d5a97fa86dfc1253494fb1e6a081e488642901", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004715", "prompt": "Evaluate: 25469 * 9792 / (76698 - (-4154))", "solution_steps": ["Multiply: 25469 * 9792 = 249392448", "Subtract: 76698 - (-4154) = 80852", "Divide: 249392448 / 80852 = 3667536/1189"], "final_answer": "3667536/1189", "answer_type": "rational", "kind": "expression", "math_text": "25469 * 9792 / (76698 - (-4154))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25469, \"b\": 9792, \"c\": 76698, \"d\": -4154}", "seed": "3520085726592566152", "semantic_fingerprint": "sha256:132755a22e7ca1dbcd3abcba8f6aabc8cf9524f028697e0533ba8df65852a2f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004716", "prompt": "What is -9284 / (-6294) * (-1063 - 5634)?", "solution_steps": ["Divide: -9284 / (-6294) = 4642/3147", "Subtract: -1063 - 5634 = -6697", "Multiply: (4642/3147) * (-6697) = -31087474/3147"], "final_answer": "-31087474/3147", "answer_type": "rational", "kind": "expression", "math_text": "-9284 / (-6294) * (-1063 - 5634)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9284, \"b\": -6294, \"c\": -1063, \"d\": 5634}", "seed": "18057548514312288855", "semantic_fingerprint": "sha256:0857031ad2722c94488646a992bc52013535592460e9431d28b1dd28b0bc0696", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004717", "prompt": "Compute: 80159 / (-4958)", "solution_steps": ["Divide: 80159 / (-4958) = -80159/4958"], "final_answer": "-80159/4958", "answer_type": "rational", "kind": "expression", "math_text": "80159 / (-4958)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 80159, \"b\": -4958}", "seed": "8550786809304181487", "semantic_fingerprint": "sha256:6345a2eec1ceeb2f954c089f895b4f9d3876f540572b6740f288aa1ffda83edc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004718", "prompt": "What is (35188 - (-59128)) / (6654 - (-8464)) + (-6953)?", "solution_steps": ["Subtract: 35188 - (-59128) = 94316", "Subtract: 6654 - (-8464) = 15118", "Divide: 94316 / 15118 = 47158/7559", "Add: 47158/7559 + (-6953) = -52510569/7559"], "final_answer": "-52510569/7559", "answer_type": "rational", "kind": "expression", "math_text": "(35188 - (-59128)) / (6654 - (-8464)) + (-6953)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35188, \"b\": -59128, \"c\": 6654, \"d\": -8464, \"e\": -6953}", "seed": "4043366201295449600", "semantic_fingerprint": "sha256:d7a13ae0a4b27d4513643db1f7dc23cb9bee1cc93ab8be22bb6c84b221611a59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004719", "prompt": "Evaluate: -18010 * (-8712)", "solution_steps": ["Multiply: -18010 * (-8712) = 156903120"], "final_answer": "156903120", "answer_type": "integer", "kind": "expression", "math_text": "-18010 * (-8712)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -18010, \"b\": -8712}", "seed": "306594590865847114", "semantic_fingerprint": "sha256:d8a6eed3d7b5865568f384795baf516a898f0c61bf06e1086c400f60dc6a0b3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004720", "prompt": "Compute: 6615 - (-9083)", "solution_steps": ["Subtract: 6615 - (-9083) = 15698"], "final_answer": "15698", "answer_type": "integer", "kind": "expression", "math_text": "6615 - (-9083)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6615, \"b\": -9083}", "seed": "10680748479058956581", "semantic_fingerprint": "sha256:4f4610e56cd6ae56c5c2f053c9821c778ffe482af932028d3cc4653097f2d8a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004721", "prompt": "Find x: 36x + 64169 = 71261", "solution_steps": ["Subtract 64169 from both sides: 36x = 7092", "Divide both sides by 36: x = 197"], "final_answer": "197", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x + 64169 = 71261", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 64169, \"d\": 71261, \"x\": 197}", "seed": "12975802324275263296", "semantic_fingerprint": "sha256:7b3c53a38291110d0d2b98db2e7385f5f0dbf0a4ce8e04dcd3e3216e4a161bd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004722", "prompt": "Solve the equation 15(x + 7876) = x for x.", "solution_steps": ["Expand: 15x + 118140 = x", "Subtract x from both sides: 14x + 118140 = 0", "Subtract 118140 from both sides: 14x = -118140", "Divide both sides by 14: x = -59070/7"], "final_answer": "-59070/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 7876) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 7876}", "seed": "3029973128171606884", "semantic_fingerprint": "sha256:9b768776f808c0cdfca30875f175359154a74d3954483769efeaaaa2d7bb6736", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004723", "prompt": "Solve for x: -28(x - 2889) + 5382 = 27(x + 3217) + 3995", "solution_steps": ["Expand: -28x + 80892 + 5382 = 27(x + 3217) + 3995", "Expand: -28x + 80892 + 5382 = 27x + 86859 + 3995", "Combine constants: -28x + 86274 = 27x + 86859 + 3995", "Combine constants: -28x + 86274 = 27x + 90854", "Subtract 27x from both sides: -55x + 86274 = 90854", "Subtract 86274 from both sides: -55x = 4580", "Divide both sides by -55: x = -916/11"], "final_answer": "-916/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-28(x - 2889) + 5382 = 27(x + 3217) + 3995", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 2889, \"c\": 5382, \"d\": 27, \"e\": 3217, \"f\": 3995}", "seed": "7522812826977097908", "semantic_fingerprint": "sha256:47bf174045bb631e83db194845c6b1a684d157b295d190047b8cc27a890ed75c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004724", "prompt": "What value of x satisfies 18x + 62886 = 35x?", "solution_steps": ["Subtract 35x from both sides: -17x + 62886 = 0", "Subtract 62886 from both sides: -17x = -62886", "Divide both sides by -17: x = 62886/17"], "final_answer": "62886/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x + 62886 = 35x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 62886, \"c\": 35}", "seed": "15867525094845411443", "semantic_fingerprint": "sha256:007e6bfbdac311811cd1beb74fdfdf9043dda13c8b246b59bf447d3d022db980", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004725", "prompt": "Find x: 26(x - 7070) = 36x", "solution_steps": ["Expand: 26x - 183820 = 36x", "Subtract 36x from both sides: -10x - 183820 = 0", "Add 183820 to both sides: -10x = 183820", "Divide both sides by -10: x = -18382"], "final_answer": "-18382", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x - 7070) = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 7070, \"c\": 36}", "seed": "7879922479274198782", "semantic_fingerprint": "sha256:5feb825292b102f3ae274e79d0a0d7972eb498b538fafa5cdf9bdc2f5956ed61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004726", "prompt": "Find x: x = -38x + 1287", "solution_steps": ["Add 38x to both sides: 39x = 1287", "Divide both sides by 39: x = 33"], "final_answer": "33", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -38x + 1287", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -38, \"c\": 1287, \"x\": 33}", "seed": "2506699768651237088", "semantic_fingerprint": "sha256:9d639e55dea5e60b5cd1b8778953dff172fba0da43bb99b8be6043192177763e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004727", "prompt": "Compute: -2028 / 12621 - 70672", "solution_steps": ["Divide: -2028 / 12621 = -676/4207", "Subtract: -676/4207 - 70672 = -297317780/4207"], "final_answer": "-297317780/4207", "answer_type": "rational", "kind": "expression", "math_text": "-2028 / 12621 - 70672", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2028, \"b\": 12621, \"c\": 70672}", "seed": "13780866248329304377", "semantic_fingerprint": "sha256:7480bd76c43b5a4881b5d27df2900d9da29eff8ffee759635a3b4ba846f1c462", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004728", "prompt": "What value of x satisfies 32x + 1563 = 38(x + 55340) + 2500?", "solution_steps": ["Expand: 32x + 1563 = 38x + 2102920 + 2500", "Combine constants: 32x + 1563 = 38x + 2105420", "Subtract 38x from both sides: -6x + 1563 = 2105420", "Subtract 1563 from both sides: -6x = 2103857", "Divide both sides by -6: x = -2103857/6"], "final_answer": "-2103857/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x + 1563 = 38(x + 55340) + 2500", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1563, \"c\": 38, \"d\": 55340, \"e\": 2500}", "seed": "335904225063216294", "semantic_fingerprint": "sha256:8b69aca5b1a2b566180c104e3ed3364b245d0fece16993622264b60afd4d3cce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004729", "prompt": "Calculate: 19318 / (2317 + (-1152 + (-9824)))", "solution_steps": ["Add: -1152 + (-9824) = -10976", "Add: 2317 + (-10976) = -8659", "Divide: 19318 / (-8659) = -19318/8659"], "final_answer": "-19318/8659", "answer_type": "rational", "kind": "expression", "math_text": "19318 / (2317 + (-1152 + (-9824)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19318, \"b\": 2317, \"c\": -1152, \"d\": -9824}", "seed": "7901749872807368097", "semantic_fingerprint": "sha256:19a948150e40bdaebb7c4ac4c542813b8312dde9425cff0d16c4d74f18308141", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004730", "prompt": "Evaluate: (2619 + 14265) / (-4633)", "solution_steps": ["Add: 2619 + 14265 = 16884", "Divide: 16884 / (-4633) = -16884/4633"], "final_answer": "-16884/4633", "answer_type": "rational", "kind": "expression", "math_text": "(2619 + 14265) / (-4633)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2619, \"b\": 14265, \"c\": -4633}", "seed": "5180562404590469130", "semantic_fingerprint": "sha256:324dcbfb483ccffc01059895fc8ddbb9f6c6e9a3e013cc103b1c8dbb4ec718f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004731", "prompt": "What value of x satisfies x + 5501 = 22x?", "solution_steps": ["Subtract 22x from both sides: -21x + 5501 = 0", "Subtract 5501 from both sides: -21x = -5501", "Divide both sides by -21: x = 5501/21"], "final_answer": "5501/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5501 = 22x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5501, \"b\": 22}", "seed": "9516372297185006095", "semantic_fingerprint": "sha256:de18982cfeaec53779382d5d48eee02ef9f5859de978c5a52bc2b5e79bb2f5d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004732", "prompt": "What value of x satisfies x + 56783 = 56980?", "solution_steps": ["Subtract 56783 from both sides: x = 197"], "final_answer": "197", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 56783 = 56980", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56783, \"c\": 56980, \"x\": 197}", "seed": "14360654074232473256", "semantic_fingerprint": "sha256:b0d1b91779ef147b5220b5372a8f66d531e42d75936a516fd2770c9f4c9e87b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004733", "prompt": "Compute: -3104 * (-59861)", "solution_steps": ["Multiply: -3104 * (-59861) = 185808544"], "final_answer": "185808544", "answer_type": "integer", "kind": "expression", "math_text": "-3104 * (-59861)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3104, \"b\": -59861}", "seed": "10784031548957770874", "semantic_fingerprint": "sha256:9d3c1abfae914a24ea30c4db80012f71064361687daf55828abb75049c9d25be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004734", "prompt": "What value of x satisfies 40x = 31x?", "solution_steps": ["Subtract 31x from both sides: 9x = 0", "Divide both sides by 9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = 31x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 31}", "seed": "9639717673108152875", "semantic_fingerprint": "sha256:baef49e1f3a4b39da7e903c852184deaaccba8b3b651a1edbdf13526141c70c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004735", "prompt": "Compute: (6003 - 4914 + (9662 + (-1189))) / (-2948 - (-5695))", "solution_steps": ["Subtract: 6003 - 4914 = 1089", "Add: 9662 + (-1189) = 8473", "Add: 1089 + 8473 = 9562", "Subtract: -2948 - (-5695) = 2747", "Divide: 9562 / 2747 = 9562/2747"], "final_answer": "9562/2747", "answer_type": "rational", "kind": "expression", "math_text": "(6003 - 4914 + (9662 + (-1189))) / (-2948 - (-5695))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6003, \"b\": 4914, \"c\": 9662, \"d\": -1189, \"e\": -2948, \"f\": -5695}", "seed": "17214267069411182041", "semantic_fingerprint": "sha256:2e5cbaf34bf037c427dfaf54e2cd6584531cef1a85080e4df6d51744a8597ffb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004736", "prompt": "Calculate: (-54629 - 39646) * (-5459 + 71259)", "solution_steps": ["Subtract: -54629 - 39646 = -94275", "Add: -5459 + 71259 = 65800", "Multiply: -94275 * 65800 = -6203295000"], "final_answer": "-6203295000", "answer_type": "integer", "kind": "expression", "math_text": "(-54629 - 39646) * (-5459 + 71259)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -54629, \"b\": 39646, \"c\": -5459, \"d\": 71259}", "seed": "7584888177546365763", "semantic_fingerprint": "sha256:e54cc11d80e3e59745cf0bd075ec2e36c4ee85e4eddb14500ddfa33f9e141ec3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004737", "prompt": "Compute: (-9206 - 3674) / (9323 + (-67256) + (1925 + (-79923)))", "solution_steps": ["Subtract: -9206 - 3674 = -12880", "Add: 9323 + (-67256) = -57933", "Add: 1925 + (-79923) = -77998", "Add: -57933 + (-77998) = -135931", "Divide: -12880 / (-135931) = 12880/135931"], "final_answer": "12880/135931", "answer_type": "rational", "kind": "expression", "math_text": "(-9206 - 3674) / (9323 + (-67256) + (1925 + (-79923)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9206, \"b\": 3674, \"c\": 9323, \"d\": -67256, \"e\": 1925, \"f\": -79923}", "seed": "1597269292029436773", "semantic_fingerprint": "sha256:0ab2ad35f032a295c4ea4d55b8c8a0115b6d791aa3b314572874c8e3ae0990cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004738", "prompt": "Evaluate: -4920 - (-28888)", "solution_steps": ["Subtract: -4920 - (-28888) = 23968"], "final_answer": "23968", "answer_type": "integer", "kind": "expression", "math_text": "-4920 - (-28888)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4920, \"b\": -28888}", "seed": "8992062519748836577", "semantic_fingerprint": "sha256:486fa9cbcbbc37e38747a7d298711a612042a181f556df6778cc9c390d8fc9e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004739", "prompt": "What is (-9431 - (-22677)) * 5900 / (-6156)?", "solution_steps": ["Subtract: -9431 - (-22677) = 13246", "Multiply: 13246 * 5900 = 78151400", "Divide: 78151400 / (-6156) = -19537850/1539"], "final_answer": "-19537850/1539", "answer_type": "rational", "kind": "expression", "math_text": "(-9431 - (-22677)) * 5900 / (-6156)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9431, \"b\": -22677, \"c\": 5900, \"d\": -6156}", "seed": "13515409378307299090", "semantic_fingerprint": "sha256:b39dcf209bf1b37e024feb53f51012202a3d87f72d9b7151c037d0a0e4a75546", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004740", "prompt": "Evaluate: 8164 + (-6232 - 74427 / (-3241 + 9895))", "solution_steps": ["Add: -3241 + 9895 = 6654", "Divide: 74427 / 6654 = 24809/2218", "Subtract: -6232 - 24809/2218 = -13847385/2218", "Add: 8164 + (-13847385/2218) = 4260367/2218"], "final_answer": "4260367/2218", "answer_type": "rational", "kind": "expression", "math_text": "8164 + (-6232 - 74427 / (-3241 + 9895))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (/ n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8164, \"b\": -6232, \"c\": 74427, \"d\": -3241, \"e\": 9895}", "seed": "13451186257998200689", "semantic_fingerprint": "sha256:6469fb984c67e0411900da3bfc4f28fb3caf8c40130b71ab58630896a5c2de50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004741", "prompt": "Solve the equation 25x = 34(x - 7047) for x.", "solution_steps": ["Expand: 25x = 34x - 239598", "Subtract 34x from both sides: -9x = -239598", "Divide both sides by -9: x = 26622"], "final_answer": "26622", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x = 34(x - 7047)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 34, \"c\": 7047}", "seed": "15384431376187278984", "semantic_fingerprint": "sha256:6317864455dc17b66a3e8fb2ac4bff213ae5cf9b2746618e786d7cfedba91d8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004742", "prompt": "Solve for x: -38(x - 4830) = x + 4777", "solution_steps": ["Expand: -38x + 183540 = x + 4777", "Subtract x from both sides: -39x + 183540 = 4777", "Subtract 183540 from both sides: -39x = -178763", "Divide both sides by -39: x = 13751/3"], "final_answer": "13751/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x - 4830) = x + 4777", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 4830, \"c\": 4777}", "seed": "10049980483827954136", "semantic_fingerprint": "sha256:141b878631f7605aa24d619eecc7b71524bd7458290cae731630d364a13277f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004743", "prompt": "Compute: 1295 / 8297 + (-57456)", "solution_steps": ["Divide: 1295 / 8297 = 1295/8297", "Add: 1295/8297 + (-57456) = -476711137/8297"], "final_answer": "-476711137/8297", "answer_type": "rational", "kind": "expression", "math_text": "1295 / 8297 + (-57456)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1295, \"b\": 8297, \"c\": -57456}", "seed": "17261696779794645195", "semantic_fingerprint": "sha256:04145c0358c15c8c571ecb780f4ee46211577a334b29b4ebba20626ec2ff8318", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004744", "prompt": "What is -63266 + (-14126)?", "solution_steps": ["Add: -63266 + (-14126) = -77392"], "final_answer": "-77392", "answer_type": "integer", "kind": "expression", "math_text": "-63266 + (-14126)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -63266, \"b\": -14126}", "seed": "11591620870247596048", "semantic_fingerprint": "sha256:fd8be540b3dc77d380605ee2755f171bb7a85d2fbadb7090fe19d8698a653726", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004745", "prompt": "Solve for x: 14x - 79326 = -77338", "solution_steps": ["Add 79326 to both sides: 14x = 1988", "Divide both sides by 14: x = 142"], "final_answer": "142", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x - 79326 = -77338", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 79326, \"d\": -77338, \"x\": 142}", "seed": "7338614672260207379", "semantic_fingerprint": "sha256:b01e201bbcb9183b668c58325d6642fdbe4c65362ef73c6fa6abd49930d1c3ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004746", "prompt": "Evaluate: 3158 / 7090 - 8636", "solution_steps": ["Divide: 3158 / 7090 = 1579/3545", "Subtract: 1579/3545 - 8636 = -30613041/3545"], "final_answer": "-30613041/3545", "answer_type": "rational", "kind": "expression", "math_text": "3158 / 7090 - 8636", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3158, \"b\": 7090, \"c\": 8636}", "seed": "1455068106042713179", "semantic_fingerprint": "sha256:6cb0a180cf203b643ac44ee012571c576ae3178f55d3c7246043ad88011f5749", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004747", "prompt": "Evaluate: 47890 - (-5676 / 28268 + 6558)", "solution_steps": ["Divide: -5676 / 28268 = -1419/7067", "Add: -1419/7067 + 6558 = 46343967/7067", "Subtract: 47890 - 46343967/7067 = 292094663/7067"], "final_answer": "292094663/7067", "answer_type": "rational", "kind": "expression", "math_text": "47890 - (-5676 / 28268 + 6558)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 47890, \"b\": -5676, \"c\": 28268, \"d\": 6558}", "seed": "13093737026864208023", "semantic_fingerprint": "sha256:79490c5961c165639a99a0da98a7d26831ce831eace2561f430bd888c0153b3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004748", "prompt": "Evaluate: -6937 * (-64750 / (-9881))", "solution_steps": ["Divide: -64750 / (-9881) = 64750/9881", "Multiply: -6937 * (64750/9881) = -449170750/9881"], "final_answer": "-449170750/9881", "answer_type": "rational", "kind": "expression", "math_text": "-6937 * (-64750 / (-9881))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6937, \"b\": -64750, \"c\": -9881}", "seed": "3108900314640800863", "semantic_fingerprint": "sha256:b4bfd29f09c7aa21e65dea51259dafedb622a8af1f173a4afba49357eb0e95ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004749", "prompt": "Compute: 97307 / (7728 + 2110)", "solution_steps": ["Add: 7728 + 2110 = 9838", "Divide: 97307 / 9838 = 97307/9838"], "final_answer": "97307/9838", "answer_type": "rational", "kind": "expression", "math_text": "97307 / (7728 + 2110)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 97307, \"b\": 7728, \"c\": 2110}", "seed": "16994271346867713156", "semantic_fingerprint": "sha256:c71b347d9b091818bb5f8d5f001b2a1063e3ef32f28a01941378a99b64153dd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004750", "prompt": "What is -1775 * 2330?", "solution_steps": ["Multiply: -1775 * 2330 = -4135750"], "final_answer": "-4135750", "answer_type": "integer", "kind": "expression", "math_text": "-1775 * 2330", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1775, \"b\": 2330}", "seed": "1628764380929383371", "semantic_fingerprint": "sha256:9ed365115a0792ec478f70a1837144a4454927db325366701c51234ce11bd536", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004751", "prompt": "What is -23994 / 7875?", "solution_steps": ["Divide: -23994 / 7875 = -2666/875"], "final_answer": "-2666/875", "answer_type": "rational", "kind": "expression", "math_text": "-23994 / 7875", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23994, \"b\": 7875}", "seed": "9126178918930836982", "semantic_fingerprint": "sha256:8e240158340322d403fcf2574d144a62001665deb782b0a753a584b1d62ffbf2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004752", "prompt": "What is 4137 / 68901 - (-92946) - 65743 + 3801?", "solution_steps": ["Divide: 4137 / 68901 = 197/3281", "Subtract: 197/3281 - (-92946) = 304956023/3281", "Subtract: 304956023/3281 - 65743 = 89253240/3281", "Add: 89253240/3281 + 3801 = 101724321/3281"], "final_answer": "101724321/3281", "answer_type": "rational", "kind": "expression", "math_text": "4137 / 68901 - (-92946) - 65743 + 3801", "variable": null, "family": "expression_4op", "shape": "(+ (- (- (/ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4137, \"b\": 68901, \"c\": -92946, \"d\": 65743, \"e\": 3801}", "seed": "18327396481081154535", "semantic_fingerprint": "sha256:36ccee0e4478288bb33d27afd2f2711801276b178986858e8d8e0a517db708dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004753", "prompt": "Solve the equation x + 5887 = 21x + 7591 for x.", "solution_steps": ["Subtract 21x from both sides: -20x + 5887 = 7591", "Subtract 5887 from both sides: -20x = 1704", "Divide both sides by -20: x = -426/5"], "final_answer": "-426/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5887 = 21x + 7591", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5887, \"b\": 21, \"c\": 7591}", "seed": "15698190036743301915", "semantic_fingerprint": "sha256:d70d8f2d9769f09e896af07829db9da9432a936322de64bb295e7768f0933bcc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004754", "prompt": "Evaluate: (-7370 - 82289 + (-6219)) / (-70019)", "solution_steps": ["Subtract: -7370 - 82289 = -89659", "Add: -89659 + (-6219) = -95878", "Divide: -95878 / (-70019) = 95878/70019"], "final_answer": "95878/70019", "answer_type": "rational", "kind": "expression", "math_text": "(-7370 - 82289 + (-6219)) / (-70019)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7370, \"b\": 82289, \"c\": -6219, \"d\": -70019}", "seed": "1928214131918784741", "semantic_fingerprint": "sha256:0888d81d5beeb4d7ead84d8f79b2bacb50d02af25ca761a8984cd445b8cd12f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004755", "prompt": "Calculate: 6369 / (-46759) * (-1393)", "solution_steps": ["Divide: 6369 / (-46759) = -6369/46759", "Multiply: (-6369/46759) * (-1393) = 8872017/46759"], "final_answer": "8872017/46759", "answer_type": "rational", "kind": "expression", "math_text": "6369 / (-46759) * (-1393)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6369, \"b\": -46759, \"c\": -1393}", "seed": "18221879102008649701", "semantic_fingerprint": "sha256:182d5c64f30908d0b52afbe71d295a56966b946e6a63dde33f69b7724396cf9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004756", "prompt": "Find x: 22x - 22283 = 40(x - 73036) - 74047", "solution_steps": ["Expand: 22x - 22283 = 40x - 2921440 - 74047", "Combine constants: 22x - 22283 = 40x - 2995487", "Subtract 40x from both sides: -18x - 22283 = -2995487", "Add 22283 to both sides: -18x = -2973204", "Divide both sides by -18: x = 165178"], "final_answer": "165178", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x - 22283 = 40(x - 73036) - 74047", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 22283, \"c\": 40, \"d\": 73036, \"e\": 74047}", "seed": "17085464715168248532", "semantic_fingerprint": "sha256:bd0a971079d7a2e94dba7c27e9b4a8fb26716f23d1514e295ced1ff0790f5420", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004757", "prompt": "What value of x satisfies x + 8452 = 22x + 10531?", "solution_steps": ["Subtract 22x from both sides: -21x + 8452 = 10531", "Subtract 8452 from both sides: -21x = 2079", "Divide both sides by -21: x = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8452 = 22x + 10531", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8452, \"b\": 22, \"d\": 10531, \"x\": -99}", "seed": "8980120675468578589", "semantic_fingerprint": "sha256:97ff7ca5219b60617f486941554f74daeda5b4eb5a9d94fbd9efed362fada269", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004758", "prompt": "Compute: -7357 * (-1434)", "solution_steps": ["Multiply: -7357 * (-1434) = 10549938"], "final_answer": "10549938", "answer_type": "integer", "kind": "expression", "math_text": "-7357 * (-1434)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7357, \"b\": -1434}", "seed": "16818220996947859072", "semantic_fingerprint": "sha256:82f5dcd137d1024e339dc8d5bf6b04259a045138adc4a2742eda2eaed9d84a0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004759", "prompt": "Solve the equation -39x - 5480 = x for x.", "solution_steps": ["Subtract x from both sides: -40x - 5480 = 0", "Add 5480 to both sides: -40x = 5480", "Divide both sides by -40: x = -137"], "final_answer": "-137", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x - 5480 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"c\": -5480, \"x\": -137}", "seed": "11423127900418469783", "semantic_fingerprint": "sha256:b498ee5dc302e31bd5b41f16e61aabbf676fc16570cecdb6285d041004a596ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004760", "prompt": "Solve the equation 24x = -23x + 2209 for x.", "solution_steps": ["Add 23x to both sides: 47x = 2209", "Divide both sides by 47: x = 47"], "final_answer": "47", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x = -23x + 2209", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": -23, \"d\": 2209, \"x\": 47}", "seed": "8428311421871852057", "semantic_fingerprint": "sha256:c36d0e6482edeea5db7e037a83f054bd71712b968211e74972468cb52e5b095e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004761", "prompt": "What is 45970 - 55849 + (-7275)?", "solution_steps": ["Subtract: 45970 - 55849 = -9879", "Add: -9879 + (-7275) = -17154"], "final_answer": "-17154", "answer_type": "integer", "kind": "expression", "math_text": "45970 - 55849 + (-7275)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 45970, \"b\": 55849, \"c\": -7275}", "seed": "10638770228601405769", "semantic_fingerprint": "sha256:30ece98811601bb9e40ac6e0de581cb23922c19160476edfffbb12b3b4ed1b48", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004762", "prompt": "Calculate: -91021 * (64183 + (-94035) + (-36459 - 88022))", "solution_steps": ["Add: 64183 + (-94035) = -29852", "Subtract: -36459 - 88022 = -124481", "Add: -29852 + (-124481) = -154333", "Multiply: -91021 * (-154333) = 14047543993"], "final_answer": "14047543993", "answer_type": "integer", "kind": "expression", "math_text": "-91021 * (64183 + (-94035) + (-36459 - 88022))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -91021, \"b\": 64183, \"c\": -94035, \"d\": -36459, \"e\": 88022}", "seed": "18218916660150015184", "semantic_fingerprint": "sha256:7b8a624ea4a779468d9eb994d07a4b96e8e8aa4ff6db7064f9d6c8c075139296", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004763", "prompt": "Calculate: 40168 * (-2595 / (-9496 - (-5236)))", "solution_steps": ["Subtract: -9496 - (-5236) = -4260", "Divide: -2595 / (-4260) = 173/284", "Multiply: 40168 * (173/284) = 1737266/71"], "final_answer": "1737266/71", "answer_type": "rational", "kind": "expression", "math_text": "40168 * (-2595 / (-9496 - (-5236)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40168, \"b\": -2595, \"c\": -9496, \"d\": -5236}", "seed": "7058586390492617963", "semantic_fingerprint": "sha256:7941de0ad22a8972b9069b22fd533d7b1193eeb2ec15c74f115fa2402023ce13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004764", "prompt": "What value of x satisfies -13(x + 17628) = -27x?", "solution_steps": ["Expand: -13x - 229164 = -27x", "Add 27x to both sides: 14x - 229164 = 0", "Add 229164 to both sides: 14x = 229164", "Divide both sides by 14: x = 114582/7"], "final_answer": "114582/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 17628) = -27x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 17628, \"c\": -27}", "seed": "4116526989949053905", "semantic_fingerprint": "sha256:44a352d8d11011905b5524f2f532de7c2a8a7784e38ab25e9fe32f00542669ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004765", "prompt": "Calculate: 1960 / (6457 - (-83971 - (-8846)) - 1853)", "solution_steps": ["Subtract: -83971 - (-8846) = -75125", "Subtract: 6457 - (-75125) = 81582", "Subtract: 81582 - 1853 = 79729", "Divide: 1960 / 79729 = 1960/79729"], "final_answer": "1960/79729", "answer_type": "rational", "kind": "expression", "math_text": "1960 / (6457 - (-83971 - (-8846)) - 1853)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1960, \"b\": 6457, \"c\": -83971, \"d\": -8846, \"e\": 1853}", "seed": "1874706708168482220", "semantic_fingerprint": "sha256:c25ede0d47e43203bdda6c95be14d6051a19437b444465553de67c8c268ad4f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004766", "prompt": "Evaluate: -64285 / 36813 + (-8586)", "solution_steps": ["Divide: -64285 / 36813 = -64285/36813", "Add: -64285/36813 + (-8586) = -316140703/36813"], "final_answer": "-316140703/36813", "answer_type": "rational", "kind": "expression", "math_text": "-64285 / 36813 + (-8586)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64285, \"b\": 36813, \"c\": -8586}", "seed": "6240497977172999731", "semantic_fingerprint": "sha256:57d1ebf56f89d5e4a233ec4709f0341549252b28031a02131a9b15ca06c8a237", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004767", "prompt": "Calculate: 7659 + (-6501 * (-3826) + 7521)", "solution_steps": ["Multiply: -6501 * (-3826) = 24872826", "Add: 24872826 + 7521 = 24880347", "Add: 7659 + 24880347 = 24888006"], "final_answer": "24888006", "answer_type": "integer", "kind": "expression", "math_text": "7659 + (-6501 * (-3826) + 7521)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7659, \"b\": -6501, \"c\": -3826, \"d\": 7521}", "seed": "18290260856339764302", "semantic_fingerprint": "sha256:8cafe20b79e44b4983f4afcf34f2b62bb7817e379c5ae343761749f2b94f4dff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004768", "prompt": "What is -20810 * (20093 / 4259 - 10481)?", "solution_steps": ["Divide: 20093 / 4259 = 20093/4259", "Subtract: 20093/4259 - 10481 = -44618486/4259", "Multiply: -20810 * (-44618486/4259) = 928510693660/4259"], "final_answer": "928510693660/4259", "answer_type": "rational", "kind": "expression", "math_text": "-20810 * (20093 / 4259 - 10481)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -20810, \"b\": 20093, \"c\": 4259, \"d\": 10481}", "seed": "2151987754317942545", "semantic_fingerprint": "sha256:f5f04052d0c11b96d0b9d4ff21ce741cef6c97b264b8db418b99d33c58f6958c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004769", "prompt": "What is -1379 / 4107 + 51297 + 74453 + 41103?", "solution_steps": ["Divide: -1379 / 4107 = -1379/4107", "Add: -1379/4107 + 51297 = 210675400/4107", "Add: 210675400/4107 + 74453 = 516453871/4107", "Add: 516453871/4107 + 41103 = 685263892/4107"], "final_answer": "685263892/4107", "answer_type": "rational", "kind": "expression", "math_text": "-1379 / 4107 + 51297 + 74453 + 41103", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1379, \"b\": 4107, \"c\": 51297, \"d\": 74453, \"e\": 41103}", "seed": "8718705578181353290", "semantic_fingerprint": "sha256:d129a54894524eb26b1f2358827dd03b5f7097b464eb7353b85282ae28b39b26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004770", "prompt": "What value of x satisfies -19(x + 9515) = 19x - 5079?", "solution_steps": ["Expand: -19x - 180785 = 19x - 5079", "Subtract 19x from both sides: -38x - 180785 = -5079", "Add 180785 to both sides: -38x = 175706", "Divide both sides by -38: x = -87853/19"], "final_answer": "-87853/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 9515) = 19x - 5079", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 9515, \"c\": 19, \"d\": 5079}", "seed": "5613739304692737742", "semantic_fingerprint": "sha256:cc5ede9c0b235ac791019a75c1958b60603ccf30e76801c50ce41bee8cb7b466", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004771", "prompt": "Calculate: 75786 / (-66037) - 35546", "solution_steps": ["Divide: 75786 / (-66037) = -75786/66037", "Subtract: -75786/66037 - 35546 = -2347426988/66037"], "final_answer": "-2347426988/66037", "answer_type": "rational", "kind": "expression", "math_text": "75786 / (-66037) - 35546", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75786, \"b\": -66037, \"c\": 35546}", "seed": "7949992991300370721", "semantic_fingerprint": "sha256:b271a66fbcd65ea8e16ab40db279759a99284eb40f5e71fff806ecd543f46027", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004772", "prompt": "Solve the equation 28x = -4648 for x.", "solution_steps": ["Divide both sides by 28: x = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = -4648", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": -4648, \"x\": -166}", "seed": "15259880667914694380", "semantic_fingerprint": "sha256:f1dd8925be8e53eb93563b00e3c177fbdc481ee1ab51849daebe1219cfc1f661", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004773", "prompt": "Compute: 34020 + (-5303)", "solution_steps": ["Add: 34020 + (-5303) = 28717"], "final_answer": "28717", "answer_type": "integer", "kind": "expression", "math_text": "34020 + (-5303)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 34020, \"b\": -5303}", "seed": "1994685134260006443", "semantic_fingerprint": "sha256:32343dee8d0d0f76304efa3b425d0754df42d6d2127399a4891e375c0ea67e6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004774", "prompt": "Find x: x = 18(x + 4284)", "solution_steps": ["Expand: x = 18x + 77112", "Subtract 18x from both sides: -17x = 77112", "Divide both sides by -17: x = -4536"], "final_answer": "-4536", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 18(x + 4284)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 4284}", "seed": "375511992199658439", "semantic_fingerprint": "sha256:275038bf6a60ef2d4c08a978756d856f8ece32ed994a777035a96c899a9235fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004775", "prompt": "What is (-54107 * (-2335) - (-17833)) / (5957 + 36794)?", "solution_steps": ["Multiply: -54107 * (-2335) = 126339845", "Subtract: 126339845 - (-17833) = 126357678", "Add: 5957 + 36794 = 42751", "Divide: 126357678 / 42751 = 126357678/42751"], "final_answer": "126357678/42751", "answer_type": "rational", "kind": "expression", "math_text": "(-54107 * (-2335) - (-17833)) / (5957 + 36794)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -54107, \"b\": -2335, \"c\": -17833, \"d\": 5957, \"e\": 36794}", "seed": "11803874443824902605", "semantic_fingerprint": "sha256:e4e4a9f008bd4eff06295e06ede32793b28eae32e6a9158bea2346542725c9f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004776", "prompt": "Compute: 4585 * (-5837 / 50603) - (9527 * 2156 - 2433)", "solution_steps": ["Divide: -5837 / 50603 = -5837/50603", "Multiply: 4585 * (-5837/50603) = -3823235/7229", "Multiply: 9527 * 2156 = 20540212", "Subtract: 20540212 - 2433 = 20537779", "Subtract: -3823235/7229 - 20537779 = -148471427626/7229"], "final_answer": "-148471427626/7229", "answer_type": "rational", "kind": "expression", "math_text": "4585 * (-5837 / 50603) - (9527 * 2156 - 2433)", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ n n)) (- (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4585, \"b\": -5837, \"c\": 50603, \"d\": 9527, \"e\": 2156, \"f\": 2433}", "seed": "5431983524682318024", "semantic_fingerprint": "sha256:1ac541a705cab4c87a141f3e454574af7e75240d0dad6055aa181ac2830051f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004777", "prompt": "Compute: 21166 + 4508", "solution_steps": ["Add: 21166 + 4508 = 25674"], "final_answer": "25674", "answer_type": "integer", "kind": "expression", "math_text": "21166 + 4508", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 21166, \"b\": 4508}", "seed": "6526108222981033055", "semantic_fingerprint": "sha256:54667d2b6ba518c76ecc025cd11f7dc884263f7fd9013809d82e7544634f3f3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004778", "prompt": "Calculate: -9025 / (-6152)", "solution_steps": ["Divide: -9025 / (-6152) = 9025/6152"], "final_answer": "9025/6152", "answer_type": "rational", "kind": "expression", "math_text": "-9025 / (-6152)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9025, \"b\": -6152}", "seed": "11821657652672026951", "semantic_fingerprint": "sha256:a731ba2091b8f0999915d78e30ea49642c6c0c82f50dd52cfcff9b465d989bd0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004779", "prompt": "Compute: -64528 / (-75674 - 8121)", "solution_steps": ["Subtract: -75674 - 8121 = -83795", "Divide: -64528 / (-83795) = 64528/83795"], "final_answer": "64528/83795", "answer_type": "rational", "kind": "expression", "math_text": "-64528 / (-75674 - 8121)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64528, \"b\": -75674, \"c\": 8121}", "seed": "10924575465961247858", "semantic_fingerprint": "sha256:a60f0ec5a7146fb156e251e956a446b4c0cb78160c6f0a0d78c7f0db520ce1eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004780", "prompt": "Calculate: -5635 / (-9798 / 33755)", "solution_steps": ["Divide: -9798 / 33755 = -9798/33755", "Divide: -5635 / (-9798/33755) = 8269975/426"], "final_answer": "8269975/426", "answer_type": "rational", "kind": "expression", "math_text": "-5635 / (-9798 / 33755)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5635, \"b\": -9798, \"c\": 33755}", "seed": "3286445728770384078", "semantic_fingerprint": "sha256:eec8510461c3084ae96d49f3b458c3c55fd86ec8f1925ca3009847fda74d7ee0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004781", "prompt": "Solve the equation -19x = x - 3879 for x.", "solution_steps": ["Subtract x from both sides: -20x = -3879", "Divide both sides by -20: x = 3879/20"], "final_answer": "3879/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x = x - 3879", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 3879}", "seed": "3009845608538724163", "semantic_fingerprint": "sha256:fb34bbe77b39af2d6d2fe2f8ec434527d511df07b424b91aa00f6d644aede7d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004782", "prompt": "What value of x satisfies 30x - 1305 = x?", "solution_steps": ["Subtract x from both sides: 29x - 1305 = 0", "Add 1305 to both sides: 29x = 1305", "Divide both sides by 29: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x - 1305 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": -1305, \"x\": 45}", "seed": "6780317834114300378", "semantic_fingerprint": "sha256:5698e317b85964e388229b6bcf4177e8296ad33be360a3de5ba65897b80d6e9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004783", "prompt": "Evaluate: -2553 - (-9717) - (-2943 + 1659)", "solution_steps": ["Subtract: -2553 - (-9717) = 7164", "Add: -2943 + 1659 = -1284", "Subtract: 7164 - (-1284) = 8448"], "final_answer": "8448", "answer_type": "integer", "kind": "expression", "math_text": "-2553 - (-9717) - (-2943 + 1659)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2553, \"b\": -9717, \"c\": -2943, \"d\": 1659}", "seed": "11631844994523547241", "semantic_fingerprint": "sha256:3a7e40e26534482b092d67eae5917b4d0e2f43f7982525a4ff1f0ddcc36deaaa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004784", "prompt": "Calculate: -2908 + (-35535) / 80889 + (-2241)", "solution_steps": ["Divide: -35535 / 80889 = -11845/26963", "Add: -2908 + (-11845/26963) = -78420249/26963", "Add: -78420249/26963 + (-2241) = -138844332/26963"], "final_answer": "-138844332/26963", "answer_type": "rational", "kind": "expression", "math_text": "-2908 + (-35535) / 80889 + (-2241)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2908, \"b\": -35535, \"c\": 80889, \"d\": -2241}", "seed": "11060170247470073253", "semantic_fingerprint": "sha256:fdb891d4cc73cd7759664be4bf37753a082d8f310728fdcf5cdc105849149bb8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004785", "prompt": "Find x: -22x = 24(x - 5318) + 2153", "solution_steps": ["Expand: -22x = 24x - 127632 + 2153", "Combine constants: -22x = 24x - 125479", "Subtract 24x from both sides: -46x = -125479", "Divide both sides by -46: x = 125479/46"], "final_answer": "125479/46", "answer_type": "rational", "kind": "linear_equation", "math_text": "-22x = 24(x - 5318) + 2153", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 24, \"c\": 5318, \"d\": 2153}", "seed": "13509318837124318788", "semantic_fingerprint": "sha256:1487c2a3f523fb2f64a4be58544e176ae74ffc9930b92c91523c79d15a052394", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004786", "prompt": "What is (93811 - 6433) * 5583 + 18840?", "solution_steps": ["Subtract: 93811 - 6433 = 87378", "Multiply: 87378 * 5583 = 487831374", "Add: 487831374 + 18840 = 487850214"], "final_answer": "487850214", "answer_type": "integer", "kind": "expression", "math_text": "(93811 - 6433) * 5583 + 18840", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 93811, \"b\": 6433, \"c\": 5583, \"d\": 18840}", "seed": "11541338640016387393", "semantic_fingerprint": "sha256:be2aee6b6b7b68361a1b1f6a8443438393f97b85b6b925b561d896beee74e7f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004787", "prompt": "Evaluate: -37326 - 87198", "solution_steps": ["Subtract: -37326 - 87198 = -124524"], "final_answer": "-124524", "answer_type": "integer", "kind": "expression", "math_text": "-37326 - 87198", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -37326, \"b\": 87198}", "seed": "7519975011047009722", "semantic_fingerprint": "sha256:28d6350cb3ad9fba7d61a2ceebbf82b6984271292072c56d97f2448a6a8e635c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004788", "prompt": "Solve the equation x - 3150 = 17(x + 1136) - 77784 for x.", "solution_steps": ["Expand: x - 3150 = 17x + 19312 - 77784", "Combine constants: x - 3150 = 17x - 58472", "Subtract 17x from both sides: -16x - 3150 = -58472", "Add 3150 to both sides: -16x = -55322", "Divide both sides by -16: x = 27661/8"], "final_answer": "27661/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3150 = 17(x + 1136) - 77784", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3150, \"b\": 17, \"c\": 1136, \"d\": 77784}", "seed": "1933117542165382662", "semantic_fingerprint": "sha256:f72853c2b45a1411ff0bae0e32cf0df43725936f67805f95a7745c657b976649", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004789", "prompt": "Calculate: -2760 - (-5363) + 80067", "solution_steps": ["Subtract: -2760 - (-5363) = 2603", "Add: 2603 + 80067 = 82670"], "final_answer": "82670", "answer_type": "integer", "kind": "expression", "math_text": "-2760 - (-5363) + 80067", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2760, \"b\": -5363, \"c\": 80067}", "seed": "18347772573439895344", "semantic_fingerprint": "sha256:13ee5c2ca76c7d74d2a283bdf13c895501b4608c80c5152bce9396d92af82b59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004790", "prompt": "What is 8471 + (-4186 + (-41273 + (-70522))) - (-9900)?", "solution_steps": ["Add: -41273 + (-70522) = -111795", "Add: -4186 + (-111795) = -115981", "Add: 8471 + (-115981) = -107510", "Subtract: -107510 - (-9900) = -97610"], "final_answer": "-97610", "answer_type": "integer", "kind": "expression", "math_text": "8471 + (-4186 + (-41273 + (-70522))) - (-9900)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8471, \"b\": -4186, \"c\": -41273, \"d\": -70522, \"e\": -9900}", "seed": "14134511970545989017", "semantic_fingerprint": "sha256:cdc93b3e800b01fe9147891bf3198cf096ec688254dc6c9ad05806fd2a5bd094", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004791", "prompt": "Compute: -2067 * (-9493) + (42012 + (-3388))", "solution_steps": ["Multiply: -2067 * (-9493) = 19622031", "Add: 42012 + (-3388) = 38624", "Add: 19622031 + 38624 = 19660655"], "final_answer": "19660655", "answer_type": "integer", "kind": "expression", "math_text": "-2067 * (-9493) + (42012 + (-3388))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2067, \"b\": -9493, \"c\": 42012, \"d\": -3388}", "seed": "4106085211490580209", "semantic_fingerprint": "sha256:2ee5f61b0dfef137e52377f36e814bc15231d6abaa2aa71463a06831d22d3710", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004792", "prompt": "Solve the equation 40(x + 7775) + 1368 = -28(x + 1286) for x.", "solution_steps": ["Expand: 40x + 311000 + 1368 = -28(x + 1286)", "Expand: 40x + 311000 + 1368 = -28x - 36008", "Combine constants: 40x + 312368 = -28x - 36008", "Add 28x to both sides: 68x + 312368 = -36008", "Subtract 312368 from both sides: 68x = -348376", "Divide both sides by 68: x = -87094/17"], "final_answer": "-87094/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 7775) + 1368 = -28(x + 1286)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 7775, \"c\": 1368, \"d\": -28, \"e\": 1286}", "seed": "619843603013523665", "semantic_fingerprint": "sha256:92af7af019cbc7c2d17c8df8002bbf7bdca16ee939fa92fd4620f21a3d584fd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004793", "prompt": "What is -8191 + (2907 - (-96081) / (-52620 / 24528))?", "solution_steps": ["Divide: -52620 / 24528 = -4385/2044", "Divide: -96081 / (-4385/2044) = 196389564/4385", "Subtract: 2907 - 196389564/4385 = -183642369/4385", "Add: -8191 + (-183642369/4385) = -219559904/4385"], "final_answer": "-219559904/4385", "answer_type": "rational", "kind": "expression", "math_text": "-8191 + (2907 - (-96081) / (-52620 / 24528))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (/ n (/ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8191, \"b\": 2907, \"c\": -96081, \"d\": -52620, \"e\": 24528}", "seed": "13112250641520551590", "semantic_fingerprint": "sha256:65159cad408d3d48f749c4275c7b47e4ebbdb9539dd55f58af6eecf6da0a0a2a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004794", "prompt": "Evaluate: (-1588 + 88024 + 2830) / (9740 + (-48155))", "solution_steps": ["Add: -1588 + 88024 = 86436", "Add: 86436 + 2830 = 89266", "Add: 9740 + (-48155) = -38415", "Divide: 89266 / (-38415) = -89266/38415"], "final_answer": "-89266/38415", "answer_type": "rational", "kind": "expression", "math_text": "(-1588 + 88024 + 2830) / (9740 + (-48155))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1588, \"b\": 88024, \"c\": 2830, \"d\": 9740, \"e\": -48155}", "seed": "10257288921131074418", "semantic_fingerprint": "sha256:b11d8d619cca543c14a56076ea885e0e8d21f733ce5c4db52358d6ba142cd050", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004795", "prompt": "What value of x satisfies x - 61384 = -61336?", "solution_steps": ["Add 61384 to both sides: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 61384 = -61336", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61384, \"c\": -61336, \"x\": 48}", "seed": "14169433035284372782", "semantic_fingerprint": "sha256:bbcfbe6c0e231b022d61acbb0d23696b03b08c56b263c9253580c601260934ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004796", "prompt": "What is 9376 * (-2381) * (36324 - (-2032))?", "solution_steps": ["Multiply: 9376 * (-2381) = -22324256", "Subtract: 36324 - (-2032) = 38356", "Multiply: -22324256 * 38356 = -856269163136"], "final_answer": "-856269163136", "answer_type": "integer", "kind": "expression", "math_text": "9376 * (-2381) * (36324 - (-2032))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9376, \"b\": -2381, \"c\": 36324, \"d\": -2032}", "seed": "4882008399599470602", "semantic_fingerprint": "sha256:775480e75efcaec48558150d8b8e5056dae90ffdfdf288dd7f8f6858b21f9fdc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004797", "prompt": "Calculate: (-35515 * 5474 + (-5287)) / (9483 - 83079)", "solution_steps": ["Multiply: -35515 * 5474 = -194409110", "Add: -194409110 + (-5287) = -194414397", "Subtract: 9483 - 83079 = -73596", "Divide: -194414397 / (-73596) = 64804799/24532"], "final_answer": "64804799/24532", "answer_type": "rational", "kind": "expression", "math_text": "(-35515 * 5474 + (-5287)) / (9483 - 83079)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35515, \"b\": 5474, \"c\": -5287, \"d\": 9483, \"e\": 83079}", "seed": "15350135320896774147", "semantic_fingerprint": "sha256:c8dceb0c782815ae9ecfd24990c3a2e8103fdbaa72958a4c816b2087ada75ef5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004798", "prompt": "Compute: -7142 * 11036 + (54375 - 50912 + (-77580) - 9924)", "solution_steps": ["Multiply: -7142 * 11036 = -78819112", "Subtract: 54375 - 50912 = 3463", "Add: 3463 + (-77580) = -74117", "Subtract: -74117 - 9924 = -84041", "Add: -78819112 + (-84041) = -78903153"], "final_answer": "-78903153", "answer_type": "integer", "kind": "expression", "math_text": "-7142 * 11036 + (54375 - 50912 + (-77580) - 9924)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- (+ (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7142, \"b\": 11036, \"c\": 54375, \"d\": 50912, \"e\": -77580, \"f\": 9924}", "seed": "13882796730994434090", "semantic_fingerprint": "sha256:4cabf548d8ecd0c4bd5fd7489f2d8c48155570980baafb54d6a1513da3ff9e11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004799", "prompt": "Calculate: 14098 / (-8823) + (-7812 - (-7434))", "solution_steps": ["Divide: 14098 / (-8823) = -14098/8823", "Subtract: -7812 - (-7434) = -378", "Add: -14098/8823 + (-378) = -3349192/8823"], "final_answer": "-3349192/8823", "answer_type": "rational", "kind": "expression", "math_text": "14098 / (-8823) + (-7812 - (-7434))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14098, \"b\": -8823, \"c\": -7812, \"d\": -7434}", "seed": "17774435248934616582", "semantic_fingerprint": "sha256:8a41aa8856b2626dc8f7d42a2737114e37e27aca2af4dda9545ac3ecab620039", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004800", "prompt": "What is 90810 / 6435?", "solution_steps": ["Divide: 90810 / 6435 = 2018/143"], "final_answer": "2018/143", "answer_type": "rational", "kind": "expression", "math_text": "90810 / 6435", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90810, \"b\": 6435}", "seed": "12661808081217729473", "semantic_fingerprint": "sha256:8f30c84dfc1228a4da307135d67dae3083f6fb689d7ed3173b8d2c7e77157f68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004801", "prompt": "Compute: 9094 / 25332", "solution_steps": ["Divide: 9094 / 25332 = 4547/12666"], "final_answer": "4547/12666", "answer_type": "rational", "kind": "expression", "math_text": "9094 / 25332", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9094, \"b\": 25332}", "seed": "5030072543202628750", "semantic_fingerprint": "sha256:cbcc970e5cba9501567be26186222770d844e905abfe11ca32773afce21a91a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004802", "prompt": "What is (-2511 + 71726) / (-73341)?", "solution_steps": ["Add: -2511 + 71726 = 69215", "Divide: 69215 / (-73341) = -69215/73341"], "final_answer": "-69215/73341", "answer_type": "rational", "kind": "expression", "math_text": "(-2511 + 71726) / (-73341)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2511, \"b\": 71726, \"c\": -73341}", "seed": "5121824193062235101", "semantic_fingerprint": "sha256:942a73b6dbfa0a451fbd9f7122e3c166c22dab7f41a7c8375d6f151e575d236d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004803", "prompt": "What is -3455 / 5820?", "solution_steps": ["Divide: -3455 / 5820 = -691/1164"], "final_answer": "-691/1164", "answer_type": "rational", "kind": "expression", "math_text": "-3455 / 5820", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3455, \"b\": 5820}", "seed": "17469975523543881453", "semantic_fingerprint": "sha256:54e481771a72473105b581d5f6b1076afaa908fcfe465590559606589446a07a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004804", "prompt": "Calculate: 33103 + (-5678) * 1707", "solution_steps": ["Multiply: -5678 * 1707 = -9692346", "Add: 33103 + (-9692346) = -9659243"], "final_answer": "-9659243", "answer_type": "integer", "kind": "expression", "math_text": "33103 + (-5678) * 1707", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33103, \"b\": -5678, \"c\": 1707}", "seed": "14845943755360334138", "semantic_fingerprint": "sha256:c6156ba4e573b0e8feeefc9770564d3245fb2c2d3505ebfe325dfc242b53723a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004805", "prompt": "Evaluate: 2065 * (-7391 / (-7387))", "solution_steps": ["Divide: -7391 / (-7387) = 7391/7387", "Multiply: 2065 * (7391/7387) = 15262415/7387"], "final_answer": "15262415/7387", "answer_type": "rational", "kind": "expression", "math_text": "2065 * (-7391 / (-7387))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2065, \"b\": -7391, \"c\": -7387}", "seed": "9358809788832877737", "semantic_fingerprint": "sha256:0c304731d607c1663f788740c495c25761fb6a531e7bfdd80bd1b2d178b9b53d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004806", "prompt": "Compute: -2647 * (-9498) * (5185 - 1936)", "solution_steps": ["Multiply: -2647 * (-9498) = 25141206", "Subtract: 5185 - 1936 = 3249", "Multiply: 25141206 * 3249 = 81683778294"], "final_answer": "81683778294", "answer_type": "integer", "kind": "expression", "math_text": "-2647 * (-9498) * (5185 - 1936)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2647, \"b\": -9498, \"c\": 5185, \"d\": 1936}", "seed": "8246809702786895119", "semantic_fingerprint": "sha256:8163ffcf34f7bcbbbdeec56e525fb9282a1f3e9732298fa841afb594b7fc083f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004807", "prompt": "Find x: x + 7164 = 7142", "solution_steps": ["Subtract 7164 from both sides: x = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7164 = 7142", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7164, \"c\": 7142, \"x\": -22}", "seed": "1263665449065639370", "semantic_fingerprint": "sha256:23ad0598d8867f3994102489508ac545d7cf64064886258a0f5b334535e108db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004808", "prompt": "Evaluate: 5671 / (-9684) * (-2437)", "solution_steps": ["Divide: 5671 / (-9684) = -5671/9684", "Multiply: (-5671/9684) * (-2437) = 13820227/9684"], "final_answer": "13820227/9684", "answer_type": "rational", "kind": "expression", "math_text": "5671 / (-9684) * (-2437)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5671, \"b\": -9684, \"c\": -2437}", "seed": "5912893602342466931", "semantic_fingerprint": "sha256:169a6a1cde819421bfce4da8ccdf5494333a5f5f4d31eda0bf0d4849f6be1286", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004809", "prompt": "Compute: 15016 + (-2758) + (-4994) * 2176", "solution_steps": ["Add: 15016 + (-2758) = 12258", "Multiply: -4994 * 2176 = -10866944", "Add: 12258 + (-10866944) = -10854686"], "final_answer": "-10854686", "answer_type": "integer", "kind": "expression", "math_text": "15016 + (-2758) + (-4994) * 2176", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15016, \"b\": -2758, \"c\": -4994, \"d\": 2176}", "seed": "4066442304876418362", "semantic_fingerprint": "sha256:703dd7b9cd40e2518fb78056c5ab1b38d9556aab147cce9a0cbe838ecc9e6226", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004810", "prompt": "What value of x satisfies x + 7506 = -21(x - 75116) - 3449?", "solution_steps": ["Expand: x + 7506 = -21x + 1577436 - 3449", "Combine constants: x + 7506 = -21x + 1573987", "Add 21x to both sides: 22x + 7506 = 1573987", "Subtract 7506 from both sides: 22x = 1566481", "Divide both sides by 22: x = 1566481/22"], "final_answer": "1566481/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 7506 = -21(x - 75116) - 3449", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7506, \"b\": -21, \"c\": 75116, \"d\": 3449}", "seed": "10303068341235136562", "semantic_fingerprint": "sha256:3a30d4afb67873f92517f5c2793aced4c8b8aa0704e50a548a96d4fa26e7b98e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004811", "prompt": "Evaluate: 4185 / (-5770) * 96751 * 11886", "solution_steps": ["Divide: 4185 / (-5770) = -837/1154", "Multiply: (-837/1154) * 96751 = -80980587/1154", "Multiply: (-80980587/1154) * 11886 = -481267628541/577"], "final_answer": "-481267628541/577", "answer_type": "rational", "kind": "expression", "math_text": "4185 / (-5770) * 96751 * 11886", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4185, \"b\": -5770, \"c\": 96751, \"d\": 11886}", "seed": "4754074154955673766", "semantic_fingerprint": "sha256:0ef2031d19cdc3274f7fee9f7a768531d61e5bd87e348916ad9a8f528a3872bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004812", "prompt": "What value of x satisfies 28x + 90466 = 27(x - 7758) + 40039?", "solution_steps": ["Expand: 28x + 90466 = 27x - 209466 + 40039", "Combine constants: 28x + 90466 = 27x - 169427", "Subtract 27x from both sides: x + 90466 = -169427", "Subtract 90466 from both sides: x = -259893"], "final_answer": "-259893", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 90466 = 27(x - 7758) + 40039", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 90466, \"c\": 27, \"d\": 7758, \"e\": 40039}", "seed": "13539529973249111463", "semantic_fingerprint": "sha256:fc6118a74e42eab17216313bb63defbdcf21a59d5298137230ffd8925734d481", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004813", "prompt": "Compute: -48461 * (-25741) / 4764", "solution_steps": ["Multiply: -48461 * (-25741) = 1247434601", "Divide: 1247434601 / 4764 = 1247434601/4764"], "final_answer": "1247434601/4764", "answer_type": "rational", "kind": "expression", "math_text": "-48461 * (-25741) / 4764", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -48461, \"b\": -25741, \"c\": 4764}", "seed": "5531475321797118221", "semantic_fingerprint": "sha256:4850e558ac49b2a643cb89dc39d73b12aab29e1fb873dc246c1fd60d6d37b864", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004814", "prompt": "Compute: 23610 * (-9679 + (6401 - (-1989))) + 7011", "solution_steps": ["Subtract: 6401 - (-1989) = 8390", "Add: -9679 + 8390 = -1289", "Multiply: 23610 * (-1289) = -30433290", "Add: -30433290 + 7011 = -30426279"], "final_answer": "-30426279", "answer_type": "integer", "kind": "expression", "math_text": "23610 * (-9679 + (6401 - (-1989))) + 7011", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23610, \"b\": -9679, \"c\": 6401, \"d\": -1989, \"e\": 7011}", "seed": "9878976502316732920", "semantic_fingerprint": "sha256:b2996357db1b6e3577166d6d9a2b3672f6ae36fc54d94235e4a200ee18f3372f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004815", "prompt": "What is -7088 - 49589 - (-3956 * 7287 + (1354 + 65431))?", "solution_steps": ["Subtract: -7088 - 49589 = -56677", "Multiply: -3956 * 7287 = -28827372", "Add: 1354 + 65431 = 66785", "Add: -28827372 + 66785 = -28760587", "Subtract: -56677 - (-28760587) = 28703910"], "final_answer": "28703910", "answer_type": "integer", "kind": "expression", "math_text": "-7088 - 49589 - (-3956 * 7287 + (1354 + 65431))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (* n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7088, \"b\": 49589, \"c\": -3956, \"d\": 7287, \"e\": 1354, \"f\": 65431}", "seed": "16487966041564023761", "semantic_fingerprint": "sha256:fb2e0829f519c31310e20fcfa8a53dd81c3ce7454bcc17208e95f0774f9c1cbe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004816", "prompt": "What is 42194 + 39050 - (-13410) / 1987?", "solution_steps": ["Add: 42194 + 39050 = 81244", "Divide: -13410 / 1987 = -13410/1987", "Subtract: 81244 - (-13410/1987) = 161445238/1987"], "final_answer": "161445238/1987", "answer_type": "rational", "kind": "expression", "math_text": "42194 + 39050 - (-13410) / 1987", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 42194, \"b\": 39050, \"c\": -13410, \"d\": 1987}", "seed": "15794365951860257573", "semantic_fingerprint": "sha256:3261b3669871a2355242f292e2afb13b1feb137a4cf53c58510e9feb1ce1c7c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004817", "prompt": "Compute: 9114 - 8576 - (-13915) * (64525 - 91625)", "solution_steps": ["Subtract: 9114 - 8576 = 538", "Subtract: 64525 - 91625 = -27100", "Multiply: -13915 * (-27100) = 377096500", "Subtract: 538 - 377096500 = -377095962"], "final_answer": "-377095962", "answer_type": "integer", "kind": "expression", "math_text": "9114 - 8576 - (-13915) * (64525 - 91625)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9114, \"b\": 8576, \"c\": -13915, \"d\": 64525, \"e\": 91625}", "seed": "8067328688106992015", "semantic_fingerprint": "sha256:6a62e928b56d3209ac5d0c65a631537d73c2dba844128ae0bfcb2d707d405797", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004818", "prompt": "Solve for x: -16(x + 6952) = 3196", "solution_steps": ["Expand: -16x - 111232 = 3196", "Add 111232 to both sides: -16x = 114428", "Divide both sides by -16: x = -28607/4"], "final_answer": "-28607/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x + 6952) = 3196", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 6952, \"c\": 3196}", "seed": "12792907882302785946", "semantic_fingerprint": "sha256:3421c6e54f2a097849b6e483e466ee0d93c9107ce22e250874d9ad2de9b484ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004819", "prompt": "Calculate: 1260 * 6285 + (-75409)", "solution_steps": ["Multiply: 1260 * 6285 = 7919100", "Add: 7919100 + (-75409) = 7843691"], "final_answer": "7843691", "answer_type": "integer", "kind": "expression", "math_text": "1260 * 6285 + (-75409)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1260, \"b\": 6285, \"c\": -75409}", "seed": "17601153158319722455", "semantic_fingerprint": "sha256:c0f2a01f55b154090e2bb13d7ea970283e458fb63a73ee408afc56e87d8c37c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004820", "prompt": "Solve for x: 32x = 21(x - 7460)", "solution_steps": ["Expand: 32x = 21x - 156660", "Subtract 21x from both sides: 11x = -156660", "Divide both sides by 11: x = -156660/11"], "final_answer": "-156660/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x = 21(x - 7460)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 21, \"c\": 7460}", "seed": "7121077072539068048", "semantic_fingerprint": "sha256:95598d2dfc217529fda1215f0358a23ee729b739b3150c65b39eacae718b2c04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004821", "prompt": "What value of x satisfies 18(x + 2999) = 21x + 53583?", "solution_steps": ["Expand: 18x + 53982 = 21x + 53583", "Subtract 21x from both sides: -3x + 53982 = 53583", "Subtract 53982 from both sides: -3x = -399", "Divide both sides by -3: x = 133"], "final_answer": "133", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 2999) = 21x + 53583", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2999, \"c\": 21, \"e\": 53583, \"x\": 133}", "seed": "4471465786025818339", "semantic_fingerprint": "sha256:0b0b716aa96c84bcaa789f29e10e7956290a5b1f318773268c6c5c56ef9d5540", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004822", "prompt": "What value of x satisfies 29(x - 1920) = 34(x + 3246) - 70980?", "solution_steps": ["Expand: 29x - 55680 = 34(x + 3246) - 70980", "Expand: 29x - 55680 = 34x + 110364 - 70980", "Combine constants: 29x - 55680 = 34x + 39384", "Subtract 34x from both sides: -5x - 55680 = 39384", "Add 55680 to both sides: -5x = 95064", "Divide both sides by -5: x = -95064/5"], "final_answer": "-95064/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 1920) = 34(x + 3246) - 70980", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 1920, \"c\": 34, \"d\": 3246, \"e\": 70980}", "seed": "826521472254142474", "semantic_fingerprint": "sha256:e3fa83d675c1c7d907f7c69a946e40ab29ef534542140ea09d59d2ba7f26219e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004823", "prompt": "Evaluate: -6453 * (3260 / (-72168) * (-8965))", "solution_steps": ["Divide: 3260 / (-72168) = -815/18042", "Multiply: (-815/18042) * (-8965) = 7306475/18042", "Multiply: -6453 * (7306475/18042) = -15716227725/6014"], "final_answer": "-15716227725/6014", "answer_type": "rational", "kind": "expression", "math_text": "-6453 * (3260 / (-72168) * (-8965))", "variable": null, "family": "expression_3op", "shape": "(* n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6453, \"b\": 3260, \"c\": -72168, \"d\": -8965}", "seed": "2764047902973578844", "semantic_fingerprint": "sha256:820333411fcee1d09d62a043bf5c481cb18ea87d6ddc3f19e88a5a458ffffc1b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004824", "prompt": "What is -3720 - (-80503) + (-7791)?", "solution_steps": ["Subtract: -3720 - (-80503) = 76783", "Add: 76783 + (-7791) = 68992"], "final_answer": "68992", "answer_type": "integer", "kind": "expression", "math_text": "-3720 - (-80503) + (-7791)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3720, \"b\": -80503, \"c\": -7791}", "seed": "5403717544596463403", "semantic_fingerprint": "sha256:7bca26e2cda5cbf99d283060f3d2030524cfb730e720389a27de26c12e970ca9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004825", "prompt": "Compute: (-19119 - (-1031)) / (37008 + 8122)", "solution_steps": ["Subtract: -19119 - (-1031) = -18088", "Add: 37008 + 8122 = 45130", "Divide: -18088 / 45130 = -9044/22565"], "final_answer": "-9044/22565", "answer_type": "rational", "kind": "expression", "math_text": "(-19119 - (-1031)) / (37008 + 8122)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19119, \"b\": -1031, \"c\": 37008, \"d\": 8122}", "seed": "16838479920059442145", "semantic_fingerprint": "sha256:c53b55a1bb55f0d9cfed44232015a62f601ed0c2e59e60a17657ea439c8ee2b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004826", "prompt": "What value of x satisfies x + 9841 = -14x + 12436?", "solution_steps": ["Add 14x to both sides: 15x + 9841 = 12436", "Subtract 9841 from both sides: 15x = 2595", "Divide both sides by 15: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9841 = -14x + 12436", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9841, \"b\": -14, \"d\": 12436, \"x\": 173}", "seed": "17837699896349185814", "semantic_fingerprint": "sha256:79a99555388de3ae2d55d8729e24dfaa986c90f06756b589986c5776b7c46381", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004827", "prompt": "Solve the equation 22x = -35x + 5415 for x.", "solution_steps": ["Add 35x to both sides: 57x = 5415", "Divide both sides by 57: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "22x = -35x + 5415", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": -35, \"d\": 5415, \"x\": 95}", "seed": "1148368541256121070", "semantic_fingerprint": "sha256:5652ab580a00d1409f93e1cdb20fe1e41ede544a36ecef21ca12ff0f62827b3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004828", "prompt": "Evaluate: 77423 - (-96372) * (-65717) + 7585", "solution_steps": ["Multiply: -96372 * (-65717) = 6333278724", "Subtract: 77423 - 6333278724 = -6333201301", "Add: -6333201301 + 7585 = -6333193716"], "final_answer": "-6333193716", "answer_type": "integer", "kind": "expression", "math_text": "77423 - (-96372) * (-65717) + 7585", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 77423, \"b\": -96372, \"c\": -65717, \"d\": 7585}", "seed": "16733741938512843724", "semantic_fingerprint": "sha256:fd36cee64cb1d65b59890a61fec513219377e164796c7b020b1becfcd6d4f26f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004829", "prompt": "Evaluate: 97490 / ((9805 + (-3362)) / 8850)", "solution_steps": ["Add: 9805 + (-3362) = 6443", "Divide: 6443 / 8850 = 6443/8850", "Divide: 97490 / (6443/8850) = 862786500/6443"], "final_answer": "862786500/6443", "answer_type": "rational", "kind": "expression", "math_text": "97490 / ((9805 + (-3362)) / 8850)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 97490, \"b\": 9805, \"c\": -3362, \"d\": 8850}", "seed": "11598183004330576716", "semantic_fingerprint": "sha256:9e8829fd04223ebc776071ec2c0bcf0d32658f8d7d359c132376fd4a7f7907f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004830", "prompt": "What is (9753 - 6990) / 9770 * (-6741)?", "solution_steps": ["Subtract: 9753 - 6990 = 2763", "Divide: 2763 / 9770 = 2763/9770", "Multiply: (2763/9770) * (-6741) = -18625383/9770"], "final_answer": "-18625383/9770", "answer_type": "rational", "kind": "expression", "math_text": "(9753 - 6990) / 9770 * (-6741)", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9753, \"b\": 6990, \"c\": 9770, \"d\": -6741}", "seed": "6814425051342646887", "semantic_fingerprint": "sha256:680c09dc79c4b53409a83b740eb6e94ff0b28b3ad0e1343c97ce9f5449da09a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004831", "prompt": "Evaluate: 7251 / 20026 + (48329 - (-2604))", "solution_steps": ["Divide: 7251 / 20026 = 7251/20026", "Subtract: 48329 - (-2604) = 50933", "Add: 7251/20026 + 50933 = 1019991509/20026"], "final_answer": "1019991509/20026", "answer_type": "rational", "kind": "expression", "math_text": "7251 / 20026 + (48329 - (-2604))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7251, \"b\": 20026, \"c\": 48329, \"d\": -2604}", "seed": "6109390216532760506", "semantic_fingerprint": "sha256:faaacd337dcdb50afe7c3a21edd5dd8c66a7e8bf9fc53b638aed106a5b051198", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004832", "prompt": "Calculate: (5892 + (-27480)) * 7758 - (-5660)", "solution_steps": ["Add: 5892 + (-27480) = -21588", "Multiply: -21588 * 7758 = -167479704", "Subtract: -167479704 - (-5660) = -167474044"], "final_answer": "-167474044", "answer_type": "integer", "kind": "expression", "math_text": "(5892 + (-27480)) * 7758 - (-5660)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5892, \"b\": -27480, \"c\": 7758, \"d\": -5660}", "seed": "8238660953752992984", "semantic_fingerprint": "sha256:f1a79ab5b9e8ca36b37df0867d2eaeaf3ca2644f5ba24c15a807ee81a0aa03c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004833", "prompt": "What is 48219 * 6330 + (-19669)?", "solution_steps": ["Multiply: 48219 * 6330 = 305226270", "Add: 305226270 + (-19669) = 305206601"], "final_answer": "305206601", "answer_type": "integer", "kind": "expression", "math_text": "48219 * 6330 + (-19669)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 48219, \"b\": 6330, \"c\": -19669}", "seed": "17562038254711706187", "semantic_fingerprint": "sha256:748b5cec70c175b1d88fc4e001fcc60e7a013266e15759e6c356b3ff0789650a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004834", "prompt": "Solve for x: 37(x + 4263) + 71456 = 36(x + 6370)", "solution_steps": ["Expand: 37x + 157731 + 71456 = 36(x + 6370)", "Expand: 37x + 157731 + 71456 = 36x + 229320", "Combine constants: 37x + 229187 = 36x + 229320", "Subtract 36x from both sides: x + 229187 = 229320", "Subtract 229187 from both sides: x = 133"], "final_answer": "133", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x + 4263) + 71456 = 36(x + 6370)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 4263, \"c\": 36, \"d\": 6370, \"f\": 71456, \"x\": 133}", "seed": "7973432547826738549", "semantic_fingerprint": "sha256:837a238919253acfa4c14c919ea765d601555a9b2475265f3641ab483b67953d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004835", "prompt": "What is -1028 - (-3097 + 8143)?", "solution_steps": ["Add: -3097 + 8143 = 5046", "Subtract: -1028 - 5046 = -6074"], "final_answer": "-6074", "answer_type": "integer", "kind": "expression", "math_text": "-1028 - (-3097 + 8143)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1028, \"b\": -3097, \"c\": 8143}", "seed": "10562749537813966815", "semantic_fingerprint": "sha256:add3b8de2db665f0cc23dfad7deec7ffd714a4196187ee731a11e9903a15efea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004836", "prompt": "Evaluate: -54572 - (-68449) - (-8200)", "solution_steps": ["Subtract: -54572 - (-68449) = 13877", "Subtract: 13877 - (-8200) = 22077"], "final_answer": "22077", "answer_type": "integer", "kind": "expression", "math_text": "-54572 - (-68449) - (-8200)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -54572, \"b\": -68449, \"c\": -8200}", "seed": "17745878082700472947", "semantic_fingerprint": "sha256:2a0169821deb721b95a0a38be253cbfdbd7617f87226b24a444e649bf45f5687", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004837", "prompt": "Solve the equation 36x - 29907 = x - 36312 for x.", "solution_steps": ["Subtract x from both sides: 35x - 29907 = -36312", "Add 29907 to both sides: 35x = -6405", "Divide both sides by 35: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x - 29907 = x - 36312", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 29907, \"d\": -36312, \"x\": -183}", "seed": "6828274125148037894", "semantic_fingerprint": "sha256:9a954078bcb22f4297590393378d909d0db008d654ec9b685a9b0bea8d981405", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004838", "prompt": "Calculate: -2677 / (-99705 / 40112) - (-87253)", "solution_steps": ["Divide: -99705 / 40112 = -4335/1744", "Divide: -2677 / (-4335/1744) = 4668688/4335", "Subtract: 4668688/4335 - (-87253) = 382910443/4335"], "final_answer": "382910443/4335", "answer_type": "rational", "kind": "expression", "math_text": "-2677 / (-99705 / 40112) - (-87253)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2677, \"b\": -99705, \"c\": 40112, \"d\": -87253}", "seed": "1211800673638532718", "semantic_fingerprint": "sha256:b671a77e221698d121f9c53106c6c0efb98ab9b3a657b156f67a49f2c3ab9bcb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004839", "prompt": "Solve for x: -17x - 28417 = -16x", "solution_steps": ["Add 16x to both sides: -x - 28417 = 0", "Add 28417 to both sides: -x = 28417", "Divide both sides by -1: x = -28417"], "final_answer": "-28417", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17x - 28417 = -16x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 28417, \"c\": -16}", "seed": "11053031023544399451", "semantic_fingerprint": "sha256:f5e6c58d89085df3569357fdeaf6d4152bc9645f2a244d78690dcc9b6214c0ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004840", "prompt": "Compute: -4949 + (-7974)", "solution_steps": ["Add: -4949 + (-7974) = -12923"], "final_answer": "-12923", "answer_type": "integer", "kind": "expression", "math_text": "-4949 + (-7974)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4949, \"b\": -7974}", "seed": "3628651727250427700", "semantic_fingerprint": "sha256:004303198303d740b5b71182c2849e357b6b71648a4a4aa981be4b4c6b129a94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004841", "prompt": "What is -2897 * 52363?", "solution_steps": ["Multiply: -2897 * 52363 = -151695611"], "final_answer": "-151695611", "answer_type": "integer", "kind": "expression", "math_text": "-2897 * 52363", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2897, \"b\": 52363}", "seed": "14596340022010003987", "semantic_fingerprint": "sha256:bf15448dc4b8ad36892807bb704b05415989abb1f65f79394655eb66647a33de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004842", "prompt": "Solve the equation 38(x + 2570) - 95514 = x for x.", "solution_steps": ["Expand: 38x + 97660 - 95514 = x", "Combine constants: 38x + 2146 = x", "Subtract x from both sides: 37x + 2146 = 0", "Subtract 2146 from both sides: 37x = -2146", "Divide both sides by 37: x = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x + 2570) - 95514 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 2570, \"d\": -95514, \"x\": -58}", "seed": "8514602661313139931", "semantic_fingerprint": "sha256:7cdf8c8b2019325e476447e67dc35a04a2aec37d3c7da93712ca4bed478c0712", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004843", "prompt": "What value of x satisfies x = 38(x - 8335)?", "solution_steps": ["Expand: x = 38x - 316730", "Subtract 38x from both sides: -37x = -316730", "Divide both sides by -37: x = 316730/37"], "final_answer": "316730/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 38(x - 8335)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 8335}", "seed": "11360918223206446349", "semantic_fingerprint": "sha256:5afa2c01e836be9d564be95f0144f399e74adf724f7866191355f50901a213a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004844", "prompt": "Calculate: -9524 + (-54447 / 3639 - (-9611))", "solution_steps": ["Divide: -54447 / 3639 = -18149/1213", "Subtract: -18149/1213 - (-9611) = 11639994/1213", "Add: -9524 + 11639994/1213 = 87382/1213"], "final_answer": "87382/1213", "answer_type": "rational", "kind": "expression", "math_text": "-9524 + (-54447 / 3639 - (-9611))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9524, \"b\": -54447, \"c\": 3639, \"d\": -9611}", "seed": "6756893866231586081", "semantic_fingerprint": "sha256:794b41da838b7363036a39dc2abc5f76b2a52fcb70757315b1cb6e91b580ffb7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004845", "prompt": "What is 1064 / 9466?", "solution_steps": ["Divide: 1064 / 9466 = 532/4733"], "final_answer": "532/4733", "answer_type": "rational", "kind": "expression", "math_text": "1064 / 9466", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1064, \"b\": 9466}", "seed": "15562178863448324276", "semantic_fingerprint": "sha256:aaed0c2b1a2f0219fb14be94b8857696d65f219e141c3e714cd42137feea41d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004846", "prompt": "Evaluate: 1004 * 4446 - (10006 + (-3512) - 48170)", "solution_steps": ["Multiply: 1004 * 4446 = 4463784", "Add: 10006 + (-3512) = 6494", "Subtract: 6494 - 48170 = -41676", "Subtract: 4463784 - (-41676) = 4505460"], "final_answer": "4505460", "answer_type": "integer", "kind": "expression", "math_text": "1004 * 4446 - (10006 + (-3512) - 48170)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1004, \"b\": 4446, \"c\": 10006, \"d\": -3512, \"e\": 48170}", "seed": "12702348470169986489", "semantic_fingerprint": "sha256:97de23e7bdeb29448c52a2bc5367c728c8c1b53cac1dec7b69e88ec3bf587288", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004847", "prompt": "Find x: -17(x + 9713) - 83268 = 28(x + 2462) - 5656", "solution_steps": ["Expand: -17x - 165121 - 83268 = 28(x + 2462) - 5656", "Expand: -17x - 165121 - 83268 = 28x + 68936 - 5656", "Combine constants: -17x - 248389 = 28x + 68936 - 5656", "Combine constants: -17x - 248389 = 28x + 63280", "Subtract 28x from both sides: -45x - 248389 = 63280", "Add 248389 to both sides: -45x = 311669", "Divide both sides by -45: x = -311669/45"], "final_answer": "-311669/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 9713) - 83268 = 28(x + 2462) - 5656", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 9713, \"c\": 83268, \"d\": 28, \"e\": 2462, \"f\": 5656}", "seed": "8292922428794372554", "semantic_fingerprint": "sha256:94c6dc50dae5c74318d4c2437782cc3a7f01df95208b20ca1e3d2a5cf0041413", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004848", "prompt": "Compute: 71643 / (-8922 - (7295 - 2890))", "solution_steps": ["Subtract: 7295 - 2890 = 4405", "Subtract: -8922 - 4405 = -13327", "Divide: 71643 / (-13327) = -71643/13327"], "final_answer": "-71643/13327", "answer_type": "rational", "kind": "expression", "math_text": "71643 / (-8922 - (7295 - 2890))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 71643, \"b\": -8922, \"c\": 7295, \"d\": 2890}", "seed": "1917169095017740038", "semantic_fingerprint": "sha256:796ba8578f3a82aa62f94acc5fa245f2735b25ed8ceee58de24488206ebc7b52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004849", "prompt": "Solve for x: -32(x - 1022) + 9721 = x + 45065", "solution_steps": ["Expand: -32x + 32704 + 9721 = x + 45065", "Combine constants: -32x + 42425 = x + 45065", "Subtract x from both sides: -33x + 42425 = 45065", "Subtract 42425 from both sides: -33x = 2640", "Divide both sides by -33: x = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32(x - 1022) + 9721 = x + 45065", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 1022, \"c\": 9721, \"e\": 45065, \"x\": -80}", "seed": "13006539892274248713", "semantic_fingerprint": "sha256:c69db802871fe26e66ff7b6a231a6ab9cb863d1a3066b8972d1c6d83b79fcd25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004850", "prompt": "Solve the equation x + 3982 = 35(x + 9646) + 13604 for x.", "solution_steps": ["Expand: x + 3982 = 35x + 337610 + 13604", "Combine constants: x + 3982 = 35x + 351214", "Subtract 35x from both sides: -34x + 3982 = 351214", "Subtract 3982 from both sides: -34x = 347232", "Divide both sides by -34: x = -173616/17"], "final_answer": "-173616/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3982 = 35(x + 9646) + 13604", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3982, \"b\": 35, \"c\": 9646, \"d\": 13604}", "seed": "2452358114366716274", "semantic_fingerprint": "sha256:c613795b9eb815940e8c4b50a8a3689226faa6ac10df5585b4a34f309c061665", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004851", "prompt": "What value of x satisfies -13x = 35x - 1200?", "solution_steps": ["Subtract 35x from both sides: -48x = -1200", "Divide both sides by -48: x = 25"], "final_answer": "25", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13x = 35x - 1200", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 35, \"d\": -1200, \"x\": 25}", "seed": "6018658962052983676", "semantic_fingerprint": "sha256:40db969ddee3d1162565b7ad7b3e674916b2b1aea6e43e4aec447d8890ff369e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004852", "prompt": "Calculate: 3451 * (-94419)", "solution_steps": ["Multiply: 3451 * (-94419) = -325839969"], "final_answer": "-325839969", "answer_type": "integer", "kind": "expression", "math_text": "3451 * (-94419)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3451, \"b\": -94419}", "seed": "15388882720195658742", "semantic_fingerprint": "sha256:741c2984a3aee864ae58971ed73cd86801a96728d14fad3bbde9640f5b6e38ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004853", "prompt": "Calculate: -8314 - (-29560)", "solution_steps": ["Subtract: -8314 - (-29560) = 21246"], "final_answer": "21246", "answer_type": "integer", "kind": "expression", "math_text": "-8314 - (-29560)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8314, \"b\": -29560}", "seed": "15921140812515759002", "semantic_fingerprint": "sha256:1c2fba253e14cf2a4f958347e089bec105dd798d3e8937975b03a0a0aacc1467", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004854", "prompt": "What is -9245 * 1075 / 2060?", "solution_steps": ["Multiply: -9245 * 1075 = -9938375", "Divide: -9938375 / 2060 = -1987675/412"], "final_answer": "-1987675/412", "answer_type": "rational", "kind": "expression", "math_text": "-9245 * 1075 / 2060", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9245, \"b\": 1075, \"c\": 2060}", "seed": "11077365685056545623", "semantic_fingerprint": "sha256:b8621e7d3da054ef719b2308d0fc53f6f7e8a655a05992400da82a4c6a7d6af9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004855", "prompt": "Calculate: -3117 + 8591 / (-30838)", "solution_steps": ["Divide: 8591 / (-30838) = -8591/30838", "Add: -3117 + (-8591/30838) = -96130637/30838"], "final_answer": "-96130637/30838", "answer_type": "rational", "kind": "expression", "math_text": "-3117 + 8591 / (-30838)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3117, \"b\": 8591, \"c\": -30838}", "seed": "9723089321357269905", "semantic_fingerprint": "sha256:629b6543e244db18832a12e91bf62b8829f18defaac6f9ccc66f637934697b39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004856", "prompt": "Evaluate: -5460 / (-5009) + 8832", "solution_steps": ["Divide: -5460 / (-5009) = 5460/5009", "Add: 5460/5009 + 8832 = 44244948/5009"], "final_answer": "44244948/5009", "answer_type": "rational", "kind": "expression", "math_text": "-5460 / (-5009) + 8832", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5460, \"b\": -5009, \"c\": 8832}", "seed": "12874950127763490764", "semantic_fingerprint": "sha256:4542604212cff58676a0977ca1f1e0387002435b65e31f8ae0a5495e8af0b4f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004857", "prompt": "What is 3306 - (3376 - (-5878)) - (-4804)?", "solution_steps": ["Subtract: 3376 - (-5878) = 9254", "Subtract: 3306 - 9254 = -5948", "Subtract: -5948 - (-4804) = -1144"], "final_answer": "-1144", "answer_type": "integer", "kind": "expression", "math_text": "3306 - (3376 - (-5878)) - (-4804)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3306, \"b\": 3376, \"c\": -5878, \"d\": -4804}", "seed": "8399576779621904933", "semantic_fingerprint": "sha256:8a6b9790cce4acd8384ca83d155328b047b30dc7acbc58598f3a8b6b9358f16e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004858", "prompt": "Compute: 35702 * (-1959 + 5195)", "solution_steps": ["Add: -1959 + 5195 = 3236", "Multiply: 35702 * 3236 = 115531672"], "final_answer": "115531672", "answer_type": "integer", "kind": "expression", "math_text": "35702 * (-1959 + 5195)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35702, \"b\": -1959, \"c\": 5195}", "seed": "12198151647296648049", "semantic_fingerprint": "sha256:60d19b63f400979affc0e23381c3c2baf8f601fc84b77b82bd26be26e31cd9cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004859", "prompt": "Compute: -43003 / (-4020) - 7934", "solution_steps": ["Divide: -43003 / (-4020) = 43003/4020", "Subtract: 43003/4020 - 7934 = -31851677/4020"], "final_answer": "-31851677/4020", "answer_type": "rational", "kind": "expression", "math_text": "-43003 / (-4020) - 7934", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43003, \"b\": -4020, \"c\": 7934}", "seed": "15939640371579287964", "semantic_fingerprint": "sha256:46c259b6b2e055e950c7109bb0f1647318331999c851b8cb1fbedf5cdc57de0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004860", "prompt": "Calculate: (5466 - (-3791)) * (-24250)", "solution_steps": ["Subtract: 5466 - (-3791) = 9257", "Multiply: 9257 * (-24250) = -224482250"], "final_answer": "-224482250", "answer_type": "integer", "kind": "expression", "math_text": "(5466 - (-3791)) * (-24250)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5466, \"b\": -3791, \"c\": -24250}", "seed": "9340302905439663662", "semantic_fingerprint": "sha256:d36d379d63932823b5bf1806b29630c00efc541d1c05f47074ec0cd8657382ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004861", "prompt": "What is 3341 + (-48677)?", "solution_steps": ["Add: 3341 + (-48677) = -45336"], "final_answer": "-45336", "answer_type": "integer", "kind": "expression", "math_text": "3341 + (-48677)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3341, \"b\": -48677}", "seed": "11549556233868596141", "semantic_fingerprint": "sha256:bc50ed13e3095cf4fee4642c59b98a768006d64596274561b6e02e40e0250d21", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004862", "prompt": "What value of x satisfies 15x - 76639 = -23(x + 3423)?", "solution_steps": ["Expand: 15x - 76639 = -23x - 78729", "Add 23x to both sides: 38x - 76639 = -78729", "Add 76639 to both sides: 38x = -2090", "Divide both sides by 38: x = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 76639 = -23(x + 3423)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": -23, \"c\": 3423, \"e\": -76639, \"x\": -55}", "seed": "17098443418241327097", "semantic_fingerprint": "sha256:4aa3e82422b47891f72934f419fce385a82b5fd90c3538d7f4261eb55a6b10e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004863", "prompt": "Calculate: -3407 - (-86720)", "solution_steps": ["Subtract: -3407 - (-86720) = 83313"], "final_answer": "83313", "answer_type": "integer", "kind": "expression", "math_text": "-3407 - (-86720)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3407, \"b\": -86720}", "seed": "6393271032476194670", "semantic_fingerprint": "sha256:7ae8ec6a5101449ef1901833bbf070ff8ccad46921d9f5a0f356f7c2516b5e4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004864", "prompt": "Solve for x: 14x - 6117 = x - 7807", "solution_steps": ["Subtract x from both sides: 13x - 6117 = -7807", "Add 6117 to both sides: 13x = -1690", "Divide both sides by 13: x = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x - 6117 = x - 7807", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6117, \"d\": -7807, \"x\": -130}", "seed": "18328278811349060424", "semantic_fingerprint": "sha256:f2796088b7fdcdc689bf13a43dea521cef18623f5308a4baa7972494fc1f8166", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004865", "prompt": "Solve for x: x = -27x", "solution_steps": ["Add 27x to both sides: 28x = 0", "Divide both sides by 28: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -27x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27}", "seed": "6820430272792934689", "semantic_fingerprint": "sha256:92152d60597c26b17e7d49028a58fcdf23d6b22b4ffca392ce0f5e1bb46cfe2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004866", "prompt": "Compute: 2063 + (-81775) - 7323", "solution_steps": ["Add: 2063 + (-81775) = -79712", "Subtract: -79712 - 7323 = -87035"], "final_answer": "-87035", "answer_type": "integer", "kind": "expression", "math_text": "2063 + (-81775) - 7323", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2063, \"b\": -81775, \"c\": 7323}", "seed": "3853178988233365052", "semantic_fingerprint": "sha256:2b6a30bc9c86730c6ac49c1d9bf1a4cbf172df52068739aa4b468eadf4dcc9b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004867", "prompt": "Solve the equation 15x = x for x.", "solution_steps": ["Subtract x from both sides: 14x = 0", "Divide both sides by 14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15}", "seed": "17927123656584993048", "semantic_fingerprint": "sha256:711f99c40fae4db4a7d9dfa2ea198f77f31384142f9f6b6489d3edf642e251da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004868", "prompt": "What is -1553 - 9789 + 2998?", "solution_steps": ["Subtract: -1553 - 9789 = -11342", "Add: -11342 + 2998 = -8344"], "final_answer": "-8344", "answer_type": "integer", "kind": "expression", "math_text": "-1553 - 9789 + 2998", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1553, \"b\": 9789, \"c\": 2998}", "seed": "363544152480930367", "semantic_fingerprint": "sha256:6a2c450da7f96ff7c53aaf89b2d437ec5e0ad5067d7a1c08508bf087e535868e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004869", "prompt": "Find x: x + 5662 = 39x", "solution_steps": ["Subtract 39x from both sides: -38x + 5662 = 0", "Subtract 5662 from both sides: -38x = -5662", "Divide both sides by -38: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5662 = 39x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": 5662, \"x\": 149}", "seed": "928799219472503974", "semantic_fingerprint": "sha256:05fc6b99114758435077b58e11482c92ce3084e1e26417a760ac716495c0a286", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004870", "prompt": "Solve for x: 29x - 2852 = -8159", "solution_steps": ["Add 2852 to both sides: 29x = -5307", "Divide both sides by 29: x = -183"], "final_answer": "-183", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x - 2852 = -8159", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2852, \"d\": -8159, \"x\": -183}", "seed": "15596138110627443091", "semantic_fingerprint": "sha256:0356fa2ddc7accc6459f031aa1646741fb394d3202558810c658a77c99d6d6bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004871", "prompt": "What is -56187 * 83080 - 4659 - (-20449)?", "solution_steps": ["Multiply: -56187 * 83080 = -4668015960", "Subtract: -4668015960 - 4659 = -4668020619", "Subtract: -4668020619 - (-20449) = -4668000170"], "final_answer": "-4668000170", "answer_type": "integer", "kind": "expression", "math_text": "-56187 * 83080 - 4659 - (-20449)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -56187, \"b\": 83080, \"c\": 4659, \"d\": -20449}", "seed": "7407630403205011181", "semantic_fingerprint": "sha256:61da6124b7bac43c9620b0f910ac943d51d5fc38315251fe9f032b2ae9a2982d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004872", "prompt": "Compute: 2032 * 5378", "solution_steps": ["Multiply: 2032 * 5378 = 10928096"], "final_answer": "10928096", "answer_type": "integer", "kind": "expression", "math_text": "2032 * 5378", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2032, \"b\": 5378}", "seed": "531165199450658638", "semantic_fingerprint": "sha256:aaa03bfc4abb13aa1709af10391e829df5f6ce81db1a6a4492953116aaea7b21", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004873", "prompt": "What is -8555 / (-44862) + 94070?", "solution_steps": ["Divide: -8555 / (-44862) = 8555/44862", "Add: 8555/44862 + 94070 = 4220176895/44862"], "final_answer": "4220176895/44862", "answer_type": "rational", "kind": "expression", "math_text": "-8555 / (-44862) + 94070", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8555, \"b\": -44862, \"c\": 94070}", "seed": "16220707128745494309", "semantic_fingerprint": "sha256:e413623a89348d5aa9366028dd53071d5d3afa8461dae96e3a0806826e85bbac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004874", "prompt": "Calculate: -1548 + 37021 - (-8563 - (-51314)) - (-23559) / 25148", "solution_steps": ["Add: -1548 + 37021 = 35473", "Subtract: -8563 - (-51314) = 42751", "Subtract: 35473 - 42751 = -7278", "Divide: -23559 / 25148 = -23559/25148", "Subtract: -7278 - (-23559/25148) = -183003585/25148"], "final_answer": "-183003585/25148", "answer_type": "rational", "kind": "expression", "math_text": "-1548 + 37021 - (-8563 - (-51314)) - (-23559) / 25148", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1548, \"b\": 37021, \"c\": -8563, \"d\": -51314, \"e\": -23559, \"f\": 25148}", "seed": "4740605572259321648", "semantic_fingerprint": "sha256:cf340d71c89a3673b5fdea4afcf147e484beec665aa293ba1f1fde64bdaa59dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004875", "prompt": "Evaluate: -62687 + (46597 - (-1410) * (-17860))", "solution_steps": ["Multiply: -1410 * (-17860) = 25182600", "Subtract: 46597 - 25182600 = -25136003", "Add: -62687 + (-25136003) = -25198690"], "final_answer": "-25198690", "answer_type": "integer", "kind": "expression", "math_text": "-62687 + (46597 - (-1410) * (-17860))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62687, \"b\": 46597, \"c\": -1410, \"d\": -17860}", "seed": "11730829681541734784", "semantic_fingerprint": "sha256:2161d03f31e91c126c20f7b549bc8b340a8d01f1fd15e4b272f41770160e3fff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004876", "prompt": "Find x: -32x = 37x - 2070", "solution_steps": ["Subtract 37x from both sides: -69x = -2070", "Divide both sides by -69: x = 30"], "final_answer": "30", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x = 37x - 2070", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 37, \"d\": -2070, \"x\": 30}", "seed": "6149136944578207457", "semantic_fingerprint": "sha256:19fbfdf3a61aaa56f7bc686527de8ffc0be148732799f698e605214527e8fbcb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004877", "prompt": "Compute: 4415 * (-6917)", "solution_steps": ["Multiply: 4415 * (-6917) = -30538555"], "final_answer": "-30538555", "answer_type": "integer", "kind": "expression", "math_text": "4415 * (-6917)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4415, \"b\": -6917}", "seed": "4746970094394031811", "semantic_fingerprint": "sha256:c4033676b7181b65668ba9b1ec933b7cdc0d18ac773e8c05ca0595f96872731d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004878", "prompt": "Calculate: 97770 * 34327", "solution_steps": ["Multiply: 97770 * 34327 = 3356150790"], "final_answer": "3356150790", "answer_type": "integer", "kind": "expression", "math_text": "97770 * 34327", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 97770, \"b\": 34327}", "seed": "13127993532618462305", "semantic_fingerprint": "sha256:4536727302352b6edb0dd32525c39efbc6023ecc0a00fe19ca9228e74c1bfbfe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004879", "prompt": "Evaluate: (-90697 + (-9551)) / 26149", "solution_steps": ["Add: -90697 + (-9551) = -100248", "Divide: -100248 / 26149 = -100248/26149"], "final_answer": "-100248/26149", "answer_type": "rational", "kind": "expression", "math_text": "(-90697 + (-9551)) / 26149", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -90697, \"b\": -9551, \"c\": 26149}", "seed": "238983094801715319", "semantic_fingerprint": "sha256:cd3142f658e33cf10f9a6accb8f4a4d35b3e59b65a41231362b97b5eb405c592", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004880", "prompt": "Calculate: 4788 * (86519 / (-7283)) - (9366 + 1132)", "solution_steps": ["Divide: 86519 / (-7283) = -86519/7283", "Multiply: 4788 * (-86519/7283) = -414252972/7283", "Add: 9366 + 1132 = 10498", "Subtract: -414252972/7283 - 10498 = -490709906/7283"], "final_answer": "-490709906/7283", "answer_type": "rational", "kind": "expression", "math_text": "4788 * (86519 / (-7283)) - (9366 + 1132)", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4788, \"b\": 86519, \"c\": -7283, \"d\": 9366, \"e\": 1132}", "seed": "15901975527991915745", "semantic_fingerprint": "sha256:26e29ad9e4b5e43c3821b187df0576e0fd8afe6a07bda092eb34736111382861", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004881", "prompt": "Calculate: 4345 / (-7507 + (-65325) + 8189 - (-91780 + 7036))", "solution_steps": ["Add: -7507 + (-65325) = -72832", "Add: -72832 + 8189 = -64643", "Add: -91780 + 7036 = -84744", "Subtract: -64643 - (-84744) = 20101", "Divide: 4345 / 20101 = 4345/20101"], "final_answer": "4345/20101", "answer_type": "rational", "kind": "expression", "math_text": "4345 / (-7507 + (-65325) + 8189 - (-91780 + 7036))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (+ (+ n n) n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4345, \"b\": -7507, \"c\": -65325, \"d\": 8189, \"e\": -91780, \"f\": 7036}", "seed": "12700745359484303662", "semantic_fingerprint": "sha256:c4f85b542c3bccbd407aa620c36292dfbb9a10761c01166334bf66d5862f7717", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004882", "prompt": "Evaluate: (63620 - (-2135)) * (-7145)", "solution_steps": ["Subtract: 63620 - (-2135) = 65755", "Multiply: 65755 * (-7145) = -469819475"], "final_answer": "-469819475", "answer_type": "integer", "kind": "expression", "math_text": "(63620 - (-2135)) * (-7145)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63620, \"b\": -2135, \"c\": -7145}", "seed": "11269710669424416502", "semantic_fingerprint": "sha256:84ed172385c96e8e2febdca0410462cc9392c8b0d61cc70731c955c2d2eaa0eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004883", "prompt": "Solve the equation 18x = 23(x - 6557) - 9844 for x.", "solution_steps": ["Expand: 18x = 23x - 150811 - 9844", "Combine constants: 18x = 23x - 160655", "Subtract 23x from both sides: -5x = -160655", "Divide both sides by -5: x = 32131"], "final_answer": "32131", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = 23(x - 6557) - 9844", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 23, \"c\": 6557, \"d\": 9844}", "seed": "4584593986651387785", "semantic_fingerprint": "sha256:c7985cd0418403ee2a2578351756bbe20346fb6dc64efe59d51f01f3e411a923", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004884", "prompt": "Solve for x: 24x + 2214 = 14(x + 32705)", "solution_steps": ["Expand: 24x + 2214 = 14x + 457870", "Subtract 14x from both sides: 10x + 2214 = 457870", "Subtract 2214 from both sides: 10x = 455656", "Divide both sides by 10: x = 227828/5"], "final_answer": "227828/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x + 2214 = 14(x + 32705)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 2214, \"c\": 14, \"d\": 32705}", "seed": "10621218033520940126", "semantic_fingerprint": "sha256:5505dd993b394411d1c691b5eb7a544f54602593c973db412943c6737106c9f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004885", "prompt": "Compute: -8384 * 71408 + 14419", "solution_steps": ["Multiply: -8384 * 71408 = -598684672", "Add: -598684672 + 14419 = -598670253"], "final_answer": "-598670253", "answer_type": "integer", "kind": "expression", "math_text": "-8384 * 71408 + 14419", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8384, \"b\": 71408, \"c\": 14419}", "seed": "10081647168866311854", "semantic_fingerprint": "sha256:b19689b694cdbe955e57172a57b5eda66c15258d2f530652c242de8ccca80a04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004886", "prompt": "Evaluate: -3805 / 5511", "solution_steps": ["Divide: -3805 / 5511 = -3805/5511"], "final_answer": "-3805/5511", "answer_type": "rational", "kind": "expression", "math_text": "-3805 / 5511", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3805, \"b\": 5511}", "seed": "2349554537436347286", "semantic_fingerprint": "sha256:6ee3d7b1fb6fc82683cf138991999d34d03009eca70edd37daaa9b38bff16145", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004887", "prompt": "What is -7519 + (-57680 - (-3607))?", "solution_steps": ["Subtract: -57680 - (-3607) = -54073", "Add: -7519 + (-54073) = -61592"], "final_answer": "-61592", "answer_type": "integer", "kind": "expression", "math_text": "-7519 + (-57680 - (-3607))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7519, \"b\": -57680, \"c\": -3607}", "seed": "4218025096823732749", "semantic_fingerprint": "sha256:58fe0a0fb52dae825238e2be2fbb1fb7fb38fc2cd1a1267c092cd8db14ebc09f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004888", "prompt": "Solve the equation -24x = x - 3050 for x.", "solution_steps": ["Subtract x from both sides: -25x = -3050", "Divide both sides by -25: x = 122"], "final_answer": "122", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24x = x - 3050", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24, \"c\": -3050, \"x\": 122}", "seed": "5132440219571870619", "semantic_fingerprint": "sha256:edd5bae6044739b7ca9d5f9bd6fa257e1f4bf77b486b1972f0c981197cd6fa06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004889", "prompt": "Calculate: -53848 * (9517 / (-7150) - 5138)", "solution_steps": ["Divide: 9517 / (-7150) = -9517/7150", "Subtract: -9517/7150 - 5138 = -36746217/7150", "Multiply: -53848 * (-36746217/7150) = 989355146508/3575"], "final_answer": "989355146508/3575", "answer_type": "rational", "kind": "expression", "math_text": "-53848 * (9517 / (-7150) - 5138)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -53848, \"b\": 9517, \"c\": -7150, \"d\": 5138}", "seed": "8746291532803307043", "semantic_fingerprint": "sha256:b4cec822d4c7749308afae17c698f3d5718b02a8e2ca6e1e185bd1ed98995542", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004890", "prompt": "Solve for x: 20x + 7844 = 4741", "solution_steps": ["Subtract 7844 from both sides: 20x = -3103", "Divide both sides by 20: x = -3103/20"], "final_answer": "-3103/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x + 7844 = 4741", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 7844, \"c\": 4741}", "seed": "9943764258320019725", "semantic_fingerprint": "sha256:55bfdde62cca324564cc71b6380f28199fafefeff7386ff6107ac0f4fe07a5b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004891", "prompt": "Compute: (56825 + 28646) * (-28886)", "solution_steps": ["Add: 56825 + 28646 = 85471", "Multiply: 85471 * (-28886) = -2468915306"], "final_answer": "-2468915306", "answer_type": "integer", "kind": "expression", "math_text": "(56825 + 28646) * (-28886)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 56825, \"b\": 28646, \"c\": -28886}", "seed": "16149995918258457100", "semantic_fingerprint": "sha256:48ba354c09e338d53a2dd981e08ea70c78f71cee793ad0b274cdf0ae931c541a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004892", "prompt": "Solve the equation 36x = -36x + 6953 for x.", "solution_steps": ["Add 36x to both sides: 72x = 6953", "Divide both sides by 72: x = 6953/72"], "final_answer": "6953/72", "answer_type": "rational", "kind": "linear_equation", "math_text": "36x = -36x + 6953", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": -36, \"c\": 6953}", "seed": "8028013359776280368", "semantic_fingerprint": "sha256:6b07dc0b028cc3da9386539e13a3f99f64b96bd0de2688f91e8803142428086a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004893", "prompt": "Solve the equation 16x - 9088 = 18(x - 6440) + 9667 for x.", "solution_steps": ["Expand: 16x - 9088 = 18x - 115920 + 9667", "Combine constants: 16x - 9088 = 18x - 106253", "Subtract 18x from both sides: -2x - 9088 = -106253", "Add 9088 to both sides: -2x = -97165", "Divide both sides by -2: x = 97165/2"], "final_answer": "97165/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x - 9088 = 18(x - 6440) + 9667", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 9088, \"c\": 18, \"d\": 6440, \"e\": 9667}", "seed": "18390989309102164788", "semantic_fingerprint": "sha256:4369e887bee1de0926f75a764cc8207872308bf91704a1b59ab2f970ed056241", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004894", "prompt": "What value of x satisfies 36(x + 4419) = x - 8601?", "solution_steps": ["Expand: 36x + 159084 = x - 8601", "Subtract x from both sides: 35x + 159084 = -8601", "Subtract 159084 from both sides: 35x = -167685", "Divide both sides by 35: x = -4791"], "final_answer": "-4791", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x + 4419) = x - 8601", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 4419, \"c\": 8601}", "seed": "10312494639883664932", "semantic_fingerprint": "sha256:d1c7590937884d85a4f797c4e6e696b9d0005947ce9b88d169d9a7f6f104f1b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004895", "prompt": "Compute: 50083 - 35350 * (-29708)", "solution_steps": ["Multiply: 35350 * (-29708) = -1050177800", "Subtract: 50083 - (-1050177800) = 1050227883"], "final_answer": "1050227883", "answer_type": "integer", "kind": "expression", "math_text": "50083 - 35350 * (-29708)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50083, \"b\": 35350, \"c\": -29708}", "seed": "14909181096169535938", "semantic_fingerprint": "sha256:17f07baa3b9afc8a8689ef09dda186eebaf16908f258d6b70fb40645aeb7eb2b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004896", "prompt": "Calculate: (-33580 + 9608 - 4351) / 6971 * (-1824 + (-7870))", "solution_steps": ["Add: -33580 + 9608 = -23972", "Subtract: -23972 - 4351 = -28323", "Divide: -28323 / 6971 = -28323/6971", "Add: -1824 + (-7870) = -9694", "Multiply: (-28323/6971) * (-9694) = 274563162/6971"], "final_answer": "274563162/6971", "answer_type": "rational", "kind": "expression", "math_text": "(-33580 + 9608 - 4351) / 6971 * (-1824 + (-7870))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (+ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33580, \"b\": 9608, \"c\": 4351, \"d\": 6971, \"e\": -1824, \"f\": -7870}", "seed": "15410846018531672656", "semantic_fingerprint": "sha256:4e10f11fb39c3999fab9000d5fd133defea50248bf505b38d1e5885165c12f85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004897", "prompt": "Solve the equation 34x + 12021 = x for x.", "solution_steps": ["Subtract x from both sides: 33x + 12021 = 0", "Subtract 12021 from both sides: 33x = -12021", "Divide both sides by 33: x = -4007/11"], "final_answer": "-4007/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x + 12021 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 12021}", "seed": "16738810496542849049", "semantic_fingerprint": "sha256:eb5e0034eaa1f57aac56ba47e6033144a70abcb79767a392ceb31e2a13ee45c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004898", "prompt": "Evaluate: 2178 * 94002", "solution_steps": ["Multiply: 2178 * 94002 = 204736356"], "final_answer": "204736356", "answer_type": "integer", "kind": "expression", "math_text": "2178 * 94002", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2178, \"b\": 94002}", "seed": "17441233601464734848", "semantic_fingerprint": "sha256:c39071c9994b039723665e59eab79b853bad245fcaab7e97ef0fa4a2511acd2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004899", "prompt": "Solve the equation -37(x + 1678) + 4290 = 21x - 28338 for x.", "solution_steps": ["Expand: -37x - 62086 + 4290 = 21x - 28338", "Combine constants: -37x - 57796 = 21x - 28338", "Subtract 21x from both sides: -58x - 57796 = -28338", "Add 57796 to both sides: -58x = 29458", "Divide both sides by -58: x = -14729/29"], "final_answer": "-14729/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 1678) + 4290 = 21x - 28338", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 1678, \"c\": 4290, \"d\": 21, \"e\": 28338}", "seed": "10355317088048629985", "semantic_fingerprint": "sha256:581ea420b5161cab22c3443359dc4bf606e84fcaa437efbf728d6e64cabc7702", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004900", "prompt": "What is 7339 / 9140?", "solution_steps": ["Divide: 7339 / 9140 = 7339/9140"], "final_answer": "7339/9140", "answer_type": "rational", "kind": "expression", "math_text": "7339 / 9140", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7339, \"b\": 9140}", "seed": "14086619581593038779", "semantic_fingerprint": "sha256:f8ebad836e5e80372014e5618942e783961b0e4e5118ab07f47b3cad20b4ed78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004901", "prompt": "Evaluate: -8960 / 59903 - (-11934) + (-5661)", "solution_steps": ["Divide: -8960 / 59903 = -8960/59903", "Subtract: -8960/59903 - (-11934) = 714873442/59903", "Add: 714873442/59903 + (-5661) = 375762559/59903"], "final_answer": "375762559/59903", "answer_type": "rational", "kind": "expression", "math_text": "-8960 / 59903 - (-11934) + (-5661)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8960, \"b\": 59903, \"c\": -11934, \"d\": -5661}", "seed": "12804402189373967806", "semantic_fingerprint": "sha256:592157d1af7f3c954707e9a60ea207cdf1d133b8871eeb58093eeb02b12e1915", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004902", "prompt": "Calculate: 6310 * (-81400 * (-8923) / (-43235 - (-8890) * 7931))", "solution_steps": ["Multiply: -81400 * (-8923) = 726332200", "Multiply: -8890 * 7931 = -70506590", "Subtract: -43235 - (-70506590) = 70463355", "Divide: 726332200 / 70463355 = 3926120/380883", "Multiply: 6310 * (3926120/380883) = 24773817200/380883"], "final_answer": "24773817200/380883", "answer_type": "rational", "kind": "expression", "math_text": "6310 * (-81400 * (-8923) / (-43235 - (-8890) * 7931))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (* n n) (- n (* n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6310, \"b\": -81400, \"c\": -8923, \"d\": -43235, \"e\": -8890, \"f\": 7931}", "seed": "997804271535830912", "semantic_fingerprint": "sha256:2de8bbf431cfc3f84bb127544659714a084fc1377df382b5edfaefbdad74af83", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004903", "prompt": "Compute: 8948 - (-7576)", "solution_steps": ["Subtract: 8948 - (-7576) = 16524"], "final_answer": "16524", "answer_type": "integer", "kind": "expression", "math_text": "8948 - (-7576)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8948, \"b\": -7576}", "seed": "7244520189713576614", "semantic_fingerprint": "sha256:b50a5e2a1a490d40b8c4d13d7b81d7e73af30565e93434d162be294a8dfa5ad2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004904", "prompt": "Calculate: -3044 / (-6825)", "solution_steps": ["Divide: -3044 / (-6825) = 3044/6825"], "final_answer": "3044/6825", "answer_type": "rational", "kind": "expression", "math_text": "-3044 / (-6825)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3044, \"b\": -6825}", "seed": "6435952840692001550", "semantic_fingerprint": "sha256:7708fa3111b6fc8361b9c86584b5eedc891fd1f7753896ccb1962202a647b1e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004905", "prompt": "Evaluate: 6755 + (29924 + (-96664 + (-5606)))", "solution_steps": ["Add: -96664 + (-5606) = -102270", "Add: 29924 + (-102270) = -72346", "Add: 6755 + (-72346) = -65591"], "final_answer": "-65591", "answer_type": "integer", "kind": "expression", "math_text": "6755 + (29924 + (-96664 + (-5606)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6755, \"b\": 29924, \"c\": -96664, \"d\": -5606}", "seed": "11306551357181291564", "semantic_fingerprint": "sha256:ab6b351ae1786e89377e280437291a03ddb8812484e04ee90bc695667d69ecd7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004906", "prompt": "Evaluate: 46205 * 36427 / 5211", "solution_steps": ["Multiply: 46205 * 36427 = 1683109535", "Divide: 1683109535 / 5211 = 1683109535/5211"], "final_answer": "1683109535/5211", "answer_type": "rational", "kind": "expression", "math_text": "46205 * 36427 / 5211", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 46205, \"b\": 36427, \"c\": 5211}", "seed": "1079971279021735000", "semantic_fingerprint": "sha256:59b107eca199a351493e7b494234c5191c2e3d64e3646895d8e5aa6931f310de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004907", "prompt": "Calculate: (3382 + 94506) / (-8845) * 11259", "solution_steps": ["Add: 3382 + 94506 = 97888", "Divide: 97888 / (-8845) = -97888/8845", "Multiply: (-97888/8845) * 11259 = -1102120992/8845"], "final_answer": "-1102120992/8845", "answer_type": "rational", "kind": "expression", "math_text": "(3382 + 94506) / (-8845) * 11259", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3382, \"b\": 94506, \"c\": -8845, \"d\": 11259}", "seed": "8739617899722608845", "semantic_fingerprint": "sha256:ed29d94ddc061b88b1c7c9d24d98e3a4adf6451baa69c03929b6555a8e54e23d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004908", "prompt": "What is -5522 - 7618 + (-3449)?", "solution_steps": ["Subtract: -5522 - 7618 = -13140", "Add: -13140 + (-3449) = -16589"], "final_answer": "-16589", "answer_type": "integer", "kind": "expression", "math_text": "-5522 - 7618 + (-3449)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5522, \"b\": 7618, \"c\": -3449}", "seed": "11477174759250482408", "semantic_fingerprint": "sha256:91a4b85b3b6f8f7a7751d86299584740ec5c046fc695e7ce5cd6fcc311690e0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004909", "prompt": "Compute: -3492 * (-11452 / (-9584))", "solution_steps": ["Divide: -11452 / (-9584) = 2863/2396", "Multiply: -3492 * (2863/2396) = -2499399/599"], "final_answer": "-2499399/599", "answer_type": "rational", "kind": "expression", "math_text": "-3492 * (-11452 / (-9584))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3492, \"b\": -11452, \"c\": -9584}", "seed": "3698092808893982488", "semantic_fingerprint": "sha256:f3b77ea61a1e369d29bdc3645714797383a059a773f95f5e52d43fd2df876690", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004910", "prompt": "Calculate: 34842 - (-37570)", "solution_steps": ["Subtract: 34842 - (-37570) = 72412"], "final_answer": "72412", "answer_type": "integer", "kind": "expression", "math_text": "34842 - (-37570)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 34842, \"b\": -37570}", "seed": "4696213869066435489", "semantic_fingerprint": "sha256:cf9021afd8cf8e742e9622673ffe57f48bc01fbb7915bbb619a2402c9fbf77ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004911", "prompt": "Calculate: -31332 / (-8636)", "solution_steps": ["Divide: -31332 / (-8636) = 7833/2159"], "final_answer": "7833/2159", "answer_type": "rational", "kind": "expression", "math_text": "-31332 / (-8636)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31332, \"b\": -8636}", "seed": "454504869194379072", "semantic_fingerprint": "sha256:06e8024da3bcfa71698f8afc609c09a5f76776287af1087d1cfba28f3bb1fcd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004912", "prompt": "Calculate: 5432 / (48873 - (-6168 - (-6638))) + 5895", "solution_steps": ["Subtract: -6168 - (-6638) = 470", "Subtract: 48873 - 470 = 48403", "Divide: 5432 / 48403 = 56/499", "Add: 56/499 + 5895 = 2941661/499"], "final_answer": "2941661/499", "answer_type": "rational", "kind": "expression", "math_text": "5432 / (48873 - (-6168 - (-6638))) + 5895", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5432, \"b\": 48873, \"c\": -6168, \"d\": -6638, \"e\": 5895}", "seed": "9150321744857788058", "semantic_fingerprint": "sha256:3f8f6084adf35bc11ee222c96f2bcb58c6199a72434657b7bea5f2c2584d2717", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004913", "prompt": "Evaluate: -3577 - (-3169) * (-57603) / (-81380) - (-74641 - (-8703))", "solution_steps": ["Multiply: -3169 * (-57603) = 182543907", "Divide: 182543907 / (-81380) = -14041839/6260", "Subtract: -3577 - (-14041839/6260) = -8350181/6260", "Subtract: -74641 - (-8703) = -65938", "Subtract: -8350181/6260 - (-65938) = 404421699/6260"], "final_answer": "404421699/6260", "answer_type": "rational", "kind": "expression", "math_text": "-3577 - (-3169) * (-57603) / (-81380) - (-74641 - (-8703))", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ (* n n) n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3577, \"b\": -3169, \"c\": -57603, \"d\": -81380, \"e\": -74641, \"f\": -8703}", "seed": "4880173592159931019", "semantic_fingerprint": "sha256:c79a08a0169a0e9d7967c49286c157867aeb796b7ebc502aef486de1eedf60c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004914", "prompt": "Compute: 8287 * (-52662)", "solution_steps": ["Multiply: 8287 * (-52662) = -436409994"], "final_answer": "-436409994", "answer_type": "integer", "kind": "expression", "math_text": "8287 * (-52662)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8287, \"b\": -52662}", "seed": "6078662202185463614", "semantic_fingerprint": "sha256:6084005dd4c771969121e28c9c78ea303e6ba6ed49817db94b7d89ef4e66ca67", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004915", "prompt": "Compute: 53603 * (-8670 - 4784)", "solution_steps": ["Subtract: -8670 - 4784 = -13454", "Multiply: 53603 * (-13454) = -721174762"], "final_answer": "-721174762", "answer_type": "integer", "kind": "expression", "math_text": "53603 * (-8670 - 4784)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 53603, \"b\": -8670, \"c\": 4784}", "seed": "10746970273351240710", "semantic_fingerprint": "sha256:7586eca66caa9fa1ab32fa4a20d03628117184542ad528bffd4591b1b2d4742d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004916", "prompt": "Calculate: 3449 * (4313 + 6303) - (-5722) - (-2904)", "solution_steps": ["Add: 4313 + 6303 = 10616", "Multiply: 3449 * 10616 = 36614584", "Subtract: 36614584 - (-5722) = 36620306", "Subtract: 36620306 - (-2904) = 36623210"], "final_answer": "36623210", "answer_type": "integer", "kind": "expression", "math_text": "3449 * (4313 + 6303) - (-5722) - (-2904)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3449, \"b\": 4313, \"c\": 6303, \"d\": -5722, \"e\": -2904}", "seed": "18088685691170887579", "semantic_fingerprint": "sha256:1387893eb95485f9892efeafb78a463a41008cc567135fc4b7ddab56b91c792e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004917", "prompt": "Find x: 21(x - 30633) - 46890 = -18(x + 6038)", "solution_steps": ["Expand: 21x - 643293 - 46890 = -18(x + 6038)", "Expand: 21x - 643293 - 46890 = -18x - 108684", "Combine constants: 21x - 690183 = -18x - 108684", "Add 18x to both sides: 39x - 690183 = -108684", "Add 690183 to both sides: 39x = 581499", "Divide both sides by 39: x = 193833/13"], "final_answer": "193833/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x - 30633) - 46890 = -18(x + 6038)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 30633, \"c\": 46890, \"d\": -18, \"e\": 6038}", "seed": "10560107687356688848", "semantic_fingerprint": "sha256:dba6a3957f6190fc4c6da85ff852fca94a206c5f60a63e22c63e641c1b0c682a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004918", "prompt": "Compute: -6743 * (-36069)", "solution_steps": ["Multiply: -6743 * (-36069) = 243213267"], "final_answer": "243213267", "answer_type": "integer", "kind": "expression", "math_text": "-6743 * (-36069)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6743, \"b\": -36069}", "seed": "13999275256018095541", "semantic_fingerprint": "sha256:b614bbe82e5f305bd1ab28dbf5b11b1e751c3d46858c084de39b30c1dee5ace4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004919", "prompt": "What is -94138 - (-43973) * 9716?", "solution_steps": ["Multiply: -43973 * 9716 = -427241668", "Subtract: -94138 - (-427241668) = 427147530"], "final_answer": "427147530", "answer_type": "integer", "kind": "expression", "math_text": "-94138 - (-43973) * 9716", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -94138, \"b\": -43973, \"c\": 9716}", "seed": "10213428435680144135", "semantic_fingerprint": "sha256:d7c0cf90ca4e0bf23301fe9977c0022a1337c555acd6d59bf95e34a73a30d54e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004920", "prompt": "What value of x satisfies x = -22x + 4117?", "solution_steps": ["Add 22x to both sides: 23x = 4117", "Divide both sides by 23: x = 179"], "final_answer": "179", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -22x + 4117", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22, \"c\": 4117, \"x\": 179}", "seed": "3015138119513517129", "semantic_fingerprint": "sha256:d1294bceec97adc0c51ee9bf3bef3d67185aa6b5712d4a5883e856dcaa78ca2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004921", "prompt": "Calculate: 2483 * 51896 - (-7979)", "solution_steps": ["Multiply: 2483 * 51896 = 128857768", "Subtract: 128857768 - (-7979) = 128865747"], "final_answer": "128865747", "answer_type": "integer", "kind": "expression", "math_text": "2483 * 51896 - (-7979)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2483, \"b\": 51896, \"c\": -7979}", "seed": "4611281426885173689", "semantic_fingerprint": "sha256:e31bcb71957fabf85db25f09bc66af53d57cc963ceb5a26b72e49fb7c29df462", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004922", "prompt": "Compute: -6504 - (-63624) - 86054", "solution_steps": ["Subtract: -6504 - (-63624) = 57120", "Subtract: 57120 - 86054 = -28934"], "final_answer": "-28934", "answer_type": "integer", "kind": "expression", "math_text": "-6504 - (-63624) - 86054", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6504, \"b\": -63624, \"c\": 86054}", "seed": "276525806267213775", "semantic_fingerprint": "sha256:6cc11ef93b382bb6540163146cd188b621f1c6ec4aa06949b563927d4965209f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004923", "prompt": "Compute: -37025 / (-10259 - (-9459)) - (-2125)", "solution_steps": ["Subtract: -10259 - (-9459) = -800", "Divide: -37025 / (-800) = 1481/32", "Subtract: 1481/32 - (-2125) = 69481/32"], "final_answer": "69481/32", "answer_type": "rational", "kind": "expression", "math_text": "-37025 / (-10259 - (-9459)) - (-2125)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37025, \"b\": -10259, \"c\": -9459, \"d\": -2125}", "seed": "16295206636914915189", "semantic_fingerprint": "sha256:b3c00fe82a8212b26edad85fde6459959857f1c6d089a314743813163b382930", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004924", "prompt": "Solve the equation -13(x - 5593) + 6996 = 81005 for x.", "solution_steps": ["Expand: -13x + 72709 + 6996 = 81005", "Combine constants: -13x + 79705 = 81005", "Subtract 79705 from both sides: -13x = 1300", "Divide both sides by -13: x = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13(x - 5593) + 6996 = 81005", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 5593, \"c\": 6996, \"e\": 81005, \"x\": -100}", "seed": "15350437506920194012", "semantic_fingerprint": "sha256:b5e3259486ca57dd1f688cfa037d23d545d41e7718dffd23413c4783734ff767", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004925", "prompt": "Solve for x: 21(x + 44571) + 21991 = 25x + 5556", "solution_steps": ["Expand: 21x + 935991 + 21991 = 25x + 5556", "Combine constants: 21x + 957982 = 25x + 5556", "Subtract 25x from both sides: -4x + 957982 = 5556", "Subtract 957982 from both sides: -4x = -952426", "Divide both sides by -4: x = 476213/2"], "final_answer": "476213/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 44571) + 21991 = 25x + 5556", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 44571, \"c\": 21991, \"d\": 25, \"e\": 5556}", "seed": "959009581395320084", "semantic_fingerprint": "sha256:9ea50fb97ecad3b5f4753c84ca1ba36a4f55f9c4885de267e1b42adb93145050", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004926", "prompt": "Find x: 13(x - 7491) + 96975 = 19x", "solution_steps": ["Expand: 13x - 97383 + 96975 = 19x", "Combine constants: 13x - 408 = 19x", "Subtract 19x from both sides: -6x - 408 = 0", "Add 408 to both sides: -6x = 408", "Divide both sides by -6: x = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x - 7491) + 96975 = 19x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7491, \"c\": 19, \"e\": 96975, \"x\": -68}", "seed": "13099101116946144033", "semantic_fingerprint": "sha256:99a46ba9a70a4661e0dee8ff163474a73c7b3340c839b453ae50b9629a102656", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004927", "prompt": "Calculate: -2499 - 8941", "solution_steps": ["Subtract: -2499 - 8941 = -11440"], "final_answer": "-11440", "answer_type": "integer", "kind": "expression", "math_text": "-2499 - 8941", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2499, \"b\": 8941}", "seed": "16800920176793628078", "semantic_fingerprint": "sha256:9c5b2381ceb5696c9aac01648b2c78cbc3fd577c5f7a248f4bb0d18456739fff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004928", "prompt": "What value of x satisfies 33x + 2175 = 17x - 2144?", "solution_steps": ["Subtract 17x from both sides: 16x + 2175 = -2144", "Subtract 2175 from both sides: 16x = -4319", "Divide both sides by 16: x = -4319/16"], "final_answer": "-4319/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "33x + 2175 = 17x - 2144", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 2175, \"c\": 17, \"d\": 2144}", "seed": "12183105626497221988", "semantic_fingerprint": "sha256:891e0ea8cbe79a3125571ae3c45df683538f4c34b8ea309b0f18be76a50e7702", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004929", "prompt": "Calculate: -6678 * (-6332 * (-13896))", "solution_steps": ["Multiply: -6332 * (-13896) = 87989472", "Multiply: -6678 * 87989472 = -587593694016"], "final_answer": "-587593694016", "answer_type": "integer", "kind": "expression", "math_text": "-6678 * (-6332 * (-13896))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6678, \"b\": -6332, \"c\": -13896}", "seed": "5363747354630355989", "semantic_fingerprint": "sha256:60638b0a5a914182caa3ee62654bff0cec024499f41761cac275ea00b9a756dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004930", "prompt": "Evaluate: 5977 * (41324 + (-1178) - 3542 * 2807)", "solution_steps": ["Add: 41324 + (-1178) = 40146", "Multiply: 3542 * 2807 = 9942394", "Subtract: 40146 - 9942394 = -9902248", "Multiply: 5977 * (-9902248) = -59185736296"], "final_answer": "-59185736296", "answer_type": "integer", "kind": "expression", "math_text": "5977 * (41324 + (-1178) - 3542 * 2807)", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5977, \"b\": 41324, \"c\": -1178, \"d\": 3542, \"e\": 2807}", "seed": "1556184695809077595", "semantic_fingerprint": "sha256:0f97d5d7e4f241da73689cdc3d3305dcd423afdede435e6f7bbe69e1d8d3f57c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004931", "prompt": "Calculate: 3779 / (-14825)", "solution_steps": ["Divide: 3779 / (-14825) = -3779/14825"], "final_answer": "-3779/14825", "answer_type": "rational", "kind": "expression", "math_text": "3779 / (-14825)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3779, \"b\": -14825}", "seed": "14052345054339003573", "semantic_fingerprint": "sha256:21dbbe05ad258b3cf3ba7c1d1994156d5a4b55ae5b037bbdc35e2b6093f2bc03", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004932", "prompt": "Evaluate: -6747 / (-1990 + (-9531))", "solution_steps": ["Add: -1990 + (-9531) = -11521", "Divide: -6747 / (-11521) = 6747/11521"], "final_answer": "6747/11521", "answer_type": "rational", "kind": "expression", "math_text": "-6747 / (-1990 + (-9531))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6747, \"b\": -1990, \"c\": -9531}", "seed": "2156815554634561863", "semantic_fingerprint": "sha256:97c749b3f19a98b873f79e5627a3d835fe74fd4b8cdcec66f18cd17fe183d791", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004933", "prompt": "Solve for x: 29x = x - 1652", "solution_steps": ["Subtract x from both sides: 28x = -1652", "Divide both sides by 28: x = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x = x - 1652", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"c\": -1652, \"x\": -59}", "seed": "13792501268775798398", "semantic_fingerprint": "sha256:bbb2bd2fd414ca3f1a90e465233db85f2e645b880a4696cb3c03468f3b4a8926", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004934", "prompt": "What is 62871 + (-22203) + (-30694)?", "solution_steps": ["Add: 62871 + (-22203) = 40668", "Add: 40668 + (-30694) = 9974"], "final_answer": "9974", "answer_type": "integer", "kind": "expression", "math_text": "62871 + (-22203) + (-30694)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 62871, \"b\": -22203, \"c\": -30694}", "seed": "14950669781903976640", "semantic_fingerprint": "sha256:331b345b9cac4c8dec302473e9cb9e80d9bdb33907173e21f0374142b6af7fec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004935", "prompt": "Find x: -29x - 55710 = x - 58080", "solution_steps": ["Subtract x from both sides: -30x - 55710 = -58080", "Add 55710 to both sides: -30x = -2370", "Divide both sides by -30: x = 79"], "final_answer": "79", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x - 55710 = x - 58080", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 55710, \"d\": -58080, \"x\": 79}", "seed": "15916034646106356934", "semantic_fingerprint": "sha256:f70118173e15747b92e248fcf5636e37f5129543c76db8e5c619a6615b8f5603", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004936", "prompt": "Calculate: 5910 + (-5074 + 50897 + (-45535))", "solution_steps": ["Add: -5074 + 50897 = 45823", "Add: 45823 + (-45535) = 288", "Add: 5910 + 288 = 6198"], "final_answer": "6198", "answer_type": "integer", "kind": "expression", "math_text": "5910 + (-5074 + 50897 + (-45535))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5910, \"b\": -5074, \"c\": 50897, \"d\": -45535}", "seed": "3965130423327098748", "semantic_fingerprint": "sha256:3b1a437929407091abbf24f4038c45ee983e6dddddc51d10d0c6a3bc349861c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004937", "prompt": "What is 8699 + (-2502 + (-1354) - (-41074))?", "solution_steps": ["Add: -2502 + (-1354) = -3856", "Subtract: -3856 - (-41074) = 37218", "Add: 8699 + 37218 = 45917"], "final_answer": "45917", "answer_type": "integer", "kind": "expression", "math_text": "8699 + (-2502 + (-1354) - (-41074))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8699, \"b\": -2502, \"c\": -1354, \"d\": -41074}", "seed": "16083310745981944932", "semantic_fingerprint": "sha256:bcd00d412c8b928b469ea441134b3e181e9eea0af12b8bc2259f7c1db73073de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004938", "prompt": "Compute: 66510 - (-9065) + 2409", "solution_steps": ["Subtract: 66510 - (-9065) = 75575", "Add: 75575 + 2409 = 77984"], "final_answer": "77984", "answer_type": "integer", "kind": "expression", "math_text": "66510 - (-9065) + 2409", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66510, \"b\": -9065, \"c\": 2409}", "seed": "11040595952996953446", "semantic_fingerprint": "sha256:5eca7fc3f4c920b595beb2a429f711ff74d48d7aa91ffde98a83aca44f423ef4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004939", "prompt": "What is 4500 / (-4864 - (-39335))?", "solution_steps": ["Subtract: -4864 - (-39335) = 34471", "Divide: 4500 / 34471 = 4500/34471"], "final_answer": "4500/34471", "answer_type": "rational", "kind": "expression", "math_text": "4500 / (-4864 - (-39335))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4500, \"b\": -4864, \"c\": -39335}", "seed": "16882793784015901083", "semantic_fingerprint": "sha256:e0e5c1ec3466ec1c5fc6a9634c0f1139338fae9237c82affa9b01faa4347f472", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004940", "prompt": "Solve the equation -37(x - 9226) + 6176 = -80535 for x.", "solution_steps": ["Expand: -37x + 341362 + 6176 = -80535", "Combine constants: -37x + 347538 = -80535", "Subtract 347538 from both sides: -37x = -428073", "Divide both sides by -37: x = 428073/37"], "final_answer": "428073/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x - 9226) + 6176 = -80535", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 9226, \"c\": 6176, \"d\": -80535}", "seed": "7025899376857158059", "semantic_fingerprint": "sha256:a4078720790ad93d9d826aaa32e43003f7aba2f1af05fe8c1a1708dfa22c2940", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004941", "prompt": "Calculate: 2457 / (5243 / 1769)", "solution_steps": ["Divide: 5243 / 1769 = 5243/1769", "Divide: 2457 / (5243/1769) = 620919/749"], "final_answer": "620919/749", "answer_type": "rational", "kind": "expression", "math_text": "2457 / (5243 / 1769)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2457, \"b\": 5243, \"c\": 1769}", "seed": "16143424933448335676", "semantic_fingerprint": "sha256:667985faedd91633b559fb93604fd77babf062e4a48dbd4923541912721421ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004942", "prompt": "Calculate: -32999 - 32093 * (-6628)", "solution_steps": ["Multiply: 32093 * (-6628) = -212712404", "Subtract: -32999 - (-212712404) = 212679405"], "final_answer": "212679405", "answer_type": "integer", "kind": "expression", "math_text": "-32999 - 32093 * (-6628)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32999, \"b\": 32093, \"c\": -6628}", "seed": "14082690647992203975", "semantic_fingerprint": "sha256:6fef90d63b2c7b3b551667b42d0a39be799eae83a58e0fc84fc2b0d033c2d946", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004943", "prompt": "Solve the equation -16(x - 90518) - 8447 = 1584 for x.", "solution_steps": ["Expand: -16x + 1448288 - 8447 = 1584", "Combine constants: -16x + 1439841 = 1584", "Subtract 1439841 from both sides: -16x = -1438257", "Divide both sides by -16: x = 1438257/16"], "final_answer": "1438257/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x - 90518) - 8447 = 1584", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 90518, \"c\": 8447, \"d\": 1584}", "seed": "16068944843341804153", "semantic_fingerprint": "sha256:03addf32af468c50712f096d8400a763f30a686b0ab32328ecce59d1db45991c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004944", "prompt": "Solve for x: -26(x + 8217) + 8309 = 34(x - 56802)", "solution_steps": ["Expand: -26x - 213642 + 8309 = 34(x - 56802)", "Expand: -26x - 213642 + 8309 = 34x - 1931268", "Combine constants: -26x - 205333 = 34x - 1931268", "Subtract 34x from both sides: -60x - 205333 = -1931268", "Add 205333 to both sides: -60x = -1725935", "Divide both sides by -60: x = 345187/12"], "final_answer": "345187/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26(x + 8217) + 8309 = 34(x - 56802)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 8217, \"c\": 8309, \"d\": 34, \"e\": 56802}", "seed": "279528794270680000", "semantic_fingerprint": "sha256:29345c90dd5029ca40abcf8bf66d91d9f332e43ea0d938f1c5df316a86abbb9f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004945", "prompt": "Compute: 7496 * 6169", "solution_steps": ["Multiply: 7496 * 6169 = 46242824"], "final_answer": "46242824", "answer_type": "integer", "kind": "expression", "math_text": "7496 * 6169", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7496, \"b\": 6169}", "seed": "16400804254333300307", "semantic_fingerprint": "sha256:25ba4ff0ece1f4c6456dbd3c738c5db69e90a58399e2132d71a994084c39398c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004946", "prompt": "Compute: -30866 - (-9681)", "solution_steps": ["Subtract: -30866 - (-9681) = -21185"], "final_answer": "-21185", "answer_type": "integer", "kind": "expression", "math_text": "-30866 - (-9681)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -30866, \"b\": -9681}", "seed": "15212023088911170948", "semantic_fingerprint": "sha256:68536338e18c83e800f4aba5d31a997f1658e754b2c8be16f72ad3ed36268eeb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004947", "prompt": "Solve the equation -23x = 22(x + 7763) for x.", "solution_steps": ["Expand: -23x = 22x + 170786", "Subtract 22x from both sides: -45x = 170786", "Divide both sides by -45: x = -170786/45"], "final_answer": "-170786/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23x = 22(x + 7763)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 22, \"c\": 7763}", "seed": "12288280834676121716", "semantic_fingerprint": "sha256:2526d4a3528f6a459dfda01e073d0c479193c98ed7531f17e03c36d2902f4811", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004948", "prompt": "Calculate: 6601 + 72547", "solution_steps": ["Add: 6601 + 72547 = 79148"], "final_answer": "79148", "answer_type": "integer", "kind": "expression", "math_text": "6601 + 72547", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6601, \"b\": 72547}", "seed": "439391902316029446", "semantic_fingerprint": "sha256:12ccdca8d3c090093b21a4eae34c2b02b0a73ecddc6bfda67508aac9c1b5cb12", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004949", "prompt": "What value of x satisfies x - 65366 = 23(x - 2132) - 12920?", "solution_steps": ["Expand: x - 65366 = 23x - 49036 - 12920", "Combine constants: x - 65366 = 23x - 61956", "Subtract 23x from both sides: -22x - 65366 = -61956", "Add 65366 to both sides: -22x = 3410", "Divide both sides by -22: x = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 65366 = 23(x - 2132) - 12920", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 65366, \"b\": 23, \"c\": 2132, \"e\": -12920, \"x\": -155}", "seed": "1428723183851389304", "semantic_fingerprint": "sha256:697df97356230eba6f1bd88f3b3a8a5be201876e5adec624965b8d00db2ccc66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004950", "prompt": "Calculate: 6756 - (-7014)", "solution_steps": ["Subtract: 6756 - (-7014) = 13770"], "final_answer": "13770", "answer_type": "integer", "kind": "expression", "math_text": "6756 - (-7014)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6756, \"b\": -7014}", "seed": "13877413087237720532", "semantic_fingerprint": "sha256:3863a8bfc2fbdeb1dfcb1e94dede2c1d53856fd076dc59879101e91c0802d5b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004951", "prompt": "What is -3093 / 42839 - (9140 - (-8551))?", "solution_steps": ["Divide: -3093 / 42839 = -3093/42839", "Subtract: 9140 - (-8551) = 17691", "Subtract: -3093/42839 - 17691 = -757867842/42839"], "final_answer": "-757867842/42839", "answer_type": "rational", "kind": "expression", "math_text": "-3093 / 42839 - (9140 - (-8551))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3093, \"b\": 42839, \"c\": 9140, \"d\": -8551}", "seed": "5672052868229463703", "semantic_fingerprint": "sha256:568dd92e5312ff7d153c223948152b86ef4477be47631dfffa8a7248a45c72b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004952", "prompt": "Calculate: (-9638 - (-79174)) * (1372 + (-9826))", "solution_steps": ["Subtract: -9638 - (-79174) = 69536", "Add: 1372 + (-9826) = -8454", "Multiply: 69536 * (-8454) = -587857344"], "final_answer": "-587857344", "answer_type": "integer", "kind": "expression", "math_text": "(-9638 - (-79174)) * (1372 + (-9826))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9638, \"b\": -79174, \"c\": 1372, \"d\": -9826}", "seed": "10982472302913253979", "semantic_fingerprint": "sha256:2c2909ddbd674d33049cdbb7bdcd07bd839de0c69cf75cfd5505072e5ff95e18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004953", "prompt": "Solve for x: x = 32x + 4929", "solution_steps": ["Subtract 32x from both sides: -31x = 4929", "Divide both sides by -31: x = -159"], "final_answer": "-159", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 32x + 4929", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": 4929, \"x\": -159}", "seed": "143810998362463451", "semantic_fingerprint": "sha256:f0eb35c8a8d32c69a78ed959d210665df0e85a15a4e129334f7271e79f7fcf70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004954", "prompt": "What is 60299 + 8351?", "solution_steps": ["Add: 60299 + 8351 = 68650"], "final_answer": "68650", "answer_type": "integer", "kind": "expression", "math_text": "60299 + 8351", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 60299, \"b\": 8351}", "seed": "8872496923336736043", "semantic_fingerprint": "sha256:d96b93f16735d4c69240bcaf12d5c34dc2d338d4b81e101fecb4eb631f0d2f28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004955", "prompt": "Compute: -73857 + 35877 - (4725 + (-5551 - (-5419)))", "solution_steps": ["Add: -73857 + 35877 = -37980", "Subtract: -5551 - (-5419) = -132", "Add: 4725 + (-132) = 4593", "Subtract: -37980 - 4593 = -42573"], "final_answer": "-42573", "answer_type": "integer", "kind": "expression", "math_text": "-73857 + 35877 - (4725 + (-5551 - (-5419)))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -73857, \"b\": 35877, \"c\": 4725, \"d\": -5551, \"e\": -5419}", "seed": "482643227865150996", "semantic_fingerprint": "sha256:6794e74d3252257bed1dfa6089f5fa05f4b3b1b4099bc20fc5410d6533c18119", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004956", "prompt": "What is -7489 - (-3968) - 1971 - (-1923) - 42357?", "solution_steps": ["Subtract: -7489 - (-3968) = -3521", "Subtract: -3521 - 1971 = -5492", "Subtract: -5492 - (-1923) = -3569", "Subtract: -3569 - 42357 = -45926"], "final_answer": "-45926", "answer_type": "integer", "kind": "expression", "math_text": "-7489 - (-3968) - 1971 - (-1923) - 42357", "variable": null, "family": "expression_4op", "shape": "(- (- (- (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7489, \"b\": -3968, \"c\": 1971, \"d\": -1923, \"e\": 42357}", "seed": "14054731116358303563", "semantic_fingerprint": "sha256:3ed7a118ba311f02f4760e0977609ae0d835dd7d6dfe6eaa13321a965fa049c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004957", "prompt": "Calculate: -7694 + (-8022 + (-64399) - (-74643) * (-4615 + (-6497)))", "solution_steps": ["Add: -8022 + (-64399) = -72421", "Add: -4615 + (-6497) = -11112", "Multiply: -74643 * (-11112) = 829433016", "Subtract: -72421 - 829433016 = -829505437", "Add: -7694 + (-829505437) = -829513131"], "final_answer": "-829513131", "answer_type": "integer", "kind": "expression", "math_text": "-7694 + (-8022 + (-64399) - (-74643) * (-4615 + (-6497)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n n) (* n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7694, \"b\": -8022, \"c\": -64399, \"d\": -74643, \"e\": -4615, \"f\": -6497}", "seed": "12645053036300342235", "semantic_fingerprint": "sha256:1e55b106f9850b03bef2ca0d89f56a702938458b73c5289477e66253050d6bd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004958", "prompt": "Compute: (-5045 + 1803) * (-2623 * (-3064) / 7489)", "solution_steps": ["Add: -5045 + 1803 = -3242", "Multiply: -2623 * (-3064) = 8036872", "Divide: 8036872 / 7489 = 8036872/7489", "Multiply: -3242 * (8036872/7489) = -26055539024/7489"], "final_answer": "-26055539024/7489", "answer_type": "rational", "kind": "expression", "math_text": "(-5045 + 1803) * (-2623 * (-3064) / 7489)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5045, \"b\": 1803, \"c\": -2623, \"d\": -3064, \"e\": 7489}", "seed": "1890366466363587899", "semantic_fingerprint": "sha256:eb9b8ef6d39f2db964eb5cd0ae161696fa4f2bf72d9f08407efa9961a8e057da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004959", "prompt": "Solve the equation x + 3515 = 38x for x.", "solution_steps": ["Subtract 38x from both sides: -37x + 3515 = 0", "Subtract 3515 from both sides: -37x = -3515", "Divide both sides by -37: x = 95"], "final_answer": "95", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3515 = 38x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 3515, \"x\": 95}", "seed": "4159651928560204453", "semantic_fingerprint": "sha256:cb82d7f6a7b880306730b64f653fea6327044e259b002d3d9e4d85427d167b8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004960", "prompt": "Calculate: -31356 * 6533", "solution_steps": ["Multiply: -31356 * 6533 = -204848748"], "final_answer": "-204848748", "answer_type": "integer", "kind": "expression", "math_text": "-31356 * 6533", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -31356, \"b\": 6533}", "seed": "10407775237183390183", "semantic_fingerprint": "sha256:7c2daf021cb2dfda119d777b8c741f2132eef3ef584d2af14bfd89e91c0d6bdb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004961", "prompt": "Compute: (-76358 - 8352) * (-2759 - (3695 - (-84324 - 4123)))", "solution_steps": ["Subtract: -76358 - 8352 = -84710", "Subtract: -84324 - 4123 = -88447", "Subtract: 3695 - (-88447) = 92142", "Subtract: -2759 - 92142 = -94901", "Multiply: -84710 * (-94901) = 8039063710"], "final_answer": "8039063710", "answer_type": "integer", "kind": "expression", "math_text": "(-76358 - 8352) * (-2759 - (3695 - (-84324 - 4123)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- n (- n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -76358, \"b\": 8352, \"c\": -2759, \"d\": 3695, \"e\": -84324, \"f\": 4123}", "seed": "14374320422560996392", "semantic_fingerprint": "sha256:acee5a1084c06edcbf708c622cbadc1a16941cf1be47dceac4efe9ca008c3204", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004962", "prompt": "Calculate: -6730 + (-9102 + 6438 - 27564)", "solution_steps": ["Add: -9102 + 6438 = -2664", "Subtract: -2664 - 27564 = -30228", "Add: -6730 + (-30228) = -36958"], "final_answer": "-36958", "answer_type": "integer", "kind": "expression", "math_text": "-6730 + (-9102 + 6438 - 27564)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6730, \"b\": -9102, \"c\": 6438, \"d\": 27564}", "seed": "10985990362400957963", "semantic_fingerprint": "sha256:a78f21d2eeea3b0ec8f04528d96552c98a38a3e5cb2013ce89f4d307b15b6971", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004963", "prompt": "Solve for x: 20(x + 99819) = x + 8515", "solution_steps": ["Expand: 20x + 1996380 = x + 8515", "Subtract x from both sides: 19x + 1996380 = 8515", "Subtract 1996380 from both sides: 19x = -1987865", "Divide both sides by 19: x = -1987865/19"], "final_answer": "-1987865/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x + 99819) = x + 8515", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 99819, \"c\": 8515}", "seed": "4861719188170567868", "semantic_fingerprint": "sha256:77684b649a5d5fba25cfe105116a7db4208ad3bddbbba570e1be8e25cfe4937a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004964", "prompt": "Evaluate: -8075 + 74456", "solution_steps": ["Add: -8075 + 74456 = 66381"], "final_answer": "66381", "answer_type": "integer", "kind": "expression", "math_text": "-8075 + 74456", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8075, \"b\": 74456}", "seed": "11384684926518822934", "semantic_fingerprint": "sha256:0ca1254b23bde596a911ceed04d17ea2f80064cf1becb69d2ecbdbae178a4037", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004965", "prompt": "What is 83961 - 4323?", "solution_steps": ["Subtract: 83961 - 4323 = 79638"], "final_answer": "79638", "answer_type": "integer", "kind": "expression", "math_text": "83961 - 4323", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 83961, \"b\": 4323}", "seed": "14309159223761547906", "semantic_fingerprint": "sha256:68fff013c4abe4f55e7cf2bfa7ffe47402fe8f5448d406a53a77accd28dd7ffb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004966", "prompt": "What is (6880 + (-4872)) / (-79069)?", "solution_steps": ["Add: 6880 + (-4872) = 2008", "Divide: 2008 / (-79069) = -2008/79069"], "final_answer": "-2008/79069", "answer_type": "rational", "kind": "expression", "math_text": "(6880 + (-4872)) / (-79069)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6880, \"b\": -4872, \"c\": -79069}", "seed": "1632750335727763547", "semantic_fingerprint": "sha256:e6522fe611a35990b0f8e8bdbee641b5b845c996c1e14c60c9d7deb8454c7c9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004967", "prompt": "Evaluate: -6388 + 37843 / 72889", "solution_steps": ["Divide: 37843 / 72889 = 37843/72889", "Add: -6388 + 37843/72889 = -465577089/72889"], "final_answer": "-465577089/72889", "answer_type": "rational", "kind": "expression", "math_text": "-6388 + 37843 / 72889", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6388, \"b\": 37843, \"c\": 72889}", "seed": "4544353836086917261", "semantic_fingerprint": "sha256:ffc645b00f58c5aa5d7e105dd21905e3ac233fa2b16c13cef1bcad8f4a984e49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004968", "prompt": "What is -6591 * (-73607)?", "solution_steps": ["Multiply: -6591 * (-73607) = 485143737"], "final_answer": "485143737", "answer_type": "integer", "kind": "expression", "math_text": "-6591 * (-73607)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6591, \"b\": -73607}", "seed": "12580779964643823423", "semantic_fingerprint": "sha256:4bdd4be4f4f7b1d1ec4d7fbf68ffa9c87a897cf7d3e62669322d1be70c95414a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004969", "prompt": "Calculate: 7780 * (-13057) + (97877 - 43558 + 28112) * (-9275)", "solution_steps": ["Multiply: 7780 * (-13057) = -101583460", "Subtract: 97877 - 43558 = 54319", "Add: 54319 + 28112 = 82431", "Multiply: 82431 * (-9275) = -764547525", "Add: -101583460 + (-764547525) = -866130985"], "final_answer": "-866130985", "answer_type": "integer", "kind": "expression", "math_text": "7780 * (-13057) + (97877 - 43558 + 28112) * (-9275)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (+ (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7780, \"b\": -13057, \"c\": 97877, \"d\": 43558, \"e\": 28112, \"f\": -9275}", "seed": "12518618324695528368", "semantic_fingerprint": "sha256:5df2e9f83595031fee20e13b782ba6ebc6f27c551db0cb6245cf9806f4c58877", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004970", "prompt": "Find x: 35(x - 3329) = 14(x - 9796) + 17521", "solution_steps": ["Expand: 35x - 116515 = 14(x - 9796) + 17521", "Expand: 35x - 116515 = 14x - 137144 + 17521", "Combine constants: 35x - 116515 = 14x - 119623", "Subtract 14x from both sides: 21x - 116515 = -119623", "Add 116515 to both sides: 21x = -3108", "Divide both sides by 21: x = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x - 3329) = 14(x - 9796) + 17521", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 3329, \"c\": 14, \"d\": 9796, \"f\": 17521, \"x\": -148}", "seed": "11998075571845621191", "semantic_fingerprint": "sha256:925abd8844602404365b8d4c3d060d0c1823fafb578b872b42fb03dcf8fc2500", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004971", "prompt": "Find x: -25x = 13(x - 2661) + 30869", "solution_steps": ["Expand: -25x = 13x - 34593 + 30869", "Combine constants: -25x = 13x - 3724", "Subtract 13x from both sides: -38x = -3724", "Divide both sides by -38: x = 98"], "final_answer": "98", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x = 13(x - 2661) + 30869", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 13, \"c\": 2661, \"e\": 30869, \"x\": 98}", "seed": "1836626498431135076", "semantic_fingerprint": "sha256:ceefa88092b678e0d2ee9bf6b57b0eac4f51f50813f37282890ad3561441f8c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004972", "prompt": "Evaluate: 1388 - 90280", "solution_steps": ["Subtract: 1388 - 90280 = -88892"], "final_answer": "-88892", "answer_type": "integer", "kind": "expression", "math_text": "1388 - 90280", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1388, \"b\": 90280}", "seed": "5213706896466831466", "semantic_fingerprint": "sha256:c4c331a447abcfc49a586c8f96f2914f72e7431466720d9c133eaaf5ee22b503", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004973", "prompt": "Solve for x: 23(x - 6899) = 39x", "solution_steps": ["Expand: 23x - 158677 = 39x", "Subtract 39x from both sides: -16x - 158677 = 0", "Add 158677 to both sides: -16x = 158677", "Divide both sides by -16: x = -158677/16"], "final_answer": "-158677/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 6899) = 39x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 6899, \"c\": 39}", "seed": "11090781026640818510", "semantic_fingerprint": "sha256:f8ca04754aa97781f6dfcb762899b0ba5afbf1c06dd8bff43bf3497de58402d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004974", "prompt": "Compute: 3017 * (2310 * 59716) / (-9801 + (-5788) + (-2294))", "solution_steps": ["Multiply: 2310 * 59716 = 137943960", "Multiply: 3017 * 137943960 = 416176927320", "Add: -9801 + (-5788) = -15589", "Add: -15589 + (-2294) = -17883", "Divide: 416176927320 / (-17883) = -138725642440/5961"], "final_answer": "-138725642440/5961", "answer_type": "rational", "kind": "expression", "math_text": "3017 * (2310 * 59716) / (-9801 + (-5788) + (-2294))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (* n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3017, \"b\": 2310, \"c\": 59716, \"d\": -9801, \"e\": -5788, \"f\": -2294}", "seed": "7482807299983727532", "semantic_fingerprint": "sha256:106f9d14d9aeb2b8f0d71a82cb24d06a388b26afe5d339dbee5c9d14d624bf90", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004975", "prompt": "Solve the equation 14x + 4793 = 32(x + 38585) - 8674 for x.", "solution_steps": ["Expand: 14x + 4793 = 32x + 1234720 - 8674", "Combine constants: 14x + 4793 = 32x + 1226046", "Subtract 32x from both sides: -18x + 4793 = 1226046", "Subtract 4793 from both sides: -18x = 1221253", "Divide both sides by -18: x = -1221253/18"], "final_answer": "-1221253/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x + 4793 = 32(x + 38585) - 8674", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 4793, \"c\": 32, \"d\": 38585, \"e\": 8674}", "seed": "11403413253082237338", "semantic_fingerprint": "sha256:a6d6d5f567e630d9599a815b6ee0abbd53e49b525a9f65bb488aa8ff4dfcb2f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004976", "prompt": "Solve for x: 15(x + 1552) = 24900", "solution_steps": ["Expand: 15x + 23280 = 24900", "Subtract 23280 from both sides: 15x = 1620", "Divide both sides by 15: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 1552) = 24900", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 1552, \"d\": 24900, \"x\": 108}", "seed": "88954175157424108", "semantic_fingerprint": "sha256:438f0554197ddb4f3e13bbb4e46e4598b2c623c11fafd42121f56d6a30e68f46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004977", "prompt": "Calculate: 2858 - (-6547) - 65736 * (-1603 / (-36645))", "solution_steps": ["Subtract: 2858 - (-6547) = 9405", "Divide: -1603 / (-36645) = 229/5235", "Multiply: 65736 * (229/5235) = 5017848/1745", "Subtract: 9405 - 5017848/1745 = 11393877/1745"], "final_answer": "11393877/1745", "answer_type": "rational", "kind": "expression", "math_text": "2858 - (-6547) - 65736 * (-1603 / (-36645))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2858, \"b\": -6547, \"c\": 65736, \"d\": -1603, \"e\": -36645}", "seed": "9414849498460285688", "semantic_fingerprint": "sha256:652271c50a6760ca0f821c67cd3c939e1fc6ad7f915614148e0e7c97f2b7d64e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004978", "prompt": "Evaluate: -4366 / (-28080 / 7065)", "solution_steps": ["Divide: -28080 / 7065 = -624/157", "Divide: -4366 / (-624/157) = 342731/312"], "final_answer": "342731/312", "answer_type": "rational", "kind": "expression", "math_text": "-4366 / (-28080 / 7065)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4366, \"b\": -28080, \"c\": 7065}", "seed": "1285050293576648332", "semantic_fingerprint": "sha256:0067cb766cdbedcab27be3a73816635e3013e03999b6560a81732cb3ba5facc1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004979", "prompt": "What value of x satisfies x = 30(x - 72280)?", "solution_steps": ["Expand: x = 30x - 2168400", "Subtract 30x from both sides: -29x = -2168400", "Divide both sides by -29: x = 2168400/29"], "final_answer": "2168400/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 30(x - 72280)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 72280}", "seed": "12274179650376783588", "semantic_fingerprint": "sha256:1d8af078adad166b1d316fa28451ff46bab585e735ccd779db369a1590ccf42b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004980", "prompt": "Solve the equation 29(x - 4671) + 9308 = -31(x - 8755) - 92410 for x.", "solution_steps": ["Expand: 29x - 135459 + 9308 = -31(x - 8755) - 92410", "Expand: 29x - 135459 + 9308 = -31x + 271405 - 92410", "Combine constants: 29x - 126151 = -31x + 271405 - 92410", "Combine constants: 29x - 126151 = -31x + 178995", "Add 31x to both sides: 60x - 126151 = 178995", "Add 126151 to both sides: 60x = 305146", "Divide both sides by 60: x = 152573/30"], "final_answer": "152573/30", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 4671) + 9308 = -31(x - 8755) - 92410", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 4671, \"c\": 9308, \"d\": -31, \"e\": 8755, \"f\": 92410}", "seed": "15570679487111832421", "semantic_fingerprint": "sha256:a932416bb7d478af68e333b62ad3156a783436d439f70e5722c4bf903dff1737", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004981", "prompt": "Solve for x: 33(x - 1823) - 1678 = 16x - 59117", "solution_steps": ["Expand: 33x - 60159 - 1678 = 16x - 59117", "Combine constants: 33x - 61837 = 16x - 59117", "Subtract 16x from both sides: 17x - 61837 = -59117", "Add 61837 to both sides: 17x = 2720", "Divide both sides by 17: x = 160"], "final_answer": "160", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 1823) - 1678 = 16x - 59117", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 1823, \"c\": 1678, \"d\": 16, \"f\": -59117, \"x\": 160}", "seed": "15458377098962690132", "semantic_fingerprint": "sha256:740723f3c04f03f25a09202493dff74797b08e02424e4455f67f8da2592c2877", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004982", "prompt": "Solve for x: 36(x - 79160) = 24(x - 9601) - 6197", "solution_steps": ["Expand: 36x - 2849760 = 24(x - 9601) - 6197", "Expand: 36x - 2849760 = 24x - 230424 - 6197", "Combine constants: 36x - 2849760 = 24x - 236621", "Subtract 24x from both sides: 12x - 2849760 = -236621", "Add 2849760 to both sides: 12x = 2613139", "Divide both sides by 12: x = 2613139/12"], "final_answer": "2613139/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 79160) = 24(x - 9601) - 6197", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 79160, \"c\": 24, \"d\": 9601, \"e\": 6197}", "seed": "6272109966993228497", "semantic_fingerprint": "sha256:e1aaabaf291490f868651b28528befdae1c9a5bfb52ab40f90b72e9bbb1f39aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004983", "prompt": "Compute: -1658 * 17274", "solution_steps": ["Multiply: -1658 * 17274 = -28640292"], "final_answer": "-28640292", "answer_type": "integer", "kind": "expression", "math_text": "-1658 * 17274", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1658, \"b\": 17274}", "seed": "9124976323664523989", "semantic_fingerprint": "sha256:5487f138126f0af9b7075424857c3095a3d78cf722ff3110a450ed07b82ee5ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004984", "prompt": "What is -74396 - 92421 / 66199?", "solution_steps": ["Divide: 92421 / 66199 = 13203/9457", "Subtract: -74396 - 13203/9457 = -703576175/9457"], "final_answer": "-703576175/9457", "answer_type": "rational", "kind": "expression", "math_text": "-74396 - 92421 / 66199", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -74396, \"b\": 92421, \"c\": 66199}", "seed": "14142410674013752477", "semantic_fingerprint": "sha256:46709791e4da26161f1d794eeb14483e3bf13d93d18cf58f6e6020a150c21736", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004985", "prompt": "Compute: -6060 * (-41870) / (-2583) + (74521 + 7199)", "solution_steps": ["Multiply: -6060 * (-41870) = 253732200", "Divide: 253732200 / (-2583) = -84577400/861", "Add: 74521 + 7199 = 81720", "Add: -84577400/861 + 81720 = -14216480/861"], "final_answer": "-14216480/861", "answer_type": "rational", "kind": "expression", "math_text": "-6060 * (-41870) / (-2583) + (74521 + 7199)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6060, \"b\": -41870, \"c\": -2583, \"d\": 74521, \"e\": 7199}", "seed": "9744345777584732851", "semantic_fingerprint": "sha256:eab3613f3904a3b456d9824d8f872ff8d556eba1a8dbb6a9d3ed60374dca78a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004986", "prompt": "What value of x satisfies 14(x - 3280) = -33(x - 68191)?", "solution_steps": ["Expand: 14x - 45920 = -33(x - 68191)", "Expand: 14x - 45920 = -33x + 2250303", "Add 33x to both sides: 47x - 45920 = 2250303", "Add 45920 to both sides: 47x = 2296223", "Divide both sides by 47: x = 2296223/47"], "final_answer": "2296223/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 3280) = -33(x - 68191)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 3280, \"c\": -33, \"d\": 68191}", "seed": "14803852683546919105", "semantic_fingerprint": "sha256:b79c8c4dcec4ec4fb58fde624a9d5a580281f51279793b973654186aa9e133f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004987", "prompt": "Compute: -6905 / 9826 + (-5886)", "solution_steps": ["Divide: -6905 / 9826 = -6905/9826", "Add: -6905/9826 + (-5886) = -57842741/9826"], "final_answer": "-57842741/9826", "answer_type": "rational", "kind": "expression", "math_text": "-6905 / 9826 + (-5886)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6905, \"b\": 9826, \"c\": -5886}", "seed": "1623373527653611577", "semantic_fingerprint": "sha256:3534bdcbd16ae8b10ab8c65fbb647baed5126456d0d8f7397d9489e96aaf7cde", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004988", "prompt": "Compute: 1364 * (-9759) - (-23015) + (4206 + 7970) + 7711", "solution_steps": ["Multiply: 1364 * (-9759) = -13311276", "Subtract: -13311276 - (-23015) = -13288261", "Add: 4206 + 7970 = 12176", "Add: -13288261 + 12176 = -13276085", "Add: -13276085 + 7711 = -13268374"], "final_answer": "-13268374", "answer_type": "integer", "kind": "expression", "math_text": "1364 * (-9759) - (-23015) + (4206 + 7970) + 7711", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (* n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1364, \"b\": -9759, \"c\": -23015, \"d\": 4206, \"e\": 7970, \"f\": 7711}", "seed": "14393244663744769838", "semantic_fingerprint": "sha256:e24490ba6e8b021cdb93ed3a9b66627ef9ee74f74f5c7aa1aae3ee03ee104f82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004989", "prompt": "Solve the equation x = 17(x - 8923) for x.", "solution_steps": ["Expand: x = 17x - 151691", "Subtract 17x from both sides: -16x = -151691", "Divide both sides by -16: x = 151691/16"], "final_answer": "151691/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 17(x - 8923)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 8923}", "seed": "7860543785526073043", "semantic_fingerprint": "sha256:99d8ea51ceca82e019c99874ba23155a17c709f1014b71505e4569a475c6e379", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004990", "prompt": "What is -24730 + 7426 + 60905 * (-1821 * 1879 / (-4746))?", "solution_steps": ["Add: -24730 + 7426 = -17304", "Multiply: -1821 * 1879 = -3421659", "Divide: -3421659 / (-4746) = 1140553/1582", "Multiply: 60905 * (1140553/1582) = 69465380465/1582", "Add: -17304 + 69465380465/1582 = 69438005537/1582"], "final_answer": "69438005537/1582", "answer_type": "rational", "kind": "expression", "math_text": "-24730 + 7426 + 60905 * (-1821 * 1879 / (-4746))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* n (/ (* n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24730, \"b\": 7426, \"c\": 60905, \"d\": -1821, \"e\": 1879, \"f\": -4746}", "seed": "12214646758712587827", "semantic_fingerprint": "sha256:99f573d8baa2fb503c66372da89c4048406598797c8cd758a2875b39b9079926", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004991", "prompt": "Calculate: 2122 * (-5125 - (-52025) - 8571)", "solution_steps": ["Subtract: -5125 - (-52025) = 46900", "Subtract: 46900 - 8571 = 38329", "Multiply: 2122 * 38329 = 81334138"], "final_answer": "81334138", "answer_type": "integer", "kind": "expression", "math_text": "2122 * (-5125 - (-52025) - 8571)", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2122, \"b\": -5125, \"c\": -52025, \"d\": 8571}", "seed": "1270697742999334396", "semantic_fingerprint": "sha256:d9dd4f380c9098315f3559b07e8d853471f5ad0b638024bf08139374f667e42c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004992", "prompt": "Solve for x: x = -27(x + 13826)", "solution_steps": ["Expand: x = -27x - 373302", "Add 27x to both sides: 28x = -373302", "Divide both sides by 28: x = -186651/14"], "final_answer": "-186651/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -27(x + 13826)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 13826}", "seed": "7488540467014509385", "semantic_fingerprint": "sha256:5529c26f27381ac86c6cebf176aac6733d746a5eb5d77527cab22205962eac92", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004993", "prompt": "Calculate: -93625 / (-94077)", "solution_steps": ["Divide: -93625 / (-94077) = 93625/94077"], "final_answer": "93625/94077", "answer_type": "rational", "kind": "expression", "math_text": "-93625 / (-94077)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -93625, \"b\": -94077}", "seed": "13158128374728074390", "semantic_fingerprint": "sha256:26e26551e8939e1aca3f7c1533cd1a89776920bd9158156527302aa82c8ef5db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004994", "prompt": "Calculate: 1202 * 6358 * (-2475)", "solution_steps": ["Multiply: 1202 * 6358 = 7642316", "Multiply: 7642316 * (-2475) = -18914732100"], "final_answer": "-18914732100", "answer_type": "integer", "kind": "expression", "math_text": "1202 * 6358 * (-2475)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1202, \"b\": 6358, \"c\": -2475}", "seed": "13115234675717723972", "semantic_fingerprint": "sha256:7053d62b3ca3b21c7496db7f35fa0dd0b5dad209a7e51c0f5740937d2deb68f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004995", "prompt": "Calculate: 43167 - 38506", "solution_steps": ["Subtract: 43167 - 38506 = 4661"], "final_answer": "4661", "answer_type": "integer", "kind": "expression", "math_text": "43167 - 38506", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 43167, \"b\": 38506}", "seed": "3755718891017679240", "semantic_fingerprint": "sha256:cd3ad2a1206c8856ec9f26728519232f295ca6eb09cdac75e5fc9fcdeb566d14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004996", "prompt": "Calculate: -3927 + (-74577)", "solution_steps": ["Add: -3927 + (-74577) = -78504"], "final_answer": "-78504", "answer_type": "integer", "kind": "expression", "math_text": "-3927 + (-74577)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3927, \"b\": -74577}", "seed": "2807588350356239205", "semantic_fingerprint": "sha256:2e57d992e659e029157b25c4bca0ec60c7d9a53336fbb259900d837cf3857df7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004997", "prompt": "Compute: 9695 + (-60001) - (-7748) / (-4332)", "solution_steps": ["Add: 9695 + (-60001) = -50306", "Divide: -7748 / (-4332) = 1937/1083", "Subtract: -50306 - 1937/1083 = -54483335/1083"], "final_answer": "-54483335/1083", "answer_type": "rational", "kind": "expression", "math_text": "9695 + (-60001) - (-7748) / (-4332)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9695, \"b\": -60001, \"c\": -7748, \"d\": -4332}", "seed": "8149382906997658499", "semantic_fingerprint": "sha256:eb8071b4556501696478e6dec710e8dac4aa3a1b9baddcea80a7ce398df2d538", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004998", "prompt": "Compute: -3274 * 4226", "solution_steps": ["Multiply: -3274 * 4226 = -13835924"], "final_answer": "-13835924", "answer_type": "integer", "kind": "expression", "math_text": "-3274 * 4226", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3274, \"b\": 4226}", "seed": "13468818390561953414", "semantic_fingerprint": "sha256:2a5e65a3f19f75bafe7587bcdb392e68b59ad1424a053c5e42475e1b5ecbcfe5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00004999", "prompt": "What value of x satisfies 23(x - 5859) + 8253 = 35(x - 6018) - 7660?", "solution_steps": ["Expand: 23x - 134757 + 8253 = 35(x - 6018) - 7660", "Expand: 23x - 134757 + 8253 = 35x - 210630 - 7660", "Combine constants: 23x - 126504 = 35x - 210630 - 7660", "Combine constants: 23x - 126504 = 35x - 218290", "Subtract 35x from both sides: -12x - 126504 = -218290", "Add 126504 to both sides: -12x = -91786", "Divide both sides by -12: x = 45893/6"], "final_answer": "45893/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 5859) + 8253 = 35(x - 6018) - 7660", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5859, \"c\": 8253, \"d\": 35, \"e\": 6018, \"f\": 7660}", "seed": "10498487727318879305", "semantic_fingerprint": "sha256:f40e5aff4e4e77ee6545b147459bb2e7ab41825739819058e9c28cee017753aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005000", "prompt": "Compute: -68896 + (96607 - (-99198))", "solution_steps": ["Subtract: 96607 - (-99198) = 195805", "Add: -68896 + 195805 = 126909"], "final_answer": "126909", "answer_type": "integer", "kind": "expression", "math_text": "-68896 + (96607 - (-99198))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -68896, \"b\": 96607, \"c\": -99198}", "seed": "6674306292141772392", "semantic_fingerprint": "sha256:e595815c28d04751cde6d8d86779c75cb13424d69232520ea5de87810e9322a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005001", "prompt": "Solve the equation 35(x + 7155) = -34(x - 59065) for x.", "solution_steps": ["Expand: 35x + 250425 = -34(x - 59065)", "Expand: 35x + 250425 = -34x + 2008210", "Add 34x to both sides: 69x + 250425 = 2008210", "Subtract 250425 from both sides: 69x = 1757785", "Divide both sides by 69: x = 1757785/69"], "final_answer": "1757785/69", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 7155) = -34(x - 59065)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7155, \"c\": -34, \"d\": 59065}", "seed": "15885398616131318337", "semantic_fingerprint": "sha256:b9d8dbe746899e03f2293ec4464c06d2cd6c1b3fe10d2507420c8142626f84ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005002", "prompt": "Solve for x: -25x - 5096 = x", "solution_steps": ["Subtract x from both sides: -26x - 5096 = 0", "Add 5096 to both sides: -26x = 5096", "Divide both sides by -26: x = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "linear_equation", "math_text": "-25x - 5096 