{"id": "v3_test_heldout_shape_00000000", "prompt": "Evaluate: (0 - (-75 + 59)) * (-6)", "solution_steps": ["Add: -75 + 59 = -16", "Subtract: 0 - (-16) = 16", "Multiply: 16 * (-6) = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-75 + 59)) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -75, \"c\": 59, \"d\": -6}", "seed": "3270025330864193418", "semantic_fingerprint": "sha256:31b58e2704ace4aae33ae64b122718012324d788e2ece165700babe1ba4deb02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000001", "prompt": "Calculate: (-383 * 845 - (-99) - (-62)) / 5", "solution_steps": ["Multiply: -383 * 845 = -323635", "Subtract: -323635 - (-99) = -323536", "Subtract: -323536 - (-62) = -323474", "Divide: -323474 / 5 = -323474/5"], "final_answer": "-323474/5", "answer_type": "rational", "kind": "expression", "math_text": "(-383 * 845 - (-99) - (-62)) / 5", "variable": null, "family": "expression_4op", "shape": "(/ (- (- (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -383, \"b\": 845, \"c\": -99, \"d\": -62, \"e\": 5}", "seed": "17712127613771930041", "semantic_fingerprint": "sha256:b5c5acf0af9517911a24bdd27ded187d9b93474288c09fa028b5e8cea27089ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000002", "prompt": "Compute: -34 / (-56) * (29 / (-8))", "solution_steps": ["Divide: -34 / (-56) = 17/28", "Divide: 29 / (-8) = -29/8", "Multiply: (17/28) * (-29/8) = -493/224"], "final_answer": "-493/224", "answer_type": "rational", "kind": "expression", "math_text": "-34 / (-56) * (29 / (-8))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -56, \"c\": 29, \"d\": -8}", "seed": "7544397324618320312", "semantic_fingerprint": "sha256:644727e81f1b3c0b5ec35c744584cbfd1c3f3c2f017b6bb3cb9dd1bff10f03dc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000003", "prompt": "Calculate: (48 + 0) * (-789 / 2 / (-43))", "solution_steps": ["Add: 48 + 0 = 48", "Divide: -789 / 2 = -789/2", "Divide: (-789/2) / (-43) = 789/86", "Multiply: 48 * (789/86) = 18936/43"], "final_answer": "18936/43", "answer_type": "rational", "kind": "expression", "math_text": "(48 + 0) * (-789 / 2 / (-43))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 0, \"c\": -789, \"d\": 2, \"e\": -43}", "seed": "11656381238532279611", "semantic_fingerprint": "sha256:6279e14e42631a1a8ea36ad4a2801d5b1b5b33869ddeabfa6036031bd6935d79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000004", "prompt": "Find x: 4(x + 25) + 297 = x + 430", "solution_steps": ["Expand: 4x + 100 + 297 = x + 430", "Combine constants: 4x + 397 = x + 430", "Subtract x from both sides: 3x + 397 = 430", "Subtract 397 from both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 25) + 297 = x + 430", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 25, \"c\": 297, \"e\": 430, \"x\": 11}", "seed": "15449317819029556764", "semantic_fingerprint": "sha256:b1c49e873752309e200cad6c3210fc146add876307361d6d8f4b0e37966641a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000005", "prompt": "Find x: -11x - 70 = 9x - 330", "solution_steps": ["Subtract 9x from both sides: -20x - 70 = -330", "Add 70 to both sides: -20x = -260", "Divide both sides by -20: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 70 = 9x - 330", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 70, \"c\": 9, \"e\": -330, \"x\": 13}", "seed": "581415266600364382", "semantic_fingerprint": "sha256:21bb3dd6473ab6efb57053c1613ab724b1b6632f233c0eb9f9b74586c90190f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000006", "prompt": "Evaluate: (0 - 99) * 23 + 0 + 2", "solution_steps": ["Subtract: 0 - 99 = -99", "Multiply: -99 * 23 = -2277", "Add: -2277 + 0 = -2277", "Add: -2277 + 2 = -2275"], "final_answer": "-2275", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 99) * 23 + 0 + 2", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 99, \"c\": 23, \"d\": 0, \"e\": 2}", "seed": "1298413116747227032", "semantic_fingerprint": "sha256:28227919851afd9ebf440f96cf9ca19909a22239abff9ac5d5283e2e4d7114e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000007", "prompt": "Solve the equation 10x = -8(x + 491) - 82 for x.", "solution_steps": ["Expand: 10x = -8x - 3928 - 82", "Combine constants: 10x = -8x - 4010", "Add 8x to both sides: 18x = -4010", "Divide both sides by 18: x = -2005/9"], "final_answer": "-2005/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = -8(x + 491) - 82", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -8, \"c\": 491, \"d\": 82}", "seed": "14382043689174996541", "semantic_fingerprint": "sha256:f4bff59af003cf0d5fbb17830da65b16ed0e96278ce13e04f58f36861ab29518", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000008", "prompt": "Find x: 10(x + 9) = 9(x - 63) + 647", "solution_steps": ["Expand: 10x + 90 = 9(x - 63) + 647", "Expand: 10x + 90 = 9x - 567 + 647", "Combine constants: 10x + 90 = 9x + 80", "Subtract 9x from both sides: x + 90 = 80", "Subtract 90 from both sides: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 9) = 9(x - 63) + 647", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 9, \"d\": 63, \"f\": 647, \"x\": -10}", "seed": "612122123019986793", "semantic_fingerprint": "sha256:76794fdb13393c4b5dad497cf06ac8c0543d003c6037fa3c13ea80515c6b2ac7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000009", "prompt": "What is (-64 / 9 - 56) * (9 + 9)?", "solution_steps": ["Divide: -64 / 9 = -64/9", "Subtract: -64/9 - 56 = -568/9", "Add: 9 + 9 = 18", "Multiply: (-568/9) * 18 = -1136"], "final_answer": "-1136", "answer_type": "integer", "kind": "expression", "math_text": "(-64 / 9 - 56) * (9 + 9)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 9, \"c\": 56, \"d\": 9, \"e\": 9}", "seed": "16214418244687374150", "semantic_fingerprint": "sha256:7c195868373ff99bf6cff88729b413ef391b282ce6d3581f1e06be27a2623b3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000010", "prompt": "Solve for x: 9x = 4(x + 97) - 318", "solution_steps": ["Expand: 9x = 4x + 388 - 318", "Combine constants: 9x = 4x + 70", "Subtract 4x from both sides: 5x = 70", "Divide both sides by 5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 4(x + 97) - 318", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 97, \"e\": -318, \"x\": 14}", "seed": "15850104226697361609", "semantic_fingerprint": "sha256:8b16b598634b73645fb89a01e96073927c6f1b96f09f7061c4561b6b864a6bc3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000011", "prompt": "Solve the equation 3(x - 283) + 903 = 6(x + 6) for x.", "solution_steps": ["Expand: 3x - 849 + 903 = 6(x + 6)", "Expand: 3x - 849 + 903 = 6x + 36", "Combine constants: 3x + 54 = 6x + 36", "Subtract 6x from both sides: -3x + 54 = 36", "Subtract 54 from both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 283) + 903 = 6(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 283, \"c\": 6, \"d\": 6, \"f\": 903, \"x\": 6}", "seed": "4869096922977747440", "semantic_fingerprint": "sha256:2cc46d2c7ad7a72380598dc9c120aec85d342128c2cef2f0c158ced0ea5d327f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000012", "prompt": "Calculate: -29 + (63 - (-423 + 306))", "solution_steps": ["Add: -423 + 306 = -117", "Subtract: 63 - (-117) = 180", "Add: -29 + 180 = 151"], "final_answer": "151", "answer_type": "integer", "kind": "expression", "math_text": "-29 + (63 - (-423 + 306))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 63, \"c\": -423, \"d\": 306}", "seed": "8188250419052334692", "semantic_fingerprint": "sha256:781b49017083d68071f70ea45d2654d0fc9bac6840061c7c7a01e569f7f2cd05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000013", "prompt": "Evaluate: 96 * 8 * (-14 / (-782))", "solution_steps": ["Multiply: 96 * 8 = 768", "Divide: -14 / (-782) = 7/391", "Multiply: 768 * (7/391) = 5376/391"], "final_answer": "5376/391", "answer_type": "rational", "kind": "expression", "math_text": "96 * 8 * (-14 / (-782))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 8, \"c\": -14, \"d\": -782}", "seed": "14381275193957188733", "semantic_fingerprint": "sha256:0ffc610ca5b28b98c7f55ac5fb5c6d88d35c094a3d510d1903dff5fae5df8c8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000014", "prompt": "Calculate: -9 * (-3) * (-54 / 4)", "solution_steps": ["Multiply: -9 * (-3) = 27", "Divide: -54 / 4 = -27/2", "Multiply: 27 * (-27/2) = -729/2"], "final_answer": "-729/2", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-3) * (-54 / 4)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": -54, \"d\": 4}", "seed": "2188604051330061873", "semantic_fingerprint": "sha256:b991866117fba46d4d667e4cd92725cae00fbc0a150464ba93f8638e0e74d668", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000015", "prompt": "Solve the equation 9(x + 4) - 9 = x + 67 for x.", "solution_steps": ["Expand: 9x + 36 - 9 = x + 67", "Combine constants: 9x + 27 = x + 67", "Subtract x from both sides: 8x + 27 = 67", "Subtract 27 from both sides: 8x = 40", "Divide both sides by 8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 4) - 9 = x + 67", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 9, \"e\": 67, \"x\": 5}", "seed": "7896738939269469666", "semantic_fingerprint": "sha256:93d6ebd7981a645cc03d0013922331da5e0c07f646f3fe2badc3f716a3a1171c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000016", "prompt": "Compute: 20 * 50 + (4 - (-74) * 57)", "solution_steps": ["Multiply: 20 * 50 = 1000", "Multiply: -74 * 57 = -4218", "Subtract: 4 - (-4218) = 4222", "Add: 1000 + 4222 = 5222"], "final_answer": "5222", "answer_type": "integer", "kind": "expression", "math_text": "20 * 50 + (4 - (-74) * 57)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 50, \"c\": 4, \"d\": -74, \"e\": 57}", "seed": "13374576454589756384", "semantic_fingerprint": "sha256:207c08b757bb3b139cc8654d9422f07b3f202ba1987ba13d79045cedbf1a114a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000017", "prompt": "Compute: (0 / (-48) - (-458)) * (-193)", "solution_steps": ["Divide: 0 / (-48) = 0", "Subtract: 0 - (-458) = 458", "Multiply: 458 * (-193) = -88394"], "final_answer": "-88394", "answer_type": "integer", "kind": "expression", "math_text": "(0 / (-48) - (-458)) * (-193)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -48, \"c\": -458, \"d\": -193}", "seed": "13687502172964238010", "semantic_fingerprint": "sha256:e240162c7acf3364a056320294b27bf1b7d0fa11a35af3ef928a7a1da571941f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000018", "prompt": "Evaluate: -96 + (71 / (-78) + (6 - 37 * 5))", "solution_steps": ["Divide: 71 / (-78) = -71/78", "Multiply: 37 * 5 = 185", "Subtract: 6 - 185 = -179", "Add: -71/78 + (-179) = -14033/78", "Add: -96 + (-14033/78) = -21521/78"], "final_answer": "-21521/78", "answer_type": "rational", "kind": "expression", "math_text": "-96 + (71 / (-78) + (6 - 37 * 5))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n n) (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 71, \"c\": -78, \"d\": 6, \"e\": 37, \"f\": 5}", "seed": "2207519279230416183", "semantic_fingerprint": "sha256:14273da175b1f8e724f90e6cd04d8249922f487fa312a4e09bc04683f4975427", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000019", "prompt": "Evaluate: 2 + 998 * (-635) - (-1 + (-7))", "solution_steps": ["Multiply: 998 * (-635) = -633730", "Add: 2 + (-633730) = -633728", "Add: -1 + (-7) = -8", "Subtract: -633728 - (-8) = -633720"], "final_answer": "-633720", "answer_type": "integer", "kind": "expression", "math_text": "2 + 998 * (-635) - (-1 + (-7))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 998, \"c\": -635, \"d\": -1, \"e\": -7}", "seed": "9766704427149090379", "semantic_fingerprint": "sha256:82dd52cf3120c54ad9f01b1e5958f151e2849646000bcb2b9ff6f0aabbc818df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000020", "prompt": "What value of x satisfies 7x - 543 = 2x - 21?", "solution_steps": ["Subtract 2x from both sides: 5x - 543 = -21", "Add 543 to both sides: 5x = 522", "Divide both sides by 5: x = 522/5"], "final_answer": "522/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 543 = 2x - 21", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 543, \"c\": 2, \"d\": 21}", "seed": "5141267326718160823", "semantic_fingerprint": "sha256:9ae58a3c59f3f50a37ec079edef1c203ba07c6867cbb181b942b3fc9b9c18682", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000021", "prompt": "Solve for x: 7x = 9(x + 9) - 43", "solution_steps": ["Expand: 7x = 9x + 81 - 43", "Combine constants: 7x = 9x + 38", "Subtract 9x from both sides: -2x = 38", "Divide both sides by -2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 9(x + 9) - 43", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 9, \"e\": -43, \"x\": -19}", "seed": "14639632583117816763", "semantic_fingerprint": "sha256:cf4cae0a54b6e6152ec9b04219b952380a55c6cde85cd0fdfaa5bb823c559bca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000022", "prompt": "Solve for x: 3(x + 3) = 10(x - 59) + 655", "solution_steps": ["Expand: 3x + 9 = 10(x - 59) + 655", "Expand: 3x + 9 = 10x - 590 + 655", "Combine constants: 3x + 9 = 10x + 65", "Subtract 10x from both sides: -7x + 9 = 65", "Subtract 9 from both sides: -7x = 56", "Divide both sides by -7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 3) = 10(x - 59) + 655", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 10, \"d\": 59, \"f\": 655, \"x\": -8}", "seed": "6437485831894730690", "semantic_fingerprint": "sha256:9fe3a3a29d391565d70ec472aadf7e2ba27028da8cca46807d6b35b398d97c23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000023", "prompt": "Compute: 58 + (-83 / 83 - (97 / 812 - 535))", "solution_steps": ["Divide: -83 / 83 = -1", "Divide: 97 / 812 = 97/812", "Subtract: 97/812 - 535 = -434323/812", "Subtract: -1 - (-434323/812) = 433511/812", "Add: 58 + 433511/812 = 480607/812"], "final_answer": "480607/812", "answer_type": "rational", "kind": "expression", "math_text": "58 + (-83 / 83 - (97 / 812 - 535))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ n n) (- (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -83, \"c\": 83, \"d\": 97, \"e\": 812, \"f\": 535}", "seed": "13843293740035485781", "semantic_fingerprint": "sha256:f95e8f0a07ec4a5929748ceac28cc0d545c29830354692f665e6751d0f7824af", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000024", "prompt": "What is (-7 - (-33) - 6) * 90?", "solution_steps": ["Subtract: -7 - (-33) = 26", "Subtract: 26 - 6 = 20", "Multiply: 20 * 90 = 1800"], "final_answer": "1800", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-33) - 6) * 90", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -33, \"c\": 6, \"d\": 90}", "seed": "17941170280092352395", "semantic_fingerprint": "sha256:1eb8f42e7cf4ef3e8d9f51d88c74673b5ccf1f176e802cc3d09505d8dc19cf29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000025", "prompt": "What value of x satisfies -7(x - 97) - 9 = x + 1?", "solution_steps": ["Expand: -7x + 679 - 9 = x + 1", "Combine constants: -7x + 670 = x + 1", "Subtract x from both sides: -8x + 670 = 1", "Subtract 670 from both sides: -8x = -669", "Divide both sides by -8: x = 669/8"], "final_answer": "669/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 97) - 9 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 97, \"c\": 9, \"d\": 1}", "seed": "14315194769762077981", "semantic_fingerprint": "sha256:f896359901c782a7b6541b6b9695745506d1573c818d7930e39530779a1d66bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000026", "prompt": "Calculate: 6 - (-7 + (24 - 6)) * (-35 - (-177))", "solution_steps": ["Subtract: 24 - 6 = 18", "Add: -7 + 18 = 11", "Subtract: -35 - (-177) = 142", "Multiply: 11 * 142 = 1562", "Subtract: 6 - 1562 = -1556"], "final_answer": "-1556", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-7 + (24 - 6)) * (-35 - (-177))", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ n (- n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": 24, \"d\": 6, \"e\": -35, \"f\": -177}", "seed": "14584807881201662974", "semantic_fingerprint": "sha256:b3ad4fb29867ec9242218d98bf870c8d87ae6b927a06876d33b8ba41ec1dfca6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000027", "prompt": "Solve the equation 11x - 25 = 9(x - 3) for x.", "solution_steps": ["Expand: 11x - 25 = 9x - 27", "Subtract 9x from both sides: 2x - 25 = -27", "Add 25 to both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 25 = 9(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 3, \"e\": -25, \"x\": -1}", "seed": "9056271125534941362", "semantic_fingerprint": "sha256:4b3439a64cce002fc5a46de82fdc3ae02870e4530f6fee9e478361a1266d3a2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000028", "prompt": "What is -303 * (3 * (-32)) + 134?", "solution_steps": ["Multiply: 3 * (-32) = -96", "Multiply: -303 * (-96) = 29088", "Add: 29088 + 134 = 29222"], "final_answer": "29222", "answer_type": "integer", "kind": "expression", "math_text": "-303 * (3 * (-32)) + 134", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -303, \"b\": 3, \"c\": -32, \"d\": 134}", "seed": "7252744357547359746", "semantic_fingerprint": "sha256:f5e1d57179309514fe8864a3bf738bfa1a5c65b99669d66b9d50a78d93e0f06c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000029", "prompt": "Solve for x: 11(x + 49) = 5(x - 10) + 589", "solution_steps": ["Expand: 11x + 539 = 5(x - 10) + 589", "Expand: 11x + 539 = 5x - 50 + 589", "Combine constants: 11x + 539 = 5x + 539", "Subtract 5x from both sides: 6x + 539 = 539", "Subtract 539 from both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 49) = 5(x - 10) + 589", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 49, \"c\": 5, \"d\": 10, \"f\": 589, \"x\": 0}", "seed": "17660686335823459993", "semantic_fingerprint": "sha256:c37f914532145ddc02bb8d54b01a03ac72bd8533a81c3b72b5570c894840afc3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000030", "prompt": "What value of x satisfies -9x - 807 = -6x - 759?", "solution_steps": ["Add 6x to both sides: -3x - 807 = -759", "Add 807 to both sides: -3x = 48", "Divide both sides by -3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 807 = -6x - 759", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 807, \"c\": -6, \"e\": -759, \"x\": -16}", "seed": "11386327303745326100", "semantic_fingerprint": "sha256:c7153bd1b45dec2cff77797290e7bf265ff5b0ea81c3cff0eeadaa50a8771b3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000031", "prompt": "Evaluate: 7 + (0 - (12 + (-77)))", "solution_steps": ["Add: 12 + (-77) = -65", "Subtract: 0 - (-65) = 65", "Add: 7 + 65 = 72"], "final_answer": "72", "answer_type": "integer", "kind": "expression", "math_text": "7 + (0 - (12 + (-77)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 0, \"c\": 12, \"d\": -77}", "seed": "6603494407838944311", "semantic_fingerprint": "sha256:6328b8871b38f3f5cc103e15b81d9a171bf0409b82e2e8fb157f8e06220b5539", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000032", "prompt": "What value of x satisfies 12(x + 35) + 93 = x + 370?", "solution_steps": ["Expand: 12x + 420 + 93 = x + 370", "Combine constants: 12x + 513 = x + 370", "Subtract x from both sides: 11x + 513 = 370", "Subtract 513 from both sides: 11x = -143", "Divide both sides by 11: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 35) + 93 = x + 370", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 35, \"c\": 93, \"e\": 370, \"x\": -13}", "seed": "4896583806405635073", "semantic_fingerprint": "sha256:01ad7a0ec4982105138113d2a89c50c12ad983ca9ac1470de00224c024e04c58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000033", "prompt": "Evaluate: 0 / (7 * (0 - (-320))) * 144", "solution_steps": ["Subtract: 0 - (-320) = 320", "Multiply: 7 * 320 = 2240", "Divide: 0 / 2240 = 0", "Multiply: 0 * 144 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (7 * (0 - (-320))) * 144", "variable": null, "family": "expression_4op", "shape": "(* (/ n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": 0, \"d\": -320, \"e\": 144}", "seed": "4923439227165589912", "semantic_fingerprint": "sha256:ff6b71798f47e8ee44b733e916c05f7989cab0404b88ee83e519d14ac080faf2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000034", "prompt": "Compute: 6 * (-904) * (37 / (-9))", "solution_steps": ["Multiply: 6 * (-904) = -5424", "Divide: 37 / (-9) = -37/9", "Multiply: -5424 * (-37/9) = 66896/3"], "final_answer": "66896/3", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-904) * (37 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -904, \"c\": 37, \"d\": -9}", "seed": "8183214890569845962", "semantic_fingerprint": "sha256:9f6d7bd271e1adb26905ed5decdec8b6621d8b6cd8ccb44674d5e0ff347d35d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000035", "prompt": "Calculate: 74 * (-29) - 62 + (2 - 290)", "solution_steps": ["Multiply: 74 * (-29) = -2146", "Subtract: -2146 - 62 = -2208", "Subtract: 2 - 290 = -288", "Add: -2208 + (-288) = -2496"], "final_answer": "-2496", "answer_type": "integer", "kind": "expression", "math_text": "74 * (-29) - 62 + (2 - 290)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -29, \"c\": 62, \"d\": 2, \"e\": 290}", "seed": "525676469088489062", "semantic_fingerprint": "sha256:ad66ee000d0b030bb184fc2f481d8fbea42c1d7876bf1d2c6154346ab73d840d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000036", "prompt": "Find x: 10(x + 235) = 9(x - 51) + 9", "solution_steps": ["Expand: 10x + 2350 = 9(x - 51) + 9", "Expand: 10x + 2350 = 9x - 459 + 9", "Combine constants: 10x + 2350 = 9x - 450", "Subtract 9x from both sides: x + 2350 = -450", "Subtract 2350 from both sides: x = -2800"], "final_answer": "-2800", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 235) = 9(x - 51) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 235, \"c\": 9, \"d\": 51, \"e\": 9}", "seed": "17653055952950774255", "semantic_fingerprint": "sha256:9a7f6b11cf0850d79d733dbeda07561d5cc203a1631bdc7dff2a8f088d0ffdef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000037", "prompt": "Calculate: (58 + 0) / (5 + 8)", "solution_steps": ["Add: 58 + 0 = 58", "Add: 5 + 8 = 13", "Divide: 58 / 13 = 58/13"], "final_answer": "58/13", "answer_type": "rational", "kind": "expression", "math_text": "(58 + 0) / (5 + 8)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 0, \"c\": 5, \"d\": 8}", "seed": "17307119208163491776", "semantic_fingerprint": "sha256:e25141bdc03e296348b0caa72ab0802c7d25a64ec709e76270c49808c7cb5bb7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000038", "prompt": "Evaluate: (-420 + 39) / (-1 / 51 + (-29))", "solution_steps": ["Add: -420 + 39 = -381", "Divide: -1 / 51 = -1/51", "Add: -1/51 + (-29) = -1480/51", "Divide: -381 / (-1480/51) = 19431/1480"], "final_answer": "19431/1480", "answer_type": "rational", "kind": "expression", "math_text": "(-420 + 39) / (-1 / 51 + (-29))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -420, \"b\": 39, \"c\": -1, \"d\": 51, \"e\": -29}", "seed": "12549791316487269123", "semantic_fingerprint": "sha256:7813754486757f78c0ecdc92d128b66487b670d25356155b276d8399559779d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000039", "prompt": "Find x: 12x - 2 = 8x - 58", "solution_steps": ["Subtract 8x from both sides: 4x - 2 = -58", "Add 2 to both sides: 4x = -56", "Divide both sides by 4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 2 = 8x - 58", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 8, \"e\": -58, \"x\": -14}", "seed": "14157788638348125502", "semantic_fingerprint": "sha256:7599b8f2b060f338d797361e1fd900e12816b235148c6da96393bb5c2a1bd80b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000040", "prompt": "Solve the equation 10(x - 3) + 118 = 2(x + 32) for x.", "solution_steps": ["Expand: 10x - 30 + 118 = 2(x + 32)", "Expand: 10x - 30 + 118 = 2x + 64", "Combine constants: 10x + 88 = 2x + 64", "Subtract 2x from both sides: 8x + 88 = 64", "Subtract 88 from both sides: 8x = -24", "Divide both sides by 8: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 3) + 118 = 2(x + 32)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 2, \"d\": 32, \"f\": 118, \"x\": -3}", "seed": "5289609418928814044", "semantic_fingerprint": "sha256:7342febbf5b5ffdc9ab8c8dd4b4b05227d5a736e27dd3f1a50fa97f1563ea6fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000041", "prompt": "Solve the equation 9(x - 11) + 141 = -2(x + 67) for x.", "solution_steps": ["Expand: 9x - 99 + 141 = -2(x + 67)", "Expand: 9x - 99 + 141 = -2x - 134", "Combine constants: 9x + 42 = -2x - 134", "Add 2x to both sides: 11x + 42 = -134", "Subtract 42 from both sides: 11x = -176", "Divide both sides by 11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 11) + 141 = -2(x + 67)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": -2, \"d\": 67, \"f\": 141, \"x\": -16}", "seed": "3390813343084707896", "semantic_fingerprint": "sha256:4cf4bc73d81da776d4de3aa3acca65ef27299fec4092dd002048395709550e03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000042", "prompt": "What is 3 * (8 * 6) * (975 - (-7 - (-8)))?", "solution_steps": ["Multiply: 8 * 6 = 48", "Multiply: 3 * 48 = 144", "Subtract: -7 - (-8) = 1", "Subtract: 975 - 1 = 974", "Multiply: 144 * 974 = 140256"], "final_answer": "140256", "answer_type": "integer", "kind": "expression", "math_text": "3 * (8 * 6) * (975 - (-7 - (-8)))", "variable": null, "family": "expression_5op", "shape": "(* (* n (* n n)) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 6, \"d\": 975, \"e\": -7, \"f\": -8}", "seed": "8092721712668620780", "semantic_fingerprint": "sha256:0cc39251e7b553b370e5a47b36fc8d7a3f48c507b1d0a665c0103a0b050524e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000043", "prompt": "Find x: -8(x + 1) = 12(x - 16) + 124", "solution_steps": ["Expand: -8x - 8 = 12(x - 16) + 124", "Expand: -8x - 8 = 12x - 192 + 124", "Combine constants: -8x - 8 = 12x - 68", "Subtract 12x from both sides: -20x - 8 = -68", "Add 8 to both sides: -20x = -60", "Divide both sides by -20: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 1) = 12(x - 16) + 124", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": 12, \"d\": 16, \"f\": 124, \"x\": 3}", "seed": "1227903835832692650", "semantic_fingerprint": "sha256:15aebd8e0b2311aa849abb24d4df4608dffdedbb86276553a04ca5a13d7ae41f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000044", "prompt": "Solve the equation 10(x - 33) + 406 = 7(x + 7) for x.", "solution_steps": ["Expand: 10x - 330 + 406 = 7(x + 7)", "Expand: 10x - 330 + 406 = 7x + 49", "Combine constants: 10x + 76 = 7x + 49", "Subtract 7x from both sides: 3x + 76 = 49", "Subtract 76 from both sides: 3x = -27", "Divide both sides by 3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 33) + 406 = 7(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 33, \"c\": 7, \"d\": 7, \"f\": 406, \"x\": -9}", "seed": "351021234557278312", "semantic_fingerprint": "sha256:4b019de5be8e01fc80d2aebaa1428c6b52ba73fe05715d5ec406a779be394860", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000045", "prompt": "Find x: 11x = -7(x + 42) + 82", "solution_steps": ["Expand: 11x = -7x - 294 + 82", "Combine constants: 11x = -7x - 212", "Add 7x to both sides: 18x = -212", "Divide both sides by 18: x = -106/9"], "final_answer": "-106/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = -7(x + 42) + 82", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -7, \"c\": 42, \"d\": 82}", "seed": "11367923239213775689", "semantic_fingerprint": "sha256:f638206be172cdb160daf674a5175f71d2eb3859b9521e92397e6078a6d39d2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000046", "prompt": "Solve for x: 2(x + 65) - 4 = x + 110", "solution_steps": ["Expand: 2x + 130 - 4 = x + 110", "Combine constants: 2x + 126 = x + 110", "Subtract x from both sides: x + 126 = 110", "Subtract 126 from both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 65) - 4 = x + 110", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 65, \"c\": 4, \"e\": 110, \"x\": -16}", "seed": "9928126229278849831", "semantic_fingerprint": "sha256:b22736467b7e5a6aafd1aa3389649e23701257e2a5c59d90a7d7c253f3882769", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000047", "prompt": "Compute: 59 * 64 + (429 - 47)", "solution_steps": ["Multiply: 59 * 64 = 3776", "Subtract: 429 - 47 = 382", "Add: 3776 + 382 = 4158"], "final_answer": "4158", "answer_type": "integer", "kind": "expression", "math_text": "59 * 64 + (429 - 47)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 64, \"c\": 429, \"d\": 47}", "seed": "10932548323577589843", "semantic_fingerprint": "sha256:6593764a891fd0e4046801cbd599e6c6e409017f6da039f9f01acaa1e2532636", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000048", "prompt": "What is 0 - 80 - (-872) / 4 * 9?", "solution_steps": ["Subtract: 0 - 80 = -80", "Divide: -872 / 4 = -218", "Multiply: -218 * 9 = -1962", "Subtract: -80 - (-1962) = 1882"], "final_answer": "1882", "answer_type": "integer", "kind": "expression", "math_text": "0 - 80 - (-872) / 4 * 9", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 