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"c\": -5096, \"x\": -196}", "seed": "18145810230487777719", "semantic_fingerprint": "sha256:7979bbd7f2fff511c95cb682e2a586281bb352688d30d47b3dea7d419081fc46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005003", "prompt": "Compute: -9711 / 60425 + 86438", "solution_steps": ["Divide: -9711 / 60425 = -9711/60425", "Add: -9711/60425 + 86438 = 5223006439/60425"], "final_answer": "5223006439/60425", "answer_type": "rational", "kind": "expression", "math_text": "-9711 / 60425 + 86438", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9711, \"b\": 60425, \"c\": 86438}", "seed": "531687644167972572", "semantic_fingerprint": "sha256:d2ad3f11ebd8a3f7d9696d71f5d247aedffe14c480dac8794360d6439593772d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005004", "prompt": "Evaluate: 41207 / 25929", "solution_steps": ["Divide: 41207 / 25929 = 41207/25929"], "final_answer": "41207/25929", "answer_type": "rational", "kind": "expression", "math_text": "41207 / 25929", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41207, \"b\": 25929}", "seed": "595327369399755582", "semantic_fingerprint": "sha256:bdcfdf0df29c0f87270089973e5444fa8b947c327bab4c2d780b2b5177eb1da5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005005", "prompt": "Compute: 42322 + (-44169 * (-91062) - (5130 - (-3351)))", "solution_steps": ["Multiply: -44169 * (-91062) = 4022117478", "Subtract: 5130 - (-3351) = 8481", "Subtract: 4022117478 - 8481 = 4022108997", "Add: 42322 + 4022108997 = 4022151319"], "final_answer": "4022151319", "answer_type": "integer", "kind": "expression", "math_text": "42322 + (-44169 * (-91062) - (5130 - (-3351)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42322, \"b\": -44169, \"c\": -91062, \"d\": 5130, \"e\": -3351}", "seed": "12618827488122912080", "semantic_fingerprint": "sha256:371e24c13ad3b06a8d166f2275b10c8713bf3f736d86ad60d80fece9fd7c216c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005006", "prompt": "Solve the equation -39(x - 37409) + 5904 = 35(x - 62417) - 5984 for x.", "solution_steps": ["Expand: -39x + 1458951 + 5904 = 35(x - 62417) - 5984", "Expand: -39x + 1458951 + 5904 = 35x - 2184595 - 5984", "Combine constants: -39x + 1464855 = 35x - 2184595 - 5984", "Combine constants: -39x + 1464855 = 35x - 2190579", "Subtract 35x from both sides: -74x + 1464855 = -2190579", "Subtract 1464855 from both sides: -74x = -3655434", "Divide both sides by -74: x = 1827717/37"], "final_answer": "1827717/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x - 37409) + 5904 = 35(x - 62417) - 5984", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 37409, \"c\": 5904, \"d\": 35, \"e\": 62417, \"f\": 5984}", "seed": "3058745863428486383", "semantic_fingerprint": "sha256:9ade6928d7098fdaf51e67b0e7251cc69d984cb4c7a64bf4d6e795303cba224c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005007", "prompt": "Compute: -6663 - 7524", "solution_steps": ["Subtract: -6663 - 7524 = -14187"], "final_answer": "-14187", "answer_type": "integer", "kind": "expression", "math_text": "-6663 - 7524", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6663, \"b\": 7524}", "seed": "6611035763145564535", "semantic_fingerprint": "sha256:e04913a55b9fab6772b7bb47d735b16546a42b10a2845fefc3084156b98054d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005008", "prompt": "What is -41170 + 7058?", "solution_steps": ["Add: -41170 + 7058 = -34112"], "final_answer": "-34112", "answer_type": "integer", "kind": "expression", "math_text": "-41170 + 7058", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -41170, \"b\": 7058}", "seed": "2029052406863777950", "semantic_fingerprint": "sha256:be64ff6ef6af5e5e8b014f8cc973bc9d2f0d061e94d64d9541d90944305d9acf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005009", "prompt": "Find x: -15(x - 9206) = 18(x + 8589) - 13014", "solution_steps": ["Expand: -15x + 138090 = 18(x + 8589) - 13014", "Expand: -15x + 138090 = 18x + 154602 - 13014", "Combine constants: -15x + 138090 = 18x + 141588", "Subtract 18x from both sides: -33x + 138090 = 141588", "Subtract 138090 from both sides: -33x = 3498", "Divide both sides by -33: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x - 9206) = 18(x + 8589) - 13014", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 9206, \"c\": 18, \"d\": 8589, \"f\": -13014, \"x\": -106}", "seed": "17474493006762418510", "semantic_fingerprint": "sha256:c1ea4646e922e12992c1ab83a47eb8c785682ef25ed05d8f727a4cba310b80e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005010", "prompt": "Evaluate: -2880 - (-82868)", "solution_steps": ["Subtract: -2880 - (-82868) = 79988"], "final_answer": "79988", "answer_type": "integer", "kind": "expression", "math_text": "-2880 - (-82868)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2880, \"b\": -82868}", "seed": "18220272773329986875", "semantic_fingerprint": "sha256:4d1b38f828af16c62a23df39a7648201ee8067e708566db47738b5a510e27c7e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005011", "prompt": "Solve the equation 23(x - 8400) = -20(x + 5736) for x.", "solution_steps": ["Expand: 23x - 193200 = -20(x + 5736)", "Expand: 23x - 193200 = -20x - 114720", "Add 20x to both sides: 43x - 193200 = -114720", "Add 193200 to both sides: 43x = 78480", "Divide both sides by 43: x = 78480/43"], "final_answer": "78480/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 8400) = -20(x + 5736)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 8400, \"c\": -20, \"d\": 5736}", "seed": "16865182546432525571", "semantic_fingerprint": "sha256:aa677adc5bdc42716fbea65d7d3553919cf8c39d4ceef3a3c216128eddc1cef8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005012", "prompt": "Solve for x: 20(x - 3952) + 7654 = x - 69391", "solution_steps": ["Expand: 20x - 79040 + 7654 = x - 69391", "Combine constants: 20x - 71386 = x - 69391", "Subtract x from both sides: 19x - 71386 = -69391", "Add 71386 to both sides: 19x = 1995", "Divide both sides by 19: x = 105"], "final_answer": "105", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 3952) + 7654 = x - 69391", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3952, \"c\": 7654, \"e\": -69391, \"x\": 105}", "seed": "4026630777990937258", "semantic_fingerprint": "sha256:a0a3d2e9262b30e6f7bb38659829ef985892f71b2bcd6e12d442efad508e434d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005013", "prompt": "Calculate: 84479 + (-97971)", "solution_steps": ["Add: 84479 + (-97971) = -13492"], "final_answer": "-13492", "answer_type": "integer", "kind": "expression", "math_text": "84479 + (-97971)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 84479, \"b\": -97971}", "seed": "5796177129009229112", "semantic_fingerprint": "sha256:217ac688c2c28446c8b5c7ce151b980dc1ba61342f7812b176989816a69cde89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005014", "prompt": "What is -4271 * (-68677)?", "solution_steps": ["Multiply: -4271 * (-68677) = 293319467"], "final_answer": "293319467", "answer_type": "integer", "kind": "expression", "math_text": "-4271 * (-68677)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4271, \"b\": -68677}", "seed": "769279138738963447", "semantic_fingerprint": "sha256:28116d54a75dca218b27bdf1c0e2a55a7b4a071428425000de25a693a394e073", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005015", "prompt": "Solve the equation 19(x + 9606) = 23(x + 3879) for x.", "solution_steps": ["Expand: 19x + 182514 = 23(x + 3879)", "Expand: 19x + 182514 = 23x + 89217", "Subtract 23x from both sides: -4x + 182514 = 89217", "Subtract 182514 from both sides: -4x = -93297", "Divide both sides by -4: x = 93297/4"], "final_answer": "93297/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 9606) = 23(x + 3879)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 9606, \"c\": 23, \"d\": 3879}", "seed": "264607263802013724", "semantic_fingerprint": "sha256:ef4d4a148bca699fbbc37b81b0e745de224ca4eb944d838299fac9c3c18d4945", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005016", "prompt": "What is (5686 - (-1561) + (-7948)) * (-6915) / 4471 - 92601?", "solution_steps": ["Subtract: 5686 - (-1561) = 7247", "Add: 7247 + (-7948) = -701", "Multiply: -701 * (-6915) = 4847415", "Divide: 4847415 / 4471 = 4847415/4471", "Subtract: 4847415/4471 - 92601 = -409171656/4471"], "final_answer": "-409171656/4471", "answer_type": "rational", "kind": "expression", "math_text": "(5686 - (-1561) + (-7948)) * (-6915) / 4471 - 92601", "variable": null, "family": "expression_5op", "shape": "(- (/ (* (+ (- n n) n) n) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5686, \"b\": -1561, \"c\": -7948, \"d\": -6915, \"e\": 4471, \"f\": 92601}", "seed": "12817683810320927903", "semantic_fingerprint": "sha256:5013b7a637478268a65ed431645e591730686d7072429e41e2f3dfacd284567d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005017", "prompt": "Solve for x: 13x - 67316 = x", "solution_steps": ["Subtract x from both sides: 12x - 67316 = 0", "Add 67316 to both sides: 12x = 67316", "Divide both sides by 12: x = 16829/3"], "final_answer": "16829/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x - 67316 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 67316}", "seed": "4673481251273225848", "semantic_fingerprint": "sha256:cbef82a86993c0be4d0ffd821da177aa93443d9c45410f45847c86bea997d93f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005018", "prompt": "What is -69263 - (51372 - (-40704))?", "solution_steps": ["Subtract: 51372 - (-40704) = 92076", "Subtract: -69263 - 92076 = -161339"], "final_answer": "-161339", "answer_type": "integer", "kind": "expression", "math_text": "-69263 - (51372 - (-40704))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -69263, \"b\": 51372, \"c\": -40704}", "seed": "9788204149814305798", "semantic_fingerprint": "sha256:769643402d682704bd878885716ca2df8078a5f86fbf62c88deff7f92ec7239a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005019", "prompt": "Evaluate: (-76522 + (-74309)) / (-93639 / (93877 - 4494))", "solution_steps": ["Add: -76522 + (-74309) = -150831", "Subtract: 93877 - 4494 = 89383", "Divide: -93639 / 89383 = -13377/12769", "Divide: -150831 / (-13377/12769) = 641987013/4459"], "final_answer": "641987013/4459", "answer_type": "rational", "kind": "expression", "math_text": "(-76522 + (-74309)) / (-93639 / (93877 - 4494))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76522, \"b\": -74309, \"c\": -93639, \"d\": 93877, \"e\": 4494}", "seed": "8002985370948049669", "semantic_fingerprint": "sha256:eb5e622e5406b63771bc88cc349df226b7426aa8721169481eb8eeb4cbd2455c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005020", "prompt": "What is -20046 - (-66212)?", "solution_steps": ["Subtract: -20046 - (-66212) = 46166"], "final_answer": "46166", "answer_type": "integer", "kind": "expression", "math_text": "-20046 - (-66212)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -20046, \"b\": -66212}", "seed": "1619854718315623750", "semantic_fingerprint": "sha256:6b22d2d61951cc27181b29623befe8268144cb05c8dc5fb966681549e167a7d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005021", "prompt": "Calculate: 50249 / 8937", "solution_steps": ["Divide: 50249 / 8937 = 50249/8937"], "final_answer": "50249/8937", "answer_type": "rational", "kind": "expression", "math_text": "50249 / 8937", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 50249, \"b\": 8937}", "seed": "5726641188986715717", "semantic_fingerprint": "sha256:2cdb3bc5c62a47e9613abe0d54c3e788b57c1342fca93bcd5fd7e2ec9810d0a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005022", "prompt": "Compute: 3536 - (-8415 - 6826)", "solution_steps": ["Subtract: -8415 - 6826 = -15241", "Subtract: 3536 - (-15241) = 18777"], "final_answer": "18777", "answer_type": "integer", "kind": "expression", "math_text": "3536 - (-8415 - 6826)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3536, \"b\": -8415, \"c\": 6826}", "seed": "5759832529628039243", "semantic_fingerprint": "sha256:2acc9e42e0a98c5e2acd92641435ef7135b9120c83157c3bccb828c859ae7f79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005023", "prompt": "Find x: 15(x - 3312) + 97264 = x + 49614", "solution_steps": ["Expand: 15x - 49680 + 97264 = x + 49614", "Combine constants: 15x + 47584 = x + 49614", "Subtract x from both sides: 14x + 47584 = 49614", "Subtract 47584 from both sides: 14x = 2030", "Divide both sides by 14: x = 145"], "final_answer": "145", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x - 3312) + 97264 = x + 49614", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 3312, \"c\": 97264, \"e\": 49614, \"x\": 145}", "seed": "1090763407512805972", "semantic_fingerprint": "sha256:992e39afaf87f993b680246b05d5880f54f835e5e88f18a20d83f6d992b56507", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005024", "prompt": "Evaluate: 59720 / (-7646) + (-64499)", "solution_steps": ["Divide: 59720 / (-7646) = -29860/3823", "Add: -29860/3823 + (-64499) = -246609537/3823"], "final_answer": "-246609537/3823", "answer_type": "rational", "kind": "expression", "math_text": "59720 / (-7646) + (-64499)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 59720, \"b\": -7646, \"c\": -64499}", "seed": "3375264699628284529", "semantic_fingerprint": "sha256:920414b42fae563a254d980b54a191ff1e3373afda6e8b180522e3e6fb50d0ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005025", "prompt": "Evaluate: 7095 / (-9966) * (6142 + 7964) / (-9270)", "solution_steps": ["Divide: 7095 / (-9966) = -215/302", "Add: 6142 + 7964 = 14106", "Multiply: (-215/302) * 14106 = -1516395/151", "Divide: (-1516395/151) / (-9270) = 101093/93318"], "final_answer": "101093/93318", "answer_type": "rational", "kind": "expression", "math_text": "7095 / (-9966) * (6142 + 7964) / (-9270)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7095, \"b\": -9966, \"c\": 6142, \"d\": 7964, \"e\": -9270}", "seed": "2791230208141252790", "semantic_fingerprint": "sha256:6e46bfbb59d2855c4b32038af464e5f614a1758cd17d4ecd3f02056ec3a69a7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005026", "prompt": "Compute: -25691 + 94278", "solution_steps": ["Add: -25691 + 94278 = 68587"], "final_answer": "68587", "answer_type": "integer", "kind": "expression", "math_text": "-25691 + 94278", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -25691, \"b\": 94278}", "seed": "6859685452180883864", "semantic_fingerprint": "sha256:ed07d2e8cd04730589e8939b8f88e87b93a712e56892f114adcad8adafd20674", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005027", "prompt": "Evaluate: -36855 * (-47206) + (-78688 + 7996)", "solution_steps": ["Multiply: -36855 * (-47206) = 1739777130", "Add: -78688 + 7996 = -70692", "Add: 1739777130 + (-70692) = 1739706438"], "final_answer": "1739706438", "answer_type": "integer", "kind": "expression", "math_text": "-36855 * (-47206) + (-78688 + 7996)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36855, \"b\": -47206, \"c\": -78688, \"d\": 7996}", "seed": "9266621220796250732", "semantic_fingerprint": "sha256:3aa2748b101ead20791313acf563b9f24f4a24d78246112a2ca713e424871c4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005028", "prompt": "Solve the equation x = -24(x + 55700) for x.", "solution_steps": ["Expand: x = -24x - 1336800", "Add 24x to both sides: 25x = -1336800", "Divide both sides by 25: x = -53472"], "final_answer": "-53472", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -24(x + 55700)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 55700}", "seed": "249457882469345439", "semantic_fingerprint": "sha256:830975ecfce39820985f5f5746dc21d2b3520d5e32edcbc07da633ef7e831862", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005029", "prompt": "What is -49221 + 3890?", "solution_steps": ["Add: -49221 + 3890 = -45331"], "final_answer": "-45331", "answer_type": "integer", "kind": "expression", "math_text": "-49221 + 3890", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -49221, \"b\": 3890}", "seed": "15778701179836312036", "semantic_fingerprint": "sha256:e5ba8b92e18bff806d54792f1649e089aba0a2b11e51bb03e7e2aae39fbaaa74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005030", "prompt": "Evaluate: (4002 + 9108) * (6901 / (-1609))", "solution_steps": ["Add: 4002 + 9108 = 13110", "Divide: 6901 / (-1609) = -6901/1609", "Multiply: 13110 * (-6901/1609) = -90472110/1609"], "final_answer": "-90472110/1609", "answer_type": "rational", "kind": "expression", "math_text": "(4002 + 9108) * (6901 / (-1609))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4002, \"b\": 9108, \"c\": 6901, \"d\": -1609}", "seed": "12773720601053345220", "semantic_fingerprint": "sha256:b188609358644ba033b4b21b36637b5d41892f2bc5ae5ec485ff71f3b4356bd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005031", "prompt": "Calculate: -2173 * 56989", "solution_steps": ["Multiply: -2173 * 56989 = -123837097"], "final_answer": "-123837097", "answer_type": "integer", "kind": "expression", "math_text": "-2173 * 56989", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2173, \"b\": 56989}", "seed": "2848875618058796669", "semantic_fingerprint": "sha256:cf151ced47088843513069aeef4bf644751bacc512f732842592f625a8068b9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005032", "prompt": "What is 66077 - 57682?", "solution_steps": ["Subtract: 66077 - 57682 = 8395"], "final_answer": "8395", "answer_type": "integer", "kind": "expression", "math_text": "66077 - 57682", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 66077, \"b\": 57682}", "seed": "7791827093486367906", "semantic_fingerprint": "sha256:c1eb896e8eb1485f4fd0f4d568c08b47be0472b1611c00e5a28e655aee81ad9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005033", "prompt": "What is 21180 * (-32420) / (-1969 - 26290)?", "solution_steps": ["Multiply: 21180 * (-32420) = -686655600", "Subtract: -1969 - 26290 = -28259", "Divide: -686655600 / (-28259) = 686655600/28259"], "final_answer": "686655600/28259", "answer_type": "rational", "kind": "expression", "math_text": "21180 * (-32420) / (-1969 - 26290)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21180, \"b\": -32420, \"c\": -1969, \"d\": 26290}", "seed": "170254075277261824", "semantic_fingerprint": "sha256:89161f76b03d8fd917e50648df711ed3f5df02ef530e664c099f0e15d5e3d0d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005034", "prompt": "Calculate: -9617 + 5218 - (-7481) / (-33274)", "solution_steps": ["Add: -9617 + 5218 = -4399", "Divide: -7481 / (-33274) = 7481/33274", "Subtract: -4399 - 7481/33274 = -146379807/33274"], "final_answer": "-146379807/33274", "answer_type": "rational", "kind": "expression", "math_text": "-9617 + 5218 - (-7481) / (-33274)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9617, \"b\": 5218, \"c\": -7481, \"d\": -33274}", "seed": "11233093661669706553", "semantic_fingerprint": "sha256:35eb28b638226bb203bc9f966365ccae195c6dd2e5d5e22b6cc9d3c52fcc9af7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005035", "prompt": "What value of x satisfies x = -22(x - 85537)?", "solution_steps": ["Expand: x = -22x + 1881814", "Add 22x to both sides: 23x = 1881814", "Divide both sides by 23: x = 81818"], "final_answer": "81818", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -22(x - 85537)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 85537}", "seed": "2574270210891593151", "semantic_fingerprint": "sha256:083a1608fb6ecc15c50b6ec2e43aee12b600a7a3e3bce2d5a6e50636f4ef74ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005036", "prompt": "Solve for x: 20x = x + 2128", "solution_steps": ["Subtract x from both sides: 19x = 2128", "Divide both sides by 19: x = 112"], "final_answer": "112", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = x + 2128", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 2128, \"x\": 112}", "seed": "7773716375749409468", "semantic_fingerprint": "sha256:65f91c926895270b5ffc4e70be8c619b271ebf9a16c0ac15f584e1f33e3c317b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005037", "prompt": "Compute: -4123 - 4381 + (-9273 + 2008) * (-84047)", "solution_steps": ["Subtract: -4123 - 4381 = -8504", "Add: -9273 + 2008 = -7265", "Multiply: -7265 * (-84047) = 610601455", "Add: -8504 + 610601455 = 610592951"], "final_answer": "610592951", "answer_type": "integer", "kind": "expression", "math_text": "-4123 - 4381 + (-9273 + 2008) * (-84047)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4123, \"b\": 4381, \"c\": -9273, \"d\": 2008, \"e\": -84047}", "seed": "12886542406909261600", "semantic_fingerprint": "sha256:f4044455f48bea36e69ddc88b7c49af103696e8cd0716a841ab40b467bb33de9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005038", "prompt": "Evaluate: 8169 * 15117 + (-88404 + 6339) * 74160", "solution_steps": ["Multiply: 8169 * 15117 = 123490773", "Add: -88404 + 6339 = -82065", "Multiply: -82065 * 74160 = -6085940400", "Add: 123490773 + (-6085940400) = -5962449627"], "final_answer": "-5962449627", "answer_type": "integer", "kind": "expression", "math_text": "8169 * 15117 + (-88404 + 6339) * 74160", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8169, \"b\": 15117, \"c\": -88404, \"d\": 6339, \"e\": 74160}", "seed": "8020546738294212960", "semantic_fingerprint": "sha256:9590fd60375d243bbab8dc80aca5f1da3cb809f4ed66affdd320af473e66107f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005039", "prompt": "Solve the equation -13(x + 4191) = 20(x - 4318) for x.", "solution_steps": ["Expand: -13x - 54483 = 20(x - 4318)", "Expand: -13x - 54483 = 20x - 86360", "Subtract 20x from both sides: -33x - 54483 = -86360", "Add 54483 to both sides: -33x = -31877", "Divide both sides by -33: x = 31877/33"], "final_answer": "31877/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 4191) = 20(x - 4318)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 4191, \"c\": 20, \"d\": 4318}", "seed": "18043275865467209542", "semantic_fingerprint": "sha256:7e66513c61e7363c716ca24fadb2588c37b4ec1d6d3fb869a7c22de7f9143c2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005040", "prompt": "Solve the equation x + 4624 = -33x for x.", "solution_steps": ["Add 33x to both sides: 34x + 4624 = 0", "Subtract 4624 from both sides: 34x = -4624", "Divide both sides by 34: x = -136"], "final_answer": "-136", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4624 = -33x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33, \"c\": 4624, \"x\": -136}", "seed": "8011550658064430090", "semantic_fingerprint": "sha256:3ce7de8d5d89329f4c07730add36eb1afc43dcea851642dbeeca9adb0af21746", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005041", "prompt": "What is -3360 + 52449?", "solution_steps": ["Add: -3360 + 52449 = 49089"], "final_answer": "49089", "answer_type": "integer", "kind": "expression", "math_text": "-3360 + 52449", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3360, \"b\": 52449}", "seed": "7925990516437363297", "semantic_fingerprint": "sha256:9ba2b1d90d6e6ed01cb75923d0c76d1fabd9d8393234c950a2c66e0bbded89b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005042", "prompt": "What is 6088 * ((3466 - (-1678)) / (6357 - 9109))?", "solution_steps": ["Subtract: 3466 - (-1678) = 5144", "Subtract: 6357 - 9109 = -2752", "Divide: 5144 / (-2752) = -643/344", "Multiply: 6088 * (-643/344) = -489323/43"], "final_answer": "-489323/43", "answer_type": "rational", "kind": "expression", "math_text": "6088 * ((3466 - (-1678)) / (6357 - 9109))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6088, \"b\": 3466, \"c\": -1678, \"d\": 6357, \"e\": 9109}", "seed": "10003884864198284208", "semantic_fingerprint": "sha256:6b7d5f9e504ec22586a8656b12de6d608100068979d69ad3357e68299c4db70b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005043", "prompt": "What is 3741 - (-1199 + (-98186) * (-8151))?", "solution_steps": ["Multiply: -98186 * (-8151) = 800314086", "Add: -1199 + 800314086 = 800312887", "Subtract: 3741 - 800312887 = -800309146"], "final_answer": "-800309146", "answer_type": "integer", "kind": "expression", "math_text": "3741 - (-1199 + (-98186) * (-8151))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3741, \"b\": -1199, \"c\": -98186, \"d\": -8151}", "seed": "17066555043191743009", "semantic_fingerprint": "sha256:ac0571d4f0c6f21d6da8ae5c89164f48db4e5deaf6e782dbb038e3c7f6ad4d4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005044", "prompt": "Compute: -23799 * 4625 - 40786 * 63470", "solution_steps": ["Multiply: -23799 * 4625 = -110070375", "Multiply: 40786 * 63470 = 2588687420", "Subtract: -110070375 - 2588687420 = -2698757795"], "final_answer": "-2698757795", "answer_type": "integer", "kind": "expression", "math_text": "-23799 * 4625 - 40786 * 63470", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23799, \"b\": 4625, \"c\": 40786, \"d\": 63470}", "seed": "8574047993690803516", "semantic_fingerprint": "sha256:dc94cd3c25b730a503bf187d8998cb55784e2c3181b310702730051afce4c177", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005045", "prompt": "Calculate: -9687 / 8062", "solution_steps": ["Divide: -9687 / 8062 = -9687/8062"], "final_answer": "-9687/8062", "answer_type": "rational", "kind": "expression", "math_text": "-9687 / 8062", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9687, \"b\": 8062}", "seed": "4026113415306623868", "semantic_fingerprint": "sha256:a35e264a5b9b67604baf56865133e0e5f891560915000c2ddb47ac4b125ea23d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005046", "prompt": "Calculate: -6576 * 36067 / 8386 - 61085", "solution_steps": ["Multiply: -6576 * 36067 = -237176592", "Divide: -237176592 / 8386 = -118588296/4193", "Subtract: -118588296/4193 - 61085 = -374717701/4193"], "final_answer": "-374717701/4193", "answer_type": "rational", "kind": "expression", "math_text": "-6576 * 36067 / 8386 - 61085", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6576, \"b\": 36067, \"c\": 8386, \"d\": 61085}", "seed": "4230381488359849892", "semantic_fingerprint": "sha256:243981940af27319b5b4890daa4df140dcbede1dc55ed7113d39f05514e6d188", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005047", "prompt": "Calculate: -3068 - 92784 + (-21096 + 6895)", "solution_steps": ["Subtract: -3068 - 92784 = -95852", "Add: -21096 + 6895 = -14201", "Add: -95852 + (-14201) = -110053"], "final_answer": "-110053", "answer_type": "integer", "kind": "expression", "math_text": "-3068 - 92784 + (-21096 + 6895)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3068, \"b\": 92784, \"c\": -21096, \"d\": 6895}", "seed": "8372392377005567683", "semantic_fingerprint": "sha256:a2bb37b95f3c59a49b51e778617a90cf935fae9eea63808feab8ddcf14b395a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005048", "prompt": "Solve for x: 20x + 4478 = 1118", "solution_steps": ["Subtract 4478 from both sides: 20x = -3360", "Divide both sides by 20: x = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 4478 = 1118", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 4478, \"d\": 1118, \"x\": -168}", "seed": "758848840040104566", "semantic_fingerprint": "sha256:25ba277bf006b0b8d9b6296b164cc06add4b74d87923e9f999d6bb8e708f4f3a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005049", "prompt": "Calculate: 8445 - (-8043)", "solution_steps": ["Subtract: 8445 - (-8043) = 16488"], "final_answer": "16488", "answer_type": "integer", "kind": "expression", "math_text": "8445 - (-8043)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8445, \"b\": -8043}", "seed": "11107330891135398548", "semantic_fingerprint": "sha256:0921d01eae4935b2ee87a03e7dd33922ac4d3bd9142c1296814ccbd31baae200", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005050", "prompt": "Calculate: (-98839 - (-7645)) * (-9323)", "solution_steps": ["Subtract: -98839 - (-7645) = -91194", "Multiply: -91194 * (-9323) = 850201662"], "final_answer": "850201662", "answer_type": "integer", "kind": "expression", "math_text": "(-98839 - (-7645)) * (-9323)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -98839, \"b\": -7645, \"c\": -9323}", "seed": "7312766004434574628", "semantic_fingerprint": "sha256:0e1c36f882a477965d2352dc046847872b4583860ddc0e2f749c275119b60f61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005051", "prompt": "Evaluate: 1672 / 4840 + (-12416) * (5815 - (-81357))", "solution_steps": ["Divide: 1672 / 4840 = 19/55", "Subtract: 5815 - (-81357) = 87172", "Multiply: -12416 * 87172 = -1082327552", "Add: 19/55 + (-1082327552) = -59528015341/55"], "final_answer": "-59528015341/55", "answer_type": "rational", "kind": "expression", "math_text": "1672 / 4840 + (-12416) * (5815 - (-81357))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1672, \"b\": 4840, \"c\": -12416, \"d\": 5815, \"e\": -81357}", "seed": "5891300772503063135", "semantic_fingerprint": "sha256:987f5a5d2bb39de7183561d13fde22e445efae3e088099df065d5bab598f0879", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005052", "prompt": "Evaluate: (4078 + 3451) * ((12374 + (-6326)) * 20951)", "solution_steps": ["Add: 4078 + 3451 = 7529", "Add: 12374 + (-6326) = 6048", "Multiply: 6048 * 20951 = 126711648", "Multiply: 7529 * 126711648 = 954011997792"], "final_answer": "954011997792", "answer_type": "integer", "kind": "expression", "math_text": "(4078 + 3451) * ((12374 + (-6326)) * 20951)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4078, \"b\": 3451, \"c\": 12374, \"d\": -6326, \"e\": 20951}", "seed": "9402653473344870058", "semantic_fingerprint": "sha256:870ea4e8eddaee3120c48f7c36820408a6b79b1fc21672a0e33c3aacdcba781b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005053", "prompt": "Compute: 41235 - 3981", "solution_steps": ["Subtract: 41235 - 3981 = 37254"], "final_answer": "37254", "answer_type": "integer", "kind": "expression", "math_text": "41235 - 3981", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 41235, \"b\": 3981}", "seed": "14240387410066575839", "semantic_fingerprint": "sha256:c85473269ce4a5d70bc2a31b766c261e37e07c0f0e9e934a8741377936c89bbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005054", "prompt": "What is 1887 + (-5826)?", "solution_steps": ["Add: 1887 + (-5826) = -3939"], "final_answer": "-3939", "answer_type": "integer", "kind": "expression", "math_text": "1887 + (-5826)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1887, \"b\": -5826}", "seed": "13759689686133512250", "semantic_fingerprint": "sha256:d714e82083490231a83340339dda9f915df949b48e79c4d77ad723b4af6e161d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005055", "prompt": "Calculate: 79979 + (44449 + 17682)", "solution_steps": ["Add: 44449 + 17682 = 62131", "Add: 79979 + 62131 = 142110"], "final_answer": "142110", "answer_type": "integer", "kind": "expression", "math_text": "79979 + (44449 + 17682)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79979, \"b\": 44449, \"c\": 17682}", "seed": "2782303783078403531", "semantic_fingerprint": "sha256:5b6eb51e3ddc066e9bc15fdfd8876cb69ddfa444c8c27056943056671227fcd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005056", "prompt": "What value of x satisfies -34x + 2221 = x - 1314?", "solution_steps": ["Subtract x from both sides: -35x + 2221 = -1314", "Subtract 2221 from both sides: -35x = -3535", "Divide both sides by -35: x = 101"], "final_answer": "101", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x + 2221 = x - 1314", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 2221, \"d\": -1314, \"x\": 101}", "seed": "15505821737000288519", "semantic_fingerprint": "sha256:7fd501bc6d7538f161e13396c697676c27b20c00c0af78d76eaf3a7d7de3fc3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005057", "prompt": "Solve for x: -40(x + 36155) = 40(x - 9836)", "solution_steps": ["Expand: -40x - 1446200 = 40(x - 9836)", "Expand: -40x - 1446200 = 40x - 393440", "Subtract 40x from both sides: -80x - 1446200 = -393440", "Add 1446200 to both sides: -80x = 1052760", "Divide both sides by -80: x = -26319/2"], "final_answer": "-26319/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 36155) = 40(x - 9836)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 36155, \"c\": 40, \"d\": 9836}", "seed": "17595711259765178336", "semantic_fingerprint": "sha256:a45a9b07630260f6faa54ca6e8ac45c8db94e95425fc1bc514d74d1b9bf107d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005058", "prompt": "Solve the equation 32(x - 9107) = -27(x - 47417) for x.", "solution_steps": ["Expand: 32x - 291424 = -27(x - 47417)", "Expand: 32x - 291424 = -27x + 1280259", "Add 27x to both sides: 59x - 291424 = 1280259", "Add 291424 to both sides: 59x = 1571683", "Divide both sides by 59: x = 1571683/59"], "final_answer": "1571683/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 9107) = -27(x - 47417)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 9107, \"c\": -27, \"d\": 47417}", "seed": "2004022200244754388", "semantic_fingerprint": "sha256:aea9340c6b1b2534f41cd8aa8dc70fa2cbb3f2a2642be021f26f84bb4499c052", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005059", "prompt": "Evaluate: -6500 * 9508", "solution_steps": ["Multiply: -6500 * 9508 = -61802000"], "final_answer": "-61802000", "answer_type": "integer", "kind": "expression", "math_text": "-6500 * 9508", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6500, \"b\": 9508}", "seed": "2363413833869449793", "semantic_fingerprint": "sha256:762304fb97bb127c603dacc9ad3e71532d1e947b25404626472e250464ab2029", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005060", "prompt": "Solve for x: -21x - 5553 = x - 23988", "solution_steps": ["Subtract x from both sides: -22x - 5553 = -23988", "Add 5553 to both sides: -22x = -18435", "Divide both sides by -22: x = 18435/22"], "final_answer": "18435/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21x - 5553 = x - 23988", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 5553, \"c\": 23988}", "seed": "11087298305534295704", "semantic_fingerprint": "sha256:7428c2da820dc96eb728160b3fcb1f87dc4ae22e74aa49f6895fb03ad9e8c0af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005061", "prompt": "Compute: -6110 / 3310", "solution_steps": ["Divide: -6110 / 3310 = -611/331"], "final_answer": "-611/331", "answer_type": "rational", "kind": "expression", "math_text": "-6110 / 3310", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6110, \"b\": 3310}", "seed": "4636333328688957391", "semantic_fingerprint": "sha256:e1ed79f4da503a511321be63beeaea25b8ee1dede7eb14a1e242d1e1dc393530", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005062", "prompt": "Calculate: -3229 / (-3348 + (-6609)) + (-2713)", "solution_steps": ["Add: -3348 + (-6609) = -9957", "Divide: -3229 / (-9957) = 3229/9957", "Add: 3229/9957 + (-2713) = -27010112/9957"], "final_answer": "-27010112/9957", "answer_type": "rational", "kind": "expression", "math_text": "-3229 / (-3348 + (-6609)) + (-2713)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3229, \"b\": -3348, \"c\": -6609, \"d\": -2713}", "seed": "15084350187879355686", "semantic_fingerprint": "sha256:a7185410bed10617f57770cf147bc2fdf1aabe4188bf7357765b592297e8be2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005063", "prompt": "What value of x satisfies x + 93420 = -3314?", "solution_steps": ["Subtract 93420 from both sides: x = -96734"], "final_answer": "-96734", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 93420 = -3314", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93420, \"b\": -3314}", "seed": "15007496919109622812", "semantic_fingerprint": "sha256:6d586d4fda97b670d189ee357af170186f6f68c2601de808b57e7e75a6125eb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005064", "prompt": "Evaluate: -22781 - (48020 + 8519)", "solution_steps": ["Add: 48020 + 8519 = 56539", "Subtract: -22781 - 56539 = -79320"], "final_answer": "-79320", "answer_type": "integer", "kind": "expression", "math_text": "-22781 - (48020 + 8519)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22781, \"b\": 48020, \"c\": 8519}", "seed": "16256611622271711749", "semantic_fingerprint": "sha256:a0b636a0fe521dcd70e058908f1dd4894b68b69c8744f257a5372812923ddc77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005065", "prompt": "Solve for x: 17(x - 3598) + 5788 = -26x - 5086", "solution_steps": ["Expand: 17x - 61166 + 5788 = -26x - 5086", "Combine constants: 17x - 55378 = -26x - 5086", "Add 26x to both sides: 43x - 55378 = -5086", "Add 55378 to both sides: 43x = 50292", "Divide both sides by 43: x = 50292/43"], "final_answer": "50292/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x - 3598) + 5788 = -26x - 5086", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 3598, \"c\": 5788, \"d\": -26, \"e\": 5086}", "seed": "16741991156329582297", "semantic_fingerprint": "sha256:800c0bb17ef096248895caaa4ea9b391cda85e1b772340840209260da899475f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005066", "prompt": "Compute: 7750 - (-9759)", "solution_steps": ["Subtract: 7750 - (-9759) = 17509"], "final_answer": "17509", "answer_type": "integer", "kind": "expression", "math_text": "7750 - (-9759)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7750, \"b\": -9759}", "seed": "7338954519132552034", "semantic_fingerprint": "sha256:85839889804713aae2967501f871cf5a5f7f71efe26bf108641ebdcd3768a660", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005067", "prompt": "What is -4908 / (4447 + 6236 + 30721)?", "solution_steps": ["Add: 4447 + 6236 = 10683", "Add: 10683 + 30721 = 41404", "Divide: -4908 / 41404 = -1227/10351"], "final_answer": "-1227/10351", "answer_type": "rational", "kind": "expression", "math_text": "-4908 / (4447 + 6236 + 30721)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4908, \"b\": 4447, \"c\": 6236, \"d\": 30721}", "seed": "13546268516334735163", "semantic_fingerprint": "sha256:69f433dfd6fe94d8ae84d734c8b65bd95877836a04a10c7e2fab1792e7ad4627", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005068", "prompt": "Solve for x: x + 4600 = -36(x + 1092) + 92909", "solution_steps": ["Expand: x + 4600 = -36x - 39312 + 92909", "Combine constants: x + 4600 = -36x + 53597", "Add 36x to both sides: 37x + 4600 = 53597", "Subtract 4600 from both sides: 37x = 48997", "Divide both sides by 37: x = 48997/37"], "final_answer": "48997/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4600 = -36(x + 1092) + 92909", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4600, \"b\": -36, \"c\": 1092, \"d\": 92909}", "seed": "10848693148124285498", "semantic_fingerprint": "sha256:653a025a98e76918929eed46fd941213243cb24d37dd15fc265dbefa4ef26fbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005069", "prompt": "Solve the equation 28(x - 3863) + 9335 = -26x - 96885 for x.", "solution_steps": ["Expand: 28x - 108164 + 9335 = -26x - 96885", "Combine constants: 28x - 98829 = -26x - 96885", "Add 26x to both sides: 54x - 98829 = -96885", "Add 98829 to both sides: 54x = 1944", "Divide both sides by 54: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x - 3863) + 9335 = -26x - 96885", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 3863, \"c\": 9335, \"d\": -26, \"f\": -96885, \"x\": 36}", "seed": "18386323811979469615", "semantic_fingerprint": "sha256:1ba2c698c695e0998f976db550280c9feee6ff7a5f66521685ab5a94846f16a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005070", "prompt": "Compute: -5844 - 5525 - (-82099)", "solution_steps": ["Subtract: -5844 - 5525 = -11369", "Subtract: -11369 - (-82099) = 70730"], "final_answer": "70730", "answer_type": "integer", "kind": "expression", "math_text": "-5844 - 5525 - (-82099)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5844, \"b\": 5525, \"c\": -82099}", "seed": "16837842103370692795", "semantic_fingerprint": "sha256:893b6b107a8994126e20601e9ab3c07d8a0a48597822b44afe86de9345047134", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005071", "prompt": "What is 2564 / 5085?", "solution_steps": ["Divide: 2564 / 5085 = 2564/5085"], "final_answer": "2564/5085", "answer_type": "rational", "kind": "expression", "math_text": "2564 / 5085", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2564, \"b\": 5085}", "seed": "14101351679907552601", "semantic_fingerprint": "sha256:46a6c32659ba5bd1bfc9ef9ab4ca5a8d8eea282a89317956a807b6d472824026", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005072", "prompt": "Compute: (-23400 + (-1229)) * (-36564) + 16907", "solution_steps": ["Add: -23400 + (-1229) = -24629", "Multiply: -24629 * (-36564) = 900534756", "Add: 900534756 + 16907 = 900551663"], "final_answer": "900551663", "answer_type": "integer", "kind": "expression", "math_text": "(-23400 + (-1229)) * (-36564) + 16907", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23400, \"b\": -1229, \"c\": -36564, \"d\": 16907}", "seed": "13737197861796426259", "semantic_fingerprint": "sha256:7cd7bd34f0717cdec688a165ca2ad1c707f9889973df98bf373ed9f4394ab20a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005073", "prompt": "Solve the equation -17x + 9275 = x for x.", "solution_steps": ["Subtract x from both sides: -18x + 9275 = 0", "Subtract 9275 from both sides: -18x = -9275", "Divide both sides by -18: x = 9275/18"], "final_answer": "9275/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x + 9275 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 9275}", "seed": "13193790965264875757", "semantic_fingerprint": "sha256:5cc940b55ff0c579731d1cd7fd8b9d30028292c42a8fd2108b0dc9c70ac43ee9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005074", "prompt": "What is 73881 + (-6275)?", "solution_steps": ["Add: 73881 + (-6275) = 67606"], "final_answer": "67606", "answer_type": "integer", "kind": "expression", "math_text": "73881 + (-6275)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 73881, \"b\": -6275}", "seed": "2655512071028496742", "semantic_fingerprint": "sha256:5a0680ebece5ba26a4652c58bae1bcb2e0775e5ed1f4b4cb5bd57d8454bc8af8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005075", "prompt": "What value of x satisfies x - 7618 = 32x + 8742?", "solution_steps": ["Subtract 32x from both sides: -31x - 7618 = 8742", "Add 7618 to both sides: -31x = 16360", "Divide both sides by -31: x = -16360/31"], "final_answer": "-16360/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7618 = 32x + 8742", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7618, \"b\": 32, \"c\": 8742}", "seed": "6371891970060724732", "semantic_fingerprint": "sha256:d572893b68744f0fda8134b443c545fdb6dfd714792065165f8ed2620a793638", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005076", "prompt": "Evaluate: 21432 - (3079 - 9307)", "solution_steps": ["Subtract: 3079 - 9307 = -6228", "Subtract: 21432 - (-6228) = 27660"], "final_answer": "27660", "answer_type": "integer", "kind": "expression", "math_text": "21432 - (3079 - 9307)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21432, \"b\": 3079, \"c\": 9307}", "seed": "8250511061425818185", "semantic_fingerprint": "sha256:0f218bf7380b6b395a95e4533d834393cc2667e4e04009f00bab03add49d4ce5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005077", "prompt": "What value of x satisfies x = 21x - 18368?", "solution_steps": ["Subtract 21x from both sides: -20x = -18368", "Divide both sides by -20: x = 4592/5"], "final_answer": "4592/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 21x - 18368", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 18368}", "seed": "707531129471984549", "semantic_fingerprint": "sha256:67ed274c1a449d31236b4ce231cb3f95bd4031581f62b79afacd0c10206538ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005078", "prompt": "Solve for x: 17(x - 5172) = 15(x - 4092) - 26268", "solution_steps": ["Expand: 17x - 87924 = 15(x - 4092) - 26268", "Expand: 17x - 87924 = 15x - 61380 - 26268", "Combine constants: 17x - 87924 = 15x - 87648", "Subtract 15x from both sides: 2x - 87924 = -87648", "Add 87924 to both sides: 2x = 276", "Divide both sides by 2: x = 138"], "final_answer": "138", "answer_type": "integer", "kind": "linear_equation", "math_text": "17(x - 5172) = 15(x - 4092) - 26268", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 5172, \"c\": 15, \"d\": 4092, \"f\": -26268, \"x\": 138}", "seed": "14401163799870747133", "semantic_fingerprint": "sha256:3840c858271e921e5948bc74d7043377cf2688d1f60bd04fa8dc30de0e014605", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005079", "prompt": "Evaluate: -5952 - 4700 - (-8484)", "solution_steps": ["Subtract: -5952 - 4700 = -10652", "Subtract: -10652 - (-8484) = -2168"], "final_answer": "-2168", "answer_type": "integer", "kind": "expression", "math_text": "-5952 - 4700 - (-8484)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5952, \"b\": 4700, \"c\": -8484}", "seed": "9421438761687243032", "semantic_fingerprint": "sha256:b6a2dd0f5c23f5a42537a66de04df2c498b2dc4ddc5719ea3209380235fc80e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005080", "prompt": "Evaluate: 5113 - (-4011)", "solution_steps": ["Subtract: 5113 - (-4011) = 9124"], "final_answer": "9124", "answer_type": "integer", "kind": "expression", "math_text": "5113 - (-4011)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5113, \"b\": -4011}", "seed": "2272277875874836180", "semantic_fingerprint": "sha256:0fd3d618cb709e3e6a5e6c4d51edadbd1071607f9ee3b461c4ae35f68dd49fe6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005081", "prompt": "What is 60952 + 69833?", "solution_steps": ["Add: 60952 + 69833 = 130785"], "final_answer": "130785", "answer_type": "integer", "kind": "expression", "math_text": "60952 + 69833", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 60952, \"b\": 69833}", "seed": "13400134365472063895", "semantic_fingerprint": "sha256:6da82b44718d7785a62736966ea06c88bccaf5d0c071a6b69ff62e5dc44e7c1b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005082", "prompt": "What is 9521 * 95737 + (-66548)?", "solution_steps": ["Multiply: 9521 * 95737 = 911511977", "Add: 911511977 + (-66548) = 911445429"], "final_answer": "911445429", "answer_type": "integer", "kind": "expression", "math_text": "9521 * 95737 + (-66548)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9521, \"b\": 95737, \"c\": -66548}", "seed": "2982484854022612993", "semantic_fingerprint": "sha256:d0e38f2dfdbc328dd84c5b65dca28ccb4b6b2271bce8a92ecd82445fd6bf88f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005083", "prompt": "Compute: -5893 / 3872", "solution_steps": ["Divide: -5893 / 3872 = -5893/3872"], "final_answer": "-5893/3872", "answer_type": "rational", "kind": "expression", "math_text": "-5893 / 3872", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5893, \"b\": 3872}", "seed": "12831075776581329713", "semantic_fingerprint": "sha256:2ab0cf3828a42be0a802736506c4a35a27c417bf0c7aa7e052c353153ac67d7c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005084", "prompt": "Calculate: (-1063 + (-4933)) * (-6222)", "solution_steps": ["Add: -1063 + (-4933) = -5996", "Multiply: -5996 * (-6222) = 37307112"], "final_answer": "37307112", "answer_type": "integer", "kind": "expression", "math_text": "(-1063 + (-4933)) * (-6222)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1063, \"b\": -4933, \"c\": -6222}", "seed": "3318405656684143653", "semantic_fingerprint": "sha256:f849af2b6077cacc5025efd4756d1704cff41ebb41faa7bc6cafdf73dd19a3fd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005085", "prompt": "What is -9683 + 62491 - (-7652)?", "solution_steps": ["Add: -9683 + 62491 = 52808", "Subtract: 52808 - (-7652) = 60460"], "final_answer": "60460", "answer_type": "integer", "kind": "expression", "math_text": "-9683 + 62491 - (-7652)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9683, \"b\": 62491, \"c\": -7652}", "seed": "326472659543684951", "semantic_fingerprint": "sha256:9d6824dfa1f19ea4a72dccb35ff7439aa0406d132431709796d85772ab434312", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005086", "prompt": "Calculate: -4228 * (-99061) + (-3871)", "solution_steps": ["Multiply: -4228 * (-99061) = 418829908", "Add: 418829908 + (-3871) = 418826037"], "final_answer": "418826037", "answer_type": "integer", "kind": "expression", "math_text": "-4228 * (-99061) + (-3871)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4228, \"b\": -99061, \"c\": -3871}", "seed": "11545452715526518724", "semantic_fingerprint": "sha256:987e168259d5fee04ddd44367f158b870409e252d8fdbdd54e34a5499bcbda0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005087", "prompt": "Evaluate: 4140 * 49888 + (-5781) - (-8964)", "solution_steps": ["Multiply: 4140 * 49888 = 206536320", "Add: 206536320 + (-5781) = 206530539", "Subtract: 206530539 - (-8964) = 206539503"], "final_answer": "206539503", "answer_type": "integer", "kind": "expression", "math_text": "4140 * 49888 + (-5781) - (-8964)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4140, \"b\": 49888, \"c\": -5781, \"d\": -8964}", "seed": "10042748807318015153", "semantic_fingerprint": "sha256:4428cb621ebd87c49784ae5088d850945d8547f29838bffb3f34e45ed14e4728", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005088", "prompt": "What is (61929 - 9970 / 1908) * (-6572)?", "solution_steps": ["Divide: 9970 / 1908 = 4985/954", "Subtract: 61929 - 4985/954 = 59075281/954", "Multiply: (59075281/954) * (-6572) = -3662667422/9"], "final_answer": "-3662667422/9", "answer_type": "rational", "kind": "expression", "math_text": "(61929 - 9970 / 1908) * (-6572)", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61929, \"b\": 9970, \"c\": 1908, \"d\": -6572}", "seed": "2606073645210885920", "semantic_fingerprint": "sha256:55dec03c7f1f989be1be4399d6f982d2eede37e6ea4f14c0ce12cc99d6cb32e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005089", "prompt": "Compute: -6965 * (-35615)", "solution_steps": ["Multiply: -6965 * (-35615) = 248058475"], "final_answer": "248058475", "answer_type": "integer", "kind": "expression", "math_text": "-6965 * (-35615)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6965, \"b\": -35615}", "seed": "7049654925188975303", "semantic_fingerprint": "sha256:e21f6fd06a80712d5d856274b71021bc8e99088f77d830ccc4dffb3310366402", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005090", "prompt": "Calculate: (-58150 - 97986) * 61208 + 48991", "solution_steps": ["Subtract: -58150 - 97986 = -156136", "Multiply: -156136 * 61208 = -9556772288", "Add: -9556772288 + 48991 = -9556723297"], "final_answer": "-9556723297", "answer_type": "integer", "kind": "expression", "math_text": "(-58150 - 97986) * 61208 + 48991", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -58150, \"b\": 97986, \"c\": 61208, \"d\": 48991}", "seed": "2110057030176293085", "semantic_fingerprint": "sha256:1ca63ab7cfee216d40529d6a4ca89b6c3979476afa2bf515dff2dfa3b3d13666", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005091", "prompt": "Compute: (-86227 + (-29999)) / (-1110)", "solution_steps": ["Add: -86227 + (-29999) = -116226", "Divide: -116226 / (-1110) = 19371/185"], "final_answer": "19371/185", "answer_type": "rational", "kind": "expression", "math_text": "(-86227 + (-29999)) / (-1110)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86227, \"b\": -29999, \"c\": -1110}", "seed": "7568889104197137134", "semantic_fingerprint": "sha256:b8e602b179794693986bdf030a410ff58250af59d43e206c3b7f67b1d74cd15e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005092", "prompt": "What is (-1894 + 72263) * 8051 / 34015?", "solution_steps": ["Add: -1894 + 72263 = 70369", "Multiply: 70369 * 8051 = 566540819", "Divide: 566540819 / 34015 = 566540819/34015"], "final_answer": "566540819/34015", "answer_type": "rational", "kind": "expression", "math_text": "(-1894 + 72263) * 8051 / 34015", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1894, \"b\": 72263, \"c\": 8051, \"d\": 34015}", "seed": "14237981486797365669", "semantic_fingerprint": "sha256:d2b26f760dcbfbc7cf0c3f8d3e7bf16a03f37f0927a360454bb93556d4d26184", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005093", "prompt": "What value of x satisfies -29(x + 5023) = 23(x - 29946)?", "solution_steps": ["Expand: -29x - 145667 = 23(x - 29946)", "Expand: -29x - 145667 = 23x - 688758", "Subtract 23x from both sides: -52x - 145667 = -688758", "Add 145667 to both sides: -52x = -543091", "Divide both sides by -52: x = 543091/52"], "final_answer": "543091/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x + 5023) = 23(x - 29946)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 5023, \"c\": 23, \"d\": 29946}", "seed": "6912496261809939629", "semantic_fingerprint": "sha256:abf4d54a4ba349532b77a8a84862dcd36595f65792718e36facf7f2fe269e3d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005094", "prompt": "Find x: 21(x + 93186) = 20(x - 8561)", "solution_steps": ["Expand: 21x + 1956906 = 20(x - 8561)", "Expand: 21x + 1956906 = 20x - 171220", "Subtract 20x from both sides: x + 1956906 = -171220", "Subtract 1956906 from both sides: x = -2128126"], "final_answer": "-2128126", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 93186) = 20(x - 8561)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 93186, \"c\": 20, \"d\": 8561}", "seed": "10913309653552568937", "semantic_fingerprint": "sha256:bb60433c63cfd2c6744e4e6537f26f52e91da2627e449022d3685479b2d315fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005095", "prompt": "What is 6593 + (-3202)?", "solution_steps": ["Add: 6593 + (-3202) = 3391"], "final_answer": "3391", "answer_type": "integer", "kind": "expression", "math_text": "6593 + (-3202)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6593, \"b\": -3202}", "seed": "8965249465658011601", "semantic_fingerprint": "sha256:32608ea74c935df94a725e46356b61fa04e3be9680b6c46cfaa28fa2d586fe57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005096", "prompt": "Calculate: -4628 / (39984 + (-8124)) * 1412", "solution_steps": ["Add: 39984 + (-8124) = 31860", "Divide: -4628 / 31860 = -1157/7965", "Multiply: (-1157/7965) * 1412 = -1633684/7965"], "final_answer": "-1633684/7965", "answer_type": "rational", "kind": "expression", "math_text": "-4628 / (39984 + (-8124)) * 1412", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4628, \"b\": 39984, \"c\": -8124, \"d\": 1412}", "seed": "9899085601757569420", "semantic_fingerprint": "sha256:6300a59ded9a7ead289ca114f0ba7a82473d0129f08a5866d62e31d8c6c83a3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005097", "prompt": "Calculate: 48253 * 5194", "solution_steps": ["Multiply: 48253 * 5194 = 250626082"], "final_answer": "250626082", "answer_type": "integer", "kind": "expression", "math_text": "48253 * 5194", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 48253, \"b\": 5194}", "seed": "2020059606749266438", "semantic_fingerprint": "sha256:f7ffbe9f2b98325a58e29aa9dda81f169ede3049a84ab32bac51b5065bf8b901", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005098", "prompt": "Calculate: 9917 - (-15532) * 7481", "solution_steps": ["Multiply: -15532 * 7481 = -116194892", "Subtract: 9917 - (-116194892) = 116204809"], "final_answer": "116204809", "answer_type": "integer", "kind": "expression", "math_text": "9917 - (-15532) * 7481", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9917, \"b\": -15532, \"c\": 7481}", "seed": "6669253966624761390", "semantic_fingerprint": "sha256:69fd84d8d2b6368462822677077812dd488f6170209c7ddf119ef8f4a1f42a3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005099", "prompt": "Compute: 78481 * (96875 / (-12264))", "solution_steps": ["Divide: 96875 / (-12264) = -96875/12264", "Multiply: 78481 * (-96875/12264) = -7602846875/12264"], "final_answer": "-7602846875/12264", "answer_type": "rational", "kind": "expression", "math_text": "78481 * (96875 / (-12264))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 78481, \"b\": 96875, \"c\": -12264}", "seed": "9982871591114627952", "semantic_fingerprint": "sha256:c7c6dc04a4a27d028c14af5b633ce6340864e28998e06a6254feb1407bb9054d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005100", "prompt": "Find x: x = 33x + 3360", "solution_steps": ["Subtract 33x from both sides: -32x = 3360", "Divide both sides by -32: x = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 33x + 3360", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 3360, \"x\": -105}", "seed": "1342431047934873813", "semantic_fingerprint": "sha256:b27139b389b7219bea6271803a373666080c10ed3be469202fca128543955a05", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005101", "prompt": "Calculate: -1361 + (-5404) - 6342", "solution_steps": ["Add: -1361 + (-5404) = -6765", "Subtract: -6765 - 6342 = -13107"], "final_answer": "-13107", "answer_type": "integer", "kind": "expression", "math_text": "-1361 + (-5404) - 6342", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1361, \"b\": -5404, \"c\": 6342}", "seed": "15470665981621741249", "semantic_fingerprint": "sha256:2759cb1844c1afef0ee6ac1ad75267aed8ab5c21132bc23246ff457132edc0c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005102", "prompt": "Find x: 20(x + 32703) + 1757 = -38(x - 17541) - 12191", "solution_steps": ["Expand: 20x + 654060 + 1757 = -38(x - 17541) - 12191", "Expand: 20x + 654060 + 1757 = -38x + 666558 - 12191", "Combine constants: 20x + 655817 = -38x + 666558 - 12191", "Combine constants: 20x + 655817 = -38x + 654367", "Add 38x to both sides: 58x + 655817 = 654367", "Subtract 655817 from both sides: 58x = -1450", "Divide both sides by 58: x = -25"], "final_answer": "-25", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 32703) + 1757 = -38(x - 17541) - 12191", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 32703, \"c\": 1757, \"d\": -38, \"e\": 17541, \"g\": -12191, \"x\": -25}", "seed": "14950191632695533791", "semantic_fingerprint": "sha256:e6f89ddd174b93e0fc7ec808a82a58aea4dfe2ef13174f720d42c938145c1bcc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005103", "prompt": "What is -6264 + 6654 + 44592?", "solution_steps": ["Add: -6264 + 6654 = 390", "Add: 390 + 44592 = 44982"], "final_answer": "44982", "answer_type": "integer", "kind": "expression", "math_text": "-6264 + 6654 + 44592", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6264, \"b\": 6654, \"c\": 44592}", "seed": "14542014866551719050", "semantic_fingerprint": "sha256:18d35790af9c2ca11266d98d1e86455abaf2456007240a31da48dd615bbc7d85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005104", "prompt": "Evaluate: -10536 - (-2381) * 5415", "solution_steps": ["Multiply: -2381 * 5415 = -12893115", "Subtract: -10536 - (-12893115) = 12882579"], "final_answer": "12882579", "answer_type": "integer", "kind": "expression", "math_text": "-10536 - (-2381) * 5415", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -10536, \"b\": -2381, \"c\": 5415}", "seed": "9444649570956449631", "semantic_fingerprint": "sha256:513928f213d7318ba9e05f54a50f89dd88c51ae883a4d1f43563b1d85fe91c52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005105", "prompt": "Evaluate: 4937 / 80164", "solution_steps": ["Divide: 4937 / 80164 = 4937/80164"], "final_answer": "4937/80164", "answer_type": "rational", "kind": "expression", "math_text": "4937 / 80164", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4937, \"b\": 80164}", "seed": "9267891410153597119", "semantic_fingerprint": "sha256:ac7fe8a957ca78bbef8e1ae48c3e11e5b0f373128b75a2c0d38ddc681067d2f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005106", "prompt": "What is (-13656 - (-1842)) / (-37412)?", "solution_steps": ["Subtract: -13656 - (-1842) = -11814", "Divide: -11814 / (-37412) = 5907/18706"], "final_answer": "5907/18706", "answer_type": "rational", "kind": "expression", "math_text": "(-13656 - (-1842)) / (-37412)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -13656, \"b\": -1842, \"c\": -37412}", "seed": "12172977864670550219", "semantic_fingerprint": "sha256:b61b66b1fd2a6725da9ec25c9db94244d263f654935703738092424f72482e93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005107", "prompt": "Compute: -27486 * (-60291 / (-2332))", "solution_steps": ["Divide: -60291 / (-2332) = 5481/212", "Multiply: -27486 * (5481/212) = -75325383/106"], "final_answer": "-75325383/106", "answer_type": "rational", "kind": "expression", "math_text": "-27486 * (-60291 / (-2332))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -27486, \"b\": -60291, \"c\": -2332}", "seed": "4750378076497369722", "semantic_fingerprint": "sha256:cc352d3beb8e82901262a7b8d830ad55fc32028e20a65eeaa11ece8d50b043cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005108", "prompt": "Compute: 88266 + (-96184) - 1346 * 7614", "solution_steps": ["Add: 88266 + (-96184) = -7918", "Multiply: 1346 * 7614 = 10248444", "Subtract: -7918 - 10248444 = -10256362"], "final_answer": "-10256362", "answer_type": "integer", "kind": "expression", "math_text": "88266 + (-96184) - 1346 * 7614", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 88266, \"b\": -96184, \"c\": 1346, \"d\": 7614}", "seed": "17896237348186960587", "semantic_fingerprint": "sha256:794c4955c2d9952b5e4230d53dd365c875b7abb5f86959d254ac0524e2375766", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005109", "prompt": "Evaluate: -9439 - (-6782 + 27733)", "solution_steps": ["Add: -6782 + 27733 = 20951", "Subtract: -9439 - 20951 = -30390"], "final_answer": "-30390", "answer_type": "integer", "kind": "expression", "math_text": "-9439 - (-6782 + 27733)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9439, \"b\": -6782, \"c\": 27733}", "seed": "2486292838510734582", "semantic_fingerprint": "sha256:a425d699d8c8669601c1d310d87fd1baa2cf5626a7a1fc4c113f2023751e57b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005110", "prompt": "What is 28885 - 14773?", "solution_steps": ["Subtract: 28885 - 14773 = 14112"], "final_answer": "14112", "answer_type": "integer", "kind": "expression", "math_text": "28885 - 14773", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 28885, \"b\": 14773}", "seed": "15439134770226707558", "semantic_fingerprint": "sha256:2d941e5705f377e502a0ace19b7c97e3dc69bd038c5c2bda97ef757fd5423448", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005111", "prompt": "Compute: -4977 - 4412", "solution_steps": ["Subtract: -4977 - 4412 = -9389"], "final_answer": "-9389", "answer_type": "integer", "kind": "expression", "math_text": "-4977 - 4412", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4977, \"b\": 4412}", "seed": "3104263162982603663", "semantic_fingerprint": "sha256:2b3470e913d85fbd0539aedeefc71a5d7be222158e2e5e7237706d58d14f28f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005112", "prompt": "Solve for x: 29(x + 3768) = x", "solution_steps": ["Expand: 29x + 109272 = x", "Subtract x from both sides: 28x + 109272 = 0", "Subtract 109272 from both sides: 28x = -109272", "Divide both sides by 28: x = -27318/7"], "final_answer": "-27318/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 3768) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 3768}", "seed": "13346557459694771454", "semantic_fingerprint": "sha256:27f41889358a3ba0a0db69b66743fe93a8ad753a1a6f9fc1ad6bcaf70e40fa54", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005113", "prompt": "Solve the equation x + 28957 = 27x + 33741 for x.", "solution_steps": ["Subtract 27x from both sides: -26x + 28957 = 33741", "Subtract 28957 from both sides: -26x = 4784", "Divide both sides by -26: x = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 28957 = 27x + 33741", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28957, \"b\": 27, \"d\": 33741, \"x\": -184}", "seed": "2218980679075006752", "semantic_fingerprint": "sha256:ed0239cdb5c9a066896f1025a252478b58a7031c873b6bed4723ff34dd08f1a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005114", "prompt": "Solve the equation 29(x + 9664) + 5766 = x for x.", "solution_steps": ["Expand: 29x + 280256 + 5766 = x", "Combine constants: 29x + 286022 = x", "Subtract x from both sides: 28x + 286022 = 0", "Subtract 286022 from both sides: 28x = -286022", "Divide both sides by 28: x = -143011/14"], "final_answer": "-143011/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 9664) + 5766 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 9664, \"c\": 5766}", "seed": "8610995114432912320", "semantic_fingerprint": "sha256:5db3bfe5fc3087b37cc0a9c40d396323c75af7ed488b8dab45fb1066c5cf9cd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005115", "prompt": "Solve for x: 20x + 5959 = -36(x - 26805)", "solution_steps": ["Expand: 20x + 5959 = -36x + 964980", "Add 36x to both sides: 56x + 5959 = 964980", "Subtract 5959 from both sides: 56x = 959021", "Divide both sides by 56: x = 137003/8"], "final_answer": "137003/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x + 5959 = -36(x - 26805)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 5959, \"c\": -36, \"d\": 26805}", "seed": "8437766314925462251", "semantic_fingerprint": "sha256:cf7f54baff312c68374ab7b36276ffbdbda1f8e9bd7ecf940335e01373ea5753", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005116", "prompt": "Evaluate: 89767 * (-6474 + (6963 - (-3581)))", "solution_steps": ["Subtract: 6963 - (-3581) = 10544", "Add: -6474 + 10544 = 4070", "Multiply: 89767 * 4070 = 365351690"], "final_answer": "365351690", "answer_type": "integer", "kind": "expression", "math_text": "89767 * (-6474 + (6963 - (-3581)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 89767, \"b\": -6474, \"c\": 6963, \"d\": -3581}", "seed": "17085393149098582998", "semantic_fingerprint": "sha256:9937f41b6fb0d1bd2c2deba9e715012ad316731557dc1e937592970fda2261ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005117", "prompt": "Compute: -29992 - 3859 + (-25016 + (-2161))", "solution_steps": ["Subtract: -29992 - 3859 = -33851", "Add: -25016 + (-2161) = -27177", "Add: -33851 + (-27177) = -61028"], "final_answer": "-61028", "answer_type": "integer", "kind": "expression", "math_text": "-29992 - 3859 + (-25016 + (-2161))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29992, \"b\": 3859, \"c\": -25016, \"d\": -2161}", "seed": "17286349775988897219", "semantic_fingerprint": "sha256:a82da844d43b4587f5d00a0aef2111a55c42d6fb1e6b0ddf600034f1cf7eadff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005118", "prompt": "Find x: 38x + 72979 = 19(x + 3762)", "solution_steps": ["Expand: 38x + 72979 = 19x + 71478", "Subtract 19x from both sides: 19x + 72979 = 71478", "Subtract 72979 from both sides: 19x = -1501", "Divide both sides by 19: x = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 72979 = 19(x + 3762)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 19, \"c\": 3762, \"e\": 72979, \"x\": -79}", "seed": "231355865312230025", "semantic_fingerprint": "sha256:5627e26976cf557deda43e52f3bcbb6e2e5d29248ee94492c52c956b9a04da77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005119", "prompt": "What value of x satisfies 33x = x + 6272?", "solution_steps": ["Subtract x from both sides: 32x = 6272", "Divide both sides by 32: x = 196"], "final_answer": "196", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x = x + 6272", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 6272, \"x\": 196}", "seed": "6277419847181482233", "semantic_fingerprint": "sha256:c784827d197ac428897aee150dbbb8407f58ff691476dafabad8a287d3ab4fff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005120", "prompt": "Calculate: -8333 * 5800 * 2358", "solution_steps": ["Multiply: -8333 * 5800 = -48331400", "Multiply: -48331400 * 2358 = -113965441200"], "final_answer": "-113965441200", "answer_type": "integer", "kind": "expression", "math_text": "-8333 * 5800 * 2358", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8333, \"b\": 5800, \"c\": 2358}", "seed": "4414909010076852362", "semantic_fingerprint": "sha256:ca51423ede71e0e91ac99e012f2530f857bded129c55d251831f9e6d2a3ebed0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005121", "prompt": "What is -8881 - (-8574) - (7217 + (-61061))?", "solution_steps": ["Subtract: -8881 - (-8574) = -307", "Add: 7217 + (-61061) = -53844", "Subtract: -307 - (-53844) = 53537"], "final_answer": "53537", "answer_type": "integer", "kind": "expression", "math_text": "-8881 - (-8574) - (7217 + (-61061))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8881, \"b\": -8574, \"c\": 7217, \"d\": -61061}", "seed": "17561464871234077943", "semantic_fingerprint": "sha256:25c6569e35028f2049cdd5e02a99ed8f2816ff708eacaad09d44c1c5269063a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005122", "prompt": "Solve the equation 23x = x - 2486 for x.", "solution_steps": ["Subtract x from both sides: 22x = -2486", "Divide both sides by 22: x = -113"], "final_answer": "-113", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x = x - 2486", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"c\": -2486, \"x\": -113}", "seed": "15012961469879964238", "semantic_fingerprint": "sha256:dd2da14347a5ab222485a624cac40f2a60ab7b4cc35cf9c5ded516272e3d8882", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005123", "prompt": "Compute: -92893 * (-8915)", "solution_steps": ["Multiply: -92893 * (-8915) = 828141095"], "final_answer": "828141095", "answer_type": "integer", "kind": "expression", "math_text": "-92893 * (-8915)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -92893, \"b\": -8915}", "seed": "1165022362454270198", "semantic_fingerprint": "sha256:0d38c05e6df9a6ace21789518de0c826a3763b66ea15e38eb37dee4277d5140b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005124", "prompt": "What is 5555 * (-6948) - (18025 + 2638) * (-33218)?", "solution_steps": ["Multiply: 5555 * (-6948) = -38596140", "Add: 18025 + 2638 = 20663", "Multiply: 20663 * (-33218) = -686383534", "Subtract: -38596140 - (-686383534) = 647787394"], "final_answer": "647787394", "answer_type": "integer", "kind": "expression", "math_text": "5555 * (-6948) - (18025 + 2638) * (-33218)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5555, \"b\": -6948, \"c\": 18025, \"d\": 2638, \"e\": -33218}", "seed": "6666575453335804577", "semantic_fingerprint": "sha256:973240a36afe5609686a2e6b5ca8fd875e5092d30f9b99cf194c0ed48ec33271", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005125", "prompt": "Solve the equation x - 4387 = -22(x + 9637) for x.", "solution_steps": ["Expand: x - 4387 = -22x - 212014", "Add 22x to both sides: 23x - 4387 = -212014", "Add 4387 to both sides: 23x = -207627", "Divide both sides by 23: x = -207627/23"], "final_answer": "-207627/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4387 = -22(x + 9637)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4387, \"b\": -22, \"c\": 9637}", "seed": "9975329791978923183", "semantic_fingerprint": "sha256:987834f629c6668ba9c6c42ae4383abca9d9e4cbafd32b6b8f8f7e896190624a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005126", "prompt": "Solve the equation -15(x + 3185) = 25(x + 45211) for x.", "solution_steps": ["Expand: -15x - 47775 = 25(x + 45211)", "Expand: -15x - 47775 = 25x + 1130275", "Subtract 25x from both sides: -40x - 47775 = 1130275", "Add 47775 to both sides: -40x = 1178050", "Divide both sides by -40: x = -117805/4"], "final_answer": "-117805/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x + 3185) = 25(x + 45211)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 3185, \"c\": 25, \"d\": 45211}", "seed": "16465165601407817014", "semantic_fingerprint": "sha256:ee20c2ee7e2b9d1c3e596eb6ad6432e659b98b975788d392e845d963e3a78c3d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005127", "prompt": "Find x: x - 62455 = -62323", "solution_steps": ["Add 62455 to both sides: x = 132"], "final_answer": "132", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 62455 = -62323", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 62455, \"c\": -62323, \"x\": 132}", "seed": "1391716820415643310", "semantic_fingerprint": "sha256:ed1252a9417f9e3a5e7178f69b95e09725a3d54fe7baa35b17e8bdcf6a8d7f93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005128", "prompt": "Calculate: -5140 + 46270 + (-7471)", "solution_steps": ["Add: -5140 + 46270 = 41130", "Add: 41130 + (-7471) = 33659"], "final_answer": "33659", "answer_type": "integer", "kind": "expression", "math_text": "-5140 + 46270 + (-7471)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5140, \"b\": 46270, \"c\": -7471}", "seed": "17141390163275736599", "semantic_fingerprint": "sha256:1ae182302e328dcdecf4d5c10ccd3725135ea6fe89921f595a36eb3e365ba295", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005129", "prompt": "Evaluate: -47080 + 1239", "solution_steps": ["Add: -47080 + 1239 = -45841"], "final_answer": "-45841", "answer_type": "integer", "kind": "expression", "math_text": "-47080 + 1239", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -47080, \"b\": 1239}", "seed": "7257311914068527023", "semantic_fingerprint": "sha256:f79bb56bc8e4b77b0a6e9067141f5732ff345246eccaf853e21ee149b15e7419", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005130", "prompt": "What value of x satisfies -40x = 24x?", "solution_steps": ["Subtract 24x from both sides: -64x = 0", "Divide both sides by -64: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40x = 24x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 24}", "seed": "11820869691969434878", "semantic_fingerprint": "sha256:2ed5a756c0040079cb81c23855aa47ffa9cea5c903cf5ff8059dce221585dec2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005131", "prompt": "Evaluate: -1685 * (-61208) / 4163", "solution_steps": ["Multiply: -1685 * (-61208) = 103135480", "Divide: 103135480 / 4163 = 103135480/4163"], "final_answer": "103135480/4163", "answer_type": "rational", "kind": "expression", "math_text": "-1685 * (-61208) / 4163", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1685, \"b\": -61208, \"c\": 4163}", "seed": "6063625487412343398", "semantic_fingerprint": "sha256:4579869fffecd05a3f0da63ff8bf04d21b1a030e69a79b5f27d310f5883c9b09", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005132", "prompt": "Evaluate: (8888 - (-62636)) / (98682 + (2982 - (-6734)))", "solution_steps": ["Subtract: 8888 - (-62636) = 71524", "Subtract: 2982 - (-6734) = 9716", "Add: 98682 + 9716 = 108398", "Divide: 71524 / 108398 = 35762/54199"], "final_answer": "35762/54199", "answer_type": "rational", "kind": "expression", "math_text": "(8888 - (-62636)) / (98682 + (2982 - (-6734)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8888, \"b\": -62636, \"c\": 98682, \"d\": 2982, \"e\": -6734}", "seed": "15185369506430285060", "semantic_fingerprint": "sha256:6c711ec5c40277b1c8a602f3d451fd51562fe2d67ae5d3aaf61865cdc59912e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005133", "prompt": "Solve the equation x - 2493 = 15x - 3683 for x.", "solution_steps": ["Subtract 15x from both sides: -14x - 2493 = -3683", "Add 2493 to both sides: -14x = -1190", "Divide both sides by -14: x = 85"], "final_answer": "85", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2493 = 15x - 3683", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2493, \"b\": 15, \"d\": -3683, \"x\": 85}", "seed": "15036659757275679322", "semantic_fingerprint": "sha256:3eb0305973d1e0593cbaf7b8da1f84d3cd6d30ffd0bbbd2be1e496f70e6b01f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005134", "prompt": "What value of x satisfies -15(x - 37666) + 8250 = x + 7152?", "solution_steps": ["Expand: -15x + 564990 + 8250 = x + 7152", "Combine constants: -15x + 573240 = x + 7152", "Subtract x from both sides: -16x + 573240 = 7152", "Subtract 573240 from both sides: -16x = -566088", "Divide both sides by -16: x = 70761/2"], "final_answer": "70761/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x - 37666) + 8250 = x + 7152", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 37666, \"c\": 8250, \"d\": 7152}", "seed": "7445925555765795169", "semantic_fingerprint": "sha256:88a0bbfba20c3e1b96db0190539755c4954dd2e4c638905be9e9460efb1ee3ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005135", "prompt": "Evaluate: (7188 + (-4721) - 39889) / (-6414 / (-6048 - (-8091)))", "solution_steps": ["Add: 7188 + (-4721) = 2467", "Subtract: 2467 - 39889 = -37422", "Subtract: -6048 - (-8091) = 2043", "Divide: -6414 / 2043 = -2138/681", "Divide: -37422 / (-2138/681) = 12742191/1069"], "final_answer": "12742191/1069", "answer_type": "rational", "kind": "expression", "math_text": "(7188 + (-4721) - 39889) / (-6414 / (-6048 - (-8091)))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7188, \"b\": -4721, \"c\": 39889, \"d\": -6414, \"e\": -6048, \"f\": -8091}", "seed": "4482129435474657550", "semantic_fingerprint": "sha256:019e0ef58b1a6b79d4f0082a88ce704dc7cbaa1a47ec0192c1629b11ade82cf5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005136", "prompt": "Calculate: -3726 * (2702 * 1892 * (-24189) / (17130 * (-7216)))", "solution_steps": ["Multiply: 2702 * 1892 = 5112184", "Multiply: 5112184 * (-24189) = -123658618776", "Multiply: 17130 * (-7216) = -123610080", "Divide: -123658618776 / (-123610080) = 468403859/468220", "Multiply: -3726 * (468403859/468220) = -872636389317/234110"], "final_answer": "-872636389317/234110", "answer_type": "rational", "kind": "expression", "math_text": "-3726 * (2702 * 1892 * (-24189) / (17130 * (-7216)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (* (* n n) n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -3726, \"b\": 2702, \"c\": 1892, \"d\": -24189, \"e\": 17130, \"f\": -7216}", "seed": "17512720839849589730", "semantic_fingerprint": "sha256:de3e71f69cea8b2c046019c939c931f2eefc0e981782e4ea808287eca19be22e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005137", "prompt": "Compute: 36960 + (-7510) / (-1464)", "solution_steps": ["Divide: -7510 / (-1464) = 3755/732", "Add: 36960 + 3755/732 = 27058475/732"], "final_answer": "27058475/732", "answer_type": "rational", "kind": "expression", "math_text": "36960 + (-7510) / (-1464)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36960, \"b\": -7510, \"c\": -1464}", "seed": "9545414611794622135", "semantic_fingerprint": "sha256:6edd42e71e389fa6a797936fc66bfc6580895eb72985187456d38e1dabed3cd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005138", "prompt": "What is -7991 + (-1329) - (-2824) - (-53098) - 5031?", "solution_steps": ["Add: -7991 + (-1329) = -9320", "Subtract: -9320 - (-2824) = -6496", "Subtract: -6496 - (-53098) = 46602", "Subtract: 46602 - 5031 = 41571"], "final_answer": "41571", "answer_type": "integer", "kind": "expression", "math_text": "-7991 + (-1329) - (-2824) - (-53098) - 5031", "variable": null, "family": "expression_4op", "shape": "(- (- (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7991, \"b\": -1329, \"c\": -2824, \"d\": -53098, \"e\": 5031}", "seed": "6235028354597495182", "semantic_fingerprint": "sha256:d6f268f4fbdd89f604d2a94025f41637d1000a6e2de2862fde7d9d1349c8eec9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005139", "prompt": "Calculate: -7903 * (-7956 - 57961)", "solution_steps": ["Subtract: -7956 - 57961 = -65917", "Multiply: -7903 * (-65917) = 520942051"], "final_answer": "520942051", "answer_type": "integer", "kind": "expression", "math_text": "-7903 * (-7956 - 57961)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7903, \"b\": -7956, \"c\": 57961}", "seed": "16209212738414910988", "semantic_fingerprint": "sha256:cce5602405af0ebe0853099402b00e9a7e51fcb8eafe73a24aef0da031edf38c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005140", "prompt": "What is -5402 * (-53517)?", "solution_steps": ["Multiply: -5402 * (-53517) = 289098834"], "final_answer": "289098834", "answer_type": "integer", "kind": "expression", "math_text": "-5402 * (-53517)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5402, \"b\": -53517}", "seed": "3238438685545544889", "semantic_fingerprint": "sha256:8ccbe0e5a6530b64e53b355ea309ff589d4697c674e95a79bdc04d708917c633", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005141", "prompt": "Evaluate: 92493 + 7030 / 7098", "solution_steps": ["Divide: 7030 / 7098 = 3515/3549", "Add: 92493 + 3515/3549 = 328261172/3549"], "final_answer": "328261172/3549", "answer_type": "rational", "kind": "expression", "math_text": "92493 + 7030 / 7098", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 92493, \"b\": 7030, \"c\": 7098}", "seed": "7974483400493136730", "semantic_fingerprint": "sha256:cb22515630d43b6e4a20be85946d2bf3795186827f913307058ef800bb457223", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005142", "prompt": "Find x: 29(x - 1699) - 1778 = 28x", "solution_steps": ["Expand: 29x - 49271 - 1778 = 28x", "Combine constants: 29x - 51049 = 28x", "Subtract 28x from both sides: x - 51049 = 0", "Add 51049 to both sides: x = 51049"], "final_answer": "51049", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x - 1699) - 1778 = 28x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 1699, \"c\": 1778, \"d\": 28}", "seed": "9049776707575267296", "semantic_fingerprint": "sha256:5e24cdd7f58cf5b3b2421188a52188e9a4ae487b145af40907b714965ed7f142", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005143", "prompt": "What value of x satisfies 29(x + 2145) + 6168 = -40(x - 30646) + 3735?", "solution_steps": ["Expand: 29x + 62205 + 6168 = -40(x - 30646) + 3735", "Expand: 29x + 62205 + 6168 = -40x + 1225840 + 3735", "Combine constants: 29x + 68373 = -40x + 1225840 + 3735", "Combine constants: 29x + 68373 = -40x + 1229575", "Add 40x to both sides: 69x + 68373 = 1229575", "Subtract 68373 from both sides: 69x = 1161202", "Divide both sides by 69: x = 1161202/69"], "final_answer": "1161202/69", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 2145) + 6168 = -40(x - 30646) + 3735", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2145, \"c\": 6168, \"d\": -40, \"e\": 30646, \"f\": 3735}", "seed": "16778987796034381174", "semantic_fingerprint": "sha256:958671c6cdef073b52fd1725bfd96572858d3e214eb1b80070aa6299927070ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005144", "prompt": "Solve for x: -21x - 4120 = -2629", "solution_steps": ["Add 4120 to both sides: -21x = 1491", "Divide both sides by -21: x = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x - 4120 = -2629", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 4120, \"d\": -2629, \"x\": -71}", "seed": "17153226592065897853", "semantic_fingerprint": "sha256:f9e56bccf8548902181656365d6e3612303305344a6c79c649b8abbc74c8b68d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005145", "prompt": "Find x: x = 23(x - 2487)", "solution_steps": ["Expand: x = 23x - 57201", "Subtract 23x from both sides: -22x = -57201", "Divide both sides by -22: x = 57201/22"], "final_answer": "57201/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 23(x - 2487)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 2487}", "seed": "13359273788176328906", "semantic_fingerprint": "sha256:6532029f697abd2c5efe2b31964b264940e794cdd8dac168d021cdfeecd4d2e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005146", "prompt": "Compute: 5314 * 64069 / (7653 - (-1599))", "solution_steps": ["Multiply: 5314 * 64069 = 340462666", "Subtract: 7653 - (-1599) = 9252", "Divide: 340462666 / 9252 = 170231333/4626"], "final_answer": "170231333/4626", "answer_type": "rational", "kind": "expression", "math_text": "5314 * 64069 / (7653 - (-1599))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5314, \"b\": 64069, \"c\": 7653, \"d\": -1599}", "seed": "16423759771394093962", "semantic_fingerprint": "sha256:2a8ea873518f6572a7b1b893ba63910c787b923fc3d4923fe6c039ebc0c13cbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005147", "prompt": "Solve the equation x = 30(x - 5488) for x.", "solution_steps": ["Expand: x = 30x - 164640", "Subtract 30x from both sides: -29x = -164640", "Divide both sides by -29: x = 164640/29"], "final_answer": "164640/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 30(x - 5488)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 5488}", "seed": "10639873801211675410", "semantic_fingerprint": "sha256:f7b980f286a868a058c3a1a95f4de927bc3016644c1d4c94bc86f8d7b9c17bb2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005148", "prompt": "Compute: 4479 + 54325", "solution_steps": ["Add: 4479 + 54325 = 58804"], "final_answer": "58804", "answer_type": "integer", "kind": "expression", "math_text": "4479 + 54325", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4479, \"b\": 54325}", "seed": "6170291493064844140", "semantic_fingerprint": "sha256:dca7d5e9728264ac679a1ead9bf50923cb1d7bd8b2d429399a97900720cf385c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005149", "prompt": "What value of x satisfies -30x = x?", "solution_steps": ["Subtract x from both sides: -31x = 0", "Divide both sides by -31: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30}", "seed": "5384575198626629016", "semantic_fingerprint": "sha256:1a29509606f4a25f22868ae3b394c16e0aca1cf3ba4faf78bfb8838975ef5dbc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005150", "prompt": "Calculate: 6672 + (-4384) / 63403", "solution_steps": ["Divide: -4384 / 63403 = -4384/63403", "Add: 6672 + (-4384/63403) = 423020432/63403"], "final_answer": "423020432/63403", "answer_type": "rational", "kind": "expression", "math_text": "6672 + (-4384) / 63403", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6672, \"b\": -4384, \"c\": 63403}", "seed": "6858789071163853163", "semantic_fingerprint": "sha256:92d02da3728277e8f65de28d7f21902a2a0068c27c5c5474f1a5410e2870c34e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005151", "prompt": "What value of x satisfies -40(x + 3762) = 33x?", "solution_steps": ["Expand: -40x - 150480 = 33x", "Subtract 33x from both sides: -73x - 150480 = 0", "Add 150480 to both sides: -73x = 150480", "Divide both sides by -73: x = -150480/73"], "final_answer": "-150480/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40(x + 3762) = 33x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 3762, \"c\": 33}", "seed": "904545583157528475", "semantic_fingerprint": "sha256:9b58824b4f2d2f1c244880e97fcd04a734e7a852fa8e4961bae35ba189090a34", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005152", "prompt": "Find x: 35x - 92201 = 38(x - 5244) + 9803", "solution_steps": ["Expand: 35x - 92201 = 38x - 199272 + 9803", "Combine constants: 35x - 92201 = 38x - 189469", "Subtract 38x from both sides: -3x - 92201 = -189469", "Add 92201 to both sides: -3x = -97268", "Divide both sides by -3: x = 97268/3"], "final_answer": "97268/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x - 92201 = 38(x - 5244) + 9803", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 92201, \"c\": 38, \"d\": 5244, \"e\": 9803}", "seed": "16851177793324583876", "semantic_fingerprint": "sha256:7dcedc8971d4afc2b63c2cc954b37aced2a95ebedb8c2b401fbecc9e6608bf89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005153", "prompt": "What is -58681 * (-13994 - 73087)?", "solution_steps": ["Subtract: -13994 - 73087 = -87081", "Multiply: -58681 * (-87081) = 5110000161"], "final_answer": "5110000161", "answer_type": "integer", "kind": "expression", "math_text": "-58681 * (-13994 - 73087)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -58681, \"b\": -13994, \"c\": 73087}", "seed": "15257180599078772944", "semantic_fingerprint": "sha256:52b8a75ed279c50f1e5cf8f9fb2eab789dd5557319860030d453f51ff140d3f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005154", "prompt": "What value of x satisfies x - 44904 = 19(x - 2122) - 3344?", "solution_steps": ["Expand: x - 44904 = 19x - 40318 - 3344", "Combine constants: x - 44904 = 19x - 43662", "Subtract 19x from both sides: -18x - 44904 = -43662", "Add 44904 to both sides: -18x = 1242", "Divide both sides by -18: x = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 44904 = 19(x - 2122) - 3344", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 44904, \"b\": 19, \"c\": 2122, \"e\": -3344, \"x\": -69}", "seed": "4997749778954958041", "semantic_fingerprint": "sha256:65e4f0aae1ee6b62d2106d2c5dedc35083018c2fd101a1fc463f64d14755895b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005155", "prompt": "Compute: 8565 - (-68512 + 4232 * 24231)", "solution_steps": ["Multiply: 4232 * 24231 = 102545592", "Add: -68512 + 102545592 = 102477080", "Subtract: 8565 - 102477080 = -102468515"], "final_answer": "-102468515", "answer_type": "integer", "kind": "expression", "math_text": "8565 - (-68512 + 4232 * 24231)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8565, \"b\": -68512, \"c\": 4232, \"d\": 24231}", "seed": "15043493705488997219", "semantic_fingerprint": "sha256:e9431ee0e9cf16486f292e66a753fc141b4585b34e6c32facb0b1eaef2b9b91c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005156", "prompt": "Solve for x: 15(x - 4496) + 1613 = x - 65099", "solution_steps": ["Expand: 15x - 67440 + 1613 = x - 65099", "Combine constants: 15x - 65827 = x - 65099", "Subtract x from both sides: 14x - 65827 = -65099", "Add 65827 to both sides: 14x = 728", "Divide both sides by 14: x = 52"], "final_answer": "52", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x - 4496) + 1613 = x - 65099", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 4496, \"c\": 1613, \"e\": -65099, \"x\": 52}", "seed": "7819058271687747226", "semantic_fingerprint": "sha256:3207db661673ae54ca2d14dad416f77c203ddaf8a011976c78030c1ec6fa599b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005157", "prompt": "Compute: (-60404 + (-9222)) * (-58695)", "solution_steps": ["Add: -60404 + (-9222) = -69626", "Multiply: -69626 * (-58695) = 4086698070"], "final_answer": "4086698070", "answer_type": "integer", "kind": "expression", "math_text": "(-60404 + (-9222)) * (-58695)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -60404, \"b\": -9222, \"c\": -58695}", "seed": "15247154598126478733", "semantic_fingerprint": "sha256:0dde6b75196f6903cc77bedfd351808629f541ee143e676e5e3483395d729bb0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005158", "prompt": "Compute: 22138 - (-7712)", "solution_steps": ["Subtract: 22138 - (-7712) = 29850"], "final_answer": "29850", "answer_type": "integer", "kind": "expression", "math_text": "22138 - (-7712)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 22138, \"b\": -7712}", "seed": "2085847726926576928", "semantic_fingerprint": "sha256:0988bf0b32aa4cd2069f7f58015b2120490d28a3ce063c3475520d408a78f64e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005159", "prompt": "Solve the equation 20(x + 4750) = 96480 for x.", "solution_steps": ["Expand: 20x + 95000 = 96480", "Subtract 95000 from both sides: 20x = 1480", "Divide both sides by 20: x = 74"], "final_answer": "74", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 4750) = 96480", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 4750, \"d\": 96480, \"x\": 74}", "seed": "5937470104167360744", "semantic_fingerprint": "sha256:2474238fb19257673450229b0b3260ff96d38fa6a17f62b9d90395bb318e5583", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005160", "prompt": "Compute: -8196 / (-3513)", "solution_steps": ["Divide: -8196 / (-3513) = 2732/1171"], "final_answer": "2732/1171", "answer_type": "rational", "kind": "expression", "math_text": "-8196 / (-3513)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8196, \"b\": -3513}", "seed": "15898331644252919666", "semantic_fingerprint": "sha256:2a39a1a931eca55ef0cd9a66500c025cc9956d385b37dcaa8fcbf82cd3fc9662", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005161", "prompt": "What value of x satisfies -13x - 8331 = x - 5587?", "solution_steps": ["Subtract x from both sides: -14x - 8331 = -5587", "Add 8331 to both sides: -14x = 2744", "Divide both sides by -14: x = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "linear_equation", "math_text": "-13x - 8331 = x - 5587", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 8331, \"d\": -5587, \"x\": -196}", "seed": "14057113583652460979", "semantic_fingerprint": "sha256:cae7a8bb316e9f268edc3f6696309a118abc3b6ed0c8c583b0f6b7bec0b29c06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005162", "prompt": "Solve the equation 25x - 4424 = x - 3728 for x.", "solution_steps": ["Subtract x from both sides: 24x - 4424 = -3728", "Add 4424 to both sides: 24x = 696", "Divide both sides by 24: x = 29"], "final_answer": "29", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x - 4424 = x - 3728", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 4424, \"d\": -3728, \"x\": 29}", "seed": "6013474332375454460", "semantic_fingerprint": "sha256:0cac08c9109f9f6d0b54b00bac4444a7ffe9365b9da5bc1c66d7a2990c2a93da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005163", "prompt": "Compute: -6103 / (-70171 - 5415) + 85305 + 8656", "solution_steps": ["Subtract: -70171 - 5415 = -75586", "Divide: -6103 / (-75586) = 6103/75586", "Add: 6103/75586 + 85305 = 6447869833/75586", "Add: 6447869833/75586 + 8656 = 7102142249/75586"], "final_answer": "7102142249/75586", "answer_type": "rational", "kind": "expression", "math_text": "-6103 / (-70171 - 5415) + 85305 + 8656", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6103, \"b\": -70171, \"c\": 5415, \"d\": 85305, \"e\": 8656}", "seed": "3625261667228003994", "semantic_fingerprint": "sha256:b0251c51f68f0e18d85269544262098c327289b5d38b8bab277a24e92f390857", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005164", "prompt": "Find x: x = -32(x - 7285)", "solution_steps": ["Expand: x = -32x + 233120", "Add 32x to both sides: 33x = 233120", "Divide both sides by 33: x = 233120/33"], "final_answer": "233120/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -32(x - 7285)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 7285}", "seed": "9415214152607893937", "semantic_fingerprint": "sha256:5abb4ee5bbe1d9b92fb1d66d54aa82d400179918e84880c7800ad45e283d0283", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005165", "prompt": "Calculate: 5055 + (-7312 / 37424 - 7357)", "solution_steps": ["Divide: -7312 / 37424 = -457/2339", "Subtract: -457/2339 - 7357 = -17208480/2339", "Add: 5055 + (-17208480/2339) = -5384835/2339"], "final_answer": "-5384835/2339", "answer_type": "rational", "kind": "expression", "math_text": "5055 + (-7312 / 37424 - 7357)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5055, \"b\": -7312, \"c\": 37424, \"d\": 7357}", "seed": "2153680993996776051", "semantic_fingerprint": "sha256:d73667fe1bb74188aa377b1dbd9750927bc8931738894e7fa94c2a61e074e780", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005166", "prompt": "What value of x satisfies x = 20x - 3401?", "solution_steps": ["Subtract 20x from both sides: -19x = -3401", "Divide both sides by -19: x = 179"], "final_answer": "179", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 20x - 3401", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": -3401, \"x\": 179}", "seed": "8823853227857926332", "semantic_fingerprint": "sha256:cf4e725045ed313bb40d87feed8488a5900711ef5624e3885e5d29eadfc9842d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005167", "prompt": "Compute: 9633 / (-4871)", "solution_steps": ["Divide: 9633 / (-4871) = -9633/4871"], "final_answer": "-9633/4871", "answer_type": "rational", "kind": "expression", "math_text": "9633 / (-4871)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9633, \"b\": -4871}", "seed": "11624004619308098058", "semantic_fingerprint": "sha256:2c2b7f27192f506c6cb31f0e102e3c037a06d36351c111498406622e96fc65b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005168", "prompt": "Find x: -23(x + 1293) - 49653 = 35x - 9405", "solution_steps": ["Expand: -23x - 29739 - 49653 = 35x - 9405", "Combine constants: -23x - 79392 = 35x - 9405", "Subtract 35x from both sides: -58x - 79392 = -9405", "Add 79392 to both sides: -58x = 69987", "Divide both sides by -58: x = -69987/58"], "final_answer": "-69987/58", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 1293) - 49653 = 35x - 9405", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 1293, \"c\": 49653, \"d\": 35, \"e\": 9405}", "seed": "1812761184227785168", "semantic_fingerprint": "sha256:61a68d68c6426c7c2b520dc29bb7a8d735d85c94816c74a49b810a88da279b44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005169", "prompt": "Calculate: 3984 - (-84012)", "solution_steps": ["Subtract: 3984 - (-84012) = 87996"], "final_answer": "87996", "answer_type": "integer", "kind": "expression", "math_text": "3984 - (-84012)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3984, \"b\": -84012}", "seed": "17830038792054490104", "semantic_fingerprint": "sha256:f229704d3507002e15f1d024c2d62a5437d26b825fcc1aaa8c0b29e07e70e514", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005170", "prompt": "Compute: -77580 - 74352 - (10013 + (-9356 - (-39737)))", "solution_steps": ["Subtract: -77580 - 74352 = -151932", "Subtract: -9356 - (-39737) = 30381", "Add: 10013 + 30381 = 40394", "Subtract: -151932 - 40394 = -192326"], "final_answer": "-192326", "answer_type": "integer", "kind": "expression", "math_text": "-77580 - 74352 - (10013 + (-9356 - (-39737)))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -77580, \"b\": 74352, \"c\": 10013, \"d\": -9356, \"e\": -39737}", "seed": "4235268204352105241", "semantic_fingerprint": "sha256:6220806acdbb9e31f57ce36af0740a8ef0851810eb4b33293cf46bc78b26c11c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005171", "prompt": "What is -6659 * 5301 / (-99561)?", "solution_steps": ["Multiply: -6659 * 5301 = -35299359", "Divide: -35299359 / (-99561) = 11766453/33187"], "final_answer": "11766453/33187", "answer_type": "rational", "kind": "expression", "math_text": "-6659 * 5301 / (-99561)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6659, \"b\": 5301, \"c\": -99561}", "seed": "2699233500797081424", "semantic_fingerprint": "sha256:412d5553e8ef88dae4883095a193ea0d24ce4eb682a1254aa978b9e12cac9d41", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005172", "prompt": "Solve the equation -15(x + 4795) = x + 62243 for x.", "solution_steps": ["Expand: -15x - 71925 = x + 62243", "Subtract x from both sides: -16x - 71925 = 62243", "Add 71925 to both sides: -16x = 134168", "Divide both sides by -16: x = -16771/2"], "final_answer": "-16771/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x + 4795) = x + 62243", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 4795, \"c\": 62243}", "seed": "5681673414871863524", "semantic_fingerprint": "sha256:2326063c23b83bcd47ead986762a43007bb98d3e4ff1a8a03e4051c4d688597f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005173", "prompt": "Solve for x: x + 58518 = 38(x - 1503) - 7022", "solution_steps": ["Expand: x + 58518 = 38x - 57114 - 7022", "Combine constants: x + 58518 = 38x - 64136", "Subtract 38x from both sides: -37x + 58518 = -64136", "Subtract 58518 from both sides: -37x = -122654", "Divide both sides by -37: x = 122654/37"], "final_answer": "122654/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 58518 = 38(x - 1503) - 7022", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 58518, \"b\": 38, \"c\": 1503, \"d\": 7022}", "seed": "17216852496273185519", "semantic_fingerprint": "sha256:0d5ad0f9fd0ae691b9be2275285cd67bd40e0d018c2cb3bc4f46fb328e2184e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005174", "prompt": "What is 4571 / 9532?", "solution_steps": ["Divide: 4571 / 9532 = 4571/9532"], "final_answer": "4571/9532", "answer_type": "rational", "kind": "expression", "math_text": "4571 / 9532", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4571, \"b\": 9532}", "seed": "1145983551641749424", "semantic_fingerprint": "sha256:846fb366841d116dcf4da0760069a55167f859d382c47ef59cc8325f4c81023a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005175", "prompt": "What is 14627 + 9255 * (-3944) / (7958 - 1747)?", "solution_steps": ["Multiply: 9255 * (-3944) = -36501720", "Subtract: 7958 - 1747 = 6211", "Divide: -36501720 / 6211 = -36501720/6211", "Add: 14627 + (-36501720/6211) = 54346577/6211"], "final_answer": "54346577/6211", "answer_type": "rational", "kind": "expression", "math_text": "14627 + 9255 * (-3944) / (7958 - 1747)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14627, \"b\": 9255, \"c\": -3944, \"d\": 7958, \"e\": 1747}", "seed": "2055949194853162030", "semantic_fingerprint": "sha256:a72a87cf645727e9afb4c0aa09b532bda1f58c3a08ff34519eb7b007ad65d56c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005176", "prompt": "What is 9895 - (-45366) - 4340?", "solution_steps": ["Subtract: 9895 - (-45366) = 55261", "Subtract: 55261 - 4340 = 50921"], "final_answer": "50921", "answer_type": "integer", "kind": "expression", "math_text": "9895 - (-45366) - 4340", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9895, \"b\": -45366, \"c\": 4340}", "seed": "15233069322505928273", "semantic_fingerprint": "sha256:3ddb32c30026ce5df8e23fef419ce2d09147cf2a0a4a69ebb6b30fe7595b7500", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005177", "prompt": "Calculate: -7674 * 7138 - (-37552) / (-3467)", "solution_steps": ["Multiply: -7674 * 7138 = -54777012", "Divide: -37552 / (-3467) = 37552/3467", "Subtract: -54777012 - 37552/3467 = -189911938156/3467"], "final_answer": "-189911938156/3467", "answer_type": "rational", "kind": "expression", "math_text": "-7674 * 7138 - (-37552) / (-3467)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7674, \"b\": 7138, \"c\": -37552, \"d\": -3467}", "seed": "1932482702123039259", "semantic_fingerprint": "sha256:c730db8b45b47c9e9255183686c27f81841e17c2d5cf97f25fc38ef77ce6cb20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005178", "prompt": "Solve for x: 20(x - 36714) = 28(x + 1743)", "solution_steps": ["Expand: 20x - 734280 = 28(x + 1743)", "Expand: 20x - 734280 = 28x + 48804", "Subtract 28x from both sides: -8x - 734280 = 48804", "Add 734280 to both sides: -8x = 783084", "Divide both sides by -8: x = -195771/2"], "final_answer": "-195771/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 36714) = 28(x + 1743)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 36714, \"c\": 28, \"d\": 1743}", "seed": "18418831670903309939", "semantic_fingerprint": "sha256:ca93d7b9227ea38c0b14f4eeef3b338a89ce68b858163e013935e0573fcc2716", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005179", "prompt": "Calculate: 17380 - (-3746 - 2803) - 5852", "solution_steps": ["Subtract: -3746 - 2803 = -6549", "Subtract: 17380 - (-6549) = 23929", "Subtract: 23929 - 5852 = 18077"], "final_answer": "18077", "answer_type": "integer", "kind": "expression", "math_text": "17380 - (-3746 - 2803) - 5852", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17380, \"b\": -3746, \"c\": 2803, \"d\": 5852}", "seed": "9376487704078937669", "semantic_fingerprint": "sha256:2fe84eedff63e81ae5cb0e7c80b11abc233985fac6fe9cd234d034ce94f69dcd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005180", "prompt": "Solve for x: -26x = 23(x + 1161)", "solution_steps": ["Expand: -26x = 23x + 26703", "Subtract 23x from both sides: -49x = 26703", "Divide both sides by -49: x = -26703/49"], "final_answer": "-26703/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26x = 23(x + 1161)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 23, \"c\": 1161}", "seed": "10689810629552349713", "semantic_fingerprint": "sha256:ab409584f1df8cf822a47df126e6c8dcc6446ed840e536bcb1aa37114a6cd2cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005181", "prompt": "Solve for x: 38(x + 5281) = -24x + 2149", "solution_steps": ["Expand: 38x + 200678 = -24x + 2149", "Add 24x to both sides: 62x + 200678 = 2149", "Subtract 200678 from both sides: 62x = -198529", "Divide both sides by 62: x = -198529/62"], "final_answer": "-198529/62", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 5281) = -24x + 2149", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 5281, \"c\": -24, \"d\": 2149}", "seed": "17780673296225712369", "semantic_fingerprint": "sha256:adb4526a1f319b06b80d36ef6fc6734377aa0f3b4da456a9687618ba7450b470", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005182", "prompt": "Compute: 90182 - 8980 * 4992", "solution_steps": ["Multiply: 8980 * 4992 = 44828160", "Subtract: 90182 - 44828160 = -44737978"], "final_answer": "-44737978", "answer_type": "integer", "kind": "expression", "math_text": "90182 - 8980 * 4992", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90182, \"b\": 8980, \"c\": 4992}", "seed": "8932847800042131546", "semantic_fingerprint": "sha256:9442a45bcf963efdb7b32fc6e65358724d99fc23302dc3cd7600719aa2a36047", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005183", "prompt": "Compute: -43250 + 62021 + (-5311)", "solution_steps": ["Add: -43250 + 62021 = 18771", "Add: 18771 + (-5311) = 13460"], "final_answer": "13460", "answer_type": "integer", "kind": "expression", "math_text": "-43250 + 62021 + (-5311)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43250, \"b\": 62021, \"c\": -5311}", "seed": "12837885543776101729", "semantic_fingerprint": "sha256:53ee7823630be3b55a079dee2faa6a941eb75b711d82723e7d9050f05a95a297", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005184", "prompt": "Find x: -17(x - 56123) = -22(x - 9065) + 95955", "solution_steps": ["Expand: -17x + 954091 = -22(x - 9065) + 95955", "Expand: -17x + 954091 = -22x + 199430 + 95955", "Combine constants: -17x + 954091 = -22x + 295385", "Add 22x to both sides: 5x + 954091 = 295385", "Subtract 954091 from both sides: 5x = -658706", "Divide both sides by 5: x = -658706/5"], "final_answer": "-658706/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x - 56123) = -22(x - 9065) + 95955", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 56123, \"c\": -22, \"d\": 9065, \"e\": 95955}", "seed": "7440283991509607848", "semantic_fingerprint": "sha256:29c5d398c262054ea3f459cbd44d53c829d1a20cc52dacf33230cb780e1d6dc2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005185", "prompt": "Compute: 7734 + 20196", "solution_steps": ["Add: 7734 + 20196 = 27930"], "final_answer": "27930", "answer_type": "integer", "kind": "expression", "math_text": "7734 + 20196", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7734, \"b\": 20196}", "seed": "12961757083490370729", "semantic_fingerprint": "sha256:1c8edfeb6514cb5fa64fd8c8876eb932d267331458af3656ccf5e8cec79b47e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005186", "prompt": "What value of x satisfies x - 64560 = 19(x - 1215)?", "solution_steps": ["Expand: x - 64560 = 19x - 23085", "Subtract 19x from both sides: -18x - 64560 = -23085", "Add 64560 to both sides: -18x = 41475", "Divide both sides by -18: x = -13825/6"], "final_answer": "-13825/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 64560 = 19(x - 1215)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 64560, \"b\": 19, \"c\": 1215}", "seed": "5448495716931855763", "semantic_fingerprint": "sha256:314ca8235215f8e35fbae23c08b12034b1952c253f8bdfa78b0683a31279c1bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005187", "prompt": "Solve the equation 38x + 1876 = 32x + 2764 for x.", "solution_steps": ["Subtract 32x from both sides: 6x + 1876 = 2764", "Subtract 1876 from both sides: 6x = 888", "Divide both sides by 6: x = 148"], "final_answer": "148", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 1876 = 32x + 2764", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 1876, \"c\": 32, \"e\": 2764, \"x\": 148}", "seed": "11967553404290969445", "semantic_fingerprint": "sha256:81bb59f51ab1ab410bef90c73543011093bd6a495b959fdb3e5a1f9c7c655134", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005188", "prompt": "Compute: -5516 - (-67244)", "solution_steps": ["Subtract: -5516 - (-67244) = 61728"], "final_answer": "61728", "answer_type": "integer", "kind": "expression", "math_text": "-5516 - (-67244)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5516, \"b\": -67244}", "seed": "14995878190127895046", "semantic_fingerprint": "sha256:75bb4dca5f43057e397a35fb46a6371ce8ba74126c745d0790211db1749b1310", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005189", "prompt": "Calculate: -78457 * 98084", "solution_steps": ["Multiply: -78457 * 98084 = -7695376388"], "final_answer": "-7695376388", "answer_type": "integer", "kind": "expression", "math_text": "-78457 * 98084", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -78457, \"b\": 98084}", "seed": "11945658714125565939", "semantic_fingerprint": "sha256:a66cdba152dfeed2564756006257c4eada959eca8183b3ba9e12653bd9e3ec06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005190", "prompt": "Evaluate: -6934 * (-3512)", "solution_steps": ["Multiply: -6934 * (-3512) = 24352208"], "final_answer": "24352208", "answer_type": "integer", "kind": "expression", "math_text": "-6934 * (-3512)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6934, \"b\": -3512}", "seed": "545713141437160533", "semantic_fingerprint": "sha256:d5bb492117228f9ed3cb8eafcf7a3f38ac1fd42cc1c3e1fbee6dfff46ef69109", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005191", "prompt": "Compute: 55541 - (-9054 - (-3896) / 66484 - 7131)", "solution_steps": ["Divide: -3896 / 66484 = -974/16621", "Subtract: -9054 - (-974/16621) = -150485560/16621", "Subtract: -150485560/16621 - 7131 = -269009911/16621", "Subtract: 55541 - (-269009911/16621) = 1192156872/16621"], "final_answer": "1192156872/16621", "answer_type": "rational", "kind": "expression", "math_text": "55541 - (-9054 - (-3896) / 66484 - 7131)", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 55541, \"b\": -9054, \"c\": -3896, \"d\": 66484, \"e\": 7131}", "seed": "457659694360968437", "semantic_fingerprint": "sha256:79d17141cdbd92fc06a94f8c2e9dbca9bbc25e12274c5e605fb726789ec403f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005192", "prompt": "Evaluate: 4817 + (-56703) - (-3679)", "solution_steps": ["Add: 4817 + (-56703) = -51886", "Subtract: -51886 - (-3679) = -48207"], "final_answer": "-48207", "answer_type": "integer", "kind": "expression", "math_text": "4817 + (-56703) - (-3679)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4817, \"b\": -56703, \"c\": -3679}", "seed": "18144429728344387794", "semantic_fingerprint": "sha256:2ec7f22922975385c7b3d814faaa04798e16adb714bf77777f62e43b4543ff6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005193", "prompt": "Calculate: -1170 * (-3178 - 9506)", "solution_steps": ["Subtract: -3178 - 9506 = -12684", "Multiply: -1170 * (-12684) = 14840280"], "final_answer": "14840280", "answer_type": "integer", "kind": "expression", "math_text": "-1170 * (-3178 - 9506)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1170, \"b\": -3178, \"c\": 9506}", "seed": "9406178962324244585", "semantic_fingerprint": "sha256:0abc05306ad60a083c1a3d4544a9d69605af129e7b89b42d52a148b6c86a2296", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005194", "prompt": "Calculate: -28214 - 11208", "solution_steps": ["Subtract: -28214 - 11208 = -39422"], "final_answer": "-39422", "answer_type": "integer", "kind": "expression", "math_text": "-28214 - 11208", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -28214, \"b\": 11208}", "seed": "2761735077150957880", "semantic_fingerprint": "sha256:449ad4cffd70bd56500d3f78150f5d43903b0e69e85b58713483f271c74ec665", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005195", "prompt": "What is 7859 + (-9410) * (-32540) + 47078?", "solution_steps": ["Multiply: -9410 * (-32540) = 306201400", "Add: 7859 + 306201400 = 306209259", "Add: 306209259 + 47078 = 306256337"], "final_answer": "306256337", "answer_type": "integer", "kind": "expression", "math_text": "7859 + (-9410) * (-32540) + 47078", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7859, \"b\": -9410, \"c\": -32540, \"d\": 47078}", "seed": "15247795737101023255", "semantic_fingerprint": "sha256:f5e775dfe68be1169dcee0d1a54a7bb3bed8eb44ca1fa365c7a535db5d2b080b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005196", "prompt": "Find x: -31(x + 4789) + 16752 = 22x + 8454", "solution_steps": ["Expand: -31x - 148459 + 16752 = 22x + 8454", "Combine constants: -31x - 131707 = 22x + 8454", "Subtract 22x from both sides: -53x - 131707 = 8454", "Add 131707 to both sides: -53x = 140161", "Divide both sides by -53: x = -140161/53"], "final_answer": "-140161/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x + 4789) + 16752 = 22x + 8454", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 4789, \"c\": 16752, \"d\": 22, \"e\": 8454}", "seed": "2470309333594585623", "semantic_fingerprint": "sha256:b6a42769130db0bdb4637cd1bf64537078d4f8cc7de0c205aa6d782c5397d904", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005197", "prompt": "Calculate: 23272 / (-9649 / 6763)", "solution_steps": ["Divide: -9649 / 6763 = -9649/6763", "Divide: 23272 / (-9649/6763) = -157388536/9649"], "final_answer": "-157388536/9649", "answer_type": "rational", "kind": "expression", "math_text": "23272 / (-9649 / 6763)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 23272, \"b\": -9649, \"c\": 6763}", "seed": "8930942317995234676", "semantic_fingerprint": "sha256:3e4ca22aef8469db11e28170acd2cb45ca2284d0e79fc572ea44f7a747c970cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005198", "prompt": "What is 66580 + 9378 / (-2455)?", "solution_steps": ["Divide: 9378 / (-2455) = -9378/2455", "Add: 66580 + (-9378/2455) = 163444522/2455"], "final_answer": "163444522/2455", "answer_type": "rational", "kind": "expression", "math_text": "66580 + 9378 / (-2455)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66580, \"b\": 9378, \"c\": -2455}", "seed": "16176922146890053488", "semantic_fingerprint": "sha256:3479e735bff54c847a44c5dc859af92f04a0bff3813068e5d6bfc72d6fed5cf4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005199", "prompt": "Calculate: 3860 - (-2486) * 68220 - (1621 + (-40131))", "solution_steps": ["Multiply: -2486 * 68220 = -169594920", "Subtract: 3860 - (-169594920) = 169598780", "Add: 1621 + (-40131) = -38510", "Subtract: 169598780 - (-38510) = 169637290"], "final_answer": "169637290", "answer_type": "integer", "kind": "expression", "math_text": "3860 - (-2486) * 68220 - (1621 + (-40131))", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3860, \"b\": -2486, \"c\": 68220, \"d\": 1621, \"e\": -40131}", "seed": "986943632156419449", "semantic_fingerprint": "sha256:f5d469439479d51f59a6be75242f7b65d42c39dfcad2b78f1e58c6d7917b5466", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005200", "prompt": "Calculate: (5352 - (-1628)) * 18027", "solution_steps": ["Subtract: 5352 - (-1628) = 6980", "Multiply: 6980 * 18027 = 125828460"], "final_answer": "125828460", "answer_type": "integer", "kind": "expression", "math_text": "(5352 - (-1628)) * 18027", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5352, \"b\": -1628, \"c\": 18027}", "seed": "14281764351215081226", "semantic_fingerprint": "sha256:02e3d8bf69912bf46abbe7b851cc3e04d1cd91a143bf00697cfb5fd3d8548a62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005201", "prompt": "Evaluate: -41019 - (7415 + 1214)", "solution_steps": ["Add: 7415 + 1214 = 8629", "Subtract: -41019 - 8629 = -49648"], "final_answer": "-49648", "answer_type": "integer", "kind": "expression", "math_text": "-41019 - (7415 + 1214)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41019, \"b\": 7415, \"c\": 1214}", "seed": "16914425722046703285", "semantic_fingerprint": "sha256:fffc02c6d9ad11bb983fb5dbf34309cc882a8543fa184b50a429509dd2866039", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005202", "prompt": "Solve the equation x - 73678 = 7666 for x.", "solution_steps": ["Add 73678 to both sides: x = 81344"], "final_answer": "81344", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 73678 = 7666", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73678, \"b\": 7666}", "seed": "14357202367604797943", "semantic_fingerprint": "sha256:2a33ba0cbdf9686d015f1f756ef0af20a1faea55dbbc21b8a43bdd7ec2916cd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005203", "prompt": "Solve the equation 20(x + 3339) + 16008 = 19(x + 4362) for x.", "solution_steps": ["Expand: 20x + 66780 + 16008 = 19(x + 4362)", "Expand: 20x + 66780 + 16008 = 19x + 82878", "Combine constants: 20x + 82788 = 19x + 82878", "Subtract 19x from both sides: x + 82788 = 82878", "Subtract 82788 from both sides: x = 90"], "final_answer": "90", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x + 3339) + 16008 = 19(x + 4362)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3339, \"c\": 19, \"d\": 4362, \"f\": 16008, \"x\": 90}", "seed": "6547307277745118843", "semantic_fingerprint": "sha256:42820a040986a82d42410a5ec963d37f8d5e83cab44b4cdc5cd2c2332a33f379", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005204", "prompt": "Calculate: -7332 + 77304 * (-7800)", "solution_steps": ["Multiply: 77304 * (-7800) = -602971200", "Add: -7332 + (-602971200) = -602978532"], "final_answer": "-602978532", "answer_type": "integer", "kind": "expression", "math_text": "-7332 + 77304 * (-7800)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7332, \"b\": 77304, \"c\": -7800}", "seed": "13118582946192938109", "semantic_fingerprint": "sha256:57aae18cf72ed849b52956a06ae1e220c11b30aff6d1d889f180ff55918b6520", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005205", "prompt": "Evaluate: 42093 + 18681", "solution_steps": ["Add: 42093 + 18681 = 60774"], "final_answer": "60774", "answer_type": "integer", "kind": "expression", "math_text": "42093 + 18681", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 42093, \"b\": 18681}", "seed": "33601015940198431", "semantic_fingerprint": "sha256:9dea9dd30a019bd08b5b808285de3095015ce6a11a5c723d69b86917ca3b5fff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005206", "prompt": "What is -87666 + (-51893)?", "solution_steps": ["Add: -87666 + (-51893) = -139559"], "final_answer": "-139559", "answer_type": "integer", "kind": "expression", "math_text": "-87666 + (-51893)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -87666, \"b\": -51893}", "seed": "8640107300088445207", "semantic_fingerprint": "sha256:ad82a6104d490969ff8c6bdeb3d75377c5f8c318393471ab0777ca1cd7528e6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005207", "prompt": "Solve the equation 21(x + 7027) = x for x.", "solution_steps": ["Expand: 21x + 147567 = x", "Subtract x from both sides: 20x + 147567 = 0", "Subtract 147567 from both sides: 20x = -147567", "Divide both sides by 20: x = -147567/20"], "final_answer": "-147567/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 7027) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 7027}", "seed": "11135986209661374939", "semantic_fingerprint": "sha256:8135d5c22770c4a1de1584528b847fcc4c887488b1aa2b23fc80b9a815bfb5a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005208", "prompt": "Compute: (-69424 + 9138 / (-4643)) * 1604", "solution_steps": ["Divide: 9138 / (-4643) = -9138/4643", "Add: -69424 + (-9138/4643) = -322344770/4643", "Multiply: (-322344770/4643) * 1604 = -517041011080/4643"], "final_answer": "-517041011080/4643", "answer_type": "rational", "kind": "expression", "math_text": "(-69424 + 9138 / (-4643)) * 1604", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -69424, \"b\": 9138, \"c\": -4643, \"d\": 1604}", "seed": "551971493154653206", "semantic_fingerprint": "sha256:0d789d01cc270d3f2546941be267ca01acfa9d713a35b5855e150758da150aab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005209", "prompt": "Solve the equation 39x + 5107 = x for x.", "solution_steps": ["Subtract x from both sides: 38x + 5107 = 0", "Subtract 5107 from both sides: 38x = -5107", "Divide both sides by 38: x = -5107/38"], "final_answer": "-5107/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x + 5107 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 5107}", "seed": "7927679495252792081", "semantic_fingerprint": "sha256:40b5f10288f90c932bb44e761179508b8822b3c3aa0257d464c3a6cdf37814d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005210", "prompt": "Calculate: -9150 + (-54144) * 54161", "solution_steps": ["Multiply: -54144 * 54161 = -2932493184", "Add: -9150 + (-2932493184) = -2932502334"], "final_answer": "-2932502334", "answer_type": "integer", "kind": "expression", "math_text": "-9150 + (-54144) * 54161", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9150, \"b\": -54144, \"c\": 54161}", "seed": "14027703831457539045", "semantic_fingerprint": "sha256:f8a38340ae9e4739acfb85a9e29a3d3f41e88bae646ca281089ae7e37adbe8b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005211", "prompt": "Find x: -37(x + 9125) = -39x", "solution_steps": ["Expand: -37x - 337625 = -39x", "Add 39x to both sides: 2x - 337625 = 0", "Add 337625 to both sides: 2x = 337625", "Divide both sides by 2: x = 337625/2"], "final_answer": "337625/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37(x + 9125) = -39x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 9125, \"c\": -39}", "seed": "3923672665690287021", "semantic_fingerprint": "sha256:5f864d2e68a13ef91483c9a84cbfc6226a658c9bdce6b637025297d5119f3971", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005212", "prompt": "What value of x satisfies 38(x + 18969) = -13(x + 8999)?", "solution_steps": ["Expand: 38x + 720822 = -13(x + 8999)", "Expand: 38x + 720822 = -13x - 116987", "Add 13x to both sides: 51x + 720822 = -116987", "Subtract 720822 from both sides: 51x = -837809", "Divide both sides by 51: x = -837809/51"], "final_answer": "-837809/51", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 18969) = -13(x + 8999)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 18969, \"c\": -13, \"d\": 8999}", "seed": "14561342443333761652", "semantic_fingerprint": "sha256:12d48e89b5d4901788bebc41e4807a2fc2421ed8b3a1edd1938d5adb16ed61d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005213", "prompt": "Evaluate: 4389 - 3741", "solution_steps": ["Subtract: 4389 - 3741 = 648"], "final_answer": "648", "answer_type": "integer", "kind": "expression", "math_text": "4389 - 3741", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4389, \"b\": 3741}", "seed": "10094616337536973832", "semantic_fingerprint": "sha256:9a4ef168c34749f7dd20e726e8df3e88f5cb40069b87f2cb6d2c728bf62c598d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005214", "prompt": "Compute: 79657 / 4637 * (-6863)", "solution_steps": ["Divide: 79657 / 4637 = 79657/4637", "Multiply: (79657/4637) * (-6863) = -546685991/4637"], "final_answer": "-546685991/4637", "answer_type": "rational", "kind": "expression", "math_text": "79657 / 4637 * (-6863)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79657, \"b\": 4637, \"c\": -6863}", "seed": "9125173440108215914", "semantic_fingerprint": "sha256:04b0160890ef1fca277d3e54bca8d41a12716fa722cbf023165b86377a591ccf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005215", "prompt": "Calculate: 34758 * (-5908)", "solution_steps": ["Multiply: 34758 * (-5908) = -205350264"], "final_answer": "-205350264", "answer_type": "integer", "kind": "expression", "math_text": "34758 * (-5908)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 34758, \"b\": -5908}", "seed": "11381863147053855922", "semantic_fingerprint": "sha256:b3e1e6774bc70b98a289ac2d133127ae1177474d6b54378ac8ccf2d3ce386b7c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005216", "prompt": "What is -4713 / 4260 + 8699 + (1756 - 35115)?", "solution_steps": ["Divide: -4713 / 4260 = -1571/1420", "Add: -1571/1420 + 8699 = 12351009/1420", "Subtract: 1756 - 35115 = -33359", "Add: 12351009/1420 + (-33359) = -35018771/1420"], "final_answer": "-35018771/1420", "answer_type": "rational", "kind": "expression", "math_text": "-4713 / 4260 + 8699 + (1756 - 35115)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4713, \"b\": 4260, \"c\": 8699, \"d\": 1756, \"e\": 35115}", "seed": "7016246968232553976", "semantic_fingerprint": "sha256:4536fd4a41a06deecc82d77d4f9c245dbc164c24b57ba880bdb7731dd9d02f72", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005217", "prompt": "Evaluate: (-4443 - (-3195)) / 1832", "solution_steps": ["Subtract: -4443 - (-3195) = -1248", "Divide: -1248 / 1832 = -156/229"], "final_answer": "-156/229", "answer_type": "rational", "kind": "expression", "math_text": "(-4443 - (-3195)) / 1832", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4443, \"b\": -3195, \"c\": 1832}", "seed": "5011968235539228546", "semantic_fingerprint": "sha256:4bd37b920493b150bbc3afe7932ec02ab831373766f5e8068fbfa8db3d52755a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005218", "prompt": "What value of x satisfies x - 4968 = -26x?", "solution_steps": ["Add 26x to both sides: 27x - 4968 = 0", "Add 4968 to both sides: 27x = 4968", "Divide both sides by 27: x = 184"], "final_answer": "184", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4968 = -26x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26, \"c\": -4968, \"x\": 184}", "seed": "5687902198009618437", "semantic_fingerprint": "sha256:36cd5a31e459e66471ed58a266b1dd3ee1ae6e2a577720e80745d10c8cd8bae8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005219", "prompt": "Evaluate: -26157 + (-62246 - 8936)", "solution_steps": ["Subtract: -62246 - 8936 = -71182", "Add: -26157 + (-71182) = -97339"], "final_answer": "-97339", "answer_type": "integer", "kind": "expression", "math_text": "-26157 + (-62246 - 8936)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26157, \"b\": -62246, \"c\": 8936}", "seed": "3402546514436865856", "semantic_fingerprint": "sha256:f4581b61fa2544dc51c93b230376e3373024e6030522d0675b4129b95bd64a53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005220", "prompt": "Evaluate: -4332 * (-51740)", "solution_steps": ["Multiply: -4332 * (-51740) = 224137680"], "final_answer": "224137680", "answer_type": "integer", "kind": "expression", "math_text": "-4332 * (-51740)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4332, \"b\": -51740}", "seed": "7347994628551186832", "semantic_fingerprint": "sha256:e5359e87669a56403983dcd595c0248c5cd4cead43639112517d20e5f976dbfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005221", "prompt": "Compute: 4644 * 54823", "solution_steps": ["Multiply: 4644 * 54823 = 254598012"], "final_answer": "254598012", "answer_type": "integer", "kind": "expression", "math_text": "4644 * 54823", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4644, \"b\": 54823}", "seed": "15215055841545108530", "semantic_fingerprint": "sha256:b9cc370bce9ab71b50c1c6aa36d25a79215a31d278d0ccef8539568c4f391eb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005222", "prompt": "Evaluate: -2972 * (-4921 + 23617)", "solution_steps": ["Add: -4921 + 23617 = 18696", "Multiply: -2972 * 18696 = -55564512"], "final_answer": "-55564512", "answer_type": "integer", "kind": "expression", "math_text": "-2972 * (-4921 + 23617)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2972, \"b\": -4921, \"c\": 23617}", "seed": "14460123383716255246", "semantic_fingerprint": "sha256:e15cdce4107e2b6fd6890a80ed11cb9c4007c3ec5c5d8b323546a5af4af3720d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005223", "prompt": "Solve the equation -26(x + 11167) = 28(x + 4458) for x.", "solution_steps": ["Expand: -26x - 290342 = 28(x + 4458)", "Expand: -26x - 290342 = 28x + 124824", "Subtract 28x from both sides: -54x - 290342 = 124824", "Add 290342 to both sides: -54x = 415166", "Divide both sides by -54: x = -207583/27"], "final_answer": "-207583/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26(x + 11167) = 28(x + 4458)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 11167, \"c\": 28, \"d\": 4458}", "seed": "14089818843434215527", "semantic_fingerprint": "sha256:af89135b557fe2ee702193dacbec50c8b5f20db6444efadd12468719bec872ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005224", "prompt": "Compute: -83516 - (-3238 + (-69231))", "solution_steps": ["Add: -3238 + (-69231) = -72469", "Subtract: -83516 - (-72469) = -11047"], "final_answer": "-11047", "answer_type": "integer", "kind": "expression", "math_text": "-83516 - (-3238 + (-69231))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -83516, \"b\": -3238, \"c\": -69231}", "seed": "806184058790672080", "semantic_fingerprint": "sha256:9fbba8f38a19a59bc797ef514dbcfc5ace1e60683aa041c51b4438e03834cded", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005225", "prompt": "Solve the equation -26(x - 3885) - 8608 = 21(x + 3802) + 7484 for x.", "solution_steps": ["Expand: -26x + 101010 - 8608 = 21(x + 3802) + 7484", "Expand: -26x + 101010 - 8608 = 21x + 79842 + 7484", "Combine constants: -26x + 92402 = 21x + 79842 + 7484", "Combine constants: -26x + 92402 = 21x + 87326", "Subtract 21x from both sides: -47x + 92402 = 87326", "Subtract 92402 from both sides: -47x = -5076", "Divide both sides by -47: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26(x - 3885) - 8608 = 21(x + 3802) + 7484", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 3885, \"c\": 8608, \"d\": 21, \"e\": 3802, \"g\": 7484, \"x\": 108}", "seed": "18426696164747840447", "semantic_fingerprint": "sha256:6547b7440b97b36803681c94f0abde5b79294d45634e293fd7f217c2b9d86fd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005226", "prompt": "Evaluate: 7114 + (-82435) + 9063", "solution_steps": ["Add: 7114 + (-82435) = -75321", "Add: -75321 + 9063 = -66258"], "final_answer": "-66258", "answer_type": "integer", "kind": "expression", "math_text": "7114 + (-82435) + 9063", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7114, \"b\": -82435, \"c\": 9063}", "seed": "3468448770672668428", "semantic_fingerprint": "sha256:2faa90f6a268429d36aa011b92d25b5c7d9da966c9d9d13de7a9b81513c4bef6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005227", "prompt": "Solve the equation 40x - 8378 = x - 11732 for x.", "solution_steps": ["Subtract x from both sides: 39x - 8378 = -11732", "Add 8378 to both sides: 39x = -3354", "Divide both sides by 39: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x - 8378 = x - 11732", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 8378, \"d\": -11732, \"x\": -86}", "seed": "6765889273476380466", "semantic_fingerprint": "sha256:a1863147027424e6574ddb10cd78c99dd7b0dbd709c5e5bbddd1c4c7f08454bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005228", "prompt": "Solve for x: 17x + 7201 = x + 5793", "solution_steps": ["Subtract x from both sides: 16x + 7201 = 5793", "Subtract 7201 from both sides: 16x = -1408", "Divide both sides by 16: x = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 7201 = x + 5793", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 7201, \"d\": 5793, \"x\": -88}", "seed": "7112754337907583510", "semantic_fingerprint": "sha256:562d1c394d0115fa6bd20753678f69a875f317bced6b868ef555577fdfa13171", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005229", "prompt": "Compute: 55395 - (97613 + (-93722) * 1538 - 56811) - 9396", "solution_steps": ["Multiply: -93722 * 1538 = -144144436", "Add: 97613 + (-144144436) = -144046823", "Subtract: -144046823 - 56811 = -144103634", "Subtract: 55395 - (-144103634) = 144159029", "Subtract: 144159029 - 9396 = 144149633"], "final_answer": "144149633", "answer_type": "integer", "kind": "expression", "math_text": "55395 - (97613 + (-93722) * 1538 - 56811) - 9396", "variable": null, "family": "expression_5op", "shape": "(- (- n (- (+ n (* n n)) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 55395, \"b\": 97613, \"c\": -93722, \"d\": 1538, \"e\": 56811, \"f\": 9396}", "seed": "16863866360679529639", "semantic_fingerprint": "sha256:3849226c25ecedc6f081da5f66942f314b8248d271960092521e2fbd692d22e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005230", "prompt": "What is 6848 + 2697 * 33242 - 3906?", "solution_steps": ["Multiply: 2697 * 33242 = 89653674", "Add: 6848 + 89653674 = 89660522", "Subtract: 89660522 - 3906 = 89656616"], "final_answer": "89656616", "answer_type": "integer", "kind": "expression", "math_text": "6848 + 2697 * 33242 - 3906", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6848, \"b\": 2697, \"c\": 33242, \"d\": 3906}", "seed": "16307929594947775260", "semantic_fingerprint": "sha256:e69968eb98e998d1f86c8b0a4fea3e386a6ec7b03e8c697ac862e34b5e14e042", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005231", "prompt": "What value of x satisfies x - 9188 = 38(x + 7489)?", "solution_steps": ["Expand: x - 9188 = 38x + 284582", "Subtract 38x from both sides: -37x - 9188 = 284582", "Add 9188 to both sides: -37x = 293770", "Divide both sides by -37: x = -293770/37"], "final_answer": "-293770/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9188 = 38(x + 7489)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9188, \"b\": 38, \"c\": 7489}", "seed": "8739815431308153595", "semantic_fingerprint": "sha256:f8ff0bf89cb9a4d2206db993af98e9d09718301e0860748857f60a4355b14db2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005232", "prompt": "Solve for x: -36(x - 25296) = -21986", "solution_steps": ["Expand: -36x + 910656 = -21986", "Subtract 910656 from both sides: -36x = -932642", "Divide both sides by -36: x = 466321/18"], "final_answer": "466321/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x - 25296) = -21986", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 25296, \"c\": -21986}", "seed": "2490613807077005664", "semantic_fingerprint": "sha256:f685c066ea262807eb98a4e134c425ece642ddde808dd4c6caa968097cffcdf5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005233", "prompt": "Evaluate: (9332 + (-35768)) * 3426", "solution_steps": ["Add: 9332 + (-35768) = -26436", "Multiply: -26436 * 3426 = -90569736"], "final_answer": "-90569736", "answer_type": "integer", "kind": "expression", "math_text": "(9332 + (-35768)) * 3426", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9332, \"b\": -35768, \"c\": 3426}", "seed": "17189151331714322127", "semantic_fingerprint": "sha256:43edd6e961c32ecf0bc7ed09f0661535d7eb7aad4ef02dd50299bfada582c6f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005234", "prompt": "Compute: (-93277 + 1173 - 7216) * (6555 / (-6034 + (-5838)))", "solution_steps": ["Add: -93277 + 1173 = -92104", "Subtract: -92104 - 7216 = -99320", "Add: -6034 + (-5838) = -11872", "Divide: 6555 / (-11872) = -6555/11872", "Multiply: -99320 * (-6555/11872) = 81380325/1484"], "final_answer": "81380325/1484", "answer_type": "rational", "kind": "expression", "math_text": "(-93277 + 1173 - 7216) * (6555 / (-6034 + (-5838)))", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -93277, \"b\": 1173, \"c\": 7216, \"d\": 6555, \"e\": -6034, \"f\": -5838}", "seed": "14024576920472162141", "semantic_fingerprint": "sha256:1525aaa4ed3bed79cbcff4e7f37a9335fb07fee210df5445e91ef1c11652e060", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005235", "prompt": "Evaluate: (8546 - (-19100)) * (-6873 - (4178 - (-3679)))", "solution_steps": ["Subtract: 8546 - (-19100) = 27646", "Subtract: 4178 - (-3679) = 7857", "Subtract: -6873 - 7857 = -14730", "Multiply: 27646 * (-14730) = -407225580"], "final_answer": "-407225580", "answer_type": "integer", "kind": "expression", "math_text": "(8546 - (-19100)) * (-6873 - (4178 - (-3679)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8546, \"b\": -19100, \"c\": -6873, \"d\": 4178, \"e\": -3679}", "seed": "13552982960826940739", "semantic_fingerprint": "sha256:c5387a146d3c91cb34b2d018a94952bb8dc487792b90949ddff7cc54a24e14ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005236", "prompt": "Solve the equation -16x + 19046 = 30(x + 1372) - 30348 for x.", "solution_steps": ["Expand: -16x + 19046 = 30x + 41160 - 30348", "Combine constants: -16x + 19046 = 30x + 10812", "Subtract 30x from both sides: -46x + 19046 = 10812", "Subtract 19046 from both sides: -46x = -8234", "Divide both sides by -46: x = 179"], "final_answer": "179", "answer_type": "integer", "kind": "linear_equation", "math_text": "-16x + 19046 = 30(x + 1372) - 30348", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 19046, \"c\": 30, \"d\": 1372, \"f\": -30348, \"x\": 179}", "seed": "12846114598572470468", "semantic_fingerprint": "sha256:30f3e03a8f96c37d05e66a737c91fd80fe7c4b3ae99ec4484c044924dab22433", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005237", "prompt": "Compute: (-28332 + (-2552)) / 65839", "solution_steps": ["Add: -28332 + (-2552) = -30884", "Divide: -30884 / 65839 = -30884/65839"], "final_answer": "-30884/65839", "answer_type": "rational", "kind": "expression", "math_text": "(-28332 + (-2552)) / 65839", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28332, \"b\": -2552, \"c\": 65839}", "seed": "4862898142493343220", "semantic_fingerprint": "sha256:bd70c7d9436facf290b3c94056e822d2bc8db3412d0ca933e05c62d544377582", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005238", "prompt": "Solve for x: -40(x + 2796) - 46382 = 18(x - 8919)", "solution_steps": ["Expand: -40x - 111840 - 46382 = 18(x - 8919)", "Expand: -40x - 111840 - 46382 = 18x - 160542", "Combine constants: -40x - 158222 = 18x - 160542", "Subtract 18x from both sides: -58x - 158222 = -160542", "Add 158222 to both sides: -58x = -2320", "Divide both sides by -58: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40(x + 2796) - 46382 = 18(x - 8919)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 2796, \"c\": 18, \"d\": 8919, \"f\": -46382, \"x\": 40}", "seed": "3843461718995925179", "semantic_fingerprint": "sha256:14e887c1ad3fbe1fd147e1b6063d264129005b9426d127d21ddb863691d685be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005239", "prompt": "Evaluate: -4516 * 8539 / (-9443)", "solution_steps": ["Multiply: -4516 * 8539 = -38562124", "Divide: -38562124 / (-9443) = 38562124/9443"], "final_answer": "38562124/9443", "answer_type": "rational", "kind": "expression", "math_text": "-4516 * 8539 / (-9443)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4516, \"b\": 8539, \"c\": -9443}", "seed": "5266290792248606110", "semantic_fingerprint": "sha256:0fc7d04bd48dd9762259bbe27ff725e85d895110401ccb8324acfd825708234c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005240", "prompt": "What is 57941 + 2747 * (-38296)?", "solution_steps": ["Multiply: 2747 * (-38296) = -105199112", "Add: 57941 + (-105199112) = -105141171"], "final_answer": "-105141171", "answer_type": "integer", "kind": "expression", "math_text": "57941 + 2747 * (-38296)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57941, \"b\": 2747, \"c\": -38296}", "seed": "1147063281702059566", "semantic_fingerprint": "sha256:126aab5419fdbf3b26358c14e81508ea2b703db0f8dfa09ff9168dc6922e82cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005241", "prompt": "Compute: -3802 + (-30506)", "solution_steps": ["Add: -3802 + (-30506) = -34308"], "final_answer": "-34308", "answer_type": "integer", "kind": "expression", "math_text": "-3802 + (-30506)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3802, \"b\": -30506}", "seed": "11450947117473908434", "semantic_fingerprint": "sha256:3a718974362b3c4d9a9d2d403d258669138ce916b4dbec6542ee8bbf55d72f71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005242", "prompt": "What value of x satisfies x = -25(x + 99726) - 7462?", "solution_steps": ["Expand: x = -25x - 2493150 - 7462", "Combine constants: x = -25x - 2500612", "Add 25x to both sides: 26x = -2500612", "Divide both sides by 26: x = -1250306/13"], "final_answer": "-1250306/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -25(x + 99726) - 7462", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 99726, \"c\": 7462}", "seed": "11374488941060586511", "semantic_fingerprint": "sha256:2e4b722f3e157cb2c23bbdd2eb99a13ba256a36f0f0a2ff255ab79fdf852f9ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005243", "prompt": "Calculate: 6842 * (8451 + 1239)", "solution_steps": ["Add: 8451 + 1239 = 9690", "Multiply: 6842 * 9690 = 66298980"], "final_answer": "66298980", "answer_type": "integer", "kind": "expression", "math_text": "6842 * (8451 + 1239)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6842, \"b\": 8451, \"c\": 1239}", "seed": "780601933505144034", "semantic_fingerprint": "sha256:1114caa88971dde47d9fbc5740a9457725a3fd6ee3f4980ff07fd4c47a46ed57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005244", "prompt": "Find x: 13(x - 5085) = x - 65205", "solution_steps": ["Expand: 13x - 66105 = x - 65205", "Subtract x from both sides: 12x - 66105 = -65205", "Add 66105 to both sides: 12x = 900", "Divide both sides by 12: x = 75"], "final_answer": "75", "answer_type": "integer", "kind": "linear_equation", "math_text": "13(x - 5085) = x - 65205", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 5085, \"d\": -65205, \"x\": 75}", "seed": "7070737564769631002", "semantic_fingerprint": "sha256:a32359d5d6ed6e9eaf4fcd430f686001711062a3da2e6b5179f397db24b6c8b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005245", "prompt": "What value of x satisfies -35(x + 21067) = 31x?", "solution_steps": ["Expand: -35x - 737345 = 31x", "Subtract 31x from both sides: -66x - 737345 = 0", "Add 737345 to both sides: -66x = 737345", "Divide both sides by -66: x = -737345/66"], "final_answer": "-737345/66", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x + 21067) = 31x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 21067, \"c\": 31}", "seed": "9668143530994256632", "semantic_fingerprint": "sha256:6ade2f390af57294a9c9b4f8578b6eb2feb97e938b30a61cfc854f03609e7a61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005246", "prompt": "Solve for x: 33x - 90013 = -22(x + 4149)", "solution_steps": ["Expand: 33x - 90013 = -22x - 91278", "Add 22x to both sides: 55x - 90013 = -91278", "Add 90013 to both sides: 55x = -1265", "Divide both sides by 55: x = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x - 90013 = -22(x + 4149)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": -22, \"c\": 4149, \"e\": -90013, \"x\": -23}", "seed": "10805224744519253416", "semantic_fingerprint": "sha256:c629f9691b9dd2a9393fc15b29a18e8ffc51d2e9934d79022ed6cc8ff2f4bf67", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005247", "prompt": "Calculate: 91381 + 9306 * 44388 + (-8761) + (-4616)", "solution_steps": ["Multiply: 9306 * 44388 = 413074728", "Add: 91381 + 413074728 = 413166109", "Add: 413166109 + (-8761) = 413157348", "Add: 413157348 + (-4616) = 413152732"], "final_answer": "413152732", "answer_type": "integer", "kind": "expression", "math_text": "91381 + 9306 * 44388 + (-8761) + (-4616)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 91381, \"b\": 9306, \"c\": 44388, \"d\": -8761, \"e\": -4616}", "seed": "73790886302808837", "semantic_fingerprint": "sha256:f22c68d2195cf35111b34fcdc02d28df23abf0fde8233a73f9819a0f17262cd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005248", "prompt": "Compute: 4614 - (-37677)", "solution_steps": ["Subtract: 4614 - (-37677) = 42291"], "final_answer": "42291", "answer_type": "integer", "kind": "expression", "math_text": "4614 - (-37677)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4614, \"b\": -37677}", "seed": "10510225424404281945", "semantic_fingerprint": "sha256:71fcfa25e74f0e910b3d320639e0839c5d8c7161e0a109ee589f9464aeef93d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005249", "prompt": "Find x: x + 4862 = 25x + 3782", "solution_steps": ["Subtract 25x from both sides: -24x + 4862 = 3782", "Subtract 4862 from both sides: -24x = -1080", "Divide both sides by -24: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4862 = 25x + 3782", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4862, \"b\": 25, \"d\": 3782, \"x\": 45}", "seed": "1400132002236320446", "semantic_fingerprint": "sha256:4f4aeb8b15e6ae7604ec67aae486e025bca988c92f63e1bcbc86609fcf61d2c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005250", "prompt": "What is -46370 / (3400 - 9398)?", "solution_steps": ["Subtract: 3400 - 9398 = -5998", "Divide: -46370 / (-5998) = 23185/2999"], "final_answer": "23185/2999", "answer_type": "rational", "kind": "expression", "math_text": "-46370 / (3400 - 9398)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -46370, \"b\": 3400, \"c\": 9398}", "seed": "15509356381114169550", "semantic_fingerprint": "sha256:f13d1b668424063d57333873cc2a196a9a8dfbec725a34c6ece3086f9a7c0715", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005251", "prompt": "Calculate: -1969 + (-61656) - (-8681) - (-6714)", "solution_steps": ["Add: -1969 + (-61656) = -63625", "Subtract: -63625 - (-8681) = -54944", "Subtract: -54944 - (-6714) = -48230"], "final_answer": "-48230", "answer_type": "integer", "kind": "expression", "math_text": "-1969 + (-61656) - (-8681) - (-6714)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1969, \"b\": -61656, \"c\": -8681, \"d\": -6714}", "seed": "16201692611171164336", "semantic_fingerprint": "sha256:a9465640bb81f259b61582e589e4d7b1cedc0898b941c08a1d303ba3d8a7152f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005252", "prompt": "Evaluate: 56443 - 3331", "solution_steps": ["Subtract: 56443 - 3331 = 53112"], "final_answer": "53112", "answer_type": "integer", "kind": "expression", "math_text": "56443 - 3331", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 56443, \"b\": 3331}", "seed": "6879523747949092163", "semantic_fingerprint": "sha256:95a755f1dbaecf9f5dd4f2e1183fa5726804bf95552df1fd0e5a642ee5cf4234", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005253", "prompt": "Evaluate: 7910 * (6232 + (-4581 + (-4198)))", "solution_steps": ["Add: -4581 + (-4198) = -8779", "Add: 6232 + (-8779) = -2547", "Multiply: 7910 * (-2547) = -20146770"], "final_answer": "-20146770", "answer_type": "integer", "kind": "expression", "math_text": "7910 * (6232 + (-4581 + (-4198)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7910, \"b\": 6232, \"c\": -4581, \"d\": -4198}", "seed": "16686045018569453576", "semantic_fingerprint": "sha256:4a0f997a58e1996edb7eac87ad423fe1f4b945d94eb73acde574efed4c402378", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005254", "prompt": "Evaluate: 39246 - (-71610) - 8332", "solution_steps": ["Subtract: 39246 - (-71610) = 110856", "Subtract: 110856 - 8332 = 102524"], "final_answer": "102524", "answer_type": "integer", "kind": "expression", "math_text": "39246 - (-71610) - 8332", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39246, \"b\": -71610, \"c\": 8332}", "seed": "720734390639286608", "semantic_fingerprint": "sha256:1ec5dfa112188d79dfb31b76d1e98ab6a66c41051ff72c298623398dd4299659", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005255", "prompt": "What is -6808 + (-26487) * (-83234)?", "solution_steps": ["Multiply: -26487 * (-83234) = 2204618958", "Add: -6808 + 2204618958 = 2204612150"], "final_answer": "2204612150", "answer_type": "integer", "kind": "expression", "math_text": "-6808 + (-26487) * (-83234)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6808, \"b\": -26487, \"c\": -83234}", "seed": "468917507667923135", "semantic_fingerprint": "sha256:5b7e0f99c870ce6ddcf800bd2a43fbb3c356f94c39f692f3111953b70dbd8786", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005256", "prompt": "What is -4027 + (-92151) + (-4115)?", "solution_steps": ["Add: -4027 + (-92151) = -96178", "Add: -96178 + (-4115) = -100293"], "final_answer": "-100293", "answer_type": "integer", "kind": "expression", "math_text": "-4027 + (-92151) + (-4115)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4027, \"b\": -92151, \"c\": -4115}", "seed": "17552151461273557421", "semantic_fingerprint": "sha256:6641e255dcecab1fe07964f2ed8e6444f807fbbe3f47425ce4c01365ba851544", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005257", "prompt": "Solve the equation 34(x - 85244) + 4185 = -2097 for x.", "solution_steps": ["Expand: 34x - 2898296 + 4185 = -2097", "Combine constants: 34x - 2894111 = -2097", "Add 2894111 to both sides: 34x = 2892014", "Divide both sides by 34: x = 1446007/17"], "final_answer": "1446007/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 85244) + 4185 = -2097", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 85244, \"c\": 4185, \"d\": -2097}", "seed": "8344531897485097428", "semantic_fingerprint": "sha256:4c6195d552886dc3501d674dea5c64c6c151b20c0646d29cbc2749aa3afb6215", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005258", "prompt": "What is (-9465 - (-7721)) / (-7062)?", "solution_steps": ["Subtract: -9465 - (-7721) = -1744", "Divide: -1744 / (-7062) = 872/3531"], "final_answer": "872/3531", "answer_type": "rational", "kind": "expression", "math_text": "(-9465 - (-7721)) / (-7062)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9465, \"b\": -7721, \"c\": -7062}", "seed": "9471621820372046220", "semantic_fingerprint": "sha256:8a1f94e4bb4e6365299e828de2879c121cc715b60f56b662b04374ab6e82876a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005259", "prompt": "Evaluate: -6291 - (17406 + (-20700))", "solution_steps": ["Add: 17406 + (-20700) = -3294", "Subtract: -6291 - (-3294) = -2997"], "final_answer": "-2997", "answer_type": "integer", "kind": "expression", "math_text": "-6291 - (17406 + (-20700))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6291, \"b\": 17406, \"c\": -20700}", "seed": "1332809555430056997", "semantic_fingerprint": "sha256:cc35bfc2db99a5ca8437ac61cff689be27818151220f11a54a8a56b3ed6b25a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005260", "prompt": "Compute: (-2808 - (2895 - 99392)) / (-4504 / (27449 + 87399))", "solution_steps": ["Subtract: 2895 - 99392 = -96497", "Subtract: -2808 - (-96497) = 93689", "Add: 27449 + 87399 = 114848", "Divide: -4504 / 114848 = -563/14356", "Divide: 93689 / (-563/14356) = -1344999284/563"], "final_answer": "-1344999284/563", "answer_type": "rational", "kind": "expression", "math_text": "(-2808 - (2895 - 99392)) / (-4504 / (27449 + 87399))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2808, \"b\": 2895, \"c\": 99392, \"d\": -4504, \"e\": 27449, \"f\": 87399}", "seed": "5965573836847506982", "semantic_fingerprint": "sha256:0c722155f465b1d915146f89928baef05dad13234dc4c7596889cf680444eaad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005261", "prompt": "Compute: 6733 * 52223", "solution_steps": ["Multiply: 6733 * 52223 = 351617459"], "final_answer": "351617459", "answer_type": "integer", "kind": "expression", "math_text": "6733 * 52223", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6733, \"b\": 52223}", "seed": "3183310299614182851", "semantic_fingerprint": "sha256:3277c3dc418d8e8622a3616d8635a860d492858fd70e75002447b7ee025dab70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005262", "prompt": "What is 27502 + (-5195) / 5275 + (-9308)?", "solution_steps": ["Divide: -5195 / 5275 = -1039/1055", "Add: 27502 + (-1039/1055) = 29013571/1055", "Add: 29013571/1055 + (-9308) = 19193631/1055"], "final_answer": "19193631/1055", "answer_type": "rational", "kind": "expression", "math_text": "27502 + (-5195) / 5275 + (-9308)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27502, \"b\": -5195, \"c\": 5275, \"d\": -9308}", "seed": "2229555417912257148", "semantic_fingerprint": "sha256:5c150a1802099eca7ab56651e405dc2211490dfc4693b42fa92ecd7797eb952e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005263", "prompt": "Calculate: (-7375 + (-9194)) / (4832 - (-7461))", "solution_steps": ["Add: -7375 + (-9194) = -16569", "Subtract: 4832 - (-7461) = 12293", "Divide: -16569 / 12293 = -16569/12293"], "final_answer": "-16569/12293", "answer_type": "rational", "kind": "expression", "math_text": "(-7375 + (-9194)) / (4832 - (-7461))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7375, \"b\": -9194, \"c\": 4832, \"d\": -7461}", "seed": "5775757930652918487", "semantic_fingerprint": "sha256:3ed9b991ebd8acc0c7d6a4ff05544afa7bcb4e69c99881467d0e49acad6de2bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005264", "prompt": "Compute: 2982 - (-43066 + 25698 + (-9770))", "solution_steps": ["Add: -43066 + 25698 = -17368", "Add: -17368 + (-9770) = -27138", "Subtract: 2982 - (-27138) = 30120"], "final_answer": "30120", "answer_type": "integer", "kind": "expression", "math_text": "2982 - (-43066 + 25698 + (-9770))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2982, \"b\": -43066, \"c\": 25698, \"d\": -9770}", "seed": "575909328476818344", "semantic_fingerprint": "sha256:1606afb46f9c4b93bf7ced767a96efc55fc0cc1c808f2aea741fb5b6e1d29b04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005265", "prompt": "Solve the equation -29(x - 86002) = x for x.", "solution_steps": ["Expand: -29x + 2494058 = x", "Subtract x from both sides: -30x + 2494058 = 0", "Subtract 2494058 from both sides: -30x = -2494058", "Divide both sides by -30: x = 1247029/15"], "final_answer": "1247029/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x - 86002) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 86002}", "seed": "10095278554171434918", "semantic_fingerprint": "sha256:5c383076eb80bbdca22364310f5e0bf3aafab0f62cb1ee9681f8448dcff7bb82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005266", "prompt": "What is 7381 - 9944 - (-52412)?", "solution_steps": ["Subtract: 7381 - 9944 = -2563", "Subtract: -2563 - (-52412) = 49849"], "final_answer": "49849", "answer_type": "integer", "kind": "expression", "math_text": "7381 - 9944 - (-52412)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7381, \"b\": 9944, \"c\": -52412}", "seed": "13460036028886535453", "semantic_fingerprint": "sha256:6af9911aca7808297bbcd91c622b64688fe1c24c184f9a14a77f8ea260fba1bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005267", "prompt": "What value of x satisfies x = 37(x + 75375) - 1174?", "solution_steps": ["Expand: x = 37x + 2788875 - 1174", "Combine constants: x = 37x + 2787701", "Subtract 37x from both sides: -36x = 2787701", "Divide both sides by -36: x = -2787701/36"], "final_answer": "-2787701/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 37(x + 75375) - 1174", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 75375, \"c\": 1174}", "seed": "13209654339413319458", "semantic_fingerprint": "sha256:1da5571789a7d67e8f20d6407b6befa536fd1124f37e669585cb4a45a4a06c38", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005268", "prompt": "Solve the equation 23x + 2552 = x for x.", "solution_steps": ["Subtract x from both sides: 22x + 2552 = 0", "Subtract 2552 from both sides: 22x = -2552", "Divide both sides by 22: x = -116"], "final_answer": "-116", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x + 2552 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"c\": 2552, \"x\": -116}", "seed": "12600902795833437809", "semantic_fingerprint": "sha256:f81aa3d7c00209d5b7aa10f83a4888e87f8b3102c5cdfce654913c2ad4f42ce8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005269", "prompt": "Evaluate: 1747 + (-20382 - (-7874))", "solution_steps": ["Subtract: -20382 - (-7874) = -12508", "Add: 1747 + (-12508) = -10761"], "final_answer": "-10761", "answer_type": "integer", "kind": "expression", "math_text": "1747 + (-20382 - (-7874))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1747, \"b\": -20382, \"c\": -7874}", "seed": "4857371673741424719", "semantic_fingerprint": "sha256:aa20b19d5a4ab18212de5b12ab5b4526e04646743f4224653c5c95c1d4158488", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005270", "prompt": "Calculate: 53380 / ((-3561 + (-19608)) / (-81404 + (31644 + (-39552))))", "solution_steps": ["Add: -3561 + (-19608) = -23169", "Add: 31644 + (-39552) = -7908", "Add: -81404 + (-7908) = -89312", "Divide: -23169 / (-89312) = 23169/89312", "Divide: 53380 / (23169/89312) = 4767474560/23169"], "final_answer": "4767474560/23169", "answer_type": "rational", "kind": "expression", "math_text": "53380 / ((-3561 + (-19608)) / (-81404 + (31644 + (-39552))))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (+ n n) (+ n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 53380, \"b\": -3561, \"c\": -19608, \"d\": -81404, \"e\": 31644, \"f\": -39552}", "seed": "2918474070014737869", "semantic_fingerprint": "sha256:31eb01eb0579a2bfb91d12614a7b7427592c8f031712da1c0ef28b8902af9d0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005271", "prompt": "Evaluate: 6465 / (-96665) + (-85355 - 7063)", "solution_steps": ["Divide: 6465 / (-96665) = -1293/19333", "Subtract: -85355 - 7063 = -92418", "Add: -1293/19333 + (-92418) = -1786718487/19333"], "final_answer": "-1786718487/19333", "answer_type": "rational", "kind": "expression", "math_text": "6465 / (-96665) + (-85355 - 7063)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6465, \"b\": -96665, \"c\": -85355, \"d\": 7063}", "seed": "8681693844423865065", "semantic_fingerprint": "sha256:6fc0d1a2cbe121f7f09856ad000aa8334caf34ae6ae87f672bbf3519176df705", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005272", "prompt": "Find x: x - 88545 = 18(x - 1718) - 56584", "solution_steps": ["Expand: x - 88545 = 18x - 30924 - 56584", "Combine constants: x - 88545 = 18x - 87508", "Subtract 18x from both sides: -17x - 88545 = -87508", "Add 88545 to both sides: -17x = 1037", "Divide both sides by -17: x = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 88545 = 18(x - 1718) - 56584", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 88545, \"b\": 18, \"c\": 1718, \"e\": -56584, \"x\": -61}", "seed": "4037167469391959990", "semantic_fingerprint": "sha256:51bccab3c554fe083ffdf2a08b0cc7cd8290b20f557094ba91316d529d032216", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005273", "prompt": "Solve the equation x + 84723 = -40x + 80910 for x.", "solution_steps": ["Add 40x to both sides: 41x + 84723 = 80910", "Subtract 84723 from both sides: 41x = -3813", "Divide both sides by 41: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 84723 = -40x + 80910", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84723, \"b\": -40, \"d\": 80910, \"x\": -93}", "seed": "5955703844072999692", "semantic_fingerprint": "sha256:9040daf882f65c9c0f7803e9c3d61a1abbb20ce535ae4cd3de0bfad98537ad4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005274", "prompt": "Evaluate: -67661 / 2430 + (5240 + (-83877))", "solution_steps": ["Divide: -67661 / 2430 = -67661/2430", "Add: 5240 + (-83877) = -78637", "Add: -67661/2430 + (-78637) = -191155571/2430"], "final_answer": "-191155571/2430", "answer_type": "rational", "kind": "expression", "math_text": "-67661 / 2430 + (5240 + (-83877))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -67661, \"b\": 2430, \"c\": 5240, \"d\": -83877}", "seed": "6911797093789506844", "semantic_fingerprint": "sha256:22b4b1cff434189b60b1a362640af800deac8d0bdcaf51633362cd90f6b761f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005275", "prompt": "What is 9845 / (96713 / (-71017))?", "solution_steps": ["Divide: 96713 / (-71017) = -96713/71017", "Divide: 9845 / (-96713/71017) = -699162365/96713"], "final_answer": "-699162365/96713", "answer_type": "rational", "kind": "expression", "math_text": "9845 / (96713 / (-71017))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9845, \"b\": 96713, \"c\": -71017}", "seed": "11092168956471566487", "semantic_fingerprint": "sha256:1c8f0eed0bc8c7d2288e6c96b1ea757c0502624ebf8f10b9f8b2d01a65e9ade7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005276", "prompt": "Calculate: 8749 * (-3527 * (-4379))", "solution_steps": ["Multiply: -3527 * (-4379) = 15444733", "Multiply: 8749 * 15444733 = 135125969017"], "final_answer": "135125969017", "answer_type": "integer", "kind": "expression", "math_text": "8749 * (-3527 * (-4379))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8749, \"b\": -3527, \"c\": -4379}", "seed": "10080574515114968270", "semantic_fingerprint": "sha256:a18b6234961543b300acbb9fba5440ba0149acc48c7be67b3b177914c7f09e0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005277", "prompt": "Find x: 31x - 25507 = -20206", "solution_steps": ["Add 25507 to both sides: 31x = 5301", "Divide both sides by 31: x = 171"], "final_answer": "171", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x - 25507 = -20206", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 25507, \"d\": -20206, \"x\": 171}", "seed": "12916104144922157401", "semantic_fingerprint": "sha256:6396ef1aa6e4607376eb5e3f1444139a69ace826c68f81a8b15ddd97fc9686f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005278", "prompt": "Evaluate: -3268 / (-7006)", "solution_steps": ["Divide: -3268 / (-7006) = 1634/3503"], "final_answer": "1634/3503", "answer_type": "rational", "kind": "expression", "math_text": "-3268 / (-7006)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3268, \"b\": -7006}", "seed": "757839779660348788", "semantic_fingerprint": "sha256:dc26e8f82ed6c7160557cdb6156f2551fe5c2d0796121c806f3d675d777b5de5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005279", "prompt": "Solve for x: 25x = 33x", "solution_steps": ["Subtract 33x from both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x = 33x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 33}", "seed": "13586900130149691586", "semantic_fingerprint": "sha256:89d929b73771265c3deb068ac04105a2946e6cc18091b12f20df2c9366c1d248", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005280", "prompt": "Compute: -6475 * (-6277)", "solution_steps": ["Multiply: -6475 * (-6277) = 40643575"], "final_answer": "40643575", "answer_type": "integer", "kind": "expression", "math_text": "-6475 * (-6277)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6475, \"b\": -6277}", "seed": "11514517283891319657", "semantic_fingerprint": "sha256:69823ac2ccf67cbb4877ef747bad7ddce9020c2438aeca93a5c327330182e046", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005281", "prompt": "Solve the equation 29(x + 71019) = 18(x - 2144) for x.", "solution_steps": ["Expand: 29x + 2059551 = 18(x - 2144)", "Expand: 29x + 2059551 = 18x - 38592", "Subtract 18x from both sides: 11x + 2059551 = -38592", "Subtract 2059551 from both sides: 11x = -2098143", "Divide both sides by 11: x = -2098143/11"], "final_answer": "-2098143/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 71019) = 18(x - 2144)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 71019, \"c\": 18, \"d\": 2144}", "seed": "4344032921866499867", "semantic_fingerprint": "sha256:471af4080b32cef3ac1aa4b4142abfc73f13738ac4aa7e68a708e66b99a5f335", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005282", "prompt": "Solve the equation 39(x + 36443) - 92171 = 16(x + 1677) + 4943 for x.", "solution_steps": ["Expand: 39x + 1421277 - 92171 = 16(x + 1677) + 4943", "Expand: 39x + 1421277 - 92171 = 16x + 26832 + 4943", "Combine constants: 39x + 1329106 = 16x + 26832 + 4943", "Combine constants: 39x + 1329106 = 16x + 31775", "Subtract 16x from both sides: 23x + 1329106 = 31775", "Subtract 1329106 from both sides: 23x = -1297331", "Divide both sides by 23: x = -1297331/23"], "final_answer": "-1297331/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 36443) - 92171 = 16(x + 1677) + 4943", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 36443, \"c\": 92171, \"d\": 16, \"e\": 1677, \"f\": 4943}", "seed": "5367088144888918260", "semantic_fingerprint": "sha256:51b897db0b7e2fcb25fcfeca6e7a993598c48e4dbf3cfbcb75d1ee4ba25d9374", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005283", "prompt": "Evaluate: -1644 * (-9435)", "solution_steps": ["Multiply: -1644 * (-9435) = 15511140"], "final_answer": "15511140", "answer_type": "integer", "kind": "expression", "math_text": "-1644 * (-9435)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1644, \"b\": -9435}", "seed": "6086652718501364933", "semantic_fingerprint": "sha256:20c6ac5f106e58916bec18dd60d3d298b1655cc295c72a0e5da943f6356ed784", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005284", "prompt": "Compute: -8898 * (4809 / (-5138) + (-29409))", "solution_steps": ["Divide: 4809 / (-5138) = -687/734", "Add: -687/734 + (-29409) = -21586893/734", "Multiply: -8898 * (-21586893/734) = 96040086957/367"], "final_answer": "96040086957/367", "answer_type": "rational", "kind": "expression", "math_text": "-8898 * (4809 / (-5138) + (-29409))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8898, \"b\": 4809, \"c\": -5138, \"d\": -29409}", "seed": "11654243855104901610", "semantic_fingerprint": "sha256:0040516464be74825f9a80675ca5271fcbe5e7ae92fb65cf2152529b080d51d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005285", "prompt": "Find x: x = 19x", "solution_steps": ["Subtract 19x from both sides: -18x = 0", "Divide both sides by -18: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 19x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19}", "seed": "4310344636282204599", "semantic_fingerprint": "sha256:8d1c2f4ad5790f1b6927fce80453f14d9e80a2661fb2f58dae09b72cae8bb528", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005286", "prompt": "Solve the equation x = 28(x - 4096) + 8804 for x.", "solution_steps": ["Expand: x = 28x - 114688 + 8804", "Combine constants: x = 28x - 105884", "Subtract 28x from both sides: -27x = -105884", "Divide both sides by -27: x = 105884/27"], "final_answer": "105884/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 28(x - 4096) + 8804", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 4096, \"c\": 8804}", "seed": "16699730428586979538", "semantic_fingerprint": "sha256:e1607228483c35cad06c0286e1497663e24625dd24c58232daa04a4f4e47b36d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005287", "prompt": "Compute: -5236 - 41179", "solution_steps": ["Subtract: -5236 - 41179 = -46415"], "final_answer": "-46415", "answer_type": "integer", "kind": "expression", "math_text": "-5236 - 41179", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5236, \"b\": 41179}", "seed": "17893674487144045009", "semantic_fingerprint": "sha256:917169f4b1d72d8fecaf19777caf292621a29d2b49200329ac1dcc8f86675d3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005288", "prompt": "Calculate: 35776 - 4061 * (-76804)", "solution_steps": ["Multiply: 4061 * (-76804) = -311901044", "Subtract: 35776 - (-311901044) = 311936820"], "final_answer": "311936820", "answer_type": "integer", "kind": "expression", "math_text": "35776 - 4061 * (-76804)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35776, \"b\": 4061, \"c\": -76804}", "seed": "12397052759004683352", "semantic_fingerprint": "sha256:d8ebc4d408a41cd50beafa9558f5af3b7793ea37ce1ec37460e87dee667255d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005289", "prompt": "Solve the equation x = -22(x + 5477) for x.", "solution_steps": ["Expand: x = -22x - 120494", "Add 22x to both sides: 23x = -120494", "Divide both sides by 23: x = -120494/23"], "final_answer": "-120494/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -22(x + 5477)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 5477}", "seed": "8393857569456038911", "semantic_fingerprint": "sha256:ed06a560a2dcf86e7a312a40336252e199efc419865d62b73e58bd0898237707", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005290", "prompt": "Compute: -1551 - 64517", "solution_steps": ["Subtract: -1551 - 64517 = -66068"], "final_answer": "-66068", "answer_type": "integer", "kind": "expression", "math_text": "-1551 - 64517", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1551, \"b\": 64517}", "seed": "3414396970399194798", "semantic_fingerprint": "sha256:35cc20b390c322341ece9b9950a37cf8adbb4d3509ac3f962a37f0baee3c78cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005291", "prompt": "Compute: (-3349 + (-7304)) / 7191", "solution_steps": ["Add: -3349 + (-7304) = -10653", "Divide: -10653 / 7191 = -3551/2397"], "final_answer": "-3551/2397", "answer_type": "rational", "kind": "expression", "math_text": "(-3349 + (-7304)) / 7191", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3349, \"b\": -7304, \"c\": 7191}", "seed": "4325846588749557642", "semantic_fingerprint": "sha256:b916d2d8dc8d40cf2f6b7bcb8083fad65e84399e12c760c7b14d642bd7303507", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005292", "prompt": "Evaluate: -5282 / 68955", "solution_steps": ["Divide: -5282 / 68955 = -5282/68955"], "final_answer": "-5282/68955", "answer_type": "rational", "kind": "expression", "math_text": "-5282 / 68955", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5282, \"b\": 68955}", "seed": "13907080029463602039", "semantic_fingerprint": "sha256:4289c18e5c46882d5e5c5fcd115aafd3d53ab12af08ed5a6c18943b98b3ca6d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005293", "prompt": "What is 3840 + (-80529) - 91448 - (-2493) * 4069?", "solution_steps": ["Add: 3840 + (-80529) = -76689", "Subtract: -76689 - 91448 = -168137", "Multiply: -2493 * 4069 = -10144017", "Subtract: -168137 - (-10144017) = 9975880"], "final_answer": "9975880", "answer_type": "integer", "kind": "expression", "math_text": "3840 + (-80529) - 91448 - (-2493) * 4069", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3840, \"b\": -80529, \"c\": 91448, \"d\": -2493, \"e\": 4069}", "seed": "12211024934086818321", "semantic_fingerprint": "sha256:996b908549d428fa52ccfba51cc2b5ff2eb6129e8b311d81d44c3bb446a3d225", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005294", "prompt": "Calculate: 7638 + (1912 - (-2132)) - (-79732) - 32571", "solution_steps": ["Subtract: 1912 - (-2132) = 4044", "Add: 7638 + 4044 = 11682", "Subtract: 11682 - (-79732) = 91414", "Subtract: 91414 - 32571 = 58843"], "final_answer": "58843", "answer_type": "integer", "kind": "expression", "math_text": "7638 + (1912 - (-2132)) - (-79732) - 32571", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7638, \"b\": 1912, \"c\": -2132, \"d\": -79732, \"e\": 32571}", "seed": "5469095642839525656", "semantic_fingerprint": "sha256:0023cb20a90723294b062984421068ede34796400392516105d2f52d5e2a23f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005295", "prompt": "Compute: 2134 - (2352 / 6065 - 2683)", "solution_steps": ["Divide: 2352 / 6065 = 2352/6065", "Subtract: 2352/6065 - 2683 = -16270043/6065", "Subtract: 2134 - (-16270043/6065) = 29212753/6065"], "final_answer": "29212753/6065", "answer_type": "rational", "kind": "expression", "math_text": "2134 - (2352 / 6065 - 2683)", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2134, \"b\": 2352, \"c\": 6065, \"d\": 2683}", "seed": "16033311134483389220", "semantic_fingerprint": "sha256:43cf85f9ffdd52839ab0405b5d350db0fb6bb64485cd51afaad39fdda1f95191", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005296", "prompt": "Calculate: -16640 / (-8488)", "solution_steps": ["Divide: -16640 / (-8488) = 2080/1061"], "final_answer": "2080/1061", "answer_type": "rational", "kind": "expression", "math_text": "-16640 / (-8488)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -16640, \"b\": -8488}", "seed": "8197783409027392455", "semantic_fingerprint": "sha256:a4ac524e400e8da6c82e5b9a3d1960cc2e0164a1a44227f95b07e3809c0b20d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005297", "prompt": "Compute: 7335 * (67658 + (-5709)) + 6217", "solution_steps": ["Add: 67658 + (-5709) = 61949", "Multiply: 7335 * 61949 = 454395915", "Add: 454395915 + 6217 = 454402132"], "final_answer": "454402132", "answer_type": "integer", "kind": "expression", "math_text": "7335 * (67658 + (-5709)) + 6217", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7335, \"b\": 67658, \"c\": -5709, \"d\": 6217}", "seed": "2608609892182445368", "semantic_fingerprint": "sha256:7dd3688d7bb554fa5c53d54537e5560bb8ceca82ca0f3bfb1435ea9136db933d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005298", "prompt": "Calculate: (13873 + (-6272 + 3539)) / (-4670)", "solution_steps": ["Add: -6272 + 3539 = -2733", "Add: 13873 + (-2733) = 11140", "Divide: 11140 / (-4670) = -1114/467"], "final_answer": "-1114/467", "answer_type": "rational", "kind": "expression", "math_text": "(13873 + (-6272 + 3539)) / (-4670)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13873, \"b\": -6272, \"c\": 3539, \"d\": -4670}", "seed": "8852183123386431352", "semantic_fingerprint": "sha256:51aaf661470a5b0af3d807c24dfae91813d71122d2a639b8818c58e22ce8c4d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005299", "prompt": "Calculate: -18805 - (-89171) / (-7721)", "solution_steps": ["Divide: -89171 / (-7721) = 89171/7721", "Subtract: -18805 - 89171/7721 = -145282576/7721"], "final_answer": "-145282576/7721", "answer_type": "rational", "kind": "expression", "math_text": "-18805 - (-89171) / (-7721)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18805, \"b\": -89171, \"c\": -7721}", "seed": "6405474281887684921", "semantic_fingerprint": "sha256:5060f0f5423e48e41863e4a78939765837bddb67966cf6651a0fb2773eb26c40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005300", "prompt": "What is 8434 / 31332 - (-37122)?", "solution_steps": ["Divide: 8434 / 31332 = 4217/15666", "Subtract: 4217/15666 - (-37122) = 581557469/15666"], "final_answer": "581557469/15666", "answer_type": "rational", "kind": "expression", "math_text": "8434 / 31332 - (-37122)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8434, \"b\": 31332, \"c\": -37122}", "seed": "4479966239221674465", "semantic_fingerprint": "sha256:5c91ba7d7eba8764d333e742dc1635971f7c5c637d938e9304488dff5c94be81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005301", "prompt": "Find x: 19x + 6581 = 26(x + 2070) - 46378", "solution_steps": ["Expand: 19x + 6581 = 26x + 53820 - 46378", "Combine constants: 19x + 6581 = 26x + 7442", "Subtract 26x from both sides: -7x + 6581 = 7442", "Subtract 6581 from both sides: -7x = 861", "Divide both sides by -7: x = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 6581 = 26(x + 2070) - 46378", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 6581, \"c\": 26, \"d\": 2070, \"f\": -46378, \"x\": -123}", "seed": "7888160703628712715", "semantic_fingerprint": "sha256:d47546b77eaa362fabad193996c2694b30410e57f06bfd1f440ff9fba2e296e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005302", "prompt": "Compute: -9495 * 93868 + (-4366)", "solution_steps": ["Multiply: -9495 * 93868 = -891276660", "Add: -891276660 + (-4366) = -891281026"], "final_answer": "-891281026", "answer_type": "integer", "kind": "expression", "math_text": "-9495 * 93868 + (-4366)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9495, \"b\": 93868, \"c\": -4366}", "seed": "9767163711437523118", "semantic_fingerprint": "sha256:e8cd99feb12fc39674be079fcddc4eab7b4f8c3196d1fc84478240d8089362ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005303", "prompt": "Compute: -3269 + (3317 + (-37436))", "solution_steps": ["Add: 3317 + (-37436) = -34119", "Add: -3269 + (-34119) = -37388"], "final_answer": "-37388", "answer_type": "integer", "kind": "expression", "math_text": "-3269 + (3317 + (-37436))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3269, \"b\": 3317, \"c\": -37436}", "seed": "9576336916268698044", "semantic_fingerprint": "sha256:876a3ad4a8f9a27927ddd9ab7be3bfc8123a34e4854e8ebe64f2b48a969afa32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005304", "prompt": "Calculate: 1009 * 3831", "solution_steps": ["Multiply: 1009 * 3831 = 3865479"], "final_answer": "3865479", "answer_type": "integer", "kind": "expression", "math_text": "1009 * 3831", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1009, \"b\": 3831}", "seed": "6949610433692952024", "semantic_fingerprint": "sha256:6519af5c58907a7f426f4dc2631f6c94ad36e090c678094cf4d21c68871b11d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005305", "prompt": "Solve for x: 36(x - 5325) + 10363 = x - 76864", "solution_steps": ["Expand: 36x - 191700 + 10363 = x - 76864", "Combine constants: 36x - 181337 = x - 76864", "Subtract x from both sides: 35x - 181337 = -76864", "Add 181337 to both sides: 35x = 104473", "Divide both sides by 35: x = 104473/35"], "final_answer": "104473/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 5325) + 10363 = x - 76864", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 5325, \"c\": 10363, \"d\": 76864}", "seed": "13343431985279537461", "semantic_fingerprint": "sha256:8ea1abce8b178a9af8176076bc60b27cf568197a6b4360e4502e5f3e381d314b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005306", "prompt": "Calculate: (-9442 - (-10193)) * (7583 - (-36601) - 6949)", "solution_steps": ["Subtract: -9442 - (-10193) = 751", "Subtract: 7583 - (-36601) = 44184", "Subtract: 44184 - 6949 = 37235", "Multiply: 751 * 37235 = 27963485"], "final_answer": "27963485", "answer_type": "integer", "kind": "expression", "math_text": "(-9442 - (-10193)) * (7583 - (-36601) - 6949)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9442, \"b\": -10193, \"c\": 7583, \"d\": -36601, \"e\": 6949}", "seed": "8587718783631495331", "semantic_fingerprint": "sha256:3bb7bd61799e47f39022387eeedc7e96371ca97c4348e908dd289d6d1799ffd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005307", "prompt": "Find x: 17x + 61165 = 61692", "solution_steps": ["Subtract 61165 from both sides: 17x = 527", "Divide both sides by 17: x = 31"], "final_answer": "31", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 61165 = 61692", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 61165, \"d\": 61692, \"x\": 31}", "seed": "5148602422529121011", "semantic_fingerprint": "sha256:bdb4633758ef42dd6f6809127991702467cbb6bf01d385ab4b5b10397da8fbaa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005308", "prompt": "Calculate: 4155 / (14218 - 23038)", "solution_steps": ["Subtract: 14218 - 23038 = -8820", "Divide: 4155 / (-8820) = -277/588"], "final_answer": "-277/588", "answer_type": "rational", "kind": "expression", "math_text": "4155 / (14218 - 23038)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4155, \"b\": 14218, \"c\": 23038}", "seed": "2456378212586283323", "semantic_fingerprint": "sha256:a188c1a90f2be5503fd671c24c324fa872ca94b2dd4a212364bf50fa72f2bc74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005309", "prompt": "Find x: x - 76762 = 26(x - 2812)", "solution_steps": ["Expand: x - 76762 = 26x - 73112", "Subtract 26x from both sides: -25x - 76762 = -73112", "Add 76762 to both sides: -25x = 3650", "Divide both sides by -25: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 76762 = 26(x - 2812)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2812, \"d\": -76762, \"x\": -146}", "seed": "18285459829029705710", "semantic_fingerprint": "sha256:9c83758dea2db7b1650786451d4f5eb454e827fd6fd713f1783bdbe1998f0207", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005310", "prompt": "What value of x satisfies x - 62413 = 38x - 63634?", "solution_steps": ["Subtract 38x from both sides: -37x - 62413 = -63634", "Add 62413 to both sides: -37x = -1221", "Divide both sides by -37: x = 33"], "final_answer": "33", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 62413 = 38x - 63634", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62413, \"b\": 38, \"d\": -63634, \"x\": 33}", "seed": "1450429530123977535", "semantic_fingerprint": "sha256:6df894f09bfee50f1ce1df15e627b9c7eaa506b75c51e3159c0bf75838d62a31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005311", "prompt": "Calculate: 27111 / (-2638) + (-5763)", "solution_steps": ["Divide: 27111 / (-2638) = -27111/2638", "Add: -27111/2638 + (-5763) = -15229905/2638"], "final_answer": "-15229905/2638", "answer_type": "rational", "kind": "expression", "math_text": "27111 / (-2638) + (-5763)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27111, \"b\": -2638, \"c\": -5763}", "seed": "14553433345166455461", "semantic_fingerprint": "sha256:e36d45049617dc76f9b28b166a69b2b642837744893f1f25420f3ceefe2fe47e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005312", "prompt": "Calculate: (-4353 - (-3365 + (-2165) - (-85866))) * 73857", "solution_steps": ["Add: -3365 + (-2165) = -5530", "Subtract: -5530 - (-85866) = 80336", "Subtract: -4353 - 80336 = -84689", "Multiply: -84689 * 73857 = -6254875473"], "final_answer": "-6254875473", "answer_type": "integer", "kind": "expression", "math_text": "(-4353 - (-3365 + (-2165) - (-85866))) * 73857", "variable": null, "family": "expression_4op", "shape": "(* (- n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4353, \"b\": -3365, \"c\": -2165, \"d\": -85866, \"e\": 73857}", "seed": "4982853510652547851", "semantic_fingerprint": "sha256:586d9b50cab4134f646ad810ea72cf676c736b9c3483c4bad3cd2bc2e04796f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005313", "prompt": "Calculate: (-5436 - (-3377)) * 61336", "solution_steps": ["Subtract: -5436 - (-3377) = -2059", "Multiply: -2059 * 61336 = -126290824"], "final_answer": "-126290824", "answer_type": "integer", "kind": "expression", "math_text": "(-5436 - (-3377)) * 61336", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5436, \"b\": -3377, \"c\": 61336}", "seed": "9668791255515533325", "semantic_fingerprint": "sha256:77bc59a784058bf53fbb7ea34bbbc01f6eaf86eea396a7896256157c4828f30b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005314", "prompt": "What is 7412 - 96699?", "solution_steps": ["Subtract: 7412 - 96699 = -89287"], "final_answer": "-89287", "answer_type": "integer", "kind": "expression", "math_text": "7412 - 96699", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7412, \"b\": 96699}", "seed": "15188607437782880465", "semantic_fingerprint": "sha256:680d9aa81657345ad7ab0e0354d9cfa7646b32b27f88bdb80d2bbf8881350c7a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005315", "prompt": "Find x: -38(x + 76992) = -28(x + 30109)", "solution_steps": ["Expand: -38x - 2925696 = -28(x + 30109)", "Expand: -38x - 2925696 = -28x - 843052", "Add 28x to both sides: -10x - 2925696 = -843052", "Add 2925696 to both sides: -10x = 2082644", "Divide both sides by -10: x = -1041322/5"], "final_answer": "-1041322/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x + 76992) = -28(x + 30109)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 76992, \"c\": -28, \"d\": 30109}", "seed": "15241939441036918433", "semantic_fingerprint": "sha256:5f84fdbd2394a8838154038f76e74f42a1e03d4ba0d85fdd028ffe9add5d1407", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005316", "prompt": "Calculate: -81171 + 2715", "solution_steps": ["Add: -81171 + 2715 = -78456"], "final_answer": "-78456", "answer_type": "integer", "kind": "expression", "math_text": "-81171 + 2715", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -81171, \"b\": 2715}", "seed": "18308933371774274056", "semantic_fingerprint": "sha256:1a5695b003bb14f63602764c25166c7ef11c906f8b29bc18f3665f0898a44082", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005317", "prompt": "What is -52106 + 49361?", "solution_steps": ["Add: -52106 + 49361 = -2745"], "final_answer": "-2745", "answer_type": "integer", "kind": "expression", "math_text": "-52106 + 49361", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -52106, \"b\": 49361}", "seed": "12917029633128264120", "semantic_fingerprint": "sha256:3d5265e041b0958bee2e144350e22366383022b3ea981eb1e72bdc569a26719b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005318", "prompt": "Solve for x: 25(x - 3833) - 6023 = -8935", "solution_steps": ["Expand: 25x - 95825 - 6023 = -8935", "Combine constants: 25x - 101848 = -8935", "Add 101848 to both sides: 25x = 92913", "Divide both sides by 25: x = 92913/25"], "final_answer": "92913/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 3833) - 6023 = -8935", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 3833, \"c\": 6023, \"d\": -8935}", "seed": "9870240792379448571", "semantic_fingerprint": "sha256:8d507ff49f9b3e9365296c241fd399c3e91be78bb70b63ed44a7776fd0194515", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005319", "prompt": "Solve for x: 14(x + 1478) - 5184 = 37x", "solution_steps": ["Expand: 14x + 20692 - 5184 = 37x", "Combine constants: 14x + 15508 = 37x", "Subtract 37x from both sides: -23x + 15508 = 0", "Subtract 15508 from both sides: -23x = -15508", "Divide both sides by -23: x = 15508/23"], "final_answer": "15508/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 1478) - 5184 = 37x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 1478, \"c\": 5184, \"d\": 37}", "seed": "8506216793858106713", "semantic_fingerprint": "sha256:e98ad269cc28a8b39bc7d442eaf16bb41afb4f05f4d9fc70c459cb166e3510b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005320", "prompt": "Compute: -4229 - (-31574 - (-57162))", "solution_steps": ["Subtract: -31574 - (-57162) = 25588", "Subtract: -4229 - 25588 = -29817"], "final_answer": "-29817", "answer_type": "integer", "kind": "expression", "math_text": "-4229 - (-31574 - (-57162))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4229, \"b\": -31574, \"c\": -57162}", "seed": "7164969240731978596", "semantic_fingerprint": "sha256:983ea1792b84a796114b16d6681a92b87dad680a7816b964f9b0f81abed687d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005321", "prompt": "Compute: 78980 - (-3855) * 5259 / (-7034)", "solution_steps": ["Multiply: -3855 * 5259 = -20273445", "Divide: -20273445 / (-7034) = 20273445/7034", "Subtract: 78980 - 20273445/7034 = 535271875/7034"], "final_answer": "535271875/7034", "answer_type": "rational", "kind": "expression", "math_text": "78980 - (-3855) * 5259 / (-7034)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78980, \"b\": -3855, \"c\": 5259, \"d\": -7034}", "seed": "13062849796156193917", "semantic_fingerprint": "sha256:5471db0fec944c26650406506fc798f8d3bc3c8af3aa6885907528821adcd331", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005322", "prompt": "What is 6652 - 5216 * (-9597)?", "solution_steps": ["Multiply: 5216 * (-9597) = -50057952", "Subtract: 6652 - (-50057952) = 50064604"], "final_answer": "50064604", "answer_type": "integer", "kind": "expression", "math_text": "6652 - 5216 * (-9597)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6652, \"b\": 5216, \"c\": -9597}", "seed": "14640716571228096069", "semantic_fingerprint": "sha256:09f34ba23076ad9a06599a37cf37321e5c9472021dcdb205250ac5986e0ce896", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005323", "prompt": "Calculate: (-3293 - (-20224)) * (-54477)", "solution_steps": ["Subtract: -3293 - (-20224) = 16931", "Multiply: 16931 * (-54477) = -922350087"], "final_answer": "-922350087", "answer_type": "integer", "kind": "expression", "math_text": "(-3293 - (-20224)) * (-54477)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3293, \"b\": -20224, \"c\": -54477}", "seed": "17573287419325992950", "semantic_fingerprint": "sha256:1b8957e9a51848a3f3dbf785eade68fa3013915054deedcf8f6812cbd6aa0ead", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005324", "prompt": "Evaluate: 69636 + (-63198) - (-17917)", "solution_steps": ["Add: 69636 + (-63198) = 6438", "Subtract: 6438 - (-17917) = 24355"], "final_answer": "24355", "answer_type": "integer", "kind": "expression", "math_text": "69636 + (-63198) - (-17917)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69636, \"b\": -63198, \"c\": -17917}", "seed": "12241393859720515248", "semantic_fingerprint": "sha256:ffc1ada7f558234d2f0c9cac0b69c6ca0faf74d3a1f8ed3c659107d3e8ef1072", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005325", "prompt": "Solve for x: 27x = -14x", "solution_steps": ["Add 14x to both sides: 41x = 0", "Divide both sides by 41: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x = -14x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": -14}", "seed": "2921136528211777572", "semantic_fingerprint": "sha256:9b53505fb9decb3d0420196e586676b9804205b45c34fa602c9a0525e0d414de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005326", "prompt": "Calculate: -76226 * (13345 - (-5630) - (-5461) + 50847)", "solution_steps": ["Subtract: 13345 - (-5630) = 18975", "Subtract: 18975 - (-5461) = 24436", "Add: 24436 + 50847 = 75283", "Multiply: -76226 * 75283 = -5738521958"], "final_answer": "-5738521958", "answer_type": "integer", "kind": "expression", "math_text": "-76226 * (13345 - (-5630) - (-5461) + 50847)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76226, \"b\": 13345, \"c\": -5630, \"d\": -5461, \"e\": 50847}", "seed": "510730624010712408", "semantic_fingerprint": "sha256:8b6e32067a90185325448fe98f9780b921151923863e39c1922d8501307fec0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005327", "prompt": "Compute: -59123 * (-53495) - (-15037)", "solution_steps": ["Multiply: -59123 * (-53495) = 3162784885", "Subtract: 3162784885 - (-15037) = 3162799922"], "final_answer": "3162799922", "answer_type": "integer", "kind": "expression", "math_text": "-59123 * (-53495) - (-15037)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59123, \"b\": -53495, \"c\": -15037}", "seed": "4242392667381627777", "semantic_fingerprint": "sha256:0922288df3feca48e802b080da189b2e84e6f03ec77cac30ede316324d666189", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005328", "prompt": "Evaluate: -5003 - (-8436)", "solution_steps": ["Subtract: -5003 - (-8436) = 3433"], "final_answer": "3433", "answer_type": "integer", "kind": "expression", "math_text": "-5003 - (-8436)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5003, \"b\": -8436}", "seed": "14837726713697467203", "semantic_fingerprint": "sha256:45b8d0ab9406e7df945318f293a2be42577ffa3ad4cac686d07888acc656d96e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005329", "prompt": "Calculate: 8867 * (5204 / 2989) * 6366", "solution_steps": ["Divide: 5204 / 2989 = 5204/2989", "Multiply: 8867 * (5204/2989) = 46143868/2989", "Multiply: (46143868/2989) * 6366 = 293751863688/2989"], "final_answer": "293751863688/2989", "answer_type": "rational", "kind": "expression", "math_text": "8867 * (5204 / 2989) * 6366", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8867, \"b\": 5204, \"c\": 2989, \"d\": 6366}", "seed": "17837025246400231462", "semantic_fingerprint": "sha256:4eff36913ae47cae6d5325a8f78156d67aed4ea3ccd7ed657a2a57465a530215", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005330", "prompt": "Solve the equation 37(x - 86049) + 94826 = 40(x + 9748) + 6516 for x.", "solution_steps": ["Expand: 37x - 3183813 + 94826 = 40(x + 9748) + 6516", "Expand: 37x - 3183813 + 94826 = 40x + 389920 + 6516", "Combine constants: 37x - 3088987 = 40x + 389920 + 6516", "Combine constants: 37x - 3088987 = 40x + 396436", "Subtract 40x from both sides: -3x - 3088987 = 396436", "Add 3088987 to both sides: -3x = 3485423", "Divide both sides by -3: x = -3485423/3"], "final_answer": "-3485423/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 86049) + 94826 = 40(x + 9748) + 6516", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 86049, \"c\": 94826, \"d\": 40, \"e\": 9748, \"f\": 6516}", "seed": "8265112822615911830", "semantic_fingerprint": "sha256:d820698f4e274baafae6b8be60d555d9d95c4f4b2c761733b8928fff9372a7f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005331", "prompt": "Compute: (7094 + (-57825) * (-3557)) / 3467", "solution_steps": ["Multiply: -57825 * (-3557) = 205683525", "Add: 7094 + 205683525 = 205690619", "Divide: 205690619 / 3467 = 205690619/3467"], "final_answer": "205690619/3467", "answer_type": "rational", "kind": "expression", "math_text": "(7094 + (-57825) * (-3557)) / 3467", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7094, \"b\": -57825, \"c\": -3557, \"d\": 3467}", "seed": "3126421568826056708", "semantic_fingerprint": "sha256:ca20e5d76e0adca8a38fcdb901b5c9db172dee353ec3e69e9cf9492457b5efb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005332", "prompt": "Evaluate: -60465 / 41852 - (3535 - 1564)", "solution_steps": ["Divide: -60465 / 41852 = -60465/41852", "Subtract: 3535 - 1564 = 1971", "Subtract: -60465/41852 - 1971 = -82550757/41852"], "final_answer": "-82550757/41852", "answer_type": "rational", "kind": "expression", "math_text": "-60465 / 41852 - (3535 - 1564)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -60465, \"b\": 41852, \"c\": 3535, \"d\": 1564}", "seed": "9313159153452901335", "semantic_fingerprint": "sha256:cd4c86961100d62e517a94c9d36d0d154d042401b7964b83bd9b28d24fb8612f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005333", "prompt": "Evaluate: 44962 * 80114 / 9203", "solution_steps": ["Multiply: 44962 * 80114 = 3602085668", "Divide: 3602085668 / 9203 = 3602085668/9203"], "final_answer": "3602085668/9203", "answer_type": "rational", "kind": "expression", "math_text": "44962 * 80114 / 9203", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44962, \"b\": 80114, \"c\": 9203}", "seed": "6733418671741330094", "semantic_fingerprint": "sha256:5e3b7a34328baa760e8c6695feb2941467d7c1e2080dbb45bcd58875e0e1d157", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005334", "prompt": "Solve for x: x - 8097 = -19x - 9417", "solution_steps": ["Add 19x to both sides: 20x - 8097 = -9417", "Add 8097 to both sides: 20x = -1320", "Divide both sides by 20: x = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8097 = -19x - 9417", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8097, \"b\": -19, \"d\": -9417, \"x\": -66}", "seed": "13976680309941064551", "semantic_fingerprint": "sha256:1478dc62f14386c2affb8824a7a93ea4e5a7de70207108a98336a659450338b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005335", "prompt": "Solve for x: 16(x + 63340) = 21(x + 30869)", "solution_steps": ["Expand: 16x + 1013440 = 21(x + 30869)", "Expand: 16x + 1013440 = 21x + 648249", "Subtract 21x from both sides: -5x + 1013440 = 648249", "Subtract 1013440 from both sides: -5x = -365191", "Divide both sides by -5: x = 365191/5"], "final_answer": "365191/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 63340) = 21(x + 30869)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 63340, \"c\": 21, \"d\": 30869}", "seed": "796414692385069358", "semantic_fingerprint": "sha256:7aea136e75519d639fe6942c79f7b38a077076e821eb4f496196e7745abf5e8c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005336", "prompt": "Solve for x: 28(x + 2663) = 35(x + 27250)", "solution_steps": ["Expand: 28x + 74564 = 35(x + 27250)", "Expand: 28x + 74564 = 35x + 953750", "Subtract 35x from both sides: -7x + 74564 = 953750", "Subtract 74564 from both sides: -7x = 879186", "Divide both sides by -7: x = -125598"], "final_answer": "-125598", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 2663) = 35(x + 27250)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 2663, \"c\": 35, \"d\": 27250}", "seed": "10133841113246171897", "semantic_fingerprint": "sha256:4397f9bdbabea6d630c40b898a23cab08b0075be7e2f9c88f8c0b03879739e78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005337", "prompt": "Compute: -67185 + 4488 / 2308 + 9846", "solution_steps": ["Divide: 4488 / 2308 = 1122/577", "Add: -67185 + 1122/577 = -38764623/577", "Add: -38764623/577 + 9846 = -33083481/577"], "final_answer": "-33083481/577", "answer_type": "rational", "kind": "expression", "math_text": "-67185 + 4488 / 2308 + 9846", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -67185, \"b\": 4488, \"c\": 2308, \"d\": 9846}", "seed": "6778653199289678852", "semantic_fingerprint": "sha256:7ba0e0be98059442cc81ce839a559dbcdd1bc4de17f9705d846a7b5f0d9c316c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005338", "prompt": "Calculate: -90569 * (7009 - (-9294 - (-67793)))", "solution_steps": ["Subtract: -9294 - (-67793) = 58499", "Subtract: 7009 - 58499 = -51490", "Multiply: -90569 * (-51490) = 4663397810"], "final_answer": "4663397810", "answer_type": "integer", "kind": "expression", "math_text": "-90569 * (7009 - (-9294 - (-67793)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -90569, \"b\": 7009, \"c\": -9294, \"d\": -67793}", "seed": "4453310191317699439", "semantic_fingerprint": "sha256:f44294ba704086c7c4a1aa59aa8dc95f983d93fcaedf727599f57685b14d0bd6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005339", "prompt": "Solve the equation 13x - 73893 = -75895 for x.", "solution_steps": ["Add 73893 to both sides: 13x = -2002", "Divide both sides by 13: x = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x - 73893 = -75895", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 73893, \"d\": -75895, \"x\": -154}", "seed": "7142377221177339149", "semantic_fingerprint": "sha256:f560c9d12e341fb521e3475a83db58c2c4d19d2d2f15b07ac3644b6891afde19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005340", "prompt": "Calculate: -1279 + 1058 * (-54049 * 2175 - 1665)", "solution_steps": ["Multiply: -54049 * 2175 = -117556575", "Subtract: -117556575 - 1665 = -117558240", "Multiply: 1058 * (-117558240) = -124376617920", "Add: -1279 + (-124376617920) = -124376619199"], "final_answer": "-124376619199", "answer_type": "integer", "kind": "expression", "math_text": "-1279 + 1058 * (-54049 * 2175 - 1665)", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- (* n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1279, \"b\": 1058, \"c\": -54049, \"d\": 2175, \"e\": 1665}", "seed": "804665010890553241", "semantic_fingerprint": "sha256:2ed342fad78896319b4ed96b07a2effcfdab7aa43ebf19a1971d0872d66fdc23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005341", "prompt": "Compute: 7592 * (-1283 + 52880)", "solution_steps": ["Add: -1283 + 52880 = 51597", "Multiply: 7592 * 51597 = 391724424"], "final_answer": "391724424", "answer_type": "integer", "kind": "expression", "math_text": "7592 * (-1283 + 52880)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7592, \"b\": -1283, \"c\": 52880}", "seed": "10636778584337606847", "semantic_fingerprint": "sha256:62c9b1c508fa7cfd56924c27e938348acbe223e7d14faef896201a9f332a4336", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005342", "prompt": "Evaluate: 27653 - (6914 + 3442)", "solution_steps": ["Add: 6914 + 3442 = 10356", "Subtract: 27653 - 10356 = 17297"], "final_answer": "17297", "answer_type": "integer", "kind": "expression", "math_text": "27653 - (6914 + 3442)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27653, \"b\": 6914, \"c\": 3442}", "seed": "8872728925453571701", "semantic_fingerprint": "sha256:6c6fd97dcfa7023dc0801540e6f3224334d83d1d84444f8ba4495677c53aaada", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005343", "prompt": "Calculate: 57185 + (-78047)", "solution_steps": ["Add: 57185 + (-78047) = -20862"], "final_answer": "-20862", "answer_type": "integer", "kind": "expression", "math_text": "57185 + (-78047)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 57185, \"b\": -78047}", "seed": "3057829812921660111", "semantic_fingerprint": "sha256:ef234d3aa6883a12239aac8851c6215a4ba2566783aafdd4828c9b8d4cc5c4d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005344", "prompt": "Calculate: (-8428 + 1478) / (-47086) - 9963", "solution_steps": ["Add: -8428 + 1478 = -6950", "Divide: -6950 / (-47086) = 3475/23543", "Subtract: 3475/23543 - 9963 = -234555434/23543"], "final_answer": "-234555434/23543", "answer_type": "rational", "kind": "expression", "math_text": "(-8428 + 1478) / (-47086) - 9963", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8428, \"b\": 1478, \"c\": -47086, \"d\": 9963}", "seed": "15800921508851510104", "semantic_fingerprint": "sha256:25a0719aedc5232cb76fcecc4ac15469b6846b5832d0c9d93a1275d9bc66ee40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005345", "prompt": "What value of x satisfies 37x + 7645 = 35(x - 5809) - 8434?", "solution_steps": ["Expand: 37x + 7645 = 35x - 203315 - 8434", "Combine constants: 37x + 7645 = 35x - 211749", "Subtract 35x from both sides: 2x + 7645 = -211749", "Subtract 7645 from both sides: 2x = -219394", "Divide both sides by 2: x = -109697"], "final_answer": "-109697", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x + 7645 = 35(x - 5809) - 8434", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 7645, \"c\": 35, \"d\": 5809, \"e\": 8434}", "seed": "16184018497747349175", "semantic_fingerprint": "sha256:bc15d31b1d532d7fca28fba27b59bd9b98215f3f15af0835b0198cd1a2d90d8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005346", "prompt": "Evaluate: 79862 - (-6243) / (-1408)", "solution_steps": ["Divide: -6243 / (-1408) = 6243/1408", "Subtract: 79862 - 6243/1408 = 112439453/1408"], "final_answer": "112439453/1408", "answer_type": "rational", "kind": "expression", "math_text": "79862 - (-6243) / (-1408)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79862, \"b\": -6243, \"c\": -1408}", "seed": "3700312938803283842", "semantic_fingerprint": "sha256:1ef4f0aa7b7c40b77f64ae9037e671b3e6d1b44de66710789d02e2d47ee07ac9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005347", "prompt": "Compute: -6400 + (-1461) + 7256", "solution_steps": ["Add: -6400 + (-1461) = -7861", "Add: -7861 + 7256 = -605"], "final_answer": "-605", "answer_type": "integer", "kind": "expression", "math_text": "-6400 + (-1461) + 7256", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6400, \"b\": -1461, \"c\": 7256}", "seed": "6856384633221295354", "semantic_fingerprint": "sha256:61a7fdad15ab37737ed305b579a80096b637d0245858908359d51bb39d8544d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005348", "prompt": "Calculate: (43796 + (-55531) - (-34396)) * (-42361)", "solution_steps": ["Add: 43796 + (-55531) = -11735", "Subtract: -11735 - (-34396) = 22661", "Multiply: 22661 * (-42361) = -959942621"], "final_answer": "-959942621", "answer_type": "integer", "kind": "expression", "math_text": "(43796 + (-55531) - (-34396)) * (-42361)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 43796, \"b\": -55531, \"c\": -34396, \"d\": -42361}", "seed": "12126269188831927836", "semantic_fingerprint": "sha256:b2a602a1beff04ab2a9386a9dbf45962008b9e7f38241f17ce316760a6ceccce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005349", "prompt": "What is (-15058 + (86728 - 1257)) / (-38982)?", "solution_steps": ["Subtract: 86728 - 1257 = 85471", "Add: -15058 + 85471 = 70413", "Divide: 70413 / (-38982) = -23471/12994"], "final_answer": "-23471/12994", "answer_type": "rational", "kind": "expression", "math_text": "(-15058 + (86728 - 1257)) / (-38982)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15058, \"b\": 86728, \"c\": 1257, \"d\": -38982}", "seed": "17222398551559582755", "semantic_fingerprint": "sha256:ad5d6ed3f1995b789d5dba62f90146b1bfeadf905de609dcd2ee0f78de5ac9fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005350", "prompt": "Evaluate: 8140 / (-5004)", "solution_steps": ["Divide: 8140 / (-5004) = -2035/1251"], "final_answer": "-2035/1251", "answer_type": "rational", "kind": "expression", "math_text": "8140 / (-5004)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8140, \"b\": -5004}", "seed": "3523975116393632579", "semantic_fingerprint": "sha256:7e9d596a791ef461f3f91d7baf51a07566c0c3f9aa87de6b7644aecf0b46604b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005351", "prompt": "Compute: -9435 / (-5356)", "solution_steps": ["Divide: -9435 / (-5356) = 9435/5356"], "final_answer": "9435/5356", "answer_type": "rational", "kind": "expression", "math_text": "-9435 / (-5356)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9435, \"b\": -5356}", "seed": "5566852763783317731", "semantic_fingerprint": "sha256:2d13fcd7cc1955ccfbba2363e74f466f364ddec7e80796455af41fc9919c5c88", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005352", "prompt": "What is 98030 - 7216 * (-8287) + (-8000)?", "solution_steps": ["Multiply: 7216 * (-8287) = -59798992", "Subtract: 98030 - (-59798992) = 59897022", "Add: 59897022 + (-8000) = 59889022"], "final_answer": "59889022", "answer_type": "integer", "kind": "expression", "math_text": "98030 - 7216 * (-8287) + (-8000)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 98030, \"b\": 7216, \"c\": -8287, \"d\": -8000}", "seed": "9258485484562934968", "semantic_fingerprint": "sha256:88fb78eae7873e58bde36f294e6fc213a1ec12060b002b586f90a3a391e7f1ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005353", "prompt": "Find x: 38(x - 82310) + 9870 = -17x", "solution_steps": ["Expand: 38x - 3127780 + 9870 = -17x", "Combine constants: 38x - 3117910 = -17x", "Add 17x to both sides: 55x - 3117910 = 0", "Add 3117910 to both sides: 55x = 3117910", "Divide both sides by 55: x = 623582/11"], "final_answer": "623582/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 82310) + 9870 = -17x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 82310, \"c\": 9870, \"d\": -17}", "seed": "2825479830511534391", "semantic_fingerprint": "sha256:5ce6272cafac9a98f11d85fe38d1ebc4d9bdc0092a2f4033edc33762412ebb75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005354", "prompt": "Evaluate: -3707 * (33845 + 6070)", "solution_steps": ["Add: 33845 + 6070 = 39915", "Multiply: -3707 * 39915 = -147964905"], "final_answer": "-147964905", "answer_type": "integer", "kind": "expression", "math_text": "-3707 * (33845 + 6070)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3707, \"b\": 33845, \"c\": 6070}", "seed": "14807664472666789714", "semantic_fingerprint": "sha256:6f991ec24996a19261489ff67e8b147225c9d8731006595d27a49791db53a434", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005355", "prompt": "Calculate: 2249 + 7601 + (-5762)", "solution_steps": ["Add: 2249 + 7601 = 9850", "Add: 9850 + (-5762) = 4088"], "final_answer": "4088", "answer_type": "integer", "kind": "expression", "math_text": "2249 + 7601 + (-5762)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2249, \"b\": 7601, \"c\": -5762}", "seed": "10253155200975803548", "semantic_fingerprint": "sha256:c52af383cf122d44f5a49dfbabd0728c6aefdccd40cf5c849bb88f349966071f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005356", "prompt": "What is (7104 + (-11071)) / (-35100 - 79837)?", "solution_steps": ["Add: 7104 + (-11071) = -3967", "Subtract: -35100 - 79837 = -114937", "Divide: -3967 / (-114937) = 3967/114937"], "final_answer": "3967/114937", "answer_type": "rational", "kind": "expression", "math_text": "(7104 + (-11071)) / (-35100 - 79837)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7104, \"b\": -11071, \"c\": -35100, \"d\": 79837}", "seed": "6454711284481636107", "semantic_fingerprint": "sha256:098f65549e1d987ce9cd8a0d51dee3b1f1374bc421d36d5e96e5cc9e7ba48f4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005357", "prompt": "Find x: 38(x + 93120) = x", "solution_steps": ["Expand: 38x + 3538560 = x", "Subtract x from both sides: 37x + 3538560 = 0", "Subtract 3538560 from both sides: 37x = -3538560", "Divide both sides by 37: x = -3538560/37"], "final_answer": "-3538560/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 93120) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 93120}", "seed": "16005607353955991881", "semantic_fingerprint": "sha256:2cde9d4753c07f06515b700447d7ac6d1200b9d34d901a2a76aabda2d0849a28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005358", "prompt": "Evaluate: 53659 - (-6857) - (6783 + 4042) / (-27438)", "solution_steps": ["Subtract: 53659 - (-6857) = 60516", "Add: 6783 + 4042 = 10825", "Divide: 10825 / (-27438) = -10825/27438", "Subtract: 60516 - (-10825/27438) = 1660448833/27438"], "final_answer": "1660448833/27438", "answer_type": "rational", "kind": "expression", "math_text": "53659 - (-6857) - (6783 + 4042) / (-27438)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 53659, \"b\": -6857, \"c\": 6783, \"d\": 4042, \"e\": -27438}", "seed": "11943946308158992092", "semantic_fingerprint": "sha256:a709ae5c41b6c3aa1bfacbf71db7bd3aafb2e6d021ceb2d18ed95ba84b403a06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005359", "prompt": "Solve for x: x - 32586 = 31x - 27066", "solution_steps": ["Subtract 31x from both sides: -30x - 32586 = -27066", "Add 32586 to both sides: -30x = 5520", "Divide both sides by -30: x = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 32586 = 31x - 27066", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32586, \"b\": 31, \"d\": -27066, \"x\": -184}", "seed": "312933772646033833", "semantic_fingerprint": "sha256:793586b9ce488f8661b3cfa98ec4fd2a745e78a993af7f624643b968e299e8d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005360", "prompt": "Compute: 6310 * 7128", "solution_steps": ["Multiply: 6310 * 7128 = 44977680"], "final_answer": "44977680", "answer_type": "integer", "kind": "expression", "math_text": "6310 * 7128", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6310, \"b\": 7128}", "seed": "8874116606302687076", "semantic_fingerprint": "sha256:0bda072e502c8a20bba41ea695701153c758faf0318d0d8c2248ea6814b58ffc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005361", "prompt": "Compute: 79991 * (14053 / (-57982))", "solution_steps": ["Divide: 14053 / (-57982) = -14053/57982", "Multiply: 79991 * (-14053/57982) = -1124113523/57982"], "final_answer": "-1124113523/57982", "answer_type": "rational", "kind": "expression", "math_text": "79991 * (14053 / (-57982))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79991, \"b\": 14053, \"c\": -57982}", "seed": "7047812965139629716", "semantic_fingerprint": "sha256:8e45434352839605687d45dae1640b803867ed44e3e36b65aed27757a393cd51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005362", "prompt": "What is 3608 / (-8833)?", "solution_steps": ["Divide: 3608 / (-8833) = -328/803"], "final_answer": "-328/803", "answer_type": "rational", "kind": "expression", "math_text": "3608 / (-8833)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3608, \"b\": -8833}", "seed": "9067419529451997820", "semantic_fingerprint": "sha256:5f8dc6aed28a16f8ccd85932a0d7dda66c4958c77dce67bfb5753f799660917b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005363", "prompt": "Calculate: 3629 - 9929", "solution_steps": ["Subtract: 3629 - 9929 = -6300"], "final_answer": "-6300", "answer_type": "integer", "kind": "expression", "math_text": "3629 - 9929", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3629, \"b\": 9929}", "seed": "11175040056987093625", "semantic_fingerprint": "sha256:ceb4a6fdc9c034cb0e4299f5904fa6f9cce65a811756bb8c80e9d37f56e853ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005364", "prompt": "Calculate: -3190 / 5687", "solution_steps": ["Divide: -3190 / 5687 = -290/517"], "final_answer": "-290/517", "answer_type": "rational", "kind": "expression", "math_text": "-3190 / 5687", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3190, \"b\": 5687}", "seed": "11410178222459074022", "semantic_fingerprint": "sha256:fc2cec5506bf18a377e62f7ce2c1bb8fb3a4113c5a98604f163e85d1cb8259ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005365", "prompt": "Evaluate: -26751 * (-9063)", "solution_steps": ["Multiply: -26751 * (-9063) = 242444313"], "final_answer": "242444313", "answer_type": "integer", "kind": "expression", "math_text": "-26751 * (-9063)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -26751, \"b\": -9063}", "seed": "10443985781284644406", "semantic_fingerprint": "sha256:cb7033c8aa0bd06a8dab2e7707a0e90848f5ab438030bd3f81fd31e434eab072", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005366", "prompt": "What is -58114 * ((-44239 + (2359 - (-6068))) / 6557)?", "solution_steps": ["Subtract: 2359 - (-6068) = 8427", "Add: -44239 + 8427 = -35812", "Divide: -35812 / 6557 = -35812/6557", "Multiply: -58114 * (-35812/6557) = 2081178568/6557"], "final_answer": "2081178568/6557", "answer_type": "rational", "kind": "expression", "math_text": "-58114 * ((-44239 + (2359 - (-6068))) / 6557)", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -58114, \"b\": -44239, \"c\": 2359, \"d\": -6068, \"e\": 6557}", "seed": "12669539506563895492", "semantic_fingerprint": "sha256:5e12e905ec15e661e88f8127778fcf75748019b2b032021ea3ae5e3e2d743dda", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005367", "prompt": "Calculate: (1263 + 1440 - 6692) * (-5480)", "solution_steps": ["Add: 1263 + 1440 = 2703", "Subtract: 2703 - 6692 = -3989", "Multiply: -3989 * (-5480) = 21859720"], "final_answer": "21859720", "answer_type": "integer", "kind": "expression", "math_text": "(1263 + 1440 - 6692) * (-5480)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1263, \"b\": 1440, \"c\": 6692, \"d\": -5480}", "seed": "12089172187356239980", "semantic_fingerprint": "sha256:8e61ca9565ca11a948a4646dcd1ebfdba0b7a4a39d19eefe4e0239994be603d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005368", "prompt": "What is 1081 * (-6662 + 5876) - (-7533)?", "solution_steps": ["Add: -6662 + 5876 = -786", "Multiply: 1081 * (-786) = -849666", "Subtract: -849666 - (-7533) = -842133"], "final_answer": "-842133", "answer_type": "integer", "kind": "expression", "math_text": "1081 * (-6662 + 5876) - (-7533)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1081, \"b\": -6662, \"c\": 5876, \"d\": -7533}", "seed": "14037090621665893120", "semantic_fingerprint": "sha256:a5a2652317653023c223a5b50c8170868018aeed9658779ffed4053c7deea25a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005369", "prompt": "Solve for x: x + 90824 = 26x", "solution_steps": ["Subtract 26x from both sides: -25x + 90824 = 0", "Subtract 90824 from both sides: -25x = -90824", "Divide both sides by -25: x = 90824/25"], "final_answer": "90824/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 90824 = 26x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 90824, \"b\": 26}", "seed": "16130378852376293946", "semantic_fingerprint": "sha256:a4215484cc25733ea6e94cb6450d0bf70ff78dc27dee9fe3e2713c160734a7fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005370", "prompt": "Solve the equation 26x = x for x.", "solution_steps": ["Subtract x from both sides: 25x = 0", "Divide both sides by 25: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26}", "seed": "1173100005524825100", "semantic_fingerprint": "sha256:300e3fab95a9360c9fd199f9e1714bd36abdc073f6d8c82c7a33c7701803acfb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005371", "prompt": "What is 6461 - (4852 * (-63891) / 7598 + 62049 + 37872)?", "solution_steps": ["Multiply: 4852 * (-63891) = -309999132", "Divide: -309999132 / 7598 = -154999566/3799", "Add: -154999566/3799 + 62049 = 80724585/3799", "Add: 80724585/3799 + 37872 = 224600313/3799", "Subtract: 6461 - 224600313/3799 = -200054974/3799"], "final_answer": "-200054974/3799", "answer_type": "rational", "kind": "expression", "math_text": "6461 - (4852 * (-63891) / 7598 + 62049 + 37872)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (/ (* n n) n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6461, \"b\": 4852, \"c\": -63891, \"d\": 7598, \"e\": 62049, \"f\": 37872}", "seed": "872538261192623073", "semantic_fingerprint": "sha256:38f32156dacdb4724d6d54eac590ea9ffa156b3487da7d0be6e0581c5ccc2508", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005372", "prompt": "What is 65767 * 4020?", "solution_steps": ["Multiply: 65767 * 4020 = 264383340"], "final_answer": "264383340", "answer_type": "integer", "kind": "expression", "math_text": "65767 * 4020", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 65767, \"b\": 4020}", "seed": "13085877834894004135", "semantic_fingerprint": "sha256:7adbf95eb1877a2fc0d63baa2a98da522e8b427b0c60a471ba4cff021bf57099", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005373", "prompt": "What value of x satisfies 36(x + 1815) = x?", "solution_steps": ["Expand: 36x + 65340 = x", "Subtract x from both sides: 35x + 65340 = 0", "Subtract 65340 from both sides: 35x = -65340", "Divide both sides by 35: x = -13068/7"], "final_answer": "-13068/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 1815) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 1815}", "seed": "14320020753882446589", "semantic_fingerprint": "sha256:5881f4bc06fc3d5e118d5f84bb0e08e09d596031994faf7ce4204cc24a323662", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005374", "prompt": "Solve the equation x = 31(x + 2768) - 82658 for x.", "solution_steps": ["Expand: x = 31x + 85808 - 82658", "Combine constants: x = 31x + 3150", "Subtract 31x from both sides: -30x = 3150", "Divide both sides by -30: x = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 31(x + 2768) - 82658", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 2768, \"d\": -82658, \"x\": -105}", "seed": "9176060421652555859", "semantic_fingerprint": "sha256:035a3b6ae86ebbd8771cbb7c10270a39c32fc00e86dc4236c5fdaa40a122c2f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005375", "prompt": "What value of x satisfies 21x + 1247 = -34x + 6802?", "solution_steps": ["Add 34x to both sides: 55x + 1247 = 6802", "Subtract 1247 from both sides: 55x = 5555", "Divide both sides by 55: x = 101"], "final_answer": "101", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x + 1247 = -34x + 6802", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 1247, \"c\": -34, \"e\": 6802, \"x\": 101}", "seed": "15729777331204358334", "semantic_fingerprint": "sha256:e3829a9fe0533823b0900a2907c06a7560b51386d7f2ab33f10d1848dd574a5b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005376", "prompt": "What is -90565 - 9043 / (2673 - 70085) + (-3029)?", "solution_steps": ["Subtract: 2673 - 70085 = -67412", "Divide: 9043 / (-67412) = -9043/67412", "Subtract: -90565 - (-9043/67412) = -6105158737/67412", "Add: -6105158737/67412 + (-3029) = -6309349685/67412"], "final_answer": "-6309349685/67412", "answer_type": "rational", "kind": "expression", "math_text": "-90565 - 9043 / (2673 - 70085) + (-3029)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -90565, \"b\": 9043, \"c\": 2673, \"d\": 70085, \"e\": -3029}", "seed": "13485281735959779975", "semantic_fingerprint": "sha256:daf215f897ecc1be49971e69af940709a7bb8c7be57272bb858782a4117f8cde", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005377", "prompt": "What is -55633 + 2538 + (-26677)?", "solution_steps": ["Add: -55633 + 2538 = -53095", "Add: -53095 + (-26677) = -79772"], "final_answer": "-79772", "answer_type": "integer", "kind": "expression", "math_text": "-55633 + 2538 + (-26677)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -55633, \"b\": 2538, \"c\": -26677}", "seed": "5653692296823631966", "semantic_fingerprint": "sha256:2e18deb87bce238b41425db854928114196430f6da31e460c18f2ea2ec09091e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005378", "prompt": "Solve for x: 23(x + 5537) - 38048 = -30x + 9588", "solution_steps": ["Expand: 23x + 127351 - 38048 = -30x + 9588", "Combine constants: 23x + 89303 = -30x + 9588", "Add 30x to both sides: 53x + 89303 = 9588", "Subtract 89303 from both sides: 53x = -79715", "Divide both sides by 53: x = -79715/53"], "final_answer": "-79715/53", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 5537) - 38048 = -30x + 9588", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5537, \"c\": 38048, \"d\": -30, \"e\": 9588}", "seed": "8578459450877879926", "semantic_fingerprint": "sha256:62fa22c7fe2499bf077ac36cfe27f8485e7d69f4adca22e0f25e1ec1ed1257bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005379", "prompt": "Solve the equation -29x - 92717 = -93877 for x.", "solution_steps": ["Add 92717 to both sides: -29x = -1160", "Divide both sides by -29: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29x - 92717 = -93877", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 92717, \"d\": -93877, \"x\": 40}", "seed": "18299267008873131435", "semantic_fingerprint": "sha256:8d52c03ce2987bcec5d1c34b47cb5eddce8672059e309bcc72dd7a82831d8030", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005380", "prompt": "Compute: -52391 / (-4902 / (-3305))", "solution_steps": ["Divide: -4902 / (-3305) = 4902/3305", "Divide: -52391 / (4902/3305) = -173152255/4902"], "final_answer": "-173152255/4902", "answer_type": "rational", "kind": "expression", "math_text": "-52391 / (-4902 / (-3305))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -52391, \"b\": -4902, \"c\": -3305}", "seed": "14844583202372145120", "semantic_fingerprint": "sha256:3958d27e8ed97e0c8f560f40a043c1735956510a09e939eb544fa19ade63690d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005381", "prompt": "What is -49067 * (-9236 - 1375) * (4676 / (-6040)) - (-5683)?", "solution_steps": ["Subtract: -9236 - 1375 = -10611", "Multiply: -49067 * (-10611) = 520649937", "Divide: 4676 / (-6040) = -1169/1510", "Multiply: 520649937 * (-1169/1510) = -608639776353/1510", "Subtract: -608639776353/1510 - (-5683) = -608631195023/1510"], "final_answer": "-608631195023/1510", "answer_type": "rational", "kind": "expression", "math_text": "-49067 * (-9236 - 1375) * (4676 / (-6040)) - (-5683)", "variable": null, "family": "expression_5op", "shape": "(- (* (* n (- n n)) (/ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -49067, \"b\": -9236, \"c\": 1375, \"d\": 4676, \"e\": -6040, \"f\": -5683}", "seed": "15777552542052850527", "semantic_fingerprint": "sha256:2e80b5c7fd383b56cf01dbed79a68a2e6dd5bd3bf86b6cf61fb173172e6b9551", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005382", "prompt": "Compute: 4945 * 8587 - (-9973 - (-49500)) * (-7363 / 4704)", "solution_steps": ["Multiply: 4945 * 8587 = 42462715", "Subtract: -9973 - (-49500) = 39527", "Divide: -7363 / 4704 = -7363/4704", "Multiply: 39527 * (-7363/4704) = -291037301/4704", "Subtract: 42462715 - (-291037301/4704) = 200035648661/4704"], "final_answer": "200035648661/4704", "answer_type": "rational", "kind": "expression", "math_text": "4945 * 8587 - (-9973 - (-49500)) * (-7363 / 4704)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (- n n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4945, \"b\": 8587, \"c\": -9973, \"d\": -49500, \"e\": -7363, \"f\": 4704}", "seed": "7564274771134478339", "semantic_fingerprint": "sha256:ff6d8989df0f8452f52dcc2b2de5c9594e3b479177eb32ee72629307fdd29f14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005383", "prompt": "What is 5112 * (-32365 * 5312)?", "solution_steps": ["Multiply: -32365 * 5312 = -171922880", "Multiply: 5112 * (-171922880) = -878869762560"], "final_answer": "-878869762560", "answer_type": "integer", "kind": "expression", "math_text": "5112 * (-32365 * 5312)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5112, \"b\": -32365, \"c\": 5312}", "seed": "17244114156259162267", "semantic_fingerprint": "sha256:7c7dc7998c5dda918f638e8f69f1b5a06d64cf8f2667af6245c0695a3ade3f39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005384", "prompt": "Calculate: (-7860 + (-9439) + (-5329)) * (79297 + 2315)", "solution_steps": ["Add: -7860 + (-9439) = -17299", "Add: -17299 + (-5329) = -22628", "Add: 79297 + 2315 = 81612", "Multiply: -22628 * 81612 = -1846716336"], "final_answer": "-1846716336", "answer_type": "integer", "kind": "expression", "math_text": "(-7860 + (-9439) + (-5329)) * (79297 + 2315)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7860, \"b\": -9439, \"c\": -5329, \"d\": 79297, \"e\": 2315}", "seed": "1613991283666510430", "semantic_fingerprint": "sha256:09fca2afbda394dcfe326e9fb7074bc617fbda3be76bed73cfe4b086d557fe46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005385", "prompt": "Compute: 5758 / (-7476)", "solution_steps": ["Divide: 5758 / (-7476) = -2879/3738"], "final_answer": "-2879/3738", "answer_type": "rational", "kind": "expression", "math_text": "5758 / (-7476)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5758, \"b\": -7476}", "seed": "6052147630358503348", "semantic_fingerprint": "sha256:916315f74693e597f3f6588646c570dc446d5f6227d93448bb28e0e73df09348", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005386", "prompt": "Evaluate: 2453 - (-69274) - 1476 + 19351", "solution_steps": ["Subtract: 2453 - (-69274) = 71727", "Subtract: 71727 - 1476 = 70251", "Add: 70251 + 19351 = 89602"], "final_answer": "89602", "answer_type": "integer", "kind": "expression", "math_text": "2453 - (-69274) - 1476 + 19351", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2453, \"b\": -69274, \"c\": 1476, \"d\": 19351}", "seed": "6739933414220929135", "semantic_fingerprint": "sha256:a5abb732ed1ba9ac6bbb179c12055d113c3bf181b4af81f2b4952f52518aeed5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005387", "prompt": "Compute: 29402 * (-2670) + (-90920) + (-5751 + (-6534))", "solution_steps": ["Multiply: 29402 * (-2670) = -78503340", "Add: -78503340 + (-90920) = -78594260", "Add: -5751 + (-6534) = -12285", "Add: -78594260 + (-12285) = -78606545"], "final_answer": "-78606545", "answer_type": "integer", "kind": "expression", "math_text": "29402 * (-2670) + (-90920) + (-5751 + (-6534))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29402, \"b\": -2670, \"c\": -90920, \"d\": -5751, \"e\": -6534}", "seed": "3525111586668134724", "semantic_fingerprint": "sha256:47d06317ecc38c65486a29c84c73d825f3c2568e87e405435778caccc63814cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005388", "prompt": "Compute: 63278 + 5705 / 11389", "solution_steps": ["Divide: 5705 / 11389 = 815/1627", "Add: 63278 + 815/1627 = 102954121/1627"], "final_answer": "102954121/1627", "answer_type": "rational", "kind": "expression", "math_text": "63278 + 5705 / 11389", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63278, \"b\": 5705, \"c\": 11389}", "seed": "7794952864035545091", "semantic_fingerprint": "sha256:e42d5025e031b29e91295050d74a26a4a66620d863fc78fbf52e89971f5fe266", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005389", "prompt": "What is 21359 + (55228 * 9524 + 71748)?", "solution_steps": ["Multiply: 55228 * 9524 = 525991472", "Add: 525991472 + 71748 = 526063220", "Add: 21359 + 526063220 = 526084579"], "final_answer": "526084579", "answer_type": "integer", "kind": "expression", "math_text": "21359 + (55228 * 9524 + 71748)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21359, \"b\": 55228, \"c\": 9524, \"d\": 71748}", "seed": "10415314139704240138", "semantic_fingerprint": "sha256:17981c19e68804f3f1c88c7c121af7c3d3bd1f888635643ed046c98e89265347", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005390", "prompt": "What value of x satisfies x + 8351 = 24x + 4809?", "solution_steps": ["Subtract 24x from both sides: -23x + 8351 = 4809", "Subtract 8351 from both sides: -23x = -3542", "Divide both sides by -23: x = 154"], "final_answer": "154", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8351 = 24x + 4809", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8351, \"b\": 24, \"d\": 4809, \"x\": 154}", "seed": "14901032853210661658", "semantic_fingerprint": "sha256:8df169b08ad08b20b62e007f664e38860a929547163aa384323d3c337e36cb7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005391", "prompt": "What is -9050 * (-7697 - 2247) - (-29209)?", "solution_steps": ["Subtract: -7697 - 2247 = -9944", "Multiply: -9050 * (-9944) = 89993200", "Subtract: 89993200 - (-29209) = 90022409"], "final_answer": "90022409", "answer_type": "integer", "kind": "expression", "math_text": "-9050 * (-7697 - 2247) - (-29209)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9050, \"b\": -7697, \"c\": 2247, \"d\": -29209}", "seed": "5312879751312704226", "semantic_fingerprint": "sha256:f91440c95da8a67564f4cc01b06e1ae790f378bdb495ad785b3dd10ec699bcbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005392", "prompt": "Calculate: (-9885 - (7939 - (-16710))) / (34285 - (-56726))", "solution_steps": ["Subtract: 7939 - (-16710) = 24649", "Subtract: -9885 - 24649 = -34534", "Subtract: 34285 - (-56726) = 91011", "Divide: -34534 / 91011 = -34534/91011"], "final_answer": "-34534/91011", "answer_type": "rational", "kind": "expression", "math_text": "(-9885 - (7939 - (-16710))) / (34285 - (-56726))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9885, \"b\": 7939, \"c\": -16710, \"d\": 34285, \"e\": -56726}", "seed": "18399480560448485889", "semantic_fingerprint": "sha256:dd047f43ba4dde70999496ad4272cb7523a55673441704ff2e4218fc12086bae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005393", "prompt": "Evaluate: 5296 - (-63703)", "solution_steps": ["Subtract: 5296 - (-63703) = 68999"], "final_answer": "68999", "answer_type": "integer", "kind": "expression", "math_text": "5296 - (-63703)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5296, \"b\": -63703}", "seed": "9854096346203963570", "semantic_fingerprint": "sha256:c3092dbfa7260a0fa09177d8da8f1da1537b388c734e6eb3c7cb0d7f208bfaee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005394", "prompt": "Solve for x: 33(x - 2305) - 7038 = x - 91757", "solution_steps": ["Expand: 33x - 76065 - 7038 = x - 91757", "Combine constants: 33x - 83103 = x - 91757", "Subtract x from both sides: 32x - 83103 = -91757", "Add 83103 to both sides: 32x = -8654", "Divide both sides by 32: x = -4327/16"], "final_answer": "-4327/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 2305) - 7038 = x - 91757", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 2305, \"c\": 7038, \"d\": 91757}", "seed": "5143862805505832600", "semantic_fingerprint": "sha256:149c80c4d0f52c003afc74c377de10b8d7de487876e3d02868e2f4b6d53f53ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005395", "prompt": "Evaluate: -26719 - (74303 - 36348)", "solution_steps": ["Subtract: 74303 - 36348 = 37955", "Subtract: -26719 - 37955 = -64674"], "final_answer": "-64674", "answer_type": "integer", "kind": "expression", "math_text": "-26719 - (74303 - 36348)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26719, \"b\": 74303, \"c\": 36348}", "seed": "8831942475456158565", "semantic_fingerprint": "sha256:81503f8ac3f72681d758241ce9a879d9c07aa0dce2676b143bdcca2f4f9c109b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005396", "prompt": "Solve the equation x + 8895 = 24x - 8162 for x.", "solution_steps": ["Subtract 24x from both sides: -23x + 8895 = -8162", "Subtract 8895 from both sides: -23x = -17057", "Divide both sides by -23: x = 17057/23"], "final_answer": "17057/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8895 = 24x - 8162", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8895, \"b\": 24, \"c\": 8162}", "seed": "2213262129433869496", "semantic_fingerprint": "sha256:4be5c7efe656103f06483c75a1edcf906f9487e1b9064894df3d34ab1d67b723", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005397", "prompt": "Compute: -7194 / (-1269)", "solution_steps": ["Divide: -7194 / (-1269) = 2398/423"], "final_answer": "2398/423", "answer_type": "rational", "kind": "expression", "math_text": "-7194 / (-1269)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7194, \"b\": -1269}", "seed": "1876792583516095912", "semantic_fingerprint": "sha256:947a70f6e66b06d65adfb5fd599b682c6f39e2e57c3a1fbcbf6f2d8e4236a8ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005398", "prompt": "Evaluate: 3593 / (-14963 - (-4247))", "solution_steps": ["Subtract: -14963 - (-4247) = -10716", "Divide: 3593 / (-10716) = -3593/10716"], "final_answer": "-3593/10716", "answer_type": "rational", "kind": "expression", "math_text": "3593 / (-14963 - (-4247))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3593, \"b\": -14963, \"c\": -4247}", "seed": "11616431542485700322", "semantic_fingerprint": "sha256:d5f9554714d64370df09dfa8a1a4631399f72ef4b3a2997cabb0b4e613d9655a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005399", "prompt": "Solve for x: 27(x + 48433) - 29078 = 21(x + 1219) + 5091", "solution_steps": ["Expand: 27x + 1307691 - 29078 = 21(x + 1219) + 5091", "Expand: 27x + 1307691 - 29078 = 21x + 25599 + 5091", "Combine constants: 27x + 1278613 = 21x + 25599 + 5091", "Combine constants: 27x + 1278613 = 21x + 30690", "Subtract 21x from both sides: 6x + 1278613 = 30690", "Subtract 1278613 from both sides: 6x = -1247923", "Divide both sides by 6: x = -1247923/6"], "final_answer": "-1247923/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 48433) - 29078 = 21(x + 1219) + 5091", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 48433, \"c\": 29078, \"d\": 21, \"e\": 1219, \"f\": 5091}", "seed": "5450214652571299257", "semantic_fingerprint": "sha256:b4cef97319895af2dcf252704961cf7b10b7765b0d5d043aaefd4edfda075a14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005400", "prompt": "Calculate: -8896 - (5985 - 2694)", "solution_steps": ["Subtract: 5985 - 2694 = 3291", "Subtract: -8896 - 3291 = -12187"], "final_answer": "-12187", "answer_type": "integer", "kind": "expression", "math_text": "-8896 - (5985 - 2694)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8896, \"b\": 5985, \"c\": 2694}", "seed": "17151354615453730921", "semantic_fingerprint": "sha256:c6c336dc238308401b52f44e67813a365028782804618416b16349b75837ea38", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005401", "prompt": "Find x: -31(x + 5080) = -28(x - 4955) - 5820", "solution_steps": ["Expand: -31x - 157480 = -28(x - 4955) - 5820", "Expand: -31x - 157480 = -28x + 138740 - 5820", "Combine constants: -31x - 157480 = -28x + 132920", "Add 28x to both sides: -3x - 157480 = 132920", "Add 157480 to both sides: -3x = 290400", "Divide both sides by -3: x = -96800"], "final_answer": "-96800", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31(x + 5080) = -28(x - 4955) - 5820", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 5080, \"c\": -28, \"d\": 4955, \"e\": 5820}", "seed": "148959020231654342", "semantic_fingerprint": "sha256:77b1203092cc1a6e1962e8f411f9095104c7afef29adbe028c3cec1d9c952ee3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005402", "prompt": "Evaluate: 48995 / (-8370 + (57889 - (-4258)))", "solution_steps": ["Subtract: 57889 - (-4258) = 62147", "Add: -8370 + 62147 = 53777", "Divide: 48995 / 53777 = 48995/53777"], "final_answer": "48995/53777", "answer_type": "rational", "kind": "expression", "math_text": "48995 / (-8370 + (57889 - (-4258)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 48995, \"b\": -8370, \"c\": 57889, \"d\": -4258}", "seed": "15836323923400144563", "semantic_fingerprint": "sha256:75d2f387d297379ebe09afd8e71d665b0f152f924c341590778f4204ca0aa3a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005403", "prompt": "Evaluate: -91620 + (-1550) - (3187 + 98883) * (8268 + 38323)", "solution_steps": ["Add: -91620 + (-1550) = -93170", "Add: 3187 + 98883 = 102070", "Add: 8268 + 38323 = 46591", "Multiply: 102070 * 46591 = 4755543370", "Subtract: -93170 - 4755543370 = -4755636540"], "final_answer": "-4755636540", "answer_type": "integer", "kind": "expression", "math_text": "-91620 + (-1550) - (3187 + 98883) * (8268 + 38323)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* (+ n n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -91620, \"b\": -1550, \"c\": 3187, \"d\": 98883, \"e\": 8268, \"f\": 38323}", "seed": "1424340731216717303", "semantic_fingerprint": "sha256:1cd1de2afd4a65ea38b1f3cff26d80c91fa729ed5903a20f17ef3ec4cc9d51aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005404", "prompt": "Evaluate: (-22050 - (-6846)) * (-1283 + (-7207) - 58285)", "solution_steps": ["Subtract: -22050 - (-6846) = -15204", "Add: -1283 + (-7207) = -8490", "Subtract: -8490 - 58285 = -66775", "Multiply: -15204 * (-66775) = 1015247100"], "final_answer": "1015247100", "answer_type": "integer", "kind": "expression", "math_text": "(-22050 - (-6846)) * (-1283 + (-7207) - 58285)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22050, \"b\": -6846, \"c\": -1283, \"d\": -7207, \"e\": 58285}", "seed": "5279444350416273862", "semantic_fingerprint": "sha256:bdfac77c6b3c1427171bbee910d61f8f32dc329b01e7aac3158a2cac55d14ef5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005405", "prompt": "What is 4786 * (4624 / (-8130))?", "solution_steps": ["Divide: 4624 / (-8130) = -2312/4065", "Multiply: 4786 * (-2312/4065) = -11065232/4065"], "final_answer": "-11065232/4065", "answer_type": "rational", "kind": "expression", "math_text": "4786 * (4624 / (-8130))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4786, \"b\": 4624, \"c\": -8130}", "seed": "3552521997500615577", "semantic_fingerprint": "sha256:d88d0b822abcff2e9990d9cdfa76bc18c250397451cd766da81fc3b4f94d95bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005406", "prompt": "What value of x satisfies x - 5263 = 28x + 6046?", "solution_steps": ["Subtract 28x from both sides: -27x - 5263 = 6046", "Add 5263 to both sides: -27x = 11309", "Divide both sides by -27: x = -11309/27"], "final_answer": "-11309/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5263 = 28x + 6046", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5263, \"b\": 28, \"c\": 6046}", "seed": "12476855400426286702", "semantic_fingerprint": "sha256:18eff3a6cfc08239851ab3ad2da3ffc651b914405980cd14bb1d2fbe0b6535de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005407", "prompt": "Evaluate: -9487 - (80537 - 87770)", "solution_steps": ["Subtract: 80537 - 87770 = -7233", "Subtract: -9487 - (-7233) = -2254"], "final_answer": "-2254", "answer_type": "integer", "kind": "expression", "math_text": "-9487 - (80537 - 87770)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9487, \"b\": 80537, \"c\": 87770}", "seed": "12917286237505169623", "semantic_fingerprint": "sha256:87fdb6f9944485a341cf641c27e09f33ef2bb65d90edad2249f4589faae08ea8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005408", "prompt": "What is 46287 + 12034?", "solution_steps": ["Add: 46287 + 12034 = 58321"], "final_answer": "58321", "answer_type": "integer", "kind": "expression", "math_text": "46287 + 12034", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 46287, \"b\": 12034}", "seed": "4538265720943621361", "semantic_fingerprint": "sha256:7382529559db93e02c72503eefc02f8f27c55a3e620412c7f150ee9eb2c65a0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005409", "prompt": "Solve the equation -26(x + 4785) + 85108 = -36832 for x.", "solution_steps": ["Expand: -26x - 124410 + 85108 = -36832", "Combine constants: -26x - 39302 = -36832", "Add 39302 to both sides: -26x = 2470", "Divide both sides by -26: x = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26(x + 4785) + 85108 = -36832", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 4785, \"c\": 85108, \"e\": -36832, \"x\": -95}", "seed": "10894067279664701777", "semantic_fingerprint": "sha256:5ae2f46abc5b881c117b56cadd8a814a783effb3448d4bbc7bfc4e343b7dc8b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005410", "prompt": "Solve for x: x - 57702 = 17(x + 6977) - 8521", "solution_steps": ["Expand: x - 57702 = 17x + 118609 - 8521", "Combine constants: x - 57702 = 17x + 110088", "Subtract 17x from both sides: -16x - 57702 = 110088", "Add 57702 to both sides: -16x = 167790", "Divide both sides by -16: x = -83895/8"], "final_answer": "-83895/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 57702 = 17(x + 6977) - 8521", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 57702, \"b\": 17, \"c\": 6977, \"d\": 8521}", "seed": "17168255202593134302", "semantic_fingerprint": "sha256:f7518e97d85857379da5cb2d3958d4e55b3e9e64357935f37f1b28c32e63f229", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005411", "prompt": "Calculate: 26427 - (7151 + (-1192))", "solution_steps": ["Add: 7151 + (-1192) = 5959", "Subtract: 26427 - 5959 = 20468"], "final_answer": "20468", "answer_type": "integer", "kind": "expression", "math_text": "26427 - (7151 + (-1192))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26427, \"b\": 7151, \"c\": -1192}", "seed": "11964341234203420636", "semantic_fingerprint": "sha256:aed640d03b06ce703269cb304524867bcf8770511b036c1b5396bc2730a65f4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005412", "prompt": "Evaluate: -89762 + 3031 * (-2735)", "solution_steps": ["Multiply: 3031 * (-2735) = -8289785", "Add: -89762 + (-8289785) = -8379547"], "final_answer": "-8379547", "answer_type": "integer", "kind": "expression", "math_text": "-89762 + 3031 * (-2735)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -89762, \"b\": 3031, \"c\": -2735}", "seed": "15467474023521654052", "semantic_fingerprint": "sha256:304a9d2c1a9983d360b9b563e6dd88f846267fb256cd1678b37d926fd304fcae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005413", "prompt": "What is 7427 * (-8043) / (-4172 / 7237)?", "solution_steps": ["Multiply: 7427 * (-8043) = -59735361", "Divide: -4172 / 7237 = -4172/7237", "Divide: -59735361 / (-4172/7237) = 61757829651/596"], "final_answer": "61757829651/596", "answer_type": "rational", "kind": "expression", "math_text": "7427 * (-8043) / (-4172 / 7237)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7427, \"b\": -8043, \"c\": -4172, \"d\": 7237}", "seed": "4506101020898524400", "semantic_fingerprint": "sha256:0252e14405a856abdbab565739e06147b19b85deb8ff3a6517de68f9c9c9ab98", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005414", "prompt": "What value of x satisfies 25(x - 62769) = 19(x - 87771) + 97704?", "solution_steps": ["Expand: 25x - 1569225 = 19(x - 87771) + 97704", "Expand: 25x - 1569225 = 19x - 1667649 + 97704", "Combine constants: 25x - 1569225 = 19x - 1569945", "Subtract 19x from both sides: 6x - 1569225 = -1569945", "Add 1569225 to both sides: 6x = -720", "Divide both sides by 6: x = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 62769) = 19(x - 87771) + 97704", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 62769, \"c\": 19, \"d\": 87771, \"f\": 97704, \"x\": -120}", "seed": "14374271641761854011", "semantic_fingerprint": "sha256:5a5f2d971752524689440c03db2f78fbb5ac43f799884126821897a89f964b85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005415", "prompt": "Solve for x: 39x + 55550 = 52196", "solution_steps": ["Subtract 55550 from both sides: 39x = -3354", "Divide both sides by 39: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x + 55550 = 52196", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 55550, \"d\": 52196, \"x\": -86}", "seed": "9024504209841981639", "semantic_fingerprint": "sha256:856c6687f56848ccb4086c9799608d42e0bf5e03ad8ed334639761ffbb7a08dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005416", "prompt": "Calculate: 51682 * (-3332)", "solution_steps": ["Multiply: 51682 * (-3332) = -172204424"], "final_answer": "-172204424", "answer_type": "integer", "kind": "expression", "math_text": "51682 * (-3332)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 51682, \"b\": -3332}", "seed": "15252936117066121609", "semantic_fingerprint": "sha256:f429d21bc018023ddb7a57ff1b99a24896ea84cc1711c0da46624fbc17200dee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005417", "prompt": "What value of x satisfies -32x + 2265 = 4216?", "solution_steps": ["Subtract 2265 from both sides: -32x = 1951", "Divide both sides by -32: x = -1951/32"], "final_answer": "-1951/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32x + 2265 = 4216", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 2265, \"c\": 4216}", "seed": "4615833070300392009", "semantic_fingerprint": "sha256:71b9e869ba8bb14a2714b6f8ec9163d2920e7ed8ad5cd206cc3a9fd78cde6c49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005418", "prompt": "Evaluate: -12933 * (-8693)", "solution_steps": ["Multiply: -12933 * (-8693) = 112426569"], "final_answer": "112426569", "answer_type": "integer", "kind": "expression", "math_text": "-12933 * (-8693)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -12933, \"b\": -8693}", "seed": "17020626295435930714", "semantic_fingerprint": "sha256:d88dd5dded3cb71d553cf36221dbe88a9090ade9df17bd4bf693583debcf0639", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005419", "prompt": "Find x: x = 21(x - 79610)", "solution_steps": ["Expand: x = 21x - 1671810", "Subtract 21x from both sides: -20x = -1671810", "Divide both sides by -20: x = 167181/2"], "final_answer": "167181/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 21(x - 79610)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 79610}", "seed": "11664500494705798815", "semantic_fingerprint": "sha256:7c347c354589dd970c4af6c9aa6fef1a14c49a99dd944863ec5441431a5080a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005420", "prompt": "Evaluate: -9235 - (1906 - (-8039) + (-4960))", "solution_steps": ["Subtract: 1906 - (-8039) = 9945", "Add: 9945 + (-4960) = 4985", "Subtract: -9235 - 4985 = -14220"], "final_answer": "-14220", "answer_type": "integer", "kind": "expression", "math_text": "-9235 - (1906 - (-8039) + (-4960))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9235, \"b\": 1906, \"c\": -8039, \"d\": -4960}", "seed": "4390970674362006200", "semantic_fingerprint": "sha256:ef22cc29049365de0e8f30dcf2de9675f997441cc07d449fc78b920c904412b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005421", "prompt": "Evaluate: 82646 / (-2014)", "solution_steps": ["Divide: 82646 / (-2014) = -41323/1007"], "final_answer": "-41323/1007", "answer_type": "rational", "kind": "expression", "math_text": "82646 / (-2014)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82646, \"b\": -2014}", "seed": "14973479064422463686", "semantic_fingerprint": "sha256:2a09f8ef83aa47791c816771e25fbcd4af916c1f7fefb29d7f0bafa66edf1482", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005422", "prompt": "Calculate: -92227 / (-8723)", "solution_steps": ["Divide: -92227 / (-8723) = 92227/8723"], "final_answer": "92227/8723", "answer_type": "rational", "kind": "expression", "math_text": "-92227 / (-8723)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -92227, \"b\": -8723}", "seed": "1362607220885471495", "semantic_fingerprint": "sha256:2f03414c4d7003403e495686a4f4d1180d152561368bd9b293333033c23bf683", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005423", "prompt": "Calculate: 1330 / (-7736) + (-6928)", "solution_steps": ["Divide: 1330 / (-7736) = -665/3868", "Add: -665/3868 + (-6928) = -26798169/3868"], "final_answer": "-26798169/3868", "answer_type": "rational", "kind": "expression", "math_text": "1330 / (-7736) + (-6928)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1330, \"b\": -7736, \"c\": -6928}", "seed": "853435735341115537", "semantic_fingerprint": "sha256:824a81564de7866976fa6e933f6d2bafa89dc41ad6b73950876f05aa2e976d1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005424", "prompt": "Evaluate: -1603 / (-6779)", "solution_steps": ["Divide: -1603 / (-6779) = 1603/6779"], "final_answer": "1603/6779", "answer_type": "rational", "kind": "expression", "math_text": "-1603 / (-6779)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1603, \"b\": -6779}", "seed": "3429829572640265614", "semantic_fingerprint": "sha256:85e27721e19ab4e0583053eb20e84cc5df1e0aff5d0cb888a549c63c9f7eda6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005425", "prompt": "Compute: 6383 - 2999", "solution_steps": ["Subtract: 6383 - 2999 = 3384"], "final_answer": "3384", "answer_type": "integer", "kind": "expression", "math_text": "6383 - 2999", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6383, \"b\": 2999}", "seed": "2183688304484067671", "semantic_fingerprint": "sha256:2c2cd6c306adbd1287d1d205bd80ed071191d65eda20f2885c6b9f3bbd85eb2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005426", "prompt": "Find x: x = 22x", "solution_steps": ["Subtract 22x from both sides: -21x = 0", "Divide both sides by -21: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 22x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22}", "seed": "3798922824950378442", "semantic_fingerprint": "sha256:29df429855de814b16591138e34363814563bead25ccf50054e5b42adfba9ddc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005427", "prompt": "Solve the equation x = 18(x + 3860) - 67474 for x.", "solution_steps": ["Expand: x = 18x + 69480 - 67474", "Combine constants: x = 18x + 2006", "Subtract 18x from both sides: -17x = 2006", "Divide both sides by -17: x = -118"], "final_answer": "-118", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 18(x + 3860) - 67474", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3860, \"d\": -67474, \"x\": -118}", "seed": "3002477052153795230", "semantic_fingerprint": "sha256:8d3ba5b54da302b4873afffca70788c20ad48c89601d6c7b81919310e8240736", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005428", "prompt": "What value of x satisfies -23x = -22(x - 2269)?", "solution_steps": ["Expand: -23x = -22x + 49918", "Add 22x to both sides: -x = 49918", "Divide both sides by -1: x = -49918"], "final_answer": "-49918", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x = -22(x - 2269)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": -22, \"c\": 2269}", "seed": "15518071489720150592", "semantic_fingerprint": "sha256:659e8e21ff4c79d2e544b11d3b5b20dd10416afe400aa73e0b2b11df869eac35", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005429", "prompt": "Calculate: 23956 / (-2626 - 8478) + 7421 * (-1531)", "solution_steps": ["Subtract: -2626 - 8478 = -11104", "Divide: 23956 / (-11104) = -5989/2776", "Multiply: 7421 * (-1531) = -11361551", "Add: -5989/2776 + (-11361551) = -31539671565/2776"], "final_answer": "-31539671565/2776", "answer_type": "rational", "kind": "expression", "math_text": "23956 / (-2626 - 8478) + 7421 * (-1531)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23956, \"b\": -2626, \"c\": 8478, \"d\": 7421, \"e\": -1531}", "seed": "17016038318532809058", "semantic_fingerprint": "sha256:19153316ae94323f6dbe9fe8b6935124bafc8000a1cd1358c3695cbbe2851bb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005430", "prompt": "Evaluate: (-1461 - 1576 * (-3813)) * (-76091)", "solution_steps": ["Multiply: 1576 * (-3813) = -6009288", "Subtract: -1461 - (-6009288) = 6007827", "Multiply: 6007827 * (-76091) = -457141564257"], "final_answer": "-457141564257", "answer_type": "integer", "kind": "expression", "math_text": "(-1461 - 1576 * (-3813)) * (-76091)", "variable": null, "family": "expression_3op", "shape": "(* (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1461, \"b\": 1576, \"c\": -3813, \"d\": -76091}", "seed": "10681484004660693100", "semantic_fingerprint": "sha256:4449d267da3d464a27c06cd1a71e064a4bc8c79eb7080438f9119ae8bc5addda", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005431", "prompt": "Solve for x: 27x + 57008 = 29(x - 1830) - 6802", "solution_steps": ["Expand: 27x + 57008 = 29x - 53070 - 6802", "Combine constants: 27x + 57008 = 29x - 59872", "Subtract 29x from both sides: -2x + 57008 = -59872", "Subtract 57008 from both sides: -2x = -116880", "Divide both sides by -2: x = 58440"], "final_answer": "58440", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x + 57008 = 29(x - 1830) - 6802", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 57008, \"c\": 29, \"d\": 1830, \"e\": 6802}", "seed": "7836823619016825168", "semantic_fingerprint": "sha256:ceef2e26f402b53abce56b1e9a1e9a7695f1c33234911ef98728291b86361bdc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005432", "prompt": "Evaluate: 56372 + (19327 - 3024 / ((8519 - (-8488)) / (-2426)))", "solution_steps": ["Subtract: 8519 - (-8488) = 17007", "Divide: 17007 / (-2426) = -17007/2426", "Divide: 3024 / (-17007/2426) = -2445408/5669", "Subtract: 19327 - (-2445408/5669) = 112010171/5669", "Add: 56372 + 112010171/5669 = 431583039/5669"], "final_answer": "431583039/5669", "answer_type": "rational", "kind": "expression", "math_text": "56372 + (19327 - 3024 / ((8519 - (-8488)) / (-2426)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (/ n (/ (- n n) n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 56372, \"b\": 19327, \"c\": 3024, \"d\": 8519, \"e\": -8488, \"f\": -2426}", "seed": "1124452039421455427", "semantic_fingerprint": "sha256:54ce5f10fefe68028fae742b6fadf96c3ea87a9b4e724fdd6b0f90a5807dc253", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005433", "prompt": "Solve the equation 24x = 29(x - 65247) for x.", "solution_steps": ["Expand: 24x = 29x - 1892163", "Subtract 29x from both sides: -5x = -1892163", "Divide both sides by -5: x = 1892163/5"], "final_answer": "1892163/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x = 29(x - 65247)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 29, \"c\": 65247}", "seed": "3667357381298904100", "semantic_fingerprint": "sha256:61951b2fe355b3e613478b30f31e3abb1b829bdf2730e1a08e9303f2b4cd6e9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005434", "prompt": "Evaluate: -97968 * (-9723) - (-30256)", "solution_steps": ["Multiply: -97968 * (-9723) = 952542864", "Subtract: 952542864 - (-30256) = 952573120"], "final_answer": "952573120", "answer_type": "integer", "kind": "expression", "math_text": "-97968 * (-9723) - (-30256)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97968, \"b\": -9723, \"c\": -30256}", "seed": "14582862255986136513", "semantic_fingerprint": "sha256:82856ef0315325cd28c2ee40e3c1f43de6e82a29fb95417be6a122478ba0cc20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005435", "prompt": "Evaluate: 26498 * 2377 - 73147", "solution_steps": ["Multiply: 26498 * 2377 = 62985746", "Subtract: 62985746 - 73147 = 62912599"], "final_answer": "62912599", "answer_type": "integer", "kind": "expression", "math_text": "26498 * 2377 - 73147", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26498, \"b\": 2377, \"c\": 73147}", "seed": "6973945508826317346", "semantic_fingerprint": "sha256:6f28008f04fc25750d14322d6e36e8eb35c1f33e35dd2bcb3911c1dc19b95016", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005436", "prompt": "Calculate: -88410 * 2121 / 6151", "solution_steps": ["Multiply: -88410 * 2121 = -187517610", "Divide: -187517610 / 6151 = -187517610/6151"], "final_answer": "-187517610/6151", "answer_type": "rational", "kind": "expression", "math_text": "-88410 * 2121 / 6151", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88410, \"b\": 2121, \"c\": 6151}", "seed": "13324523560390259810", "semantic_fingerprint": "sha256:f76fd0abcbcd7f90659c35910bca29153d869f09745a17f9ce634231bbcb5676", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005437", "prompt": "Solve the equation 31x - 4410 = x for x.", "solution_steps": ["Subtract x from both sides: 30x - 4410 = 0", "Add 4410 to both sides: 30x = 4410", "Divide both sides by 30: x = 147"], "final_answer": "147", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x - 4410 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"c\": -4410, \"x\": 147}", "seed": "2734467363773008697", "semantic_fingerprint": "sha256:15143c0515b89bac0ab960d3bcd9cfe701148db1cd026e7877e878cce1d6302c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005438", "prompt": "Solve the equation x + 57590 = 17x + 60742 for x.", "solution_steps": ["Subtract 17x from both sides: -16x + 57590 = 60742", "Subtract 57590 from both sides: -16x = 3152", "Divide both sides by -16: x = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 57590 = 17x + 60742", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 57590, \"b\": 17, \"d\": 60742, \"x\": -197}", "seed": "8882962682401588776", "semantic_fingerprint": "sha256:6b31ad23cea3412413dfb03ff65b09fe1ea1e491064f0955d7050ed2e2a736c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005439", "prompt": "Compute: 7648 + (-7846)", "solution_steps": ["Add: 7648 + (-7846) = -198"], "final_answer": "-198", "answer_type": "integer", "kind": "expression", "math_text": "7648 + (-7846)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7648, \"b\": -7846}", "seed": "4862599008079646090", "semantic_fingerprint": "sha256:321f577836a9898bc488fb5eead89973637be55ec61568ce13b820201c99222b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005440", "prompt": "What value of x satisfies x + 74378 = 30(x - 81491)?", "solution_steps": ["Expand: x + 74378 = 30x - 2444730", "Subtract 30x from both sides: -29x + 74378 = -2444730", "Subtract 74378 from both sides: -29x = -2519108", "Divide both sides by -29: x = 2519108/29"], "final_answer": "2519108/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 74378 = 30(x - 81491)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 74378, \"b\": 30, \"c\": 81491}", "seed": "7089208135599989196", "semantic_fingerprint": "sha256:6e2aa61b01d40e99ac09584c361ce9fd149ec8168cc2ab5fd93087a26c94523d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005441", "prompt": "Solve for x: 19(x + 30774) = x", "solution_steps": ["Expand: 19x + 584706 = x", "Subtract x from both sides: 18x + 584706 = 0", "Subtract 584706 from both sides: 18x = -584706", "Divide both sides by 18: x = -97451/3"], "final_answer": "-97451/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 30774) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 30774}", "seed": "2266341116218459075", "semantic_fingerprint": "sha256:efb1f247b4094f63c07fc010eaf029d05d31300de23c555286df6839fe4040c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005442", "prompt": "Evaluate: (3267 - (-9615)) * (-45736 + 1269)", "solution_steps": ["Subtract: 3267 - (-9615) = 12882", "Add: -45736 + 1269 = -44467", "Multiply: 12882 * (-44467) = -572823894"], "final_answer": "-572823894", "answer_type": "integer", "kind": "expression", "math_text": "(3267 - (-9615)) * (-45736 + 1269)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3267, \"b\": -9615, \"c\": -45736, \"d\": 1269}", "seed": "5508007506523722741", "semantic_fingerprint": "sha256:0903a867105eb65658f4d80ef963e85ac69c1fde3a725fbe6c32de5342126de7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005443", "prompt": "Find x: 31(x + 6309) - 22916 = 27(x + 8360) - 53705", "solution_steps": ["Expand: 31x + 195579 - 22916 = 27(x + 8360) - 53705", "Expand: 31x + 195579 - 22916 = 27x + 225720 - 53705", "Combine constants: 31x + 172663 = 27x + 225720 - 53705", "Combine constants: 31x + 172663 = 27x + 172015", "Subtract 27x from both sides: 4x + 172663 = 172015", "Subtract 172663 from both sides: 4x = -648", "Divide both sides by 4: x = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x + 6309) - 22916 = 27(x + 8360) - 53705", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 6309, \"c\": 22916, \"d\": 27, \"e\": 8360, \"g\": -53705, \"x\": -162}", "seed": "7915655224130334750", "semantic_fingerprint": "sha256:1882bb05a52c65e1ee9605d48946a319d16e71327db87f800b48c7056e75100f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005444", "prompt": "What is (-47600 - (-7628 + (-2013))) / 2887?", "solution_steps": ["Add: -7628 + (-2013) = -9641", "Subtract: -47600 - (-9641) = -37959", "Divide: -37959 / 2887 = -37959/2887"], "final_answer": "-37959/2887", "answer_type": "rational", "kind": "expression", "math_text": "(-47600 - (-7628 + (-2013))) / 2887", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -47600, \"b\": -7628, \"c\": -2013, \"d\": 2887}", "seed": "12501280585942776736", "semantic_fingerprint": "sha256:105ee3df180084c880a116cb0e7c4c4583537a41c1671dc1d459d98b90fe4018", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005445", "prompt": "Solve for x: 23(x + 9370) - 97362 = 29(x - 3103) - 1772", "solution_steps": ["Expand: 23x + 215510 - 97362 = 29(x - 3103) - 1772", "Expand: 23x + 215510 - 97362 = 29x - 89987 - 1772", "Combine constants: 23x + 118148 = 29x - 89987 - 1772", "Combine constants: 23x + 118148 = 29x - 91759", "Subtract 29x from both sides: -6x + 118148 = -91759", "Subtract 118148 from both sides: -6x = -209907", "Divide both sides by -6: x = 69969/2"], "final_answer": "69969/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 9370) - 97362 = 29(x - 3103) - 1772", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 9370, \"c\": 97362, \"d\": 29, \"e\": 3103, \"f\": 1772}", "seed": "1056720044680446600", "semantic_fingerprint": "sha256:1c1f61259738c36546a34ab56560a0ad769f9d76def873d316ee4ba160e154cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005446", "prompt": "Calculate: 35761 + (-2263)", "solution_steps": ["Add: 35761 + (-2263) = 33498"], "final_answer": "33498", "answer_type": "integer", "kind": "expression", "math_text": "35761 + (-2263)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 35761, \"b\": -2263}", "seed": "13209727719762669981", "semantic_fingerprint": "sha256:4bfea9124f5ed391e0c182a1296d5371543126df0039d8c3e2e3a6985b84552c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005447", "prompt": "Calculate: -8016 - (-6492) * 5205", "solution_steps": ["Multiply: -6492 * 5205 = -33790860", "Subtract: -8016 - (-33790860) = 33782844"], "final_answer": "33782844", "answer_type": "integer", "kind": "expression", "math_text": "-8016 - (-6492) * 5205", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8016, \"b\": -6492, \"c\": 5205}", "seed": "10411796996142798569", "semantic_fingerprint": "sha256:aee46c78d91eec903662393d67594a8f9512490ec59378c18c9921c8fb2fa7e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005448", "prompt": "Evaluate: 7247 - 47474", "solution_steps": ["Subtract: 7247 - 47474 = -40227"], "final_answer": "-40227", "answer_type": "integer", "kind": "expression", "math_text": "7247 - 47474", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7247, \"b\": 47474}", "seed": "1007755803105495634", "semantic_fingerprint": "sha256:11b10b8ea8eb53f08f19b98c6971137dd1b63620d41030a167d375737a736ff3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005449", "prompt": "What is 4684 - (-27838 - 67710 - (-11373))?", "solution_steps": ["Subtract: -27838 - 67710 = -95548", "Subtract: -95548 - (-11373) = -84175", "Subtract: 4684 - (-84175) = 88859"], "final_answer": "88859", "answer_type": "integer", "kind": "expression", "math_text": "4684 - (-27838 - 67710 - (-11373))", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4684, \"b\": -27838, \"c\": 67710, \"d\": -11373}", "seed": "2345212613166280562", "semantic_fingerprint": "sha256:f480122cfcfd3da710e0afe0ed176aaa1cad602f3fd6db4d7c9a409cfe037e79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005450", "prompt": "What is 3160 / (6513 / (-2570))?", "solution_steps": ["Divide: 6513 / (-2570) = -6513/2570", "Divide: 3160 / (-6513/2570) = -8121200/6513"], "final_answer": "-8121200/6513", "answer_type": "rational", "kind": "expression", "math_text": "3160 / (6513 / (-2570))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3160, \"b\": 6513, \"c\": -2570}", "seed": "18404257745628416587", "semantic_fingerprint": "sha256:96a53c679649652054d0ce4ce8c8a96c5f8e588c51f369378df949b3e1253146", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005451", "prompt": "Calculate: (-94151 - (-45901 + (-84201))) / 49317", "solution_steps": ["Add: -45901 + (-84201) = -130102", "Subtract: -94151 - (-130102) = 35951", "Divide: 35951 / 49317 = 35951/49317"], "final_answer": "35951/49317", "answer_type": "rational", "kind": "expression", "math_text": "(-94151 - (-45901 + (-84201))) / 49317", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -94151, \"b\": -45901, \"c\": -84201, \"d\": 49317}", "seed": "17820036762488154696", "semantic_fingerprint": "sha256:a5e73a8a3109d15fec9df323d6fe804d403a4f5f218e6a797448591526f335da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005452", "prompt": "What value of x satisfies 34(x + 5818) + 98149 = 27x + 78231?", "solution_steps": ["Expand: 34x + 197812 + 98149 = 27x + 78231", "Combine constants: 34x + 295961 = 27x + 78231", "Subtract 27x from both sides: 7x + 295961 = 78231", "Subtract 295961 from both sides: 7x = -217730", "Divide both sides by 7: x = -217730/7"], "final_answer": "-217730/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 5818) + 98149 = 27x + 78231", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 5818, \"c\": 98149, \"d\": 27, \"e\": 78231}", "seed": "14845300398868529181", "semantic_fingerprint": "sha256:d358ed490c439a5a6c17491292acf642be4fd6d86d55d3f4a5628064899a03b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005453", "prompt": "What value of x satisfies 34x + 2899 = 33(x + 70696)?", "solution_steps": ["Expand: 34x + 2899 = 33x + 2332968", "Subtract 33x from both sides: x + 2899 = 2332968", "Subtract 2899 from both sides: x = 2330069"], "final_answer": "2330069", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x + 2899 = 33(x + 70696)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 2899, \"c\": 33, \"d\": 70696}", "seed": "7072602611192681270", "semantic_fingerprint": "sha256:477f242a89b91c0b64c8097ded80f9a1e062aa55f79e1b620120aa0cf43a57c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005454", "prompt": "Compute: 30667 - (-1562 / (-5902) + 5044)", "solution_steps": ["Divide: -1562 / (-5902) = 781/2951", "Add: 781/2951 + 5044 = 14885625/2951", "Subtract: 30667 - 14885625/2951 = 75612692/2951"], "final_answer": "75612692/2951", "answer_type": "rational", "kind": "expression", "math_text": "30667 - (-1562 / (-5902) + 5044)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30667, \"b\": -1562, \"c\": -5902, \"d\": 5044}", "seed": "3828267553360530854", "semantic_fingerprint": "sha256:d7d110bafc1c166eafe202a4406011b32c008e6db3b2c363aad5b61d34994daf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005455", "prompt": "Compute: -7084 / (-90311 - 2522)", "solution_steps": ["Subtract: -90311 - 2522 = -92833", "Divide: -7084 / (-92833) = 7084/92833"], "final_answer": "7084/92833", "answer_type": "rational", "kind": "expression", "math_text": "-7084 / (-90311 - 2522)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7084, \"b\": -90311, \"c\": 2522}", "seed": "11872505932285447240", "semantic_fingerprint": "sha256:90389bea866d725b67474e430adea88d03e6d0ab41360381b95c54f4f21271da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005456", "prompt": "Solve for x: 32x = 25(x - 9021) - 9464", "solution_steps": ["Expand: 32x = 25x - 225525 - 9464", "Combine constants: 32x = 25x - 234989", "Subtract 25x from both sides: 7x = -234989", "Divide both sides by 7: x = -234989/7"], "final_answer": "-234989/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x = 25(x - 9021) - 9464", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 25, \"c\": 9021, \"d\": 9464}", "seed": "3000151504650117345", "semantic_fingerprint": "sha256:00330531c4c8b64f3e77b2874ddc0c1e899adb53d25e128653092bfec50b4eb0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005457", "prompt": "What is -7808 + (-25620)?", "solution_steps": ["Add: -7808 + (-25620) = -33428"], "final_answer": "-33428", "answer_type": "integer", "kind": "expression", "math_text": "-7808 + (-25620)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7808, \"b\": -25620}", "seed": "10849586322231807452", "semantic_fingerprint": "sha256:64ea7e25eafe71a14f8564bd3a2e58c3aba7b90aeafb68e9e26e058f37662f16", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005458", "prompt": "Calculate: -9922 * (-6145)", "solution_steps": ["Multiply: -9922 * (-6145) = 60970690"], "final_answer": "60970690", "answer_type": "integer", "kind": "expression", "math_text": "-9922 * (-6145)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9922, \"b\": -6145}", "seed": "8529336071078259509", "semantic_fingerprint": "sha256:be4b185e1804cb2756b0c3bcd1234a52891d1dda2acd10b54a4f66dfdd7e3dd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005459", "prompt": "Find x: 22(x + 6776) - 47900 = 98664", "solution_steps": ["Expand: 22x + 149072 - 47900 = 98664", "Combine constants: 22x + 101172 = 98664", "Subtract 101172 from both sides: 22x = -2508", "Divide both sides by 22: x = -114"], "final_answer": "-114", "answer_type": "integer", "kind": "linear_equation", "math_text": "22(x + 6776) - 47900 = 98664", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 6776, \"c\": 47900, \"e\": 98664, \"x\": -114}", "seed": "17652212120887833533", "semantic_fingerprint": "sha256:7b3ef4e16154615ccd8836d1fd185ff4619a729e7cf70f32391c56a235d42a6e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005460", "prompt": "Evaluate: (3732 + (-39446)) * (-3802)", "solution_steps": ["Add: 3732 + (-39446) = -35714", "Multiply: -35714 * (-3802) = 135784628"], "final_answer": "135784628", "answer_type": "integer", "kind": "expression", "math_text": "(3732 + (-39446)) * (-3802)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3732, \"b\": -39446, \"c\": -3802}", "seed": "15604522301149508988", "semantic_fingerprint": "sha256:1f84c30a1b518716c3046b87b6ce593a60f271a17548a228b80a3a2cdc3baa55", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005461", "prompt": "Compute: 8732 + (-48516 - (-97072))", "solution_steps": ["Subtract: -48516 - (-97072) = 48556", "Add: 8732 + 48556 = 57288"], "final_answer": "57288", "answer_type": "integer", "kind": "expression", "math_text": "8732 + (-48516 - (-97072))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8732, \"b\": -48516, \"c\": -97072}", "seed": "10487493445649026000", "semantic_fingerprint": "sha256:ecb1904028c80846122640d366f1a2a3ec29c960de48c6beaf5ccbfe120909f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005462", "prompt": "Find x: 20x = 3360", "solution_steps": ["Divide both sides by 20: x = 168"], "final_answer": "168", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = 3360", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 3360, \"x\": 168}", "seed": "11869868991900513744", "semantic_fingerprint": "sha256:c44387a190050222ef651208c51d9155689297b7a103ea8d1472761139d83184", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005463", "prompt": "What is -52563 + 9777 + 9390 * 8112?", "solution_steps": ["Add: -52563 + 9777 = -42786", "Multiply: 9390 * 8112 = 76171680", "Add: -42786 + 76171680 = 76128894"], "final_answer": "76128894", "answer_type": "integer", "kind": "expression", "math_text": "-52563 + 9777 + 9390 * 8112", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -52563, \"b\": 9777, \"c\": 9390, \"d\": 8112}", "seed": "2517372201490739622", "semantic_fingerprint": "sha256:e2f7be1f52114d5a2c875e620313e94e62f350e5a5462aee8f0ba9bbe2eb11a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005464", "prompt": "Compute: -18177 + (89564 - 53193) / (-2077)", "solution_steps": ["Subtract: 89564 - 53193 = 36371", "Divide: 36371 / (-2077) = -36371/2077", "Add: -18177 + (-36371/2077) = -37790000/2077"], "final_answer": "-37790000/2077", "answer_type": "rational", "kind": "expression", "math_text": "-18177 + (89564 - 53193) / (-2077)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18177, \"b\": 89564, \"c\": 53193, \"d\": -2077}", "seed": "4968216523521524369", "semantic_fingerprint": "sha256:9fae86559d2953635efc4413f9e212a50a8a8fc2d12f810a2cf0e217ba972e23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005465", "prompt": "Solve for x: 25(x - 4659) = x", "solution_steps": ["Expand: 25x - 116475 = x", "Subtract x from both sides: 24x - 116475 = 0", "Add 116475 to both sides: 24x = 116475", "Divide both sides by 24: x = 38825/8"], "final_answer": "38825/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x - 4659) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 4659}", "seed": "17041861141379692949", "semantic_fingerprint": "sha256:2b9c6294be18d0a0da926a82006ed990401349998f382226a4dd322d1dd284bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005466", "prompt": "Compute: 59653 + (-3441 + 94356) / (-60388)", "solution_steps": ["Add: -3441 + 94356 = 90915", "Divide: 90915 / (-60388) = -90915/60388", "Add: 59653 + (-90915/60388) = 3602234449/60388"], "final_answer": "3602234449/60388", "answer_type": "rational", "kind": "expression", "math_text": "59653 + (-3441 + 94356) / (-60388)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 59653, \"b\": -3441, \"c\": 94356, \"d\": -60388}", "seed": "11583463756361449151", "semantic_fingerprint": "sha256:a0f7e2ae7dd54bb305dfd084bf8200a6dad8ce2a91d34398886886e1efc692bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005467", "prompt": "What is -9114 * (-76898 + (1996 / (-4278) - 4901))?", "solution_steps": ["Divide: 1996 / (-4278) = -998/2139", "Subtract: -998/2139 - 4901 = -10484237/2139", "Add: -76898 + (-10484237/2139) = -174969059/2139", "Multiply: -9114 * (-174969059/2139) = 17146967782/23"], "final_answer": "17146967782/23", "answer_type": "rational", "kind": "expression", "math_text": "-9114 * (-76898 + (1996 / (-4278) - 4901))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (- (/ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9114, \"b\": -76898, \"c\": 1996, \"d\": -4278, \"e\": 4901}", "seed": "8953891024730753708", "semantic_fingerprint": "sha256:252a1b382c3d8c47a29f44f44e480d19f64805643dff8e1cf1e43e0d6143921d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005468", "prompt": "What is -44337 / 5746?", "solution_steps": ["Divide: -44337 / 5746 = -44337/5746"], "final_answer": "-44337/5746", "answer_type": "rational", "kind": "expression", "math_text": "-44337 / 5746", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -44337, \"b\": 5746}", "seed": "4643299026796856109", "semantic_fingerprint": "sha256:1b0dcbe941a235c46ac6aeab31c1fa9f2414b9c1bf92804844f5ba68b5232d0f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005469", "prompt": "Compute: -1890 * 2926 / ((-4998 - (-79670)) / 7458)", "solution_steps": ["Multiply: -1890 * 2926 = -5530140", "Subtract: -4998 - (-79670) = 74672", "Divide: 74672 / 7458 = 37336/3729", "Divide: -5530140 / (37336/3729) = -5155473015/9334"], "final_answer": "-5155473015/9334", "answer_type": "rational", "kind": "expression", "math_text": "-1890 * 2926 / ((-4998 - (-79670)) / 7458)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1890, \"b\": 2926, \"c\": -4998, \"d\": -79670, \"e\": 7458}", "seed": "2558361640041663712", "semantic_fingerprint": "sha256:4b80db29b521763808a075ff983477770937b4df9c201d3d372fb8ed2271bcac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005470", "prompt": "Find x: 31(x + 63386) - 7374 = 34x + 35780", "solution_steps": ["Expand: 31x + 1964966 - 7374 = 34x + 35780", "Combine constants: 31x + 1957592 = 34x + 35780", "Subtract 34x from both sides: -3x + 1957592 = 35780", "Subtract 1957592 from both sides: -3x = -1921812", "Divide both sides by -3: x = 640604"], "final_answer": "640604", "answer_type": "integer", "kind": "linear_equation", "math_text": "31(x + 63386) - 7374 = 34x + 35780", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 63386, \"c\": 7374, \"d\": 34, \"e\": 35780}", "seed": "1392254259007685808", "semantic_fingerprint": "sha256:205ac61f3f91254af51b873a38a0577f8042ee2a6baf5eaeee87f6cf642ac5be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005471", "prompt": "Solve for x: 14(x - 2635) = 16(x - 6941)", "solution_steps": ["Expand: 14x - 36890 = 16(x - 6941)", "Expand: 14x - 36890 = 16x - 111056", "Subtract 16x from both sides: -2x - 36890 = -111056", "Add 36890 to both sides: -2x = -74166", "Divide both sides by -2: x = 37083"], "final_answer": "37083", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 2635) = 16(x - 6941)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2635, \"c\": 16, \"d\": 6941}", "seed": "6099777156744094648", "semantic_fingerprint": "sha256:b5bb5a8884dae56e0dace326724131a2853cec5c283df4046589876f31f85d2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005472", "prompt": "Find x: 23x - 5666 = x - 2212", "solution_steps": ["Subtract x from both sides: 22x - 5666 = -2212", "Add 5666 to both sides: 22x = 3454", "Divide both sides by 22: x = 157"], "final_answer": "157", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x - 5666 = x - 2212", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5666, \"d\": -2212, \"x\": 157}", "seed": "14403542960455716857", "semantic_fingerprint": "sha256:b57b3fc60b5b0492ad0c0baac47867803fbde31402823d95bf762b0ecd29376e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005473", "prompt": "What value of x satisfies x + 66598 = 18(x + 7152) - 43951?", "solution_steps": ["Expand: x + 66598 = 18x + 128736 - 43951", "Combine constants: x + 66598 = 18x + 84785", "Subtract 18x from both sides: -17x + 66598 = 84785", "Subtract 66598 from both sides: -17x = 18187", "Divide both sides by -17: x = -18187/17"], "final_answer": "-18187/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 66598 = 18(x + 7152) - 43951", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 66598, \"b\": 18, \"c\": 7152, \"d\": 43951}", "seed": "2592854665508297145", "semantic_fingerprint": "sha256:6b7ad230567344571b9ac41e309854633a6ddcdbda3fe48bb57ac7b6266c6918", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005474", "prompt": "Evaluate: (-2217 + 9321) * 5133", "solution_steps": ["Add: -2217 + 9321 = 7104", "Multiply: 7104 * 5133 = 36464832"], "final_answer": "36464832", "answer_type": "integer", "kind": "expression", "math_text": "(-2217 + 9321) * 5133", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2217, \"b\": 9321, \"c\": 5133}", "seed": "17964375166276200491", "semantic_fingerprint": "sha256:83768a6a4b673bd7a1088dc42c740ea280442b9eb809b3e7a8d172ac1b6ef006", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005475", "prompt": "Calculate: 5324 * (-8572 / (-93456 / 4557))", "solution_steps": ["Divide: -93456 / 4557 = -31152/1519", "Divide: -8572 / (-31152/1519) = 3255217/7788", "Multiply: 5324 * (3255217/7788) = 393881257/177"], "final_answer": "393881257/177", "answer_type": "rational", "kind": "expression", "math_text": "5324 * (-8572 / (-93456 / 4557))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5324, \"b\": -8572, \"c\": -93456, \"d\": 4557}", "seed": "16512803118130509142", "semantic_fingerprint": "sha256:e7053129d592d16da2dd0d33365f05c7b8c269b894c677c31ef35d9ede3657d3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005476", "prompt": "Evaluate: 3898 - (67865 - 7057)", "solution_steps": ["Subtract: 67865 - 7057 = 60808", "Subtract: 3898 - 60808 = -56910"], "final_answer": "-56910", "answer_type": "integer", "kind": "expression", "math_text": "3898 - (67865 - 7057)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3898, \"b\": 67865, \"c\": 7057}", "seed": "4745277768046001763", "semantic_fingerprint": "sha256:eff801b4503b52f47867ed33a2d3be8b24b1be101d3ad5489c2fc55d49251827", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005477", "prompt": "What is -79497 + 7067 + (-5559) / (-8564)?", "solution_steps": ["Add: -79497 + 7067 = -72430", "Divide: -5559 / (-8564) = 5559/8564", "Add: -72430 + 5559/8564 = -620284961/8564"], "final_answer": "-620284961/8564", "answer_type": "rational", "kind": "expression", "math_text": "-79497 + 7067 + (-5559) / (-8564)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -79497, \"b\": 7067, \"c\": -5559, \"d\": -8564}", "seed": "14209240843001462925", "semantic_fingerprint": "sha256:a51e9fdbe55747d851feb196d4368ae1be7db789ac8700bcb6f0da40bb421044", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005478", "prompt": "Calculate: (-7199 - (-7992) + 8933) / (-76114 - (-2618))", "solution_steps": ["Subtract: -7199 - (-7992) = 793", "Add: 793 + 8933 = 9726", "Subtract: -76114 - (-2618) = -73496", "Divide: 9726 / (-73496) = -4863/36748"], "final_answer": "-4863/36748", "answer_type": "rational", "kind": "expression", "math_text": "(-7199 - (-7992) + 8933) / (-76114 - (-2618))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7199, \"b\": -7992, \"c\": 8933, \"d\": -76114, \"e\": -2618}", "seed": "10825383035000504926", "semantic_fingerprint": "sha256:56bacaff34a1d8072edad597fdc6a52f7db66c70cb17f6a25f8d6d589bfcfc7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005479", "prompt": "Compute: -13133 + (-6161 + (-27452) + (-32296))", "solution_steps": ["Add: -6161 + (-27452) = -33613", "Add: -33613 + (-32296) = -65909", "Add: -13133 + (-65909) = -79042"], "final_answer": "-79042", "answer_type": "integer", "kind": "expression", "math_text": "-13133 + (-6161 + (-27452) + (-32296))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13133, \"b\": -6161, \"c\": -27452, \"d\": -32296}", "seed": "5031106322962719778", "semantic_fingerprint": "sha256:9cf6728330a082e3bde8e8c27ccfeb84b0c3123c9cf0606f96a22256b567e696", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005480", "prompt": "Solve for x: 31(x + 92364) + 6751 = 35(x - 63055) + 2659", "solution_steps": ["Expand: 31x + 2863284 + 6751 = 35(x - 63055) + 2659", "Expand: 31x + 2863284 + 6751 = 35x - 2206925 + 2659", "Combine constants: 31x + 2870035 = 35x - 2206925 + 2659", "Combine constants: 31x + 2870035 = 35x - 2204266", "Subtract 35x from both sides: -4x + 2870035 = -2204266", "Subtract 2870035 from both sides: -4x = -5074301", "Divide both sides by -4: x = 5074301/4"], "final_answer": "5074301/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 92364) + 6751 = 35(x - 63055) + 2659", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 92364, \"c\": 6751, \"d\": 35, \"e\": 63055, \"f\": 2659}", "seed": "5905896875233946192", "semantic_fingerprint": "sha256:88fcbee44dbe9d59ab433049c9608c72fc15191a13f014bbdd018264a1449359", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005481", "prompt": "Find x: x = 30x - 41545", "solution_steps": ["Subtract 30x from both sides: -29x = -41545", "Divide both sides by -29: x = 41545/29"], "final_answer": "41545/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 30x - 41545", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 41545}", "seed": "9020734125503844047", "semantic_fingerprint": "sha256:d6b978c33924ed3788461df24b2c138ad4026e6a74a60837313404a85bbcac9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005482", "prompt": "Solve for x: 18(x - 6408) - 19385 = x", "solution_steps": ["Expand: 18x - 115344 - 19385 = x", "Combine constants: 18x - 134729 = x", "Subtract x from both sides: 17x - 134729 = 0", "Add 134729 to both sides: 17x = 134729", "Divide both sides by 17: x = 134729/17"], "final_answer": "134729/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x - 6408) - 19385 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 6408, \"c\": 19385}", "seed": "7332407497786023843", "semantic_fingerprint": "sha256:f1ede3cd858ebb54d701b8cf670550bbdb04034e4595168ba02659bc2e60f91a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005483", "prompt": "Compute: -5951 / 6983", "solution_steps": ["Divide: -5951 / 6983 = -5951/6983"], "final_answer": "-5951/6983", "answer_type": "rational", "kind": "expression", "math_text": "-5951 / 6983", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5951, \"b\": 6983}", "seed": "4757591594130712546", "semantic_fingerprint": "sha256:576d628823cfa6ad2c12008c22c5b1bfdf596a4471edc60ee0c3a85fd82dce9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005484", "prompt": "What is 1801 * (-3846)?", "solution_steps": ["Multiply: 1801 * (-3846) = -6926646"], "final_answer": "-6926646", "answer_type": "integer", "kind": "expression", "math_text": "1801 * (-3846)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1801, \"b\": -3846}", "seed": "5438587053269021015", "semantic_fingerprint": "sha256:2ad566999dad5c8a9fbb05baf2736be5392ed1a4cb0cf9599a2e804859d8fa9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005485", "prompt": "Evaluate: (71960 * 44300 + 41451 - 23112) / (-59089 - (-67721))", "solution_steps": ["Multiply: 71960 * 44300 = 3187828000", "Add: 3187828000 + 41451 = 3187869451", "Subtract: 3187869451 - 23112 = 3187846339", "Subtract: -59089 - (-67721) = 8632", "Divide: 3187846339 / 8632 = 3187846339/8632"], "final_answer": "3187846339/8632", "answer_type": "rational", "kind": "expression", "math_text": "(71960 * 44300 + 41451 - 23112) / (-59089 - (-67721))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ (* n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 71960, \"b\": 44300, \"c\": 41451, \"d\": 23112, \"e\": -59089, \"f\": -67721}", "seed": "13017753834237765173", "semantic_fingerprint": "sha256:cdfc219922398bf5641bd76e3cf57e4a4dd568e1da921d51066bb6aa2c98c6f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005486", "prompt": "Calculate: 55782 * (6261 + (-3869))", "solution_steps": ["Add: 6261 + (-3869) = 2392", "Multiply: 55782 * 2392 = 133430544"], "final_answer": "133430544", "answer_type": "integer", "kind": "expression", "math_text": "55782 * (6261 + (-3869))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 55782, \"b\": 6261, \"c\": -3869}", "seed": "11766191653124918217", "semantic_fingerprint": "sha256:f93a7805b873cf787bac2bc39b8db6c8047d738d7e1a4e2ca1c1c6cdeb2fb75c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005487", "prompt": "Compute: (-6436 + (-9705 - 7412)) * (70630 - (-22110) - 1942)", "solution_steps": ["Subtract: -9705 - 7412 = -17117", "Add: -6436 + (-17117) = -23553", "Subtract: 70630 - (-22110) = 92740", "Subtract: 92740 - 1942 = 90798", "Multiply: -23553 * 90798 = -2138565294"], "final_answer": "-2138565294", "answer_type": "integer", "kind": "expression", "math_text": "(-6436 + (-9705 - 7412)) * (70630 - (-22110) - 1942)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- n n)) (- (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6436, \"b\": -9705, \"c\": 7412, \"d\": 70630, \"e\": -22110, \"f\": 1942}", "seed": "10314111778235836971", "semantic_fingerprint": "sha256:fa37b3fcc8a7afeaa5ec4305ab3367d644539ff6195bcaa8228fca3ba5dd40bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005488", "prompt": "What is 2581 * 8764?", "solution_steps": ["Multiply: 2581 * 8764 = 22619884"], "final_answer": "22619884", "answer_type": "integer", "kind": "expression", "math_text": "2581 * 8764", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2581, \"b\": 8764}", "seed": "1503218986949044421", "semantic_fingerprint": "sha256:3c91da5f34abcdf7122b2869fc4bc82f602a08e3f21ccb84763a9a5803c8b5c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005489", "prompt": "Compute: 3579 + 8509 + 6368 - (-5123 - (-68813))", "solution_steps": ["Add: 3579 + 8509 = 12088", "Add: 12088 + 6368 = 18456", "Subtract: -5123 - (-68813) = 63690", "Subtract: 18456 - 63690 = -45234"], "final_answer": "-45234", "answer_type": "integer", "kind": "expression", "math_text": "3579 + 8509 + 6368 - (-5123 - (-68813))", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3579, \"b\": 8509, \"c\": 6368, \"d\": -5123, \"e\": -68813}", "seed": "14196081363008748670", "semantic_fingerprint": "sha256:998af1ed981ea0682326a08ca4f8b1a8f8be4a6b3f709dae68d6a1a996bad738", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005490", "prompt": "Calculate: 9152 - (-6581)", "solution_steps": ["Subtract: 9152 - (-6581) = 15733"], "final_answer": "15733", "answer_type": "integer", "kind": "expression", "math_text": "9152 - (-6581)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9152, \"b\": -6581}", "seed": "896071975794546950", "semantic_fingerprint": "sha256:cd48e39b739f32855fb644476437ae5ee1764cf2cb7d6b1a0c6f907057f5b914", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005491", "prompt": "What is 4832 / 1363 + (-10001 + (-1490))?", "solution_steps": ["Divide: 4832 / 1363 = 4832/1363", "Add: -10001 + (-1490) = -11491", "Add: 4832/1363 + (-11491) = -15657401/1363"], "final_answer": "-15657401/1363", "answer_type": "rational", "kind": "expression", "math_text": "4832 / 1363 + (-10001 + (-1490))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4832, \"b\": 1363, \"c\": -10001, \"d\": -1490}", "seed": "17511688234763373046", "semantic_fingerprint": "sha256:711fd5b92abce463f2225df65868859ff20af7dd0416c72bef91a93e3a49c13e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005492", "prompt": "Evaluate: (-1100 + (60445 - (-4499))) * (6564 / (-12856))", "solution_steps": ["Subtract: 60445 - (-4499) = 64944", "Add: -1100 + 64944 = 63844", "Divide: 6564 / (-12856) = -1641/3214", "Multiply: 63844 * (-1641/3214) = -52384002/1607"], "final_answer": "-52384002/1607", "answer_type": "rational", "kind": "expression", "math_text": "(-1100 + (60445 - (-4499))) * (6564 / (-12856))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1100, \"b\": 60445, \"c\": -4499, \"d\": 6564, \"e\": -12856}", "seed": "6034580343355680183", "semantic_fingerprint": "sha256:81fa1e3716dcb520d9047af75ef2c36764a9eee00d235d6860c8ba0cfea9688f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005493", "prompt": "Compute: 6652 + 71672", "solution_steps": ["Add: 6652 + 71672 = 78324"], "final_answer": "78324", "answer_type": "integer", "kind": "expression", "math_text": "6652 + 71672", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6652, \"b\": 71672}", "seed": "10726473975466192274", "semantic_fingerprint": "sha256:53fac136424181e837cded8ce6540567e3207e999781bbc9fd86231e92821f30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005494", "prompt": "What is 3321 - 1961 - (-10160)?", "solution_steps": ["Subtract: 3321 - 1961 = 1360", "Subtract: 1360 - (-10160) = 11520"], "final_answer": "11520", "answer_type": "integer", "kind": "expression", "math_text": "3321 - 1961 - (-10160)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3321, \"b\": 1961, \"c\": -10160}", "seed": "10197483813030234885", "semantic_fingerprint": "sha256:81e64fa3ed8ad60c801343fde1c0b432c7efd16e6ed9a6dc5a02aec9d1af2052", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005495", "prompt": "What is 1584 - 99866 * 9902?", "solution_steps": ["Multiply: 99866 * 9902 = 988873132", "Subtract: 1584 - 988873132 = -988871548"], "final_answer": "-988871548", "answer_type": "integer", "kind": "expression", "math_text": "1584 - 99866 * 9902", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1584, \"b\": 99866, \"c\": 9902}", "seed": "6469973938481606609", "semantic_fingerprint": "sha256:3563e7882136f262cef6c3775194c1c32c873cd6f48e1be142ffe759d35fd86e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005496", "prompt": "Find x: 32x = 13x - 1444", "solution_steps": ["Subtract 13x from both sides: 19x = -1444", "Divide both sides by 19: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = 13x - 1444", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 13, \"d\": -1444, \"x\": -76}", "seed": "2324219718124103372", "semantic_fingerprint": "sha256:dd96d6995af5efdb53cbf1607c634f099dc6a175151e99a0e435a089188735b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005497", "prompt": "Compute: 3761 - (-1425) - (-6470 + (-3064))", "solution_steps": ["Subtract: 3761 - (-1425) = 5186", "Add: -6470 + (-3064) = -9534", "Subtract: 5186 - (-9534) = 14720"], "final_answer": "14720", "answer_type": "integer", "kind": "expression", "math_text": "3761 - (-1425) - (-6470 + (-3064))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3761, \"b\": -1425, \"c\": -6470, \"d\": -3064}", "seed": "10370235530686669020", "semantic_fingerprint": "sha256:b32cf0232f09c03c2f4efdceb55ded118ecaf662e3603c493b2a3ce373343016", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005498", "prompt": "Solve for x: -39(x - 7536) = 23x + 1741", "solution_steps": ["Expand: -39x + 293904 = 23x + 1741", "Subtract 23x from both sides: -62x + 293904 = 1741", "Subtract 293904 from both sides: -62x = -292163", "Divide both sides by -62: x = 292163/62"], "final_answer": "292163/62", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39(x - 7536) = 23x + 1741", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 7536, \"c\": 23, \"d\": 1741}", "seed": "3987986411313691789", "semantic_fingerprint": "sha256:23645430aae2a6afbce21645603939e58ae4ecbe07470fa14fda7d1b046006a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005499", "prompt": "Calculate: (3809 - 85746) * 5183", "solution_steps": ["Subtract: 3809 - 85746 = -81937", "Multiply: -81937 * 5183 = -424679471"], "final_answer": "-424679471", "answer_type": "integer", "kind": "expression", "math_text": "(3809 - 85746) * 5183", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3809, \"b\": 85746, \"c\": 5183}", "seed": "8221465976008124676", "semantic_fingerprint": "sha256:854a5b8291c2dfd71eb955a04b85a146590697c9c44fba6fb81cb46c14d19617", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005500", "prompt": "Compute: (-5456 + 8039) * 6805", "solution_steps": ["Add: -5456 + 8039 = 2583", "Multiply: 2583 * 6805 = 17577315"], "final_answer": "17577315", "answer_type": "integer", "kind": "expression", "math_text": "(-5456 + 8039) * 6805", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5456, \"b\": 8039, \"c\": 6805}", "seed": "3698871727981718353", "semantic_fingerprint": "sha256:97cc2022ad52d58de69421872c3883cb4d3741eb6e9482a82ed2d9b5871805a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005501", "prompt": "Evaluate: -37635 - 9648 + 6842 - 64023", "solution_steps": ["Subtract: -37635 - 9648 = -47283", "Add: -47283 + 6842 = -40441", "Subtract: -40441 - 64023 = -104464"], "final_answer": "-104464", "answer_type": "integer", "kind": "expression", "math_text": "-37635 - 9648 + 6842 - 64023", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37635, \"b\": 9648, \"c\": 6842, \"d\": 64023}", "seed": "7756321207219420288", "semantic_fingerprint": "sha256:831f1236befdeaff29f9cb56044fba1d5e5d1d3ca3af1f31c6bdbc83a424c844", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005502", "prompt": "Calculate: -1375 * (-6232) + 87012", "solution_steps": ["Multiply: -1375 * (-6232) = 8569000", "Add: 8569000 + 87012 = 8656012"], "final_answer": "8656012", "answer_type": "integer", "kind": "expression", "math_text": "-1375 * (-6232) + 87012", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1375, \"b\": -6232, \"c\": 87012}", "seed": "4572870462792756885", "semantic_fingerprint": "sha256:9e229b489e3769ccdbaf8dca1bf449e71a9ebbaecb4e01226acd0006a5fbdee1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005503", "prompt": "Calculate: -7880 / 7038 * 7544 * (-61486) + 51106 + 9926", "solution_steps": ["Divide: -7880 / 7038 = -3940/3519", "Multiply: (-3940/3519) * 7544 = -1292320/153", "Multiply: (-1292320/153) * (-61486) = 79459587520/153", "Add: 79459587520/153 + 51106 = 79467406738/153", "Add: 79467406738/153 + 9926 = 79468925416/153"], "final_answer": "79468925416/153", "answer_type": "rational", "kind": "expression", "math_text": "-7880 / 7038 * 7544 * (-61486) + 51106 + 9926", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (* (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7880, \"b\": 7038, \"c\": 7544, \"d\": -61486, \"e\": 51106, \"f\": 9926}", "seed": "9207208126568541828", "semantic_fingerprint": "sha256:15c4b8e2214fbb41153f3e15b0641003048b3576963a671f3a5de40897c52619", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005504", "prompt": "Calculate: 74943 - (-64432) - (-9397)", "solution_steps": ["Subtract: 74943 - (-64432) = 139375", "Subtract: 139375 - (-9397) = 148772"], "final_answer": "148772", "answer_type": "integer", "kind": "expression", "math_text": "74943 - (-64432) - (-9397)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 74943, \"b\": -64432, \"c\": -9397}", "seed": "2464936625556582247", "semantic_fingerprint": "sha256:701aaab04b04d6af70b66b63b851eba92ad0d06f054b0836e7f8897cc27a27b3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005505", "prompt": "Find x: x + 2409 = 37(x + 9907)", "solution_steps": ["Expand: x + 2409 = 37x + 366559", "Subtract 37x from both sides: -36x + 2409 = 366559", "Subtract 2409 from both sides: -36x = 364150", "Divide both sides by -36: x = -182075/18"], "final_answer": "-182075/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2409 = 37(x + 9907)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2409, \"b\": 37, \"c\": 9907}", "seed": "16733930938950124349", "semantic_fingerprint": "sha256:63a3bafbdd42ebbf629158f50386a64ed95f14dc37cc0111b98a5ccb57158281", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005506", "prompt": "Evaluate: -97575 / (-54314) + 27836", "solution_steps": ["Divide: -97575 / (-54314) = 97575/54314", "Add: 97575/54314 + 27836 = 1511982079/54314"], "final_answer": "1511982079/54314", "answer_type": "rational", "kind": "expression", "math_text": "-97575 / (-54314) + 27836", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97575, \"b\": -54314, \"c\": 27836}", "seed": "8723141627598955732", "semantic_fingerprint": "sha256:fcc55ffbddfeeb757c0d6b43bc6368766b530e097a3d1e8a1d86fb8781e2a7e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005507", "prompt": "Calculate: 2381 + (-22255)", "solution_steps": ["Add: 2381 + (-22255) = -19874"], "final_answer": "-19874", "answer_type": "integer", "kind": "expression", "math_text": "2381 + (-22255)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2381, \"b\": -22255}", "seed": "9980135113905125806", "semantic_fingerprint": "sha256:977f393c604250808eb959d59cfcac1e8b3e099b832c3150c58180d28a3f13e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005508", "prompt": "Calculate: 52059 * 2160 - (-8886)", "solution_steps": ["Multiply: 52059 * 2160 = 112447440", "Subtract: 112447440 - (-8886) = 112456326"], "final_answer": "112456326", "answer_type": "integer", "kind": "expression", "math_text": "52059 * 2160 - (-8886)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 52059, \"b\": 2160, \"c\": -8886}", "seed": "8002388262714108818", "semantic_fingerprint": "sha256:62e2613fc97148561c8eff00501c3a110e287e88348b14ccb11fb818d9afbfbe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005509", "prompt": "What is -9065 * 52114 / (-9854)?", "solution_steps": ["Multiply: -9065 * 52114 = -472413410", "Divide: -472413410 / (-9854) = 236206705/4927"], "final_answer": "236206705/4927", "answer_type": "rational", "kind": "expression", "math_text": "-9065 * 52114 / (-9854)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9065, \"b\": 52114, \"c\": -9854}", "seed": "7164417248804836420", "semantic_fingerprint": "sha256:344172c4343a8cc46f5c750e8540f6aaa3f4a450b795124059bb37728051dc78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005510", "prompt": "Calculate: -8223 / (-6401) * (1124 + 7770)", "solution_steps": ["Divide: -8223 / (-6401) = 8223/6401", "Add: 1124 + 7770 = 8894", "Multiply: (8223/6401) * 8894 = 73135362/6401"], "final_answer": "73135362/6401", "answer_type": "rational", "kind": "expression", "math_text": "-8223 / (-6401) * (1124 + 7770)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8223, \"b\": -6401, \"c\": 1124, \"d\": 7770}", "seed": "2517583539518899842", "semantic_fingerprint": "sha256:1ee61f818e945cc8c90bf6ad6db4faf5f5edb8e6d69b9fe0d813a4ef93d3465f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005511", "prompt": "Compute: -45920 + (-6264)", "solution_steps": ["Add: -45920 + (-6264) = -52184"], "final_answer": "-52184", "answer_type": "integer", "kind": "expression", "math_text": "-45920 + (-6264)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -45920, \"b\": -6264}", "seed": "587999760983168006", "semantic_fingerprint": "sha256:f2d1d4fbb67c996ef8f8e774287bf8aeb71528490562a5346a1e04641705fec2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005512", "prompt": "What value of x satisfies 39(x + 7689) = -39x?", "solution_steps": ["Expand: 39x + 299871 = -39x", "Add 39x to both sides: 78x + 299871 = 0", "Subtract 299871 from both sides: 78x = -299871", "Divide both sides by 78: x = -7689/2"], "final_answer": "-7689/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 7689) = -39x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 7689, \"c\": -39}", "seed": "1914413040399836339", "semantic_fingerprint": "sha256:bc432b5a3d015e0707d568e017b514cc455af3471ec142d21640267dbb1e1b95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005513", "prompt": "Compute: 62446 / (9757 + (-51417) + 7859)", "solution_steps": ["Add: 9757 + (-51417) = -41660", "Add: -41660 + 7859 = -33801", "Divide: 62446 / (-33801) = -62446/33801"], "final_answer": "-62446/33801", "answer_type": "rational", "kind": "expression", "math_text": "62446 / (9757 + (-51417) + 7859)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62446, \"b\": 9757, \"c\": -51417, \"d\": 7859}", "seed": "14294572604228006639", "semantic_fingerprint": "sha256:ce272c70299d665f31a2160f66c0eb69cbeee4be8d86575f94b1834ddea51649", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005514", "prompt": "Calculate: -8774 * (7942 * (-5752) / (2392 - (-3236)))", "solution_steps": ["Multiply: 7942 * (-5752) = -45682384", "Subtract: 2392 - (-3236) = 5628", "Divide: -45682384 / 5628 = -11420596/1407", "Multiply: -8774 * (-11420596/1407) = 100204309304/1407"], "final_answer": "100204309304/1407", "answer_type": "rational", "kind": "expression", "math_text": "-8774 * (7942 * (-5752) / (2392 - (-3236)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8774, \"b\": 7942, \"c\": -5752, \"d\": 2392, \"e\": -3236}", "seed": "2525615644747771578", "semantic_fingerprint": "sha256:417fe31645ebe0c19677f6a7184bff53ede9672d406a791b3c71af5ff7526bdd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005515", "prompt": "Calculate: (1002 + (-27634)) * (-7116) * 1359", "solution_steps": ["Add: 1002 + (-27634) = -26632", "Multiply: -26632 * (-7116) = 189513312", "Multiply: 189513312 * 1359 = 257548591008"], "final_answer": "257548591008", "answer_type": "integer", "kind": "expression", "math_text": "(1002 + (-27634)) * (-7116) * 1359", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1002, \"b\": -27634, \"c\": -7116, \"d\": 1359}", "seed": "8396371947097553252", "semantic_fingerprint": "sha256:3628e927c0a9bdca32ba01e855080265f599d86112f47a9997f1374c5bfffe22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005516", "prompt": "Find x: -29x - 53420 = -21x + 98371", "solution_steps": ["Add 21x to both sides: -8x - 53420 = 98371", "Add 53420 to both sides: -8x = 151791", "Divide both sides by -8: x = -151791/8"], "final_answer": "-151791/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29x - 53420 = -21x + 98371", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 53420, \"c\": -21, \"d\": 98371}", "seed": "16908398384045615915", "semantic_fingerprint": "sha256:c93434dfb2234af3e63970b14b93bf3666320b1a9e7bede24f743ae56359ad61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005517", "prompt": "What is -3117 + (-1204) / 63414 * (-77364)?", "solution_steps": ["Divide: -1204 / 63414 = -602/31707", "Multiply: (-602/31707) * (-77364) = 5174792/3523", "Add: -3117 + 5174792/3523 = -5806399/3523"], "final_answer": "-5806399/3523", "answer_type": "rational", "kind": "expression", "math_text": "-3117 + (-1204) / 63414 * (-77364)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3117, \"b\": -1204, \"c\": 63414, \"d\": -77364}", "seed": "15080408217613241319", "semantic_fingerprint": "sha256:5c092f36a580b3efdcc6a1b127855afb26c64fa7b61f75a7ba69b535d27f2d1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005518", "prompt": "What value of x satisfies -33(x + 1443) = 29(x + 80920) + 52240?", "solution_steps": ["Expand: -33x - 47619 = 29(x + 80920) + 52240", "Expand: -33x - 47619 = 29x + 2346680 + 52240", "Combine constants: -33x - 47619 = 29x + 2398920", "Subtract 29x from both sides: -62x - 47619 = 2398920", "Add 47619 to both sides: -62x = 2446539", "Divide both sides by -62: x = -2446539/62"], "final_answer": "-2446539/62", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x + 1443) = 29(x + 80920) + 52240", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 1443, \"c\": 29, \"d\": 80920, \"e\": 52240}", "seed": "14514304703596807164", "semantic_fingerprint": "sha256:104ecb4ab49642b6b5f61c355241e9666f46fae6d2251e36dc79dc7d432e1ffc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005519", "prompt": "Calculate: 5619 + 4076", "solution_steps": ["Add: 5619 + 4076 = 9695"], "final_answer": "9695", "answer_type": "integer", "kind": "expression", "math_text": "5619 + 4076", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5619, \"b\": 4076}", "seed": "11845967317530410373", "semantic_fingerprint": "sha256:e223ae895dcca2d52c4d03030a8df69113eb8e64f37219cdb114bfb4755c1440", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005520", "prompt": "Solve the equation -22(x + 2397) - 8979 = -19(x + 6063) + 53334 for x.", "solution_steps": ["Expand: -22x - 52734 - 8979 = -19(x + 6063) + 53334", "Expand: -22x - 52734 - 8979 = -19x - 115197 + 53334", "Combine constants: -22x - 61713 = -19x - 115197 + 53334", "Combine constants: -22x - 61713 = -19x - 61863", "Add 19x to both sides: -3x - 61713 = -61863", "Add 61713 to both sides: -3x = -150", "Divide both sides by -3: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22(x + 2397) - 8979 = -19(x + 6063) + 53334", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 2397, \"c\": 8979, \"d\": -19, \"e\": 6063, \"g\": 53334, \"x\": 50}", "seed": "4344171886063662666", "semantic_fingerprint": "sha256:ed403d803feff12345ee6f5ab6915e7daa3ea2ce41e0ef31ba3970429f60514c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005521", "prompt": "Find x: 24x + 80923 = 19(x + 4227)", "solution_steps": ["Expand: 24x + 80923 = 19x + 80313", "Subtract 19x from both sides: 5x + 80923 = 80313", "Subtract 80923 from both sides: 5x = -610", "Divide both sides by 5: x = -122"], "final_answer": "-122", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x + 80923 = 19(x + 4227)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 19, \"c\": 4227, \"e\": 80923, \"x\": -122}", "seed": "2274459822078919658", "semantic_fingerprint": "sha256:43aae84c6c4ed24a0339ba5212e0184f1f92bb6bd1bf76df530c2b60e993c115", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005522", "prompt": "Calculate: 1938 - (-42559) / 8543 + (-72345 + (-9225))", "solution_steps": ["Divide: -42559 / 8543 = -42559/8543", "Subtract: 1938 - (-42559/8543) = 16598893/8543", "Add: -72345 + (-9225) = -81570", "Add: 16598893/8543 + (-81570) = -680253617/8543"], "final_answer": "-680253617/8543", "answer_type": "rational", "kind": "expression", "math_text": "1938 - (-42559) / 8543 + (-72345 + (-9225))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1938, \"b\": -42559, \"c\": 8543, \"d\": -72345, \"e\": -9225}", "seed": "3401730523491427514", "semantic_fingerprint": "sha256:5d87a1ec7ccdb0df85b7008dcc65ace06bc93443e5faefe5a0d238eefc531083", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005523", "prompt": "Find x: -31(x - 13175) = x", "solution_steps": ["Expand: -31x + 408425 = x", "Subtract x from both sides: -32x + 408425 = 0", "Subtract 408425 from both sides: -32x = -408425", "Divide both sides by -32: x = 408425/32"], "final_answer": "408425/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 13175) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 13175}", "seed": "9846730114000921029", "semantic_fingerprint": "sha256:3b1413b1e23aeb23fd7599ac7de9157cd4bde4c4996dfb5a4a89b54b0dfc7210", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005524", "prompt": "Calculate: -95499 + 25436 + 4219 * (7594 / (-2561))", "solution_steps": ["Add: -95499 + 25436 = -70063", "Divide: 7594 / (-2561) = -7594/2561", "Multiply: 4219 * (-7594/2561) = -32039086/2561", "Add: -70063 + (-32039086/2561) = -211470429/2561"], "final_answer": "-211470429/2561", "answer_type": "rational", "kind": "expression", "math_text": "-95499 + 25436 + 4219 * (7594 / (-2561))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -95499, \"b\": 25436, \"c\": 4219, \"d\": 7594, \"e\": -2561}", "seed": "11579448734342561064", "semantic_fingerprint": "sha256:e735adeca368814c2d337b711a8aa050f43c2335cf96ed9f7327d692a7205bfa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005525", "prompt": "Compute: -78877 - 3215 + (-5820) / (-9872)", "solution_steps": ["Subtract: -78877 - 3215 = -82092", "Divide: -5820 / (-9872) = 1455/2468", "Add: -82092 + 1455/2468 = -202601601/2468"], "final_answer": "-202601601/2468", "answer_type": "rational", "kind": "expression", "math_text": "-78877 - 3215 + (-5820) / (-9872)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -78877, \"b\": 3215, \"c\": -5820, \"d\": -9872}", "seed": "10922774020054293291", "semantic_fingerprint": "sha256:e0c1cc250e09e21fa9c73c838343d5c7fd04a1002c1ce6dbdf16f656abf056d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005526", "prompt": "Calculate: 5089 * (-63074) - (-9289)", "solution_steps": ["Multiply: 5089 * (-63074) = -320983586", "Subtract: -320983586 - (-9289) = -320974297"], "final_answer": "-320974297", "answer_type": "integer", "kind": "expression", "math_text": "5089 * (-63074) - (-9289)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5089, \"b\": -63074, \"c\": -9289}", "seed": "7765628555373561257", "semantic_fingerprint": "sha256:cca948458e84ac2e996d3d2a8544bf4ffe5aae66ff7e020964f5ea85f2e0e3dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005527", "prompt": "Calculate: -9749 + (-5621)", "solution_steps": ["Add: -9749 + (-5621) = -15370"], "final_answer": "-15370", "answer_type": "integer", "kind": "expression", "math_text": "-9749 + (-5621)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9749, \"b\": -5621}", "seed": "6810437674807617880", "semantic_fingerprint": "sha256:c1d85f086489ebe97888edf79a020290282bfecb03e39163baf43ea6704aa115", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005528", "prompt": "Solve the equation 40x = -3080 for x.", "solution_steps": ["Divide both sides by 40: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = -3080", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": -3080, \"x\": -77}", "seed": "15861190621197889026", "semantic_fingerprint": "sha256:14bfec356ba0ab3c0be6a496c67fb7262d26632d96ece1ace3740450c069ef02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005529", "prompt": "What is (2557 + (-7744)) * (-9567) / (3519 * (-4632))?", "solution_steps": ["Add: 2557 + (-7744) = -5187", "Multiply: -5187 * (-9567) = 49624029", "Multiply: 3519 * (-4632) = -16300008", "Divide: 49624029 / (-16300008) = -1837927/603704"], "final_answer": "-1837927/603704", "answer_type": "rational", "kind": "expression", "math_text": "(2557 + (-7744)) * (-9567) / (3519 * (-4632))", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2557, \"b\": -7744, \"c\": -9567, \"d\": 3519, \"e\": -4632}", "seed": "9963439877305699899", "semantic_fingerprint": "sha256:45bb41054a122e9b2d4f5fafd73a1acf21d175b21c15d09b1dc6f6c4df802e08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005530", "prompt": "Compute: -8008 - 77760 / (-8349)", "solution_steps": ["Divide: 77760 / (-8349) = -25920/2783", "Subtract: -8008 - (-25920/2783) = -22260344/2783"], "final_answer": "-22260344/2783", "answer_type": "rational", "kind": "expression", "math_text": "-8008 - 77760 / (-8349)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8008, \"b\": 77760, \"c\": -8349}", "seed": "5020432358031495028", "semantic_fingerprint": "sha256:113f91ed4dc499815a47d1e8fbf31c6aead01449d10b7db86ce8d87c0bd69050", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005531", "prompt": "Solve for x: 27(x + 9474) + 2771 = -23x - 8476", "solution_steps": ["Expand: 27x + 255798 + 2771 = -23x - 8476", "Combine constants: 27x + 258569 = -23x - 8476", "Add 23x to both sides: 50x + 258569 = -8476", "Subtract 258569 from both sides: 50x = -267045", "Divide both sides by 50: x = -53409/10"], "final_answer": "-53409/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 9474) + 2771 = -23x - 8476", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 9474, \"c\": 2771, \"d\": -23, \"e\": 8476}", "seed": "15145538232954267562", "semantic_fingerprint": "sha256:60a110b2d60a232c15fa79089325533ea45f2bc57574dfc0ca21ab3a4b5bad47", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005532", "prompt": "What is 44014 / (-58538) + 5356?", "solution_steps": ["Divide: 44014 / (-58538) = -22007/29269", "Add: -22007/29269 + 5356 = 156742757/29269"], "final_answer": "156742757/29269", "answer_type": "rational", "kind": "expression", "math_text": "44014 / (-58538) + 5356", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 44014, \"b\": -58538, \"c\": 5356}", "seed": "16031062105479118495", "semantic_fingerprint": "sha256:c275de5f8963379b2dfd067276d73722480e064dae45248ed0b01d81ee3a850d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005533", "prompt": "Calculate: -59373 - (82778 * 97469 - (-28929))", "solution_steps": ["Multiply: 82778 * 97469 = 8068288882", "Subtract: 8068288882 - (-28929) = 8068317811", "Subtract: -59373 - 8068317811 = -8068377184"], "final_answer": "-8068377184", "answer_type": "integer", "kind": "expression", "math_text": "-59373 - (82778 * 97469 - (-28929))", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -59373, \"b\": 82778, \"c\": 97469, \"d\": -28929}", "seed": "1645615899370283597", "semantic_fingerprint": "sha256:ae0cc269c020dac6d3613bb9adf82df497204e0e947bcdafba180dd57afd2fc2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005534", "prompt": "What is 1772 * (9047 * 5224)?", "solution_steps": ["Multiply: 9047 * 5224 = 47261528", "Multiply: 1772 * 47261528 = 83747427616"], "final_answer": "83747427616", "answer_type": "integer", "kind": "expression", "math_text": "1772 * (9047 * 5224)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1772, \"b\": 9047, \"c\": 5224}", "seed": "1477246221836181493", "semantic_fingerprint": "sha256:7c9aa04a9773d885d7d7abff7729da863ccf18bb31f44bae5069113f487d692a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005535", "prompt": "Evaluate: -4488 - 6359", "solution_steps": ["Subtract: -4488 - 6359 = -10847"], "final_answer": "-10847", "answer_type": "integer", "kind": "expression", "math_text": "-4488 - 6359", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4488, \"b\": 6359}", "seed": "14940958739520681430", "semantic_fingerprint": "sha256:93169d66344a9b5ed1982cf7c861f953e56c14716078ef4d44066670c4adf821", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005536", "prompt": "Compute: 16791 * (-2943)", "solution_steps": ["Multiply: 16791 * (-2943) = -49415913"], "final_answer": "-49415913", "answer_type": "integer", "kind": "expression", "math_text": "16791 * (-2943)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 16791, \"b\": -2943}", "seed": "5676777490436244184", "semantic_fingerprint": "sha256:08fb88ff20147cf8af5482d20b8ce92b931aeabe09798bde0a8ce657c1357200", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005537", "prompt": "What is (22030 + (-6235) + (-27440) / (3947 - (-7023))) * 23385?", "solution_steps": ["Add: 22030 + (-6235) = 15795", "Subtract: 3947 - (-7023) = 10970", "Divide: -27440 / 10970 = -2744/1097", "Add: 15795 + (-2744/1097) = 17324371/1097", "Multiply: (17324371/1097) * 23385 = 405130415835/1097"], "final_answer": "405130415835/1097", "answer_type": "rational", "kind": "expression", "math_text": "(22030 + (-6235) + (-27440) / (3947 - (-7023))) * 23385", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22030, \"b\": -6235, \"c\": -27440, \"d\": 3947, \"e\": -7023, \"f\": 23385}", "seed": "4621076729640191237", "semantic_fingerprint": "sha256:9a10a7ff276d6446d017707eeb03a77e1b70bb375817f027bc5d9bfa58e7e0ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005538", "prompt": "Solve the equation 24(x - 83992) = -33(x + 9074) - 8823 for x.", "solution_steps": ["Expand: 24x - 2015808 = -33(x + 9074) - 8823", "Expand: 24x - 2015808 = -33x - 299442 - 8823", "Combine constants: 24x - 2015808 = -33x - 308265", "Add 33x to both sides: 57x - 2015808 = -308265", "Add 2015808 to both sides: 57x = 1707543", "Divide both sides by 57: x = 569181/19"], "final_answer": "569181/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 83992) = -33(x + 9074) - 8823", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 83992, \"c\": -33, \"d\": 9074, \"e\": 8823}", "seed": "15494447669593973996", "semantic_fingerprint": "sha256:2240659a5c9ff290629f848f7bd9303d93ba7cc3da2ad3768e08c92b7755461d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005539", "prompt": "Compute: 9223 + (-6297) + 23354 + (-81615)", "solution_steps": ["Add: 9223 + (-6297) = 2926", "Add: 2926 + 23354 = 26280", "Add: 26280 + (-81615) = -55335"], "final_answer": "-55335", "answer_type": "integer", "kind": "expression", "math_text": "9223 + (-6297) + 23354 + (-81615)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9223, \"b\": -6297, \"c\": 23354, \"d\": -81615}", "seed": "10238610284440503212", "semantic_fingerprint": "sha256:2049dc4264d3fa1c31d7a086deebfdd801cb73e81f15db4a68c49d38c711ab64", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005540", "prompt": "Find x: 37(x + 1550) - 62750 = x", "solution_steps": ["Expand: 37x + 57350 - 62750 = x", "Combine constants: 37x - 5400 = x", "Subtract x from both sides: 36x - 5400 = 0", "Add 5400 to both sides: 36x = 5400", "Divide both sides by 36: x = 150"], "final_answer": "150", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x + 1550) - 62750 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 1550, \"d\": -62750, \"x\": 150}", "seed": "10603217824394421630", "semantic_fingerprint": "sha256:faea8c02d31e9ff1a4975c787ef62c44e13a7eac72de3bcc1d777ebaa766443f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005541", "prompt": "Evaluate: -4784 * 92395", "solution_steps": ["Multiply: -4784 * 92395 = -442017680"], "final_answer": "-442017680", "answer_type": "integer", "kind": "expression", "math_text": "-4784 * 92395", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4784, \"b\": 92395}", "seed": "14573578448504812692", "semantic_fingerprint": "sha256:54ce146672ceeaa2f437a24b1c8d6d04a54719140e94628735b8d68023077a9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005542", "prompt": "Calculate: 3187 * 9312", "solution_steps": ["Multiply: 3187 * 9312 = 29677344"], "final_answer": "29677344", "answer_type": "integer", "kind": "expression", "math_text": "3187 * 9312", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3187, \"b\": 9312}", "seed": "8146431816562078686", "semantic_fingerprint": "sha256:aef25b5d417b6b1c76593c5feb77926bffdd3d7a0236db2a140449b3e7631011", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005543", "prompt": "Calculate: 91535 + (-70278)", "solution_steps": ["Add: 91535 + (-70278) = 21257"], "final_answer": "21257", "answer_type": "integer", "kind": "expression", "math_text": "91535 + (-70278)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 91535, \"b\": -70278}", "seed": "878442352165699136", "semantic_fingerprint": "sha256:4f73a05a6433abb557b0f6574c4fe59e08d2866826a3c60b7258f2d5b83202cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005544", "prompt": "Compute: -90357 + (-2260) - (-1768) + (-7952) / 16220", "solution_steps": ["Add: -90357 + (-2260) = -92617", "Subtract: -92617 - (-1768) = -90849", "Divide: -7952 / 16220 = -1988/4055", "Add: -90849 + (-1988/4055) = -368394683/4055"], "final_answer": "-368394683/4055", "answer_type": "rational", "kind": "expression", "math_text": "-90357 + (-2260) - (-1768) + (-7952) / 16220", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -90357, \"b\": -2260, \"c\": -1768, \"d\": -7952, \"e\": 16220}", "seed": "9556676725547554240", "semantic_fingerprint": "sha256:92ead689ba82301ca952fe498ca17ff0a144f3fd47eba4646b3a644ee5197307", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005545", "prompt": "What value of x satisfies 16(x - 4398) = 23(x - 4665) + 37557?", "solution_steps": ["Expand: 16x - 70368 = 23(x - 4665) + 37557", "Expand: 16x - 70368 = 23x - 107295 + 37557", "Combine constants: 16x - 70368 = 23x - 69738", "Subtract 23x from both sides: -7x - 70368 = -69738", "Add 70368 to both sides: -7x = 630", "Divide both sides by -7: x = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x - 4398) = 23(x - 4665) + 37557", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 4398, \"c\": 23, \"d\": 4665, \"f\": 37557, \"x\": -90}", "seed": "3217081869027095217", "semantic_fingerprint": "sha256:740b3f06453e24d3dcba64f6b6afbddb091450bf2ec84fed800a948963acfe49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005546", "prompt": "What value of x satisfies 25x + 5585 = x + 3449?", "solution_steps": ["Subtract x from both sides: 24x + 5585 = 3449", "Subtract 5585 from both sides: 24x = -2136", "Divide both sides by 24: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x + 5585 = x + 3449", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 5585, \"d\": 3449, \"x\": -89}", "seed": "10056823800416802106", "semantic_fingerprint": "sha256:b2682ba179694f8e986807b7a966a3a55a2ccb7326599d0be70495b79e8eda0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005547", "prompt": "What value of x satisfies 34x + 60464 = -34x?", "solution_steps": ["Add 34x to both sides: 68x + 60464 = 0", "Subtract 60464 from both sides: 68x = -60464", "Divide both sides by 68: x = -15116/17"], "final_answer": "-15116/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x + 60464 = -34x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 60464, \"c\": -34}", "seed": "14054178688146745757", "semantic_fingerprint": "sha256:7ae8ad36e942f91dec6dc7024f781199d810d5d95c9cc75112254c2dfa8c8e29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005548", "prompt": "Compute: -9491 - (-33244 * (-5961) + (-3859) + (-2211 + (-90240)))", "solution_steps": ["Multiply: -33244 * (-5961) = 198167484", "Add: 198167484 + (-3859) = 198163625", "Add: -2211 + (-90240) = -92451", "Add: 198163625 + (-92451) = 198071174", "Subtract: -9491 - 198071174 = -198080665"], "final_answer": "-198080665", "answer_type": "integer", "kind": "expression", "math_text": "-9491 - (-33244 * (-5961) + (-3859) + (-2211 + (-90240)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (* n n) n) (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9491, \"b\": -33244, \"c\": -5961, \"d\": -3859, \"e\": -2211, \"f\": -90240}", "seed": "8245763479217525307", "semantic_fingerprint": "sha256:e7d4cdc96f3165afdaf69481bcace23528188c0191b2b7ef70b58223a3f4b6ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005549", "prompt": "Find x: 38(x - 7086) + 4861 = -38(x + 2363) + 2433", "solution_steps": ["Expand: 38x - 269268 + 4861 = -38(x + 2363) + 2433", "Expand: 38x - 269268 + 4861 = -38x - 89794 + 2433", "Combine constants: 38x - 264407 = -38x - 89794 + 2433", "Combine constants: 38x - 264407 = -38x - 87361", "Add 38x to both sides: 76x - 264407 = -87361", "Add 264407 to both sides: 76x = 177046", "Divide both sides by 76: x = 88523/38"], "final_answer": "88523/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 7086) + 4861 = -38(x + 2363) + 2433", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 7086, \"c\": 4861, \"d\": -38, \"e\": 2363, \"f\": 2433}", "seed": "8546923533878891723", "semantic_fingerprint": "sha256:333a1259645e6e06a75560a09e28299ed11b3641369fa16a356e4495231742e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005550", "prompt": "Solve the equation 34x - 30723 = 28(x + 1758) for x.", "solution_steps": ["Expand: 34x - 30723 = 28x + 49224", "Subtract 28x from both sides: 6x - 30723 = 49224", "Add 30723 to both sides: 6x = 79947", "Divide both sides by 6: x = 26649/2"], "final_answer": "26649/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x - 30723 = 28(x + 1758)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 30723, \"c\": 28, \"d\": 1758}", "seed": "16465113685548612857", "semantic_fingerprint": "sha256:c79175a9096146db3a73a522399cd31c0c9f39770bf88f83e9e71595ec56b157", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005551", "prompt": "Evaluate: 4681 - (-5863) * (-4608 - 7565)", "solution_steps": ["Subtract: -4608 - 7565 = -12173", "Multiply: -5863 * (-12173) = 71370299", "Subtract: 4681 - 71370299 = -71365618"], "final_answer": "-71365618", "answer_type": "integer", "kind": "expression", "math_text": "4681 - (-5863) * (-4608 - 7565)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4681, \"b\": -5863, \"c\": -4608, \"d\": 7565}", "seed": "5143298194087741267", "semantic_fingerprint": "sha256:48dfaa4039c0e7ba9d9b12ec2ece25c9cbc81688e1286421b1541e80c5a3f7e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005552", "prompt": "Compute: -3953 + (-54344 + (-31003))", "solution_steps": ["Add: -54344 + (-31003) = -85347", "Add: -3953 + (-85347) = -89300"], "final_answer": "-89300", "answer_type": "integer", "kind": "expression", "math_text": "-3953 + (-54344 + (-31003))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3953, \"b\": -54344, \"c\": -31003}", "seed": "13035527423975892695", "semantic_fingerprint": "sha256:2b5b4794ee6dfa6c7731d24375f3efee8d24337262c0fa69a6e5302c86f030e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005553", "prompt": "Calculate: -8779 + (19426 - (-54789))", "solution_steps": ["Subtract: 19426 - (-54789) = 74215", "Add: -8779 + 74215 = 65436"], "final_answer": "65436", "answer_type": "integer", "kind": "expression", "math_text": "-8779 + (19426 - (-54789))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8779, \"b\": 19426, \"c\": -54789}", "seed": "7506886586772975330", "semantic_fingerprint": "sha256:431d5c3a008fe364ff745acca0a56cc52924f1db1011577941c316375397f077", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005554", "prompt": "Compute: 9404 + 28439 / (-18362) + (-5918 - (-5101) - (-5114))", "solution_steps": ["Divide: 28439 / (-18362) = -28439/18362", "Add: 9404 + (-28439/18362) = 172647809/18362", "Subtract: -5918 - (-5101) = -817", "Subtract: -817 - (-5114) = 4297", "Add: 172647809/18362 + 4297 = 251549323/18362"], "final_answer": "251549323/18362", "answer_type": "rational", "kind": "expression", "math_text": "9404 + 28439 / (-18362) + (-5918 - (-5101) - (-5114))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ n n)) (- (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9404, \"b\": 28439, \"c\": -18362, \"d\": -5918, \"e\": -5101, \"f\": -5114}", "seed": "8677260786399267189", "semantic_fingerprint": "sha256:beae7d30cea72468de2da2009b43eac23360a03613382dddd9b64b2d66221ad1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005555", "prompt": "Evaluate: 13445 / (-8020 + (-4242)) * 2003", "solution_steps": ["Add: -8020 + (-4242) = -12262", "Divide: 13445 / (-12262) = -13445/12262", "Multiply: (-13445/12262) * 2003 = -26930335/12262"], "final_answer": "-26930335/12262", "answer_type": "rational", "kind": "expression", "math_text": "13445 / (-8020 + (-4242)) * 2003", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13445, \"b\": -8020, \"c\": -4242, \"d\": 2003}", "seed": "17831905196591985606", "semantic_fingerprint": "sha256:db67d2164520152bd1c440bffc0507c4bd99c539366015463bb97a4ece3d2637", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005556", "prompt": "Solve for x: 25(x - 6254) + 96939 = -36x - 65084", "solution_steps": ["Expand: 25x - 156350 + 96939 = -36x - 65084", "Combine constants: 25x - 59411 = -36x - 65084", "Add 36x to both sides: 61x - 59411 = -65084", "Add 59411 to both sides: 61x = -5673", "Divide both sides by 61: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 6254) + 96939 = -36x - 65084", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 6254, \"c\": 96939, \"d\": -36, \"f\": -65084, \"x\": -93}", "seed": "11326681304560626152", "semantic_fingerprint": "sha256:2c1ce43bc71028dc4e62f8579d7730e1c4696f6d737f84130273ab91cc29c636", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005557", "prompt": "Find x: 16x + 67533 = 15(x + 6000) - 22639", "solution_steps": ["Expand: 16x + 67533 = 15x + 90000 - 22639", "Combine constants: 16x + 67533 = 15x + 67361", "Subtract 15x from both sides: x + 67533 = 67361", "Subtract 67533 from both sides: x = -172"], "final_answer": "-172", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x + 67533 = 15(x + 6000) - 22639", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 67533, \"c\": 15, \"d\": 6000, \"f\": -22639, \"x\": -172}", "seed": "9214901808904538139", "semantic_fingerprint": "sha256:29aa421b8ff61e2276189510fa51455c541c3e540d09c3427f9017ebe12b62bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005558", "prompt": "What value of x satisfies 40x - 9750 = -15x?", "solution_steps": ["Add 15x to both sides: 55x - 9750 = 0", "Add 9750 to both sides: 55x = 9750", "Divide both sides by 55: x = 1950/11"], "final_answer": "1950/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "40x - 9750 = -15x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 9750, \"c\": -15}", "seed": "13275842150814617405", "semantic_fingerprint": "sha256:b8dec2f80fe0ddbe183c74e668c50a09109723141b52ac06d561aad803a70511", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005559", "prompt": "Compute: -58977 - (-2556) - (-41691) + 2070 - (1658 + (-83158))", "solution_steps": ["Subtract: -58977 - (-2556) = -56421", "Subtract: -56421 - (-41691) = -14730", "Add: -14730 + 2070 = -12660", "Add: 1658 + (-83158) = -81500", "Subtract: -12660 - (-81500) = 68840"], "final_answer": "68840", "answer_type": "integer", "kind": "expression", "math_text": "-58977 - (-2556) - (-41691) + 2070 - (1658 + (-83158))", "variable": null, "family": "expression_5op", "shape": "(- (+ (- (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -58977, \"b\": -2556, \"c\": -41691, \"d\": 2070, \"e\": 1658, \"f\": -83158}", "seed": "8482321739297241041", "semantic_fingerprint": "sha256:9c51114f4fa03673ac3665516a9c3d2e4081f3886f1da205da22bd3b3dbfb4fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005560", "prompt": "Solve for x: 38x = x + 4921", "solution_steps": ["Subtract x from both sides: 37x = 4921", "Divide both sides by 37: x = 133"], "final_answer": "133", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = x + 4921", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"c\": 4921, \"x\": 133}", "seed": "225885373405702029", "semantic_fingerprint": "sha256:230ca28b477b2c02714fe55aeb3b07e9f76abbdafa048fdc5f1f9b0f52beae63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005561", "prompt": "Calculate: 64301 / (-58440) + (-1130)", "solution_steps": ["Divide: 64301 / (-58440) = -64301/58440", "Add: -64301/58440 + (-1130) = -66101501/58440"], "final_answer": "-66101501/58440", "answer_type": "rational", "kind": "expression", "math_text": "64301 / (-58440) + (-1130)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64301, \"b\": -58440, \"c\": -1130}", "seed": "15293180741733249155", "semantic_fingerprint": "sha256:aabc12d7f2405b29f42b3af8b7eb2377c15ec14e91012bbc734d5cd5785cc8a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005562", "prompt": "What value of x satisfies x = 30x - 1421?", "solution_steps": ["Subtract 30x from both sides: -29x = -1421", "Divide both sides by -29: x = 49"], "final_answer": "49", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 30x - 1421", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 30, \"c\": -1421, \"x\": 49}", "seed": "9208645114527214907", "semantic_fingerprint": "sha256:e6c0b57943b00c3c88ed009ba87c8687f2b69915c69f0f8cd75ec0f20e72db61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005563", "prompt": "What value of x satisfies x - 60929 = 24(x + 81211)?", "solution_steps": ["Expand: x - 60929 = 24x + 1949064", "Subtract 24x from both sides: -23x - 60929 = 1949064", "Add 60929 to both sides: -23x = 2009993", "Divide both sides by -23: x = -87391"], "final_answer": "-87391", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 60929 = 24(x + 81211)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60929, \"b\": 24, \"c\": 81211}", "seed": "14517319889258581943", "semantic_fingerprint": "sha256:043cf5d73ab9c57ffb2ad6811d20bdd52e5c04bc8c67bed55fe09406d85cb3e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005564", "prompt": "Compute: 6646 / (70831 - (-9023))", "solution_steps": ["Subtract: 70831 - (-9023) = 79854", "Divide: 6646 / 79854 = 3323/39927"], "final_answer": "3323/39927", "answer_type": "rational", "kind": "expression", "math_text": "6646 / (70831 - (-9023))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6646, \"b\": 70831, \"c\": -9023}", "seed": "8008582375601151775", "semantic_fingerprint": "sha256:4147fb26b8425a10251e618824fed5098e61132671054b33a412311b450802c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005565", "prompt": "What value of x satisfies x = 19x + 2124?", "solution_steps": ["Subtract 19x from both sides: -18x = 2124", "Divide both sides by -18: x = -118"], "final_answer": "-118", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 19x + 2124", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 2124, \"x\": -118}", "seed": "4437648320707139446", "semantic_fingerprint": "sha256:4cbc732243862a90022769796c789993d168e81d7b97e02cb06442258b121548", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005566", "prompt": "What is (4361 + 3505 + (-55371)) / (-5296)?", "solution_steps": ["Add: 4361 + 3505 = 7866", "Add: 7866 + (-55371) = -47505", "Divide: -47505 / (-5296) = 47505/5296"], "final_answer": "47505/5296", "answer_type": "rational", "kind": "expression", "math_text": "(4361 + 3505 + (-55371)) / (-5296)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4361, \"b\": 3505, \"c\": -55371, \"d\": -5296}", "seed": "7165797238421398069", "semantic_fingerprint": "sha256:3b6fb483af00dec55d70c4f06715684ca598bdd895a660d2cb55009e6bb1903a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005567", "prompt": "Solve for x: -31(x + 1124) - 3279 = -7126", "solution_steps": ["Expand: -31x - 34844 - 3279 = -7126", "Combine constants: -31x - 38123 = -7126", "Add 38123 to both sides: -31x = 30997", "Divide both sides by -31: x = -30997/31"], "final_answer": "-30997/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x + 1124) - 3279 = -7126", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 1124, \"c\": 3279, \"d\": -7126}", "seed": "8782190009821510315", "semantic_fingerprint": "sha256:3d9b9abd48087c4a833dd6aa6744c2a6d99093923d683c45a578ae2bc797d375", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005568", "prompt": "Calculate: 1923 - 3705 - (-24962) / (-1088)", "solution_steps": ["Subtract: 1923 - 3705 = -1782", "Divide: -24962 / (-1088) = 12481/544", "Subtract: -1782 - 12481/544 = -981889/544"], "final_answer": "-981889/544", "answer_type": "rational", "kind": "expression", "math_text": "1923 - 3705 - (-24962) / (-1088)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1923, \"b\": 3705, \"c\": -24962, \"d\": -1088}", "seed": "15160207842304808940", "semantic_fingerprint": "sha256:4249833a1b0a9a8dc2fcabb229a1c85b4edcbfcede286737e731defda7b113b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005569", "prompt": "Compute: -18711 * (-26585 + (-51761 - 46055))", "solution_steps": ["Subtract: -51761 - 46055 = -97816", "Add: -26585 + (-97816) = -124401", "Multiply: -18711 * (-124401) = 2327667111"], "final_answer": "2327667111", "answer_type": "integer", "kind": "expression", "math_text": "-18711 * (-26585 + (-51761 - 46055))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18711, \"b\": -26585, \"c\": -51761, \"d\": 46055}", "seed": "10382916733043464313", "semantic_fingerprint": "sha256:56bf4fbaa4955a06bef6c51114d2c776c3987caabb815add5dfdfe3cff7fdb50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005570", "prompt": "Compute: 7726 + (-93204) / (-6736)", "solution_steps": ["Divide: -93204 / (-6736) = 23301/1684", "Add: 7726 + 23301/1684 = 13033885/1684"], "final_answer": "13033885/1684", "answer_type": "rational", "kind": "expression", "math_text": "7726 + (-93204) / (-6736)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7726, \"b\": -93204, \"c\": -6736}", "seed": "15031997951168110247", "semantic_fingerprint": "sha256:a174ee836f460f301481a42ef39bd8d6c8e68968d4d9a61dac192a569d24c46f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005571", "prompt": "Evaluate: (-62141 - 59037) * (-6917 - 8011)", "solution_steps": ["Subtract: -62141 - 59037 = -121178", "Subtract: -6917 - 8011 = -14928", "Multiply: -121178 * (-14928) = 1808945184"], "final_answer": "1808945184", "answer_type": "integer", "kind": "expression", "math_text": "(-62141 - 59037) * (-6917 - 8011)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62141, \"b\": 59037, \"c\": -6917, \"d\": 8011}", "seed": "8367226870437345664", "semantic_fingerprint": "sha256:d03747b8827d5eec3ff83e2bcaa512f801ed3ad3ee2b7ae5925b7469d141dc13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005572", "prompt": "Solve the equation 37x + 1982 = x + 1100 for x.", "solution_steps": ["Subtract x from both sides: 36x + 1982 = 1100", "Subtract 1982 from both sides: 36x = -882", "Divide both sides by 36: x = -49/2"], "final_answer": "-49/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x + 1982 = x + 1100", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 1982, \"c\": 1100}", "seed": "14971139713145173557", "semantic_fingerprint": "sha256:c2ab1c41b2c9e571897e0e0eed906d66b5e768d3dbfe888232cbd0a4d8c32d5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005573", "prompt": "Find x: x = 34x + 2838", "solution_steps": ["Subtract 34x from both sides: -33x = 2838", "Divide both sides by -33: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 34x + 2838", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"c\": 2838, \"x\": -86}", "seed": "486903203402615652", "semantic_fingerprint": "sha256:c180a2eddd3a49218adf0baf6e33063114bd48f783d165427b9d913b16786c25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005574", "prompt": "Evaluate: -34564 + 63462 * (8367 - (4845 + (-5059)))", "solution_steps": ["Add: 4845 + (-5059) = -214", "Subtract: 8367 - (-214) = 8581", "Multiply: 63462 * 8581 = 544567422", "Add: -34564 + 544567422 = 544532858"], "final_answer": "544532858", "answer_type": "integer", "kind": "expression", "math_text": "-34564 + 63462 * (8367 - (4845 + (-5059)))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34564, \"b\": 63462, \"c\": 8367, \"d\": 4845, \"e\": -5059}", "seed": "17615664730219119498", "semantic_fingerprint": "sha256:f9b38ba8f14c1a8f51b4a4eee77ea0d94c7d2bef627e5dbe83070eff0aa2059e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005575", "prompt": "Compute: 1590 / 6081", "solution_steps": ["Divide: 1590 / 6081 = 530/2027"], "final_answer": "530/2027", "answer_type": "rational", "kind": "expression", "math_text": "1590 / 6081", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1590, \"b\": 6081}", "seed": "505607401489619387", "semantic_fingerprint": "sha256:f3a43f863bcaa0ce1d08204284400452d09148de27ca0901bf8d3870888aafc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005576", "prompt": "What value of x satisfies 29(x - 8560) - 5236 = 33(x - 9828) + 71420?", "solution_steps": ["Expand: 29x - 248240 - 5236 = 33(x - 9828) + 71420", "Expand: 29x - 248240 - 5236 = 33x - 324324 + 71420", "Combine constants: 29x - 253476 = 33x - 324324 + 71420", "Combine constants: 29x - 253476 = 33x - 252904", "Subtract 33x from both sides: -4x - 253476 = -252904", "Add 253476 to both sides: -4x = 572", "Divide both sides by -4: x = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x - 8560) - 5236 = 33(x - 9828) + 71420", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 8560, \"c\": 5236, \"d\": 33, \"e\": 9828, \"g\": 71420, \"x\": -143}", "seed": "12091000610476645553", "semantic_fingerprint": "sha256:f02d4ac148170e7f9b453544e2cb0bf0ea36b87b85ecd627678564103f3e52ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005577", "prompt": "Compute: 47451 - (-4175)", "solution_steps": ["Subtract: 47451 - (-4175) = 51626"], "final_answer": "51626", "answer_type": "integer", "kind": "expression", "math_text": "47451 - (-4175)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 47451, \"b\": -4175}", "seed": "5450240607400972184", "semantic_fingerprint": "sha256:f4fe82e1b107cb75ff21941a54a8e79e6df070da6450e28cdf391f6b1194ff36", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005578", "prompt": "What value of x satisfies 34x + 13489 = x + 11245?", "solution_steps": ["Subtract x from both sides: 33x + 13489 = 11245", "Subtract 13489 from both sides: 33x = -2244", "Divide both sides by 33: x = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x + 13489 = x + 11245", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 13489, \"d\": 11245, \"x\": -68}", "seed": "15653697497250170168", "semantic_fingerprint": "sha256:72848d295df02141b4864607423c4c07949c17f89141b1cba05e26ef0f31717a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005579", "prompt": "What is 27992 / 4844?", "solution_steps": ["Divide: 27992 / 4844 = 6998/1211"], "final_answer": "6998/1211", "answer_type": "rational", "kind": "expression", "math_text": "27992 / 4844", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27992, \"b\": 4844}", "seed": "699212520646193232", "semantic_fingerprint": "sha256:20d5ddcc2d7e1a4d0f8f8719d169a82df4e549071e3c989b24fc9eaed9dc9047", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005580", "prompt": "Evaluate: 4405 + (-50777) * 10147", "solution_steps": ["Multiply: -50777 * 10147 = -515234219", "Add: 4405 + (-515234219) = -515229814"], "final_answer": "-515229814", "answer_type": "integer", "kind": "expression", "math_text": "4405 + (-50777) * 10147", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4405, \"b\": -50777, \"c\": 10147}", "seed": "11280360340179828102", "semantic_fingerprint": "sha256:405ad78e9fadce4f6e0eaf81283f3fabc20a1b4e09f6f1d17139f45df51288fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005581", "prompt": "Solve the equation x + 8783 = 32(x - 69399) + 1317 for