80, \"c\": -872, \"d\": 4, \"e\": 9}", "seed": "17403789883920027057", "semantic_fingerprint": "sha256:0c8e77485cd475c63b224c5de0d0c0ee0325d1bfd702e8179779323c6e5386c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000049", "prompt": "What value of x satisfies 11x - 648 = -9x - 408?", "solution_steps": ["Add 9x to both sides: 20x - 648 = -408", "Add 648 to both sides: 20x = 240", "Divide both sides by 20: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 648 = -9x - 408", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 648, \"c\": -9, \"e\": -408, \"x\": 12}", "seed": "8131613704209790549", "semantic_fingerprint": "sha256:fe280b2d1e7b3371bb4f43dce804a50075da46275446627f1771e6b883ebbbe7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000050", "prompt": "What is (-470 - 59) * (-783 - (-1)) - 53 * 802?", "solution_steps": ["Subtract: -470 - 59 = -529", "Subtract: -783 - (-1) = -782", "Multiply: -529 * (-782) = 413678", "Multiply: 53 * 802 = 42506", "Subtract: 413678 - 42506 = 371172"], "final_answer": "371172", "answer_type": "integer", "kind": "expression", "math_text": "(-470 - 59) * (-783 - (-1)) - 53 * 802", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -470, \"b\": 59, \"c\": -783, \"d\": -1, \"e\": 53, \"f\": 802}", "seed": "11161190372696017756", "semantic_fingerprint": "sha256:a40fc210abfd8bdaed794b9042f73376808d6488236522b8527cdef7681afbb7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000051", "prompt": "Solve for x: 9x = -9(x + 21) - 692", "solution_steps": ["Expand: 9x = -9x - 189 - 692", "Combine constants: 9x = -9x - 881", "Add 9x to both sides: 18x = -881", "Divide both sides by 18: x = -881/18"], "final_answer": "-881/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = -9(x + 21) - 692", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -9, \"c\": 21, \"d\": 692}", "seed": "638935033893456706", "semantic_fingerprint": "sha256:022e6fb499b7b7d84e5bcd8b5e8ac58febf495902af1cfdb5273e6e674a0eb6a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000052", "prompt": "Calculate: (27 - (-4) - (-2 + 354)) * (-5 + (-1))", "solution_steps": ["Subtract: 27 - (-4) = 31", "Add: -2 + 354 = 352", "Subtract: 31 - 352 = -321", "Add: -5 + (-1) = -6", "Multiply: -321 * (-6) = 1926"], "final_answer": "1926", "answer_type": "integer", "kind": "expression", "math_text": "(27 - (-4) - (-2 + 354)) * (-5 + (-1))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -4, \"c\": -2, \"d\": 354, \"e\": -5, \"f\": -1}", "seed": "16692011815236041611", "semantic_fingerprint": "sha256:85e55361a9fd77892f03bc39285ec6275efb4496a463430b82af788ac468c51a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000053", "prompt": "Compute: 38 * 74 / (0 * 89 + (-4))", "solution_steps": ["Multiply: 38 * 74 = 2812", "Multiply: 0 * 89 = 0", "Add: 0 + (-4) = -4", "Divide: 2812 / (-4) = -703"], "final_answer": "-703", "answer_type": "integer", "kind": "expression", "math_text": "38 * 74 / (0 * 89 + (-4))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 74, \"c\": 0, \"d\": 89, \"e\": -4}", "seed": "864897955522417330", "semantic_fingerprint": "sha256:781c0391bb1a1ae88c08ed92e9eb6b61d9df7ef0af6dcb566e2e5de940687595", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000054", "prompt": "Evaluate: 6 * 40 + (51 - 57)", "solution_steps": ["Multiply: 6 * 40 = 240", "Subtract: 51 - 57 = -6", "Add: 240 + (-6) = 234"], "final_answer": "234", "answer_type": "integer", "kind": "expression", "math_text": "6 * 40 + (51 - 57)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 40, \"c\": 51, \"d\": 57}", "seed": "6993446499872934592", "semantic_fingerprint": "sha256:8c4f4baeec2682c48d6f7bb89aa6bd32c69b163cd52b4296d875a49465c222a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000055", "prompt": "Solve for x: 2x - 85 = -7x - 59", "solution_steps": ["Add 7x to both sides: 9x - 85 = -59", "Add 85 to both sides: 9x = 26", "Divide both sides by 9: x = 26/9"], "final_answer": "26/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 85 = -7x - 59", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 85, \"c\": -7, \"d\": 59}", "seed": "3720068828090718797", "semantic_fingerprint": "sha256:a2b83af4f982ae0520cb8c6e904e0cd528292ebf053698d790c089087f2c25bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000056", "prompt": "Solve for x: 5(x + 28) = -2(x - 1) + 271", "solution_steps": ["Expand: 5x + 140 = -2(x - 1) + 271", "Expand: 5x + 140 = -2x + 2 + 271", "Combine constants: 5x + 140 = -2x + 273", "Add 2x to both sides: 7x + 140 = 273", "Subtract 140 from both sides: 7x = 133", "Divide both sides by 7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 28) = -2(x - 1) + 271", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 28, \"c\": -2, \"d\": 1, \"f\": 271, \"x\": 19}", "seed": "12975177602352207291", "semantic_fingerprint": "sha256:09c1bd7d5d02f60e4684b33b5f371c7f6647d1e96ffc403418111e5c90fb1432", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000057", "prompt": "Calculate: (-40 + 1) / 632 + (-922)", "solution_steps": ["Add: -40 + 1 = -39", "Divide: -39 / 632 = -39/632", "Add: -39/632 + (-922) = -582743/632"], "final_answer": "-582743/632", "answer_type": "rational", "kind": "expression", "math_text": "(-40 + 1) / 632 + (-922)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 1, \"c\": 632, \"d\": -922}", "seed": "6558962944936665258", "semantic_fingerprint": "sha256:b42c78be055c8585ea05e3b3d616512cf8912f8a67d50225417e5dd31abc1e95", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000058", "prompt": "Compute: -992 / (-74) / (18 / (-7)) * 211", "solution_steps": ["Divide: -992 / (-74) = 496/37", "Divide: 18 / (-7) = -18/7", "Divide: (496/37) / (-18/7) = -1736/333", "Multiply: (-1736/333) * 211 = -366296/333"], "final_answer": "-366296/333", "answer_type": "rational", "kind": "expression", "math_text": "-992 / (-74) / (18 / (-7)) * 211", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -992, \"b\": -74, \"c\": 18, \"d\": -7, \"e\": 211}", "seed": "16475295159926189969", "semantic_fingerprint": "sha256:4f1fe63a5145c0c27ef4a69b822e0c3b40007e964cd45fe55a524a563e1dcbce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000059", "prompt": "Calculate: (-49 + (-851)) / (-84) - 3 / (-57 - 4)", "solution_steps": ["Add: -49 + (-851) = -900", "Divide: -900 / (-84) = 75/7", "Subtract: -57 - 4 = -61", "Divide: 3 / (-61) = -3/61", "Subtract: 75/7 - (-3/61) = 4596/427"], "final_answer": "4596/427", "answer_type": "rational", "kind": "expression", "math_text": "(-49 + (-851)) / (-84) - 3 / (-57 - 4)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -851, \"c\": -84, \"d\": 3, \"e\": -57, \"f\": 4}", "seed": "9729474507353541182", "semantic_fingerprint": "sha256:b5d346c75bbec87ce6e2f65b5e0cd8e439cdc60406940abf2a8e48ce2dcfe95b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000060", "prompt": "Calculate: (-3 + 993) * (-1) - (4 - (-40))", "solution_steps": ["Add: -3 + 993 = 990", "Multiply: 990 * (-1) = -990", "Subtract: 4 - (-40) = 44", "Subtract: -990 - 44 = -1034"], "final_answer": "-1034", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + 993) * (-1) - (4 - (-40))", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 993, \"c\": -1, \"d\": 4, \"e\": -40}", "seed": "13204725335042353867", "semantic_fingerprint": "sha256:cd15d11fc0e8de1a63ec1503f2e79ff47789b8109fcff31da4a691ae59c87509", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000061", "prompt": "Solve the equation 9x - 735 = 10(x - 72) for x.", "solution_steps": ["Expand: 9x - 735 = 10x - 720", "Subtract 10x from both sides: -x - 735 = -720", "Add 735 to both sides: -x = 15", "Divide both sides by -1: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 735 = 10(x - 72)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 72, \"e\": -735, \"x\": -15}", "seed": "3703896771503020509", "semantic_fingerprint": "sha256:7255ed1726fc1762f33bc3fcee29b8e35e7978a3673ee49cb8f19428d112410c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000062", "prompt": "Evaluate: (-6 - 53 / (-1)) * (67 * (-43))", "solution_steps": ["Divide: 53 / (-1) = -53", "Subtract: -6 - (-53) = 47", "Multiply: 67 * (-43) = -2881", "Multiply: 47 * (-2881) = -135407"], "final_answer": "-135407", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - 53 / (-1)) * (67 * (-43))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 53, \"c\": -1, \"d\": 67, \"e\": -43}", "seed": "3838556140107491808", "semantic_fingerprint": "sha256:71f353a5b32c1d96d5d1a73bb82da1041ae809fe55cce8462993bcede654a14d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000063", "prompt": "What is -8 / (-617) / (-96 / 18) + 63?", "solution_steps": ["Divide: -8 / (-617) = 8/617", "Divide: -96 / 18 = -16/3", "Divide: (8/617) / (-16/3) = -3/1234", "Add: -3/1234 + 63 = 77739/1234"], "final_answer": "77739/1234", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-617) / (-96 / 18) + 63", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -617, \"c\": -96, \"d\": 18, \"e\": 63}", "seed": "8171564073430038012", "semantic_fingerprint": "sha256:f6e2fa46f6ac0f1e5a284617edca7f80917596d86c8a88f634b956666020ee8c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000064", "prompt": "Compute: (-16 + (-44) / 13 + (-24 + 1)) / 360", "solution_steps": ["Divide: -44 / 13 = -44/13", "Add: -16 + (-44/13) = -252/13", "Add: -24 + 1 = -23", "Add: -252/13 + (-23) = -551/13", "Divide: (-551/13) / 360 = -551/4680"], "final_answer": "-551/4680", "answer_type": "rational", "kind": "expression", "math_text": "(-16 + (-44) / 13 + (-24 + 1)) / 360", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n (/ n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -44, \"c\": 13, \"d\": -24, \"e\": 1, \"f\": 360}", "seed": "16000406653733955265", "semantic_fingerprint": "sha256:02595c8491dc8d5c111e188aa3aada570059e45e9895bc58d748eed3cc2410a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000065", "prompt": "Calculate: -73 - (-8 + 63) * (-86 - 23)", "solution_steps": ["Add: -8 + 63 = 55", "Subtract: -86 - 23 = -109", "Multiply: 55 * (-109) = -5995", "Subtract: -73 - (-5995) = 5922"], "final_answer": "5922", "answer_type": "integer", "kind": "expression", "math_text": "-73 - (-8 + 63) * (-86 - 23)", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -8, \"c\": 63, \"d\": -86, \"e\": 23}", "seed": "5237794736952035909", "semantic_fingerprint": "sha256:99660d178ed0da00da40b52099f6f2f173fc12b64b23984bd4b1f291cd02be1b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000066", "prompt": "Solve for x: 6(x + 56) + 33 = x + 414", "solution_steps": ["Expand: 6x + 336 + 33 = x + 414", "Combine constants: 6x + 369 = x + 414", "Subtract x from both sides: 5x + 369 = 414", "Subtract 369 from both sides: 5x = 45", "Divide both sides by 5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 56) + 33 = x + 414", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 56, \"c\": 33, \"e\": 414, \"x\": 9}", "seed": "4502590877428494287", "semantic_fingerprint": "sha256:ed278922869515467afcb8c81f8bb461100f21382d94730484c33ea5e04e6834", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000067", "prompt": "Find x: 2x = -12(x + 3) + 36", "solution_steps": ["Expand: 2x = -12x - 36 + 36", "Combine constants: 2x = -12x", "Add 12x to both sides: 14x = 0", "Divide both sides by 14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -12(x + 3) + 36", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -12, \"c\": 3, \"d\": 36}", "seed": "2924535432471744957", "semantic_fingerprint": "sha256:40bfafbd02c23c38006e373ace1c70766e236568f281034e465d353a4fb20691", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000068", "prompt": "What value of x satisfies -11x = 2(x + 306) - 768?", "solution_steps": ["Expand: -11x = 2x + 612 - 768", "Combine constants: -11x = 2x - 156", "Subtract 2x from both sides: -13x = -156", "Divide both sides by -13: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = 2(x + 306) - 768", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"c\": 306, \"e\": -768, \"x\": 12}", "seed": "12538041051930025131", "semantic_fingerprint": "sha256:733427a76fde16775aee90e18f108de36005ebe4b5475ffe886da60cf101f979", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000069", "prompt": "Calculate: -23 * (-6) + (-1 - 9 * 3)", "solution_steps": ["Multiply: -23 * (-6) = 138", "Multiply: 9 * 3 = 27", "Subtract: -1 - 27 = -28", "Add: 138 + (-28) = 110"], "final_answer": "110", "answer_type": "integer", "kind": "expression", "math_text": "-23 * (-6) + (-1 - 9 * 3)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -6, \"c\": -1, \"d\": 9, \"e\": 3}", "seed": "3434571684406545339", "semantic_fingerprint": "sha256:8c03fd1899c7d9f796f27de921f70c05a5430883acdd1dcd760ba7c37772fe03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000070", "prompt": "Solve the equation 4(x + 7) = 10(x - 21) + 8 for x.", "solution_steps": ["Expand: 4x + 28 = 10(x - 21) + 8", "Expand: 4x + 28 = 10x - 210 + 8", "Combine constants: 4x + 28 = 10x - 202", "Subtract 10x from both sides: -6x + 28 = -202", "Subtract 28 from both sides: -6x = -230", "Divide both sides by -6: x = 115/3"], "final_answer": "115/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 7) = 10(x - 21) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 10, \"d\": 21, \"e\": 8}", "seed": "17536761373577368750", "semantic_fingerprint": "sha256:85f785ebb6244b844874816dc5dc61fa6e08ce45c8dad68e0e8c744ab563f630", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000071", "prompt": "Calculate: (348 - (-5)) * (-747 - (4 + (-61) + (-2)))", "solution_steps": ["Subtract: 348 - (-5) = 353", "Add: 4 + (-61) = -57", "Add: -57 + (-2) = -59", "Subtract: -747 - (-59) = -688", "Multiply: 353 * (-688) = -242864"], "final_answer": "-242864", "answer_type": "integer", "kind": "expression", "math_text": "(348 - (-5)) * (-747 - (4 + (-61) + (-2)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- n (+ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 348, \"b\": -5, \"c\": -747, \"d\": 4, \"e\": -61, \"f\": -2}", "seed": "10956505317809290099", "semantic_fingerprint": "sha256:2a4ead4219a125465057bd1126a805a400a6244c63125e395bc695e159d78ed0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000072", "prompt": "Compute: 37 - (-3) - 136 * 2 / (713 + 0)", "solution_steps": ["Subtract: 37 - (-3) = 40", "Multiply: 136 * 2 = 272", "Add: 713 + 0 = 713", "Divide: 272 / 713 = 272/713", "Subtract: 40 - 272/713 = 28248/713"], "final_answer": "28248/713", "answer_type": "rational", "kind": "expression", "math_text": "37 - (-3) - 136 * 2 / (713 + 0)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -3, \"c\": 136, \"d\": 2, \"e\": 713, \"f\": 0}", "seed": "6948951917822820021", "semantic_fingerprint": "sha256:590e8b3af389154ac8ee4dc9cce0b8ec8b06311d14539282e47a65d293c9240c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000073", "prompt": "Find x: -2(x - 26) - 40 = x + 24", "solution_steps": ["Expand: -2x + 52 - 40 = x + 24", "Combine constants: -2x + 12 = x + 24", "Subtract x from both sides: -3x + 12 = 24", "Subtract 12 from both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 26) - 40 = x + 24", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 26, \"c\": 40, \"e\": 24, \"x\": -4}", "seed": "1314289611226234136", "semantic_fingerprint": "sha256:424f57da074e94c4a6d9029f799d18f4128a4dfbaa50f2c94d8759164c470311", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000074", "prompt": "What value of x satisfies 8x = 3(x + 2) - 7?", "solution_steps": ["Expand: 8x = 3x + 6 - 7", "Combine constants: 8x = 3x - 1", "Subtract 3x from both sides: 5x = -1", "Divide both sides by 5: x = -1/5"], "final_answer": "-1/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 3(x + 2) - 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 2, \"d\": 7}", "seed": "2387174949513219183", "semantic_fingerprint": "sha256:ad3b51f3bd01225cd318b4f5eee6800d8299aec9a89c10e1133a517697faead7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000075", "prompt": "Calculate: (67 - (-12)) * (89 - (379 + 16))", "solution_steps": ["Subtract: 67 - (-12) = 79", "Add: 379 + 16 = 395", "Subtract: 89 - 395 = -306", "Multiply: 79 * (-306) = -24174"], "final_answer": "-24174", "answer_type": "integer", "kind": "expression", "math_text": "(67 - (-12)) * (89 - (379 + 16))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -12, \"c\": 89, \"d\": 379, \"e\": 16}", "seed": "11723022712659084002", "semantic_fingerprint": "sha256:2b21fe5f3000d8c482609c3819cc0508634d65130f93a366681054853a76d026", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000076", "prompt": "What value of x satisfies 9x = -10(x + 8) + 23?", "solution_steps": ["Expand: 9x = -10x - 80 + 23", "Combine constants: 9x = -10x - 57", "Add 10x to both sides: 19x = -57", "Divide both sides by 19: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = -10(x + 8) + 23", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -10, \"c\": 8, \"e\": 23, \"x\": -3}", "seed": "5681224772625926964", "semantic_fingerprint": "sha256:2d97dd8b19726d050e4236ded57495e2405f077460bbe69b25ae1e5b1b71a1d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000077", "prompt": "Solve the equation 11x - 3 = -9(x - 3) for x.", "solution_steps": ["Expand: 11x - 3 = -9x + 27", "Add 9x to both sides: 20x - 3 = 27", "Add 3 to both sides: 20x = 30", "Divide both sides by 20: x = 3/2"], "final_answer": "3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 3 = -9(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": -9, \"d\": 3}", "seed": "4115171075580330422", "semantic_fingerprint": "sha256:512d08ee8ce13ffd6b8dfa44cde3af58d3fbf393954a6e5a22ff2784f1ed17b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000078", "prompt": "Calculate: 25 / 4 * 6 * (6 * 50)", "solution_steps": ["Divide: 25 / 4 = 25/4", "Multiply: (25/4) * 6 = 75/2", "Multiply: 6 * 50 = 300", "Multiply: (75/2) * 300 = 11250"], "final_answer": "11250", "answer_type": "integer", "kind": "expression", "math_text": "25 / 4 * 6 * (6 * 50)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 4, \"c\": 6, \"d\": 6, \"e\": 50}", "seed": "10949697024688644397", "semantic_fingerprint": "sha256:107495511649204bdd536d4697c822a992be2a5f8a3c7fcc6aa4f8972227f257", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000079", "prompt": "Solve for x: 5(x + 82) = -2(x - 76) + 384", "solution_steps": ["Expand: 5x + 410 = -2(x - 76) + 384", "Expand: 5x + 410 = -2x + 152 + 384", "Combine constants: 5x + 410 = -2x + 536", "Add 2x to both sides: 7x + 410 = 536", "Subtract 410 from both sides: 7x = 126", "Divide both sides by 7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 82) = -2(x - 76) + 384", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 82, \"c\": -2, \"d\": 76, \"f\": 384, \"x\": 18}", "seed": "9892375080608905909", "semantic_fingerprint": "sha256:0257593da5a8d4581b7661b93eb871094ffc3b1601979425a3a90d437ab29b24", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000080", "prompt": "Compute: 205 - 5 * (-19 / 4)", "solution_steps": ["Divide: -19 / 4 = -19/4", "Multiply: 5 * (-19/4) = -95/4", "Subtract: 205 - (-95/4) = 915/4"], "final_answer": "915/4", "answer_type": "rational", "kind": "expression", "math_text": "205 - 5 * (-19 / 4)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 205, \"b\": 5, \"c\": -19, \"d\": 4}", "seed": "16385159683880038721", "semantic_fingerprint": "sha256:02176c3ad3461a435f175fd896cadd9908bcd1e47a4fb626d6bec18125c034e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000081", "prompt": "Find x: -4(x + 89) = 5(x - 436) + 29", "solution_steps": ["Expand: -4x - 356 = 5(x - 436) + 29", "Expand: -4x - 356 = 5x - 2180 + 29", "Combine constants: -4x - 356 = 5x - 2151", "Subtract 5x from both sides: -9x - 356 = -2151", "Add 356 to both sides: -9x = -1795", "Divide both sides by -9: x = 1795/9"], "final_answer": "1795/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 89) = 5(x - 436) + 29", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 89, \"c\": 5, \"d\": 436, \"e\": 29}", "seed": "8830998607024143700", "semantic_fingerprint": "sha256:7287f2bef6eb38a52d912923be8ad6b72a98dfe0eb250cc97eafa84c840fd146", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000082", "prompt": "What value of x satisfies 11(x + 657) + 518 = x + 261?", "solution_steps": ["Expand: 11x + 7227 + 518 = x + 261", "Combine constants: 11x + 7745 = x + 261", "Subtract x from both sides: 10x + 7745 = 261", "Subtract 7745 from both sides: 10x = -7484", "Divide both sides by 10: x = -3742/5"], "final_answer": "-3742/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 657) + 518 = x + 261", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 657, \"c\": 518, \"d\": 261}", "seed": "3132077113073966381", "semantic_fingerprint": "sha256:00584766a0b55d5f65e0eb296711f789e6c4d1af61b18c7a2fd3c87e2b9d987d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000083", "prompt": "Calculate: (-26 - (-3 - (-197))) / (-80) + 12", "solution_steps": ["Subtract: -3 - (-197) = 194", "Subtract: -26 - 194 = -220", "Divide: -220 / (-80) = 11/4", "Add: 11/4 + 12 = 59/4"], "final_answer": "59/4", "answer_type": "rational", "kind": "expression", "math_text": "(-26 - (-3 - (-197))) / (-80) + 12", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -3, \"c\": -197, \"d\": -80, \"e\": 12}", "seed": "12991914364667664079", "semantic_fingerprint": "sha256:ef5c669c912b0c0fd98e9cfb1e3b9b25ffd95080299c38cfec5d0c066e3ddbad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000084", "prompt": "Solve for x: 8(x - 685) + 30 = 3(x + 9)", "solution_steps": ["Expand: 8x - 5480 + 30 = 3(x + 9)", "Expand: 8x - 5480 + 30 = 3x + 27", "Combine constants: 8x - 5450 = 3x + 27", "Subtract 3x from both sides: 5x - 5450 = 27", "Add 5450 to both sides: 5x = 5477", "Divide both sides by 5: x = 5477/5"], "final_answer": "5477/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 685) + 30 = 3(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 685, \"c\": 30, \"d\": 3, \"e\": 9}", "seed": "11284783909210294809", "semantic_fingerprint": "sha256:5b266a171719cad834e69e33b2245dfcc31909bbc2904206f02913c1cecce746", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000085", "prompt": "Compute: -9 * (-4) + (-2 - (-3))", "solution_steps": ["Multiply: -9 * (-4) = 36", "Subtract: -2 - (-3) = 1", "Add: 36 + 1 = 37"], "final_answer": "37", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-4) + (-2 - (-3))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -4, \"c\": -2, \"d\": -3}", "seed": "961556904803179634", "semantic_fingerprint": "sha256:d246515158bb1add77857ba0ef8f219c5b98cd3f8a7b57f01cc5a94e2084fe32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000086", "prompt": "Compute: (-9 - (-28) / 110) * (762 + (-3))", "solution_steps": ["Divide: -28 / 110 = -14/55", "Subtract: -9 - (-14/55) = -481/55", "Add: 762 + (-3) = 759", "Multiply: (-481/55) * 759 = -33189/5"], "final_answer": "-33189/5", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - (-28) / 110) * (762 + (-3))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -28, \"c\": 110, \"d\": 762, \"e\": -3}", "seed": "10540074897532461546", "semantic_fingerprint": "sha256:a6781464212c359ed533783b74bfd24b7a13a87d7f2d869ce7e0b8d29988ee48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000087", "prompt": "What is (-207 / (-8) + (-9 - (-76))) * 7?", "solution_steps": ["Divide: -207 / (-8) = 207/8", "Subtract: -9 - (-76) = 67", "Add: 207/8 + 67 = 743/8", "Multiply: (743/8) * 7 = 5201/8"], "final_answer": "5201/8", "answer_type": "rational", "kind": "expression", "math_text": "(-207 / (-8) + (-9 - (-76))) * 7", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -207, \"b\": -8, \"c\": -9, \"d\": -76, \"e\": 7}", "seed": "939320659308605290", "semantic_fingerprint": "sha256:32961d7671d3d9a058f63d587cc945969930ef213767f78175f429d052567a9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000088", "prompt": "Calculate: 4 / (-66) * (-3) - (7 + 840)", "solution_steps": ["Divide: 4 / (-66) = -2/33", "Multiply: (-2/33) * (-3) = 2/11", "Add: 7 + 840 = 847", "Subtract: 2/11 - 847 = -9315/11"], "final_answer": "-9315/11", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-66) * (-3) - (7 + 840)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -66, \"c\": -3, \"d\": 7, \"e\": 840}", "seed": "14277237445691136132", "semantic_fingerprint": "sha256:4bd00a091d623caaa8b6345ea67e78590a3f11b458586db07467019d13c43c2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000089", "prompt": "Compute: -733 / 590 / (2 / (-213)) * (-2)", "solution_steps": ["Divide: -733 / 590 = -733/590", "Divide: 2 / (-213) = -2/213", "Divide: (-733/590) / (-2/213) = 156129/1180", "Multiply: (156129/1180) * (-2) = -156129/590"], "final_answer": "-156129/590", "answer_type": "rational", "kind": "expression", "math_text": "-733 / 590 / (2 / (-213)) * (-2)", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -733, \"b\": 590, \"c\": 2, \"d\": -213, \"e\": -2}", "seed": "3380580975706589792", "semantic_fingerprint": "sha256:3c20342565223de4b7e354a35f717038e23adda611dc4407cb046189b6ed7f6a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000090", "prompt": "Evaluate: 473 / (-268 - (-50)) * (-3) - 71 * 52", "solution_steps": ["Subtract: -268 - (-50) = -218", "Divide: 473 / (-218) = -473/218", "Multiply: (-473/218) * (-3) = 1419/218", "Multiply: 71 * 52 = 3692", "Subtract: 1419/218 - 3692 = -803437/218"], "final_answer": "-803437/218", "answer_type": "rational", "kind": "expression", "math_text": "473 / (-268 - (-50)) * (-3) - 71 * 52", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n (- n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 473, \"b\": -268, \"c\": -50, \"d\": -3, \"e\": 71, \"f\": 52}", "seed": "11922608689831562212", "semantic_fingerprint": "sha256:51ee189b744dede73e61609753a4d8f90a80cf222a07ace1037b4fcb1096b62f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000091", "prompt": "Calculate: 38 * (-44) + (-46 - 7)", "solution_steps": ["Multiply: 38 * (-44) = -1672", "Subtract: -46 - 7 = -53", "Add: -1672 + (-53) = -1725"], "final_answer": "-1725", "answer_type": "integer", "kind": "expression", "math_text": "38 * (-44) + (-46 - 7)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -44, \"c\": -46, \"d\": 7}", "seed": "10855493231463223182", "semantic_fingerprint": "sha256:259f204536f4c3dce2786036ca2c36dd573ccf7db5f9587e1cd5f4763bec6632", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000092", "prompt": "Find x: 5(x - 7) + 88 = -2(x + 344)", "solution_steps": ["Expand: 5x - 35 + 88 = -2(x + 344)", "Expand: 5x - 35 + 88 = -2x - 688", "Combine constants: 5x + 53 = -2x - 688", "Add 2x to both sides: 7x + 53 = -688", "Subtract 53 from both sides: 7x = -741", "Divide both sides by 7: x = -741/7"], "final_answer": "-741/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 7) + 88 = -2(x + 344)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 88, \"d\": -2, \"e\": 344}", "seed": "15481641695713297637", "semantic_fingerprint": "sha256:07a1b5a88f9ca8868c2b9e5c9ab65a0f59d5da2143b0a3bcaa80609c27dfe030", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000093", "prompt": "What value of x satisfies 12x - 53 = 8x - 9?", "solution_steps": ["Subtract 8x from both sides: 4x - 53 = -9", "Add 53 to both sides: 4x = 44", "Divide both sides by 4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 53 = 8x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 53, \"c\": 8, \"e\": -9, \"x\": 11}", "seed": "234966150143089088", "semantic_fingerprint": "sha256:4f2753418ffcd3f91a14f7744769273340541d345e179ab981edbc2d060fcd15", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000094", "prompt": "Evaluate: (-906 + (-297)) / (1 + 851)", "solution_steps": ["Add: -906 + (-297) = -1203", "Add: 1 + 851 = 852", "Divide: -1203 / 852 = -401/284"], "final_answer": "-401/284", "answer_type": "rational", "kind": "expression", "math_text": "(-906 + (-297)) / (1 + 851)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -906, \"b\": -297, \"c\": 1, \"d\": 851}", "seed": "7842631738841343142", "semantic_fingerprint": "sha256:8e83605d7996dcccaa8b2d7acdeddb595ae34703f5ce5d3898203cc6e837c499", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000095", "prompt": "What is (-374 - (2 + (-908))) * (-257)?", "solution_steps": ["Add: 2 + (-908) = -906", "Subtract: -374 - (-906) = 532", "Multiply: 532 * (-257) = -136724"], "final_answer": "-136724", "answer_type": "integer", "kind": "expression", "math_text": "(-374 - (2 + (-908))) * (-257)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -374, \"b\": 2, \"c\": -908, \"d\": -257}", "seed": "18224790938500537393", "semantic_fingerprint": "sha256:80b55104b63d5609ad4da163e7be32c8c7ca8788d26889df6feead5fb9de8e3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000096", "prompt": "Calculate: -667 * (-78) + (-962) + 