x.", "solution_steps": ["Expand: x + 8783 = 32x - 2220768 + 1317", "Combine constants: x + 8783 = 32x - 2219451", "Subtract 32x from both sides: -31x + 8783 = -2219451", "Subtract 8783 from both sides: -31x = -2228234", "Divide both sides by -31: x = 2228234/31"], "final_answer": "2228234/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8783 = 32(x - 69399) + 1317", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8783, \"b\": 32, \"c\": 69399, \"d\": 1317}", "seed": "15474514785303814004", "semantic_fingerprint": "sha256:3166f067731c3f31b46bdfd537f3b266b93483b1185fb3e818a7450f21a06049", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005582", "prompt": "Calculate: -3189 / 58703", "solution_steps": ["Divide: -3189 / 58703 = -3189/58703"], "final_answer": "-3189/58703", "answer_type": "rational", "kind": "expression", "math_text": "-3189 / 58703", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3189, \"b\": 58703}", "seed": "2796671405087527572", "semantic_fingerprint": "sha256:d248fd291f4cc99723ee7417fde72d059108e3845ee9fde0fb4a02c30832e1e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005583", "prompt": "What is 93817 + (-6003 - (-8370))?", "solution_steps": ["Subtract: -6003 - (-8370) = 2367", "Add: 93817 + 2367 = 96184"], "final_answer": "96184", "answer_type": "integer", "kind": "expression", "math_text": "93817 + (-6003 - (-8370))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 93817, \"b\": -6003, \"c\": -8370}", "seed": "17075731929584028785", "semantic_fingerprint": "sha256:c01f06afed4ef278f5516ba98c35b33e2f15d3f46f094f683ebd547ffc7c26c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005584", "prompt": "Evaluate: (-32668 - (-43141)) * 80990", "solution_steps": ["Subtract: -32668 - (-43141) = 10473", "Multiply: 10473 * 80990 = 848208270"], "final_answer": "848208270", "answer_type": "integer", "kind": "expression", "math_text": "(-32668 - (-43141)) * 80990", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32668, \"b\": -43141, \"c\": 80990}", "seed": "2043920084326554521", "semantic_fingerprint": "sha256:4404d4b97332705df8db224d9272b03c7ea99b925da5d1f1cd676f464fbedb1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005585", "prompt": "Find x: 26x + 1267 = x - 1158", "solution_steps": ["Subtract x from both sides: 25x + 1267 = -1158", "Subtract 1267 from both sides: 25x = -2425", "Divide both sides by 25: x = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x + 1267 = x - 1158", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 1267, \"d\": -1158, \"x\": -97}", "seed": "2681587283121275053", "semantic_fingerprint": "sha256:0de98a8acb5305389d23752a1f89b1d6227e7bc9a19a071bf08f56c263462b0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005586", "prompt": "What is 38526 + 65200 - 92104?", "solution_steps": ["Add: 38526 + 65200 = 103726", "Subtract: 103726 - 92104 = 11622"], "final_answer": "11622", "answer_type": "integer", "kind": "expression", "math_text": "38526 + 65200 - 92104", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38526, \"b\": 65200, \"c\": 92104}", "seed": "14614717128644815301", "semantic_fingerprint": "sha256:9b85a68d6179823193bc8e767bc9112be5509c27629b3cb6774ef508a852859c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005587", "prompt": "Compute: 1176 - (-30420) + 5426 - 56101", "solution_steps": ["Subtract: 1176 - (-30420) = 31596", "Add: 31596 + 5426 = 37022", "Subtract: 37022 - 56101 = -19079"], "final_answer": "-19079", "answer_type": "integer", "kind": "expression", "math_text": "1176 - (-30420) + 5426 - 56101", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1176, \"b\": -30420, \"c\": 5426, \"d\": 56101}", "seed": "8540745019271197842", "semantic_fingerprint": "sha256:9ac9122d592a0b77b125e8f019d44b06021c38c9fe438043909b8efdb8dd7860", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005588", "prompt": "What is -6510 * (3546 / (-52189))?", "solution_steps": ["Divide: 3546 / (-52189) = -3546/52189", "Multiply: -6510 * (-3546/52189) = 23084460/52189"], "final_answer": "23084460/52189", "answer_type": "rational", "kind": "expression", "math_text": "-6510 * (3546 / (-52189))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6510, \"b\": 3546, \"c\": -52189}", "seed": "2327860809938830606", "semantic_fingerprint": "sha256:6665978850b9320ad3d4084ccc4dc85fdc67452feb9f7c1bfae975c31ee76695", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005589", "prompt": "Evaluate: (-1561 - (64539 + 2205 - (-3054))) * (-94237) / 4151", "solution_steps": ["Add: 64539 + 2205 = 66744", "Subtract: 66744 - (-3054) = 69798", "Subtract: -1561 - 69798 = -71359", "Multiply: -71359 * (-94237) = 6724658083", "Divide: 6724658083 / 4151 = 6724658083/4151"], "final_answer": "6724658083/4151", "answer_type": "rational", "kind": "expression", "math_text": "(-1561 - (64539 + 2205 - (-3054))) * (-94237) / 4151", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n (- (+ n n) n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1561, \"b\": 64539, \"c\": 2205, \"d\": -3054, \"e\": -94237, \"f\": 4151}", "seed": "15148072975219551077", "semantic_fingerprint": "sha256:1e85069421d8c5c176da9f1790aff7eee6d4a92afe1365a594afa886b216c87a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005590", "prompt": "Calculate: (79512 - 42992) * (-17790) / (-7709)", "solution_steps": ["Subtract: 79512 - 42992 = 36520", "Multiply: 36520 * (-17790) = -649690800", "Divide: -649690800 / (-7709) = 1095600/13"], "final_answer": "1095600/13", "answer_type": "rational", "kind": "expression", "math_text": "(79512 - 42992) * (-17790) / (-7709)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 79512, \"b\": 42992, \"c\": -17790, \"d\": -7709}", "seed": "2262968836486893104", "semantic_fingerprint": "sha256:53c86c266cffc4fda058c220962ba293681f28faacbbf62556492b15ef714c75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005591", "prompt": "What is (48429 + (-9780 + (-6549))) * (-3369 - 1453)?", "solution_steps": ["Add: -9780 + (-6549) = -16329", "Add: 48429 + (-16329) = 32100", "Subtract: -3369 - 1453 = -4822", "Multiply: 32100 * (-4822) = -154786200"], "final_answer": "-154786200", "answer_type": "integer", "kind": "expression", "math_text": "(48429 + (-9780 + (-6549))) * (-3369 - 1453)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 48429, \"b\": -9780, \"c\": -6549, \"d\": -3369, \"e\": 1453}", "seed": "16815299045238910059", "semantic_fingerprint": "sha256:29e78c362efbc8255a4628c9a6d97526efdaa8a3575bf9ed99fa2d5abab0af50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005592", "prompt": "What value of x satisfies 14(x - 2808) - 1836 = 28(x - 7503) + 2154?", "solution_steps": ["Expand: 14x - 39312 - 1836 = 28(x - 7503) + 2154", "Expand: 14x - 39312 - 1836 = 28x - 210084 + 2154", "Combine constants: 14x - 41148 = 28x - 210084 + 2154", "Combine constants: 14x - 41148 = 28x - 207930", "Subtract 28x from both sides: -14x - 41148 = -207930", "Add 41148 to both sides: -14x = -166782", "Divide both sides by -14: x = 11913"], "final_answer": "11913", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 2808) - 1836 = 28(x - 7503) + 2154", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2808, \"c\": 1836, \"d\": 28, \"e\": 7503, \"f\": 2154}", "seed": "1224222445864992918", "semantic_fingerprint": "sha256:09c367c9d922644e47f8253423fdaedd13cc6ea9613467bf9db3d54f037e0536", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005593", "prompt": "Compute: -3326 / (-88210 / (-42470)) - (-3740)", "solution_steps": ["Divide: -88210 / (-42470) = 8821/4247", "Divide: -3326 / (8821/4247) = -14125522/8821", "Subtract: -14125522/8821 - (-3740) = 18865018/8821"], "final_answer": "18865018/8821", "answer_type": "rational", "kind": "expression", "math_text": "-3326 / (-88210 / (-42470)) - (-3740)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3326, \"b\": -88210, \"c\": -42470, \"d\": -3740}", "seed": "1105539694802840544", "semantic_fingerprint": "sha256:87dab907ee8be6d727daa55f11e3641f76ab8028ed31ca179f3fa10170c67e8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005594", "prompt": "Solve for x: 23x - 5378 = -36(x - 3143) + 3069", "solution_steps": ["Expand: 23x - 5378 = -36x + 113148 + 3069", "Combine constants: 23x - 5378 = -36x + 116217", "Add 36x to both sides: 59x - 5378 = 116217", "Add 5378 to both sides: 59x = 121595", "Divide both sides by 59: x = 121595/59"], "final_answer": "121595/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "23x - 5378 = -36(x - 3143) + 3069", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 5378, \"c\": -36, \"d\": 3143, \"e\": 3069}", "seed": "5537560685811985887", "semantic_fingerprint": "sha256:a3ac9d33a9cce7191dc5a827fe5e248a143ec7fbfb563561cde8311d939b594b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005595", "prompt": "Evaluate: -5306 - 9787 * 26857", "solution_steps": ["Multiply: 9787 * 26857 = 262849459", "Subtract: -5306 - 262849459 = -262854765"], "final_answer": "-262854765", "answer_type": "integer", "kind": "expression", "math_text": "-5306 - 9787 * 26857", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5306, \"b\": 9787, \"c\": 26857}", "seed": "8908838696835952597", "semantic_fingerprint": "sha256:fa84e24db04da29321bc784645683ecddbafb076e227e04fdb45f47a0e4465fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005596", "prompt": "Solve for x: 15x - 1428 = 27x", "solution_steps": ["Subtract 27x from both sides: -12x - 1428 = 0", "Add 1428 to both sides: -12x = 1428", "Divide both sides by -12: x = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "linear_equation", "math_text": "15x - 1428 = 27x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 27, \"d\": -1428, \"x\": -119}", "seed": "9623166350835955178", "semantic_fingerprint": "sha256:83f108ebf96e925d3bddad02d71cc7465d2465412a599279a2ce5a0f1d1d559a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005597", "prompt": "What value of x satisfies 40x - 7166 = x - 9935?", "solution_steps": ["Subtract x from both sides: 39x - 7166 = -9935", "Add 7166 to both sides: 39x = -2769", "Divide both sides by 39: x = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x - 7166 = x - 9935", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 7166, \"d\": -9935, \"x\": -71}", "seed": "14978599443142327696", "semantic_fingerprint": "sha256:d434f4c984e0d5bdb3c1de244bfba637165b7baf300f3bcb6e73ce4229549608", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005598", "prompt": "What is 9759 + 11699 - (-4298) * 78057?", "solution_steps": ["Add: 9759 + 11699 = 21458", "Multiply: -4298 * 78057 = -335488986", "Subtract: 21458 - (-335488986) = 335510444"], "final_answer": "335510444", "answer_type": "integer", "kind": "expression", "math_text": "9759 + 11699 - (-4298) * 78057", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9759, \"b\": 11699, \"c\": -4298, \"d\": 78057}", "seed": "18308661031885408382", "semantic_fingerprint": "sha256:4c73fb8d330025aae667828463ab59a195a93512c430306d66ac1f38a5b2ba79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005599", "prompt": "Evaluate: -3872 - (-46817) - 3279 * 39616 + 38634", "solution_steps": ["Subtract: -3872 - (-46817) = 42945", "Multiply: 3279 * 39616 = 129900864", "Subtract: 42945 - 129900864 = -129857919", "Add: -129857919 + 38634 = -129819285"], "final_answer": "-129819285", "answer_type": "integer", "kind": "expression", "math_text": "-3872 - (-46817) - 3279 * 39616 + 38634", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3872, \"b\": -46817, \"c\": 3279, \"d\": 39616, \"e\": 38634}", "seed": "7221886796498743754", "semantic_fingerprint": "sha256:e95074718424ac86d0e650b3e310ea4335fede83ca3b94ddeae60fefb306da2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005600", "prompt": "What is 8214 + 1649 + (56209 - 2796)?", "solution_steps": ["Add: 8214 + 1649 = 9863", "Subtract: 56209 - 2796 = 53413", "Add: 9863 + 53413 = 63276"], "final_answer": "63276", "answer_type": "integer", "kind": "expression", "math_text": "8214 + 1649 + (56209 - 2796)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8214, \"b\": 1649, \"c\": 56209, \"d\": 2796}", "seed": "18423040637997157594", "semantic_fingerprint": "sha256:a490fe566fb63f2be1fa736dddfe0edb90cf0cd8d8e46cda4eac507bda5f7b69", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005601", "prompt": "Solve for x: -37x + 67337 = 13(x - 7122)", "solution_steps": ["Expand: -37x + 67337 = 13x - 92586", "Subtract 13x from both sides: -50x + 67337 = -92586", "Subtract 67337 from both sides: -50x = -159923", "Divide both sides by -50: x = 159923/50"], "final_answer": "159923/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37x + 67337 = 13(x - 7122)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 67337, \"c\": 13, \"d\": 7122}", "seed": "9150584882299044144", "semantic_fingerprint": "sha256:7d344e3cf7ec8b88f2d715305a463858847048b840631b221f2f716677280049", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005602", "prompt": "Compute: -57202 / 8622 * (-73717) + 86402", "solution_steps": ["Divide: -57202 / 8622 = -28601/4311", "Multiply: (-28601/4311) * (-73717) = 2108379917/4311", "Add: 2108379917/4311 + 86402 = 2480858939/4311"], "final_answer": "2480858939/4311", "answer_type": "rational", "kind": "expression", "math_text": "-57202 / 8622 * (-73717) + 86402", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -57202, \"b\": 8622, \"c\": -73717, \"d\": 86402}", "seed": "14502807635333677818", "semantic_fingerprint": "sha256:a8c11b151a2a4a2bbc2996479111a65a79dd702c7041772d950151d48038d77f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005603", "prompt": "What is -5680 + (-9229 + 9701)?", "solution_steps": ["Add: -9229 + 9701 = 472", "Add: -5680 + 472 = -5208"], "final_answer": "-5208", "answer_type": "integer", "kind": "expression", "math_text": "-5680 + (-9229 + 9701)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5680, \"b\": -9229, \"c\": 9701}", "seed": "5078895185967232524", "semantic_fingerprint": "sha256:81691dbf08a79354000108bdf34a2d6955c5f8ae360313865d9d4ab7506c51b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005604", "prompt": "Calculate: -9920 + (-16143 + 1427 * (81817 - (-13073 + (-55835))))", "solution_steps": ["Add: -13073 + (-55835) = -68908", "Subtract: 81817 - (-68908) = 150725", "Multiply: 1427 * 150725 = 215084575", "Add: -16143 + 215084575 = 215068432", "Add: -9920 + 215068432 = 215058512"], "final_answer": "215058512", "answer_type": "integer", "kind": "expression", "math_text": "-9920 + (-16143 + 1427 * (81817 - (-13073 + (-55835))))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (* n (- n (+ n n)))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -9920, \"b\": -16143, \"c\": 1427, \"d\": 81817, \"e\": -13073, \"f\": -55835}", "seed": "9333778028285490317", "semantic_fingerprint": "sha256:5e9c1ec1893d87ffb0912d8fba1acf252214c9bdd40b5be504941d814e73198f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005605", "prompt": "Evaluate: -19115 * 50722", "solution_steps": ["Multiply: -19115 * 50722 = -969551030"], "final_answer": "-969551030", "answer_type": "integer", "kind": "expression", "math_text": "-19115 * 50722", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -19115, \"b\": 50722}", "seed": "3622575946878317068", "semantic_fingerprint": "sha256:d74cf5088df61f299f4ce0fe52a184d4540520dfbb9e18df0f1020b9baa5d5f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005606", "prompt": "Find x: x + 60469 = 60656", "solution_steps": ["Subtract 60469 from both sides: x = 187"], "final_answer": "187", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 60469 = 60656", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60469, \"c\": 60656, \"x\": 187}", "seed": "5398903170161016467", "semantic_fingerprint": "sha256:dc5ca39a843dc4cd51b6becac7bf58e61c49d387847c398fe340111f8a97c33e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005607", "prompt": "Solve for x: 21(x + 3875) = x", "solution_steps": ["Expand: 21x + 81375 = x", "Subtract x from both sides: 20x + 81375 = 0", "Subtract 81375 from both sides: 20x = -81375", "Divide both sides by 20: x = -16275/4"], "final_answer": "-16275/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 3875) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 3875}", "seed": "13508273026393334068", "semantic_fingerprint": "sha256:9c5ab8fb70a49be6ad2eef429af5009bdfa10f54167f00db80f72e482cddc721", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005608", "prompt": "Calculate: (-5956 - 6251) * (2004 - (-2986)) * (4159 - (-9631))", "solution_steps": ["Subtract: -5956 - 6251 = -12207", "Subtract: 2004 - (-2986) = 4990", "Multiply: -12207 * 4990 = -60912930", "Subtract: 4159 - (-9631) = 13790", "Multiply: -60912930 * 13790 = -839989304700"], "final_answer": "-839989304700", "answer_type": "integer", "kind": "expression", "math_text": "(-5956 - 6251) * (2004 - (-2986)) * (4159 - (-9631))", "variable": null, "family": "expression_5op", "shape": "(* (* (- n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5956, \"b\": 6251, \"c\": 2004, \"d\": -2986, \"e\": 4159, \"f\": -9631}", "seed": "16497403062640565594", "semantic_fingerprint": "sha256:df760b4bc12ad74fcb070647381ecd99d373bfe88be30039ea34fd579a2f753f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005609", "prompt": "What value of x satisfies x + 48571 = 30x - 31694?", "solution_steps": ["Subtract 30x from both sides: -29x + 48571 = -31694", "Subtract 48571 from both sides: -29x = -80265", "Divide both sides by -29: x = 80265/29"], "final_answer": "80265/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 48571 = 30x - 31694", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 48571, \"b\": 30, \"c\": 31694}", "seed": "5015218599142687299", "semantic_fingerprint": "sha256:3c4e6f057bc74d97850d03ef7eb6944669d3b157c10b54a204bfc6067bab3e3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005610", "prompt": "Compute: 8289 - (-9052) + (-3218)", "solution_steps": ["Subtract: 8289 - (-9052) = 17341", "Add: 17341 + (-3218) = 14123"], "final_answer": "14123", "answer_type": "integer", "kind": "expression", "math_text": "8289 - (-9052) + (-3218)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8289, \"b\": -9052, \"c\": -3218}", "seed": "8321802722007856578", "semantic_fingerprint": "sha256:79db7bdb520dfe725e7d0c3c06910c2122141868dd0eb84d2ea3d8fb1d700040", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005611", "prompt": "Solve for x: 28x + 18171 = 15(x + 2832) - 22853", "solution_steps": ["Expand: 28x + 18171 = 15x + 42480 - 22853", "Combine constants: 28x + 18171 = 15x + 19627", "Subtract 15x from both sides: 13x + 18171 = 19627", "Subtract 18171 from both sides: 13x = 1456", "Divide both sides by 13: x = 112"], "final_answer": "112", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 18171 = 15(x + 2832) - 22853", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 18171, \"c\": 15, \"d\": 2832, \"f\": -22853, \"x\": 112}", "seed": "968545530915498371", "semantic_fingerprint": "sha256:9aea40daff906d640d2cc8c9c68fe8bcad7f8790206bfb3cd59f8fc055cfcdd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005612", "prompt": "Solve the equation x = -35(x + 6173) + 6316 for x.", "solution_steps": ["Expand: x = -35x - 216055 + 6316", "Combine constants: x = -35x - 209739", "Add 35x to both sides: 36x = -209739", "Divide both sides by 36: x = -69913/12"], "final_answer": "-69913/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -35(x + 6173) + 6316", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 6173, \"c\": 6316}", "seed": "15996570886064487610", "semantic_fingerprint": "sha256:78a3d0051cda8add43d7c0f55d0567917c7f2b4076cd49f06854f753d4877d39", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005613", "prompt": "Compute: 1737 + (25598 - (-1734) - 61261)", "solution_steps": ["Subtract: 25598 - (-1734) = 27332", "Subtract: 27332 - 61261 = -33929", "Add: 1737 + (-33929) = -32192"], "final_answer": "-32192", "answer_type": "integer", "kind": "expression", "math_text": "1737 + (25598 - (-1734) - 61261)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1737, \"b\": 25598, \"c\": -1734, \"d\": 61261}", "seed": "17347624901655556314", "semantic_fingerprint": "sha256:322f2bca45b856d81442f0ff82473a2099c1715968ca25a3502b25caa9476abd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005614", "prompt": "Solve the equation 15(x + 6999) = 37(x + 3570) - 24289 for x.", "solution_steps": ["Expand: 15x + 104985 = 37(x + 3570) - 24289", "Expand: 15x + 104985 = 37x + 132090 - 24289", "Combine constants: 15x + 104985 = 37x + 107801", "Subtract 37x from both sides: -22x + 104985 = 107801", "Subtract 104985 from both sides: -22x = 2816", "Divide both sides by -22: x = -128"], "final_answer": "-128", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 6999) = 37(x + 3570) - 24289", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 6999, \"c\": 37, \"d\": 3570, \"f\": -24289, \"x\": -128}", "seed": "15842105785004533544", "semantic_fingerprint": "sha256:a954555c70cd155a488d9481ab2d6ae1ce6030b26d7280f75760219eaa49c223", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005615", "prompt": "Evaluate: 27163 / 8003 - 6190", "solution_steps": ["Divide: 27163 / 8003 = 27163/8003", "Subtract: 27163/8003 - 6190 = -49511407/8003"], "final_answer": "-49511407/8003", "answer_type": "rational", "kind": "expression", "math_text": "27163 / 8003 - 6190", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27163, \"b\": 8003, \"c\": 6190}", "seed": "17828417011054810824", "semantic_fingerprint": "sha256:28e1558efc272748e4c1390b53ffd2e30361bdf81b900db45b2755acbb06ae23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005616", "prompt": "Find x: 29(x - 2374) = -73080", "solution_steps": ["Expand: 29x - 68846 = -73080", "Add 68846 to both sides: 29x = -4234", "Divide both sides by 29: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "29(x - 2374) = -73080", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 2374, \"d\": -73080, \"x\": -146}", "seed": "17423794656892485649", "semantic_fingerprint": "sha256:313b36025f61a30898d9d5130dc2c21e4c5c3bfd202801b540c3b4d914266187", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005617", "prompt": "Calculate: -16040 * 55616 - (-37764) * 7492", "solution_steps": ["Multiply: -16040 * 55616 = -892080640", "Multiply: -37764 * 7492 = -282927888", "Subtract: -892080640 - (-282927888) = -609152752"], "final_answer": "-609152752", "answer_type": "integer", "kind": "expression", "math_text": "-16040 * 55616 - (-37764) * 7492", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16040, \"b\": 55616, \"c\": -37764, \"d\": 7492}", "seed": "6824032255139679439", "semantic_fingerprint": "sha256:1f2666591db7b8e0cddf173eaab0600bc8b6d765d2422a370b657693f47bc080", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005618", "prompt": "Calculate: 2240 * (-2901) * (2910 - 59375)", "solution_steps": ["Multiply: 2240 * (-2901) = -6498240", "Subtract: 2910 - 59375 = -56465", "Multiply: -6498240 * (-56465) = 366923121600"], "final_answer": "366923121600", "answer_type": "integer", "kind": "expression", "math_text": "2240 * (-2901) * (2910 - 59375)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2240, \"b\": -2901, \"c\": 2910, \"d\": 59375}", "seed": "13026815544058786223", "semantic_fingerprint": "sha256:60f86377fc8629c990827c836b146ffe6dd518187c7201083d7dc3942ee2a5b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005619", "prompt": "What is 6163 * (7260 / (-27114)) - (80029 + (-5539))?", "solution_steps": ["Divide: 7260 / (-27114) = -1210/4519", "Multiply: 6163 * (-1210/4519) = -7457230/4519", "Add: 80029 + (-5539) = 74490", "Subtract: -7457230/4519 - 74490 = -344077540/4519"], "final_answer": "-344077540/4519", "answer_type": "rational", "kind": "expression", "math_text": "6163 * (7260 / (-27114)) - (80029 + (-5539))", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6163, \"b\": 7260, \"c\": -27114, \"d\": 80029, \"e\": -5539}", "seed": "7735609290560847910", "semantic_fingerprint": "sha256:48ccbcc2e0087abb89c4405e393345ab7425f28520dde14834018e42a5f12aed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005620", "prompt": "Compute: -53668 * (1303 + (-41254) + (-54554))", "solution_steps": ["Add: 1303 + (-41254) = -39951", "Add: -39951 + (-54554) = -94505", "Multiply: -53668 * (-94505) = 5071894340"], "final_answer": "5071894340", "answer_type": "integer", "kind": "expression", "math_text": "-53668 * (1303 + (-41254) + (-54554))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -53668, \"b\": 1303, \"c\": -41254, \"d\": -54554}", "seed": "10485918275699972323", "semantic_fingerprint": "sha256:cedd39649171020064951eb1113b58ad9d22874999569efdef9bf1ed47b09a34", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005621", "prompt": "Compute: 2499 - (-4238) - (76382 - 5315)", "solution_steps": ["Subtract: 2499 - (-4238) = 6737", "Subtract: 76382 - 5315 = 71067", "Subtract: 6737 - 71067 = -64330"], "final_answer": "-64330", "answer_type": "integer", "kind": "expression", "math_text": "2499 - (-4238) - (76382 - 5315)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2499, \"b\": -4238, \"c\": 76382, \"d\": 5315}", "seed": "504614036503789118", "semantic_fingerprint": "sha256:b030e6bf7de25acde94d376b6959eb178f82592ea3f1a8cf1f0a803b52df7750", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005622", "prompt": "Solve the equation -31x + 5525 = 2518 for x.", "solution_steps": ["Subtract 5525 from both sides: -31x = -3007", "Divide both sides by -31: x = 97"], "final_answer": "97", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x + 5525 = 2518", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 5525, \"d\": 2518, \"x\": 97}", "seed": "12069152605301129830", "semantic_fingerprint": "sha256:9e42f76733e8813a30513ab10bef18cdbb7c1a42ebf7ba26e4f64bd0d1eae3d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005623", "prompt": "Solve for x: 32x + 2624 = 13(x - 5508) + 75976", "solution_steps": ["Expand: 32x + 2624 = 13x - 71604 + 75976", "Combine constants: 32x + 2624 = 13x + 4372", "Subtract 13x from both sides: 19x + 2624 = 4372", "Subtract 2624 from both sides: 19x = 1748", "Divide both sides by 19: x = 92"], "final_answer": "92", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 2624 = 13(x - 5508) + 75976", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 2624, \"c\": 13, \"d\": 5508, \"f\": 75976, \"x\": 92}", "seed": "9722409685336223974", "semantic_fingerprint": "sha256:72f55a1d800c89c53ebc751fa24b7ba5bb10877f86b9319e4579f8cfe56cf491", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005624", "prompt": "Calculate: -5282 - (64934 + (-9484))", "solution_steps": ["Add: 64934 + (-9484) = 55450", "Subtract: -5282 - 55450 = -60732"], "final_answer": "-60732", "answer_type": "integer", "kind": "expression", "math_text": "-5282 - (64934 + (-9484))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5282, \"b\": 64934, \"c\": -9484}", "seed": "403254259438993870", "semantic_fingerprint": "sha256:7bf6f110519a16f3304dc0cce30ae3e64cd8f06d8d50770ff84aa6635d8266d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005625", "prompt": "Calculate: (-1102 - 1445) * 46791", "solution_steps": ["Subtract: -1102 - 1445 = -2547", "Multiply: -2547 * 46791 = -119176677"], "final_answer": "-119176677", "answer_type": "integer", "kind": "expression", "math_text": "(-1102 - 1445) * 46791", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1102, \"b\": 1445, \"c\": 46791}", "seed": "14072582742530878313", "semantic_fingerprint": "sha256:9747bd4f971fe6935d7e50132313fb3277c22e772df65b08ade69a6b7c6a0556", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005626", "prompt": "What is -6970 + (4409 - 21746)?", "solution_steps": ["Subtract: 4409 - 21746 = -17337", "Add: -6970 + (-17337) = -24307"], "final_answer": "-24307", "answer_type": "integer", "kind": "expression", "math_text": "-6970 + (4409 - 21746)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6970, \"b\": 4409, \"c\": 21746}", "seed": "4570785261490089456", "semantic_fingerprint": "sha256:bb1c5d9da5d79638021ca49aedb3d86363a3bc79edb5e31b99b7b72be5395ad3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005627", "prompt": "Calculate: 6187 / (-13738) * 18532", "solution_steps": ["Divide: 6187 / (-13738) = -6187/13738", "Multiply: (-6187/13738) * 18532 = -57328742/6869"], "final_answer": "-57328742/6869", "answer_type": "rational", "kind": "expression", "math_text": "6187 / (-13738) * 18532", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6187, \"b\": -13738, \"c\": 18532}", "seed": "9905108050818702059", "semantic_fingerprint": "sha256:45c3ddbc0b673dfb28a5a6d04b69320011992fef44b2bafab68202aa7095d017", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005628", "prompt": "What value of x satisfies 20(x - 89045) = 32x?", "solution_steps": ["Expand: 20x - 1780900 = 32x", "Subtract 32x from both sides: -12x - 1780900 = 0", "Add 1780900 to both sides: -12x = 1780900", "Divide both sides by -12: x = -445225/3"], "final_answer": "-445225/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 89045) = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 89045, \"c\": 32}", "seed": "8576722302427575201", "semantic_fingerprint": "sha256:0fe41de9db94b44c5e8f8ea25795b04d5175ef3ee84c68b7369cafadbabe40a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005629", "prompt": "Calculate: 27827 - 13771 * (-1094 - 5890)", "solution_steps": ["Subtract: -1094 - 5890 = -6984", "Multiply: 13771 * (-6984) = -96176664", "Subtract: 27827 - (-96176664) = 96204491"], "final_answer": "96204491", "answer_type": "integer", "kind": "expression", "math_text": "27827 - 13771 * (-1094 - 5890)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27827, \"b\": 13771, \"c\": -1094, \"d\": 5890}", "seed": "10089117530272780464", "semantic_fingerprint": "sha256:8c33f928d5a23556e38e1fa9aa7da2f858f51c6d3489ce8f6fca2a7b1e6eb468", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005630", "prompt": "Compute: 2841 - 3012 - (-4739 + 6204)", "solution_steps": ["Subtract: 2841 - 3012 = -171", "Add: -4739 + 6204 = 1465", "Subtract: -171 - 1465 = -1636"], "final_answer": "-1636", "answer_type": "integer", "kind": "expression", "math_text": "2841 - 3012 - (-4739 + 6204)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2841, \"b\": 3012, \"c\": -4739, \"d\": 6204}", "seed": "15419337614589224711", "semantic_fingerprint": "sha256:3bf02a71578fd346351b8357611329d2da582a2d468748c18b29e0063e746566", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005631", "prompt": "What is 60184 / (37711 / 6230) - (-9303)?", "solution_steps": ["Divide: 37711 / 6230 = 37711/6230", "Divide: 60184 / (37711/6230) = 374946320/37711", "Subtract: 374946320/37711 - (-9303) = 725771753/37711"], "final_answer": "725771753/37711", "answer_type": "rational", "kind": "expression", "math_text": "60184 / (37711 / 6230) - (-9303)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 60184, \"b\": 37711, \"c\": 6230, \"d\": -9303}", "seed": "12837177809055769324", "semantic_fingerprint": "sha256:0e6b28e5830f07b5852ba37548b55a98f338b1703b1a038b39196d14e0928d82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005632", "prompt": "Evaluate: 70936 / (-5683 - (-17126))", "solution_steps": ["Subtract: -5683 - (-17126) = 11443", "Divide: 70936 / 11443 = 70936/11443"], "final_answer": "70936/11443", "answer_type": "rational", "kind": "expression", "math_text": "70936 / (-5683 - (-17126))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 70936, \"b\": -5683, \"c\": -17126}", "seed": "14067315741963086736", "semantic_fingerprint": "sha256:550194b91bafa24080d3661bd33bf4bb3cc2f8f303f494d8b877a1b29a320c19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005633", "prompt": "Evaluate: 4688 - (-87836) / (6042 - (-37647))", "solution_steps": ["Subtract: 6042 - (-37647) = 43689", "Divide: -87836 / 43689 = -87836/43689", "Subtract: 4688 - (-87836/43689) = 204901868/43689"], "final_answer": "204901868/43689", "answer_type": "rational", "kind": "expression", "math_text": "4688 - (-87836) / (6042 - (-37647))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4688, \"b\": -87836, \"c\": 6042, \"d\": -37647}", "seed": "14396422320610092076", "semantic_fingerprint": "sha256:aca3f9a6cc3025ddea4bc5692f5b4f9a87e91b9182cd898810388814083dc7fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005634", "prompt": "Compute: 1004 - 95877 - 6358", "solution_steps": ["Subtract: 1004 - 95877 = -94873", "Subtract: -94873 - 6358 = -101231"], "final_answer": "-101231", "answer_type": "integer", "kind": "expression", "math_text": "1004 - 95877 - 6358", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1004, \"b\": 95877, \"c\": 6358}", "seed": "8302761326881209479", "semantic_fingerprint": "sha256:0c9c7d1b10a18e65e8bca58e599e121cbc5db21fa81f8181c5a8c94369e5585d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005635", "prompt": "What is -7431 * (-75878)?", "solution_steps": ["Multiply: -7431 * (-75878) = 563849418"], "final_answer": "563849418", "answer_type": "integer", "kind": "expression", "math_text": "-7431 * (-75878)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7431, \"b\": -75878}", "seed": "1978083118345608796", "semantic_fingerprint": "sha256:a245d825696433c9ea2122ae2f41be27124e633c6049af4d27118f8ff2b04916", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005636", "prompt": "Evaluate: 98418 + (-5135)", "solution_steps": ["Add: 98418 + (-5135) = 93283"], "final_answer": "93283", "answer_type": "integer", "kind": "expression", "math_text": "98418 + (-5135)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 98418, \"b\": -5135}", "seed": "1459989154221819935", "semantic_fingerprint": "sha256:7df8e15b68c3bc15531d88ec4b9c9f2f24f369ef9ec0b031ad1706cc158a3960", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005637", "prompt": "Compute: 2402 - 3437 + (5804 - 66587)", "solution_steps": ["Subtract: 2402 - 3437 = -1035", "Subtract: 5804 - 66587 = -60783", "Add: -1035 + (-60783) = -61818"], "final_answer": "-61818", "answer_type": "integer", "kind": "expression", "math_text": "2402 - 3437 + (5804 - 66587)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2402, \"b\": 3437, \"c\": 5804, \"d\": 66587}", "seed": "11395430075950744584", "semantic_fingerprint": "sha256:d9846a57a49066e64065ab98efd7b64ba3980e2673e69f53ad0e4e4f0637cba4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005638", "prompt": "Compute: 10799 + (-8568) + (-96367) * (-74186) / (-4971)", "solution_steps": ["Add: 10799 + (-8568) = 2231", "Multiply: -96367 * (-74186) = 7149082262", "Divide: 7149082262 / (-4971) = -7149082262/4971", "Add: 2231 + (-7149082262/4971) = -7137991961/4971"], "final_answer": "-7137991961/4971", "answer_type": "rational", "kind": "expression", "math_text": "10799 + (-8568) + (-96367) * (-74186) / (-4971)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 10799, \"b\": -8568, \"c\": -96367, \"d\": -74186, \"e\": -4971}", "seed": "18002978749587760366", "semantic_fingerprint": "sha256:f776d0cc66d81f69051c36a869ea332192dc1a3968a515bb64278928403efa5b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005639", "prompt": "Evaluate: 54932 - (-59699) * (-6223 - 3168)", "solution_steps": ["Subtract: -6223 - 3168 = -9391", "Multiply: -59699 * (-9391) = 560633309", "Subtract: 54932 - 560633309 = -560578377"], "final_answer": "-560578377", "answer_type": "integer", "kind": "expression", "math_text": "54932 - (-59699) * (-6223 - 3168)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 54932, \"b\": -59699, \"c\": -6223, \"d\": 3168}", "seed": "7735199630664942457", "semantic_fingerprint": "sha256:7d0ce5972cdbc0e4c2e4a152de65f71659856b73237d2e8e0a9e370f17e1f824", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005640", "prompt": "Compute: 5621 / 2985 + (-9360)", "solution_steps": ["Divide: 5621 / 2985 = 5621/2985", "Add: 5621/2985 + (-9360) = -27933979/2985"], "final_answer": "-27933979/2985", "answer_type": "rational", "kind": "expression", "math_text": "5621 / 2985 + (-9360)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5621, \"b\": 2985, \"c\": -9360}", "seed": "14502042585357180080", "semantic_fingerprint": "sha256:7c43923c482b524eed3a4a6507c8562350081300cc9ca7d856f4f7486c934af8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005641", "prompt": "What is 4344 / (9806 / (-2299))?", "solution_steps": ["Divide: 9806 / (-2299) = -9806/2299", "Divide: 4344 / (-9806/2299) = -4993428/4903"], "final_answer": "-4993428/4903", "answer_type": "rational", "kind": "expression", "math_text": "4344 / (9806 / (-2299))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4344, \"b\": 9806, \"c\": -2299}", "seed": "15167919257731394747", "semantic_fingerprint": "sha256:375c84d6da004fef2cfa2930d878648ab31c08f0abd5ae3cf104084daddd3399", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005642", "prompt": "Calculate: 5320 * 5121 * (-6632) - (2621 + (47318 - (-6041)))", "solution_steps": ["Multiply: 5320 * 5121 = 27243720", "Multiply: 27243720 * (-6632) = -180680351040", "Subtract: 47318 - (-6041) = 53359", "Add: 2621 + 53359 = 55980", "Subtract: -180680351040 - 55980 = -180680407020"], "final_answer": "-180680407020", "answer_type": "integer", "kind": "expression", "math_text": "5320 * 5121 * (-6632) - (2621 + (47318 - (-6041)))", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5320, \"b\": 5121, \"c\": -6632, \"d\": 2621, \"e\": 47318, \"f\": -6041}", "seed": "12427968240820838019", "semantic_fingerprint": "sha256:a0214f745a92b30ce643cb39c7c2ebeaeeb7072cdd91109c8adfa3fbebe9eb7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005643", "prompt": "Compute: -65758 * 1401", "solution_steps": ["Multiply: -65758 * 1401 = -92126958"], "final_answer": "-92126958", "answer_type": "integer", "kind": "expression", "math_text": "-65758 * 1401", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -65758, \"b\": 1401}", "seed": "11427628032782629025", "semantic_fingerprint": "sha256:23f8a5330aecfe01df3a6cf5bd2b2c863421ba9fa964e42cb8447667648a15e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005644", "prompt": "Calculate: 8171 + (-27687)", "solution_steps": ["Add: 8171 + (-27687) = -19516"], "final_answer": "-19516", "answer_type": "integer", "kind": "expression", "math_text": "8171 + (-27687)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8171, \"b\": -27687}", "seed": "3435959122789383824", "semantic_fingerprint": "sha256:828b03181fedd682e65040833d94e6f5a17a197b254dada3319f1cc71627810a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005645", "prompt": "Find x: -35x = x - 4968", "solution_steps": ["Subtract x from both sides: -36x = -4968", "Divide both sides by -36: x = 138"], "final_answer": "138", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x = x - 4968", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"c\": -4968, \"x\": 138}", "seed": "73291986312343331", "semantic_fingerprint": "sha256:8627a5d2037f29083ad0a1db16a5fe6455b4b8a6b4d33af9b23b1992464e0557", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005646", "prompt": "What is -62526 + (-3070)?", "solution_steps": ["Add: -62526 + (-3070) = -65596"], "final_answer": "-65596", "answer_type": "integer", "kind": "expression", "math_text": "-62526 + (-3070)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -62526, \"b\": -3070}", "seed": "17875723332462193042", "semantic_fingerprint": "sha256:5f664f6c04e113495d624ab48eb940f277d31da5de3347322cb04673434e44ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005647", "prompt": "Find x: -23x - 7291 = -9775", "solution_steps": ["Add 7291 to both sides: -23x = -2484", "Divide both sides by -23: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "-23x - 7291 = -9775", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 7291, \"d\": -9775, \"x\": 108}", "seed": "7798960871309938273", "semantic_fingerprint": "sha256:218f37cb4a89fabb70cc1475c47f68f930ef203f04db0022d48c0e6e9a683653", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005648", "prompt": "Calculate: 77309 * (8254 - (-7975 + (-4204)))", "solution_steps": ["Add: -7975 + (-4204) = -12179", "Subtract: 8254 - (-12179) = 20433", "Multiply: 77309 * 20433 = 1579654797"], "final_answer": "1579654797", "answer_type": "integer", "kind": "expression", "math_text": "77309 * (8254 - (-7975 + (-4204)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 77309, \"b\": 8254, \"c\": -7975, \"d\": -4204}", "seed": "8750867104850583177", "semantic_fingerprint": "sha256:e45c4376a2753a30385d61be8e0a53e31eb02bf39c26528b08e44a9c74874033", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005649", "prompt": "Evaluate: -86427 * (-74726)", "solution_steps": ["Multiply: -86427 * (-74726) = 6458344002"], "final_answer": "6458344002", "answer_type": "integer", "kind": "expression", "math_text": "-86427 * (-74726)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86427, \"b\": -74726}", "seed": "8025638634210243898", "semantic_fingerprint": "sha256:6b3e50d49c4a60fff4fc70d83fb01a095c334a60d655525cc09fe9f5eb1b1b2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005650", "prompt": "What is -72719 / (-5950 + (-1358))?", "solution_steps": ["Add: -5950 + (-1358) = -7308", "Divide: -72719 / (-7308) = 72719/7308"], "final_answer": "72719/7308", "answer_type": "rational", "kind": "expression", "math_text": "-72719 / (-5950 + (-1358))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72719, \"b\": -5950, \"c\": -1358}", "seed": "7891179540383184332", "semantic_fingerprint": "sha256:dedae349e9d288a42c508ce497f565e7990e9d252692df9b688c1771315d8849", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005651", "prompt": "Calculate: -85103 + (9321 - (-47606) + (-61860 + (-5360)))", "solution_steps": ["Subtract: 9321 - (-47606) = 56927", "Add: -61860 + (-5360) = -67220", "Add: 56927 + (-67220) = -10293", "Add: -85103 + (-10293) = -95396"], "final_answer": "-95396", "answer_type": "integer", "kind": "expression", "math_text": "-85103 + (9321 - (-47606) + (-61860 + (-5360)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- n n) (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85103, \"b\": 9321, \"c\": -47606, \"d\": -61860, \"e\": -5360}", "seed": "4480400527763811965", "semantic_fingerprint": "sha256:67cb488862a23f6ab90779e5c34ccc83fba074d0be5b3dffbb425e5269454afe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005652", "prompt": "Solve the equation x + 1821 = 13x + 3933 for x.", "solution_steps": ["Subtract 13x from both sides: -12x + 1821 = 3933", "Subtract 1821 from both sides: -12x = 2112", "Divide both sides by -12: x = -176"], "final_answer": "-176", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1821 = 13x + 3933", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1821, \"b\": 13, \"d\": 3933, \"x\": -176}", "seed": "10567209385235127165", "semantic_fingerprint": "sha256:50972ad973acc89aede39f8e25829432e053040c15b0a8780e28114433b76152", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005653", "prompt": "Calculate: -21941 * 6841", "solution_steps": ["Multiply: -21941 * 6841 = -150098381"], "final_answer": "-150098381", "answer_type": "integer", "kind": "expression", "math_text": "-21941 * 6841", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -21941, \"b\": 6841}", "seed": "13742020839606593289", "semantic_fingerprint": "sha256:e4d9ac716c230a932452275ab20704c42a8b96f05c4f679623c39656a3fb6a74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005654", "prompt": "Evaluate: 8955 + 5500", "solution_steps": ["Add: 8955 + 5500 = 14455"], "final_answer": "14455", "answer_type": "integer", "kind": "expression", "math_text": "8955 + 5500", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8955, \"b\": 5500}", "seed": "15002905748239298760", "semantic_fingerprint": "sha256:93d8b24a472f07f001420d456dcf81ba9cb434ff30e48712ab39965925a4f255", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005655", "prompt": "What is 1102 - 1501 + 4748 / (-3402 / 5116)?", "solution_steps": ["Subtract: 1102 - 1501 = -399", "Divide: -3402 / 5116 = -1701/2558", "Divide: 4748 / (-1701/2558) = -12145384/1701", "Add: -399 + (-12145384/1701) = -12824083/1701"], "final_answer": "-12824083/1701", "answer_type": "rational", "kind": "expression", "math_text": "1102 - 1501 + 4748 / (-3402 / 5116)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1102, \"b\": 1501, \"c\": 4748, \"d\": -3402, \"e\": 5116}", "seed": "8118978286979175334", "semantic_fingerprint": "sha256:fe5e5137ba572c2cebfab4a0a19b55683e461aa6728284372b810f77d5074f20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005656", "prompt": "Calculate: 9916 - (-81007) / 68059", "solution_steps": ["Divide: -81007 / 68059 = -81007/68059", "Subtract: 9916 - (-81007/68059) = 674954051/68059"], "final_answer": "674954051/68059", "answer_type": "rational", "kind": "expression", "math_text": "9916 - (-81007) / 68059", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9916, \"b\": -81007, \"c\": 68059}", "seed": "12966971100872805069", "semantic_fingerprint": "sha256:1d5ca4f3f3b2b0b28d0e8f7e98445f48bf497d805db9c909fa35f176d5fdf3ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005657", "prompt": "Calculate: 2371 / (-60498 - (-64093)) * (-2307)", "solution_steps": ["Subtract: -60498 - (-64093) = 3595", "Divide: 2371 / 3595 = 2371/3595", "Multiply: (2371/3595) * (-2307) = -5469897/3595"], "final_answer": "-5469897/3595", "answer_type": "rational", "kind": "expression", "math_text": "2371 / (-60498 - (-64093)) * (-2307)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2371, \"b\": -60498, \"c\": -64093, \"d\": -2307}", "seed": "2809292562307921439", "semantic_fingerprint": "sha256:f6b83ec954d47b701ede93ea4b6f87dc4cedd00966ef3c3e1430e30a9745a501", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005658", "prompt": "Evaluate: 3696 + 3201 * (-5780 * 8013)", "solution_steps": ["Multiply: -5780 * 8013 = -46315140", "Multiply: 3201 * (-46315140) = -148254763140", "Add: 3696 + (-148254763140) = -148254759444"], "final_answer": "-148254759444", "answer_type": "integer", "kind": "expression", "math_text": "3696 + 3201 * (-5780 * 8013)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3696, \"b\": 3201, \"c\": -5780, \"d\": 8013}", "seed": "3295607014264629224", "semantic_fingerprint": "sha256:566c62de262873b416d6995c92e6e4694fc2ffc260ccd2e28009dc741e6561a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005659", "prompt": "Find x: -22x - 3220 = x", "solution_steps": ["Subtract x from both sides: -23x - 3220 = 0", "Add 3220 to both sides: -23x = 3220", "Divide both sides by -23: x = -140"], "final_answer": "-140", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22x - 3220 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -22, \"c\": -3220, \"x\": -140}", "seed": "9396867564193796480", "semantic_fingerprint": "sha256:bce10d62ee50da198a78a743ec5771f1aed0084d49951c34df0b215a1e13aa04", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005660", "prompt": "Calculate: 9628 + (10835 + (-58650 - (-6259)) * (7689 - 7251))", "solution_steps": ["Subtract: -58650 - (-6259) = -52391", "Subtract: 7689 - 7251 = 438", "Multiply: -52391 * 438 = -22947258", "Add: 10835 + (-22947258) = -22936423", "Add: 9628 + (-22936423) = -22926795"], "final_answer": "-22926795", "answer_type": "integer", "kind": "expression", "math_text": "9628 + (10835 + (-58650 - (-6259)) * (7689 - 7251))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (* (- n n) (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 9628, \"b\": 10835, \"c\": -58650, \"d\": -6259, \"e\": 7689, \"f\": 7251}", "seed": "16415096703047479051", "semantic_fingerprint": "sha256:d9716fc5d7630be71477e8a9e285471c8644816105e9487a16779526b1e1dec3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005661", "prompt": "Calculate: 6649 * (-4161)", "solution_steps": ["Multiply: 6649 * (-4161) = -27666489"], "final_answer": "-27666489", "answer_type": "integer", "kind": "expression", "math_text": "6649 * (-4161)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6649, \"b\": -4161}", "seed": "7070074238626727646", "semantic_fingerprint": "sha256:f74d0e49fb30fa841a627ec382ef4c16362abe6c7b3245976be89dc84b856d88", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005662", "prompt": "Calculate: (-74309 - 53750) / 4762", "solution_steps": ["Subtract: -74309 - 53750 = -128059", "Divide: -128059 / 4762 = -128059/4762"], "final_answer": "-128059/4762", "answer_type": "rational", "kind": "expression", "math_text": "(-74309 - 53750) / 4762", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -74309, \"b\": 53750, \"c\": 4762}", "seed": "3661629481964945989", "semantic_fingerprint": "sha256:838ebb29234e0a66d514657266d8be701bfc80d7388006c7b4cdb0532dd6ba2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005663", "prompt": "What is 4256 + (-78395) + 3283 * (-8531)?", "solution_steps": ["Add: 4256 + (-78395) = -74139", "Multiply: 3283 * (-8531) = -28007273", "Add: -74139 + (-28007273) = -28081412"], "final_answer": "-28081412", "answer_type": "integer", "kind": "expression", "math_text": "4256 + (-78395) + 3283 * (-8531)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4256, \"b\": -78395, \"c\": 3283, \"d\": -8531}", "seed": "3939621296842990471", "semantic_fingerprint": "sha256:e2f51b13b4988a5c1f4d979b9de3735fdf6184738a3b3d456c5352825d9bc5b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005664", "prompt": "Evaluate: 80557 + (3518 - (-2683)) / (-71789 / 91522)", "solution_steps": ["Subtract: 3518 - (-2683) = 6201", "Divide: -71789 / 91522 = -71789/91522", "Divide: 6201 / (-71789/91522) = -567527922/71789", "Add: 80557 + (-567527922/71789) = 5215578551/71789"], "final_answer": "5215578551/71789", "answer_type": "rational", "kind": "expression", "math_text": "80557 + (3518 - (-2683)) / (-71789 / 91522)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 80557, \"b\": 3518, \"c\": -2683, \"d\": -71789, \"e\": 91522}", "seed": "2235616047962635310", "semantic_fingerprint": "sha256:d2473f32616dd5c655f19c6063bf9adb731c4a7b1abb0acf7a852b589f488e87", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005665", "prompt": "Find x: x = -40x", "solution_steps": ["Add 40x to both sides: 41x = 0", "Divide both sides by 41: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -40x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -40}", "seed": "2220292258141439854", "semantic_fingerprint": "sha256:61db7acb2f41c27b8e457477c85e9634f5569981f3af6709ee65bdec5a2a2b14", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005666", "prompt": "What is 5947 - 8329?", "solution_steps": ["Subtract: 5947 - 8329 = -2382"], "final_answer": "-2382", "answer_type": "integer", "kind": "expression", "math_text": "5947 - 8329", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5947, \"b\": 8329}", "seed": "12351977729701102120", "semantic_fingerprint": "sha256:26782ea983bf35065509443185412cfa5845816067bc517ddf3c0faa6040636e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005667", "prompt": "Calculate: 63214 * (-9149)", "solution_steps": ["Multiply: 63214 * (-9149) = -578344886"], "final_answer": "-578344886", "answer_type": "integer", "kind": "expression", "math_text": "63214 * (-9149)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 63214, \"b\": -9149}", "seed": "9237822462996532635", "semantic_fingerprint": "sha256:63b0c98bd1bad3c6d9fc9f4465c6aa63fb41e40f1d055c24301485d046b483f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005668", "prompt": "Find x: 39(x + 8320) - 2929 = 31(x - 5818) - 8690", "solution_steps": ["Expand: 39x + 324480 - 2929 = 31(x - 5818) - 8690", "Expand: 39x + 324480 - 2929 = 31x - 180358 - 8690", "Combine constants: 39x + 321551 = 31x - 180358 - 8690", "Combine constants: 39x + 321551 = 31x - 189048", "Subtract 31x from both sides: 8x + 321551 = -189048", "Subtract 321551 from both sides: 8x = -510599", "Divide both sides by 8: x = -510599/8"], "final_answer": "-510599/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 8320) - 2929 = 31(x - 5818) - 8690", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 8320, \"c\": 2929, \"d\": 31, \"e\": 5818, \"f\": 8690}", "seed": "14621695191004344481", "semantic_fingerprint": "sha256:3dbee7cb3d38c022a4ed1b3b7560aaf06a2be8de0ada8d53e81bbf498957da5b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005669", "prompt": "Evaluate: 6753 * (-91440 - (-4957))", "solution_steps": ["Subtract: -91440 - (-4957) = -86483", "Multiply: 6753 * (-86483) = -584019699"], "final_answer": "-584019699", "answer_type": "integer", "kind": "expression", "math_text": "6753 * (-91440 - (-4957))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6753, \"b\": -91440, \"c\": -4957}", "seed": "588055767435555844", "semantic_fingerprint": "sha256:a90851ea6cde877f193695ebaeed13a630422a4a549c8a18f4d8b2441fe6749f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005670", "prompt": "What is (3054 - 5451 + (-1378)) / (-1327 / 3966)?", "solution_steps": ["Subtract: 3054 - 5451 = -2397", "Add: -2397 + (-1378) = -3775", "Divide: -1327 / 3966 = -1327/3966", "Divide: -3775 / (-1327/3966) = 14971650/1327"], "final_answer": "14971650/1327", "answer_type": "rational", "kind": "expression", "math_text": "(3054 - 5451 + (-1378)) / (-1327 / 3966)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3054, \"b\": 5451, \"c\": -1378, \"d\": -1327, \"e\": 3966}", "seed": "9105772693844860337", "semantic_fingerprint": "sha256:b0256a1fb0c5c1fe8bfc13ac5c3eb782222e0c41b1645757daf7594419720b69", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005671", "prompt": "Compute: -86618 / (6493 - 7868) * (-32372 - (-1111))", "solution_steps": ["Subtract: 6493 - 7868 = -1375", "Divide: -86618 / (-1375) = 86618/1375", "Subtract: -32372 - (-1111) = -31261", "Multiply: (86618/1375) * (-31261) = -2707765298/1375"], "final_answer": "-2707765298/1375", "answer_type": "rational", "kind": "expression", "math_text": "-86618 / (6493 - 7868) * (-32372 - (-1111))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -86618, \"b\": 6493, \"c\": 7868, \"d\": -32372, \"e\": -1111}", "seed": "576731238454363105", "semantic_fingerprint": "sha256:d6bfa2ad79b5e6813cab29a31fffb166148964be78203d1ec1b4027f438b067d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005672", "prompt": "Calculate: 73085 + (-5573 + (1706 + (-1428)))", "solution_steps": ["Add: 1706 + (-1428) = 278", "Add: -5573 + 278 = -5295", "Add: 73085 + (-5295) = 67790"], "final_answer": "67790", "answer_type": "integer", "kind": "expression", "math_text": "73085 + (-5573 + (1706 + (-1428)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 73085, \"b\": -5573, \"c\": 1706, \"d\": -1428}", "seed": "5604402620352978406", "semantic_fingerprint": "sha256:ae60b82b9e664941f73e42d495ae10274559664cf6bfaa4c9450a49a651b2a26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005673", "prompt": "Find x: x = 28x", "solution_steps": ["Subtract 28x from both sides: -27x = 0", "Divide both sides by -27: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 28x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 28}", "seed": "2740029539880814737", "semantic_fingerprint": "sha256:f9607ecc655d9a97fc030b302a1a5e85f10410d65d0597b3de0dfbf61843c983", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005674", "prompt": "What is (6335 + (-81877 + 24228) - (-4065)) * 11866?", "solution_steps": ["Add: -81877 + 24228 = -57649", "Add: 6335 + (-57649) = -51314", "Subtract: -51314 - (-4065) = -47249", "Multiply: -47249 * 11866 = -560656634"], "final_answer": "-560656634", "answer_type": "integer", "kind": "expression", "math_text": "(6335 + (-81877 + 24228) - (-4065)) * 11866", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6335, \"b\": -81877, \"c\": 24228, \"d\": -4065, \"e\": 11866}", "seed": "6576326069722875944", "semantic_fingerprint": "sha256:fbcc167c8d12f43fb4fe0879503dab27ff11858c6f9bbb11ce88762d0841bbb6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005675", "prompt": "Calculate: 3618 - (-57188 + 5819)", "solution_steps": ["Add: -57188 + 5819 = -51369", "Subtract: 3618 - (-51369) = 54987"], "final_answer": "54987", "answer_type": "integer", "kind": "expression", "math_text": "3618 - (-57188 + 5819)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3618, \"b\": -57188, \"c\": 5819}", "seed": "3998921111304478333", "semantic_fingerprint": "sha256:61db8b5c4357637074675725f2b57c66770c370cfeb406ab6c1f149f3e9988a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005676", "prompt": "What value of x satisfies -31(x - 7005) - 9218 = 35x - 89925?", "solution_steps": ["Expand: -31x + 217155 - 9218 = 35x - 89925", "Combine constants: -31x + 207937 = 35x - 89925", "Subtract 35x from both sides: -66x + 207937 = -89925", "Subtract 207937 from both sides: -66x = -297862", "Divide both sides by -66: x = 148931/33"], "final_answer": "148931/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31(x - 7005) - 9218 = 35x - 89925", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 7005, \"c\": 9218, \"d\": 35, \"e\": 89925}", "seed": "5585567497097075588", "semantic_fingerprint": "sha256:3574dd82c44a073449410dfde5644a23148767c8f7d636ab5a26a70f5b71fcfc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005677", "prompt": "Compute: 78144 / (-9936 - (-60002) / 3743)", "solution_steps": ["Divide: -60002 / 3743 = -3158/197", "Subtract: -9936 - (-3158/197) = -1954234/197", "Divide: 78144 / (-1954234/197) = -7697184/977117"], "final_answer": "-7697184/977117", "answer_type": "rational", "kind": "expression", "math_text": "78144 / (-9936 - (-60002) / 3743)", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 78144, \"b\": -9936, \"c\": -60002, \"d\": 3743}", "seed": "260736965925933301", "semantic_fingerprint": "sha256:46bc29075340ebe3777e3ef33a5be99b06ad60bd93f6d15a939b2f41ece28372", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005678", "prompt": "Calculate: -2599 + (-7724)", "solution_steps": ["Add: -2599 + (-7724) = -10323"], "final_answer": "-10323", "answer_type": "integer", "kind": "expression", "math_text": "-2599 + (-7724)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2599, \"b\": -7724}", "seed": "16360783515215819357", "semantic_fingerprint": "sha256:d84b5ffed5eca72ac84b20b432b097b4ff2351dfc39a858824a542d890aba18b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005679", "prompt": "Solve the equation 36(x + 16360) + 8761 = -51213 for x.", "solution_steps": ["Expand: 36x + 588960 + 8761 = -51213", "Combine constants: 36x + 597721 = -51213", "Subtract 597721 from both sides: 36x = -648934", "Divide both sides by 36: x = -324467/18"], "final_answer": "-324467/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x + 16360) + 8761 = -51213", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 16360, \"c\": 8761, \"d\": -51213}", "seed": "1347863168656656256", "semantic_fingerprint": "sha256:7760fbbe215f03ce7e31dfd0c64c547e3c237ef6cc7ad5343cadb192dcadfaf4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005680", "prompt": "Evaluate: (2377 * (-7720) - (-2622)) * 1076 + (-5934 - (-4678))", "solution_steps": ["Multiply: 2377 * (-7720) = -18350440", "Subtract: -18350440 - (-2622) = -18347818", "Multiply: -18347818 * 1076 = -19742252168", "Subtract: -5934 - (-4678) = -1256", "Add: -19742252168 + (-1256) = -19742253424"], "final_answer": "-19742253424", "answer_type": "integer", "kind": "expression", "math_text": "(2377 * (-7720) - (-2622)) * 1076 + (-5934 - (-4678))", "variable": null, "family": "expression_5op", "shape": "(+ (* (- (* n n) n) n) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2377, \"b\": -7720, \"c\": -2622, \"d\": 1076, \"e\": -5934, \"f\": -4678}", "seed": "14296392373572821721", "semantic_fingerprint": "sha256:790a0b6af167c3cbc4c9743692a50fb115341a0d21e8939c56047a5bdb46ca68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005681", "prompt": "Evaluate: -98699 - 89298 - 1127", "solution_steps": ["Subtract: -98699 - 89298 = -187997", "Subtract: -187997 - 1127 = -189124"], "final_answer": "-189124", "answer_type": "integer", "kind": "expression", "math_text": "-98699 - 89298 - 1127", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -98699, \"b\": 89298, \"c\": 1127}", "seed": "5464798743862950273", "semantic_fingerprint": "sha256:255153bfde2ac247e834368dc0c69742f9d360b12486d2c12f867a6eaacd3769", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005682", "prompt": "Find x: -40(x - 4094) - 41759 = 25(x + 2763) + 50716", "solution_steps": ["Expand: -40x + 163760 - 41759 = 25(x + 2763) + 50716", "Expand: -40x + 163760 - 41759 = 25x + 69075 + 50716", "Combine constants: -40x + 122001 = 25x + 69075 + 50716", "Combine constants: -40x + 122001 = 25x + 119791", "Subtract 25x from both sides: -65x + 122001 = 119791", "Subtract 122001 from both sides: -65x = -2210", "Divide both sides by -65: x = 34"], "final_answer": "34", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40(x - 4094) - 41759 = 25(x + 2763) + 50716", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 4094, \"c\": 41759, \"d\": 25, \"e\": 2763, \"g\": 50716, \"x\": 34}", "seed": "14763756483789127350", "semantic_fingerprint": "sha256:bec803a31bd5a423866d63b175910b2e8fad392418ec3f7977f00d08879aa91d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005683", "prompt": "What is 1898 + 8545?", "solution_steps": ["Add: 1898 + 8545 = 10443"], "final_answer": "10443", "answer_type": "integer", "kind": "expression", "math_text": "1898 + 8545", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1898, \"b\": 8545}", "seed": "7591420319726098320", "semantic_fingerprint": "sha256:c65ead3926833ad804742779e40f9853f5ae01011d6e73f25b27c751b863b7d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005684", "prompt": "Compute: (4710 / 2775 + (-6515) * 1004) * (5504 / 20496)", "solution_steps": ["Divide: 4710 / 2775 = 314/185", "Multiply: -6515 * 1004 = -6541060", "Add: 314/185 + (-6541060) = -1210095786/185", "Divide: 5504 / 20496 = 344/1281", "Multiply: (-1210095786/185) * (344/1281) = -138757650128/78995"], "final_answer": "-138757650128/78995", "answer_type": "rational", "kind": "expression", "math_text": "(4710 / 2775 + (-6515) * 1004) * (5504 / 20496)", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4710, \"b\": 2775, \"c\": -6515, \"d\": 1004, \"e\": 5504, \"f\": 20496}", "seed": "14191902272411500669", "semantic_fingerprint": "sha256:e5aeb5b296007d1cd60c8ba23d6ebb14464161275a346bd3eb18d2a6a0df80c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005685", "prompt": "Calculate: (-1610 - 35969) * (-9087)", "solution_steps": ["Subtract: -1610 - 35969 = -37579", "Multiply: -37579 * (-9087) = 341480373"], "final_answer": "341480373", "answer_type": "integer", "kind": "expression", "math_text": "(-1610 - 35969) * (-9087)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1610, \"b\": 35969, \"c\": -9087}", "seed": "3742920787430330043", "semantic_fingerprint": "sha256:c8661a875d692acfdb81120aa0f80ffdd37f6f1cc281b54d92edd33466f70038", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005686", "prompt": "What is 90512 - 8215 * 2218 / (-32893)?", "solution_steps": ["Multiply: 8215 * 2218 = 18220870", "Divide: 18220870 / (-32893) = -18220870/32893", "Subtract: 90512 - (-18220870/32893) = 2995432086/32893"], "final_answer": "2995432086/32893", "answer_type": "rational", "kind": "expression", "math_text": "90512 - 8215 * 2218 / (-32893)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 90512, \"b\": 8215, \"c\": 2218, \"d\": -32893}", "seed": "14256497060877415785", "semantic_fingerprint": "sha256:ea0c9fbf7de2052929ecfa3adbe8242bb7f77e5377b858b46cba13a33a82417b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005687", "prompt": "Evaluate: 60233 + (-95358) / (-96581)", "solution_steps": ["Divide: -95358 / (-96581) = 95358/96581", "Add: 60233 + 95358/96581 = 5817458731/96581"], "final_answer": "5817458731/96581", "answer_type": "rational", "kind": "expression", "math_text": "60233 + (-95358) / (-96581)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60233, \"b\": -95358, \"c\": -96581}", "seed": "6571836353411360677", "semantic_fingerprint": "sha256:e27abef37f7f06970e3a0b027da1901d055e39c64d3ac18096ef00b79658b197", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005688", "prompt": "What is (-7394 + (5043 + (-98229))) / (5211 / 7261)?", "solution_steps": ["Add: 5043 + (-98229) = -93186", "Add: -7394 + (-93186) = -100580", "Divide: 5211 / 7261 = 5211/7261", "Divide: -100580 / (5211/7261) = -730311380/5211"], "final_answer": "-730311380/5211", "answer_type": "rational", "kind": "expression", "math_text": "(-7394 + (5043 + (-98229))) / (5211 / 7261)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -7394, \"b\": 5043, \"c\": -98229, \"d\": 5211, \"e\": 7261}", "seed": "16994436952151843129", "semantic_fingerprint": "sha256:ec3cf8801a75b8540b2c299c34c57ed130a564e49857ffd8d33389ddd7f5838c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005689", "prompt": "Solve the equation 15(x + 8082) - 92622 = -37(x + 8380) for x.", "solution_steps": ["Expand: 15x + 121230 - 92622 = -37(x + 8380)", "Expand: 15x + 121230 - 92622 = -37x - 310060", "Combine constants: 15x + 28608 = -37x - 310060", "Add 37x to both sides: 52x + 28608 = -310060", "Subtract 28608 from both sides: 52x = -338668", "Divide both sides by 52: x = -84667/13"], "final_answer": "-84667/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 8082) - 92622 = -37(x + 8380)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 8082, \"c\": 92622, \"d\": -37, \"e\": 8380}", "seed": "3374669843099803631", "semantic_fingerprint": "sha256:eeae9d324d550d2803f19d17af125b82b4dd272cd52cf47f16d45ecbef7a4c84", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005690", "prompt": "What is 7802 + (-84011) - (-78484) * (-19266)?", "solution_steps": ["Add: 7802 + (-84011) = -76209", "Multiply: -78484 * (-19266) = 1512072744", "Subtract: -76209 - 1512072744 = -1512148953"], "final_answer": "-1512148953", "answer_type": "integer", "kind": "expression", "math_text": "7802 + (-84011) - (-78484) * (-19266)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7802, \"b\": -84011, \"c\": -78484, \"d\": -19266}", "seed": "12076325741092204015", "semantic_fingerprint": "sha256:b43c6f58bb3c4080c7266c3087ea65d4eb9c57c4cfb2018d8332150a8d6141ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005691", "prompt": "What is (-12121 + (-5416)) / (-4012)?", "solution_steps": ["Add: -12121 + (-5416) = -17537", "Divide: -17537 / (-4012) = 17537/4012"], "final_answer": "17537/4012", "answer_type": "rational", "kind": "expression", "math_text": "(-12121 + (-5416)) / (-4012)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12121, \"b\": -5416, \"c\": -4012}", "seed": "503287926503994678", "semantic_fingerprint": "sha256:c6ee6376b80aeded44b4d9005f59fa670df38314a1f4dc19f9ff7e20c37996e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005692", "prompt": "Evaluate: -6376 + (-1581 + (4526 + (-3570)) - (-3805))", "solution_steps": ["Add: 4526 + (-3570) = 956", "Add: -1581 + 956 = -625", "Subtract: -625 - (-3805) = 3180", "Add: -6376 + 3180 = -3196"], "final_answer": "-3196", "answer_type": "integer", "kind": "expression", "math_text": "-6376 + (-1581 + (4526 + (-3570)) - (-3805))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6376, \"b\": -1581, \"c\": 4526, \"d\": -3570, \"e\": -3805}", "seed": "12202470985785198291", "semantic_fingerprint": "sha256:a27b68ac5b3fd39ebd7a9e5fb7b77a91e85342795405b78c45a66075c3d54fa7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005693", "prompt": "Evaluate: (-54797 + (-50576)) * (-19014)", "solution_steps": ["Add: -54797 + (-50576) = -105373", "Multiply: -105373 * (-19014) = 2003562222"], "final_answer": "2003562222", "answer_type": "integer", "kind": "expression", "math_text": "(-54797 + (-50576)) * (-19014)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -54797, \"b\": -50576, \"c\": -19014}", "seed": "15126611092595520593", "semantic_fingerprint": "sha256:6f8c399e42c02cb7454f6b7280774e9ed1618c97161b14d698bd82e205c6e711", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005694", "prompt": "Find x: x + 3027 = 3212", "solution_steps": ["Subtract 3027 from both sides: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3027 = 3212", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3027, \"c\": 3212, \"x\": 185}", "seed": "9342864489910556189", "semantic_fingerprint": "sha256:ed2610ddb0885a8c3d6fec63c0e3e4b6856ce7c4d0e7d37b73b4057774c87256", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005695", "prompt": "What value of x satisfies x = -37(x + 7009)?", "solution_steps": ["Expand: x = -37x - 259333", "Add 37x to both sides: 38x = -259333", "Divide both sides by 38: x = -259333/38"], "final_answer": "-259333/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -37(x + 7009)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 7009}", "seed": "5568646275252203411", "semantic_fingerprint": "sha256:6dd6f78f5b82d3ac22657f57aa086a4a7456ad8980787581a9813df5d9aa6e8e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005696", "prompt": "Calculate: -66429 * (-9970)", "solution_steps": ["Multiply: -66429 * (-9970) = 662297130"], "final_answer": "662297130", "answer_type": "integer", "kind": "expression", "math_text": "-66429 * (-9970)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -66429, \"b\": -9970}", "seed": "6139603489938248128", "semantic_fingerprint": "sha256:7fe2a46f3058411e305d7dec6b86dac5049d2a8483d34dd1f03d7eed3b5a71fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005697", "prompt": "Solve for x: 17x + 1579 = -16(x - 2265) - 38027", "solution_steps": ["Expand: 17x + 1579 = -16x + 36240 - 38027", "Combine constants: 17x + 1579 = -16x - 1787", "Add 16x to both sides: 33x + 1579 = -1787", "Subtract 1579 from both sides: 33x = -3366", "Divide both sides by 33: x = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x + 1579 = -16(x - 2265) - 38027", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 1579, \"c\": -16, \"d\": 2265, \"f\": -38027, \"x\": -102}", "seed": "16601383794880718719", "semantic_fingerprint": "sha256:5c8cb157244c25ee1ea45908cbb77380aa53a8c69ef844f3d26b740e444c1afb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005698", "prompt": "Compute: 7363 - (-7451) - (-7314)", "solution_steps": ["Subtract: 7363 - (-7451) = 14814", "Subtract: 14814 - (-7314) = 22128"], "final_answer": "22128", "answer_type": "integer", "kind": "expression", "math_text": "7363 - (-7451) - (-7314)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7363, \"b\": -7451, \"c\": -7314}", "seed": "13100485176102050946", "semantic_fingerprint": "sha256:c21520c9811d61d14dddda2fa02f2f5ba91a255a5ced7e89eb926e69f46e59c4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005699", "prompt": "Solve for x: 24x = x - 4450", "solution_steps": ["Subtract x from both sides: 23x = -4450", "Divide both sides by 23: x = -4450/23"], "final_answer": "-4450/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24x = x - 4450", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 4450}", "seed": "11356955538249746133", "semantic_fingerprint": "sha256:aa3be0750199a3a18be521c126c9be1a54f5b34264d4bea6ed6588398cacb8ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005700", "prompt": "What is -4027 * 2184?", "solution_steps": ["Multiply: -4027 * 2184 = -8794968"], "final_answer": "-8794968", "answer_type": "integer", "kind": "expression", "math_text": "-4027 * 2184", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4027, \"b\": 2184}", "seed": "8836252933229948382", "semantic_fingerprint": "sha256:b58be4c91abe9a97edc5e0838ba4f33ef00c1f2097a6451d760f14d2da677b30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005701", "prompt": "Calculate: -1198 / (36617 + 7719)", "solution_steps": ["Add: 36617 + 7719 = 44336", "Divide: -1198 / 44336 = -599/22168"], "final_answer": "-599/22168", "answer_type": "rational", "kind": "expression", "math_text": "-1198 / (36617 + 7719)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1198, \"b\": 36617, \"c\": 7719}", "seed": "10391527014276786019", "semantic_fingerprint": "sha256:bdd6b80d7d168c026365c011c4ff5d251eaa3d3512f70a159e6de1476329cde5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005702", "prompt": "Solve the equation 13(x + 3028) + 6791 = x for x.", "solution_steps": ["Expand: 13x + 39364 + 6791 = x", "Combine constants: 13x + 46155 = x", "Subtract x from both sides: 12x + 46155 = 0", "Subtract 46155 from both sides: 12x = -46155", "Divide both sides by 12: x = -15385/4"], "final_answer": "-15385/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 3028) + 6791 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 3028, \"c\": 6791}", "seed": "6910946826840706340", "semantic_fingerprint": "sha256:2b3e20dc946466a7ef7e37d55b7f3b9f7fecee5147585efb095397bf8b7040be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005703", "prompt": "Evaluate: -96814 / 23489 + (-7211)", "solution_steps": ["Divide: -96814 / 23489 = -96814/23489", "Add: -96814/23489 + (-7211) = -169475993/23489"], "final_answer": "-169475993/23489", "answer_type": "rational", "kind": "expression", "math_text": "-96814 / 23489 + (-7211)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -96814, \"b\": 23489, \"c\": -7211}", "seed": "8573377733088229058", "semantic_fingerprint": "sha256:b7e70d07a3c655de0ae3c955354229e5e7ed664fe5c994c065de267775c4a716", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005704", "prompt": "Solve for x: 18(x + 1478) - 4287 = -21(x - 2208) - 20229", "solution_steps": ["Expand: 18x + 26604 - 4287 = -21(x - 2208) - 20229", "Expand: 18x + 26604 - 4287 = -21x + 46368 - 20229", "Combine constants: 18x + 22317 = -21x + 46368 - 20229", "Combine constants: 18x + 22317 = -21x + 26139", "Add 21x to both sides: 39x + 22317 = 26139", "Subtract 22317 from both sides: 39x = 3822", "Divide both sides by 39: x = 98"], "final_answer": "98", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 1478) - 4287 = -21(x - 2208) - 20229", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 1478, \"c\": 4287, \"d\": -21, \"e\": 2208, \"g\": -20229, \"x\": 98}", "seed": "5093034283896797550", "semantic_fingerprint": "sha256:d3ff5d2ddf70126a52073f88c7cfdbf8487a2f583457a1e8e805a0b54083e5e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005705", "prompt": "Solve for x: x - 5751 = 18x + 2124", "solution_steps": ["Subtract 18x from both sides: -17x - 5751 = 2124", "Add 5751 to both sides: -17x = 7875", "Divide both sides by -17: x = -7875/17"], "final_answer": "-7875/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5751 = 18x + 2124", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5751, \"b\": 18, \"c\": 2124}", "seed": "17397744368210016855", "semantic_fingerprint": "sha256:7ae9be3d25941649ad5a903793ef9e2b48ab899795803d1ee4773e46ba6ceb00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005706", "prompt": "Calculate: (-1820 - 3982) / (-69147) * (-4002 + 6947) + 5101", "solution_steps": ["Subtract: -1820 - 3982 = -5802", "Divide: -5802 / (-69147) = 1934/23049", "Add: -4002 + 6947 = 2945", "Multiply: (1934/23049) * 2945 = 5695630/23049", "Add: 5695630/23049 + 5101 = 123268579/23049"], "final_answer": "123268579/23049", "answer_type": "rational", "kind": "expression", "math_text": "(-1820 - 3982) / (-69147) * (-4002 + 6947) + 5101", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ (- n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1820, \"b\": 3982, \"c\": -69147, \"d\": -4002, \"e\": 6947, \"f\": 5101}", "seed": "13803741018017740182", "semantic_fingerprint": "sha256:5b104934278999813b75bd5b58f9b790765ba85e207793982e5120e47c80d521", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005707", "prompt": "Solve for x: 32x = x - 5735", "solution_steps": ["Subtract x from both sides: 31x = -5735", "Divide both sides by 31: x = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x = x - 5735", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": -5735, \"x\": -185}", "seed": "3629135250524036828", "semantic_fingerprint": "sha256:415508d6d78ba8b251e84f0b21517480ffbf09c30ac4d9c4c2265afad37ceb25", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005708", "prompt": "Solve for x: -19x = x + 1440", "solution_steps": ["Subtract x from both sides: -20x = 1440", "Divide both sides by -20: x = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x = x + 1440", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"c\": 1440, \"x\": -72}", "seed": "17881469109583959164", "semantic_fingerprint": "sha256:545974e5eec73e37cac344771a10605f11683efee374262da2452c96e4ba7037", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005709", "prompt": "Compute: -71835 * 8833 + 78244", "solution_steps": ["Multiply: -71835 * 8833 = -634518555", "Add: -634518555 + 78244 = -634440311"], "final_answer": "-634440311", "answer_type": "integer", "kind": "expression", "math_text": "-71835 * 8833 + 78244", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -71835, \"b\": 8833, \"c\": 78244}", "seed": "3565402247662992150", "semantic_fingerprint": "sha256:e0968d20c4fa9f7f9c1faa3b65be24d7f763ce7bc57a354df6bd6d11e086fd4c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005710", "prompt": "Calculate: (-3796 + (8204 + 4691)) * (-15051 - 28942)", "solution_steps": ["Add: 8204 + 4691 = 12895", "Add: -3796 + 12895 = 9099", "Subtract: -15051 - 28942 = -43993", "Multiply: 9099 * (-43993) = -400292307"], "final_answer": "-400292307", "answer_type": "integer", "kind": "expression", "math_text": "(-3796 + (8204 + 4691)) * (-15051 - 28942)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3796, \"b\": 8204, \"c\": 4691, \"d\": -15051, \"e\": 28942}", "seed": "9260241098793357877", "semantic_fingerprint": "sha256:d2fac5c1f1991254ab7a35a8b1335ce19db8b96ce41e132c8e05a09ba9c4cbe4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005711", "prompt": "Solve for x: 36x + 7821 = 37x - 6159", "solution_steps": ["Subtract 37x from both sides: -x + 7821 = -6159", "Subtract 7821 from both sides: -x = -13980", "Divide both sides by -1: x = 13980"], "final_answer": "13980", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x + 7821 = 37x - 6159", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 7821, \"c\": 37, \"d\": 6159}", "seed": "5267518482186073677", "semantic_fingerprint": "sha256:96131ea2e1bcf7928effd9ee96e8258aea4f80745072d701818aa127570b10b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005712", "prompt": "What value of x satisfies 16x = 28x?", "solution_steps": ["Subtract 28x from both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x = 28x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 28}", "seed": "9145063945336765695", "semantic_fingerprint": "sha256:0d43d7f663a2081e66a39c91c03d52c138c642286e4ea1bdbee211656ec783df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005713", "prompt": "What value of x satisfies x = -28(x + 2217) + 6053?", "solution_steps": ["Expand: x = -28x - 62076 + 6053", "Combine constants: x = -28x - 56023", "Add 28x to both sides: 29x = -56023", "Divide both sides by 29: x = -56023/29"], "final_answer": "-56023/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -28(x + 2217) + 6053", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 2217, \"c\": 6053}", "seed": "7536254872859827227", "semantic_fingerprint": "sha256:8a9849f065c8532ccf9cd87c05a13a44b1e3f031de2d95c1a3d8ab49f29b242e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005714", "prompt": "Calculate: -9578 * (-8751 + (64054 + (-37489)))", "solution_steps": ["Add: 64054 + (-37489) = 26565", "Add: -8751 + 26565 = 17814", "Multiply: -9578 * 17814 = -170622492"], "final_answer": "-170622492", "answer_type": "integer", "kind": "expression", "math_text": "-9578 * (-8751 + (64054 + (-37489)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9578, \"b\": -8751, \"c\": 64054, \"d\": -37489}", "seed": "3436609276783118040", "semantic_fingerprint": "sha256:6ff4d10bcbc86920072266992ef562aeed57cd05ecece570d2af04310af33b60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005715", "prompt": "What value of x satisfies 33(x - 8061) = -23(x - 4995)?", "solution_steps": ["Expand: 33x - 266013 = -23(x - 4995)", "Expand: 33x - 266013 = -23x + 114885", "Add 23x to both sides: 56x - 266013 = 114885", "Add 266013 to both sides: 56x = 380898", "Divide both sides by 56: x = 27207/4"], "final_answer": "27207/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x - 8061) = -23(x - 4995)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 8061, \"c\": -23, \"d\": 4995}", "seed": "2387977921400967814", "semantic_fingerprint": "sha256:89e973c37befae345e35ba350a7e76c461be5a3b612592d80bf3e6de2f9e99b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005716", "prompt": "What value of x satisfies 29x - 6803 = x - 7513?", "solution_steps": ["Subtract x from both sides: 28x - 6803 = -7513", "Add 6803 to both sides: 28x = -710", "Divide both sides by 28: x = -355/14"], "final_answer": "-355/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "29x - 6803 = x - 7513", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 6803, \"c\": 7513}", "seed": "14709429963171309158", "semantic_fingerprint": "sha256:97afe98aa13052d98240b9dedb6f105378387ad3ffe5a99ee42bca12fc5bb125", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005717", "prompt": "Solve for x: -24(x - 3499) = -31(x - 3323) - 20059", "solution_steps": ["Expand: -24x + 83976 = -31(x - 3323) - 20059", "Expand: -24x + 83976 = -31x + 103013 - 20059", "Combine constants: -24x + 83976 = -31x + 82954", "Add 31x to both sides: 7x + 83976 = 82954", "Subtract 83976 from both sides: 7x = -1022", "Divide both sides by 7: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "-24(x - 3499) = -31(x - 3323) - 20059", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 3499, \"c\": -31, \"d\": 3323, \"f\": -20059, \"x\": -146}", "seed": "6127227962767327941", "semantic_fingerprint": "sha256:3ae8d9cb61d5ad1bbe0cec99f498176ab035b6a9381c311d6668ed9fe6abd130", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005718", "prompt": "Solve the equation x = 39x - 3534 for x.", "solution_steps": ["Subtract 39x from both sides: -38x = -3534", "Divide both sides by -38: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 39x - 3534", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39, \"c\": -3534, \"x\": 93}", "seed": "10802738333325325209", "semantic_fingerprint": "sha256:296fecf9085dfe6b8433dcfc43eb3f1b203ceb7cb2b10ff355f3ba2fd2f0b583", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005719", "prompt": "Solve for x: 14(x - 2460) - 16416 = -22x - 54132", "solution_steps": ["Expand: 14x - 34440 - 16416 = -22x - 54132", "Combine constants: 14x - 50856 = -22x - 54132", "Add 22x to both sides: 36x - 50856 = -54132", "Add 50856 to both sides: 36x = -3276", "Divide both sides by 36: x = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 2460) - 16416 = -22x - 54132", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2460, \"c\": 16416, \"d\": -22, \"f\": -54132, \"x\": -91}", "seed": "2998699859369272709", "semantic_fingerprint": "sha256:ad73d26f6e7cbcc0e0ac7b6c9bb60b37adadbc41f278ce2d51bf8352684a605e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005720", "prompt": "Evaluate: 34414 + 2062 - (-73917)", "solution_steps": ["Add: 34414 + 2062 = 36476", "Subtract: 36476 - (-73917) = 110393"], "final_answer": "110393", "answer_type": "integer", "kind": "expression", "math_text": "34414 + 2062 - (-73917)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34414, \"b\": 2062, \"c\": -73917}", "seed": "2080968521057439990", "semantic_fingerprint": "sha256:b3730b798e745d7eef6aba86f79c8bd6efff2230b60bc65bc21fea10fc46891f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005721", "prompt": "What is -18752 / (-1701)?", "solution_steps": ["Divide: -18752 / (-1701) = 18752/1701"], "final_answer": "18752/1701", "answer_type": "rational", "kind": "expression", "math_text": "-18752 / (-1701)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18752, \"b\": -1701}", "seed": "9681465750644621880", "semantic_fingerprint": "sha256:dac3f0f1bf717855cab956bd2c9e67971740594f6eba718069a51cf5cf0c6e7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005722", "prompt": "What is (-3514 + 9000) * (-2765 + (-4992) + 7684)?", "solution_steps": ["Add: -3514 + 9000 = 5486", "Add: -2765 + (-4992) = -7757", "Add: -7757 + 7684 = -73", "Multiply: 5486 * (-73) = -400478"], "final_answer": "-400478", "answer_type": "integer", "kind": "expression", "math_text": "(-3514 + 9000) * (-2765 + (-4992) + 7684)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -3514, \"b\": 9000, \"c\": -2765, \"d\": -4992, \"e\": 7684}", "seed": "9956306628965954722", "semantic_fingerprint": "sha256:6fefc0f5b98572477e2ce284ea21d2dbe36699e28689482ab568eef5a5fae688", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005723", "prompt": "What is 40043 - (-3709) - (-4851) / (1054 / 56366)?", "solution_steps": ["Subtract: 40043 - (-3709) = 43752", "Divide: 1054 / 56366 = 527/28183", "Divide: -4851 / (527/28183) = -136715733/527", "Subtract: 43752 - (-136715733/527) = 159773037/527"], "final_answer": "159773037/527", "answer_type": "rational", "kind": "expression", "math_text": "40043 - (-3709) - (-4851) / (1054 / 56366)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40043, \"b\": -3709, \"c\": -4851, \"d\": 1054, \"e\": 56366}", "seed": "17117123422999147279", "semantic_fingerprint": "sha256:14678c50707a0ed1212dda664f2186aa294205c79316c92a61be61ebb99f5eab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005724", "prompt": "Evaluate: -3080 / (-7864 / (-30553))", "solution_steps": ["Divide: -7864 / (-30553) = 7864/30553", "Divide: -3080 / (7864/30553) = -11762905/983"], "final_answer": "-11762905/983", "answer_type": "rational", "kind": "expression", "math_text": "-3080 / (-7864 / (-30553))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3080, \"b\": -7864, \"c\": -30553}", "seed": "12755992924542336890", "semantic_fingerprint": "sha256:de3a8951df6d2d467abef79d4447c333db4b00d9be2b5403139dc3f41266c578", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005725", "prompt": "Evaluate: (-77898 + (-2588)) * (-80774 / (-5327))", "solution_steps": ["Add: -77898 + (-2588) = -80486", "Divide: -80774 / (-5327) = 80774/5327", "Multiply: -80486 * (80774/5327) = -928739452/761"], "final_answer": "-928739452/761", "answer_type": "rational", "kind": "expression", "math_text": "(-77898 + (-2588)) * (-80774 / (-5327))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -77898, \"b\": -2588, \"c\": -80774, \"d\": -5327}", "seed": "12406546694812914331", "semantic_fingerprint": "sha256:dd715aa1b2923ae263cef790d1720eaaf625121eb6c9d5e49670dd5ed173a6ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005726", "prompt": "Evaluate: 8845 + (-2335) * (-1064)", "solution_steps": ["Multiply: -2335 * (-1064) = 2484440", "Add: 8845 + 2484440 = 2493285"], "final_answer": "2493285", "answer_type": "integer", "kind": "expression", "math_text": "8845 + (-2335) * (-1064)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8845, \"b\": -2335, \"c\": -1064}", "seed": "757701711243907556", "semantic_fingerprint": "sha256:f8647f9de83d7eb0452bc07a511a2f233f34f909ef873c23b13cc70b8b33985f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005727", "prompt": "Evaluate: 81886 / 9380 - 3520", "solution_steps": ["Divide: 81886 / 9380 = 5849/670", "Subtract: 5849/670 - 3520 = -2352551/670"], "final_answer": "-2352551/670", "answer_type": "rational", "kind": "expression", "math_text": "81886 / 9380 - 3520", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 81886, \"b\": 9380, \"c\": 3520}", "seed": "16670889956273711079", "semantic_fingerprint": "sha256:371c94db44d93a3ddf252f725da3b1997df4d30789d14d1cecddfb0a4ad82aff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005728", "prompt": "Evaluate: 2988 + 5415 - (-5913)", "solution_steps": ["Add: 2988 + 5415 = 8403", "Subtract: 8403 - (-5913) = 14316"], "final_answer": "14316", "answer_type": "integer", "kind": "expression", "math_text": "2988 + 5415 - (-5913)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2988, \"b\": 5415, \"c\": -5913}", "seed": "12877951821094229912", "semantic_fingerprint": "sha256:16764d586a3ee15c43d24de7f2bc48a0d6efab00d40a6589966feadf41e0d113", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005729", "prompt": "Compute: (-2620 - 5508) * (-73774)", "solution_steps": ["Subtract: -2620 - 5508 = -8128", "Multiply: -8128 * (-73774) = 599635072"], "final_answer": "599635072", "answer_type": "integer", "kind": "expression", "math_text": "(-2620 - 5508) * (-73774)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2620, \"b\": 5508, \"c\": -73774}", "seed": "3558593360471266148", "semantic_fingerprint": "sha256:ffcfd8e9a6f9660f9818bf0d3a54029fa8fa812a614357ce09aa2e98dc0c61c2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005730", "prompt": "Calculate: (2421 - 3577) / (-1455 - (-8068)) / (-9968) + (-44317)", "solution_steps": ["Subtract: 2421 - 3577 = -1156", "Subtract: -1455 - (-8068) = 6613", "Divide: -1156 / 6613 = -68/389", "Divide: (-68/389) / (-9968) = 17/969388", "Add: 17/969388 + (-44317) = -42960367979/969388"], "final_answer": "-42960367979/969388", "answer_type": "rational", "kind": "expression", "math_text": "(2421 - 3577) / (-1455 - (-8068)) / (-9968) + (-44317)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ (- n n) (- n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2421, \"b\": 3577, \"c\": -1455, \"d\": -8068, \"e\": -9968, \"f\": -44317}", "seed": "420347840832832192", "semantic_fingerprint": "sha256:eed1cf511fa3feeed91c3432379c01daa0cd3304437cf85bf55f5a94b72ef7d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005731", "prompt": "Compute: 15178 * 34873 + (-7241 / 3056 * (-6692) + (-3651))", "solution_steps": ["Multiply: 15178 * 34873 = 529302394", "Divide: -7241 / 3056 = -7241/3056", "Multiply: (-7241/3056) * (-6692) = 12114193/764", "Add: 12114193/764 + (-3651) = 9324829/764", "Add: 529302394 + 9324829/764 = 404396353845/764"], "final_answer": "404396353845/764", "answer_type": "rational", "kind": "expression", "math_text": "15178 * 34873 + (-7241 / 3056 * (-6692) + (-3651))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (* (/ n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15178, \"b\": 34873, \"c\": -7241, \"d\": 3056, \"e\": -6692, \"f\": -3651}", "seed": "17086461646191170919", "semantic_fingerprint": "sha256:9236dbe0a48a25205cbde0a66b08ff46061a58e7b273fe5a70560e5cd1e9006e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005732", "prompt": "Compute: 1551 + (-7095) * 9520 - 4194 * 17309", "solution_steps": ["Multiply: -7095 * 9520 = -67544400", "Add: 1551 + (-67544400) = -67542849", "Multiply: 4194 * 17309 = 72593946", "Subtract: -67542849 - 72593946 = -140136795"], "final_answer": "-140136795", "answer_type": "integer", "kind": "expression", "math_text": "1551 + (-7095) * 9520 - 4194 * 17309", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1551, \"b\": -7095, \"c\": 9520, \"d\": 4194, \"e\": 17309}", "seed": "13703923831708737166", "semantic_fingerprint": "sha256:2f7df5186c8787470beadfb93b238444080fdb0ed428a9c9684a1743c774656f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005733", "prompt": "Compute: (-8810 - (-39013)) / (1807 + 4031)", "solution_steps": ["Subtract: -8810 - (-39013) = 30203", "Add: 1807 + 4031 = 5838", "Divide: 30203 / 5838 = 30203/5838"], "final_answer": "30203/5838", "answer_type": "rational", "kind": "expression", "math_text": "(-8810 - (-39013)) / (1807 + 4031)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8810, \"b\": -39013, \"c\": 1807, \"d\": 4031}", "seed": "885586533617084522", "semantic_fingerprint": "sha256:37b1850b5dc42bcdc717b6013bcee195f516623bf6abda2183137178cc586c51", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005734", "prompt": "Solve the equation x - 1200 = 13x for x.", "solution_steps": ["Subtract 13x from both sides: -12x - 1200 = 0", "Add 1200 to both sides: -12x = 1200", "Divide both sides by -12: x = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1200 = 13x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"c\": -1200, \"x\": -100}", "seed": "11382310226751106257", "semantic_fingerprint": "sha256:24a2afe12d2db507db26396be3c78aa838c1b5511370ba3e3633f7d02393d6d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005735", "prompt": "Evaluate: -32700 * ((-7907 - (-3571)) / 2096)", "solution_steps": ["Subtract: -7907 - (-3571) = -4336", "Divide: -4336 / 2096 = -271/131", "Multiply: -32700 * (-271/131) = 8861700/131"], "final_answer": "8861700/131", "answer_type": "rational", "kind": "expression", "math_text": "-32700 * ((-7907 - (-3571)) / 2096)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32700, \"b\": -7907, \"c\": -3571, \"d\": 2096}", "seed": "10145172722090901298", "semantic_fingerprint": "sha256:8e3e567f435e21caf2f79723a12010f507fd38b6d77ec8f2953f03aeb07127da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005736", "prompt": "Evaluate: -4984 / (-8269)", "solution_steps": ["Divide: -4984 / (-8269) = 4984/8269"], "final_answer": "4984/8269", "answer_type": "rational", "kind": "expression", "math_text": "-4984 / (-8269)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4984, \"b\": -8269}", "seed": "1204784996668516133", "semantic_fingerprint": "sha256:14029914a837e3fc58e531b5fdc78edbacb4cfa7473f6d8f09f25ac1d8ca4bc7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005737", "prompt": "Calculate: 4401 / 13964 + 92065", "solution_steps": ["Divide: 4401 / 13964 = 4401/13964", "Add: 4401/13964 + 92065 = 1285600061/13964"], "final_answer": "1285600061/13964", "answer_type": "rational", "kind": "expression", "math_text": "4401 / 13964 + 92065", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4401, \"b\": 13964, \"c\": 92065}", "seed": "7469667624979895083", "semantic_fingerprint": "sha256:2e9f40450bd0469da7f6ec74232dcf221332097fc444020dc24afa3f29cf4423", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005738", "prompt": "What is 62294 / (8146 - (-5129))?", "solution_steps": ["Subtract: 8146 - (-5129) = 13275", "Divide: 62294 / 13275 = 62294/13275"], "final_answer": "62294/13275", "answer_type": "rational", "kind": "expression", "math_text": "62294 / (8146 - (-5129))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 62294, \"b\": 8146, \"c\": -5129}", "seed": "10540404485090628958", "semantic_fingerprint": "sha256:a1c53993f4ebba7bbdd75142784321b99da1ff4df8b2beaaedd848aedf11564b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005739", "prompt": "Solve the equation x - 2772 = -2707 for x.", "solution_steps": ["Add 2772 to both sides: x = 65"], "final_answer": "65", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2772 = -2707", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2772, \"c\": -2707, \"x\": 65}", "seed": "727888560527959900", "semantic_fingerprint": "sha256:897da331941222dbaac304144cc275a8cfa605a87ec9e6fa764fef2810dd28fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005740", "prompt": "Solve for x: x - 4342 = -25x", "solution_steps": ["Add 25x to both sides: 26x - 4342 = 0", "Add 4342 to both sides: 26x = 4342", "Divide both sides by 26: x = 167"], "final_answer": "167", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4342 = -25x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25, \"c\": -4342, \"x\": 167}", "seed": "10855902151332067818", "semantic_fingerprint": "sha256:523291cabc1ac313269a34789f475ab2cbb2e66842de501a11c1aaf737b3a3b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005741", "prompt": "Compute: -8527 * (1051 - 9929)", "solution_steps": ["Subtract: 1051 - 9929 = -8878", "Multiply: -8527 * (-8878) = 75702706"], "final_answer": "75702706", "answer_type": "integer", "kind": "expression", "math_text": "-8527 * (1051 - 9929)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8527, \"b\": 1051, \"c\": 9929}", "seed": "13876258073203956566", "semantic_fingerprint": "sha256:eed194a1afbb347e887fa57205338fcc26186f0f8cbf906b45e1e6abe7c80a20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005742", "prompt": "Evaluate: -2791 + (-65839) - 6619 / 8983", "solution_steps": ["Add: -2791 + (-65839) = -68630", "Divide: 6619 / 8983 = 6619/8983", "Subtract: -68630 - 6619/8983 = -616509909/8983"], "final_answer": "-616509909/8983", "answer_type": "rational", "kind": "expression", "math_text": "-2791 + (-65839) - 6619 / 8983", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2791, \"b\": -65839, \"c\": 6619, \"d\": 8983}", "seed": "14796105776053929962", "semantic_fingerprint": "sha256:1c8898e4217e499f12956d47bf39c3f8afbfb10137e1f98ac5121cef26c87284", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005743", "prompt": "Evaluate: -98362 - (-3626) + 3225", "solution_steps": ["Subtract: -98362 - (-3626) = -94736", "Add: -94736 + 3225 = -91511"], "final_answer": "-91511", "answer_type": "integer", "kind": "expression", "math_text": "-98362 - (-3626) + 3225", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -98362, \"b\": -3626, \"c\": 3225}", "seed": "9287582918694015949", "semantic_fingerprint": "sha256:32007ae65e22578a28c86716a67ef29093f5a510d2b86c070bcf2970b3f45c6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005744", "prompt": "Calculate: (35097 + (3531 - 5729)) * 54071", "solution_steps": ["Subtract: 3531 - 5729 = -2198", "Add: 35097 + (-2198) = 32899", "Multiply: 32899 * 54071 = 1778881829"], "final_answer": "1778881829", "answer_type": "integer", "kind": "expression", "math_text": "(35097 + (3531 - 5729)) * 54071", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35097, \"b\": 3531, \"c\": 5729, \"d\": 54071}", "seed": "8748593275858323525", "semantic_fingerprint": "sha256:ca1690334ee3b2d543333eb57b89388ac834c49862203d6eee8de4e0b21e7326", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005745", "prompt": "Find x: -19x - 6497 = 13(x - 7352) + 3364", "solution_steps": ["Expand: -19x - 6497 = 13x - 95576 + 3364", "Combine constants: -19x - 6497 = 13x - 92212", "Subtract 13x from both sides: -32x - 6497 = -92212", "Add 6497 to both sides: -32x = -85715", "Divide both sides by -32: x = 85715/32"], "final_answer": "85715/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x - 6497 = 13(x - 7352) + 3364", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 6497, \"c\": 13, \"d\": 7352, \"e\": 3364}", "seed": "16755542985833131750", "semantic_fingerprint": "sha256:8e06d9d3948c39d2f402c3fc75cbeff22b66350d7328d0d27c23c51de747440f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005746", "prompt": "Solve for x: 23(x + 68705) - 2116 = -16(x - 4465)", "solution_steps": ["Expand: 23x + 1580215 - 2116 = -16(x - 4465)", "Expand: 23x + 1580215 - 2116 = -16x + 71440", "Combine constants: 23x + 1578099 = -16x + 71440", "Add 16x to both sides: 39x + 1578099 = 71440", "Subtract 1578099 from both sides: 39x = -1506659", "Divide both sides by 39: x = -1506659/39"], "final_answer": "-1506659/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x + 68705) - 2116 = -16(x - 4465)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 68705, \"c\": 2116, \"d\": -16, \"e\": 4465}", "seed": "1766923640306654645", "semantic_fingerprint": "sha256:92607dee32da65baf70eaa9715f72402cb9f8161a33e08cc66237e7045d12a38", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005747", "prompt": "Find x: -23(x + 9385) = x", "solution_steps": ["Expand: -23x - 215855 = x", "Subtract x from both sides: -24x - 215855 = 0", "Add 215855 to both sides: -24x = 215855", "Divide both sides by -24: x = -215855/24"], "final_answer": "-215855/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 9385) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 9385}", "seed": "18408998099475521640", "semantic_fingerprint": "sha256:5ded37d1a5a08dc24ed81dce1be581c20b8851e82d4f184726942b9896cd42d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005748", "prompt": "Evaluate: 8530 + (9927 - (-3259)) / 60303 - (-1160)", "solution_steps": ["Subtract: 9927 - (-3259) = 13186", "Divide: 13186 / 60303 = 13186/60303", "Add: 8530 + 13186/60303 = 514397776/60303", "Subtract: 514397776/60303 - (-1160) = 584349256/60303"], "final_answer": "584349256/60303", "answer_type": "rational", "kind": "expression", "math_text": "8530 + (9927 - (-3259)) / 60303 - (-1160)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8530, \"b\": 9927, \"c\": -3259, \"d\": 60303, \"e\": -1160}", "seed": "2242047218818787323", "semantic_fingerprint": "sha256:2fc38d4b5fe79f5d2574300621cca10b96fd2f32671894164520f477facfc24d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005749", "prompt": "What value of x satisfies x + 6886 = 35(x + 22840)?", "solution_steps": ["Expand: x + 6886 = 35x + 799400", "Subtract 35x from both sides: -34x + 6886 = 799400", "Subtract 6886 from both sides: -34x = 792514", "Divide both sides by -34: x = -396257/17"], "final_answer": "-396257/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6886 = 35(x + 22840)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6886, \"b\": 35, \"c\": 22840}", "seed": "13542088530103521724", "semantic_fingerprint": "sha256:8468841ae88497c7000f2c92c942113556da054e3c665964498158b786e44221", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005750", "prompt": "Evaluate: -4706 * (-2995)", "solution_steps": ["Multiply: -4706 * (-2995) = 14094470"], "final_answer": "14094470", "answer_type": "integer", "kind": "expression", "math_text": "-4706 * (-2995)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4706, \"b\": -2995}", "seed": "11837325339385784258", "semantic_fingerprint": "sha256:0b6cadb20b36896ae36486bab102ad092add155ce52aadd34b492176e1e54745", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005751", "prompt": "Compute: -1601 + (-1502)", "solution_steps": ["Add: -1601 + (-1502) = -3103"], "final_answer": "-3103", "answer_type": "integer", "kind": "expression", "math_text": "-1601 + (-1502)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1601, \"b\": -1502}", "seed": "9542615476851959732", "semantic_fingerprint": "sha256:277f10c9ee4204416a742d83860e8e8b0cc870a143d70d9339fcb9041c3725eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005752", "prompt": "What is -20109 * (-6154) + (-3473)?", "solution_steps": ["Multiply: -20109 * (-6154) = 123750786", "Add: 123750786 + (-3473) = 123747313"], "final_answer": "123747313", "answer_type": "integer", "kind": "expression", "math_text": "-20109 * (-6154) + (-3473)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20109, \"b\": -6154, \"c\": -3473}", "seed": "11605970847321392697", "semantic_fingerprint": "sha256:df715a4d108cb77efad0a4640ef89a7268d7f1663ab81b734d1a2aa50fe14361", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005753", "prompt": "Evaluate: (-94888 - (-64760)) / (-6476) + 78911", "solution_steps": ["Subtract: -94888 - (-64760) = -30128", "Divide: -30128 / (-6476) = 7532/1619", "Add: 7532/1619 + 78911 = 127764441/1619"], "final_answer": "127764441/1619", "answer_type": "rational", "kind": "expression", "math_text": "(-94888 - (-64760)) / (-6476) + 78911", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -94888, \"b\": -64760, \"c\": -6476, \"d\": 78911}", "seed": "5519964937999972275", "semantic_fingerprint": "sha256:0a853757fc1da64459216f0d2350db2df2013c772c2f6789297c1437c74b5bf5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005754", "prompt": "What is -2367 - (4786 - (-9267)) + (-30165)?", "solution_steps": ["Subtract: 4786 - (-9267) = 14053", "Subtract: -2367 - 14053 = -16420", "Add: -16420 + (-30165) = -46585"], "final_answer": "-46585", "answer_type": "integer", "kind": "expression", "math_text": "-2367 - (4786 - (-9267)) + (-30165)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2367, \"b\": 4786, \"c\": -9267, \"d\": -30165}", "seed": "18186517820478458379", "semantic_fingerprint": "sha256:504d999d7aa6aded8c66d8f771e3fb3e57180e671da3d1b65b08fd86b69ca4bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005755", "prompt": "Evaluate: 9371 - (-4685) * (-18096)", "solution_steps": ["Multiply: -4685 * (-18096) = 84779760", "Subtract: 9371 - 84779760 = -84770389"], "final_answer": "-84770389", "answer_type": "integer", "kind": "expression", "math_text": "9371 - (-4685) * (-18096)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9371, \"b\": -4685, \"c\": -18096}", "seed": "3547088222375948621", "semantic_fingerprint": "sha256:3da272b32fb70e267177e62b9c8edb87dc6011edb36e91f2765f0e88a8e40742", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005756", "prompt": "Evaluate: 9119 * 73517", "solution_steps": ["Multiply: 9119 * 73517 = 670401523"], "final_answer": "670401523", "answer_type": "integer", "kind": "expression", "math_text": "9119 * 73517", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9119, \"b\": 73517}", "seed": "6732465551452398909", "semantic_fingerprint": "sha256:49b9f17515c0af2417781b9da3b4ad0a14db8fcaff0e0039ddff44fa7d0874c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005757", "prompt": "Evaluate: -14197 + (-61843) / (81707 + (-1226)) * (-5314)", "solution_steps": ["Add: 81707 + (-1226) = 80481", "Divide: -61843 / 80481 = -61843/80481", "Multiply: (-61843/80481) * (-5314) = 328633702/80481", "Add: -14197 + 328633702/80481 = -813955055/80481"], "final_answer": "-813955055/80481", "answer_type": "rational", "kind": "expression", "math_text": "-14197 + (-61843) / (81707 + (-1226)) * (-5314)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14197, \"b\": -61843, \"c\": 81707, \"d\": -1226, \"e\": -5314}", "seed": "5625233147033559317", "semantic_fingerprint": "sha256:ec50639f7b91bff808d9453ffea9515c29839f7ccd3669b5363e995dc1d65026", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005758", "prompt": "What is -1265 + (-8269)?", "solution_steps": ["Add: -1265 + (-8269) = -9534"], "final_answer": "-9534", "answer_type": "integer", "kind": "expression", "math_text": "-1265 + (-8269)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1265, \"b\": -8269}", "seed": "12060652664670614447", "semantic_fingerprint": "sha256:bada12c4554b1dcedce56c7d54b84af47f3855280a7c96a8146f7a5201ab0e07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005759", "prompt": "Solve the equation x + 71562 = -27x for x.", "solution_steps": ["Add 27x to both sides: 28x + 71562 = 0", "Subtract 71562 from both sides: 28x = -71562", "Divide both sides by 28: x = -35781/14"], "final_answer": "-35781/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 71562 = -27x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 71562, \"b\": -27}", "seed": "4337294294317080404", "semantic_fingerprint": "sha256:3b92290408fac8a627016d9c7eaa98ecba9e3ed16c4f1b542a6c27cd7cc41c74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005760", "prompt": "Calculate: 4931 + 7214", "solution_steps": ["Add: 4931 + 7214 = 12145"], "final_answer": "12145", "answer_type": "integer", "kind": "expression", "math_text": "4931 + 7214", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4931, \"b\": 7214}", "seed": "4438778654612325280", "semantic_fingerprint": "sha256:8228def69a9e4b639b27d5859ee31dc60f2da9fea1feaae0a6d4281ae5bedeb4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005761", "prompt": "Solve for x: x + 6162 = 29x - 6263", "solution_steps": ["Subtract 29x from both sides: -28x + 6162 = -6263", "Subtract 6162 from both sides: -28x = -12425", "Divide both sides by -28: x = 1775/4"], "final_answer": "1775/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6162 = 29x - 6263", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6162, \"b\": 29, \"c\": 6263}", "seed": "6709489136406409358", "semantic_fingerprint": "sha256:4c55c5f057d731f81f9ad86b6ae7e9b8cd0599a10e5871b8a5917a578f22fc83", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005762", "prompt": "Compute: 3375 + (-3370) + 89847", "solution_steps": ["Add: 3375 + (-3370) = 5", "Add: 5 + 89847 = 89852"], "final_answer": "89852", "answer_type": "integer", "kind": "expression", "math_text": "3375 + (-3370) + 89847", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3375, \"b\": -3370, \"c\": 89847}", "seed": "4372410856421521869", "semantic_fingerprint": "sha256:a0fb23f028730e48dd7d87a2f599fc9a0f416b525869a5ef7bc8178ee0abea43", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005763", "prompt": "Solve the equation 39(x + 44040) + 3825 = -27(x + 9714) for x.", "solution_steps": ["Expand: 39x + 1717560 + 3825 = -27(x + 9714)", "Expand: 39x + 1717560 + 3825 = -27x - 262278", "Combine constants: 39x + 1721385 = -27x - 262278", "Add 27x to both sides: 66x + 1721385 = -262278", "Subtract 1721385 from both sides: 66x = -1983663", "Divide both sides by 66: x = -60111/2"], "final_answer": "-60111/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 44040) + 3825 = -27(x + 9714)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 44040, \"c\": 3825, \"d\": -27, \"e\": 9714}", "seed": "15524055008874321572", "semantic_fingerprint": "sha256:8266d0fe109da169329b10d2725de61585e676d939ae255680cfbcfa0e9c606b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005764", "prompt": "Evaluate: 1315 / (-2686)", "solution_steps": ["Divide: 1315 / (-2686) = -1315/2686"], "final_answer": "-1315/2686", "answer_type": "rational", "kind": "expression", "math_text": "1315 / (-2686)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1315, \"b\": -2686}", "seed": "2999416313110389887", "semantic_fingerprint": "sha256:05a74341fffc49883d07925c9c6f1b030037463f342320aef70113f9dc5e7295", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005765", "prompt": "Find x: 14x = 37(x + 9939)", "solution_steps": ["Expand: 14x = 37x + 367743", "Subtract 37x from both sides: -23x = 367743", "Divide both sides by -23: x = -367743/23"], "final_answer": "-367743/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x = 37(x + 9939)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 37, \"c\": 9939}", "seed": "148015561078459234", "semantic_fingerprint": "sha256:44099e10e342a8e3fcb6846a976b1096dca2cddadec23831225daac554161a9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005766", "prompt": "Compute: 69250 / (19753 - 5994)", "solution_steps": ["Subtract: 19753 - 5994 = 13759", "Divide: 69250 / 13759 = 69250/13759"], "final_answer": "69250/13759", "answer_type": "rational", "kind": "expression", "math_text": "69250 / (19753 - 5994)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69250, \"b\": 19753, \"c\": 5994}", "seed": "10333975308613155682", "semantic_fingerprint": "sha256:e71feb80a19143d6cde46c766dcdb2d8b0929424cf130f9c5398895586144093", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005767", "prompt": "Compute: -62607 + 6535 + 33223 / (-89934)", "solution_steps": ["Add: -62607 + 6535 = -56072", "Divide: 33223 / (-89934) = -33223/89934", "Add: -56072 + (-33223/89934) = -5042812471/89934"], "final_answer": "-5042812471/89934", "answer_type": "rational", "kind": "expression", "math_text": "-62607 + 6535 + 33223 / (-89934)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -62607, \"b\": 6535, \"c\": 33223, \"d\": -89934}", "seed": "17337824060858312878", "semantic_fingerprint": "sha256:dfafa256679d4c5bf083939b8f755b693c5ac0de019d796f93e62674dece68f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005768", "prompt": "Compute: -8466 - (-1291 - 4278)", "solution_steps": ["Subtract: -1291 - 4278 = -5569", "Subtract: -8466 - (-5569) = -2897"], "final_answer": "-2897", "answer_type": "integer", "kind": "expression", "math_text": "-8466 - (-1291 - 4278)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8466, \"b\": -1291, \"c\": 4278}", "seed": "16648384167152407178", "semantic_fingerprint": "sha256:5e9efaeb5799a5860c1288700d58700f84cf22ac0991063d0b9c517d4cf00de1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005769", "prompt": "Solve the equation 34(x + 7506) = 35x for x.", "solution_steps": ["Expand: 34x + 255204 = 35x", "Subtract 35x from both sides: -x + 255204 = 0", "Subtract 255204 from both sides: -x = -255204", "Divide both sides by -1: x = 255204"], "final_answer": "255204", "answer_type": "integer", "kind": "linear_equation", "math_text": "34(x + 7506) = 35x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 7506, \"c\": 35}", "seed": "13003461407728770855", "semantic_fingerprint": "sha256:b3c541333fd41b0343d750b2235e340ac9f5ac9300529d37491ddb0448ff5c09", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005770", "prompt": "Find x: 40(x + 25786) - 37194 = 23(x - 8837) + 10313", "solution_steps": ["Expand: 40x + 1031440 - 37194 = 23(x - 8837) + 10313", "Expand: 40x + 1031440 - 37194 = 23x - 203251 + 10313", "Combine constants: 40x + 994246 = 23x - 203251 + 10313", "Combine constants: 40x + 994246 = 23x - 192938", "Subtract 23x from both sides: 17x + 994246 = -192938", "Subtract 994246 from both sides: 17x = -1187184", "Divide both sides by 17: x = -1187184/17"], "final_answer": "-1187184/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 25786) - 37194 = 23(x - 8837) + 10313", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 25786, \"c\": 37194, \"d\": 23, \"e\": 8837, \"f\": 10313}", "seed": "16384863298077217663", "semantic_fingerprint": "sha256:300302565939e79f20c5ec6bfd4a577b43540ab3ed8623920b1c9fb325ebb982", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005771", "prompt": "Calculate: (71235 + (-9305)) / (-5785)", "solution_steps": ["Add: 71235 + (-9305) = 61930", "Divide: 61930 / (-5785) = -12386/1157"], "final_answer": "-12386/1157", "answer_type": "rational", "kind": "expression", "math_text": "(71235 + (-9305)) / (-5785)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 71235, \"b\": -9305, \"c\": -5785}", "seed": "8650378541194933134", "semantic_fingerprint": "sha256:6732faefea335e2906985138cda9f8e695d883bdf0b8713752701ac23c3878a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005772", "prompt": "Find x: 13(x + 73948) + 6664 = x - 57072", "solution_steps": ["Expand: 13x + 961324 + 6664 = x - 57072", "Combine constants: 13x + 967988 = x - 57072", "Subtract x from both sides: 12x + 967988 = -57072", "Subtract 967988 from both sides: 12x = -1025060", "Divide both sides by 12: x = -256265/3"], "final_answer": "-256265/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 73948) + 6664 = x - 57072", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 73948, \"c\": 6664, \"d\": 57072}", "seed": "10685871640062852735", "semantic_fingerprint": "sha256:52b8b2d3027c8d50cb9f5c16c750c61d1ab6971d1d38c37821ae40ca017961b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005773", "prompt": "What is -50100 + (-83216) * (-94271) - (-3112)?", "solution_steps": ["Multiply: -83216 * (-94271) = 7844855536", "Add: -50100 + 7844855536 = 7844805436", "Subtract: 7844805436 - (-3112) = 7844808548"], "final_answer": "7844808548", "answer_type": "integer", "kind": "expression", "math_text": "-50100 + (-83216) * (-94271) - (-3112)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -50100, \"b\": -83216, \"c\": -94271, \"d\": -3112}", "seed": "16434432855417217235", "semantic_fingerprint": "sha256:bba9fbc7dae36d45e2931ff7b9686d11430eaabcc35c9f3bbc7625f4b6aca08d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005774", "prompt": "Solve the equation -29(x - 5835) + 7070 = 36(x + 3774) + 46466 for x.", "solution_steps": ["Expand: -29x + 169215 + 7070 = 36(x + 3774) + 46466", "Expand: -29x + 169215 + 7070 = 36x + 135864 + 46466", "Combine constants: -29x + 176285 = 36x + 135864 + 46466", "Combine constants: -29x + 176285 = 36x + 182330", "Subtract 36x from both sides: -65x + 176285 = 182330", "Subtract 176285 from both sides: -65x = 6045", "Divide both sides by -65: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "-29(x - 5835) + 7070 = 36(x + 3774) + 46466", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 5835, \"c\": 7070, \"d\": 36, \"e\": 3774, \"g\": 46466, \"x\": -93}", "seed": "5541267677904435727", "semantic_fingerprint": "sha256:aadb7f65c2a78de7dcee741fce739e38a56cbc8079b881d0b202834fa0b26589", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005775", "prompt": "What value of x satisfies x + 1817 = -22x?", "solution_steps": ["Add 22x to both sides: 23x + 1817 = 0", "Subtract 1817 from both sides: 23x = -1817", "Divide both sides by 23: x = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1817 = -22x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22, \"c\": 1817, \"x\": -79}", "seed": "4181897240855886770", "semantic_fingerprint": "sha256:f713595d5f6843fe93fcdaaa5c86129977081c67f572e0d5eb499143c45b97cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005776", "prompt": "What is -2981 / (-9220 - (-28364))?", "solution_steps": ["Subtract: -9220 - (-28364) = 19144", "Divide: -2981 / 19144 = -2981/19144"], "final_answer": "-2981/19144", "answer_type": "rational", "kind": "expression", "math_text": "-2981 / (-9220 - (-28364))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2981, \"b\": -9220, \"c\": -28364}", "seed": "174372550144482518", "semantic_fingerprint": "sha256:0a08453e928ea4bdaac8b7e910253a26db845700805dff11f41c673f2d749626", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005777", "prompt": "Compute: 97335 / 38082", "solution_steps": ["Divide: 97335 / 38082 = 32445/12694"], "final_answer": "32445/12694", "answer_type": "rational", "kind": "expression", "math_text": "97335 / 38082", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 97335, \"b\": 38082}", "seed": "17067550727912959040", "semantic_fingerprint": "sha256:25e2c870444f2f62bb482919e2d8d3fde1c430751e6e579bd9b5b8401b6e0756", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005778", "prompt": "Compute: 58208 - 3173", "solution_steps": ["Subtract: 58208 - 3173 = 55035"], "final_answer": "55035", "answer_type": "integer", "kind": "expression", "math_text": "58208 - 3173", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 58208, \"b\": 3173}", "seed": "14368359566493616766", "semantic_fingerprint": "sha256:436458605957f5274a24d480043fb6be59370720231b832668b010bd433d4c9c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005779", "prompt": "Compute: -2279 * 6307 / (-2402)", "solution_steps": ["Multiply: -2279 * 6307 = -14373653", "Divide: -14373653 / (-2402) = 14373653/2402"], "final_answer": "14373653/2402", "answer_type": "rational", "kind": "expression", "math_text": "-2279 * 6307 / (-2402)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2279, \"b\": 6307, \"c\": -2402}", "seed": "18170368144359993885", "semantic_fingerprint": "sha256:6e82b35eb6be691f39b00c6faab6a2ed4d8cc6b4f04a6bda70363c345458fae7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005780", "prompt": "Compute: 3224 * (-84756)", "solution_steps": ["Multiply: 3224 * (-84756) = -273253344"], "final_answer": "-273253344", "answer_type": "integer", "kind": "expression", "math_text": "3224 * (-84756)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3224, \"b\": -84756}", "seed": "11699227525608413801", "semantic_fingerprint": "sha256:6421ede90f9cc60189be9a90d30a1d876424df7824e5f994cc49cb76bcb62217", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005781", "prompt": "Calculate: (73152 - (-46222 - 4619)) * 7532", "solution_steps": ["Subtract: -46222 - 4619 = -50841", "Subtract: 73152 - (-50841) = 123993", "Multiply: 123993 * 7532 = 933915276"], "final_answer": "933915276", "answer_type": "integer", "kind": "expression", "math_text": "(73152 - (-46222 - 4619)) * 7532", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 73152, \"b\": -46222, \"c\": 4619, \"d\": 7532}", "seed": "9857798872318655030", "semantic_fingerprint": "sha256:97e3ca9f0488ebd03a100f8cb214be5d899520eb8dd96b1c1d54043f015339a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005782", "prompt": "Evaluate: -2062 * (8768 + (1475 + (-79959)))", "solution_steps": ["Add: 1475 + (-79959) = -78484", "Add: 8768 + (-78484) = -69716", "Multiply: -2062 * (-69716) = 143754392"], "final_answer": "143754392", "answer_type": "integer", "kind": "expression", "math_text": "-2062 * (8768 + (1475 + (-79959)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2062, \"b\": 8768, \"c\": 1475, \"d\": -79959}", "seed": "18160526967522587874", "semantic_fingerprint": "sha256:b8f3fcffceacae594ade205d60e36866631ba65d6b93c83a6110fae8be2fc197", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005783", "prompt": "Evaluate: (-5817 + 1801) * (-1574)", "solution_steps": ["Add: -5817 + 1801 = -4016", "Multiply: -4016 * (-1574) = 6321184"], "final_answer": "6321184", "answer_type": "integer", "kind": "expression", "math_text": "(-5817 + 1801) * (-1574)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5817, \"b\": 1801, \"c\": -1574}", "seed": "9754426181247852474", "semantic_fingerprint": "sha256:cde7cc0dbeba2ad22d7b8bbcb458062fa2d1ff6e2a6a9baaa0a3e68fbb1d0ba2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005784", "prompt": "Solve the equation 28x + 2133 = x for x.", "solution_steps": ["Subtract x from both sides: 27x + 2133 = 0", "Subtract 2133 from both sides: 27x = -2133", "Divide both sides by 27: x = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 2133 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": 2133, \"x\": -79}", "seed": "11569475088006843107", "semantic_fingerprint": "sha256:16464ad57df01e2e34abf0a6c5cbb0d5bb37feb9b6924f71338732cec79ae57e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005785", "prompt": "Evaluate: -43243 / 43353 * (-8279)", "solution_steps": ["Divide: -43243 / 43353 = -43243/43353", "Multiply: (-43243/43353) * (-8279) = 358008797/43353"], "final_answer": "358008797/43353", "answer_type": "rational", "kind": "expression", "math_text": "-43243 / 43353 * (-8279)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43243, \"b\": 43353, \"c\": -8279}", "seed": "11653597033353408269", "semantic_fingerprint": "sha256:c60d6fd0be78a52b9945285debce48cce7557c452651d37ac7e5a5acd32763df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005786", "prompt": "Solve for x: 40x + 2808 = x", "solution_steps": ["Subtract x from both sides: 39x + 2808 = 0", "Subtract 2808 from both sides: 39x = -2808", "Divide both sides by 39: x = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x + 2808 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"c\": 2808, \"x\": -72}", "seed": "15486373557806261557", "semantic_fingerprint": "sha256:979ae5206f889554e20c1404d6770bedfa4a041ca4660863e4259087f59be036", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005787", "prompt": "Find x: 22(x - 71896) = 36x + 1047", "solution_steps": ["Expand: 22x - 1581712 = 36x + 1047", "Subtract 36x from both sides: -14x - 1581712 = 1047", "Add 1581712 to both sides: -14x = 1582759", "Divide both sides by -14: x = -1582759/14"], "final_answer": "-1582759/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 71896) = 36x + 1047", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 71896, \"c\": 36, \"d\": 1047}", "seed": "3629019073812360525", "semantic_fingerprint": "sha256:17af7e119050ec0a27d3bc19cce029704ee2767951cc6cd0535b59a5da80157d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005788", "prompt": "Find x: x + 69450 = 40x", "solution_steps": ["Subtract 40x from both sides: -39x + 69450 = 0", "Subtract 69450 from both sides: -39x = -69450", "Divide both sides by -39: x = 23150/13"], "final_answer": "23150/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 69450 = 40x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 69450, \"b\": 40}", "seed": "13905111280298252128", "semantic_fingerprint": "sha256:089fea4f5e869f29e5dd7390e7a5a21a212e71134deb790b5c0e93f4b827b0e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005789", "prompt": "Calculate: (5865 - 6824 - 90644) * (36923 / 8493) - (-51416)", "solution_steps": ["Subtract: 5865 - 6824 = -959", "Subtract: -959 - 90644 = -91603", "Divide: 36923 / 8493 = 36923/8493", "Multiply: -91603 * (36923/8493) = -3382257569/8493", "Subtract: -3382257569/8493 - (-51416) = -2945581481/8493"], "final_answer": "-2945581481/8493", "answer_type": "rational", "kind": "expression", "math_text": "(5865 - 6824 - 90644) * (36923 / 8493) - (-51416)", "variable": null, "family": "expression_5op", "shape": "(- (* (- (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5865, \"b\": 6824, \"c\": 90644, \"d\": 36923, \"e\": 8493, \"f\": -51416}", "seed": "12430434358587581776", "semantic_fingerprint": "sha256:9242031cd611aecb51415464e8dfd235ea0dd34a289b54bad7dc495cb15b83cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005790", "prompt": "What is -3473 - 76479 - (1391 + 6271)?", "solution_steps": ["Subtract: -3473 - 76479 = -79952", "Add: 1391 + 6271 = 7662", "Subtract: -79952 - 7662 = -87614"], "final_answer": "-87614", "answer_type": "integer", "kind": "expression", "math_text": "-3473 - 76479 - (1391 + 6271)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3473, \"b\": 76479, \"c\": 1391, \"d\": 6271}", "seed": "393053459980187463", "semantic_fingerprint": "sha256:e6f1096f033006bb06db0bc00f0cbb22abb775ce81e9a4cf030ba8f8f5861c1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005791", "prompt": "Compute: 7119 + (91868 + 52823 / (-3454) - 81457)", "solution_steps": ["Divide: 52823 / (-3454) = -52823/3454", "Add: 91868 + (-52823/3454) = 317259249/3454", "Subtract: 317259249/3454 - 81457 = 35906771/3454", "Add: 7119 + 35906771/3454 = 60495797/3454"], "final_answer": "60495797/3454", "answer_type": "rational", "kind": "expression", "math_text": "7119 + (91868 + 52823 / (-3454) - 81457)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n (/ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7119, \"b\": 91868, \"c\": 52823, \"d\": -3454, \"e\": 81457}", "seed": "16725715259033072375", "semantic_fingerprint": "sha256:f20660dc36d864d6b20b501cdc050fce16a34855716f5e755345942ba031cdf7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005792", "prompt": "Compute: 38303 / (-34585 / (1108 + 27143)) - (-20556 + (-50287))", "solution_steps": ["Add: 1108 + 27143 = 28251", "Divide: -34585 / 28251 = -34585/28251", "Divide: 38303 / (-34585/28251) = -1082098053/34585", "Add: -20556 + (-50287) = -70843", "Subtract: -1082098053/34585 - (-70843) = 1368007102/34585"], "final_answer": "1368007102/34585", "answer_type": "rational", "kind": "expression", "math_text": "38303 / (-34585 / (1108 + 27143)) - (-20556 + (-50287))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n (+ n n))) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38303, \"b\": -34585, \"c\": 1108, \"d\": 27143, \"e\": -20556, \"f\": -50287}", "seed": "16434454710959790684", "semantic_fingerprint": "sha256:68b16cd4f39542cca687db6c82ba3af4de8eaed3df67e4a4778606c3c6e67074", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005793", "prompt": "What is (-60054 + (-23721)) * 3061?", "solution_steps": ["Add: -60054 + (-23721) = -83775", "Multiply: -83775 * 3061 = -256435275"], "final_answer": "-256435275", "answer_type": "integer", "kind": "expression", "math_text": "(-60054 + (-23721)) * 3061", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -60054, \"b\": -23721, \"c\": 3061}", "seed": "8480694831342926743", "semantic_fingerprint": "sha256:bfdca34802648d94619316922c7800ca9ae253788a1ec7677eb6cd45e7e47c26", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005794", "prompt": "Compute: -9066 / (-23117) - 9816", "solution_steps": ["Divide: -9066 / (-23117) = 9066/23117", "Subtract: 9066/23117 - 9816 = -226907406/23117"], "final_answer": "-226907406/23117", "answer_type": "rational", "kind": "expression", "math_text": "-9066 / (-23117) - 9816", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9066, \"b\": -23117, \"c\": 9816}", "seed": "12653707152397462656", "semantic_fingerprint": "sha256:5b60163d6061e8aa4cf6a4441c216da7f62a313267dc118529e7272bdbf0a00b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005795", "prompt": "What value of x satisfies 28x = x + 4563?", "solution_steps": ["Subtract x from both sides: 27x = 4563", "Divide both sides by 27: x = 169"], "final_answer": "169", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = x + 4563", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"c\": 4563, \"x\": 169}", "seed": "12034209064360820891", "semantic_fingerprint": "sha256:c538c84c18c69de265ff4efd13071c6a94b3fefbbc17ca57833e3f21c293abff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005796", "prompt": "Calculate: -8016 * (-2128)", "solution_steps": ["Multiply: -8016 * (-2128) = 17058048"], "final_answer": "17058048", "answer_type": "integer", "kind": "expression", "math_text": "-8016 * (-2128)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8016, \"b\": -2128}", "seed": "10701365673999247040", "semantic_fingerprint": "sha256:518538d1c8a433c3f263ec00d8543dad3b39e5384e8d0a5c90a6301134ace915", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005797", "prompt": "What value of x satisfies -17x + 9563 = 31(x - 25953) - 65343?", "solution_steps": ["Expand: -17x + 9563 = 31x - 804543 - 65343", "Combine constants: -17x + 9563 = 31x - 869886", "Subtract 31x from both sides: -48x + 9563 = -869886", "Subtract 9563 from both sides: -48x = -879449", "Divide both sides by -48: x = 879449/48"], "final_answer": "879449/48", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x + 9563 = 31(x - 25953) - 65343", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 9563, \"c\": 31, \"d\": 25953, \"e\": 65343}", "seed": "9886054501739053583", "semantic_fingerprint": "sha256:e6f0ee701c8568706ccbbb1d9e1db00b5e1970d8f540b17c17d71e9c2369ac88", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005798", "prompt": "Evaluate: -4522 - 82889", "solution_steps": ["Subtract: -4522 - 82889 = -87411"], "final_answer": "-87411", "answer_type": "integer", "kind": "expression", "math_text": "-4522 - 82889", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4522, \"b\": 82889}", "seed": "18096544412480808810", "semantic_fingerprint": "sha256:c6c5b4e508a4de9b6a59939e88512c18f85221497b1adf2685e140d9133880d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005799", "prompt": "What is 5600 / (-41047 - 2931)?", "solution_steps": ["Subtract: -41047 - 2931 = -43978", "Divide: 5600 / (-43978) = -2800/21989"], "final_answer": "-2800/21989", "answer_type": "rational", "kind": "expression", "math_text": "5600 / (-41047 - 2931)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5600, \"b\": -41047, \"c\": 2931}", "seed": "11328762102385443455", "semantic_fingerprint": "sha256:c43081c47337bd94e8dd9181067dfba28474665842bc02e910b42e28d556f769", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005800", "prompt": "What is 1107 / (-5661 * 1542) + 9165?", "solution_steps": ["Multiply: -5661 * 1542 = -8729262", "Divide: 1107 / (-8729262) = -41/323306", "Add: -41/323306 + 9165 = 2963099449/323306"], "final_answer": "2963099449/323306", "answer_type": "rational", "kind": "expression", "math_text": "1107 / (-5661 * 1542) + 9165", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1107, \"b\": -5661, \"c\": 1542, \"d\": 9165}", "seed": "8927433154841173110", "semantic_fingerprint": "sha256:42a30763bb6d253e66a65e7c8fc81b76ceb96b555f02af2f24e5c689c990a589", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005801", "prompt": "Find x: 37(x - 9080) - 3048 = -28(x + 1512) - 3879", "solution_steps": ["Expand: 37x - 335960 - 3048 = -28(x + 1512) - 3879", "Expand: 37x - 335960 - 3048 = -28x - 42336 - 3879", "Combine constants: 37x - 339008 = -28x - 42336 - 3879", "Combine constants: 37x - 339008 = -28x - 46215", "Add 28x to both sides: 65x - 339008 = -46215", "Add 339008 to both sides: 65x = 292793", "Divide both sides by 65: x = 292793/65"], "final_answer": "292793/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 9080) - 3048 = -28(x + 1512) - 3879", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 9080, \"c\": 3048, \"d\": -28, \"e\": 1512, \"f\": 3879}", "seed": "9233359173118165704", "semantic_fingerprint": "sha256:3045c8517ebc1e340756caff97e3cbc4b978aaf883264b720c808a6933c36ea1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005802", "prompt": "Calculate: (77635 - 43323) * (-7857 * 1264 / (-80834))", "solution_steps": ["Subtract: 77635 - 43323 = 34312", "Multiply: -7857 * 1264 = -9931248", "Divide: -9931248 / (-80834) = 4965624/40417", "Multiply: 34312 * (4965624/40417) = 170380490688/40417"], "final_answer": "170380490688/40417", "answer_type": "rational", "kind": "expression", "math_text": "(77635 - 43323) * (-7857 * 1264 / (-80834))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 77635, \"b\": 43323, \"c\": -7857, \"d\": 1264, \"e\": -80834}", "seed": "507153742574307985", "semantic_fingerprint": "sha256:93740c77b4219f2b26871630ae31d56bef9b0c4ef64800231645f603868f5224", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005803", "prompt": "Calculate: -87686 / (-7770 + 7030)", "solution_steps": ["Add: -7770 + 7030 = -740", "Divide: -87686 / (-740) = 43843/370"], "final_answer": "43843/370", "answer_type": "rational", "kind": "expression", "math_text": "-87686 / (-7770 + 7030)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -87686, \"b\": -7770, \"c\": 7030}", "seed": "2766807859850307013", "semantic_fingerprint": "sha256:ae4bf291c3cca5cd71bc859da6d3bcef1f81f6e9340c93c511f66d450daa9a41", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005804", "prompt": "Solve for x: -19(x + 6936) - 50523 = 40(x - 64019)", "solution_steps": ["Expand: -19x - 131784 - 50523 = 40(x - 64019)", "Expand: -19x - 131784 - 50523 = 40x - 2560760", "Combine constants: -19x - 182307 = 40x - 2560760", "Subtract 40x from both sides: -59x - 182307 = -2560760", "Add 182307 to both sides: -59x = -2378453", "Divide both sides by -59: x = 2378453/59"], "final_answer": "2378453/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 6936) - 50523 = 40(x - 64019)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 6936, \"c\": 50523, \"d\": 40, \"e\": 64019}", "seed": "13296640481342207646", "semantic_fingerprint": "sha256:35aa19a6466135dcd2fb1c275eda238a2184743b1382f383654dd317d754923e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005805", "prompt": "Calculate: 8630 / (-7652) * 1398 + (-6005) * (-3399)", "solution_steps": ["Divide: 8630 / (-7652) = -4315/3826", "Multiply: (-4315/3826) * 1398 = -3016185/1913", "Multiply: -6005 * (-3399) = 20410995", "Add: -3016185/1913 + 20410995 = 39043217250/1913"], "final_answer": "39043217250/1913", "answer_type": "rational", "kind": "expression", "math_text": "8630 / (-7652) * 1398 + (-6005) * (-3399)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8630, \"b\": -7652, \"c\": 1398, \"d\": -6005, \"e\": -3399}", "seed": "18184087918918230331", "semantic_fingerprint": "sha256:5d1d1271c79babd4976cf6c064274c6641f3325b5843f6d7ca93e68a59eae309", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005806", "prompt": "What value of x satisfies x + 8975 = 17x + 2025?", "solution_steps": ["Subtract 17x from both sides: -16x + 8975 = 2025", "Subtract 8975 from both sides: -16x = -6950", "Divide both sides by -16: x = 3475/8"], "final_answer": "3475/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8975 = 17x + 2025", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8975, \"b\": 17, \"c\": 2025}", "seed": "10848761244975167373", "semantic_fingerprint": "sha256:a0ea3c18c8232c4a627436e4199f85603b3a46caa267b90696dd9c447e73b2a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005807", "prompt": "Find x: 34(x - 66308) = x", "solution_steps": ["Expand: 34x - 2254472 = x", "Subtract x from both sides: 33x - 2254472 = 0", "Add 2254472 to both sides: 33x = 2254472", "Divide both sides by 33: x = 204952/3"], "final_answer": "204952/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 66308) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 66308}", "seed": "870398342904774816", "semantic_fingerprint": "sha256:59d83aac9cd6718e4c717a4daf5bf99a901ac483350c972da2e81fab8e7e11bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005808", "prompt": "Compute: 1806 / (-1730) - (8506 + 65842) - (-1230 - 59485)", "solution_steps": ["Divide: 1806 / (-1730) = -903/865", "Add: 8506 + 65842 = 74348", "Subtract: -903/865 - 74348 = -64311923/865", "Subtract: -1230 - 59485 = -60715", "Subtract: -64311923/865 - (-60715) = -11793448/865"], "final_answer": "-11793448/865", "answer_type": "rational", "kind": "expression", "math_text": "1806 / (-1730) - (8506 + 65842) - (-1230 - 59485)", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1806, \"b\": -1730, \"c\": 8506, \"d\": 65842, \"e\": -1230, \"f\": 59485}", "seed": "2180528898244572668", "semantic_fingerprint": "sha256:2d10f38dc31447ed7a1b8ff5851290380a2f4375608d56cf11604c2317fb7a44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005809", "prompt": "Calculate: 70798 / (3866 - (-6768)) + 2658", "solution_steps": ["Subtract: 3866 - (-6768) = 10634", "Divide: 70798 / 10634 = 2723/409", "Add: 2723/409 + 2658 = 1089845/409"], "final_answer": "1089845/409", "answer_type": "rational", "kind": "expression", "math_text": "70798 / (3866 - (-6768)) + 2658", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 70798, \"b\": 3866, \"c\": -6768, \"d\": 2658}", "seed": "12034714156985881157", "semantic_fingerprint": "sha256:e9d5e2126e9203a22cbc90b02fb2dd6e063241f4f05212befcea1c5190ed5925", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005810", "prompt": "Find x: -27(x - 2049) - 62505 = 27x", "solution_steps": ["Expand: -27x + 55323 - 62505 = 27x", "Combine constants: -27x - 7182 = 27x", "Subtract 27x from both sides: -54x - 7182 = 0", "Add 7182 to both sides: -54x = 7182", "Divide both sides by -54: x = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "linear_equation", "math_text": "-27(x - 2049) - 62505 = 27x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 2049, \"c\": 27, \"e\": -62505, \"x\": -133}", "seed": "13234247458562642159", "semantic_fingerprint": "sha256:db0e731157fd92f67ac3621d6987a05ebdd1a02803778b86483248149017e383", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005811", "prompt": "Solve the equation x - 46014 = -40x + 9135 for x.", "solution_steps": ["Add 40x to both sides: 41x - 46014 = 9135", "Add 46014 to both sides: 41x = 55149", "Divide both sides by 41: x = 55149/41"], "final_answer": "55149/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 46014 = -40x + 9135", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 46014, \"b\": -40, \"c\": 9135}", "seed": "12981913916428993138", "semantic_fingerprint": "sha256:51aad3e2eaf6fea42af9a74a796a68c60ebb765ba1589fe6c4cbd8bc7d345271", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005812", "prompt": "Solve the equation x = 22x + 26222 for x.", "solution_steps": ["Subtract 22x from both sides: -21x = 26222", "Divide both sides by -21: x = -3746/3"], "final_answer": "-3746/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 22x + 26222", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 26222}", "seed": "3920862384024768145", "semantic_fingerprint": "sha256:0e1b5c7beea09e2c552662fa8412d39e5411a5c8e23a9aef5b17efe829b5849f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005813", "prompt": "Find x: x + 5314 = -13(x - 1165) - 9131", "solution_steps": ["Expand: x + 5314 = -13x + 15145 - 9131", "Combine constants: x + 5314 = -13x + 6014", "Add 13x to both sides: 14x + 5314 = 6014", "Subtract 5314 from both sides: 14x = 700", "Divide both sides by 14: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5314 = -13(x - 1165) - 9131", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5314, \"b\": -13, \"c\": 1165, \"e\": -9131, \"x\": 50}", "seed": "16502201047567160494", "semantic_fingerprint": "sha256:96f93d0fd396b7d4f119d7beec47f4b1f4fc0b11b399071ae884346801224b49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005814", "prompt": "Calculate: -3812 * (-72653 / 2284)", "solution_steps": ["Divide: -72653 / 2284 = -72653/2284", "Multiply: -3812 * (-72653/2284) = 69238309/571"], "final_answer": "69238309/571", "answer_type": "rational", "kind": "expression", "math_text": "-3812 * (-72653 / 2284)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3812, \"b\": -72653, \"c\": 2284}", "seed": "14786849352718485404", "semantic_fingerprint": "sha256:d831c682e5439c5144093cf2bb0c36e17db91309e52908384994cd0b5122c068", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005815", "prompt": "Calculate: -1956 + (-9280) - (-87274)", "solution_steps": ["Add: -1956 + (-9280) = -11236", "Subtract: -11236 - (-87274) = 76038"], "final_answer": "76038", "answer_type": "integer", "kind": "expression", "math_text": "-1956 + (-9280) - (-87274)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1956, \"b\": -9280, \"c\": -87274}", "seed": "18064166913083975148", "semantic_fingerprint": "sha256:40f2cc3b90abcba073a2b9e787aa5cd1d3a19862c605fb1ec26618020c2d4b9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005816", "prompt": "Compute: -6632 / (8921 + 48990) * 1263", "solution_steps": ["Add: 8921 + 48990 = 57911", "Divide: -6632 / 57911 = -6632/57911", "Multiply: (-6632/57911) * 1263 = -8376216/57911"], "final_answer": "-8376216/57911", "answer_type": "rational", "kind": "expression", "math_text": "-6632 / (8921 + 48990) * 1263", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6632, \"b\": 8921, \"c\": 48990, \"d\": 1263}", "seed": "17008040574083075398", "semantic_fingerprint": "sha256:a28a607c443289ace91dc20948669876f9f20214e3cc989c995621cce12c97d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005817", "prompt": "Solve the equation x + 9492 = 9393 for x.", "solution_steps": ["Subtract 9492 from both sides: x = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9492 = 9393", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9492, \"c\": 9393, \"x\": -99}", "seed": "17026614930559472522", "semantic_fingerprint": "sha256:b59ba68702014fff21d3fa5b25a190ad916401fb73d82b48be73768b56536aa2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005818", "prompt": "Find x: 28x - 3954 = -20517", "solution_steps": ["Add 3954 to both sides: 28x = -16563", "Divide both sides by 28: x = -16563/28"], "final_answer": "-16563/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "28x - 3954 = -20517", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 3954, \"c\": -20517}", "seed": "16076516123282560373", "semantic_fingerprint": "sha256:e2f9cfea77a9655fe841e3ea580c8abe2c708c9bc09a99bb55c9c4c9b32e2f20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005819", "prompt": "Compute: -2203 * ((-62430 + (-3194 - 79639)) / (-99094))", "solution_steps": ["Subtract: -3194 - 79639 = -82833", "Add: -62430 + (-82833) = -145263", "Divide: -145263 / (-99094) = 145263/99094", "Multiply: -2203 * (145263/99094) = -320014389/99094"], "final_answer": "-320014389/99094", "answer_type": "rational", "kind": "expression", "math_text": "-2203 * ((-62430 + (-3194 - 79639)) / (-99094))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2203, \"b\": -62430, \"c\": -3194, \"d\": 79639, \"e\": -99094}", "seed": "2187056340671155041", "semantic_fingerprint": "sha256:ac1812f99068cefe78a4969f282ad34d65f1c97b58f532382f7781d54f94da28", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005820", "prompt": "Solve for x: 16(x - 8031) + 8657 = -23x - 4728", "solution_steps": ["Expand: 16x - 128496 + 8657 = -23x - 4728", "Combine constants: 16x - 119839 = -23x - 4728", "Add 23x to both sides: 39x - 119839 = -4728", "Add 119839 to both sides: 39x = 115111", "Divide both sides by 39: x = 115111/39"], "final_answer": "115111/39", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 8031) + 8657 = -23x - 4728", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 8031, \"c\": 8657, \"d\": -23, \"e\": 4728}", "seed": "7697431578134177417", "semantic_fingerprint": "sha256:ac031b85778f9e241b4c3dd5abbba57172f36b21fef6aaad91dd2a4f8bec5866", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005821", "prompt": "Compute: 9132 / (-93148)", "solution_steps": ["Divide: 9132 / (-93148) = -2283/23287"], "final_answer": "-2283/23287", "answer_type": "rational", "kind": "expression", "math_text": "9132 / (-93148)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9132, \"b\": -93148}", "seed": "17497062653235557816", "semantic_fingerprint": "sha256:b1c9057dabaadff0baee36cc5c1df4fae053d94d0a51b8cc8379b5927e01e7db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005822", "prompt": "Evaluate: 68382 - 2301 - 5015 * 54144", "solution_steps": ["Subtract: 68382 - 2301 = 66081", "Multiply: 5015 * 54144 = 271532160", "Subtract: 66081 - 271532160 = -271466079"], "final_answer": "-271466079", "answer_type": "integer", "kind": "expression", "math_text": "68382 - 2301 - 5015 * 54144", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 68382, \"b\": 2301, \"c\": 5015, \"d\": 54144}", "seed": "16417183781784069887", "semantic_fingerprint": "sha256:0349357b6535e911c31220c0e25564bf35724fbe4b61dde5457ade847f8d70b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005823", "prompt": "Solve for x: 32(x - 62992) = -18(x + 5320) - 79561", "solution_steps": ["Expand: 32x - 2015744 = -18(x + 5320) - 79561", "Expand: 32x - 2015744 = -18x - 95760 - 79561", "Combine constants: 32x - 2015744 = -18x - 175321", "Add 18x to both sides: 50x - 2015744 = -175321", "Add 2015744 to both sides: 50x = 1840423", "Divide both sides by 50: x = 1840423/50"], "final_answer": "1840423/50", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 62992) = -18(x + 5320) - 79561", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 62992, \"c\": -18, \"d\": 5320, \"e\": 79561}", "seed": "13459843893314315297", "semantic_fingerprint": "sha256:21b24ae0255934af9783287af097d0931285639628199b016e1d5d27debadd2c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005824", "prompt": "Compute: -7527 / 9456 * 9757", "solution_steps": ["Divide: -7527 / 9456 = -2509/3152", "Multiply: (-2509/3152) * 9757 = -24480313/3152"], "final_answer": "-24480313/3152", "answer_type": "rational", "kind": "expression", "math_text": "-7527 / 9456 * 9757", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7527, \"b\": 9456, \"c\": 9757}", "seed": "2685994512826715588", "semantic_fingerprint": "sha256:0f82516e50d3f59a68b40a3995d0acfc5a4c765d8a0599b77ad485f1a9a5f5bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005825", "prompt": "Compute: 13427 + (-9438 + 23524) + 8072", "solution_steps": ["Add: -9438 + 23524 = 14086", "Add: 13427 + 14086 = 27513", "Add: 27513 + 8072 = 35585"], "final_answer": "35585", "answer_type": "integer", "kind": "expression", "math_text": "13427 + (-9438 + 23524) + 8072", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13427, \"b\": -9438, \"c\": 23524, \"d\": 8072}", "seed": "7764900687085972328", "semantic_fingerprint": "sha256:b085c0fc96edd88f9d43f5d9d1570d8522e3a9c7edcc6c37bcb16a1a79cc7d35", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005826", "prompt": "What value of x satisfies 33x + 6400 = x?", "solution_steps": ["Subtract x from both sides: 32x + 6400 = 0", "Subtract 6400 from both sides: 32x = -6400", "Divide both sides by 32: x = -200"], "final_answer": "-200", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x + 6400 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 6400, \"x\": -200}", "seed": "2184197835614791253", "semantic_fingerprint": "sha256:92ba0dab8f8478d16fe5abcbdb28495c841e5e9a97dcf9f5dff10d54031bddd5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005827", "prompt": "What is -5400 - 58792 - 21301?", "solution_steps": ["Subtract: -5400 - 58792 = -64192", "Subtract: -64192 - 21301 = -85493"], "final_answer": "-85493", "answer_type": "integer", "kind": "expression", "math_text": "-5400 - 58792 - 21301", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5400, \"b\": 58792, \"c\": 21301}", "seed": "2124099196925927619", "semantic_fingerprint": "sha256:0723203ce1c08141a518fc8d389ad3544e4ed904ac237762d259f29a38708b3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005828", "prompt": "Compute: -35112 / (-92456 - 2580) - 6203", "solution_steps": ["Subtract: -92456 - 2580 = -95036", "Divide: -35112 / (-95036) = 8778/23759", "Subtract: 8778/23759 - 6203 = -147368299/23759"], "final_answer": "-147368299/23759", "answer_type": "rational", "kind": "expression", "math_text": "-35112 / (-92456 - 2580) - 6203", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35112, \"b\": -92456, \"c\": 2580, \"d\": 6203}", "seed": "17379043049395738426", "semantic_fingerprint": "sha256:229a391c28796d272e663f6b063b2a60bddca129c69e5edc1400c80bbcbe3a71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005829", "prompt": "What value of x satisfies 17(x + 66691) - 3973 = -29x + 8170?", "solution_steps": ["Expand: 17x + 1133747 - 3973 = -29x + 8170", "Combine constants: 17x + 1129774 = -29x + 8170", "Add 29x to both sides: 46x + 1129774 = 8170", "Subtract 1129774 from both sides: 46x = -1121604", "Divide both sides by 46: x = -560802/23"], "final_answer": "-560802/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "17(x + 66691) - 3973 = -29x + 8170", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 66691, \"c\": 3973, \"d\": -29, \"e\": 8170}", "seed": "14980354670118204682", "semantic_fingerprint": "sha256:abbdc463e026e62f416790a1ec7abfc8c2cdfbbd9ccafd5581fa7d368c632e6c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005830", "prompt": "Find x: 34x = 7100", "solution_steps": ["Divide both sides by 34: x = 3550/17"], "final_answer": "3550/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "34x = 7100", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 7100}", "seed": "17789233243017148422", "semantic_fingerprint": "sha256:68f16ddf96e5083b517e8940fbd9286fb5a8d3a9c2cb00cd88ea6e354a46aadd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005831", "prompt": "Find x: x + 62610 = 32(x - 7172)", "solution_steps": ["Expand: x + 62610 = 32x - 229504", "Subtract 32x from both sides: -31x + 62610 = -229504", "Subtract 62610 from both sides: -31x = -292114", "Divide both sides by -31: x = 292114/31"], "final_answer": "292114/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 62610 = 32(x - 7172)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62610, \"b\": 32, \"c\": 7172}", "seed": "10908404503362740820", "semantic_fingerprint": "sha256:a2be36ef11dde5890f070e3fb8ea05afbd81c6a5a407cea56b888307c9a1f31c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005832", "prompt": "Find x: x + 4595 = 6039", "solution_steps": ["Subtract 4595 from both sides: x = 1444"], "final_answer": "1444", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4595 = 6039", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4595, \"b\": 6039}", "seed": "16999622006311636797", "semantic_fingerprint": "sha256:a6cbfed88397631bbb6826311e038f5e33ab30093224f998b54196b93bd7eca3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005833", "prompt": "Solve for x: -15(x + 5754) - 9546 = 30(x - 2241) - 25431", "solution_steps": ["Expand: -15x - 86310 - 9546 = 30(x - 2241) - 25431", "Expand: -15x - 86310 - 9546 = 30x - 67230 - 25431", "Combine constants: -15x - 95856 = 30x - 67230 - 25431", "Combine constants: -15x - 95856 = 30x - 92661", "Subtract 30x from both sides: -45x - 95856 = -92661", "Add 95856 to both sides: -45x = 3195", "Divide both sides by -45: x = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x + 5754) - 9546 = 30(x - 2241) - 25431", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 5754, \"c\": 9546, \"d\": 30, \"e\": 2241, \"g\": -25431, \"x\": -71}", "seed": "5517530936679832826", "semantic_fingerprint": "sha256:f777d3e534b481e78633018fd3f319d864f7e7de4f4c6ce8a797a1217a67572f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005834", "prompt": "Evaluate: -6706 * (7612 / 6188)", "solution_steps": ["Divide: 7612 / 6188 = 1903/1547", "Multiply: -6706 * (1903/1547) = -1823074/221"], "final_answer": "-1823074/221", "answer_type": "rational", "kind": "expression", "math_text": "-6706 * (7612 / 6188)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6706, \"b\": 7612, \"c\": 6188}", "seed": "10399944995139779295", "semantic_fingerprint": "sha256:e46626e9aa5d53226839a07b8ab4dca14d442676e3d7128fcd240a00c7f3d103", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005835", "prompt": "Solve the equation 23x - 7336 = x - 9228 for x.", "solution_steps": ["Subtract x from both sides: 22x - 7336 = -9228", "Add 7336 to both sides: 22x = -1892", "Divide both sides by 22: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "23x - 7336 = x - 9228", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 7336, \"d\": -9228, \"x\": -86}", "seed": "13619510530937089965", "semantic_fingerprint": "sha256:797094547456906f1e1b7dba44d2b9a24c7bdf6fe6583e0fe572f9f6abaf13e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005836", "prompt": "What is -6934 / 2552?", "solution_steps": ["Divide: -6934 / 2552 = -3467/1276"], "final_answer": "-3467/1276", "answer_type": "rational", "kind": "expression", "math_text": "-6934 / 2552", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6934, \"b\": 2552}", "seed": "16617182174665404363", "semantic_fingerprint": "sha256:49411d90412aad0941f0966adf9f9cde9e7bf2fac940f046239a6a7970e4d22f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005837", "prompt": "Solve the equation x - 37373 = -27(x + 44716) + 70954 for x.", "solution_steps": ["Expand: x - 37373 = -27x - 1207332 + 70954", "Combine constants: x - 37373 = -27x - 1136378", "Add 27x to both sides: 28x - 37373 = -1136378", "Add 37373 to both sides: 28x = -1099005", "Divide both sides by 28: x = -1099005/28"], "final_answer": "-1099005/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 37373 = -27(x + 44716) + 70954", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37373, \"b\": -27, \"c\": 44716, \"d\": 70954}", "seed": "8697394860414391323", "semantic_fingerprint": "sha256:f1f6ba5731770161159be11e62189ff3e4f1b42b2a810af60fa0a8bbd214dae7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005838", "prompt": "Calculate: -2082 * (-5593 - (-1833 - 5938))", "solution_steps": ["Subtract: -1833 - 5938 = -7771", "Subtract: -5593 - (-7771) = 2178", "Multiply: -2082 * 2178 = -4534596"], "final_answer": "-4534596", "answer_type": "integer", "kind": "expression", "math_text": "-2082 * (-5593 - (-1833 - 5938))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2082, \"b\": -5593, \"c\": -1833, \"d\": 5938}", "seed": "16134132984517378402", "semantic_fingerprint": "sha256:53bb3a837e2fb2ed638ca2709147ddc1a12cf5989c0697f476a4266bc655bcab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005839", "prompt": "Calculate: (43580 + 77033) / 3200", "solution_steps": ["Add: 43580 + 77033 = 120613", "Divide: 120613 / 3200 = 120613/3200"], "final_answer": "120613/3200", "answer_type": "rational", "kind": "expression", "math_text": "(43580 + 77033) / 3200", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 43580, \"b\": 77033, \"c\": 3200}", "seed": "419115506145516543", "semantic_fingerprint": "sha256:85e4719e19d4057efc900428992e74f1bb6f18cea8011e002c7fa8dcfaf16b81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005840", "prompt": "Calculate: -5793 / 7580 - 4336", "solution_steps": ["Divide: -5793 / 7580 = -5793/7580", "Subtract: -5793/7580 - 4336 = -32872673/7580"], "final_answer": "-32872673/7580", "answer_type": "rational", "kind": "expression", "math_text": "-5793 / 7580 - 4336", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5793, \"b\": 7580, \"c\": 4336}", "seed": "12516520745467576277", "semantic_fingerprint": "sha256:b4f0a26d893aa70147a6ba16db89411306c219dbb5f23b0905dd39f2002dc3b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005841", "prompt": "Compute: -5649 - (32282 + (-7432) - 4898 / (-3454))", "solution_steps": ["Add: 32282 + (-7432) = 24850", "Divide: 4898 / (-3454) = -2449/1727", "Subtract: 24850 - (-2449/1727) = 42918399/1727", "Subtract: -5649 - 42918399/1727 = -52674222/1727"], "final_answer": "-52674222/1727", "answer_type": "rational", "kind": "expression", "math_text": "-5649 - (32282 + (-7432) - 4898 / (-3454))", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5649, \"b\": 32282, \"c\": -7432, \"d\": 4898, \"e\": -3454}", "seed": "6387342345293086024", "semantic_fingerprint": "sha256:a6351c21a885c3b406d830aeb320e478ef6343c2a33a5dc9f115126ad5db2066", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005842", "prompt": "What is -9321 + (-5994)?", "solution_steps": ["Add: -9321 + (-5994) = -15315"], "final_answer": "-15315", "answer_type": "integer", "kind": "expression", "math_text": "-9321 + (-5994)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9321, \"b\": -5994}", "seed": "2492840834834054664", "semantic_fingerprint": "sha256:0c6804251cdcfc2cb327801c59fa24d8688fc905f9511f4ccf0c73efac9b02f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005843", "prompt": "Find x: 40x = 13x - 2241", "solution_steps": ["Subtract 13x from both sides: 27x = -2241", "Divide both sides by 27: x = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = 13x - 2241", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 13, \"d\": -2241, \"x\": -83}", "seed": "2412937293377505695", "semantic_fingerprint": "sha256:63003134236778270160d1050387ee29e9751fcc9149c528f0c04e29ef2ab68f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005844", "prompt": "What is 5360 - (-6548)?", "solution_steps": ["Subtract: 5360 - (-6548) = 11908"], "final_answer": "11908", "answer_type": "integer", "kind": "expression", "math_text": "5360 - (-6548)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5360, \"b\": -6548}", "seed": "16511020123599790856", "semantic_fingerprint": "sha256:e7eba81936c29cc0ad881d4d6433072cc0519a104526d570f580b24b25db7533", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005845", "prompt": "Evaluate: 87472 + (-4805) * 89827 - (-8778) / (8616 / (-92863))", "solution_steps": ["Multiply: -4805 * 89827 = -431618735", "Add: 87472 + (-431618735) = -431531263", "Divide: 8616 / (-92863) = -8616/92863", "Divide: -8778 / (-8616/92863) = 135858569/1436", "Subtract: -431531263 - 135858569/1436 = -619814752237/1436"], "final_answer": "-619814752237/1436", "answer_type": "rational", "kind": "expression", "math_text": "87472 + (-4805) * 89827 - (-8778) / (8616 / (-92863))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 87472, \"b\": -4805, \"c\": 89827, \"d\": -8778, \"e\": 8616, \"f\": -92863}", "seed": "4227977551294282822", "semantic_fingerprint": "sha256:d8c1600e71c96cf4770c8c34ee9d562e747e2ea49c70b8825c6c4ec0f6bd842c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005846", "prompt": "Compute: (-7291 - (-16134)) / 4436", "solution_steps": ["Subtract: -7291 - (-16134) = 8843", "Divide: 8843 / 4436 = 8843/4436"], "final_answer": "8843/4436", "answer_type": "rational", "kind": "expression", "math_text": "(-7291 - (-16134)) / 4436", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7291, \"b\": -16134, \"c\": 4436}", "seed": "16243213209448658038", "semantic_fingerprint": "sha256:0e6beb525bbcf1f1df00f697853944ebb4ffcdc618224ba61e5a2a038eb535bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005847", "prompt": "What value of x satisfies x = 36x + 4803?", "solution_steps": ["Subtract 36x from both sides: -35x = 4803", "Divide both sides by -35: x = -4803/35"], "final_answer": "-4803/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 36x + 4803", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 4803}", "seed": "17094501735359319691", "semantic_fingerprint": "sha256:557983b95400c5d3281ac407b9b705f3c61de891aa4566383be1d46dd34af248", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005848", "prompt": "Solve the equation x = 17x - 1424 for x.", "solution_steps": ["Subtract 17x from both sides: -16x = -1424", "Divide both sides by -16: x = 89"], "final_answer": "89", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 17x - 1424", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 17, \"c\": -1424, \"x\": 89}", "seed": "14814114950813358810", "semantic_fingerprint": "sha256:45c3ab7c78ce7c0b489a366d371e1c53f2dbd6052870440b1c899fa2f3a0bd5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005849", "prompt": "Calculate: -8565 * (3660 * (-1841))", "solution_steps": ["Multiply: 3660 * (-1841) = -6738060", "Multiply: -8565 * (-6738060) = 57711483900"], "final_answer": "57711483900", "answer_type": "integer", "kind": "expression", "math_text": "-8565 * (3660 * (-1841))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8565, \"b\": 3660, \"c\": -1841}", "seed": "16149656654833015769", "semantic_fingerprint": "sha256:67694434085ddf0f5dee87d07bd5c76f72e3e390ea7a325c9cc5698f2fc65657", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005850", "prompt": "Evaluate: -2521 / (-31825)", "solution_steps": ["Divide: -2521 / (-31825) = 2521/31825"], "final_answer": "2521/31825", "answer_type": "rational", "kind": "expression", "math_text": "-2521 / (-31825)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2521, \"b\": -31825}", "seed": "3744725380066272787", "semantic_fingerprint": "sha256:1a72305401c5b78b5cc811f0222118116cbbed4590f7db04bac18b343f75930e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005851", "prompt": "Find x: 33x = 3696", "solution_steps": ["Divide both sides by 33: x = 112"], "final_answer": "112", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x = 3696", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": 3696, \"x\": 112}", "seed": "3856626428486051666", "semantic_fingerprint": "sha256:c55f0c08b3398b06cb9ad8b6877094f232cb1b75ede8f9902d10a4cd700d9078", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005852", "prompt": "Compute: -62327 + 2802", "solution_steps": ["Add: -62327 + 2802 = -59525"], "final_answer": "-59525", "answer_type": "integer", "kind": "expression", "math_text": "-62327 + 2802", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -62327, \"b\": 2802}", "seed": "17816284482263853297", "semantic_fingerprint": "sha256:3a603a48f4bb2513abac8afdaef6b1c00a50831ab48bda19020baa650a9fca38", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005853", "prompt": "Find x: 32x + 1821 = x + 6657", "solution_steps": ["Subtract x from both sides: 31x + 1821 = 6657", "Subtract 1821 from both sides: 31x = 4836", "Divide both sides by 31: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 1821 = x + 6657", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1821, \"d\": 6657, \"x\": 156}", "seed": "6500933993816532938", "semantic_fingerprint": "sha256:0ef26dd39e09bad94ca253f770ff271db28c8f6599fff889edd1ed7e96ae77d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005854", "prompt": "Evaluate: -4565 + 34982 * 32999 + (-7723 + (-9581))", "solution_steps": ["Multiply: 34982 * 32999 = 1154371018", "Add: -4565 + 1154371018 = 1154366453", "Add: -7723 + (-9581) = -17304", "Add: 1154366453 + (-17304) = 1154349149"], "final_answer": "1154349149", "answer_type": "integer", "kind": "expression", "math_text": "-4565 + 34982 * 32999 + (-7723 + (-9581))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -4565, \"b\": 34982, \"c\": 32999, \"d\": -7723, \"e\": -9581}", "seed": "12339556759192518823", "semantic_fingerprint": "sha256:1cb7b45f47a5d32498759a9ec32d0b8bdaa46e010009e5808ae66c2fb62e8e9d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005855", "prompt": "Compute: 67464 - (-4306)", "solution_steps": ["Subtract: 67464 - (-4306) = 71770"], "final_answer": "71770", "answer_type": "integer", "kind": "expression", "math_text": "67464 - (-4306)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 67464, \"b\": -4306}", "seed": "5669055426812770280", "semantic_fingerprint": "sha256:eb264dca67bf62faff3f768a1818bba15bbe0b88fea1d80abf126ada13cf5531", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005856", "prompt": "Evaluate: -1665 * 7310 * 5152", "solution_steps": ["Multiply: -1665 * 7310 = -12171150", "Multiply: -12171150 * 5152 = -62705764800"], "final_answer": "-62705764800", "answer_type": "integer", "kind": "expression", "math_text": "-1665 * 7310 * 5152", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1665, \"b\": 7310, \"c\": 5152}", "seed": "819510052819199338", "semantic_fingerprint": "sha256:02726f8c3dc71033de284657ad14250be64a7ecd8182854a6b7ad880d90a483f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005857", "prompt": "Solve the equation 18x = 29x - 8850 for x.", "solution_steps": ["Subtract 29x from both sides: -11x = -8850", "Divide both sides by -11: x = 8850/11"], "final_answer": "8850/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "18x = 29x - 8850", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 29, \"c\": 8850}", "seed": "14222626193050141727", "semantic_fingerprint": "sha256:edd4f3cc0781458ff77dd4b0c6dde7ad38a27c292e69dbe5eeffcd1674da0c20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005858", "prompt": "What is -1575 + (-2014 + 36549)?", "solution_steps": ["Add: -2014 + 36549 = 34535", "Add: -1575 + 34535 = 32960"], "final_answer": "32960", "answer_type": "integer", "kind": "expression", "math_text": "-1575 + (-2014 + 36549)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1575, \"b\": -2014, \"c\": 36549}", "seed": "13743269284677989502", "semantic_fingerprint": "sha256:0d20194add6e30840aab36db67714b57de412f3c64765cda62f0c3f06f116b29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005859", "prompt": "Evaluate: -1796 / (6992 + 23297)", "solution_steps": ["Add: 6992 + 23297 = 30289", "Divide: -1796 / 30289 = -1796/30289"], "final_answer": "-1796/30289", "answer_type": "rational", "kind": "expression", "math_text": "-1796 / (6992 + 23297)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1796, \"b\": 6992, \"c\": 23297}", "seed": "328450490806485558", "semantic_fingerprint": "sha256:8c8e45f481913fa856616f74834e334af4cf60b15951180276eaf4cf26cdb68a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005860", "prompt": "Solve the equation -36x = x - 82205 for x.", "solution_steps": ["Subtract x from both sides: -37x = -82205", "Divide both sides by -37: x = 82205/37"], "final_answer": "82205/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36x = x - 82205", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 82205}", "seed": "15315238424138968581", "semantic_fingerprint": "sha256:88ca0790133b3c55aad255540eba1414e130ce11f5fa0d3f7e607918e6fa892f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005861", "prompt": "Compute: 53573 + (3239 - 17156)", "solution_steps": ["Subtract: 3239 - 17156 = -13917", "Add: 53573 + (-13917) = 39656"], "final_answer": "39656", "answer_type": "integer", "kind": "expression", "math_text": "53573 + (3239 - 17156)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 53573, \"b\": 3239, \"c\": 17156}", "seed": "16215959325937108837", "semantic_fingerprint": "sha256:ce75d96a2f5e5659f2e313da901dd07fb8222e62abe9a8cb4a74a71e6ace6779", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005862", "prompt": "What is (6168 - (-75747)) * 78731 - (-47779)?", "solution_steps": ["Subtract: 6168 - (-75747) = 81915", "Multiply: 81915 * 78731 = 6449249865", "Subtract: 6449249865 - (-47779) = 6449297644"], "final_answer": "6449297644", "answer_type": "integer", "kind": "expression", "math_text": "(6168 - (-75747)) * 78731 - (-47779)", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6168, \"b\": -75747, \"c\": 78731, \"d\": -47779}", "seed": "15012494924865711657", "semantic_fingerprint": "sha256:03028fdd466ac6e3ffd9ab0bedfae4c5002c8c6bb30a6a25f9860e7e8497413c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005863", "prompt": "Calculate: (7934 - 9728) / (7313 + 21243)", "solution_steps": ["Subtract: 7934 - 9728 = -1794", "Add: 7313 + 21243 = 28556", "Divide: -1794 / 28556 = -897/14278"], "final_answer": "-897/14278", "answer_type": "rational", "kind": "expression", "math_text": "(7934 - 9728) / (7313 + 21243)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7934, \"b\": 9728, \"c\": 7313, \"d\": 21243}", "seed": "12381650851350055877", "semantic_fingerprint": "sha256:755b216421c3d54c3086718f0ed78755e8eda090527a06d6b8f06765d5cd5afe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005864", "prompt": "Calculate: -5936 - (-5598)", "solution_steps": ["Subtract: -5936 - (-5598) = -338"], "final_answer": "-338", "answer_type": "integer", "kind": "expression", "math_text": "-5936 - (-5598)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5936, \"b\": -5598}", "seed": "12564207407888492921", "semantic_fingerprint": "sha256:d4fd7fb75fd572736089203e64720e5763010ea39353513c020006d05bc78db2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005865", "prompt": "Calculate: 3671 / (-7498)", "solution_steps": ["Divide: 3671 / (-7498) = -3671/7498"], "final_answer": "-3671/7498", "answer_type": "rational", "kind": "expression", "math_text": "3671 / (-7498)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3671, \"b\": -7498}", "seed": "3189621908473116433", "semantic_fingerprint": "sha256:110aa07f12ec1156152d2c87d50bf4b1f0cd661c78ce23a7303a0e1ef703a374", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005866", "prompt": "Compute: 85798 / 2296 - (-54823)", "solution_steps": ["Divide: 85798 / 2296 = 42899/1148", "Subtract: 42899/1148 - (-54823) = 62979703/1148"], "final_answer": "62979703/1148", "answer_type": "rational", "kind": "expression", "math_text": "85798 / 2296 - (-54823)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85798, \"b\": 2296, \"c\": -54823}", "seed": "15605028108364132128", "semantic_fingerprint": "sha256:6341098b1e4beef0420562c5f24a56ee8a93135bc3362d8c9bc1537e87a86bc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005867", "prompt": "Calculate: 8445 * (-2998 - (-33512))", "solution_steps": ["Subtract: -2998 - (-33512) = 30514", "Multiply: 8445 * 30514 = 257690730"], "final_answer": "257690730", "answer_type": "integer", "kind": "expression", "math_text": "8445 * (-2998 - (-33512))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8445, \"b\": -2998, \"c\": -33512}", "seed": "15889608085363140681", "semantic_fingerprint": "sha256:4961036e9a58a4cfa318a591a9fd314335de2cb0996b6f7a183375775dfc621a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005868", "prompt": "Compute: 1317 + 2053 + (8720 / 3290 + 46244)", "solution_steps": ["Add: 1317 + 2053 = 3370", "Divide: 8720 / 3290 = 872/329", "Add: 872/329 + 46244 = 15215148/329", "Add: 3370 + 15215148/329 = 16323878/329"], "final_answer": "16323878/329", "answer_type": "rational", "kind": "expression", "math_text": "1317 + 2053 + (8720 / 3290 + 46244)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1317, \"b\": 2053, \"c\": 8720, \"d\": 3290, \"e\": 46244}", "seed": "7241207252442323922", "semantic_fingerprint": "sha256:e22440726f46355df9813a2378dc9d324482dd9e348b00cac3e3a88ebc739d5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005869", "prompt": "What value of x satisfies x - 4818 = -32x?", "solution_steps": ["Add 32x to both sides: 33x - 4818 = 0", "Add 4818 to both sides: 33x = 4818", "Divide both sides by 33: x = 146"], "final_answer": "146", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4818 = -32x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"c\": -4818, \"x\": 146}", "seed": "12321392814761780504", "semantic_fingerprint": "sha256:8189ad719d82a1365b89cd7de1b1cbf73f8b90daf183212c78ac0b5dfaa4779c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005870", "prompt": "Calculate: -6563 / (-7882)", "solution_steps": ["Divide: -6563 / (-7882) = 6563/7882"], "final_answer": "6563/7882", "answer_type": "rational", "kind": "expression", "math_text": "-6563 / (-7882)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6563, \"b\": -7882}", "seed": "2058779691136572560", "semantic_fingerprint": "sha256:dbddb776671e6fb5c27401ddbfe482c6e61e72f27dd2ea26191376330ed939d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005871", "prompt": "Solve the equation x + 2640 = 6210 for x.", "solution_steps": ["Subtract 2640 from both sides: x = 3570"], "final_answer": "3570", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2640 = 6210", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2640, \"b\": 6210}", "seed": "4591502356961151949", "semantic_fingerprint": "sha256:72a389e933decd6aea11abdb02c3c2a607c7de68c53bd036349380b7a96332c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005872", "prompt": "What is 8408 * ((6126 + 1197) / 58346)?", "solution_steps": ["Add: 6126 + 1197 = 7323", "Divide: 7323 / 58346 = 7323/58346", "Multiply: 8408 * (7323/58346) = 30785892/29173"], "final_answer": "30785892/29173", "answer_type": "rational", "kind": "expression", "math_text": "8408 * ((6126 + 1197) / 58346)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8408, \"b\": 6126, \"c\": 1197, \"d\": 58346}", "seed": "2981058768284818187", "semantic_fingerprint": "sha256:5a76e7959cab0aacbde9cb8f708b24ec3734d200dfc16d486c4b3958388f91b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005873", "prompt": "What is (-2740 - 1701 / 4771) * (-48667)?", "solution_steps": ["Divide: 1701 / 4771 = 1701/4771", "Subtract: -2740 - 1701/4771 = -13074241/4771", "Multiply: (-13074241/4771) * (-48667) = 636284086747/4771"], "final_answer": "636284086747/4771", "answer_type": "rational", "kind": "expression", "math_text": "(-2740 - 1701 / 4771) * (-48667)", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2740, \"b\": 1701, \"c\": 4771, \"d\": -48667}", "seed": "12389092728756413244", "semantic_fingerprint": "sha256:7a48aea2fd05fafee0f195f38ee47a77eee294504867e38bd5a40af352a46f6f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005874", "prompt": "Compute: -28262 / 57254 * 2256", "solution_steps": ["Divide: -28262 / 57254 = -14131/28627", "Multiply: (-14131/28627) * 2256 = -31879536/28627"], "final_answer": "-31879536/28627", "answer_type": "rational", "kind": "expression", "math_text": "-28262 / 57254 * 2256", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28262, \"b\": 57254, \"c\": 2256}", "seed": "587756043869039567", "semantic_fingerprint": "sha256:ba758de978373764d2377fa3f4b2ad93a571c913d2f557c99595b9abe3b64c1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005875", "prompt": "What is -7682 + 5286 - 5923?", "solution_steps": ["Add: -7682 + 5286 = -2396", "Subtract: -2396 - 5923 = -8319"], "final_answer": "-8319", "answer_type": "integer", "kind": "expression", "math_text": "-7682 + 5286 - 5923", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7682, \"b\": 5286, \"c\": 5923}", "seed": "5503267163090262228", "semantic_fingerprint": "sha256:7e507efc93ff19dc47aa3caaaa80ec111a6a740883ea501154e50eb9258caaf6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005876", "prompt": "Solve the equation 32(x + 3231) = -28(x + 7976) for x.", "solution_steps": ["Expand: 32x + 103392 = -28(x + 7976)", "Expand: 32x + 103392 = -28x - 223328", "Add 28x to both sides: 60x + 103392 = -223328", "Subtract 103392 from both sides: 60x = -326720", "Divide both sides by 60: x = -16336/3"], "final_answer": "-16336/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x + 3231) = -28(x + 7976)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 3231, \"c\": -28, \"d\": 7976}", "seed": "15858221480387256883", "semantic_fingerprint": "sha256:44bf63e84ff6372f65bad3063fcf4c9c9e7d677df5512d96850bba809f1175fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005877", "prompt": "Compute: 4368 * 95260", "solution_steps": ["Multiply: 4368 * 95260 = 416095680"], "final_answer": "416095680", "answer_type": "integer", "kind": "expression", "math_text": "4368 * 95260", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4368, \"b\": 95260}", "seed": "15653121502552605571", "semantic_fingerprint": "sha256:443482add6eb23499f5259ad9bac5176e4d2479227e6e2a48f8f68ece79b57fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005878", "prompt": "What is 49564 - (-3336 + 20794) * 4599?", "solution_steps": ["Add: -3336 + 20794 = 17458", "Multiply: 17458 * 4599 = 80289342", "Subtract: 49564 - 80289342 = -80239778"], "final_answer": "-80239778", "answer_type": "integer", "kind": "expression", "math_text": "49564 - (-3336 + 20794) * 4599", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 49564, \"b\": -3336, \"c\": 20794, \"d\": 4599}", "seed": "1656338450605121671", "semantic_fingerprint": "sha256:47d4de41fac21eaa24bc43d7bc4ded89aa7ed6970cd82409e8f20e29b0ffa689", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005879", "prompt": "Solve the equation -36(x + 42474) + 3840 = 32x + 8729 for x.", "solution_steps": ["Expand: -36x - 1529064 + 3840 = 32x + 8729", "Combine constants: -36x - 1525224 = 32x + 8729", "Subtract 32x from both sides: -68x - 1525224 = 8729", "Add 1525224 to both sides: -68x = 1533953", "Divide both sides by -68: x = -1533953/68"], "final_answer": "-1533953/68", "answer_type": "rational", "kind": "linear_equation", "math_text": "-36(x + 42474) + 3840 = 32x + 8729", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 42474, \"c\": 3840, \"d\": 32, \"e\": 8729}", "seed": "9258171301713126161", "semantic_fingerprint": "sha256:4beea24de524292e32dd71cdcfb3ffa2557af3532bd63f44eea43f1e1553ef81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005880", "prompt": "What is -5865 * 4122?", "solution_steps": ["Multiply: -5865 * 4122 = -24175530"], "final_answer": "-24175530", "answer_type": "integer", "kind": "expression", "math_text": "-5865 * 4122", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5865, \"b\": 4122}", "seed": "9395817083806146894", "semantic_fingerprint": "sha256:576cc5d2c665f0e946fafcb712caa299299c10454cabf6e2a8a7c7486d482384", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005881", "prompt": "Solve for x: 14(x + 5905) - 2577 = 33(x - 13517)", "solution_steps": ["Expand: 14x + 82670 - 2577 = 33(x - 13517)", "Expand: 14x + 82670 - 2577 = 33x - 446061", "Combine constants: 14x + 80093 = 33x - 446061", "Subtract 33x from both sides: -19x + 80093 = -446061", "Subtract 80093 from both sides: -19x = -526154", "Divide both sides by -19: x = 526154/19"], "final_answer": "526154/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x + 5905) - 2577 = 33(x - 13517)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5905, \"c\": 2577, \"d\": 33, \"e\": 13517}", "seed": "4901443436969857734", "semantic_fingerprint": "sha256:5dc1c4a1765289e537930b98f3dd5d320af70982df3f9e6d9b60fab90b76a252", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005882", "prompt": "What value of x satisfies 13x = 35(x + 8105)?", "solution_steps": ["Expand: 13x = 35x + 283675", "Subtract 35x from both sides: -22x = 283675", "Divide both sides by -22: x = -283675/22"], "final_answer": "-283675/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = 35(x + 8105)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 35, \"c\": 8105}", "seed": "13525975969611209108", "semantic_fingerprint": "sha256:45d3d704c45c071bfcef86d8f77e658eaf7a3251e98396ee462085384ee36478", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005883", "prompt": "Evaluate: 47008 - (-6244 - 3971)", "solution_steps": ["Subtract: -6244 - 3971 = -10215", "Subtract: 47008 - (-10215) = 57223"], "final_answer": "57223", "answer_type": "integer", "kind": "expression", "math_text": "47008 - (-6244 - 3971)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 47008, \"b\": -6244, \"c\": 3971}", "seed": "12946307530492527309", "semantic_fingerprint": "sha256:4b03856b7a31c0951e546d3a9432e073f317185fd4e25a33bf3f794773e75623", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005884", "prompt": "Evaluate: -6098 + (-2454)", "solution_steps": ["Add: -6098 + (-2454) = -8552"], "final_answer": "-8552", "answer_type": "integer", "kind": "expression", "math_text": "-6098 + (-2454)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6098, \"b\": -2454}", "seed": "11182474545497101412", "semantic_fingerprint": "sha256:22eb0b1daf27e1208706db3816122f3b22f134f01bf9105acb05c6e6a5be2bd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005885", "prompt": "Find x: x = -32(x + 52338)", "solution_steps": ["Expand: x = -32x - 1674816", "Add 32x to both sides: 33x = -1674816", "Divide both sides by 33: x = -50752"], "final_answer": "-50752", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -32(x + 52338)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 52338}", "seed": "5913442586031963347", "semantic_fingerprint": "sha256:5b9b21b3ece1692a9c67eab6eee01f75489a713bed4ae3aec3db2fc8c2742b11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005886", "prompt": "Find x: 20x + 96708 = 26(x - 6491)", "solution_steps": ["Expand: 20x + 96708 = 26x - 168766", "Subtract 26x from both sides: -6x + 96708 = -168766", "Subtract 96708 from both sides: -6x = -265474", "Divide both sides by -6: x = 132737/3"], "final_answer": "132737/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "20x + 96708 = 26(x - 6491)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 96708, \"c\": 26, \"d\": 6491}", "seed": "14537145052279343530", "semantic_fingerprint": "sha256:ed43909bcaec17c7917471a8b9551c95482020ad13bac8f4294a25c670ede87d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005887", "prompt": "Calculate: (-88996 + (-78820)) / 83184", "solution_steps": ["Add: -88996 + (-78820) = -167816", "Divide: -167816 / 83184 = -20977/10398"], "final_answer": "-20977/10398", "answer_type": "rational", "kind": "expression", "math_text": "(-88996 + (-78820)) / 83184", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88996, \"b\": -78820, \"c\": 83184}", "seed": "16547364522371876122", "semantic_fingerprint": "sha256:8c7bfd305a4c9b6020256bad16c95440a7cb5e2ec43ed80850283bdc4e796c61", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005888", "prompt": "Evaluate: -3843 - 52931", "solution_steps": ["Subtract: -3843 - 52931 = -56774"], "final_answer": "-56774", "answer_type": "integer", "kind": "expression", "math_text": "-3843 - 52931", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3843, \"b\": 52931}", "seed": "4166288341814752659", "semantic_fingerprint": "sha256:0195f2ddae56d4e91a54597318daa90b07ebcbd4a0edc8adc1c332f795884833", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005889", "prompt": "Evaluate: 7848 + 55743 / (-9537) - (-3779)", "solution_steps": ["Divide: 55743 / (-9537) = -1093/187", "Add: 7848 + (-1093/187) = 1466483/187", "Subtract: 1466483/187 - (-3779) = 2173156/187"], "final_answer": "2173156/187", "answer_type": "rational", "kind": "expression", "math_text": "7848 + 55743 / (-9537) - (-3779)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7848, \"b\": 55743, \"c\": -9537, \"d\": -3779}", "seed": "1246580994108323263", "semantic_fingerprint": "sha256:d1c9b419726310bea12e01461c050a68e9089d890d82c4dc2139468286faf143", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005890", "prompt": "Solve the equation x + 26886 = 14(x + 1848) for x.", "solution_steps": ["Expand: x + 26886 = 14x + 25872", "Subtract 14x from both sides: -13x + 26886 = 25872", "Subtract 26886 from both sides: -13x = -1014", "Divide both sides by -13: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 26886 = 14(x + 1848)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 1848, \"d\": 26886, \"x\": 78}", "seed": "8227640021999456109", "semantic_fingerprint": "sha256:206e249b6f654d08e31810723183da04aafc80f671bb72411cf16fff8cba5924", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005891", "prompt": "Evaluate: -3978 - (-39870) - (-75141)", "solution_steps": ["Subtract: -3978 - (-39870) = 35892", "Subtract: 35892 - (-75141) = 111033"], "final_answer": "111033", "answer_type": "integer", "kind": "expression", "math_text": "-3978 - (-39870) - (-75141)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3978, \"b\": -39870, \"c\": -75141}", "seed": "1591095929531942225", "semantic_fingerprint": "sha256:c09b850dfefa50241102c5696aedc62ecc88a1988367e89dc11b04b0b6a1dede", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005892", "prompt": "Solve for x: 25x - 5173 = x - 1649", "solution_steps": ["Subtract x from both sides: 24x - 5173 = -1649", "Add 5173 to both sides: 24x = 3524", "Divide both sides by 24: x = 881/6"], "final_answer": "881/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x - 5173 = x - 1649", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 5173, \"c\": 1649}", "seed": "4861708421168290552", "semantic_fingerprint": "sha256:e229b232288976433023c9acd1e6992b32a9747d8aa89a341e2d7d2bbb09a2ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005893", "prompt": "Evaluate: (-48510 + 44764) * (-3675) + (-3898) * 68898", "solution_steps": ["Add: -48510 + 44764 = -3746", "Multiply: -3746 * (-3675) = 13766550", "Multiply: -3898 * 68898 = -268564404", "Add: 13766550 + (-268564404) = -254797854"], "final_answer": "-254797854", "answer_type": "integer", "kind": "expression", "math_text": "(-48510 + 44764) * (-3675) + (-3898) * 68898", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -48510, \"b\": 44764, \"c\": -3675, \"d\": -3898, \"e\": 68898}", "seed": "14589232495308881497", "semantic_fingerprint": "sha256:1fc544ce14966c961670fe91d328afc69310a335779cd3f457ab93bf52e13094", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005894", "prompt": "Calculate: -9780 - (-5250) - 97604", "solution_steps": ["Subtract: -9780 - (-5250) = -4530", "Subtract: -4530 - 97604 = -102134"], "final_answer": "-102134", "answer_type": "integer", "kind": "expression", "math_text": "-9780 - (-5250) - 97604", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9780, \"b\": -5250, \"c\": 97604}", "seed": "6683089631482847138", "semantic_fingerprint": "sha256:8664ebdfddbe663c56737473670ce64f58498eca12b74e628c24be134ada5232", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005895", "prompt": "Solve the equation 26(x + 2068) - 1843 = 28(x - 3289) + 7255 for x.", "solution_steps": ["Expand: 26x + 53768 - 1843 = 28(x - 3289) + 7255", "Expand: 26x + 53768 - 1843 = 28x - 92092 + 7255", "Combine constants: 26x + 51925 = 28x - 92092 + 7255", "Combine constants: 26x + 51925 = 28x - 84837", "Subtract 28x from both sides: -2x + 51925 = -84837", "Subtract 51925 from both sides: -2x = -136762", "Divide both sides by -2: x = 68381"], "final_answer": "68381", "answer_type": "integer", "kind": "linear_equation", "math_text": "26(x + 2068) - 1843 = 28(x - 3289) + 7255", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 2068, \"c\": 1843, \"d\": 28, \"e\": 3289, \"f\": 7255}", "seed": "10822493525250799677", "semantic_fingerprint": "sha256:5c019a24d163a58d685d98345482f2a13d35f607451c246baf83465a9f1ee33c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005896", "prompt": "Compute: 1244 / 77389 + (-58525 - (-1507)) + (-1351)", "solution_steps": ["Divide: 1244 / 77389 = 1244/77389", "Subtract: -58525 - (-1507) = -57018", "Add: 1244/77389 + (-57018) = -4412564758/77389", "Add: -4412564758/77389 + (-1351) = -4517117297/77389"], "final_answer": "-4517117297/77389", "answer_type": "rational", "kind": "expression", "math_text": "1244 / 77389 + (-58525 - (-1507)) + (-1351)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1244, \"b\": 77389, \"c\": -58525, \"d\": -1507, \"e\": -1351}", "seed": "6004214102040820073", "semantic_fingerprint": "sha256:a6b4ccdc80ebb0354aaae86a8c9fe79c64eba93c5753badfbe1ce7ab8c95a019", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005897", "prompt": "Compute: (-6780 + 3671 * 2888) * 1843", "solution_steps": ["Multiply: 3671 * 2888 = 10601848", "Add: -6780 + 10601848 = 10595068", "Multiply: 10595068 * 1843 = 19526710324"], "final_answer": "19526710324", "answer_type": "integer", "kind": "expression", "math_text": "(-6780 + 3671 * 2888) * 1843", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6780, \"b\": 3671, \"c\": 2888, \"d\": 1843}", "seed": "2976016281297001344", "semantic_fingerprint": "sha256:233f3bcb726324b59e28e5f69b23cdcbe476657c006eb409454169c8b52f4148", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005898", "prompt": "Compute: -8957 * (91283 - (-72450))", "solution_steps": ["Subtract: 91283 - (-72450) = 163733", "Multiply: -8957 * 163733 = -1466556481"], "final_answer": "-1466556481", "answer_type": "integer", "kind": "expression", "math_text": "-8957 * (91283 - (-72450))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8957, \"b\": 91283, \"c\": -72450}", "seed": "14872225486661139045", "semantic_fingerprint": "sha256:d7021ff305d49fca09c8812d07c4b5b4f050e3857032f08b7d8259b691cf7f01", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005899", "prompt": "What value of x satisfies 39x + 55945 = 26(x + 2546) - 11928?", "solution_steps": ["Expand: 39x + 55945 = 26x + 66196 - 11928", "Combine constants: 39x + 55945 = 26x + 54268", "Subtract 26x from both sides: 13x + 55945 = 54268", "Subtract 55945 from both sides: 13x = -1677", "Divide both sides by 13: x = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "linear_equation", "math_text": "39x + 55945 = 26(x + 2546) - 11928", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 55945, \"c\": 26, \"d\": 2546, \"f\": -11928, \"x\": -129}", "seed": "9922684409186516797", "semantic_fingerprint": "sha256:d53979ae0c81c65b69a8c73fd4890be77294be93cf6c982e580ac023870b2737", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005900", "prompt": "Evaluate: (-26495 - (4917 + 80307)) / (-8635)", "solution_steps": ["Add: 4917 + 80307 = 85224", "Subtract: -26495 - 85224 = -111719", "Divide: -111719 / (-8635) = 111719/8635"], "final_answer": "111719/8635", "answer_type": "rational", "kind": "expression", "math_text": "(-26495 - (4917 + 80307)) / (-8635)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26495, \"b\": 4917, \"c\": 80307, \"d\": -8635}", "seed": "10053763742567276949", "semantic_fingerprint": "sha256:533cb0d7e0143838c5583ce8464bca7580d5b11fa7e3010523486917f4fd464e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005901", "prompt": "Solve for x: x + 3575 = 22x", "solution_steps": ["Subtract 22x from both sides: -21x + 3575 = 0", "Subtract 3575 from both sides: -21x = -3575", "Divide both sides by -21: x = 3575/21"], "final_answer": "3575/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3575 = 22x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3575, \"b\": 22}", "seed": "14108383433714208254", "semantic_fingerprint": "sha256:c743b4e4d48d0bb96110deea2b153712c7683266c15cd70a6262f69d60e20557", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005902", "prompt": "What is -99890 * (-9317 + (-5017)) / (-5552)?", "solution_steps": ["Add: -9317 + (-5017) = -14334", "Multiply: -99890 * (-14334) = 1431823260", "Divide: 1431823260 / (-5552) = -357955815/1388"], "final_answer": "-357955815/1388", "answer_type": "rational", "kind": "expression", "math_text": "-99890 * (-9317 + (-5017)) / (-5552)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -99890, \"b\": -9317, \"c\": -5017, \"d\": -5552}", "seed": "4578964443024702344", "semantic_fingerprint": "sha256:edbd3cc879d7733cfa96c4169fd171d6e362c8e0a5981275937c545cfa6726bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005903", "prompt": "What value of x satisfies 34x + 8164 = -18x?", "solution_steps": ["Add 18x to both sides: 52x + 8164 = 0", "Subtract 8164 from both sides: 52x = -8164", "Divide both sides by 52: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x + 8164 = -18x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": -18, \"d\": 8164, \"x\": -157}", "seed": "2844278623054041051", "semantic_fingerprint": "sha256:00e50474af51b231a35aff530abc52cfb282f14b82eac270ec40ab4cab70d2bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005904", "prompt": "Solve for x: -13(x - 59049) = x - 95672", "solution_steps": ["Expand: -13x + 767637 = x - 95672", "Subtract x from both sides: -14x + 767637 = -95672", "Subtract 767637 from both sides: -14x = -863309", "Divide both sides by -14: x = 863309/14"], "final_answer": "863309/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x - 59049) = x - 95672", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 59049, \"c\": 95672}", "seed": "10406716546306055390", "semantic_fingerprint": "sha256:1d1ac08ce4242a386684691e5dc5e909fd9faa699b187d5f45e9ba99098c93d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005905", "prompt": "What is 7134 - 8120?", "solution_steps": ["Subtract: 7134 - 8120 = -986"], "final_answer": "-986", "answer_type": "integer", "kind": "expression", "math_text": "7134 - 8120", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7134, \"b\": 8120}", "seed": "1695369233221836544", "semantic_fingerprint": "sha256:afe86ac9a74f2c363bfc13c938beb328164c32c0372b3d2a039ce6906602f9a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005906", "prompt": "Calculate: (7559 + (-11532)) * (-2619 - (-9346)) + (-27413)", "solution_steps": ["Add: 7559 + (-11532) = -3973", "Subtract: -2619 - (-9346) = 6727", "Multiply: -3973 * 6727 = -26726371", "Add: -26726371 + (-27413) = -26753784"], "final_answer": "-26753784", "answer_type": "integer", "kind": "expression", "math_text": "(7559 + (-11532)) * (-2619 - (-9346)) + (-27413)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7559, \"b\": -11532, \"c\": -2619, \"d\": -9346, \"e\": -27413}", "seed": "8919734217467835703", "semantic_fingerprint": "sha256:7d432257603ff2807715ef9005c246917871c9ca44f4dc385c4717f073500600", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005907", "prompt": "Solve the equation x + 12715 = 12558 for x.", "solution_steps": ["Subtract 12715 from both sides: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 12715 = 12558", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 12715, \"c\": 12558, \"x\": -157}", "seed": "18202172832954576885", "semantic_fingerprint": "sha256:40aedacf7b614e4642651a2251a3ae1c81d96fe0106f92e26adb07f297208cf8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005908", "prompt": "Compute: 4236 * 6815", "solution_steps": ["Multiply: 4236 * 6815 = 28868340"], "final_answer": "28868340", "answer_type": "integer", "kind": "expression", "math_text": "4236 * 6815", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4236, \"b\": 6815}", "seed": "7339250496390282817", "semantic_fingerprint": "sha256:d880552d57209006dfec0a1af62c7fd34bc548fc483bd76d9070a6e2c1db7ca6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005909", "prompt": "Compute: -2843 + (1966 + (-63951)) + 59700", "solution_steps": ["Add: 1966 + (-63951) = -61985", "Add: -2843 + (-61985) = -64828", "Add: -64828 + 59700 = -5128"], "final_answer": "-5128", "answer_type": "integer", "kind": "expression", "math_text": "-2843 + (1966 + (-63951)) + 59700", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2843, \"b\": 1966, \"c\": -63951, \"d\": 59700}", "seed": "6032047035791178804", "semantic_fingerprint": "sha256:af16b6f900a35680a21f0c016edd39270f37a302d6a67fd020ef34887cdb537c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005910", "prompt": "Evaluate: 20733 / 8917 - (-3430)", "solution_steps": ["Divide: 20733 / 8917 = 20733/8917", "Subtract: 20733/8917 - (-3430) = 30606043/8917"], "final_answer": "30606043/8917", "answer_type": "rational", "kind": "expression", "math_text": "20733 / 8917 - (-3430)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20733, \"b\": 8917, \"c\": -3430}", "seed": "13779023139435941645", "semantic_fingerprint": "sha256:6f642c1713963df8c26c9e9696162faeb914b1abbcfa4dc309f99ab5c8e1702d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005911", "prompt": "Solve the equation 14(x - 75382) - 9728 = 23(x + 4380) - 5256 for x.", "solution_steps": ["Expand: 14x - 1055348 - 9728 = 23(x + 4380) - 5256", "Expand: 14x - 1055348 - 9728 = 23x + 100740 - 5256", "Combine constants: 14x - 1065076 = 23x + 100740 - 5256", "Combine constants: 14x - 1065076 = 23x + 95484", "Subtract 23x from both sides: -9x - 1065076 = 95484", "Add 1065076 to both sides: -9x = 1160560", "Divide both sides by -9: x = -1160560/9"], "final_answer": "-1160560/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 75382) - 9728 = 23(x + 4380) - 5256", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 75382, \"c\": 9728, \"d\": 23, \"e\": 4380, \"f\": 5256}", "seed": "14909326209906058295", "semantic_fingerprint": "sha256:bbd7d74dc0cf75f7cc23fae8f80781417eb3a674da5d50b6a32e334eff6b8555", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005912", "prompt": "Solve the equation -15(x - 4151) - 78781 = -14926 for x.", "solution_steps": ["Expand: -15x + 62265 - 78781 = -14926", "Combine constants: -15x - 16516 = -14926", "Add 16516 to both sides: -15x = 1590", "Divide both sides by -15: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15(x - 4151) - 78781 = -14926", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 4151, \"c\": 78781, \"e\": -14926, \"x\": -106}", "seed": "12710577837627367492", "semantic_fingerprint": "sha256:3639979a7dfeeced83b0e537d882d7c54827e059d093683ccdf3923f57c9e25e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005913", "prompt": "Solve for x: x = 13(x + 6901)", "solution_steps": ["Expand: x = 13x + 89713", "Subtract 13x from both sides: -12x = 89713", "Divide both sides by -12: x = -89713/12"], "final_answer": "-89713/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 13(x + 6901)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 6901}", "seed": "7816026003016248544", "semantic_fingerprint": "sha256:82552745129d8b955388a198f18197580d26643c6a2c4edec9a862f7491eedd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005914", "prompt": "Calculate: 6793 * (-9304)", "solution_steps": ["Multiply: 6793 * (-9304) = -63202072"], "final_answer": "-63202072", "answer_type": "integer", "kind": "expression", "math_text": "6793 * (-9304)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6793, \"b\": -9304}", "seed": "9425186974276401084", "semantic_fingerprint": "sha256:80579d2ba4720ccdb364f7a6a9978b01672072cf4a278955cb5b5468d4042f81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005915", "prompt": "Solve for x: 20x + 3154 = x", "solution_steps": ["Subtract x from both sides: 19x + 3154 = 0", "Subtract 3154 from both sides: 19x = -3154", "Divide both sides by 19: x = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 3154 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 3154, \"x\": -166}", "seed": "8295026937733567089", "semantic_fingerprint": "sha256:26944c880e43ea396cb5322554b656c7f531817d17c959554ec943d57e7eaa7b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005916", "prompt": "Solve for x: 15(x + 9620) = x - 4565", "solution_steps": ["Expand: 15x + 144300 = x - 4565", "Subtract x from both sides: 14x + 144300 = -4565", "Subtract 144300 from both sides: 14x = -148865", "Divide both sides by 14: x = -148865/14"], "final_answer": "-148865/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "15(x + 9620) = x - 4565", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 9620, \"c\": 4565}", "seed": "9127656015381960244", "semantic_fingerprint": "sha256:63ab429cc655292e941417f71f2a44f6184f19abc68848b2c4058dda9c12d819", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005917", "prompt": "Evaluate: 5599 * (-50210)", "solution_steps": ["Multiply: 5599 * (-50210) = -281125790"], "final_answer": "-281125790", "answer_type": "integer", "kind": "expression", "math_text": "5599 * (-50210)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5599, \"b\": -50210}", "seed": "1978756660368591811", "semantic_fingerprint": "sha256:990d4e1a87f08e5d089caffc511760dcf7e9a07c3feae105344c2db723e9d995", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005918", "prompt": "Calculate: 5742 - (-8954 / 25045 - 67120)", "solution_steps": ["Divide: -8954 / 25045 = -8954/25045", "Subtract: -8954/25045 - 67120 = -1681029354/25045", "Subtract: 5742 - (-1681029354/25045) = 1824837744/25045"], "final_answer": "1824837744/25045", "answer_type": "rational", "kind": "expression", "math_text": "5742 - (-8954 / 25045 - 67120)", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5742, \"b\": -8954, \"c\": 25045, \"d\": 67120}", "seed": "179545300143210742", "semantic_fingerprint": "sha256:855ea50f3fee2b36a9a5c054de5563577ed866814c730226cfaff8fb910495db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005919", "prompt": "Evaluate: 9604 / 7294 * (-5902) + (-1680)", "solution_steps": ["Divide: 9604 / 7294 = 686/521", "Multiply: (686/521) * (-5902) = -4048772/521", "Add: -4048772/521 + (-1680) = -4924052/521"], "final_answer": "-4924052/521", "answer_type": "rational", "kind": "expression", "math_text": "9604 / 7294 * (-5902) + (-1680)", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9604, \"b\": 7294, \"c\": -5902, \"d\": -1680}", "seed": "10498031197251118385", "semantic_fingerprint": "sha256:2e92a3ee141740e9a431396dea2c84d0379926ea6f65c0d4c74af378837910c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005920", "prompt": "Evaluate: 6773 / (33636 / (-36155))", "solution_steps": ["Divide: 33636 / (-36155) = -33636/36155", "Divide: 6773 / (-33636/36155) = -244877815/33636"], "final_answer": "-244877815/33636", "answer_type": "rational", "kind": "expression", "math_text": "6773 / (33636 / (-36155))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6773, \"b\": 33636, \"c\": -36155}", "seed": "16468166407202822484", "semantic_fingerprint": "sha256:fd64d6d9b57ef7851e9edaef70316364f926ab080af199add1d0b058abc44656", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005921", "prompt": "Compute: -7659 * (15464 / (-55824))", "solution_steps": ["Divide: 15464 / (-55824) = -1933/6978", "Multiply: -7659 * (-1933/6978) = 4934949/2326"], "final_answer": "4934949/2326", "answer_type": "rational", "kind": "expression", "math_text": "-7659 * (15464 / (-55824))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7659, \"b\": 15464, \"c\": -55824}", "seed": "8609196724929551345", "semantic_fingerprint": "sha256:669e3848994febdd2790308a6d6d52e59b0b7bf2c145d541ea50c0acb42458ae", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005922", "prompt": "Evaluate: -95829 / (2625 + (-11448 + (-8058)) - 8114)", "solution_steps": ["Add: -11448 + (-8058) = -19506", "Add: 2625 + (-19506) = -16881", "Subtract: -16881 - 8114 = -24995", "Divide: -95829 / (-24995) = 95829/24995"], "final_answer": "95829/24995", "answer_type": "rational", "kind": "expression", "math_text": "-95829 / (2625 + (-11448 + (-8058)) - 8114)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n (+ n n)) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -95829, \"b\": 2625, \"c\": -11448, \"d\": -8058, \"e\": 8114}", "seed": "12566132715210652305", "semantic_fingerprint": "sha256:0f932693ca48a83cb640b1a8aebe852031eebaf4a9690799ee57ae78ea81bf86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005923", "prompt": "Solve the equation 28x = -14(x - 39317) for x.", "solution_steps": ["Expand: 28x = -14x + 550438", "Add 14x to both sides: 42x = 550438", "Divide both sides by 42: x = 39317/3"], "final_answer": "39317/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "28x = -14(x - 39317)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": -14, \"c\": 39317}", "seed": "1702233527442916971", "semantic_fingerprint": "sha256:4363441134a00fb04cf63cd20e33a6f31ea92a25a1f10b99bb1848c753552009", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005924", "prompt": "Calculate: 1091 / (-9715)", "solution_steps": ["Divide: 1091 / (-9715) = -1091/9715"], "final_answer": "-1091/9715", "answer_type": "rational", "kind": "expression", "math_text": "1091 / (-9715)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1091, \"b\": -9715}", "seed": "16772855739013849841", "semantic_fingerprint": "sha256:b743a7743f65a16ab58ef56212f8e4c3b85b0e30695139d99aa469e090a3e1bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005925", "prompt": "Solve for x: x + 3471 = -32x - 2007", "solution_steps": ["Add 32x to both sides: 33x + 3471 = -2007", "Subtract 3471 from both sides: 33x = -5478", "Divide both sides by 33: x = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3471 = -32x - 2007", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3471, \"b\": -32, \"d\": -2007, \"x\": -166}", "seed": "3889897773325136000", "semantic_fingerprint": "sha256:3e5f8f34a8a2d8296ecb49196b3d93b83dcb6b7150920c060409589b1027daac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005926", "prompt": "What is 36278 * 32617 / 48682 + 74819?", "solution_steps": ["Multiply: 36278 * 32617 = 1183279526", "Divide: 1183279526 / 48682 = 591639763/24341", "Add: 591639763/24341 + 74819 = 2412809042/24341"], "final_answer": "2412809042/24341", "answer_type": "rational", "kind": "expression", "math_text": "36278 * 32617 / 48682 + 74819", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 36278, \"b\": 32617, \"c\": 48682, \"d\": 74819}", "seed": "4171116650188621567", "semantic_fingerprint": "sha256:6059d392935d78631e5b0727a041ac84d147f78e5a9643e8f1f7bb20ec5ff34b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005927", "prompt": "Solve the equation 26x + 3158 = x + 6960 for x.", "solution_steps": ["Subtract x from both sides: 25x + 3158 = 6960", "Subtract 3158 from both sides: 25x = 3802", "Divide both sides by 25: x = 3802/25"], "final_answer": "3802/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 3158 = x + 6960", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 3158, \"c\": 6960}", "seed": "203389877116978431", "semantic_fingerprint": "sha256:40a442b24b2794efefbb1765f1ceeb435dbf85bf201dd1105788693b06d40074", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005928", "prompt": "Find x: 32x + 1971 = 3379", "solution_steps": ["Subtract 1971 from both sides: 32x = 1408", "Divide both sides by 32: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 1971 = 3379", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1971, \"d\": 3379, \"x\": 44}", "seed": "5919595159538737149", "semantic_fingerprint": "sha256:d90e656c6f6c3c4ebd696e51a3153e5e575879c29824bd3ec35c64da4743d7cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005929", "prompt": "What is (3138 - (-4427)) * (23418 + 2467)?", "solution_steps": ["Subtract: 3138 - (-4427) = 7565", "Add: 23418 + 2467 = 25885", "Multiply: 7565 * 25885 = 195820025"], "final_answer": "195820025", "answer_type": "integer", "kind": "expression", "math_text": "(3138 - (-4427)) * (23418 + 2467)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3138, \"b\": -4427, \"c\": 23418, \"d\": 2467}", "seed": "1931476282789274569", "semantic_fingerprint": "sha256:8352afb15f49eb3e788c5abb04dcc1623d0d8d2b6d585347af279b6dd1cad88b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005930", "prompt": "What is -26663 / (-5575 / (-4684))?", "solution_steps": ["Divide: -5575 / (-4684) = 5575/4684", "Divide: -26663 / (5575/4684) = -124889492/5575"], "final_answer": "-124889492/5575", "answer_type": "rational", "kind": "expression", "math_text": "-26663 / (-5575 / (-4684))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26663, \"b\": -5575, \"c\": -4684}", "seed": "7998427569610718713", "semantic_fingerprint": "sha256:2760b2af31acccd67a6b05ca79895c4be9c57f1376cf3150dfbea97739927171", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005931", "prompt": "Evaluate: -6867 + (-7399) + 3002", "solution_steps": ["Add: -6867 + (-7399) = -14266", "Add: -14266 + 3002 = -11264"], "final_answer": "-11264", "answer_type": "integer", "kind": "expression", "math_text": "-6867 + (-7399) + 3002", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6867, \"b\": -7399, \"c\": 3002}", "seed": "13063051038588141208", "semantic_fingerprint": "sha256:05103655b8e85b13e6bac6cff8f5674dfc8e728e6ca4cedd3204996319cb8d4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005932", "prompt": "What is (88535 + (-3474)) / (-79480 - 6281)?", "solution_steps": ["Add: 88535 + (-3474) = 85061", "Subtract: -79480 - 6281 = -85761", "Divide: 85061 / (-85761) = -85061/85761"], "final_answer": "-85061/85761", "answer_type": "rational", "kind": "expression", "math_text": "(88535 + (-3474)) / (-79480 - 6281)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 88535, \"b\": -3474, \"c\": -79480, \"d\": 6281}", "seed": "14080005738643776543", "semantic_fingerprint": "sha256:f1c71975747581b749d4babc3c818dbec67d5815cb4726ab95b219a26fe124e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005933", "prompt": "Evaluate: 76514 / (2154 + (9703 + (-2435)))", "solution_steps": ["Add: 9703 + (-2435) = 7268", "Add: 2154 + 7268 = 9422", "Divide: 76514 / 9422 = 38257/4711"], "final_answer": "38257/4711", "answer_type": "rational", "kind": "expression", "math_text": "76514 / (2154 + (9703 + (-2435)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 76514, \"b\": 2154, \"c\": 9703, \"d\": -2435}", "seed": "12280994319703498070", "semantic_fingerprint": "sha256:74f3d09bcf5c4a302883bc3aaa0ed7478e86a08d9bb7f6dd38c0b0a9192051d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005934", "prompt": "Calculate: -6329 / (-2825 + 99627)", "solution_steps": ["Add: -2825 + 99627 = 96802", "Divide: -6329 / 96802 = -6329/96802"], "final_answer": "-6329/96802", "answer_type": "rational", "kind": "expression", "math_text": "-6329 / (-2825 + 99627)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6329, \"b\": -2825, \"c\": 99627}", "seed": "7592667057614530982", "semantic_fingerprint": "sha256:7dec5fb7bfedb3ce9d6f9549621a30f8acb4afc56e61776a9a76247e8a46dab9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005935", "prompt": "Compute: (7706 + (-74385)) / 3330", "solution_steps": ["Add: 7706 + (-74385) = -66679", "Divide: -66679 / 3330 = -66679/3330"], "final_answer": "-66679/3330", "answer_type": "rational", "kind": "expression", "math_text": "(7706 + (-74385)) / 3330", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7706, \"b\": -74385, \"c\": 3330}", "seed": "858084416772921871", "semantic_fingerprint": "sha256:c077200bed54ac1d2656e94719e07d16e5b286b448df428634e7bd9306782add", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005936", "prompt": "What is 88777 / 6523?", "solution_steps": ["Divide: 88777 / 6523 = 88777/6523"], "final_answer": "88777/6523", "answer_type": "rational", "kind": "expression", "math_text": "88777 / 6523", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88777, \"b\": 6523}", "seed": "738455380689328511", "semantic_fingerprint": "sha256:efec65997ac54be94566a16c1ca49f7f2c6fcc0668a5f1520e7f4f5b5253127f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005937", "prompt": "Solve for x: 38(x + 4975) + 84062 = 36(x + 7590)", "solution_steps": ["Expand: 38x + 189050 + 84062 = 36(x + 7590)", "Expand: 38x + 189050 + 84062 = 36x + 273240", "Combine constants: 38x + 273112 = 36x + 273240", "Subtract 36x from both sides: 2x + 273112 = 273240", "Subtract 273112 from both sides: 2x = 128", "Divide both sides by 2: x = 64"], "final_answer": "64", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x + 4975) + 84062 = 36(x + 7590)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 4975, \"c\": 36, \"d\": 7590, \"f\": 84062, \"x\": 64}", "seed": "7481115368874955965", "semantic_fingerprint": "sha256:7129e4219ea00c3b23920ced48089fa0512733f994105616779416c7d0bd9b20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005938", "prompt": "Solve the equation -19x + 59276 = x + 61356 for x.", "solution_steps": ["Subtract x from both sides: -20x + 59276 = 61356", "Subtract 59276 from both sides: -20x = 2080", "Divide both sides by -20: x = -104"], "final_answer": "-104", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19x + 59276 = x + 61356", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 59276, \"d\": 61356, \"x\": -104}", "seed": "3559461500605550152", "semantic_fingerprint": "sha256:0d356cbc7de23782ad4f94c11eca4106f2d8eed4f54a77123f990c8e4136eee1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005939", "prompt": "What is 6351 - 39704?", "solution_steps": ["Subtract: 6351 - 39704 = -33353"], "final_answer": "-33353", "answer_type": "integer", "kind": "expression", "math_text": "6351 - 39704", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6351, \"b\": 39704}", "seed": "10839710723306013232", "semantic_fingerprint": "sha256:e2dd006e6e6316b7831f13f5ef0f721834cc946edc81e94a78fe2abc66122fc3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005940", "prompt": "Evaluate: 3513 + (-91823) / 5251", "solution_steps": ["Divide: -91823 / 5251 = -91823/5251", "Add: 3513 + (-91823/5251) = 18354940/5251"], "final_answer": "18354940/5251", "answer_type": "rational", "kind": "expression", "math_text": "3513 + (-91823) / 5251", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3513, \"b\": -91823, \"c\": 5251}", "seed": "1272889092217914232", "semantic_fingerprint": "sha256:fec09b406279e4c11011a66b6ae8871aaf40c4241bb49c4e8846afd98546106d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005941", "prompt": "Compute: 41351 * (-3488) - (-1528) / (-3056)", "solution_steps": ["Multiply: 41351 * (-3488) = -144232288", "Divide: -1528 / (-3056) = 1/2", "Subtract: -144232288 - 1/2 = -288464577/2"], "final_answer": "-288464577/2", "answer_type": "rational", "kind": "expression", "math_text": "41351 * (-3488) - (-1528) / (-3056)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 41351, \"b\": -3488, \"c\": -1528, \"d\": -3056}", "seed": "5005486569235213563", "semantic_fingerprint": "sha256:505a62ae061e95301e66fc4ecc3947d023a601b4f699f3b2918ae5c27d0bb1ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005942", "prompt": "Solve the equation 19x = 13(x - 4292) for x.", "solution_steps": ["Expand: 19x = 13x - 55796", "Subtract 13x from both sides: 6x = -55796", "Divide both sides by 6: x = -27898/3"], "final_answer": "-27898/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "19x = 13(x - 4292)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 13, \"c\": 4292}", "seed": "7102492098254333271", "semantic_fingerprint": "sha256:a5ce32d771dc59374ce84e81815e74b733f115f6945049ff879dee8160f87dcb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005943", "prompt": "Compute: 39994 / (-41528)", "solution_steps": ["Divide: 39994 / (-41528) = -19997/20764"], "final_answer": "-19997/20764", "answer_type": "rational", "kind": "expression", "math_text": "39994 / (-41528)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 39994, \"b\": -41528}", "seed": "6596121528676299226", "semantic_fingerprint": "sha256:efefa55c59e83bdd8f368d7659028e697bd534dcce3341fe0f89c2bfef53665a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005944", "prompt": "Compute: -4942 * (-9017 / (-1590))", "solution_steps": ["Divide: -9017 / (-1590) = 9017/1590", "Multiply: -4942 * (9017/1590) = -22281007/795"], "final_answer": "-22281007/795", "answer_type": "rational", "kind": "expression", "math_text": "-4942 * (-9017 / (-1590))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4942, \"b\": -9017, \"c\": -1590}", "seed": "12764889643922546983", "semantic_fingerprint": "sha256:1076109eaaefe6d328ce82c3f83e404bff8810731d7e5371ff03d1e4ba2cc5d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005945", "prompt": "Solve the equation -35x = -20(x - 2954) for x.", "solution_steps": ["Expand: -35x = -20x + 59080", "Add 20x to both sides: -15x = 59080", "Divide both sides by -15: x = -11816/3"], "final_answer": "-11816/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35x = -20(x - 2954)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": -20, \"c\": 2954}", "seed": "13294379833716429400", "semantic_fingerprint": "sha256:86bf915a0fa3971ceef5b62cc4a83e9f468887ba4a737ad81f959ab61109f7a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005946", "prompt": "Compute: 85127 / 90196", "solution_steps": ["Divide: 85127 / 90196 = 85127/90196"], "final_answer": "85127/90196", "answer_type": "rational", "kind": "expression", "math_text": "85127 / 90196", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85127, \"b\": 90196}", "seed": "282505080922897428", "semantic_fingerprint": "sha256:3c087165f27b2c16cf35c5f785600c73037f79b494f098f93f39c1eae49b1054", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005947", "prompt": "Compute: -89438 + (1035 + 23914 * (1741 + (6770 - 5271)))", "solution_steps": ["Subtract: 6770 - 5271 = 1499", "Add: 1741 + 1499 = 3240", "Multiply: 23914 * 3240 = 77481360", "Add: 1035 + 77481360 = 77482395", "Add: -89438 + 77482395 = 77392957"], "final_answer": "77392957", "answer_type": "integer", "kind": "expression", "math_text": "-89438 + (1035 + 23914 * (1741 + (6770 - 5271)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (* n (+ n (- n n)))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -89438, \"b\": 1035, \"c\": 23914, \"d\": 1741, \"e\": 6770, \"f\": 5271}", "seed": "3780030889791280322", "semantic_fingerprint": "sha256:66d0b2937a90d93673e79595a0c91f3124fd849ce9cab6df4ed043b2903d9de9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005948", "prompt": "Evaluate: (61077 * (-4948) + (-57893)) / 6609", "solution_steps": ["Multiply: 61077 * (-4948) = -302208996", "Add: -302208996 + (-57893) = -302266889", "Divide: -302266889 / 6609 = -302266889/6609"], "final_answer": "-302266889/6609", "answer_type": "rational", "kind": "expression", "math_text": "(61077 * (-4948) + (-57893)) / 6609", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61077, \"b\": -4948, \"c\": -57893, \"d\": 6609}", "seed": "4105951362269316608", "semantic_fingerprint": "sha256:312982c057a8d23cf6e7dff0321dbfe5704989d12ce4f927d4fe5452444f9f8d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005949", "prompt": "What is -67896 * (-21872)?", "solution_steps": ["Multiply: -67896 * (-21872) = 1485021312"], "final_answer": "1485021312", "answer_type": "integer", "kind": "expression", "math_text": "-67896 * (-21872)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -67896, \"b\": -21872}", "seed": "8271137290412766005", "semantic_fingerprint": "sha256:6678e0e8fae6eefb45d38a0f91ddaca8c3468a5dcd289afa4188613639e0ec78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005950", "prompt": "Calculate: 6856 / (-80879)", "solution_steps": ["Divide: 6856 / (-80879) = -6856/80879"], "final_answer": "-6856/80879", "answer_type": "rational", "kind": "expression", "math_text": "6856 / (-80879)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6856, \"b\": -80879}", "seed": "11041624494477151738", "semantic_fingerprint": "sha256:4b26e0acbb394175f8600a3ffe696b0bed2034ca4005f42ad577fa2184321490", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005951", "prompt": "Evaluate: -8203 / 6559 + (-1569 + (-2352) * (-48695 - (-7923)))", "solution_steps": ["Divide: -8203 / 6559 = -8203/6559", "Subtract: -48695 - (-7923) = -40772", "Multiply: -2352 * (-40772) = 95895744", "Add: -1569 + 95895744 = 95894175", "Add: -8203/6559 + 95894175 = 628969885622/6559"], "final_answer": "628969885622/6559", "answer_type": "rational", "kind": "expression", "math_text": "-8203 / 6559 + (-1569 + (-2352) * (-48695 - (-7923)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ n (* n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8203, \"b\": 6559, \"c\": -1569, \"d\": -2352, \"e\": -48695, \"f\": -7923}", "seed": "2413657397569762596", "semantic_fingerprint": "sha256:973eda8382bbf41ebd11ca21c42c6cc98e8524d3bedefb5d2832c16edf37a978", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005952", "prompt": "Solve the equation 35(x + 7147) - 8643 = 29x - 3742 for x.", "solution_steps": ["Expand: 35x + 250145 - 8643 = 29x - 3742", "Combine constants: 35x + 241502 = 29x - 3742", "Subtract 29x from both sides: 6x + 241502 = -3742", "Subtract 241502 from both sides: 6x = -245244", "Divide both sides by 6: x = -40874"], "final_answer": "-40874", "answer_type": "integer", "kind": "linear_equation", "math_text": "35(x + 7147) - 8643 = 29x - 3742", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 7147, \"c\": 8643, \"d\": 29, \"e\": 3742}", "seed": "3728426986844008281", "semantic_fingerprint": "sha256:46e8053239574b457498705f0519e9fd2e32c995398c449ce995f24d3356919c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005953", "prompt": "Calculate: -86468 + (3926 + 5695)", "solution_steps": ["Add: 3926 + 5695 = 9621", "Add: -86468 + 9621 = -76847"], "final_answer": "-76847", "answer_type": "integer", "kind": "expression", "math_text": "-86468 + (3926 + 5695)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86468, \"b\": 3926, \"c\": 5695}", "seed": "15476245872915066616", "semantic_fingerprint": "sha256:3bb5f10d284d3bfae638a09c047265853ba2bc416b55511ae51ec8a9963d1234", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005954", "prompt": "Evaluate: 38806 + (-6777 - 6559)", "solution_steps": ["Subtract: -6777 - 6559 = -13336", "Add: 38806 + (-13336) = 25470"], "final_answer": "25470", "answer_type": "integer", "kind": "expression", "math_text": "38806 + (-6777 - 6559)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38806, \"b\": -6777, \"c\": 6559}", "seed": "17294363931884156359", "semantic_fingerprint": "sha256:628a1a0afdd3ce44385f67dabf30e420294fbea90186c4cf13dfe857fccce760", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005955", "prompt": "Compute: (5923 + 6905 - 53093) * (9561 - (-1537))", "solution_steps": ["Add: 5923 + 6905 = 12828", "Subtract: 12828 - 53093 = -40265", "Subtract: 9561 - (-1537) = 11098", "Multiply: -40265 * 11098 = -446860970"], "final_answer": "-446860970", "answer_type": "integer", "kind": "expression", "math_text": "(5923 + 6905 - 53093) * (9561 - (-1537))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5923, \"b\": 6905, \"c\": 53093, \"d\": 9561, \"e\": -1537}", "seed": "10067260797802352501", "semantic_fingerprint": "sha256:6640be45c6d6899cfdc77646b663de1f0b7b1b12a5204c66cbda483815c79912", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005956", "prompt": "Find x: -35(x - 2384) = 26(x + 7717)", "solution_steps": ["Expand: -35x + 83440 = 26(x + 7717)", "Expand: -35x + 83440 = 26x + 200642", "Subtract 26x from both sides: -61x + 83440 = 200642", "Subtract 83440 from both sides: -61x = 117202", "Divide both sides by -61: x = -117202/61"], "final_answer": "-117202/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35(x - 2384) = 26(x + 7717)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 2384, \"c\": 26, \"d\": 7717}", "seed": "8700636967121338545", "semantic_fingerprint": "sha256:57dea8258a9e768eb4f737e08855d9141d6e64b53030758c9ca16020a0d54351", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005957", "prompt": "Evaluate: -2399 - 1229 + (-1449)", "solution_steps": ["Subtract: -2399 - 1229 = -3628", "Add: -3628 + (-1449) = -5077"], "final_answer": "-5077", "answer_type": "integer", "kind": "expression", "math_text": "-2399 - 1229 + (-1449)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2399, \"b\": 1229, \"c\": -1449}", "seed": "16064179122633808322", "semantic_fingerprint": "sha256:6eb9cfea42eb2a49b11196fb42a070eaeb46fce046db43a536c61a62dd31d03f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005958", "prompt": "What value of x satisfies 16(x - 5572) + 63814 = -25(x - 1164) + 3653?", "solution_steps": ["Expand: 16x - 89152 + 63814 = -25(x - 1164) + 3653", "Expand: 16x - 89152 + 63814 = -25x + 29100 + 3653", "Combine constants: 16x - 25338 = -25x + 29100 + 3653", "Combine constants: 16x - 25338 = -25x + 32753", "Add 25x to both sides: 41x - 25338 = 32753", "Add 25338 to both sides: 41x = 58091", "Divide both sides by 41: x = 58091/41"], "final_answer": "58091/41", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 5572) + 63814 = -25(x - 1164) + 3653", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5572, \"c\": 63814, \"d\": -25, \"e\": 1164, \"f\": 3653}", "seed": "18205021551545386158", "semantic_fingerprint": "sha256:12bbc5f27bbe6c27310a821211a71d3d529abdda9729ed67c7a96dec296fb88a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005959", "prompt": "Calculate: -53533 * (4143 - 8457)", "solution_steps": ["Subtract: 4143 - 8457 = -4314", "Multiply: -53533 * (-4314) = 230941362"], "final_answer": "230941362", "answer_type": "integer", "kind": "expression", "math_text": "-53533 * (4143 - 8457)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53533, \"b\": 4143, \"c\": 8457}", "seed": "2989228535228258160", "semantic_fingerprint": "sha256:4393adcb859e421101f8a1e29da2c47432e865b9ee281e77fd0b469c65274142", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005960", "prompt": "Calculate: (3641 + (-44096) * (-2092)) / (-3521)", "solution_steps": ["Multiply: -44096 * (-2092) = 92248832", "Add: 3641 + 92248832 = 92252473", "Divide: 92252473 / (-3521) = -92252473/3521"], "final_answer": "-92252473/3521", "answer_type": "rational", "kind": "expression", "math_text": "(3641 + (-44096) * (-2092)) / (-3521)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3641, \"b\": -44096, \"c\": -2092, \"d\": -3521}", "seed": "15971783990180335323", "semantic_fingerprint": "sha256:b549ff43253d976e72b0b388ad8d6d09d71c231c68c0f46dcdd909adb8e8a9c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005961", "prompt": "Compute: 7259 + (-6582)", "solution_steps": ["Add: 7259 + (-6582) = 677"], "final_answer": "677", "answer_type": "integer", "kind": "expression", "math_text": "7259 + (-6582)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7259, \"b\": -6582}", "seed": "9329905758014270779", "semantic_fingerprint": "sha256:f710eee10b2c1c0eb7b9c6fe9f667aa0b803980bd497fe8fba25d24f5855a00e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005962", "prompt": "Evaluate: 5349 + (5438 + (-1122))", "solution_steps": ["Add: 5438 + (-1122) = 4316", "Add: 5349 + 4316 = 9665"], "final_answer": "9665", "answer_type": "integer", "kind": "expression", "math_text": "5349 + (5438 + (-1122))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5349, \"b\": 5438, \"c\": -1122}", "seed": "2543493265131778003", "semantic_fingerprint": "sha256:b23171093d701327aa26607e55a1c35e15ab4a851c0bbf176806d7128eff4d4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005963", "prompt": "What value of x satisfies 28(x + 74999) = 32x?", "solution_steps": ["Expand: 28x + 2099972 = 32x", "Subtract 32x from both sides: -4x + 2099972 = 0", "Subtract 2099972 from both sides: -4x = -2099972", "Divide both sides by -4: x = 524993"], "final_answer": "524993", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 74999) = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 74999, \"c\": 32}", "seed": "6290176832421125396", "semantic_fingerprint": "sha256:20324fcd3ee4f1fa7c211309269d099ca3269fc074d1a36ce02b0bfd7504a331", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005964", "prompt": "What is -2795 + 31780 * (-26700)?", "solution_steps": ["Multiply: 31780 * (-26700) = -848526000", "Add: -2795 + (-848526000) = -848528795"], "final_answer": "-848528795", "answer_type": "integer", "kind": "expression", "math_text": "-2795 + 31780 * (-26700)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2795, \"b\": 31780, \"c\": -26700}", "seed": "7928681292708990573", "semantic_fingerprint": "sha256:560b27393aca19faef4eb82e57818bf249f7b99b91f1c16e29d1a018a5e2c018", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005965", "prompt": "Compute: 8041 + (-8020 - (3325 - 2845 * 6580))", "solution_steps": ["Multiply: 2845 * 6580 = 18720100", "Subtract: 3325 - 18720100 = -18716775", "Subtract: -8020 - (-18716775) = 18708755", "Add: 8041 + 18708755 = 18716796"], "final_answer": "18716796", "answer_type": "integer", "kind": "expression", "math_text": "8041 + (-8020 - (3325 - 2845 * 6580))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- n (* n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8041, \"b\": -8020, \"c\": 3325, \"d\": 2845, \"e\": 6580}", "seed": "6440637931923887555", "semantic_fingerprint": "sha256:ecfd0d59cb0c578166b22c50b7820c9cbad47dd9907a2556d4e739a22a51b1a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005966", "prompt": "What is -6356 * ((45868 + (-5480)) / (-6744))?", "solution_steps": ["Add: 45868 + (-5480) = 40388", "Divide: 40388 / (-6744) = -10097/1686", "Multiply: -6356 * (-10097/1686) = 32088266/843"], "final_answer": "32088266/843", "answer_type": "rational", "kind": "expression", "math_text": "-6356 * ((45868 + (-5480)) / (-6744))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6356, \"b\": 45868, \"c\": -5480, \"d\": -6744}", "seed": "3982725933071201564", "semantic_fingerprint": "sha256:40d72c0a7510c73b485c850b85b16364f5b76cddc1aa0072129e621992de22e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005967", "prompt": "What is 17182 / (-71408) - (2727 - 4190)?", "solution_steps": ["Divide: 17182 / (-71408) = -8591/35704", "Subtract: 2727 - 4190 = -1463", "Subtract: -8591/35704 - (-1463) = 52226361/35704"], "final_answer": "52226361/35704", "answer_type": "rational", "kind": "expression", "math_text": "17182 / (-71408) - (2727 - 4190)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17182, \"b\": -71408, \"c\": 2727, \"d\": 4190}", "seed": "1566535884165679798", "semantic_fingerprint": "sha256:c082e9e66adb6941acaa4eec10b5632c8a3081f0278e70a8d5bc89db2cf9fba3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005968", "prompt": "Solve the equation -13(x + 6353) = x for x.", "solution_steps": ["Expand: -13x - 82589 = x", "Subtract x from both sides: -14x - 82589 = 0", "Add 82589 to both sides: -14x = 82589", "Divide both sides by -14: x = -82589/14"], "final_answer": "-82589/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x + 6353) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 6353}", "seed": "16306976345286479638", "semantic_fingerprint": "sha256:00dc8af548a8fed24bc1fc25283cfa2bf3d0a19e12b0ccfc98bd4de3b303c9e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005969", "prompt": "Solve for x: x = 33(x - 56888)", "solution_steps": ["Expand: x = 33x - 1877304", "Subtract 33x from both sides: -32x = -1877304", "Divide both sides by -32: x = 234663/4"], "final_answer": "234663/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 33(x - 56888)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 56888}", "seed": "7742042614619720870", "semantic_fingerprint": "sha256:b512f77820e305b3b4987b5c2620fdf07b4a2ee88339a35d091df50d5df83837", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005970", "prompt": "Find x: x - 3009 = -33(x + 6527) - 85327", "solution_steps": ["Expand: x - 3009 = -33x - 215391 - 85327", "Combine constants: x - 3009 = -33x - 300718", "Add 33x to both sides: 34x - 3009 = -300718", "Add 3009 to both sides: 34x = -297709", "Divide both sides by 34: x = -297709/34"], "final_answer": "-297709/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 3009 = -33(x + 6527) - 85327", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3009, \"b\": -33, \"c\": 6527, \"d\": 85327}", "seed": "5927701246381846015", "semantic_fingerprint": "sha256:134763d8e8462c701cd7cf95386d7ff472650c7f36642b8c7789fec66186f20c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005971", "prompt": "What is -7962 / 6595?", "solution_steps": ["Divide: -7962 / 6595 = -7962/6595"], "final_answer": "-7962/6595", "answer_type": "rational", "kind": "expression", "math_text": "-7962 / 6595", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7962, \"b\": 6595}", "seed": "11999015225842736288", "semantic_fingerprint": "sha256:80661ba2d1967dbde619a4cb0301410003d7cc79207889c49fed0d0734d5f62e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005972", "prompt": "Evaluate: -5052 - (-4038)", "solution_steps": ["Subtract: -5052 - (-4038) = -1014"], "final_answer": "-1014", "answer_type": "integer", "kind": "expression", "math_text": "-5052 - (-4038)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5052, \"b\": -4038}", "seed": "4312422169573784753", "semantic_fingerprint": "sha256:433ffae03d7c59b815e42bb48404eea5e2bc28e0d3363ddcf5954a12b9d6b88a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005973", "prompt": "Evaluate: -5573 / (-4871)", "solution_steps": ["Divide: -5573 / (-4871) = 5573/4871"], "final_answer": "5573/4871", "answer_type": "rational", "kind": "expression", "math_text": "-5573 / (-4871)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5573, \"b\": -4871}", "seed": "14327666152333905122", "semantic_fingerprint": "sha256:c5d217ad31226d902139a2e1e73c7cc3cba5ae97ca20dbba0bb2b6b21df3625c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005974", "prompt": "What value of x satisfies 20(x - 8826) + 2399 = 25(x - 54724) - 16108?", "solution_steps": ["Expand: 20x - 176520 + 2399 = 25(x - 54724) - 16108", "Expand: 20x - 176520 + 2399 = 25x - 1368100 - 16108", "Combine constants: 20x - 174121 = 25x - 1368100 - 16108", "Combine constants: 20x - 174121 = 25x - 1384208", "Subtract 25x from both sides: -5x - 174121 = -1384208", "Add 174121 to both sides: -5x = -1210087", "Divide both sides by -5: x = 1210087/5"], "final_answer": "1210087/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "20(x - 8826) + 2399 = 25(x - 54724) - 16108", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 8826, \"c\": 2399, \"d\": 25, \"e\": 54724, \"f\": 16108}", "seed": "13886687348379417768", "semantic_fingerprint": "sha256:58761f065440a5fe94166a2596055d93863fa1d028e11ce154706e1b5362d20f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005975", "prompt": "Find x: 17x + 24892 = -40(x - 64617) + 2681", "solution_steps": ["Expand: 17x + 24892 = -40x + 2584680 + 2681", "Combine constants: 17x + 24892 = -40x + 2587361", "Add 40x to both sides: 57x + 24892 = 2587361", "Subtract 24892 from both sides: 57x = 2562469", "Divide both sides by 57: x = 2562469/57"], "final_answer": "2562469/57", "answer_type": "rational", "kind": "linear_equation", "math_text": "17x + 24892 = -40(x - 64617) + 2681", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 24892, \"c\": -40, \"d\": 64617, \"e\": 2681}", "seed": "2180603286056848052", "semantic_fingerprint": "sha256:62609bee0841c96d6719f8f419295e3187543971d68214cc645f0299d1e9d60c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005976", "prompt": "What is -2477 / (6352 - 49754) + (-94185 + (-8945))?", "solution_steps": ["Subtract: 6352 - 49754 = -43402", "Divide: -2477 / (-43402) = 2477/43402", "Add: -94185 + (-8945) = -103130", "Add: 2477/43402 + (-103130) = -4476045783/43402"], "final_answer": "-4476045783/43402", "answer_type": "rational", "kind": "expression", "math_text": "-2477 / (6352 - 49754) + (-94185 + (-8945))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2477, \"b\": 6352, \"c\": 49754, \"d\": -94185, \"e\": -8945}", "seed": "12565539361130634990", "semantic_fingerprint": "sha256:a00273878408fe6bac83c2e94dfe3431581677be150fe45933ea55467eae3625", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005977", "prompt": "Evaluate: 22785 * 5187 / 34582", "solution_steps": ["Multiply: 22785 * 5187 = 118185795", "Divide: 118185795 / 34582 = 118185795/34582"], "final_answer": "118185795/34582", "answer_type": "rational", "kind": "expression", "math_text": "22785 * 5187 / 34582", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22785, \"b\": 5187, \"c\": 34582}", "seed": "16612104304295021659", "semantic_fingerprint": "sha256:5cfd6c298e089ffc613362cf5fa6aac5c0f8fe0129dcd7e87d3d520f8f8abff9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005978", "prompt": "Calculate: -5718 * 63631 / (7466 - 35011)", "solution_steps": ["Multiply: -5718 * 63631 = -363842058", "Subtract: 7466 - 35011 = -27545", "Divide: -363842058 / (-27545) = 363842058/27545"], "final_answer": "363842058/27545", "answer_type": "rational", "kind": "expression", "math_text": "-5718 * 63631 / (7466 - 35011)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5718, \"b\": 63631, \"c\": 7466, \"d\": 35011}", "seed": "2067564939216799116", "semantic_fingerprint": "sha256:91f2b4256a3ed9487659ae9ac944d553c218ecdc72e39c67fb6be2a351e93287", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005979", "prompt": "Solve for x: 37x - 94852 = x - 95932", "solution_steps": ["Subtract x from both sides: 36x - 94852 = -95932", "Add 94852 to both sides: 36x = -1080", "Divide both sides by 36: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x - 94852 = x - 95932", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 94852, \"d\": -95932, \"x\": -30}", "seed": "12485188304205119242", "semantic_fingerprint": "sha256:9844eb1f429058d1a8eb599c177b34474b0989f4e003f816683384914f741666", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005980", "prompt": "Evaluate: -2794 + (51581 + 5717)", "solution_steps": ["Add: 51581 + 5717 = 57298", "Add: -2794 + 57298 = 54504"], "final_answer": "54504", "answer_type": "integer", "kind": "expression", "math_text": "-2794 + (51581 + 5717)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2794, \"b\": 51581, \"c\": 5717}", "seed": "12494284021415670558", "semantic_fingerprint": "sha256:565358af8b44d3f8af29ac5f84bf388c65d026c5eb806d0d4f1566e3d02c82fc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005981", "prompt": "Calculate: (-51613 - (-8638)) * (-9092)", "solution_steps": ["Subtract: -51613 - (-8638) = -42975", "Multiply: -42975 * (-9092) = 390728700"], "final_answer": "390728700", "answer_type": "integer", "kind": "expression", "math_text": "(-51613 - (-8638)) * (-9092)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -51613, \"b\": -8638, \"c\": -9092}", "seed": "11463883070226188816", "semantic_fingerprint": "sha256:67fd39725f2e5940a37eff47a932259f71818619ac1228ae2ba0052cdd4ee79f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005982", "prompt": "What is 47532 - 3423?", "solution_steps": ["Subtract: 47532 - 3423 = 44109"], "final_answer": "44109", "answer_type": "integer", "kind": "expression", "math_text": "47532 - 3423", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 47532, \"b\": 3423}", "seed": "7586280244239741725", "semantic_fingerprint": "sha256:60b2129b662fb38ed7c1819f0fe797728628f0965cbfdd081290e50461d56027", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005983", "prompt": "Compute: (-53712 + 20484) * (-59408)", "solution_steps": ["Add: -53712 + 20484 = -33228", "Multiply: -33228 * (-59408) = 1974009024"], "final_answer": "1974009024", "answer_type": "integer", "kind": "expression", "math_text": "(-53712 + 20484) * (-59408)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53712, \"b\": 20484, \"c\": -59408}", "seed": "7984175457937002297", "semantic_fingerprint": "sha256:5e9a57dfca5143058769e1da005befbbdde64385277bce49f0d6cd713f17e3de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005984", "prompt": "What is 8834 * 1235?", "solution_steps": ["Multiply: 8834 * 1235 = 10909990"], "final_answer": "10909990", "answer_type": "integer", "kind": "expression", "math_text": "8834 * 1235", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8834, \"b\": 1235}", "seed": "14040006374235582968", "semantic_fingerprint": "sha256:d36abecc489e269d3bbac61d04b90303b9acd2130b116657dbebc2be4687bdfa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005985", "prompt": "Compute: (-5911 - (-32983) + 31167) * (-3131 + 7381)", "solution_steps": ["Subtract: -5911 - (-32983) = 27072", "Add: 27072 + 31167 = 58239", "Add: -3131 + 7381 = 4250", "Multiply: 58239 * 4250 = 247515750"], "final_answer": "247515750", "answer_type": "integer", "kind": "expression", "math_text": "(-5911 - (-32983) + 31167) * (-3131 + 7381)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5911, \"b\": -32983, \"c\": 31167, \"d\": -3131, \"e\": 7381}", "seed": "176866903416693198", "semantic_fingerprint": "sha256:1e7f55460f0485b78155dc76306d57a59738c2073e097a1354d6444faf1c13b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005986", "prompt": "Find x: -20(x + 78799) = 27(x + 31767)", "solution_steps": ["Expand: -20x - 1575980 = 27(x + 31767)", "Expand: -20x - 1575980 = 27x + 857709", "Subtract 27x from both sides: -47x - 1575980 = 857709", "Add 1575980 to both sides: -47x = 2433689", "Divide both sides by -47: x = -2433689/47"], "final_answer": "-2433689/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x + 78799) = 27(x + 31767)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 78799, \"c\": 27, \"d\": 31767}", "seed": "5338939769468866644", "semantic_fingerprint": "sha256:7e2f0b00b83026dceae83995b30fc6f21bd88b44b4d627d508acd96dded3adc4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005987", "prompt": "Evaluate: 8757 * (-7973)", "solution_steps": ["Multiply: 8757 * (-7973) = -69819561"], "final_answer": "-69819561", "answer_type": "integer", "kind": "expression", "math_text": "8757 * (-7973)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8757, \"b\": -7973}", "seed": "1204925683329527058", "semantic_fingerprint": "sha256:6bca0430194d044823821cbe0632c77a9ab71f6f6509dbf7db48b2ec711fc935", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005988", "prompt": "Find x: 18(x + 2544) - 2726 = 17x + 42874", "solution_steps": ["Expand: 18x + 45792 - 2726 = 17x + 42874", "Combine constants: 18x + 43066 = 17x + 42874", "Subtract 17x from both sides: x + 43066 = 42874", "Subtract 43066 from both sides: x = -192"], "final_answer": "-192", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 2544) - 2726 = 17x + 42874", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2544, \"c\": 2726, \"d\": 17, \"f\": 42874, \"x\": -192}", "seed": "1780892151160143008", "semantic_fingerprint": "sha256:f0f1272ca26be1b87ab23f72ba4838be8c65bd7d6c40136f384a591bc760c14e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005989", "prompt": "Evaluate: -9104 + (-2661) - 46585", "solution_steps": ["Add: -9104 + (-2661) = -11765", "Subtract: -11765 - 46585 = -58350"], "final_answer": "-58350", "answer_type": "integer", "kind": "expression", "math_text": "-9104 + (-2661) - 46585", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9104, \"b\": -2661, \"c\": 46585}", "seed": "14202973348281172298", "semantic_fingerprint": "sha256:655e9e868117b437b50837126599aa55ec7e3364bc07a36ff29f2c33ec2a397d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005990", "prompt": "Calculate: (4033 - 9427) / (-7607 - 3615)", "solution_steps": ["Subtract: 4033 - 9427 = -5394", "Subtract: -7607 - 3615 = -11222", "Divide: -5394 / (-11222) = 87/181"], "final_answer": "87/181", "answer_type": "rational", "kind": "expression", "math_text": "(4033 - 9427) / (-7607 - 3615)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4033, \"b\": 9427, \"c\": -7607, \"d\": 3615}", "seed": "11966860703293609624", "semantic_fingerprint": "sha256:12ee505aa2f173d9f3fbd55fbccdc2936f9f6b6cfb7c19aeb8bdbb01d20fe55e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005991", "prompt": "Calculate: -59031 / (-7682 + 4277 - (-92319))", "solution_steps": ["Add: -7682 + 4277 = -3405", "Subtract: -3405 - (-92319) = 88914", "Divide: -59031 / 88914 = -2811/4234"], "final_answer": "-2811/4234", "answer_type": "rational", "kind": "expression", "math_text": "-59031 / (-7682 + 4277 - (-92319))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -59031, \"b\": -7682, \"c\": 4277, \"d\": -92319}", "seed": "3118241330728172918", "semantic_fingerprint": "sha256:4bfbf06281128bebe8ee68068eddd0f2a8b7275786d09edf4415667b9ac41117", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005992", "prompt": "Compute: 3676 + (6225 - 5550 - 8066 / 5401)", "solution_steps": ["Subtract: 6225 - 5550 = 675", "Divide: 8066 / 5401 = 8066/5401", "Subtract: 675 - 8066/5401 = 3637609/5401", "Add: 3676 + 3637609/5401 = 23491685/5401"], "final_answer": "23491685/5401", "answer_type": "rational", "kind": "expression", "math_text": "3676 + (6225 - 5550 - 8066 / 5401)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3676, \"b\": 6225, \"c\": 5550, \"d\": 8066, \"e\": 5401}", "seed": "16570629022837897452", "semantic_fingerprint": "sha256:efdda2eacdb84d50d25dc104bcda679b0b5ad121161555f4b729fa77a2d6353c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005993", "prompt": "Solve for x: 23(x - 36666) = 33(x - 5301)", "solution_steps": ["Expand: 23x - 843318 = 33(x - 5301)", "Expand: 23x - 843318 = 33x - 174933", "Subtract 33x from both sides: -10x - 843318 = -174933", "Add 843318 to both sides: -10x = 668385", "Divide both sides by -10: x = -133677/2"], "final_answer": "-133677/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "23(x - 36666) = 33(x - 5301)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 36666, \"c\": 33, \"d\": 5301}", "seed": "3680581252425623325", "semantic_fingerprint": "sha256:fd7489cf307b6e09c32961e15bc1c2986852b1a69733fb4c937d46ef80ef5baa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005994", "prompt": "Solve the equation 13(x + 7800) + 44471 = -37x + 4551 for x.", "solution_steps": ["Expand: 13x + 101400 + 44471 = -37x + 4551", "Combine constants: 13x + 145871 = -37x + 4551", "Add 37x to both sides: 50x + 145871 = 4551", "Subtract 145871 from both sides: 50x = -141320", "Divide both sides by 50: x = -14132/5"], "final_answer": "-14132/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 7800) + 44471 = -37x + 4551", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7800, \"c\": 44471, \"d\": -37, \"e\": 4551}", "seed": "17852756337434157974", "semantic_fingerprint": "sha256:6a19dbecb21dcb8e30447bbc62932ec9d72920020c4b2f24c203cbcc79e9ac33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005995", "prompt": "Calculate: 3005 * (-7605)", "solution_steps": ["Multiply: 3005 * (-7605) = -22853025"], "final_answer": "-22853025", "answer_type": "integer", "kind": "expression", "math_text": "3005 * (-7605)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3005, \"b\": -7605}", "seed": "10766298770960225523", "semantic_fingerprint": "sha256:21f5801ed0b6b9aeb9a936fd6720cbcafe9445e30015be47deea9283ece6e836", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005996", "prompt": "What is -35772 / (-27450)?", "solution_steps": ["Divide: -35772 / (-27450) = 5962/4575"], "final_answer": "5962/4575", "answer_type": "rational", "kind": "expression", "math_text": "-35772 / (-27450)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35772, \"b\": -27450}", "seed": "3175697291024886135", "semantic_fingerprint": "sha256:c55e4ee36ee794a8e1e77caedb2f9f705e73862bdffa97ad5006d8b68ad157db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005997", "prompt": "Evaluate: -21855 / 8119 * (24323 - (-38795))", "solution_steps": ["Divide: -21855 / 8119 = -21855/8119", "Subtract: 24323 - (-38795) = 63118", "Multiply: (-21855/8119) * 63118 = -1379443890/8119"], "final_answer": "-1379443890/8119", "answer_type": "rational", "kind": "expression", "math_text": "-21855 / 8119 * (24323 - (-38795))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21855, \"b\": 8119, \"c\": 24323, \"d\": -38795}", "seed": "7616197700744409077", "semantic_fingerprint": "sha256:a74634cdfce8ce5e14a05f021cd91eabd3eb284aa40694647719f847bd726969", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005998", "prompt": "What is (5328 + 20053 - 4998) * 19085?", "solution_steps": ["Add: 5328 + 20053 = 25381", "Subtract: 25381 - 4998 = 20383", "Multiply: 20383 * 19085 = 389009555"], "final_answer": "389009555", "answer_type": "integer", "kind": "expression", "math_text": "(5328 + 20053 - 4998) * 19085", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5328, \"b\": 20053, \"c\": 4998, \"d\": 19085}", "seed": "890945433767129938", "semantic_fingerprint": "sha256:1bc3fc4cbcacdd10da9cea96bffb5383b2919b9ae3f0f64750acba7df700f57d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00005999", "prompt": "Calculate: -59318 + 83624 / (22426 + 4112)", "solution_steps": ["Add: 22426 + 4112 = 26538", "Divide: 83624 / 26538 = 41812/13269", "Add: -59318 + 41812/13269 = -787048730/13269"], "final_answer": "-787048730/13269", "answer_type": "rational", "kind": "expression", "math_text": "-59318 + 83624 / (22426 + 4112)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -59318, \"b\": 83624, \"c\": 22426, \"d\": 4112}", "seed": "1703755885704709987", "semantic_fingerprint": "sha256:c0d60f0caed0118509f96426f02a6d086503da5973d8c17d5752430472ba1da3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006000", "prompt": "Evaluate: -47384 * (-37854) - 8182", "solution_steps": ["Multiply: -47384 * (-37854) = 1793673936", "Subtract: 1793673936 - 8182 = 1793665754"], "final_answer": "1793665754", "answer_type": "integer", "kind": "expression", "math_text": "-47384 * (-37854) - 8182", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -47384, \"b\": -37854, \"c\": 8182}", "seed": "10820199526944384038", "semantic_fingerprint": "sha256:dbe483260f92a65ad97228ed9d3606b04093054c85f3aefb457be71b1dbd8941", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006001", "prompt": "Solve for x: -21x + 43964 = 39x + 34064", "solution_steps": ["Subtract 39x from both sides: -60x + 43964 = 34064", "Subtract 43964 from both sides: -60x = -9900", "Divide both sides by -60: x = 165"], "final_answer": "165", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x + 43964 = 39x + 34064", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 43964, \"c\": 39, \"e\": 34064, \"x\": 165}", "seed": "10282764186074187220", "semantic_fingerprint": "sha256:53ece9f52a3b487e49c8b9094c01854120e87bd9b1db717692828db88f5ec489", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006002", "prompt": "Solve for x: x - 56336 = 30x + 1802", "solution_steps": ["Subtract 30x from both sides: -29x - 56336 = 1802", "Add 56336 to both sides: -29x = 58138", "Divide both sides by -29: x = -58138/29"], "final_answer": "-58138/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 56336 = 30x + 1802", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 56336, \"b\": 30, \"c\": 1802}", "seed": "10438793061984871114", "semantic_fingerprint": "sha256:35292940b1cf292e86eb9a5bb7f138d75b02bea2f49dd3a1f55f5ee932781e23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006003", "prompt": "Solve for x: 35x + 2630 = 3470", "solution_steps": ["Subtract 2630 from both sides: 35x = 840", "Divide both sides by 35: x = 24"], "final_answer": "24", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 2630 = 3470", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 2630, \"d\": 3470, \"x\": 24}", "seed": "5569424522143513921", "semantic_fingerprint": "sha256:3ef8aaa55545a4c3d6d841a9a5f86a21192ee3b00056160ec1e924a414d47b6f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006004", "prompt": "Solve for x: 27(x + 48830) = 23x", "solution_steps": ["Expand: 27x + 1318410 = 23x", "Subtract 23x from both sides: 4x + 1318410 = 0", "Subtract 1318410 from both sides: 4x = -1318410", "Divide both sides by 4: x = -659205/2"], "final_answer": "-659205/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 48830) = 23x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 48830, \"c\": 23}", "seed": "6734174193390372272", "semantic_fingerprint": "sha256:190606c0a84d648f84724d4d981cdafbefcf787f4f59209f7375b5df9963dd65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006005", "prompt": "What is 2010 * 70970 / 55048?", "solution_steps": ["Multiply: 2010 * 70970 = 142649700", "Divide: 142649700 / 55048 = 35662425/13762"], "final_answer": "35662425/13762", "answer_type": "rational", "kind": "expression", "math_text": "2010 * 70970 / 55048", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2010, \"b\": 70970, \"c\": 55048}", "seed": "7474780655246614002", "semantic_fingerprint": "sha256:60d34275ac9b202b12c200caca39cd3570059510eea28bb26fed74b3f8028454", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006006", "prompt": "Calculate: -8265 / (2276 + (-93622))", "solution_steps": ["Add: 2276 + (-93622) = -91346", "Divide: -8265 / (-91346) = 8265/91346"], "final_answer": "8265/91346", "answer_type": "rational", "kind": "expression", "math_text": "-8265 / (2276 + (-93622))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8265, \"b\": 2276, \"c\": -93622}", "seed": "4631634091111944294", "semantic_fingerprint": "sha256:48d4b72e824813343d3446dc7d578371ed24be9b7226e9cdd28511af71105996", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006007", "prompt": "Evaluate: 3155 + (-40141)", "solution_steps": ["Add: 3155 + (-40141) = -36986"], "final_answer": "-36986", "answer_type": "integer", "kind": "expression", "math_text": "3155 + (-40141)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3155, \"b\": -40141}", "seed": "3779087353288589959", "semantic_fingerprint": "sha256:dc02b086701e73f0d6f9bf11d9074ecf5e5a6a1580fb51c384dd6791d73903d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006008", "prompt": "Evaluate: (83081 - 7551) / 5226", "solution_steps": ["Subtract: 83081 - 7551 = 75530", "Divide: 75530 / 5226 = 2905/201"], "final_answer": "2905/201", "answer_type": "rational", "kind": "expression", "math_text": "(83081 - 7551) / 5226", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 83081, \"b\": 7551, \"c\": 5226}", "seed": "716557218878214063", "semantic_fingerprint": "sha256:e7df6c757769dd8a5047d6c4b3584dff6a93d1030663efebbeb08b4cfb4a85d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006009", "prompt": "Solve for x: -39(x - 48501) - 42289 = 21(x + 91034) - 72424", "solution_steps": ["Expand: -39x + 1891539 - 42289 = 21(x + 91034) - 72424", "Expand: -39x + 1891539 - 42289 = 21x + 1911714 - 72424", "Combine constants: -39x + 1849250 = 21x + 1911714 - 72424", "Combine constants: -39x + 1849250 = 21x + 1839290", "Subtract 21x from both sides: -60x + 1849250 = 1839290", "Subtract 1849250 from both sides: -60x = -9960", "Divide both sides by -60: x = 166"], "final_answer": "166", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39(x - 48501) - 42289 = 21(x + 91034) - 72424", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 48501, \"c\": 42289, \"d\": 21, \"e\": 91034, \"g\": -72424, \"x\": 166}", "seed": "4893577856041664951", "semantic_fingerprint": "sha256:955988c0affa2367d4b3aa5bf3b6c2b0286adc626ca233e999b4994111e58adf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006010", "prompt": "Compute: 6578 + (-41987)", "solution_steps": ["Add: 6578 + (-41987) = -35409"], "final_answer": "-35409", "answer_type": "integer", "kind": "expression", "math_text": "6578 + (-41987)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6578, \"b\": -41987}", "seed": "8155089364720874261", "semantic_fingerprint": "sha256:1b8185f168768dece53ab4ce69d25d415e49600b0065c75d99bfae53269740f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006011", "prompt": "Evaluate: -4502 / (-4061) + (-3260)", "solution_steps": ["Divide: -4502 / (-4061) = 4502/4061", "Add: 4502/4061 + (-3260) = -13234358/4061"], "final_answer": "-13234358/4061", "answer_type": "rational", "kind": "expression", "math_text": "-4502 / (-4061) + (-3260)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4502, \"b\": -4061, \"c\": -3260}", "seed": "9579515559666755544", "semantic_fingerprint": "sha256:e49093b10e1feba4bcb413bac707fc32a0d5e605b9cc5020523abe76262ff7ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006012", "prompt": "Solve the equation 31(x + 3290) = x for x.", "solution_steps": ["Expand: 31x + 101990 = x", "Subtract x from both sides: 30x + 101990 = 0", "Subtract 101990 from both sides: 30x = -101990", "Divide both sides by 30: x = -10199/3"], "final_answer": "-10199/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 3290) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 3290}", "seed": "13501795752566692946", "semantic_fingerprint": "sha256:9f90795f29560e4647d426a69c2c753f8ec94b13368b4eb7ece70d91736ae39c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006013", "prompt": "Find x: x + 40555 = 14(x + 3063)", "solution_steps": ["Expand: x + 40555 = 14x + 42882", "Subtract 14x from both sides: -13x + 40555 = 42882", "Subtract 40555 from both sides: -13x = 2327", "Divide both sides by -13: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 40555 = 14(x + 3063)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 3063, \"d\": 40555, \"x\": -179}", "seed": "9378538630026035144", "semantic_fingerprint": "sha256:b4558eb5e68bad36d4948944b059f458fc49e6b7a637d162dce468d91398273c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006014", "prompt": "Compute: -4710 - (-50899) / 60279", "solution_steps": ["Divide: -50899 / 60279 = -50899/60279", "Subtract: -4710 - (-50899/60279) = -283863191/60279"], "final_answer": "-283863191/60279", "answer_type": "rational", "kind": "expression", "math_text": "-4710 - (-50899) / 60279", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4710, \"b\": -50899, \"c\": 60279}", "seed": "2989977318469920458", "semantic_fingerprint": "sha256:f95aa3e119aaa7aa612298e3fb9a08349f4203d61ef8a4e2acbdba5603757975", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006015", "prompt": "What is 4688 * 36795 - 70284 * 2734 / (-22804)?", "solution_steps": ["Multiply: 4688 * 36795 = 172494960", "Multiply: 70284 * 2734 = 192156456", "Divide: 192156456 / (-22804) = -48039114/5701", "Subtract: 172494960 - (-48039114/5701) = 983441806074/5701"], "final_answer": "983441806074/5701", "answer_type": "rational", "kind": "expression", "math_text": "4688 * 36795 - 70284 * 2734 / (-22804)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4688, \"b\": 36795, \"c\": 70284, \"d\": 2734, \"e\": -22804}", "seed": "1778787040905511316", "semantic_fingerprint": "sha256:1d488d7c4997903ee243f761a0b59169ee348da83282c8e818e02cb566519cd2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006016", "prompt": "Calculate: 1283 / 7915", "solution_steps": ["Divide: 1283 / 7915 = 1283/7915"], "final_answer": "1283/7915", "answer_type": "rational", "kind": "expression", "math_text": "1283 / 7915", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1283, \"b\": 7915}", "seed": "17897977496473307501", "semantic_fingerprint": "sha256:55603f691de47e2f64532e132492dc07cfbd1a0fffdb4aa581a5714ecae1e473", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006017", "prompt": "Calculate: -2657 + 72380 + 4921 + 5495 * 3270", "solution_steps": ["Add: -2657 + 72380 = 69723", "Add: 69723 + 4921 = 74644", "Multiply: 5495 * 3270 = 17968650", "Add: 74644 + 17968650 = 18043294"], "final_answer": "18043294", "answer_type": "integer", "kind": "expression", "math_text": "-2657 + 72380 + 4921 + 5495 * 3270", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2657, \"b\": 72380, \"c\": 4921, \"d\": 5495, \"e\": 3270}", "seed": "6763235290258771269", "semantic_fingerprint": "sha256:8dba8fb532db7bfffc9d00bb93ddb99ac5cb7072b7bd583216e779a21e17690f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006018", "prompt": "What is -60006 + (-46091) + (-23295 + (-79106))?", "solution_steps": ["Add: -60006 + (-46091) = -106097", "Add: -23295 + (-79106) = -102401", "Add: -106097 + (-102401) = -208498"], "final_answer": "-208498", "answer_type": "integer", "kind": "expression", "math_text": "-60006 + (-46091) + (-23295 + (-79106))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -60006, \"b\": -46091, \"c\": -23295, \"d\": -79106}", "seed": "7988462037361375099", "semantic_fingerprint": "sha256:e349e7d61bec776f36438c65be575dd415183bfb7aba974430d099b4e9473e7c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006019", "prompt": "Calculate: 8063 + 92150", "solution_steps": ["Add: 8063 + 92150 = 100213"], "final_answer": "100213", "answer_type": "integer", "kind": "expression", "math_text": "8063 + 92150", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8063, \"b\": 92150}", "seed": "3282269737058816977", "semantic_fingerprint": "sha256:20086492f09241611cb1b65310db4b4bac5ca4d732a90975a6e5ada8c30e16f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006020", "prompt": "Solve for x: 26x + 5921 = -28(x + 9050) - 63051", "solution_steps": ["Expand: 26x + 5921 = -28x - 253400 - 63051", "Combine constants: 26x + 5921 = -28x - 316451", "Add 28x to both sides: 54x + 5921 = -316451", "Subtract 5921 from both sides: 54x = -322372", "Divide both sides by 54: x = -161186/27"], "final_answer": "-161186/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "26x + 5921 = -28(x + 9050) - 63051", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 5921, \"c\": -28, \"d\": 9050, \"e\": 63051}", "seed": "4056676100350113626", "semantic_fingerprint": "sha256:c6e17a80a364a19eba75b4346b977c8e3b2da9b227802207fc38d54a95f18fe3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006021", "prompt": "What is -52799 * (6547 - 5304 + 46217 + (-9676 - (-9650)))?", "solution_steps": ["Subtract: 6547 - 5304 = 1243", "Add: 1243 + 46217 = 47460", "Subtract: -9676 - (-9650) = -26", "Add: 47460 + (-26) = 47434", "Multiply: -52799 * 47434 = -2504467766"], "final_answer": "-2504467766", "answer_type": "integer", "kind": "expression", "math_text": "-52799 * (6547 - 5304 + 46217 + (-9676 - (-9650)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ (- n n) n) (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -52799, \"b\": 6547, \"c\": 5304, \"d\": 46217, \"e\": -9676, \"f\": -9650}", "seed": "9318435763534391530", "semantic_fingerprint": "sha256:a78b51d6d4b7c56e7d088d749deb89920338cee3a2ce3cda7d1dd7220736ed11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006022", "prompt": "Find x: -38x - 83895 = x - 80736", "solution_steps": ["Subtract x from both sides: -39x - 83895 = -80736", "Add 83895 to both sides: -39x = 3159", "Divide both sides by -39: x = -81"], "final_answer": "-81", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x - 83895 = x - 80736", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 83895, \"d\": -80736, \"x\": -81}", "seed": "15644046011145207738", "semantic_fingerprint": "sha256:d3e567041f819013314bed829cfe60434ef91860a60124c057fe3235820f28ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006023", "prompt": "Compute: -5929 + 1309", "solution_steps": ["Add: -5929 + 1309 = -4620"], "final_answer": "-4620", "answer_type": "integer", "kind": "expression", "math_text": "-5929 + 1309", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5929, \"b\": 1309}", "seed": "15670873926609277622", "semantic_fingerprint": "sha256:961ba399a1bf9216322256e91c9276bde2eb83a3bcaedf0eed0d27550325acb5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006024", "prompt": "Calculate: -6414 / 4713", "solution_steps": ["Divide: -6414 / 4713 = -2138/1571"], "final_answer": "-2138/1571", "answer_type": "rational", "kind": "expression", "math_text": "-6414 / 4713", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6414, \"b\": 4713}", "seed": "12970246755314108291", "semantic_fingerprint": "sha256:fdbbbedc177042ad900ba81928f7c695869f3f05b9905b7824362575e94af9cb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006025", "prompt": "Evaluate: -11223 - 1115 - 25817", "solution_steps": ["Subtract: -11223 - 1115 = -12338", "Subtract: -12338 - 25817 = -38155"], "final_answer": "-38155", "answer_type": "integer", "kind": "expression", "math_text": "-11223 - 1115 - 25817", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -11223, \"b\": 1115, \"c\": 25817}", "seed": "4889777453756018140", "semantic_fingerprint": "sha256:4eac8bba67fda9e7982c8862e342973e258aee4398b9f8c219fa66e43db1f36f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006026", "prompt": "Compute: -4918 - 76723", "solution_steps": ["Subtract: -4918 - 76723 = -81641"], "final_answer": "-81641", "answer_type": "integer", "kind": "expression", "math_text": "-4918 - 76723", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -4918, \"b\": 76723}", "seed": "11890131843505561044", "semantic_fingerprint": "sha256:ea0dcd38d09d545308a333ffa80dc4ae067d118c784af8d3c604a3dbf9ca9735", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006027", "prompt": "Calculate: 8431 * (-7445 + 8659)", "solution_steps": ["Add: -7445 + 8659 = 1214", "Multiply: 8431 * 1214 = 10235234"], "final_answer": "10235234", "answer_type": "integer", "kind": "expression", "math_text": "8431 * (-7445 + 8659)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8431, \"b\": -7445, \"c\": 8659}", "seed": "15340544179707033704", "semantic_fingerprint": "sha256:ba1f0f4d85c6d8f565832d1611ff19b7c45c6027c7d32686bee58ce2157c3721", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006028", "prompt": "Find x: 35(x + 44870) - 18218 = -20(x - 30736) - 8563", "solution_steps": ["Expand: 35x + 1570450 - 18218 = -20(x - 30736) - 8563", "Expand: 35x + 1570450 - 18218 = -20x + 614720 - 8563", "Combine constants: 35x + 1552232 = -20x + 614720 - 8563", "Combine constants: 35x + 1552232 = -20x + 606157", "Add 20x to both sides: 55x + 1552232 = 606157", "Subtract 1552232 from both sides: 55x = -946075", "Divide both sides by 55: x = -189215/11"], "final_answer": "-189215/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 44870) - 18218 = -20(x - 30736) - 8563", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 44870, \"c\": 18218, \"d\": -20, \"e\": 30736, \"f\": 8563}", "seed": "696745942166236774", "semantic_fingerprint": "sha256:624dee931ec7e9fcc80bef3d3f4bd27159e04c8f09dde425cca85751c1763ac9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006029", "prompt": "What is 99602 - (-99245)?", "solution_steps": ["Subtract: 99602 - (-99245) = 198847"], "final_answer": "198847", "answer_type": "integer", "kind": "expression", "math_text": "99602 - (-99245)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 99602, \"b\": -99245}", "seed": "15800819922026342185", "semantic_fingerprint": "sha256:ed29dae2d68e64f5462a6e2b15c1dddefa744769996c64e3798547f461028c30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006030", "prompt": "Solve the equation 16x = 14(x + 1185) for x.", "solution_steps": ["Expand: 16x = 14x + 16590", "Subtract 14x from both sides: 2x = 16590", "Divide both sides by 2: x = 8295"], "final_answer": "8295", "answer_type": "integer", "kind": "linear_equation", "math_text": "16x = 14(x + 1185)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 14, \"c\": 1185}", "seed": "16565670859000409153", "semantic_fingerprint": "sha256:79ba48daed0929c747c0d50f68d479d11fca532352adfcc3bd808af3824d4766", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006031", "prompt": "Calculate: 7797 + 3504", "solution_steps": ["Add: 7797 + 3504 = 11301"], "final_answer": "11301", "answer_type": "integer", "kind": "expression", "math_text": "7797 + 3504", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7797, \"b\": 3504}", "seed": "12240611174913801704", "semantic_fingerprint": "sha256:d27aeec5e9a726a3e69ac7073e10dafa55fc655f1880704bd7cbb35793669d08", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006032", "prompt": "Find x: -18(x - 5205) - 89585 = 18x + 2089", "solution_steps": ["Expand: -18x + 93690 - 89585 = 18x + 2089", "Combine constants: -18x + 4105 = 18x + 2089", "Subtract 18x from both sides: -36x + 4105 = 2089", "Subtract 4105 from both sides: -36x = -2016", "Divide both sides by -36: x = 56"], "final_answer": "56", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x - 5205) - 89585 = 18x + 2089", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 5205, \"c\": 89585, \"d\": 18, \"f\": 2089, \"x\": 56}", "seed": "98896737520001360", "semantic_fingerprint": "sha256:649410dc1d6fd09474516e5ba56570014282f1accea95b7d654c7869a5d8f239", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006033", "prompt": "Evaluate: 3593 / 64625 * (1921 + (-5491))", "solution_steps": ["Divide: 3593 / 64625 = 3593/64625", "Add: 1921 + (-5491) = -3570", "Multiply: (3593/64625) * (-3570) = -2565402/12925"], "final_answer": "-2565402/12925", "answer_type": "rational", "kind": "expression", "math_text": "3593 / 64625 * (1921 + (-5491))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3593, \"b\": 64625, \"c\": 1921, \"d\": -5491}", "seed": "6622625874541089108", "semantic_fingerprint": "sha256:1eab0778dc16d4560bd687f7b735f9e1ac121ae01dc4a21d09d27f24d7dce542", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006034", "prompt": "Calculate: (-1130 + (-3662) * (-2966)) * 1719", "solution_steps": ["Multiply: -3662 * (-2966) = 10861492", "Add: -1130 + 10861492 = 10860362", "Multiply: 10860362 * 1719 = 18668962278"], "final_answer": "18668962278", "answer_type": "integer", "kind": "expression", "math_text": "(-1130 + (-3662) * (-2966)) * 1719", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1130, \"b\": -3662, \"c\": -2966, \"d\": 1719}", "seed": "1486796647541279371", "semantic_fingerprint": "sha256:701a467b229605cfa255f5579b5f1752c53f76e238d012b6e72c2e94b62bca23", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006035", "prompt": "What value of x satisfies 31x - 91130 = 21x + 49018?", "solution_steps": ["Subtract 21x from both sides: 10x - 91130 = 49018", "Add 91130 to both sides: 10x = 140148", "Divide both sides by 10: x = 70074/5"], "final_answer": "70074/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "31x - 91130 = 21x + 49018", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 91130, \"c\": 21, \"d\": 49018}", "seed": "8868137266719426001", "semantic_fingerprint": "sha256:7a8167d2d5568096e0b1eccf8876b4031551fd785909656b424561bf896ecf1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006036", "prompt": "Solve for x: x = -18x", "solution_steps": ["Add 18x to both sides: 19x = 0", "Divide both sides by 19: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -18x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18}", "seed": "13506387175779496649", "semantic_fingerprint": "sha256:de074bae21963e8b1afa2f9be544c20b79df7480799967f1ffb96b269f022020", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006037", "prompt": "What value of x satisfies x + 8219 = 19(x + 46910) + 89003?", "solution_steps": ["Expand: x + 8219 = 19x + 891290 + 89003", "Combine constants: x + 8219 = 19x + 980293", "Subtract 19x from both sides: -18x + 8219 = 980293", "Subtract 8219 from both sides: -18x = 972074", "Divide both sides by -18: x = -486037/9"], "final_answer": "-486037/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8219 = 19(x + 46910) + 89003", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8219, \"b\": 19, \"c\": 46910, \"d\": 89003}", "seed": "13784592156836699288", "semantic_fingerprint": "sha256:171569032c7c26af718f4df455a52f42272b23982cbcdd1fdce01238b36076f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006038", "prompt": "Calculate: -4357 / (-49137 + (-1376)) * (-16369)", "solution_steps": ["Add: -49137 + (-1376) = -50513", "Divide: -4357 / (-50513) = 4357/50513", "Multiply: (4357/50513) * (-16369) = -71319733/50513"], "final_answer": "-71319733/50513", "answer_type": "rational", "kind": "expression", "math_text": "-4357 / (-49137 + (-1376)) * (-16369)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4357, \"b\": -49137, \"c\": -1376, \"d\": -16369}", "seed": "10272704891394935214", "semantic_fingerprint": "sha256:ce273e5e554eb28e91752c83098b6d96d25f9e541a20dba3d2d2594e7049abd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006039", "prompt": "Solve the equation 34(x - 7033) - 4597 = x - 1574 for x.", "solution_steps": ["Expand: 34x - 239122 - 4597 = x - 1574", "Combine constants: 34x - 243719 = x - 1574", "Subtract x from both sides: 33x - 243719 = -1574", "Add 243719 to both sides: 33x = 242145", "Divide both sides by 33: x = 80715/11"], "final_answer": "80715/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 7033) - 4597 = x - 1574", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 7033, \"c\": 4597, \"d\": 1574}", "seed": "17631463154663155813", "semantic_fingerprint": "sha256:3b1d42a60ffdfe6355a3d75942a9254672d0291673851943f884a405c212ea18", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006040", "prompt": "Find x: 18(x - 2806) + 7066 = -45098", "solution_steps": ["Expand: 18x - 50508 + 7066 = -45098", "Combine constants: 18x - 43442 = -45098", "Add 43442 to both sides: 18x = -1656", "Divide both sides by 18: x = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x - 2806) + 7066 = -45098", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 2806, \"c\": 7066, \"e\": -45098, \"x\": -92}", "seed": "11436941988323362135", "semantic_fingerprint": "sha256:f12f5513f5bce29788386892b912e6d69a9ed8da14e21ebe27ffd05bc5813d13", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006041", "prompt": "What value of x satisfies 16(x + 7432) + 1202 = -19x?", "solution_steps": ["Expand: 16x + 118912 + 1202 = -19x", "Combine constants: 16x + 120114 = -19x", "Add 19x to both sides: 35x + 120114 = 0", "Subtract 120114 from both sides: 35x = -120114", "Divide both sides by 35: x = -120114/35"], "final_answer": "-120114/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x + 7432) + 1202 = -19x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 7432, \"c\": 1202, \"d\": -19}", "seed": "18298649421135318721", "semantic_fingerprint": "sha256:58d36ed1387b850dd7d34579362764b80c13c584fff901a36ff8dc1a4e8f0cac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006042", "prompt": "What value of x satisfies 37x - 51765 = x?", "solution_steps": ["Subtract x from both sides: 36x - 51765 = 0", "Add 51765 to both sides: 36x = 51765", "Divide both sides by 36: x = 17255/12"], "final_answer": "17255/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x - 51765 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 51765}", "seed": "18389596651559974734", "semantic_fingerprint": "sha256:e73ce9c6307d9b1efd7b3716810b25b54232abfc37a324b783e2ce6017c68d55", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006043", "prompt": "Compute: -4002 + 4727 + (-2621)", "solution_steps": ["Add: -4002 + 4727 = 725", "Add: 725 + (-2621) = -1896"], "final_answer": "-1896", "answer_type": "integer", "kind": "expression", "math_text": "-4002 + 4727 + (-2621)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4002, \"b\": 4727, \"c\": -2621}", "seed": "2269339590849323231", "semantic_fingerprint": "sha256:14f342702ea3f06a063fc92ab18a327bdeb5bdb599249837391bfceb66ab9925", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006044", "prompt": "What is 74015 * 88462 - (-5868) + (15775 + 93721)?", "solution_steps": ["Multiply: 74015 * 88462 = 6547514930", "Subtract: 6547514930 - (-5868) = 6547520798", "Add: 15775 + 93721 = 109496", "Add: 6547520798 + 109496 = 6547630294"], "final_answer": "6547630294", "answer_type": "integer", "kind": "expression", "math_text": "74015 * 88462 - (-5868) + (15775 + 93721)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 74015, \"b\": 88462, \"c\": -5868, \"d\": 15775, \"e\": 93721}", "seed": "5949872857900242579", "semantic_fingerprint": "sha256:5094de4396e0288ad726ef6b6893c944ecd58eea34064ed7fdce9e96f053c526", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006045", "prompt": "Evaluate: -22939 / (2825 + 35357)", "solution_steps": ["Add: 2825 + 35357 = 38182", "Divide: -22939 / 38182 = -22939/38182"], "final_answer": "-22939/38182", "answer_type": "rational", "kind": "expression", "math_text": "-22939 / (2825 + 35357)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22939, \"b\": 2825, \"c\": 35357}", "seed": "15709062756742633306", "semantic_fingerprint": "sha256:409fec0e9bc351703b17f3b78216cacd7027a9f907c26d5739d629f8a2aeea9b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006046", "prompt": "Calculate: 41985 / 40030", "solution_steps": ["Divide: 41985 / 40030 = 8397/8006"], "final_answer": "8397/8006", "answer_type": "rational", "kind": "expression", "math_text": "41985 / 40030", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41985, \"b\": 40030}", "seed": "3225908412272532857", "semantic_fingerprint": "sha256:c85db7b3ed880dcb9527462004b4817e3e3ee94b6fa6f74bac0b78cd3d929c87", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006047", "prompt": "Evaluate: 91835 / (15271 / 44422)", "solution_steps": ["Divide: 15271 / 44422 = 15271/44422", "Divide: 91835 / (15271/44422) = 4079494370/15271"], "final_answer": "4079494370/15271", "answer_type": "rational", "kind": "expression", "math_text": "91835 / (15271 / 44422)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 91835, \"b\": 15271, \"c\": 44422}", "seed": "10028756830960809324", "semantic_fingerprint": "sha256:b5faf01d8d565e4f67f79cbf77c0f11f70f0d930006b055496d6a4c8485c70e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006048", "prompt": "What is (2525 + (-1001) - (27777 - 61869)) * 95937?", "solution_steps": ["Add: 2525 + (-1001) = 1524", "Subtract: 27777 - 61869 = -34092", "Subtract: 1524 - (-34092) = 35616", "Multiply: 35616 * 95937 = 3416892192"], "final_answer": "3416892192", "answer_type": "integer", "kind": "expression", "math_text": "(2525 + (-1001) - (27777 - 61869)) * 95937", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2525, \"b\": -1001, \"c\": 27777, \"d\": 61869, \"e\": 95937}", "seed": "5129955800705715347", "semantic_fingerprint": "sha256:6aec2a74594a256f1d6306b672e09a83d846349059ba13572252ea1f67e896f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006049", "prompt": "What is -1304 * (4123 + (-77087))?", "solution_steps": ["Add: 4123 + (-77087) = -72964", "Multiply: -1304 * (-72964) = 95145056"], "final_answer": "95145056", "answer_type": "integer", "kind": "expression", "math_text": "-1304 * (4123 + (-77087))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1304, \"b\": 4123, \"c\": -77087}", "seed": "1189532989219338749", "semantic_fingerprint": "sha256:6dd80a5f39441ad1aac0ce482b4b52287b97cac0ebca9cf08ecedf26ac2d3d96", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006050", "prompt": "Find x: 28x = 35x - 1211", "solution_steps": ["Subtract 35x from both sides: -7x = -1211", "Divide both sides by -7: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x = 35x - 1211", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 35, \"d\": -1211, \"x\": 173}", "seed": "5349645736005124294", "semantic_fingerprint": "sha256:598f8d6a8de48676bdc73dd5c20a880b382ca2ce28d71a361ab8d318b2ecf31c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006051", "prompt": "Solve the equation 31x - 5809 = x - 3679 for x.", "solution_steps": ["Subtract x from both sides: 30x - 5809 = -3679", "Add 5809 to both sides: 30x = 2130", "Divide both sides by 30: x = 71"], "final_answer": "71", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x - 5809 = x - 3679", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 5809, \"d\": -3679, \"x\": 71}", "seed": "9388105766836592425", "semantic_fingerprint": "sha256:551f4cbc6e4245a9a543302629b18a67668b7579dc182e60aad3b95782caa2a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006052", "prompt": "Compute: -19433 / 3499 + (-5974)", "solution_steps": ["Divide: -19433 / 3499 = -19433/3499", "Add: -19433/3499 + (-5974) = -20922459/3499"], "final_answer": "-20922459/3499", "answer_type": "rational", "kind": "expression", "math_text": "-19433 / 3499 + (-5974)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -19433, \"b\": 3499, \"c\": -5974}", "seed": "1378519101632065208", "semantic_fingerprint": "sha256:27e0ea12439e5434b431d35c53578be855505e7cfeb683194a72cd706857f64a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006053", "prompt": "Compute: 82234 + (58009 - 7487)", "solution_steps": ["Subtract: 58009 - 7487 = 50522", "Add: 82234 + 50522 = 132756"], "final_answer": "132756", "answer_type": "integer", "kind": "expression", "math_text": "82234 + (58009 - 7487)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 82234, \"b\": 58009, \"c\": 7487}", "seed": "7538879852250483626", "semantic_fingerprint": "sha256:d62d29b4b3eec0a9c337749213e875b3a3150040fd3f62e0dd13fbda61c7d718", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006054", "prompt": "Evaluate: -66988 + 2341 * (-1516 / (-90220))", "solution_steps": ["Divide: -1516 / (-90220) = 379/22555", "Multiply: 2341 * (379/22555) = 887239/22555", "Add: -66988 + 887239/22555 = -1510027101/22555"], "final_answer": "-1510027101/22555", "answer_type": "rational", "kind": "expression", "math_text": "-66988 + 2341 * (-1516 / (-90220))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -66988, \"b\": 2341, \"c\": -1516, \"d\": -90220}", "seed": "4252843413094070501", "semantic_fingerprint": "sha256:3ae9baadab022395aa946089011ab283fcbd5a167d9dd8a672cb3e3f3fcb5fb7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006055", "prompt": "Evaluate: -6492 + (-9266) - (-6877) / 1408", "solution_steps": ["Add: -6492 + (-9266) = -15758", "Divide: -6877 / 1408 = -6877/1408", "Subtract: -15758 - (-6877/1408) = -22180387/1408"], "final_answer": "-22180387/1408", "answer_type": "rational", "kind": "expression", "math_text": "-6492 + (-9266) - (-6877) / 1408", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6492, \"b\": -9266, \"c\": -6877, \"d\": 1408}", "seed": "11236756214405974063", "semantic_fingerprint": "sha256:4015cb3a7a2409e64ece1110793fc27b3514f5922c6f6e97a2edda2b305291a9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006056", "prompt": "Evaluate: (8503 + (-13878)) * (-88627)", "solution_steps": ["Add: 8503 + (-13878) = -5375", "Multiply: -5375 * (-88627) = 476370125"], "final_answer": "476370125", "answer_type": "integer", "kind": "expression", "math_text": "(8503 + (-13878)) * (-88627)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8503, \"b\": -13878, \"c\": -88627}", "seed": "7599636410847949627", "semantic_fingerprint": "sha256:3c93942fd4145329bb287227b4799d6e89a487d0d5d2650796dd9704164d307b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006057", "prompt": "What is 3027 / 68862 + (7889 + 60161)?", "solution_steps": ["Divide: 3027 / 68862 = 1009/22954", "Add: 7889 + 60161 = 68050", "Add: 1009/22954 + 68050 = 1562020709/22954"], "final_answer": "1562020709/22954", "answer_type": "rational", "kind": "expression", "math_text": "3027 / 68862 + (7889 + 60161)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3027, \"b\": 68862, \"c\": 7889, \"d\": 60161}", "seed": "8910123189756886652", "semantic_fingerprint": "sha256:e8330c3e2e6291d6facda0b873030e79d4a33422518777155123668dbe3b9ea1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006058", "prompt": "Compute: -7463 * (8629 - 3599 / 4775)", "solution_steps": ["Divide: 3599 / 4775 = 3599/4775", "Subtract: 8629 - 3599/4775 = 41199876/4775", "Multiply: -7463 * (41199876/4775) = -307474674588/4775"], "final_answer": "-307474674588/4775", "answer_type": "rational", "kind": "expression", "math_text": "-7463 * (8629 - 3599 / 4775)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7463, \"b\": 8629, \"c\": 3599, \"d\": 4775}", "seed": "12931226797729887626", "semantic_fingerprint": "sha256:4872ae13d66b618a20da6a0575289b7c3d38c745beff82d20b5c7a97099607d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006059", "prompt": "What is 7377 + (29620 / 1617 + (6609 + (49486 - 9258)))?", "solution_steps": ["Divide: 29620 / 1617 = 29620/1617", "Subtract: 49486 - 9258 = 40228", "Add: 6609 + 40228 = 46837", "Add: 29620/1617 + 46837 = 75765049/1617", "Add: 7377 + 75765049/1617 = 87693658/1617"], "final_answer": "87693658/1617", "answer_type": "rational", "kind": "expression", "math_text": "7377 + (29620 / 1617 + (6609 + (49486 - 9258)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n n) (+ n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7377, \"b\": 29620, \"c\": 1617, \"d\": 6609, \"e\": 49486, \"f\": 9258}", "seed": "8499713877522621936", "semantic_fingerprint": "sha256:c93e68b38d6423914a347af1ce214857ab9b05251be3fd8db8d0bde4ae162b5d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006060", "prompt": "What is 86714 * 5654 - 42082?", "solution_steps": ["Multiply: 86714 * 5654 = 490280956", "Subtract: 490280956 - 42082 = 490238874"], "final_answer": "490238874", "answer_type": "integer", "kind": "expression", "math_text": "86714 * 5654 - 42082", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 86714, \"b\": 5654, \"c\": 42082}", "seed": "7620632598303947488", "semantic_fingerprint": "sha256:05849e9c11212caef11cf97d036cce9401560839e8cd19b8e930bb7f959561d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006061", "prompt": "Solve the equation x = 22x - 1932 for x.", "solution_steps": ["Subtract 22x from both sides: -21x = -1932", "Divide both sides by -21: x = 92"], "final_answer": "92", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 22x - 1932", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22, \"c\": -1932, \"x\": 92}", "seed": "3307700327627832599", "semantic_fingerprint": "sha256:df5e70fc85bd18dac03492c993fd62ec3a674530f9e9fa5094b2bb6ac1f7817d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006062", "prompt": "What is -6114 + (2057 - (-2577))?", "solution_steps": ["Subtract: 2057 - (-2577) = 4634", "Add: -6114 + 4634 = -1480"], "final_answer": "-1480", "answer_type": "integer", "kind": "expression", "math_text": "-6114 + (2057 - (-2577))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6114, \"b\": 2057, \"c\": -2577}", "seed": "17978407809150161171", "semantic_fingerprint": "sha256:5d55e118414fd70cbe1f43053746b964892d9b0ed396ecc0453a38a4b6411f29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006063", "prompt": "Calculate: 38154 - (-44131 - 28706)", "solution_steps": ["Subtract: -44131 - 28706 = -72837", "Subtract: 38154 - (-72837) = 110991"], "final_answer": "110991", "answer_type": "integer", "kind": "expression", "math_text": "38154 - (-44131 - 28706)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 38154, \"b\": -44131, \"c\": 28706}", "seed": "9694544646969229692", "semantic_fingerprint": "sha256:dd8ddc0f019198d23c8e2777d1ef87475ca47088767f18762abfbd14ebdfe9d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006064", "prompt": "What is -2953 + (7456 * 65792 - 7768) - 4397?", "solution_steps": ["Multiply: 7456 * 65792 = 490545152", "Subtract: 490545152 - 7768 = 490537384", "Add: -2953 + 490537384 = 490534431", "Subtract: 490534431 - 4397 = 490530034"], "final_answer": "490530034", "answer_type": "integer", "kind": "expression", "math_text": "-2953 + (7456 * 65792 - 7768) - 4397", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- (* n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -2953, \"b\": 7456, \"c\": 65792, \"d\": 7768, \"e\": 4397}", "seed": "3912769956956936907", "semantic_fingerprint": "sha256:ebe6018157265089709eb846030b950204e0255098f6470ce7d315e5e32489f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006065", "prompt": "Find x: x + 1984 = 32x", "solution_steps": ["Subtract 32x from both sides: -31x + 1984 = 0", "Subtract 1984 from both sides: -31x = -1984", "Divide both sides by -31: x = 64"], "final_answer": "64", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1984 = 32x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": 1984, \"x\": 64}", "seed": "16838992074585166588", "semantic_fingerprint": "sha256:2f1a0ff3875dd84d298822c93092631aea39d8773e3db43b4789796702cf088e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006066", "prompt": "Solve the equation -21(x - 1433) - 7442 = x for x.", "solution_steps": ["Expand: -21x + 30093 - 7442 = x", "Combine constants: -21x + 22651 = x", "Subtract x from both sides: -22x + 22651 = 0", "Subtract 22651 from both sides: -22x = -22651", "Divide both sides by -22: x = 22651/22"], "final_answer": "22651/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 1433) - 7442 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 1433, \"c\": 7442}", "seed": "4947909445681770847", "semantic_fingerprint": "sha256:45c98739ea7832e8d120b995ad7fefd21230fbc58fcb587b6a05b5603d458b67", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006067", "prompt": "Compute: 21867 + (-5900)", "solution_steps": ["Add: 21867 + (-5900) = 15967"], "final_answer": "15967", "answer_type": "integer", "kind": "expression", "math_text": "21867 + (-5900)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 21867, \"b\": -5900}", "seed": "8004320044359249687", "semantic_fingerprint": "sha256:b75b60c56c572bea6518efa9f07d3f73cb784166026b1ec6f38c21de7a722f06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006068", "prompt": "What value of x satisfies x + 3002 = 39x + 9728?", "solution_steps": ["Subtract 39x from both sides: -38x + 3002 = 9728", "Subtract 3002 from both sides: -38x = 6726", "Divide both sides by -38: x = -177"], "final_answer": "-177", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3002 = 39x + 9728", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3002, \"b\": 39, \"d\": 9728, \"x\": -177}", "seed": "4078739291931865383", "semantic_fingerprint": "sha256:b767f46f6327fb3ebc942118be8b5a0e1387f7a93d2b369e10a965211631b322", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006069", "prompt": "Evaluate: 3952 * (-37922) / 74019", "solution_steps": ["Multiply: 3952 * (-37922) = -149867744", "Divide: -149867744 / 74019 = -149867744/74019"], "final_answer": "-149867744/74019", "answer_type": "rational", "kind": "expression", "math_text": "3952 * (-37922) / 74019", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3952, \"b\": -37922, \"c\": 74019}", "seed": "75727599672175878", "semantic_fingerprint": "sha256:b4bdc5a285cb01b1a07f3e47b03d5f4200cf018fb6e823a1dbd274c6724ba8ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006070", "prompt": "Evaluate: 9157 + (53490 + (-8162))", "solution_steps": ["Add: 53490 + (-8162) = 45328", "Add: 9157 + 45328 = 54485"], "final_answer": "54485", "answer_type": "integer", "kind": "expression", "math_text": "9157 + (53490 + (-8162))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9157, \"b\": 53490, \"c\": -8162}", "seed": "5939859171991118179", "semantic_fingerprint": "sha256:212d755c592859730e0bc43464ea6cd99017e3c670c5a606641a849f4eee2ed0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006071", "prompt": "What is -5134 - (-6606)?", "solution_steps": ["Subtract: -5134 - (-6606) = 1472"], "final_answer": "1472", "answer_type": "integer", "kind": "expression", "math_text": "-5134 - (-6606)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5134, \"b\": -6606}", "seed": "7294963269482676150", "semantic_fingerprint": "sha256:54a10d62639ee8461975089b8860f32db917b19a62f7d82748b7f08662e6a438", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006072", "prompt": "Solve for x: x = 27(x - 4737)", "solution_steps": ["Expand: x = 27x - 127899", "Subtract 27x from both sides: -26x = -127899", "Divide both sides by -26: x = 127899/26"], "final_answer": "127899/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 27(x - 4737)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 4737}", "seed": "1715734050043657659", "semantic_fingerprint": "sha256:6cfcdb9a3d8053ee04399653d03c46e5c695823992451ede3afb421e30159142", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006073", "prompt": "Find x: -40(x + 7284) + 2555 = -17(x + 17936) + 17855", "solution_steps": ["Expand: -40x - 291360 + 2555 = -17(x + 17936) + 17855", "Expand: -40x - 291360 + 2555 = -17x - 304912 + 17855", "Combine constants: -40x - 288805 = -17x - 304912 + 17855", "Combine constants: -40x - 288805 = -17x - 287057", "Add 17x to both sides: -23x - 288805 = -287057", "Add 288805 to both sides: -23x = 1748", "Divide both sides by -23: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40(x + 7284) + 2555 = -17(x + 17936) + 17855", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 7284, \"c\": 2555, \"d\": -17, \"e\": 17936, \"g\": 17855, \"x\": -76}", "seed": "864811983889729837", "semantic_fingerprint": "sha256:d7ad88068cfd42c49be1f38f92e3289aa2a7c1204e056dc4e760da7986fc9544", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006074", "prompt": "What is -4367 + (8958 + 9763 + 38582)?", "solution_steps": ["Add: 8958 + 9763 = 18721", "Add: 18721 + 38582 = 57303", "Add: -4367 + 57303 = 52936"], "final_answer": "52936", "answer_type": "integer", "kind": "expression", "math_text": "-4367 + (8958 + 9763 + 38582)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4367, \"b\": 8958, \"c\": 9763, \"d\": 38582}", "seed": "11388747182568836672", "semantic_fingerprint": "sha256:42d197eed7ef0eb3ec649357dedf2c0ff4516bc9ac4f6194495ab6dacd64fa58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006075", "prompt": "Find x: 36x + 4792 = 39x + 4615", "solution_steps": ["Subtract 39x from both sides: -3x + 4792 = 4615", "Subtract 4792 from both sides: -3x = -177", "Divide both sides by -3: x = 59"], "final_answer": "59", "answer_type": "integer", "kind": "linear_equation", "math_text": "36x + 4792 = 39x + 4615", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 4792, \"c\": 39, \"e\": 4615, \"x\": 59}", "seed": "6436375386992738516", "semantic_fingerprint": "sha256:0251695e66f7be239e90a024862a6c941ec6fe40e19b673db28fc1a1f79dfc02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006076", "prompt": "What is 9314 - 5784?", "solution_steps": ["Subtract: 9314 - 5784 = 3530"], "final_answer": "3530", "answer_type": "integer", "kind": "expression", "math_text": "9314 - 5784", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9314, \"b\": 5784}", "seed": "1966829771911192734", "semantic_fingerprint": "sha256:8bde7ee5483a5a53f7f0927aec1a556e6807c2fe50acc41a7f0ab1b2188caec3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006077", "prompt": "Calculate: 5445 + (-4210) / 75686", "solution_steps": ["Divide: -4210 / 75686 = -2105/37843", "Add: 5445 + (-2105/37843) = 206053030/37843"], "final_answer": "206053030/37843", "answer_type": "rational", "kind": "expression", "math_text": "5445 + (-4210) / 75686", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5445, \"b\": -4210, \"c\": 75686}", "seed": "8802846388657311030", "semantic_fingerprint": "sha256:257015b469c6f10eb42a667f33a944395ef5121283b2c61ba37dfa845978ae19", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006078", "prompt": "Calculate: (5957 - (-58215)) * 81210", "solution_steps": ["Subtract: 5957 - (-58215) = 64172", "Multiply: 64172 * 81210 = 5211408120"], "final_answer": "5211408120", "answer_type": "integer", "kind": "expression", "math_text": "(5957 - (-58215)) * 81210", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5957, \"b\": -58215, \"c\": 81210}", "seed": "9156696585408597743", "semantic_fingerprint": "sha256:b59d5b0e8788d5464ba62300f59e95fa864644126ce19b8314f59183ae483266", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006079", "prompt": "Evaluate: -8242 + 8063", "solution_steps": ["Add: -8242 + 8063 = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "expression", "math_text": "-8242 + 8063", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8242, \"b\": 8063}", "seed": "4119829734203980804", "semantic_fingerprint": "sha256:fb440bca196a2d11c0b89eea0fea25dc9baaf8239451f0f1626fe5c2b8205f4d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006080", "prompt": "Calculate: 59297 - (-4335) - (80090 + (-8417))", "solution_steps": ["Subtract: 59297 - (-4335) = 63632", "Add: 80090 + (-8417) = 71673", "Subtract: 63632 - 71673 = -8041"], "final_answer": "-8041", "answer_type": "integer", "kind": "expression", "math_text": "59297 - (-4335) - (80090 + (-8417))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 59297, \"b\": -4335, \"c\": 80090, \"d\": -8417}", "seed": "15490369116343599445", "semantic_fingerprint": "sha256:bf7c5b39a1434e3b0652e4f7af94e2b89aed0b4f67bfd7733c7cf86802e15f10", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006081", "prompt": "Solve the equation 13(x + 8081) - 16075 = 29(x + 70065) for x.", "solution_steps": ["Expand: 13x + 105053 - 16075 = 29(x + 70065)", "Expand: 13x + 105053 - 16075 = 29x + 2031885", "Combine constants: 13x + 88978 = 29x + 2031885", "Subtract 29x from both sides: -16x + 88978 = 2031885", "Subtract 88978 from both sides: -16x = 1942907", "Divide both sides by -16: x = -1942907/16"], "final_answer": "-1942907/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 8081) - 16075 = 29(x + 70065)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 8081, \"c\": 16075, \"d\": 29, \"e\": 70065}", "seed": "1084788013262229997", "semantic_fingerprint": "sha256:b2e2ad078a852066c38ebcbd9991142076af7fa3e1fc26847783fd015e73590d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006082", "prompt": "Evaluate: -4938 * (-1017) - 5150 / 2003", "solution_steps": ["Multiply: -4938 * (-1017) = 5021946", "Divide: 5150 / 2003 = 5150/2003", "Subtract: 5021946 - 5150/2003 = 10058952688/2003"], "final_answer": "10058952688/2003", "answer_type": "rational", "kind": "expression", "math_text": "-4938 * (-1017) - 5150 / 2003", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4938, \"b\": -1017, \"c\": 5150, \"d\": 2003}", "seed": "12439503785665726719", "semantic_fingerprint": "sha256:6185dcbcc691bda84b0335d33acec120ddd1d17ac40209dfd1d5d18b06f37b1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006083", "prompt": "Evaluate: 63124 - (3557 + (-1308))", "solution_steps": ["Add: 3557 + (-1308) = 2249", "Subtract: 63124 - 2249 = 60875"], "final_answer": "60875", "answer_type": "integer", "kind": "expression", "math_text": "63124 - (3557 + (-1308))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 63124, \"b\": 3557, \"c\": -1308}", "seed": "2395394015763687510", "semantic_fingerprint": "sha256:22627c3dc20826af2015003f4d893550c7aaca774d4462170ac3918e075162e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006084", "prompt": "Calculate: 8229 * (6320 - 7566 * (-5718))", "solution_steps": ["Multiply: 7566 * (-5718) = -43262388", "Subtract: 6320 - (-43262388) = 43268708", "Multiply: 8229 * 43268708 = 356058198132"], "final_answer": "356058198132", "answer_type": "integer", "kind": "expression", "math_text": "8229 * (6320 - 7566 * (-5718))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8229, \"b\": 6320, \"c\": 7566, \"d\": -5718}", "seed": "8175892980632057586", "semantic_fingerprint": "sha256:cc821ed7f9dd959144851640d4181d30ce25dac5a277331a25d6cf6ef1d210e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006085", "prompt": "What is (25791 - (-83536)) / (-2942) + 7868?", "solution_steps": ["Subtract: 25791 - (-83536) = 109327", "Divide: 109327 / (-2942) = -109327/2942", "Add: -109327/2942 + 7868 = 23038329/2942"], "final_answer": "23038329/2942", "answer_type": "rational", "kind": "expression", "math_text": "(25791 - (-83536)) / (-2942) + 7868", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25791, \"b\": -83536, \"c\": -2942, \"d\": 7868}", "seed": "9912140615390686285", "semantic_fingerprint": "sha256:b9ed88dfe66da6caa720e5b76773f01ec4f8b28b76655ee80f734a8f7a4d90f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006086", "prompt": "Calculate: 7834 * (-4151) - 89380 * (-2060) - (-7601)", "solution_steps": ["Multiply: 7834 * (-4151) = -32518934", "Multiply: 89380 * (-2060) = -184122800", "Subtract: -32518934 - (-184122800) = 151603866", "Subtract: 151603866 - (-7601) = 151611467"], "final_answer": "151611467", "answer_type": "integer", "kind": "expression", "math_text": "7834 * (-4151) - 89380 * (-2060) - (-7601)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (* n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7834, \"b\": -4151, \"c\": 89380, \"d\": -2060, \"e\": -7601}", "seed": "409511417852267644", "semantic_fingerprint": "sha256:6fc3067daa85638763e1164ae392f87e38ebc4ebee960eb7f39ef98a735265ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006087", "prompt": "Calculate: (-8438 + (-83554) + (-63199)) / (-42384)", "solution_steps": ["Add: -8438 + (-83554) = -91992", "Add: -91992 + (-63199) = -155191", "Divide: -155191 / (-42384) = 155191/42384"], "final_answer": "155191/42384", "answer_type": "rational", "kind": "expression", "math_text": "(-8438 + (-83554) + (-63199)) / (-42384)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8438, \"b\": -83554, \"c\": -63199, \"d\": -42384}", "seed": "7963567534993150118", "semantic_fingerprint": "sha256:ea365433699659f68b5a28c2aade77446851ad6e3e56d1d25a48bf312885251b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006088", "prompt": "Evaluate: -4227 + (-9007) * (-5144) + (-51615)", "solution_steps": ["Multiply: -9007 * (-5144) = 46332008", "Add: -4227 + 46332008 = 46327781", "Add: 46327781 + (-51615) = 46276166"], "final_answer": "46276166", "answer_type": "integer", "kind": "expression", "math_text": "-4227 + (-9007) * (-5144) + (-51615)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4227, \"b\": -9007, \"c\": -5144, \"d\": -51615}", "seed": "836723493266788393", "semantic_fingerprint": "sha256:f619d0bffd3fd95b6f648b439cff5094fe8c8d1c8c1fbae9700ef2f9b50e7a1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006089", "prompt": "Evaluate: (-70964 - (-1817) * (-52629)) * 2566", "solution_steps": ["Multiply: -1817 * (-52629) = 95626893", "Subtract: -70964 - 95626893 = -95697857", "Multiply: -95697857 * 2566 = -245560701062"], "final_answer": "-245560701062", "answer_type": "integer", "kind": "expression", "math_text": "(-70964 - (-1817) * (-52629)) * 2566", "variable": null, "family": "expression_3op", "shape": "(* (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -70964, \"b\": -1817, \"c\": -52629, \"d\": 2566}", "seed": "1638210379951958782", "semantic_fingerprint": "sha256:0199a9d1cfc31f5132e8bdde5c5ef7483a36706b7583f8d61ee041d2bd836a4e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006090", "prompt": "Evaluate: -25506 * 85060 - (-1490) * (-7147 - 6063)", "solution_steps": ["Multiply: -25506 * 85060 = -2169540360", "Subtract: -7147 - 6063 = -13210", "Multiply: -1490 * (-13210) = 19682900", "Subtract: -2169540360 - 19682900 = -2189223260"], "final_answer": "-2189223260", "answer_type": "integer", "kind": "expression", "math_text": "-25506 * 85060 - (-1490) * (-7147 - 6063)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25506, \"b\": 85060, \"c\": -1490, \"d\": -7147, \"e\": 6063}", "seed": "13586327890054386697", "semantic_fingerprint": "sha256:f7f733f11fd3133e015b497864c3e43470cd850ab39db0938f62b29630f50c3a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006091", "prompt": "Solve for x: x = -30(x - 50801)", "solution_steps": ["Expand: x = -30x + 1524030", "Add 30x to both sides: 31x = 1524030", "Divide both sides by 31: x = 1524030/31"], "final_answer": "1524030/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -30(x - 50801)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 50801}", "seed": "572067961993079594", "semantic_fingerprint": "sha256:8468d2760181a4a9145d70b02408b5e536e3578a8b74c127fff31895d607ae22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006092", "prompt": "Evaluate: -8574 / (6137 / (-9780))", "solution_steps": ["Divide: 6137 / (-9780) = -6137/9780", "Divide: -8574 / (-6137/9780) = 83853720/6137"], "final_answer": "83853720/6137", "answer_type": "rational", "kind": "expression", "math_text": "-8574 / (6137 / (-9780))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8574, \"b\": 6137, \"c\": -9780}", "seed": "183641451668656703", "semantic_fingerprint": "sha256:82c35a130ee59e2800914635bfc456e3f2bb97e6c76098cd53c6359c89940db3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006093", "prompt": "Calculate: 1643 * (5707 + 7309) - 9979 + (-36074) / (-9731)", "solution_steps": ["Add: 5707 + 7309 = 13016", "Multiply: 1643 * 13016 = 21385288", "Subtract: 21385288 - 9979 = 21375309", "Divide: -36074 / (-9731) = 36074/9731", "Add: 21375309 + 36074/9731 = 208003167953/9731"], "final_answer": "208003167953/9731", "answer_type": "rational", "kind": "expression", "math_text": "1643 * (5707 + 7309) - 9979 + (-36074) / (-9731)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (+ n n)) n) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1643, \"b\": 5707, \"c\": 7309, \"d\": 9979, \"e\": -36074, \"f\": -9731}", "seed": "7586187036735855168", "semantic_fingerprint": "sha256:bef5e8bb1a8575d598c21ad74e602b95f22d4cc98795ee8dbfe52c0741baabd6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006094", "prompt": "Find x: 13(x + 7592) + 76207 = 36(x + 2113)", "solution_steps": ["Expand: 13x + 98696 + 76207 = 36(x + 2113)", "Expand: 13x + 98696 + 76207 = 36x + 76068", "Combine constants: 13x + 174903 = 36x + 76068", "Subtract 36x from both sides: -23x + 174903 = 76068", "Subtract 174903 from both sides: -23x = -98835", "Divide both sides by -23: x = 98835/23"], "final_answer": "98835/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 7592) + 76207 = 36(x + 2113)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 7592, \"c\": 76207, \"d\": 36, \"e\": 2113}", "seed": "12008767554636626162", "semantic_fingerprint": "sha256:70b98c4ccba16a67af8b9ea443ebc2caf0de2f5bc2967a6619c3114de2910bd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006095", "prompt": "Evaluate: -45089 / (-24871) - 6759 * 8444", "solution_steps": ["Divide: -45089 / (-24871) = 4099/2261", "Multiply: 6759 * 8444 = 57072996", "Subtract: 4099/2261 - 57072996 = -129042039857/2261"], "final_answer": "-129042039857/2261", "answer_type": "rational", "kind": "expression", "math_text": "-45089 / (-24871) - 6759 * 8444", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -45089, \"b\": -24871, \"c\": 6759, \"d\": 8444}", "seed": "6123152791953309461", "semantic_fingerprint": "sha256:e0233cd5afea2a10246fbe37e019d36cfb7d80965c47db7c2092b96b31cfc134", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006096", "prompt": "Compute: (-87623 - (-4990)) / 87375 * (2848 + (2902 - (-4601)))", "solution_steps": ["Subtract: -87623 - (-4990) = -82633", "Divide: -82633 / 87375 = -82633/87375", "Subtract: 2902 - (-4601) = 7503", "Add: 2848 + 7503 = 10351", "Multiply: (-82633/87375) * 10351 = -855334183/87375"], "final_answer": "-855334183/87375", "answer_type": "rational", "kind": "expression", "math_text": "(-87623 - (-4990)) / 87375 * (2848 + (2902 - (-4601)))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -87623, \"b\": -4990, \"c\": 87375, \"d\": 2848, \"e\": 2902, \"f\": -4601}", "seed": "10100774452767802879", "semantic_fingerprint": "sha256:bdb3e9d00c8d919885405307a1bcfc73e7fb0b936626e75d494d23219e0b1a6f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006097", "prompt": "Solve the equation x = 26(x - 10650) for x.", "solution_steps": ["Expand: x = 26x - 276900", "Subtract 26x from both sides: -25x = -276900", "Divide both sides by -25: x = 11076"], "final_answer": "11076", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 26(x - 10650)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 10650}", "seed": "7272372604772609364", "semantic_fingerprint": "sha256:30dbf2768c993a5c4f1ef93cca8e97531ca938c78d920e9075e78002f0b6d559", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006098", "prompt": "Evaluate: 8009 - 63763 * (-6782)", "solution_steps": ["Multiply: 63763 * (-6782) = -432440666", "Subtract: 8009 - (-432440666) = 432448675"], "final_answer": "432448675", "answer_type": "integer", "kind": "expression", "math_text": "8009 - 63763 * (-6782)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8009, \"b\": 63763, \"c\": -6782}", "seed": "6496213208618989172", "semantic_fingerprint": "sha256:27e7c406644a947286727605d300fc842eddc17f2c9fe2a0ade058b16a63366c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006099", "prompt": "Calculate: 41751 + (7369 + 9205 - (-32979) / 4239)", "solution_steps": ["Add: 7369 + 9205 = 16574", "Divide: -32979 / 4239 = -10993/1413", "Subtract: 16574 - (-10993/1413) = 23430055/1413", "Add: 41751 + 23430055/1413 = 82424218/1413"], "final_answer": "82424218/1413", "answer_type": "rational", "kind": "expression", "math_text": "41751 + (7369 + 9205 - (-32979) / 4239)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 41751, \"b\": 7369, \"c\": 9205, \"d\": -32979, \"e\": 4239}", "seed": "7104569290218477022", "semantic_fingerprint": "sha256:8f14d80009b6ba7730d6a3301d4c7f42ff2edeedc00a4cb495854b3af787f122", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006100", "prompt": "Solve for x: 16(x - 5153) + 81966 = 30(x - 66732) + 90071", "solution_steps": ["Expand: 16x - 82448 + 81966 = 30(x - 66732) + 90071", "Expand: 16x - 82448 + 81966 = 30x - 2001960 + 90071", "Combine constants: 16x - 482 = 30x - 2001960 + 90071", "Combine constants: 16x - 482 = 30x - 1911889", "Subtract 30x from both sides: -14x - 482 = -1911889", "Add 482 to both sides: -14x = -1911407", "Divide both sides by -14: x = 1911407/14"], "final_answer": "1911407/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "16(x - 5153) + 81966 = 30(x - 66732) + 90071", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5153, \"c\": 81966, \"d\": 30, \"e\": 66732, \"f\": 90071}", "seed": "6631157198408270283", "semantic_fingerprint": "sha256:57a20064d7376d4d8bf21c4bb92ba5881841162ff49d0f9e6adad090908e81bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006101", "prompt": "Find x: 29(x + 8263) + 8417 = -68147", "solution_steps": ["Expand: 29x + 239627 + 8417 = -68147", "Combine constants: 29x + 248044 = -68147", "Subtract 248044 from both sides: 29x = -316191", "Divide both sides by 29: x = -316191/29"], "final_answer": "-316191/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 8263) + 8417 = -68147", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 8263, \"c\": 8417, \"d\": -68147}", "seed": "11709100173889062719", "semantic_fingerprint": "sha256:ee249ea30b660b9fec2445564ae76bf161eab0c70d4e52559327e83f66a60ed0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006102", "prompt": "Calculate: -37854 + (-1177) - 74984", "solution_steps": ["Add: -37854 + (-1177) = -39031", "Subtract: -39031 - 74984 = -114015"], "final_answer": "-114015", "answer_type": "integer", "kind": "expression", "math_text": "-37854 + (-1177) - 74984", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -37854, \"b\": -1177, \"c\": 74984}", "seed": "13257891625260664177", "semantic_fingerprint": "sha256:f19114dd0fa4143f7b7eeaba1dd9cb920d386d880c875045760f6987fe62f74f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006103", "prompt": "Evaluate: -9235 + (60941 - (-4814))", "solution_steps": ["Subtract: 60941 - (-4814) = 65755", "Add: -9235 + 65755 = 56520"], "final_answer": "56520", "answer_type": "integer", "kind": "expression", "math_text": "-9235 + (60941 - (-4814))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9235, \"b\": 60941, \"c\": -4814}", "seed": "11675115451022584596", "semantic_fingerprint": "sha256:085c35f778761b0a38b4c7849335cef4ade03f0af6e3ac1bb7c81a5fae454d37", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006104", "prompt": "Find x: x + 4574 = 22(x - 86722) + 2336", "solution_steps": ["Expand: x + 4574 = 22x - 1907884 + 2336", "Combine constants: x + 4574 = 22x - 1905548", "Subtract 22x from both sides: -21x + 4574 = -1905548", "Subtract 4574 from both sides: -21x = -1910122", "Divide both sides by -21: x = 1910122/21"], "final_answer": "1910122/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4574 = 22(x - 86722) + 2336", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4574, \"b\": 22, \"c\": 86722, \"d\": 2336}", "seed": "13432058616851545831", "semantic_fingerprint": "sha256:fc3df8dcaf13fb7412b829524f272cf924cb853e5f79a66cde82571c67730910", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006105", "prompt": "Compute: -98666 / (-99668) + 7570", "solution_steps": ["Divide: -98666 / (-99668) = 49333/49834", "Add: 49333/49834 + 7570 = 377292713/49834"], "final_answer": "377292713/49834", "answer_type": "rational", "kind": "expression", "math_text": "-98666 / (-99668) + 7570", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -98666, \"b\": -99668, \"c\": 7570}", "seed": "15252240584904521364", "semantic_fingerprint": "sha256:1277c784a82795c3122ce6569da78fd9da73fe5e0803e5dd7514748ff39ced06", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006106", "prompt": "Solve the equation -34(x + 6721) = 31x - 6001 for x.", "solution_steps": ["Expand: -34x - 228514 = 31x - 6001", "Subtract 31x from both sides: -65x - 228514 = -6001", "Add 228514 to both sides: -65x = 222513", "Divide both sides by -65: x = -222513/65"], "final_answer": "-222513/65", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x + 6721) = 31x - 6001", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 6721, \"c\": 31, \"d\": 6001}", "seed": "9082848355737942115", "semantic_fingerprint": "sha256:fbc33a547deebe160446b00604e4ddd6b3781ec6ae94e3340eaa72e328f71ef2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006107", "prompt": "What is -6269 * (-75134 + (-6553))?", "solution_steps": ["Add: -75134 + (-6553) = -81687", "Multiply: -6269 * (-81687) = 512095803"], "final_answer": "512095803", "answer_type": "integer", "kind": "expression", "math_text": "-6269 * (-75134 + (-6553))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6269, \"b\": -75134, \"c\": -6553}", "seed": "8959236086347699928", "semantic_fingerprint": "sha256:96b56991e4462221ed15141c09d5566e5d99f5d1b0857b7f098a35890fdc087e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006108", "prompt": "Solve for x: -31x = 16(x - 8949)", "solution_steps": ["Expand: -31x = 16x - 143184", "Subtract 16x from both sides: -47x = -143184", "Divide both sides by -47: x = 143184/47"], "final_answer": "143184/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x = 16(x - 8949)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 16, \"c\": 8949}", "seed": "11250762719377490786", "semantic_fingerprint": "sha256:4e9eab9ac80bca6a9cbdfd37d1300c838821013245ce0c0c0ca9df3e50fc1c87", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006109", "prompt": "Calculate: (1547 - 25348) / (-82513 + 1521)", "solution_steps": ["Subtract: 1547 - 25348 = -23801", "Add: -82513 + 1521 = -80992", "Divide: -23801 / (-80992) = 23801/80992"], "final_answer": "23801/80992", "answer_type": "rational", "kind": "expression", "math_text": "(1547 - 25348) / (-82513 + 1521)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1547, \"b\": 25348, \"c\": -82513, \"d\": 1521}", "seed": "16833112742745946689", "semantic_fingerprint": "sha256:ba968a11de048f41e7cddf55b1b8227113a2910b547e2eed5cecd81f4da5c49b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006110", "prompt": "What value of x satisfies -17(x - 9372) + 89034 = -36x?", "solution_steps": ["Expand: -17x + 159324 + 89034 = -36x", "Combine constants: -17x + 248358 = -36x", "Add 36x to both sides: 19x + 248358 = 0", "Subtract 248358 from both sides: 19x = -248358", "Divide both sides by 19: x = -248358/19"], "final_answer": "-248358/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x - 9372) + 89034 = -36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 9372, \"c\": 89034, \"d\": -36}", "seed": "1287773111980465876", "semantic_fingerprint": "sha256:12a85177a827c12ae40a01e678ba697e220a5e7430c9e81cdb31fb6d78cb347f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006111", "prompt": "Compute: -74309 + 3752 / (-7197)", "solution_steps": ["Divide: 3752 / (-7197) = -3752/7197", "Add: -74309 + (-3752/7197) = -534805625/7197"], "final_answer": "-534805625/7197", "answer_type": "rational", "kind": "expression", "math_text": "-74309 + 3752 / (-7197)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -74309, \"b\": 3752, \"c\": -7197}", "seed": "7708666681349190608", "semantic_fingerprint": "sha256:a8bbeaff469367480a065c34657944948246eb4d9f41646af8df40ec6fd50d2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006112", "prompt": "What is (-43501 - (52415 - (-98535))) / 55315?", "solution_steps": ["Subtract: 52415 - (-98535) = 150950", "Subtract: -43501 - 150950 = -194451", "Divide: -194451 / 55315 = -194451/55315"], "final_answer": "-194451/55315", "answer_type": "rational", "kind": "expression", "math_text": "(-43501 - (52415 - (-98535))) / 55315", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -43501, \"b\": 52415, \"c\": -98535, \"d\": 55315}", "seed": "4646894538558977778", "semantic_fingerprint": "sha256:4fd5fa29c537008fcbb8e097f439ee6cca5f8c4cff6f74fc93c605c6d91bbcd8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006113", "prompt": "Compute: 43783 - (-95952)", "solution_steps": ["Subtract: 43783 - (-95952) = 139735"], "final_answer": "139735", "answer_type": "integer", "kind": "expression", "math_text": "43783 - (-95952)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 43783, \"b\": -95952}", "seed": "13108681757820119849", "semantic_fingerprint": "sha256:5db7dbb9b314bb75da3514c3e22dc605c8c014301f92326a5704c030c172558c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006114", "prompt": "What value of x satisfies 39(x - 4079) - 33709 = x - 5427?", "solution_steps": ["Expand: 39x - 159081 - 33709 = x - 5427", "Combine constants: 39x - 192790 = x - 5427", "Subtract x from both sides: 38x - 192790 = -5427", "Add 192790 to both sides: 38x = 187363", "Divide both sides by 38: x = 187363/38"], "final_answer": "187363/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x - 4079) - 33709 = x - 5427", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 4079, \"c\": 33709, \"d\": 5427}", "seed": "15464926580216913967", "semantic_fingerprint": "sha256:e69041885937534764451fa21b1a5629bc3a94fa25aa219ac1cfdc6b3434e93d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006115", "prompt": "Calculate: 9660 * (-64592)", "solution_steps": ["Multiply: 9660 * (-64592) = -623958720"], "final_answer": "-623958720", "answer_type": "integer", "kind": "expression", "math_text": "9660 * (-64592)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9660, \"b\": -64592}", "seed": "5495158049802150842", "semantic_fingerprint": "sha256:7df02e05e61fb4457ff3b9b4783506cb1ebbf0ab92e26b4ebbcffad420862966", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006116", "prompt": "What value of x satisfies 25(x + 1247) = 16x?", "solution_steps": ["Expand: 25x + 31175 = 16x", "Subtract 16x from both sides: 9x + 31175 = 0", "Subtract 31175 from both sides: 9x = -31175", "Divide both sides by 9: x = -31175/9"], "final_answer": "-31175/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 1247) = 16x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1247, \"c\": 16}", "seed": "8797922818299476259", "semantic_fingerprint": "sha256:b67984dda932c257f7b96d6112ee39dde190740a46402ad2f7650535cd2901ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006117", "prompt": "Compute: -8717 + 8392 - 9369", "solution_steps": ["Add: -8717 + 8392 = -325", "Subtract: -325 - 9369 = -9694"], "final_answer": "-9694", "answer_type": "integer", "kind": "expression", "math_text": "-8717 + 8392 - 9369", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8717, \"b\": 8392, \"c\": 9369}", "seed": "6068490490295977410", "semantic_fingerprint": "sha256:a407159919452601938607733a9ea5ff048a70ed76a6938b6fbf07e41168f9df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006118", "prompt": "Calculate: (-8427 + 23518) * (2226 / 79235)", "solution_steps": ["Add: -8427 + 23518 = 15091", "Divide: 2226 / 79235 = 42/1495", "Multiply: 15091 * (42/1495) = 633822/1495"], "final_answer": "633822/1495", "answer_type": "rational", "kind": "expression", "math_text": "(-8427 + 23518) * (2226 / 79235)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8427, \"b\": 23518, \"c\": 2226, \"d\": 79235}", "seed": "4929468642436513019", "semantic_fingerprint": "sha256:ae05ae68706205c74ecc116b877b75184b011891cd6893e3899136249592ecf0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006119", "prompt": "Evaluate: -65571 / (-9452)", "solution_steps": ["Divide: -65571 / (-9452) = 65571/9452"], "final_answer": "65571/9452", "answer_type": "rational", "kind": "expression", "math_text": "-65571 / (-9452)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -65571, \"b\": -9452}", "seed": "12179955116845992978", "semantic_fingerprint": "sha256:6a0f303430fe05464f4c81997aa05d6ccfd92d6409845e2815ec01ad6cf251f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006120", "prompt": "Evaluate: -8922 + (-3297) + (-96625) * (-5806)", "solution_steps": ["Add: -8922 + (-3297) = -12219", "Multiply: -96625 * (-5806) = 561004750", "Add: -12219 + 561004750 = 560992531"], "final_answer": "560992531", "answer_type": "integer", "kind": "expression", "math_text": "-8922 + (-3297) + (-96625) * (-5806)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8922, \"b\": -3297, \"c\": -96625, \"d\": -5806}", "seed": "1457619266489379039", "semantic_fingerprint": "sha256:3720dd3c7be2446851e9ef67ec596585693f88f2712946893a0c81a956aef28c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006121", "prompt": "Compute: -7905 - (-2577 - 2621)", "solution_steps": ["Subtract: -2577 - 2621 = -5198", "Subtract: -7905 - (-5198) = -2707"], "final_answer": "-2707", "answer_type": "integer", "kind": "expression", "math_text": "-7905 - (-2577 - 2621)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7905, \"b\": -2577, \"c\": 2621}", "seed": "12127483992131446255", "semantic_fingerprint": "sha256:05c6cf6af19672310a13b874a960f191b537ec4d672f20cfeab30726c30c3544", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006122", "prompt": "Calculate: -2932 / 38427 - 76847", "solution_steps": ["Divide: -2932 / 38427 = -2932/38427", "Subtract: -2932/38427 - 76847 = -2953002601/38427"], "final_answer": "-2953002601/38427", "answer_type": "rational", "kind": "expression", "math_text": "-2932 / 38427 - 76847", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2932, \"b\": 38427, \"c\": 76847}", "seed": "15694685168847998089", "semantic_fingerprint": "sha256:c0500efa0e0ea52e6aa99c436da3a8161c549c8c5a46a0dadd818189bbcca973", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006123", "prompt": "Calculate: (44411 + 5322 * (-7612)) * (-7043 + (-2069))", "solution_steps": ["Multiply: 5322 * (-7612) = -40511064", "Add: 44411 + (-40511064) = -40466653", "Add: -7043 + (-2069) = -9112", "Multiply: -40466653 * (-9112) = 368732142136"], "final_answer": "368732142136", "answer_type": "integer", "kind": "expression", "math_text": "(44411 + 5322 * (-7612)) * (-7043 + (-2069))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 44411, \"b\": 5322, \"c\": -7612, \"d\": -7043, \"e\": -2069}", "seed": "6445542792081267144", "semantic_fingerprint": "sha256:5b57ba47c85e090fb0562823ae4da84037d65c9f9188974e45a0c33e75cc4c3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006124", "prompt": "Solve the equation -17x = x - 73518 for x.", "solution_steps": ["Subtract x from both sides: -18x = -73518", "Divide both sides by -18: x = 12253/3"], "final_answer": "12253/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x = x - 73518", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 73518}", "seed": "12962142919887033704", "semantic_fingerprint": "sha256:fc739e6f9f09d6cc0bb83337959ba48ec4ac174f4598b72750292988d185539a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006125", "prompt": "Find x: -23(x + 26721) - 20191 = 21x + 3984", "solution_steps": ["Expand: -23x - 614583 - 20191 = 21x + 3984", "Combine constants: -23x - 634774 = 21x + 3984", "Subtract 21x from both sides: -44x - 634774 = 3984", "Add 634774 to both sides: -44x = 638758", "Divide both sides by -44: x = -319379/22"], "final_answer": "-319379/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 26721) - 20191 = 21x + 3984", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 26721, \"c\": 20191, \"d\": 21, \"e\": 3984}", "seed": "13810071803107364044", "semantic_fingerprint": "sha256:02be46ae386a5c1a491e68cf48529a8101babfbbfc4e099a0e1a24ce4bb1f3ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006126", "prompt": "Calculate: 30807 - (-6442 - (-57481 + (-28101))) + (-7226)", "solution_steps": ["Add: -57481 + (-28101) = -85582", "Subtract: -6442 - (-85582) = 79140", "Subtract: 30807 - 79140 = -48333", "Add: -48333 + (-7226) = -55559"], "final_answer": "-55559", "answer_type": "integer", "kind": "expression", "math_text": "30807 - (-6442 - (-57481 + (-28101))) + (-7226)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30807, \"b\": -6442, \"c\": -57481, \"d\": -28101, \"e\": -7226}", "seed": "8176234370673167482", "semantic_fingerprint": "sha256:a3a09836285fb0720579e93c09fd86e26ae6475d3931d6dec2d8481d1917bf3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006127", "prompt": "Evaluate: 92324 - (83392 - 2222)", "solution_steps": ["Subtract: 83392 - 2222 = 81170", "Subtract: 92324 - 81170 = 11154"], "final_answer": "11154", "answer_type": "integer", "kind": "expression", "math_text": "92324 - (83392 - 2222)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 92324, \"b\": 83392, \"c\": 2222}", "seed": "6794870965540967954", "semantic_fingerprint": "sha256:54466117ddeca69a1f4d2dbe12f1fd4ad1e2fd9cf926efa27ebc5a1570bd18b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006128", "prompt": "Solve for x: 34(x - 62216) - 63785 = 37x - 97197", "solution_steps": ["Expand: 34x - 2115344 - 63785 = 37x - 97197", "Combine constants: 34x - 2179129 = 37x - 97197", "Subtract 37x from both sides: -3x - 2179129 = -97197", "Add 2179129 to both sides: -3x = 2081932", "Divide both sides by -3: x = -2081932/3"], "final_answer": "-2081932/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 62216) - 63785 = 37x - 97197", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 62216, \"c\": 63785, \"d\": 37, \"e\": 97197}", "seed": "9360870272979315344", "semantic_fingerprint": "sha256:50828a892300e93d0e05958d6f6b595e57c1d17c2b8a698bc6fac929192fc074", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006129", "prompt": "What is -37230 - 7968 + (-81665 - (-9048) - 2271 / 92025)?", "solution_steps": ["Subtract: -37230 - 7968 = -45198", "Subtract: -81665 - (-9048) = -72617", "Divide: 2271 / 92025 = 757/30675", "Subtract: -72617 - 757/30675 = -2227527232/30675", "Add: -45198 + (-2227527232/30675) = -3613975882/30675"], "final_answer": "-3613975882/30675", "answer_type": "rational", "kind": "expression", "math_text": "-37230 - 7968 + (-81665 - (-9048) - 2271 / 92025)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (- n n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37230, \"b\": 7968, \"c\": -81665, \"d\": -9048, \"e\": 2271, \"f\": 92025}", "seed": "1055227144088094440", "semantic_fingerprint": "sha256:b70cc498f73f6f66e519a1cdedce4a3b28ec8b220ff9849876cdb2e38accd9da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006130", "prompt": "Find x: -20x + 8580 = -13x + 9210", "solution_steps": ["Add 13x to both sides: -7x + 8580 = 9210", "Subtract 8580 from both sides: -7x = 630", "Divide both sides by -7: x = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20x + 8580 = -13x + 9210", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 8580, \"c\": -13, \"e\": 9210, \"x\": -90}", "seed": "17045336874487600202", "semantic_fingerprint": "sha256:b81f1a60bd65fa82dc2e77a205e4fa5a5db9f5b9250f74a45f4ffea053a0f771", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006131", "prompt": "Solve for x: -37x - 40055 = x", "solution_steps": ["Subtract x from both sides: -38x - 40055 = 0", "Add 40055 to both sides: -38x = 40055", "Divide both sides by -38: x = -40055/38"], "final_answer": "-40055/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37x - 40055 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 40055}", "seed": "1604172749555969938", "semantic_fingerprint": "sha256:4fb594e11b10d95bc5a72e01aea69f51d7ae3ef905b2815a2fa1de34fa467905", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006132", "prompt": "Calculate: -6307 + 82909 - 6520", "solution_steps": ["Add: -6307 + 82909 = 76602", "Subtract: 76602 - 6520 = 70082"], "final_answer": "70082", "answer_type": "integer", "kind": "expression", "math_text": "-6307 + 82909 - 6520", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6307, \"b\": 82909, \"c\": 6520}", "seed": "17157112133201981142", "semantic_fingerprint": "sha256:2c93edf7b6ec4bcc11ab147c2d01a2c9e9cd63f19a450e7b5bc781ace284e388", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006133", "prompt": "What value of x satisfies -18(x + 7177) + 66050 = x - 63535?", "solution_steps": ["Expand: -18x - 129186 + 66050 = x - 63535", "Combine constants: -18x - 63136 = x - 63535", "Subtract x from both sides: -19x - 63136 = -63535", "Add 63136 to both sides: -19x = -399", "Divide both sides by -19: x = 21"], "final_answer": "21", "answer_type": "integer", "kind": "linear_equation", "math_text": "-18(x + 7177) + 66050 = x - 63535", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 7177, \"c\": 66050, \"e\": -63535, \"x\": 21}", "seed": "3407415450249643920", "semantic_fingerprint": "sha256:beca2ed593d9afdab0456e97ce2bc3113f7cb98ca1ba982f214cbdb9ce223de3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006134", "prompt": "What value of x satisfies x - 5295 = -5332?", "solution_steps": ["Add 5295 to both sides: x = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5295 = -5332", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5295, \"c\": -5332, \"x\": -37}", "seed": "14789200620328751296", "semantic_fingerprint": "sha256:f020b82ac7fea48e057238cf1612fccee4e166d3091b93fb905a8d6924c2058a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006135", "prompt": "Compute: (-76403 - 6060 + (-6081)) * 8834 + 41194", "solution_steps": ["Subtract: -76403 - 6060 = -82463", "Add: -82463 + (-6081) = -88544", "Multiply: -88544 * 8834 = -782197696", "Add: -782197696 + 41194 = -782156502"], "final_answer": "-782156502", "answer_type": "integer", "kind": "expression", "math_text": "(-76403 - 6060 + (-6081)) * 8834 + 41194", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -76403, \"b\": 6060, \"c\": -6081, \"d\": 8834, \"e\": 41194}", "seed": "8769534569559645755", "semantic_fingerprint": "sha256:7b7b9aad1c173003b5f9cdf16eb050d413714116a9d72f033edf951d4e6971f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006136", "prompt": "Compute: 2309 * (-88514) / (-35595) - (-8902 - (-12059) - 3999)", "solution_steps": ["Multiply: 2309 * (-88514) = -204378826", "Divide: -204378826 / (-35595) = 204378826/35595", "Subtract: -8902 - (-12059) = 3157", "Subtract: 3157 - 3999 = -842", "Subtract: 204378826/35595 - (-842) = 234349816/35595"], "final_answer": "234349816/35595", "answer_type": "rational", "kind": "expression", "math_text": "2309 * (-88514) / (-35595) - (-8902 - (-12059) - 3999)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2309, \"b\": -88514, \"c\": -35595, \"d\": -8902, \"e\": -12059, \"f\": 3999}", "seed": "3658468587869320620", "semantic_fingerprint": "sha256:6a532eb29699e64945348d7fb8d0c880613ea069f57310cbc12f3bb4e9cdf89c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006137", "prompt": "Find x: 37x = -6660", "solution_steps": ["Divide both sides by 37: x = -180"], "final_answer": "-180", "answer_type": "integer", "kind": "linear_equation", "math_text": "37x = -6660", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 37, \"c\": -6660, \"x\": -180}", "seed": "3906002522947491089", "semantic_fingerprint": "sha256:f09f5b6172c1518111ccae081150f8b3b33d299781b63cf8420d7fc56e67b927", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006138", "prompt": "Compute: 33779 + (-7894 + 6844) * 55174", "solution_steps": ["Add: -7894 + 6844 = -1050", "Multiply: -1050 * 55174 = -57932700", "Add: 33779 + (-57932700) = -57898921"], "final_answer": "-57898921", "answer_type": "integer", "kind": "expression", "math_text": "33779 + (-7894 + 6844) * 55174", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33779, \"b\": -7894, \"c\": 6844, \"d\": 55174}", "seed": "15950021923214308883", "semantic_fingerprint": "sha256:4626a3934818bb8495e801f0dde69fe1a9b0cc9bd91d6923e4d5f3ed66436975", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006139", "prompt": "Calculate: -1697 * (45304 - 76693) * (8268 + (-8220)) - (-3210)", "solution_steps": ["Subtract: 45304 - 76693 = -31389", "Multiply: -1697 * (-31389) = 53267133", "Add: 8268 + (-8220) = 48", "Multiply: 53267133 * 48 = 2556822384", "Subtract: 2556822384 - (-3210) = 2556825594"], "final_answer": "2556825594", "answer_type": "integer", "kind": "expression", "math_text": "-1697 * (45304 - 76693) * (8268 + (-8220)) - (-3210)", "variable": null, "family": "expression_5op", "shape": "(- (* (* n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1697, \"b\": 45304, \"c\": 76693, \"d\": 8268, \"e\": -8220, \"f\": -3210}", "seed": "11371549867234333752", "semantic_fingerprint": "sha256:9348cfc67a6ac3d34795cc4e2b3b635cc3d2e7bc4cca93158583a0a894dc9846", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006140", "prompt": "What is 85537 * 2123 * (-4362)?", "solution_steps": ["Multiply: 85537 * 2123 = 181595051", "Multiply: 181595051 * (-4362) = -792117612462"], "final_answer": "-792117612462", "answer_type": "integer", "kind": "expression", "math_text": "85537 * 2123 * (-4362)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 85537, \"b\": 2123, \"c\": -4362}", "seed": "15689944516493914266", "semantic_fingerprint": "sha256:2d988d29d1e932752399d216cb5f7a3ea095945a29f3a632d4553dfc016bbd3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006141", "prompt": "Find x: 21(x + 4904) = 33(x + 4522) - 44754", "solution_steps": ["Expand: 21x + 102984 = 33(x + 4522) - 44754", "Expand: 21x + 102984 = 33x + 149226 - 44754", "Combine constants: 21x + 102984 = 33x + 104472", "Subtract 33x from both sides: -12x + 102984 = 104472", "Subtract 102984 from both sides: -12x = 1488", "Divide both sides by -12: x = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 4904) = 33(x + 4522) - 44754", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 4904, \"c\": 33, \"d\": 4522, \"f\": -44754, \"x\": -124}", "seed": "1998107203941774017", "semantic_fingerprint": "sha256:593b988260fe23342f8383a55281773a626baf9be6550c12866c8cb6132f362b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006142", "prompt": "Evaluate: -8554 + (6301 + (-3394))", "solution_steps": ["Add: 6301 + (-3394) = 2907", "Add: -8554 + 2907 = -5647"], "final_answer": "-5647", "answer_type": "integer", "kind": "expression", "math_text": "-8554 + (6301 + (-3394))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8554, \"b\": 6301, \"c\": -3394}", "seed": "1037626906318999569", "semantic_fingerprint": "sha256:28b7c2f70c34e300e01f60f7cb0525eeb269778a36d1e5a5021a496d0475979b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006143", "prompt": "What value of x satisfies 40(x + 7949) = 31(x + 7518)?", "solution_steps": ["Expand: 40x + 317960 = 31(x + 7518)", "Expand: 40x + 317960 = 31x + 233058", "Subtract 31x from both sides: 9x + 317960 = 233058", "Subtract 317960 from both sides: 9x = -84902", "Divide both sides by 9: x = -84902/9"], "final_answer": "-84902/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 7949) = 31(x + 7518)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 7949, \"c\": 31, \"d\": 7518}", "seed": "10074227716853617551", "semantic_fingerprint": "sha256:c92d4cd4a64f0f13d9c9e595af904a2df2bea358df41731906041c818b679412", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006144", "prompt": "Compute: -1832 - (-10236) + (-9893)", "solution_steps": ["Subtract: -1832 - (-10236) = 8404", "Add: 8404 + (-9893) = -1489"], "final_answer": "-1489", "answer_type": "integer", "kind": "expression", "math_text": "-1832 - (-10236) + (-9893)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1832, \"b\": -10236, \"c\": -9893}", "seed": "6258533352389985283", "semantic_fingerprint": "sha256:5a048e5ba5f52d15661480cdd319f93d653382a7ce99643382e72a6480ee2a27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006145", "prompt": "Calculate: 15014 / (-6706)", "solution_steps": ["Divide: 15014 / (-6706) = -7507/3353"], "final_answer": "-7507/3353", "answer_type": "rational", "kind": "expression", "math_text": "15014 / (-6706)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15014, \"b\": -6706}", "seed": "3144861094615003920", "semantic_fingerprint": "sha256:6afce93e17e7783f30aa34df26dd28b30e2804532b5ac68b7735348085083fcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006146", "prompt": "Solve for x: x + 44584 = 26(x - 8149)", "solution_steps": ["Expand: x + 44584 = 26x - 211874", "Subtract 26x from both sides: -25x + 44584 = -211874", "Subtract 44584 from both sides: -25x = -256458", "Divide both sides by -25: x = 256458/25"], "final_answer": "256458/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 44584 = 26(x - 8149)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 44584, \"b\": 26, \"c\": 8149}", "seed": "3205681075623046481", "semantic_fingerprint": "sha256:4ec7d7f339dfee3a3316a2d203d39baae256b29876a0f3be44451d752d7a9d2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006147", "prompt": "Calculate: 2995 / (8295 + (-1618 + (-5176)))", "solution_steps": ["Add: -1618 + (-5176) = -6794", "Add: 8295 + (-6794) = 1501", "Divide: 2995 / 1501 = 2995/1501"], "final_answer": "2995/1501", "answer_type": "rational", "kind": "expression", "math_text": "2995 / (8295 + (-1618 + (-5176)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2995, \"b\": 8295, \"c\": -1618, \"d\": -5176}", "seed": "1469926180810085967", "semantic_fingerprint": "sha256:e03510dc913e36d7e3cb30d799026c376a8d7f5fe8ebe913e30c1f224958c6ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006148", "prompt": "Compute: (-5344 + (-9196)) / (-64597 - 82380)", "solution_steps": ["Add: -5344 + (-9196) = -14540", "Subtract: -64597 - 82380 = -146977", "Divide: -14540 / (-146977) = 14540/146977"], "final_answer": "14540/146977", "answer_type": "rational", "kind": "expression", "math_text": "(-5344 + (-9196)) / (-64597 - 82380)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5344, \"b\": -9196, \"c\": -64597, \"d\": 82380}", "seed": "9863919849730537490", "semantic_fingerprint": "sha256:b284424b3f40ec71bf15aa26b77ae2de06cc260825b783495794c935e70d0491", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006149", "prompt": "What value of x satisfies -35x = -6580?", "solution_steps": ["Divide both sides by -35: x = 188"], "final_answer": "188", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35x = -6580", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35, \"c\": -6580, \"x\": 188}", "seed": "11905240535555263127", "semantic_fingerprint": "sha256:fa3ae3c3e2485da476b535a92c78ea1e6af9255744576445ef35df6c6cfffa1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006150", "prompt": "Compute: -49102 + (9231 - (-2953))", "solution_steps": ["Subtract: 9231 - (-2953) = 12184", "Add: -49102 + 12184 = -36918"], "final_answer": "-36918", "answer_type": "integer", "kind": "expression", "math_text": "-49102 + (9231 - (-2953))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -49102, \"b\": 9231, \"c\": -2953}", "seed": "3340956102101717531", "semantic_fingerprint": "sha256:b5149144cb4ea5dbb960fcccb709a27278c1fdd94a5de8f846120021ce9124cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006151", "prompt": "Solve the equation 27(x + 5866) - 8747 = 32x - 3563 for x.", "solution_steps": ["Expand: 27x + 158382 - 8747 = 32x - 3563", "Combine constants: 27x + 149635 = 32x - 3563", "Subtract 32x from both sides: -5x + 149635 = -3563", "Subtract 149635 from both sides: -5x = -153198", "Divide both sides by -5: x = 153198/5"], "final_answer": "153198/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x + 5866) - 8747 = 32x - 3563", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 5866, \"c\": 8747, \"d\": 32, \"e\": 3563}", "seed": "10130648174440324166", "semantic_fingerprint": "sha256:722c856589fa3b66f96f54006215aba999f62cddf6d4a881e3e5cd7e8e9d2cd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006152", "prompt": "What is -96330 - 57071 - 92198?", "solution_steps": ["Subtract: -96330 - 57071 = -153401", "Subtract: -153401 - 92198 = -245599"], "final_answer": "-245599", "answer_type": "integer", "kind": "expression", "math_text": "-96330 - 57071 - 92198", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -96330, \"b\": 57071, \"c\": 