12", "solution_steps": ["Multiply: -667 * (-78) = 52026", "Add: 52026 + (-962) = 51064", "Add: 51064 + 12 = 51076"], "final_answer": "51076", "answer_type": "integer", "kind": "expression", "math_text": "-667 * (-78) + (-962) + 12", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -667, \"b\": -78, \"c\": -962, \"d\": 12}", "seed": "8713950231321984061", "semantic_fingerprint": "sha256:e0d93c0eea57547fe2a87f8d01f20ad3ba7768746ceb38bef92250ed28f5677c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000097", "prompt": "What is 66 * (-449) + 11 * (-18) + (-820)?", "solution_steps": ["Multiply: 66 * (-449) = -29634", "Multiply: 11 * (-18) = -198", "Add: -29634 + (-198) = -29832", "Add: -29832 + (-820) = -30652"], "final_answer": "-30652", "answer_type": "integer", "kind": "expression", "math_text": "66 * (-449) + 11 * (-18) + (-820)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -449, \"c\": 11, \"d\": -18, \"e\": -820}", "seed": "18415431007217758185", "semantic_fingerprint": "sha256:6203aada38137a1f24b10e5b84e92d182e92a58eadac4df27be28a8e22ec91d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000098", "prompt": "Solve for x: 5x = 2(x + 7) + 31", "solution_steps": ["Expand: 5x = 2x + 14 + 31", "Combine constants: 5x = 2x + 45", "Subtract 2x from both sides: 3x = 45", "Divide both sides by 3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 2(x + 7) + 31", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 7, \"e\": 31, \"x\": 15}", "seed": "10813331406057738685", "semantic_fingerprint": "sha256:8c972d765529ef12d1bc4e0296f79a87b19c7f0d8fafcb3b310d4adf4c5a76d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000099", "prompt": "Evaluate: -317 * (-403) + 68 * 3", "solution_steps": ["Multiply: -317 * (-403) = 127751", "Multiply: 68 * 3 = 204", "Add: 127751 + 204 = 127955"], "final_answer": "127955", "answer_type": "integer", "kind": "expression", "math_text": "-317 * (-403) + 68 * 3", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -317, \"b\": -403, \"c\": 68, \"d\": 3}", "seed": "18168863304645297187", "semantic_fingerprint": "sha256:09ebceaff4f2df2980f98425494fe2565f778087fe49a8cb1c0fa676021d1657", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000100", "prompt": "What value of x satisfies 5x - 9 = 4x - 1?", "solution_steps": ["Subtract 4x from both sides: x - 9 = -1", "Add 9 to both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 9 = 4x - 1", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 4, \"e\": -1, \"x\": 8}", "seed": "18320045976133471748", "semantic_fingerprint": "sha256:38b15136795cc6ad401964b21694e2de7230963d36b616c38b13cd2b0491299f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000101", "prompt": "What value of x satisfies 9(x + 81) + 6 = x + 839?", "solution_steps": ["Expand: 9x + 729 + 6 = x + 839", "Combine constants: 9x + 735 = x + 839", "Subtract x from both sides: 8x + 735 = 839", "Subtract 735 from both sides: 8x = 104", "Divide both sides by 8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 81) + 6 = x + 839", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 81, \"c\": 6, \"e\": 839, \"x\": 13}", "seed": "4362048960460108774", "semantic_fingerprint": "sha256:dae35b37a5e896a5fe326a742866ba26cdbfa066532be0f89285f6357f068f0c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000102", "prompt": "Evaluate: -751 / (1 * (6 - 0) - (-9))", "solution_steps": ["Subtract: 6 - 0 = 6", "Multiply: 1 * 6 = 6", "Subtract: 6 - (-9) = 15", "Divide: -751 / 15 = -751/15"], "final_answer": "-751/15", "answer_type": "rational", "kind": "expression", "math_text": "-751 / (1 * (6 - 0) - (-9))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -751, \"b\": 1, \"c\": 6, \"d\": 0, \"e\": -9}", "seed": "1829712829063076824", "semantic_fingerprint": "sha256:164962e58114be4f579c1d2910bf92dcdd17982c0e9e48e781165ada59c591c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000103", "prompt": "Calculate: (-9 - (-3) * (-27)) / (-6)", "solution_steps": ["Multiply: -3 * (-27) = 81", "Subtract: -9 - 81 = -90", "Divide: -90 / (-6) = 15"], "final_answer": "15", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - (-3) * (-27)) / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": -27, \"d\": -6}", "seed": "9123521147060115714", "semantic_fingerprint": "sha256:441f15b528cdc4a7b91be830e342c570e659bbe13fe1e4183da337a7b90bcbd5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000104", "prompt": "Calculate: -68 - 962 - (32 / (-2) - (-11)) + (-483)", "solution_steps": ["Subtract: -68 - 962 = -1030", "Divide: 32 / (-2) = -16", "Subtract: -16 - (-11) = -5", "Subtract: -1030 - (-5) = -1025", "Add: -1025 + (-483) = -1508"], "final_answer": "-1508", "answer_type": "integer", "kind": "expression", "math_text": "-68 - 962 - (32 / (-2) - (-11)) + (-483)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (- (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 962, \"c\": 32, \"d\": -2, \"e\": -11, \"f\": -483}", "seed": "1998545669542464921", "semantic_fingerprint": "sha256:58e3b0b432b754c934f70bcbe9539be9883d6d69e3583edb5ce2242167ab1755", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000105", "prompt": "Calculate: 71 - (803 + 66) - (502 - (-79) * (-61))", "solution_steps": ["Add: 803 + 66 = 869", "Subtract: 71 - 869 = -798", "Multiply: -79 * (-61) = 4819", "Subtract: 502 - 4819 = -4317", "Subtract: -798 - (-4317) = 3519"], "final_answer": "3519", "answer_type": "integer", "kind": "expression", "math_text": "71 - (803 + 66) - (502 - (-79) * (-61))", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 803, \"c\": 66, \"d\": 502, \"e\": -79, \"f\": -61}", "seed": "1441264101422060039", "semantic_fingerprint": "sha256:7ce52c8158f9762a3cdf3304a5e7fb7b719f5152663fdeec2ed30f1dfb8249f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000106", "prompt": "What is 4 * (-36) + (-66) / (76 - 66)?", "solution_steps": ["Multiply: 4 * (-36) = -144", "Subtract: 76 - 66 = 10", "Divide: -66 / 10 = -33/5", "Add: -144 + (-33/5) = -753/5"], "final_answer": "-753/5", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-36) + (-66) / (76 - 66)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -36, \"c\": -66, \"d\": 76, \"e\": 66}", "seed": "5331716377331674373", "semantic_fingerprint": "sha256:9c9f88e5c01a1135772721b1845a76fe4dd1220a44d1a5b88c1514c6caa6ed7b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000107", "prompt": "Calculate: 0 + (-645) + 673 - (-7) + 531", "solution_steps": ["Add: 0 + (-645) = -645", "Add: -645 + 673 = 28", "Subtract: 28 - (-7) = 35", "Add: 35 + 531 = 566"], "final_answer": "566", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-645) + 673 - (-7) + 531", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -645, \"c\": 673, \"d\": -7, \"e\": 531}", "seed": "2315422383177178150", "semantic_fingerprint": "sha256:34435334d0e3114ed78792df8d990d9e83a2be22162a114ee804f171417c7e11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000108", "prompt": "Calculate: -71 * (-52 / (-554) / (-54)) * 629", "solution_steps": ["Divide: -52 / (-554) = 26/277", "Divide: (26/277) / (-54) = -13/7479", "Multiply: -71 * (-13/7479) = 923/7479", "Multiply: (923/7479) * 629 = 580567/7479"], "final_answer": "580567/7479", "answer_type": "rational", "kind": "expression", "math_text": "-71 * (-52 / (-554) / (-54)) * 629", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -52, \"c\": -554, \"d\": -54, \"e\": 629}", "seed": "11336400229827283840", "semantic_fingerprint": "sha256:a117f5c8270fd6eacd59ceaf55ab1c686d3dae62e3b2d2ec03d8717019ed8488", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000109", "prompt": "Compute: -9 / (27 / (-915)) / 28 - (-79)", "solution_steps": ["Divide: 27 / (-915) = -9/305", "Divide: -9 / (-9/305) = 305", "Divide: 305 / 28 = 305/28", "Subtract: 305/28 - (-79) = 2517/28"], "final_answer": "2517/28", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (27 / (-915)) / 28 - (-79)", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 27, \"c\": -915, \"d\": 28, \"e\": -79}", "seed": "11586121394302709150", "semantic_fingerprint": "sha256:33d30e3fee962c129ee2098b0c66abff6f60073d10ae72cb396e3cd9d792c04a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000110", "prompt": "Compute: (1 * (-365) / (-29) + 28) * 282", "solution_steps": ["Multiply: 1 * (-365) = -365", "Divide: -365 / (-29) = 365/29", "Add: 365/29 + 28 = 1177/29", "Multiply: (1177/29) * 282 = 331914/29"], "final_answer": "331914/29", "answer_type": "rational", "kind": "expression", "math_text": "(1 * (-365) / (-29) + 28) * 282", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -365, \"c\": -29, \"d\": 28, \"e\": 282}", "seed": "16216869230940537246", "semantic_fingerprint": "sha256:b7c2816013f72053381cb81fb59beb18cc26d749d3110286b4a00dc95765c622", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000111", "prompt": "Compute: -61 - (65 + 95) / (-954)", "solution_steps": ["Add: 65 + 95 = 160", "Divide: 160 / (-954) = -80/477", "Subtract: -61 - (-80/477) = -29017/477"], "final_answer": "-29017/477", "answer_type": "rational", "kind": "expression", "math_text": "-61 - (65 + 95) / (-954)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 65, \"c\": 95, \"d\": -954}", "seed": "2858784549367048116", "semantic_fingerprint": "sha256:f93709b7d06af04f285495b1f5fdcd597b7a13365b00e629f9ccd22a24a7b722", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000112", "prompt": "Solve for x: 8x - 104 = 2(x - 1)", "solution_steps": ["Expand: 8x - 104 = 2x - 2", "Subtract 2x from both sides: 6x - 104 = -2", "Add 104 to both sides: 6x = 102", "Divide both sides by 6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 104 = 2(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 1, \"e\": -104, \"x\": 17}", "seed": "2233278451337690575", "semantic_fingerprint": "sha256:4029560923952a8d4eb3b950d197f00ae4a5239b77bb0d0f38861d04826402e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000113", "prompt": "Compute: (-6 + (-841)) / 810 + 3", "solution_steps": ["Add: -6 + (-841) = -847", "Divide: -847 / 810 = -847/810", "Add: -847/810 + 3 = 1583/810"], "final_answer": "1583/810", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-841)) / 810 + 3", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -841, \"c\": 810, \"d\": 3}", "seed": "7338489557609104094", "semantic_fingerprint": "sha256:0ce370cf161614b6aa776701152a428dec45ed83b3ac59e08a561736103015a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000114", "prompt": "What value of x satisfies 3x - 57 = 7x - 511?", "solution_steps": ["Subtract 7x from both sides: -4x - 57 = -511", "Add 57 to both sides: -4x = -454", "Divide both sides by -4: x = 227/2"], "final_answer": "227/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 57 = 7x - 511", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 57, \"c\": 7, \"d\": 511}", "seed": "17600199665746954005", "semantic_fingerprint": "sha256:d668ec1a7649f9bec75514c317f684b19b4aa3b9d98f4ea4532d348ce744d9a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000115", "prompt": "What is 227 + (56 * (-8 / (-1) * (-8)) - 33)?", "solution_steps": ["Divide: -8 / (-1) = 8", "Multiply: 8 * (-8) = -64", "Multiply: 56 * (-64) = -3584", "Subtract: -3584 - 33 = -3617", "Add: 227 + (-3617) = -3390"], "final_answer": "-3390", "answer_type": "integer", "kind": "expression", "math_text": "227 + (56 * (-8 / (-1) * (-8)) - 33)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* n (* (/ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 227, \"b\": 56, \"c\": -8, \"d\": -1, \"e\": -8, \"f\": 33}", "seed": "6136028728562418878", "semantic_fingerprint": "sha256:d5b3ae4aaee03a124d82458d4367d003a09582fcb3cacb600b1e4927cb4cd97b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000116", "prompt": "Evaluate: 0 * (-30) + 858 * (-9 * 8)", "solution_steps": ["Multiply: 0 * (-30) = 0", "Multiply: -9 * 8 = -72", "Multiply: 858 * (-72) = -61776", "Add: 0 + (-61776) = -61776"], "final_answer": "-61776", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-30) + 858 * (-9 * 8)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -30, \"c\": 858, \"d\": -9, \"e\": 8}", "seed": "12667652686528523089", "semantic_fingerprint": "sha256:db1a02d1752637680a26a4c266b3ffb143b6cb6bb282cd3d109643212b457c68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000117", "prompt": "Find x: -7x - 40 = 4x - 161", "solution_steps": ["Subtract 4x from both sides: -11x - 40 = -161", "Add 40 to both sides: -11x = -121", "Divide both sides by -11: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 40 = 4x - 161", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 40, \"c\": 4, \"e\": -161, \"x\": 11}", "seed": "18001841529494377427", "semantic_fingerprint": "sha256:cd9746c56d2ba40095bb878eec2628a90b72aa0055a534b1bd05187e4f2261f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000118", "prompt": "Calculate: 79 * (111 * (-2)) + 977", "solution_steps": ["Multiply: 111 * (-2) = -222", "Multiply: 79 * (-222) = -17538", "Add: -17538 + 977 = -16561"], "final_answer": "-16561", "answer_type": "integer", "kind": "expression", "math_text": "79 * (111 * (-2)) + 977", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 111, \"c\": -2, \"d\": 977}", "seed": "8941182359657475268", "semantic_fingerprint": "sha256:b0fb32cb1e55549a2eb0bfe84dc488e395e5942a1994ceb87d14f0300629f59a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000119", "prompt": "Calculate: (-213 + 90) * ((194 * 9 + 20) / 905)", "solution_steps": ["Add: -213 + 90 = -123", "Multiply: 194 * 9 = 1746", "Add: 1746 + 20 = 1766", "Divide: 1766 / 905 = 1766/905", "Multiply: -123 * (1766/905) = -217218/905"], "final_answer": "-217218/905", "answer_type": "rational", "kind": "expression", "math_text": "(-213 + 90) * ((194 * 9 + 20) / 905)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (+ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -213, \"b\": 90, \"c\": 194, \"d\": 9, \"e\": 20, \"f\": 905}", "seed": "5094678050527021655", "semantic_fingerprint": "sha256:e49cd0042f59a6c13c7397d9508d0979b4fdbd752949ef6f53151ec01d043c32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000120", "prompt": "Find x: 3(x - 9) + 6 = 6(x + 5)", "solution_steps": ["Expand: 3x - 27 + 6 = 6(x + 5)", "Expand: 3x - 27 + 6 = 6x + 30", "Combine constants: 3x - 21 = 6x + 30", "Subtract 6x from both sides: -3x - 21 = 30", "Add 21 to both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 9) + 6 = 6(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 6, \"d\": 5, \"f\": 6, \"x\": -17}", "seed": "14128430222861789819", "semantic_fingerprint": "sha256:a1546f78afad68dacb1f0e0d58d357668143186ea07355f9aacd39c9e932e409", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000121", "prompt": "What value of x satisfies 2x - 196 = 8(x - 17)?", "solution_steps": ["Expand: 2x - 196 = 8x - 136", "Subtract 8x from both sides: -6x - 196 = -136", "Add 196 to both sides: -6x = 60", "Divide both sides by -6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 196 = 8(x - 17)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 17, \"e\": -196, \"x\": -10}", "seed": "533262759084795934", "semantic_fingerprint": "sha256:8de708ec566a64fa8bfd96cb5eaba3c842acf5fbb6c35325fe512aa2cf1d3d5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000122", "prompt": "What is 88 - (522 / (28 * 55) - (-2))?", "solution_steps": ["Multiply: 28 * 55 = 1540", "Divide: 522 / 1540 = 261/770", "Subtract: 261/770 - (-2) = 1801/770", "Subtract: 88 - 1801/770 = 65959/770"], "final_answer": "65959/770", "answer_type": "rational", "kind": "expression", "math_text": "88 - (522 / (28 * 55) - (-2))", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 522, \"c\": 28, \"d\": 55, \"e\": -2}", "seed": "4390842224598843699", "semantic_fingerprint": "sha256:2804463a89928140e489e6df20363ce912c891ce77be700aae9d1594770ea54d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000123", "prompt": "Evaluate: 14 / (-68 / 416) / 722 - 0", "solution_steps": ["Divide: -68 / 416 = -17/104", "Divide: 14 / (-17/104) = -1456/17", "Divide: (-1456/17) / 722 = -728/6137", "Subtract: -728/6137 - 0 = -728/6137"], "final_answer": "-728/6137", "answer_type": "rational", "kind": "expression", "math_text": "14 / (-68 / 416) / 722 - 0", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -68, \"c\": 416, \"d\": 722, \"e\": 0}", "seed": "1588365376472617230", "semantic_fingerprint": "sha256:684d4ae99327152a1fbe72c744f5d02907c93ab3b9c63642c77561abb430eede", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000124", "prompt": "Calculate: 3 * (-22) - (-65) / (-29 / 484) * 24", "solution_steps": ["Multiply: 3 * (-22) = -66", "Divide: -29 / 484 = -29/484", "Divide: -65 / (-29/484) = 31460/29", "Multiply: (31460/29) * 24 = 755040/29", "Subtract: -66 - 755040/29 = -756954/29"], "final_answer": "-756954/29", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-22) - (-65) / (-29 / 484) * 24", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (/ n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -22, \"c\": -65, \"d\": -29, \"e\": 484, \"f\": 24}", "seed": "12899487868738874840", "semantic_fingerprint": "sha256:a8fa8e09df3ad3689614fb94728f5f99ce26cae2ce8bc3771d82c5d5e071ecb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000125", "prompt": "Evaluate: -75 - 84 - (-60) * (-86 - 84 * 75)", "solution_steps": ["Subtract: -75 - 84 = -159", "Multiply: 84 * 75 = 6300", "Subtract: -86 - 6300 = -6386", "Multiply: -60 * (-6386) = 383160", "Subtract: -159 - 383160 = -383319"], "final_answer": "-383319", "answer_type": "integer", "kind": "expression", "math_text": "-75 - 84 - (-60) * (-86 - 84 * 75)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 84, \"c\": -60, \"d\": -86, \"e\": 84, \"f\": 75}", "seed": "15308311915381043359", "semantic_fingerprint": "sha256:444a4f681243e10732a173d4dbdabafc3aca07e5b7391f39f4dcb1a1e8ae1b4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000126", "prompt": "What is -92 - 79 * (-346 / 19)?", "solution_steps": ["Divide: -346 / 19 = -346/19", "Multiply: 79 * (-346/19) = -27334/19", "Subtract: -92 - (-27334/19) = 25586/19"], "final_answer": "25586/19", "answer_type": "rational", "kind": "expression", "math_text": "-92 - 79 * (-346 / 19)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 79, \"c\": -346, \"d\": 19}", "seed": "3527730547101132118", "semantic_fingerprint": "sha256:3ea94fda7f48990a906516055053d1565a7fe61f054a14aeacdcfa9a53153c6b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000127", "prompt": "Solve for x: 5x - 6 = 10(x - 15)", "solution_steps": ["Expand: 5x - 6 = 10x - 150", "Subtract 10x from both sides: -5x - 6 = -150", "Add 6 to both sides: -5x = -144", "Divide both sides by -5: x = 144/5"], "final_answer": "144/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 6 = 10(x - 15)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 10, \"d\": 15}", "seed": "1817034896403877182", "semantic_fingerprint": "sha256:ff23e7b5b0d25d4856803f8f3bd9a188caa29eb8407900749e713c74b5935bb5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000128", "prompt": "What is -4 + 819 + (-37) * (-4 + 7)?", "solution_steps": ["Add: -4 + 819 = 815", "Add: -4 + 7 = 3", "Multiply: -37 * 3 = -111", "Add: 815 + (-111) = 704"], "final_answer": "704", "answer_type": "integer", "kind": "expression", "math_text": "-4 + 819 + (-37) * (-4 + 7)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 819, \"c\": -37, \"d\": -4, \"e\": 7}", "seed": "13810276698409067155", "semantic_fingerprint": "sha256:79ecbf2cdbceac0c297eee04b62fe88a9c450a0cf507615691bd82ebabc677bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000129", "prompt": "Calculate: -1 * (-71 * (-42 + (-6))) - (-43)", "solution_steps": ["Add: -42 + (-6) = -48", "Multiply: -71 * (-48) = 3408", "Multiply: -1 * 3408 = -3408", "Subtract: -3408 - (-43) = -3365"], "final_answer": "-3365", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-71 * (-42 + (-6))) - (-43)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -71, \"c\": -42, \"d\": -6, \"e\": -43}", "seed": "5646971600976831544", "semantic_fingerprint": "sha256:b0bbc6d9819e47dca663cbc0096a92e6214ef409a7bba0bd978c3eb4f7adde63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000130", "prompt": "Solve for x: -10x - 82 = -9(x - 6)", "solution_steps": ["Expand: -10x - 82 = -9x + 54", "Add 9x to both sides: -x - 82 = 54", "Add 82 to both sides: -x = 136", "Divide both sides by -1: x = -136"], "final_answer": "-136", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 82 = -9(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 82, \"c\": -9, \"d\": 6}", "seed": "1932745440211355037", "semantic_fingerprint": "sha256:ab1ec399c8ebc494bbf092a84f2672697cc4b20840a164c48cd0fcbbcbdd3b53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000131", "prompt": "What is -79 + (-79 - 565) + (-167)?", "solution_steps": ["Subtract: -79 - 565 = -644", "Add: -79 + (-644) = -723", "Add: -723 + (-167) = -890"], "final_answer": "-890", "answer_type": "integer", "kind": "expression", "math_text": "-79 + (-79 - 565) + (-167)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -79, \"c\": 565, \"d\": -167}", "seed": "13598175989413969857", "semantic_fingerprint": "sha256:221af73ca8032814d7c48bca0270e5503927085ea1d1fba4f0715f765edfe892", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000132", "prompt": "What is -1 * (82 - 293 - 0) * 31?", "solution_steps": ["Subtract: 82 - 293 = -211", "Subtract: -211 - 0 = -211", "Multiply: -1 * (-211) = 211", "Multiply: 211 * 31 = 6541"], "final_answer": "6541", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (82 - 293 - 0) * 31", "variable": null, "family": "expression_4op", "shape": "(* (* n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 82, \"c\": 293, \"d\": 0, \"e\": 31}", "seed": "14535378116208014940", "semantic_fingerprint": "sha256:cb4c2cf13702978ff9f55fe5a31e4133dafb825518a30da41def702c0a073a80", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000133", "prompt": "What is 67 * 5 * (-54 / (-848))?", "solution_steps": ["Multiply: 67 * 5 = 335", "Divide: -54 / (-848) = 27/424", "Multiply: 335 * (27/424) = 9045/424"], "final_answer": "9045/424", "answer_type": "rational", "kind": "expression", "math_text": "67 * 5 * (-54 / (-848))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 5, \"c\": -54, \"d\": -848}", "seed": "6017780900713896455", "semantic_fingerprint": "sha256:ee23ec7f38ca3ac55de42d150734b90a845ae413c577e1951bba9bd9945d51e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000134", "prompt": "Solve the equation -3x = 11(x + 7) + 86 for x.", "solution_steps": ["Expand: -3x = 11x + 77 + 86", "Combine constants: -3x = 11x + 163", "Subtract 11x from both sides: -14x = 163", "Divide both sides by -14: x = -163/14"], "final_answer": "-163/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x = 11(x + 7) + 86", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 11, \"c\": 7, \"d\": 86}", "seed": "15372406459446372801", "semantic_fingerprint": "sha256:515736ab55de6ad14f1a559c598a084a4bd3419b61025a414e043c324ba9502b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000135", "prompt": "Calculate: -950 + (42 + 6) - (-83 - 861)", "solution_steps": ["Add: 42 + 6 = 48", "Add: -950 + 48 = -902", "Subtract: -83 - 861 = -944", "Subtract: -902 - (-944) = 42"], "final_answer": "42", "answer_type": "integer", "kind": "expression", "math_text": "-950 + (42 + 6) - (-83 - 861)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -950, \"b\": 42, \"c\": 6, \"d\": -83, \"e\": 861}", "seed": "17322537760718363503", "semantic_fingerprint": "sha256:9040a6c06ea1eb263e8b4b5a4ef1b3f0218dbcf8e9187c250876f10c5edcd789", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000136", "prompt": "Compute: -726 / (-80) * (8 / (-712 + 36)) - 15", "solution_steps": ["Divide: -726 / (-80) = 363/40", "Add: -712 + 36 = -676", "Divide: 8 / (-676) = -2/169", "Multiply: (363/40) * (-2/169) = -363/3380", "Subtract: -363/3380 - 15 = -51063/3380"], "final_answer": "-51063/3380", "answer_type": "rational", "kind": "expression", "math_text": "-726 / (-80) * (8 / (-712 + 36)) - 15", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) (/ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -726, \"b\": -80, \"c\": 8, \"d\": -712, \"e\": 36, \"f\": 15}", "seed": "16282626852132807466", "semantic_fingerprint": "sha256:8ea86578b166016a03b5b4538ce7210cca097c3d4c1185803858a9f49dda4e16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000137", "prompt": "Compute: 2 * (2 - (-53) - (-890)) * (-327)", "solution_steps": ["Subtract: 2 - (-53) = 55", "Subtract: 55 - (-890) = 945", "Multiply: 2 * 945 = 1890", "Multiply: 1890 * (-327) = -618030"], "final_answer": "-618030", "answer_type": "integer", "kind": "expression", "math_text": "2 * (2 - (-53) - (-890)) * (-327)", "variable": null, "family": "expression_4op", "shape": "(* (* n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": -53, \"d\": -890, \"e\": -327}", "seed": "5332198771356509871", "semantic_fingerprint": "sha256:09cddf918f2257b5c9a290e0dcefbe7eac7dc9f253ebe0be589d07cb1deeb105", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000138", "prompt": "Solve the equation 2x = 4(x + 8) - 66 for x.", "solution_steps": ["Expand: 2x = 4x + 32 - 66", "Combine constants: 2x = 4x - 34", "Subtract 4x from both sides: -2x = -34", "Divide both sides by -2: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 4(x + 8) - 66", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 8, \"e\": -66, \"x\": 17}", "seed": "4075615154961473922", "semantic_fingerprint": "sha256:eb8a0c3b8d213e153a29053750148611e5349baf2cccd3ae4a0f9d0bf6735e60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000139", "prompt": "Solve the equation -4x - 26 = -9x - 31 for x.", "solution_steps": ["Add 9x to both sides: 5x - 26 = -31", "Add 26 to both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 26 = -9x - 31", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 26, \"c\": -9, \"e\": -31, \"x\": -1}", "seed": "9055469812324153297", "semantic_fingerprint": "sha256:430bef199ac5e9d292dee100547d0edfc673e7bd784003c077e385d6157b503e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000140", "prompt": "Find x: 6(x - 9) - 98 = x + 87", "solution_steps": ["Expand: 6x - 54 - 98 = x + 87", "Combine constants: 6x - 152 = x + 87", "Subtract x from both sides: 5x - 152 = 87", "Add 152 to both sides: 5x = 239", "Divide both sides by 5: x = 239/5"], "final_answer": "239/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 9) - 98 = x + 87", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 98, \"d\": 87}", "seed": "7847669406841987534", "semantic_fingerprint": "sha256:6dd83589fe4cf0e6828c53405c8ca75dbf576f64883ad5c363dd658e00e5a7bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000141", "prompt": "Solve for x: 12(x + 60) + 71 = x + 5", "solution_steps": ["Expand: 12x + 720 + 71 = x + 5", "Combine constants: 12x + 791 = x + 5", "Subtract x from both sides: 11x + 791 = 5", "Subtract 791 from both sides: 11x = -786", "Divide both sides by 11: x = -786/11"], "final_answer": "-786/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 60) + 71 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 60, \"c\": 71, \"d\": 5}", "seed": "5624970778384120042", "semantic_fingerprint": "sha256:ab76594295111845a80c2918fceea46d95fc890421e62d75da7248a2958c236c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000142", "prompt": "Calculate: -6 * (-898 / (-64)) * (921 - 642)", "solution_steps": ["Divide: -898 / (-64) = 449/32", "Multiply: -6 * (449/32) = -1347/16", "Subtract: 921 - 642 = 279", "Multiply: (-1347/16) * 279 = -375813/16"], "final_answer": "-375813/16", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-898 / (-64)) * (921 - 642)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -898, \"c\": -64, \"d\": 921, \"e\": 642}", "seed": "11817706555375203727", "semantic_fingerprint": "sha256:c8bbdb5846481898c8284b5af4fe8f107493468c4ca2cbab0f07d2375a251f07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000143", "prompt": "Compute: -3 / (9 / 20) * (-15) + (2 - (-66))", "solution_steps": ["Divide: 9 / 20 = 9/20", "Divide: -3 / (9/20) = -20/3", "Multiply: (-20/3) * (-15) = 100", "Subtract: 2 - (-66) = 68", "Add: 100 + 68 = 168"], "final_answer": "168", "answer_type": "integer", "kind": "expression", "math_text": "-3 / (9 / 20) * (-15) + (2 - (-66))", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 20, \"d\": -15, \"e\": 2, \"f\": -66}", "seed": "8553150298512916858", "semantic_fingerprint": "sha256:b584d952ef3f2995793b12a3ace3e08db05b24a6600190be85ce4382c8508eea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000144", "prompt": "Solve for x: 12x = -3(x + 2) - 9", "solution_steps": ["Expand: 12x = -3x - 6 - 9", "Combine constants: 12x = -3x - 15", "Add 3x to both sides: 15x = -15", "Divide both sides by 