92198}", "seed": "6872395002774273524", "semantic_fingerprint": "sha256:1cf867630663a57a3a8ad6824a9ac9d64bb4c31d561c099e8e8d89a2085754e8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006153", "prompt": "Calculate: -3840 + (-7517)", "solution_steps": ["Add: -3840 + (-7517) = -11357"], "final_answer": "-11357", "answer_type": "integer", "kind": "expression", "math_text": "-3840 + (-7517)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3840, \"b\": -7517}", "seed": "13891434252832378247", "semantic_fingerprint": "sha256:62da782742898759c9ae7e0571184d97e96e0be6a5abf58d571f0d0fafbf0471", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006154", "prompt": "Evaluate: 43487 / 7149 + (46957 - 8252)", "solution_steps": ["Divide: 43487 / 7149 = 43487/7149", "Subtract: 46957 - 8252 = 38705", "Add: 43487/7149 + 38705 = 276745532/7149"], "final_answer": "276745532/7149", "answer_type": "rational", "kind": "expression", "math_text": "43487 / 7149 + (46957 - 8252)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 43487, \"b\": 7149, \"c\": 46957, \"d\": 8252}", "seed": "4201454874404719942", "semantic_fingerprint": "sha256:a2984bd8f78ea863c7156d3d8c3473c21aa32748e2bfffca89e050d5a5cc7659", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006155", "prompt": "Compute: 6253 * (-5895) + (-4704)", "solution_steps": ["Multiply: 6253 * (-5895) = -36861435", "Add: -36861435 + (-4704) = -36866139"], "final_answer": "-36866139", "answer_type": "integer", "kind": "expression", "math_text": "6253 * (-5895) + (-4704)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6253, \"b\": -5895, \"c\": -4704}", "seed": "1378480424646676931", "semantic_fingerprint": "sha256:35fad76249cc6d0aa68a4047a058f93f1a602bd2096af0ef9b222cd39de06a6f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006156", "prompt": "Evaluate: 23212 * (-94717)", "solution_steps": ["Multiply: 23212 * (-94717) = -2198571004"], "final_answer": "-2198571004", "answer_type": "integer", "kind": "expression", "math_text": "23212 * (-94717)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 23212, \"b\": -94717}", "seed": "9384645191384345964", "semantic_fingerprint": "sha256:60aa201e792c532d3eb12c5472234551c84c44bf893ad6e7fed0d03cf0cd2b9a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006157", "prompt": "Evaluate: -3781 - (-44126 - (-43581 + 5782))", "solution_steps": ["Add: -43581 + 5782 = -37799", "Subtract: -44126 - (-37799) = -6327", "Subtract: -3781 - (-6327) = 2546"], "final_answer": "2546", "answer_type": "integer", "kind": "expression", "math_text": "-3781 - (-44126 - (-43581 + 5782))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3781, \"b\": -44126, \"c\": -43581, \"d\": 5782}", "seed": "1476947667564236904", "semantic_fingerprint": "sha256:742de35a9e06e9a16f4feb8ea2ec6330ca879bbfbb094551acd64283303681a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006158", "prompt": "Solve for x: 26(x + 19075) = 14(x + 8360)", "solution_steps": ["Expand: 26x + 495950 = 14(x + 8360)", "Expand: 26x + 495950 = 14x + 117040", "Subtract 14x from both sides: 12x + 495950 = 117040", "Subtract 495950 from both sides: 12x = -378910", "Divide both sides by 12: x = -189455/6"], "final_answer": "-189455/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 19075) = 14(x + 8360)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 19075, \"c\": 14, \"d\": 8360}", "seed": "7052726904486184091", "semantic_fingerprint": "sha256:e0d3ec4c2b9b6a452f8a63562752fecddedb3b28531deb4644aa9add0e23f414", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006159", "prompt": "What is -9054 + (-6256 - 2252 / 2117)?", "solution_steps": ["Divide: 2252 / 2117 = 2252/2117", "Subtract: -6256 - 2252/2117 = -13246204/2117", "Add: -9054 + (-13246204/2117) = -32413522/2117"], "final_answer": "-32413522/2117", "answer_type": "rational", "kind": "expression", "math_text": "-9054 + (-6256 - 2252 / 2117)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9054, \"b\": -6256, \"c\": 2252, \"d\": 2117}", "seed": "1595085282412933844", "semantic_fingerprint": "sha256:bc1b873d2ab6aaadfceeb2fb914c4d47773c5c57af0df3c1885c054bbb8b6797", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006160", "prompt": "Compute: (-2121 + (-11282)) / (-60678)", "solution_steps": ["Add: -2121 + (-11282) = -13403", "Divide: -13403 / (-60678) = 13403/60678"], "final_answer": "13403/60678", "answer_type": "rational", "kind": "expression", "math_text": "(-2121 + (-11282)) / (-60678)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2121, \"b\": -11282, \"c\": -60678}", "seed": "14838867862586374631", "semantic_fingerprint": "sha256:00402c1467d338be2dc39a25e1e89af4a2c6f81af899217189e9039316eea9e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006161", "prompt": "Calculate: -5940 / (3664 - 29051)", "solution_steps": ["Subtract: 3664 - 29051 = -25387", "Divide: -5940 / (-25387) = 5940/25387"], "final_answer": "5940/25387", "answer_type": "rational", "kind": "expression", "math_text": "-5940 / (3664 - 29051)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5940, \"b\": 3664, \"c\": 29051}", "seed": "12469855860509096582", "semantic_fingerprint": "sha256:9697492b5651a2cd00e6895407563637a0224e738fd5e4492671c9b416e31afa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006162", "prompt": "Compute: 3359 / (-2574) - (-7017 - (65998 - (-1689)))", "solution_steps": ["Divide: 3359 / (-2574) = -3359/2574", "Subtract: 65998 - (-1689) = 67687", "Subtract: -7017 - 67687 = -74704", "Subtract: -3359/2574 - (-74704) = 192284737/2574"], "final_answer": "192284737/2574", "answer_type": "rational", "kind": "expression", "math_text": "3359 / (-2574) - (-7017 - (65998 - (-1689)))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3359, \"b\": -2574, \"c\": -7017, \"d\": 65998, \"e\": -1689}", "seed": "7324157425462700795", "semantic_fingerprint": "sha256:c5f9e0058b83ba8f693c14cb8fc10594212404f66b875eaea54caa111199a6f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006163", "prompt": "Calculate: 5681 / (-5483 + (-9563) - 3598)", "solution_steps": ["Add: -5483 + (-9563) = -15046", "Subtract: -15046 - 3598 = -18644", "Divide: 5681 / (-18644) = -5681/18644"], "final_answer": "-5681/18644", "answer_type": "rational", "kind": "expression", "math_text": "5681 / (-5483 + (-9563) - 3598)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5681, \"b\": -5483, \"c\": -9563, \"d\": 3598}", "seed": "1759794598527580653", "semantic_fingerprint": "sha256:dbfddabe9377df8ee198cd6d144f015ae5ce551405efdf3518d7ad7147be1539", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006164", "prompt": "Compute: (68922 - (-7812)) * 23953", "solution_steps": ["Subtract: 68922 - (-7812) = 76734", "Multiply: 76734 * 23953 = 1838009502"], "final_answer": "1838009502", "answer_type": "integer", "kind": "expression", "math_text": "(68922 - (-7812)) * 23953", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 68922, \"b\": -7812, \"c\": 23953}", "seed": "17156180652353784202", "semantic_fingerprint": "sha256:26735e314375320275b4126608ce6db82ba4ca8c23b495bd88f9ef5a8739d37f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006165", "prompt": "Evaluate: 50708 / (-6618) * 4597 + (-11015) * (5471 + 3081)", "solution_steps": ["Divide: 50708 / (-6618) = -25354/3309", "Multiply: (-25354/3309) * 4597 = -116552338/3309", "Add: 5471 + 3081 = 8552", "Multiply: -11015 * 8552 = -94200280", "Add: -116552338/3309 + (-94200280) = -311825278858/3309"], "final_answer": "-311825278858/3309", "answer_type": "rational", "kind": "expression", "math_text": "50708 / (-6618) * 4597 + (-11015) * (5471 + 3081)", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 50708, \"b\": -6618, \"c\": 4597, \"d\": -11015, \"e\": 5471, \"f\": 3081}", "seed": "6022673366449559175", "semantic_fingerprint": "sha256:3adedb60d999b268538843181412115089df610855266eadb156466dfa537416", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006166", "prompt": "Compute: -64208 * 6527 / (-8942)", "solution_steps": ["Multiply: -64208 * 6527 = -419085616", "Divide: -419085616 / (-8942) = 209542808/4471"], "final_answer": "209542808/4471", "answer_type": "rational", "kind": "expression", "math_text": "-64208 * 6527 / (-8942)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64208, \"b\": 6527, \"c\": -8942}", "seed": "10193940324134440052", "semantic_fingerprint": "sha256:89d71ee1a4097a4e0584ddbdebd9039b1f837d2a9c60be2d643e04a56f2fd557", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006167", "prompt": "What is (-58056 - (-9248 + (-3711))) * (-9931 - 3179) + 8325?", "solution_steps": ["Add: -9248 + (-3711) = -12959", "Subtract: -58056 - (-12959) = -45097", "Subtract: -9931 - 3179 = -13110", "Multiply: -45097 * (-13110) = 591221670", "Add: 591221670 + 8325 = 591229995"], "final_answer": "591229995", "answer_type": "integer", "kind": "expression", "math_text": "(-58056 - (-9248 + (-3711))) * (-9931 - 3179) + 8325", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n (+ n n)) (- n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -58056, \"b\": -9248, \"c\": -3711, \"d\": -9931, \"e\": 3179, \"f\": 8325}", "seed": "2332026036120654072", "semantic_fingerprint": "sha256:f94991f9379ac9db9a57bb80a09d5196e5cdc282276ac8e7ceeb93b1fe3202b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006168", "prompt": "What value of x satisfies 22(x - 7252) - 4274 = 2754?", "solution_steps": ["Expand: 22x - 159544 - 4274 = 2754", "Combine constants: 22x - 163818 = 2754", "Add 163818 to both sides: 22x = 166572", "Divide both sides by 22: x = 83286/11"], "final_answer": "83286/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 7252) - 4274 = 2754", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 7252, \"c\": 4274, \"d\": 2754}", "seed": "8482855617527008264", "semantic_fingerprint": "sha256:9416ead91f02e7344437cbda10584ad332ad9b66080afe762d714c6697fed0cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006169", "prompt": "Calculate: -59492 / (-68765)", "solution_steps": ["Divide: -59492 / (-68765) = 59492/68765"], "final_answer": "59492/68765", "answer_type": "rational", "kind": "expression", "math_text": "-59492 / (-68765)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59492, \"b\": -68765}", "seed": "3501901122038662580", "semantic_fingerprint": "sha256:e1b3f124e1c5794c67d69d6c69a4135f3c256879fa0218ffe06c10f61b8e5cfb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006170", "prompt": "Calculate: -9399 / (-33086 - 7474)", "solution_steps": ["Subtract: -33086 - 7474 = -40560", "Divide: -9399 / (-40560) = 241/1040"], "final_answer": "241/1040", "answer_type": "rational", "kind": "expression", "math_text": "-9399 / (-33086 - 7474)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9399, \"b\": -33086, \"c\": 7474}", "seed": "3374703923430631514", "semantic_fingerprint": "sha256:4cfe84f91add9013ed32fefebcf7938b28258d245b8e233a62c0c09d159d7985", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006171", "prompt": "Solve the equation x - 70962 = 21x - 29849 for x.", "solution_steps": ["Subtract 21x from both sides: -20x - 70962 = -29849", "Add 70962 to both sides: -20x = 41113", "Divide both sides by -20: x = -41113/20"], "final_answer": "-41113/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 70962 = 21x - 29849", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 70962, \"b\": 21, \"c\": 29849}", "seed": "13935563450542381055", "semantic_fingerprint": "sha256:6faf70693015af7a6e233914e4154adc978978110479d14c74de552bca9725c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006172", "prompt": "Evaluate: 1737 * (7785 * (19402 + (-2460)))", "solution_steps": ["Add: 19402 + (-2460) = 16942", "Multiply: 7785 * 16942 = 131893470", "Multiply: 1737 * 131893470 = 229098957390"], "final_answer": "229098957390", "answer_type": "integer", "kind": "expression", "math_text": "1737 * (7785 * (19402 + (-2460)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1737, \"b\": 7785, \"c\": 19402, \"d\": -2460}", "seed": "9288970784040584190", "semantic_fingerprint": "sha256:33b9d18d876887336a4d0a5963c0a9d03735119fd11c797c3cc2690582b633cc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006173", "prompt": "What is 5386 * (-3361 * (-9624))?", "solution_steps": ["Multiply: -3361 * (-9624) = 32346264", "Multiply: 5386 * 32346264 = 174216977904"], "final_answer": "174216977904", "answer_type": "integer", "kind": "expression", "math_text": "5386 * (-3361 * (-9624))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5386, \"b\": -3361, \"c\": -9624}", "seed": "1183400501198428171", "semantic_fingerprint": "sha256:68b6957453760892dfa0a203c7710e6336d1127c5b327819d16863db921ed333", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006174", "prompt": "What is -4970 * (9947 - (-9861)) - 6334?", "solution_steps": ["Subtract: 9947 - (-9861) = 19808", "Multiply: -4970 * 19808 = -98445760", "Subtract: -98445760 - 6334 = -98452094"], "final_answer": "-98452094", "answer_type": "integer", "kind": "expression", "math_text": "-4970 * (9947 - (-9861)) - 6334", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4970, \"b\": 9947, \"c\": -9861, \"d\": 6334}", "seed": "10839935421972335483", "semantic_fingerprint": "sha256:1b90de88be5107d9312535566a96daba73ac99e4ad7c66e680e8762682048e75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006175", "prompt": "What is 6479 + (1354 + (-32532))?", "solution_steps": ["Add: 1354 + (-32532) = -31178", "Add: 6479 + (-31178) = -24699"], "final_answer": "-24699", "answer_type": "integer", "kind": "expression", "math_text": "6479 + (1354 + (-32532))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6479, \"b\": 1354, \"c\": -32532}", "seed": "7478451763268604709", "semantic_fingerprint": "sha256:b64cc290af61fcdc0ad114e34f5da011e3e7ba947e7549bc99627028a8e2612d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006176", "prompt": "Calculate: 5167 / (19520 / 97524)", "solution_steps": ["Divide: 19520 / 97524 = 4880/24381", "Divide: 5167 / (4880/24381) = 125976627/4880"], "final_answer": "125976627/4880", "answer_type": "rational", "kind": "expression", "math_text": "5167 / (19520 / 97524)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5167, \"b\": 19520, \"c\": 97524}", "seed": "2211102837948095799", "semantic_fingerprint": "sha256:bf55da2d17b4a3e13228f20ced924ef643b37027e4085903abf77d6e0974a7a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006177", "prompt": "Evaluate: -5041 * 2905 + 28703", "solution_steps": ["Multiply: -5041 * 2905 = -14644105", "Add: -14644105 + 28703 = -14615402"], "final_answer": "-14615402", "answer_type": "integer", "kind": "expression", "math_text": "-5041 * 2905 + 28703", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5041, \"b\": 2905, \"c\": 28703}", "seed": "11161640203806116831", "semantic_fingerprint": "sha256:eaff77adeaee4842e8eac3b3e75424a48ae4c05630c6330b237972f36c58a196", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006178", "prompt": "Solve the equation x + 1929 = -30(x + 2551) - 7872 for x.", "solution_steps": ["Expand: x + 1929 = -30x - 76530 - 7872", "Combine constants: x + 1929 = -30x - 84402", "Add 30x to both sides: 31x + 1929 = -84402", "Subtract 1929 from both sides: 31x = -86331", "Divide both sides by 31: x = -86331/31"], "final_answer": "-86331/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1929 = -30(x + 2551) - 7872", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1929, \"b\": -30, \"c\": 2551, \"d\": 7872}", "seed": "16529947754944634439", "semantic_fingerprint": "sha256:a5dbf563823ecbb8f2a428a61674baca2dfa21254acd9edf3f73dac59f696ad1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006179", "prompt": "Calculate: -9647 - 55216 * 5882", "solution_steps": ["Multiply: 55216 * 5882 = 324780512", "Subtract: -9647 - 324780512 = -324790159"], "final_answer": "-324790159", "answer_type": "integer", "kind": "expression", "math_text": "-9647 - 55216 * 5882", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9647, \"b\": 55216, \"c\": 5882}", "seed": "2135576850353099609", "semantic_fingerprint": "sha256:ca96219d52a89859541c3d244351436cbc1aed6b17784aadd578fc9dc82142e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006180", "prompt": "Solve for x: 13(x + 8445) + 17095 = 23(x - 1839) - 6011", "solution_steps": ["Expand: 13x + 109785 + 17095 = 23(x - 1839) - 6011", "Expand: 13x + 109785 + 17095 = 23x - 42297 - 6011", "Combine constants: 13x + 126880 = 23x - 42297 - 6011", "Combine constants: 13x + 126880 = 23x - 48308", "Subtract 23x from both sides: -10x + 126880 = -48308", "Subtract 126880 from both sides: -10x = -175188", "Divide both sides by -10: x = 87594/5"], "final_answer": "87594/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "13(x + 8445) + 17095 = 23(x - 1839) - 6011", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 8445, \"c\": 17095, \"d\": 23, \"e\": 1839, \"f\": 6011}", "seed": "10245026849760233156", "semantic_fingerprint": "sha256:3f8c86469b05b6d38825235f14a7835f144e106a6b306fd20051bdf4a2cc5882", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006181", "prompt": "Compute: 13270 / (-6672 - 2984) * (-6376)", "solution_steps": ["Subtract: -6672 - 2984 = -9656", "Divide: 13270 / (-9656) = -6635/4828", "Multiply: (-6635/4828) * (-6376) = 10576190/1207"], "final_answer": "10576190/1207", "answer_type": "rational", "kind": "expression", "math_text": "13270 / (-6672 - 2984) * (-6376)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13270, \"b\": -6672, \"c\": 2984, \"d\": -6376}", "seed": "11590726370532027541", "semantic_fingerprint": "sha256:7625cdd14eeb8029856f2c67edd5f6de5a9fd464284a231033107a7c2da5c09c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006182", "prompt": "What is 77246 - 78735 - 52984?", "solution_steps": ["Subtract: 77246 - 78735 = -1489", "Subtract: -1489 - 52984 = -54473"], "final_answer": "-54473", "answer_type": "integer", "kind": "expression", "math_text": "77246 - 78735 - 52984", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 77246, \"b\": 78735, \"c\": 52984}", "seed": "12777419876387721475", "semantic_fingerprint": "sha256:7780e4eb66395a0761167c70b0447de26e800adcdc23685e840493e9a3d544dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006183", "prompt": "Find x: 38x + 9806 = -29(x - 28038) + 28040", "solution_steps": ["Expand: 38x + 9806 = -29x + 813102 + 28040", "Combine constants: 38x + 9806 = -29x + 841142", "Add 29x to both sides: 67x + 9806 = 841142", "Subtract 9806 from both sides: 67x = 831336", "Divide both sides by 67: x = 12408"], "final_answer": "12408", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x + 9806 = -29(x - 28038) + 28040", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 9806, \"c\": -29, \"d\": 28038, \"e\": 28040}", "seed": "793362007756059485", "semantic_fingerprint": "sha256:b4173f03a8acaaf627f330b0616c4b526ab8504a46b2951ac1de33138e61a7b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006184", "prompt": "What value of x satisfies -13x - 68445 = x - 9290?", "solution_steps": ["Subtract x from both sides: -14x - 68445 = -9290", "Add 68445 to both sides: -14x = 59155", "Divide both sides by -14: x = -59155/14"], "final_answer": "-59155/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x - 68445 = x - 9290", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 68445, \"c\": 9290}", "seed": "4560933363998905855", "semantic_fingerprint": "sha256:7654f2120711b86c94b1ac1bb4611eaeec66e5a3f55575c4f60cb3b6a4acfaff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006185", "prompt": "Solve for x: x - 22673 = 18x - 21466", "solution_steps": ["Subtract 18x from both sides: -17x - 22673 = -21466", "Add 22673 to both sides: -17x = 1207", "Divide both sides by -17: x = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 22673 = 18x - 21466", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22673, \"b\": 18, \"d\": -21466, \"x\": -71}", "seed": "8186987962698198517", "semantic_fingerprint": "sha256:b875beb8564fa16892c6e85b7962aa3074ab6329d9f45055a3d6fdf4bb3a0101", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006186", "prompt": "Calculate: 2204 - (-87868 - 1670)", "solution_steps": ["Subtract: -87868 - 1670 = -89538", "Subtract: 2204 - (-89538) = 91742"], "final_answer": "91742", "answer_type": "integer", "kind": "expression", "math_text": "2204 - (-87868 - 1670)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2204, \"b\": -87868, \"c\": 1670}", "seed": "8402038738112244485", "semantic_fingerprint": "sha256:9b0f3748bce60aae7674049bd1074058d035ed9a0c4d35a1856ae1f483ceddac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006187", "prompt": "Compute: 8692 - (-5182) - (-27905) - (53938 + (-7095))", "solution_steps": ["Subtract: 8692 - (-5182) = 13874", "Subtract: 13874 - (-27905) = 41779", "Add: 53938 + (-7095) = 46843", "Subtract: 41779 - 46843 = -5064"], "final_answer": "-5064", "answer_type": "integer", "kind": "expression", "math_text": "8692 - (-5182) - (-27905) - (53938 + (-7095))", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8692, \"b\": -5182, \"c\": -27905, \"d\": 53938, \"e\": -7095}", "seed": "15461714256327284945", "semantic_fingerprint": "sha256:c7cb205e2e97f73c0cab4398d41e7c7813e21f5d45e873cbfedd975fbe841a45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006188", "prompt": "What is (59063 - (-6452)) * (-2015 - (-6921))?", "solution_steps": ["Subtract: 59063 - (-6452) = 65515", "Subtract: -2015 - (-6921) = 4906", "Multiply: 65515 * 4906 = 321416590"], "final_answer": "321416590", "answer_type": "integer", "kind": "expression", "math_text": "(59063 - (-6452)) * (-2015 - (-6921))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 59063, \"b\": -6452, \"c\": -2015, \"d\": -6921}", "seed": "12336387186477227841", "semantic_fingerprint": "sha256:7e829f458a700541ed38883443f13404e0de0c9dfd9a63b6fa8449306f88f42d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006189", "prompt": "Calculate: -6794 * (-1258) * (-2073 - (-9527))", "solution_steps": ["Multiply: -6794 * (-1258) = 8546852", "Subtract: -2073 - (-9527) = 7454", "Multiply: 8546852 * 7454 = 63708234808"], "final_answer": "63708234808", "answer_type": "integer", "kind": "expression", "math_text": "-6794 * (-1258) * (-2073 - (-9527))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6794, \"b\": -1258, \"c\": -2073, \"d\": -9527}", "seed": "12910031908696120067", "semantic_fingerprint": "sha256:b99878a6271f9f90d84b60e04504f158259a4c07281b48e7e3e0bd23f5eb0a16", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006190", "prompt": "Calculate: -54045 * ((-1693 + (-91971)) / (6488 - 1747))", "solution_steps": ["Add: -1693 + (-91971) = -93664", "Subtract: 6488 - 1747 = 4741", "Divide: -93664 / 4741 = -93664/4741", "Multiply: -54045 * (-93664/4741) = 5062070880/4741"], "final_answer": "5062070880/4741", "answer_type": "rational", "kind": "expression", "math_text": "-54045 * ((-1693 + (-91971)) / (6488 - 1747))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -54045, \"b\": -1693, \"c\": -91971, \"d\": 6488, \"e\": 1747}", "seed": "4725465757538917650", "semantic_fingerprint": "sha256:431fe893fdd9c0ed6d9f6d2d95787e7c3123525f5e8977bc2ed7a2f9564999b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006191", "prompt": "Solve the equation -20(x + 3777) + 79034 = 37x - 90091 for x.", "solution_steps": ["Expand: -20x - 75540 + 79034 = 37x - 90091", "Combine constants: -20x + 3494 = 37x - 90091", "Subtract 37x from both sides: -57x + 3494 = -90091", "Subtract 3494 from both sides: -57x = -93585", "Divide both sides by -57: x = 31195/19"], "final_answer": "31195/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x + 3777) + 79034 = 37x - 90091", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 3777, \"c\": 79034, \"d\": 37, \"e\": 90091}", "seed": "11542414140640792297", "semantic_fingerprint": "sha256:d4ca040d7cbd0b5637730bef1cb513783b47591224fa682c0d5331a94482ed2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006192", "prompt": "Calculate: 96839 + (-60318 * 2615 + (-64046))", "solution_steps": ["Multiply: -60318 * 2615 = -157731570", "Add: -157731570 + (-64046) = -157795616", "Add: 96839 + (-157795616) = -157698777"], "final_answer": "-157698777", "answer_type": "integer", "kind": "expression", "math_text": "96839 + (-60318 * 2615 + (-64046))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 96839, \"b\": -60318, \"c\": 2615, \"d\": -64046}", "seed": "11332863298363594931", "semantic_fingerprint": "sha256:e1aee48ac308c3efa046cf249914d7ad21c276fd4aa20ffdee0ec0657f2f4209", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006193", "prompt": "Evaluate: -6730 / (-24653)", "solution_steps": ["Divide: -6730 / (-24653) = 6730/24653"], "final_answer": "6730/24653", "answer_type": "rational", "kind": "expression", "math_text": "-6730 / (-24653)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6730, \"b\": -24653}", "seed": "8135447239686282330", "semantic_fingerprint": "sha256:d9b92b939c6eea3c372b3430ea797c4e1c46837f12ef6059c6988f28a25f15f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006194", "prompt": "Evaluate: 1379 - (1135 + 63627 / (-89303))", "solution_steps": ["Divide: 63627 / (-89303) = -63627/89303", "Add: 1135 + (-63627/89303) = 101295278/89303", "Subtract: 1379 - 101295278/89303 = 21853559/89303"], "final_answer": "21853559/89303", "answer_type": "rational", "kind": "expression", "math_text": "1379 - (1135 + 63627 / (-89303))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1379, \"b\": 1135, \"c\": 63627, \"d\": -89303}", "seed": "10474086759470735427", "semantic_fingerprint": "sha256:080a988e6a22757fff14f637a28fbafdf37956740804bc59d4dab2671c6f3667", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006195", "prompt": "Compute: 7216 / (-47679 - (-3288))", "solution_steps": ["Subtract: -47679 - (-3288) = -44391", "Divide: 7216 / (-44391) = -7216/44391"], "final_answer": "-7216/44391", "answer_type": "rational", "kind": "expression", "math_text": "7216 / (-47679 - (-3288))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7216, \"b\": -47679, \"c\": -3288}", "seed": "18183062863602653036", "semantic_fingerprint": "sha256:ade6f9546de7678984d424b63ddf77dc1a15b4ce32b972322b3a139f27906ca4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006196", "prompt": "What is 6075 - (-2256)?", "solution_steps": ["Subtract: 6075 - (-2256) = 8331"], "final_answer": "8331", "answer_type": "integer", "kind": "expression", "math_text": "6075 - (-2256)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6075, \"b\": -2256}", "seed": "16337386970484080286", "semantic_fingerprint": "sha256:82d9982cd8d53bdf749fb259d0ca6cdba9f3198b3c6d1c59baa6b8ba7d21efbb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006197", "prompt": "Solve for x: 36(x + 8278) + 27398 = -35(x - 6227) + 94965", "solution_steps": ["Expand: 36x + 298008 + 27398 = -35(x - 6227) + 94965", "Expand: 36x + 298008 + 27398 = -35x + 217945 + 94965", "Combine constants: 36x + 325406 = -35x + 217945 + 94965", "Combine constants: 36x + 325406 = -35x + 312910", "Add 35x to both sides: 71x + 325406 = 312910", "Subtract 325406 from both sides: 71x = -12496", "Divide both sides by 71: x = -176"], "final_answer": "-176", "answer_type": "integer", "kind": "linear_equation", "math_text": "36(x + 8278) + 27398 = -35(x - 6227) + 94965", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 8278, \"c\": 27398, \"d\": -35, \"e\": 6227, \"g\": 94965, \"x\": -176}", "seed": "14520268392234593903", "semantic_fingerprint": "sha256:be32df497ad9a544a53cd52d3e522a7be318dcb9ee77b0038f40f6735c13b843", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006198", "prompt": "Calculate: 29589 - 5989 + (-2310 - (-3103) * 32716)", "solution_steps": ["Subtract: 29589 - 5989 = 23600", "Multiply: -3103 * 32716 = -101517748", "Subtract: -2310 - (-101517748) = 101515438", "Add: 23600 + 101515438 = 101539038"], "final_answer": "101539038", "answer_type": "integer", "kind": "expression", "math_text": "29589 - 5989 + (-2310 - (-3103) * 32716)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29589, \"b\": 5989, \"c\": -2310, \"d\": -3103, \"e\": 32716}", "seed": "9673975760972333304", "semantic_fingerprint": "sha256:8c1f3cf0325b15d8543ea6ee19696aca850e258fcc7e1d9ab689346271175e57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006199", "prompt": "Compute: (-8325 - (-7126 - 48816)) / 7214", "solution_steps": ["Subtract: -7126 - 48816 = -55942", "Subtract: -8325 - (-55942) = 47617", "Divide: 47617 / 7214 = 47617/7214"], "final_answer": "47617/7214", "answer_type": "rational", "kind": "expression", "math_text": "(-8325 - (-7126 - 48816)) / 7214", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8325, \"b\": -7126, \"c\": 48816, \"d\": 7214}", "seed": "6433967284805705036", "semantic_fingerprint": "sha256:2166ef33adefbde07d8388c65877d6e0e84fcaff26846bae2dc94cb632ee54b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006200", "prompt": "Calculate: -5435 * (-93843) + 7359", "solution_steps": ["Multiply: -5435 * (-93843) = 510036705", "Add: 510036705 + 7359 = 510044064"], "final_answer": "510044064", "answer_type": "integer", "kind": "expression", "math_text": "-5435 * (-93843) + 7359", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5435, \"b\": -93843, \"c\": 7359}", "seed": "16071992832625851515", "semantic_fingerprint": "sha256:a321981b340b83bb509e02cb67ec981d2fc6f9a60c31817bdc63012a6c1bc7a1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006201", "prompt": "Compute: -3326 / (-8590)", "solution_steps": ["Divide: -3326 / (-8590) = 1663/4295"], "final_answer": "1663/4295", "answer_type": "rational", "kind": "expression", "math_text": "-3326 / (-8590)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3326, \"b\": -8590}", "seed": "15589570019059608705", "semantic_fingerprint": "sha256:4e3cc8754b851320f1f1d211b1d8dc0d47ab0c3a285e97c23d3137f16fac59f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006202", "prompt": "Solve the equation -36x + 76026 = x + 69181 for x.", "solution_steps": ["Subtract x from both sides: -37x + 76026 = 69181", "Subtract 76026 from both sides: -37x = -6845", "Divide both sides by -37: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "-36x + 76026 = x + 69181", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 76026, \"d\": 69181, \"x\": 185}", "seed": "6140391475741742254", "semantic_fingerprint": "sha256:4391ad8334b02b474a847d15974d171ebce3daac42f64009bab1af281ca4a367", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006203", "prompt": "What is -1777 / (-1444 / 59977) + (-8268 + (-26735))?", "solution_steps": ["Divide: -1444 / 59977 = -1444/59977", "Divide: -1777 / (-1444/59977) = 106579129/1444", "Add: -8268 + (-26735) = -35003", "Add: 106579129/1444 + (-35003) = 56034797/1444"], "final_answer": "56034797/1444", "answer_type": "rational", "kind": "expression", "math_text": "-1777 / (-1444 / 59977) + (-8268 + (-26735))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1777, \"b\": -1444, \"c\": 59977, \"d\": -8268, \"e\": -26735}", "seed": "9790736085617750414", "semantic_fingerprint": "sha256:1c7b45b14c670a7baae8a1cdc46dd0a87539e63a95d68e17f50e29d73da7be0d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006204", "prompt": "Compute: 6418 * 9363", "solution_steps": ["Multiply: 6418 * 9363 = 60091734"], "final_answer": "60091734", "answer_type": "integer", "kind": "expression", "math_text": "6418 * 9363", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6418, \"b\": 9363}", "seed": "14757275425941655336", "semantic_fingerprint": "sha256:a8942a220b711e6f91ee36adfcc9d321b8c3895bbc33eb4ce1dd71374068f785", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006205", "prompt": "What value of x satisfies -35x + 33120 = 67085?", "solution_steps": ["Subtract 33120 from both sides: -35x = 33965", "Divide both sides by -35: x = -6793/7"], "final_answer": "-6793/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-35x + 33120 = 67085", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 33120, \"c\": 67085}", "seed": "7393136287354469142", "semantic_fingerprint": "sha256:40e2e9fa361f6724f75ad996d685fdb14407b8fde7a1cdb9c881e0653663abc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006206", "prompt": "What is -33595 - 2197 / (-48456)?", "solution_steps": ["Divide: 2197 / (-48456) = -2197/48456", "Subtract: -33595 - (-2197/48456) = -1627877123/48456"], "final_answer": "-1627877123/48456", "answer_type": "rational", "kind": "expression", "math_text": "-33595 - 2197 / (-48456)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33595, \"b\": 2197, \"c\": -48456}", "seed": "17989560307830317764", "semantic_fingerprint": "sha256:03a1450357cd7b911fe7e5216b1426014ab0cff60dbd4803d500477e04f05c79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006207", "prompt": "Find x: 27x + 3440 = -13x", "solution_steps": ["Add 13x to both sides: 40x + 3440 = 0", "Subtract 3440 from both sides: 40x = -3440", "Divide both sides by 40: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x + 3440 = -13x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": -13, \"d\": 3440, \"x\": -86}", "seed": "14186761064064563175", "semantic_fingerprint": "sha256:0648eeeea4977a65412152427aa09af7dcfee9abee8bcb764947377ddb6482e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006208", "prompt": "Calculate: 3347 + 8609 + (-7144)", "solution_steps": ["Add: 3347 + 8609 = 11956", "Add: 11956 + (-7144) = 4812"], "final_answer": "4812", "answer_type": "integer", "kind": "expression", "math_text": "3347 + 8609 + (-7144)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3347, \"b\": 8609, \"c\": -7144}", "seed": "334068128036651196", "semantic_fingerprint": "sha256:4ec071afc50fa9e978ebf8b555da027d0ffffd64e7d79fb7bc6a21e1547a358e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006209", "prompt": "Compute: 1566 - (-6305)", "solution_steps": ["Subtract: 1566 - (-6305) = 7871"], "final_answer": "7871", "answer_type": "integer", "kind": "expression", "math_text": "1566 - (-6305)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1566, \"b\": -6305}", "seed": "16480141046544020124", "semantic_fingerprint": "sha256:96be023638991ee72aaf4115e1c73f8354f72de00077118566d3daa7fafdfb4f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006210", "prompt": "Evaluate: -13169 - 9435", "solution_steps": ["Subtract: -13169 - 9435 = -22604"], "final_answer": "-22604", "answer_type": "integer", "kind": "expression", "math_text": "-13169 - 9435", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -13169, \"b\": 9435}", "seed": "14171485517457519264", "semantic_fingerprint": "sha256:ea57e03976a1ed100ae7e7a7561ae206f88a3819f0ee64fea00143a543293903", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006211", "prompt": "Solve the equation -30(x - 3955) - 1953 = 40x - 64114 for x.", "solution_steps": ["Expand: -30x + 118650 - 1953 = 40x - 64114", "Combine constants: -30x + 116697 = 40x - 64114", "Subtract 40x from both sides: -70x + 116697 = -64114", "Subtract 116697 from both sides: -70x = -180811", "Divide both sides by -70: x = 180811/70"], "final_answer": "180811/70", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x - 3955) - 1953 = 40x - 64114", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 3955, \"c\": 1953, \"d\": 40, \"e\": 64114}", "seed": "2831927254739846142", "semantic_fingerprint": "sha256:4c4cf87d6e74a3ff40c0255dc97c87af330326a14d9898e831fdb99ac84a0f97", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006212", "prompt": "Calculate: 6281 * 51820 + (-3493)", "solution_steps": ["Multiply: 6281 * 51820 = 325481420", "Add: 325481420 + (-3493) = 325477927"], "final_answer": "325477927", "answer_type": "integer", "kind": "expression", "math_text": "6281 * 51820 + (-3493)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6281, \"b\": 51820, \"c\": -3493}", "seed": "4402173565380808791", "semantic_fingerprint": "sha256:3ba19be39dd44ef10048492bee6bc9b1fddca9d32f2bf28b449f98c7d3616ea8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006213", "prompt": "Calculate: (-6240 - 64579) * (-3778)", "solution_steps": ["Subtract: -6240 - 64579 = -70819", "Multiply: -70819 * (-3778) = 267554182"], "final_answer": "267554182", "answer_type": "integer", "kind": "expression", "math_text": "(-6240 - 64579) * (-3778)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6240, \"b\": 64579, \"c\": -3778}", "seed": "2010436537729382023", "semantic_fingerprint": "sha256:2c592aa516906fdc5cf0f2de2b5dbf9abbf4273f676fa238d7f25091f2a13603", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006214", "prompt": "Solve the equation -18(x - 4081) = x for x.", "solution_steps": ["Expand: -18x + 73458 = x", "Subtract x from both sides: -19x + 73458 = 0", "Subtract 73458 from both sides: -19x = -73458", "Divide both sides by -19: x = 73458/19"], "final_answer": "73458/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x - 4081) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 4081}", "seed": "8927667068942340998", "semantic_fingerprint": "sha256:d725986e3602237720bc02315d9087ac840bf5d34ea8710493b778928c6c94da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006215", "prompt": "Solve for x: -17(x + 3320) = -59721", "solution_steps": ["Expand: -17x - 56440 = -59721", "Add 56440 to both sides: -17x = -3281", "Divide both sides by -17: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17(x + 3320) = -59721", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 3320, \"d\": -59721, \"x\": 193}", "seed": "473487183439765035", "semantic_fingerprint": "sha256:08390472540d3bb15d0e18f2374ea3aaf183054551bd082def293d814f044b32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006216", "prompt": "Solve for x: 31(x + 66745) + 1242 = 28(x - 1457) + 6856", "solution_steps": ["Expand: 31x + 2069095 + 1242 = 28(x - 1457) + 6856", "Expand: 31x + 2069095 + 1242 = 28x - 40796 + 6856", "Combine constants: 31x + 2070337 = 28x - 40796 + 6856", "Combine constants: 31x + 2070337 = 28x - 33940", "Subtract 28x from both sides: 3x + 2070337 = -33940", "Subtract 2070337 from both sides: 3x = -2104277", "Divide both sides by 3: x = -2104277/3"], "final_answer": "-2104277/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "31(x + 66745) + 1242 = 28(x - 1457) + 6856", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 66745, \"c\": 1242, \"d\": 28, \"e\": 1457, \"f\": 6856}", "seed": "16188971331386999745", "semantic_fingerprint": "sha256:51c4a68ace00f9dfabdfc42865948b99d7b20540fc1f7d6009efbea6ad303f57", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006217", "prompt": "Evaluate: -5958 * (-9717) / (-27238)", "solution_steps": ["Multiply: -5958 * (-9717) = 57893886", "Divide: 57893886 / (-27238) = -28946943/13619"], "final_answer": "-28946943/13619", "answer_type": "rational", "kind": "expression", "math_text": "-5958 * (-9717) / (-27238)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5958, \"b\": -9717, \"c\": -27238}", "seed": "3689007390396840140", "semantic_fingerprint": "sha256:d02de2927a6dc835836a3dd8d6dd810417db2b7068261672b88c57286221c4f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006218", "prompt": "Evaluate: 6326 * (-6014)", "solution_steps": ["Multiply: 6326 * (-6014) = -38044564"], "final_answer": "-38044564", "answer_type": "integer", "kind": "expression", "math_text": "6326 * (-6014)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6326, \"b\": -6014}", "seed": "5274982532879921891", "semantic_fingerprint": "sha256:4df886663b223bddf6a3cbbdeb9c246a6cf81d51b1a3e8f10f018966908db06e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006219", "prompt": "Solve the equation 38x = 20x - 1620 for x.", "solution_steps": ["Subtract 20x from both sides: 18x = -1620", "Divide both sides by 18: x = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = 20x - 1620", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 20, \"d\": -1620, \"x\": -90}", "seed": "7268672690418572697", "semantic_fingerprint": "sha256:0d290d656c5546c7214d307dfa636f5621cb62ce106d37955c6edc9dcc7515d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006220", "prompt": "Solve for x: x + 1207 = 15x + 2859", "solution_steps": ["Subtract 15x from both sides: -14x + 1207 = 2859", "Subtract 1207 from both sides: -14x = 1652", "Divide both sides by -14: x = -118"], "final_answer": "-118", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1207 = 15x + 2859", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1207, \"b\": 15, \"d\": 2859, \"x\": -118}", "seed": "537668291975624997", "semantic_fingerprint": "sha256:307852c8f3e630dce609df513c64d96a1e9d57da42115cbe72a90453c046b3b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006221", "prompt": "Compute: -7765 - 95536", "solution_steps": ["Subtract: -7765 - 95536 = -103301"], "final_answer": "-103301", "answer_type": "integer", "kind": "expression", "math_text": "-7765 - 95536", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7765, \"b\": 95536}", "seed": "11052269189836538967", "semantic_fingerprint": "sha256:86704239b110f954464bee30f938038bb0889f032a79153ed75fdb16e6cbe273", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006222", "prompt": "What is -5530 * 53991?", "solution_steps": ["Multiply: -5530 * 53991 = -298570230"], "final_answer": "-298570230", "answer_type": "integer", "kind": "expression", "math_text": "-5530 * 53991", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5530, \"b\": 53991}", "seed": "14698159534555015981", "semantic_fingerprint": "sha256:cc057e89708b9d4dde0a4d2609ab5b0e98603566abd767f040fb08e00419fc6c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006223", "prompt": "Calculate: 87817 / (-62740)", "solution_steps": ["Divide: 87817 / (-62740) = -87817/62740"], "final_answer": "-87817/62740", "answer_type": "rational", "kind": "expression", "math_text": "87817 / (-62740)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 87817, \"b\": -62740}", "seed": "13383382203357910348", "semantic_fingerprint": "sha256:7fcefd7b4108d2a1a264536864728aab4ca64ac38cd988aa7c6610ea7ddfcbc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006224", "prompt": "Find x: x - 86092 = 37(x + 6925)", "solution_steps": ["Expand: x - 86092 = 37x + 256225", "Subtract 37x from both sides: -36x - 86092 = 256225", "Add 86092 to both sides: -36x = 342317", "Divide both sides by -36: x = -342317/36"], "final_answer": "-342317/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 86092 = 37(x + 6925)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86092, \"b\": 37, \"c\": 6925}", "seed": "13708216240375463516", "semantic_fingerprint": "sha256:2086b506275287c8fac562b7f07344748738768c7fccfa00f1241677ed9760e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006225", "prompt": "Calculate: (-87073 + (-8711)) * (-78098)", "solution_steps": ["Add: -87073 + (-8711) = -95784", "Multiply: -95784 * (-78098) = 7480538832"], "final_answer": "7480538832", "answer_type": "integer", "kind": "expression", "math_text": "(-87073 + (-8711)) * (-78098)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -87073, \"b\": -8711, \"c\": -78098}", "seed": "11154532856519108585", "semantic_fingerprint": "sha256:a87d32d2f2dca902c0789d32546221db82db0078d9364c50582e12fdc67004e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006226", "prompt": "Solve for x: 25x + 4699 = x - 1634", "solution_steps": ["Subtract x from both sides: 24x + 4699 = -1634", "Subtract 4699 from both sides: 24x = -6333", "Divide both sides by 24: x = -2111/8"], "final_answer": "-2111/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x + 4699 = x - 1634", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 4699, \"c\": 1634}", "seed": "3387891754771799030", "semantic_fingerprint": "sha256:93fc5ef0de1e83c95613c5cc398ca74bcdd0c0bc855cf003faa32cc74c65bf12", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006227", "prompt": "What is 4006 - 5292 / (-3421)?", "solution_steps": ["Divide: 5292 / (-3421) = -5292/3421", "Subtract: 4006 - (-5292/3421) = 13709818/3421"], "final_answer": "13709818/3421", "answer_type": "rational", "kind": "expression", "math_text": "4006 - 5292 / (-3421)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4006, \"b\": 5292, \"c\": -3421}", "seed": "16353268823149259755", "semantic_fingerprint": "sha256:3efce46a8d589f36a285caff71790b90ec703328a3e6436d045ec584ba0adf30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006228", "prompt": "Solve the equation -31x - 47288 = -37x + 8369 for x.", "solution_steps": ["Add 37x to both sides: 6x - 47288 = 8369", "Add 47288 to both sides: 6x = 55657", "Divide both sides by 6: x = 55657/6"], "final_answer": "55657/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-31x - 47288 = -37x + 8369", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -31, \"b\": 47288, \"c\": -37, \"d\": 8369}", "seed": "15091942021807651854", "semantic_fingerprint": "sha256:cea1522c391d33da976e7216d4aa0488a84020a35fa913d7a0359cd95e073821", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006229", "prompt": "Compute: 37050 + 5931 - (-45181 + 1258 + (-5748))", "solution_steps": ["Add: 37050 + 5931 = 42981", "Add: -45181 + 1258 = -43923", "Add: -43923 + (-5748) = -49671", "Subtract: 42981 - (-49671) = 92652"], "final_answer": "92652", "answer_type": "integer", "kind": "expression", "math_text": "37050 + 5931 - (-45181 + 1258 + (-5748))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37050, \"b\": 5931, \"c\": -45181, \"d\": 1258, \"e\": -5748}", "seed": "1845108232484720238", "semantic_fingerprint": "sha256:5d554173c53a5be718cbf9b9ac51ac269de44aa5524115220b9b3fdd4ac16cb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006230", "prompt": "Solve the equation -19(x - 6560) + 22343 = 24x for x.", "solution_steps": ["Expand: -19x + 124640 + 22343 = 24x", "Combine constants: -19x + 146983 = 24x", "Subtract 24x from both sides: -43x + 146983 = 0", "Subtract 146983 from both sides: -43x = -146983", "Divide both sides by -43: x = 146983/43"], "final_answer": "146983/43", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 6560) + 22343 = 24x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 6560, \"c\": 22343, \"d\": 24}", "seed": "10176770267685215970", "semantic_fingerprint": "sha256:21f54974a136f79548893c7ecc75501801def4fbeed1c766347be8eba5fd7997", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006231", "prompt": "Evaluate: -2441 * (-5244)", "solution_steps": ["Multiply: -2441 * (-5244) = 12800604"], "final_answer": "12800604", "answer_type": "integer", "kind": "expression", "math_text": "-2441 * (-5244)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2441, \"b\": -5244}", "seed": "9314000602321667409", "semantic_fingerprint": "sha256:44710fec532e7af29dc89992ecad80b314c3fd001e3616e240a5fdc4a1369b44", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006232", "prompt": "Compute: 5387 - (-5622) - (-67266)", "solution_steps": ["Subtract: 5387 - (-5622) = 11009", "Subtract: 11009 - (-67266) = 78275"], "final_answer": "78275", "answer_type": "integer", "kind": "expression", "math_text": "5387 - (-5622) - (-67266)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5387, \"b\": -5622, \"c\": -67266}", "seed": "18184361555551106687", "semantic_fingerprint": "sha256:bef48ae2cede99c52d3f3d3b9c4239f3a5cf7f5c81297baeed947eb8a67772ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006233", "prompt": "Calculate: 9065 - 4821", "solution_steps": ["Subtract: 9065 - 4821 = 4244"], "final_answer": "4244", "answer_type": "integer", "kind": "expression", "math_text": "9065 - 4821", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9065, \"b\": 4821}", "seed": "6380191337580786483", "semantic_fingerprint": "sha256:52396b5e6a3e5278b455bc009649c6d8ddf9bf93874abff842c849b96c62394d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006234", "prompt": "Solve for x: 14(x + 19942) = x", "solution_steps": ["Expand: 14x + 279188 = x", "Subtract x from both sides: 13x + 279188 = 0", "Subtract 279188 from both sides: 13x = -279188", "Divide both sides by 13: x = -21476"], "final_answer": "-21476", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x + 19942) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 19942}", "seed": "13280805512530253833", "semantic_fingerprint": "sha256:f4ff0893e59499e125c26421bd09abbec5adc112d6b05f8c6185f1f986f6087a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006235", "prompt": "Calculate: 2856 * (-69211)", "solution_steps": ["Multiply: 2856 * (-69211) = -197666616"], "final_answer": "-197666616", "answer_type": "integer", "kind": "expression", "math_text": "2856 * (-69211)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2856, \"b\": -69211}", "seed": "11218696138809164177", "semantic_fingerprint": "sha256:caa2306317206365880e82d6b9d9c8caefff1e139596ba30b4abaf746eda7016", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006236", "prompt": "What value of x satisfies x + 40092 = 17x + 8089?", "solution_steps": ["Subtract 17x from both sides: -16x + 40092 = 8089", "Subtract 40092 from both sides: -16x = -32003", "Divide both sides by -16: x = 32003/16"], "final_answer": "32003/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 40092 = 17x + 8089", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40092, \"b\": 17, \"c\": 8089}", "seed": "8960114323386072448", "semantic_fingerprint": "sha256:166b8d79d8446ccd3bf5a01a12a1c64c077a83d092661ab83efb2c41a7fb742a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006237", "prompt": "Calculate: (-8903 + 33020 / (-14257)) * (-9093 - (-2167 + (-9319)))", "solution_steps": ["Divide: 33020 / (-14257) = -33020/14257", "Add: -8903 + (-33020/14257) = -126963091/14257", "Add: -2167 + (-9319) = -11486", "Subtract: -9093 - (-11486) = 2393", "Multiply: (-126963091/14257) * 2393 = -303822676763/14257"], "final_answer": "-303822676763/14257", "answer_type": "rational", "kind": "expression", "math_text": "(-8903 + 33020 / (-14257)) * (-9093 - (-2167 + (-9319)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8903, \"b\": 33020, \"c\": -14257, \"d\": -9093, \"e\": -2167, \"f\": -9319}", "seed": "2200322962281358326", "semantic_fingerprint": "sha256:04b24d9bc632a54c7dd360aa80ae23b5ae3544b10fdcd05cc3e1a8dfe5a5cbff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006238", "prompt": "Find x: 39x - 3122 = 13x", "solution_steps": ["Subtract 13x from both sides: 26x - 3122 = 0", "Add 3122 to both sides: 26x = 3122", "Divide both sides by 26: x = 1561/13"], "final_answer": "1561/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x - 3122 = 13x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 3122, \"c\": 13}", "seed": "2197130359524890471", "semantic_fingerprint": "sha256:a34ce42f132d63d2546ceacb1159b1f88a819d9e26b9e3540aeb9c675c333690", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006239", "prompt": "What is 7873 * (-3387 - (-9401)) - (-71726)?", "solution_steps": ["Subtract: -3387 - (-9401) = 6014", "Multiply: 7873 * 6014 = 47348222", "Subtract: 47348222 - (-71726) = 47419948"], "final_answer": "47419948", "answer_type": "integer", "kind": "expression", "math_text": "7873 * (-3387 - (-9401)) - (-71726)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7873, \"b\": -3387, \"c\": -9401, \"d\": -71726}", "seed": "9338275397537255567", "semantic_fingerprint": "sha256:bfed0e9542f8d5eb22200aaf005e07122cc8b79b19698fb4862186a1b6408c1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006240", "prompt": "Solve the equation -13x + 10087 = 20(x + 58232) for x.", "solution_steps": ["Expand: -13x + 10087 = 20x + 1164640", "Subtract 20x from both sides: -33x + 10087 = 1164640", "Subtract 10087 from both sides: -33x = 1154553", "Divide both sides by -33: x = -384851/11"], "final_answer": "-384851/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x + 10087 = 20(x + 58232)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 10087, \"c\": 20, \"d\": 58232}", "seed": "5160330079272125676", "semantic_fingerprint": "sha256:d4f8f0734c2ed2d61cee03ca06dc3180be547629a40737dce11011680b67400d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006241", "prompt": "What value of x satisfies -20x + 43831 = 25(x - 6063) + 4239?", "solution_steps": ["Expand: -20x + 43831 = 25x - 151575 + 4239", "Combine constants: -20x + 43831 = 25x - 147336", "Subtract 25x from both sides: -45x + 43831 = -147336", "Subtract 43831 from both sides: -45x = -191167", "Divide both sides by -45: x = 191167/45"], "final_answer": "191167/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x + 43831 = 25(x - 6063) + 4239", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 43831, \"c\": 25, \"d\": 6063, \"e\": 4239}", "seed": "9511248119699390404", "semantic_fingerprint": "sha256:8193d8dd32723cc4e5dd590fce914195c8fa8258fda53eb7de37588c844c7bf0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006242", "prompt": "What is -68798 / (-91286) + (85562 + (5376 - 35893))?", "solution_steps": ["Divide: -68798 / (-91286) = 34399/45643", "Subtract: 5376 - 35893 = -30517", "Add: 85562 + (-30517) = 55045", "Add: 34399/45643 + 55045 = 2512453334/45643"], "final_answer": "2512453334/45643", "answer_type": "rational", "kind": "expression", "math_text": "-68798 / (-91286) + (85562 + (5376 - 35893))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -68798, \"b\": -91286, \"c\": 85562, \"d\": 5376, \"e\": 35893}", "seed": "244543689070614462", "semantic_fingerprint": "sha256:807e0075542907d5937ce3e3bda86f2d4caa080384e761f47554c12da9c661f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006243", "prompt": "What is 4721 - (-25685) - 73143?", "solution_steps": ["Subtract: 4721 - (-25685) = 30406", "Subtract: 30406 - 73143 = -42737"], "final_answer": "-42737", "answer_type": "integer", "kind": "expression", "math_text": "4721 - (-25685) - 73143", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4721, \"b\": -25685, \"c\": 73143}", "seed": "3702212913559171303", "semantic_fingerprint": "sha256:ebc4519646c7dcaac3ffd90685c303931ed67f83b621ed9e1497b84e0d9a46eb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006244", "prompt": "What is 3938 / 44578 * 65821 + 51569?", "solution_steps": ["Divide: 3938 / 44578 = 1969/22289", "Multiply: (1969/22289) * 65821 = 129601549/22289", "Add: 129601549/22289 + 51569 = 1279022990/22289"], "final_answer": "1279022990/22289", "answer_type": "rational", "kind": "expression", "math_text": "3938 / 44578 * 65821 + 51569", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3938, \"b\": 44578, \"c\": 65821, \"d\": 51569}", "seed": "1424688075262959712", "semantic_fingerprint": "sha256:af4fe176e2c5de5a5111dfea12baa701af6432b7b05a35cffe91b6be292c6161", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006245", "prompt": "Find x: -15x = 19x - 3570", "solution_steps": ["Subtract 19x from both sides: -34x = -3570", "Divide both sides by -34: x = 105"], "final_answer": "105", "answer_type": "integer", "kind": "linear_equation", "math_text": "-15x = 19x - 3570", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 19, \"d\": -3570, \"x\": 105}", "seed": "15441064879556765088", "semantic_fingerprint": "sha256:7eccfa7d426f6da49b1a0fa4fd7121e848477c6f50eef1aeb7eb7bef5a8f78d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006246", "prompt": "Calculate: 2618 / ((1742 + 19167) / 26397)", "solution_steps": ["Add: 1742 + 19167 = 20909", "Divide: 20909 / 26397 = 2987/3771", "Divide: 2618 / (2987/3771) = 9872478/2987"], "final_answer": "9872478/2987", "answer_type": "rational", "kind": "expression", "math_text": "2618 / ((1742 + 19167) / 26397)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2618, \"b\": 1742, \"c\": 19167, \"d\": 26397}", "seed": "1696171144991324826", "semantic_fingerprint": "sha256:6070eb07ab727e53480a84c2d3ab0ddd102ea3876286c20b5fe6ad6ee66d1676", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006247", "prompt": "Solve the equation 27(x - 8474) = x + 1450 for x.", "solution_steps": ["Expand: 27x - 228798 = x + 1450", "Subtract x from both sides: 26x - 228798 = 1450", "Add 228798 to both sides: 26x = 230248", "Divide both sides by 26: x = 115124/13"], "final_answer": "115124/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 8474) = x + 1450", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 8474, \"c\": 1450}", "seed": "17831346970096238877", "semantic_fingerprint": "sha256:f6fb722bd7f53781e1f7cf9c5bdc1553bf46d25b9b41381731afd8699609ac68", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006248", "prompt": "Compute: -5082 / (-95942) + 2973 - (-9804)", "solution_steps": ["Divide: -5082 / (-95942) = 33/623", "Add: 33/623 + 2973 = 1852212/623", "Subtract: 1852212/623 - (-9804) = 7960104/623"], "final_answer": "7960104/623", "answer_type": "rational", "kind": "expression", "math_text": "-5082 / (-95942) + 2973 - (-9804)", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5082, \"b\": -95942, \"c\": 2973, \"d\": -9804}", "seed": "9114702180184397684", "semantic_fingerprint": "sha256:1b785541d26c2cbdfac4a32699545253c7b11fae91bbd6be0474714b6d86a7bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006249", "prompt": "Calculate: 21598 - (-8139 - (-65861)) - (-24987) / 6836", "solution_steps": ["Subtract: -8139 - (-65861) = 57722", "Subtract: 21598 - 57722 = -36124", "Divide: -24987 / 6836 = -24987/6836", "Subtract: -36124 - (-24987/6836) = -246918677/6836"], "final_answer": "-246918677/6836", "answer_type": "rational", "kind": "expression", "math_text": "21598 - (-8139 - (-65861)) - (-24987) / 6836", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21598, \"b\": -8139, \"c\": -65861, \"d\": -24987, \"e\": 6836}", "seed": "15693665780494573433", "semantic_fingerprint": "sha256:40e997ca95d23de7ee8a588cd006e3efae08a413df6d331fdadecdc2cefc821c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006250", "prompt": "Solve for x: -17(x + 8750) + 10022 = 34(x - 73200) - 7316", "solution_steps": ["Expand: -17x - 148750 + 10022 = 34(x - 73200) - 7316", "Expand: -17x - 148750 + 10022 = 34x - 2488800 - 7316", "Combine constants: -17x - 138728 = 34x - 2488800 - 7316", "Combine constants: -17x - 138728 = 34x - 2496116", "Subtract 34x from both sides: -51x - 138728 = -2496116", "Add 138728 to both sides: -51x = -2357388", "Divide both sides by -51: x = 785796/17"], "final_answer": "785796/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 8750) + 10022 = 34(x - 73200) - 7316", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 8750, \"c\": 10022, \"d\": 34, \"e\": 73200, \"f\": 7316}", "seed": "14348196689761141203", "semantic_fingerprint": "sha256:6be9e5eda1bc79ba0e9c1cb6faf4b6a40ab9d85ba1ed8797dc6ebd1a935cb942", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006251", "prompt": "Compute: 5846 + (79138 - 5406)", "solution_steps": ["Subtract: 79138 - 5406 = 73732", "Add: 5846 + 73732 = 79578"], "final_answer": "79578", "answer_type": "integer", "kind": "expression", "math_text": "5846 + (79138 - 5406)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5846, \"b\": 79138, \"c\": 5406}", "seed": "18419528111110100086", "semantic_fingerprint": "sha256:6a82db03e633841a660fde16131faf46afd7f29a052fff0ed791e68acc27a126", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006252", "prompt": "Evaluate: -24459 * (1008 / 9102) - 53081", "solution_steps": ["Divide: 1008 / 9102 = 168/1517", "Multiply: -24459 * (168/1517) = -4109112/1517", "Subtract: -4109112/1517 - 53081 = -84632989/1517"], "final_answer": "-84632989/1517", "answer_type": "rational", "kind": "expression", "math_text": "-24459 * (1008 / 9102) - 53081", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24459, \"b\": 1008, \"c\": 9102, \"d\": 53081}", "seed": "4601439613235420574", "semantic_fingerprint": "sha256:c4be3b7a77409b9518b7dc2f0ebaf9376ebab55f9c1fd681ed887e09b37268ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006253", "prompt": "Solve the equation x + 4123 = 4204 for x.", "solution_steps": ["Subtract 4123 from both sides: x = 81"], "final_answer": "81", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4123 = 4204", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4123, \"c\": 4204, \"x\": 81}", "seed": "4203069870613258069", "semantic_fingerprint": "sha256:1fc0db1ff86e906f8e42dca417313679af4e14915f2b5f46709f24518eebd4a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006254", "prompt": "Compute: 86747 * (9620 + (-9883) - 7199)", "solution_steps": ["Add: 9620 + (-9883) = -263", "Subtract: -263 - 7199 = -7462", "Multiply: 86747 * (-7462) = -647306114"], "final_answer": "-647306114", "answer_type": "integer", "kind": "expression", "math_text": "86747 * (9620 + (-9883) - 7199)", "variable": null, "family": "expression_3op", "shape": "(* n (- (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 86747, \"b\": 9620, \"c\": -9883, \"d\": 7199}", "seed": "8613290649400949309", "semantic_fingerprint": "sha256:3950c0401132e19784af59fc27ffce11b135b724a1411f1fd4742442bebdc62d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006255", "prompt": "What is 36260 * (4091 - 1146)?", "solution_steps": ["Subtract: 4091 - 1146 = 2945", "Multiply: 36260 * 2945 = 106785700"], "final_answer": "106785700", "answer_type": "integer", "kind": "expression", "math_text": "36260 * (4091 - 1146)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36260, \"b\": 4091, \"c\": 1146}", "seed": "7456869526707967678", "semantic_fingerprint": "sha256:75528ea965120991e0e2319b495613f60aec3a4e7afb8ebb2aa1564961f9cab9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006256", "prompt": "What is 5103 + (-5491) - (-25455 - 44330)?", "solution_steps": ["Add: 5103 + (-5491) = -388", "Subtract: -25455 - 44330 = -69785", "Subtract: -388 - (-69785) = 69397"], "final_answer": "69397", "answer_type": "integer", "kind": "expression", "math_text": "5103 + (-5491) - (-25455 - 44330)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5103, \"b\": -5491, \"c\": -25455, \"d\": 44330}", "seed": "12162207923675436771", "semantic_fingerprint": "sha256:278492a875feecd569da14d988fceb57dde11d02cb001c2e888b874a62ed4078", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006257", "prompt": "Evaluate: -1368 - (-3934 - 47230) * 1751 - (2195 + (-2052))", "solution_steps": ["Subtract: -3934 - 47230 = -51164", "Multiply: -51164 * 1751 = -89588164", "Subtract: -1368 - (-89588164) = 89586796", "Add: 2195 + (-2052) = 143", "Subtract: 89586796 - 143 = 89586653"], "final_answer": "89586653", "answer_type": "integer", "kind": "expression", "math_text": "-1368 - (-3934 - 47230) * 1751 - (2195 + (-2052))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1368, \"b\": -3934, \"c\": 47230, \"d\": 1751, \"e\": 2195, \"f\": -2052}", "seed": "5148848436299210629", "semantic_fingerprint": "sha256:52bc80c4061364bce234821a26a075f3e232bbe6ee14a5b2e6fb3d168582b159", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006258", "prompt": "Calculate: -29331 / 45388", "solution_steps": ["Divide: -29331 / 45388 = -29331/45388"], "final_answer": "-29331/45388", "answer_type": "rational", "kind": "expression", "math_text": "-29331 / 45388", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -29331, \"b\": 45388}", "seed": "2690002240126594447", "semantic_fingerprint": "sha256:d918cfb5d33230a9674b6970846b2b09ea58c1eb9d77a29bac6b6c539f44cb76", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006259", "prompt": "Calculate: (8925 + 74447) / (-9933) * 5489", "solution_steps": ["Add: 8925 + 74447 = 83372", "Divide: 83372 / (-9933) = -83372/9933", "Multiply: (-83372/9933) * 5489 = -41602628/903"], "final_answer": "-41602628/903", "answer_type": "rational", "kind": "expression", "math_text": "(8925 + 74447) / (-9933) * 5489", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8925, \"b\": 74447, \"c\": -9933, \"d\": 5489}", "seed": "11691476995756919642", "semantic_fingerprint": "sha256:a9d838fb06f7b832a68aff54ad8c70cbaa1596fa93156354ba58717fbf1c41a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006260", "prompt": "Solve the equation -37x - 65115 = x + 4360 for x.", "solution_steps": ["Subtract x from both sides: -38x - 65115 = 4360", "Add 65115 to both sides: -38x = 69475", "Divide both sides by -38: x = -69475/38"], "final_answer": "-69475/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "-37x - 65115 = x + 4360", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 65115, \"c\": 4360}", "seed": "6329193270830632199", "semantic_fingerprint": "sha256:33bf684d51cfb92f74b9b3d430599e563fc85b5d6fef0378468adaccb4a097b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006261", "prompt": "Evaluate: -64067 + 3513 / 89662", "solution_steps": ["Divide: 3513 / 89662 = 3513/89662", "Add: -64067 + 3513/89662 = -5744371841/89662"], "final_answer": "-5744371841/89662", "answer_type": "rational", "kind": "expression", "math_text": "-64067 + 3513 / 89662", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64067, \"b\": 3513, \"c\": 89662}", "seed": "3559674081159370928", "semantic_fingerprint": "sha256:d3f4297637ee5c95f65d14125a2a377af7b063934cc6efcf560878c61fa9980c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006262", "prompt": "What is -2494 * 9117?", "solution_steps": ["Multiply: -2494 * 9117 = -22737798"], "final_answer": "-22737798", "answer_type": "integer", "kind": "expression", "math_text": "-2494 * 9117", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2494, \"b\": 9117}", "seed": "1064946228104145079", "semantic_fingerprint": "sha256:dca59f58312d7dec065eb4773556589f6b94a8b90af0625336cd25b0dcf39ee1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006263", "prompt": "Evaluate: -2085 + (-3977)", "solution_steps": ["Add: -2085 + (-3977) = -6062"], "final_answer": "-6062", "answer_type": "integer", "kind": "expression", "math_text": "-2085 + (-3977)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2085, \"b\": -3977}", "seed": "17082261008265303014", "semantic_fingerprint": "sha256:b155d46dddb11818da9252f3a161869b69871cead35a37ce87591920877336c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006264", "prompt": "Find x: x - 69859 = 30(x + 4552) + 20196", "solution_steps": ["Expand: x - 69859 = 30x + 136560 + 20196", "Combine constants: x - 69859 = 30x + 156756", "Subtract 30x from both sides: -29x - 69859 = 156756", "Add 69859 to both sides: -29x = 226615", "Divide both sides by -29: x = -226615/29"], "final_answer": "-226615/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 69859 = 30(x + 4552) + 20196", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 69859, \"b\": 30, \"c\": 4552, \"d\": 20196}", "seed": "5625285756733190127", "semantic_fingerprint": "sha256:fd9c0e43e0f4c6859639663f530b4393409e883a19733ae23226f1bd430459ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006265", "prompt": "Find x: x + 6645 = 18x + 9059", "solution_steps": ["Subtract 18x from both sides: -17x + 6645 = 9059", "Subtract 6645 from both sides: -17x = 2414", "Divide both sides by -17: x = -142"], "final_answer": "-142", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6645 = 18x + 9059", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6645, \"b\": 18, \"d\": 9059, \"x\": -142}", "seed": "13055481435888338539", "semantic_fingerprint": "sha256:fde14c5802dac431cf74c34e65b2fc11cc63cce6a450645364ab7d2af0d0b66e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006266", "prompt": "Compute: 4273 * (92653 - 52786)", "solution_steps": ["Subtract: 92653 - 52786 = 39867", "Multiply: 4273 * 39867 = 170351691"], "final_answer": "170351691", "answer_type": "integer", "kind": "expression", "math_text": "4273 * (92653 - 52786)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4273, \"b\": 92653, \"c\": 52786}", "seed": "14598520079241840290", "semantic_fingerprint": "sha256:85672b7049c378a365a2d4fe5629dca9bb36e8506dd64b97aecc7e69ab0c8ea8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006267", "prompt": "Compute: (8986 + 2193) * (-9227)", "solution_steps": ["Add: 8986 + 2193 = 11179", "Multiply: 11179 * (-9227) = -103148633"], "final_answer": "-103148633", "answer_type": "integer", "kind": "expression", "math_text": "(8986 + 2193) * (-9227)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8986, \"b\": 2193, \"c\": -9227}", "seed": "457030102614356429", "semantic_fingerprint": "sha256:997125c7f56b160bfb831c9012c245b7eaf2d0c69a56e87ce7be5db10c295e3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006268", "prompt": "Evaluate: 87780 - (-7566 - 4925) + 69205", "solution_steps": ["Subtract: -7566 - 4925 = -12491", "Subtract: 87780 - (-12491) = 100271", "Add: 100271 + 69205 = 169476"], "final_answer": "169476", "answer_type": "integer", "kind": "expression", "math_text": "87780 - (-7566 - 4925) + 69205", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 87780, \"b\": -7566, \"c\": 4925, \"d\": 69205}", "seed": "4018617342754293772", "semantic_fingerprint": "sha256:a58ce1d0fb918ed265d39f437ce84de63c93b20e4949dec4dea88164b82b361a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006269", "prompt": "Compute: (-8458 - 59054) / 1650", "solution_steps": ["Subtract: -8458 - 59054 = -67512", "Divide: -67512 / 1650 = -11252/275"], "final_answer": "-11252/275", "answer_type": "rational", "kind": "expression", "math_text": "(-8458 - 59054) / 1650", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8458, \"b\": 59054, \"c\": 1650}", "seed": "9128740112685824811", "semantic_fingerprint": "sha256:2595a83edacb447ee64d0fed3073d9da33485cfd0d02b1e0ee36413032bbdb24", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006270", "prompt": "Evaluate: 4108 - 31562 / (-4988) + (-7307)", "solution_steps": ["Divide: 31562 / (-4988) = -367/58", "Subtract: 4108 - (-367/58) = 238631/58", "Add: 238631/58 + (-7307) = -185175/58"], "final_answer": "-185175/58", "answer_type": "rational", "kind": "expression", "math_text": "4108 - 31562 / (-4988) + (-7307)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4108, \"b\": 31562, \"c\": -4988, \"d\": -7307}", "seed": "2623318370826641440", "semantic_fingerprint": "sha256:8a74406a54798e3961a39d4c1ab76a63ee5491bc1b341db1e5e270fa59d4748e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006271", "prompt": "Evaluate: -2083 * 88113", "solution_steps": ["Multiply: -2083 * 88113 = -183539379"], "final_answer": "-183539379", "answer_type": "integer", "kind": "expression", "math_text": "-2083 * 88113", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2083, \"b\": 88113}", "seed": "1583018808618437077", "semantic_fingerprint": "sha256:17a9096eaa9827661f4e72acc4e498007a2c4c85eab7a2e9d79592d707051a85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006272", "prompt": "Evaluate: -43123 * 1723 / (-7551)", "solution_steps": ["Multiply: -43123 * 1723 = -74300929", "Divide: -74300929 / (-7551) = 74300929/7551"], "final_answer": "74300929/7551", "answer_type": "rational", "kind": "expression", "math_text": "-43123 * 1723 / (-7551)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -43123, \"b\": 1723, \"c\": -7551}", "seed": "10861730111940732402", "semantic_fingerprint": "sha256:692eec826348d7576d1f6c4802d7fb16b71f7764c38ed51f2ae3624313fd84ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006273", "prompt": "Find x: x = 15x + 2800", "solution_steps": ["Subtract 15x from both sides: -14x = 2800", "Divide both sides by -14: x = -200"], "final_answer": "-200", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 15x + 2800", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15, \"c\": 2800, \"x\": -200}", "seed": "843212338069220828", "semantic_fingerprint": "sha256:21c3755b6d07a9706381b6ec650c7ef5d9dafff4668928f1e853ef3912ce5f1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006274", "prompt": "Evaluate: -6222 + 4018", "solution_steps": ["Add: -6222 + 4018 = -2204"], "final_answer": "-2204", "answer_type": "integer", "kind": "expression", "math_text": "-6222 + 4018", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6222, \"b\": 4018}", "seed": "17663436779214298033", "semantic_fingerprint": "sha256:49b0ad7bbe20df2a0bd21fea2e28bd9208a5edc630ba0714b0f82896a1d7cf75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006275", "prompt": "Compute: (84880 - 70230) * (72474 - (6207 * (-6397) + (-7288)))", "solution_steps": ["Subtract: 84880 - 70230 = 14650", "Multiply: 6207 * (-6397) = -39706179", "Add: -39706179 + (-7288) = -39713467", "Subtract: 72474 - (-39713467) = 39785941", "Multiply: 14650 * 39785941 = 582864035650"], "final_answer": "582864035650", "answer_type": "integer", "kind": "expression", "math_text": "(84880 - 70230) * (72474 - (6207 * (-6397) + (-7288)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- n (+ (* n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 84880, \"b\": 70230, \"c\": 72474, \"d\": 6207, \"e\": -6397, \"f\": -7288}", "seed": "7616695144417360288", "semantic_fingerprint": "sha256:fac94832393f3e51b839c701cec66dd0d85a6597a7a9fa140f661d801231a8bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006276", "prompt": "Calculate: (8662 - (1233 - (-5530)) + (-72167)) / (8194 / 9261)", "solution_steps": ["Subtract: 1233 - (-5530) = 6763", "Subtract: 8662 - 6763 = 1899", "Add: 1899 + (-72167) = -70268", "Divide: 8194 / 9261 = 8194/9261", "Divide: -70268 / (8194/9261) = -325375974/4097"], "final_answer": "-325375974/4097", "answer_type": "rational", "kind": "expression", "math_text": "(8662 - (1233 - (-5530)) + (-72167)) / (8194 / 9261)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n (- n n)) n) (/ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8662, \"b\": 1233, \"c\": -5530, \"d\": -72167, \"e\": 8194, \"f\": 9261}", "seed": "13089204566449259078", "semantic_fingerprint": "sha256:858e8111d8e0df9882e1c8f1a674b009e45a8abc4014ed7635e7b8139175cfc9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006277", "prompt": "What is -8968 * (1731 + (-6686))?", "solution_steps": ["Add: 1731 + (-6686) = -4955", "Multiply: -8968 * (-4955) = 44436440"], "final_answer": "44436440", "answer_type": "integer", "kind": "expression", "math_text": "-8968 * (1731 + (-6686))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8968, \"b\": 1731, \"c\": -6686}", "seed": "8341685594688632680", "semantic_fingerprint": "sha256:c4bf6e4f83cd13dc98208a1a1181da4b8374f65dbdb7c13a691a80c6f8d02955", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006278", "prompt": "What is 95841 / (-7574) * 7797?", "solution_steps": ["Divide: 95841 / (-7574) = -95841/7574", "Multiply: (-95841/7574) * 7797 = -747272277/7574"], "final_answer": "-747272277/7574", "answer_type": "rational", "kind": "expression", "math_text": "95841 / (-7574) * 7797", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95841, \"b\": -7574, \"c\": 7797}", "seed": "12375787148025741959", "semantic_fingerprint": "sha256:ec3e8b2670edefb0798ebf53e00dc1d1631e8d41fea430028b79a46fe59871f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006279", "prompt": "Compute: 8411 - (-3292 + 8121)", "solution_steps": ["Add: -3292 + 8121 = 4829", "Subtract: 8411 - 4829 = 3582"], "final_answer": "3582", "answer_type": "integer", "kind": "expression", "math_text": "8411 - (-3292 + 8121)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8411, \"b\": -3292, \"c\": 8121}", "seed": "10913258227568964954", "semantic_fingerprint": "sha256:d79efeb6d7d7267e199861d228e9bb9ae51b5ce3989be3bfae74dcb7545ddb5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006280", "prompt": "Calculate: -29906 - 5738", "solution_steps": ["Subtract: -29906 - 5738 = -35644"], "final_answer": "-35644", "answer_type": "integer", "kind": "expression", "math_text": "-29906 - 5738", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -29906, \"b\": 5738}", "seed": "442506645070981448", "semantic_fingerprint": "sha256:450e5610d1f935d44c7fc64d13462eb5d0a37327cc9999b46f13090d646eef0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006281", "prompt": "What is 32455 - 7540 * (-4396)?", "solution_steps": ["Multiply: 7540 * (-4396) = -33145840", "Subtract: 32455 - (-33145840) = 33178295"], "final_answer": "33178295", "answer_type": "integer", "kind": "expression", "math_text": "32455 - 7540 * (-4396)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 32455, \"b\": 7540, \"c\": -4396}", "seed": "13249508831626083471", "semantic_fingerprint": "sha256:04139da1433af39d50132921055b5b60f8aaa5ae3796279800e9d5e7ae15b952", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006282", "prompt": "What is -35409 - 2450 * (-70905)?", "solution_steps": ["Multiply: 2450 * (-70905) = -173717250", "Subtract: -35409 - (-173717250) = 173681841"], "final_answer": "173681841", "answer_type": "integer", "kind": "expression", "math_text": "-35409 - 2450 * (-70905)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -35409, \"b\": 2450, \"c\": -70905}", "seed": "3511785211157884919", "semantic_fingerprint": "sha256:84baaf80c34cbebd4b8b8912103617191fc328fbd3448317bc7a536732fb52d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006283", "prompt": "What is -74949 + (-4158)?", "solution_steps": ["Add: -74949 + (-4158) = -79107"], "final_answer": "-79107", "answer_type": "integer", "kind": "expression", "math_text": "-74949 + (-4158)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -74949, \"b\": -4158}", "seed": "3773830431758579629", "semantic_fingerprint": "sha256:a8b0b0eb4fedc19161675b41ad036b00cf0bb56b16efb681c2c53fbc601c39a7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006284", "prompt": "Evaluate: 48304 + (-2211)", "solution_steps": ["Add: 48304 + (-2211) = 46093"], "final_answer": "46093", "answer_type": "integer", "kind": "expression", "math_text": "48304 + (-2211)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 48304, \"b\": -2211}", "seed": "10352271148667081144", "semantic_fingerprint": "sha256:44bb7c2c6acb13659c4ab67b74a7b6affb72bab8a7d321d60a0c6b225102400d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006285", "prompt": "Find x: x - 5390 = -17x - 8180", "solution_steps": ["Add 17x to both sides: 18x - 5390 = -8180", "Add 5390 to both sides: 18x = -2790", "Divide both sides by 18: x = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5390 = -17x - 8180", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5390, \"b\": -17, \"d\": -8180, \"x\": -155}", "seed": "10396939209538108946", "semantic_fingerprint": "sha256:5c557d875974e88b0f97e821d40c5ffcf385a13c4b28fc269d1a8eca9d2ffc2e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006286", "prompt": "Solve for x: 40(x + 8250) - 31829 = 57163", "solution_steps": ["Expand: 40x + 330000 - 31829 = 57163", "Combine constants: 40x + 298171 = 57163", "Subtract 298171 from both sides: 40x = -241008", "Divide both sides by 40: x = -30126/5"], "final_answer": "-30126/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x + 8250) - 31829 = 57163", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 8250, \"c\": 31829, \"d\": 57163}", "seed": "4885113194327311652", "semantic_fingerprint": "sha256:58445be73689df9be355b0d79a35fb71b087ee8350335321342c31fc479c34d9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006287", "prompt": "Solve for x: x + 1387 = 37(x - 1215) + 47422", "solution_steps": ["Expand: x + 1387 = 37x - 44955 + 47422", "Combine constants: x + 1387 = 37x + 2467", "Subtract 37x from both sides: -36x + 1387 = 2467", "Subtract 1387 from both sides: -36x = 1080", "Divide both sides by -36: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1387 = 37(x - 1215) + 47422", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1387, \"b\": 37, \"c\": 1215, \"e\": 47422, \"x\": -30}", "seed": "9354573119640815893", "semantic_fingerprint": "sha256:7ff7f80217fe8ce5e5369ae8def80aa180a53dfe1636b73e1a8610f7f7c284c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006288", "prompt": "Compute: 1519 - 7155", "solution_steps": ["Subtract: 1519 - 7155 = -5636"], "final_answer": "-5636", "answer_type": "integer", "kind": "expression", "math_text": "1519 - 7155", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 1519, \"b\": 7155}", "seed": "2124512783008674860", "semantic_fingerprint": "sha256:567da8f6e833c9e167769e896e0ada6ab1ae1be91879144304cc3e5924efb91b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006289", "prompt": "Solve for x: x - 61655 = -20x - 60668", "solution_steps": ["Add 20x to both sides: 21x - 61655 = -60668", "Add 61655 to both sides: 21x = 987", "Divide both sides by 21: x = 47"], "final_answer": "47", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 61655 = -20x - 60668", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 61655, \"b\": -20, \"d\": -60668, \"x\": 47}", "seed": "16973090274960680099", "semantic_fingerprint": "sha256:4ead1bb94ce57b690d41d0f87ebbbc8d2eb7481113360caa26915aa5809460a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006290", "prompt": "Evaluate: -7219 - ((70986 - 1984) * (-79861) + 17853 + (-1149))", "solution_steps": ["Subtract: 70986 - 1984 = 69002", "Multiply: 69002 * (-79861) = -5510568722", "Add: -5510568722 + 17853 = -5510550869", "Add: -5510550869 + (-1149) = -5510552018", "Subtract: -7219 - (-5510552018) = 5510544799"], "final_answer": "5510544799", "answer_type": "integer", "kind": "expression", "math_text": "-7219 - ((70986 - 1984) * (-79861) + 17853 + (-1149))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (* (- n n) n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7219, \"b\": 70986, \"c\": 1984, \"d\": -79861, \"e\": 17853, \"f\": -1149}", "seed": "4619305156451046485", "semantic_fingerprint": "sha256:37e609e9b74ae4d2ebb7d6c82d7013f596c32ba0685ff04acc0dcba1d38f1585", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006291", "prompt": "Calculate: -30001 / (-2450 - 1212)", "solution_steps": ["Subtract: -2450 - 1212 = -3662", "Divide: -30001 / (-3662) = 30001/3662"], "final_answer": "30001/3662", "answer_type": "rational", "kind": "expression", "math_text": "-30001 / (-2450 - 1212)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -30001, \"b\": -2450, \"c\": 1212}", "seed": "14713695505863634860", "semantic_fingerprint": "sha256:66e7ad7235a0aebc4597624a025dcbb8dc4d9e66cc40e1c869ea276016696bd9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006292", "prompt": "Calculate: (-7101 - 78986) * (-8531)", "solution_steps": ["Subtract: -7101 - 78986 = -86087", "Multiply: -86087 * (-8531) = 734408197"], "final_answer": "734408197", "answer_type": "integer", "kind": "expression", "math_text": "(-7101 - 78986) * (-8531)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7101, \"b\": 78986, \"c\": -8531}", "seed": "7332934596058750485", "semantic_fingerprint": "sha256:afaa7ebd351dbd575de84f9bea268720c7189f13dc1462f8655d6da68501624f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006293", "prompt": "What value of x satisfies -21(x - 3931) = x + 83915?", "solution_steps": ["Expand: -21x + 82551 = x + 83915", "Subtract x from both sides: -22x + 82551 = 83915", "Subtract 82551 from both sides: -22x = 1364", "Divide both sides by -22: x = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21(x - 3931) = x + 83915", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 3931, \"d\": 83915, \"x\": -62}", "seed": "13711939116015283459", "semantic_fingerprint": "sha256:108b10da0c03f98c6185a4cce5adee8a71f261c2396a7b05a4fa8bfc6f4dae8f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006294", "prompt": "What is 2964 - (-6239 - 6727) * (-6108)?", "solution_steps": ["Subtract: -6239 - 6727 = -12966", "Multiply: -12966 * (-6108) = 79196328", "Subtract: 2964 - 79196328 = -79193364"], "final_answer": "-79193364", "answer_type": "integer", "kind": "expression", "math_text": "2964 - (-6239 - 6727) * (-6108)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2964, \"b\": -6239, \"c\": 6727, \"d\": -6108}", "seed": "13195113501016802983", "semantic_fingerprint": "sha256:346324581aea7e43b3bf0d26fce6ad9d80d2d5fd5e108494b7d2f70183ebdc4b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006295", "prompt": "Solve for x: 30x - 8278 = x - 10946", "solution_steps": ["Subtract x from both sides: 29x - 8278 = -10946", "Add 8278 to both sides: 29x = -2668", "Divide both sides by 29: x = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x - 8278 = x - 10946", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 8278, \"d\": -10946, \"x\": -92}", "seed": "9820340631425278844", "semantic_fingerprint": "sha256:896169d216bed9a1918656480fdfda9e431c63205284a090b4202480ddc691ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006296", "prompt": "What value of x satisfies x = 14(x + 1951) + 1146?", "solution_steps": ["Expand: x = 14x + 27314 + 1146", "Combine constants: x = 14x + 28460", "Subtract 14x from both sides: -13x = 28460", "Divide both sides by -13: x = -28460/13"], "final_answer": "-28460/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 14(x + 1951) + 1146", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 1951, \"c\": 1146}", "seed": "11534353823966742810", "semantic_fingerprint": "sha256:114490a9ce03a83ae377a49ad98d21f113aab03c217d214c18fa3939987a60e1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006297", "prompt": "Evaluate: 9155 + (61215 - 1926)", "solution_steps": ["Subtract: 61215 - 1926 = 59289", "Add: 9155 + 59289 = 68444"], "final_answer": "68444", "answer_type": "integer", "kind": "expression", "math_text": "9155 + (61215 - 1926)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9155, \"b\": 61215, \"c\": 1926}", "seed": "823260273623725898", "semantic_fingerprint": "sha256:34f4b124b63c7c6977e87b4b89c552875fc34d21d837d3ee65c7794d0994b0d1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006298", "prompt": "Calculate: -91382 / 6039 + (-3040 + (-1423))", "solution_steps": ["Divide: -91382 / 6039 = -91382/6039", "Add: -3040 + (-1423) = -4463", "Add: -91382/6039 + (-4463) = -27043439/6039"], "final_answer": "-27043439/6039", "answer_type": "rational", "kind": "expression", "math_text": "-91382 / 6039 + (-3040 + (-1423))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -91382, \"b\": 6039, \"c\": -3040, \"d\": -1423}", "seed": "3282678625648258053", "semantic_fingerprint": "sha256:08962a7eccfffdcb789a1a7f77af706b97f981b7392922c28fac45a5eab7f492", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006299", "prompt": "What is -32846 * (9786 * 2885)?", "solution_steps": ["Multiply: 9786 * 2885 = 28232610", "Multiply: -32846 * 28232610 = -927328308060"], "final_answer": "-927328308060", "answer_type": "integer", "kind": "expression", "math_text": "-32846 * (9786 * 2885)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32846, \"b\": 9786, \"c\": 2885}", "seed": "3657701322036795460", "semantic_fingerprint": "sha256:04343cb869b65174c79958f14daba3df74d04040c303e20be0a540304f414f22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006300", "prompt": "Solve for x: 26x - 80561 = 35(x - 4084) + 63324", "solution_steps": ["Expand: 26x - 80561 = 35x - 142940 + 63324", "Combine constants: 26x - 80561 = 35x - 79616", "Subtract 35x from both sides: -9x - 80561 = -79616", "Add 80561 to both sides: -9x = 945", "Divide both sides by -9: x = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x - 80561 = 35(x - 4084) + 63324", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 80561, \"c\": 35, \"d\": 4084, \"f\": 63324, \"x\": -105}", "seed": "6709589147567767919", "semantic_fingerprint": "sha256:b72728e2245fdeca3ba31d96eb4847c9778d955acaefe0ef2eb81d948b3a515a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006301", "prompt": "Evaluate: 84854 - (-9789)", "solution_steps": ["Subtract: 84854 - (-9789) = 94643"], "final_answer": "94643", "answer_type": "integer", "kind": "expression", "math_text": "84854 - (-9789)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 84854, \"b\": -9789}", "seed": "1998944519119792757", "semantic_fingerprint": "sha256:ca8a38f3c3fbfe0a37e4724485af2593c6d01caab8b6ae748b5e33b19da02b8c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006302", "prompt": "What is -79723 - (-7199 - 1687) + 9180?", "solution_steps": ["Subtract: -7199 - 1687 = -8886", "Subtract: -79723 - (-8886) = -70837", "Add: -70837 + 9180 = -61657"], "final_answer": "-61657", "answer_type": "integer", "kind": "expression", "math_text": "-79723 - (-7199 - 1687) + 9180", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -79723, \"b\": -7199, \"c\": 1687, \"d\": 9180}", "seed": "5972741904562925158", "semantic_fingerprint": "sha256:d8e813373b18f90565abfe9cdf54fe3f5659a4f946e618be9866aedb4e1b5d1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006303", "prompt": "Calculate: (84082 - 40220) * (4307 + 3333)", "solution_steps": ["Subtract: 84082 - 40220 = 43862", "Add: 4307 + 3333 = 7640", "Multiply: 43862 * 7640 = 335105680"], "final_answer": "335105680", "answer_type": "integer", "kind": "expression", "math_text": "(84082 - 40220) * (4307 + 3333)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84082, \"b\": 40220, \"c\": 4307, \"d\": 3333}", "seed": "16058576857515728446", "semantic_fingerprint": "sha256:a0e736f6ce46fe8ae8f154110300621d78291dfb3aa4216b13883c7a248e18f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006304", "prompt": "Solve the equation 16(x + 4025) = 17(x + 12649) for x.", "solution_steps": ["Expand: 16x + 64400 = 17(x + 12649)", "Expand: 16x + 64400 = 17x + 215033", "Subtract 17x from both sides: -x + 64400 = 215033", "Subtract 64400 from both sides: -x = 150633", "Divide both sides by -1: x = -150633"], "final_answer": "-150633", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 4025) = 17(x + 12649)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 4025, \"c\": 17, \"d\": 12649}", "seed": "4364545720895948147", "semantic_fingerprint": "sha256:c0148472ce341d4b7f3e109be8c9bece679e0da8c2f52a3f876ffa3b9b16ec85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006305", "prompt": "What value of x satisfies 33(x - 6197) + 69649 = 32x?", "solution_steps": ["Expand: 33x - 204501 + 69649 = 32x", "Combine constants: 33x - 134852 = 32x", "Subtract 32x from both sides: x - 134852 = 0", "Add 134852 to both sides: x = 134852"], "final_answer": "134852", "answer_type": "integer", "kind": "linear_equation", "math_text": "33(x - 6197) + 69649 = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 6197, \"c\": 69649, \"d\": 32}", "seed": "3878877313198199865", "semantic_fingerprint": "sha256:380ff10dd1064a6d96e52d477fe303ce3aca78f04a5379383b91cc9f535a104f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006306", "prompt": "Compute: -28613 + (-3952) / (-6557)", "solution_steps": ["Divide: -3952 / (-6557) = 3952/6557", "Add: -28613 + 3952/6557 = -187611489/6557"], "final_answer": "-187611489/6557", "answer_type": "rational", "kind": "expression", "math_text": "-28613 + (-3952) / (-6557)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28613, \"b\": -3952, \"c\": -6557}", "seed": "7388851083081982134", "semantic_fingerprint": "sha256:b4cf15198ce8723a2eaf483e6ba3a8a2bde954b4f0ae876c040f2875321fb4b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006307", "prompt": "Evaluate: 81843 * 4112 - (-3139)", "solution_steps": ["Multiply: 81843 * 4112 = 336538416", "Subtract: 336538416 - (-3139) = 336541555"], "final_answer": "336541555", "answer_type": "integer", "kind": "expression", "math_text": "81843 * 4112 - (-3139)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 81843, \"b\": 4112, \"c\": -3139}", "seed": "11627175655842998576", "semantic_fingerprint": "sha256:071476436fd2c39bf159ca73def11afbfe406dd61b250720bf53b2a376c56464", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006308", "prompt": "What is 5530 / 5567 * 6145 - (8670 * (-1444) + 92045)?", "solution_steps": ["Divide: 5530 / 5567 = 5530/5567", "Multiply: (5530/5567) * 6145 = 33981850/5567", "Multiply: 8670 * (-1444) = -12519480", "Add: -12519480 + 92045 = -12427435", "Subtract: 33981850/5567 - (-12427435) = 69217512495/5567"], "final_answer": "69217512495/5567", "answer_type": "rational", "kind": "expression", "math_text": "5530 / 5567 * 6145 - (8670 * (-1444) + 92045)", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5530, \"b\": 5567, \"c\": 6145, \"d\": 8670, \"e\": -1444, \"f\": 92045}", "seed": "5300341657661466251", "semantic_fingerprint": "sha256:d6f00b4fa996997516e12375025bd23eae7a7c832af3430d81be92adf321b50e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006309", "prompt": "Compute: -33691 - (5451 + (-5839))", "solution_steps": ["Add: 5451 + (-5839) = -388", "Subtract: -33691 - (-388) = -33303"], "final_answer": "-33303", "answer_type": "integer", "kind": "expression", "math_text": "-33691 - (5451 + (-5839))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -33691, \"b\": 5451, \"c\": -5839}", "seed": "17803886851375499756", "semantic_fingerprint": "sha256:ce230d8e640b3552a0585ded3cd3ee89c53ace32eade217f6c1cf550a35be949", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006310", "prompt": "Calculate: -85676 / (-49893) * (-4254 + (-34466) - 26583)", "solution_steps": ["Divide: -85676 / (-49893) = 85676/49893", "Add: -4254 + (-34466) = -38720", "Subtract: -38720 - 26583 = -65303", "Multiply: (85676/49893) * (-65303) = -5594899828/49893"], "final_answer": "-5594899828/49893", "answer_type": "rational", "kind": "expression", "math_text": "-85676 / (-49893) * (-4254 + (-34466) - 26583)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85676, \"b\": -49893, \"c\": -4254, \"d\": -34466, \"e\": 26583}", "seed": "17808808171828683584", "semantic_fingerprint": "sha256:91a4b95a0c150fc91ef1f6b05cf1ced1c7299875139f94a560794bd92bfecf16", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006311", "prompt": "What is 3767 - (2946 + 9772)?", "solution_steps": ["Add: 2946 + 9772 = 12718", "Subtract: 3767 - 12718 = -8951"], "final_answer": "-8951", "answer_type": "integer", "kind": "expression", "math_text": "3767 - (2946 + 9772)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3767, \"b\": 2946, \"c\": 9772}", "seed": "1355845288996873485", "semantic_fingerprint": "sha256:5b4d384627503f3e9ce61c249bcfc8827b91149860d7a529a209607afb35cecd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006312", "prompt": "Compute: -8187 * (-9699) * (-3923)", "solution_steps": ["Multiply: -8187 * (-9699) = 79405713", "Multiply: 79405713 * (-3923) = -311508612099"], "final_answer": "-311508612099", "answer_type": "integer", "kind": "expression", "math_text": "-8187 * (-9699) * (-3923)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8187, \"b\": -9699, \"c\": -3923}", "seed": "16999828490706828617", "semantic_fingerprint": "sha256:b7c9a2e07f491c082b752ac52def029435ede58ccc2df2c016d1fa55bb97c602", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006313", "prompt": "Evaluate: 20304 / (-69371 - 9335)", "solution_steps": ["Subtract: -69371 - 9335 = -78706", "Divide: 20304 / (-78706) = -10152/39353"], "final_answer": "-10152/39353", "answer_type": "rational", "kind": "expression", "math_text": "20304 / (-69371 - 9335)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 20304, \"b\": -69371, \"c\": 9335}", "seed": "3300518150507982580", "semantic_fingerprint": "sha256:67fba698a87e64214f4af791853370d41cef65bcd460542dca979302c081ed95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006314", "prompt": "Calculate: (20975 - (-43577) + (1042 - (-1155))) / 3324 + 9359", "solution_steps": ["Subtract: 20975 - (-43577) = 64552", "Subtract: 1042 - (-1155) = 2197", "Add: 64552 + 2197 = 66749", "Divide: 66749 / 3324 = 66749/3324", "Add: 66749/3324 + 9359 = 31176065/3324"], "final_answer": "31176065/3324", "answer_type": "rational", "kind": "expression", "math_text": "(20975 - (-43577) + (1042 - (-1155))) / 3324 + 9359", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ (- n n) (- n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20975, \"b\": -43577, \"c\": 1042, \"d\": -1155, \"e\": 3324, \"f\": 9359}", "seed": "5384716095219957605", "semantic_fingerprint": "sha256:13eea453eb9b57849458a27928319f66e766f1029e02d1d464883decb3a54a33", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006315", "prompt": "What is 22659 - (9662 + 33981)?", "solution_steps": ["Add: 9662 + 33981 = 43643", "Subtract: 22659 - 43643 = -20984"], "final_answer": "-20984", "answer_type": "integer", "kind": "expression", "math_text": "22659 - (9662 + 33981)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22659, \"b\": 9662, \"c\": 33981}", "seed": "4869993838419997610", "semantic_fingerprint": "sha256:bd899a522837ecdd7a9e3b043370b1ebe83eae4d7fd65a3758858367af3ad8e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006316", "prompt": "Solve for x: -32x = x + 6138", "solution_steps": ["Subtract x from both sides: -33x = 6138", "Divide both sides by -33: x = -186"], "final_answer": "-186", "answer_type": "integer", "kind": "linear_equation", "math_text": "-32x = x + 6138", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"c\": 6138, \"x\": -186}", "seed": "10010550695155123346", "semantic_fingerprint": "sha256:b9bf6e329600354436c73f03041f0785ec9f97d0e2fe3e8bf90f01b9d5f056d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006317", "prompt": "Compute: 8459 + 6791", "solution_steps": ["Add: 8459 + 6791 = 15250"], "final_answer": "15250", "answer_type": "integer", "kind": "expression", "math_text": "8459 + 6791", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8459, \"b\": 6791}", "seed": "15994179488253303851", "semantic_fingerprint": "sha256:69c66926b1af6c52e1e6c9196fd5cecff47e3e713a37a10947ed7ab3516fa550", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006318", "prompt": "Solve the equation 36(x - 76859) + 4880 = 91563 for x.", "solution_steps": ["Expand: 36x - 2766924 + 4880 = 91563", "Combine constants: 36x - 2762044 = 91563", "Add 2762044 to both sides: 36x = 2853607", "Divide both sides by 36: x = 2853607/36"], "final_answer": "2853607/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "36(x - 76859) + 4880 = 91563", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 76859, \"c\": 4880, \"d\": 91563}", "seed": "2929427618560004543", "semantic_fingerprint": "sha256:63b7b712e1afe0ce60314dc4c28680c7b654a1a26e492384b4b3bb59381a1081", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006319", "prompt": "What is -1126 + 81673?", "solution_steps": ["Add: -1126 + 81673 = 80547"], "final_answer": "80547", "answer_type": "integer", "kind": "expression", "math_text": "-1126 + 81673", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1126, \"b\": 81673}", "seed": "16011634857007743826", "semantic_fingerprint": "sha256:0dad7492eed6a882311c0b600fe308549a58e1c48a1ebc80c438804bf1bc0792", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006320", "prompt": "Find x: 38x - 90483 = -35x + 6244", "solution_steps": ["Add 35x to both sides: 73x - 90483 = 6244", "Add 90483 to both sides: 73x = 96727", "Divide both sides by 73: x = 96727/73"], "final_answer": "96727/73", "answer_type": "rational", "kind": "linear_equation", "math_text": "38x - 90483 = -35x + 6244", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 90483, \"c\": -35, \"d\": 6244}", "seed": "1946459234228555745", "semantic_fingerprint": "sha256:7955acf1f1bbfa8bcddd7e0e40cb62fc130bb12ee8d5463b3caf81e00d963963", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006321", "prompt": "What is 47708 - (-6745 + 26420 * (-2078))?", "solution_steps": ["Multiply: 26420 * (-2078) = -54900760", "Add: -6745 + (-54900760) = -54907505", "Subtract: 47708 - (-54907505) = 54955213"], "final_answer": "54955213", "answer_type": "integer", "kind": "expression", "math_text": "47708 - (-6745 + 26420 * (-2078))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 47708, \"b\": -6745, \"c\": 26420, \"d\": -2078}", "seed": "1449945886448102102", "semantic_fingerprint": "sha256:b7b3d8eda4358b14a4244bebb95d24c12a792750912f0cbbd3f29e7d42850bc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006322", "prompt": "What value of x satisfies 13x + 13070 = x + 15350?", "solution_steps": ["Subtract x from both sides: 12x + 13070 = 15350", "Subtract 13070 from both sides: 12x = 2280", "Divide both sides by 12: x = 190"], "final_answer": "190", "answer_type": "integer", "kind": "linear_equation", "math_text": "13x + 13070 = x + 15350", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 13070, \"d\": 15350, \"x\": 190}", "seed": "12433997920097410053", "semantic_fingerprint": "sha256:1a55e0b9d6b2e8aeda1ad65189190cd8f4d03c8662841366b48b1140b434b229", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006323", "prompt": "Solve for x: -21(x - 4132) - 90363 = 36x", "solution_steps": ["Expand: -21x + 86772 - 90363 = 36x", "Combine constants: -21x - 3591 = 36x", "Subtract 36x from both sides: -57x - 3591 = 0", "Add 3591 to both sides: -57x = 3591", "Divide both sides by -57: x = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21(x - 4132) - 90363 = 36x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 4132, \"c\": 36, \"e\": -90363, \"x\": -63}", "seed": "1166299497415619451", "semantic_fingerprint": "sha256:b3e74342a8f393d3da87a63e6095ffa118a73e499a34ec9a2c3210e440159af5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006324", "prompt": "Compute: (-78010 - 2339) * (16016 + 8325)", "solution_steps": ["Subtract: -78010 - 2339 = -80349", "Add: 16016 + 8325 = 24341", "Multiply: -80349 * 24341 = -1955775009"], "final_answer": "-1955775009", "answer_type": "integer", "kind": "expression", "math_text": "(-78010 - 2339) * (16016 + 8325)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -78010, \"b\": 2339, \"c\": 16016, \"d\": 8325}", "seed": "16380510300403993330", "semantic_fingerprint": "sha256:d52cb978a11bb0e24fc709f4d9f95957c8877d7730de106ab7e391aa0c5f900f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006325", "prompt": "What is 1641 * 6004 + (64466 - 8081 + 2552 + 35914)?", "solution_steps": ["Multiply: 1641 * 6004 = 9852564", "Subtract: 64466 - 8081 = 56385", "Add: 56385 + 2552 = 58937", "Add: 58937 + 35914 = 94851", "Add: 9852564 + 94851 = 9947415"], "final_answer": "9947415", "answer_type": "integer", "kind": "expression", "math_text": "1641 * 6004 + (64466 - 8081 + 2552 + 35914)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (+ (- n n) n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1641, \"b\": 6004, \"c\": 64466, \"d\": 8081, \"e\": 2552, \"f\": 35914}", "seed": "2361524904160560488", "semantic_fingerprint": "sha256:38460ab4c74379b30b95e8f205f4952395f44d50c73913bfb96faee3cf696b71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006326", "prompt": "Compute: -7760 / 89956 + 54668", "solution_steps": ["Divide: -7760 / 89956 = -1940/22489", "Add: -1940/22489 + 54668 = 1229426712/22489"], "final_answer": "1229426712/22489", "answer_type": "rational", "kind": "expression", "math_text": "-7760 / 89956 + 54668", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7760, \"b\": 89956, \"c\": 54668}", "seed": "9510192858458629981", "semantic_fingerprint": "sha256:5630d4bdd6fa50bf39da181eecb9543e283b5ed2b384f26299fe9e12bf1d4af4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006327", "prompt": "Compute: 2777 + (-2787 - (-2820)) / (-31295)", "solution_steps": ["Subtract: -2787 - (-2820) = 33", "Divide: 33 / (-31295) = -3/2845", "Add: 2777 + (-3/2845) = 7900562/2845"], "final_answer": "7900562/2845", "answer_type": "rational", "kind": "expression", "math_text": "2777 + (-2787 - (-2820)) / (-31295)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2777, \"b\": -2787, \"c\": -2820, \"d\": -31295}", "seed": "11603496780637775064", "semantic_fingerprint": "sha256:f513f110f8f6fee5b89519de01e0d2b526af56cbbdc206187d173a0c2f77f349", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006328", "prompt": "Compute: -9857 * (-9298 - 8394)", "solution_steps": ["Subtract: -9298 - 8394 = -17692", "Multiply: -9857 * (-17692) = 174390044"], "final_answer": "174390044", "answer_type": "integer", "kind": "expression", "math_text": "-9857 * (-9298 - 8394)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9857, \"b\": -9298, \"c\": 8394}", "seed": "6293910493828210600", "semantic_fingerprint": "sha256:ff3598e0dc0b9620390f1f5740be033655d148c34e803ee64a73de72c67cd782", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006329", "prompt": "Calculate: (15883 - (-2138) * (-16413)) * 4787", "solution_steps": ["Multiply: -2138 * (-16413) = 35090994", "Subtract: 15883 - 35090994 = -35075111", "Multiply: -35075111 * 4787 = -167904556357"], "final_answer": "-167904556357", "answer_type": "integer", "kind": "expression", "math_text": "(15883 - (-2138) * (-16413)) * 4787", "variable": null, "family": "expression_3op", "shape": "(* (- n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15883, \"b\": -2138, \"c\": -16413, \"d\": 4787}", "seed": "7339354897198973167", "semantic_fingerprint": "sha256:e786b9de08b5cfb9b2ddd2954e81285a1df1a2826867642ad0505620da5c1fbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006330", "prompt": "Solve the equation -30(x - 21744) = 33(x + 4063) for x.", "solution_steps": ["Expand: -30x + 652320 = 33(x + 4063)", "Expand: -30x + 652320 = 33x + 134079", "Subtract 33x from both sides: -63x + 652320 = 134079", "Subtract 652320 from both sides: -63x = -518241", "Divide both sides by -63: x = 172747/21"], "final_answer": "172747/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-30(x - 21744) = 33(x + 4063)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 21744, \"c\": 33, \"d\": 4063}", "seed": "10288448099296310639", "semantic_fingerprint": "sha256:32d5c69c149f3c6fd10c8131ea6a639bfd1b59a1b738d60c687fad910ee53cf3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006331", "prompt": "Calculate: 67584 * 34850 + (-4342 - (9571 + 4280))", "solution_steps": ["Multiply: 67584 * 34850 = 2355302400", "Add: 9571 + 4280 = 13851", "Subtract: -4342 - 13851 = -18193", "Add: 2355302400 + (-18193) = 2355284207"], "final_answer": "2355284207", "answer_type": "integer", "kind": "expression", "math_text": "67584 * 34850 + (-4342 - (9571 + 4280))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 67584, \"b\": 34850, \"c\": -4342, \"d\": 9571, \"e\": 4280}", "seed": "15473034148130883888", "semantic_fingerprint": "sha256:9ad3488225a01bbc633f704b06dc782fbf664920cfe2b2f3f62e40ae8c4e5ceb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006332", "prompt": "What is -1162 + (-9464) * 2718?", "solution_steps": ["Multiply: -9464 * 2718 = -25723152", "Add: -1162 + (-25723152) = -25724314"], "final_answer": "-25724314", "answer_type": "integer", "kind": "expression", "math_text": "-1162 + (-9464) * 2718", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1162, \"b\": -9464, \"c\": 2718}", "seed": "5874475022411647341", "semantic_fingerprint": "sha256:c001f140bde56f43364b06e5b0448c2d14d0c9bf6851c00798ad07bc017d6fbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006333", "prompt": "Calculate: 49910 - (8159 * 7921 - (-48784 - (-3422)))", "solution_steps": ["Multiply: 8159 * 7921 = 64627439", "Subtract: -48784 - (-3422) = -45362", "Subtract: 64627439 - (-45362) = 64672801", "Subtract: 49910 - 64672801 = -64622891"], "final_answer": "-64622891", "answer_type": "integer", "kind": "expression", "math_text": "49910 - (8159 * 7921 - (-48784 - (-3422)))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 49910, \"b\": 8159, \"c\": 7921, \"d\": -48784, \"e\": -3422}", "seed": "170381897733434851", "semantic_fingerprint": "sha256:be7436f212563a97e873d214908661092cb7d239f23bf2c15aa51e9deb6d3cd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006334", "prompt": "What value of x satisfies 28(x + 3414) = -14(x + 8930)?", "solution_steps": ["Expand: 28x + 95592 = -14(x + 8930)", "Expand: 28x + 95592 = -14x - 125020", "Add 14x to both sides: 42x + 95592 = -125020", "Subtract 95592 from both sides: 42x = -220612", "Divide both sides by 42: x = -15758/3"], "final_answer": "-15758/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "28(x + 3414) = -14(x + 8930)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 3414, \"c\": -14, \"d\": 8930}", "seed": "14769206231188567852", "semantic_fingerprint": "sha256:a50bd5c7984f241591310ce64d5338eed368d79213692e7f7fedcffa0dde010e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006335", "prompt": "What is -8850 / (-1678 / 5000) - (-19403)?", "solution_steps": ["Divide: -1678 / 5000 = -839/2500", "Divide: -8850 / (-839/2500) = 22125000/839", "Subtract: 22125000/839 - (-19403) = 38404117/839"], "final_answer": "38404117/839", "answer_type": "rational", "kind": "expression", "math_text": "-8850 / (-1678 / 5000) - (-19403)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8850, \"b\": -1678, \"c\": 5000, \"d\": -19403}", "seed": "14625249609083835904", "semantic_fingerprint": "sha256:56383c31f09f73c4fbe4cc9ac2baa1a24fcd578e2e85b4ce38b807fb240076c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006336", "prompt": "Evaluate: 64987 / (-1370 - (-43437))", "solution_steps": ["Subtract: -1370 - (-43437) = 42067", "Divide: 64987 / 42067 = 64987/42067"], "final_answer": "64987/42067", "answer_type": "rational", "kind": "expression", "math_text": "64987 / (-1370 - (-43437))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64987, \"b\": -1370, \"c\": -43437}", "seed": "17555349206946353839", "semantic_fingerprint": "sha256:b2865958a41927af8f796a404d0a00441ffda657669b9f2e3bda3247136b52e4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006337", "prompt": "Evaluate: 8193 * (4200 / 2425) / 37374", "solution_steps": ["Divide: 4200 / 2425 = 168/97", "Multiply: 8193 * (168/97) = 1376424/97", "Divide: (1376424/97) / 37374 = 229404/604213"], "final_answer": "229404/604213", "answer_type": "rational", "kind": "expression", "math_text": "8193 * (4200 / 2425) / 37374", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8193, \"b\": 4200, \"c\": 2425, \"d\": 37374}", "seed": "7595581716612834322", "semantic_fingerprint": "sha256:549088420d180ed3c18a33e0cbd200b1c1c23df3df2c9a3ca7a7bd8ff154e26a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006338", "prompt": "Solve for x: 20x + 1672 = x", "solution_steps": ["Subtract x from both sides: 19x + 1672 = 0", "Subtract 1672 from both sides: 19x = -1672", "Divide both sides by 19: x = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 1672 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 1672, \"x\": -88}", "seed": "419742161237828095", "semantic_fingerprint": "sha256:6d3150aeb2373f12f321fb8a415cf682b3acfe61330affa02b2b2b7c3b3e92c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006339", "prompt": "What is -7818 * (-54450)?", "solution_steps": ["Multiply: -7818 * (-54450) = 425690100"], "final_answer": "425690100", "answer_type": "integer", "kind": "expression", "math_text": "-7818 * (-54450)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7818, \"b\": -54450}", "seed": "6787376491285458206", "semantic_fingerprint": "sha256:39d02c366930a535a59725405a5dd070008f3d16315ce308bb04c563353250ff", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006340", "prompt": "Evaluate: 92721 / 49130 - (61845 - (-4368))", "solution_steps": ["Divide: 92721 / 49130 = 92721/49130", "Subtract: 61845 - (-4368) = 66213", "Subtract: 92721/49130 - 66213 = -3252951969/49130"], "final_answer": "-3252951969/49130", "answer_type": "rational", "kind": "expression", "math_text": "92721 / 49130 - (61845 - (-4368))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 92721, \"b\": 49130, \"c\": 61845, \"d\": -4368}", "seed": "7571472053757897075", "semantic_fingerprint": "sha256:4222be1e140a561d33bedcd2cbdd3439eeb36876fe2be73a8f8ec2ccbc2884df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006341", "prompt": "Evaluate: (-2993 - (-15295)) * (18397 + (-91021))", "solution_steps": ["Subtract: -2993 - (-15295) = 12302", "Add: 18397 + (-91021) = -72624", "Multiply: 12302 * (-72624) = -893420448"], "final_answer": "-893420448", "answer_type": "integer", "kind": "expression", "math_text": "(-2993 - (-15295)) * (18397 + (-91021))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2993, \"b\": -15295, \"c\": 18397, \"d\": -91021}", "seed": "16256655551106239213", "semantic_fingerprint": "sha256:4202f0baf8f01eb7e816e2e2965ec57af977f5f64de67d46cb61d40840cfb49e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006342", "prompt": "Solve the equation 30x + 82546 = -23(x - 2584) + 17496 for x.", "solution_steps": ["Expand: 30x + 82546 = -23x + 59432 + 17496", "Combine constants: 30x + 82546 = -23x + 76928", "Add 23x to both sides: 53x + 82546 = 76928", "Subtract 82546 from both sides: 53x = -5618", "Divide both sides by 53: x = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 82546 = -23(x - 2584) + 17496", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 82546, \"c\": -23, \"d\": 2584, \"f\": 17496, \"x\": -106}", "seed": "5227089243217114977", "semantic_fingerprint": "sha256:2350f5921470a0171ccdc5146746b18d0c659260849fbfc92af8ca9f35c0b605", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006343", "prompt": "Evaluate: 4910 * (2093 * (-1318 / (-3667)))", "solution_steps": ["Divide: -1318 / (-3667) = 1318/3667", "Multiply: 2093 * (1318/3667) = 2758574/3667", "Multiply: 4910 * (2758574/3667) = 13544598340/3667"], "final_answer": "13544598340/3667", "answer_type": "rational", "kind": "expression", "math_text": "4910 * (2093 * (-1318 / (-3667)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4910, \"b\": 2093, \"c\": -1318, \"d\": -3667}", "seed": "17705822352843354981", "semantic_fingerprint": "sha256:59f13321bd84c93c71495d64c7d4e3840186687627dc25b85e2855955f3c72d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006344", "prompt": "Evaluate: -5129 / 1606", "solution_steps": ["Divide: -5129 / 1606 = -5129/1606"], "final_answer": "-5129/1606", "answer_type": "rational", "kind": "expression", "math_text": "-5129 / 1606", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5129, \"b\": 1606}", "seed": "4598667431399464934", "semantic_fingerprint": "sha256:be4c7fab177a0c1c689fcb83fc9ce12ce45bef517e250e6f04d297a8ca2ccb6a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006345", "prompt": "What is 65848 * (7520 - (-84976))?", "solution_steps": ["Subtract: 7520 - (-84976) = 92496", "Multiply: 65848 * 92496 = 6090676608"], "final_answer": "6090676608", "answer_type": "integer", "kind": "expression", "math_text": "65848 * (7520 - (-84976))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 65848, \"b\": 7520, \"c\": -84976}", "seed": "2843709548576816577", "semantic_fingerprint": "sha256:725391f9c017dee4fb44146b5858241921d612ddcadcbe59c4c755246b97d022", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006346", "prompt": "Evaluate: 26188 + (-7283)", "solution_steps": ["Add: 26188 + (-7283) = 18905"], "final_answer": "18905", "answer_type": "integer", "kind": "expression", "math_text": "26188 + (-7283)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 26188, \"b\": -7283}", "seed": "12284389897067209633", "semantic_fingerprint": "sha256:46fd476430ea7c9a8b50509a16feeab8b0c9ae4a0cae9428d5cb6b944130caeb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006347", "prompt": "What value of x satisfies -29x + 36580 = x?", "solution_steps": ["Subtract x from both sides: -30x + 36580 = 0", "Subtract 36580 from both sides: -30x = -36580", "Divide both sides by -30: x = 3658/3"], "final_answer": "3658/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29x + 36580 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 36580}", "seed": "17023972930246503916", "semantic_fingerprint": "sha256:91f3a3e85d7f9a93acf6193814c43dcbcd13e7f9902f4f83ae3ed61d89453483", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006348", "prompt": "Compute: -7005 + (-4772) + 59838", "solution_steps": ["Add: -7005 + (-4772) = -11777", "Add: -11777 + 59838 = 48061"], "final_answer": "48061", "answer_type": "integer", "kind": "expression", "math_text": "-7005 + (-4772) + 59838", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7005, \"b\": -4772, \"c\": 59838}", "seed": "9557752298695544286", "semantic_fingerprint": "sha256:7ef5454c8a3694006c824119013f94d94a82b39861c8b100175938611c6bdaf2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006349", "prompt": "Compute: (-8380 + (-1667 - 14102)) / (-2668 / (-3989))", "solution_steps": ["Subtract: -1667 - 14102 = -15769", "Add: -8380 + (-15769) = -24149", "Divide: -2668 / (-3989) = 2668/3989", "Divide: -24149 / (2668/3989) = -96330361/2668"], "final_answer": "-96330361/2668", "answer_type": "rational", "kind": "expression", "math_text": "(-8380 + (-1667 - 14102)) / (-2668 / (-3989))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -8380, \"b\": -1667, \"c\": 14102, \"d\": -2668, \"e\": -3989}", "seed": "11498116298422000127", "semantic_fingerprint": "sha256:6db55cd11ca74f82fb4ff1a6a767d6ba1f1fc55da7212a850a1b3422891e25ec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006350", "prompt": "Solve the equation 24x - 5535 = x - 9123 for x.", "solution_steps": ["Subtract x from both sides: 23x - 5535 = -9123", "Add 5535 to both sides: 23x = -3588", "Divide both sides by 23: x = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 5535 = x - 9123", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 5535, \"d\": -9123, \"x\": -156}", "seed": "13414136091754404017", "semantic_fingerprint": "sha256:7f6d9f15eec2d98f86f05a814440846d84703851236c47359e389b5a17d7b981", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006351", "prompt": "Compute: (4626 - 5739) * (84132 - 9022 / 69053)", "solution_steps": ["Subtract: 4626 - 5739 = -1113", "Divide: 9022 / 69053 = 26/199", "Subtract: 84132 - 26/199 = 16742242/199", "Multiply: -1113 * (16742242/199) = -18634115346/199"], "final_answer": "-18634115346/199", "answer_type": "rational", "kind": "expression", "math_text": "(4626 - 5739) * (84132 - 9022 / 69053)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4626, \"b\": 5739, \"c\": 84132, \"d\": 9022, \"e\": 69053}", "seed": "564736682146220492", "semantic_fingerprint": "sha256:9597066393691a04f17a0c27419c7923ff1b60c792bc8c379c76173e5647816c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006352", "prompt": "What value of x satisfies 19(x + 98817) = -33(x + 8782)?", "solution_steps": ["Expand: 19x + 1877523 = -33(x + 8782)", "Expand: 19x + 1877523 = -33x - 289806", "Add 33x to both sides: 52x + 1877523 = -289806", "Subtract 1877523 from both sides: 52x = -2167329", "Divide both sides by 52: x = -2167329/52"], "final_answer": "-2167329/52", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 98817) = -33(x + 8782)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 98817, \"c\": -33, \"d\": 8782}", "seed": "8628204781457705175", "semantic_fingerprint": "sha256:0911a0b53cee79e0a04de12def374febcc66ef4a8ae1f7887c47f921e889022b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006353", "prompt": "Calculate: 6006 / (-4508) * (-5063)", "solution_steps": ["Divide: 6006 / (-4508) = -429/322", "Multiply: (-429/322) * (-5063) = 2172027/322"], "final_answer": "2172027/322", "answer_type": "rational", "kind": "expression", "math_text": "6006 / (-4508) * (-5063)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6006, \"b\": -4508, \"c\": -5063}", "seed": "17749707905021178797", "semantic_fingerprint": "sha256:da5f72d45554f09deef819a42fb47c815fa81395240d6d42a6bfc4133f7c21f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006354", "prompt": "Evaluate: -5797 - (-53771)", "solution_steps": ["Subtract: -5797 - (-53771) = 47974"], "final_answer": "47974", "answer_type": "integer", "kind": "expression", "math_text": "-5797 - (-53771)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5797, \"b\": -53771}", "seed": "6065105523085652060", "semantic_fingerprint": "sha256:08ca5ad3219b20cf947f332c06e75a57df13709fe984a1a9628630e30301b804", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006355", "prompt": "Solve the equation 25(x - 3411) = -30(x - 7008) for x.", "solution_steps": ["Expand: 25x - 85275 = -30(x - 7008)", "Expand: 25x - 85275 = -30x + 210240", "Add 30x to both sides: 55x - 85275 = 210240", "Add 85275 to both sides: 55x = 295515", "Divide both sides by 55: x = 5373"], "final_answer": "5373", "answer_type": "integer", "kind": "linear_equation", "math_text": "25(x - 3411) = -30(x - 7008)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 3411, \"c\": -30, \"d\": 7008}", "seed": "16261677733836819323", "semantic_fingerprint": "sha256:ff459e5eec11cd80645df671aa0578c5282fa11d62e17ad9a041ecbc4d11d65a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006356", "prompt": "What value of x satisfies x - 58807 = -58844?", "solution_steps": ["Add 58807 to both sides: x = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 58807 = -58844", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 58807, \"c\": -58844, \"x\": -37}", "seed": "13848706846373251626", "semantic_fingerprint": "sha256:49cf4fa3557f0b6fec38de94f0e8c4a1098660b67e3857f3142be7f20c2be017", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006357", "prompt": "Find x: x = -28x", "solution_steps": ["Add 28x to both sides: 29x = 0", "Divide both sides by 29: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -28x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28}", "seed": "437938170816372437", "semantic_fingerprint": "sha256:5a4e128577ecb452704c849c363764542cab02859dd86b961222c3a211299949", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006358", "prompt": "Calculate: 4521 + 1442 * 9326 - (-1049)", "solution_steps": ["Multiply: 1442 * 9326 = 13448092", "Add: 4521 + 13448092 = 13452613", "Subtract: 13452613 - (-1049) = 13453662"], "final_answer": "13453662", "answer_type": "integer", "kind": "expression", "math_text": "4521 + 1442 * 9326 - (-1049)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4521, \"b\": 1442, \"c\": 9326, \"d\": -1049}", "seed": "10337374058393786646", "semantic_fingerprint": "sha256:53678d4f01af245fa4e8f689c8205dbc69cfaa4e6d177462fab83049a5c96fcf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006359", "prompt": "Solve for x: x = -38(x - 7923) + 42152", "solution_steps": ["Expand: x = -38x + 301074 + 42152", "Combine constants: x = -38x + 343226", "Add 38x to both sides: 39x = 343226", "Divide both sides by 39: x = 26402/3"], "final_answer": "26402/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -38(x - 7923) + 42152", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 7923, \"c\": 42152}", "seed": "10714839488091400632", "semantic_fingerprint": "sha256:0771824313a99c3781c0dc30dcd176be2d10d7d0eb12e1caddc9dd46faa83b81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006360", "prompt": "Solve for x: 32(x - 6731) - 2459 = 36(x + 25973) + 21354", "solution_steps": ["Expand: 32x - 215392 - 2459 = 36(x + 25973) + 21354", "Expand: 32x - 215392 - 2459 = 36x + 935028 + 21354", "Combine constants: 32x - 217851 = 36x + 935028 + 21354", "Combine constants: 32x - 217851 = 36x + 956382", "Subtract 36x from both sides: -4x - 217851 = 956382", "Add 217851 to both sides: -4x = 1174233", "Divide both sides by -4: x = -1174233/4"], "final_answer": "-1174233/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 6731) - 2459 = 36(x + 25973) + 21354", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 6731, \"c\": 2459, \"d\": 36, \"e\": 25973, \"f\": 21354}", "seed": "5804400641808811324", "semantic_fingerprint": "sha256:782605432cf38257ea0553e1fb159a0746c9c5386f2ac2bc95354e1cda394817", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006361", "prompt": "Calculate: -7419 + 87546 - (-54066) * (-95186)", "solution_steps": ["Add: -7419 + 87546 = 80127", "Multiply: -54066 * (-95186) = 5146326276", "Subtract: 80127 - 5146326276 = -5146246149"], "final_answer": "-5146246149", "answer_type": "integer", "kind": "expression", "math_text": "-7419 + 87546 - (-54066) * (-95186)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7419, \"b\": 87546, \"c\": -54066, \"d\": -95186}", "seed": "10629032670099375311", "semantic_fingerprint": "sha256:14bf1710d87dc85885ffb4d45efb289f4a15002668ba110b12f6df642e38f02a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006362", "prompt": "What is (-43075 - (8670 + 6516 + 2921)) * (-2284) * (-1768)?", "solution_steps": ["Add: 8670 + 6516 = 15186", "Add: 15186 + 2921 = 18107", "Subtract: -43075 - 18107 = -61182", "Multiply: -61182 * (-2284) = 139739688", "Multiply: 139739688 * (-1768) = -247059768384"], "final_answer": "-247059768384", "answer_type": "integer", "kind": "expression", "math_text": "(-43075 - (8670 + 6516 + 2921)) * (-2284) * (-1768)", "variable": null, "family": "expression_5op", "shape": "(* (* (- n (+ (+ n n) n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -43075, \"b\": 8670, \"c\": 6516, \"d\": 2921, \"e\": -2284, \"f\": -1768}", "seed": "11189611594423475820", "semantic_fingerprint": "sha256:7538cdf7df138d6e11652bcb3d73aded026a39ff9b7a9640b2e54fcb60fbee93", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006363", "prompt": "Solve for x: 19x + 2271 = -14(x + 6482) + 97573", "solution_steps": ["Expand: 19x + 2271 = -14x - 90748 + 97573", "Combine constants: 19x + 2271 = -14x + 6825", "Add 14x to both sides: 33x + 2271 = 6825", "Subtract 2271 from both sides: 33x = 4554", "Divide both sides by 33: x = 138"], "final_answer": "138", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 2271 = -14(x + 6482) + 97573", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 2271, \"c\": -14, \"d\": 6482, \"f\": 97573, \"x\": 138}", "seed": "16074653153496210746", "semantic_fingerprint": "sha256:8550d0fbf08434290365bae1d2ed1e51c65aecccb921c4d39baba8e7817a9dad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006364", "prompt": "Compute: -40361 + (-4876) * (-45489) * 4496", "solution_steps": ["Multiply: -4876 * (-45489) = 221804364", "Multiply: 221804364 * 4496 = 997232420544", "Add: -40361 + 997232420544 = 997232380183"], "final_answer": "997232380183", "answer_type": "integer", "kind": "expression", "math_text": "-40361 + (-4876) * (-45489) * 4496", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40361, \"b\": -4876, \"c\": -45489, \"d\": 4496}", "seed": "8493304361858837", "semantic_fingerprint": "sha256:4efb364ea95d9fdb6a8cd7bc164aaa874adc8023300e6b361252ffb0bc0ae5b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006365", "prompt": "Solve for x: 25(x + 3692) = -13x", "solution_steps": ["Expand: 25x + 92300 = -13x", "Add 13x to both sides: 38x + 92300 = 0", "Subtract 92300 from both sides: 38x = -92300", "Divide both sides by 38: x = -46150/19"], "final_answer": "-46150/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "25(x + 3692) = -13x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 3692, \"c\": -13}", "seed": "4460784447871755761", "semantic_fingerprint": "sha256:6ca227e58013830979fbb082a1e3442f5449ba3e936e095e20e09fbc011dd55e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006366", "prompt": "Calculate: -78943 + (-1973 - 7307)", "solution_steps": ["Subtract: -1973 - 7307 = -9280", "Add: -78943 + (-9280) = -88223"], "final_answer": "-88223", "answer_type": "integer", "kind": "expression", "math_text": "-78943 + (-1973 - 7307)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -78943, \"b\": -1973, \"c\": 7307}", "seed": "7004490314953072733", "semantic_fingerprint": "sha256:d1c14872093f85b90297517433f2ad74cf2f5e3fe3212bc8311cc467ca1e899b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006367", "prompt": "Solve the equation -19(x + 8591) + 81222 = x - 78087 for x.", "solution_steps": ["Expand: -19x - 163229 + 81222 = x - 78087", "Combine constants: -19x - 82007 = x - 78087", "Subtract x from both sides: -20x - 82007 = -78087", "Add 82007 to both sides: -20x = 3920", "Divide both sides by -20: x = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x + 8591) + 81222 = x - 78087", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 8591, \"c\": 81222, \"e\": -78087, \"x\": -196}", "seed": "12644240111572641709", "semantic_fingerprint": "sha256:5c2fa79c5518bab930326092247df7d924e8b6e2643b16efc7aff6c8c8ee47f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006368", "prompt": "What is 6388 * 9698?", "solution_steps": ["Multiply: 6388 * 9698 = 61950824"], "final_answer": "61950824", "answer_type": "integer", "kind": "expression", "math_text": "6388 * 9698", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6388, \"b\": 9698}", "seed": "2419039337201220536", "semantic_fingerprint": "sha256:09ea6439caf74949f6c0302467443e9c57bad9c2899750ed6132cea406da894e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006369", "prompt": "What is 93157 * (-7263)?", "solution_steps": ["Multiply: 93157 * (-7263) = -676599291"], "final_answer": "-676599291", "answer_type": "integer", "kind": "expression", "math_text": "93157 * (-7263)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 93157, \"b\": -7263}", "seed": "15359254823870075863", "semantic_fingerprint": "sha256:28eb4d7434d0e8ddccfa171fdf14d1a521fad7be288c60afda6978d27abd9b60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006370", "prompt": "Solve for x: x = 13(x + 74243)", "solution_steps": ["Expand: x = 13x + 965159", "Subtract 13x from both sides: -12x = 965159", "Divide both sides by -12: x = -965159/12"], "final_answer": "-965159/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 13(x + 74243)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 74243}", "seed": "8790057412287370994", "semantic_fingerprint": "sha256:40eda059bc862ed0107fedc8f25892e89878b7c929b819a3984fb48e0716df2d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006371", "prompt": "Calculate: -2642 - (-96877) / (-2435)", "solution_steps": ["Divide: -96877 / (-2435) = 96877/2435", "Subtract: -2642 - 96877/2435 = -6530147/2435"], "final_answer": "-6530147/2435", "answer_type": "rational", "kind": "expression", "math_text": "-2642 - (-96877) / (-2435)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2642, \"b\": -96877, \"c\": -2435}", "seed": "1118085632782810599", "semantic_fingerprint": "sha256:2c0bd47108b0f3c0d0d62638d73f465d2c8233daee46604e38587a5ff29c3419", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006372", "prompt": "Compute: -5469 - (1513 - (-5006)) + (-5937) / (-1008)", "solution_steps": ["Subtract: 1513 - (-5006) = 6519", "Subtract: -5469 - 6519 = -11988", "Divide: -5937 / (-1008) = 1979/336", "Add: -11988 + 1979/336 = -4025989/336"], "final_answer": "-4025989/336", "answer_type": "rational", "kind": "expression", "math_text": "-5469 - (1513 - (-5006)) + (-5937) / (-1008)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5469, \"b\": 1513, \"c\": -5006, \"d\": -5937, \"e\": -1008}", "seed": "14693060028347144755", "semantic_fingerprint": "sha256:e1dd416c73c563906b3051c08b1ab33eb36a737898b6a23006289c222ba062bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006373", "prompt": "What value of x satisfies 35x = x + 6320?", "solution_steps": ["Subtract x from both sides: 34x = 6320", "Divide both sides by 34: x = 3160/17"], "final_answer": "3160/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "35x = x + 6320", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 6320}", "seed": "1554246052024721539", "semantic_fingerprint": "sha256:4a03af01d1440cb1db944d8d238db061a1bfe65a734dea136558c3b7b27cb8de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006374", "prompt": "Find x: 32x = x + 3523", "solution_steps": ["Subtract x from both sides: 31x = 3523", "Divide both sides by 31: x = 3523/31"], "final_answer": "3523/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x = x + 3523", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 3523}", "seed": "11801907136973437859", "semantic_fingerprint": "sha256:9cf3f277ad432a82779e5f31cf29e6e841e21d9ac7ad84e22310a3458bd9a6ea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006375", "prompt": "Evaluate: 91082 - (-7748) / 1128 / (-2404) - 13271", "solution_steps": ["Divide: -7748 / 1128 = -1937/282", "Divide: (-1937/282) / (-2404) = 1937/677928", "Subtract: 91082 - 1937/677928 = 61747036159/677928", "Subtract: 61747036159/677928 - 13271 = 52750253671/677928"], "final_answer": "52750253671/677928", "answer_type": "rational", "kind": "expression", "math_text": "91082 - (-7748) / 1128 / (-2404) - 13271", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ (/ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 91082, \"b\": -7748, \"c\": 1128, \"d\": -2404, \"e\": 13271}", "seed": "6106207828082714934", "semantic_fingerprint": "sha256:b782e3a71e567dd210ddc1b31907508af0b25a317783f4f5ee751bedadecfeab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006376", "prompt": "Solve for x: 24(x - 9493) = x", "solution_steps": ["Expand: 24x - 227832 = x", "Subtract x from both sides: 23x - 227832 = 0", "Add 227832 to both sides: 23x = 227832", "Divide both sides by 23: x = 227832/23"], "final_answer": "227832/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x - 9493) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 9493}", "seed": "17821622164267816807", "semantic_fingerprint": "sha256:b90c7e382c1109008dd0e61137a7dd785da6d37ad6999cb583dd2fab36c2a1a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006377", "prompt": "Calculate: (71477 - (-2479)) / 92778", "solution_steps": ["Subtract: 71477 - (-2479) = 73956", "Divide: 73956 / 92778 = 12326/15463"], "final_answer": "12326/15463", "answer_type": "rational", "kind": "expression", "math_text": "(71477 - (-2479)) / 92778", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 71477, \"b\": -2479, \"c\": 92778}", "seed": "3787254275293830509", "semantic_fingerprint": "sha256:408135fac6d2a0b887daac975fcc6a872d2835bd5a815729242d14d0f9bf496a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006378", "prompt": "Solve for x: 38x = -24x - 5332", "solution_steps": ["Add 24x to both sides: 62x = -5332", "Divide both sides by 62: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = -24x - 5332", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": -24, \"d\": -5332, \"x\": -86}", "seed": "12916347298480687211", "semantic_fingerprint": "sha256:b7921237e93a892532c9733e71d039cb75e4e2e472dcf95ac9320a6fa9e12afe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006379", "prompt": "Evaluate: 3579 - (-8634 + 56825) - 7347", "solution_steps": ["Add: -8634 + 56825 = 48191", "Subtract: 3579 - 48191 = -44612", "Subtract: -44612 - 7347 = -51959"], "final_answer": "-51959", "answer_type": "integer", "kind": "expression", "math_text": "3579 - (-8634 + 56825) - 7347", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3579, \"b\": -8634, \"c\": 56825, \"d\": 7347}", "seed": "17689094744239695865", "semantic_fingerprint": "sha256:fa64964714ed776ee76f217a12c8d42c5427f2dcafd0680813dd938d35a37b78", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006380", "prompt": "Compute: -1287 * (5228 - (62774 - 6732))", "solution_steps": ["Subtract: 62774 - 6732 = 56042", "Subtract: 5228 - 56042 = -50814", "Multiply: -1287 * (-50814) = 65397618"], "final_answer": "65397618", "answer_type": "integer", "kind": "expression", "math_text": "-1287 * (5228 - (62774 - 6732))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1287, \"b\": 5228, \"c\": 62774, \"d\": 6732}", "seed": "6296093974926554422", "semantic_fingerprint": "sha256:badaa02570be052b810f83b22c3c69e810ed5ee4a57871b428081e8f0170fb2a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006381", "prompt": "Compute: 1925 / 7313 - (-5572)", "solution_steps": ["Divide: 1925 / 7313 = 1925/7313", "Subtract: 1925/7313 - (-5572) = 40749961/7313"], "final_answer": "40749961/7313", "answer_type": "rational", "kind": "expression", "math_text": "1925 / 7313 - (-5572)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1925, \"b\": 7313, \"c\": -5572}", "seed": "4069279187274160156", "semantic_fingerprint": "sha256:cefab8fb66e5ccb4a62540c4e204d65f05206ddc3ca246800823832a822ffe0f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006382", "prompt": "Solve for x: 28x + 3594 = 16(x - 1957) + 35818", "solution_steps": ["Expand: 28x + 3594 = 16x - 31312 + 35818", "Combine constants: 28x + 3594 = 16x + 4506", "Subtract 16x from both sides: 12x + 3594 = 4506", "Subtract 3594 from both sides: 12x = 912", "Divide both sides by 12: x = 76"], "final_answer": "76", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 3594 = 16(x - 1957) + 35818", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 3594, \"c\": 16, \"d\": 1957, \"f\": 35818, \"x\": 76}", "seed": "3359708207192391657", "semantic_fingerprint": "sha256:0ac05373e4e9ff0fe8e40834a32894853cfd9f893a58cf1de5029e91b6b3a5c6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006383", "prompt": "Compute: 9122 + 8838", "solution_steps": ["Add: 9122 + 8838 = 17960"], "final_answer": "17960", "answer_type": "integer", "kind": "expression", "math_text": "9122 + 8838", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9122, \"b\": 8838}", "seed": "5284270003508356745", "semantic_fingerprint": "sha256:8255cea5085eb77dc3c32f0e4a2812d7464d7120f60a0eccb2e86ec25c89af45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006384", "prompt": "Compute: -45050 - (-6763 + 4394)", "solution_steps": ["Add: -6763 + 4394 = -2369", "Subtract: -45050 - (-2369) = -42681"], "final_answer": "-42681", "answer_type": "integer", "kind": "expression", "math_text": "-45050 - (-6763 + 4394)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45050, \"b\": -6763, \"c\": 4394}", "seed": "13276077606609818073", "semantic_fingerprint": "sha256:66c0dfdea165f1a8b868cad7c1198ca4a9e67c013d6b6900e6e139b8f8ea4738", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006385", "prompt": "Solve for x: 33x + 72257 = 54074", "solution_steps": ["Subtract 72257 from both sides: 33x = -18183", "Divide both sides by 33: x = -551"], "final_answer": "-551", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x + 72257 = 54074", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 72257, \"c\": 54074}", "seed": "784548984629543365", "semantic_fingerprint": "sha256:955c705fa5b88d016574a0bda939b1bb4c7e7d69f20b8994eaf6952c893a706b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006386", "prompt": "Calculate: -9698 * (-7372 + (-7037))", "solution_steps": ["Add: -7372 + (-7037) = -14409", "Multiply: -9698 * (-14409) = 139738482"], "final_answer": "139738482", "answer_type": "integer", "kind": "expression", "math_text": "-9698 * (-7372 + (-7037))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9698, \"b\": -7372, \"c\": -7037}", "seed": "11810274655874875284", "semantic_fingerprint": "sha256:108f453eedba01eb620f72156e34a44901e6b127e8e27b44ae8f25bc78f09da9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006387", "prompt": "Solve the equation x + 2631 = 14(x + 1845) - 22146 for x.", "solution_steps": ["Expand: x + 2631 = 14x + 25830 - 22146", "Combine constants: x + 2631 = 14x + 3684", "Subtract 14x from both sides: -13x + 2631 = 3684", "Subtract 2631 from both sides: -13x = 1053", "Divide both sides by -13: x = -81"], "final_answer": "-81", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2631 = 14(x + 1845) - 22146", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2631, \"b\": 14, \"c\": 1845, \"e\": -22146, \"x\": -81}", "seed": "6951353243814384020", "semantic_fingerprint": "sha256:03728fbc3b1128d200150ea20c074e0fdb8d3cd89a016fc512a255970c1677f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006388", "prompt": "Solve the equation x + 82774 = 13(x - 51132) + 2786 for x.", "solution_steps": ["Expand: x + 82774 = 13x - 664716 + 2786", "Combine constants: x + 82774 = 13x - 661930", "Subtract 13x from both sides: -12x + 82774 = -661930", "Subtract 82774 from both sides: -12x = -744704", "Divide both sides by -12: x = 186176/3"], "final_answer": "186176/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 82774 = 13(x - 51132) + 2786", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 82774, \"b\": 13, \"c\": 51132, \"d\": 2786}", "seed": "6210998164904039998", "semantic_fingerprint": "sha256:2205b0c8a94fa520e9f5a6ca015d63d66be7e6d31afab498811bc8ee0ca36b94", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006389", "prompt": "Compute: -90677 / 4196", "solution_steps": ["Divide: -90677 / 4196 = -90677/4196"], "final_answer": "-90677/4196", "answer_type": "rational", "kind": "expression", "math_text": "-90677 / 4196", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -90677, \"b\": 4196}", "seed": "11589479553864550382", "semantic_fingerprint": "sha256:c376175b8020633da6dbe54cc8c5311ae43d33171039c58efb672cb51b490412", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006390", "prompt": "Calculate: 4853 * 5795 - (-90176 - 7438)", "solution_steps": ["Multiply: 4853 * 5795 = 28123135", "Subtract: -90176 - 7438 = -97614", "Subtract: 28123135 - (-97614) = 28220749"], "final_answer": "28220749", "answer_type": "integer", "kind": "expression", "math_text": "4853 * 5795 - (-90176 - 7438)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4853, \"b\": 5795, \"c\": -90176, \"d\": 7438}", "seed": "8039502755564505146", "semantic_fingerprint": "sha256:404c361edca3ae6e8cb50e1d0a9d54d764d1207df9c154aa0165075c4b2af173", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006391", "prompt": "Solve the equation -30x + 92862 = -23x + 93436 for x.", "solution_steps": ["Add 23x to both sides: -7x + 92862 = 93436", "Subtract 92862 from both sides: -7x = 574", "Divide both sides by -7: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x + 92862 = -23x + 93436", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": 92862, \"c\": -23, \"e\": 93436, \"x\": -82}", "seed": "12776216744889386420", "semantic_fingerprint": "sha256:f29421278c432a28677b19e097d5e1fcbc2fec9974a711aa2debbd48763d24e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006392", "prompt": "Solve for x: 17x - 6228 = -3270", "solution_steps": ["Add 6228 to both sides: 17x = 2958", "Divide both sides by 17: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "17x - 6228 = -3270", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 17, \"b\": 6228, \"d\": -3270, \"x\": 174}", "seed": "3635968365254728964", "semantic_fingerprint": "sha256:5dfb0f1899d6f49a72a0f8a0ea1c99afaa9639a717e77ee8f29be2fb95b6b096", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006393", "prompt": "Compute: -77712 + 6024 / (-5485)", "solution_steps": ["Divide: 6024 / (-5485) = -6024/5485", "Add: -77712 + (-6024/5485) = -426256344/5485"], "final_answer": "-426256344/5485", "answer_type": "rational", "kind": "expression", "math_text": "-77712 + 6024 / (-5485)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -77712, \"b\": 6024, \"c\": -5485}", "seed": "3644219933884047405", "semantic_fingerprint": "sha256:45029779c67a674784769d464066325394a7bf07e9b95fec14d34613c01042e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006394", "prompt": "Evaluate: -5727 + ((-8641 - (-2594)) / 2415 - 9240) + 4599", "solution_steps": ["Subtract: -8641 - (-2594) = -6047", "Divide: -6047 / 2415 = -6047/2415", "Subtract: -6047/2415 - 9240 = -22320647/2415", "Add: -5727 + (-22320647/2415) = -36151352/2415", "Add: -36151352/2415 + 4599 = -25044767/2415"], "final_answer": "-25044767/2415", "answer_type": "rational", "kind": "expression", "math_text": "-5727 + ((-8641 - (-2594)) / 2415 - 9240) + 4599", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- (/ (- n n) n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5727, \"b\": -8641, \"c\": -2594, \"d\": 2415, \"e\": 9240, \"f\": 4599}", "seed": "1596170871181594779", "semantic_fingerprint": "sha256:e4c74233b60bf2dda9b5bc697aa7be1a2e6b8d722700c31df5caf8c7e1269b5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006395", "prompt": "Calculate: (41877 + 4362) * (2461 - (1523 + 2609))", "solution_steps": ["Add: 41877 + 4362 = 46239", "Add: 1523 + 2609 = 4132", "Subtract: 2461 - 4132 = -1671", "Multiply: 46239 * (-1671) = -77265369"], "final_answer": "-77265369", "answer_type": "integer", "kind": "expression", "math_text": "(41877 + 4362) * (2461 - (1523 + 2609))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 41877, \"b\": 4362, \"c\": 2461, \"d\": 1523, \"e\": 2609}", "seed": "3197401376900475447", "semantic_fingerprint": "sha256:fdbad2ec6139ae317d0b213b65d3f99d3a81d4e82bfb8366aa507260ca840fe2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006396", "prompt": "Compute: -2154 + 4211 - (-38897)", "solution_steps": ["Add: -2154 + 4211 = 2057", "Subtract: 2057 - (-38897) = 40954"], "final_answer": "40954", "answer_type": "integer", "kind": "expression", "math_text": "-2154 + 4211 - (-38897)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2154, \"b\": 4211, \"c\": -38897}", "seed": "2878392805950185050", "semantic_fingerprint": "sha256:4ada71db101d953e4652238d4545fc42efdcb2abe7fc1db376f9eb8fb61067b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006397", "prompt": "Find x: -26(x - 53099) = 28(x + 6152) + 84348", "solution_steps": ["Expand: -26x + 1380574 = 28(x + 6152) + 84348", "Expand: -26x + 1380574 = 28x + 172256 + 84348", "Combine constants: -26x + 1380574 = 28x + 256604", "Subtract 28x from both sides: -54x + 1380574 = 256604", "Subtract 1380574 from both sides: -54x = -1123970", "Divide both sides by -54: x = 561985/27"], "final_answer": "561985/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26(x - 53099) = 28(x + 6152) + 84348", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 53099, \"c\": 28, \"d\": 6152, \"e\": 84348}", "seed": "17403826345220980102", "semantic_fingerprint": "sha256:d4163ab88ac7d49b3c076982c3d358cf13e5bcd751722a31568d7d2f391de405", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006398", "prompt": "Find x: 24x - 90255 = x - 88415", "solution_steps": ["Subtract x from both sides: 23x - 90255 = -88415", "Add 90255 to both sides: 23x = 1840", "Divide both sides by 23: x = 80"], "final_answer": "80", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 90255 = x - 88415", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 90255, \"d\": -88415, \"x\": 80}", "seed": "14812695956730882979", "semantic_fingerprint": "sha256:94fbcf8c48f2e5a426c34c90b8c2d77c56e1985d74397b007cb2d08eeae890f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006399", "prompt": "Find x: -22(x + 8207) - 95844 = 37(x - 9082) + 51553", "solution_steps": ["Expand: -22x - 180554 - 95844 = 37(x - 9082) + 51553", "Expand: -22x - 180554 - 95844 = 37x - 336034 + 51553", "Combine constants: -22x - 276398 = 37x - 336034 + 51553", "Combine constants: -22x - 276398 = 37x - 284481", "Subtract 37x from both sides: -59x - 276398 = -284481", "Add 276398 to both sides: -59x = -8083", "Divide both sides by -59: x = 137"], "final_answer": "137", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22(x + 8207) - 95844 = 37(x - 9082) + 51553", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 8207, \"c\": 95844, \"d\": 37, \"e\": 9082, \"g\": 51553, \"x\": 137}", "seed": "6037692142002362380", "semantic_fingerprint": "sha256:994dc6f78984601c527d645cc5e5ade30f2a2cd7f1357dbcdfc75e31e9046571", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006400", "prompt": "Evaluate: -15951 + (25656 - (-6419) / 2354) + (-7673)", "solution_steps": ["Divide: -6419 / 2354 = -6419/2354", "Subtract: 25656 - (-6419/2354) = 60400643/2354", "Add: -15951 + 60400643/2354 = 22851989/2354", "Add: 22851989/2354 + (-7673) = 4789747/2354"], "final_answer": "4789747/2354", "answer_type": "rational", "kind": "expression", "math_text": "-15951 + (25656 - (-6419) / 2354) + (-7673)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (/ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -15951, \"b\": 25656, \"c\": -6419, \"d\": 2354, \"e\": -7673}", "seed": "2355754188740631177", "semantic_fingerprint": "sha256:84ca81e86f01f730965775213c3a154ff2d984bf16cc9823611057820123b706", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006401", "prompt": "What is (-88767 - (-64939)) * (-6580)?", "solution_steps": ["Subtract: -88767 - (-64939) = -23828", "Multiply: -23828 * (-6580) = 156788240"], "final_answer": "156788240", "answer_type": "integer", "kind": "expression", "math_text": "(-88767 - (-64939)) * (-6580)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88767, \"b\": -64939, \"c\": -6580}", "seed": "4455913263585755121", "semantic_fingerprint": "sha256:c7d91cd0a8ec9283fb43b4a5dd66f18aa3f37cb3eaea7950e491299f16c47c72", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006402", "prompt": "What value of x satisfies -14(x - 3452) - 7364 = 17x?", "solution_steps": ["Expand: -14x + 48328 - 7364 = 17x", "Combine constants: -14x + 40964 = 17x", "Subtract 17x from both sides: -31x + 40964 = 0", "Subtract 40964 from both sides: -31x = -40964", "Divide both sides by -31: x = 40964/31"], "final_answer": "40964/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x - 3452) - 7364 = 17x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 3452, \"c\": 7364, \"d\": 17}", "seed": "15977786337904588329", "semantic_fingerprint": "sha256:05186bfcc949379880378edddac42582b970df33d42547649def1574f3d21dec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006403", "prompt": "Find x: 20(x - 5389) + 6694 = 26(x - 7657) + 96886", "solution_steps": ["Expand: 20x - 107780 + 6694 = 26(x - 7657) + 96886", "Expand: 20x - 107780 + 6694 = 26x - 199082 + 96886", "Combine constants: 20x - 101086 = 26x - 199082 + 96886", "Combine constants: 20x - 101086 = 26x - 102196", "Subtract 26x from both sides: -6x - 101086 = -102196", "Add 101086 to both sides: -6x = -1110", "Divide both sides by -6: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "20(x - 5389) + 6694 = 26(x - 7657) + 96886", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 5389, \"c\": 6694, \"d\": 26, \"e\": 7657, \"g\": 96886, \"x\": 185}", "seed": "11242571189245230676", "semantic_fingerprint": "sha256:700d8a562b11c6f6f34b769f1a1b2c88889308d45b3ad9174cbdef86c9fc810c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006404", "prompt": "Evaluate: 2686 * 5581", "solution_steps": ["Multiply: 2686 * 5581 = 14990566"], "final_answer": "14990566", "answer_type": "integer", "kind": "expression", "math_text": "2686 * 5581", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2686, \"b\": 5581}", "seed": "13650208049827385968", "semantic_fingerprint": "sha256:1d0bc5a86ed7881679f745f198881bd1e86b85eeb5dc10385eb4e2fbf9d74d45", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006405", "prompt": "Compute: 5158 * 6845 / 3373", "solution_steps": ["Multiply: 5158 * 6845 = 35306510", "Divide: 35306510 / 3373 = 35306510/3373"], "final_answer": "35306510/3373", "answer_type": "rational", "kind": "expression", "math_text": "5158 * 6845 / 3373", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5158, \"b\": 6845, \"c\": 3373}", "seed": "80779470493710954", "semantic_fingerprint": "sha256:74e4bd9572ff44599d79dd30f13e1e828a514f1ebda19a1cf4d1256d5278e11c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006406", "prompt": "Evaluate: -8926 * 9353 + 3393", "solution_steps": ["Multiply: -8926 * 9353 = -83484878", "Add: -83484878 + 3393 = -83481485"], "final_answer": "-83481485", "answer_type": "integer", "kind": "expression", "math_text": "-8926 * 9353 + 3393", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8926, \"b\": 9353, \"c\": 3393}", "seed": "3160736162997442408", "semantic_fingerprint": "sha256:1072d25a5f78032339d224be1439ef175a99167f6a604d2cae988564412ef9b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006407", "prompt": "Compute: -3190 - 12788 + (-64381)", "solution_steps": ["Subtract: -3190 - 12788 = -15978", "Add: -15978 + (-64381) = -80359"], "final_answer": "-80359", "answer_type": "integer", "kind": "expression", "math_text": "-3190 - 12788 + (-64381)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3190, \"b\": 12788, \"c\": -64381}", "seed": "9718267884855863140", "semantic_fingerprint": "sha256:c8e7d58d98b735174d6da8dfe6cb0e75b6fe1fe5893e44382273ad9637d8c45e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006408", "prompt": "Solve the equation x - 74948 = -30(x - 79137) for x.", "solution_steps": ["Expand: x - 74948 = -30x + 2374110", "Add 30x to both sides: 31x - 74948 = 2374110", "Add 74948 to both sides: 31x = 2449058", "Divide both sides by 31: x = 2449058/31"], "final_answer": "2449058/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 74948 = -30(x - 79137)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 74948, \"b\": -30, \"c\": 79137}", "seed": "322402504394853083", "semantic_fingerprint": "sha256:a891910a01bbb85e3e100835621a1332bb6ebb6f857f53e1bc734965f166b4be", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006409", "prompt": "Evaluate: -1600 + (-70143) - (-3983 + 1303) + 5142", "solution_steps": ["Add: -1600 + (-70143) = -71743", "Add: -3983 + 1303 = -2680", "Subtract: -71743 - (-2680) = -69063", "Add: -69063 + 5142 = -63921"], "final_answer": "-63921", "answer_type": "integer", "kind": "expression", "math_text": "-1600 + (-70143) - (-3983 + 1303) + 5142", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1600, \"b\": -70143, \"c\": -3983, \"d\": 1303, \"e\": 5142}", "seed": "10759688517998274711", "semantic_fingerprint": "sha256:2ed7234e39b325d3f77c47254ecef96fae9c6d1f3088b352c9613376d513b0b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006410", "prompt": "Compute: 42935 + 94717 + (-35402) + (-51680)", "solution_steps": ["Add: 42935 + 94717 = 137652", "Add: 137652 + (-35402) = 102250", "Add: 102250 + (-51680) = 50570"], "final_answer": "50570", "answer_type": "integer", "kind": "expression", "math_text": "42935 + 94717 + (-35402) + (-51680)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 42935, \"b\": 94717, \"c\": -35402, \"d\": -51680}", "seed": "5205474014124282622", "semantic_fingerprint": "sha256:31bdd4870ec51e9c775e9fe64971618fcb6e3c5d10979b1fbe7afb0e2dea51ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006411", "prompt": "Evaluate: -1670 + (-28943) - 2056 + 66833 * (-8524)", "solution_steps": ["Add: -1670 + (-28943) = -30613", "Subtract: -30613 - 2056 = -32669", "Multiply: 66833 * (-8524) = -569684492", "Add: -32669 + (-569684492) = -569717161"], "final_answer": "-569717161", "answer_type": "integer", "kind": "expression", "math_text": "-1670 + (-28943) - 2056 + 66833 * (-8524)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -1670, \"b\": -28943, \"c\": 2056, \"d\": 66833, \"e\": -8524}", "seed": "1881948157284612129", "semantic_fingerprint": "sha256:c7537b514e433f2e822ebc6b1454c950bbea819fde9f5e35d40f7bfabb8d080d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006412", "prompt": "Compute: (-3963 + 2778 * 10818) * (-5202)", "solution_steps": ["Multiply: 2778 * 10818 = 30052404", "Add: -3963 + 30052404 = 30048441", "Multiply: 30048441 * (-5202) = -156311990082"], "final_answer": "-156311990082", "answer_type": "integer", "kind": "expression", "math_text": "(-3963 + 2778 * 10818) * (-5202)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3963, \"b\": 2778, \"c\": 10818, \"d\": -5202}", "seed": "6315580493231623120", "semantic_fingerprint": "sha256:5465e3e2afc4232c2bfee45d3aa7cab8f2c0c885e76ba29039a1c9f9dd4e7492", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006413", "prompt": "Find x: 15x + 6019 = 10748", "solution_steps": ["Subtract 6019 from both sides: 15x = 4729", "Divide both sides by 15: x = 4729/15"], "final_answer": "4729/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x + 6019 = 10748", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 6019, \"c\": 10748}", "seed": "17903840160212080250", "semantic_fingerprint": "sha256:d7f4e746fe1bdc6fe17f5aadb07eb31d630649c2fe7a49b48c812cc4ec1851ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006414", "prompt": "Solve the equation -35(x + 21788) = -24(x - 2291) for x.", "solution_steps": ["Expand: -35x - 762580 = -24(x - 2291)", "Expand: -35x - 762580 = -24x + 54984", "Add 24x to both sides: -11x - 762580 = 54984", "Add 762580 to both sides: -11x = 817564", "Divide both sides by -11: x = -74324"], "final_answer": "-74324", "answer_type": "integer", "kind": "linear_equation", "math_text": "-35(x + 21788) = -24(x - 2291)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -35, \"b\": 21788, \"c\": -24, \"d\": 2291}", "seed": "2116172859267169461", "semantic_fingerprint": "sha256:431881e8afc96ece4d11108ab43b0fb338aa23c8793a778d10e6648123cd0efe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006415", "prompt": "What value of x satisfies 38(x + 1614) = -30x + 51744?", "solution_steps": ["Expand: 38x + 61332 = -30x + 51744", "Add 30x to both sides: 68x + 61332 = 51744", "Subtract 61332 from both sides: 68x = -9588", "Divide both sides by 68: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "38(x + 1614) = -30x + 51744", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 1614, \"c\": -30, \"e\": 51744, \"x\": -141}", "seed": "14515338880091421065", "semantic_fingerprint": "sha256:76e3e36f96a41dbad6409a74c6e86a6613f0a94ea6f5c6acaf2b4e309aaee03f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006416", "prompt": "Solve the equation -19(x - 1595) - 54275 = -25015 for x.", "solution_steps": ["Expand: -19x + 30305 - 54275 = -25015", "Combine constants: -19x - 23970 = -25015", "Add 23970 to both sides: -19x = -1045", "Divide both sides by -19: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "-19(x - 1595) - 54275 = -25015", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 1595, \"c\": 54275, \"e\": -25015, \"x\": 55}", "seed": "18132934921617290006", "semantic_fingerprint": "sha256:658795d250c57b442d57ac9f5c389922a1097e1dfb017161f31c83a61e4a0fc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006417", "prompt": "What value of x satisfies -30x = -24(x - 90875)?", "solution_steps": ["Expand: -30x = -24x + 2181000", "Add 24x to both sides: -6x = 2181000", "Divide both sides by -6: x = -363500"], "final_answer": "-363500", "answer_type": "integer", "kind": "linear_equation", "math_text": "-30x = -24(x - 90875)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30, \"b\": -24, \"c\": 90875}", "seed": "4595004150193401902", "semantic_fingerprint": "sha256:a4c1dbed9be698a98a0dc997fd045b4721c869ad3839cb2f8f347c614610a5b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006418", "prompt": "Evaluate: 98083 / (-3222)", "solution_steps": ["Divide: 98083 / (-3222) = -98083/3222"], "final_answer": "-98083/3222", "answer_type": "rational", "kind": "expression", "math_text": "98083 / (-3222)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 98083, \"b\": -3222}", "seed": "9036583182017411960", "semantic_fingerprint": "sha256:f27cb57b7032b9ef5e271953210f30a7550555a606e734eed1571d9c0b70aab9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006419", "prompt": "What is 3221 - (-44235)?", "solution_steps": ["Subtract: 3221 - (-44235) = 47456"], "final_answer": "47456", "answer_type": "integer", "kind": "expression", "math_text": "3221 - (-44235)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3221, \"b\": -44235}", "seed": "4282117179500254913", "semantic_fingerprint": "sha256:23b9c6d211df4fe656e0b4045216ffd0cac0667701df2fa698f6e5b9ee3761d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006420", "prompt": "Compute: 9658 * (-7901)", "solution_steps": ["Multiply: 9658 * (-7901) = -76307858"], "final_answer": "-76307858", "answer_type": "integer", "kind": "expression", "math_text": "9658 * (-7901)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9658, \"b\": -7901}", "seed": "15211165451924593442", "semantic_fingerprint": "sha256:651d95daaefd6dbf7b3edc3817fe9a6c224a3ef04e18d5ae76aee19986c80f84", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006421", "prompt": "Find x: 37(x + 3937) = 38(x + 6497) + 69348", "solution_steps": ["Expand: 37x + 145669 = 38(x + 6497) + 69348", "Expand: 37x + 145669 = 38x + 246886 + 69348", "Combine constants: 37x + 145669 = 38x + 316234", "Subtract 38x from both sides: -x + 145669 = 316234", "Subtract 145669 from both sides: -x = 170565", "Divide both sides by -1: x = -170565"], "final_answer": "-170565", "answer_type": "integer", "kind": "linear_equation", "math_text": "37(x + 3937) = 38(x + 6497) + 69348", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 3937, \"c\": 38, \"d\": 6497, \"e\": 69348}", "seed": "10310230985776877147", "semantic_fingerprint": "sha256:de7761bf2a5bc0654308aa0f3351496ea3a8365cc527337627557b1eb7c71ead", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006422", "prompt": "Solve the equation 15x = -27(x - 7814) - 9976 for x.", "solution_steps": ["Expand: 15x = -27x + 210978 - 9976", "Combine constants: 15x = -27x + 201002", "Add 27x to both sides: 42x = 201002", "Divide both sides by 42: x = 100501/21"], "final_answer": "100501/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = -27(x - 7814) - 9976", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": -27, \"c\": 7814, \"d\": 9976}", "seed": "5958990336526542391", "semantic_fingerprint": "sha256:3e0e714dabe2fd7e240d1d3eb4991bf900f5158b98db441fc031ea74955e6122", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006423", "prompt": "Find x: 39(x + 19005) + 18160 = x - 1630", "solution_steps": ["Expand: 39x + 741195 + 18160 = x - 1630", "Combine constants: 39x + 759355 = x - 1630", "Subtract x from both sides: 38x + 759355 = -1630", "Subtract 759355 from both sides: 38x = -760985", "Divide both sides by 38: x = -760985/38"], "final_answer": "-760985/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 19005) + 18160 = x - 1630", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 19005, \"c\": 18160, \"d\": 1630}", "seed": "8018026920185544551", "semantic_fingerprint": "sha256:46a3c9a35458f67940dce2c043bab44a042a5ad8c87beb57180b77feafbd053d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006424", "prompt": "What is -47324 - 45310 / 96641 * 83372?", "solution_steps": ["Divide: 45310 / 96641 = 45310/96641", "Multiply: (45310/96641) * 83372 = 3777585320/96641", "Subtract: -47324 - 3777585320/96641 = -8351024004/96641"], "final_answer": "-8351024004/96641", "answer_type": "rational", "kind": "expression", "math_text": "-47324 - 45310 / 96641 * 83372", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -47324, \"b\": 45310, \"c\": 96641, \"d\": 83372}", "seed": "13771278674660042990", "semantic_fingerprint": "sha256:2ee346e8475fd5e597d4db6fbb4f9c4c34abee282ea9f03f0333ca99cf14cbac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006425", "prompt": "What is -9943 + (-45311 - 49115 - (-3606))?", "solution_steps": ["Subtract: -45311 - 49115 = -94426", "Subtract: -94426 - (-3606) = -90820", "Add: -9943 + (-90820) = -100763"], "final_answer": "-100763", "answer_type": "integer", "kind": "expression", "math_text": "-9943 + (-45311 - 49115 - (-3606))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -9943, \"b\": -45311, \"c\": 49115, \"d\": -3606}", "seed": "9984707170902814491", "semantic_fingerprint": "sha256:ec5e6a1d107d0ed1dd0fd4d3d43cdf570dda7c3944f4905503a6f70fc20020cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006426", "prompt": "Solve the equation -26x - 4638 = x for x.", "solution_steps": ["Subtract x from both sides: -27x - 4638 = 0", "Add 4638 to both sides: -27x = 4638", "Divide both sides by -27: x = -1546/9"], "final_answer": "-1546/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26x - 4638 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 4638}", "seed": "6155882337527096151", "semantic_fingerprint": "sha256:d7be73e1075af756077c435a48b272157cd5da2a7026251107e639783a4c811c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006427", "prompt": "Evaluate: -80411 + 88087 * (-80404)", "solution_steps": ["Multiply: 88087 * (-80404) = -7082547148", "Add: -80411 + (-7082547148) = -7082627559"], "final_answer": "-7082627559", "answer_type": "integer", "kind": "expression", "math_text": "-80411 + 88087 * (-80404)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -80411, \"b\": 88087, \"c\": -80404}", "seed": "13355228687316960673", "semantic_fingerprint": "sha256:10aa01126e62f13fd775d2f74695eba7c2f8b5a61e2569e1ce466624d596f413", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006428", "prompt": "Calculate: 6163 / (-33701)", "solution_steps": ["Divide: 6163 / (-33701) = -6163/33701"], "final_answer": "-6163/33701", "answer_type": "rational", "kind": "expression", "math_text": "6163 / (-33701)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6163, \"b\": -33701}", "seed": "17930330472670603098", "semantic_fingerprint": "sha256:e16037071714c9082e3d02ba52d5ac597013f826b96fceb7b0b1e5658c03d7bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006429", "prompt": "What is (8272 + (-64984)) / (-6896 - (-2298))?", "solution_steps": ["Add: 8272 + (-64984) = -56712", "Subtract: -6896 - (-2298) = -4598", "Divide: -56712 / (-4598) = 28356/2299"], "final_answer": "28356/2299", "answer_type": "rational", "kind": "expression", "math_text": "(8272 + (-64984)) / (-6896 - (-2298))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8272, \"b\": -64984, \"c\": -6896, \"d\": -2298}", "seed": "15726368288489500673", "semantic_fingerprint": "sha256:0ede5d605f88fa0f440e7684d440284f46510ce93de5e814b938ccad78827a00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006430", "prompt": "Find x: -24(x - 1041) - 8451 = 20x - 4525", "solution_steps": ["Expand: -24x + 24984 - 8451 = 20x - 4525", "Combine constants: -24x + 16533 = 20x - 4525", "Subtract 20x from both sides: -44x + 16533 = -4525", "Subtract 16533 from both sides: -44x = -21058", "Divide both sides by -44: x = 10529/22"], "final_answer": "10529/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x - 1041) - 8451 = 20x - 4525", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 1041, \"c\": 8451, \"d\": 20, \"e\": 4525}", "seed": "1315052875375635406", "semantic_fingerprint": "sha256:6fff69220b7ddd3768c2847a7ee006a9ccf7734adcc16fa417016f93614408bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006431", "prompt": "What is 8752 - (6990 + (-47924) + (-80841))?", "solution_steps": ["Add: 6990 + (-47924) = -40934", "Add: -40934 + (-80841) = -121775", "Subtract: 8752 - (-121775) = 130527"], "final_answer": "130527", "answer_type": "integer", "kind": "expression", "math_text": "8752 - (6990 + (-47924) + (-80841))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8752, \"b\": 6990, \"c\": -47924, \"d\": -80841}", "seed": "17383623660953447735", "semantic_fingerprint": "sha256:75c1131da052ed9377ee5ef2a0d30a2cbb25b77a3431299a812c655497e935f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006432", "prompt": "Compute: -6066 + (1513 + 2039)", "solution_steps": ["Add: 1513 + 2039 = 3552", "Add: -6066 + 3552 = -2514"], "final_answer": "-2514", "answer_type": "integer", "kind": "expression", "math_text": "-6066 + (1513 + 2039)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6066, \"b\": 1513, \"c\": 2039}", "seed": "11176774277424009459", "semantic_fingerprint": "sha256:e9f5265cff6bdd6ca9a7fc342a51294d8b68fcfb5724a2957cc0c511950814d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006433", "prompt": "What is 62074 + (-6768 + (-8225 - (-70653)))?", "solution_steps": ["Subtract: -8225 - (-70653) = 62428", "Add: -6768 + 62428 = 55660", "Add: 62074 + 55660 = 117734"], "final_answer": "117734", "answer_type": "integer", "kind": "expression", "math_text": "62074 + (-6768 + (-8225 - (-70653)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 62074, \"b\": -6768, \"c\": -8225, \"d\": -70653}", "seed": "1097265310002411319", "semantic_fingerprint": "sha256:edb20e196eba8aecb08af5076f6b24508b915b9b7eb3f135c16492bb89112a6d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006434", "prompt": "Solve the equation x + 1629 = 18(x - 98084) + 3826 for x.", "solution_steps": ["Expand: x + 1629 = 18x - 1765512 + 3826", "Combine constants: x + 1629 = 18x - 1761686", "Subtract 18x from both sides: -17x + 1629 = -1761686", "Subtract 1629 from both sides: -17x = -1763315", "Divide both sides by -17: x = 1763315/17"], "final_answer": "1763315/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1629 = 18(x - 98084) + 3826", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1629, \"b\": 18, \"c\": 98084, \"d\": 3826}", "seed": "11988515706561263253", "semantic_fingerprint": "sha256:a5ed3028da5b8e0332344c1de529a2ab225023cb82c3dfab422133a2b9f563b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006435", "prompt": "Compute: 2146 * (-27145)", "solution_steps": ["Multiply: 2146 * (-27145) = -58253170"], "final_answer": "-58253170", "answer_type": "integer", "kind": "expression", "math_text": "2146 * (-27145)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2146, \"b\": -27145}", "seed": "2014005610589595915", "semantic_fingerprint": "sha256:133c46b42f5cc015de8ef5f27085fafe68da1fd0a5b991cb0a374f9f9e323ed1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006436", "prompt": "What is 54629 - (-4738 + 5708)?", "solution_steps": ["Add: -4738 + 5708 = 970", "Subtract: 54629 - 970 = 53659"], "final_answer": "53659", "answer_type": "integer", "kind": "expression", "math_text": "54629 - (-4738 + 5708)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 54629, \"b\": -4738, \"c\": 5708}", "seed": "12953951024750931872", "semantic_fingerprint": "sha256:381c4c76f2bf2b689371514b7d20da55b515de150344111bd638361733da631c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006437", "prompt": "Evaluate: 34388 * 5646 + 3366", "solution_steps": ["Multiply: 34388 * 5646 = 194154648", "Add: 194154648 + 3366 = 194158014"], "final_answer": "194158014", "answer_type": "integer", "kind": "expression", "math_text": "34388 * 5646 + 3366", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 34388, \"b\": 5646, \"c\": 3366}", "seed": "9218309878390531191", "semantic_fingerprint": "sha256:ce4709c75215bce23dcd78946fb86f4734e42bbd4ab0b73caf61465e3277ddb9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006438", "prompt": "Calculate: 7227 + (20004 + (-88186))", "solution_steps": ["Add: 