15: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -3(x + 2) - 9", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -3, \"c\": 2, \"e\": -9, \"x\": -1}", "seed": "9091883761459198140", "semantic_fingerprint": "sha256:dc1c4dc78ea97cc4a1ed3d89de97e36de19f878159e08e3a0dff04cd571acc24", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000145", "prompt": "Solve the equation 11(x + 36) - 2 = x + 384 for x.", "solution_steps": ["Expand: 11x + 396 - 2 = x + 384", "Combine constants: 11x + 394 = x + 384", "Subtract x from both sides: 10x + 394 = 384", "Subtract 394 from both sides: 10x = -10", "Divide both sides by 10: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 36) - 2 = x + 384", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 36, \"c\": 2, \"e\": 384, \"x\": -1}", "seed": "7049256874684543189", "semantic_fingerprint": "sha256:2f027b19ed3f1217fdd3561fab9789c8aee04f0f4ceb1fdfe56ccc4f33d390fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000146", "prompt": "Compute: -3 - (-23) * 27 / (302 + 326) + (-3)", "solution_steps": ["Multiply: -23 * 27 = -621", "Add: 302 + 326 = 628", "Divide: -621 / 628 = -621/628", "Subtract: -3 - (-621/628) = -1263/628", "Add: -1263/628 + (-3) = -3147/628"], "final_answer": "-3147/628", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-23) * 27 / (302 + 326) + (-3)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ (* n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -23, \"c\": 27, \"d\": 302, \"e\": 326, \"f\": -3}", "seed": "3800742927472696029", "semantic_fingerprint": "sha256:17ae87978369f7262aa58dd881e34e3d7f826199d8c4db8d4d1ce5bc7da1c11c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000147", "prompt": "Calculate: (320 / 17 - 95) * (-8 - (-39))", "solution_steps": ["Divide: 320 / 17 = 320/17", "Subtract: 320/17 - 95 = -1295/17", "Subtract: -8 - (-39) = 31", "Multiply: (-1295/17) * 31 = -40145/17"], "final_answer": "-40145/17", "answer_type": "rational", "kind": "expression", "math_text": "(320 / 17 - 95) * (-8 - (-39))", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 320, \"b\": 17, \"c\": 95, \"d\": -8, \"e\": -39}", "seed": "5770324808126813317", "semantic_fingerprint": "sha256:91cdb676b63a5d8be4932b353653d36407366d37e4e4f714aef21f8346b62ef5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000148", "prompt": "Compute: (-195 + 22) / (-4) + 604", "solution_steps": ["Add: -195 + 22 = -173", "Divide: -173 / (-4) = 173/4", "Add: 173/4 + 604 = 2589/4"], "final_answer": "2589/4", "answer_type": "rational", "kind": "expression", "math_text": "(-195 + 22) / (-4) + 604", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -195, \"b\": 22, \"c\": -4, \"d\": 604}", "seed": "15001684709783041479", "semantic_fingerprint": "sha256:6e59c65c4a656f856faf913935c803a8d205556c886f1a9e635da9bf0434a10a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000149", "prompt": "What value of x satisfies -7(x + 45) + 568 = x + 365?", "solution_steps": ["Expand: -7x - 315 + 568 = x + 365", "Combine constants: -7x + 253 = x + 365", "Subtract x from both sides: -8x + 253 = 365", "Subtract 253 from both sides: -8x = 112", "Divide both sides by -8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 45) + 568 = x + 365", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 45, \"c\": 568, \"e\": 365, \"x\": -14}", "seed": "4333810950513273687", "semantic_fingerprint": "sha256:17b15d4a468a4715f2d98bc31d693584803b2a27555e2436f708d6b0d448df68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000150", "prompt": "Compute: (-24 * 17 - 319) * ((-20 + (-92)) / 8)", "solution_steps": ["Multiply: -24 * 17 = -408", "Subtract: -408 - 319 = -727", "Add: -20 + (-92) = -112", "Divide: -112 / 8 = -14", "Multiply: -727 * (-14) = 10178"], "final_answer": "10178", "answer_type": "integer", "kind": "expression", "math_text": "(-24 * 17 - 319) * ((-20 + (-92)) / 8)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 17, \"c\": 319, \"d\": -20, \"e\": -92, \"f\": 8}", "seed": "4141376851580912298", "semantic_fingerprint": "sha256:787276d43d50efbad3aa5712d1e99666f05480db7efc58a19b7f7650640a9006", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000151", "prompt": "What is (95 + (-73) / 292) * (325 - 7)?", "solution_steps": ["Divide: -73 / 292 = -1/4", "Add: 95 + (-1/4) = 379/4", "Subtract: 325 - 7 = 318", "Multiply: (379/4) * 318 = 60261/2"], "final_answer": "60261/2", "answer_type": "rational", "kind": "expression", "math_text": "(95 + (-73) / 292) * (325 - 7)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -73, \"c\": 292, \"d\": 325, \"e\": 7}", "seed": "773263319288997237", "semantic_fingerprint": "sha256:7954af888aa01457e5b973bfe1ebcd0b93fc47b5051157626222641fbd4d974f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000152", "prompt": "Evaluate: 8 - (-54 + (-69)) / (-1)", "solution_steps": ["Add: -54 + (-69) = -123", "Divide: -123 / (-1) = 123", "Subtract: 8 - 123 = -115"], "final_answer": "-115", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-54 + (-69)) / (-1)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -54, \"c\": -69, \"d\": -1}", "seed": "9114856762637873462", "semantic_fingerprint": "sha256:9d94228fd7e167a710d0243b6ef8550fdf92e9ee473b23dceb0dde5bf2a0a352", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000153", "prompt": "Find x: 12x = 11(x + 7) + 302", "solution_steps": ["Expand: 12x = 11x + 77 + 302", "Combine constants: 12x = 11x + 379", "Subtract 11x from both sides: x = 379"], "final_answer": "379", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 11(x + 7) + 302", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 11, \"c\": 7, \"d\": 302}", "seed": "847187881511665751", "semantic_fingerprint": "sha256:c391012131f5f9b58752d631b583d0679308c38f21506220e1cefc108206edab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000154", "prompt": "What is 63 - 1 / 61 - (-1)?", "solution_steps": ["Divide: 1 / 61 = 1/61", "Subtract: 63 - 1/61 = 3842/61", "Subtract: 3842/61 - (-1) = 3903/61"], "final_answer": "3903/61", "answer_type": "rational", "kind": "expression", "math_text": "63 - 1 / 61 - (-1)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 1, \"c\": 61, \"d\": -1}", "seed": "3076828655649106680", "semantic_fingerprint": "sha256:20965bda33a88784db24674b5ffb1a13379b336dd126813bc7c775f07565ed3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000155", "prompt": "What value of x satisfies 11x = 2(x + 96) - 246?", "solution_steps": ["Expand: 11x = 2x + 192 - 246", "Combine constants: 11x = 2x - 54", "Subtract 2x from both sides: 9x = -54", "Divide both sides by 9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 2(x + 96) - 246", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 96, \"e\": -246, \"x\": -6}", "seed": "14768834523926023154", "semantic_fingerprint": "sha256:1a8b60c5aaa81e3768dd6ed09b7dc05720465c6c01647e49066c7fe279755a7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000156", "prompt": "Find x: 7x = 12(x + 49) + 3", "solution_steps": ["Expand: 7x = 12x + 588 + 3", "Combine constants: 7x = 12x + 591", "Subtract 12x from both sides: -5x = 591", "Divide both sides by -5: x = -591/5"], "final_answer": "-591/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = 12(x + 49) + 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 49, \"d\": 3}", "seed": "18418057807696107046", "semantic_fingerprint": "sha256:ba6e567be3e5e9a4ec4009199ae69cd85cbc8bbac5222dd9c516b7a6003fee32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000157", "prompt": "What is 9 * (-6) + 8 * 998?", "solution_steps": ["Multiply: 9 * (-6) = -54", "Multiply: 8 * 998 = 7984", "Add: -54 + 7984 = 7930"], "final_answer": "7930", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-6) + 8 * 998", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": 8, \"d\": 998}", "seed": "13835232223524357143", "semantic_fingerprint": "sha256:fb879770457e217d03cb9f183f35dcd75c80c6da93cd946e3f81a0f288a3ddd0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000158", "prompt": "Find x: 8x - 30 = -6x - 282", "solution_steps": ["Add 6x to both sides: 14x - 30 = -282", "Add 30 to both sides: 14x = -252", "Divide both sides by 14: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 30 = -6x - 282", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 30, \"c\": -6, \"e\": -282, \"x\": -18}", "seed": "16996678741035311048", "semantic_fingerprint": "sha256:ed242a66813fedc9f9c72c5b8d38381e05e36f4bdb1c2db2d66ebb687f73cd09", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000159", "prompt": "Compute: (23 + 34) / (410 + 69)", "solution_steps": ["Add: 23 + 34 = 57", "Add: 410 + 69 = 479", "Divide: 57 / 479 = 57/479"], "final_answer": "57/479", "answer_type": "rational", "kind": "expression", "math_text": "(23 + 34) / (410 + 69)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 34, \"c\": 410, \"d\": 69}", "seed": "11159629398688857855", "semantic_fingerprint": "sha256:de9ab106c12de1346f4b91f97d01b1acec6bdabe5a3c55da7b2d38ed0b41db58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000160", "prompt": "Compute: (34 + 7) / (-97 + 27)", "solution_steps": ["Add: 34 + 7 = 41", "Add: -97 + 27 = -70", "Divide: 41 / (-70) = -41/70"], "final_answer": "-41/70", "answer_type": "rational", "kind": "expression", "math_text": "(34 + 7) / (-97 + 27)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 7, \"c\": -97, \"d\": 27}", "seed": "16911632492456220941", "semantic_fingerprint": "sha256:f6cc6d2fcab013c2f293973657dd79d1d94dc63ebce24e17c35e31f6543ca3b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000161", "prompt": "Solve the equation -4(x + 69) + 376 = x + 115 for x.", "solution_steps": ["Expand: -4x - 276 + 376 = x + 115", "Combine constants: -4x + 100 = x + 115", "Subtract x from both sides: -5x + 100 = 115", "Subtract 100 from both sides: -5x = 15", "Divide both sides by -5: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 69) + 376 = x + 115", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 69, \"c\": 376, \"e\": 115, \"x\": -3}", "seed": "4827901229876429199", "semantic_fingerprint": "sha256:2d1efba4cde32c53a9314c96116b86a080637b473bcf1773ed574ca44cd47791", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000162", "prompt": "What is -1 * (-45) * (311 + (-63 + 51))?", "solution_steps": ["Multiply: -1 * (-45) = 45", "Add: -63 + 51 = -12", "Add: 311 + (-12) = 299", "Multiply: 45 * 299 = 13455"], "final_answer": "13455", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-45) * (311 + (-63 + 51))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -45, \"c\": 311, \"d\": -63, \"e\": 51}", "seed": "14481429018043323380", "semantic_fingerprint": "sha256:e4a382e0e8ba30d9018f91a40792ce56466c2e4f9090024348a430d9d7adcbd5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000163", "prompt": "Find x: -2(x - 9) + 150 = 5(x + 56)", "solution_steps": ["Expand: -2x + 18 + 150 = 5(x + 56)", "Expand: -2x + 18 + 150 = 5x + 280", "Combine constants: -2x + 168 = 5x + 280", "Subtract 5x from both sides: -7x + 168 = 280", "Subtract 168 from both sides: -7x = 112", "Divide both sides by -7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 9) + 150 = 5(x + 56)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 5, \"d\": 56, \"f\": 150, \"x\": -16}", "seed": "2046875136083211512", "semantic_fingerprint": "sha256:34c207edf407bb0eedd8121f9b88f9ae2ee3e4b2fdf0647d8f13b74dc87050d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000164", "prompt": "Solve for x: 9(x + 5) + 46 = x + 59", "solution_steps": ["Expand: 9x + 45 + 46 = x + 59", "Combine constants: 9x + 91 = x + 59", "Subtract x from both sides: 8x + 91 = 59", "Subtract 91 from both sides: 8x = -32", "Divide both sides by 8: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) + 46 = x + 59", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 46, \"e\": 59, \"x\": -4}", "seed": "14020066541749786829", "semantic_fingerprint": "sha256:e2f1325892df30a59fd03752edc7e06f5fe90a19224558238a2197db771cb538", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000165", "prompt": "Solve for x: 11(x + 7) = 9(x - 9) + 134", "solution_steps": ["Expand: 11x + 77 = 9(x - 9) + 134", "Expand: 11x + 77 = 9x - 81 + 134", "Combine constants: 11x + 77 = 9x + 53", "Subtract 9x from both sides: 2x + 77 = 53", "Subtract 77 from both sides: 2x = -24", "Divide both sides by 2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 7) = 9(x - 9) + 134", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 9, \"d\": 9, \"f\": 134, \"x\": -12}", "seed": "13506058501482434822", "semantic_fingerprint": "sha256:1d5cc5b640ce98431e48935d50fcb72ecf2619d58af66df8147d257d7f19ecb3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000166", "prompt": "What is -8 - (-302) / 6 - (-63)?", "solution_steps": ["Divide: -302 / 6 = -151/3", "Subtract: -8 - (-151/3) = 127/3", "Subtract: 127/3 - (-63) = 316/3"], "final_answer": "316/3", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-302) / 6 - (-63)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -302, \"c\": 6, \"d\": -63}", "seed": "9393474635505688992", "semantic_fingerprint": "sha256:58b0ae1f90b786994ebacc8a8233542d06b5dab3c7525de76aba10255795f8d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000167", "prompt": "Calculate: 84 / (8 * (-3) - (-677 + 8 + 13))", "solution_steps": ["Multiply: 8 * (-3) = -24", "Add: -677 + 8 = -669", "Add: -669 + 13 = -656", "Subtract: -24 - (-656) = 632", "Divide: 84 / 632 = 21/158"], "final_answer": "21/158", "answer_type": "rational", "kind": "expression", "math_text": "84 / (8 * (-3) - (-677 + 8 + 13))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (* n n) (+ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 8, \"c\": -3, \"d\": -677, \"e\": 8, \"f\": 13}", "seed": "12142090359596455763", "semantic_fingerprint": "sha256:28db6f859f18b778a93b98d8a4010e806d2d3781a33bd4ae014055cc551d01b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000168", "prompt": "Solve the equation 6(x + 9) = 5(x - 8) + 109 for x.", "solution_steps": ["Expand: 6x + 54 = 5(x - 8) + 109", "Expand: 6x + 54 = 5x - 40 + 109", "Combine constants: 6x + 54 = 5x + 69", "Subtract 5x from both sides: x + 54 = 69", "Subtract 54 from both sides: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 9) = 5(x - 8) + 109", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 5, \"d\": 8, \"f\": 109, \"x\": 15}", "seed": "513635040028797421", "semantic_fingerprint": "sha256:1705ef3fd63ae76863b5c48476b9246a5b023c418ac8670ce80fd753370c6804", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000169", "prompt": "Compute: (84 / (-67) - 67) * (-95)", "solution_steps": ["Divide: 84 / (-67) = -84/67", "Subtract: -84/67 - 67 = -4573/67", "Multiply: (-4573/67) * (-95) = 434435/67"], "final_answer": "434435/67", "answer_type": "rational", "kind": "expression", "math_text": "(84 / (-67) - 67) * (-95)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -67, \"c\": 67, \"d\": -95}", "seed": "7888833652117504736", "semantic_fingerprint": "sha256:34ca351ef0ba3cf1ed06dc0ca8b0a90b6ed86d4cf7f6c16d811abed34e403a29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000170", "prompt": "Find x: 2(x + 63) - 59 = x + 53", "solution_steps": ["Expand: 2x + 126 - 59 = x + 53", "Combine constants: 2x + 67 = x + 53", "Subtract x from both sides: x + 67 = 53", "Subtract 67 from both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 63) - 59 = x + 53", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 63, \"c\": 59, \"e\": 53, \"x\": -14}", "seed": "16470445813716935034", "semantic_fingerprint": "sha256:ce7ca2ac6de04aab6102ac09de22fe4774d0ddc65b7385fd953a4884f02a56ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000171", "prompt": "What is 83 / (48 * (50 + (-3)))?", "solution_steps": ["Add: 50 + (-3) = 47", "Multiply: 48 * 47 = 2256", "Divide: 83 / 2256 = 83/2256"], "final_answer": "83/2256", "answer_type": "rational", "kind": "expression", "math_text": "83 / (48 * (50 + (-3)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 48, \"c\": 50, \"d\": -3}", "seed": "8332051549680866980", "semantic_fingerprint": "sha256:166430119c1de7c609aabbff29249467b313a2d471f64ebf4bf09aad56aeae63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000172", "prompt": "Evaluate: (0 - 789 + (-9) + 89) * (-1)", "solution_steps": ["Subtract: 0 - 789 = -789", "Add: -789 + (-9) = -798", "Add: -798 + 89 = -709", "Multiply: -709 * (-1) = 709"], "final_answer": "709", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 789 + (-9) + 89) * (-1)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 789, \"c\": -9, \"d\": 89, \"e\": -1}", "seed": "6159371418479493605", "semantic_fingerprint": "sha256:8332c93fb878bac11b9c3c9b0537fb59f500e03ecae63d26517e8f50e58eb718", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000173", "prompt": "What is -8 / (-77) * (6 / (-5))?", "solution_steps": ["Divide: -8 / (-77) = 8/77", "Divide: 6 / (-5) = -6/5", "Multiply: (8/77) * (-6/5) = -48/385"], "final_answer": "-48/385", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-77) * (6 / (-5))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -77, \"c\": 6, \"d\": -5}", "seed": "10433023593682334650", "semantic_fingerprint": "sha256:f0c37a7f9db183af220e6bdb2746f60c2441005b23cc5f4df801f756783e6c34", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000174", "prompt": "Evaluate: (157 + (-58)) / (787 * (-1) * (-2))", "solution_steps": ["Add: 157 + (-58) = 99", "Multiply: 787 * (-1) = -787", "Multiply: -787 * (-2) = 1574", "Divide: 99 / 1574 = 99/1574"], "final_answer": "99/1574", "answer_type": "rational", "kind": "expression", "math_text": "(157 + (-58)) / (787 * (-1) * (-2))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 157, \"b\": -58, \"c\": 787, \"d\": -1, \"e\": -2}", "seed": "10382191647541473402", "semantic_fingerprint": "sha256:f6de3c7322915bd6fd3d4d9c0d6f29555c90977fe72b1a4434f7fe4cff7131c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000175", "prompt": "Solve for x: 9(x + 61) = 10(x - 2) + 571", "solution_steps": ["Expand: 9x + 549 = 10(x - 2) + 571", "Expand: 9x + 549 = 10x - 20 + 571", "Combine constants: 9x + 549 = 10x + 551", "Subtract 10x from both sides: -x + 549 = 551", "Subtract 549 from both sides: -x = 2", "Divide both sides by -1: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 61) = 10(x - 2) + 571", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 61, \"c\": 10, \"d\": 2, \"f\": 571, \"x\": -2}", "seed": "11570099864483199602", "semantic_fingerprint": "sha256:581cf4bf97311f7b6823a2b7b34f346fbbd9bf7fdf396ebc90ecd84244b0644c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000176", "prompt": "What value of x satisfies 8x = 11(x + 976) - 30?", "solution_steps": ["Expand: 8x = 11x + 10736 - 30", "Combine constants: 8x = 11x + 10706", "Subtract 11x from both sides: -3x = 10706", "Divide both sides by -3: x = -10706/3"], "final_answer": "-10706/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 11(x + 976) - 30", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 11, \"c\": 976, \"d\": 30}", "seed": "11319459513010600642", "semantic_fingerprint": "sha256:db6cc3571a9be708da573ba1c8e366656bc248a8fb48420b33718f0d64ddac6f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000177", "prompt": "What is 0 + (31 - (-586 + 2))?", "solution_steps": ["Add: -586 + 2 = -584", "Subtract: 31 - (-584) = 615", "Add: 0 + 615 = 615"], "final_answer": "615", "answer_type": "integer", "kind": "expression", "math_text": "0 + (31 - (-586 + 2))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 31, \"c\": -586, \"d\": 2}", "seed": "4307642244125096856", "semantic_fingerprint": "sha256:2c7bd569e235ed24746cc0b4af18b7cb92281ba1118699dee783bfebf6d9d786", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000178", "prompt": "Solve for x: 8x = 12(x + 5) - 84", "solution_steps": ["Expand: 8x = 12x + 60 - 84", "Combine constants: 8x = 12x - 24", "Subtract 12x from both sides: -4x = -24", "Divide both sides by -4: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 12(x + 5) - 84", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 5, \"e\": -84, \"x\": 6}", "seed": "4058175753806055790", "semantic_fingerprint": "sha256:db70782f3115f6d6ed654fddbee8b6b17a7f3e8f562812f91f0b6bf524928368", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000179", "prompt": "Find x: 7(x + 16) = 4(x - 5) + 1", "solution_steps": ["Expand: 7x + 112 = 4(x - 5) + 1", "Expand: 7x + 112 = 4x - 20 + 1", "Combine constants: 7x + 112 = 4x - 19", "Subtract 4x from both sides: 3x + 112 = -19", "Subtract 112 from both sides: 3x = -131", "Divide both sides by 3: x = -131/3"], "final_answer": "-131/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 16) = 4(x - 5) + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 16, \"c\": 4, \"d\": 5, \"e\": 1}", "seed": "5795082507818681877", "semantic_fingerprint": "sha256:695ff3dc5b235f8fc1cca7c852da8d46f6be45d4717b9cf4f7f4a781927d1b00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000180", "prompt": "What value of x satisfies -10x - 702 = 6(x - 85)?", "solution_steps": ["Expand: -10x - 702 = 6x - 510", "Subtract 6x from both sides: -16x - 702 = -510", "Add 702 to both sides: -16x = 192", "Divide both sides by -16: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 702 = 6(x - 85)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": 85, \"e\": -702, \"x\": -12}", "seed": "506279599827676665", "semantic_fingerprint": "sha256:33afd915775162446b740a0bb29851c6e87b372b2223aab5b86b6683f0833ed2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000181", "prompt": "Find x: 9x - 8 = -2(x - 6)", "solution_steps": ["Expand: 9x - 8 = -2x + 12", "Add 2x to both sides: 11x - 8 = 12", "Add 8 to both sides: 11x = 20", "Divide both sides by 11: x = 20/11"], "final_answer": "20/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 8 = -2(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": -2, \"d\": 6}", "seed": "13249549472239709622", "semantic_fingerprint": "sha256:61a38243035499579c66d2adba3a7e20adc8136eeae238b304f3fa5a6e99ba09", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000182", "prompt": "Solve for x: 11(x - 168) + 45 = 12(x + 5)", "solution_steps": ["Expand: 11x - 1848 + 45 = 12(x + 5)", "Expand: 11x - 1848 + 45 = 12x + 60", "Combine constants: 11x - 1803 = 12x + 60", "Subtract 12x from both sides: -x - 1803 = 60", "Add 1803 to both sides: -x = 1863", "Divide both sides by -1: x = -1863"], "final_answer": "-1863", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 168) + 45 = 12(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 168, \"c\": 45, \"d\": 12, \"e\": 5}", "seed": "13071909964694001771", "semantic_fingerprint": "sha256:c62ec0fcb3b1f0dded75430226bbf924a7a9d13c4c1c986b4363e77464409d55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000183", "prompt": "What is (-780 + (-86)) / (793 + 0)?", "solution_steps": ["Add: -780 + (-86) = -866", "Add: 793 + 0 = 793", "Divide: -866 / 793 = -866/793"], "final_answer": "-866/793", "answer_type": "rational", "kind": "expression", "math_text": "(-780 + (-86)) / (793 + 0)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -780, \"b\": -86, \"c\": 793, \"d\": 0}", "seed": "6216852439498594005", "semantic_fingerprint": "sha256:85ef430cdbbfa884a93331726ee9ecb8dfac68dcd66a4a699f8d574f09ebca66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000184", "prompt": "Solve the equation 5(x + 7) + 73 = x + 172 for x.", "solution_steps": ["Expand: 5x + 35 + 73 = x + 172", "Combine constants: 5x + 108 = x + 172", "Subtract x from both sides: 4x + 108 = 172", "Subtract 108 from both sides: 4x = 64", "Divide both sides by 4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 7) + 73 = x + 172", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 73, \"e\": 172, \"x\": 16}", "seed": "9183463628230451188", "semantic_fingerprint": "sha256:5cf82ded0385758619baebdbadb859f7fbf6f29872533a6bdbf8c3191fd9630c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000185", "prompt": "Find x: 12x - 6 = -12x - 246", "solution_steps": ["Add 12x to both sides: 24x - 6 = -246", "Add 6 to both sides: 24x = -240", "Divide both sides by 24: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 6 = -12x - 246", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": -12, \"e\": -246, \"x\": -10}", "seed": "3247792199793220278", "semantic_fingerprint": "sha256:01f92688278633170ad7a1f31ef6b2bbabe7c6a13924316d350136a82e2b00e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000186", "prompt": "Evaluate: 55 / 27 - 4 * (0 + 418)", "solution_steps": ["Divide: 55 / 27 = 55/27", "Add: 0 + 418 = 418", "Multiply: 4 * 418 = 1672", "Subtract: 55/27 - 1672 = -45089/27"], "final_answer": "-45089/27", "answer_type": "rational", "kind": "expression", "math_text": "55 / 27 - 4 * (0 + 418)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 27, \"c\": 4, \"d\": 0, \"e\": 418}", "seed": "1772615826661130701", "semantic_fingerprint": "sha256:8bc35121142fffbe8be01e5d2e7998e550eb1b07c5b1c3d961bfd338cc14a05b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000187", "prompt": "What is -11 - 98 / (-95) - (-67)?", "solution_steps": ["Divide: 98 / (-95) = -98/95", "Subtract: -11 - (-98/95) = -947/95", "Subtract: -947/95 - (-67) = 5418/95"], "final_answer": "5418/95", "answer_type": "rational", "kind": "expression", "math_text": "-11 - 98 / (-95) - (-67)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 98, \"c\": -95, \"d\": -67}", "seed": "14011071906877043606", "semantic_fingerprint": "sha256:ef088d4c9796ce2230a3c785d8d7121bab3a1ec156dc071370c0fa931ea108c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000188", "prompt": "Solve for x: -12(x - 32) - 1 = x + 318", "solution_steps": ["Expand: -12x + 384 - 1 = x + 318", "Combine constants: -12x + 383 = x + 318", "Subtract x from both sides: -13x + 383 = 318", "Subtract 383 from both sides: -13x = -65", "Divide both sides by -13: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 32) - 1 = x + 318", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 32, \"c\": 1, \"e\": 318, \"x\": 5}", "seed": "10570333055914191666", "semantic_fingerprint": "sha256:1e9966c385468ceceb05b95b7720b6685cb9faec207cb588acd3eb705cebd353", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000189", "prompt": "What value of x satisfies 11x = -3(x + 7) + 203?", "solution_steps": ["Expand: 11x = -3x - 21 + 203", "Combine constants: 11x = -3x + 182", "Add 3x to both sides: 14x = 182", "Divide both sides by 14: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -3(x + 7) + 203", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -3, \"c\": 7, \"e\": 203, \"x\": 13}", "seed": "5836244231246757858", "semantic_fingerprint": "sha256:b764520b41634ab3fdbac5dd575488e83fe35d882d6840ab667bbf4db07c216f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000190", "prompt": "Find x: 10x - 22 = 2x - 46", "solution_steps": ["Subtract 2x from both sides: 8x - 22 = -46", "Add 22 to both sides: 8x = -24", "Divide both sides by 8: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 22 = 2x - 46", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 22, \"c\": 2, \"e\": -46, \"x\": -3}", "seed": "8355965895944588429", "semantic_fingerprint": "sha256:22da06ab905071f065370ca8792eb5911e039778d72fd4aaf3be07bc8522ad4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000191", "prompt": "Solve the equation -7x = -9(x + 733) + 2 for x.", "solution_steps": ["Expand: -7x = -9x - 6597 + 2", "Combine constants: -7x = -9x - 6595", "Add 9x to both sides: 2x = -6595", "Divide both sides by 2: x = -6595/2"], "final_answer": "-6595/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x = -9(x + 733) + 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -9, \"c\": 733, \"d\": 2}", "seed": "11721911615284947616", "semantic_fingerprint": "sha256:ae20d79a2564c4dd3f5d43623206d85dcfc8c7eac920e5601a0796e8d5b15e06", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000192", "prompt": "Evaluate: (-78 - (80 + (-804))) * 814", "solution_steps": ["Add: 80 + (-804) = -724", "Subtract: -78 - (-724) = 646", "Multiply: 646 * 814 = 525844"], "final_answer": "525844", "answer_type": "integer", "kind": "expression", "math_text": "(-78 - (80 + (-804))) * 814", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 80, \"c\": -804, \"d\": 814}", "seed": "17358616174756686215", "semantic_fingerprint": "sha256:02e503ac7ea30126dd2f550fd6a50b68de3b650a95428ed6001368d1603fbdb0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000193", "prompt": "Find x: 12x - 191 = 4x - 191", "solution_steps": ["Subtract 4x from both sides: 8x - 191 = -191", "Add 191 to both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 191 = 4x - 191", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 191, \"c\": 4, \"e\": -191, \"x\": 0}", "seed": "5863822248512171806", "semantic_fingerprint": "sha256:d3269e496cb81bcd389610aeaf7f0f3005ec90885748e551ff8d57ae91074243", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000194", "prompt": "Calculate: -7 * (8 / (96 / 5)) + (-99) + (-58)", "solution_steps": ["Divide: 96 / 5 = 96/5", "Divide: 8 / (96/5) = 5/12", "Multiply: -7 * (5/12) = -35/12", "Add: -35/12 + (-99) = -1223/12", "Add: -1223/12 + (-58) = -1919/12"], "final_answer": "-1919/12", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (8 / (96 / 5)) + (-99) + (-58)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n (/ n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 96, \"d\": 5, \"e\": -99, \"f\": -58}", "seed": "17199265631265478080", "semantic_fingerprint": "sha256:ce114a878ba3d3f6279ab88d3f4d14d997715265f7fbadf3bf1de434ab2c42d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000195", "prompt": "Compute: 35 - (-3) * (38 / 23)", "solution_steps": ["Divide: 38 / 23 = 38/23", "Multiply: -3 * (38/23) = -114/23", "Subtract: 35 - (-114/23) = 919/23"], "final_answer": "919/23", "answer_type": "rational", "kind": "expression", "math_text": "35 - (-3) * (38 / 23)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -3, \"c\": 38, \"d\": 23}", "seed": "15600120574055677994", "semantic_fingerprint": "sha256:3008d8553cdf3d3569a201d6bc21d5076b47f475312dc167d9566440cfa6cab7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000196", "prompt": "Solve the equation 8x - 868 = 12x - 804 for x.", "solution_steps": ["Subtract 12x from both sides: -4x - 868 = -804", "Add 868 to both sides: -4x = 64", "Divide both sides by -4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 868 = 12x - 804", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 868, \"c\": 12, \"e\": -804, \"x\": -16}", "seed": "16529825320588687509", "semantic_fingerprint": "sha256:74803d75a5e50b813eb2d5c4d48f53246eba1578338387b6f925f70fff404460", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000197", "prompt": "Solve for x: 6(x + 48) + 625 = x + 963", "solution_steps": ["Expand: 6x + 288 + 625 = x + 963", "Combine constants: 6x + 913 = x + 963", "Subtract x from both sides: 5x + 913 = 963", "Subtract 913 from both sides: 5x = 50", "Divide both sides by 5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 48) + 625 = x + 963", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 48, \"c\": 625, \"e\": 963, \"x\": 10}", "seed": "1484463802692912263", "semantic_fingerprint": "sha256:fe0295f808a3bdd43bf744ae94df51a284f9a1cbacadb689df0e59c295e41d4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000198", "prompt": "What is -26 * 58 / (-49 - (-914)) * (8 + (-536))?", "solution_steps": ["Multiply: -26 * 58 = -1508", "Subtract: -49 - (-914) = 865", "Divide: -1508 / 865 = -1508/865", "Add: 8 + (-536) = -528", "Multiply: (-1508/865) * (-528) = 796224/865"], "final_answer": "796224/865", "answer_type": "rational", "kind": "expression", "math_text": "-26 * 58 / (-49 - (-914)) * (8 + (-536))", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 58, \"c\": -49, \"d\": -914, \"e\": 8, \"f\": -536}", "seed": "15891280061737702288", "semantic_fingerprint": "sha256:e4ca09ea2193605322311975aa1bcbfe4cc8338001572e5761fe5fd5b7233bec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000199", "prompt": "Compute: 264 / (-4) * (-9 / 15)", "solution_steps": ["Divide: 264 / (-4) = -66", "Divide: -9 / 15 = -3/5", "Multiply: -66 * (-3/5) = 198/5"], "final_answer": "198/5", "answer_type": "rational", "kind": "expression", "math_text": "264 / (-4) * (-9 / 15)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 264, \"b\": -4, \"c\": -9, \"d\": 15}", "seed": "16632654449704207494", "semantic_fingerprint": "sha256:aca13e2e8acbd2199a092413b29766a8db7546d9ef07e69f7ce8b342bb2bd348", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000200", "prompt": "Compute: (-380 / (-77) + (-23 - 9) * 54) / (-9)", "solution_steps": ["Divide: -380 / (-77) = 380/77", "Subtract: -23 - 9 = -32", "Multiply: -32 * 54 = -1728", "Add: 380/77 + (-1728) = -132676/77", "Divide: (-132676/77) / (-9) = 132676/693"], "final_answer": "132676/693", "answer_type": "rational", "kind": "expression", "math_text": "(-380 / (-77) + (-23 - 9) * 54) / (-9)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -380, \"b\": -77, \"c\": -23, \"d\": 9, \"e\": 54, \"f\": -9}", "seed": "17359293219593793507", "semantic_fingerprint": "sha256:5c4460b3d7b2aa7e97a2af05d0af507d0ceb7328decd60f52caaeb521530e1e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000201", "prompt": "Evaluate: -811 - 0 / 1 - 4", "solution_steps": ["Divide: 0 / 1 = 0", "Subtract: -811 - 0 = -811", "Subtract: -811 - 4 = -815"], "final_answer": "-815", "answer_type": "integer", "kind": "expression", "math_text": "-811 - 0 / 1 - 4", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -811, \"b\": 0, \"c\": 1, \"d\": 4}", "seed": "10178020541580181636", "semantic_fingerprint": "sha256:62a83ba130f928469b12abaee2c9d8b2f1011d7b060ec8758f1dcc479f6a202f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000202", "prompt": "What is 79 - 63 / 9 - 9 / (4 + (-42))?", "solution_steps": ["Divide: 63 / 9 = 7", "Subtract: 79 - 7 = 72", "Add: 4 + (-42) = -38", "Divide: 9 / (-38) = -9/38", "Subtract: 72 - (-9/38) = 2745/38"], "final_answer": "2745/38", "answer_type": "rational", "kind": "expression", "math_text": "79 - 63 / 9 - 9 / (4 + (-42))", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 63, \"c\": 9, \"d\": 9, \"e\": 4, \"f\": -42}", "seed": "12518449364559077504", "semantic_fingerprint": "sha256:bbbeaecafd21da7231ce20cba8f717abf39920e02e20ec7ac4bfc443dffbb5c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000203", "prompt": "What value of x satisfies -10(x - 33) - 14 = x + 338?", "solution_steps": ["Expand: -10x + 330 - 14 = x + 338", "Combine constants: -10x + 316 = x + 338", "Subtract x from both sides: -11x + 316 = 338", "Subtract 316 from both sides: -11x = 22", "Divide both sides by -11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 33) - 14 = x + 338", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 33, \"c\": 14, \"e\": 338, \"x\": -2}", "seed": "7055735177549055117", "semantic_fingerprint": "sha256:19c113a01d0ab3c0a67f791386ab556ea685d0cf11d99e3ab70d4e8bcb958edb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000204", "prompt": "Compute: -417 / (-35 + (-23) + 568 - 27) + 1", "solution_steps": ["Add: -35 + (-23) = -58", "Add: -58 + 568 = 510", "Subtract: 510 - 27 = 483", "Divide: -417 / 483 = -139/161", "Add: -139/161 + 1 = 22/161"], "final_answer": "22/161", "answer_type": "rational", "kind": "expression", "math_text": "-417 / (-35 + (-23) + 568 - 27) + 1", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- (+ (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -417, \"b\": -35, \"c\": -23, \"d\": 568, \"e\": 27, \"f\": 1}", "seed": "6113366210114568794", "semantic_fingerprint": "sha256:92ea111b56d812edafb80c7e858519d6ef9a55edbe5e406676d218c08fd31404", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000205", "prompt": "Compute: 7 * (-512 + 9 * (-3))", "solution_steps": ["Multiply: 9 * (-3) = -27", "Add: -512 + (-27) = -539", "Multiply: 7 * (-539) = -3773"], "final_answer": "-3773", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-512 + 9 * (-3))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -512, \"c\": 9, \"d\": -3}", "seed": "3599402005243218004", "semantic_fingerprint": "sha256:21b70d220c5d6b4949bff49945356984f0cc00d386c43acd8867d7e78f5971d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000206", "prompt": "What is (51 / 1 + 528 / (-647)) / 4 - 173?", "solution_steps": ["Divide: 51 / 1 = 51", "Divide: 528 / (-647) = -528/647", "Add: 51 + (-528/647) = 32469/647", "Divide: (32469/647) / 4 = 32469/2588", "Subtract: 32469/2588 - 173 = -415255/2588"], "final_answer": "-415255/2588", "answer_type": "rational", "kind": "expression", "math_text": "(51 / 1 + 528 / (-647)) / 4 - 173", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ (/ n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 1, \"c\": 528, \"d\": -647, \"e\": 4, \"f\": 173}", "seed": "16320216205650142955", "semantic_fingerprint": "sha256:011e8f36b0a212095cb1522edee2045301fc21c235323a8c9f7125ab8de3273b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000207", "prompt": "Evaluate: 33 + 0 + (6 + (-341)) / 99 + (-23)", "solution_steps": ["Add: 33 + 0 = 33", "Add: 6 + (-341) = -335", "Divide: -335 / 99 = -335/99", "Add: 33 + (-335/99) = 2932/99", "Add: 2932/99 + (-23) = 655/99"], "final_answer": "655/99", "answer_type": "rational", "kind": "expression", "math_text": "33 + 0 + (6 + (-341)) / 99 + (-23)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (/ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 0, \"c\": 6, \"d\": -341, \"e\": 99, \"f\": -23}", "seed": "9187505435683113246", "semantic_fingerprint": "sha256:5c21352047b38f108ca70b41cd3470a79607432630c18188bb554556a9e5c40d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000208", "prompt": "Solve for x: 4(x + 8) + 881 = x + 86", "solution_steps": ["Expand: 4x + 32 + 881 = x + 86", "Combine constants: 4x + 913 = x + 86", "Subtract x from both sides: 3x + 913 = 86", "Subtract 913 from both sides: 3x = -827", "Divide both sides by 3: x = -827/3"], "final_answer": "-827/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 8) + 881 = x + 86", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 881, \"d\": 86}", "seed": "11538778030945875361", "semantic_fingerprint": "sha256:ae0f7296346dd1576435f024f2628c3d835847e0060db2863584cccb230dda90", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000209", "prompt": "What is 684 + (-479 - (-2 + (-228) * 11))?", "solution_steps": ["Multiply: -228 * 11 = -2508", "Add: -2 + (-2508) = -2510", "Subtract: -479 - (-2510) = 2031", "Add: 684 + 2031 = 2715"], "final_answer": "2715", "answer_type": "integer", "kind": "expression", "math_text": "684 + (-479 - (-2 + (-228) * 11))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 684, \"b\": -479, \"c\": -2, \"d\": -228, \"e\": 11}", "seed": "15859585968744865338", "semantic_fingerprint": "sha256:1c74195029932aee887ff300775a994cf2da8e5b469125a14ea41e75ddf9a67d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000210", "prompt": "Solve for x: 6(x + 3) + 831 = x + 784", "solution_steps": ["Expand: 6x + 18 + 831 = x + 784", "Combine constants: 6x + 849 = x + 784", "Subtract x from both sides: 5x + 849 = 784", "Subtract 849 from both sides: 5x = -65", "Divide both sides by 5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 3) + 831 = x + 784", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 831, \"e\": 784, \"x\": -13}", "seed": "9856293105526816664", "semantic_fingerprint": "sha256:d066ff0b2b669332e6b41bc2364dc91f032f1d89771960be63b5bd7a208f5469", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000211", "prompt": "Solve the equation 4(x + 82) + 862 = x + 1 for x.", "solution_steps": ["Expand: 4x + 328 + 862 = x + 1", "Combine constants: 4x + 1190 = x + 1", "Subtract x from both sides: 3x + 1190 = 1", "Subtract 1190 from both sides: 3x = -1189", "Divide both sides by 3: x = -1189/3"], "final_answer": "-1189/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 82) + 862 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 82, \"c\": 862, \"d\": 1}", "seed": "3604214144465782347", "semantic_fingerprint": "sha256:d0851256de0562e9f7bb2b5465d2a7ec99d12fbf35a9378159383c599856fd8a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000212", "prompt": "What value of x satisfies 7(x + 9) + 60 = x + 52?", "solution_steps": ["Expand: 7x + 63 + 60 = x + 52", "Combine constants: 7x + 123 = x + 52", "Subtract x from both sides: 6x + 123 = 52", "Subtract 123 from both sides: 6x = -71", "Divide both sides by 6: x = -71/6"], "final_answer": "-71/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 9) + 60 = x + 52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 60, \"d\": 52}", "seed": "14239210967719346587", "semantic_fingerprint": "sha256:39b9eab1b155e751a1cd2c10ba58680c757ac69bb646f7a91fef6cb9799df22d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000213", "prompt": "Solve the equation 7(x - 990) + 25 = 9(x + 3) for x.", "solution_steps": ["Expand: 7x - 6930 + 25 = 9(x + 3)", "Expand: 7x - 6930 + 25 = 9x + 27", "Combine constants: 7x - 6905 = 9x + 27", "Subtract 9x from both sides: -2x - 6905 = 27", "Add 6905 to both sides: -2x = 6932", "Divide both sides by -2: x = -3466"], "final_answer": "-3466", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 990) + 25 = 9(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 990, \"c\": 25, \"d\": 9, \"e\": 3}", "seed": "9679452205181776204", "semantic_fingerprint": "sha256:e9e92f253deb5b20ae782c8405917beec1c8bbffa80e056b4f70f5dc2bbac573", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000214", "prompt": "Solve for x: -7x - 154 = 7(x - 56)", "solution_steps": ["Expand: -7x - 154 = 7x - 392", "Subtract 7x from both sides: -14x - 154 = -392", "Add 154 to both sides: -14x = -238", "Divide both sides by -14: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 154 = 7(x - 56)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 56, \"e\": -154, \"x\": 17}", "seed": "6450401746593212397", "semantic_fingerprint": "sha256:add0d3146a0abd5b217c2b63d7276d3499969f024c57ace28fde7562b841697f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000215", "prompt": "Find x: 3x - 45 = 2(x - 28)", "solution_steps": ["Expand: 3x - 45 = 2x - 56", "Subtract 2x from both sides: x - 45 = -56", "Add 45 to both sides: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 45 = 2(x - 28)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 28, \"e\": -45, \"x\": -11}", "seed": "997763066433587297", "semantic_fingerprint": "sha256:184adeaf8771616b15cd779dd1d5651623b3600590dcb00b8b6fa829896b8249", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000216", "prompt": "What is (-3 - (-5)) * (-8 + (842 - 9))?", "solution_steps": ["Subtract: -3 - (-5) = 2", "Subtract: 842 - 9 = 833", "Add: -8 + 833 = 825", "Multiply: 2 * 825 = 1650"], "final_answer": "1650", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (-5)) * (-8 + (842 - 9))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -5, \"c\": -8, \"d\": 842, \"e\": 9}", "seed": "5506032393806278300", "semantic_fingerprint": "sha256:05070a9f8f55a394906d8ba1e6be40fef1c548e66f08f2b6f8735d524a3c549b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000217", "prompt": "Evaluate: 58 - (-5 + (-3 + 4)) / (-722)", "solution_steps": ["Add: -3 + 4 = 1", "Add: -5 + 1 = -4", "Divide: -4 / (-722) = 2/361", "Subtract: 58 - 2/361 = 20936/361"], "final_answer": "20936/361", "answer_type": "rational", "kind": "expression", "math_text": "58 - (-5 + (-3 + 4)) / (-722)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -5, \"c\": -3, \"d\": 4, \"e\": -722}", "seed": "16160346372424717718", "semantic_fingerprint": "sha256:d83346296b62f7cd4dc711160c89cd264dbc45290386e8b2e1d2d5389660d23a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000218", "prompt": "Evaluate: -71 + (90 - (263 - (-14)) * 2) - 33", "solution_steps": ["Subtract: 263 - (-14) = 277", "Multiply: 277 * 2 = 554", "Subtract: 90 - 554 = -464", "Add: -71 + (-464) = -535", "Subtract: -535 - 33 = -568"], "final_answer": "-568", "answer_type": "integer", "kind": "expression", "math_text": "-71 + (90 - (263 - (-14)) * 2) - 33", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- n (* (- n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 90, \"c\": 263, \"d\": -14, \"e\": 2, \"f\": 33}", "seed": "2225379228961904658", "semantic_fingerprint": "sha256:de050562437cc3c55b0e61b3cbba3d4836ebb1ecf0d2d442b521f14a5c62d60c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000219", "prompt": "What value of x satisfies 8x - 48 = -8(x - 10)?", "solution_steps": ["Expand: 8x - 48 = -8x + 80", "Add 8x to both sides: 16x - 48 = 80", "Add 48 to both sides: 16x = 128", "Divide both sides by 16: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 48 = -8(x - 10)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": 10, \"e\": -48, \"x\": 8}", "seed": "14404878808082308259", "semantic_fingerprint": "sha256:e3fc1fcfec5458c0b75432f3c91c553cbce35ea0579491fff9b74c0ec58b3877", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000220", "prompt": "Find x: -6(x - 695) - 905 = x + 2", "solution_steps": ["Expand: -6x + 4170 - 905 = x + 2", "Combine constants: -6x + 3265 = x + 2", "Subtract x from both sides: -7x + 3265 = 2", "Subtract 3265 from both sides: -7x = -3263", "Divide both sides by -7: x = 3263/7"], "final_answer": "3263/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 695) - 905 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 695, \"c\": 905, \"d\": 2}", "seed": "8256829759120434169", "semantic_fingerprint": "sha256:f5fc3b4fd3d8dd80b16bfd4ffba8dbc52d30e259e1fe0f8258b8891055e953e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000221", "prompt": "Calculate: -194 / (-985 + 6 * (-30)) + 250", "solution_steps": ["Multiply: 6 * (-30) = -180", "Add: -985 + (-180) = -1165", "Divide: -194 / (-1165) = 194/1165", "Add: 194/1165 + 250 = 291444/1165"], "final_answer": "291444/1165", "answer_type": "rational", "kind": "expression", "math_text": "-194 / (-985 + 6 * (-30)) + 250", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -194, \"b\": -985, \"c\": 6, \"d\": -30, \"e\": 250}", "seed": "4070728679197053411", "semantic_fingerprint": "sha256:399d50bd083dfa03246fa5f89a66c062ee5b91fa191822c6ec0926dfd0b535d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000222", "prompt": "Calculate: (-44 - (-8 + (-61))) * (3 * (6 * 559))", "solution_steps": ["Add: -8 + (-61) = -69", "Subtract: -44 - (-69) = 25", "Multiply: 6 * 559 = 3354", "Multiply: 3 * 3354 = 10062", "Multiply: 25 * 10062 = 251550"], "final_answer": "251550", "answer_type": "integer", "kind": "expression", "math_text": "(-44 - (-8 + (-61))) * (3 * (6 * 559))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -8, \"c\": -61, \"d\": 3, \"e\": 6, \"f\": 559}", "seed": "14221140828726669836", "semantic_fingerprint": "sha256:2f925e9252781a277ee9beeacadea9afc890a9014c8bc2e33a2582c5d8d8fcc9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000223", "prompt": "Evaluate: -70 * (-45 + 5) + (-80 + 24)", "solution_steps": ["Add: -45 + 5 = -40", "Multiply: -70 * (-40) = 2800", "Add: -80 + 24 = -56", "Add: 2800 + (-56) = 2744"], "final_answer": "2744", "answer_type": "integer", "kind": "expression", "math_text": "-70 * (-45 + 5) + (-80 + 24)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -45, \"c\": 5, \"d\": -80, \"e\": 24}", "seed": "9479295766591311583", "semantic_fingerprint": "sha256:f6e950b55e43b1acb7cc1bb794085ac667a7341750381d8840feb76d3419c61b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000224", "prompt": "Evaluate: (-48 + (-39)) / (-189 - (-2) / (-96))", "solution_steps": ["Add: -48 + (-39) = -87", "Divide: -2 / (-96) = 1/48", "Subtract: -189 - 1/48 = -9073/48", "Divide: -87 / (-9073/48) = 4176/9073"], "final_answer": "4176/9073", "answer_type": "rational", "kind": "expression", "math_text": "(-48 + (-39)) / (-189 - (-2) / (-96))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -39, \"c\": -189, \"d\": -2, \"e\": -96}", "seed": "15784352296621401167", "semantic_fingerprint": "sha256:e313d9463234763e96d68e527eedcef02a1596f96b5e68a6fbc6276343961556", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000225", "prompt": "Calculate: 845 / 95 / (-33) - 426", "solution_steps": ["Divide: 845 / 95 = 169/19", "Divide: (169/19) / (-33) = -169/627", "Subtract: -169/627 - 426 = -267271/627"], "final_answer": "-267271/627", "answer_type": "rational", "kind": "expression", "math_text": "845 / 95 / (-33) - 426", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 845, \"b\": 95, \"c\": -33, \"d\": 426}", "seed": "12716342233753565080", "semantic_fingerprint": "sha256:19fcbcd393c1138bd60fb8b7ff18ed866c74574e7ddaf0804f0c6d27a5b065ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000226", "prompt": "What is (8 + 7) * 675 / (-4 / (-6)) - (-302)?", "solution_steps": ["Add: 8 + 7 = 15", "Multiply: 15 * 675 = 10125", "Divide: -4 / (-6) = 2/3", "Divide: 10125 / (2/3) = 30375/2", "Subtract: 30375/2 - (-302) = 30979/2"], "final_answer": "30979/2", "answer_type": "rational", "kind": "expression", "math_text": "(8 + 7) * 675 / (-4 / (-6)) - (-302)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* (+ n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 675, \"d\": -4, \"e\": -6, \"f\": -302}", "seed": "10503875766801789407", "semantic_fingerprint": "sha256:8948380017535ff7ec8cb316e68c5dc42cceba55dbe38674a6b51996d06a610e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000227", "prompt": "What is 529 / 666 + 108 - (-2) * 39?", "solution_steps": ["Divide: 529 / 666 = 529/666", "Add: 529/666 + 108 = 72457/666", "Multiply: -2 * 39 = -78", "Subtract: 72457/666 - (-78) = 124405/666"], "final_answer": "124405/666", "answer_type": "rational", "kind": "expression", "math_text": "529 / 666 + 108 - (-2) * 39", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 529, \"b\": 666, \"c\": 108, \"d\": -2, \"e\": 39}", "seed": "12580968095177096701", "semantic_fingerprint": "sha256:28acd551fe93e56f9b9ab9cb56155ce4e82e4e8a693d0339ec740c4bc7dad721", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000228", "prompt": "Solve the equation -12x - 228 = -5x - 93 for x.", "solution_steps": ["Add 5x to both sides: -7x - 228 = -93", "Add 228 to both sides: -7x = 135", "Divide both sides by -7: x = -135/7"], "final_answer": "-135/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 228 = -5x - 93", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 228, \"c\": -5, \"d\": 93}", "seed": "3375346153569049587", "semantic_fingerprint": "sha256:4afac5bc8318ca72084a815c4842d2cfd8cd4b0cf555dd521d78787ff7bc088e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000229", "prompt": "Compute: -970 - (95 + (98 + 22 + (-3)))", "solution_steps": ["Add: 98 + 22 = 120", "Add: 120 + (-3) = 117", "Add: 95 + 117 = 212", "Subtract: -970 - 212 = -1182"], "final_answer": "-1182", "answer_type": "integer", "kind": "expression", "math_text": "-970 - (95 + (98 + 22 + (-3)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -970, \"b\": 95, \"c\": 98, \"d\": 22, \"e\": -3}", "seed": "3319717066663950222", "semantic_fingerprint": "sha256:2023d96ade44b4440a4598dc39358f737926f4bc1f71b1eefa7724da6b264b21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000230", "prompt": "Compute: -51 - 51 * (442 + (-34)) - (-358 - 95)", "solution_steps": ["Add: 442 + (-34) = 408", "Multiply: 51 * 408 = 20808", "Subtract: -51 - 20808 = -20859", "Subtract: -358 - 95 = -453", "Subtract: -20859 - (-453) = -20406"], "final_answer": "-20406", "answer_type": "integer", "kind": "expression", "math_text": "-51 - 51 * (442 + (-34)) - (-358 - 95)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n (+ n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 51, \"c\": 442, \"d\": -34, \"e\": -358, \"f\": 95}", "seed": "13384836344463794817", "semantic_fingerprint": "sha256:0f5f96f04f80e10900137f9effc9a8d46973c43c411baaaca17b8171dc0b3c13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000231", "prompt": "Find x: 10(x + 77) + 53 = x + 724", "solution_steps": ["Expand: 10x + 770 + 53 = x + 724", "Combine constants: 10x + 823 = x + 724", "Subtract x from both sides: 9x + 823 = 724", "Subtract 823 from both sides: 9x = -99", "Divide both sides by 9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 77) + 53 = x + 724", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 77, \"c\": 53, \"e\": 724, \"x\": -11}", "seed": "10425810803646561277", "semantic_fingerprint": "sha256:db3ae313f52f3ec403ec34049a16abbee780e060d657675be7c34e2bb970f17e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000232", "prompt": "Find x: 2(x - 7) + 17 = -12(x + 636)", "solution_steps": ["Expand: 2x - 14 + 17 = -12(x + 636)", "Expand: 2x - 14 + 17 = -12x - 7632", "Combine constants: 2x + 3 = -12x - 7632", "Add 12x to both sides: 14x + 3 = -7632", "Subtract 3 from both sides: 14x = -7635", "Divide both sides by 14: x = -7635/14"], "final_answer": "-7635/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 7) + 17 = -12(x + 636)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 17, \"d\": -12, \"e\": 636}", "seed": "12817061422303132370", "semantic_fingerprint": "sha256:71bfc6dd572126b2f33e7909c1bf5e9656fcaea0b454d3da1160dc646f77f5b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000233", "prompt": "What is -65 * (-33 + (-7)) + (9 + (-794))?", "solution_steps": ["Add: -33 + (-7) = -40", "Multiply: -65 * (-40) = 2600", "Add: 9 + (-794) = -785", "Add: 2600 + (-785) = 1815"], "final_answer": "1815", "answer_type": "integer", "kind": "expression", "math_text": "-65 * (-33 + (-7)) + (9 + (-794))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -33, \"c\": -7, \"d\": 9, \"e\": -794}", "seed": "11436361309425025095", "semantic_fingerprint": "sha256:f30ec61ca82c5023a3f0b54b94721f2f987600f5bc133637f6539cf370058dc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000234", "prompt": "Calculate: 25 / (-87) / (-77 / 7 + (-6))", "solution_steps": ["Divide: 25 / (-87) = -25/87", "Divide: -77 / 7 = -11", "Add: -11 + (-6) = -17", "Divide: (-25/87) / (-17) = 25/1479"], "final_answer": "25/1479", "answer_type": "rational", "kind": "expression", "math_text": "25 / (-87) / (-77 / 7 + (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -87, \"c\": -77, \"d\": 7, \"e\": -6}", "seed": "9549541436363968118", "semantic_fingerprint": "sha256:d358f16c874aef409e857b0432cc5e7d6802a79c6e5c13e1cfe4dc678f032aae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000235", "prompt": "Find x: 9x - 17 = 4x - 77", "solution_steps": ["Subtract 4x from both sides: 5x - 17 = -77", "Add 17 to both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 17 = 4x - 77", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 17, \"c\": 4, \"e\": -77, \"x\": -12}", "seed": "5897429430267499225", "semantic_fingerprint": "sha256:f9098dab7fec1479f8c2db810565d38ba96d84f47f7b5dfdbbd49f20c948d4df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000236", "prompt": "Solve the equation 8(x - 7) - 4 = x + 3 for x.", "solution_steps": ["Expand: 8x - 56 - 4 = x + 3", "Combine constants: 8x - 60 = x + 3", "Subtract x from both sides: 7x - 60 = 3", "Add 60 to both sides: 7x = 63", "Divide both sides by 7: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 7) - 4 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 4, \"e\": 3, \"x\": 9}", "seed": "15876422656916199880", "semantic_fingerprint": "sha256:b2f618f6a57aa7ad41688559484a8096cc5b63fcc49923d0a41ae8810475c5f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000237", "prompt": "Compute: -45 - (-76 + 2) / (-334)", "solution_steps": ["Add: -76 + 2 = -74", "Divide: -74 / (-334) = 37/167", "Subtract: -45 - 37/167 = -7552/167"], "final_answer": "-7552/167", "answer_type": "rational", "kind": "expression", "math_text": "-45 - (-76 + 2) / (-334)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -76, \"c\": 2, \"d\": -334}", "seed": "11586357292718552499", "semantic_fingerprint": "sha256:0b22f853e6e280d524b3471f07652744a8d1a6457554fba03ba0815035940d2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000238", "prompt": "Solve for x: 8(x + 4) + 1 = x + 124", "solution_steps": ["Expand: 8x + 32 + 1 = x + 124", "Combine constants: 8x + 33 = x + 124", "Subtract x from both sides: 7x + 33 = 124", "Subtract 33 from both sides: 7x = 91", "Divide both sides by 7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 4) + 1 = x + 124", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 1, \"e\": 124, \"x\": 13}", "seed": "5864212825176905515", "semantic_fingerprint": "sha256:38fa69397493af3e3ca041979c52f30024932ce78f238487fa4790f72cc52fcd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000239", "prompt": "What is -41 / (791 + (-5) / (-8 - 0))?", "solution_steps": ["Subtract: -8 - 0 = -8", "Divide: -5 / (-8) = 5/8", "Add: 791 + 5/8 = 6333/8", "Divide: -41 / (6333/8) = -328/6333"], "final_answer": "-328/6333", "answer_type": "rational", "kind": "expression", "math_text": "-41 / (791 + (-5) / (-8 - 0))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 791, \"c\": -5, \"d\": -8, \"e\": 0}", "seed": "16233497437021789713", "semantic_fingerprint": "sha256:b2b49c9c684db10aa98136b1b272785db9fb74af53c21607182c8725b6feae63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000240", "prompt": "Calculate: (1 + (-251)) / (-217 - (-737)) + (65 - 9)", "solution_steps": ["Add: 1 + (-251) = -250", "Subtract: -217 - (-737) = 520", "Divide: -250 / 520 = -25/52", "Subtract: 65 - 9 = 56", "Add: -25/52 + 56 = 2887/52"], "final_answer": "2887/52", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (-251)) / (-217 - (-737)) + (65 - 