20004 + (-88186) = -68182", "Add: 7227 + (-68182) = -60955"], "final_answer": "-60955", "answer_type": "integer", "kind": "expression", "math_text": "7227 + (20004 + (-88186))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7227, \"b\": 20004, \"c\": -88186}", "seed": "3520080578107381335", "semantic_fingerprint": "sha256:7f3d1b2a6706f403081def0945ffda020a46f096315d60f7dd7361b72ab1c6db", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006439", "prompt": "What is 1239 - 58425 + (-2865) * (-37264)?", "solution_steps": ["Subtract: 1239 - 58425 = -57186", "Multiply: -2865 * (-37264) = 106761360", "Add: -57186 + 106761360 = 106704174"], "final_answer": "106704174", "answer_type": "integer", "kind": "expression", "math_text": "1239 - 58425 + (-2865) * (-37264)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1239, \"b\": 58425, \"c\": -2865, \"d\": -37264}", "seed": "1713013487823258041", "semantic_fingerprint": "sha256:0d9171fc5959a089e4c9fdef70e508f2c5fc99b5520af7ea9ada05cc36b5a9a8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006440", "prompt": "Solve for x: x + 21188 = 35(x - 8482) - 49451", "solution_steps": ["Expand: x + 21188 = 35x - 296870 - 49451", "Combine constants: x + 21188 = 35x - 346321", "Subtract 35x from both sides: -34x + 21188 = -346321", "Subtract 21188 from both sides: -34x = -367509", "Divide both sides by -34: x = 367509/34"], "final_answer": "367509/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 21188 = 35(x - 8482) - 49451", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21188, \"b\": 35, \"c\": 8482, \"d\": 49451}", "seed": "6555568456558392884", "semantic_fingerprint": "sha256:2ec439074b7e3b7f849957f84033cf3f35d70cfcb03b637e21719ac8641f8478", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006441", "prompt": "What is -47303 - 14794?", "solution_steps": ["Subtract: -47303 - 14794 = -62097"], "final_answer": "-62097", "answer_type": "integer", "kind": "expression", "math_text": "-47303 - 14794", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -47303, \"b\": 14794}", "seed": "15347996800240556860", "semantic_fingerprint": "sha256:be543989abc33e84b4ef083733bf9fed4747987b2c8425cfe28d4f23a9afb4c3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006442", "prompt": "What value of x satisfies x - 23303 = 14(x + 5270) - 99527?", "solution_steps": ["Expand: x - 23303 = 14x + 73780 - 99527", "Combine constants: x - 23303 = 14x - 25747", "Subtract 14x from both sides: -13x - 23303 = -25747", "Add 23303 to both sides: -13x = -2444", "Divide both sides by -13: x = 188"], "final_answer": "188", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 23303 = 14(x + 5270) - 99527", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23303, \"b\": 14, \"c\": 5270, \"e\": -99527, \"x\": 188}", "seed": "15976981371082342382", "semantic_fingerprint": "sha256:214f13e6e4332bd8ceab7ff3b18903ac31947000ecc17c453ac43ed942fc162b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006443", "prompt": "What is -9911 + (-3153) * 52465?", "solution_steps": ["Multiply: -3153 * 52465 = -165422145", "Add: -9911 + (-165422145) = -165432056"], "final_answer": "-165432056", "answer_type": "integer", "kind": "expression", "math_text": "-9911 + (-3153) * 52465", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9911, \"b\": -3153, \"c\": 52465}", "seed": "4692050158928704381", "semantic_fingerprint": "sha256:15685062355f409acf51fcd1ecc82785ceb500951db7d9019b94b016858b51c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006444", "prompt": "Evaluate: -9160 / (-71907) - (-6032)", "solution_steps": ["Divide: -9160 / (-71907) = 9160/71907", "Subtract: 9160/71907 - (-6032) = 433752184/71907"], "final_answer": "433752184/71907", "answer_type": "rational", "kind": "expression", "math_text": "-9160 / (-71907) - (-6032)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9160, \"b\": -71907, \"c\": -6032}", "seed": "13646518779172194201", "semantic_fingerprint": "sha256:54689fea55078598d43ddb4666e8a64cc2ed45b07139e2757f846ff3adfc0a31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006445", "prompt": "Calculate: -4271 / (-26292) * (-6512) - 17641", "solution_steps": ["Divide: -4271 / (-26292) = 4271/26292", "Multiply: (4271/26292) * (-6512) = -6953188/6573", "Subtract: -6953188/6573 - 17641 = -122907481/6573"], "final_answer": "-122907481/6573", "answer_type": "rational", "kind": "expression", "math_text": "-4271 / (-26292) * (-6512) - 17641", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4271, \"b\": -26292, \"c\": -6512, \"d\": 17641}", "seed": "7494050839627098642", "semantic_fingerprint": "sha256:fab4188d5f28341f7e256f132509f7a90fbe914d7024c6053bb6b5464899f62d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006446", "prompt": "What is (2988 - (-1748)) / (-2437 - (-33497)) - (-3345)?", "solution_steps": ["Subtract: 2988 - (-1748) = 4736", "Subtract: -2437 - (-33497) = 31060", "Divide: 4736 / 31060 = 1184/7765", "Subtract: 1184/7765 - (-3345) = 25975109/7765"], "final_answer": "25975109/7765", "answer_type": "rational", "kind": "expression", "math_text": "(2988 - (-1748)) / (-2437 - (-33497)) - (-3345)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2988, \"b\": -1748, \"c\": -2437, \"d\": -33497, \"e\": -3345}", "seed": "83123267240708445", "semantic_fingerprint": "sha256:02c1d45a370616a27164e6cf9f410673868e64bebc618ed4ae8dd444775f8f3a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006447", "prompt": "What value of x satisfies 32(x + 47276) + 94264 = 33x + 55431?", "solution_steps": ["Expand: 32x + 1512832 + 94264 = 33x + 55431", "Combine constants: 32x + 1607096 = 33x + 55431", "Subtract 33x from both sides: -x + 1607096 = 55431", "Subtract 1607096 from both sides: -x = -1551665", "Divide both sides by -1: x = 1551665"], "final_answer": "1551665", "answer_type": "integer", "kind": "linear_equation", "math_text": "32(x + 47276) + 94264 = 33x + 55431", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 47276, \"c\": 94264, \"d\": 33, \"e\": 55431}", "seed": "3073463704892645538", "semantic_fingerprint": "sha256:b9225cdb832ecbb803b6790e83743722ed0cba0b61d1f7f311b371616b41a874", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006448", "prompt": "Calculate: 9482 * (-2268) - 66099", "solution_steps": ["Multiply: 9482 * (-2268) = -21505176", "Subtract: -21505176 - 66099 = -21571275"], "final_answer": "-21571275", "answer_type": "integer", "kind": "expression", "math_text": "9482 * (-2268) - 66099", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9482, \"b\": -2268, \"c\": 66099}", "seed": "7448434360135615498", "semantic_fingerprint": "sha256:17555c3c110c5d5ab8a74f9523af390091535eff9cbbeddd5123b064e97a69b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006449", "prompt": "Find x: 27x - 15218 = 25(x - 5361) - 3917", "solution_steps": ["Expand: 27x - 15218 = 25x - 134025 - 3917", "Combine constants: 27x - 15218 = 25x - 137942", "Subtract 25x from both sides: 2x - 15218 = -137942", "Add 15218 to both sides: 2x = -122724", "Divide both sides by 2: x = -61362"], "final_answer": "-61362", "answer_type": "integer", "kind": "linear_equation", "math_text": "27x - 15218 = 25(x - 5361) - 3917", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 15218, \"c\": 25, \"d\": 5361, \"e\": 3917}", "seed": "6640809283899114230", "semantic_fingerprint": "sha256:bc6bb6c51bd3017298d8ccd75209c0bf58dc68e2ed16aa28344e1458b835f926", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006450", "prompt": "What value of x satisfies 14x - 5188 = 17(x + 1480) - 30870?", "solution_steps": ["Expand: 14x - 5188 = 17x + 25160 - 30870", "Combine constants: 14x - 5188 = 17x - 5710", "Subtract 17x from both sides: -3x - 5188 = -5710", "Add 5188 to both sides: -3x = -522", "Divide both sides by -3: x = 174"], "final_answer": "174", "answer_type": "integer", "kind": "linear_equation", "math_text": "14x - 5188 = 17(x + 1480) - 30870", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 5188, \"c\": 17, \"d\": 1480, \"f\": -30870, \"x\": 174}", "seed": "5396218667433991984", "semantic_fingerprint": "sha256:d69f828b5dc99f5bdb68943e9bcdd1dec6b13063842519cebe33897befc8db69", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006451", "prompt": "Solve the equation 20x + 30695 = -13(x - 2714) for x.", "solution_steps": ["Expand: 20x + 30695 = -13x + 35282", "Add 13x to both sides: 33x + 30695 = 35282", "Subtract 30695 from both sides: 33x = 4587", "Divide both sides by 33: x = 139"], "final_answer": "139", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 30695 = -13(x - 2714)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": -13, \"c\": 2714, \"e\": 30695, \"x\": 139}", "seed": "6172438540261914599", "semantic_fingerprint": "sha256:4edf51e285e22c514c075bbbfe2ad33e502f16e389d2fb7599f4219c5d8d8a17", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006452", "prompt": "What is 10735 * 9337?", "solution_steps": ["Multiply: 10735 * 9337 = 100232695"], "final_answer": "100232695", "answer_type": "integer", "kind": "expression", "math_text": "10735 * 9337", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 10735, \"b\": 9337}", "seed": "16876728734933952620", "semantic_fingerprint": "sha256:220db61b0f6e0b888125dddb4e8dfa50cc564006f78aed0e030147258955af27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006453", "prompt": "Find x: 34(x - 8462) + 6968 = -18(x + 6252) + 25706", "solution_steps": ["Expand: 34x - 287708 + 6968 = -18(x + 6252) + 25706", "Expand: 34x - 287708 + 6968 = -18x - 112536 + 25706", "Combine constants: 34x - 280740 = -18x - 112536 + 25706", "Combine constants: 34x - 280740 = -18x - 86830", "Add 18x to both sides: 52x - 280740 = -86830", "Add 280740 to both sides: 52x = 193910", "Divide both sides by 52: x = 96955/26"], "final_answer": "96955/26", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 8462) + 6968 = -18(x + 6252) + 25706", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 8462, \"c\": 6968, \"d\": -18, \"e\": 6252, \"f\": 25706}", "seed": "10797271171625226845", "semantic_fingerprint": "sha256:e5f8cab11955ed0c4528ba38d2ef8cf35effe497e55fde413334b253f40814f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006454", "prompt": "What value of x satisfies -18(x + 3059) + 26150 = 27(x + 99180) + 7345?", "solution_steps": ["Expand: -18x - 55062 + 26150 = 27(x + 99180) + 7345", "Expand: -18x - 55062 + 26150 = 27x + 2677860 + 7345", "Combine constants: -18x - 28912 = 27x + 2677860 + 7345", "Combine constants: -18x - 28912 = 27x + 2685205", "Subtract 27x from both sides: -45x - 28912 = 2685205", "Add 28912 to both sides: -45x = 2714117", "Divide both sides by -45: x = -2714117/45"], "final_answer": "-2714117/45", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x + 3059) + 26150 = 27(x + 99180) + 7345", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 3059, \"c\": 26150, \"d\": 27, \"e\": 99180, \"f\": 7345}", "seed": "15340334016450153727", "semantic_fingerprint": "sha256:3c677d742c26ac21b1ea22dbc7eb87f891057fdcc5e306c49ef621ef9ce05842", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006455", "prompt": "Evaluate: -7822 + 9789", "solution_steps": ["Add: -7822 + 9789 = 1967"], "final_answer": "1967", "answer_type": "integer", "kind": "expression", "math_text": "-7822 + 9789", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7822, \"b\": 9789}", "seed": "10173660115593954557", "semantic_fingerprint": "sha256:b0335e9a2b9f4e28be486b27e5edd5c9fb582e08b06d20c9476c09ee610e090a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006456", "prompt": "Evaluate: -2387 + (-4020) - 75341 * 8014", "solution_steps": ["Add: -2387 + (-4020) = -6407", "Multiply: 75341 * 8014 = 603782774", "Subtract: -6407 - 603782774 = -603789181"], "final_answer": "-603789181", "answer_type": "integer", "kind": "expression", "math_text": "-2387 + (-4020) - 75341 * 8014", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2387, \"b\": -4020, \"c\": 75341, \"d\": 8014}", "seed": "15741262492930483047", "semantic_fingerprint": "sha256:e9688931774f7635ad3568a0f309f18dafeb85af7ed8021fc1cb5e9067708e07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006457", "prompt": "Solve for x: 38(x - 7799) = -32(x - 29449) + 11885", "solution_steps": ["Expand: 38x - 296362 = -32(x - 29449) + 11885", "Expand: 38x - 296362 = -32x + 942368 + 11885", "Combine constants: 38x - 296362 = -32x + 954253", "Add 32x to both sides: 70x - 296362 = 954253", "Add 296362 to both sides: 70x = 1250615", "Divide both sides by 70: x = 250123/14"], "final_answer": "250123/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x - 7799) = -32(x - 29449) + 11885", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 7799, \"c\": -32, \"d\": 29449, \"e\": 11885}", "seed": "12882002072366800745", "semantic_fingerprint": "sha256:acb69a6e251bf2e84f5f12d5f8b39efe48741978201d4af06516c3fe8bd5368d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006458", "prompt": "Evaluate: 7520 - 26279 / (-83025) + (-5037 - 1492)", "solution_steps": ["Divide: 26279 / (-83025) = -26279/83025", "Subtract: 7520 - (-26279/83025) = 624374279/83025", "Subtract: -5037 - 1492 = -6529", "Add: 624374279/83025 + (-6529) = 82304054/83025"], "final_answer": "82304054/83025", "answer_type": "rational", "kind": "expression", "math_text": "7520 - 26279 / (-83025) + (-5037 - 1492)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7520, \"b\": 26279, \"c\": -83025, \"d\": -5037, \"e\": 1492}", "seed": "11087582871521503965", "semantic_fingerprint": "sha256:4bdd4c3414b272e1e2f91c9dca2bba180e2ce2d79c7e88b2e873c4ce95438e00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006459", "prompt": "Calculate: (-80480 - 7984 * 3579) / (-6577 - (-8902))", "solution_steps": ["Multiply: 7984 * 3579 = 28574736", "Subtract: -80480 - 28574736 = -28655216", "Subtract: -6577 - (-8902) = 2325", "Divide: -28655216 / 2325 = -28655216/2325"], "final_answer": "-28655216/2325", "answer_type": "rational", "kind": "expression", "math_text": "(-80480 - 7984 * 3579) / (-6577 - (-8902))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -80480, \"b\": 7984, \"c\": 3579, \"d\": -6577, \"e\": -8902}", "seed": "4982566451593737953", "semantic_fingerprint": "sha256:b6d94aac1281f78adbc6249c0b520e18f0a7958dad670bb6197fac3e54c85557", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006460", "prompt": "What value of x satisfies 15x = -14x - 4003?", "solution_steps": ["Add 14x to both sides: 29x = -4003", "Divide both sides by 29: x = -4003/29"], "final_answer": "-4003/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "15x = -14x - 4003", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": -14, \"c\": 4003}", "seed": "2684920867682180507", "semantic_fingerprint": "sha256:dbf11cf3c4e7f1ac601a07372f9895d3c467c1c00dbe1d91b5d1a413d9efa975", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006461", "prompt": "Solve for x: 19x + 2808 = x", "solution_steps": ["Subtract x from both sides: 18x + 2808 = 0", "Subtract 2808 from both sides: 18x = -2808", "Divide both sides by 18: x = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "linear_equation", "math_text": "19x + 2808 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 19, \"c\": 2808, \"x\": -156}", "seed": "6011945152641769550", "semantic_fingerprint": "sha256:34e376070347b520cb5e93965df9326e1b15938234621cf134213d3933f87239", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006462", "prompt": "Evaluate: (3696 + 7225) * 1278", "solution_steps": ["Add: 3696 + 7225 = 10921", "Multiply: 10921 * 1278 = 13957038"], "final_answer": "13957038", "answer_type": "integer", "kind": "expression", "math_text": "(3696 + 7225) * 1278", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3696, \"b\": 7225, \"c\": 1278}", "seed": "11839335403261463530", "semantic_fingerprint": "sha256:670a6f0a5bcefca8c0b241a81e91307758f47d626177e17f5dccc0057a0673dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006463", "prompt": "Find x: 21(x + 9828) + 5226 = -18x - 30979", "solution_steps": ["Expand: 21x + 206388 + 5226 = -18x - 30979", "Combine constants: 21x + 211614 = -18x - 30979", "Add 18x to both sides: 39x + 211614 = -30979", "Subtract 211614 from both sides: 39x = -242593", "Divide both sides by 39: x = -18661/3"], "final_answer": "-18661/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 9828) + 5226 = -18x - 30979", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 9828, \"c\": 5226, \"d\": -18, \"e\": 30979}", "seed": "17368100874013464721", "semantic_fingerprint": "sha256:9ae3496bf482108a1b4dbb7294452ca3f27161bbf74bb81657623c871a31aa65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006464", "prompt": "What value of x satisfies x = -23(x - 2636) + 67334?", "solution_steps": ["Expand: x = -23x + 60628 + 67334", "Combine constants: x = -23x + 127962", "Add 23x to both sides: 24x = 127962", "Divide both sides by 24: x = 21327/4"], "final_answer": "21327/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -23(x - 2636) + 67334", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 2636, \"c\": 67334}", "seed": "7609245514403100423", "semantic_fingerprint": "sha256:c76771e2242c16db9f3d864d4b07b076732da2d3978f205315308f4eaee18716", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006465", "prompt": "Calculate: -1396 + (-61243) + (-9607 + (-1650) - (-38275) / 84728)", "solution_steps": ["Add: -1396 + (-61243) = -62639", "Add: -9607 + (-1650) = -11257", "Divide: -38275 / 84728 = -38275/84728", "Subtract: -11257 - (-38275/84728) = -953744821/84728", "Add: -62639 + (-953744821/84728) = -6261022013/84728"], "final_answer": "-6261022013/84728", "answer_type": "rational", "kind": "expression", "math_text": "-1396 + (-61243) + (-9607 + (-1650) - (-38275) / 84728)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (+ n n) (/ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -1396, \"b\": -61243, \"c\": -9607, \"d\": -1650, \"e\": -38275, \"f\": 84728}", "seed": "15089550431013608024", "semantic_fingerprint": "sha256:6cd6c0c429b2c9e57e59ae120e3324dbfa5e26a9e3dbd105855b5819a001491e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006466", "prompt": "Evaluate: 6289 - (-8916 / 14568 + (-1183 - (-56864)))", "solution_steps": ["Divide: -8916 / 14568 = -743/1214", "Subtract: -1183 - (-56864) = 55681", "Add: -743/1214 + 55681 = 67595991/1214", "Subtract: 6289 - 67595991/1214 = -59961145/1214"], "final_answer": "-59961145/1214", "answer_type": "rational", "kind": "expression", "math_text": "6289 - (-8916 / 14568 + (-1183 - (-56864)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6289, \"b\": -8916, \"c\": 14568, \"d\": -1183, \"e\": -56864}", "seed": "2715602516416488214", "semantic_fingerprint": "sha256:0de5afe673e87a56de65cc4ba20c05a97bb10271b8d38b006852c4b69eda417a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006467", "prompt": "Calculate: 3510 + (9731 - (-6792) - 5414) * (-8926 * 5100)", "solution_steps": ["Subtract: 9731 - (-6792) = 16523", "Subtract: 16523 - 5414 = 11109", "Multiply: -8926 * 5100 = -45522600", "Multiply: 11109 * (-45522600) = -505710563400", "Add: 3510 + (-505710563400) = -505710559890"], "final_answer": "-505710559890", "answer_type": "integer", "kind": "expression", "math_text": "3510 + (9731 - (-6792) - 5414) * (-8926 * 5100)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (- (- n n) n) (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 3510, \"b\": 9731, \"c\": -6792, \"d\": 5414, \"e\": -8926, \"f\": 5100}", "seed": "7158956144709233966", "semantic_fingerprint": "sha256:2346b0d98b0696c195b93f8fd4d167c63570e44b0c67021527ebb24071c12c88", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006468", "prompt": "Solve the equation 27(x - 4032) = -28(x + 65758) for x.", "solution_steps": ["Expand: 27x - 108864 = -28(x + 65758)", "Expand: 27x - 108864 = -28x - 1841224", "Add 28x to both sides: 55x - 108864 = -1841224", "Add 108864 to both sides: 55x = -1732360", "Divide both sides by 55: x = -346472/11"], "final_answer": "-346472/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "27(x - 4032) = -28(x + 65758)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27, \"b\": 4032, \"c\": -28, \"d\": 65758}", "seed": "11920766903487044628", "semantic_fingerprint": "sha256:3cd6e508272e91f54e517e524dccc652d147e631d1a90022116c7eab014817f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006469", "prompt": "Compute: 27849 - 5182 - (-2606) * 4401", "solution_steps": ["Subtract: 27849 - 5182 = 22667", "Multiply: -2606 * 4401 = -11469006", "Subtract: 22667 - (-11469006) = 11491673"], "final_answer": "11491673", "answer_type": "integer", "kind": "expression", "math_text": "27849 - 5182 - (-2606) * 4401", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 27849, \"b\": 5182, \"c\": -2606, \"d\": 4401}", "seed": "9363990020340666068", "semantic_fingerprint": "sha256:525a6337ad3ea972303f95f25c61f9667b80cbb276cf31515cb86a12a7d16745", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006470", "prompt": "Evaluate: -60537 + (-4644)", "solution_steps": ["Add: -60537 + (-4644) = -65181"], "final_answer": "-65181", "answer_type": "integer", "kind": "expression", "math_text": "-60537 + (-4644)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -60537, \"b\": -4644}", "seed": "10012682305451201319", "semantic_fingerprint": "sha256:458b4663ae9249b6cc8f7dfaa30ffa6c48da7bc4ed6c622658bb7e91e145d156", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006471", "prompt": "Evaluate: (-75432 + ((-9315 + 5072) * 91449 - (-3757))) / (-4413)", "solution_steps": ["Add: -9315 + 5072 = -4243", "Multiply: -4243 * 91449 = -388018107", "Subtract: -388018107 - (-3757) = -388014350", "Add: -75432 + (-388014350) = -388089782", "Divide: -388089782 / (-4413) = 388089782/4413"], "final_answer": "388089782/4413", "answer_type": "rational", "kind": "expression", "math_text": "(-75432 + ((-9315 + 5072) * 91449 - (-3757))) / (-4413)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- (* (+ n n) n) n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -75432, \"b\": -9315, \"c\": 5072, \"d\": 91449, \"e\": -3757, \"f\": -4413}", "seed": "3345758137716973936", "semantic_fingerprint": "sha256:9ca03ff89ade2d77c2edc57b163470bc3a01cbfdd135e952075484bb36026a32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006472", "prompt": "Calculate: -26461 * (5198 + (-8889 - (-2659)))", "solution_steps": ["Subtract: -8889 - (-2659) = -6230", "Add: 5198 + (-6230) = -1032", "Multiply: -26461 * (-1032) = 27307752"], "final_answer": "27307752", "answer_type": "integer", "kind": "expression", "math_text": "-26461 * (5198 + (-8889 - (-2659)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26461, \"b\": 5198, \"c\": -8889, \"d\": -2659}", "seed": "15473304749721374034", "semantic_fingerprint": "sha256:2defd28b03054d8cc52eb10be1d2e5428c69fbf17da97d50b50d90e18977f4f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006473", "prompt": "Evaluate: -4448 + 64331 + (-99383) + (-19518)", "solution_steps": ["Add: -4448 + 64331 = 59883", "Add: 59883 + (-99383) = -39500", "Add: -39500 + (-19518) = -59018"], "final_answer": "-59018", "answer_type": "integer", "kind": "expression", "math_text": "-4448 + 64331 + (-99383) + (-19518)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4448, \"b\": 64331, \"c\": -99383, \"d\": -19518}", "seed": "10371690557037708031", "semantic_fingerprint": "sha256:783c60d37d7e6db4fc6ae8c7d297f7fbc215525e66b907048794747c0f6b84ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006474", "prompt": "What is -6947 + 30219 - 7087?", "solution_steps": ["Add: -6947 + 30219 = 23272", "Subtract: 23272 - 7087 = 16185"], "final_answer": "16185", "answer_type": "integer", "kind": "expression", "math_text": "-6947 + 30219 - 7087", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6947, \"b\": 30219, \"c\": 7087}", "seed": "8239294758298919479", "semantic_fingerprint": "sha256:b35487c76745f93c3cbaa85a8305df0d328cf9a8a7ea63ff8eadcf8c87e0f9d7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006475", "prompt": "Compute: -3603 - 4401", "solution_steps": ["Subtract: -3603 - 4401 = -8004"], "final_answer": "-8004", "answer_type": "integer", "kind": "expression", "math_text": "-3603 - 4401", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -3603, \"b\": 4401}", "seed": "3107615112961616198", "semantic_fingerprint": "sha256:7c9d8bdbfe46f369579d36913a72bd03b292266d07ecaa3c56dd67300f881a9b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006476", "prompt": "Solve for x: x + 7254 = -27(x - 78910) + 4114", "solution_steps": ["Expand: x + 7254 = -27x + 2130570 + 4114", "Combine constants: x + 7254 = -27x + 2134684", "Add 27x to both sides: 28x + 7254 = 2134684", "Subtract 7254 from both sides: 28x = 2127430", "Divide both sides by 28: x = 1063715/14"], "final_answer": "1063715/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 7254 = -27(x - 78910) + 4114", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7254, \"b\": -27, \"c\": 78910, \"d\": 4114}", "seed": "12804315332616294710", "semantic_fingerprint": "sha256:9a09d2aafd2db839ba43c7489457d0b44eb32e4201eaf0b400b27b23018d301d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006477", "prompt": "What is 8350 + 66168?", "solution_steps": ["Add: 8350 + 66168 = 74518"], "final_answer": "74518", "answer_type": "integer", "kind": "expression", "math_text": "8350 + 66168", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8350, \"b\": 66168}", "seed": "9747641205706665034", "semantic_fingerprint": "sha256:e79af74a7c9b3184a84f5d230510efe285c105ca0b229640ef049ec4fe0b56b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006478", "prompt": "Evaluate: -4284 - (1200 - 5108)", "solution_steps": ["Subtract: 1200 - 5108 = -3908", "Subtract: -4284 - (-3908) = -376"], "final_answer": "-376", "answer_type": "integer", "kind": "expression", "math_text": "-4284 - (1200 - 5108)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4284, \"b\": 1200, \"c\": 5108}", "seed": "5836064355878515383", "semantic_fingerprint": "sha256:97524fde0ce2abfeac2fa63eadb24adbdbe6be2452fc719212f55125a3c085bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006479", "prompt": "Compute: -33736 + 2679", "solution_steps": ["Add: -33736 + 2679 = -31057"], "final_answer": "-31057", "answer_type": "integer", "kind": "expression", "math_text": "-33736 + 2679", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -33736, \"b\": 2679}", "seed": "16165585186626196981", "semantic_fingerprint": "sha256:8314fbddfd3dd115a347fc4df85ae95b9b56ca40c4ce6491ee70708fb0d64416", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006480", "prompt": "Solve for x: 30(x - 5039) + 49006 = x", "solution_steps": ["Expand: 30x - 151170 + 49006 = x", "Combine constants: 30x - 102164 = x", "Subtract x from both sides: 29x - 102164 = 0", "Add 102164 to both sides: 29x = 102164", "Divide both sides by 29: x = 102164/29"], "final_answer": "102164/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 5039) + 49006 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 5039, \"c\": 49006}", "seed": "13104254042588083865", "semantic_fingerprint": "sha256:c14a2ce25182aa67b21ae84bfa75ce70852b59befa05bc63f989b31f52bba4d2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006481", "prompt": "Compute: -33204 + 1127 * (-92729) + (-6727)", "solution_steps": ["Multiply: 1127 * (-92729) = -104505583", "Add: -33204 + (-104505583) = -104538787", "Add: -104538787 + (-6727) = -104545514"], "final_answer": "-104545514", "answer_type": "integer", "kind": "expression", "math_text": "-33204 + 1127 * (-92729) + (-6727)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -33204, \"b\": 1127, \"c\": -92729, \"d\": -6727}", "seed": "10732323436236932570", "semantic_fingerprint": "sha256:efa57b214dbf003606f6c0672e6b47fde7d3017d767443e1b756e00562f4111d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006482", "prompt": "Compute: -48397 + (-32782) + (-6075 - 2924)", "solution_steps": ["Add: -48397 + (-32782) = -81179", "Subtract: -6075 - 2924 = -8999", "Add: -81179 + (-8999) = -90178"], "final_answer": "-90178", "answer_type": "integer", "kind": "expression", "math_text": "-48397 + (-32782) + (-6075 - 2924)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -48397, \"b\": -32782, \"c\": -6075, \"d\": 2924}", "seed": "7895933156128844109", "semantic_fingerprint": "sha256:9d665e828e302976ec2eef6b15d6c66065341c68884862f21736fb35963edc2f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006483", "prompt": "What is (86212 + 4816) / (-2451) - (-39305) + 7641 * 52308?", "solution_steps": ["Add: 86212 + 4816 = 91028", "Divide: 91028 / (-2451) = -91028/2451", "Subtract: -91028/2451 - (-39305) = 96245527/2451", "Multiply: 7641 * 52308 = 399685428", "Add: 96245527/2451 + 399685428 = 979725229555/2451"], "final_answer": "979725229555/2451", "answer_type": "rational", "kind": "expression", "math_text": "(86212 + 4816) / (-2451) - (-39305) + 7641 * 52308", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ (+ n n) n) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 86212, \"b\": 4816, \"c\": -2451, \"d\": -39305, \"e\": 7641, \"f\": 52308}", "seed": "2003255414482245810", "semantic_fingerprint": "sha256:6bc2b5d7204315dce684dbe2a1e2a7469454e6a0abba7506ca1ef4abcedad637", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006484", "prompt": "Evaluate: -6489 * (1580 * (-5736))", "solution_steps": ["Multiply: 1580 * (-5736) = -9062880", "Multiply: -6489 * (-9062880) = 58809028320"], "final_answer": "58809028320", "answer_type": "integer", "kind": "expression", "math_text": "-6489 * (1580 * (-5736))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6489, \"b\": 1580, \"c\": -5736}", "seed": "7817787097482721003", "semantic_fingerprint": "sha256:b72b45458051b487fafa1ff876b04f8b800c524c58f1d5ff5284ae992b59aff9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006485", "prompt": "What is 59652 + 5732?", "solution_steps": ["Add: 59652 + 5732 = 65384"], "final_answer": "65384", "answer_type": "integer", "kind": "expression", "math_text": "59652 + 5732", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 59652, \"b\": 5732}", "seed": "15017456690508023848", "semantic_fingerprint": "sha256:e1df0d18edfc0002d8f4d2268bfaf89fda9cb1abba9687079ba0f632bf40e169", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006486", "prompt": "Calculate: 76962 / 93159", "solution_steps": ["Divide: 76962 / 93159 = 25654/31053"], "final_answer": "25654/31053", "answer_type": "rational", "kind": "expression", "math_text": "76962 / 93159", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 76962, \"b\": 93159}", "seed": "5680794991590144861", "semantic_fingerprint": "sha256:4241d80d21fe9ee5454e10f0318cc8892421c959d4921236ec24a9c91af73435", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006487", "prompt": "Calculate: 4364 * (-13092)", "solution_steps": ["Multiply: 4364 * (-13092) = -57133488"], "final_answer": "-57133488", "answer_type": "integer", "kind": "expression", "math_text": "4364 * (-13092)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 4364, \"b\": -13092}", "seed": "13980042585682761433", "semantic_fingerprint": "sha256:6a9e1b8f4865588354747300a2f6a7909827eeac77c7b472a7492bf6bd6f772a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006488", "prompt": "Compute: 5182 - (-57527) + (88170 - (-5250))", "solution_steps": ["Subtract: 5182 - (-57527) = 62709", "Subtract: 88170 - (-5250) = 93420", "Add: 62709 + 93420 = 156129"], "final_answer": "156129", "answer_type": "integer", "kind": "expression", "math_text": "5182 - (-57527) + (88170 - (-5250))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5182, \"b\": -57527, \"c\": 88170, \"d\": -5250}", "seed": "13166907885128250462", "semantic_fingerprint": "sha256:d2b96da5f2e5792f491436af8f2cc5feacbd0686469e44c66db1782f6edeaa31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006489", "prompt": "Evaluate: 64845 - (24382 - 98888) / (-57248)", "solution_steps": ["Subtract: 24382 - 98888 = -74506", "Divide: -74506 / (-57248) = 37253/28624", "Subtract: 64845 - 37253/28624 = 1856086027/28624"], "final_answer": "1856086027/28624", "answer_type": "rational", "kind": "expression", "math_text": "64845 - (24382 - 98888) / (-57248)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 64845, \"b\": 24382, \"c\": 98888, \"d\": -57248}", "seed": "12734219504165305236", "semantic_fingerprint": "sha256:f7f0d5fe8bfbe4041a78485ef0681f4cbfda743a128d770689d756bbb134072d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006490", "prompt": "Evaluate: 9299 - (-6760 - 5086)", "solution_steps": ["Subtract: -6760 - 5086 = -11846", "Subtract: 9299 - (-11846) = 21145"], "final_answer": "21145", "answer_type": "integer", "kind": "expression", "math_text": "9299 - (-6760 - 5086)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9299, \"b\": -6760, \"c\": 5086}", "seed": "6900254457803410186", "semantic_fingerprint": "sha256:90413b5a64ac77e052ebb607d424450ae0f989f465fa911461afdebef3238f5c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006491", "prompt": "What value of x satisfies 16x = x + 8093?", "solution_steps": ["Subtract x from both sides: 15x = 8093", "Divide both sides by 15: x = 8093/15"], "final_answer": "8093/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x = x + 8093", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 8093}", "seed": "14266096069538953872", "semantic_fingerprint": "sha256:212870c43c62d8701e37d46bd814b1cfd331f88bd652634ce8e4a7c668c7b6f5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006492", "prompt": "Evaluate: -5808 / 47556 * (46819 * 6687)", "solution_steps": ["Divide: -5808 / 47556 = -484/3963", "Multiply: 46819 * 6687 = 313078653", "Multiply: (-484/3963) * 313078653 = -50510022684/1321"], "final_answer": "-50510022684/1321", "answer_type": "rational", "kind": "expression", "math_text": "-5808 / 47556 * (46819 * 6687)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5808, \"b\": 47556, \"c\": 46819, \"d\": 6687}", "seed": "5378711741082111903", "semantic_fingerprint": "sha256:8f91c0b60cbe6cceac0202abc31840ef12545814b7c8c93bf8483afbe6ce54bb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006493", "prompt": "Find x: 29(x + 9192) - 47537 = -6097", "solution_steps": ["Expand: 29x + 266568 - 47537 = -6097", "Combine constants: 29x + 219031 = -6097", "Subtract 219031 from both sides: 29x = -225128", "Divide both sides by 29: x = -225128/29"], "final_answer": "-225128/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x + 9192) - 47537 = -6097", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 9192, \"c\": 47537, \"d\": -6097}", "seed": "5783700319120333342", "semantic_fingerprint": "sha256:9c8ab9e6772f8cee32957d9c0ab4346e3e76c86a0c5a21321118ff2973525933", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006494", "prompt": "What is 7018 - (39711 + (-33570 + 44848) * (-87987))?", "solution_steps": ["Add: -33570 + 44848 = 11278", "Multiply: 11278 * (-87987) = -992317386", "Add: 39711 + (-992317386) = -992277675", "Subtract: 7018 - (-992277675) = 992284693"], "final_answer": "992284693", "answer_type": "integer", "kind": "expression", "math_text": "7018 - (39711 + (-33570 + 44848) * (-87987))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7018, \"b\": 39711, \"c\": -33570, \"d\": 44848, \"e\": -87987}", "seed": "16041008581354439136", "semantic_fingerprint": "sha256:93c9d1d293c88593d9bf02f41c3b526683d15af760d587049877169869490f4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006495", "prompt": "Compute: 2689 - 52437", "solution_steps": ["Subtract: 2689 - 52437 = -49748"], "final_answer": "-49748", "answer_type": "integer", "kind": "expression", "math_text": "2689 - 52437", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2689, \"b\": 52437}", "seed": "4037886440390416589", "semantic_fingerprint": "sha256:160650d3ad70345f48701c603c090fa48d105f5807d909fc83ba3d3de4f1ad82", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006496", "prompt": "What value of x satisfies -20(x + 5191) + 39242 = 24x - 73070?", "solution_steps": ["Expand: -20x - 103820 + 39242 = 24x - 73070", "Combine constants: -20x - 64578 = 24x - 73070", "Subtract 24x from both sides: -44x - 64578 = -73070", "Add 64578 to both sides: -44x = -8492", "Divide both sides by -44: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "-20(x + 5191) + 39242 = 24x - 73070", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 5191, \"c\": 39242, \"d\": 24, \"f\": -73070, \"x\": 193}", "seed": "3921772580772487117", "semantic_fingerprint": "sha256:b0bc6626a7b4629dc954c447475cedefa03603a6940b567f401081418539c973", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006497", "prompt": "Solve the equation 32x - 57658 = x - 9581 for x.", "solution_steps": ["Subtract x from both sides: 31x - 57658 = -9581", "Add 57658 to both sides: 31x = 48077", "Divide both sides by 31: x = 48077/31"], "final_answer": "48077/31", "answer_type": "rational", "kind": "linear_equation", "math_text": "32x - 57658 = x - 9581", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 57658, \"c\": 9581}", "seed": "12561646815027113067", "semantic_fingerprint": "sha256:d5e8d30297048937c337b604cd0b11547564706370a6ca35b9dcccee4740cdb8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006498", "prompt": "Calculate: -8656 * 19712 + (60501 + (-3589))", "solution_steps": ["Multiply: -8656 * 19712 = -170627072", "Add: 60501 + (-3589) = 56912", "Add: -170627072 + 56912 = -170570160"], "final_answer": "-170570160", "answer_type": "integer", "kind": "expression", "math_text": "-8656 * 19712 + (60501 + (-3589))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8656, \"b\": 19712, \"c\": 60501, \"d\": -3589}", "seed": "12931200558292394061", "semantic_fingerprint": "sha256:0e9433c80ab837bb4e69d4264663abbd77dc0458a7ccca19d4eae254d21be0d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006499", "prompt": "Evaluate: -2302 * (-92467 - 7508 * (-11838))", "solution_steps": ["Multiply: 7508 * (-11838) = -88879704", "Subtract: -92467 - (-88879704) = 88787237", "Multiply: -2302 * 88787237 = -204388219574"], "final_answer": "-204388219574", "answer_type": "integer", "kind": "expression", "math_text": "-2302 * (-92467 - 7508 * (-11838))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2302, \"b\": -92467, \"c\": 7508, \"d\": -11838}", "seed": "6286022027390234955", "semantic_fingerprint": "sha256:70a019504f43f077b2fcafd21384e748286cb99150eabf9759379736b42184c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006500", "prompt": "Calculate: -5573 - (54382 + 44234) / (9778 / 28605)", "solution_steps": ["Add: 54382 + 44234 = 98616", "Divide: 9778 / 28605 = 9778/28605", "Divide: 98616 / (9778/28605) = 1410455340/4889", "Subtract: -5573 - 1410455340/4889 = -1437701737/4889"], "final_answer": "-1437701737/4889", "answer_type": "rational", "kind": "expression", "math_text": "-5573 - (54382 + 44234) / (9778 / 28605)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5573, \"b\": 54382, \"c\": 44234, \"d\": 9778, \"e\": 28605}", "seed": "11447912631740505526", "semantic_fingerprint": "sha256:499a87744a0d86f23a5bd2130eef0de003190a81c58fe7df19a6b25950473f90", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006501", "prompt": "Solve for x: -20(x + 2651) - 4703 = 24(x + 49467) - 2824", "solution_steps": ["Expand: -20x - 53020 - 4703 = 24(x + 49467) - 2824", "Expand: -20x - 53020 - 4703 = 24x + 1187208 - 2824", "Combine constants: -20x - 57723 = 24x + 1187208 - 2824", "Combine constants: -20x - 57723 = 24x + 1184384", "Subtract 24x from both sides: -44x - 57723 = 1184384", "Add 57723 to both sides: -44x = 1242107", "Divide both sides by -44: x = -1242107/44"], "final_answer": "-1242107/44", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20(x + 2651) - 4703 = 24(x + 49467) - 2824", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 2651, \"c\": 4703, \"d\": 24, \"e\": 49467, \"f\": 2824}", "seed": "77569632491670841", "semantic_fingerprint": "sha256:df2ce47c5672e9a1b9ec80510b42c14e90037238cbc3d126db1b2bd68c568da4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006502", "prompt": "Solve for x: 39(x + 8830) = 17(x - 13704)", "solution_steps": ["Expand: 39x + 344370 = 17(x - 13704)", "Expand: 39x + 344370 = 17x - 232968", "Subtract 17x from both sides: 22x + 344370 = -232968", "Subtract 344370 from both sides: 22x = -577338", "Divide both sides by 22: x = -288669/11"], "final_answer": "-288669/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "39(x + 8830) = 17(x - 13704)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 8830, \"c\": 17, \"d\": 13704}", "seed": "15659374970135599630", "semantic_fingerprint": "sha256:babb27bdaf3288da67d7ff208f3443228eefc9ac8fd02b4c12ef2ca93e265f52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006503", "prompt": "Compute: (8746 * 47267 + (-30973) * (-60822) + 77331) / (-51704)", "solution_steps": ["Multiply: 8746 * 47267 = 413397182", "Multiply: -30973 * (-60822) = 1883839806", "Add: 413397182 + 1883839806 = 2297236988", "Add: 2297236988 + 77331 = 2297314319", "Divide: 2297314319 / (-51704) = -2297314319/51704"], "final_answer": "-2297314319/51704", "answer_type": "rational", "kind": "expression", "math_text": "(8746 * 47267 + (-30973) * (-60822) + 77331) / (-51704)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ (* n n) (* n n)) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8746, \"b\": 47267, \"c\": -30973, \"d\": -60822, \"e\": 77331, \"f\": -51704}", "seed": "9433102471332958402", "semantic_fingerprint": "sha256:de78ffccc11a034c3edf800ae75c1022ca847c13b4c0fbc903288f2a176e4e30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006504", "prompt": "What is 2396 + (-61512) - (-2683)?", "solution_steps": ["Add: 2396 + (-61512) = -59116", "Subtract: -59116 - (-2683) = -56433"], "final_answer": "-56433", "answer_type": "integer", "kind": "expression", "math_text": "2396 + (-61512) - (-2683)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2396, \"b\": -61512, \"c\": -2683}", "seed": "5383517579693147037", "semantic_fingerprint": "sha256:eacc0d6e75edbd1df26733995d09617da47f9112e049b1be7deb7bbc5e82d86b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006505", "prompt": "What is -6539 * (-1411 - 64832) - (-24934) - 39178?", "solution_steps": ["Subtract: -1411 - 64832 = -66243", "Multiply: -6539 * (-66243) = 433162977", "Subtract: 433162977 - (-24934) = 433187911", "Subtract: 433187911 - 39178 = 433148733"], "final_answer": "433148733", "answer_type": "integer", "kind": "expression", "math_text": "-6539 * (-1411 - 64832) - (-24934) - 39178", "variable": null, "family": "expression_4op", "shape": "(- (- (* n (- n n)) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6539, \"b\": -1411, \"c\": 64832, \"d\": -24934, \"e\": 39178}", "seed": "12725566165291130309", "semantic_fingerprint": "sha256:c557cc4b729794f13051e031933d0468d13ae397ba37b73a1d8e7696f4f4d77f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006506", "prompt": "Calculate: -5681 / (-6547) - (-7013)", "solution_steps": ["Divide: -5681 / (-6547) = 5681/6547", "Subtract: 5681/6547 - (-7013) = 45919792/6547"], "final_answer": "45919792/6547", "answer_type": "rational", "kind": "expression", "math_text": "-5681 / (-6547) - (-7013)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5681, \"b\": -6547, \"c\": -7013}", "seed": "8211377638203304068", "semantic_fingerprint": "sha256:de47553cffe040003c6aea5739f144f4b01fea74cf843c4d17272b57966a0a5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006507", "prompt": "Find x: 31x + 1140 = 30x - 9458", "solution_steps": ["Subtract 30x from both sides: x + 1140 = -9458", "Subtract 1140 from both sides: x = -10598"], "final_answer": "-10598", "answer_type": "integer", "kind": "linear_equation", "math_text": "31x + 1140 = 30x - 9458", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 1140, \"c\": 30, \"d\": 9458}", "seed": "88138245946090851", "semantic_fingerprint": "sha256:d20b1545f660bdd0ad4b09aa4d0ef7d66137f4449b15e6df2e0cd52cbabab8e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006508", "prompt": "Evaluate: -95967 + (-7640 - 7884)", "solution_steps": ["Subtract: -7640 - 7884 = -15524", "Add: -95967 + (-15524) = -111491"], "final_answer": "-111491", "answer_type": "integer", "kind": "expression", "math_text": "-95967 + (-7640 - 7884)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95967, \"b\": -7640, \"c\": 7884}", "seed": "14817243497849186402", "semantic_fingerprint": "sha256:d10f59cd5e5d4520a9f6f7dcfc69249ae35f27e7ad7197b82991dfe303e51c7f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006509", "prompt": "What is -5037 / (-82231) * (27459 * 4110)?", "solution_steps": ["Divide: -5037 / (-82231) = 5037/82231", "Multiply: 27459 * 4110 = 112856490", "Multiply: (5037/82231) * 112856490 = 568458140130/82231"], "final_answer": "568458140130/82231", "answer_type": "rational", "kind": "expression", "math_text": "-5037 / (-82231) * (27459 * 4110)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5037, \"b\": -82231, \"c\": 27459, \"d\": 4110}", "seed": "17153874181031642411", "semantic_fingerprint": "sha256:3b65e8fa28b37085c09b12a042be7f336b27b63eaf84984d624d0e296f08d674", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006510", "prompt": "Evaluate: -1418 * (-5806)", "solution_steps": ["Multiply: -1418 * (-5806) = 8232908"], "final_answer": "8232908", "answer_type": "integer", "kind": "expression", "math_text": "-1418 * (-5806)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1418, \"b\": -5806}", "seed": "17503685846016774635", "semantic_fingerprint": "sha256:652e39b09f9caf374ca6e1a78761d6fe4387b5d40c09e35093add29ed8e3fabb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006511", "prompt": "Find x: 19(x + 4049) - 46937 = -34(x - 3383) - 80894", "solution_steps": ["Expand: 19x + 76931 - 46937 = -34(x - 3383) - 80894", "Expand: 19x + 76931 - 46937 = -34x + 115022 - 80894", "Combine constants: 19x + 29994 = -34x + 115022 - 80894", "Combine constants: 19x + 29994 = -34x + 34128", "Add 34x to both sides: 53x + 29994 = 34128", "Subtract 29994 from both sides: 53x = 4134", "Divide both sides by 53: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x + 4049) - 46937 = -34(x - 3383) - 80894", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 4049, \"c\": 46937, \"d\": -34, \"e\": 3383, \"g\": -80894, \"x\": 78}", "seed": "7117860701500998778", "semantic_fingerprint": "sha256:de9f2b1bdf48ff42e8fdbbca1ec71ec5c2b0d66ce3ba48b63ce50063fd9b114a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006512", "prompt": "Evaluate: 8405 / (-6429) * (-12786)", "solution_steps": ["Divide: 8405 / (-6429) = -8405/6429", "Multiply: (-8405/6429) * (-12786) = 35822110/2143"], "final_answer": "35822110/2143", "answer_type": "rational", "kind": "expression", "math_text": "8405 / (-6429) * (-12786)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8405, \"b\": -6429, \"c\": -12786}", "seed": "15270795783595427621", "semantic_fingerprint": "sha256:549f84cf203988e33291504912d4eb4b9ea62cb67644d69bcfb29d0b3967d069", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006513", "prompt": "Solve for x: x - 87830 = 14(x + 81659) + 70036", "solution_steps": ["Expand: x - 87830 = 14x + 1143226 + 70036", "Combine constants: x - 87830 = 14x + 1213262", "Subtract 14x from both sides: -13x - 87830 = 1213262", "Add 87830 to both sides: -13x = 1301092", "Divide both sides by -13: x = -100084"], "final_answer": "-100084", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 87830 = 14(x + 81659) + 70036", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 87830, \"b\": 14, \"c\": 81659, \"d\": 70036}", "seed": "14610146181632819294", "semantic_fingerprint": "sha256:265a284b8f229e30d896d81864dcbf11248941f3eac87eb60996a07e83c3e0ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006514", "prompt": "Solve the equation 18(x - 3424) + 61190 = x for x.", "solution_steps": ["Expand: 18x - 61632 + 61190 = x", "Combine constants: 18x - 442 = x", "Subtract x from both sides: 17x - 442 = 0", "Add 442 to both sides: 17x = 442", "Divide both sides by 17: x = 26"], "final_answer": "26", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x - 3424) + 61190 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 3424, \"d\": 61190, \"x\": 26}", "seed": "4233744935989387810", "semantic_fingerprint": "sha256:32a14e5b806a1fb8785f7d14caf9f1d903933958615e4f34422db66de02a461c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006515", "prompt": "Calculate: 7098 / (-62966)", "solution_steps": ["Divide: 7098 / (-62966) = -3549/31483"], "final_answer": "-3549/31483", "answer_type": "rational", "kind": "expression", "math_text": "7098 / (-62966)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7098, \"b\": -62966}", "seed": "6291380588726996732", "semantic_fingerprint": "sha256:40f8fbd1a5f2af0312253e2707faf9a21044284ef59ec0f08d32ab60e00d8510", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006516", "prompt": "What value of x satisfies 26(x + 20846) - 4802 = -18(x - 7962)?", "solution_steps": ["Expand: 26x + 541996 - 4802 = -18(x - 7962)", "Expand: 26x + 541996 - 4802 = -18x + 143316", "Combine constants: 26x + 537194 = -18x + 143316", "Add 18x to both sides: 44x + 537194 = 143316", "Subtract 537194 from both sides: 44x = -393878", "Divide both sides by 44: x = -196939/22"], "final_answer": "-196939/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x + 20846) - 4802 = -18(x - 7962)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 20846, \"c\": 4802, \"d\": -18, \"e\": 7962}", "seed": "16765445927455493893", "semantic_fingerprint": "sha256:77459583b2608934f631f912b28f0cb59a91a1dee6e68c150f786c81d3936895", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006517", "prompt": "Evaluate: 59686 + 94994 - 39671 - 5824", "solution_steps": ["Add: 59686 + 94994 = 154680", "Subtract: 154680 - 39671 = 115009", "Subtract: 115009 - 5824 = 109185"], "final_answer": "109185", "answer_type": "integer", "kind": "expression", "math_text": "59686 + 94994 - 39671 - 5824", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 59686, \"b\": 94994, \"c\": 39671, \"d\": 5824}", "seed": "8591040052779409061", "semantic_fingerprint": "sha256:c6836b0a0067e54245f53c80ea7c503645596adcc2e16d470898750fec841b62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006518", "prompt": "What is -7445 / (-33575) + (-9119)?", "solution_steps": ["Divide: -7445 / (-33575) = 1489/6715", "Add: 1489/6715 + (-9119) = -61232596/6715"], "final_answer": "-61232596/6715", "answer_type": "rational", "kind": "expression", "math_text": "-7445 / (-33575) + (-9119)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7445, \"b\": -33575, \"c\": -9119}", "seed": "17766281722169692476", "semantic_fingerprint": "sha256:a400f7f8b929e75fa3f1389a4a5290ea1c9725e4341ffcbf1582ba02f80bdb53", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006519", "prompt": "Solve for x: x - 23945 = 20(x - 1126)", "solution_steps": ["Expand: x - 23945 = 20x - 22520", "Subtract 20x from both sides: -19x - 23945 = -22520", "Add 23945 to both sides: -19x = 1425", "Divide both sides by -19: x = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 23945 = 20(x - 1126)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 1126, \"d\": -23945, \"x\": -75}", "seed": "10315896194064370025", "semantic_fingerprint": "sha256:bb4d698e202c7d3d56385dcbe6a91e531b2d3df43cae921cf04775e754791138", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006520", "prompt": "Evaluate: -95224 * (-8508 - 6771)", "solution_steps": ["Subtract: -8508 - 6771 = -15279", "Multiply: -95224 * (-15279) = 1454927496"], "final_answer": "1454927496", "answer_type": "integer", "kind": "expression", "math_text": "-95224 * (-8508 - 6771)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -95224, \"b\": -8508, \"c\": 6771}", "seed": "12056639631794656836", "semantic_fingerprint": "sha256:872f9e6df27e9303d6681ed8508e3a888cdd3adca3ffd77c07acae1494d1b3ad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006521", "prompt": "Solve for x: x + 1481 = 35x - 28202", "solution_steps": ["Subtract 35x from both sides: -34x + 1481 = -28202", "Subtract 1481 from both sides: -34x = -29683", "Divide both sides by -34: x = 29683/34"], "final_answer": "29683/34", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1481 = 35x - 28202", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1481, \"b\": 35, \"c\": 28202}", "seed": "9843661552734700753", "semantic_fingerprint": "sha256:712849c1870fecaef5347984929e8eb46ba6db0dfa94addd01114c1a9fe40652", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006522", "prompt": "What value of x satisfies 33(x + 4249) = x?", "solution_steps": ["Expand: 33x + 140217 = x", "Subtract x from both sides: 32x + 140217 = 0", "Subtract 140217 from both sides: 32x = -140217", "Divide both sides by 32: x = -140217/32"], "final_answer": "-140217/32", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 4249) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 4249}", "seed": "9448854164165100982", "semantic_fingerprint": "sha256:fab1629de79ff5ef238a11e09c173eb222e4b5c55278d67a3de742973a86cdad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006523", "prompt": "Calculate: -24921 / (-7531 - (-36343)) - (-3732)", "solution_steps": ["Subtract: -7531 - (-36343) = 28812", "Divide: -24921 / 28812 = -8307/9604", "Subtract: -8307/9604 - (-3732) = 35833821/9604"], "final_answer": "35833821/9604", "answer_type": "rational", "kind": "expression", "math_text": "-24921 / (-7531 - (-36343)) - (-3732)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -24921, \"b\": -7531, \"c\": -36343, \"d\": -3732}", "seed": "3468588236335547683", "semantic_fingerprint": "sha256:f6cca4677b5a0e8100ddce025a212023283e541a9b87c295118820efcd357299", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006524", "prompt": "Calculate: -83601 - 33335", "solution_steps": ["Subtract: -83601 - 33335 = -116936"], "final_answer": "-116936", "answer_type": "integer", "kind": "expression", "math_text": "-83601 - 33335", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -83601, \"b\": 33335}", "seed": "1987810732340218713", "semantic_fingerprint": "sha256:7c5510bb290625f74781e9b48faa0eef46569faaa1938b403833214012c72423", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006525", "prompt": "Solve for x: x - 98396 = 13(x + 9350) + 14986", "solution_steps": ["Expand: x - 98396 = 13x + 121550 + 14986", "Combine constants: x - 98396 = 13x + 136536", "Subtract 13x from both sides: -12x - 98396 = 136536", "Add 98396 to both sides: -12x = 234932", "Divide both sides by -12: x = -58733/3"], "final_answer": "-58733/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 98396 = 13(x + 9350) + 14986", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 98396, \"b\": 13, \"c\": 9350, \"d\": 14986}", "seed": "13719735998778582309", "semantic_fingerprint": "sha256:8945fda7f18c7d1fb1005e0dc41a0931cfd6567c8f8769a4bd3e8b01d1136ba5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006526", "prompt": "Compute: -9295 - (-94534)", "solution_steps": ["Subtract: -9295 - (-94534) = 85239"], "final_answer": "85239", "answer_type": "integer", "kind": "expression", "math_text": "-9295 - (-94534)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9295, \"b\": -94534}", "seed": "2070759283100615475", "semantic_fingerprint": "sha256:2a0e7b9d72640336bb40a09ad69be1d4bb9ff559711946794ca71ab0c997bbd8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006527", "prompt": "What is 89766 - 89605 - (-1026) / (-4451)?", "solution_steps": ["Subtract: 89766 - 89605 = 161", "Divide: -1026 / (-4451) = 1026/4451", "Subtract: 161 - 1026/4451 = 715585/4451"], "final_answer": "715585/4451", "answer_type": "rational", "kind": "expression", "math_text": "89766 - 89605 - (-1026) / (-4451)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 89766, \"b\": 89605, \"c\": -1026, \"d\": -4451}", "seed": "15259078757304989052", "semantic_fingerprint": "sha256:fe7e4dd81c603478714f1fac6f75d6f13d00d3410f6a9b6331b9225c146895e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006528", "prompt": "What value of x satisfies x - 3297 = 22x?", "solution_steps": ["Subtract 22x from both sides: -21x - 3297 = 0", "Add 3297 to both sides: -21x = 3297", "Divide both sides by -21: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3297 = 22x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3297, \"b\": 22}", "seed": "15955197697056856041", "semantic_fingerprint": "sha256:402c53b276954c1a114bd76c485fa66b9d9eb3ad405a6300eb071d0a60e8db8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006529", "prompt": "Find x: 18(x + 94368) = -4773", "solution_steps": ["Expand: 18x + 1698624 = -4773", "Subtract 1698624 from both sides: 18x = -1703397", "Divide both sides by 18: x = -567799/6"], "final_answer": "-567799/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "18(x + 94368) = -4773", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 94368, \"c\": -4773}", "seed": "14051469330928243624", "semantic_fingerprint": "sha256:5e3e720d974ffebf94cacc9797c287f48cdd1913da63267475a2f644b17cdf1b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006530", "prompt": "Evaluate: 1581 / (-1045) - (-4965) - (-4182 + (-2527))", "solution_steps": ["Divide: 1581 / (-1045) = -1581/1045", "Subtract: -1581/1045 - (-4965) = 5186844/1045", "Add: -4182 + (-2527) = -6709", "Subtract: 5186844/1045 - (-6709) = 12197749/1045"], "final_answer": "12197749/1045", "answer_type": "rational", "kind": "expression", "math_text": "1581 / (-1045) - (-4965) - (-4182 + (-2527))", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 1581, \"b\": -1045, \"c\": -4965, \"d\": -4182, \"e\": -2527}", "seed": "2191941296890233394", "semantic_fingerprint": "sha256:3a9ac424810fc0639619f438f7334e90a25390846c647a8534209cab87951937", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006531", "prompt": "Compute: -4736 * (-3789 / (-40451))", "solution_steps": ["Divide: -3789 / (-40451) = 3789/40451", "Multiply: -4736 * (3789/40451) = -17944704/40451"], "final_answer": "-17944704/40451", "answer_type": "rational", "kind": "expression", "math_text": "-4736 * (-3789 / (-40451))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4736, \"b\": -3789, \"c\": -40451}", "seed": "5883914830782442916", "semantic_fingerprint": "sha256:7af4b29215f236beffb0a383611f9551dee59a85004a02a2144e94f7b0e28ae9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006532", "prompt": "Compute: -67601 / (-1364 / (-53166 - (-97786)))", "solution_steps": ["Subtract: -53166 - (-97786) = 44620", "Divide: -1364 / 44620 = -341/11155", "Divide: -67601 / (-341/11155) = 754089155/341"], "final_answer": "754089155/341", "answer_type": "rational", "kind": "expression", "math_text": "-67601 / (-1364 / (-53166 - (-97786)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -67601, \"b\": -1364, \"c\": -53166, \"d\": -97786}", "seed": "15461508413133842061", "semantic_fingerprint": "sha256:c0e0eaf4263eb7c4faf51f71ae5677edbd7d0c80a9062b76e07cb527edd356fe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006533", "prompt": "What value of x satisfies 20x - 3796 = 28x + 81572?", "solution_steps": ["Subtract 28x from both sides: -8x - 3796 = 81572", "Add 3796 to both sides: -8x = 85368", "Divide both sides by -8: x = -10671"], "final_answer": "-10671", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x - 3796 = 28x + 81572", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 3796, \"c\": 28, \"d\": 81572}", "seed": "14013706130757526504", "semantic_fingerprint": "sha256:ca6a393affd82ccc5c10456c0586e75472a03c5c42444885728770e81d459271", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006534", "prompt": "Calculate: 39392 * 81861 - (92979 - 67091 * (-5465))", "solution_steps": ["Multiply: 39392 * 81861 = 3224668512", "Multiply: 67091 * (-5465) = -366652315", "Subtract: 92979 - (-366652315) = 366745294", "Subtract: 3224668512 - 366745294 = 2857923218"], "final_answer": "2857923218", "answer_type": "integer", "kind": "expression", "math_text": "39392 * 81861 - (92979 - 67091 * (-5465))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 39392, \"b\": 81861, \"c\": 92979, \"d\": 67091, \"e\": -5465}", "seed": "17600125216972234519", "semantic_fingerprint": "sha256:98fdfdcb94d2e28eb7da4bd3b05a17d7cbbbf44cc2bf7fe10974e88ccc70bac1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006535", "prompt": "What is -3903 + (-12821 - 2630)?", "solution_steps": ["Subtract: -12821 - 2630 = -15451", "Add: -3903 + (-15451) = -19354"], "final_answer": "-19354", "answer_type": "integer", "kind": "expression", "math_text": "-3903 + (-12821 - 2630)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3903, \"b\": -12821, \"c\": 2630}", "seed": "14409585459502064418", "semantic_fingerprint": "sha256:e8ea964f8794fcc24b7b9b6d5b9ad72677ca6944c887bc4337acce09354a89f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006536", "prompt": "Calculate: -6817 / 9278 - (-7258 - (-9944 - 9430))", "solution_steps": ["Divide: -6817 / 9278 = -6817/9278", "Subtract: -9944 - 9430 = -19374", "Subtract: -7258 - (-19374) = 12116", "Subtract: -6817/9278 - 12116 = -112419065/9278"], "final_answer": "-112419065/9278", "answer_type": "rational", "kind": "expression", "math_text": "-6817 / 9278 - (-7258 - (-9944 - 9430))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6817, \"b\": 9278, \"c\": -7258, \"d\": -9944, \"e\": 9430}", "seed": "6698107891140956642", "semantic_fingerprint": "sha256:a12e1e531dc05fc987c1f25a3394f9bb3ea5b4682fe6a35aef72b8ab267aa97e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006537", "prompt": "Solve for x: -19(x - 5555) = -21x", "solution_steps": ["Expand: -19x + 105545 = -21x", "Add 21x to both sides: 2x + 105545 = 0", "Subtract 105545 from both sides: 2x = -105545", "Divide both sides by 2: x = -105545/2"], "final_answer": "-105545/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x - 5555) = -21x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 5555, \"c\": -21}", "seed": "17592013396274220730", "semantic_fingerprint": "sha256:227c6b9b27f1568261e89981383407b16f27e201fee10f7be93ca19500169e9f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006538", "prompt": "What value of x satisfies 20x = -21(x - 1804)?", "solution_steps": ["Expand: 20x = -21x + 37884", "Add 21x to both sides: 41x = 37884", "Divide both sides by 41: x = 924"], "final_answer": "924", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = -21(x - 1804)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": -21, \"c\": 1804}", "seed": "16706724099232184606", "semantic_fingerprint": "sha256:6328d9c039ef29123b25b9b42d4a0f0bfaf677fcbbedf606179d547dc29543aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006539", "prompt": "Find x: 40x = 39(x - 67517) - 1428", "solution_steps": ["Expand: 40x = 39x - 2633163 - 1428", "Combine constants: 40x = 39x - 2634591", "Subtract 39x from both sides: x = -2634591"], "final_answer": "-2634591", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x = 39(x - 67517) - 1428", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 39, \"c\": 67517, \"d\": 1428}", "seed": "16872728833251880303", "semantic_fingerprint": "sha256:3d1ad8b75cfdaf4cf2a6d5b7d47e56accac753f22787b5481484b2472c6f37cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006540", "prompt": "Compute: 99475 / (57395 - (-8866))", "solution_steps": ["Subtract: 57395 - (-8866) = 66261", "Divide: 99475 / 66261 = 99475/66261"], "final_answer": "99475/66261", "answer_type": "rational", "kind": "expression", "math_text": "99475 / (57395 - (-8866))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 99475, \"b\": 57395, \"c\": -8866}", "seed": "14983748944070440021", "semantic_fingerprint": "sha256:1eba69a7cb234ced3548f638f947875b9522498672888a56e24ac4746ff2f985", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006541", "prompt": "Find x: x - 85910 = 14(x + 6529) + 83632", "solution_steps": ["Expand: x - 85910 = 14x + 91406 + 83632", "Combine constants: x - 85910 = 14x + 175038", "Subtract 14x from both sides: -13x - 85910 = 175038", "Add 85910 to both sides: -13x = 260948", "Divide both sides by -13: x = -260948/13"], "final_answer": "-260948/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 85910 = 14(x + 6529) + 83632", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 85910, \"b\": 14, \"c\": 6529, \"d\": 83632}", "seed": "5904289818467485167", "semantic_fingerprint": "sha256:8d146ccfe68b4ff73a78486da5a40715d3b0f3600ac464d9fae68cd6be091df7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006542", "prompt": "What is (9109 + 99492) / 30869?", "solution_steps": ["Add: 9109 + 99492 = 108601", "Divide: 108601 / 30869 = 108601/30869"], "final_answer": "108601/30869", "answer_type": "rational", "kind": "expression", "math_text": "(9109 + 99492) / 30869", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9109, \"b\": 99492, \"c\": 30869}", "seed": "14520847328645509874", "semantic_fingerprint": "sha256:70c76232d827d8c2bb92b85003aa5120304999108864fe30684e2ff611051745", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006543", "prompt": "Solve the equation -25(x - 1722) + 2696 = x for x.", "solution_steps": ["Expand: -25x + 43050 + 2696 = x", "Combine constants: -25x + 45746 = x", "Subtract x from both sides: -26x + 45746 = 0", "Subtract 45746 from both sides: -26x = -45746", "Divide both sides by -26: x = 22873/13"], "final_answer": "22873/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 1722) + 2696 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 1722, \"c\": 2696}", "seed": "6858344271840216057", "semantic_fingerprint": "sha256:90d8468dea016ff9371d85f9dda6b64870e24dea7a8e686db693e8916961dfe6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006544", "prompt": "Find x: 25x + 1320 = 4822", "solution_steps": ["Subtract 1320 from both sides: 25x = 3502", "Divide both sides by 25: x = 3502/25"], "final_answer": "3502/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "25x + 1320 = 4822", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 1320, \"c\": 4822}", "seed": "8544799028857383290", "semantic_fingerprint": "sha256:6a9d0aed68dfb5f16d00ded5aef5b316796b9dd0f5170c118413f13beaf9db02", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006545", "prompt": "What is 70546 - ((-97874 + (-7778)) * 8866 + 3505)?", "solution_steps": ["Add: -97874 + (-7778) = -105652", "Multiply: -105652 * 8866 = -936710632", "Add: -936710632 + 3505 = -936707127", "Subtract: 70546 - (-936707127) = 936777673"], "final_answer": "936777673", "answer_type": "integer", "kind": "expression", "math_text": "70546 - ((-97874 + (-7778)) * 8866 + 3505)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* (+ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 70546, \"b\": -97874, \"c\": -7778, \"d\": 8866, \"e\": 3505}", "seed": "4757196674622337507", "semantic_fingerprint": "sha256:88d4b23aa84e452d972748f5160b93357d6a1717a0d9a964634bca8a4997dd73", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006546", "prompt": "What value of x satisfies -18(x - 5502) + 8761 = 22(x - 9476) - 41715?", "solution_steps": ["Expand: -18x + 99036 + 8761 = 22(x - 9476) - 41715", "Expand: -18x + 99036 + 8761 = 22x - 208472 - 41715", "Combine constants: -18x + 107797 = 22x - 208472 - 41715", "Combine constants: -18x + 107797 = 22x - 250187", "Subtract 22x from both sides: -40x + 107797 = -250187", "Subtract 107797 from both sides: -40x = -357984", "Divide both sides by -40: x = 44748/5"], "final_answer": "44748/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-18(x - 5502) + 8761 = 22(x - 9476) - 41715", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 5502, \"c\": 8761, \"d\": 22, \"e\": 9476, \"f\": 41715}", "seed": "4901347640193337909", "semantic_fingerprint": "sha256:44d455ace459d9f6cd917d5037f330eb1469a2799590f4fcc59f9266c08adc81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006547", "prompt": "Compute: -97436 * (-3187) + 2532", "solution_steps": ["Multiply: -97436 * (-3187) = 310528532", "Add: 310528532 + 2532 = 310531064"], "final_answer": "310531064", "answer_type": "integer", "kind": "expression", "math_text": "-97436 * (-3187) + 2532", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -97436, \"b\": -3187, \"c\": 2532}", "seed": "492791664992703149", "semantic_fingerprint": "sha256:c90225e46792b304899061ea1120b70e29aa5807f765c418bf17e2463468afd4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006548", "prompt": "What value of x satisfies -40x - 6465 = -8865?", "solution_steps": ["Add 6465 to both sides: -40x = -2400", "Divide both sides by -40: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "-40x - 6465 = -8865", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 6465, \"d\": -8865, \"x\": 60}", "seed": "5702846107876424064", "semantic_fingerprint": "sha256:9a2164ab3024dfae446f4c67dad0de7372d99a6d77056e0cdd68f1b1468a116f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006549", "prompt": "Solve for x: x = -15x", "solution_steps": ["Add 15x to both sides: 16x = 0", "Divide both sides by 16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -15x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15}", "seed": "7406060279630051928", "semantic_fingerprint": "sha256:997287a150fd383243e827c5ce12322a7e6898286134c4586aab777ddcb11f58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006550", "prompt": "What is -2381 + (-4179) - 8665?", "solution_steps": ["Add: -2381 + (-4179) = -6560", "Subtract: -6560 - 8665 = -15225"], "final_answer": "-15225", "answer_type": "integer", "kind": "expression", "math_text": "-2381 + (-4179) - 8665", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2381, \"b\": -4179, \"c\": 8665}", "seed": "1153651905341594668", "semantic_fingerprint": "sha256:f2d7dd25797e7b3639a93236dcfa62ceed3aa69b21172edce0b70121257f7150", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006551", "prompt": "Solve the equation -19(x + 83078) + 4912 = x - 9829 for x.", "solution_steps": ["Expand: -19x - 1578482 + 4912 = x - 9829", "Combine constants: -19x - 1573570 = x - 9829", "Subtract x from both sides: -20x - 1573570 = -9829", "Add 1573570 to both sides: -20x = 1563741", "Divide both sides by -20: x = -1563741/20"], "final_answer": "-1563741/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19(x + 83078) + 4912 = x - 9829", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 83078, \"c\": 4912, \"d\": 9829}", "seed": "4123109755368962223", "semantic_fingerprint": "sha256:8b1baf323547fa9a80a08f8d86822506bd85898925d56b85cd0a841e3ec80169", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006552", "prompt": "Compute: 31753 * (-8852 - (-90596))", "solution_steps": ["Subtract: -8852 - (-90596) = 81744", "Multiply: 31753 * 81744 = 2595617232"], "final_answer": "2595617232", "answer_type": "integer", "kind": "expression", "math_text": "31753 * (-8852 - (-90596))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31753, \"b\": -8852, \"c\": -90596}", "seed": "15204983910931193563", "semantic_fingerprint": "sha256:93c9e5b79c5dc8285d06edc17d37f184398c8a4a5f4704b4fd6bae7d23a2f628", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006553", "prompt": "Find x: 39x = x - 3129", "solution_steps": ["Subtract x from both sides: 38x = -3129", "Divide both sides by 38: x = -3129/38"], "final_answer": "-3129/38", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x = x - 3129", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 3129}", "seed": "1021859888953414277", "semantic_fingerprint": "sha256:385fbe8dee6941e283132e9988f4a20ed3f0062d4e1ea437d3c2e5321251ccdb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006554", "prompt": "What is -88139 * (63079 - (-8371))?", "solution_steps": ["Subtract: 63079 - (-8371) = 71450", "Multiply: -88139 * 71450 = -6297531550"], "final_answer": "-6297531550", "answer_type": "integer", "kind": "expression", "math_text": "-88139 * (63079 - (-8371))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -88139, \"b\": 63079, \"c\": -8371}", "seed": "17585140559173131969", "semantic_fingerprint": "sha256:36924ce6dfe6d0191d8856fc6fb51b42ed5f5e9bc9d14b7405c69af6b5da2fea", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006555", "prompt": "Solve the equation 14(x + 6110) - 84825 = x for x.", "solution_steps": ["Expand: 14x + 85540 - 84825 = x", "Combine constants: 14x + 715 = x", "Subtract x from both sides: 13x + 715 = 0", "Subtract 715 from both sides: 13x = -715", "Divide both sides by 13: x = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x + 6110) - 84825 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6110, \"d\": -84825, \"x\": -55}", "seed": "15297990068824600370", "semantic_fingerprint": "sha256:4710109b9fdbfcbfa23c348264b5e9a24cd1751bdd9a09a8c0321d65d2990d7e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006556", "prompt": "Solve the equation x - 5576 = 30(x + 40143) + 2292 for x.", "solution_steps": ["Expand: x - 5576 = 30x + 1204290 + 2292", "Combine constants: x - 5576 = 30x + 1206582", "Subtract 30x from both sides: -29x - 5576 = 1206582", "Add 5576 to both sides: -29x = 1212158", "Divide both sides by -29: x = -1212158/29"], "final_answer": "-1212158/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5576 = 30(x + 40143) + 2292", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5576, \"b\": 30, \"c\": 40143, \"d\": 2292}", "seed": "12359896504054470829", "semantic_fingerprint": "sha256:43b33f610ae50b48151a28435f4db4a6517a36c9efc5cd1562680dbfeb24dec0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006557", "prompt": "What value of x satisfies 29x - 3982 = x - 7650?", "solution_steps": ["Subtract x from both sides: 28x - 3982 = -7650", "Add 3982 to both sides: 28x = -3668", "Divide both sides by 28: x = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x - 3982 = x - 7650", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 3982, \"d\": -7650, \"x\": -131}", "seed": "13694252385166647388", "semantic_fingerprint": "sha256:f5e4923ef2cfb1c01d94a381598cc029f07c71c34b110bf932aac010e6426c6a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006558", "prompt": "Calculate: -4312 - 4828 / (1636 - 6301)", "solution_steps": ["Subtract: 1636 - 6301 = -4665", "Divide: 4828 / (-4665) = -4828/4665", "Subtract: -4312 - (-4828/4665) = -20110652/4665"], "final_answer": "-20110652/4665", "answer_type": "rational", "kind": "expression", "math_text": "-4312 - 4828 / (1636 - 6301)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4312, \"b\": 4828, \"c\": 1636, \"d\": 6301}", "seed": "4305436105448805635", "semantic_fingerprint": "sha256:845f41525ff9cad1bc6e0cdb3203f28711a547457ca3e2c1729a538fb70a16fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006559", "prompt": "Compute: (-58260 - (-4081)) / (-59653 * 2587 / (-4158))", "solution_steps": ["Subtract: -58260 - (-4081) = -54179", "Multiply: -59653 * 2587 = -154322311", "Divide: -154322311 / (-4158) = 14029301/378", "Divide: -54179 / (14029301/378) = -1204686/825253"], "final_answer": "-1204686/825253", "answer_type": "rational", "kind": "expression", "math_text": "(-58260 - (-4081)) / (-59653 * 2587 / (-4158))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -58260, \"b\": -4081, \"c\": -59653, \"d\": 2587, \"e\": -4158}", "seed": "14807489866940880392", "semantic_fingerprint": "sha256:3534ab35bd21222471703a3bfab3355024b99780cd0b33899a142f600d0dbfec", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006560", "prompt": "What is -7116 - 5032?", "solution_steps": ["Subtract: -7116 - 5032 = -12148"], "final_answer": "-12148", "answer_type": "integer", "kind": "expression", "math_text": "-7116 - 5032", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7116, \"b\": 5032}", "seed": "3962009667929666856", "semantic_fingerprint": "sha256:87154c4fd47cba57d3f167d10871a61c80a61d994a3557cce5259d31565215b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006561", "prompt": "Compute: 89801 * 1574", "solution_steps": ["Multiply: 89801 * 1574 = 141346774"], "final_answer": "141346774", "answer_type": "integer", "kind": "expression", "math_text": "89801 * 1574", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 89801, \"b\": 1574}", "seed": "17044239892037459775", "semantic_fingerprint": "sha256:0bb2de52dec375aa2d65dafc26c477c69858f47cb818303ad05f491bb696044b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006562", "prompt": "Solve for x: x - 6062 = -6012", "solution_steps": ["Add 6062 to both sides: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6062 = -6012", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6062, \"c\": -6012, \"x\": 50}", "seed": "10789172801553746487", "semantic_fingerprint": "sha256:50273a2fa033574ab431d4a8445dbd443bf3aacf0240575c6826164d2fd4ab77", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006563", "prompt": "Solve the equation -32(x + 4378) + 71431 = -14(x - 32329) - 2162 for x.", "solution_steps": ["Expand: -32x - 140096 + 71431 = -14(x - 32329) - 2162", "Expand: -32x - 140096 + 71431 = -14x + 452606 - 2162", "Combine constants: -32x - 68665 = -14x + 452606 - 2162", "Combine constants: -32x - 68665 = -14x + 450444", "Add 14x to both sides: -18x - 68665 = 450444", "Add 68665 to both sides: -18x = 519109", "Divide both sides by -18: x = -519109/18"], "final_answer": "-519109/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-32(x + 4378) + 71431 = -14(x - 32329) - 2162", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 4378, \"c\": 71431, \"d\": -14, \"e\": 32329, \"f\": 2162}", "seed": "17729902820964168544", "semantic_fingerprint": "sha256:591ad5786803c72e62e0117c36aa252327d6b87c7dec10389c14afd4cd8dbd66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006564", "prompt": "Evaluate: (8681 + 1992) * ((-7096 - 18300) / 17935)", "solution_steps": ["Add: 8681 + 1992 = 10673", "Subtract: -7096 - 18300 = -25396", "Divide: -25396 / 17935 = -25396/17935", "Multiply: 10673 * (-25396/17935) = -271051508/17935"], "final_answer": "-271051508/17935", "answer_type": "rational", "kind": "expression", "math_text": "(8681 + 1992) * ((-7096 - 18300) / 17935)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8681, \"b\": 1992, \"c\": -7096, \"d\": 18300, \"e\": 17935}", "seed": "5144771249116065337", "semantic_fingerprint": "sha256:d570c4d39c95b25ba5903853cccb7e24897e61d3748c4cfb183ea637ad6f650b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006565", "prompt": "Evaluate: -82893 * (-70823 - 6255 - (-6423))", "solution_steps": ["Subtract: -70823 - 6255 = -77078", "Subtract: -77078 - (-6423) = -70655", "Multiply: -82893 * (-70655) = 5856804915"], "final_answer": "5856804915", "answer_type": "integer", "kind": "expression", "math_text": "-82893 * (-70823 - 6255 - (-6423))", "variable": null, "family": "expression_3op", "shape": "(* n (- (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -82893, \"b\": -70823, \"c\": 6255, \"d\": -6423}", "seed": "13771447708658663060", "semantic_fingerprint": "sha256:82fdd0a7a0b5a46cc1b19ceae887f6eb5f891c4d89a65407aad0a207b4a159ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006566", "prompt": "What is 21483 + (-5458)?", "solution_steps": ["Add: 21483 + (-5458) = 16025"], "final_answer": "16025", "answer_type": "integer", "kind": "expression", "math_text": "21483 + (-5458)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 21483, \"b\": -5458}", "seed": "7282768302776712551", "semantic_fingerprint": "sha256:14bdbdfbb10db28d5f03092dd0b9ce1dc044a3c330e91c3692cf968549a905ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006567", "prompt": "Evaluate: 8805 - 3444", "solution_steps": ["Subtract: 8805 - 3444 = 5361"], "final_answer": "5361", "answer_type": "integer", "kind": "expression", "math_text": "8805 - 3444", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8805, \"b\": 3444}", "seed": "4581712276457233596", "semantic_fingerprint": "sha256:d8b1e1546d77a485962bd527622d031f404430894b9b6cb096cbab7c62c61d1f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006568", "prompt": "Calculate: -4773 + (-3983 - 27506)", "solution_steps": ["Subtract: -3983 - 27506 = -31489", "Add: -4773 + (-31489) = -36262"], "final_answer": "-36262", "answer_type": "integer", "kind": "expression", "math_text": "-4773 + (-3983 - 27506)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4773, \"b\": -3983, \"c\": 27506}", "seed": "4732676317785182296", "semantic_fingerprint": "sha256:02270468dc2b26a455e7acecee972f8d62c3afedcba4eccdca90802bc07eb993", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006569", "prompt": "Evaluate: 7173 / (-87001) - (3574 + 2269)", "solution_steps": ["Divide: 7173 / (-87001) = -7173/87001", "Add: 3574 + 2269 = 5843", "Subtract: -7173/87001 - 5843 = -508354016/87001"], "final_answer": "-508354016/87001", "answer_type": "rational", "kind": "expression", "math_text": "7173 / (-87001) - (3574 + 2269)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7173, \"b\": -87001, \"c\": 3574, \"d\": 2269}", "seed": "12265618074456296640", "semantic_fingerprint": "sha256:d84fe34a98dd0ce829a49bcd22876b9d83692f57856ed14fa54b169809680ea1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006570", "prompt": "Evaluate: -5170 * (9220 / (-95088 / (-8407)))", "solution_steps": ["Divide: -95088 / (-8407) = 13584/1201", "Divide: 9220 / (13584/1201) = 2768305/3396", "Multiply: -5170 * (2768305/3396) = -7156068425/1698"], "final_answer": "-7156068425/1698", "answer_type": "rational", "kind": "expression", "math_text": "-5170 * (9220 / (-95088 / (-8407)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5170, \"b\": 9220, \"c\": -95088, \"d\": -8407}", "seed": "6736825936881124233", "semantic_fingerprint": "sha256:a9965753c1e1e87aa4eaf7a025d6dc7dc8d6cc1c2526be4bcf43d0e457b41fe3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006571", "prompt": "Calculate: (6441 + 70885 / (-30160)) * 4088 + (-1018) * 8080", "solution_steps": ["Divide: 70885 / (-30160) = -14177/6032", "Add: 6441 + (-14177/6032) = 38837935/6032", "Multiply: (38837935/6032) * 4088 = 19846184785/754", "Multiply: -1018 * 8080 = -8225440", "Add: 19846184785/754 + (-8225440) = 13644203025/754"], "final_answer": "13644203025/754", "answer_type": "rational", "kind": "expression", "math_text": "(6441 + 70885 / (-30160)) * 4088 + (-1018) * 8080", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n (/ n n)) n) (* n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 6441, \"b\": 70885, \"c\": -30160, \"d\": 4088, \"e\": -1018, \"f\": 8080}", "seed": "9025652036828758935", "semantic_fingerprint": "sha256:e7bca32067b87f8736f6131cd6656e3cae2d15166359bf24a71f88de74858963", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006572", "prompt": "Evaluate: 4232 - (-2774 - (-1420))", "solution_steps": ["Subtract: -2774 - (-1420) = -1354", "Subtract: 4232 - (-1354) = 5586"], "final_answer": "5586", "answer_type": "integer", "kind": "expression", "math_text": "4232 - (-2774 - (-1420))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4232, \"b\": -2774, \"c\": -1420}", "seed": "1459970187375587220", "semantic_fingerprint": "sha256:899de2cadee163157b9fdae53267d746926fff4435202e054cd17480953ebe4a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006573", "prompt": "What is -15940 + (-8168 - (-3209))?", "solution_steps": ["Subtract: -8168 - (-3209) = -4959", "Add: -15940 + (-4959) = -20899"], "final_answer": "-20899", "answer_type": "integer", "kind": "expression", "math_text": "-15940 + (-8168 - (-3209))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -15940, \"b\": -8168, \"c\": -3209}", "seed": "6675343761886021574", "semantic_fingerprint": "sha256:32eca6e64221d78a02f96dd43c6ff7442117bac725081e569aec8236ac6f4420", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006574", "prompt": "What is (-7767 - 34000) / (-7034)?", "solution_steps": ["Subtract: -7767 - 34000 = -41767", "Divide: -41767 / (-7034) = 41767/7034"], "final_answer": "41767/7034", "answer_type": "rational", "kind": "expression", "math_text": "(-7767 - 34000) / (-7034)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7767, \"b\": 34000, \"c\": -7034}", "seed": "791284910454385531", "semantic_fingerprint": "sha256:5dc968b355596300c7d9e041049279ff35e3d48f9738644a5b2bc487432d8efc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006575", "prompt": "What is 64462 / 9458 + (-8618)?", "solution_steps": ["Divide: 64462 / 9458 = 32231/4729", "Add: 32231/4729 + (-8618) = -40722291/4729"], "final_answer": "-40722291/4729", "answer_type": "rational", "kind": "expression", "math_text": "64462 / 9458 + (-8618)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 64462, \"b\": 9458, \"c\": -8618}", "seed": "15200104189748520315", "semantic_fingerprint": "sha256:1a42c3d72ad2ce2c5e4e7c65bca37b9ac20291bc3fb40ceb35845b553925bd63", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006576", "prompt": "What is (4123 + 6486 + (-44248)) * (4716 - 66650 - 4463)?", "solution_steps": ["Add: 4123 + 6486 = 10609", "Add: 10609 + (-44248) = -33639", "Subtract: 4716 - 66650 = -61934", "Subtract: -61934 - 4463 = -66397", "Multiply: -33639 * (-66397) = 2233528683"], "final_answer": "2233528683", "answer_type": "integer", "kind": "expression", "math_text": "(4123 + 6486 + (-44248)) * (4716 - 66650 - 4463)", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 4123, \"b\": 6486, \"c\": -44248, \"d\": 4716, \"e\": 66650, \"f\": 4463}", "seed": "12889239171022016839", "semantic_fingerprint": "sha256:75b01441e6554b6b5e73d16a183c03fce8d6ef9ca7e5b47b220efeb758a5020d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006577", "prompt": "Evaluate: -3299 / 6907 * (-6225)", "solution_steps": ["Divide: -3299 / 6907 = -3299/6907", "Multiply: (-3299/6907) * (-6225) = 20536275/6907"], "final_answer": "20536275/6907", "answer_type": "rational", "kind": "expression", "math_text": "-3299 / 6907 * (-6225)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3299, \"b\": 6907, \"c\": -6225}", "seed": "8217777175232190649", "semantic_fingerprint": "sha256:d4d51287c94aca4a9a5fc76732637de7d5abc61a89b369680b4e3122f3af54da", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006578", "prompt": "Calculate: 52536 / (-62151 - (-63593))", "solution_steps": ["Subtract: -62151 - (-63593) = 1442", "Divide: 52536 / 1442 = 26268/721"], "final_answer": "26268/721", "answer_type": "rational", "kind": "expression", "math_text": "52536 / (-62151 - (-63593))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 52536, \"b\": -62151, \"c\": -63593}", "seed": "11490475536340536323", "semantic_fingerprint": "sha256:c6d1c640015d461a09b952136819a17198a0e69471718bc94cd94e71bd524ef7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006579", "prompt": "Compute: 7121 * (-93120) - (-22012)", "solution_steps": ["Multiply: 7121 * (-93120) = -663107520", "Subtract: -663107520 - (-22012) = -663085508"], "final_answer": "-663085508", "answer_type": "integer", "kind": "expression", "math_text": "7121 * (-93120) - (-22012)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7121, \"b\": -93120, \"c\": -22012}", "seed": "17155498726701543758", "semantic_fingerprint": "sha256:dabefd952c4ea973f1d8da5136eedb0d385ac016b1f57981bfb502412ebd025e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006580", "prompt": "Evaluate: 26199 / (-4827 + (-18447) + 6078)", "solution_steps": ["Add: -4827 + (-18447) = -23274", "Add: -23274 + 6078 = -17196", "Divide: 26199 / (-17196) = -8733/5732"], "final_answer": "-8733/5732", "answer_type": "rational", "kind": "expression", "math_text": "26199 / (-4827 + (-18447) + 6078)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26199, \"b\": -4827, \"c\": -18447, \"d\": 6078}", "seed": "1999176672475270450", "semantic_fingerprint": "sha256:d7ea6bf977bc5a94c2d6c0b9377836dfb1a555e12f7eedfa2d1a5c31afa98161", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006581", "prompt": "Solve the equation x + 96580 = 19(x + 5131) - 3789 for x.", "solution_steps": ["Expand: x + 96580 = 19x + 97489 - 3789", "Combine constants: x + 96580 = 19x + 93700", "Subtract 19x from both sides: -18x + 96580 = 93700", "Subtract 96580 from both sides: -18x = -2880", "Divide both sides by -18: x = 160"], "final_answer": "160", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 96580 = 19(x + 5131) - 3789", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 96580, \"b\": 19, \"c\": 5131, \"e\": -3789, \"x\": 160}", "seed": "4186073950640354287", "semantic_fingerprint": "sha256:59fc7399d3619d3beab8845c8d2a1f9e2e5071957ad85367d3659b9e4cee5bd7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006582", "prompt": "What is -1268 + 4294 - 7906 * (-5594)?", "solution_steps": ["Add: -1268 + 4294 = 3026", "Multiply: 7906 * (-5594) = -44226164", "Subtract: 3026 - (-44226164) = 44229190"], "final_answer": "44229190", "answer_type": "integer", "kind": "expression", "math_text": "-1268 + 4294 - 7906 * (-5594)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1268, \"b\": 4294, \"c\": 7906, \"d\": -5594}", "seed": "11423018886476724097", "semantic_fingerprint": "sha256:4d2d5c111d113dfc5451d2187eb4b56511ad71d0bc6cf3e587ac48cdcdd8d1b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006583", "prompt": "Calculate: (47580 - (-6712)) / (-3235)", "solution_steps": ["Subtract: 47580 - (-6712) = 54292", "Divide: 54292 / (-3235) = -54292/3235"], "final_answer": "-54292/3235", "answer_type": "rational", "kind": "expression", "math_text": "(47580 - (-6712)) / (-3235)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 47580, \"b\": -6712, \"c\": -3235}", "seed": "3195994530899353295", "semantic_fingerprint": "sha256:80c3697a133169ad84a03623470e929ee8990a7f6a13a14d52ec461550dccf56", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006584", "prompt": "Calculate: -1545 * 9612 * (8945 + (-4898))", "solution_steps": ["Multiply: -1545 * 9612 = -14850540", "Add: 8945 + (-4898) = 4047", "Multiply: -14850540 * 4047 = -60100135380"], "final_answer": "-60100135380", "answer_type": "integer", "kind": "expression", "math_text": "-1545 * 9612 * (8945 + (-4898))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1545, \"b\": 9612, \"c\": 8945, \"d\": -4898}", "seed": "12741395545786936785", "semantic_fingerprint": "sha256:9760ce50aeb7a4897f1234f5d889aefe68590a7500425f3644b8768914161c6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006585", "prompt": "Evaluate: 1370 / (-3131)", "solution_steps": ["Divide: 1370 / (-3131) = -1370/3131"], "final_answer": "-1370/3131", "answer_type": "rational", "kind": "expression", "math_text": "1370 / (-3131)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1370, \"b\": -3131}", "seed": "17461401207238223744", "semantic_fingerprint": "sha256:22dcb3b0f8cadbaef6f00af7f5f698d72fa5d81f9243971432a50c74b09f401c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006586", "prompt": "Evaluate: 1086 / (-2606 - 15673)", "solution_steps": ["Subtract: -2606 - 15673 = -18279", "Divide: 1086 / (-18279) = -362/6093"], "final_answer": "-362/6093", "answer_type": "rational", "kind": "expression", "math_text": "1086 / (-2606 - 15673)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1086, \"b\": -2606, \"c\": 15673}", "seed": "12202606364248568558", "semantic_fingerprint": "sha256:8acfc60d94baf197bf2d6a1e97129c14e16afe43bf07e5ac81218a0444553459", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006587", "prompt": "Solve the equation -19x + 87222 = -37(x - 4975) + 48023 for x.", "solution_steps": ["Expand: -19x + 87222 = -37x + 184075 + 48023", "Combine constants: -19x + 87222 = -37x + 232098", "Add 37x to both sides: 18x + 87222 = 232098", "Subtract 87222 from both sides: 18x = 144876", "Divide both sides by 18: x = 24146/3"], "final_answer": "24146/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-19x + 87222 = -37(x - 4975) + 48023", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 87222, \"c\": -37, \"d\": 4975, \"e\": 48023}", "seed": "18201451221416001457", "semantic_fingerprint": "sha256:a8438693280f29d1fe1cd794efa65d5cd15b4201185f6a87e45adc75797699f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006588", "prompt": "What is -7129 / 91880 + (-7346)?", "solution_steps": ["Divide: -7129 / 91880 = -7129/91880", "Add: -7129/91880 + (-7346) = -674957609/91880"], "final_answer": "-674957609/91880", "answer_type": "rational", "kind": "expression", "math_text": "-7129 / 91880 + (-7346)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7129, \"b\": 91880, \"c\": -7346}", "seed": "18058481180839457117", "semantic_fingerprint": "sha256:ce907624f90e4241c109bfd42bc24bc12bc50f852a67dcdce1a97931cbc63535", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006589", "prompt": "What value of x satisfies -13(x - 17732) + 2587 = x?", "solution_steps": ["Expand: -13x + 230516 + 2587 = x", "Combine constants: -13x + 233103 = x", "Subtract x from both sides: -14x + 233103 = 0", "Subtract 233103 from both sides: -14x = -233103", "Divide both sides by -14: x = 233103/14"], "final_answer": "233103/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13(x - 17732) + 2587 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 17732, \"c\": 2587}", "seed": "7727127046094480740", "semantic_fingerprint": "sha256:ecc0019b8da97dc54adb5cec897d80797414a9c2f36e5b823cf1ad13d7c28a09", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006590", "prompt": "What is 26083 - 2301 + 35439?", "solution_steps": ["Subtract: 26083 - 2301 = 23782", "Add: 23782 + 35439 = 59221"], "final_answer": "59221", "answer_type": "integer", "kind": "expression", "math_text": "26083 - 2301 + 35439", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26083, \"b\": 2301, \"c\": 35439}", "seed": "8283391468049345108", "semantic_fingerprint": "sha256:de7fb1f5756b902674f14086c0d94c97f8501dd40706fbdc5ebb36a4154698a5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006591", "prompt": "Compute: 5344 - (-9717 + (-44615))", "solution_steps": ["Add: -9717 + (-44615) = -54332", "Subtract: 5344 - (-54332) = 59676"], "final_answer": "59676", "answer_type": "integer", "kind": "expression", "math_text": "5344 - (-9717 + (-44615))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5344, \"b\": -9717, \"c\": -44615}", "seed": "3676470789544178077", "semantic_fingerprint": "sha256:dafb394eca79e562a0d2689af8cc8892ea68c588942593c2dfe0dd91ccd9b983", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006592", "prompt": "What value of x satisfies 18(x + 1213) = x + 18791?", "solution_steps": ["Expand: 18x + 21834 = x + 18791", "Subtract x from both sides: 17x + 21834 = 18791", "Subtract 21834 from both sides: 17x = -3043", "Divide both sides by 17: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "18(x + 1213) = x + 18791", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 1213, \"d\": 18791, \"x\": -179}", "seed": "14020382836761405413", "semantic_fingerprint": "sha256:672fdd2a566ca8c833bdca861eecdb966aebf79049c712356cdb521b49bc1755", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006593", "prompt": "Find x: -15(x - 8922) + 33123 = 15(x + 2738) + 88581", "solution_steps": ["Expand: -15x + 133830 + 33123 = 15(x + 2738) + 88581", "Expand: -15x + 133830 + 33123 = 15x + 41070 + 88581", "Combine constants: -15x + 166953 = 15x + 41070 + 88581", "Combine constants: -15x + 166953 = 15x + 129651", "Subtract 15x from both sides: -30x + 166953 = 129651", "Subtract 166953 from both sides: -30x = -37302", "Divide both sides by -30: x = 6217/5"], "final_answer": "6217/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-15(x - 8922) + 33123 = 15(x + 2738) + 88581", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -15, \"b\": 8922, \"c\": 33123, \"d\": 15, \"e\": 2738, \"f\": 88581}", "seed": "15445593279601360205", "semantic_fingerprint": "sha256:fe08b61803cafb09734c35de8a1aade3a4d302befe585bc869921f01f2eb076c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006594", "prompt": "What value of x satisfies -13x - 60860 = 17(x - 18943) - 4907?", "solution_steps": ["Expand: -13x - 60860 = 17x - 322031 - 4907", "Combine constants: -13x - 60860 = 17x - 326938", "Subtract 17x from both sides: -30x - 60860 = -326938", "Add 60860 to both sides: -30x = -266078", "Divide both sides by -30: x = 133039/15"], "final_answer": "133039/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-13x - 60860 = 17(x - 18943) - 4907", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -13, \"b\": 60860, \"c\": 17, \"d\": 18943, \"e\": 4907}", "seed": "16400776116727459512", "semantic_fingerprint": "sha256:0d263272640d72053c69e0824758d73d0ebc901844fd42062894d2466413794c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006595", "prompt": "Calculate: 3985 - 11797", "solution_steps": ["Subtract: 3985 - 11797 = -7812"], "final_answer": "-7812", "answer_type": "integer", "kind": "expression", "math_text": "3985 - 11797", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3985, \"b\": 11797}", "seed": "4195903312451940116", "semantic_fingerprint": "sha256:1097a15b46fb60293641f3e39441d696f255b3c0c4b8fce3c74dec0b922cce0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006596", "prompt": "Compute: (7981 + 7948) / (-2377)", "solution_steps": ["Add: 7981 + 7948 = 15929", "Divide: 15929 / (-2377) = -15929/2377"], "final_answer": "-15929/2377", "answer_type": "rational", "kind": "expression", "math_text": "(7981 + 7948) / (-2377)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7981, \"b\": 7948, \"c\": -2377}", "seed": "9119767532739765073", "semantic_fingerprint": "sha256:93ef477cf1334b4ec5b3f3fb8086e1a39a2c4604d701ee5dc4d3279e9cf4c30b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006597", "prompt": "What is 1707 + (3228 - (-6888 - (-1532)) * (-48042) - (-68293))?", "solution_steps": ["Subtract: -6888 - (-1532) = -5356", "Multiply: -5356 * (-48042) = 257312952", "Subtract: 3228 - 257312952 = -257309724", "Subtract: -257309724 - (-68293) = -257241431", "Add: 1707 + (-257241431) = -257239724"], "final_answer": "-257239724", "answer_type": "integer", "kind": "expression", "math_text": "1707 + (3228 - (-6888 - (-1532)) * (-48042) - (-68293))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- n (* (- n n) n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1707, \"b\": 3228, \"c\": -6888, \"d\": -1532, \"e\": -48042, \"f\": -68293}", "seed": "16208201362501638677", "semantic_fingerprint": "sha256:514b06ad1df8bc5a7df55ac7eafeed7832eeee40930e1bac0f3e535124d7e666", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006598", "prompt": "Solve the equation -26(x - 5222) = 30x for x.", "solution_steps": ["Expand: -26x + 135772 = 30x", "Subtract 30x from both sides: -56x + 135772 = 0", "Subtract 135772 from both sides: -56x = -135772", "Divide both sides by -56: x = 4849/2"], "final_answer": "4849/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26(x - 5222) = 30x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 5222, \"c\": 30}", "seed": "4141545784528911169", "semantic_fingerprint": "sha256:5a69c1b349044f9a02684ac62afd783e01be87e82f1ab8f08853c1b952036fd1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006599", "prompt": "Compute: 2468 - (-5832) / 9947 + (90854 - (-7178))", "solution_steps": ["Divide: -5832 / 9947 = -5832/9947", "Subtract: 2468 - (-5832/9947) = 24555028/9947", "Subtract: 90854 - (-7178) = 98032", "Add: 24555028/9947 + 98032 = 999679332/9947"], "final_answer": "999679332/9947", "answer_type": "rational", "kind": "expression", "math_text": "2468 - (-5832) / 9947 + (90854 - (-7178))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2468, \"b\": -5832, \"c\": 9947, \"d\": 90854, \"e\": -7178}", "seed": "1415231330716271019", "semantic_fingerprint": "sha256:b0ae2b130aa8e9355c968f80f5a48edf8bebe40f53399149c5b0f9b687000ac7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006600", "prompt": "What is 6027 + (-3393 + (-9766))?", "solution_steps": ["Add: -3393 + (-9766) = -13159", "Add: 6027 + (-13159) = -7132"], "final_answer": "-7132", "answer_type": "integer", "kind": "expression", "math_text": "6027 + (-3393 + (-9766))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6027, \"b\": -3393, \"c\": -9766}", "seed": "15074144585619243370", "semantic_fingerprint": "sha256:9d065588c4aa5fd2a0642aa3b080641cbd8c28a3947b06e6e9ebd793fa06adfb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006601", "prompt": "Evaluate: (-5860 + (6619 - (-33973))) / 23580", "solution_steps": ["Subtract: 6619 - (-33973) = 40592", "Add: -5860 + 40592 = 34732", "Divide: 34732 / 23580 = 8683/5895"], "final_answer": "8683/5895", "answer_type": "rational", "kind": "expression", "math_text": "(-5860 + (6619 - (-33973))) / 23580", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5860, \"b\": 6619, \"c\": -33973, \"d\": 23580}", "seed": "2025922789115543050", "semantic_fingerprint": "sha256:3c03682bbc92c54b06448d594a09a6d44c7608de11166712fb403a750447e7ef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006602", "prompt": "Calculate: -20629 - (-9802) + 74379", "solution_steps": ["Subtract: -20629 - (-9802) = -10827", "Add: -10827 + 74379 = 63552"], "final_answer": "63552", "answer_type": "integer", "kind": "expression", "math_text": "-20629 - (-9802) + 74379", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -20629, \"b\": -9802, \"c\": 74379}", "seed": "10795651120298103787", "semantic_fingerprint": "sha256:8b64c75f46e6a592b0b3b2be0be68bd249dc67ce98f07efcffb72cee4ca86e79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006603", "prompt": "Evaluate: -19092 + 8452 + (-18984 - (-8106))", "solution_steps": ["Add: -19092 + 8452 = -10640", "Subtract: -18984 - (-8106) = -10878", "Add: -10640 + (-10878) = -21518"], "final_answer": "-21518", "answer_type": "integer", "kind": "expression", "math_text": "-19092 + 8452 + (-18984 - (-8106))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19092, \"b\": 8452, \"c\": -18984, \"d\": -8106}", "seed": "13592288147417304372", "semantic_fingerprint": "sha256:2d64416de8ee6ffa9440cb175368807ac4cc3d7f8348392dfa941be59bfb34de", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006604", "prompt": "What value of x satisfies 30(x - 4417) + 2856 = x?", "solution_steps": ["Expand: 30x - 132510 + 2856 = x", "Combine constants: 30x - 129654 = x", "Subtract x from both sides: 29x - 129654 = 0", "Add 129654 to both sides: 29x = 129654", "Divide both sides by 29: x = 129654/29"], "final_answer": "129654/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "30(x - 4417) + 2856 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 4417, \"c\": 2856}", "seed": "11944890523245736954", "semantic_fingerprint": "sha256:95f67038f0549fc4d144870fcdc2121481cefc2c2d62c20d158b795b8707a4a3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006605", "prompt": "Evaluate: 5753 * 9182", "solution_steps": ["Multiply: 5753 * 9182 = 52824046"], "final_answer": "52824046", "answer_type": "integer", "kind": "expression", "math_text": "5753 * 9182", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5753, \"b\": 9182}", "seed": "11980030161495256604", "semantic_fingerprint": "sha256:adcb83aed1de9b5beddfb2ae5488cf648f322a38e33158f82053e2e20e9957b0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006606", "prompt": "Compute: -1980 * 6935 * 43161", "solution_steps": ["Multiply: -1980 * 6935 = -13731300", "Multiply: -13731300 * 43161 = -592656639300"], "final_answer": "-592656639300", "answer_type": "integer", "kind": "expression", "math_text": "-1980 * 6935 * 43161", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1980, \"b\": 6935, \"c\": 43161}", "seed": "346963179201900076", "semantic_fingerprint": "sha256:e7ffd844d1c3d312476ef03362712d2fa95227361e9d41edd71a98846d93e399", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006607", "prompt": "What is 8060 - 39295 - 49538 / (-1194 * 1179)?", "solution_steps": ["Subtract: 8060 - 39295 = -31235", "Multiply: -1194 * 1179 = -1407726", "Divide: 49538 / (-1407726) = -24769/703863", "Subtract: -31235 - (-24769/703863) = -21985136036/703863"], "final_answer": "-21985136036/703863", "answer_type": "rational", "kind": "expression", "math_text": "8060 - 39295 - 49538 / (-1194 * 1179)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8060, \"b\": 39295, \"c\": 49538, \"d\": -1194, \"e\": 1179}", "seed": "16675879864142118209", "semantic_fingerprint": "sha256:949a921e962ed95010f60fb5de5349dee21def5a017749aba80030264cd88392", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006608", "prompt": "What value of x satisfies -34x = 36x - 4200?", "solution_steps": ["Subtract 36x from both sides: -70x = -4200", "Divide both sides by -70: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34x = 36x - 4200", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 36, \"d\": -4200, \"x\": 60}", "seed": "3789776768230157037", "semantic_fingerprint": "sha256:b970b16d1f52d799d5632b03f117836c28f01d5849f91b1724ca0912bed76c7c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006609", "prompt": "What value of x satisfies -26x + 49746 = x + 54795?", "solution_steps": ["Subtract x from both sides: -27x + 49746 = 54795", "Subtract 49746 from both sides: -27x = 5049", "Divide both sides by -27: x = -187"], "final_answer": "-187", "answer_type": "integer", "kind": "linear_equation", "math_text": "-26x + 49746 = x + 54795", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 49746, \"d\": 54795, \"x\": -187}", "seed": "1096110230164518048", "semantic_fingerprint": "sha256:f2a367ecbaae8e7947311a5eeee39b4f87ab9f8b56e7c3df2164b90619ca6e0e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006610", "prompt": "Solve for x: 40x - 3460 = 20x", "solution_steps": ["Subtract 20x from both sides: 20x - 3460 = 0", "Add 3460 to both sides: 20x = 3460", "Divide both sides by 20: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x - 3460 = 20x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 20, \"d\": -3460, \"x\": 173}", "seed": "12666342502432278265", "semantic_fingerprint": "sha256:feb124f9539d222b5bb3c56f9d2c13b6fe35bd7bc0feff7efd50e79127e54d95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006611", "prompt": "Evaluate: -91409 + (4777 - (-5396))", "solution_steps": ["Subtract: 4777 - (-5396) = 10173", "Add: -91409 + 10173 = -81236"], "final_answer": "-81236", "answer_type": "integer", "kind": "expression", "math_text": "-91409 + (4777 - (-5396))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -91409, \"b\": 4777, \"c\": -5396}", "seed": "14193645279723284204", "semantic_fingerprint": "sha256:4f476d01fc7e0fd66c014ec466c518b203ba27cd6932a5014726f17327e1d70c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006612", "prompt": "Find x: x + 2299 = -35(x + 11977) + 46947", "solution_steps": ["Expand: x + 2299 = -35x - 419195 + 46947", "Combine constants: x + 2299 = -35x - 372248", "Add 35x to both sides: 36x + 2299 = -372248", "Subtract 2299 from both sides: 36x = -374547", "Divide both sides by 36: x = -124849/12"], "final_answer": "-124849/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2299 = -35(x + 11977) + 46947", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2299, \"b\": -35, \"c\": 11977, \"d\": 46947}", "seed": "15327092586408889305", "semantic_fingerprint": "sha256:494083e7415d4141fa120f86fa5efd2c0d81fb2117e500ee4a93781e2d556bab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006613", "prompt": "Calculate: 7578 - (-8726)", "solution_steps": ["Subtract: 7578 - (-8726) = 16304"], "final_answer": "16304", "answer_type": "integer", "kind": "expression", "math_text": "7578 - (-8726)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 7578, \"b\": -8726}", "seed": "3788040549926569355", "semantic_fingerprint": "sha256:0f684b26a903aac1e9ec0761198343140f7a9dc37b890343a336a609cd38c9bc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006614", "prompt": "What is 9736 + (-9222 + (-7800)) + (-8575)?", "solution_steps": ["Add: -9222 + (-7800) = -17022", "Add: 9736 + (-17022) = -7286", "Add: -7286 + (-8575) = -15861"], "final_answer": "-15861", "answer_type": "integer", "kind": "expression", "math_text": "9736 + (-9222 + (-7800)) + (-8575)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9736, \"b\": -9222, \"c\": -7800, \"d\": -8575}", "seed": "13726410816339789423", "semantic_fingerprint": "sha256:c88ba307cb62a6bcb013dd9b1273c453d929900851bc632d1b926b96776c9e22", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006615", "prompt": "Solve the equation -29(x + 84751) + 7690 = 28(x + 42857) for x.", "solution_steps": ["Expand: -29x - 2457779 + 7690 = 28(x + 42857)", "Expand: -29x - 2457779 + 7690 = 28x + 1199996", "Combine constants: -29x - 2450089 = 28x + 1199996", "Subtract 28x from both sides: -57x - 2450089 = 1199996", "Add 2450089 to both sides: -57x = 3650085", "Divide both sides by -57: x = -1216695/19"], "final_answer": "-1216695/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x + 84751) + 7690 = 28(x + 42857)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 84751, \"c\": 7690, \"d\": 28, \"e\": 42857}", "seed": "2162106001066053272", "semantic_fingerprint": "sha256:3bb78271b0167e761223879fbc2292ed5d0f5a7ffe76e2d241d3e3458b06b4c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006616", "prompt": "What value of x satisfies 20x + 1152 = 38x?", "solution_steps": ["Subtract 38x from both sides: -18x + 1152 = 0", "Subtract 1152 from both sides: -18x = -1152", "Divide both sides by -18: x = 64"], "final_answer": "64", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 1152 = 38x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 38, \"d\": 1152, \"x\": 64}", "seed": "14472915505714419210", "semantic_fingerprint": "sha256:8308ed20a2e7270e2de27ed0bd36d8052a3a4013d21653f1712fb23c0693dcbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006617", "prompt": "Calculate: -6284 + (-5493 + 60935)", "solution_steps": ["Add: -5493 + 60935 = 55442", "Add: -6284 + 55442 = 49158"], "final_answer": "49158", "answer_type": "integer", "kind": "expression", "math_text": "-6284 + (-5493 + 60935)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6284, \"b\": -5493, \"c\": 60935}", "seed": "802349106036582019", "semantic_fingerprint": "sha256:df8cabba05179dc5917d44876a238e01f41c17b4bda0804c45f1294d916768dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006618", "prompt": "Solve the equation x = 31x + 87276 for x.", "solution_steps": ["Subtract 31x from both sides: -30x = 87276", "Divide both sides by -30: x = -14546/5"], "final_answer": "-14546/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 31x + 87276", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 87276}", "seed": "12132822420473229151", "semantic_fingerprint": "sha256:f61c88e24dbbefe0b3c00eb7001874d85f91b6d3f567399c737e7549e4526572", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006619", "prompt": "Solve the equation 37x = 26(x - 39856) for x.", "solution_steps": ["Expand: 37x = 26x - 1036256", "Subtract 26x from both sides: 11x = -1036256", "Divide both sides by 11: x = -1036256/11"], "final_answer": "-1036256/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "37x = 26(x - 39856)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 26, \"c\": 39856}", "seed": "7809390329669358025", "semantic_fingerprint": "sha256:86ea092ea6cb1cadbc023923ac3a9137ca77857963aab54878dc40375beefeb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006620", "prompt": "Compute: 9040 * (7763 / (-9349))", "solution_steps": ["Divide: 7763 / (-9349) = -7763/9349", "Multiply: 9040 * (-7763/9349) = -70177520/9349"], "final_answer": "-70177520/9349", "answer_type": "rational", "kind": "expression", "math_text": "9040 * (7763 / (-9349))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9040, \"b\": 7763, \"c\": -9349}", "seed": "5224393097397818404", "semantic_fingerprint": "sha256:b1bbbb62ed0a3c4492457dd7c45f66fac57365a1d8455ba0e0781def7015d7c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006621", "prompt": "Find x: x = -18(x + 9357)", "solution_steps": ["Expand: x = -18x - 168426", "Add 18x to both sides: 19x = -168426", "Divide both sides by 19: x = -168426/19"], "final_answer": "-168426/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -18(x + 9357)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18, \"b\": 9357}", "seed": "17432985826962444260", "semantic_fingerprint": "sha256:ab0655ed3a35fb6fec6abf2fc4bc83a8bf64dabbec6a219fa6988749d93fec35", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006622", "prompt": "Calculate: -3262 - (-2408 - (-3477) + 3510)", "solution_steps": ["Subtract: -2408 - (-3477) = 1069", "Add: 1069 + 3510 = 4579", "Subtract: -3262 - 4579 = -7841"], "final_answer": "-7841", "answer_type": "integer", "kind": "expression", "math_text": "-3262 - (-2408 - (-3477) + 3510)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3262, \"b\": -2408, \"c\": -3477, \"d\": 3510}", "seed": "12143078442166982681", "semantic_fingerprint": "sha256:02a3a6cb632fb193a8fe79458a9ec0f41bcb46c04451183cf15a1ad9802fa9d4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006623", "prompt": "Calculate: 4006 / (-4688)", "solution_steps": ["Divide: 4006 / (-4688) = -2003/2344"], "final_answer": "-2003/2344", "answer_type": "rational", "kind": "expression", "math_text": "4006 / (-4688)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4006, \"b\": -4688}", "seed": "17833618615006032288", "semantic_fingerprint": "sha256:4ae36251f6db24f33272ff9afcb39a49c42ffaba55a50db9165ace55bb8b2a87", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006624", "prompt": "What value of x satisfies x - 9548 = 33x - 3820?", "solution_steps": ["Subtract 33x from both sides: -32x - 9548 = -3820", "Add 9548 to both sides: -32x = 5728", "Divide both sides by -32: x = -179"], "final_answer": "-179", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9548 = 33x - 3820", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9548, \"b\": 33, \"d\": -3820, \"x\": -179}", "seed": "11315427820504996883", "semantic_fingerprint": "sha256:0b07dd837e0b03a3f504db10063050b75523948165b8a267cef410066b0b1d8c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006625", "prompt": "Solve for x: x = 25(x + 2209)", "solution_steps": ["Expand: x = 25x + 55225", "Subtract 25x from both sides: -24x = 55225", "Divide both sides by -24: x = -55225/24"], "final_answer": "-55225/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 25(x + 2209)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": 2209}", "seed": "5405306156721525237", "semantic_fingerprint": "sha256:e965a19836ba19aab2cdf52750ca04dcd79ff12a91899c178933d8cf785b4d4b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006626", "prompt": "What is -63844 * 5968?", "solution_steps": ["Multiply: -63844 * 5968 = -381020992"], "final_answer": "-381020992", "answer_type": "integer", "kind": "expression", "math_text": "-63844 * 5968", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -63844, \"b\": 5968}", "seed": "8765432949982589383", "semantic_fingerprint": "sha256:a5a680c4cab74d162aafec75494c08ba4f53f8950a6b24eace37203be975f1b2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006627", "prompt": "Calculate: -6374 - (-7030) / 1225 / (-1009) * 1112", "solution_steps": ["Divide: -7030 / 1225 = -1406/245", "Divide: (-1406/245) / (-1009) = 1406/247205", "Multiply: (1406/247205) * 1112 = 1563472/247205", "Subtract: -6374 - 1563472/247205 = -1577248142/247205"], "final_answer": "-1577248142/247205", "answer_type": "rational", "kind": "expression", "math_text": "-6374 - (-7030) / 1225 / (-1009) * 1112", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ (/ n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6374, \"b\": -7030, \"c\": 1225, \"d\": -1009, \"e\": 1112}", "seed": "144935996103013454", "semantic_fingerprint": "sha256:1c7124581fb273fbd7b9c428d39c20719f6b73d85184660322c6aec9a9306bbd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006628", "prompt": "Evaluate: 84461 / 4857 * (92968 - (-8355))", "solution_steps": ["Divide: 84461 / 4857 = 84461/4857", "Subtract: 92968 - (-8355) = 101323", "Multiply: (84461/4857) * 101323 = 8557841903/4857"], "final_answer": "8557841903/4857", "answer_type": "rational", "kind": "expression", "math_text": "84461 / 4857 * (92968 - (-8355))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 84461, \"b\": 4857, \"c\": 92968, \"d\": -8355}", "seed": "17217063541707279289", "semantic_fingerprint": "sha256:ebae0a621b09728ef624a9c4495f0735ad7fcb550ff74720dac96d9f28540351", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006629", "prompt": "What value of x satisfies 19(x + 71536) + 50492 = 15(x - 99578) - 85259?", "solution_steps": ["Expand: 19x + 1359184 + 50492 = 15(x - 99578) - 85259", "Expand: 19x + 1359184 + 50492 = 15x - 1493670 - 85259", "Combine constants: 19x + 1409676 = 15x - 1493670 - 85259", "Combine constants: 19x + 1409676 = 15x - 1578929", "Subtract 15x from both sides: 4x + 1409676 = -1578929", "Subtract 1409676 from both sides: 4x = -2988605", "Divide both sides by 4: x = -2988605/4"], "final_answer": "-2988605/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "19(x + 71536) + 50492 = 15(x - 99578) - 85259", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 71536, \"c\": 50492, \"d\": 15, \"e\": 99578, \"f\": 85259}", "seed": "17021573286572211725", "semantic_fingerprint": "sha256:713830ac476e63daa24798a14be8c61afe9d1a203d175abaed867b9fbd2d3cef", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006630", "prompt": "Evaluate: -86469 * (-4968 / 1196)", "solution_steps": ["Divide: -4968 / 1196 = -54/13", "Multiply: -86469 * (-54/13) = 4669326/13"], "final_answer": "4669326/13", "answer_type": "rational", "kind": "expression", "math_text": "-86469 * (-4968 / 1196)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86469, \"b\": -4968, \"c\": 1196}", "seed": "8653866220502374337", "semantic_fingerprint": "sha256:b4626ba8007a0ebd75ed8637ba67220d70fc970bde55b1c23c917416f2cd9ac8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006631", "prompt": "Compute: (-6418 + 77433) / (-45055)", "solution_steps": ["Add: -6418 + 77433 = 71015", "Divide: 71015 / (-45055) = -14203/9011"], "final_answer": "-14203/9011", "answer_type": "rational", "kind": "expression", "math_text": "(-6418 + 77433) / (-45055)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6418, \"b\": 77433, \"c\": -45055}", "seed": "1394618341465211566", "semantic_fingerprint": "sha256:05b3187d6887b54a375dc20d33f8a220e08bad47a7f7cb0185f83702af4251f0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006632", "prompt": "What value of x satisfies -24(x - 3214) - 87137 = 16x - 3235?", "solution_steps": ["Expand: -24x + 77136 - 87137 = 16x - 3235", "Combine constants: -24x - 10001 = 16x - 3235", "Subtract 16x from both sides: -40x - 10001 = -3235", "Add 10001 to both sides: -40x = 6766", "Divide both sides by -40: x = -3383/20"], "final_answer": "-3383/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-24(x - 3214) - 87137 = 16x - 3235", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -24, \"b\": 3214, \"c\": 87137, \"d\": 16, \"e\": 3235}", "seed": "623614474026176507", "semantic_fingerprint": "sha256:bdc6198bb59c5207729bb8ecf3f09a9a7bc2fd86018230e573c5735d85e4655b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006633", "prompt": "Solve the equation -21x - 4361 = 28x for x.", "solution_steps": ["Subtract 28x from both sides: -49x - 4361 = 0", "Add 4361 to both sides: -49x = 4361", "Divide both sides by -49: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "-21x - 4361 = 28x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 28, \"d\": -4361, \"x\": -89}", "seed": "2051118303558414249", "semantic_fingerprint": "sha256:9c4962d67ff409d01d11510720f6e936c2870644dc1b89195cc9a88859d95af6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006634", "prompt": "Evaluate: 2848 / (30362 / (-5981))", "solution_steps": ["Divide: 30362 / (-5981) = -30362/5981", "Divide: 2848 / (-30362/5981) = -8516944/15181"], "final_answer": "-8516944/15181", "answer_type": "rational", "kind": "expression", "math_text": "2848 / (30362 / (-5981))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2848, \"b\": 30362, \"c\": -5981}", "seed": "1160296133100013296", "semantic_fingerprint": "sha256:22dc728ad5833bcb90497efe3ae1f7aed44970e7600f399e3bd7464758fbd92b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006635", "prompt": "Solve the equation x - 1020 = 16x for x.", "solution_steps": ["Subtract 16x from both sides: -15x - 1020 = 0", "Add 1020 to both sides: -15x = 1020", "Divide both sides by -15: x = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1020 = 16x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"c\": -1020, \"x\": -68}", "seed": "15148563596204124044", "semantic_fingerprint": "sha256:785568e1bb25ec21367dcf742cd0e08064bde8ff41420010c5ac49b96d428ed6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006636", "prompt": "Calculate: -8972 - (-7913 + (-4212 + (-1813)))", "solution_steps": ["Add: -4212 + (-1813) = -6025", "Add: -7913 + (-6025) = -13938", "Subtract: -8972 - (-13938) = 4966"], "final_answer": "4966", "answer_type": "integer", "kind": "expression", "math_text": "-8972 - (-7913 + (-4212 + (-1813)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8972, \"b\": -7913, \"c\": -4212, \"d\": -1813}", "seed": "10705799746390391444", "semantic_fingerprint": "sha256:f4cf2ae96ea668e02bf3f9e4576f5032c43b73dd9d71f6e23fb871b282f9b3b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006637", "prompt": "What is 9953 + (-16776) / (-24824)?", "solution_steps": ["Divide: -16776 / (-24824) = 2097/3103", "Add: 9953 + 2097/3103 = 30886256/3103"], "final_answer": "30886256/3103", "answer_type": "rational", "kind": "expression", "math_text": "9953 + (-16776) / (-24824)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9953, \"b\": -16776, \"c\": -24824}", "seed": "1310414349850088400", "semantic_fingerprint": "sha256:3f6f6ced5dcb6232cf1ef366c9f60851e650e6efda5ef0c5755c0b6cd22060f2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006638", "prompt": "What is -9804 / 7676 / 7631?", "solution_steps": ["Divide: -9804 / 7676 = -129/101", "Divide: (-129/101) / 7631 = -129/770731"], "final_answer": "-129/770731", "answer_type": "rational", "kind": "expression", "math_text": "-9804 / 7676 / 7631", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9804, \"b\": 7676, \"c\": 7631}", "seed": "16420620255814379594", "semantic_fingerprint": "sha256:144045e4e75a8ff61777d3c8415bf1c85cdaa1754071a340f2023e8a620dfc66", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006639", "prompt": "Solve the equation -23(x + 2588) - 36288 = -35(x + 8813) + 73368 for x.", "solution_steps": ["Expand: -23x - 59524 - 36288 = -35(x + 8813) + 73368", "Expand: -23x - 59524 - 36288 = -35x - 308455 + 73368", "Combine constants: -23x - 95812 = -35x - 308455 + 73368", "Combine constants: -23x - 95812 = -35x - 235087", "Add 35x to both sides: 12x - 95812 = -235087", "Add 95812 to both sides: 12x = -139275", "Divide both sides by 12: x = -46425/4"], "final_answer": "-46425/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-23(x + 2588) - 36288 = -35(x + 8813) + 73368", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 2588, \"c\": 36288, \"d\": -35, \"e\": 8813, \"f\": 73368}", "seed": "7841173385316212391", "semantic_fingerprint": "sha256:45aeaf6fc860f557888429210a1b649402561ff65dc72b36ada60dad9169e14f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006640", "prompt": "Evaluate: 7013 + 29715 + (-81776)", "solution_steps": ["Add: 7013 + 29715 = 36728", "Add: 36728 + (-81776) = -45048"], "final_answer": "-45048", "answer_type": "integer", "kind": "expression", "math_text": "7013 + 29715 + (-81776)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7013, \"b\": 29715, \"c\": -81776}", "seed": "3910332216042613494", "semantic_fingerprint": "sha256:aaed6c46e26170385ee339204cd1da223bf6b1a0bcc480d607c94219ef5f6f8b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006641", "prompt": "Compute: (-4446 + 16727) / 17481 * (-5272)", "solution_steps": ["Add: -4446 + 16727 = 12281", "Divide: 12281 / 17481 = 12281/17481", "Multiply: (12281/17481) * (-5272) = -64745432/17481"], "final_answer": "-64745432/17481", "answer_type": "rational", "kind": "expression", "math_text": "(-4446 + 16727) / 17481 * (-5272)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4446, \"b\": 16727, \"c\": 17481, \"d\": -5272}", "seed": "1908017044253542813", "semantic_fingerprint": "sha256:3bb56c6f025f4e7db8190e784de7ad74761af3dfed60c3e90239e77ee1d6231c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006642", "prompt": "What value of x satisfies x = -23(x - 3727)?", "solution_steps": ["Expand: x = -23x + 85721", "Add 23x to both sides: 24x = 85721", "Divide both sides by 24: x = 85721/24"], "final_answer": "85721/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -23(x - 3727)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -23, \"b\": 3727}", "seed": "2564676015650538087", "semantic_fingerprint": "sha256:4e5491c7762542596e8fa0cac605074b174a18fbe2bde9ed14eb9dd7eeae2b5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006643", "prompt": "What is 4538 / (-8093) * (-1570)?", "solution_steps": ["Divide: 4538 / (-8093) = -4538/8093", "Multiply: (-4538/8093) * (-1570) = 7124660/8093"], "final_answer": "7124660/8093", "answer_type": "rational", "kind": "expression", "math_text": "4538 / (-8093) * (-1570)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4538, \"b\": -8093, \"c\": -1570}", "seed": "7889847096900130423", "semantic_fingerprint": "sha256:9f06bb9fe81c6fb2b926eead546d8daecf6c8d52e452d621ee6fc0c62d5ce06f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006644", "prompt": "What is 4472 * (-4062) * (-5955)?", "solution_steps": ["Multiply: 4472 * (-4062) = -18165264", "Multiply: -18165264 * (-5955) = 108174147120"], "final_answer": "108174147120", "answer_type": "integer", "kind": "expression", "math_text": "4472 * (-4062) * (-5955)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4472, \"b\": -4062, \"c\": -5955}", "seed": "17015615919892017229", "semantic_fingerprint": "sha256:c1d8baf4e58a6838c7da9fe4fd64bcccad55799766a2224b33161756981ee936", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006645", "prompt": "Compute: 6508 * (83073 - 73019) + (9902 - 4482)", "solution_steps": ["Subtract: 83073 - 73019 = 10054", "Multiply: 6508 * 10054 = 65431432", "Subtract: 9902 - 4482 = 5420", "Add: 65431432 + 5420 = 65436852"], "final_answer": "65436852", "answer_type": "integer", "kind": "expression", "math_text": "6508 * (83073 - 73019) + (9902 - 4482)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6508, \"b\": 83073, \"c\": 73019, \"d\": 9902, \"e\": 4482}", "seed": "4860164984461742196", "semantic_fingerprint": "sha256:f8e011062fdac71e1e95e9760fd4d66bf1d3433605447d41e89689e7d612b80f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006646", "prompt": "What is 9713 / (-2702) - (-6523)?", "solution_steps": ["Divide: 9713 / (-2702) = -9713/2702", "Subtract: -9713/2702 - (-6523) = 17615433/2702"], "final_answer": "17615433/2702", "answer_type": "rational", "kind": "expression", "math_text": "9713 / (-2702) - (-6523)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9713, \"b\": -2702, \"c\": -6523}", "seed": "14669752463444220190", "semantic_fingerprint": "sha256:7caf7b4258e483399ae40e1ebc3b6814f4130d323775c6f8df6a01c906674f0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006647", "prompt": "Solve for x: 26x = 34x - 1120", "solution_steps": ["Subtract 34x from both sides: -8x = -1120", "Divide both sides by -8: x = 140"], "final_answer": "140", "answer_type": "integer", "kind": "linear_equation", "math_text": "26x = 34x - 1120", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 34, \"d\": -1120, \"x\": 140}", "seed": "18330702159852549692", "semantic_fingerprint": "sha256:a469d8a430676e8f6c7ce7b506f4a8a3ec173bc383a41eeb6f7dcd97d167f370", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006648", "prompt": "What is -94538 * (-22520) + 5542?", "solution_steps": ["Multiply: -94538 * (-22520) = 2128995760", "Add: 2128995760 + 5542 = 2129001302"], "final_answer": "2129001302", "answer_type": "integer", "kind": "expression", "math_text": "-94538 * (-22520) + 5542", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -94538, \"b\": -22520, \"c\": 5542}", "seed": "2899032297692089597", "semantic_fingerprint": "sha256:ec068d0dd5d66feda653e0cd38dff48186e556ef6be1d31bb72f237e794ff497", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006649", "prompt": "Compute: (-26994 + (8856 - (-1859))) * (-8053 + (-3877))", "solution_steps": ["Subtract: 8856 - (-1859) = 10715", "Add: -26994 + 10715 = -16279", "Add: -8053 + (-3877) = -11930", "Multiply: -16279 * (-11930) = 194208470"], "final_answer": "194208470", "answer_type": "integer", "kind": "expression", "math_text": "(-26994 + (8856 - (-1859))) * (-8053 + (-3877))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -26994, \"b\": 8856, \"c\": -1859, \"d\": -8053, \"e\": -3877}", "seed": "14335182744079230159", "semantic_fingerprint": "sha256:cd2a65dd6b59e79291141c8ad71d6d27b6e449c51cd595e62ae6a617d16a67b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006650", "prompt": "Compute: (9722 - (-8642)) / (-5391 + (-97747))", "solution_steps": ["Subtract: 9722 - (-8642) = 18364", "Add: -5391 + (-97747) = -103138", "Divide: 18364 / (-103138) = -9182/51569"], "final_answer": "-9182/51569", "answer_type": "rational", "kind": "expression", "math_text": "(9722 - (-8642)) / (-5391 + (-97747))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9722, \"b\": -8642, \"c\": -5391, \"d\": -97747}", "seed": "11876597208474879407", "semantic_fingerprint": "sha256:25bdb94ccfc0e51919db295906972db21b4d4cd5860b4a8c0c72fdd296054779", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006651", "prompt": "What is 7003 + 6035 + (-5239)?", "solution_steps": ["Add: 7003 + 6035 = 13038", "Add: 13038 + (-5239) = 7799"], "final_answer": "7799", "answer_type": "integer", "kind": "expression", "math_text": "7003 + 6035 + (-5239)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7003, \"b\": 6035, \"c\": -5239}", "seed": "9734359400389762771", "semantic_fingerprint": "sha256:dcb320e3797edfa1543eda6a9fcfcf39e50929f781dd99426dfbc1e211c58c76", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006652", "prompt": "What is (8644 - 6191) / (1411 / (-9256))?", "solution_steps": ["Subtract: 8644 - 6191 = 2453", "Divide: 1411 / (-9256) = -1411/9256", "Divide: 2453 / (-1411/9256) = -22704968/1411"], "final_answer": "-22704968/1411", "answer_type": "rational", "kind": "expression", "math_text": "(8644 - 6191) / (1411 / (-9256))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8644, \"b\": 6191, \"c\": 1411, \"d\": -9256}", "seed": "2742395240839744358", "semantic_fingerprint": "sha256:378e710e3eb06f2b436c4d9570e0f44d9ae39b79bb02b49fd29ecee7e91f6869", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006653", "prompt": "Evaluate: -4679 - (-5538 + (-8012) - (-94755 - (-9788)) - 70769)", "solution_steps": ["Add: -5538 + (-8012) = -13550", "Subtract: -94755 - (-9788) = -84967", "Subtract: -13550 - (-84967) = 71417", "Subtract: 71417 - 70769 = 648", "Subtract: -4679 - 648 = -5327"], "final_answer": "-5327", "answer_type": "integer", "kind": "expression", "math_text": "-4679 - (-5538 + (-8012) - (-94755 - (-9788)) - 70769)", "variable": null, "family": "expression_5op", "shape": "(- n (- (- (+ n n) (- n n)) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -4679, \"b\": -5538, \"c\": -8012, \"d\": -94755, \"e\": -9788, \"f\": 70769}", "seed": "7203436226233675192", "semantic_fingerprint": "sha256:7a512a975e26033b2ecd0da95bdcb510f8486d7ee8cc755b07352476efafdeb0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006654", "prompt": "Calculate: 9987 - 6122 / 9416", "solution_steps": ["Divide: 6122 / 9416 = 3061/4708", "Subtract: 9987 - 3061/4708 = 47015735/4708"], "final_answer": "47015735/4708", "answer_type": "rational", "kind": "expression", "math_text": "9987 - 6122 / 9416", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9987, \"b\": 6122, \"c\": 9416}", "seed": "3195778488737665140", "semantic_fingerprint": "sha256:e7f753c441d3bf0ca68410e477bc9a3f871d64e845653e29ae9f3c79437920fa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006655", "prompt": "Evaluate: (4310 - 6736 * (-8327)) / (-8883 / 4258)", "solution_steps": ["Multiply: 6736 * (-8327) = -56090672", "Subtract: 4310 - (-56090672) = 56094982", "Divide: -8883 / 4258 = -8883/4258", "Divide: 56094982 / (-8883/4258) = -238852433356/8883"], "final_answer": "-238852433356/8883", "answer_type": "rational", "kind": "expression", "math_text": "(4310 - 6736 * (-8327)) / (-8883 / 4258)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4310, \"b\": 6736, \"c\": -8327, \"d\": -8883, \"e\": 4258}", "seed": "6342282368550079166", "semantic_fingerprint": "sha256:8938060db529413d2e6fc3c5c2fc5a1039bc59c87969110a42336a71481c493e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006656", "prompt": "Evaluate: -18117 + 32707 + 65971", "solution_steps": ["Add: -18117 + 32707 = 14590", "Add: 14590 + 65971 = 80561"], "final_answer": "80561", "answer_type": "integer", "kind": "expression", "math_text": "-18117 + 32707 + 65971", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -18117, \"b\": 32707, \"c\": 65971}", "seed": "15698576765346883517", "semantic_fingerprint": "sha256:a6a087cacf60675b4ce1b6c563cefd252735a5421a3f0d235d05be765547b068", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006657", "prompt": "Compute: -13985 - (4931 + (4398 + 82892))", "solution_steps": ["Add: 4398 + 82892 = 87290", "Add: 4931 + 87290 = 92221", "Subtract: -13985 - 92221 = -106206"], "final_answer": "-106206", "answer_type": "integer", "kind": "expression", "math_text": "-13985 - (4931 + (4398 + 82892))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13985, \"b\": 4931, \"c\": 4398, \"d\": 82892}", "seed": "3434227415499575148", "semantic_fingerprint": "sha256:44990af465da81df97772424619c244a518db16cdd54880e6af63ba73bdbe8c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006658", "prompt": "Find x: 34(x + 9822) = -24(x - 3638) - 7492", "solution_steps": ["Expand: 34x + 333948 = -24(x - 3638) - 7492", "Expand: 34x + 333948 = -24x + 87312 - 7492", "Combine constants: 34x + 333948 = -24x + 79820", "Add 24x to both sides: 58x + 333948 = 79820", "Subtract 333948 from both sides: 58x = -254128", "Divide both sides by 58: x = -127064/29"], "final_answer": "-127064/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 9822) = -24(x - 3638) - 7492", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 9822, \"c\": -24, \"d\": 3638, \"e\": 7492}", "seed": "1491719283405600393", "semantic_fingerprint": "sha256:7ee975f6723c424dbd9b1797db454f072d0d415292e8ff08fe14ab988ea9d82c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006659", "prompt": "Solve the equation 33x - 4576 = x for x.", "solution_steps": ["Subtract x from both sides: 32x - 4576 = 0", "Add 4576 to both sides: 32x = 4576", "Divide both sides by 32: x = 143"], "final_answer": "143", "answer_type": "integer", "kind": "linear_equation", "math_text": "33x - 4576 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33, \"c\": -4576, \"x\": 143}", "seed": "14000209002279404322", "semantic_fingerprint": "sha256:66941dca66d2259bb485062cc0978b4137eef912c093dfe68cb6b78de5028971", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006660", "prompt": "Find x: 24x - 3749 = x", "solution_steps": ["Subtract x from both sides: 23x - 3749 = 0", "Add 3749 to both sides: 23x = 3749", "Divide both sides by 23: x = 163"], "final_answer": "163", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 3749 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"c\": -3749, \"x\": 163}", "seed": "13045044601445339813", "semantic_fingerprint": "sha256:f069e56f449175d563c92f621bb06525ecf6b71ca87a1ce9b71b520e8a960906", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006661", "prompt": "Calculate: 72756 / (3683 + (-3289)) - (-43915)", "solution_steps": ["Add: 3683 + (-3289) = 394", "Divide: 72756 / 394 = 36378/197", "Subtract: 36378/197 - (-43915) = 8687633/197"], "final_answer": "8687633/197", "answer_type": "rational", "kind": "expression", "math_text": "72756 / (3683 + (-3289)) - (-43915)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 72756, \"b\": 3683, \"c\": -3289, \"d\": -43915}", "seed": "10817380788251121665", "semantic_fingerprint": "sha256:6c6d966aa1f259d852a2bd8a0d700107756e7b358fe5794150df0c0f6182e53d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006662", "prompt": "What is (-7024 + 85875) / (-3960)?", "solution_steps": ["Add: -7024 + 85875 = 78851", "Divide: 78851 / (-3960) = -78851/3960"], "final_answer": "-78851/3960", "answer_type": "rational", "kind": "expression", "math_text": "(-7024 + 85875) / (-3960)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7024, \"b\": 85875, \"c\": -3960}", "seed": "17307613330808026676", "semantic_fingerprint": "sha256:ea901ac7f9a7c2bac69f0a90fdaad3caeaf986a322d8ef2032a621ad4fa748e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006663", "prompt": "Calculate: (-78010 - (-1762)) / (-84646) * 6423", "solution_steps": ["Subtract: -78010 - (-1762) = -76248", "Divide: -76248 / (-84646) = 38124/42323", "Multiply: (38124/42323) * 6423 = 244870452/42323"], "final_answer": "244870452/42323", "answer_type": "rational", "kind": "expression", "math_text": "(-78010 - (-1762)) / (-84646) * 6423", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -78010, \"b\": -1762, \"c\": -84646, \"d\": 6423}", "seed": "15751638961728306631", "semantic_fingerprint": "sha256:07d6565ae2b8c63cdbf8087e5a0dcacdd55f4d72a0b07764c58f7224beffa5a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006664", "prompt": "Find x: -37x + 9054 = -14(x - 7349) - 93349", "solution_steps": ["Expand: -37x + 9054 = -14x + 102886 - 93349", "Combine constants: -37x + 9054 = -14x + 9537", "Add 14x to both sides: -23x + 9054 = 9537", "Subtract 9054 from both sides: -23x = 483", "Divide both sides by -23: x = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "linear_equation", "math_text": "-37x + 9054 = -14(x - 7349) - 93349", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -37, \"b\": 9054, \"c\": -14, \"d\": 7349, \"f\": -93349, \"x\": -21}", "seed": "14332028299656977843", "semantic_fingerprint": "sha256:f1712411c1d9ae56bacacb152db93941d5ef8c18fbe082722bd9fc40fcea516a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006665", "prompt": "Evaluate: 62234 + (6826 + 5565 / (-4974 + (-4595)))", "solution_steps": ["Add: -4974 + (-4595) = -9569", "Divide: 5565 / (-9569) = -795/1367", "Add: 6826 + (-795/1367) = 9330347/1367", "Add: 62234 + 9330347/1367 = 94404225/1367"], "final_answer": "94404225/1367", "answer_type": "rational", "kind": "expression", "math_text": "62234 + (6826 + 5565 / (-4974 + (-4595)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (/ n (+ n n))))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 62234, \"b\": 6826, \"c\": 5565, \"d\": -4974, \"e\": -4595}", "seed": "1286921727357543443", "semantic_fingerprint": "sha256:eb5a076348cbfad3a60a0b93c0edd3c8656c789bc208d60884367e38db79829e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006666", "prompt": "Evaluate: -4466 - (95933 + (-9437))", "solution_steps": ["Add: 95933 + (-9437) = 86496", "Subtract: -4466 - 86496 = -90962"], "final_answer": "-90962", "answer_type": "integer", "kind": "expression", "math_text": "-4466 - (95933 + (-9437))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4466, \"b\": 95933, \"c\": -9437}", "seed": "6188099788080604065", "semantic_fingerprint": "sha256:44fd6202eea1faa143c6849c020f3810ccc0405dff0a55b317fbe51d6a9c7f79", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006667", "prompt": "Calculate: -1628 / (-9026)", "solution_steps": ["Divide: -1628 / (-9026) = 814/4513"], "final_answer": "814/4513", "answer_type": "rational", "kind": "expression", "math_text": "-1628 / (-9026)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1628, \"b\": -9026}", "seed": "10105098489523949554", "semantic_fingerprint": "sha256:bcd6a4d294479dc31ddbc066d5b88917e4484cafb68b943a8b261eb62a53a69c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006668", "prompt": "Solve for x: -39x = 17(x - 30118)", "solution_steps": ["Expand: -39x = 17x - 512006", "Subtract 17x from both sides: -56x = -512006", "Divide both sides by -56: x = 256003/28"], "final_answer": "256003/28", "answer_type": "rational", "kind": "linear_equation", "math_text": "-39x = 17(x - 30118)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 17, \"c\": 30118}", "seed": "8565783645327594616", "semantic_fingerprint": "sha256:cd5f49f4c0e8636bebae609455d3b45fff1516779797ebc1c86e49241dc1dab6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006669", "prompt": "Calculate: -98708 / (4802 - 3248) + 5931", "solution_steps": ["Subtract: 4802 - 3248 = 1554", "Divide: -98708 / 1554 = -49354/777", "Add: -49354/777 + 5931 = 4559033/777"], "final_answer": "4559033/777", "answer_type": "rational", "kind": "expression", "math_text": "-98708 / (4802 - 3248) + 5931", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -98708, \"b\": 4802, \"c\": 3248, \"d\": 5931}", "seed": "12515714447923025873", "semantic_fingerprint": "sha256:3160e9c2ca3ee915ed878a47c990e4565dbe75c2f1090e3e1dbeec49ae61748c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006670", "prompt": "Evaluate: 2984 * (-1736 * (-33893 + (-1774))) + 95798 - 72953", "solution_steps": ["Add: -33893 + (-1774) = -35667", "Multiply: -1736 * (-35667) = 61917912", "Multiply: 2984 * 61917912 = 184763049408", "Add: 184763049408 + 95798 = 184763145206", "Subtract: 184763145206 - 72953 = 184763072253"], "final_answer": "184763072253", "answer_type": "integer", "kind": "expression", "math_text": "2984 * (-1736 * (-33893 + (-1774))) + 95798 - 72953", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n (* n (+ n n))) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2984, \"b\": -1736, \"c\": -33893, \"d\": -1774, \"e\": 95798, \"f\": 72953}", "seed": "13357205528749989801", "semantic_fingerprint": "sha256:d9390f355119a0143ebf97b94840f66b3fb978b1eae74fe059e87f3f431c17f8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006671", "prompt": "Compute: -85867 / (-5313) * (64574 + (-1859) * (-4402))", "solution_steps": ["Divide: -85867 / (-5313) = 85867/5313", "Multiply: -1859 * (-4402) = 8183318", "Add: 64574 + 8183318 = 8247892", "Multiply: (85867/5313) * 8247892 = 30792249668/231"], "final_answer": "30792249668/231", "answer_type": "rational", "kind": "expression", "math_text": "-85867 / (-5313) * (64574 + (-1859) * (-4402))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -85867, \"b\": -5313, \"c\": 64574, \"d\": -1859, \"e\": -4402}", "seed": "17979074494894761959", "semantic_fingerprint": "sha256:e3a5b22c7be2c2d1230a665321974a2653c12e49b4b8ddf063af8518096d8cc7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006672", "prompt": "What value of x satisfies x = 30(x + 3206) - 93686?", "solution_steps": ["Expand: x = 30x + 96180 - 93686", "Combine constants: x = 30x + 2494", "Subtract 30x from both sides: -29x = 2494", "Divide both sides by -29: x = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 30(x + 3206) - 93686", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 3206, \"d\": -93686, \"x\": -86}", "seed": "134424971753886452", "semantic_fingerprint": "sha256:d0b1fcf4718014ed53a2d41309dc4cebe91b3b033fd33ae07741c22f7100b2e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006673", "prompt": "What value of x satisfies x = -22x - 68148?", "solution_steps": ["Add 22x to both sides: 23x = -68148", "Divide both sides by 23: x = -68148/23"], "final_answer": "-68148/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -22x - 68148", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 68148}", "seed": "4944463752340695603", "semantic_fingerprint": "sha256:2487b47837fa7861893c9e5189e63b8835750552cb04b85daa0881db701d1bbf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006674", "prompt": "What value of x satisfies -21(x - 45997) = x?", "solution_steps": ["Expand: -21x + 965937 = x", "Subtract x from both sides: -22x + 965937 = 0", "Subtract 965937 from both sides: -22x = -965937", "Divide both sides by -22: x = 965937/22"], "final_answer": "965937/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-21(x - 45997) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -21, \"b\": 45997}", "seed": "14243136539327820840", "semantic_fingerprint": "sha256:6be2fa48612779bf9a7cb654736eadb78b6420ca39f3cb49949db8a8add03f59", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006675", "prompt": "Evaluate: -2033 + 8802", "solution_steps": ["Add: -2033 + 8802 = 6769"], "final_answer": "6769", "answer_type": "integer", "kind": "expression", "math_text": "-2033 + 8802", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2033, \"b\": 8802}", "seed": "651151205282801465", "semantic_fingerprint": "sha256:0f6d30475fad3c22e70c1c05111519465364f3fea7a21df393231d8912b1e9d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006676", "prompt": "Evaluate: -32815 * (-81205) - (-8759)", "solution_steps": ["Multiply: -32815 * (-81205) = 2664742075", "Subtract: 2664742075 - (-8759) = 2664750834"], "final_answer": "2664750834", "answer_type": "integer", "kind": "expression", "math_text": "-32815 * (-81205) - (-8759)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32815, \"b\": -81205, \"c\": -8759}", "seed": "1593731278258072848", "semantic_fingerprint": "sha256:9f5bf562bd90877943cd6c1242b6b0107238f18c98e1082425573c4444dec9ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006677", "prompt": "Compute: 60261 * (-8430 + (-7563))", "solution_steps": ["Add: -8430 + (-7563) = -15993", "Multiply: 60261 * (-15993) = -963754173"], "final_answer": "-963754173", "answer_type": "integer", "kind": "expression", "math_text": "60261 * (-8430 + (-7563))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 60261, \"b\": -8430, \"c\": -7563}", "seed": "6115204120349893594", "semantic_fingerprint": "sha256:adfd5f9502891e60a636148b91fc9f2445411c4d602626bef78fefa357a4f6b9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006678", "prompt": "Compute: 73367 / (-86649) - 63827", "solution_steps": ["Divide: 73367 / (-86649) = -73367/86649", "Subtract: -73367/86649 - 63827 = -5530619090/86649"], "final_answer": "-5530619090/86649", "answer_type": "rational", "kind": "expression", "math_text": "73367 / (-86649) - 63827", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 73367, \"b\": -86649, \"c\": 63827}", "seed": "13741064079779046858", "semantic_fingerprint": "sha256:8c18c5bb73f888435fbdf49ed1715fcfbd1500056681eb8b46c5ff61049d771c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006679", "prompt": "Solve the equation x - 31628 = 15x - 32230 for x.", "solution_steps": ["Subtract 15x from both sides: -14x - 31628 = -32230", "Add 31628 to both sides: -14x = -602", "Divide both sides by -14: x = 43"], "final_answer": "43", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 31628 = 15x - 32230", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31628, \"b\": 15, \"d\": -32230, \"x\": 43}", "seed": "8646113998504659735", "semantic_fingerprint": "sha256:dbbf64203b568d2502a2555238c528876b9bd7864e8886b40bbfcb160f80dcb5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006680", "prompt": "Solve for x: x - 90684 = 24x + 4206", "solution_steps": ["Subtract 24x from both sides: -23x - 90684 = 4206", "Add 90684 to both sides: -23x = 94890", "Divide both sides by -23: x = -94890/23"], "final_answer": "-94890/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 90684 = 24x + 4206", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 90684, \"b\": 24, \"c\": 4206}", "seed": "12918887334712859374", "semantic_fingerprint": "sha256:d671f1275fbcf9fe0074312cb6e5d3472437e7290c746a6202489e31f9623fc5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006681", "prompt": "Compute: 58771 * 1139", "solution_steps": ["Multiply: 58771 * 1139 = 66940169"], "final_answer": "66940169", "answer_type": "integer", "kind": "expression", "math_text": "58771 * 1139", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 58771, \"b\": 1139}", "seed": "17749204078428092871", "semantic_fingerprint": "sha256:6d4de684c225ce88da90a079fee416120b50431af84d1a137cc36a099c8e4986", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006682", "prompt": "Find x: 24x - 7650 = -27x", "solution_steps": ["Add 27x to both sides: 51x - 7650 = 0", "Add 7650 to both sides: 51x = 7650", "Divide both sides by 51: x = 150"], "final_answer": "150", "answer_type": "integer", "kind": "linear_equation", "math_text": "24x - 7650 = -27x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": -27, \"d\": -7650, \"x\": 150}", "seed": "1603626074973572953", "semantic_fingerprint": "sha256:ce10c3310193cb2ea75bae6f87cb305bdf403e84c4e1112934b924ad3a47dd9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006683", "prompt": "Solve the equation 20x = x + 1520 for x.", "solution_steps": ["Subtract x from both sides: 19x = 1520", "Divide both sides by 19: x = 80"], "final_answer": "80", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x = x + 1520", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 20, \"c\": 1520, \"x\": 80}", "seed": "3062782334229861025", "semantic_fingerprint": "sha256:d2cb64a15429a186884c8b4865746fd17c9b1f97989f343bbd5984733e7aee65", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006684", "prompt": "Find x: 38(x + 75504) - 89055 = 40x - 7062", "solution_steps": ["Expand: 38x + 2869152 - 89055 = 40x - 7062", "Combine constants: 38x + 2780097 = 40x - 7062", "Subtract 40x from both sides: -2x + 2780097 = -7062", "Subtract 2780097 from both sides: -2x = -2787159", "Divide both sides by -2: x = 2787159/2"], "final_answer": "2787159/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "38(x + 75504) - 89055 = 40x - 7062", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": 75504, \"c\": 89055, \"d\": 40, \"e\": 7062}", "seed": "7869069783977920621", "semantic_fingerprint": "sha256:f71776e6b145b18c52f08bd214add582b5c7b6c396f75ce9db38efb37e687aa1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006685", "prompt": "Calculate: 75691 / 92337", "solution_steps": ["Divide: 75691 / 92337 = 10813/13191"], "final_answer": "10813/13191", "answer_type": "rational", "kind": "expression", "math_text": "75691 / 92337", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 75691, \"b\": 92337}", "seed": "11190565460699997864", "semantic_fingerprint": "sha256:eca228d0c045db9378f3143ef993aacb05d628663da0c1545fe2a04904144c07", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006686", "prompt": "Find x: 28x + 5331 = 14x + 2811", "solution_steps": ["Subtract 14x from both sides: 14x + 5331 = 2811", "Subtract 5331 from both sides: 14x = -2520", "Divide both sides by 14: x = -180"], "final_answer": "-180", "answer_type": "integer", "kind": "linear_equation", "math_text": "28x + 5331 = 14x + 2811", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 5331, \"c\": 14, \"e\": 2811, \"x\": -180}", "seed": "13929929044054901859", "semantic_fingerprint": "sha256:f91ca3714f9e6cd166eea5289c90eca2e12b48b8a2199a437d60218b8492c0d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006687", "prompt": "Solve for x: 23(x + 1284) - 9207 = 17289", "solution_steps": ["Expand: 23x + 29532 - 9207 = 17289", "Combine constants: 23x + 20325 = 17289", "Subtract 20325 from both sides: 23x = -3036", "Divide both sides by 23: x = -132"], "final_answer": "-132", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x + 1284) - 9207 = 17289", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 1284, \"c\": 9207, \"e\": 17289, \"x\": -132}", "seed": "6511815278273554002", "semantic_fingerprint": "sha256:a32b12451c8d6190a03e11041c3fe12d67edd605fb91adf23fb95d5d105c7f6b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006688", "prompt": "Compute: -4087 * (-5760 / 20797)", "solution_steps": ["Divide: -5760 / 20797 = -5760/20797", "Multiply: -4087 * (-5760/20797) = 23541120/20797"], "final_answer": "23541120/20797", "answer_type": "rational", "kind": "expression", "math_text": "-4087 * (-5760 / 20797)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4087, \"b\": -5760, \"c\": 20797}", "seed": "2074248559521744084", "semantic_fingerprint": "sha256:7bcbeb2e2cae95e43d1a0cfaf83001cb874772b34e696748419293d0e6ab20d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006689", "prompt": "Solve for x: x = -32(x - 76541) - 3393", "solution_steps": ["Expand: x = -32x + 2449312 - 3393", "Combine constants: x = -32x + 2445919", "Add 32x to both sides: 33x = 2445919", "Divide both sides by 33: x = 2445919/33"], "final_answer": "2445919/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -32(x - 76541) - 3393", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -32, \"b\": 76541, \"c\": 3393}", "seed": "10012963237219139784", "semantic_fingerprint": "sha256:819cce374ab75c8fba0d5b3e2681a60b6bcf397cf7a5daa407189cac70b8f022", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006690", "prompt": "Compute: -30845 / (-22324 - (-30384)) - (-7101)", "solution_steps": ["Subtract: -22324 - (-30384) = 8060", "Divide: -30845 / 8060 = -199/52", "Subtract: -199/52 - (-7101) = 369053/52"], "final_answer": "369053/52", "answer_type": "rational", "kind": "expression", "math_text": "-30845 / (-22324 - (-30384)) - (-7101)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -30845, \"b\": -22324, \"c\": -30384, \"d\": -7101}", "seed": "6790416288937948228", "semantic_fingerprint": "sha256:579740a6a09090be097c40484e27cf8fe270b29df1aadc4e4e5e0de63e482465", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006691", "prompt": "Calculate: (-6393 - (-9486)) * (-6084)", "solution_steps": ["Subtract: -6393 - (-9486) = 3093", "Multiply: 3093 * (-6084) = -18817812"], "final_answer": "-18817812", "answer_type": "integer", "kind": "expression", "math_text": "(-6393 - (-9486)) * (-6084)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6393, \"b\": -9486, \"c\": -6084}", "seed": "2939288787851677421", "semantic_fingerprint": "sha256:71ec8aa2314776e89e15b46f3c3fd43963ecf3f582e474b0e7e5bee82951d6c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006692", "prompt": "What is -59017 / (-9999 / 6583)?", "solution_steps": ["Divide: -9999 / 6583 = -9999/6583", "Divide: -59017 / (-9999/6583) = 388508911/9999"], "final_answer": "388508911/9999", "answer_type": "rational", "kind": "expression", "math_text": "-59017 / (-9999 / 6583)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -59017, \"b\": -9999, \"c\": 6583}", "seed": "17671290228055437870", "semantic_fingerprint": "sha256:1c130b414c41e156a8a69acd82814961427d8ceb791081bf80820946efade758", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006693", "prompt": "Solve the equation 25x = -28x - 8162 for x.", "solution_steps": ["Add 28x to both sides: 53x = -8162", "Divide both sides by 53: x = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "linear_equation", "math_text": "25x = -28x - 8162", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 25, \"b\": -28, \"d\": -8162, \"x\": -154}", "seed": "17941608124186915633", "semantic_fingerprint": "sha256:9c9bce22346eb4019dc2ab1fce248561edc03be72cf0c4d97bc6256f27788e96", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006694", "prompt": "What is 9495 / 9888 + (-5963)?", "solution_steps": ["Divide: 9495 / 9888 = 3165/3296", "Add: 3165/3296 + (-5963) = -19650883/3296"], "final_answer": "-19650883/3296", "answer_type": "rational", "kind": "expression", "math_text": "9495 / 9888 + (-5963)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9495, \"b\": 9888, \"c\": -5963}", "seed": "471283827171103517", "semantic_fingerprint": "sha256:893f2f60f4e1833c476d2e372b677c8344994d3f5ec33096648ef21f9449c2f1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006695", "prompt": "Solve the equation -28x = 39x for x.", "solution_steps": ["Subtract 39x from both sides: -67x = 0", "Divide both sides by -67: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-28x = 39x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -28, \"b\": 39}", "seed": "11404026883969404811", "semantic_fingerprint": "sha256:389c5a1b17b3eca5ecc5f6bab44acc2347b968b11f3bf8a9aada3516d19466c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006696", "prompt": "Evaluate: (-1455 - 14139) * (-7233)", "solution_steps": ["Subtract: -1455 - 14139 = -15594", "Multiply: -15594 * (-7233) = 112791402"], "final_answer": "112791402", "answer_type": "integer", "kind": "expression", "math_text": "(-1455 - 14139) * (-7233)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -1455, \"b\": 14139, \"c\": -7233}", "seed": "2307872195914127061", "semantic_fingerprint": "sha256:e9ae55836e91f1dde88b77acda847bd779563703ed4066541c2fc084593c389a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006697", "prompt": "Calculate: -2261 + 3534", "solution_steps": ["Add: -2261 + 3534 = 1273"], "final_answer": "1273", "answer_type": "integer", "kind": "expression", "math_text": "-2261 + 3534", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2261, \"b\": 3534}", "seed": "17149848990511190744", "semantic_fingerprint": "sha256:c53c2210aa6916f9881049ea0e9bd03f8357c49eae54e6b1adea6e43d97bd4fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006698", "prompt": "Solve the equation x - 6795 = -29(x + 21722) - 4457 for x.", "solution_steps": ["Expand: x - 6795 = -29x - 629938 - 4457", "Combine constants: x - 6795 = -29x - 634395", "Add 29x to both sides: 30x - 6795 = -634395", "Add 6795 to both sides: 30x = -627600", "Divide both sides by 30: x = -20920"], "final_answer": "-20920", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6795 = -29(x + 21722) - 4457", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6795, \"b\": -29, \"c\": 21722, \"d\": 4457}", "seed": "11954185215444523285", "semantic_fingerprint": "sha256:e5fddd90c28848e053522963ee5db47a70c483dceaea057cf3c6272049449318", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006699", "prompt": "Evaluate: 9530 * (60834 - (-7533)) + 3810", "solution_steps": ["Subtract: 60834 - (-7533) = 68367", "Multiply: 9530 * 68367 = 651537510", "Add: 651537510 + 3810 = 651541320"], "final_answer": "651541320", "answer_type": "integer", "kind": "expression", "math_text": "9530 * (60834 - (-7533)) + 3810", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9530, \"b\": 60834, \"c\": -7533, \"d\": 3810}", "seed": "13610826450466220030", "semantic_fingerprint": "sha256:4bb1a83f2ce69b86dc5b732b216f6ebf33db8dd725981caa113ce46a82b2de9e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006700", "prompt": "What is 9464 * (97984 + (-75271))?", "solution_steps": ["Add: 97984 + (-75271) = 22713", "Multiply: 9464 * 22713 = 214955832"], "final_answer": "214955832", "answer_type": "integer", "kind": "expression", "math_text": "9464 * (97984 + (-75271))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9464, \"b\": 97984, \"c\": -75271}", "seed": "2633055460649373192", "semantic_fingerprint": "sha256:2c4897e13bf314016bf4523d6047b4d5789b2b6098d18006e6cfca9781a63cd8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006701", "prompt": "What is -6368 + 6150?", "solution_steps": ["Add: -6368 + 6150 = -218"], "final_answer": "-218", "answer_type": "integer", "kind": "expression", "math_text": "-6368 + 6150", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6368, \"b\": 6150}", "seed": "13878587085333320141", "semantic_fingerprint": "sha256:b0ff12ffcc05d618af6edbbd23c2b4456cbda694f15a09dfefbf5406f1c291e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006702", "prompt": "What is 6363 - 73864?", "solution_steps": ["Subtract: 6363 - 73864 = -67501"], "final_answer": "-67501", "answer_type": "integer", "kind": "expression", "math_text": "6363 - 73864", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6363, \"b\": 73864}", "seed": "2358639233386738011", "semantic_fingerprint": "sha256:d49342b341e9df60bd8f7b5640b2e05479a02745d9bed8d6be565ff234994108", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006703", "prompt": "Solve the equation -20x + 20214 = 38(x - 3963) - 19148 for x.", "solution_steps": ["Expand: -20x + 20214 = 38x - 150594 - 19148", "Combine constants: -20x + 20214 = 38x - 169742", "Subtract 38x from both sides: -58x + 20214 = -169742", "Subtract 20214 from both sides: -58x = -189956", "Divide both sides by -58: x = 94978/29"], "final_answer": "94978/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-20x + 20214 = 38(x - 3963) - 19148", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -20, \"b\": 20214, \"c\": 38, \"d\": 3963, \"e\": 19148}", "seed": "16064075212815276072", "semantic_fingerprint": "sha256:feac4b1c80322dd4768ccbd11035eae8d8c1a8609d00c413937a436ae0678d12", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006704", "prompt": "Evaluate: (22086 - (-91903)) / (8060 + 15996)", "solution_steps": ["Subtract: 22086 - (-91903) = 113989", "Add: 8060 + 15996 = 24056", "Divide: 113989 / 24056 = 113989/24056"], "final_answer": "113989/24056", "answer_type": "rational", "kind": "expression", "math_text": "(22086 - (-91903)) / (8060 + 15996)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22086, \"b\": -91903, \"c\": 8060, \"d\": 15996}", "seed": "11472406508185309404", "semantic_fingerprint": "sha256:aa1d486ca4fbc3fc7d787c30dbecf4c4667ca3477869700a963a730ab8e30f29", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006705", "prompt": "Evaluate: (-6579 + (-6872)) / (95142 - (-48723))", "solution_steps": ["Add: -6579 + (-6872) = -13451", "Subtract: 95142 - (-48723) = 143865", "Divide: -13451 / 143865 = -13451/143865"], "final_answer": "-13451/143865", "answer_type": "rational", "kind": "expression", "math_text": "(-6579 + (-6872)) / (95142 - (-48723))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6579, \"b\": -6872, \"c\": 95142, \"d\": -48723}", "seed": "11452680308776933881", "semantic_fingerprint": "sha256:82e714d413d94631a44ff32a0f485fa354324ceeb3ac36a38cea83a3f9bdbba2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006706", "prompt": "Calculate: -27621 - (-8779)", "solution_steps": ["Subtract: -27621 - (-8779) = -18842"], "final_answer": "-18842", "answer_type": "integer", "kind": "expression", "math_text": "-27621 - (-8779)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -27621, \"b\": -8779}", "seed": "1565806808256376620", "semantic_fingerprint": "sha256:68aa10f6833973e4390eef5a70098e82c305f63853c4fab245340d927b0a7061", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006707", "prompt": "Solve for x: -31x = x", "solution_steps": ["Subtract x from both sides: -32x = 0", "Divide both sides by -32: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-31x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -31}", "seed": "1614869996573845529", "semantic_fingerprint": "sha256:e7cb9faff26096560f58db8d21b8abb0d14b8e942eceec691ffc8789c483b930", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006708", "prompt": "Evaluate: 3881 + 1195", "solution_steps": ["Add: 3881 + 1195 = 5076"], "final_answer": "5076", "answer_type": "integer", "kind": "expression", "math_text": "3881 + 1195", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3881, \"b\": 1195}", "seed": "7431292335604342268", "semantic_fingerprint": "sha256:5e277fd06157cf18f8c6becc9b863ef7278f9b4f00a00d8c561b88633b5b7036", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006709", "prompt": "Evaluate: 2549 * (-49658 - (-45663))", "solution_steps": ["Subtract: -49658 - (-45663) = -3995", "Multiply: 2549 * (-3995) = -10183255"], "final_answer": "-10183255", "answer_type": "integer", "kind": "expression", "math_text": "2549 * (-49658 - (-45663))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2549, \"b\": -49658, \"c\": -45663}", "seed": "10123125114226744122", "semantic_fingerprint": "sha256:7285767113fbf6d4fe4e1357f4915e91f908a4e95395651ccef1dc8fce0ce383", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006710", "prompt": "What is 7861 + (-6800) / (5318 + (-6669))?", "solution_steps": ["Add: 5318 + (-6669) = -1351", "Divide: -6800 / (-1351) = 6800/1351", "Add: 7861 + 6800/1351 = 10627011/1351"], "final_answer": "10627011/1351", "answer_type": "rational", "kind": "expression", "math_text": "7861 + (-6800) / (5318 + (-6669))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7861, \"b\": -6800, \"c\": 5318, \"d\": -6669}", "seed": "2620728552719068258", "semantic_fingerprint": "sha256:1615364cdb4231a9126485ff20019a1f9a427f5780d7c5f996f599e543a5f696", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006711", "prompt": "Evaluate: -2799 / (-8130) + 6399", "solution_steps": ["Divide: -2799 / (-8130) = 933/2710", "Add: 933/2710 + 6399 = 17342223/2710"], "final_answer": "17342223/2710", "answer_type": "rational", "kind": "expression", "math_text": "-2799 / (-8130) + 6399", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2799, \"b\": -8130, \"c\": 6399}", "seed": "8880742013124077573", "semantic_fingerprint": "sha256:f86726cd5822adc8f725b06f121bd9ea3584b8db34ba1f8922da10026ae644b8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006712", "prompt": "What is 64757 / (14564 + (-2567 + (-77098))) * (-28563)?", "solution_steps": ["Add: -2567 + (-77098) = -79665", "Add: 14564 + (-79665) = -65101", "Divide: 64757 / (-65101) = -64757/65101", "Multiply: (-64757/65101) * (-28563) = 1849654191/65101"], "final_answer": "1849654191/65101", "answer_type": "rational", "kind": "expression", "math_text": "64757 / (14564 + (-2567 + (-77098))) * (-28563)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 64757, \"b\": 14564, \"c\": -2567, \"d\": -77098, \"e\": -28563}", "seed": "13422808700262708707", "semantic_fingerprint": "sha256:689b48dc7c51373fd831389d6982bba4ac7dbd90da930d9daf975259fd31dca0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006713", "prompt": "Compute: (7014 + 2727) * (-70726 / 14402)", "solution_steps": ["Add: 7014 + 2727 = 9741", "Divide: -70726 / 14402 = -35363/7201", "Multiply: 9741 * (-35363/7201) = -344470983/7201"], "final_answer": "-344470983/7201", "answer_type": "rational", "kind": "expression", "math_text": "(7014 + 2727) * (-70726 / 14402)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7014, \"b\": 2727, \"c\": -70726, \"d\": 14402}", "seed": "11216916500285147327", "semantic_fingerprint": "sha256:701ec7d7a1ee35b2b4db306f8b9f6d4d2ff00c559993bdb6f54616eceb9dbd42", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006714", "prompt": "Compute: -6810 * (-71816)", "solution_steps": ["Multiply: -6810 * (-71816) = 489066960"], "final_answer": "489066960", "answer_type": "integer", "kind": "expression", "math_text": "-6810 * (-71816)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -6810, \"b\": -71816}", "seed": "6028706622632175063", "semantic_fingerprint": "sha256:1133cf964f1c1802a07e24fba72d72be9afc6c8ce6a65c8bd90a247b2b3eab3c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006715", "prompt": "Calculate: 64132 + 30163 + (-76510 - 8697)", "solution_steps": ["Add: 64132 + 30163 = 94295", "Subtract: -76510 - 8697 = -85207", "Add: 94295 + (-85207) = 9088"], "final_answer": "9088", "answer_type": "integer", "kind": "expression", "math_text": "64132 + 30163 + (-76510 - 8697)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 64132, \"b\": 30163, \"c\": -76510, \"d\": 8697}", "seed": "12569224406777020731", "semantic_fingerprint": "sha256:a4cb565d2955b4dd1bca16d1042a2f5729fd85ac7235da3f253d9454870da824", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006716", "prompt": "Compute: 2273 - 86413 * (-8080)", "solution_steps": ["Multiply: 86413 * (-8080) = -698217040", "Subtract: 2273 - (-698217040) = 698219313"], "final_answer": "698219313", "answer_type": "integer", "kind": "expression", "math_text": "2273 - 86413 * (-8080)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2273, \"b\": 86413, \"c\": -8080}", "seed": "9165152695917194225", "semantic_fingerprint": "sha256:f8f66ac755ab000859622d0fae0b7bed99745165c767cabe255c3ce9136fb952", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006717", "prompt": "What is -5780 + (-44043 - (-1341 + (-36417) - (-7222) + 5285))?", "solution_steps": ["Add: -1341 + (-36417) = -37758", "Subtract: -37758 - (-7222) = -30536", "Add: -30536 + 5285 = -25251", "Subtract: -44043 - (-25251) = -18792", "Add: -5780 + (-18792) = -24572"], "final_answer": "-24572", "answer_type": "integer", "kind": "expression", "math_text": "-5780 + (-44043 - (-1341 + (-36417) - (-7222) + 5285))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (+ (- (+ n n) n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5780, \"b\": -44043, \"c\": -1341, \"d\": -36417, \"e\": -7222, \"f\": 5285}", "seed": "6481267820063193585", "semantic_fingerprint": "sha256:5d451defab0343b998c1774df04f573c81df45e8e3f5592349d74721d76a2ed4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006718", "prompt": "Find x: 40(x - 89643) = 32x", "solution_steps": ["Expand: 40x - 3585720 = 32x", "Subtract 32x from both sides: 8x - 3585720 = 0", "Add 3585720 to both sides: 8x = 3585720", "Divide both sides by 8: x = 448215"], "final_answer": "448215", "answer_type": "integer", "kind": "linear_equation", "math_text": "40(x - 89643) = 32x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 89643, \"c\": 32}", "seed": "13098954561583747725", "semantic_fingerprint": "sha256:72fc00531f18685c787591e4c9cefc7a5cbb3120671fcda4b26d806026223478", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006719", "prompt": "Compute: -64724 * 3351 + 22018", "solution_steps": ["Multiply: -64724 * 3351 = -216890124", "Add: -216890124 + 22018 = -216868106"], "final_answer": "-216868106", "answer_type": "integer", "kind": "expression", "math_text": "-64724 * 3351 + 22018", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64724, \"b\": 3351, \"c\": 22018}", "seed": "12950107109621836649", "semantic_fingerprint": "sha256:5718ca08bb0913223ec069759317868c73f3e77fef6a3a788208c283c46189a6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006720", "prompt": "Evaluate: -13220 * (-3690) + (-6675 + 8199)", "solution_steps": ["Multiply: -13220 * (-3690) = 48781800", "Add: -6675 + 8199 = 1524", "Add: 48781800 + 1524 = 48783324"], "final_answer": "48783324", "answer_type": "integer", "kind": "expression", "math_text": "-13220 * (-3690) + (-6675 + 8199)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -13220, \"b\": -3690, \"c\": -6675, \"d\": 8199}", "seed": "13763344569430792545", "semantic_fingerprint": "sha256:02abaaf3acdfe3dddb378bf001db4eef331e182be49f6fb5cf3330b6f544ed7d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006721", "prompt": "What value of x satisfies -25(x - 65979) + 91486 = -16(x + 7556) + 7808?", "solution_steps": ["Expand: -25x + 1649475 + 91486 = -16(x + 7556) + 7808", "Expand: -25x + 1649475 + 91486 = -16x - 120896 + 7808", "Combine constants: -25x + 1740961 = -16x - 120896 + 7808", "Combine constants: -25x + 1740961 = -16x - 113088", "Add 16x to both sides: -9x + 1740961 = -113088", "Subtract 1740961 from both sides: -9x = -1854049", "Divide both sides by -9: x = 1854049/9"], "final_answer": "1854049/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-25(x - 65979) + 91486 = -16(x + 7556) + 7808", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -25, \"b\": 65979, \"c\": 91486, \"d\": -16, \"e\": 7556, \"f\": 7808}", "seed": "9911152029104947462", "semantic_fingerprint": "sha256:cebc587d791d6c9bfe02302599eb26625634cd22d498c84867223130fb4a54d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006722", "prompt": "Evaluate: (2573 - (-47489) + (-7700)) / (16930 + (-48272))", "solution_steps": ["Subtract: 2573 - (-47489) = 50062", "Add: 50062 + (-7700) = 42362", "Add: 16930 + (-48272) = -31342", "Divide: 42362 / (-31342) = -21181/15671"], "final_answer": "-21181/15671", "answer_type": "rational", "kind": "expression", "math_text": "(2573 - (-47489) + (-7700)) / (16930 + (-48272))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2573, \"b\": -47489, \"c\": -7700, \"d\": 16930, \"e\": -48272}", "seed": "4836672198212064564", "semantic_fingerprint": "sha256:810e12757331a7cc9f828f4783aff04dfc7122f4e9399aee57c94cafdcbe76f9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006723", "prompt": "What is -61816 - (-7683 + 25441) + (39760 + (-56932) * 84131)?", "solution_steps": ["Add: -7683 + 25441 = 17758", "Subtract: -61816 - 17758 = -79574", "Multiply: -56932 * 84131 = -4789746092", "Add: 39760 + (-4789746092) = -4789706332", "Add: -79574 + (-4789706332) = -4789785906"], "final_answer": "-4789785906", "answer_type": "integer", "kind": "expression", "math_text": "-61816 - (-7683 + 25441) + (39760 + (-56932) * 84131)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -61816, \"b\": -7683, \"c\": 25441, \"d\": 39760, \"e\": -56932, \"f\": 84131}", "seed": "16423432179054765425", "semantic_fingerprint": "sha256:d69c09276c28808d66ecb2de28e89ad495f6f843687cbe0b2a7fd7bbbbb683e0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006724", "prompt": "Solve the equation x - 9455 = 16(x + 5386) - 94116 for x.", "solution_steps": ["Expand: x - 9455 = 16x + 86176 - 94116", "Combine constants: x - 9455 = 16x - 7940", "Subtract 16x from both sides: -15x - 9455 = -7940", "Add 9455 to both sides: -15x = 1515", "Divide both sides by -15: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9455 = 16(x + 5386) - 94116", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9455, \"b\": 16, \"c\": 5386, \"e\": -94116, \"x\": -101}", "seed": "8246071761826297784", "semantic_fingerprint": "sha256:2dd318181c30b70ce5acb0ba209071a6947822fb70bd9b706db12fc39c4cca27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006725", "prompt": "Find x: 23(x - 3067) = -69414", "solution_steps": ["Expand: 23x - 70541 = -69414", "Add 70541 to both sides: 23x = 1127", "Divide both sides by 23: x = 49"], "final_answer": "49", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x - 3067) = -69414", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3067, \"d\": -69414, \"x\": 49}", "seed": "8877473904840696457", "semantic_fingerprint": "sha256:533cf6c6053d762dd1d644a64c391834a2341b0c595a8dde24a72f4c49328bcc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006726", "prompt": "Compute: -39260 - (-5765) - (-39541)", "solution_steps": ["Subtract: -39260 - (-5765) = -33495", "Subtract: -33495 - (-39541) = 6046"], "final_answer": "6046", "answer_type": "integer", "kind": "expression", "math_text": "-39260 - (-5765) - (-39541)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -39260, \"b\": -5765, \"c\": -39541}", "seed": "1512368683536211751", "semantic_fingerprint": "sha256:ff55eaf66025401b1825543675a14700ee3716efa45f941ffd3d9c04c3b708ca", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006727", "prompt": "Evaluate: (-72879 + 5794) * (-4855)", "solution_steps": ["Add: -72879 + 5794 = -67085", "Multiply: -67085 * (-4855) = 325697675"], "final_answer": "325697675", "answer_type": "integer", "kind": "expression", "math_text": "(-72879 + 5794) * (-4855)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -72879, \"b\": 5794, \"c\": -4855}", "seed": "8438792874654228356", "semantic_fingerprint": "sha256:ee3da2d9b22a5223dd96c8b2cc9e00bd13054bac0f77a2fe96f4138c852774ac", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006728", "prompt": "Solve the equation 21(x + 69784) - 13015 = 28(x + 3088) + 85005 for x.", "solution_steps": ["Expand: 21x + 1465464 - 13015 = 28(x + 3088) + 85005", "Expand: 21x + 1465464 - 13015 = 28x + 86464 + 85005", "Combine constants: 21x + 1452449 = 28x + 86464 + 85005", "Combine constants: 21x + 1452449 = 28x + 171469", "Subtract 28x from both sides: -7x + 1452449 = 171469", "Subtract 1452449 from both sides: -7x = -1280980", "Divide both sides by -7: x = 1280980/7"], "final_answer": "1280980/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "21(x + 69784) - 13015 = 28(x + 3088) + 85005", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 69784, \"c\": 13015, \"d\": 28, \"e\": 3088, \"f\": 85005}", "seed": "11083437427605544278", "semantic_fingerprint": "sha256:77146c7445928a9a28084fcee0815254098bc290ad3ee5fab8a2bfd70bb818c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006729", "prompt": "Compute: (-2912 + (-14916)) * (-4953 / 11636)", "solution_steps": ["Add: -2912 + (-14916) = -17828", "Divide: -4953 / 11636 = -4953/11636", "Multiply: -17828 * (-4953/11636) = 22075521/2909"], "final_answer": "22075521/2909", "answer_type": "rational", "kind": "expression", "math_text": "(-2912 + (-14916)) * (-4953 / 11636)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2912, \"b\": -14916, \"c\": -4953, \"d\": 11636}", "seed": "8480241937938117699", "semantic_fingerprint": "sha256:959317235760fd9119d066c9aac2d1c815ba7977a94697289d63d0c3876d369c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006730", "prompt": "Compute: -8268 * 13683", "solution_steps": ["Multiply: -8268 * 13683 = -113131044"], "final_answer": "-113131044", "answer_type": "integer", "kind": "expression", "math_text": "-8268 * 13683", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8268, \"b\": 13683}", "seed": "14954137296000490509", "semantic_fingerprint": "sha256:5fbbe9214e91a35d386cddcce17a3ff0fc8ba64c3162091325617366ccfdaeaf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006731", "prompt": "What is 8269 * (-36912) - (-19261 - 2333) - (-5632)?", "solution_steps": ["Multiply: 8269 * (-36912) = -305225328", "Subtract: -19261 - 2333 = -21594", "Subtract: -305225328 - (-21594) = -305203734", "Subtract: -305203734 - (-5632) = -305198102"], "final_answer": "-305198102", "answer_type": "integer", "kind": "expression", "math_text": "8269 * (-36912) - (-19261 - 2333) - (-5632)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (- n n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8269, \"b\": -36912, \"c\": -19261, \"d\": 2333, \"e\": -5632}", "seed": "5455397346867059063", "semantic_fingerprint": "sha256:6af708a64184466667bc31b8f920539a21c3917e7cfe9a7aef00d3ca94687a48", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006732", "prompt": "Evaluate: 2440 + 7760 * 6669", "solution_steps": ["Multiply: 7760 * 6669 = 51751440", "Add: 2440 + 51751440 = 51753880"], "final_answer": "51753880", "answer_type": "integer", "kind": "expression", "math_text": "2440 + 7760 * 6669", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2440, \"b\": 7760, \"c\": 6669}", "seed": "4869608905434395069", "semantic_fingerprint": "sha256:c679ca6ce5a8489467ed5efb4abf752db731a7bf71cb3219ba92cdfc83bee02f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006733", "prompt": "Evaluate: -9119 * (6817 + 66942)", "solution_steps": ["Add: 6817 + 66942 = 73759", "Multiply: -9119 * 73759 = -672608321"], "final_answer": "-672608321", "answer_type": "integer", "kind": "expression", "math_text": "-9119 * (6817 + 66942)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -9119, \"b\": 6817, \"c\": 66942}", "seed": "2813918455118348659", "semantic_fingerprint": "sha256:584274ab00ad01a4f097ad320a6ff96c29226808b3e94b8842c69446c76b0d95", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006734", "prompt": "Solve for x: 16x = 5730", "solution_steps": ["Divide both sides by 16: x = 2865/8"], "final_answer": "2865/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "16x = 5730", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 5730}", "seed": "6676359262837079117", "semantic_fingerprint": "sha256:ba00427a09bdb5705ac7ba54afde33d3d9e342b4191266bd0999425c359657e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006735", "prompt": "Compute: 5454 + 3846 / (-9175)", "solution_steps": ["Divide: 3846 / (-9175) = -3846/9175", "Add: 5454 + (-3846/9175) = 50036604/9175"], "final_answer": "50036604/9175", "answer_type": "rational", "kind": "expression", "math_text": "5454 + 3846 / (-9175)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5454, \"b\": 3846, \"c\": -9175}", "seed": "7962628474666796401", "semantic_fingerprint": "sha256:1d9159bcd27cc215b15c34c18c493448fe9bd5444a96018713f94176ea5cec46", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006736", "prompt": "What is 8004 / (-4950) * (6341 - (-4136))?", "solution_steps": ["Divide: 8004 / (-4950) = -1334/825", "Subtract: 6341 - (-4136) = 10477", "Multiply: (-1334/825) * 10477 = -13976318/825"], "final_answer": "-13976318/825", "answer_type": "rational", "kind": "expression", "math_text": "8004 / (-4950) * (6341 - (-4136))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 8004, \"b\": -4950, \"c\": 6341, \"d\": -4136}", "seed": "5463001713903529912", "semantic_fingerprint": "sha256:174c9e42857d3d6ab7e96ff105a90471bededfc7d298cff5c28594c4d2b606cf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006737", "prompt": "Calculate: -7308 / (-1583) - (-99380) + (-8829)", "solution_steps": ["Divide: -7308 / (-1583) = 7308/1583", "Subtract: 7308/1583 - (-99380) = 157325848/1583", "Add: 157325848/1583 + (-8829) = 143349541/1583"], "final_answer": "143349541/1583", "answer_type": "rational", "kind": "expression", "math_text": "-7308 / (-1583) - (-99380) + (-8829)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7308, \"b\": -1583, \"c\": -99380, \"d\": -8829}", "seed": "4354036051968769710", "semantic_fingerprint": "sha256:5bcbc547add6975c2d7ffde0990da223854c8a6a0dc57ecbac6dd6b77363adbe", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006738", "prompt": "Evaluate: -79432 * 6768 + 49856", "solution_steps": ["Multiply: -79432 * 6768 = -537595776", "Add: -537595776 + 49856 = -537545920"], "final_answer": "-537545920", "answer_type": "integer", "kind": "expression", "math_text": "-79432 * 6768 + 49856", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -79432, \"b\": 6768, \"c\": 49856}", "seed": "13980709891598366854", "semantic_fingerprint": "sha256:99de37d13ee1f98c22fee7f873aa9259504f6be4eee09f0438f92ac1c8cfe330", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006739", "prompt": "Calculate: -7690 - (-25905)", "solution_steps": ["Subtract: -7690 - (-25905) = 18215"], "final_answer": "18215", "answer_type": "integer", "kind": "expression", "math_text": "-7690 - (-25905)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7690, \"b\": -25905}", "seed": "16052203309032963610", "semantic_fingerprint": "sha256:7973cd932d580e0de58d8b2f6975253170439d6b895fa5d312cdbc4344198f11", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006740", "prompt": "Solve the equation x - 57636 = -57777 for x.", "solution_steps": ["Add 57636 to both sides: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 57636 = -57777", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 57636, \"c\": -57777, \"x\": -141}", "seed": "9628575974254360537", "semantic_fingerprint": "sha256:913191273e2fb4aef6acc18ce4320f2720b0c4f57a890a90d945183468068b3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006741", "prompt": "Find x: -39x + 71141 = 64238", "solution_steps": ["Subtract 71141 from both sides: -39x = -6903", "Divide both sides by -39: x = 177"], "final_answer": "177", "answer_type": "integer", "kind": "linear_equation", "math_text": "-39x + 71141 = 64238", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -39, \"b\": 71141, \"d\": 64238, \"x\": 177}", "seed": "13927078891899034157", "semantic_fingerprint": "sha256:1e3223684d627e46f57a4f4e3711f7111b3ecefc35804b1861be12732eaefde2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006742", "prompt": "What is -5865 * 20109 * 1296 + (9190 + (-6858))?", "solution_steps": ["Multiply: -5865 * 20109 = -117939285", "Multiply: -117939285 * 1296 = -152849313360", "Add: 9190 + (-6858) = 2332", "Add: -152849313360 + 2332 = -152849311028"], "final_answer": "-152849311028", "answer_type": "integer", "kind": "expression", "math_text": "-5865 * 20109 * 1296 + (9190 + (-6858))", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5865, \"b\": 20109, \"c\": 1296, \"d\": 9190, \"e\": -6858}", "seed": "7044275404834550765", "semantic_fingerprint": "sha256:255db57b9ae9158c15fc3963ac3e737da0eec2f6e5de1456d9c310e5117bd5a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006743", "prompt": "What is -6537 * (29776 / (-8733) + (-6606)) - (-29917)?", "solution_steps": ["Divide: 29776 / (-8733) = -29776/8733", "Add: -29776/8733 + (-6606) = -57719974/8733", "Multiply: -6537 * (-57719974/8733) = 125771823346/2911", "Subtract: 125771823346/2911 - (-29917) = 125858911733/2911"], "final_answer": "125858911733/2911", "answer_type": "rational", "kind": "expression", "math_text": "-6537 * (29776 / (-8733) + (-6606)) - (-29917)", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6537, \"b\": 29776, \"c\": -8733, \"d\": -6606, \"e\": -29917}", "seed": "7666798902590969491", "semantic_fingerprint": "sha256:f8da54039035fc93400a4c48d5b1cef116bcde38f6b3843f2daa69642ff61f0a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006744", "prompt": "Calculate: -5424 - (-31178)", "solution_steps": ["Subtract: -5424 - (-31178) = 25754"], "final_answer": "25754", "answer_type": "integer", "kind": "expression", "math_text": "-5424 - (-31178)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -5424, \"b\": -31178}", "seed": "6027883227733112454", "semantic_fingerprint": "sha256:5117b8ee319abcecc49b3ce8fb24988bc8acf491382a37f2ef98f059c46c0507", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006745", "prompt": "Find x: x - 4720 = -28(x + 1417) + 37827", "solution_steps": ["Expand: x - 4720 = -28x - 39676 + 37827", "Combine constants: x - 4720 = -28x - 1849", "Add 28x to both sides: 29x - 4720 = -1849", "Add 4720 to both sides: 29x = 2871", "Divide both sides by 29: x = 99"], "final_answer": "99", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4720 = -28(x + 1417) + 37827", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4720, \"b\": -28, \"c\": 1417, \"e\": 37827, \"x\": 99}", "seed": "3551645338966758582", "semantic_fingerprint": "sha256:3c8ffcab8635f6205e76e17f9b649c3ac1e8e22df88d740aa9432ece0a094b0b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006746", "prompt": "Compute: -32386 * (6940 / (-5400))", "solution_steps": ["Divide: 6940 / (-5400) = -347/270", "Multiply: -32386 * (-347/270) = 5618971/135"], "final_answer": "5618971/135", "answer_type": "rational", "kind": "expression", "math_text": "-32386 * (6940 / (-5400))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -32386, \"b\": 6940, \"c\": -5400}", "seed": "2826546214730799074", "semantic_fingerprint": "sha256:275f4f58a25672936f4f973acfcd74cd1fc43832df0a866da79e7d1047860d43", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006747", "prompt": "Compute: -7415 - 76733", "solution_steps": ["Subtract: -7415 - 76733 = -84148"], "final_answer": "-84148", "answer_type": "integer", "kind": "expression", "math_text": "-7415 - 76733", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7415, \"b\": 76733}", "seed": "9946697469286780983", "semantic_fingerprint": "sha256:c96731583a954416e2e84dcc219686383b3d7dac1aadb24d2fe90ee920fca16d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006748", "prompt": "Solve for x: 30x + 21899 = x + 20449", "solution_steps": ["Subtract x from both sides: 29x + 21899 = 20449", "Subtract 21899 from both sides: 29x = -1450", "Divide both sides by 29: x = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "linear_equation", "math_text": "30x + 21899 = x + 20449", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 30, \"b\": 21899, \"d\": 20449, \"x\": -50}", "seed": "2543225334110920141", "semantic_fingerprint": "sha256:1bca3671b52806eac02514563926cc12aa0cb8f077214094adf7804507efe0d0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006749", "prompt": "Calculate: 4454 - (-9303 + (5811 + 6764))", "solution_steps": ["Add: 5811 + 6764 = 12575", "Add: -9303 + 12575 = 3272", "Subtract: 4454 - 3272 = 1182"], "final_answer": "1182", "answer_type": "integer", "kind": "expression", "math_text": "4454 - (-9303 + (5811 + 6764))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4454, \"b\": -9303, \"c\": 5811, \"d\": 6764}", "seed": "9072741176639927205", "semantic_fingerprint": "sha256:57e0dea77368d7f77cb2ac9008cc2bc674642b2146792be58825187583de7bf5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006750", "prompt": "Compute: (-5675 + 49132) / 6957", "solution_steps": ["Add: -5675 + 49132 = 43457", "Divide: 43457 / 6957 = 43457/6957"], "final_answer": "43457/6957", "answer_type": "rational", "kind": "expression", "math_text": "(-5675 + 49132) / 6957", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5675, \"b\": 49132, \"c\": 6957}", "seed": "6598004000407392451", "semantic_fingerprint": "sha256:8d2eb1774d33b4513da0cc0ebb06b04865f3dcfb6e081c0d1a1afc15f56fe393", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006751", "prompt": "What value of x satisfies 22(x + 9482) = x?", "solution_steps": ["Expand: 22x + 208604 = x", "Subtract x from both sides: 21x + 208604 = 0", "Subtract 208604 from both sides: 21x = -208604", "Divide both sides by 21: x = -208604/21"], "final_answer": "-208604/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x + 9482) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 9482}", "seed": "3023431772638542822", "semantic_fingerprint": "sha256:402a4c65207d7ecb0d2354e1b52ae0d63462ab906c4a63c47a63d546f15b9134", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006752", "prompt": "Solve the equation 24(x + 9577) + 42223 = 30(x + 62618) for x.", "solution_steps": ["Expand: 24x + 229848 + 42223 = 30(x + 62618)", "Expand: 24x + 229848 + 42223 = 30x + 1878540", "Combine constants: 24x + 272071 = 30x + 1878540", "Subtract 30x from both sides: -6x + 272071 = 1878540", "Subtract 272071 from both sides: -6x = 1606469", "Divide both sides by -6: x = -1606469/6"], "final_answer": "-1606469/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 9577) + 42223 = 30(x + 62618)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 9577, \"c\": 42223, \"d\": 30, \"e\": 62618}", "seed": "110832285082509353", "semantic_fingerprint": "sha256:f0f109b4f2638ec2ff0f7b52e4e6a81feab1583f015f84089ac36f6d3d8d113d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006753", "prompt": "Evaluate: -5397 * 5849 - 6905", "solution_steps": ["Multiply: -5397 * 5849 = -31567053", "Subtract: -31567053 - 6905 = -31573958"], "final_answer": "-31573958", "answer_type": "integer", "kind": "expression", "math_text": "-5397 * 5849 - 6905", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5397, \"b\": 5849, \"c\": 6905}", "seed": "12380852311115508177", "semantic_fingerprint": "sha256:edcdc07e8ea84fc5120a86754d32905a840f0b4ff0df42f63de8f709a9350c5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006754", "prompt": "Evaluate: -73041 - 59023 * (-98383)", "solution_steps": ["Multiply: 59023 * (-98383) = -5806859809", "Subtract: -73041 - (-5806859809) = 5806786768"], "final_answer": "5806786768", "answer_type": "integer", "kind": "expression", "math_text": "-73041 - 59023 * (-98383)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -73041, \"b\": 59023, \"c\": -98383}", "seed": "5465303854660196984", "semantic_fingerprint": "sha256:35b6d8a03279f6b709591bff2623d548f07e33995bf131913d459cd42fdc03dd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006755", "prompt": "Compute: 7769 + 40203 / 38031 + (23477 - 21129 + 86545)", "solution_steps": ["Divide: 40203 / 38031 = 13401/12677", "Add: 7769 + 13401/12677 = 98501014/12677", "Subtract: 23477 - 21129 = 2348", "Add: 2348 + 86545 = 88893", "Add: 98501014/12677 + 88893 = 1225397575/12677"], "final_answer": "1225397575/12677", "answer_type": "rational", "kind": "expression", "math_text": "7769 + 40203 / 38031 + (23477 - 21129 + 86545)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 7769, \"b\": 40203, \"c\": 38031, \"d\": 23477, \"e\": 21129, \"f\": 86545}", "seed": "10336633075488600583", "semantic_fingerprint": "sha256:9de0eb6228d78b41fe0e0766de94e15ba79623b3ee30ce971e9bb0cbd4bbe56a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006756", "prompt": "Evaluate: 1156 - (-7681 + 4228)", "solution_steps": ["Add: -7681 + 4228 = -3453", "Subtract: 1156 - (-3453) = 4609"], "final_answer": "4609", "answer_type": "integer", "kind": "expression", "math_text": "1156 - (-7681 + 4228)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1156, \"b\": -7681, \"c\": 4228}", "seed": "12271309689180924030", "semantic_fingerprint": "sha256:2fcfbfa0aba891260b3bc4078d63d2d2ebd029c680cc5341e95fc24699cb3790", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006757", "prompt": "Evaluate: 5519 - 9122 * (-6348) + (-8344 + (-61941))", "solution_steps": ["Multiply: 9122 * (-6348) = -57906456", "Subtract: 5519 - (-57906456) = 57911975", "Add: -8344 + (-61941) = -70285", "Add: 57911975 + (-70285) = 57841690"], "final_answer": "57841690", "answer_type": "integer", "kind": "expression", "math_text": "5519 - 9122 * (-6348) + (-8344 + (-61941))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5519, \"b\": 9122, \"c\": -6348, \"d\": -8344, \"e\": -61941}", "seed": "3303540001042153498", "semantic_fingerprint": "sha256:f208668f37fee5c0b0fa79561a8d37701a0569fafd0a79b955191730af37cfbb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006758", "prompt": "Evaluate: -9743 + (21016 - (-7333 - 3855)) - 23921", "solution_steps": ["Subtract: -7333 - 3855 = -11188", "Subtract: 21016 - (-11188) = 32204", "Add: -9743 + 32204 = 22461", "Subtract: 22461 - 23921 = -1460"], "final_answer": "-1460", "answer_type": "integer", "kind": "expression", "math_text": "-9743 + (21016 - (-7333 - 3855)) - 23921", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9743, \"b\": 21016, \"c\": -7333, \"d\": 3855, \"e\": 23921}", "seed": "16335493639440734907", "semantic_fingerprint": "sha256:67d72722b3c4d36f051204c0a287595cf3b959764c1025446381de5ae8fd4407", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006759", "prompt": "Calculate: -53018 * 28359 / 8390", "solution_steps": ["Multiply: -53018 * 28359 = -1503537462", "Divide: -1503537462 / 8390 = -751768731/4195"], "final_answer": "-751768731/4195", "answer_type": "rational", "kind": "expression", "math_text": "-53018 * 28359 / 8390", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -53018, \"b\": 28359, \"c\": 8390}", "seed": "1009124303605219532", "semantic_fingerprint": "sha256:6853712410f754763eba89b7386b483da325c5cf4a413d198ee17c056ad927e3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006760", "prompt": "Calculate: -86588 - (-86096) - 8610", "solution_steps": ["Subtract: -86588 - (-86096) = -492", "Subtract: -492 - 8610 = -9102"], "final_answer": "-9102", "answer_type": "integer", "kind": "expression", "math_text": "-86588 - (-86096) - 8610", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86588, \"b\": -86096, \"c\": 8610}", "seed": "13336992652057290404", "semantic_fingerprint": "sha256:aff9531bb8646758e3c0e3ec5bffaf126ecee0451756f6c2c92d8545c75c7e1d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006761", "prompt": "Solve for x: 35(x + 40219) + 7474 = -24x", "solution_steps": ["Expand: 35x + 1407665 + 7474 = -24x", "Combine constants: 35x + 1415139 = -24x", "Add 24x to both sides: 59x + 1415139 = 0", "Subtract 1415139 from both sides: 59x = -1415139", "Divide both sides by 59: x = -1415139/59"], "final_answer": "-1415139/59", "answer_type": "rational", "kind": "linear_equation", "math_text": "35(x + 40219) + 7474 = -24x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 40219, \"c\": 7474, \"d\": -24}", "seed": "11502101006839602497", "semantic_fingerprint": "sha256:05a2245cee67461181b9ce1b7554d609f91fa04c45420c91739552e5881d61b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006762", "prompt": "What value of x satisfies -26(x + 35837) = -28(x + 67741) - 3777?", "solution_steps": ["Expand: -26x - 931762 = -28(x + 67741) - 3777", "Expand: -26x - 931762 = -28x - 1896748 - 3777", "Combine constants: -26x - 931762 = -28x - 1900525", "Add 28x to both sides: 2x - 931762 = -1900525", "Add 931762 to both sides: 2x = -968763", "Divide both sides by 2: x = -968763/2"], "final_answer": "-968763/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-26(x + 35837) = -28(x + 67741) - 3777", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 35837, \"c\": -28, \"d\": 67741, \"e\": 3777}", "seed": "13702112645218090626", "semantic_fingerprint": "sha256:3093ba338afce113ca931cfbc96d73a12393da09ab6e471be2d63a1627baef1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006763", "prompt": "Evaluate: 68528 * (-6895) / 6027", "solution_steps": ["Multiply: 68528 * (-6895) = -472500560", "Divide: -472500560 / 6027 = -67500080/861"], "final_answer": "-67500080/861", "answer_type": "rational", "kind": "expression", "math_text": "68528 * (-6895) / 6027", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 68528, \"b\": -6895, \"c\": 6027}", "seed": "2115871496573893150", "semantic_fingerprint": "sha256:2f7ce5fe30f645b6c027533399bb9bc1c6f3b13d13a8b3984d0451e609b3ac0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006764", "prompt": "Compute: -8008 + (-9803)", "solution_steps": ["Add: -8008 + (-9803) = -17811"], "final_answer": "-17811", "answer_type": "integer", "kind": "expression", "math_text": "-8008 + (-9803)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -8008, \"b\": -9803}", "seed": "2607299202306877484", "semantic_fingerprint": "sha256:1f22c8b1f62201d60abbb6cb3f877c4b31ba57a7145c5a99ca2fff7f7df49d9b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006765", "prompt": "Find x: x = 36(x - 84998)", "solution_steps": ["Expand: x = 36x - 3059928", "Subtract 36x from both sides: -35x = -3059928", "Divide both sides by -35: x = 3059928/35"], "final_answer": "3059928/35", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 36(x - 84998)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 84998}", "seed": "8177238600272415591", "semantic_fingerprint": "sha256:c90272556a03596f4f0aa9d04f33bd4f116ed8b73dfc83d4cadd8342637a9d0c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006766", "prompt": "Solve for x: 14x + 2665 = x + 9143", "solution_steps": ["Subtract x from both sides: 13x + 2665 = 9143", "Subtract 2665 from both sides: 13x = 6478", "Divide both sides by 13: x = 6478/13"], "final_answer": "6478/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14x + 2665 = x + 9143", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 2665, \"c\": 9143}", "seed": "11149379644917558368", "semantic_fingerprint": "sha256:e7ae0678de4eb41731faf43e63c01c2df0fe60c496d0f89263857e41281c06f6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006767", "prompt": "Solve for x: x = 26(x + 1543)", "solution_steps": ["Expand: x = 26x + 40118", "Subtract 26x from both sides: -25x = 40118", "Divide both sides by -25: x = -40118/25"], "final_answer": "-40118/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 26(x + 1543)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 1543}", "seed": "10493278616712413806", "semantic_fingerprint": "sha256:301d4fd15b6008310de80035a623bce5845b3e1254fbedffd215dbe92613d293", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006768", "prompt": "Evaluate: -4367 * 89625 + 39523", "solution_steps": ["Multiply: -4367 * 89625 = -391392375", "Add: -391392375 + 39523 = -391352852"], "final_answer": "-391352852", "answer_type": "integer", "kind": "expression", "math_text": "-4367 * 89625 + 39523", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4367, \"b\": 89625, \"c\": 39523}", "seed": "17971731074366674213", "semantic_fingerprint": "sha256:eb2c46a322ba3acf2344f589d7d2e2ca090096a6c91cb43145aae358f1edaa5f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006769", "prompt": "Compute: 6903 / (6036 + (-7865))", "solution_steps": ["Add: 6036 + (-7865) = -1829", "Divide: 6903 / (-1829) = -117/31"], "final_answer": "-117/31", "answer_type": "rational", "kind": "expression", "math_text": "6903 / (6036 + (-7865))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6903, \"b\": 6036, \"c\": -7865}", "seed": "17656199903851741354", "semantic_fingerprint": "sha256:67b04cae268a1a229032280a04900778504b5d4330a926f7bc966cccaaf2b30a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006770", "prompt": "Compute: 9920 - 47112", "solution_steps": ["Subtract: 9920 - 47112 = -37192"], "final_answer": "-37192", "answer_type": "integer", "kind": "expression", "math_text": "9920 - 47112", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 9920, \"b\": 47112}", "seed": "11121880353425382079", "semantic_fingerprint": "sha256:98f8192f78f9944aa1a88f2d77637cbc4b64e4d538442ba7cbe431ef11793446", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006771", "prompt": "Compute: 6555 - ((99721 - 6181) / 2712 - 52701)", "solution_steps": ["Subtract: 99721 - 6181 = 93540", "Divide: 93540 / 2712 = 7795/226", "Subtract: 7795/226 - 52701 = -11902631/226", "Subtract: 6555 - (-11902631/226) = 13384061/226"], "final_answer": "13384061/226", "answer_type": "rational", "kind": "expression", "math_text": "6555 - ((99721 - 6181) / 2712 - 52701)", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ (- n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6555, \"b\": 99721, \"c\": 6181, \"d\": 2712, \"e\": 52701}", "seed": "5028410686559423903", "semantic_fingerprint": "sha256:99e1f4aa88732b43ee99b7a5b7256444e395a623ad6c64cfe5e84cc7c05de3c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006772", "prompt": "Calculate: 6233 - (-72647) + (-76283 + 1220)", "solution_steps": ["Subtract: 6233 - (-72647) = 78880", "Add: -76283 + 1220 = -75063", "Add: 78880 + (-75063) = 3817"], "final_answer": "3817", "answer_type": "integer", "kind": "expression", "math_text": "6233 - (-72647) + (-76283 + 1220)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 6233, \"b\": -72647, \"c\": -76283, \"d\": 1220}", "seed": "14149660057478319060", "semantic_fingerprint": "sha256:01e789e1c3de4221c4588bf637d89891db918515477d6ea5121300ca51e14bb6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006773", "prompt": "Solve the equation -33(x - 4304) - 9423 = 28(x + 9507) - 5605 for x.", "solution_steps": ["Expand: -33x + 142032 - 9423 = 28(x + 9507) - 5605", "Expand: -33x + 142032 - 9423 = 28x + 266196 - 5605", "Combine constants: -33x + 132609 = 28x + 266196 - 5605", "Combine constants: -33x + 132609 = 28x + 260591", "Subtract 28x from both sides: -61x + 132609 = 260591", "Subtract 132609 from both sides: -61x = 127982", "Divide both sides by -61: x = -127982/61"], "final_answer": "-127982/61", "answer_type": "rational", "kind": "linear_equation", "math_text": "-33(x - 4304) - 9423 = 28(x + 9507) - 5605", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -33, \"b\": 4304, \"c\": 9423, \"d\": 28, \"e\": 9507, \"f\": 5605}", "seed": "11009964417387617538", "semantic_fingerprint": "sha256:8c15735470097074a0d3baa05448461a0f7848516bf1648d3b29f3945a8bc7df", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006774", "prompt": "Evaluate: -7309 / 4986 * 8290", "solution_steps": ["Divide: -7309 / 4986 = -7309/4986", "Multiply: (-7309/4986) * 8290 = -30295805/2493"], "final_answer": "-30295805/2493", "answer_type": "rational", "kind": "expression", "math_text": "-7309 / 4986 * 8290", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7309, \"b\": 4986, \"c\": 8290}", "seed": "6760008772863818532", "semantic_fingerprint": "sha256:5b6af9cd726ff942e71b5c703a5054caa523c552fb0463a85e9de6a560c416a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006775", "prompt": "What value of x satisfies 34(x - 2594) + 7879 = x + 1011?", "solution_steps": ["Expand: 34x - 88196 + 7879 = x + 1011", "Combine constants: 34x - 80317 = x + 1011", "Subtract x from both sides: 33x - 80317 = 1011", "Add 80317 to both sides: 33x = 81328", "Divide both sides by 33: x = 81328/33"], "final_answer": "81328/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x - 2594) + 7879 = x + 1011", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 2594, \"c\": 7879, \"d\": 1011}", "seed": "1524115970010391950", "semantic_fingerprint": "sha256:830fa654e0d12f3f8863490617e806c4cd97cef2f9e20cfb8bf2fb9cc64e85b6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006776", "prompt": "What is -8749 * (6770 / 8213)?", "solution_steps": ["Divide: 6770 / 8213 = 6770/8213", "Multiply: -8749 * (6770/8213) = -59230730/8213"], "final_answer": "-59230730/8213", "answer_type": "rational", "kind": "expression", "math_text": "-8749 * (6770 / 8213)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8749, \"b\": 6770, \"c\": 8213}", "seed": "16901038285113004582", "semantic_fingerprint": "sha256:014722ff69dc2b1b1b33945c11634d8c2a8300f879b0d00dc14c0ee7b5b5d117", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006777", "prompt": "Compute: -7014 - (79872 - 5086)", "solution_steps": ["Subtract: 79872 - 5086 = 74786", "Subtract: -7014 - 74786 = -81800"], "final_answer": "-81800", "answer_type": "integer", "kind": "expression", "math_text": "-7014 - (79872 - 5086)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -7014, \"b\": 79872, \"c\": 5086}", "seed": "14751556336725310964", "semantic_fingerprint": "sha256:f4e4048c0e232703fcbf3de419b4629380f7c35a99a4a8498c59eab2e4670f67", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006778", "prompt": "Evaluate: 12115 + (-4428) + (-96113) + (-56192 + 4536 * 5912)", "solution_steps": ["Add: 12115 + (-4428) = 7687", "Add: 7687 + (-96113) = -88426", "Multiply: 4536 * 5912 = 26816832", "Add: -56192 + 26816832 = 26760640", "Add: -88426 + 26760640 = 26672214"], "final_answer": "26672214", "answer_type": "integer", "kind": "expression", "math_text": "12115 + (-4428) + (-96113) + (-56192 + 4536 * 5912)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 12115, \"b\": -4428, \"c\": -96113, \"d\": -56192, \"e\": 4536, \"f\": 5912}", "seed": "10806423529406524704", "semantic_fingerprint": "sha256:b5fbd13cf90cf92337be12d209a45aabf8d5bffcea4fb1eed3c3bf2e5717be5a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006779", "prompt": "Evaluate: -5674 * (-6517 / (-9681))", "solution_steps": ["Divide: -6517 / (-9681) = 931/1383", "Multiply: -5674 * (931/1383) = -5282494/1383"], "final_answer": "-5282494/1383", "answer_type": "rational", "kind": "expression", "math_text": "-5674 * (-6517 / (-9681))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -5674, \"b\": -6517, \"c\": -9681}", "seed": "14721262337305113613", "semantic_fingerprint": "sha256:74ffdfa0f1e20831db9d975644c93ce4b18c7bdeff9f2b76ca12a9b188107b58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006780", "prompt": "Solve for x: -17(x - 5509) = 29x + 92641", "solution_steps": ["Expand: -17x + 93653 = 29x + 92641", "Subtract 29x from both sides: -46x + 93653 = 92641", "Subtract 93653 from both sides: -46x = -1012", "Divide both sides by -46: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "-17(x - 5509) = 29x + 92641", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 5509, \"c\": 29, \"e\": 92641, \"x\": 22}", "seed": "8515502845430656685", "semantic_fingerprint": "sha256:464366f6a64c16f65855e38d1e589aea52ee03e6a8c69a5c8878d55a15caa65b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006781", "prompt": "What is 3019 / (-8886)?", "solution_steps": ["Divide: 3019 / (-8886) = -3019/8886"], "final_answer": "-3019/8886", "answer_type": "rational", "kind": "expression", "math_text": "3019 / (-8886)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3019, \"b\": -8886}", "seed": "11460765253881839580", "semantic_fingerprint": "sha256:55afa04a52b1b3d0d514085647b786b7746d57f906393cbc49e8c8d8fe9fdafd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006782", "prompt": "What value of x satisfies x - 27516 = -17(x + 1167) - 9603?", "solution_steps": ["Expand: x - 27516 = -17x - 19839 - 9603", "Combine constants: x - 27516 = -17x - 29442", "Add 17x to both sides: 18x - 27516 = -29442", "Add 27516 to both sides: 18x = -1926", "Divide both sides by 18: x = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 27516 = -17(x + 1167) - 9603", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 27516, \"b\": -17, \"c\": 1167, \"e\": -9603, \"x\": -107}", "seed": "15848587358427078117", "semantic_fingerprint": "sha256:6334e6e9b91a613e6a8807151225e70b35a37334115e0a1383fa0b9dc87e6402", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006783", "prompt": "What is -3503 - 93614 + (-82046 + 4696)?", "solution_steps": ["Subtract: -3503 - 93614 = -97117", "Add: -82046 + 4696 = -77350", "Add: -97117 + (-77350) = -174467"], "final_answer": "-174467", "answer_type": "integer", "kind": "expression", "math_text": "-3503 - 93614 + (-82046 + 4696)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -3503, \"b\": 93614, \"c\": -82046, \"d\": 4696}", "seed": "10326321374934776464", "semantic_fingerprint": "sha256:18a79e21a04a5f963244df646ba2c69281a5bd12f7c78c47ed707262b9396872", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006784", "prompt": "Calculate: -7930 * (4375 + (-8650)) * (-50787 / (-98204 + (-1118)))", "solution_steps": ["Add: 4375 + (-8650) = -4275", "Multiply: -7930 * (-4275) = 33900750", "Add: -98204 + (-1118) = -99322", "Divide: -50787 / (-99322) = 50787/99322", "Multiply: 33900750 * (50787/99322) = 860858695125/49661"], "final_answer": "860858695125/49661", "answer_type": "rational", "kind": "expression", "math_text": "-7930 * (4375 + (-8650)) * (-50787 / (-98204 + (-1118)))", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -7930, \"b\": 4375, \"c\": -8650, \"d\": -50787, \"e\": -98204, \"f\": -1118}", "seed": "8794831538857829082", "semantic_fingerprint": "sha256:4bd8a3e1511ef656af511caa4751984e9e169c1c751a2bbf516577bf4aab5718", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006785", "prompt": "Calculate: 44119 / 7556 - (4110 + (32852 + (-57598 - (-40193))))", "solution_steps": ["Divide: 44119 / 7556 = 44119/7556", "Subtract: -57598 - (-40193) = -17405", "Add: 32852 + (-17405) = 15447", "Add: 4110 + 15447 = 19557", "Subtract: 44119/7556 - 19557 = -147728573/7556"], "final_answer": "-147728573/7556", "answer_type": "rational", "kind": "expression", "math_text": "44119 / 7556 - (4110 + (32852 + (-57598 - (-40193))))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ n (+ n (- n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 44119, \"b\": 7556, \"c\": 4110, \"d\": 32852, \"e\": -57598, \"f\": -40193}", "seed": "260829494580992020", "semantic_fingerprint": "sha256:facb4522a978d1f46e9aeb3f45799899c48b5f8569f05b4fb5c1e8d8bacb4285", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006786", "prompt": "Calculate: 2012 - (-3962) + (-4544)", "solution_steps": ["Subtract: 2012 - (-3962) = 5974", "Add: 5974 + (-4544) = 1430"], "final_answer": "1430", "answer_type": "integer", "kind": "expression", "math_text": "2012 - (-3962) + (-4544)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2012, \"b\": -3962, \"c\": -4544}", "seed": "11329443972409372062", "semantic_fingerprint": "sha256:59aaa1d5101dce9944b0ee46eaf7689d45d64a70338806c8f93c08b4377fa925", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006787", "prompt": "Evaluate: -9253 - 95305", "solution_steps": ["Subtract: -9253 - 95305 = -104558"], "final_answer": "-104558", "answer_type": "integer", "kind": "expression", "math_text": "-9253 - 95305", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -9253, \"b\": 95305}", "seed": "10800138793362070668", "semantic_fingerprint": "sha256:62d664d39ec01c84d02498ca344bf87f34be950da880687bd6316b0a3d3c4d10", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006788", "prompt": "What value of x satisfies 15(x + 9498) = 18(x - 6819) - 53244?", "solution_steps": ["Expand: 15x + 142470 = 18(x - 6819) - 53244", "Expand: 15x + 142470 = 18x - 122742 - 53244", "Combine constants: 15x + 142470 = 18x - 175986", "Subtract 18x from both sides: -3x + 142470 = -175986", "Subtract 142470 from both sides: -3x = -318456", "Divide both sides by -3: x = 106152"], "final_answer": "106152", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x + 9498) = 18(x - 6819) - 53244", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 9498, \"c\": 18, \"d\": 6819, \"e\": 53244}", "seed": "11803733900719969302", "semantic_fingerprint": "sha256:469032d4353d6b6f6a8d3a3973ba3eea4a7b094acb98c74813e1508167732c50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006789", "prompt": "What is -5857 / 78729 + 5415 * (-1975)?", "solution_steps": ["Divide: -5857 / 78729 = -5857/78729", "Multiply: 5415 * (-1975) = -10694625", "Add: -5857/78729 + (-10694625) = -841977137482/78729"], "final_answer": "-841977137482/78729", "answer_type": "rational", "kind": "expression", "math_text": "-5857 / 78729 + 5415 * (-1975)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5857, \"b\": 78729, \"c\": 5415, \"d\": -1975}", "seed": "9843937595288489768", "semantic_fingerprint": "sha256:9d5ad451739a59294dae116f5599e9b50eeb44313e3b16057196b3e8a3cab1a0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006790", "prompt": "Compute: 3421 * 9771", "solution_steps": ["Multiply: 3421 * 9771 = 33426591"], "final_answer": "33426591", "answer_type": "integer", "kind": "expression", "math_text": "3421 * 9771", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3421, \"b\": 9771}", "seed": "11562016834731271560", "semantic_fingerprint": "sha256:15c187548c05a8809f355bab6ab3a7ee532dfc838708e30858aecb57b2d02996", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006791", "prompt": "What is 5172 - (-6480)?", "solution_steps": ["Subtract: 5172 - (-6480) = 11652"], "final_answer": "11652", "answer_type": "integer", "kind": "expression", "math_text": "5172 - (-6480)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5172, \"b\": -6480}", "seed": "5789842143382634484", "semantic_fingerprint": "sha256:00c702eea2ed3a752de5113685b5fe1edf72c906845ecd50e70e9f2635a62db7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006792", "prompt": "Compute: -4545 + (-66734) / (-5236 / (-4811))", "solution_steps": ["Divide: -5236 / (-4811) = 308/283", "Divide: -66734 / (308/283) = -9442861/154", "Add: -4545 + (-9442861/154) = -10142791/154"], "final_answer": "-10142791/154", "answer_type": "rational", "kind": "expression", "math_text": "-4545 + (-66734) / (-5236 / (-4811))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -4545, \"b\": -66734, \"c\": -5236, \"d\": -4811}", "seed": "15223923585337470249", "semantic_fingerprint": "sha256:d0a6cd227b992b600d0efc0ca5ef735682635993bf523d0f1ea5f55da2993b71", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006793", "prompt": "Calculate: 2696 - 9134", "solution_steps": ["Subtract: 2696 - 9134 = -6438"], "final_answer": "-6438", "answer_type": "integer", "kind": "expression", "math_text": "2696 - 9134", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2696, \"b\": 9134}", "seed": "12396250638275010023", "semantic_fingerprint": "sha256:21e1e42f667b213c49652d1abfc2526adc5f16f131b878a64af31cbe4013138f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006794", "prompt": "Compute: -8885 + (46271 + (-6711)) / (-7899 / (-63753)) + 6400", "solution_steps": ["Add: 46271 + (-6711) = 39560", "Divide: -7899 / (-63753) = 2633/21251", "Divide: 39560 / (2633/21251) = 840689560/2633", "Add: -8885 + 840689560/2633 = 817295355/2633", "Add: 817295355/2633 + 6400 = 834146555/2633"], "final_answer": "834146555/2633", "answer_type": "rational", "kind": "expression", "math_text": "-8885 + (46271 + (-6711)) / (-7899 / (-63753)) + 6400", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ (+ n n) (/ n n))) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -8885, \"b\": 46271, \"c\": -6711, \"d\": -7899, \"e\": -63753, \"f\": 6400}", "seed": "14180958590248052568", "semantic_fingerprint": "sha256:7235adc052d87f6005a1001a23a7fb2fd8c300b2748b87a3fa15dd3c50be4b58", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006795", "prompt": "Solve for x: x - 58705 = 32(x - 1882)", "solution_steps": ["Expand: x - 58705 = 32x - 60224", "Subtract 32x from both sides: -31x - 58705 = -60224", "Add 58705 to both sides: -31x = -1519", "Divide both sides by -31: x = 49"], "final_answer": "49", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 58705 = 32(x - 1882)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 1882, \"d\": -58705, \"x\": 49}", "seed": "14832948002211847099", "semantic_fingerprint": "sha256:e017c1e7538dd145c97db346eea25546056e2ebc648d5aacaff477e9daff2122", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006796", "prompt": "Calculate: 6636 + (97532 + 4282)", "solution_steps": ["Add: 97532 + 4282 = 101814", "Add: 6636 + 101814 = 108450"], "final_answer": "108450", "answer_type": "integer", "kind": "expression", "math_text": "6636 + (97532 + 4282)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6636, \"b\": 97532, \"c\": 4282}", "seed": "16055185819822974462", "semantic_fingerprint": "sha256:1c6161b9a4c8337d8e5eb69ba196a78b3cb81a363fdab2274d24008773e0cc15", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006797", "prompt": "Solve for x: 21(x + 72783) = 28(x - 59352)", "solution_steps": ["Expand: 21x + 1528443 = 28(x - 59352)", "Expand: 21x + 1528443 = 28x - 1661856", "Subtract 28x from both sides: -7x + 1528443 = -1661856", "Subtract 1528443 from both sides: -7x = -3190299", "Divide both sides by -7: x = 455757"], "final_answer": "455757", "answer_type": "integer", "kind": "linear_equation", "math_text": "21(x + 72783) = 28(x - 59352)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 72783, \"c\": 28, \"d\": 59352}", "seed": "4818625916372140543", "semantic_fingerprint": "sha256:af34111e0b58810c52b5ac09a4116f45beb653d17f6d3da2e4b78f665a6b7948", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006798", "prompt": "Evaluate: (-2562 - (-1165)) / (-7487) * 55343", "solution_steps": ["Subtract: -2562 - (-1165) = -1397", "Divide: -1397 / (-7487) = 1397/7487", "Multiply: (1397/7487) * 55343 = 77314171/7487"], "final_answer": "77314171/7487", "answer_type": "rational", "kind": "expression", "math_text": "(-2562 - (-1165)) / (-7487) * 55343", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2562, \"b\": -1165, \"c\": -7487, \"d\": 55343}", "seed": "11745796590857348385", "semantic_fingerprint": "sha256:0f78472b38344d51fc56f2cda198f85430d6f8b5faccbebbc427da13052a961f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006799", "prompt": "Calculate: 1326 * 4809 - 6991", "solution_steps": ["Multiply: 1326 * 4809 = 6376734", "Subtract: 6376734 - 6991 = 6369743"], "final_answer": "6369743", "answer_type": "integer", "kind": "expression", "math_text": "1326 * 4809 - 6991", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1326, \"b\": 4809, \"c\": 6991}", "seed": "3492880893476969968", "semantic_fingerprint": "sha256:8aa9774bbaa619588a40d9445a2e5a1b34f5158f3487b20481e77b45d3edc887", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006800", "prompt": "What is (-4703 + 8897) * (-25347)?", "solution_steps": ["Add: -4703 + 8897 = 4194", "Multiply: 4194 * (-25347) = -106305318"], "final_answer": "-106305318", "answer_type": "integer", "kind": "expression", "math_text": "(-4703 + 8897) * (-25347)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4703, \"b\": 8897, \"c\": -25347}", "seed": "4880135531876413088", "semantic_fingerprint": "sha256:2b22359ab22a1152f2b09332255122d7b267a530f633f2af3d6761a886c70650", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006801", "prompt": "Find x: 29x - 4279 = -5845", "solution_steps": ["Add 4279 to both sides: 29x = -1566", "Divide both sides by 29: x = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "linear_equation", "math_text": "29x - 4279 = -5845", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 4279, \"d\": -5845, \"x\": -54}", "seed": "1113826158634536133", "semantic_fingerprint": "sha256:ba1ae113e547a2b3e764fb8d520fb96a2b5d47c12e2a39830ff3c699b79a33aa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006802", "prompt": "Calculate: 40591 + 68326", "solution_steps": ["Add: 40591 + 68326 = 108917"], "final_answer": "108917", "answer_type": "integer", "kind": "expression", "math_text": "40591 + 68326", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 40591, \"b\": 68326}", "seed": "12050574680880201282", "semantic_fingerprint": "sha256:77f791f927ef2d536234c4fd5e34b558b722ec64b38eb7b544cf93451eb02886", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006803", "prompt": "What is 4808 / (-1303) + (-1100 * (-4703) - 7369)?", "solution_steps": ["Divide: 4808 / (-1303) = -4808/1303", "Multiply: -1100 * (-4703) = 5173300", "Subtract: 5173300 - 7369 = 5165931", "Add: -4808/1303 + 5165931 = 6731203285/1303"], "final_answer": "6731203285/1303", "answer_type": "rational", "kind": "expression", "math_text": "4808 / (-1303) + (-1100 * (-4703) - 7369)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4808, \"b\": -1303, \"c\": -1100, \"d\": -4703, \"e\": 7369}", "seed": "5753510470877593614", "semantic_fingerprint": "sha256:bbfa01410bfcde44ecd1bf752394c73741e8e8a4109cb6c8f9dd6dc4a08b6595", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006804", "prompt": "Compute: 40865 * (1704 * 9489 - 84809)", "solution_steps": ["Multiply: 1704 * 9489 = 16169256", "Subtract: 16169256 - 84809 = 16084447", "Multiply: 40865 * 16084447 = 657290926655"], "final_answer": "657290926655", "answer_type": "integer", "kind": "expression", "math_text": "40865 * (1704 * 9489 - 84809)", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 40865, \"b\": 1704, \"c\": 9489, \"d\": 84809}", "seed": "15152923955880036418", "semantic_fingerprint": "sha256:861be326e8ef17b2bf35a9b4d52251e7586452d530cec26f840041af56df809b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006805", "prompt": "What value of x satisfies 21x = 24x?", "solution_steps": ["Subtract 24x from both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = 24x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 24}", "seed": "1195983929296167592", "semantic_fingerprint": "sha256:0597a25582bb0490b6e9e44139ee3827c1f59471512295a66031920a128bbda1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006806", "prompt": "Calculate: 42934 * (-9829) + 5412 + (-6306) * (-3421)", "solution_steps": ["Multiply: 42934 * (-9829) = -421998286", "Add: -421998286 + 5412 = -421992874", "Multiply: -6306 * (-3421) = 21572826", "Add: -421992874 + 21572826 = -400420048"], "final_answer": "-400420048", "answer_type": "integer", "kind": "expression", "math_text": "42934 * (-9829) + 5412 + (-6306) * (-3421)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42934, \"b\": -9829, \"c\": 5412, \"d\": -6306, \"e\": -3421}", "seed": "373410411667762882", "semantic_fingerprint": "sha256:29537e6ba269c575587138f759a56a8e5322edd6d89687d9a53a55f65bd846bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006807", "prompt": "Find x: -22(x - 6892) = x + 5344", "solution_steps": ["Expand: -22x + 151624 = x + 5344", "Subtract x from both sides: -23x + 151624 = 5344", "Subtract 151624 from both sides: -23x = -146280", "Divide both sides by -23: x = 6360"], "final_answer": "6360", "answer_type": "integer", "kind": "linear_equation", "math_text": "-22(x - 6892) = x + 5344", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -22, \"b\": 6892, \"c\": 5344}", "seed": "6373927139171893674", "semantic_fingerprint": "sha256:9813f4a6323178ae0776904d62d6b15ab68fef8b1734b57611ebfd9e05323ddb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006808", "prompt": "What is 61613 - (-6964) + (-9835)?", "solution_steps": ["Subtract: 61613 - (-6964) = 68577", "Add: 68577 + (-9835) = 58742"], "final_answer": "58742", "answer_type": "integer", "kind": "expression", "math_text": "61613 - (-6964) + (-9835)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 61613, \"b\": -6964, \"c\": -9835}", "seed": "12755450057126156021", "semantic_fingerprint": "sha256:7344742181caadc19f95bd03bb464713219d62aeb3aa5590be75a022a5ff2fcd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006809", "prompt": "What value of x satisfies 18x = 24(x + 5481)?", "solution_steps": ["Expand: 18x = 24x + 131544", "Subtract 24x from both sides: -6x = 131544", "Divide both sides by -6: x = -21924"], "final_answer": "-21924", "answer_type": "integer", "kind": "linear_equation", "math_text": "18x = 24(x + 5481)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 18, \"b\": 24, \"c\": 5481}", "seed": "15097338960636641347", "semantic_fingerprint": "sha256:b3637e669721cb8a81238d37f49047ac99e8ac51c354b708430a0127128c493e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006810", "prompt": "Compute: -86344 + (-4385)", "solution_steps": ["Add: -86344 + (-4385) = -90729"], "final_answer": "-90729", "answer_type": "integer", "kind": "expression", "math_text": "-86344 + (-4385)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86344, \"b\": -4385}", "seed": "7450598742829005272", "semantic_fingerprint": "sha256:fd3a6ca008cc5f7fad5f1e1b89f7e5c5a213043fc4bf17633098e8233de72ca9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006811", "prompt": "Calculate: (1348 - (-9979) - 4759) * (42938 - 3807 + 36791)", "solution_steps": ["Subtract: 1348 - (-9979) = 11327", "Subtract: 11327 - 4759 = 6568", "Subtract: 42938 - 3807 = 39131", "Add: 39131 + 36791 = 75922", "Multiply: 6568 * 75922 = 498655696"], "final_answer": "498655696", "answer_type": "integer", "kind": "expression", "math_text": "(1348 - (-9979) - 4759) * (42938 - 3807 + 36791)", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 1348, \"b\": -9979, \"c\": 4759, \"d\": 42938, \"e\": 3807, \"f\": 36791}", "seed": "2561083977606424982", "semantic_fingerprint": "sha256:cae608b6b1675dc3b188c18e841bd9bc4cf5688524da7c3dcd22520c2b2d283f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006812", "prompt": "What value of x satisfies 32x + 31795 = -17x + 26454?", "solution_steps": ["Add 17x to both sides: 49x + 31795 = 26454", "Subtract 31795 from both sides: 49x = -5341", "Divide both sides by 49: x = -109"], "final_answer": "-109", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x + 31795 = -17x + 26454", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 31795, \"c\": -17, \"e\": 26454, \"x\": -109}", "seed": "15968759396381478829", "semantic_fingerprint": "sha256:9f8ff1d9b4660fa816bea1d0891b12fb750ff7ce30548282bee8886883d4f0ed", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006813", "prompt": "What value of x satisfies x + 4447 = 8097?", "solution_steps": ["Subtract 4447 from both sides: x = 3650"], "final_answer": "3650", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4447 = 8097", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4447, \"b\": 8097}", "seed": "13315185130010276025", "semantic_fingerprint": "sha256:0626763f0197ae6f398eabebd546388dd06ab41fddec8371e5815ecc796020dc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006814", "prompt": "What is 99220 * (-2599 + 7476 - (-4092) / (-7086))?", "solution_steps": ["Add: -2599 + 7476 = 4877", "Divide: -4092 / (-7086) = 682/1181", "Subtract: 4877 - 682/1181 = 5759055/1181", "Multiply: 99220 * (5759055/1181) = 571413437100/1181"], "final_answer": "571413437100/1181", "answer_type": "rational", "kind": "expression", "math_text": "99220 * (-2599 + 7476 - (-4092) / (-7086))", "variable": null, "family": "expression_4op", "shape": "(* n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 99220, \"b\": -2599, \"c\": 7476, \"d\": -4092, \"e\": -7086}", "seed": "18425916233335981060", "semantic_fingerprint": "sha256:7a3b1e7c2105b1eb6a0314c7eda86eed6eaa4215f0ea6151325a1cfc552ad679", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006815", "prompt": "Evaluate: -45974 - 8199 / 1393", "solution_steps": ["Divide: 8199 / 1393 = 8199/1393", "Subtract: -45974 - 8199/1393 = -64049981/1393"], "final_answer": "-64049981/1393", "answer_type": "rational", "kind": "expression", "math_text": "-45974 - 8199 / 1393", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45974, \"b\": 8199, \"c\": 1393}", "seed": "10157839727551730513", "semantic_fingerprint": "sha256:a60400f1f57e1209080bfb8efc7e827ca54679c102ac11df11a9525ac98e7c30", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006816", "prompt": "What value of x satisfies -38(x - 88183) = 31x?", "solution_steps": ["Expand: -38x + 3350954 = 31x", "Subtract 31x from both sides: -69x + 3350954 = 0", "Subtract 3350954 from both sides: -69x = -3350954", "Divide both sides by -69: x = 3350954/69"], "final_answer": "3350954/69", "answer_type": "rational", "kind": "linear_equation", "math_text": "-38(x - 88183) = 31x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 88183, \"c\": 31}", "seed": "2054063711475251370", "semantic_fingerprint": "sha256:7d4b8e7ac32080f6b117a83e4464fa9c5585d035dcdebcd0613dc7fe2e7c1819", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006817", "prompt": "What is 4463 / (6600 - (-6608)) * 7996?", "solution_steps": ["Subtract: 6600 - (-6608) = 13208", "Divide: 4463 / 13208 = 4463/13208", "Multiply: (4463/13208) * 7996 = 8921537/3302"], "final_answer": "8921537/3302", "answer_type": "rational", "kind": "expression", "math_text": "4463 / (6600 - (-6608)) * 7996", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4463, \"b\": 6600, \"c\": -6608, \"d\": 7996}", "seed": "7235101829904498454", "semantic_fingerprint": "sha256:ecb072f8b86305c2e378298894dd091a24d3af8fd0435f484ba6162e8c37978e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006818", "prompt": "Compute: 42753 * (-7639) + 93221 - 8032 + (-8894)", "solution_steps": ["Multiply: 42753 * (-7639) = -326590167", "Add: -326590167 + 93221 = -326496946", "Subtract: -326496946 - 8032 = -326504978", "Add: -326504978 + (-8894) = -326513872"], "final_answer": "-326513872", "answer_type": "integer", "kind": "expression", "math_text": "42753 * (-7639) + 93221 - 8032 + (-8894)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 42753, \"b\": -7639, \"c\": 93221, \"d\": 8032, \"e\": -8894}", "seed": "1645741523371006492", "semantic_fingerprint": "sha256:6489af085e564320b4fd6d473f7d99b380bc4d90079690e3106e2795ab335467", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006819", "prompt": "Solve the equation 20x + 7706 = x + 8542 for x.", "solution_steps": ["Subtract x from both sides: 19x + 7706 = 8542", "Subtract 7706 from both sides: 19x = 836", "Divide both sides by 19: x = 44"], "final_answer": "44", "answer_type": "integer", "kind": "linear_equation", "math_text": "20x + 7706 = x + 8542", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 20, \"b\": 7706, \"d\": 8542, \"x\": 44}", "seed": "870284795590490963", "semantic_fingerprint": "sha256:a82786aa26c0f56c91969e2360c176cd5eec24702cbb07132d34b3beec72b667", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006820", "prompt": "Evaluate: -1105 + (-46121)", "solution_steps": ["Add: -1105 + (-46121) = -47226"], "final_answer": "-47226", "answer_type": "integer", "kind": "expression", "math_text": "-1105 + (-46121)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1105, \"b\": -46121}", "seed": "1723380972776887148", "semantic_fingerprint": "sha256:9f4eddb6edec88292daaad2b334cfa5fa26c5d1e8527c2c2be9b36d552ad4acc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006821", "prompt": "Compute: 3964 + 69794 / 3787", "solution_steps": ["Divide: 69794 / 3787 = 69794/3787", "Add: 3964 + 69794/3787 = 15081462/3787"], "final_answer": "15081462/3787", "answer_type": "rational", "kind": "expression", "math_text": "3964 + 69794 / 3787", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3964, \"b\": 69794, \"c\": 3787}", "seed": "13225966130051998276", "semantic_fingerprint": "sha256:994ed547112799f5be8b9737dd9e45226415d2ab5dd5f2f954ce7a5840be1721", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006822", "prompt": "Calculate: 5440 - (-2186 - (-9148) / 6137)", "solution_steps": ["Divide: -9148 / 6137 = -9148/6137", "Subtract: -2186 - (-9148/6137) = -13406334/6137", "Subtract: 5440 - (-13406334/6137) = 46791614/6137"], "final_answer": "46791614/6137", "answer_type": "rational", "kind": "expression", "math_text": "5440 - (-2186 - (-9148) / 6137)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5440, \"b\": -2186, \"c\": -9148, \"d\": 6137}", "seed": "1417210314230302872", "semantic_fingerprint": "sha256:34df8d1cade11e02cf82ba4ed2c3345e9857bab8c10827a47f363cc902f0f7e6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006823", "prompt": "Solve the equation x + 38823 = -19(x - 2197) for x.", "solution_steps": ["Expand: x + 38823 = -19x + 41743", "Add 19x to both sides: 20x + 38823 = 41743", "Subtract 38823 from both sides: 20x = 2920", "Divide both sides by 20: x = 146"], "final_answer": "146", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 38823 = -19(x - 2197)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -19, \"b\": 2197, \"d\": 38823, \"x\": 146}", "seed": "15142896542823727569", "semantic_fingerprint": "sha256:e936bea4a8ee368bbe60e16abdec10dfaffe27434ad71ed7c3e62be946c66389", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006824", "prompt": "Calculate: 8151 - (-2162) - (-3442)", "solution_steps": ["Subtract: 8151 - (-2162) = 10313", "Subtract: 10313 - (-3442) = 13755"], "final_answer": "13755", "answer_type": "integer", "kind": "expression", "math_text": "8151 - (-2162) - (-3442)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8151, \"b\": -2162, \"c\": -3442}", "seed": "5526409807168104821", "semantic_fingerprint": "sha256:5c9005edc2929d09ccf6e50810cd46a6bc626a96a214183211487789efeb12c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006825", "prompt": "Evaluate: -1500 - (-72808)", "solution_steps": ["Subtract: -1500 - (-72808) = 71308"], "final_answer": "71308", "answer_type": "integer", "kind": "expression", "math_text": "-1500 - (-72808)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1500, \"b\": -72808}", "seed": "17835599326988028963", "semantic_fingerprint": "sha256:60fe72dfe013fd49b0afa199b0d182a0bfd2a9f20ad582b62347af41aa2dde8a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006826", "prompt": "Evaluate: 2038 / (-5915) + (-4737) - 5608", "solution_steps": ["Divide: 2038 / (-5915) = -2038/5915", "Add: -2038/5915 + (-4737) = -28021393/5915", "Subtract: -28021393/5915 - 5608 = -61192713/5915"], "final_answer": "-61192713/5915", "answer_type": "rational", "kind": "expression", "math_text": "2038 / (-5915) + (-4737) - 5608", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 2038, \"b\": -5915, \"c\": -4737, \"d\": 5608}", "seed": "2897482143087810933", "semantic_fingerprint": "sha256:6f3b8bb52a752b546393644f41f0d4d7bad20e5326d65fb4ffac70b66705763d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006827", "prompt": "Solve the equation -34(x - 9436) = 13(x - 3848) for x.", "solution_steps": ["Expand: -34x + 320824 = 13(x - 3848)", "Expand: -34x + 320824 = 13x - 50024", "Subtract 13x from both sides: -47x + 320824 = -50024", "Subtract 320824 from both sides: -47x = -370848", "Divide both sides by -47: x = 370848/47"], "final_answer": "370848/47", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34(x - 9436) = 13(x - 3848)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 9436, \"c\": 13, \"d\": 3848}", "seed": "8489450063002254246", "semantic_fingerprint": "sha256:9523d47d81afd042cd548ac6757221c001713963bc839edf43642179d1a63780", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006828", "prompt": "What is -86769 - (-62952)?", "solution_steps": ["Subtract: -86769 - (-62952) = -23817"], "final_answer": "-23817", "answer_type": "integer", "kind": "expression", "math_text": "-86769 - (-62952)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -86769, \"b\": -62952}", "seed": "6583105299539315033", "semantic_fingerprint": "sha256:a70058f269724df565fd4b672bd592e13d3468a134ead201b00d36a7fe4606ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006829", "prompt": "Solve the equation 22(x - 49501) - 97183 = 20(x - 9831) + 9912 for x.", "solution_steps": ["Expand: 22x - 1089022 - 97183 = 20(x - 9831) + 9912", "Expand: 22x - 1089022 - 97183 = 20x - 196620 + 9912", "Combine constants: 22x - 1186205 = 20x - 196620 + 9912", "Combine constants: 22x - 1186205 = 20x - 186708", "Subtract 20x from both sides: 2x - 1186205 = -186708", "Add 1186205 to both sides: 2x = 999497", "Divide both sides by 2: x = 999497/2"], "final_answer": "999497/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "22(x - 49501) - 97183 = 20(x - 9831) + 9912", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 22, \"b\": 49501, \"c\": 97183, \"d\": 20, \"e\": 9831, \"f\": 9912}", "seed": "15708492617752264731", "semantic_fingerprint": "sha256:b62d5b259e441cb3bad863c19cd2f870b4d7a98f3d34571c9a46488ca16195bd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006830", "prompt": "Compute: -54401 * 3282", "solution_steps": ["Multiply: -54401 * 3282 = -178544082"], "final_answer": "-178544082", "answer_type": "integer", "kind": "expression", "math_text": "-54401 * 3282", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -54401, \"b\": 3282}", "seed": "3748810444751507347", "semantic_fingerprint": "sha256:32f54b1b6913dfad27acb94b5bce34ca53dda77d73598375d3ac49c394a6844a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006831", "prompt": "Evaluate: 8523 / (-1583)", "solution_steps": ["Divide: 8523 / (-1583) = -8523/1583"], "final_answer": "-8523/1583", "answer_type": "rational", "kind": "expression", "math_text": "8523 / (-1583)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8523, \"b\": -1583}", "seed": "15507217747438578696", "semantic_fingerprint": "sha256:4955bbbebd3ecfbc23b59f4e18ad2e45141c1895a00bfe2625b00b24b90ab39a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006832", "prompt": "Evaluate: 8657 / (77368 + 8327)", "solution_steps": ["Add: 77368 + 8327 = 85695", "Divide: 8657 / 85695 = 8657/85695"], "final_answer": "8657/85695", "answer_type": "rational", "kind": "expression", "math_text": "8657 / (77368 + 8327)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8657, \"b\": 77368, \"c\": 8327}", "seed": "4546980190504012029", "semantic_fingerprint": "sha256:5a1f6a43cc47abb26750ab73a9366416102c23fd143998d945ec0fed8f3f6fc2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006833", "prompt": "Find x: -34x = 33(x + 2119)", "solution_steps": ["Expand: -34x = 33x + 69927", "Subtract 33x from both sides: -67x = 69927", "Divide both sides by -67: x = -69927/67"], "final_answer": "-69927/67", "answer_type": "rational", "kind": "linear_equation", "math_text": "-34x = 33(x + 2119)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 33, \"c\": 2119}", "seed": "11635711082734855153", "semantic_fingerprint": "sha256:450170172123bd16d38b409bc40a05aa1593610f714fadb14604a5681360a157", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006834", "prompt": "Compute: 19003 * 7857", "solution_steps": ["Multiply: 19003 * 7857 = 149306571"], "final_answer": "149306571", "answer_type": "integer", "kind": "expression", "math_text": "19003 * 7857", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 19003, \"b\": 7857}", "seed": "9645869213410134834", "semantic_fingerprint": "sha256:8a334bc15f7e9c6ec5287e2bd7a48b862b86039b63a14e7c1241093980b0c1cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006835", "prompt": "Solve the equation x - 8271 = 26x for x.", "solution_steps": ["Subtract 26x from both sides: -25x - 8271 = 0", "Add 8271 to both sides: -25x = 8271", "Divide both sides by -25: x = -8271/25"], "final_answer": "-8271/25", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8271 = 26x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8271, \"b\": 26}", "seed": "13669224338363967200", "semantic_fingerprint": "sha256:1baf9d9ab84135ab7d3bbe384b6e1bbabe5d44084be32d106beda0e3085e5306", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006836", "prompt": "Calculate: (-54845 - (-8485)) * 2510", "solution_steps": ["Subtract: -54845 - (-8485) = -46360", "Multiply: -46360 * 2510 = -116363600"], "final_answer": "-116363600", "answer_type": "integer", "kind": "expression", "math_text": "(-54845 - (-8485)) * 2510", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -54845, \"b\": -8485, \"c\": 2510}", "seed": "4913553264180074610", "semantic_fingerprint": "sha256:7f8a54c5d2af296ab582c4f4efd6102a34f8a44216b46d425092774c5047fcb3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006837", "prompt": "Compute: 74291 + (-9419 + 6846)", "solution_steps": ["Add: -9419 + 6846 = -2573", "Add: 74291 + (-2573) = 71718"], "final_answer": "71718", "answer_type": "integer", "kind": "expression", "math_text": "74291 + (-9419 + 6846)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 74291, \"b\": -9419, \"c\": 6846}", "seed": "329310978121518274", "semantic_fingerprint": "sha256:f64f41eeaa196a3b0cc0a6d0587cd75a539da949ecd0eabc4a08597b5cf23ce5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006838", "prompt": "Calculate: (-2565 - (-7928) + (-6783)) / (-8602)", "solution_steps": ["Subtract: -2565 - (-7928) = 5363", "Add: 5363 + (-6783) = -1420", "Divide: -1420 / (-8602) = 710/4301"], "final_answer": "710/4301", "answer_type": "rational", "kind": "expression", "math_text": "(-2565 - (-7928) + (-6783)) / (-8602)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -2565, \"b\": -7928, \"c\": -6783, \"d\": -8602}", "seed": "17745677015960498528", "semantic_fingerprint": "sha256:1eed435fcbf4f041be4ca740bc4b4a42fd60ad06b2f201ab06575df446cd7925", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006839", "prompt": "Calculate: (-58424 - 9105) / (-2256 - (-7236 - (-6148) - (-64649)))", "solution_steps": ["Subtract: -58424 - 9105 = -67529", "Subtract: -7236 - (-6148) = -1088", "Subtract: -1088 - (-64649) = 63561", "Subtract: -2256 - 63561 = -65817", "Divide: -67529 / (-65817) = 67529/65817"], "final_answer": "67529/65817", "answer_type": "rational", "kind": "expression", "math_text": "(-58424 - 9105) / (-2256 - (-7236 - (-6148) - (-64649)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- n (- (- n n) n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -58424, \"b\": 9105, \"c\": -2256, \"d\": -7236, \"e\": -6148, \"f\": -64649}", "seed": "15065692450820121441", "semantic_fingerprint": "sha256:e2c822ee6e214672f158b4d024dd4e0a0f5ef5267b82865de2e1558ef170ce52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006840", "prompt": "Find x: x - 33972 = -35x - 28356", "solution_steps": ["Add 35x to both sides: 36x - 33972 = -28356", "Add 33972 to both sides: 36x = 5616", "Divide both sides by 36: x = 156"], "final_answer": "156", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 33972 = -35x - 28356", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 33972, \"b\": -35, \"d\": -28356, \"x\": 156}", "seed": "17517293652583415375", "semantic_fingerprint": "sha256:005e938d915c1b4816274679210adc75d05197150f9e4ca222982f3f2741b1e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006841", "prompt": "What value of x satisfies x + 88160 = 88053?", "solution_steps": ["Subtract 88160 from both sides: x = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 88160 = 88053", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 88160, \"c\": 88053, \"x\": -107}", "seed": "9451573805580554734", "semantic_fingerprint": "sha256:36c270b4e5a843a1cf88a813f94d55c167ca85b61eeebd7a036a07089866a345", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006842", "prompt": "What value of x satisfies 37(x - 8491) = x + 2065?", "solution_steps": ["Expand: 37x - 314167 = x + 2065", "Subtract x from both sides: 36x - 314167 = 2065", "Add 314167 to both sides: 36x = 316232", "Divide both sides by 36: x = 79058/9"], "final_answer": "79058/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "37(x - 8491) = x + 2065", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 37, \"b\": 8491, \"c\": 2065}", "seed": "10174663635139697120", "semantic_fingerprint": "sha256:c29f028326c8ec5c9156749562c8775805d43d21b8b63481253bc692ff3be731", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006843", "prompt": "Compute: -6291 - 8484 - (-3039 * 30319 - 6518)", "solution_steps": ["Subtract: -6291 - 8484 = -14775", "Multiply: -3039 * 30319 = -92139441", "Subtract: -92139441 - 6518 = -92145959", "Subtract: -14775 - (-92145959) = 92131184"], "final_answer": "92131184", "answer_type": "integer", "kind": "expression", "math_text": "-6291 - 8484 - (-3039 * 30319 - 6518)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -6291, \"b\": 8484, \"c\": -3039, \"d\": 30319, \"e\": 6518}", "seed": "7115715579921695922", "semantic_fingerprint": "sha256:6e0da3fb2e7f369e216b3c5261760b7c73262e268671665f216659e561579009", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006844", "prompt": "Compute: (-90210 + (-3560)) / 8495", "solution_steps": ["Add: -90210 + (-3560) = -93770", "Divide: -93770 / 8495 = -18754/1699"], "final_answer": "-18754/1699", "answer_type": "rational", "kind": "expression", "math_text": "(-90210 + (-3560)) / 8495", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -90210, \"b\": -3560, \"c\": 8495}", "seed": "4901423213862427543", "semantic_fingerprint": "sha256:ef2c56c657bea673857a236881344522e18e44bd12b59acaab792ca4994f1201", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006845", "prompt": "What value of x satisfies 23(x - 3407) - 3738 = 29x - 83227?", "solution_steps": ["Expand: 23x - 78361 - 3738 = 29x - 83227", "Combine constants: 23x - 82099 = 29x - 83227", "Subtract 29x from both sides: -6x - 82099 = -83227", "Add 82099 to both sides: -6x = -1128", "Divide both sides by -6: x = 188"], "final_answer": "188", "answer_type": "integer", "kind": "linear_equation", "math_text": "23(x - 3407) - 3738 = 29x - 83227", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 23, \"b\": 3407, \"c\": 3738, \"d\": 29, \"f\": -83227, \"x\": 188}", "seed": "13289226028905736344", "semantic_fingerprint": "sha256:064efb8341387f865518c3def17bf737f884339f3ad00ed668dd29082f39e1cd", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006846", "prompt": "What is -7436 + (1805 - 20256) * 70055?", "solution_steps": ["Subtract: 1805 - 20256 = -18451", "Multiply: -18451 * 70055 = -1292584805", "Add: -7436 + (-1292584805) = -1292592241"], "final_answer": "-1292592241", "answer_type": "integer", "kind": "expression", "math_text": "-7436 + (1805 - 20256) * 70055", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7436, \"b\": 1805, \"c\": 20256, \"d\": 70055}", "seed": "12934572594755169032", "semantic_fingerprint": "sha256:213ba6d30d585ef239d6a5d22d512f0d2ff296eeba5a04c60ec3103bc2d1a437", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006847", "prompt": "Calculate: (5458 - 1162) * 8394", "solution_steps": ["Subtract: 5458 - 1162 = 4296", "Multiply: 4296 * 8394 = 36060624"], "final_answer": "36060624", "answer_type": "integer", "kind": "expression", "math_text": "(5458 - 1162) * 8394", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5458, \"b\": 1162, \"c\": 8394}", "seed": "13363414976541274963", "semantic_fingerprint": "sha256:6f4c3ae75fd424c5db7ed56c93f59c1cc1b2809b4914a970ca4d12df21588131", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006848", "prompt": "Solve for x: 19(x - 20755) = 21(x - 4485)", "solution_steps": ["Expand: 19x - 394345 = 21(x - 4485)", "Expand: 19x - 394345 = 21x - 94185", "Subtract 21x from both sides: -2x - 394345 = -94185", "Add 394345 to both sides: -2x = 300160", "Divide both sides by -2: x = -150080"], "final_answer": "-150080", "answer_type": "integer", "kind": "linear_equation", "math_text": "19(x - 20755) = 21(x - 4485)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 19, \"b\": 20755, \"c\": 21, \"d\": 4485}", "seed": "6202055092823685787", "semantic_fingerprint": "sha256:9725e6f6e9a43e152a22ea282add020eb68e9fe6a8ab67d9eb66b50d3d3e5b27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006849", "prompt": "Calculate: (4371 - (-7813)) * (-74311)", "solution_steps": ["Subtract: 4371 - (-7813) = 12184", "Multiply: 12184 * (-74311) = -905405224"], "final_answer": "-905405224", "answer_type": "integer", "kind": "expression", "math_text": "(4371 - (-7813)) * (-74311)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4371, \"b\": -7813, \"c\": -74311}", "seed": "2529114202238590765", "semantic_fingerprint": "sha256:6a16b80db8a99ce5ed08db336d88eb8932051b9a23511a94525d7ecd60496a74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006850", "prompt": "Find x: -17x + 96456 = x + 21668", "solution_steps": ["Subtract x from both sides: -18x + 96456 = 21668", "Subtract 96456 from both sides: -18x = -74788", "Divide both sides by -18: x = 37394/9"], "final_answer": "37394/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17x + 96456 = x + 21668", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 96456, \"c\": 21668}", "seed": "1596565285555292587", "semantic_fingerprint": "sha256:907c86aff3736e02b2ebaed646cffd95cf03169224452a5723a57f8f997ef38a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006851", "prompt": "What is 8049 - (1522 + (-7931))?", "solution_steps": ["Add: 1522 + (-7931) = -6409", "Subtract: 8049 - (-6409) = 14458"], "final_answer": "14458", "answer_type": "integer", "kind": "expression", "math_text": "8049 - (1522 + (-7931))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8049, \"b\": 1522, \"c\": -7931}", "seed": "7560988671731314276", "semantic_fingerprint": "sha256:0cef48751d2aa6d90d2a78970c796c66f3d2b3f8e09fb0926bb16b9c8972f14e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006852", "prompt": "Compute: -4892 * 73675 - 5989", "solution_steps": ["Multiply: -4892 * 73675 = -360418100", "Subtract: -360418100 - 5989 = -360424089"], "final_answer": "-360424089", "answer_type": "integer", "kind": "expression", "math_text": "-4892 * 73675 - 5989", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4892, \"b\": 73675, \"c\": 5989}", "seed": "18368895790223978602", "semantic_fingerprint": "sha256:e7ca15f135893610b6202f9664cc440f93143b526d87ff5e6ec094bd20648bfa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006853", "prompt": "Solve the equation -27(x + 5635) = 13(x + 49331) + 32953 for x.", "solution_steps": ["Expand: -27x - 152145 = 13(x + 49331) + 32953", "Expand: -27x - 152145 = 13x + 641303 + 32953", "Combine constants: -27x - 152145 = 13x + 674256", "Subtract 13x from both sides: -40x - 152145 = 674256", "Add 152145 to both sides: -40x = 826401", "Divide both sides by -40: x = -826401/40"], "final_answer": "-826401/40", "answer_type": "rational", "kind": "linear_equation", "math_text": "-27(x + 5635) = 13(x + 49331) + 32953", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -27, \"b\": 5635, \"c\": 13, \"d\": 49331, \"e\": 32953}", "seed": "11600652616685613623", "semantic_fingerprint": "sha256:3be02acaefa292acdb6307a8c19ae06eba2534dac936e4116eb574d4454551c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006854", "prompt": "Evaluate: 8245 / 7298 - 7087", "solution_steps": ["Divide: 8245 / 7298 = 8245/7298", "Subtract: 8245/7298 - 7087 = -51712681/7298"], "final_answer": "-51712681/7298", "answer_type": "rational", "kind": "expression", "math_text": "8245 / 7298 - 7087", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8245, \"b\": 7298, \"c\": 7087}", "seed": "2479839991863955422", "semantic_fingerprint": "sha256:5a52592ccf882661455393e614e70f8d0e4a292c05edb634ebe71d38f6d2b267", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006855", "prompt": "What value of x satisfies -36x + 82963 = x + 80965?", "solution_steps": ["Subtract x from both sides: -37x + 82963 = 80965", "Subtract 82963 from both sides: -37x = -1998", "Divide both sides by -37: x = 54"], "final_answer": "54", "answer_type": "integer", "kind": "linear_equation", "math_text": "-36x + 82963 = x + 80965", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -36, \"b\": 82963, \"d\": 80965, \"x\": 54}", "seed": "5998373422267449310", "semantic_fingerprint": "sha256:fc5939db07b36d383836543b8c32bce40e65ddd532103cd0bfb58d3707fba479", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006856", "prompt": "Calculate: 79725 - 1530 + 46192", "solution_steps": ["Subtract: 79725 - 1530 = 78195", "Add: 78195 + 46192 = 124387"], "final_answer": "124387", "answer_type": "integer", "kind": "expression", "math_text": "79725 - 1530 + 46192", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 79725, \"b\": 1530, \"c\": 46192}", "seed": "13636773949593142133", "semantic_fingerprint": "sha256:ef74b87767568b7f622c03fbdecb16fe9d140b9deab207b1739fb680a17a9cad", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006857", "prompt": "What is 7325 + 4585 - (-6051 - (-42196))?", "solution_steps": ["Add: 7325 + 4585 = 11910", "Subtract: -6051 - (-42196) = 36145", "Subtract: 11910 - 36145 = -24235"], "final_answer": "-24235", "answer_type": "integer", "kind": "expression", "math_text": "7325 + 4585 - (-6051 - (-42196))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 7325, \"b\": 4585, \"c\": -6051, \"d\": -42196}", "seed": "9851412263597714284", "semantic_fingerprint": "sha256:33e89e61ecf40781590c20306a0c708def6a12112671c532b37d7a0b163c0730", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006858", "prompt": "What value of x satisfies -29(x - 55836) = -8077?", "solution_steps": ["Expand: -29x + 1619244 = -8077", "Subtract 1619244 from both sides: -29x = -1627321", "Divide both sides by -29: x = 1627321/29"], "final_answer": "1627321/29", "answer_type": "rational", "kind": "linear_equation", "math_text": "-29(x - 55836) = -8077", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -29, \"b\": 55836, \"c\": -8077}", "seed": "553684915259380428", "semantic_fingerprint": "sha256:2d772b3a3fe5bc9c6dc7693a73c7813a5579826cf4c0dfddfe0e3e008eda0acf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006859", "prompt": "Compute: 3349 * (-26696 / (-57170 / (-2510))) - 3009", "solution_steps": ["Divide: -57170 / (-2510) = 5717/251", "Divide: -26696 / (5717/251) = -6700696/5717", "Multiply: 3349 * (-6700696/5717) = -22440630904/5717", "Subtract: -22440630904/5717 - 3009 = -22457833357/5717"], "final_answer": "-22457833357/5717", "answer_type": "rational", "kind": "expression", "math_text": "3349 * (-26696 / (-57170 / (-2510))) - 3009", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 3349, \"b\": -26696, \"c\": -57170, \"d\": -2510, \"e\": 3009}", "seed": "4256630222207875028", "semantic_fingerprint": "sha256:48fb96c78f7c434cbe33fcd0bd200140bf2b23f5dc319c2b7a161e86abdafad3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006860", "prompt": "Find x: -16(x - 4398) = 20x", "solution_steps": ["Expand: -16x + 70368 = 20x", "Subtract 20x from both sides: -36x + 70368 = 0", "Subtract 70368 from both sides: -36x = -70368", "Divide both sides by -36: x = 5864/3"], "final_answer": "5864/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-16(x - 4398) = 20x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -16, \"b\": 4398, \"c\": 20}", "seed": "9322745758249628199", "semantic_fingerprint": "sha256:601d318c63bab591c69abc1020b597b4de759bf904a89502fb6288c06ea546b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006861", "prompt": "Compute: (-7364 + 9702) * (44893 - 5918)", "solution_steps": ["Add: -7364 + 9702 = 2338", "Subtract: 44893 - 5918 = 38975", "Multiply: 2338 * 38975 = 91123550"], "final_answer": "91123550", "answer_type": "integer", "kind": "expression", "math_text": "(-7364 + 9702) * (44893 - 5918)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -7364, \"b\": 9702, \"c\": 44893, \"d\": 5918}", "seed": "6161547876609818121", "semantic_fingerprint": "sha256:bf00e6da87bf2cf056f681ad5c34088f57acdcb3102435b8581ce9063efbb87b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006862", "prompt": "Calculate: 5115 - (-9822) / (-47972)", "solution_steps": ["Divide: -9822 / (-47972) = 4911/23986", "Subtract: 5115 - 4911/23986 = 122683479/23986"], "final_answer": "122683479/23986", "answer_type": "rational", "kind": "expression", "math_text": "5115 - (-9822) / (-47972)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 5115, \"b\": -9822, \"c\": -47972}", "seed": "15367633977247334466", "semantic_fingerprint": "sha256:1d398df541c1ed6e67a53a7530c21453208e7ecf7f49682734e460209e745948", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006863", "prompt": "Compute: 3461 / (91743 - 14100)", "solution_steps": ["Subtract: 91743 - 14100 = 77643", "Divide: 3461 / 77643 = 3461/77643"], "final_answer": "3461/77643", "answer_type": "rational", "kind": "expression", "math_text": "3461 / (91743 - 14100)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 3461, \"b\": 91743, \"c\": 14100}", "seed": "687570672567665090", "semantic_fingerprint": "sha256:b7aa6d40cc1cd6930212966d654530342cd1151d9255c8e3565703e4c875dcc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006864", "prompt": "Evaluate: 55958 * (-36715) - 9982 + (-56845)", "solution_steps": ["Multiply: 55958 * (-36715) = -2054497970", "Subtract: -2054497970 - 9982 = -2054507952", "Add: -2054507952 + (-56845) = -2054564797"], "final_answer": "-2054564797", "answer_type": "integer", "kind": "expression", "math_text": "55958 * (-36715) - 9982 + (-56845)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 55958, \"b\": -36715, \"c\": 9982, \"d\": -56845}", "seed": "17838712999154893460", "semantic_fingerprint": "sha256:405d961a54d818754f0c34dad0076592fdcc4c60f6c499179524eba0095825e9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006865", "prompt": "Compute: -8873 - (-6460) - 4510", "solution_steps": ["Subtract: -8873 - (-6460) = -2413", "Subtract: -2413 - 4510 = -6923"], "final_answer": "-6923", "answer_type": "integer", "kind": "expression", "math_text": "-8873 - (-6460) - 4510", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8873, \"b\": -6460, \"c\": 4510}", "seed": "2957188424370773570", "semantic_fingerprint": "sha256:41cc59d18cc9d6b3c91df4a5ca16ed88d9fba31aacc7d08c8a32707aac375d00", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006866", "prompt": "Compute: -5230 + (-36331) * 5677 / (-8448) * (-9765)", "solution_steps": ["Multiply: -36331 * 5677 = -206251087", "Divide: -206251087 / (-8448) = 206251087/8448", "Multiply: (206251087/8448) * (-9765) = -671347288185/2816", "Add: -5230 + (-671347288185/2816) = -671362015865/2816"], "final_answer": "-671362015865/2816", "answer_type": "rational", "kind": "expression", "math_text": "-5230 + (-36331) * 5677 / (-8448) * (-9765)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ (* n n) n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -5230, \"b\": -36331, \"c\": 5677, \"d\": -8448, \"e\": -9765}", "seed": "13017899840363567137", "semantic_fingerprint": "sha256:8d5c7899a21eea9f4becc789e8322019b7ac8ba4ec74a61a91e9ebd7d02194d6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006867", "prompt": "What is 3629 / (-36188 - (3471 + 46874))?", "solution_steps": ["Add: 3471 + 46874 = 50345", "Subtract: -36188 - 50345 = -86533", "Divide: 3629 / (-86533) = -3629/86533"], "final_answer": "-3629/86533", "answer_type": "rational", "kind": "expression", "math_text": "3629 / (-36188 - (3471 + 46874))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3629, \"b\": -36188, \"c\": 3471, \"d\": 46874}", "seed": "7054933883853887173", "semantic_fingerprint": "sha256:5c678a5f5d29c55a2705cda9f2f0f974b3b1e790caf35d9db3b1a6a61486839d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006868", "prompt": "Calculate: 1040 - (-9066 - 4802)", "solution_steps": ["Subtract: -9066 - 4802 = -13868", "Subtract: 1040 - (-13868) = 14908"], "final_answer": "14908", "answer_type": "integer", "kind": "expression", "math_text": "1040 - (-9066 - 4802)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 1040, \"b\": -9066, \"c\": 4802}", "seed": "8437890789029564721", "semantic_fingerprint": "sha256:06fc1657340b9a9e23d0ef595d209b1ab78bf0d657b58eb25656fb4253e58f31", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006869", "prompt": "Find x: 35x = x", "solution_steps": ["Subtract x from both sides: 34x = 0", "Divide both sides by 34: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 35}", "seed": "10178768809428504713", "semantic_fingerprint": "sha256:c37b3291e253d9d5e1de3175beddc7a3241d1fda03fab5aaefa4c86bc863c44a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006870", "prompt": "Calculate: -8453 - 29016 - (-5595) / (-65198)", "solution_steps": ["Subtract: -8453 - 29016 = -37469", "Divide: -5595 / (-65198) = 5595/65198", "Subtract: -37469 - 5595/65198 = -2442909457/65198"], "final_answer": "-2442909457/65198", "answer_type": "rational", "kind": "expression", "math_text": "-8453 - 29016 - (-5595) / (-65198)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8453, \"b\": 29016, \"c\": -5595, \"d\": -65198}", "seed": "4414193115997711158", "semantic_fingerprint": "sha256:da2545dd29e4886c245f22aabcd5ccce1a678099e3d95ea1722be1084bd6e5a4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006871", "prompt": "Calculate: 13783 / (-49933) * (-5379 + (-91195)) - (-6815 + (-40506))", "solution_steps": ["Divide: 13783 / (-49933) = -13783/49933", "Add: -5379 + (-91195) = -96574", "Multiply: (-13783/49933) * (-96574) = 1331079442/49933", "Add: -6815 + (-40506) = -47321", "Subtract: 1331079442/49933 - (-47321) = 3693958935/49933"], "final_answer": "3693958935/49933", "answer_type": "rational", "kind": "expression", "math_text": "13783 / (-49933) * (-5379 + (-91195)) - (-6815 + (-40506))", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 13783, \"b\": -49933, \"c\": -5379, \"d\": -91195, \"e\": -6815, \"f\": -40506}", "seed": "8264700833653189254", "semantic_fingerprint": "sha256:0f5178598f2ac46552ca69688f929ab2e042677fc372903351d7110181373b70", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006872", "prompt": "Solve for x: 32(x - 4490) = -17(x - 87409)", "solution_steps": ["Expand: 32x - 143680 = -17(x - 87409)", "Expand: 32x - 143680 = -17x + 1485953", "Add 17x to both sides: 49x - 143680 = 1485953", "Add 143680 to both sides: 49x = 1629633", "Divide both sides by 49: x = 1629633/49"], "final_answer": "1629633/49", "answer_type": "rational", "kind": "linear_equation", "math_text": "32(x - 4490) = -17(x - 87409)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 32, \"b\": 4490, \"c\": -17, \"d\": 87409}", "seed": "7791472801872543698", "semantic_fingerprint": "sha256:22c7f6b604d3b72f8062fe628fb20fcc25a99f4ee921b89e50c288b109d6dfe5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006873", "prompt": "Calculate: 25371 / (-77265)", "solution_steps": ["Divide: 25371 / (-77265) = -2819/8585"], "final_answer": "-2819/8585", "answer_type": "rational", "kind": "expression", "math_text": "25371 / (-77265)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 25371, \"b\": -77265}", "seed": "9877483326922613582", "semantic_fingerprint": "sha256:c572d4e19c249a0bdc0ebe5afa448fec8ea1b058fac236dbfdc8d33292755283", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006874", "prompt": "Compute: -68725 - 97063", "solution_steps": ["Subtract: -68725 - 97063 = -165788"], "final_answer": "-165788", "answer_type": "integer", "kind": "expression", "math_text": "-68725 - 97063", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -68725, \"b\": 97063}", "seed": "5589601838767582885", "semantic_fingerprint": "sha256:1f139cd8a3c03789e64570379a52436337182c980a55ee1420fc6c213cf25bc9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006875", "prompt": "Calculate: -9616 / (-6556) * (-3576) / (4433 - (-8620))", "solution_steps": ["Divide: -9616 / (-6556) = 2404/1639", "Multiply: (2404/1639) * (-3576) = -57696/11", "Subtract: 4433 - (-8620) = 13053", "Divide: (-57696/11) / 13053 = -19232/47861"], "final_answer": "-19232/47861", "answer_type": "rational", "kind": "expression", "math_text": "-9616 / (-6556) * (-3576) / (4433 - (-8620))", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9616, \"b\": -6556, \"c\": -3576, \"d\": 4433, \"e\": -8620}", "seed": "6018422088992394203", "semantic_fingerprint": "sha256:6396dc54f5502281a694a27c737142256ba20f9af3c0a39b76067a9d06899767", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006876", "prompt": "Compute: 8356 / (-5439 - 7046 - (-52316)) * (-3013)", "solution_steps": ["Subtract: -5439 - 7046 = -12485", "Subtract: -12485 - (-52316) = 39831", "Divide: 8356 / 39831 = 8356/39831", "Multiply: (8356/39831) * (-3013) = -25176628/39831"], "final_answer": "-25176628/39831", "answer_type": "rational", "kind": "expression", "math_text": "8356 / (-5439 - 7046 - (-52316)) * (-3013)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- (- n n) n)) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8356, \"b\": -5439, \"c\": 7046, \"d\": -52316, \"e\": -3013}", "seed": "14961690887210694969", "semantic_fingerprint": "sha256:e5f9aed8432bdb143206fbb451728a36cb1afc10120d2f1ad733e717c734bc40", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006877", "prompt": "Calculate: (-84462 * (-9217) - (-9067)) / 61602", "solution_steps": ["Multiply: -84462 * (-9217) = 778486254", "Subtract: 778486254 - (-9067) = 778495321", "Divide: 778495321 / 61602 = 778495321/61602"], "final_answer": "778495321/61602", "answer_type": "rational", "kind": "expression", "math_text": "(-84462 * (-9217) - (-9067)) / 61602", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -84462, \"b\": -9217, \"c\": -9067, \"d\": 61602}", "seed": "11647983155977532327", "semantic_fingerprint": "sha256:8f2d8904f27d2481c6dcc481be92ace75d238a36b259893d7bfeaa7c247cdc7e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006878", "prompt": "Evaluate: 7486 * 3124 / 1764", "solution_steps": ["Multiply: 7486 * 3124 = 23386264", "Divide: 23386264 / 1764 = 5846566/441"], "final_answer": "5846566/441", "answer_type": "rational", "kind": "expression", "math_text": "7486 * 3124 / 1764", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7486, \"b\": 3124, \"c\": 1764}", "seed": "4630580477862462689", "semantic_fingerprint": "sha256:3584c974594c5e790d61233f0c47b3ac8899ac3a849fe7e66d79c58161b0eabc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006879", "prompt": "What is -25436 - (-26811) + 96141?", "solution_steps": ["Subtract: -25436 - (-26811) = 1375", "Add: 1375 + 96141 = 97516"], "final_answer": "97516", "answer_type": "integer", "kind": "expression", "math_text": "-25436 - (-26811) + 96141", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -25436, \"b\": -26811, \"c\": 96141}", "seed": "5196130171173360418", "semantic_fingerprint": "sha256:44e3e10704378cc2e1d20c3e1aefc7c85b41471ce054141e60d94a5f7f7ca0a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006880", "prompt": "Evaluate: (75156 - (-2357)) * (5960 - 5131)", "solution_steps": ["Subtract: 75156 - (-2357) = 77513", "Subtract: 5960 - 5131 = 829", "Multiply: 77513 * 829 = 64258277"], "final_answer": "64258277", "answer_type": "integer", "kind": "expression", "math_text": "(75156 - (-2357)) * (5960 - 5131)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 75156, \"b\": -2357, \"c\": 5960, \"d\": 5131}", "seed": "17124058408373496919", "semantic_fingerprint": "sha256:5922417eefc1d6f68c6cdc43a6ff9dfddcbe0db964823ee0988dff8097a9f3b1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006881", "prompt": "Find x: x - 4092 = -19x - 54400", "solution_steps": ["Add 19x to both sides: 20x - 4092 = -54400", "Add 4092 to both sides: 20x = -50308", "Divide both sides by 20: x = -12577/5"], "final_answer": "-12577/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4092 = -19x - 54400", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4092, \"b\": -19, \"c\": 54400}", "seed": "4474310914146816535", "semantic_fingerprint": "sha256:6181fdc1aff75bec9616b8da894f3dbe64bf2842cc2bda2543bff988ae91cd50", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006882", "prompt": "Calculate: -2676 - (-3778 - (7587 + 5935)) + (-1765) + 8988", "solution_steps": ["Add: 7587 + 5935 = 13522", "Subtract: -3778 - 13522 = -17300", "Subtract: -2676 - (-17300) = 14624", "Add: 14624 + (-1765) = 12859", "Add: 12859 + 8988 = 21847"], "final_answer": "21847", "answer_type": "integer", "kind": "expression", "math_text": "-2676 - (-3778 - (7587 + 5935)) + (-1765) + 8988", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n (- n (+ n n))) n) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -2676, \"b\": -3778, \"c\": 7587, \"d\": 5935, \"e\": -1765, \"f\": 8988}", "seed": "17269036888273187629", "semantic_fingerprint": "sha256:a664461430e12eec1aa92ae81e6b35a8c855c4d6624fbe27503de0acd703d3d8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006883", "prompt": "Find x: -38x + 62863 = 27x + 52073", "solution_steps": ["Subtract 27x from both sides: -65x + 62863 = 52073", "Subtract 62863 from both sides: -65x = -10790", "Divide both sides by -65: x = 166"], "final_answer": "166", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x + 62863 = 27x + 52073", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 62863, \"c\": 27, \"e\": 52073, \"x\": 166}", "seed": "12879626546915190181", "semantic_fingerprint": "sha256:21ce3f729455eaefd482736a566bd023f4ab45f46527bafc824072b2befa3133", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006884", "prompt": "Evaluate: 58910 + (-9001) / 4528", "solution_steps": ["Divide: -9001 / 4528 = -9001/4528", "Add: 58910 + (-9001/4528) = 266735479/4528"], "final_answer": "266735479/4528", "answer_type": "rational", "kind": "expression", "math_text": "58910 + (-9001) / 4528", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 58910, \"b\": -9001, \"c\": 4528}", "seed": "10301725415683057500", "semantic_fingerprint": "sha256:f00483486e603663890ee46fbcb3e03c7fe345167befc0b536df7bd19c21f69b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006885", "prompt": "Solve the equation 39x + 32115 = -52509 for x.", "solution_steps": ["Subtract 32115 from both sides: 39x = -84624", "Divide both sides by 39: x = -28208/13"], "final_answer": "-28208/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "39x + 32115 = -52509", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 32115, \"c\": -52509}", "seed": "8203521848227502837", "semantic_fingerprint": "sha256:0c62286016caaa860f216a540d6dbbf2cca7ed8769cef1038e4bca089c47dbce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006886", "prompt": "Compute: 8838 * 52839 + (-1826)", "solution_steps": ["Multiply: 8838 * 52839 = 466991082", "Add: 466991082 + (-1826) = 466989256"], "final_answer": "466989256", "answer_type": "integer", "kind": "expression", "math_text": "8838 * 52839 + (-1826)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 8838, \"b\": 52839, \"c\": -1826}", "seed": "15335394069294961883", "semantic_fingerprint": "sha256:9cd6b47e0f8e7ee303b2e2ca794c660fb15dd2442397bfd5564df3cf2600a1f3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006887", "prompt": "What is -8562 + (-8373 - (-76912) * 42677)?", "solution_steps": ["Multiply: -76912 * 42677 = -3282373424", "Subtract: -8373 - (-3282373424) = 3282365051", "Add: -8562 + 3282365051 = 3282356489"], "final_answer": "3282356489", "answer_type": "integer", "kind": "expression", "math_text": "-8562 + (-8373 - (-76912) * 42677)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -8562, \"b\": -8373, \"c\": -76912, \"d\": 42677}", "seed": "49284687007696595", "semantic_fingerprint": "sha256:f083d52c3b0a1a3ad845fe51e9b8ceea8cda433d250448c86e06bdc9de911df8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006888", "prompt": "Calculate: (-13864 - (-74218)) * (7094 - (-56496 - 59596))", "solution_steps": ["Subtract: -13864 - (-74218) = 60354", "Subtract: -56496 - 59596 = -116092", "Subtract: 7094 - (-116092) = 123186", "Multiply: 60354 * 123186 = 7434767844"], "final_answer": "7434767844", "answer_type": "integer", "kind": "expression", "math_text": "(-13864 - (-74218)) * (7094 - (-56496 - 59596))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -13864, \"b\": -74218, \"c\": 7094, \"d\": -56496, \"e\": 59596}", "seed": "18396044546392773991", "semantic_fingerprint": "sha256:4cea67fb7fdb3c9fa046719efe068f632c30e900abe638a8c5b9b90afa1651e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006889", "prompt": "What is 7793 / (-3322)?", "solution_steps": ["Divide: 7793 / (-3322) = -7793/3322"], "final_answer": "-7793/3322", "answer_type": "rational", "kind": "expression", "math_text": "7793 / (-3322)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7793, \"b\": -3322}", "seed": "16033763390987021195", "semantic_fingerprint": "sha256:f5519bd673e0685b21544b5a4e0db7055412d451b16c58d58ce8fe9012efc4bf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006890", "prompt": "Compute: 95890 / (1826 / 62773)", "solution_steps": ["Divide: 1826 / 62773 = 1826/62773", "Divide: 95890 / (1826/62773) = 3009651485/913"], "final_answer": "3009651485/913", "answer_type": "rational", "kind": "expression", "math_text": "95890 / (1826 / 62773)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 95890, \"b\": 1826, \"c\": 62773}", "seed": "8292268001164090318", "semantic_fingerprint": "sha256:89a75efedd3dd6e282ebecb6c483f66621c0357f5e7e2e09ca3fa9df123a9103", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006891", "prompt": "Find x: x = 36x - 2025", "solution_steps": ["Subtract 36x from both sides: -35x = -2025", "Divide both sides by -35: x = 405/7"], "final_answer": "405/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 36x - 2025", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 36, \"b\": 2025}", "seed": "489071384384665269", "semantic_fingerprint": "sha256:6246eb2a277868a29d14e8148129fff7cb31d8ba668019c1eee309a5c21c6c20", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006892", "prompt": "What is -96961 / (-20852) + 9794?", "solution_steps": ["Divide: -96961 / (-20852) = 96961/20852", "Add: 96961/20852 + 9794 = 204321449/20852"], "final_answer": "204321449/20852", "answer_type": "rational", "kind": "expression", "math_text": "-96961 / (-20852) + 9794", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -96961, \"b\": -20852, \"c\": 9794}", "seed": "7325537342345713016", "semantic_fingerprint": "sha256:d094d6ee933668dea5f9e3f322aab73ffadcee52567744f5b49f73d0c16d1d1e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006893", "prompt": "What value of x satisfies 33(x + 3997) = 35x + 64292?", "solution_steps": ["Expand: 33x + 131901 = 35x + 64292", "Subtract 35x from both sides: -2x + 131901 = 64292", "Subtract 131901 from both sides: -2x = -67609", "Divide both sides by -2: x = 67609/2"], "final_answer": "67609/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "33(x + 3997) = 35x + 64292", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 33, \"b\": 3997, \"c\": 35, \"d\": 64292}", "seed": "7514568316973499868", "semantic_fingerprint": "sha256:5e926d2e31c77a545352d5e4388ba23c39124728890da2d5c2a6db840c3d754b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006894", "prompt": "Calculate: 5930 + (43479 - (84133 - (-8863))) + (-98082 - 83140)", "solution_steps": ["Subtract: 84133 - (-8863) = 92996", "Subtract: 43479 - 92996 = -49517", "Add: 5930 + (-49517) = -43587", "Subtract: -98082 - 83140 = -181222", "Add: -43587 + (-181222) = -224809"], "final_answer": "-224809", "answer_type": "integer", "kind": "expression", "math_text": "5930 + (43479 - (84133 - (-8863))) + (-98082 - 83140)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n (- n n))) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5930, \"b\": 43479, \"c\": 84133, \"d\": -8863, \"e\": -98082, \"f\": 83140}", "seed": "1623262265525778398", "semantic_fingerprint": "sha256:f0e3275af5c86270fb858348e36d94716dd7cb658a6369f23c33c2d25ed94718", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006895", "prompt": "Calculate: 15264 - (-49855 + (-4199))", "solution_steps": ["Add: -49855 + (-4199) = -54054", "Subtract: 15264 - (-54054) = 69318"], "final_answer": "69318", "answer_type": "integer", "kind": "expression", "math_text": "15264 - (-49855 + (-4199))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 15264, \"b\": -49855, \"c\": -4199}", "seed": "1944795155394031613", "semantic_fingerprint": "sha256:f12853664060bdcaeaa8e11493362e50a395427599e4e1261b37c155a5737966", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006896", "prompt": "What is (-90215 + 3022) * 62936 - (-9898)?", "solution_steps": ["Add: -90215 + 3022 = -87193", "Multiply: -87193 * 62936 = -5487578648", "Subtract: -5487578648 - (-9898) = -5487568750"], "final_answer": "-5487568750", "answer_type": "integer", "kind": "expression", "math_text": "(-90215 + 3022) * 62936 - (-9898)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -90215, \"b\": 3022, \"c\": 62936, \"d\": -9898}", "seed": "6159489013586107608", "semantic_fingerprint": "sha256:26b5395ff7b4fe5fd193f9ccd179d8ae0d3db4f63910a514fd6ecb84220a731c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006897", "prompt": "Compute: 66864 - 21756 + (-4070)", "solution_steps": ["Subtract: 66864 - 21756 = 45108", "Add: 45108 + (-4070) = 41038"], "final_answer": "41038", "answer_type": "integer", "kind": "expression", "math_text": "66864 - 21756 + (-4070)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 66864, \"b\": 21756, \"c\": -4070}", "seed": "11288643005657581344", "semantic_fingerprint": "sha256:e186ef26c71c266ea184663b764b0b456e1db425bb5a071b13a3702bda8452ba", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006898", "prompt": "Calculate: 5219 * 7834", "solution_steps": ["Multiply: 5219 * 7834 = 40885646"], "final_answer": "40885646", "answer_type": "integer", "kind": "expression", "math_text": "5219 * 7834", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 5219, \"b\": 7834}", "seed": "10582362253203183487", "semantic_fingerprint": "sha256:616c313487f7b6d796ee44ee70698caadf8f92b295164bde1bf35c6bc9b2b121", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006899", "prompt": "Compute: 22581 / 19647 - (-18082 + (-4291))", "solution_steps": ["Divide: 22581 / 19647 = 2509/2183", "Add: -18082 + (-4291) = -22373", "Subtract: 2509/2183 - (-22373) = 48842768/2183"], "final_answer": "48842768/2183", "answer_type": "rational", "kind": "expression", "math_text": "22581 / 19647 - (-18082 + (-4291))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 22581, \"b\": 19647, \"c\": -18082, \"d\": -4291}", "seed": "3256953591518757723", "semantic_fingerprint": "sha256:5fa540008736993955ee5cc5d73e05c8b6a232e94344149221388d9a457ed931", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006900", "prompt": "Find x: 32x - 5766 = x", "solution_steps": ["Subtract x from both sides: 31x - 5766 = 0", "Add 5766 to both sides: 31x = 5766", "Divide both sides by 31: x = 186"], "final_answer": "186", "answer_type": "integer", "kind": "linear_equation", "math_text": "32x - 5766 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 32, \"c\": -5766, \"x\": 186}", "seed": "15161954835235942401", "semantic_fingerprint": "sha256:3b13ad2cd5f4ea428d4f82e192f573c5a7c1770787e8e2096cc5f4187c3fb2f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006901", "prompt": "What is (-5096 * 20122 + 72008) * (4245 - (9660 + 2080))?", "solution_steps": ["Multiply: -5096 * 20122 = -102541712", "Add: -102541712 + 72008 = -102469704", "Add: 9660 + 2080 = 11740", "Subtract: 4245 - 11740 = -7495", "Multiply: -102469704 * (-7495) = 768010431480"], "final_answer": "768010431480", "answer_type": "integer", "kind": "expression", "math_text": "(-5096 * 20122 + 72008) * (4245 - (9660 + 2080))", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -5096, \"b\": 20122, \"c\": 72008, \"d\": 4245, \"e\": 9660, \"f\": 2080}", "seed": "17099756453585783791", "semantic_fingerprint": "sha256:89331a8041bbfc7b87b315b358be516cbdf432992e266ddd91291f65ef3a55ee", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006902", "prompt": "Evaluate: -37216 - (-3657)", "solution_steps": ["Subtract: -37216 - (-3657) = -33559"], "final_answer": "-33559", "answer_type": "integer", "kind": "expression", "math_text": "-37216 - (-3657)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -37216, \"b\": -3657}", "seed": "4744818787856305851", "semantic_fingerprint": "sha256:3a6e7d9bdf43549eb233028f62aa2aacae48fc1cf60b67aedb3f50eb28705d32", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006903", "prompt": "Solve for x: 24(x + 74966) - 2029 = x", "solution_steps": ["Expand: 24x + 1799184 - 2029 = x", "Combine constants: 24x + 1797155 = x", "Subtract x from both sides: 23x + 1797155 = 0", "Subtract 1797155 from both sides: 23x = -1797155", "Divide both sides by 23: x = -1797155/23"], "final_answer": "-1797155/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "24(x + 74966) - 2029 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 24, \"b\": 74966, \"c\": 2029}", "seed": "17526378055149186712", "semantic_fingerprint": "sha256:ae3a2d8a8e4c492dadb139937774e08eb3c2ec23844e4701e4543f2bcea692ab", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006904", "prompt": "What is -64372 - (-9863) + (-9833)?", "solution_steps": ["Subtract: -64372 - (-9863) = -54509", "Add: -54509 + (-9833) = -64342"], "final_answer": "-64342", "answer_type": "integer", "kind": "expression", "math_text": "-64372 - (-9863) + (-9833)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64372, \"b\": -9863, \"c\": -9833}", "seed": "10847635056423233536", "semantic_fingerprint": "sha256:6f3f721908a6e07338df93432d0763b6569946ddbceb2ab9f033cc3789f79e97", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006905", "prompt": "Evaluate: 8036 * (-71642 / 8196 / (1335 / 4941))", "solution_steps": ["Divide: -71642 / 8196 = -35821/4098", "Divide: 1335 / 4941 = 445/1647", "Divide: (-35821/4098) / (445/1647) = -19665729/607870", "Multiply: 8036 * (-19665729/607870) = -79016899122/303935"], "final_answer": "-79016899122/303935", "answer_type": "rational", "kind": "expression", "math_text": "8036 * (-71642 / 8196 / (1335 / 4941))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8036, \"b\": -71642, \"c\": 8196, \"d\": 1335, \"e\": 4941}", "seed": "12597837757375110645", "semantic_fingerprint": "sha256:c4b48ee48d6972e1713e4a26c3dc424148bec575b5804a4dc2365b5c9b70980b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006906", "prompt": "Calculate: -10829 * (-6106 / 9510)", "solution_steps": ["Divide: -6106 / 9510 = -3053/4755", "Multiply: -10829 * (-3053/4755) = 33060937/4755"], "final_answer": "33060937/4755", "answer_type": "rational", "kind": "expression", "math_text": "-10829 * (-6106 / 9510)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -10829, \"b\": -6106, \"c\": 9510}", "seed": "17123142255516580835", "semantic_fingerprint": "sha256:ed2492c590821bcf56989f0a80c41e4077bed9f858d9970bad72b31e2c52f0b7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006907", "prompt": "Solve for x: -34(x - 4335) - 76199 = -23x + 70388", "solution_steps": ["Expand: -34x + 147390 - 76199 = -23x + 70388", "Combine constants: -34x + 71191 = -23x + 70388", "Add 23x to both sides: -11x + 71191 = 70388", "Subtract 71191 from both sides: -11x = -803", "Divide both sides by -11: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "-34(x - 4335) - 76199 = -23x + 70388", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -34, \"b\": 4335, \"c\": 76199, \"d\": -23, \"f\": 70388, \"x\": 73}", "seed": "12043059834785994743", "semantic_fingerprint": "sha256:28859c323464ee76ae8118b3f02cd943810643b4236fae78c86a2ebb8656bb62", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006908", "prompt": "Compute: -39115 - 48940", "solution_steps": ["Subtract: -39115 - 48940 = -88055"], "final_answer": "-88055", "answer_type": "integer", "kind": "expression", "math_text": "-39115 - 48940", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -39115, \"b\": 48940}", "seed": "2061576927740514536", "semantic_fingerprint": "sha256:c0b9f21102f12ea6f6354034581b30f1622ed289a22cbe6ba63c2823c54d0ef9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006909", "prompt": "What is -1128 * (-4428)?", "solution_steps": ["Multiply: -1128 * (-4428) = 4994784"], "final_answer": "4994784", "answer_type": "integer", "kind": "expression", "math_text": "-1128 * (-4428)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -1128, \"b\": -4428}", "seed": "11776642254493001933", "semantic_fingerprint": "sha256:b9eb1b4c48926d853109cb81b5dc4bdc790ce76bfb25975bf273252e7956d432", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006910", "prompt": "Solve for x: x = -26(x + 5753)", "solution_steps": ["Expand: x = -26x - 149578", "Add 26x to both sides: 27x = -149578", "Divide both sides by 27: x = -149578/27"], "final_answer": "-149578/27", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -26(x + 5753)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -26, \"b\": 5753}", "seed": "15152670107090372249", "semantic_fingerprint": "sha256:fc0dced4697b1ba904e2e841939668e776a35126d9662adf0c38186f0b6a466b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006911", "prompt": "Compute: 39383 + 91725", "solution_steps": ["Add: 39383 + 91725 = 131108"], "final_answer": "131108", "answer_type": "integer", "kind": "expression", "math_text": "39383 + 91725", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 39383, \"b\": 91725}", "seed": "6620421012042491974", "semantic_fingerprint": "sha256:2e21ddc77a786a874924f53ec58ed7f732afb7001f04bcc8234e3ecf3339165a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006912", "prompt": "Solve for x: 39(x - 1385) = -16(x + 4543) + 28133", "solution_steps": ["Expand: 39x - 54015 = -16(x + 4543) + 28133", "Expand: 39x - 54015 = -16x - 72688 + 28133", "Combine constants: 39x - 54015 = -16x - 44555", "Add 16x to both sides: 55x - 54015 = -44555", "Add 54015 to both sides: 55x = 9460", "Divide both sides by 55: x = 172"], "final_answer": "172", "answer_type": "integer", "kind": "linear_equation", "math_text": "39(x - 1385) = -16(x + 4543) + 28133", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 39, \"b\": 1385, \"c\": -16, \"d\": 4543, \"f\": 28133, \"x\": 172}", "seed": "6240529224700398823", "semantic_fingerprint": "sha256:a5c65266f4632a0fbb27c559f9cf7acd64ee476b8b5ab0a59d7a7c366fdbbd7e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006913", "prompt": "What is 8310 * 91557?", "solution_steps": ["Multiply: 8310 * 91557 = 760838670"], "final_answer": "760838670", "answer_type": "integer", "kind": "expression", "math_text": "8310 * 91557", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8310, \"b\": 91557}", "seed": "17139372165669483517", "semantic_fingerprint": "sha256:be5fcc0787a5ef7ac6cedcf5324176a484570b75e98bf671c35ee5e155ce287b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006914", "prompt": "Solve for x: 40(x - 5435) + 1549 = 21(x - 99343) - 9441", "solution_steps": ["Expand: 40x - 217400 + 1549 = 21(x - 99343) - 9441", "Expand: 40x - 217400 + 1549 = 21x - 2086203 - 9441", "Combine constants: 40x - 215851 = 21x - 2086203 - 9441", "Combine constants: 40x - 215851 = 21x - 2095644", "Subtract 21x from both sides: 19x - 215851 = -2095644", "Add 215851 to both sides: 19x = -1879793", "Divide both sides by 19: x = -1879793/19"], "final_answer": "-1879793/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "40(x - 5435) + 1549 = 21(x - 99343) - 9441", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 5435, \"c\": 1549, \"d\": 21, \"e\": 99343, \"f\": 9441}", "seed": "7275211396021481942", "semantic_fingerprint": "sha256:74f2f3dfd014ceebdc81399ab79a307f20f75cd06192544308046737650644d5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006915", "prompt": "Evaluate: 9860 / (-2401)", "solution_steps": ["Divide: 9860 / (-2401) = -9860/2401"], "final_answer": "-9860/2401", "answer_type": "rational", "kind": "expression", "math_text": "9860 / (-2401)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9860, \"b\": -2401}", "seed": "4644615468301861191", "semantic_fingerprint": "sha256:58010c15bb08ce6a7ccee0c2dd76617094b9b4c1d342a4270f37c7271f324e86", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006916", "prompt": "Calculate: (7898 + (21416 + 49487)) * (38255 + 6186)", "solution_steps": ["Add: 21416 + 49487 = 70903", "Add: 7898 + 70903 = 78801", "Add: 38255 + 6186 = 44441", "Multiply: 78801 * 44441 = 3501995241"], "final_answer": "3501995241", "answer_type": "integer", "kind": "expression", "math_text": "(7898 + (21416 + 49487)) * (38255 + 6186)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 7898, \"b\": 21416, \"c\": 49487, \"d\": 38255, \"e\": 6186}", "seed": "15671085469867385610", "semantic_fingerprint": "sha256:0d37c0fa309c02110e19cfee9e57e952e8d1a4022bd4340a4d03fb060c3e35e5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006917", "prompt": "Evaluate: -4129 * (28133 - 4602)", "solution_steps": ["Subtract: 28133 - 4602 = 23531", "Multiply: -4129 * 23531 = -97159499"], "final_answer": "-97159499", "answer_type": "integer", "kind": "expression", "math_text": "-4129 * (28133 - 4602)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -4129, \"b\": 28133, \"c\": 4602}", "seed": "3199698642198383058", "semantic_fingerprint": "sha256:f23c3cc0383ba65716659e251b58f58305db0a0d88869f467679965a5cd8f6af", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006918", "prompt": "Compute: -72962 - 4302 - (-5762) * 67726 / 3342", "solution_steps": ["Subtract: -72962 - 4302 = -77264", "Multiply: -5762 * 67726 = -390237212", "Divide: -390237212 / 3342 = -195118606/1671", "Subtract: -77264 - (-195118606/1671) = 66010462/1671"], "final_answer": "66010462/1671", "answer_type": "rational", "kind": "expression", "math_text": "-72962 - 4302 - (-5762) * 67726 / 3342", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -72962, \"b\": 4302, \"c\": -5762, \"d\": 67726, \"e\": 3342}", "seed": "18121452560353865931", "semantic_fingerprint": "sha256:732c484e3b8a1371524842b5e6b889e19d398243d144f041c11f135efa887efc", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006919", "prompt": "Compute: 4240 + (-1558 + (-9438))", "solution_steps": ["Add: -1558 + (-9438) = -10996", "Add: 4240 + (-10996) = -6756"], "final_answer": "-6756", "answer_type": "integer", "kind": "expression", "math_text": "4240 + (-1558 + (-9438))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 4240, \"b\": -1558, \"c\": -9438}", "seed": "17723031432713311779", "semantic_fingerprint": "sha256:d4ba27382674f7999042c567aeda0f2abe60628b7117c8cc4f72447478759eda", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006920", "prompt": "Calculate: 40059 / (-5298) * 7196", "solution_steps": ["Divide: 40059 / (-5298) = -13353/1766", "Multiply: (-13353/1766) * 7196 = -48044094/883"], "final_answer": "-48044094/883", "answer_type": "rational", "kind": "expression", "math_text": "40059 / (-5298) * 7196", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 40059, \"b\": -5298, \"c\": 7196}", "seed": "4614143622835622385", "semantic_fingerprint": "sha256:14cb1e72c244f81df7085efbf80f6be34f453d11442cde7ccfd01b6ff62f964a", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006921", "prompt": "Solve the equation 35x + 8130 = x + 13502 for x.", "solution_steps": ["Subtract x from both sides: 34x + 8130 = 13502", "Subtract 8130 from both sides: 34x = 5372", "Divide both sides by 34: x = 158"], "final_answer": "158", "answer_type": "integer", "kind": "linear_equation", "math_text": "35x + 8130 = x + 13502", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 35, \"b\": 8130, \"d\": 13502, \"x\": 158}", "seed": "2194217471767507254", "semantic_fingerprint": "sha256:4aebfe4b51c44df6ae85bc6cc4b76446e0e63e31a8e20127f4ec7a6af97704c5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006922", "prompt": "Evaluate: 8230 - (-7596)", "solution_steps": ["Subtract: 8230 - (-7596) = 15826"], "final_answer": "15826", "answer_type": "integer", "kind": "expression", "math_text": "8230 - (-7596)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 8230, \"b\": -7596}", "seed": "6189285571479854538", "semantic_fingerprint": "sha256:4d6c8a2b38d8560c2febcde892f00902af19bb1b9acb3c5eb1e0104d1e63dbc6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006923", "prompt": "What is 4575 * (-78422) * (5821 + (-4258))?", "solution_steps": ["Multiply: 4575 * (-78422) = -358780650", "Add: 5821 + (-4258) = 1563", "Multiply: -358780650 * 1563 = -560774155950"], "final_answer": "-560774155950", "answer_type": "integer", "kind": "expression", "math_text": "4575 * (-78422) * (5821 + (-4258))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 4575, \"b\": -78422, \"c\": 5821, \"d\": -4258}", "seed": "5969719969648759794", "semantic_fingerprint": "sha256:9141447420ec24ecc3f91b1203564674255547f4e184db757a080d7ffedd0432", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006924", "prompt": "Solve for x: 34(x + 5551) = x", "solution_steps": ["Expand: 34x + 188734 = x", "Subtract x from both sides: 33x + 188734 = 0", "Subtract 188734 from both sides: 33x = -188734", "Divide both sides by 33: x = -188734/33"], "final_answer": "-188734/33", "answer_type": "rational", "kind": "linear_equation", "math_text": "34(x + 5551) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 5551}", "seed": "12674388415979965184", "semantic_fingerprint": "sha256:7e0f6005d22a32b4d51662b5d918c0c7fe6b7c20674f0262686785a40facf3c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006925", "prompt": "Calculate: (-2013 - (-3800)) * (-39975)", "solution_steps": ["Subtract: -2013 - (-3800) = 1787", "Multiply: 1787 * (-39975) = -71435325"], "final_answer": "-71435325", "answer_type": "integer", "kind": "expression", "math_text": "(-2013 - (-3800)) * (-39975)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -2013, \"b\": -3800, \"c\": -39975}", "seed": "1012703124460337565", "semantic_fingerprint": "sha256:1f46415743b904975cd357beca6a5d4392f80f217e9e46b92bcc5c2348a6c575", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006926", "prompt": "Solve the equation -14(x + 4591) = x for x.", "solution_steps": ["Expand: -14x - 64274 = x", "Subtract x from both sides: -15x - 64274 = 0", "Add 64274 to both sides: -15x = 64274", "Divide both sides by -15: x = -64274/15"], "final_answer": "-64274/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-14(x + 4591) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -14, \"b\": 4591}", "seed": "16368383122615237030", "semantic_fingerprint": "sha256:99fb3597afb5a13d671db84b7e75bd5beca46cc1c6bab3d6ebb858b3ae60507d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006927", "prompt": "Compute: -3404 / (-12360) - (-1475)", "solution_steps": ["Divide: -3404 / (-12360) = 851/3090", "Subtract: 851/3090 - (-1475) = 4558601/3090"], "final_answer": "4558601/3090", "answer_type": "rational", "kind": "expression", "math_text": "-3404 / (-12360) - (-1475)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -3404, \"b\": -12360, \"c\": -1475}", "seed": "15342553458293048764", "semantic_fingerprint": "sha256:1e7e690080a8327b19434f4d35e693e99d8d774e65fb2e257567eb65b3c7bcfa", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006928", "prompt": "Compute: 96085 / (7010 - 96071)", "solution_steps": ["Subtract: 7010 - 96071 = -89061", "Divide: 96085 / (-89061) = -96085/89061"], "final_answer": "-96085/89061", "answer_type": "rational", "kind": "expression", "math_text": "96085 / (7010 - 96071)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 96085, \"b\": 7010, \"c\": 96071}", "seed": "7692630550548323376", "semantic_fingerprint": "sha256:6b9150b7b52f483f61c4d37443bad2a7b57acc1aa1ca909695640efd7c8a32e7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006929", "prompt": "Compute: 3472 + 5001", "solution_steps": ["Add: 3472 + 5001 = 8473"], "final_answer": "8473", "answer_type": "integer", "kind": "expression", "math_text": "3472 + 5001", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 3472, \"b\": 5001}", "seed": "11063247486481741923", "semantic_fingerprint": "sha256:c6211b57a51c8a4f15407ecebe79775e50cb92b344e1af8af7fd29a6b07b8050", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006930", "prompt": "Evaluate: 6407 / (-8497) * (-45684)", "solution_steps": ["Divide: 6407 / (-8497) = -6407/8497", "Multiply: (-6407/8497) * (-45684) = 292697388/8497"], "final_answer": "292697388/8497", "answer_type": "rational", "kind": "expression", "math_text": "6407 / (-8497) * (-45684)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6407, \"b\": -8497, \"c\": -45684}", "seed": "1506207771300715312", "semantic_fingerprint": "sha256:bda99ccdca72f9ca9b33e2f02486efbc89d38cc309e3958d1dca8588ce3359fb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006931", "prompt": "Calculate: 22777 - (-73624) / 4673", "solution_steps": ["Divide: -73624 / 4673 = -73624/4673", "Subtract: 22777 - (-73624/4673) = 106510545/4673"], "final_answer": "106510545/4673", "answer_type": "rational", "kind": "expression", "math_text": "22777 - (-73624) / 4673", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 22777, \"b\": -73624, \"c\": 4673}", "seed": "10678537579366882658", "semantic_fingerprint": "sha256:67ee36c9bc720a110ceb3853400adc68036b7ae30b15351482e4f2d6f7184aa6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006932", "prompt": "Calculate: (5180 / (-6803 / (-2703)) + (-7668 + (-1862))) * (-5365)", "solution_steps": ["Divide: -6803 / (-2703) = 6803/2703", "Divide: 5180 / (6803/2703) = 14001540/6803", "Add: -7668 + (-1862) = -9530", "Add: 14001540/6803 + (-9530) = -50831050/6803", "Multiply: (-50831050/6803) * (-5365) = 272708583250/6803"], "final_answer": "272708583250/6803", "answer_type": "rational", "kind": "expression", "math_text": "(5180 / (-6803 / (-2703)) + (-7668 + (-1862))) * (-5365)", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ n (/ n n)) (+ n n)) n)", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 5180, \"b\": -6803, \"c\": -2703, \"d\": -7668, \"e\": -1862, \"f\": -5365}", "seed": "16990125679276633633", "semantic_fingerprint": "sha256:4b3f25f48f346eef09d28251be105a1cc9efd9f3870831eb179bbb110d62f5c9", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006933", "prompt": "Calculate: 46193 + (-2846)", "solution_steps": ["Add: 46193 + (-2846) = 43347"], "final_answer": "43347", "answer_type": "integer", "kind": "expression", "math_text": "46193 + (-2846)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 46193, \"b\": -2846}", "seed": "10744500872528128218", "semantic_fingerprint": "sha256:e706718ff6950cadabbdb71856e1821be2648e4062c4b17ed345b2e9d9e67431", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006934", "prompt": "What value of x satisfies 15(x - 1759) = -24315?", "solution_steps": ["Expand: 15x - 26385 = -24315", "Add 26385 to both sides: 15x = 2070", "Divide both sides by 15: x = 138"], "final_answer": "138", "answer_type": "integer", "kind": "linear_equation", "math_text": "15(x - 1759) = -24315", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 15, \"b\": 1759, \"d\": -24315, \"x\": 138}", "seed": "9238423963346143648", "semantic_fingerprint": "sha256:0d0223a674c2d6b9b5f6c66a8c46cd3ad23fe1e0dfba759643d2a8641bda5ad1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006935", "prompt": "Calculate: 6203 / (-62120)", "solution_steps": ["Divide: 6203 / (-62120) = -6203/62120"], "final_answer": "-6203/62120", "answer_type": "rational", "kind": "expression", "math_text": "6203 / (-62120)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 6203, \"b\": -62120}", "seed": "14377496848556382329", "semantic_fingerprint": "sha256:ca7147f02e77f6810d1169ae67020c7cff7ab82d8f7a51d25376d0a2443a318f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006936", "prompt": "What is 4307 + (8516 + (-7084 + 5509) * (-53511))?", "solution_steps": ["Add: -7084 + 5509 = -1575", "Multiply: -1575 * (-53511) = 84279825", "Add: 8516 + 84279825 = 84288341", "Add: 4307 + 84288341 = 84292648"], "final_answer": "84292648", "answer_type": "integer", "kind": "expression", "math_text": "4307 + (8516 + (-7084 + 5509) * (-53511))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* (+ n n) n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 4307, \"b\": 8516, \"c\": -7084, \"d\": 5509, \"e\": -53511}", "seed": "16406538987704607408", "semantic_fingerprint": "sha256:d07527412d4df14d84660b6b19642ad22017265c14824e65f061ef31a9488cb1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006937", "prompt": "Find x: x - 52381 = 38x + 87077", "solution_steps": ["Subtract 38x from both sides: -37x - 52381 = 87077", "Add 52381 to both sides: -37x = 139458", "Divide both sides by -37: x = -139458/37"], "final_answer": "-139458/37", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 52381 = 38x + 87077", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 52381, \"b\": 38, \"c\": 87077}", "seed": "2873129438579630889", "semantic_fingerprint": "sha256:e6a4a24e54cd8b118992ac025d386445e3d11e67a31a54cc33621dc4cd9ec27b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006938", "prompt": "Calculate: (5329 * (-44626) + 9424) / (2657 + (-6473))", "solution_steps": ["Multiply: 5329 * (-44626) = -237811954", "Add: -237811954 + 9424 = -237802530", "Add: 2657 + (-6473) = -3816", "Divide: -237802530 / (-3816) = 39633755/636"], "final_answer": "39633755/636", "answer_type": "rational", "kind": "expression", "math_text": "(5329 * (-44626) + 9424) / (2657 + (-6473))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 5329, \"b\": -44626, \"c\": 9424, \"d\": 2657, \"e\": -6473}", "seed": "7441808282918565287", "semantic_fingerprint": "sha256:dc4b1847b6eb1863a3a5b4a7dead09412bf80a367d026e9a40e362fcaf4084b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006939", "prompt": "What is 9268 / (-57756)?", "solution_steps": ["Divide: 9268 / (-57756) = -2317/14439"], "final_answer": "-2317/14439", "answer_type": "rational", "kind": "expression", "math_text": "9268 / (-57756)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9268, \"b\": -57756}", "seed": "16797051548502945355", "semantic_fingerprint": "sha256:10b29d5ab8bc0fc4a302b451d9832cb9c15303f0161aa08ec0978a89e843984f", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006940", "prompt": "Calculate: 13375 * (6148 + 53075)", "solution_steps": ["Add: 6148 + 53075 = 59223", "Multiply: 13375 * 59223 = 792107625"], "final_answer": "792107625", "answer_type": "integer", "kind": "expression", "math_text": "13375 * (6148 + 53075)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 13375, \"b\": 6148, \"c\": 53075}", "seed": "3346711013347293399", "semantic_fingerprint": "sha256:6de299ec7393032c0e112711041ea46c888daf972e46145feab3ce1472073247", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006941", "prompt": "Solve for x: 38x = -25(x - 46747) - 7270", "solution_steps": ["Expand: 38x = -25x + 1168675 - 7270", "Combine constants: 38x = -25x + 1161405", "Add 25x to both sides: 63x = 1161405", "Divide both sides by 63: x = 18435"], "final_answer": "18435", "answer_type": "integer", "kind": "linear_equation", "math_text": "38x = -25(x - 46747) - 7270", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 38, \"b\": -25, \"c\": 46747, \"d\": 7270}", "seed": "2491028007063875316", "semantic_fingerprint": "sha256:dc3d8159306fdcf49447089eaf593ce2b977684d2a3ba8a3898d7b5780f6aa3e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006942", "prompt": "Compute: 6271 * (3697 - (-2367)) - (-43761 - 6328)", "solution_steps": ["Subtract: 3697 - (-2367) = 6064", "Multiply: 6271 * 6064 = 38027344", "Subtract: -43761 - 6328 = -50089", "Subtract: 38027344 - (-50089) = 38077433"], "final_answer": "38077433", "answer_type": "integer", "kind": "expression", "math_text": "6271 * (3697 - (-2367)) - (-43761 - 6328)", "variable": null, "family": "expression_4op", "shape": "(- (* n (- n n)) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 6271, \"b\": 3697, \"c\": -2367, \"d\": -43761, \"e\": 6328}", "seed": "9171640782605878703", "semantic_fingerprint": "sha256:f348da0f699f524b010da91dcd1b1969b76f74f810b2e92101a327eb366d9113", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006943", "prompt": "Evaluate: (2097 - (-3140) + (35610 - 52613)) / (-64753 - (-2032))", "solution_steps": ["Subtract: 2097 - (-3140) = 5237", "Subtract: 35610 - 52613 = -17003", "Add: 5237 + (-17003) = -11766", "Subtract: -64753 - (-2032) = -62721", "Divide: -11766 / (-62721) = 3922/20907"], "final_answer": "3922/20907", "answer_type": "rational", "kind": "expression", "math_text": "(2097 - (-3140) + (35610 - 52613)) / (-64753 - (-2032))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 2097, \"b\": -3140, \"c\": 35610, \"d\": 52613, \"e\": -64753, \"f\": -2032}", "seed": "13455583443711288580", "semantic_fingerprint": "sha256:1f9ebd73f08fdd9a55de86b09fa1883b259120f7cb2ab79fca91e3ff9d4fbab3", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006944", "prompt": "Evaluate: -95197 * 44555", "solution_steps": ["Multiply: -95197 * 44555 = -4241502335"], "final_answer": "-4241502335", "answer_type": "integer", "kind": "expression", "math_text": "-95197 * 44555", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -95197, \"b\": 44555}", "seed": "1446944698227210729", "semantic_fingerprint": "sha256:631a600533c5f11c3add879cb514d1177b2b739f30fcf6a5bfc2c00f3c655ac6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006945", "prompt": "What is (3850 + (-9284 + (-1649))) / 47012?", "solution_steps": ["Add: -9284 + (-1649) = -10933", "Add: 3850 + (-10933) = -7083", "Divide: -7083 / 47012 = -7083/47012"], "final_answer": "-7083/47012", "answer_type": "rational", "kind": "expression", "math_text": "(3850 + (-9284 + (-1649))) / 47012", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 3850, \"b\": -9284, \"c\": -1649, \"d\": 47012}", "seed": "14425073390938530099", "semantic_fingerprint": "sha256:cda01772833d3dbcf03712baa4b82f18f17c1306819aab67e4f71d5fcabc8470", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006946", "prompt": "What value of x satisfies 28(x + 1290) = 39x + 36670?", "solution_steps": ["Expand: 28x + 36120 = 39x + 36670", "Subtract 39x from both sides: -11x + 36120 = 36670", "Subtract 36120 from both sides: -11x = 550", "Divide both sides by -11: x = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "linear_equation", "math_text": "28(x + 1290) = 39x + 36670", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 28, \"b\": 1290, \"c\": 39, \"e\": 36670, \"x\": -50}", "seed": "9610484417490579751", "semantic_fingerprint": "sha256:58d79da1a92bfb8b2ccc2057d8e74e38d19f0152b19c2375c6b05f0131d46448", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006947", "prompt": "Calculate: -56590 - (74274 - (-5680)) / (-3224)", "solution_steps": ["Subtract: 74274 - (-5680) = 79954", "Divide: 79954 / (-3224) = -39977/1612", "Subtract: -56590 - (-39977/1612) = -91183103/1612"], "final_answer": "-91183103/1612", "answer_type": "rational", "kind": "expression", "math_text": "-56590 - (74274 - (-5680)) / (-3224)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -56590, \"b\": 74274, \"c\": -5680, \"d\": -3224}", "seed": "11494401854824009748", "semantic_fingerprint": "sha256:d65d8c344997ad6e77a5452a14df442a5f7748aaa5b985421cdd6e3d10fd7d1c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006948", "prompt": "Evaluate: 8364 * (-47408) + 8895 - (-52580 - (-55715))", "solution_steps": ["Multiply: 8364 * (-47408) = -396520512", "Add: -396520512 + 8895 = -396511617", "Subtract: -52580 - (-55715) = 3135", "Subtract: -396511617 - 3135 = -396514752"], "final_answer": "-396514752", "answer_type": "integer", "kind": "expression", "math_text": "8364 * (-47408) + 8895 - (-52580 - (-55715))", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 8364, \"b\": -47408, \"c\": 8895, \"d\": -52580, \"e\": -55715}", "seed": "9156250986657627135", "semantic_fingerprint": "sha256:919367e4ce1f303ec35e3bb0aabecc942ee513d12d1f6b742780da6c4e768cb6", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006949", "prompt": "Solve for x: 14(x - 32762) + 78944 = 27(x - 77726) - 6424", "solution_steps": ["Expand: 14x - 458668 + 78944 = 27(x - 77726) - 6424", "Expand: 14x - 458668 + 78944 = 27x - 2098602 - 6424", "Combine constants: 14x - 379724 = 27x - 2098602 - 6424", "Combine constants: 14x - 379724 = 27x - 2105026", "Subtract 27x from both sides: -13x - 379724 = -2105026", "Add 379724 to both sides: -13x = -1725302", "Divide both sides by -13: x = 1725302/13"], "final_answer": "1725302/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "14(x - 32762) + 78944 = 27(x - 77726) - 6424", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 32762, \"c\": 78944, \"d\": 27, \"e\": 77726, \"f\": 6424}", "seed": "18138424304396075022", "semantic_fingerprint": "sha256:7839608c52059f5c5c0f94f81ec7da32a07ac5ab589e7fb6fe6f9432f1a04e81", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006950", "prompt": "What is (5514 + (-4324)) / (-43186) - 5986?", "solution_steps": ["Add: 5514 + (-4324) = 1190", "Divide: 1190 / (-43186) = -595/21593", "Subtract: -595/21593 - 5986 = -129256293/21593"], "final_answer": "-129256293/21593", "answer_type": "rational", "kind": "expression", "math_text": "(5514 + (-4324)) / (-43186) - 5986", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5514, \"b\": -4324, \"c\": -43186, \"d\": 5986}", "seed": "11630320205807235985", "semantic_fingerprint": "sha256:11e964ac0ad6311698af7e26e3231038d7c2e64f65ce5f006d3daebc4a8d5a3b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006951", "prompt": "What value of x satisfies -38x + 38665 = 39(x + 1331)?", "solution_steps": ["Expand: -38x + 38665 = 39x + 51909", "Subtract 39x from both sides: -77x + 38665 = 51909", "Subtract 38665 from both sides: -77x = 13244", "Divide both sides by -77: x = -172"], "final_answer": "-172", "answer_type": "integer", "kind": "linear_equation", "math_text": "-38x + 38665 = 39(x + 1331)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -38, \"b\": 39, \"c\": 1331, \"e\": 38665, \"x\": -172}", "seed": "17353651533935526552", "semantic_fingerprint": "sha256:01f526dd2f775498ca1ce65c36cd52e44a5d6ab9847f1b837ba462af4bca4e89", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006952", "prompt": "Solve the equation 14(x - 6393) = 19(x - 8169) + 65304 for x.", "solution_steps": ["Expand: 14x - 89502 = 19(x - 8169) + 65304", "Expand: 14x - 89502 = 19x - 155211 + 65304", "Combine constants: 14x - 89502 = 19x - 89907", "Subtract 19x from both sides: -5x - 89502 = -89907", "Add 89502 to both sides: -5x = -405", "Divide both sides by -5: x = 81"], "final_answer": "81", "answer_type": "integer", "kind": "linear_equation", "math_text": "14(x - 6393) = 19(x - 8169) + 65304", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 14, \"b\": 6393, \"c\": 19, \"d\": 8169, \"f\": 65304, \"x\": 81}", "seed": "967324037892058878", "semantic_fingerprint": "sha256:20d12eca671ccaea98dfac68e45c55bf92d26b9b94a570b33997cdf2a0cea037", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006953", "prompt": "Compute: 83027 * (83331 + (-45743 - 85918)) - 7151", "solution_steps": ["Subtract: -45743 - 85918 = -131661", "Add: 83331 + (-131661) = -48330", "Multiply: 83027 * (-48330) = -4012694910", "Subtract: -4012694910 - 7151 = -4012702061"], "final_answer": "-4012702061", "answer_type": "integer", "kind": "expression", "math_text": "83027 * (83331 + (-45743 - 85918)) - 7151", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n (- n n))) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 83027, \"b\": 83331, \"c\": -45743, \"d\": 85918, \"e\": 7151}", "seed": "1666299225799150814", "semantic_fingerprint": "sha256:e3eb976cabc40a0c1fe091b22a515ce07f941a72c598e3d6f307c4d148f2bc85", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006954", "prompt": "Calculate: -12430 - 8233 - (-5414)", "solution_steps": ["Subtract: -12430 - 8233 = -20663", "Subtract: -20663 - (-5414) = -15249"], "final_answer": "-15249", "answer_type": "integer", "kind": "expression", "math_text": "-12430 - 8233 - (-5414)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -12430, \"b\": 8233, \"c\": -5414}", "seed": "14607688429864757012", "semantic_fingerprint": "sha256:7fcf9e900c290ba65f56e4322028ec9fd50c67cc616b398f4d33b005b5eaf16b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006955", "prompt": "Find x: 40x - 32567 = x - 35375", "solution_steps": ["Subtract x from both sides: 39x - 32567 = -35375", "Add 32567 to both sides: 39x = -2808", "Divide both sides by 39: x = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "linear_equation", "math_text": "40x - 32567 = x - 35375", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 40, \"b\": 32567, \"d\": -35375, \"x\": -72}", "seed": "16599502752680941146", "semantic_fingerprint": "sha256:d40bc6a566335351e963cb01dcd8b16bb85b5cca7717476987e83b1522e5770e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006956", "prompt": "Solve the equation x + 5524 = 37x - 1677 for x.", "solution_steps": ["Subtract 37x from both sides: -36x + 5524 = -1677", "Subtract 5524 from both sides: -36x = -7201", "Divide both sides by -36: x = 7201/36"], "final_answer": "7201/36", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5524 = 37x - 1677", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 5524, \"b\": 37, \"c\": 1677}", "seed": "5280470242376231920", "semantic_fingerprint": "sha256:0692cc58631e78477547368b5b6e78172d46275792a1abaf81c3ec9ac882e033", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006957", "prompt": "Calculate: 8660 - (-22256) + (-7950 + (-18865) / (-56750 + 9279))", "solution_steps": ["Subtract: 8660 - (-22256) = 30916", "Add: -56750 + 9279 = -47471", "Divide: -18865 / (-47471) = 18865/47471", "Add: -7950 + 18865/47471 = -377375585/47471", "Add: 30916 + (-377375585/47471) = 1090237851/47471"], "final_answer": "1090237851/47471", "answer_type": "rational", "kind": "expression", "math_text": "8660 - (-22256) + (-7950 + (-18865) / (-56750 + 9279))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ n (/ n (+ n n))))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 8660, \"b\": -22256, \"c\": -7950, \"d\": -18865, \"e\": -56750, \"f\": 9279}", "seed": "3354171782710028603", "semantic_fingerprint": "sha256:4c1f885abf79db19ab1b68884ce419f5a04626a1036a0a78196db5f058ca5b75", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006958", "prompt": "Calculate: -6398 / (-5093 + 33287)", "solution_steps": ["Add: -5093 + 33287 = 28194", "Divide: -6398 / 28194 = -3199/14097"], "final_answer": "-3199/14097", "answer_type": "rational", "kind": "expression", "math_text": "-6398 / (-5093 + 33287)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6398, \"b\": -5093, \"c\": 33287}", "seed": "5778877067929943960", "semantic_fingerprint": "sha256:dfec0fadd5780f25f1bdc5076915535c146fa064486f1488e009ac48904279ce", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006959", "prompt": "Evaluate: 47813 - (-17950) + (-2656 + (89584 + 6404))", "solution_steps": ["Subtract: 47813 - (-17950) = 65763", "Add: 89584 + 6404 = 95988", "Add: -2656 + 95988 = 93332", "Add: 65763 + 93332 = 159095"], "final_answer": "159095", "answer_type": "integer", "kind": "expression", "math_text": "47813 - (-17950) + (-2656 + (89584 + 6404))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 47813, \"b\": -17950, \"c\": -2656, \"d\": 89584, \"e\": 6404}", "seed": "17316645053065802431", "semantic_fingerprint": "sha256:16de1fdb6c5aad03cd6dd9fb1ac45366564604c219c38fba73e59fa4d47448f7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006960", "prompt": "Evaluate: -8655 + 50536 / (-2757)", "solution_steps": ["Divide: 50536 / (-2757) = -50536/2757", "Add: -8655 + (-50536/2757) = -23912371/2757"], "final_answer": "-23912371/2757", "answer_type": "rational", "kind": "expression", "math_text": "-8655 + 50536 / (-2757)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8655, \"b\": 50536, \"c\": -2757}", "seed": "17841667547833988065", "semantic_fingerprint": "sha256:738446ca3ae55e4c8c01d538342b6707518438b9f2af3c8f9dd0570d86162ffb", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006961", "prompt": "Compute: -7641 * (-74182)", "solution_steps": ["Multiply: -7641 * (-74182) = 566824662"], "final_answer": "566824662", "answer_type": "integer", "kind": "expression", "math_text": "-7641 * (-74182)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -7641, \"b\": -74182}", "seed": "16850307681074912450", "semantic_fingerprint": "sha256:ee6473f27cb6bb3e94a4f2dc9e69792f3348aa1163ca20578881b3bf11cf7939", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006962", "prompt": "Compute: 7067 - (-4411) / 86479", "solution_steps": ["Divide: -4411 / 86479 = -4411/86479", "Subtract: 7067 - (-4411/86479) = 611151504/86479"], "final_answer": "611151504/86479", "answer_type": "rational", "kind": "expression", "math_text": "7067 - (-4411) / 86479", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 7067, \"b\": -4411, \"c\": 86479}", "seed": "2973104697072926082", "semantic_fingerprint": "sha256:cc7064ce2699584a333deb1c083b6890f845a551f0e63fda37a5e54c4cc1b318", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006963", "prompt": "Evaluate: -6629 * (-5359 / (-6388 - (-1520)))", "solution_steps": ["Subtract: -6388 - (-1520) = -4868", "Divide: -5359 / (-4868) = 5359/4868", "Multiply: -6629 * (5359/4868) = -35524811/4868"], "final_answer": "-35524811/4868", "answer_type": "rational", "kind": "expression", "math_text": "-6629 * (-5359 / (-6388 - (-1520)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -6629, \"b\": -5359, \"c\": -6388, \"d\": -1520}", "seed": "6138803520674812188", "semantic_fingerprint": "sha256:c1579297ae3494263afa29c291010103a74ee1680c523e307f5ac2cb2d02f544", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006964", "prompt": "What is -86070 - 70360 / 60968?", "solution_steps": ["Divide: 70360 / 60968 = 8795/7621", "Subtract: -86070 - 8795/7621 = -655948265/7621"], "final_answer": "-655948265/7621", "answer_type": "rational", "kind": "expression", "math_text": "-86070 - 70360 / 60968", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -86070, \"b\": 70360, \"c\": 60968}", "seed": "8212535003156162927", "semantic_fingerprint": "sha256:b727ceea0015ccbc5ae0ab6134fe6c07c7dd862bbcc6e534ca734c54b38be4c1", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006965", "prompt": "Solve the equation 29(x - 7067) = 19(x + 8667) for x.", "solution_steps": ["Expand: 29x - 204943 = 19(x + 8667)", "Expand: 29x - 204943 = 19x + 164673", "Subtract 19x from both sides: 10x - 204943 = 164673", "Add 204943 to both sides: 10x = 369616", "Divide both sides by 10: x = 184808/5"], "final_answer": "184808/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "29(x - 7067) = 19(x + 8667)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 29, \"b\": 7067, \"c\": 19, \"d\": 8667}", "seed": "16414754638277780479", "semantic_fingerprint": "sha256:abf5a23420f11a9459c656adabbfa2af4c12c2ad18af733e329181a396279e49", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006966", "prompt": "Compute: (-8271 - 8707) / (-23897)", "solution_steps": ["Subtract: -8271 - 8707 = -16978", "Divide: -16978 / (-23897) = 16978/23897"], "final_answer": "16978/23897", "answer_type": "rational", "kind": "expression", "math_text": "(-8271 - 8707) / (-23897)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -8271, \"b\": 8707, \"c\": -23897}", "seed": "17439678305974828013", "semantic_fingerprint": "sha256:38eb3b5b6f51260625cc89f34a159520d624ff16880ca40871dfb1e13faba3c7", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006967", "prompt": "Compute: -9110 - (-2154) - (-62619) + (-7808) - 5100", "solution_steps": ["Subtract: -9110 - (-2154) = -6956", "Subtract: -6956 - (-62619) = 55663", "Add: 55663 + (-7808) = 47855", "Subtract: 47855 - 5100 = 42755"], "final_answer": "42755", "answer_type": "integer", "kind": "expression", "math_text": "-9110 - (-2154) - (-62619) + (-7808) - 5100", "variable": null, "family": "expression_4op", "shape": "(- (+ (- (- n n) n) n) n)", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": -9110, \"b\": -2154, \"c\": -62619, \"d\": -7808, \"e\": 5100}", "seed": "14775245815061071212", "semantic_fingerprint": "sha256:aa6d646a63b86dc73f394410271c2214a05adde44f7f5442ceeaf768e4eca5a2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006968", "prompt": "Solve the equation -17(x + 1694) - 3934 = 13(x + 8061) + 36291 for x.", "solution_steps": ["Expand: -17x - 28798 - 3934 = 13(x + 8061) + 36291", "Expand: -17x - 28798 - 3934 = 13x + 104793 + 36291", "Combine constants: -17x - 32732 = 13x + 104793 + 36291", "Combine constants: -17x - 32732 = 13x + 141084", "Subtract 13x from both sides: -30x - 32732 = 141084", "Add 32732 to both sides: -30x = 173816", "Divide both sides by -30: x = -86908/15"], "final_answer": "-86908/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-17(x + 1694) - 3934 = 13(x + 8061) + 36291", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -17, \"b\": 1694, \"c\": 3934, \"d\": 13, \"e\": 8061, \"f\": 36291}", "seed": "6537752647731696863", "semantic_fingerprint": "sha256:454e2dcbb9b1dcdaa5666f95bcfcb2b039150f20336be681a63d1d6ffff8b7b5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006969", "prompt": "Compute: (9288 - 91106) * (-24629)", "solution_steps": ["Subtract: 9288 - 91106 = -81818", "Multiply: -81818 * (-24629) = 2015095522"], "final_answer": "2015095522", "answer_type": "integer", "kind": "expression", "math_text": "(9288 - 91106) * (-24629)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 9288, \"b\": 91106, \"c\": -24629}", "seed": "16867576700441982997", "semantic_fingerprint": "sha256:3ca84d531f8b9539fd14925a53e1862fa39142aa2229b5d31e78642324dcdf84", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006970", "prompt": "Find x: x = 31(x - 1047) + 30567", "solution_steps": ["Expand: x = 31x - 32457 + 30567", "Combine constants: x = 31x - 1890", "Subtract 31x from both sides: -30x = -1890", "Divide both sides by -30: x = 63"], "final_answer": "63", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 31(x - 1047) + 30567", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 31, \"b\": 1047, \"d\": 30567, \"x\": 63}", "seed": "17219869527931577599", "semantic_fingerprint": "sha256:86dbd638305d954a9b966e7ecfaabccdeee82c299ef93be077ba878eee9cd01c", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006971", "prompt": "Evaluate: (-6937 + (-2105) + 5087 * (-46301)) / (-2924 - (-74859))", "solution_steps": ["Add: -6937 + (-2105) = -9042", "Multiply: 5087 * (-46301) = -235533187", "Add: -9042 + (-235533187) = -235542229", "Subtract: -2924 - (-74859) = 71935", "Divide: -235542229 / 71935 = -235542229/71935"], "final_answer": "-235542229/71935", "answer_type": "rational", "kind": "expression", "math_text": "(-6937 + (-2105) + 5087 * (-46301)) / (-2924 - (-74859))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": -6937, \"b\": -2105, \"c\": 5087, \"d\": -46301, \"e\": -2924, \"f\": -74859}", "seed": "14239453717452668762", "semantic_fingerprint": "sha256:c025557dc0ac8cd68d993e325a15a80fa786de730a5039d51e0c4c7e6cc5e853", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006972", "prompt": "Calculate: 68403 - (57481 + (-8334))", "solution_steps": ["Add: 57481 + (-8334) = 49147", "Subtract: 68403 - 49147 = 19256"], "final_answer": "19256", "answer_type": "integer", "kind": "expression", "math_text": "68403 - (57481 + (-8334))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 68403, \"b\": 57481, \"c\": -8334}", "seed": "8495978319412888323", "semantic_fingerprint": "sha256:54a24d3de904dcac5be0671d69e42350c25a630289f3a3f6c645c03a8e171682", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006973", "prompt": "Evaluate: 2586 / (-43043)", "solution_steps": ["Divide: 2586 / (-43043) = -2586/43043"], "final_answer": "-2586/43043", "answer_type": "rational", "kind": "expression", "math_text": "2586 / (-43043)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2586, \"b\": -43043}", "seed": "7525199531849702675", "semantic_fingerprint": "sha256:d1aa8f4683ffa1d00f44cc6c833ea59cba8d1e538c69b54f3c4ba3fe66ae851e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006974", "prompt": "Evaluate: -40795 * 19071", "solution_steps": ["Multiply: -40795 * 19071 = -778001445"], "final_answer": "-778001445", "answer_type": "integer", "kind": "expression", "math_text": "-40795 * 19071", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -40795, \"b\": 19071}", "seed": "13809622844654751214", "semantic_fingerprint": "sha256:f8161df9942ffebee3fa8ab65359b97cbd77ed9804ff3ac2a5c34d3a4d7a5d60", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006975", "prompt": "Evaluate: (-5123 + 1934 - (-37812)) / 4630", "solution_steps": ["Add: -5123 + 1934 = -3189", "Subtract: -3189 - (-37812) = 34623", "Divide: 34623 / 4630 = 34623/4630"], "final_answer": "34623/4630", "answer_type": "rational", "kind": "expression", "math_text": "(-5123 + 1934 - (-37812)) / 4630", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -5123, \"b\": 1934, \"c\": -37812, \"d\": 4630}", "seed": "7160628815941597890", "semantic_fingerprint": "sha256:9245f4e81d6c966a5d534d943381c11d441ef77ac2971f08c068498224b00502", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006976", "prompt": "Evaluate: (1990 - (-43268) - (-5780)) / 4345", "solution_steps": ["Subtract: 1990 - (-43268) = 45258", "Subtract: 45258 - (-5780) = 51038", "Divide: 51038 / 4345 = 51038/4345"], "final_answer": "51038/4345", "answer_type": "rational", "kind": "expression", "math_text": "(1990 - (-43268) - (-5780)) / 4345", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 1990, \"b\": -43268, \"c\": -5780, \"d\": 4345}", "seed": "14122242964117535399", "semantic_fingerprint": "sha256:e724fffb85dc52706489f844d949be84c902e581567865d4ab31598edf009c74", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006977", "prompt": "Compute: 9656 + (7465 / (-58403) + 22672)", "solution_steps": ["Divide: 7465 / (-58403) = -7465/58403", "Add: -7465/58403 + 22672 = 1324105351/58403", "Add: 9656 + 1324105351/58403 = 1888044719/58403"], "final_answer": "1888044719/58403", "answer_type": "rational", "kind": "expression", "math_text": "9656 + (7465 / (-58403) + 22672)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 9656, \"b\": 7465, \"c\": -58403, \"d\": 22672}", "seed": "4219762165367643129", "semantic_fingerprint": "sha256:caa28642936eea68c31dd45bc40d466ed6d3899b4f75504a3bb24229ce138526", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006978", "prompt": "What value of x satisfies 13x = 28(x - 7441)?", "solution_steps": ["Expand: 13x = 28x - 208348", "Subtract 28x from both sides: -15x = -208348", "Divide both sides by -15: x = 208348/15"], "final_answer": "208348/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "13x = 28(x - 7441)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 13, \"b\": 28, \"c\": 7441}", "seed": "9908907904554530250", "semantic_fingerprint": "sha256:bab4aa5137cae5a6c640520489f6d075ebff8fcf9958d129e1f0fda07193f03d", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006979", "prompt": "Calculate: 9750 / (-2596 - 5275 - (24235 - (-4425)))", "solution_steps": ["Subtract: -2596 - 5275 = -7871", "Subtract: 24235 - (-4425) = 28660", "Subtract: -7871 - 28660 = -36531", "Divide: 9750 / (-36531) = -3250/12177"], "final_answer": "-3250/12177", "answer_type": "rational", "kind": "expression", "math_text": "9750 / (-2596 - 5275 - (24235 - (-4425)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n n) (- n n)))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 9750, \"b\": -2596, \"c\": 5275, \"d\": 24235, \"e\": -4425}", "seed": "11747333178993925486", "semantic_fingerprint": "sha256:63dab5e11b8cbd193f9c61f57d1e306748e3c2935907e1d615996fdfc42d1884", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006980", "prompt": "What value of x satisfies -40x + 27314 = 29x?", "solution_steps": ["Subtract 29x from both sides: -69x + 27314 = 0", "Subtract 27314 from both sides: -69x = -27314", "Divide both sides by -69: x = 27314/69"], "final_answer": "27314/69", "answer_type": "rational", "kind": "linear_equation", "math_text": "-40x + 27314 = 29x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -40, \"b\": 27314, \"c\": 29}", "seed": "2235665958487019217", "semantic_fingerprint": "sha256:fbe64bd9dc4851802db9755d8d0346d4db4a98d150bd46f531cef9dbed294786", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006981", "prompt": "Evaluate: -2730 - (-95189)", "solution_steps": ["Subtract: -2730 - (-95189) = 92459"], "final_answer": "92459", "answer_type": "integer", "kind": "expression", "math_text": "-2730 - (-95189)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": -2730, \"b\": -95189}", "seed": "7082691130208410620", "semantic_fingerprint": "sha256:a4f598287f91623e39a7f22b3685bf916c6185c4e6faeacdb9611963944def27", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006982", "prompt": "Calculate: -64038 + (-95486) / (-4352)", "solution_steps": ["Divide: -95486 / (-4352) = 47743/2176", "Add: -64038 + 47743/2176 = -139298945/2176"], "final_answer": "-139298945/2176", "answer_type": "rational", "kind": "expression", "math_text": "-64038 + (-95486) / (-4352)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -64038, \"b\": -95486, \"c\": -4352}", "seed": "18412567777330281817", "semantic_fingerprint": "sha256:490d37b00ac4c5c6a1533606e1917ede48afe35ab431672dedc83f82db672639", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006983", "prompt": "What value of x satisfies 26(x - 7610) = x?", "solution_steps": ["Expand: 26x - 197860 = x", "Subtract x from both sides: 25x - 197860 = 0", "Add 197860 to both sides: 25x = 197860", "Divide both sides by 25: x = 39572/5"], "final_answer": "39572/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "26(x - 7610) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 26, \"b\": 7610}", "seed": "5011602810198176115", "semantic_fingerprint": "sha256:bc8b31baa21319665e9f74ab76666b88f7352d4f5a7edc07f1678982d9da34e2", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006984", "prompt": "Calculate: 6082 - 40291", "solution_steps": ["Subtract: 6082 - 40291 = -34209"], "final_answer": "-34209", "answer_type": "integer", "kind": "expression", "math_text": "6082 - 40291", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 6082, \"b\": 40291}", "seed": "11160087828394496057", "semantic_fingerprint": "sha256:381eee9a1d4020bfee42e9e7c72308a58789ae28970b12f354ce5feebdbbe2f4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006985", "prompt": "Compute: (30411 - (-36980)) / (-43177) + 1713", "solution_steps": ["Subtract: 30411 - (-36980) = 67391", "Divide: 67391 / (-43177) = -67391/43177", "Add: -67391/43177 + 1713 = 73894810/43177"], "final_answer": "73894810/43177", "answer_type": "rational", "kind": "expression", "math_text": "(30411 - (-36980)) / (-43177) + 1713", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 30411, \"b\": -36980, \"c\": -43177, \"d\": 1713}", "seed": "8730850671987090122", "semantic_fingerprint": "sha256:0ea8f1c161e43ff22e028a2c907d5342b07d0df891a6df0e6f0ea0c2192866c0", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006986", "prompt": "What is 59146 - 8744?", "solution_steps": ["Subtract: 59146 - 8744 = 50402"], "final_answer": "50402", "answer_type": "integer", "kind": "expression", "math_text": "59146 - 8744", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 59146, \"b\": 8744}", "seed": "1798968420139817316", "semantic_fingerprint": "sha256:469c6aa10dd79850677a04a8d1c17ad6bafe5c5f934d9e183532dcce385934c8", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006987", "prompt": "What is -45489 / (-4584)?", "solution_steps": ["Divide: -45489 / (-4584) = 15163/1528"], "final_answer": "15163/1528", "answer_type": "rational", "kind": "expression", "math_text": "-45489 / (-4584)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -45489, \"b\": -4584}", "seed": "9034098645268392895", "semantic_fingerprint": "sha256:5850c2f203e3010ce2952f975a2637dfd45511951d32191711f937e39486e167", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006988", "prompt": "Solve the equation 16(x + 3023) = 40(x + 1488) - 15376 for x.", "solution_steps": ["Expand: 16x + 48368 = 40(x + 1488) - 15376", "Expand: 16x + 48368 = 40x + 59520 - 15376", "Combine constants: 16x + 48368 = 40x + 44144", "Subtract 40x from both sides: -24x + 48368 = 44144", "Subtract 48368 from both sides: -24x = -4224", "Divide both sides by -24: x = 176"], "final_answer": "176", "answer_type": "integer", "kind": "linear_equation", "math_text": "16(x + 3023) = 40(x + 1488) - 15376", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 16, \"b\": 3023, \"c\": 40, \"d\": 1488, \"f\": -15376, \"x\": 176}", "seed": "15825815865695076956", "semantic_fingerprint": "sha256:2de993d7297571d94770329116121bf7b02415eb3d66ff60fd291d93f3bb10b4", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006989", "prompt": "What is 82665 - (-77719 + 61414) - (4878 / 30554 + 4124)?", "solution_steps": ["Add: -77719 + 61414 = -16305", "Subtract: 82665 - (-16305) = 98970", "Divide: 4878 / 30554 = 2439/15277", "Add: 2439/15277 + 4124 = 63004787/15277", "Subtract: 98970 - 63004787/15277 = 1448959903/15277"], "final_answer": "1448959903/15277", "answer_type": "rational", "kind": "expression", "math_text": "82665 - (-77719 + 61414) - (4878 / 30554 + 4124)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "extrapolation", "params": "{\"a\": 82665, \"b\": -77719, \"c\": 61414, \"d\": 4878, \"e\": 30554, \"f\": 4124}", "seed": "1769908664388242163", "semantic_fingerprint": "sha256:afc6396d74484641157824880b08556feb898d3a921622c9b4b5d5d9d09a4f52", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006990", "prompt": "What is 2640 * 5183?", "solution_steps": ["Multiply: 2640 * 5183 = 13683120"], "final_answer": "13683120", "answer_type": "integer", "kind": "expression", "math_text": "2640 * 5183", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "extrapolation", "params": "{\"a\": 2640, \"b\": 5183}", "seed": "13805282267031555028", "semantic_fingerprint": "sha256:a961449f71590db9570fd02402e05f9846867c808ae3fe9a8dedefd519da5840", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006991", "prompt": "Compute: -96075 - 15087 - (-1793) * (-41834)", "solution_steps": ["Subtract: -96075 - 15087 = -111162", "Multiply: -1793 * (-41834) = 75008362", "Subtract: -111162 - 75008362 = -75119524"], "final_answer": "-75119524", "answer_type": "integer", "kind": "expression", "math_text": "-96075 - 15087 - (-1793) * (-41834)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -96075, \"b\": 15087, \"c\": -1793, \"d\": -41834}", "seed": "2053126483995156317", "semantic_fingerprint": "sha256:ef4e0a78d9699faea82fe5893ba603b1cd44a8685d3fed97de85612e509b7ad5", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006992", "prompt": "Evaluate: 2213 * (5473 / 3838) * (-5858 / (-37385))", "solution_steps": ["Divide: 5473 / 3838 = 5473/3838", "Multiply: 2213 * (5473/3838) = 12111749/3838", "Divide: -5858 / (-37385) = 5858/37385", "Multiply: (12111749/3838) * (5858/37385) = 351240721/710315"], "final_answer": "351240721/710315", "answer_type": "rational", "kind": "expression", "math_text": "2213 * (5473 / 3838) * (-5858 / (-37385))", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "extrapolation", "params": "{\"a\": 2213, \"b\": 5473, \"c\": 3838, \"d\": -5858, \"e\": -37385}", "seed": "9471139370522146673", "semantic_fingerprint": "sha256:4028691584c45a277b4e7b1eac907d17817c45b1d49332dea456045e78703ecf", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006993", "prompt": "What is 2076 + (-8645 - (-8579))?", "solution_steps": ["Subtract: -8645 - (-8579) = -66", "Add: 2076 + (-66) = 2010"], "final_answer": "2010", "answer_type": "integer", "kind": "expression", "math_text": "2076 + (-8645 - (-8579))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 2076, \"b\": -8645, \"c\": -8579}", "seed": "7983338563470821421", "semantic_fingerprint": "sha256:6b412eb192d1a7da7f280b0994e1861951fc75d06139609bce0b171b4dda4f5e", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006994", "prompt": "Calculate: -41632 / (-5794) - (-5638)", "solution_steps": ["Divide: -41632 / (-5794) = 20816/2897", "Subtract: 20816/2897 - (-5638) = 16354102/2897"], "final_answer": "16354102/2897", "answer_type": "rational", "kind": "expression", "math_text": "-41632 / (-5794) - (-5638)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -41632, \"b\": -5794, \"c\": -5638}", "seed": "7044426733931769650", "semantic_fingerprint": "sha256:f117ed51dfc24b38cac3c22204b44d35406fe247fe53ac2fbae28ccfab495def", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006995", "prompt": "What is 41189 / 57023?", "solution_steps": ["Divide: 41189 / 57023 = 41189/57023"], "final_answer": "41189/57023", "answer_type": "rational", "kind": "expression", "math_text": "41189 / 57023", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": 41189, \"b\": 57023}", "seed": "2159989692857903733", "semantic_fingerprint": "sha256:3605802261f0b910ccfdb7816b4071d9eb0f478b40bd36491d1e1a2d56bf7c4b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006996", "prompt": "What is -6682 / (-2399)?", "solution_steps": ["Divide: -6682 / (-2399) = 6682/2399"], "final_answer": "6682/2399", "answer_type": "rational", "kind": "expression", "math_text": "-6682 / (-2399)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "extrapolation", "params": "{\"a\": -6682, \"b\": -2399}", "seed": "13830120170815364807", "semantic_fingerprint": "sha256:28f6f6af7ae1cdbe11d26163f53325d6080f71c2fc8e0babb27c37633e9ee574", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006997", "prompt": "Solve the equation 21x = 24(x - 5072) for x.", "solution_steps": ["Expand: 21x = 24x - 121728", "Subtract 24x from both sides: -3x = -121728", "Divide both sides by -3: x = 40576"], "final_answer": "40576", "answer_type": "integer", "kind": "linear_equation", "math_text": "21x = 24(x - 5072)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 21, \"b\": 24, \"c\": 5072}", "seed": "14506428265372980994", "semantic_fingerprint": "sha256:66771246210d90bfa8221e07bee66270805b3068c62d8bf13063f9388553242b", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006998", "prompt": "Calculate: -1664 * ((-29152 + (-2142)) / 9880)", "solution_steps": ["Add: -29152 + (-2142) = -31294", "Divide: -31294 / 9880 = -15647/4940", "Multiply: -1664 * (-15647/4940) = 500704/95"], "final_answer": "500704/95", "answer_type": "rational", "kind": "expression", "math_text": "-1664 * ((-29152 + (-2142)) / 9880)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": -1664, \"b\": -29152, \"c\": -2142, \"d\": 9880}", "seed": "6029018344525239232", "semantic_fingerprint": "sha256:3ab14d3030b68741e324decabe6adc8c707e864cc14f9512f85b8f687afff112", "generator_version": "3.0"}
{"id": "v3_test_extrapolation_00006999", "prompt": "Solve for x: 34x = 20x + 2422", "solution_steps": ["Subtract 20x from both sides: 14x = 2422", "Divide both sides by 14: x = 173"], "final_answer": "173", "answer_type": "integer", "kind": "linear_equation", "math_text": "34x = 20x + 2422", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "extrapolation", "params": "{\"a\": 34, \"b\": 20, \"d\": 2422, \"x\": 173}", "seed": "13341486563559418508", "semantic_fingerprint": "sha256:a3d1d054b259bd214aedead779dd3436aab77f9ac63da9ab6e360a9665cc146e", "generator_version": "3.0"}