9)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -251, \"c\": -217, \"d\": -737, \"e\": 65, \"f\": 9}", "seed": "17370118292820498678", "semantic_fingerprint": "sha256:86c2a96b2501a3122dda31c57d289fb89a859725f8c48c1025922537aa7f2869", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000241", "prompt": "Find x: 5(x + 3) = 2(x - 81) + 129", "solution_steps": ["Expand: 5x + 15 = 2(x - 81) + 129", "Expand: 5x + 15 = 2x - 162 + 129", "Combine constants: 5x + 15 = 2x - 33", "Subtract 2x from both sides: 3x + 15 = -33", "Subtract 15 from both sides: 3x = -48", "Divide both sides by 3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) = 2(x - 81) + 129", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 2, \"d\": 81, \"f\": 129, \"x\": -16}", "seed": "7684189376403127102", "semantic_fingerprint": "sha256:d8ce0f9e868ba06f3316719b2f25f3b891630037bd0e96cb2a54220dcafdb84d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000242", "prompt": "Find x: -3(x - 93) - 84 = x + 175", "solution_steps": ["Expand: -3x + 279 - 84 = x + 175", "Combine constants: -3x + 195 = x + 175", "Subtract x from both sides: -4x + 195 = 175", "Subtract 195 from both sides: -4x = -20", "Divide both sides by -4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 93) - 84 = x + 175", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 93, \"c\": 84, \"e\": 175, \"x\": 5}", "seed": "11691270080005657949", "semantic_fingerprint": "sha256:a6d206566ce8db83ae6a8825cd35374e71414688899590483718f001c2fb6df1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000243", "prompt": "Calculate: (4 * (-2) - (-385)) * (-3 * 1)", "solution_steps": ["Multiply: 4 * (-2) = -8", "Subtract: -8 - (-385) = 377", "Multiply: -3 * 1 = -3", "Multiply: 377 * (-3) = -1131"], "final_answer": "-1131", "answer_type": "integer", "kind": "expression", "math_text": "(4 * (-2) - (-385)) * (-3 * 1)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": -385, \"d\": -3, \"e\": 1}", "seed": "18420884740852616379", "semantic_fingerprint": "sha256:fa67496f827397876a971ac16fcfce4e0e1625c44aad12fc57e2ddea8feddfa3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000244", "prompt": "Solve for x: -12x - 3 = 4x - 8", "solution_steps": ["Subtract 4x from both sides: -16x - 3 = -8", "Add 3 to both sides: -16x = -5", "Divide both sides by -16: x = 5/16"], "final_answer": "5/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 3 = 4x - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 4, \"d\": 8}", "seed": "1646298594960465459", "semantic_fingerprint": "sha256:759891ca9dee760b5b931c064794f34db98cae5e18140823afdd9b86d7fb69e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000245", "prompt": "Compute: -931 * (-11) - 0 / (-44 + (-610))", "solution_steps": ["Multiply: -931 * (-11) = 10241", "Add: -44 + (-610) = -654", "Divide: 0 / (-654) = 0", "Subtract: 10241 - 0 = 10241"], "final_answer": "10241", "answer_type": "integer", "kind": "expression", "math_text": "-931 * (-11) - 0 / (-44 + (-610))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -931, \"b\": -11, \"c\": 0, \"d\": -44, \"e\": -610}", "seed": "8881696428592592486", "semantic_fingerprint": "sha256:ac6a7967b54be70423e2594870874147d9bb86e4c4f991fcd3f7e0f93bca6b13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000246", "prompt": "What is -30 / (-101) * (-282 / 85)?", "solution_steps": ["Divide: -30 / (-101) = 30/101", "Divide: -282 / 85 = -282/85", "Multiply: (30/101) * (-282/85) = -1692/1717"], "final_answer": "-1692/1717", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (-101) * (-282 / 85)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -101, \"c\": -282, \"d\": 85}", "seed": "8021917315457632375", "semantic_fingerprint": "sha256:f308198d40c4db163317815b39d39b619fbe83e1ca5b1a48293bd8ddc6897b98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000247", "prompt": "Solve for x: 7x - 5 = 6x - 9", "solution_steps": ["Subtract 6x from both sides: x - 5 = -9", "Add 5 to both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 5 = 6x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 6, \"d\": 9}", "seed": "6902884955381532870", "semantic_fingerprint": "sha256:7bb6a06e6652858f776ad08b466111932048c261cd0819ba29cb4d72270f9f58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000248", "prompt": "Compute: 61 - 7 / (-42) - 6", "solution_steps": ["Divide: 7 / (-42) = -1/6", "Subtract: 61 - (-1/6) = 367/6", "Subtract: 367/6 - 6 = 331/6"], "final_answer": "331/6", "answer_type": "rational", "kind": "expression", "math_text": "61 - 7 / (-42) - 6", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 7, \"c\": -42, \"d\": 6}", "seed": "17238416056592096051", "semantic_fingerprint": "sha256:8bff969b3a21bd689438bb455a3e3af888634c1634416bb273b76f534c43caee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000249", "prompt": "Compute: 3 + (-28 - (-7) - (19 + (-526) * (-854)))", "solution_steps": ["Subtract: -28 - (-7) = -21", "Multiply: -526 * (-854) = 449204", "Add: 19 + 449204 = 449223", "Subtract: -21 - 449223 = -449244", "Add: 3 + (-449244) = -449241"], "final_answer": "-449241", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-28 - (-7) - (19 + (-526) * (-854)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- n n) (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -28, \"c\": -7, \"d\": 19, \"e\": -526, \"f\": -854}", "seed": "9505736457802962855", "semantic_fingerprint": "sha256:6e11b89c8158aac30ed519713669c852f77f3b7a1fa90582c3964f7925442c4b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000250", "prompt": "Solve the equation 7(x + 311) - 60 = x + 452 for x.", "solution_steps": ["Expand: 7x + 2177 - 60 = x + 452", "Combine constants: 7x + 2117 = x + 452", "Subtract x from both sides: 6x + 2117 = 452", "Subtract 2117 from both sides: 6x = -1665", "Divide both sides by 6: x = -555/2"], "final_answer": "-555/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 311) - 60 = x + 452", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 311, \"c\": 60, \"d\": 452}", "seed": "7663293532731154501", "semantic_fingerprint": "sha256:5ce47b660da6a01f1b8d93866e04fdcb6464509ced3806d3d7f351ab13a8a20a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000251", "prompt": "Solve the equation 7x = 12(x + 79) - 848 for x.", "solution_steps": ["Expand: 7x = 12x + 948 - 848", "Combine constants: 7x = 12x + 100", "Subtract 12x from both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 12(x + 79) - 848", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 79, \"e\": -848, \"x\": -20}", "seed": "307573581199897681", "semantic_fingerprint": "sha256:acba63335f4b4927b8d4a38fad6092905805c446141f7fe356e9e338edb2a895", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000252", "prompt": "Compute: -5 * (-834 / (90 / 3 + (-10)))", "solution_steps": ["Divide: 90 / 3 = 30", "Add: 30 + (-10) = 20", "Divide: -834 / 20 = -417/10", "Multiply: -5 * (-417/10) = 417/2"], "final_answer": "417/2", "answer_type": "rational", "kind": "expression", "math_text": "-5 * (-834 / (90 / 3 + (-10)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -834, \"c\": 90, \"d\": 3, \"e\": -10}", "seed": "4560858118257198164", "semantic_fingerprint": "sha256:c5970327f517ed43b4dccaace818ceb69a26412a84586ab9f2a3bdbdc2e693fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000253", "prompt": "Calculate: -33 + 0 - 78 * (9 * 3) + 7", "solution_steps": ["Add: -33 + 0 = -33", "Multiply: 9 * 3 = 27", "Multiply: 78 * 27 = 2106", "Subtract: -33 - 2106 = -2139", "Add: -2139 + 7 = -2132"], "final_answer": "-2132", "answer_type": "integer", "kind": "expression", "math_text": "-33 + 0 - 78 * (9 * 3) + 7", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (* n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 0, \"c\": 78, \"d\": 9, \"e\": 3, \"f\": 7}", "seed": "16108323021046574229", "semantic_fingerprint": "sha256:74a9a33cd01013e55619af5cc742d24e2b2cdbdb885d4e514813a99846bf31a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000254", "prompt": "Solve for x: 8(x - 64) + 96 = 5(x + 79)", "solution_steps": ["Expand: 8x - 512 + 96 = 5(x + 79)", "Expand: 8x - 512 + 96 = 5x + 395", "Combine constants: 8x - 416 = 5x + 395", "Subtract 5x from both sides: 3x - 416 = 395", "Add 416 to both sides: 3x = 811", "Divide both sides by 3: x = 811/3"], "final_answer": "811/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 64) + 96 = 5(x + 79)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 64, \"c\": 96, \"d\": 5, \"e\": 79}", "seed": "3151747330350842558", "semantic_fingerprint": "sha256:77b0a5f72d14d76bc76e60581b69d1a5165be8fcdebfaba00ceef6f6f7be3913", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000255", "prompt": "Evaluate: 4 + (-837 + (73 + (-96))) * (3 / 55)", "solution_steps": ["Add: 73 + (-96) = -23", "Add: -837 + (-23) = -860", "Divide: 3 / 55 = 3/55", "Multiply: -860 * (3/55) = -516/11", "Add: 4 + (-516/11) = -472/11"], "final_answer": "-472/11", "answer_type": "rational", "kind": "expression", "math_text": "4 + (-837 + (73 + (-96))) * (3 / 55)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (+ n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -837, \"c\": 73, \"d\": -96, \"e\": 3, \"f\": 55}", "seed": "8415282107951882296", "semantic_fingerprint": "sha256:3caf187cfb4f2d06036d157ba69c95d0c215742862914affe7d3a89079a62f71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000256", "prompt": "Evaluate: -851 - (-129 + (-40) + (-833 + 504)) - 47", "solution_steps": ["Add: -129 + (-40) = -169", "Add: -833 + 504 = -329", "Add: -169 + (-329) = -498", "Subtract: -851 - (-498) = -353", "Subtract: -353 - 47 = -400"], "final_answer": "-400", "answer_type": "integer", "kind": "expression", "math_text": "-851 - (-129 + (-40) + (-833 + 504)) - 47", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ (+ n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -851, \"b\": -129, \"c\": -40, \"d\": -833, \"e\": 504, \"f\": 47}", "seed": "14630720090224219012", "semantic_fingerprint": "sha256:62395208be141348c8b83369b90ec0c66c651183645f43b5b249d6fe02b05b3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000257", "prompt": "What is -6 - (-578 + (-665 + 336)) / 679?", "solution_steps": ["Add: -665 + 336 = -329", "Add: -578 + (-329) = -907", "Divide: -907 / 679 = -907/679", "Subtract: -6 - (-907/679) = -3167/679"], "final_answer": "-3167/679", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (-578 + (-665 + 336)) / 679", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -578, \"c\": -665, \"d\": 336, \"e\": 679}", "seed": "869395085528644383", "semantic_fingerprint": "sha256:d8e46a863c613186dfa5e2a6b0e19525078f0c908113bc8ee10ca62052a16124", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000258", "prompt": "What value of x satisfies 7(x + 95) = 4(x - 6) + 644?", "solution_steps": ["Expand: 7x + 665 = 4(x - 6) + 644", "Expand: 7x + 665 = 4x - 24 + 644", "Combine constants: 7x + 665 = 4x + 620", "Subtract 4x from both sides: 3x + 665 = 620", "Subtract 665 from both sides: 3x = -45", "Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 95) = 4(x - 6) + 644", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 95, \"c\": 4, \"d\": 6, \"f\": 644, \"x\": -15}", "seed": "9537302488898094740", "semantic_fingerprint": "sha256:008429446fde9471247d4b3a523d2e9a54e35255f8f89b9124853af6187c9807", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000259", "prompt": "Compute: -43 / (8 / 719) / (-80 / 40 * (-16))", "solution_steps": ["Divide: 8 / 719 = 8/719", "Divide: -43 / (8/719) = -30917/8", "Divide: -80 / 40 = -2", "Multiply: -2 * (-16) = 32", "Divide: (-30917/8) / 32 = -30917/256"], "final_answer": "-30917/256", "answer_type": "rational", "kind": "expression", "math_text": "-43 / (8 / 719) / (-80 / 40 * (-16))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (/ n n)) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 8, \"c\": 719, \"d\": -80, \"e\": 40, \"f\": -16}", "seed": "9786617959204229366", "semantic_fingerprint": "sha256:8e9d7863b968cd858000df3a16b5de97c1fb5f795ebffe6b078bef7257ad4b42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000260", "prompt": "Calculate: (-110 - (5 + (-59))) * (-662 + 36)", "solution_steps": ["Add: 5 + (-59) = -54", "Subtract: -110 - (-54) = -56", "Add: -662 + 36 = -626", "Multiply: -56 * (-626) = 35056"], "final_answer": "35056", "answer_type": "integer", "kind": "expression", "math_text": "(-110 - (5 + (-59))) * (-662 + 36)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -110, \"b\": 5, \"c\": -59, \"d\": -662, \"e\": 36}", "seed": "520773248649872304", "semantic_fingerprint": "sha256:25e74aadd4716522e93a390186c76b2a371d30225429f06034c98a5b823cdc72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000261", "prompt": "What is (-2 / (9 * (-15) * 38) - (-1)) * 20?", "solution_steps": ["Multiply: 9 * (-15) = -135", "Multiply: -135 * 38 = -5130", "Divide: -2 / (-5130) = 1/2565", "Subtract: 1/2565 - (-1) = 2566/2565", "Multiply: (2566/2565) * 20 = 10264/513"], "final_answer": "10264/513", "answer_type": "rational", "kind": "expression", "math_text": "(-2 / (9 * (-15) * 38) - (-1)) * 20", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n (* (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": -15, \"d\": 38, \"e\": -1, \"f\": 20}", "seed": "9362848627190249173", "semantic_fingerprint": "sha256:f3438ad3dda60236c6ea3c33abead13ecd70c3a04e5aee995ada6a22c57e75b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000262", "prompt": "Compute: 23 * (-40) + 33 * (-31)", "solution_steps": ["Multiply: 23 * (-40) = -920", "Multiply: 33 * (-31) = -1023", "Add: -920 + (-1023) = -1943"], "final_answer": "-1943", "answer_type": "integer", "kind": "expression", "math_text": "23 * (-40) + 33 * (-31)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -40, \"c\": 33, \"d\": -31}", "seed": "9685608457895539208", "semantic_fingerprint": "sha256:c970d2e53ca0bcaaf5e51f93fe1093460494cfe05a06ae53ca0da471c6ece07d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000263", "prompt": "What value of x satisfies 7x - 5 = -11(x - 38)?", "solution_steps": ["Expand: 7x - 5 = -11x + 418", "Add 11x to both sides: 18x - 5 = 418", "Add 5 to both sides: 18x = 423", "Divide both sides by 18: x = 47/2"], "final_answer": "47/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 5 = -11(x - 38)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": -11, \"d\": 38}", "seed": "3788236961025116498", "semantic_fingerprint": "sha256:3e73a7b6b9e35f02d9b52897d97984e48f8b9242feadcb1171d5e0127a31c0e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000264", "prompt": "Evaluate: 1 * (-32 - (-5 + 80) + 1) * (-5)", "solution_steps": ["Add: -5 + 80 = 75", "Subtract: -32 - 75 = -107", "Add: -107 + 1 = -106", "Multiply: 1 * (-106) = -106", "Multiply: -106 * (-5) = 530"], "final_answer": "530", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-32 - (-5 + 80) + 1) * (-5)", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ (- n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -32, \"c\": -5, \"d\": 80, \"e\": 1, \"f\": -5}", "seed": "14852369552701066981", "semantic_fingerprint": "sha256:81b4e58bbb13dbe6025a1085e531237d2879892e08ec6774a1b04e0dee1f3d2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000265", "prompt": "What value of x satisfies -4(x - 3) + 481 = 5(x + 52)?", "solution_steps": ["Expand: -4x + 12 + 481 = 5(x + 52)", "Expand: -4x + 12 + 481 = 5x + 260", "Combine constants: -4x + 493 = 5x + 260", "Subtract 5x from both sides: -9x + 493 = 260", "Subtract 493 from both sides: -9x = -233", "Divide both sides by -9: x = 233/9"], "final_answer": "233/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 3) + 481 = 5(x + 52)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 481, \"d\": 5, \"e\": 52}", "seed": "16013057033464665417", "semantic_fingerprint": "sha256:1de6a14e24963fedf7394928d68632df59f0dd8d744eb9103f4186ded56d4e8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000266", "prompt": "Solve for x: -5x - 8 = 8x - 21", "solution_steps": ["Subtract 8x from both sides: -13x - 8 = -21", "Add 8 to both sides: -13x = -13", "Divide both sides by -13: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 8 = 8x - 21", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": 8, \"e\": -21, \"x\": 1}", "seed": "2155866430908493936", "semantic_fingerprint": "sha256:ab12b44f61c41cd1bc46cc2419e6f01ef17ac4ebb2b73c40e5114aeb5932e46c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000267", "prompt": "What value of x satisfies -2x = 8(x + 80) - 600?", "solution_steps": ["Expand: -2x = 8x + 640 - 600", "Combine constants: -2x = 8x + 40", "Subtract 8x from both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 8(x + 80) - 600", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 80, \"e\": -600, \"x\": -4}", "seed": "11307257315958167531", "semantic_fingerprint": "sha256:6a23b3c62d71cecb7b11bd41705eed2cdb1ec1806958603fe730d731647f75d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000268", "prompt": "What is (80 + 293 + 7) * (585 - 589)?", "solution_steps": ["Add: 80 + 293 = 373", "Add: 373 + 7 = 380", "Subtract: 585 - 589 = -4", "Multiply: 380 * (-4) = -1520"], "final_answer": "-1520", "answer_type": "integer", "kind": "expression", "math_text": "(80 + 293 + 7) * (585 - 589)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 293, \"c\": 7, \"d\": 585, \"e\": 589}", "seed": "13225323432378081651", "semantic_fingerprint": "sha256:99d059b17c8a388d002b29c80c377fa46d9b54e2c5a26c658160f4ac23232301", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000269", "prompt": "Evaluate: -8 * (39 / 65) * (5 * 89)", "solution_steps": ["Divide: 39 / 65 = 3/5", "Multiply: -8 * (3/5) = -24/5", "Multiply: 5 * 89 = 445", "Multiply: (-24/5) * 445 = -2136"], "final_answer": "-2136", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (39 / 65) * (5 * 89)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 39, \"c\": 65, \"d\": 5, \"e\": 89}", "seed": "13160142349491959359", "semantic_fingerprint": "sha256:8802a3fc01cf8432faccc9ba2ca80becd7a808b9773a6432da7fefc7a0cd2b10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000270", "prompt": "Compute: (-68 / (-7) + (36 + (-733))) / (-2)", "solution_steps": ["Divide: -68 / (-7) = 68/7", "Add: 36 + (-733) = -697", "Add: 68/7 + (-697) = -4811/7", "Divide: (-4811/7) / (-2) = 4811/14"], "final_answer": "4811/14", "answer_type": "rational", "kind": "expression", "math_text": "(-68 / (-7) + (36 + (-733))) / (-2)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -7, \"c\": 36, \"d\": -733, \"e\": -2}", "seed": "7310824963454316672", "semantic_fingerprint": "sha256:262dc05d3c05feed35902d6a551aac1f417632bb7062a5d1f6f5f32127afd554", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000271", "prompt": "Compute: -6 * 82 + (-58) * 6", "solution_steps": ["Multiply: -6 * 82 = -492", "Multiply: -58 * 6 = -348", "Add: -492 + (-348) = -840"], "final_answer": "-840", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 82 + (-58) * 6", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 82, \"c\": -58, \"d\": 6}", "seed": "1493545629243347055", "semantic_fingerprint": "sha256:e68d0e525474c6131ed9f906c11756589983aecbb493e523f47535cb821c5781", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000272", "prompt": "Evaluate: 234 - (3 + (974 - (-7))) / 8", "solution_steps": ["Subtract: 974 - (-7) = 981", "Add: 3 + 981 = 984", "Divide: 984 / 8 = 123", "Subtract: 234 - 123 = 111"], "final_answer": "111", "answer_type": "integer", "kind": "expression", "math_text": "234 - (3 + (974 - (-7))) / 8", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 234, \"b\": 3, \"c\": 974, \"d\": -7, \"e\": 8}", "seed": "6903133440076413529", "semantic_fingerprint": "sha256:66d4b30fade4688a864e9324f7f1bf3c76b7c4e5fa944c5c0cbb03d88f42f5ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000273", "prompt": "Calculate: -3 / (23 - 871 - 49 + 6)", "solution_steps": ["Subtract: 23 - 871 = -848", "Subtract: -848 - 49 = -897", "Add: -897 + 6 = -891", "Divide: -3 / (-891) = 1/297"], "final_answer": "1/297", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (23 - 871 - 49 + 6)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 23, \"c\": 871, \"d\": 49, \"e\": 6}", "seed": "1981660493851125569", "semantic_fingerprint": "sha256:f774b07e5026ed4701730ec641d9688eeb2dcfce760b23d773a9fc830805e909", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000274", "prompt": "Solve the equation 8(x + 9) - 32 = x + 371 for x.", "solution_steps": ["Expand: 8x + 72 - 32 = x + 371", "Combine constants: 8x + 40 = x + 371", "Subtract x from both sides: 7x + 40 = 371", "Subtract 40 from both sides: 7x = 331", "Divide both sides by 7: x = 331/7"], "final_answer": "331/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 9) - 32 = x + 371", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 32, \"d\": 371}", "seed": "8938980146349972077", "semantic_fingerprint": "sha256:4b34b0edda277b708a6a810502456de11d7105869bd9f91fdbc6eb8fe0d9861f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000275", "prompt": "What is 69 / (1 * (3 + (-17) / (-76)))?", "solution_steps": ["Divide: -17 / (-76) = 17/76", "Add: 3 + 17/76 = 245/76", "Multiply: 1 * (245/76) = 245/76", "Divide: 69 / (245/76) = 5244/245"], "final_answer": "5244/245", "answer_type": "rational", "kind": "expression", "math_text": "69 / (1 * (3 + (-17) / (-76)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 1, \"c\": 3, \"d\": -17, \"e\": -76}", "seed": "3280113160923412888", "semantic_fingerprint": "sha256:19c1446162c520b6ef93daef11cd0c3d5041bd29d25a4ba946c0d92eb09a4c31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000276", "prompt": "What value of x satisfies 2(x - 93) + 186 = -4(x + 3)?", "solution_steps": ["Expand: 2x - 186 + 186 = -4(x + 3)", "Expand: 2x - 186 + 186 = -4x - 12", "Combine constants: 2x = -4x - 12", "Add 4x to both sides: 6x = -12", "Divide both sides by 6: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 93) + 186 = -4(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 93, \"c\": -4, \"d\": 3, \"f\": 186, \"x\": -2}", "seed": "10041983408559019346", "semantic_fingerprint": "sha256:a7c70601e8ebbf01a44558e867b3a771ec668e507da0f2cdd42c850d3c28f516", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000277", "prompt": "What is 4 + 96 - (-753 + 0 / 92)?", "solution_steps": ["Add: 4 + 96 = 100", "Divide: 0 / 92 = 0", "Add: -753 + 0 = -753", "Subtract: 100 - (-753) = 853"], "final_answer": "853", "answer_type": "integer", "kind": "expression", "math_text": "4 + 96 - (-753 + 0 / 92)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 96, \"c\": -753, \"d\": 0, \"e\": 92}", "seed": "15882943383820285156", "semantic_fingerprint": "sha256:99c1d7f49036c895a63b6446e3fbf7bb34160cd9c52f2e71f95b25a506ee78b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000278", "prompt": "Find x: -6(x - 2) + 42 = -12(x + 83)", "solution_steps": ["Expand: -6x + 12 + 42 = -12(x + 83)", "Expand: -6x + 12 + 42 = -12x - 996", "Combine constants: -6x + 54 = -12x - 996", "Add 12x to both sides: 6x + 54 = -996", "Subtract 54 from both sides: 6x = -1050", "Divide both sides by 6: x = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 2) + 42 = -12(x + 83)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 42, \"d\": -12, \"e\": 83}", "seed": "15572647963397134468", "semantic_fingerprint": "sha256:3d66550dbe30a8eca0b8c6bc1edacf497d1833b99158954824288732009c94c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000279", "prompt": "Calculate: -25 * 821 + (-39 - 738)", "solution_steps": ["Multiply: -25 * 821 = -20525", "Subtract: -39 - 738 = -777", "Add: -20525 + (-777) = -21302"], "final_answer": "-21302", "answer_type": "integer", "kind": "expression", "math_text": "-25 * 821 + (-39 - 738)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 821, \"c\": -39, \"d\": 738}", "seed": "6795355907612787626", "semantic_fingerprint": "sha256:8a8aca7a14fd95c3bf4a99c8936ad969de68cb77f70c25e6f158db8d0bb424ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000280", "prompt": "What is 3 / (-269) + (6 - (8 + (-9)))?", "solution_steps": ["Divide: 3 / (-269) = -3/269", "Add: 8 + (-9) = -1", "Subtract: 6 - (-1) = 7", "Add: -3/269 + 7 = 1880/269"], "final_answer": "1880/269", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-269) + (6 - (8 + (-9)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -269, \"c\": 6, \"d\": 8, \"e\": -9}", "seed": "9684900106711485227", "semantic_fingerprint": "sha256:c0774d488ea7bf174eb61d50609ee1ed7cf781b6fcdc3ba0723a4910cdece806", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000281", "prompt": "Find x: -7x - 37 = 4x - 235", "solution_steps": ["Subtract 4x from both sides: -11x - 37 = -235", "Add 37 to both sides: -11x = -198", "Divide both sides by -11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 37 = 4x - 235", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 37, \"c\": 4, \"e\": -235, \"x\": 18}", "seed": "8821651954002284246", "semantic_fingerprint": "sha256:eb356f095e8d0537494debfbb3c75c46c20089ce041a1b666544471ee182f999", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000282", "prompt": "Solve for x: 9(x + 7) + 86 = x + 141", "solution_steps": ["Expand: 9x + 63 + 86 = x + 141", "Combine constants: 9x + 149 = x + 141", "Subtract x from both sides: 8x + 149 = 141", "Subtract 149 from both sides: 8x = -8", "Divide both sides by 8: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 7) + 86 = x + 141", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 86, \"e\": 141, \"x\": -1}", "seed": "3522319041157920135", "semantic_fingerprint": "sha256:5992c7a1a3ab1306776be92f494cb41bf65a0e96bc29734f4457fd5a2f69f14f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000283", "prompt": "Compute: -7 / (8 + (-55 - (-94))) + (-3)", "solution_steps": ["Subtract: -55 - (-94) = 39", "Add: 8 + 39 = 47", "Divide: -7 / 47 = -7/47", "Add: -7/47 + (-3) = -148/47"], "final_answer": "-148/47", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (8 + (-55 - (-94))) + (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": -55, \"d\": -94, \"e\": -3}", "seed": "4799866688594529132", "semantic_fingerprint": "sha256:af5d4d81d59bf451dda4db4e6d45b1fcc431cb6643debecb22305fcda35a4ba9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000284", "prompt": "Evaluate: (94 - (700 + (-15))) / (-28 / (-3))", "solution_steps": ["Add: 700 + (-15) = 685", "Subtract: 94 - 685 = -591", "Divide: -28 / (-3) = 28/3", "Divide: -591 / (28/3) = -1773/28"], "final_answer": "-1773/28", "answer_type": "rational", "kind": "expression", "math_text": "(94 - (700 + (-15))) / (-28 / (-3))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 700, \"c\": -15, \"d\": -28, \"e\": -3}", "seed": "9952542492856485672", "semantic_fingerprint": "sha256:4dcbe2be165a2bfa10e21ff17b6862827120d85162b167135b3e60191108efcf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000285", "prompt": "Solve the equation 4(x + 28) - 6 = x + 46 for x.", "solution_steps": ["Expand: 4x + 112 - 6 = x + 46", "Combine constants: 4x + 106 = x + 46", "Subtract x from both sides: 3x + 106 = 46", "Subtract 106 from both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 28) - 6 = x + 46", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 28, \"c\": 6, \"e\": 46, \"x\": -20}", "seed": "2774463385951226983", "semantic_fingerprint": "sha256:9d62107ebdffecb07d40544748558a18970dd5aa04c44167108ee8606af63c87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000286", "prompt": "What value of x satisfies 12x - 12 = 5x - 14?", "solution_steps": ["Subtract 5x from both sides: 7x - 12 = -14", "Add 12 to both sides: 7x = -2", "Divide both sides by 7: x = -2/7"], "final_answer": "-2/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 12 = 5x - 14", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 12, \"c\": 5, \"d\": 14}", "seed": "15752222049093171530", "semantic_fingerprint": "sha256:6acbef9d5d242b6f8193b629622bbae2e19e109a9aa71fb5acc310945fcbb911", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000287", "prompt": "Evaluate: -66 - (78 + (-73) + (-15)) * 44", "solution_steps": ["Add: 78 + (-73) = 5", "Add: 5 + (-15) = -10", "Multiply: -10 * 44 = -440", "Subtract: -66 - (-440) = 374"], "final_answer": "374", "answer_type": "integer", "kind": "expression", "math_text": "-66 - (78 + (-73) + (-15)) * 44", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 78, \"c\": -73, \"d\": -15, \"e\": 44}", "seed": "5018662415323523792", "semantic_fingerprint": "sha256:c6fd1a30c4ea8978a5e5f2caa11480778a2a47c8b3c72da8f2e3923b4b9c3b7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000288", "prompt": "Solve for x: 2x - 82 = 8x - 40", "solution_steps": ["Subtract 8x from both sides: -6x - 82 = -40", "Add 82 to both sides: -6x = 42", "Divide both sides by -6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 82 = 8x - 40", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 82, \"c\": 8, \"e\": -40, \"x\": -7}", "seed": "8414671499154642331", "semantic_fingerprint": "sha256:6969f5a470b7256632caada0d1d8ed5383f786370c15db152ccf27530e9e758a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000289", "prompt": "What value of x satisfies -6(x + 10) + 346 = x + 244?", "solution_steps": ["Expand: -6x - 60 + 346 = x + 244", "Combine constants: -6x + 286 = x + 244", "Subtract x from both sides: -7x + 286 = 244", "Subtract 286 from both sides: -7x = -42", "Divide both sides by -7: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 10) + 346 = x + 244", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 10, \"c\": 346, \"e\": 244, \"x\": 6}", "seed": "12579051586001113915", "semantic_fingerprint": "sha256:a3c43f3524f1023ca79686b329efd6f9f3677ba0e3aad336fa8a2eba0f193949", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000290", "prompt": "Calculate: -8 * (-1 * (-3 * (-771))) / (-651)", "solution_steps": ["Multiply: -3 * (-771) = 2313", "Multiply: -1 * 2313 = -2313", "Multiply: -8 * (-2313) = 18504", "Divide: 18504 / (-651) = -6168/217"], "final_answer": "-6168/217", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-1 * (-3 * (-771))) / (-651)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -1, \"c\": -3, \"d\": -771, \"e\": -651}", "seed": "16104177390504457569", "semantic_fingerprint": "sha256:fc41539dda568614f8ebed7315639ef1d3eec4829998c707de4962772a6a4695", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000291", "prompt": "Solve for x: 10x = 12(x + 80) - 968", "solution_steps": ["Expand: 10x = 12x + 960 - 968", "Combine constants: 10x = 12x - 8", "Subtract 12x from both sides: -2x = -8", "Divide both sides by -2: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 12(x + 80) - 968", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 12, \"c\": 80, \"e\": -968, \"x\": 4}", "seed": "17414850064314761635", "semantic_fingerprint": "sha256:b408402e3eb79ce12934e89700597f309ebfd71837fdf2f373fba1f71eb3dedb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000292", "prompt": "Solve for x: 11x - 466 = 5(x - 86)", "solution_steps": ["Expand: 11x - 466 = 5x - 430", "Subtract 5x from both sides: 6x - 466 = -430", "Add 466 to both sides: 6x = 36", "Divide both sides by 6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 466 = 5(x - 86)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 86, \"e\": -466, \"x\": 6}", "seed": "3490134996867884916", "semantic_fingerprint": "sha256:5213b9b49b627a58224afc625f92fd35ac69583997658aaf53801bfb88da7bde", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000293", "prompt": "Calculate: (-23 - (-1 - (-36) - 15)) / (20 + 1)", "solution_steps": ["Subtract: -1 - (-36) = 35", "Subtract: 35 - 15 = 20", "Subtract: -23 - 20 = -43", "Add: 20 + 1 = 21", "Divide: -43 / 21 = -43/21"], "final_answer": "-43/21", "answer_type": "rational", "kind": "expression", "math_text": "(-23 - (-1 - (-36) - 15)) / (20 + 1)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -1, \"c\": -36, \"d\": 15, \"e\": 20, \"f\": 1}", "seed": "12367109052817288615", "semantic_fingerprint": "sha256:2140a4136cb73bc1709e39e3dc50f7334e181feed2436ed1659690ffe4050a45", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000294", "prompt": "Calculate: -330 * 4 + 77 * 324", "solution_steps": ["Multiply: -330 * 4 = -1320", "Multiply: 77 * 324 = 24948", "Add: -1320 + 24948 = 23628"], "final_answer": "23628", "answer_type": "integer", "kind": "expression", "math_text": "-330 * 4 + 77 * 324", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -330, \"b\": 4, \"c\": 77, \"d\": 324}", "seed": "2109815975362259752", "semantic_fingerprint": "sha256:6f1207c42715ed6ad128076d313ada228919d28b0c5cabfe52cf59d22c8a6b19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000295", "prompt": "Find x: -7(x - 6) + 457 = -4(x + 83)", "solution_steps": ["Expand: -7x + 42 + 457 = -4(x + 83)", "Expand: -7x + 42 + 457 = -4x - 332", "Combine constants: -7x + 499 = -4x - 332", "Add 4x to both sides: -3x + 499 = -332", "Subtract 499 from both sides: -3x = -831", "Divide both sides by -3: x = 277"], "final_answer": "277", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 6) + 457 = -4(x + 83)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 457, \"d\": -4, \"e\": 83}", "seed": "9519494166389527968", "semantic_fingerprint": "sha256:4c0779a77fec86071b4384c3e2a90656ff5537c7a43b6a32e98cd7266515580e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000296", "prompt": "Find x: 6(x - 84) + 152 = -8(x + 30)", "solution_steps": ["Expand: 6x - 504 + 152 = -8(x + 30)", "Expand: 6x - 504 + 152 = -8x - 240", "Combine constants: 6x - 352 = -8x - 240", "Add 8x to both sides: 14x - 352 = -240", "Add 352 to both sides: 14x = 112", "Divide both sides by 14: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 84) + 152 = -8(x + 30)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 84, \"c\": -8, \"d\": 30, \"f\": 152, \"x\": 8}", "seed": "11532804169861956078", "semantic_fingerprint": "sha256:6305d2c6d3303a5567e60f71457931b2df5647e73da14280a78e435c64247538", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000297", "prompt": "Compute: (-90 + (-8 * (-30) - (-12))) / (-6)", "solution_steps": ["Multiply: -8 * (-30) = 240", "Subtract: 240 - (-12) = 252", "Add: -90 + 252 = 162", "Divide: 162 / (-6) = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "(-90 + (-8 * (-30) - (-12))) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -8, \"c\": -30, \"d\": -12, \"e\": -6}", "seed": "1896586887512040027", "semantic_fingerprint": "sha256:82680bfb9d620c88553d463d49fc8f030d0882f3ebfbd01bd2fb39a2f3c65e29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000298", "prompt": "Compute: -30 - 59 * 9 * (8 + 989) / (-5)", "solution_steps": ["Multiply: 59 * 9 = 531", "Add: 8 + 989 = 997", "Multiply: 531 * 997 = 529407", "Divide: 529407 / (-5) = -529407/5", "Subtract: -30 - (-529407/5) = 529257/5"], "final_answer": "529257/5", "answer_type": "rational", "kind": "expression", "math_text": "-30 - 59 * 9 * (8 + 989) / (-5)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (* (* n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 59, \"c\": 9, \"d\": 8, \"e\": 989, \"f\": -5}", "seed": "6706877438755107258", "semantic_fingerprint": "sha256:f9347c9b044c4c21b1dc3d391cec0e10637ef2e00074fe457b633ef511835088", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000299", "prompt": "Calculate: (669 - (-458 + 3)) * (-883)", "solution_steps": ["Add: -458 + 3 = -455", "Subtract: 669 - (-455) = 1124", "Multiply: 1124 * (-883) = -992492"], "final_answer": "-992492", "answer_type": "integer", "kind": "expression", "math_text": "(669 - (-458 + 3)) * (-883)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 669, \"b\": -458, \"c\": 3, \"d\": -883}", "seed": "18143539168292963834", "semantic_fingerprint": "sha256:9618a192b4590427789739e251f42ea84836e68e9cd047ca5d4aa26d1b2a68f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000300", "prompt": "What value of x satisfies 12x = 5(x + 6) + 103?", "solution_steps": ["Expand: 12x = 5x + 30 + 103", "Combine constants: 12x = 5x + 133", "Subtract 5x from both sides: 7x = 133", "Divide both sides by 7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 5(x + 6) + 103", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 6, \"e\": 103, \"x\": 19}", "seed": "15238597186209701268", "semantic_fingerprint": "sha256:34b9b78e53f87f9aae51bb53d66732dddd30d543890d846921c72f3c5563fd4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000301", "prompt": "Solve the equation 11(x + 39) = -2(x - 44) + 172 for x.", "solution_steps": ["Expand: 11x + 429 = -2(x - 44) + 172", "Expand: 11x + 429 = -2x + 88 + 172", "Combine constants: 11x + 429 = -2x + 260", "Add 2x to both sides: 13x + 429 = 260", "Subtract 429 from both sides: 13x = -169", "Divide both sides by 13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 39) = -2(x - 44) + 172", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 39, \"c\": -2, \"d\": 44, \"f\": 172, \"x\": -13}", "seed": "15847736605403218964", "semantic_fingerprint": "sha256:97e9349ee084304f267b0abb6bb8ff895e1942e74f6780c86d1bec02b5c47e5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000302", "prompt": "Compute: 0 / (-9 - (4 - 683 / (-50)))", "solution_steps": ["Divide: 683 / (-50) = -683/50", "Subtract: 4 - (-683/50) = 883/50", "Subtract: -9 - 883/50 = -1333/50", "Divide: 0 / (-1333/50) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-9 - (4 - 683 / (-50)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": 4, \"d\": 683, \"e\": -50}", "seed": "2838545822654542218", "semantic_fingerprint": "sha256:88cf5ec27b40e24c56e6e1885144ca73477a7ec625cdad4e225803d5244728a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000303", "prompt": "Evaluate: (-86 + (-35)) * (0 / (-551) * (-346) + (-26))", "solution_steps": ["Add: -86 + (-35) = -121", "Divide: 0 / (-551) = 0", "Multiply: 0 * (-346) = 0", "Add: 0 + (-26) = -26", "Multiply: -121 * (-26) = 3146"], "final_answer": "3146", "answer_type": "integer", "kind": "expression", "math_text": "(-86 + (-35)) * (0 / (-551) * (-346) + (-26))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -35, \"c\": 0, \"d\": -551, \"e\": -346, \"f\": -26}", "seed": "11797349999432110903", "semantic_fingerprint": "sha256:1a59f07ce5d5039441e54c72fd8f7f002276ab7dda31f089e635164d14702a26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000304", "prompt": "Evaluate: 86 + (-6 - (-506)) + 5", "solution_steps": ["Subtract: -6 - (-506) = 500", "Add: 86 + 500 = 586", "Add: 586 + 5 = 591"], "final_answer": "591", "answer_type": "integer", "kind": "expression", "math_text": "86 + (-6 - (-506)) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -6, \"c\": -506, \"d\": 5}", "seed": "12139535501749258613", "semantic_fingerprint": "sha256:eb60aaf414643193c557758338ed7bd3d617748b104612eecd0d91f10324dd6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000305", "prompt": "What value of x satisfies 3x = 8(x + 9) - 157?", "solution_steps": ["Expand: 3x = 8x + 72 - 157", "Combine constants: 3x = 8x - 85", "Subtract 8x from both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 8(x + 9) - 157", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 9, \"e\": -157, \"x\": 17}", "seed": "872733865234891240", "semantic_fingerprint": "sha256:2ef9e1a996163b304bddb5ec3c3dc3555715935684a269297de7ea43fc0397da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000306", "prompt": "Solve the equation 12x - 501 = 7x - 7 for x.", "solution_steps": ["Subtract 7x from both sides: 5x - 501 = -7", "Add 501 to both sides: 5x = 494", "Divide both sides by 5: x = 494/5"], "final_answer": "494/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 501 = 7x - 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 501, \"c\": 7, \"d\": 7}", "seed": "11414802699628798548", "semantic_fingerprint": "sha256:fbcf9db3757a57b837bdd6b2e68f2996fafa3d6744b96678241e93a88887991a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000307", "prompt": "Solve the equation 4x - 2 = -10x - 212 for x.", "solution_steps": ["Add 10x to both sides: 14x - 2 = -212", "Add 2 to both sides: 14x = -210", "Divide both sides by 14: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 2 = -10x - 212", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": -10, \"e\": -212, \"x\": -15}", "seed": "12477611706372982478", "semantic_fingerprint": "sha256:a1d2e931d66ecaa885a02a3cd66e75a47ddfc3ba4093761c85c25095884e53c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000308", "prompt": "What is 538 - (-36) * (-604) + 67 * 9?", "solution_steps": ["Multiply: -36 * (-604) = 21744", "Subtract: 538 - 21744 = -21206", "Multiply: 67 * 9 = 603", "Add: -21206 + 603 = -20603"], "final_answer": "-20603", "answer_type": "integer", "kind": "expression", "math_text": "538 - (-36) * (-604) + 67 * 9", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 538, \"b\": -36, \"c\": -604, \"d\": 67, \"e\": 9}", "seed": "15702122170138508501", "semantic_fingerprint": "sha256:e47af710c9199c7b9f6d3a89c09bee9a1920ebf49408f3e5f8c9e62b4fc3122e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000309", "prompt": "Calculate: (-15 - 0 - 12) * 51", "solution_steps": ["Subtract: -15 - 0 = -15", "Subtract: -15 - 12 = -27", "Multiply: -27 * 51 = -1377"], "final_answer": "-1377", "answer_type": "integer", "kind": "expression", "math_text": "(-15 - 0 - 12) * 51", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 0, \"c\": 12, \"d\": 51}", "seed": "10842472676755439552", "semantic_fingerprint": "sha256:9909a979c2192cb76525c4df7fe2095c9e2463f9ccf483dc337bf527598fb790", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000310", "prompt": "Evaluate: (63 - 81 / (-41)) * (-3 / 34)", "solution_steps": ["Divide: 81 / (-41) = -81/41", "Subtract: 63 - (-81/41) = 2664/41", "Divide: -3 / 34 = -3/34", "Multiply: (2664/41) * (-3/34) = -3996/697"], "final_answer": "-3996/697", "answer_type": "rational", "kind": "expression", "math_text": "(63 - 81 / (-41)) * (-3 / 34)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 81, \"c\": -41, \"d\": -3, \"e\": 34}", "seed": "3053838576953757424", "semantic_fingerprint": "sha256:2ba9f1258b0b0a47566bccd352e5d64241050dc26e6dcb1c8b40087c33c5271d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000311", "prompt": "Evaluate: -90 * 33 + (-348) * 70", "solution_steps": ["Multiply: -90 * 33 = -2970", "Multiply: -348 * 70 = -24360", "Add: -2970 + (-24360) = -27330"], "final_answer": "-27330", "answer_type": "integer", "kind": "expression", "math_text": "-90 * 33 + (-348) * 70", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 33, \"c\": -348, \"d\": 70}", "seed": "12576679980124774829", "semantic_fingerprint": "sha256:3d76e9dc510db07f02fc01a854a2a84ad383746d19ccd6539a77ad65595c5622", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000312", "prompt": "Calculate: (3 + 477 - 0 + (-976) - (-2)) / 2", "solution_steps": ["Add: 3 + 477 = 480", "Subtract: 480 - 0 = 480", "Add: 480 + (-976) = -496", "Subtract: -496 - (-2) = -494", "Divide: -494 / 2 = -247"], "final_answer": "-247", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 477 - 0 + (-976) - (-2)) / 2", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ (- (+ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 477, \"c\": 0, \"d\": -976, \"e\": -2, \"f\": 2}", "seed": "17173468926749744550", "semantic_fingerprint": "sha256:490b552083eb1f5dae4c3a0a9355bbfe4a90600366d8fe84fd9803a0f368ce53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000313", "prompt": "What is -195 * (5 * 110) + 260?", "solution_steps": ["Multiply: 5 * 110 = 550", "Multiply: -195 * 550 = -107250", "Add: -107250 + 260 = -106990"], "final_answer": "-106990", "answer_type": "integer", "kind": "expression", "math_text": "-195 * (5 * 110) + 260", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -195, \"b\": 5, \"c\": 110, \"d\": 260}", "seed": "17106898018685750460", "semantic_fingerprint": "sha256:1ae6bd60de632a45b6531a27cb462c0d1a671350089f8dcb61708c23afb29100", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000314", "prompt": "Calculate: (-77 - 8 * (-72)) / (-607)", "solution_steps": ["Multiply: 8 * (-72) = -576", "Subtract: -77 - (-576) = 499", "Divide: 499 / (-607) = -499/607"], "final_answer": "-499/607", "answer_type": "rational", "kind": "expression", "math_text": "(-77 - 8 * (-72)) / (-607)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 8, \"c\": -72, \"d\": -607}", "seed": "15673152679494045474", "semantic_fingerprint": "sha256:13b65b785c9444aef78a582fd8317c9f0d09038f05faa89d27f3833d5403ccc6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000315", "prompt": "Compute: 437 / 57 / (68 / (-92 + (-7)))", "solution_steps": ["Divide: 437 / 57 = 23/3", "Add: -92 + (-7) = -99", "Divide: 68 / (-99) = -68/99", "Divide: (23/3) / (-68/99) = -759/68"], "final_answer": "-759/68", "answer_type": "rational", "kind": "expression", "math_text": "437 / 57 / (68 / (-92 + (-7)))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 437, \"b\": 57, \"c\": 68, \"d\": -92, \"e\": -7}", "seed": "12871810345016914150", "semantic_fingerprint": "sha256:9dfefffd8d9212e9b56eebb08c5ce3529bfc8dc8f3a4cd9fc77466891646a8cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000316", "prompt": "Find x: 6(x + 82) + 4 = x + 4", "solution_steps": ["Expand: 6x + 492 + 4 = x + 4", "Combine constants: 6x + 496 = x + 4", "Subtract x from both sides: 5x + 496 = 4", "Subtract 496 from both sides: 5x = -492", "Divide both sides by 5: x = -492/5"], "final_answer": "-492/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 82) + 4 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 82, \"c\": 4, \"d\": 4}", "seed": "13896885113977176952", "semantic_fingerprint": "sha256:cb0bb5f643ccfebaa06dca529790557a2773fcd6ddb895e97b108ee4790728a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000317", "prompt": "What is (317 - (-13 + 9)) * (-22)?", "solution_steps": ["Add: -13 + 9 = -4", "Subtract: 317 - (-4) = 321", "Multiply: 321 * (-22) = -7062"], "final_answer": "-7062", "answer_type": "integer", "kind": "expression", "math_text": "(317 - (-13 + 9)) * (-22)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 317, \"b\": -13, \"c\": 9, \"d\": -22}", "seed": "17073907730715510979", "semantic_fingerprint": "sha256:66242d586250cf0c0acfb80b7d53f9063577d90f80cfd7d25d328abd93d98ef6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000318", "prompt": "Evaluate: (-281 - 660 * 652) / (-20)", "solution_steps": ["Multiply: 660 * 652 = 430320", "Subtract: -281 - 430320 = -430601", "Divide: -430601 / (-20) = 430601/20"], "final_answer": "430601/20", "answer_type": "rational", "kind": "expression", "math_text": "(-281 - 660 * 652) / (-20)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -281, \"b\": 660, \"c\": 652, \"d\": -20}", "seed": "5468839181629397649", "semantic_fingerprint": "sha256:a9046bec9211d28ec8174d00909ea5ece071008af883b3b22052847b8a325e72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000319", "prompt": "Evaluate: 0 / (60 + 82) - 63 / (-2)", "solution_steps": ["Add: 60 + 82 = 142", "Divide: 0 / 142 = 0", "Divide: 63 / (-2) = -63/2", "Subtract: 0 - (-63/2) = 63/2"], "final_answer": "63/2", "answer_type": "rational", "kind": "expression", "math_text": "0 / (60 + 82) - 63 / (-2)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 60, \"c\": 82, \"d\": 63, \"e\": -2}", "seed": "6144521114000172358", "semantic_fingerprint": "sha256:8e0719e4c7a2324f97a5a1e70badefdf24932fef902c7417a221f632e9f9b320", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000320", "prompt": "Solve for x: 3(x - 56) - 39 = x + 458", "solution_steps": ["Expand: 3x - 168 - 39 = x + 458", "Combine constants: 3x - 207 = x + 458", "Subtract x from both sides: 2x - 207 = 458", "Add 207 to both sides: 2x = 665", "Divide both sides by 2: x = 665/2"], "final_answer": "665/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 56) - 39 = x + 458", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 56, \"c\": 39, \"d\": 458}", "seed": "6725314663389983274", "semantic_fingerprint": "sha256:e816328b29ae70f15056458662d40036c37e0611589ebb6b3c6980672587a85c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000321", "prompt": "Solve for x: -8(x - 45) - 77 = x + 391", "solution_steps": ["Expand: -8x + 360 - 77 = x + 391", "Combine constants: -8x + 283 = x + 391", "Subtract x from both sides: -9x + 283 = 391", "Subtract 283 from both sides: -9x = 108", "Divide both sides by -9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 45) - 77 = x + 391", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 45, \"c\": 77, \"e\": 391, \"x\": -12}", "seed": "6011737871615846093", "semantic_fingerprint": "sha256:510df55db7a21da3b6db8be83c02dcc0c2613ed80515821be1689d1fcc71ff8d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000322", "prompt": "Compute: -2 / (771 / (-3)) + (-90)", "solution_steps": ["Divide: 771 / (-3) = -257", "Divide: -2 / (-257) = 2/257", "Add: 2/257 + (-90) = -23128/257"], "final_answer": "-23128/257", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (771 / (-3)) + (-90)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 771, \"c\": -3, \"d\": -90}", "seed": "10250383500553043899", "semantic_fingerprint": "sha256:38472cd6565a3c85ebb5881a681af278dd301c5dde6cf6d719e4bb91ee47d1d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000323", "prompt": "Compute: (6 + 9 / (-210) + 875) * 3", "solution_steps": ["Divide: 9 / (-210) = -3/70", "Add: 6 + (-3/70) = 417/70", "Add: 417/70 + 875 = 61667/70", "Multiply: (61667/70) * 3 = 185001/70"], "final_answer": "185001/70", "answer_type": "rational", "kind": "expression", "math_text": "(6 + 9 / (-210) + 875) * 3", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": -210, \"d\": 875, \"e\": 3}", "seed": "5314485731191835318", "semantic_fingerprint": "sha256:5291bd1d5b3b04b154b63e6e7438ea27d618a8b31ecae07bea4d166e5d0c5d38", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000324", "prompt": "Solve the equation 12x - 2 = 8x - 38 for x.", "solution_steps": ["Subtract 8x from both sides: 4x - 2 = -38", "Add 2 to both sides: 4x = -36", "Divide both sides by 4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 2 = 8x - 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 8, \"e\": -38, \"x\": -9}", "seed": "9382707126628345330", "semantic_fingerprint": "sha256:0dbd80fc3ed5a7a5d256ee7c5598c68b8cb719543e2a010aef4d45153b21af74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000325", "prompt": "Calculate: (-593 + 52) * (9 + (-488)) * 3", "solution_steps": ["Add: -593 + 52 = -541", "Add: 9 + (-488) = -479", "Multiply: -541 * (-479) = 259139", "Multiply: 259139 * 3 = 777417"], "final_answer": "777417", "answer_type": "integer", "kind": "expression", "math_text": "(-593 + 52) * (9 + (-488)) * 3", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -593, \"b\": 52, \"c\": 9, \"d\": -488, \"e\": 3}", "seed": "8499109948957170413", "semantic_fingerprint": "sha256:2ac7cb464d339e2540b2c25725da3721087fb0fd3e5af7835884ed543228a934", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000326", "prompt": "Calculate: -849 / (-51) + 34 - 30 * 7", "solution_steps": ["Divide: -849 / (-51) = 283/17", "Add: 283/17 + 34 = 861/17", "Multiply: 30 * 7 = 210", "Subtract: 861/17 - 210 = -2709/17"], "final_answer": "-2709/17", "answer_type": "rational", "kind": "expression", "math_text": "-849 / (-51) + 34 - 30 * 7", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -849, \"b\": -51, \"c\": 34, \"d\": 30, \"e\": 7}", "seed": "4108208205820285552", "semantic_fingerprint": "sha256:7920f7359bcce99597c20c8cf362b7d508fe5795a504952c5149c448179b7fcf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000327", "prompt": "Evaluate: (59 + (-5)) / (39 - 8 + (-858))", "solution_steps": ["Add: 59 + (-5) = 54", "Subtract: 39 - 8 = 31", "Add: 31 + (-858) = -827", "Divide: 54 / (-827) = -54/827"], "final_answer": "-54/827", "answer_type": "rational", "kind": "expression", "math_text": "(59 + (-5)) / (39 - 8 + (-858))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -5, \"c\": 39, \"d\": 8, \"e\": -858}", "seed": "8453294934189884854", "semantic_fingerprint": "sha256:0fbb343b03e2fb341da5a142da72cfe8c8a9230461a06c226187cb5d67c64620", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000328", "prompt": "Find x: 10x = 11(x + 4) - 41", "solution_steps": ["Expand: 10x = 11x + 44 - 41", "Combine constants: 10x = 11x + 3", "Subtract 11x from both sides: -x = 3", "Divide both sides by -1: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 11(x + 4) - 41", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 11, \"c\": 4, \"e\": -41, \"x\": -3}", "seed": "8297108408532497033", "semantic_fingerprint": "sha256:8aac91415008731ae0b92f12cc9639d2343396142d93d298314a40d41b0eb2ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000329", "prompt": "Solve the equation 2x - 78 = -11x - 325 for x.", "solution_steps": ["Add 11x to both sides: 13x - 78 = -325", "Add 78 to both sides: 13x = -247", "Divide both sides by 13: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 78 = -11x - 325", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 78, \"c\": -11, \"e\": -325, \"x\": -19}", "seed": "7961164001465727238", "semantic_fingerprint": "sha256:7ad5794b5c873e1ac4800c66b9b039793dcbacfe158092e6ddf38d7b024fb037", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000330", "prompt": "Compute: -72 - (-4 - 96) - (834 + (-594))", "solution_steps": ["Subtract: -4 - 96 = -100", "Subtract: -72 - (-100) = 28", "Add: 834 + (-594) = 240", "Subtract: 28 - 240 = -212"], "final_answer": "-212", "answer_type": "integer", "kind": "expression", "math_text": "-72 - (-4 - 96) - (834 + (-594))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -4, \"c\": 96, \"d\": 834, \"e\": -594}", "seed": "6084786515376354153", "semantic_fingerprint": "sha256:c7477351d15f919596738466f53c1e9fa49d4d254b1db3437f06b0ee9724a18d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000331", "prompt": "Compute: (609 + 592 / (-1)) * (12 - (-9))", "solution_steps": ["Divide: 592 / (-1) = -592", "Add: 609 + (-592) = 17", "Subtract: 12 - (-9) = 21", "Multiply: 17 * 21 = 357"], "final_answer": "357", "answer_type": "integer", "kind": "expression", "math_text": "(609 + 592 / (-1)) * (12 - (-9))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 609, \"b\": 592, \"c\": -1, \"d\": 12, \"e\": -9}", "seed": "1811745639434452953", "semantic_fingerprint": "sha256:f14121e7e0f7c499531b1c6f5ac11338e862e2efce89db12c79b23053f946fe8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000332", "prompt": "Find x: 6x - 3 = -12x - 309", "solution_steps": ["Add 12x to both sides: 18x - 3 = -309", "Add 3 to both sides: 18x = -306", "Divide both sides by 18: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 3 = -12x - 309", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": -12, \"e\": -309, \"x\": -17}", "seed": "7727248303505074717", "semantic_fingerprint": "sha256:457ee072b979bded0fdd132dab85d77df79d07926154a5bba1ec64788c282a62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000333", "prompt": "Evaluate: (-45 - 1) / ((2 * 2 + 25) / 74)", "solution_steps": ["Subtract: -45 - 1 = -46", "Multiply: 2 * 2 = 4", "Add: 4 + 25 = 29", "Divide: 29 / 74 = 29/74", "Divide: -46 / (29/74) = -3404/29"], "final_answer": "-3404/29", "answer_type": "rational", "kind": "expression", "math_text": "(-45 - 1) / ((2 * 2 + 25) / 74)", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ (+ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 1, \"c\": 2, \"d\": 2, \"e\": 25, \"f\": 74}", "seed": "15291497713857301560", "semantic_fingerprint": "sha256:86aa97e92f73bc15099dbff32be44b9553697e722973b40ddaada0d2adeb5cbd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000334", "prompt": "What value of x satisfies -5x = 7(x + 492) + 326?", "solution_steps": ["Expand: -5x = 7x + 3444 + 326", "Combine constants: -5x = 7x + 3770", "Subtract 7x from both sides: -12x = 3770", "Divide both sides by -12: x = -1885/6"], "final_answer": "-1885/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 7(x + 492) + 326", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 492, \"d\": 326}", "seed": "6848557169550786126", "semantic_fingerprint": "sha256:dce7098af990adabe0b8cd0f865fbc88cb3f9bdc32b4d8205572732f60edb239", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000335", "prompt": "What is (145 - (-82) + (-8)) / 25 * (-707) + (-7)?", "solution_steps": ["Subtract: 145 - (-82) = 227", "Add: 227 + (-8) = 219", "Divide: 219 / 25 = 219/25", "Multiply: (219/25) * (-707) = -154833/25", "Add: -154833/25 + (-7) = -155008/25"], "final_answer": "-155008/25", "answer_type": "rational", "kind": "expression", "math_text": "(145 - (-82) + (-8)) / 25 * (-707) + (-7)", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ (+ (- n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 145, \"b\": -82, \"c\": -8, \"d\": 25, \"e\": -707, \"f\": -7}", "seed": "1543800902384595387", "semantic_fingerprint": "sha256:9bf5d1ce51a7d6ff9e3d46ee8b15b8f211ba0d58ed4ec9252f3ccd1194cdf46f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000336", "prompt": "Compute: (5 + (-31) * 39) / (-13) + 0", "solution_steps": ["Multiply: -31 * 39 = -1209", "Add: 5 + (-1209) = -1204", "Divide: -1204 / (-13) = 1204/13", "Add: 1204/13 + 0 = 1204/13"], "final_answer": "1204/13", "answer_type": "rational", "kind": "expression", "math_text": "(5 + (-31) * 39) / (-13) + 0", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -31, \"c\": 39, \"d\": -13, \"e\": 0}", "seed": "13117201184196998994", "semantic_fingerprint": "sha256:79a52f1dddd03c325a816936e8c234a9b1c135dad6d2967578562b3b79bc092d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000337", "prompt": "What value of x satisfies 9(x + 21) = 12(x - 28) + 498?", "solution_steps": ["Expand: 9x + 189 = 12(x - 28) + 498", "Expand: 9x + 189 = 12x - 336 + 498", "Combine constants: 9x + 189 = 12x + 162", "Subtract 12x from both sides: -3x + 189 = 162", "Subtract 189 from both sides: -3x = -27", "Divide both sides by -3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 21) = 12(x - 28) + 498", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 21, \"c\": 12, \"d\": 28, \"f\": 498, \"x\": 9}", "seed": "10436216986343815312", "semantic_fingerprint": "sha256:8363e9b38c3a64b01986f4e1501675e6b92b5dcf624ea292277ab2b8c33fe99d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000338", "prompt": "Find x: -3x - 47 = 7x - 38", "solution_steps": ["Subtract 7x from both sides: -10x - 47 = -38", "Add 47 to both sides: -10x = 9", "Divide both sides by -10: x = -9/10"], "final_answer": "-9/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 47 = 7x - 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 47, \"c\": 7, \"d\": 38}", "seed": "324439628255872494", "semantic_fingerprint": "sha256:f4943876b14af49c7ef9f7ae66039260d0a87ff25108b855d164f63ff5a8f3c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000339", "prompt": "Evaluate: 52 - (-835) / 494 - 8", "solution_steps": ["Divide: -835 / 494 = -835/494", "Subtract: 52 - (-835/494) = 26523/494", "Subtract: 26523/494 - 8 = 22571/494"], "final_answer": "22571/494", "answer_type": "rational", "kind": "expression", "math_text": "52 - (-835) / 494 - 8", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -835, \"c\": 494, \"d\": 8}", "seed": "7394749913875003185", "semantic_fingerprint": "sha256:331e45a7762fefcccd1b5013cf82c67f376a72bde6926ac9b6b859c0874461f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000340", "prompt": "Calculate: 6 * 7 + (89 - (-3))", "solution_steps": ["Multiply: 6 * 7 = 42", "Subtract: 89 - (-3) = 92", "Add: 42 + 92 = 134"], "final_answer": "134", "answer_type": "integer", "kind": "expression", "math_text": "6 * 7 + (89 - (-3))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 89, \"d\": -3}", "seed": "11036932581490404102", "semantic_fingerprint": "sha256:b543e8c0837af0a393359d8b86a771e1451874433f9e33e2019e7dbf6e055bbb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000341", "prompt": "Find x: 2(x + 406) - 12 = x + 805", "solution_steps": ["Expand: 2x + 812 - 12 = x + 805", "Combine constants: 2x + 800 = x + 805", "Subtract x from both sides: x + 800 = 805", "Subtract 800 from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 406) - 12 = x + 805", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 406, \"c\": 12, \"e\": 805, \"x\": 5}", "seed": "14539397218122151262", "semantic_fingerprint": "sha256:20bb320ab645a45fa1a75658c92ec54aa71eee35c83a7e4fdbf8b2ad7761bc46", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000342", "prompt": "Calculate: -642 / (-91 - (-576) - 8 + (-8))", "solution_steps": ["Subtract: -91 - (-576) = 485", "Subtract: 485 - 8 = 477", "Add: 477 + (-8) = 469", "Divide: -642 / 469 = -642/469"], "final_answer": "-642/469", "answer_type": "rational", "kind": "expression", "math_text": "-642 / (-91 - (-576) - 8 + (-8))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -642, \"b\": -91, \"c\": -576, \"d\": 8, \"e\": -8}", "seed": "12365057637393753679", "semantic_fingerprint": "sha256:13e4d5916815ac79675887d96c8c9203b597470e341a53f2c608c40c40f1ea26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000343", "prompt": "Compute: (-918 - (52 + 526)) * (-1)", "solution_steps": ["Add: 52 + 526 = 578", "Subtract: -918 - 578 = -1496", "Multiply: -1496 * (-1) = 1496"], "final_answer": "1496", "answer_type": "integer", "kind": "expression", "math_text": "(-918 - (52 + 526)) * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -918, \"b\": 52, \"c\": 526, \"d\": -1}", "seed": "4361259453536532242", "semantic_fingerprint": "sha256:91bfa93648c9205eb24aa42eaa60519380ac69e51f6654099d92cd4cfb805928", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000344", "prompt": "Calculate: -894 * 9 + (68 - 92)", "solution_steps": ["Multiply: -894 * 9 = -8046", "Subtract: 68 - 92 = -24", "Add: -8046 + (-24) = -8070"], "final_answer": "-8070", "answer_type": "integer", "kind": "expression", "math_text": "-894 * 9 + (68 - 92)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -894, \"b\": 9, \"c\": 68, \"d\": 92}", "seed": "1014222227261068792", "semantic_fingerprint": "sha256:98afa66f233d3b547a181552bde9d29701aabca3987f1948b1ce533cd0960b8d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000345", "prompt": "Calculate: 7 - (-3 + (-875)) * 8 / 4", "solution_steps": ["Add: -3 + (-875) = -878", "Multiply: -878 * 8 = -7024", "Divide: -7024 / 4 = -1756", "Subtract: 7 - (-1756) = 1763"], "final_answer": "1763", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-3 + (-875)) * 8 / 4", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -3, \"c\": -875, \"d\": 8, \"e\": 4}", "seed": "9634230832295480650", "semantic_fingerprint": "sha256:3ae5f0d99c6f0f6d66b3fc85fdd3b03dd7c1894bf6a3cdfc23f90f4c2952f685", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000346", "prompt": "Calculate: -1 / (-2) * (788 / (-8))", "solution_steps": ["Divide: -1 / (-2) = 1/2", "Divide: 788 / (-8) = -197/2", "Multiply: (1/2) * (-197/2) = -197/4"], "final_answer": "-197/4", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-2) * (788 / (-8))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -2, \"c\": 788, \"d\": -8}", "seed": "5407350662187017782", "semantic_fingerprint": "sha256:4e81d591fa7ecf9caa53befc57474402a795def4bc0818b2e2c32f63ccff0ea4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000347", "prompt": "Solve the equation 8(x + 21) = 11(x - 2) + 9 for x.", "solution_steps": ["Expand: 8x + 168 = 11(x - 2) + 9", "Expand: 8x + 168 = 11x - 22 + 9", "Combine constants: 8x + 168 = 11x - 13", "Subtract 11x from both sides: -3x + 168 = -13", "Subtract 168 from both sides: -3x = -181", "Divide both sides by -3: x = 181/3"], "final_answer": "181/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 21) = 11(x - 2) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 21, \"c\": 11, \"d\": 2, \"e\": 9}", "seed": "11651930861952201287", "semantic_fingerprint": "sha256:53ebf9d11f02fa915de3752dea2a433066737c54b62e4c423fb7addeef0d60c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000348", "prompt": "Calculate: 53 * (6 + (474 - (-169))) / (-15 - 71)", "solution_steps": ["Subtract: 474 - (-169) = 643", "Add: 6 + 643 = 649", "Multiply: 53 * 649 = 34397", "Subtract: -15 - 71 = -86", "Divide: 34397 / (-86) = -34397/86"], "final_answer": "-34397/86", "answer_type": "rational", "kind": "expression", "math_text": "53 * (6 + (474 - (-169))) / (-15 - 71)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ n (- n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 6, \"c\": 474, \"d\": -169, \"e\": -15, \"f\": 71}", "seed": "12158254865104005568", "semantic_fingerprint": "sha256:9394e1f9f76868aaec391758f29a7896135fa6fab5a0d9b7e9945439c9dfe8fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000349", "prompt": "Solve the equation 3(x + 99) = -9(x - 59) + 99 for x.", "solution_steps": ["Expand: 3x + 297 = -9(x - 59) + 99", "Expand: 3x + 297 = -9x + 531 + 99", "Combine constants: 3x + 297 = -9x + 630", "Add 9x to both sides: 12x + 297 = 630", "Subtract 297 from both sides: 12x = 333", "Divide both sides by 12: x = 111/4"], "final_answer": "111/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 99) = -9(x - 59) + 99", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 99, \"c\": -9, \"d\": 59, \"e\": 99}", "seed": "1673539266217512950", "semantic_fingerprint": "sha256:2174fb26eefb68794cbc9abaad582b92698dd4a99b47807848882bacf17e066d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000350", "prompt": "Calculate: -93 * 80 + (-442) * 9", "solution_steps": ["Multiply: -93 * 80 = -7440", "Multiply: -442 * 9 = -3978", "Add: -7440 + (-3978) = -11418"], "final_answer": "-11418", "answer_type": "integer", "kind": "expression", "math_text": "-93 * 80 + (-442) * 9", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 80, \"c\": -442, \"d\": 9}", "seed": "2584342975082269461", "semantic_fingerprint": "sha256:8e6d90a8ea4061c114a4de252eaaeab2e36defa00efb00789bd00b72ac0926b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000351", "prompt": "Compute: -238 * (-95 / ((993 + 95) / 48))", "solution_steps": ["Add: 993 + 95 = 1088", "Divide: 1088 / 48 = 68/3", "Divide: -95 / (68/3) = -285/68", "Multiply: -238 * (-285/68) = 1995/2"], "final_answer": "1995/2", "answer_type": "rational", "kind": "expression", "math_text": "-238 * (-95 / ((993 + 95) / 48))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (/ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -238, \"b\": -95, \"c\": 993, \"d\": 95, \"e\": 48}", "seed": "4286527909564034346", "semantic_fingerprint": "sha256:9245c95aa85b8d175936e704e1e88150fcf8477f5dcda4a680bd72e5b4ac23ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000352", "prompt": "What is -6 * 85 * (4 / (-6 - 54))?", "solution_steps": ["Multiply: -6 * 85 = -510", "Subtract: -6 - 54 = -60", "Divide: 4 / (-60) = -1/15", "Multiply: -510 * (-1/15) = 34"], "final_answer": "34", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 85 * (4 / (-6 - 54))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 85, \"c\": 4, \"d\": -6, \"e\": 54}", "seed": "7671329700439281480", "semantic_fingerprint": "sha256:58c8c95ca261875814ef546ab36e801d657ab4b7cd2ca0b827443815da6bab8f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000353", "prompt": "Calculate: 12 * 2 / 9 * 2 / (11 + (-14))", "solution_steps": ["Multiply: 12 * 2 = 24", "Divide: 24 / 9 = 8/3", "Multiply: (8/3) * 2 = 16/3", "Add: 11 + (-14) = -3", "Divide: (16/3) / (-3) = -16/9"], "final_answer": "-16/9", "answer_type": "rational", "kind": "expression", "math_text": "12 * 2 / 9 * 2 / (11 + (-14))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ (* n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 9, \"d\": 2, \"e\": 11, \"f\": -14}", "seed": "2401851371125682365", "semantic_fingerprint": "sha256:6287258edbc34a6096f11acaf3c60a02b08cefa039904741b944a808f59f1ec9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000354", "prompt": "Calculate: -51 * 356 + (0 - 3)", "solution_steps": ["Multiply: -51 * 356 = -18156", "Subtract: 0 - 3 = -3", "Add: -18156 + (-3) = -18159"], "final_answer": "-18159", "answer_type": "integer", "kind": "expression", "math_text": "-51 * 356 + (0 - 3)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 356, \"c\": 0, \"d\": 3}", "seed": "16050898372765358734", "semantic_fingerprint": "sha256:f401070c0808b126a8a3997163b0bf919a34d189622e1b14d9176c564bc99fe0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000355", "prompt": "Find x: 7(x + 28) - 844 = x + 77", "solution_steps": ["Expand: 7x + 196 - 844 = x + 77", "Combine constants: 7x - 648 = x + 77", "Subtract x from both sides: 6x - 648 = 77", "Add 648 to both sides: 6x = 725", "Divide both sides by 6: x = 725/6"], "final_answer": "725/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 28) - 844 = x + 77", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 28, \"c\": 844, \"d\": 77}", "seed": "16172555464414652492", "semantic_fingerprint": "sha256:ed16bc8bde4357bf20af7113d9d3f4c8778ef3e180a46f68ccfbe6eb1a2b537a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000356", "prompt": "Solve for x: -9x = -8(x + 157) + 73", "solution_steps": ["Expand: -9x = -8x - 1256 + 73", "Combine constants: -9x = -8x - 1183", "Add 8x to both sides: -x = -1183", "Divide both sides by -1: x = 1183"], "final_answer": "1183", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -8(x + 157) + 73", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -8, \"c\": 157, \"d\": 73}", "seed": "1149241787977023979", "semantic_fingerprint": "sha256:b24ddfc58467e2348594c05fd4fea3f7085e9c4073430a7a8b4df702f2985371", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000357", "prompt": "What is 60 / (-9 / (-9)) / (-556) - 58?", "solution_steps": ["Divide: -9 / (-9) = 1", "Divide: 60 / 1 = 60", "Divide: 60 / (-556) = -15/139", "Subtract: -15/139 - 58 = -8077/139"], "final_answer": "-8077/139", "answer_type": "rational", "kind": "expression", "math_text": "60 / (-9 / (-9)) / (-556) - 58", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -9, \"c\": -9, \"d\": -556, \"e\": 58}", "seed": "9025676808572062594", "semantic_fingerprint": "sha256:2b7a480bffab49690879d7c036775f33e93158af74122ce2a94986f86054ebf1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000358", "prompt": "Compute: 737 - (-20 - (0 + 46 * 9))", "solution_steps": ["Multiply: 46 * 9 = 414", "Add: 0 + 414 = 414", "Subtract: -20 - 414 = -434", "Subtract: 737 - (-434) = 1171"], "final_answer": "1171", "answer_type": "integer", "kind": "expression", "math_text": "737 - (-20 - (0 + 46 * 9))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 737, \"b\": -20, \"c\": 0, \"d\": 46, \"e\": 9}", "seed": "13845995783391199524", "semantic_fingerprint": "sha256:9d4f248bfec0fb0b56151b66a6ea1e6c2fb83ca089423364d1d8c88f403ae2fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000359", "prompt": "Evaluate: -28 * 60 + (82 - 176)", "solution_steps": ["Multiply: -28 * 60 = -1680", "Subtract: 82 - 176 = -94", "Add: -1680 + (-94) = -1774"], "final_answer": "-1774", "answer_type": "integer", "kind": "expression", "math_text": "-28 * 60 + (82 - 176)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 60, \"c\": 82, \"d\": 176}", "seed": "10484673323098351312", "semantic_fingerprint": "sha256:22fb0f326058a7b45794953184f7b62ec52c254cda7f4d38af44d0e8108acf71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000360", "prompt": "Compute: 782 - (8 + 178) / (-723)", "solution_steps": ["Add: 8 + 178 = 186", "Divide: 186 / (-723) = -62/241", "Subtract: 782 - (-62/241) = 188524/241"], "final_answer": "188524/241", "answer_type": "rational", "kind": "expression", "math_text": "782 - (8 + 178) / (-723)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 782, \"b\": 8, \"c\": 178, \"d\": -723}", "seed": "15366452155953132801", "semantic_fingerprint": "sha256:2ad855027d58265d32dc13725f007abe0e429149d2923e77be9d960bb2dcb708", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000361", "prompt": "Compute: 92 * 750 - 387 - (3 + 549 * 463)", "solution_steps": ["Multiply: 92 * 750 = 69000", "Subtract: 69000 - 387 = 68613", "Multiply: 549 * 463 = 254187", "Add: 3 + 254187 = 254190", "Subtract: 68613 - 254190 = -185577"], "final_answer": "-185577", "answer_type": "integer", "kind": "expression", "math_text": "92 * 750 - 387 - (3 + 549 * 463)", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 750, \"c\": 387, \"d\": 3, \"e\": 549, \"f\": 463}", "seed": "5551712253078242090", "semantic_fingerprint": "sha256:0dfebe7cc5dd0d9eeae00a711f9bb83b41fd0e675a5e0447de1041883d3fd828", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000362", "prompt": "Calculate: -63 * 4 + 1 + (-469)", "solution_steps": ["Multiply: -63 * 4 = -252", "Add: -252 + 1 = -251", "Add: -251 + (-469) = -720"], "final_answer": "-720", "answer_type": "integer", "kind": "expression", "math_text": "-63 * 4 + 1 + (-469)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 4, \"c\": 1, \"d\": -469}", "seed": "3043656926788443149", "semantic_fingerprint": "sha256:53bde80c4e14db2e67acdf9d78ed8b03695d42730328385cb3ce88926edf7aa0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000363", "prompt": "Solve for x: 5(x - 28) + 600 = 7(x + 70)", "solution_steps": ["Expand: 5x - 140 + 600 = 7(x + 70)", "Expand: 5x - 140 + 600 = 7x + 490", "Combine constants: 5x + 460 = 7x + 490", "Subtract 7x from both sides: -2x + 460 = 490", "Subtract 460 from both sides: -2x = 30", "Divide both sides by -2: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 28) + 600 = 7(x + 70)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 28, \"c\": 7, \"d\": 70, \"f\": 600, \"x\": -15}", "seed": "17769380687230133775", "semantic_fingerprint": "sha256:d913b5ec8eebf92fb7c64d67093bb6c1090a133f73d3eb7ef1bdeaa66a9ded88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000364", "prompt": "What value of x satisfies 9(x - 28) + 337 = 2(x + 4)?", "solution_steps": ["Expand: 9x - 252 + 337 = 2(x + 4)", "Expand: 9x - 252 + 337 = 2x + 8", "Combine constants: 9x + 85 = 2x + 8", "Subtract 2x from both sides: 7x + 85 = 8", "Subtract 85 from both sides: 7x = -77", "Divide both sides by 7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 28) + 337 = 2(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 28, \"c\": 2, \"d\": 4, \"f\": 337, \"x\": -11}", "seed": "5867580988609041868", "semantic_fingerprint": "sha256:0e2bb5a437b1d88034a903f1e9b17a17a56352d068af0091dab7b670c25f1a51", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000365", "prompt": "Find x: -10x = 3(x + 819) + 997", "solution_steps": ["Expand: -10x = 3x + 2457 + 997", "Combine constants: -10x = 3x + 3454", "Subtract 3x from both sides: -13x = 3454", "Divide both sides by -13: x = -3454/13"], "final_answer": "-3454/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x = 3(x + 819) + 997", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": 819, \"d\": 997}", "seed": "3482615564160119800", "semantic_fingerprint": "sha256:069d4b519777a988e86136323a61a1a348f201e02ed8f67da03c3ad522172b36", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000366", "prompt": "Evaluate: (-72 + 29) / (144 - (-747) / (1 + 43))", "solution_steps": ["Add: -72 + 29 = -43", "Add: 1 + 43 = 44", "Divide: -747 / 44 = -747/44", "Subtract: 144 - (-747/44) = 7083/44", "Divide: -43 / (7083/44) = -1892/7083"], "final_answer": "-1892/7083", "answer_type": "rational", "kind": "expression", "math_text": "(-72 + 29) / (144 - (-747) / (1 + 43))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- n (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 29, \"c\": 144, \"d\": -747, \"e\": 1, \"f\": 43}", "seed": "14697085810839422629", "semantic_fingerprint": "sha256:bf23abc52a08ca768fe54ca8e597c7072332dfea540db9049342eb7f375ec3d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000367", "prompt": "Solve the equation -8(x + 55) = 8(x - 73) + 256 for x.", "solution_steps": ["Expand: -8x - 440 = 8(x - 73) + 256", "Expand: -8x - 440 = 8x - 584 + 256", "Combine constants: -8x - 440 = 8x - 328", "Subtract 8x from both sides: -16x - 440 = -328", "Add 440 to both sides: -16x = 112", "Divide both sides by -16: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 55) = 8(x - 73) + 256", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 55, \"c\": 8, \"d\": 73, \"f\": 256, \"x\": -7}", "seed": "2712516427743183472", "semantic_fingerprint": "sha256:50973b7d1256c08fa5debe48e444bc363cb7b30272ec1f0bec3a42e5a4eb6e7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000368", "prompt": "Evaluate: (7 - 7) * (-1) / (54 - (-605))", "solution_steps": ["Subtract: 7 - 7 = 0", "Multiply: 0 * (-1) = 0", "Subtract: 54 - (-605) = 659", "Divide: 0 / 659 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(7 - 7) * (-1) / (54 - (-605))", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": -1, \"d\": 54, \"e\": -605}", "seed": "14679054421915264835", "semantic_fingerprint": "sha256:2103d79ec902e4b37b4398943a0f4ea1d259e4841b4d85b803bea101d7808229", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000369", "prompt": "Evaluate: 4 * (-33) + (16 - (-5))", "solution_steps": ["Multiply: 4 * (-33) = -132", "Subtract: 16 - (-5) = 21", "Add: -132 + 21 = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-33) + (16 - (-5))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -33, \"c\": 16, \"d\": -5}", "seed": "5919770438137073853", "semantic_fingerprint": "sha256:edb3244a5742cb422bdd9218dab9535c8bbad44ae1f52dadbb2c56e904c03368", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000370", "prompt": "Find x: 12x - 371 = 11x - 382", "solution_steps": ["Subtract 11x from both sides: x - 371 = -382", "Add 371 to both sides: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 371 = 11x - 382", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 371, \"c\": 11, \"e\": -382, \"x\": -11}", "seed": "2416950401320333285", "semantic_fingerprint": "sha256:d3f20ca05d328e408d96bc6f7afd83707c2513294322a885833fe30f7044a704", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000371", "prompt": "Find x: 6(x - 5) + 8 = -2(x + 39)", "solution_steps": ["Expand: 6x - 30 + 8 = -2(x + 39)", "Expand: 6x - 30 + 8 = -2x - 78", "Combine constants: 6x - 22 = -2x - 78", "Add 2x to both sides: 8x - 22 = -78", "Add 22 to both sides: 8x = -56", "Divide both sides by 8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) + 8 = -2(x + 39)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": -2, \"d\": 39, \"f\": 8, \"x\": -7}", "seed": "16417902346474969513", "semantic_fingerprint": "sha256:d28eee92cb0df0689b02c545715fe82be1d40221471dab80fc3cd54846309b1c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000372", "prompt": "Calculate: -3 / (-14 / (-4) - 9) * 60", "solution_steps": ["Divide: -14 / (-4) = 7/2", "Subtract: 7/2 - 9 = -11/2", "Divide: -3 / (-11/2) = 6/11", "Multiply: (6/11) * 60 = 360/11"], "final_answer": "360/11", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-14 / (-4) - 9) * 60", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -14, \"c\": -4, \"d\": 9, \"e\": 60}", "seed": "9241217139881020027", "semantic_fingerprint": "sha256:7c54ba9bc4b015b2a17f6fadb91e3df7d92ed54a5883a49f14afb0f69265cf1a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000373", "prompt": "Find x: -3(x + 7) = 10(x - 17) + 123", "solution_steps": ["Expand: -3x - 21 = 10(x - 17) + 123", "Expand: -3x - 21 = 10x - 170 + 123", "Combine constants: -3x - 21 = 10x - 47", "Subtract 10x from both sides: -13x - 21 = -47", "Add 21 to both sides: -13x = -26", "Divide both sides by -13: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 7) = 10(x - 17) + 123", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 10, \"d\": 17, \"f\": 123, \"x\": 2}", "seed": "8550956904666482602", "semantic_fingerprint": "sha256:5ce3c79087dc7b568bdfd6ccc9f86f5cf3b563a3b9435d55c47fb494a47c4bc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000374", "prompt": "Solve for x: 7(x + 4) + 1 = x + 6", "solution_steps": ["Expand: 7x + 28 + 1 = x + 6", "Combine constants: 7x + 29 = x + 6", "Subtract x from both sides: 6x + 29 = 6", "Subtract 29 from both sides: 6x = -23", "Divide both sides by 6: x = -23/6"], "final_answer": "-23/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 4) + 1 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 1, \"d\": 6}", "seed": "10887265783855984401", "semantic_fingerprint": "sha256:780e1b33a20cb815f7b60a4440fdce5fbf73a14ac4b2e3f1333f1567a497cc6a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000375", "prompt": "Evaluate: 1 + (-43) * (-9) - 903 * (2 + 666)", "solution_steps": ["Multiply: -43 * (-9) = 387", "Add: 1 + 387 = 388", "Add: 2 + 666 = 668", "Multiply: 903 * 668 = 603204", "Subtract: 388 - 603204 = -602816"], "final_answer": "-602816", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-43) * (-9) - 903 * (2 + 666)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n n)) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -43, \"c\": -9, \"d\": 903, \"e\": 2, \"f\": 666}", "seed": "6893418158135311914", "semantic_fingerprint": "sha256:87c2163193ec02106dc46962665a468d11a9e224e8f82f57c93df2652246925c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000376", "prompt": "What value of x satisfies 3(x + 58) - 9 = x + 205?", "solution_steps": ["Expand: 3x + 174 - 9 = x + 205", "Combine constants: 3x + 165 = x + 205", "Subtract x from both sides: 2x + 165 = 205", "Subtract 165 from both sides: 2x = 40", "Divide both sides by 2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 58) - 9 = x + 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 58, \"c\": 9, \"e\": 205, \"x\": 20}", "seed": "17735748215555169507", "semantic_fingerprint": "sha256:d3d637239562b922fbd73b070352b926dedf93917aeac17fe2e32eb01475ae6b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000377", "prompt": "Calculate: 35 - (-3) * 9 + 5 * (-4)", "solution_steps": ["Multiply: -3 * 9 = -27", "Subtract: 35 - (-27) = 62", "Multiply: 5 * (-4) = -20", "Add: 62 + (-20) = 42"], "final_answer": "42", "answer_type": "integer", "kind": "expression", "math_text": "35 - (-3) * 9 + 5 * (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -3, \"c\": 9, \"d\": 5, \"e\": -4}", "seed": "3402337656243629284", "semantic_fingerprint": "sha256:41e8970c0543a23cd444dbcbd2645d61e91c591c335c3feb86dc391b2b0a90fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000378", "prompt": "Calculate: (-1 + (-575)) * 9 - (-7 - 370)", "solution_steps": ["Add: -1 + (-575) = -576", "Multiply: -576 * 9 = -5184", "Subtract: -7 - 370 = -377", "Subtract: -5184 - (-377) = -4807"], "final_answer": "-4807", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + (-575)) * 9 - (-7 - 370)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -575, \"c\": 9, \"d\": -7, \"e\": 370}", "seed": "6854777224242716210", "semantic_fingerprint": "sha256:cf06a6ad9cd24e57fa64e183e9d63232df75414c9d6f9dd2bd5e3f4391bd3316", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000379", "prompt": "Solve the equation -6(x - 39) - 15 = x + 205 for x.", "solution_steps": ["Expand: -6x + 234 - 15 = x + 205", "Combine constants: -6x + 219 = x + 205", "Subtract x from both sides: -7x + 219 = 205", "Subtract 219 from both sides: -7x = -14", "Divide both sides by -7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 39) - 15 = x + 205", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 39, \"c\": 15, \"e\": 205, \"x\": 2}", "seed": "2252804026448695635", "semantic_fingerprint": "sha256:a48b582ca732849c0273c63c79a6c76d0d93d24d715ef0db5d0a5602b63f75b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000380", "prompt": "What is (-74 + 2) * (-34 + (-7) * (-6))?", "solution_steps": ["Add: -74 + 2 = -72", "Multiply: -7 * (-6) = 42", "Add: -34 + 42 = 8", "Multiply: -72 * 8 = -576"], "final_answer": "-576", "answer_type": "integer", "kind": "expression", "math_text": "(-74 + 2) * (-34 + (-7) * (-6))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 2, \"c\": -34, \"d\": -7, \"e\": -6}", "seed": "753534070264445286", "semantic_fingerprint": "sha256:9740c0daa9a5e943f5be7d6719cd6ca1913c4b6aea89a226bc9f88c59d7b6de0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000381", "prompt": "Calculate: 24 - (-58 + (43 / 7 / (-79) - 394))", "solution_steps": ["Divide: 43 / 7 = 43/7", "Divide: (43/7) / (-79) = -43/553", "Subtract: -43/553 - 394 = -217925/553", "Add: -58 + (-217925/553) = -249999/553", "Subtract: 24 - (-249999/553) = 263271/553"], "final_answer": "263271/553", "answer_type": "rational", "kind": "expression", "math_text": "24 - (-58 + (43 / 7 / (-79) - 394))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (- (/ (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -58, \"c\": 43, \"d\": 7, \"e\": -79, \"f\": 394}", "seed": "2526090359168194235", "semantic_fingerprint": "sha256:2ab2217d3e3e161863e4fc0102327e7faebd9e9465bb1cba2884d9fcb685a332", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000382", "prompt": "Calculate: (9 + (-64) / ((0 - 5) / 304)) / (-38)", "solution_steps": ["Subtract: 0 - 5 = -5", "Divide: -5 / 304 = -5/304", "Divide: -64 / (-5/304) = 19456/5", "Add: 9 + 19456/5 = 19501/5", "Divide: (19501/5) / (-38) = -19501/190"], "final_answer": "-19501/190", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-64) / ((0 - 5) / 304)) / (-38)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (/ n (/ (- n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -64, \"c\": 0, \"d\": 5, \"e\": 304, \"f\": -38}", "seed": "369654866798407574", "semantic_fingerprint": "sha256:219afc960b950d3752250a3876d97870ca3e1f991aa960e2accdad868bbf4d4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000383", "prompt": "What is 0 + 897 - ((-23 - 51) / 4 + (-3))?", "solution_steps": ["Add: 0 + 897 = 897", "Subtract: -23 - 51 = -74", "Divide: -74 / 4 = -37/2", "Add: -37/2 + (-3) = -43/2", "Subtract: 897 - (-43/2) = 1837/2"], "final_answer": "1837/2", "answer_type": "rational", "kind": "expression", "math_text": "0 + 897 - ((-23 - 51) / 4 + (-3))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (/ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 897, \"c\": -23, \"d\": 51, \"e\": 4, \"f\": -3}", "seed": "13251577978240604850", "semantic_fingerprint": "sha256:0612697d8d56f0c37451b8eeb10d75e5852e9b8222388d99eff6ef9575c789a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000384", "prompt": "Compute: -61 * (-64) + 9 * 527", "solution_steps": ["Multiply: -61 * (-64) = 3904", "Multiply: 9 * 527 = 4743", "Add: 3904 + 4743 = 8647"], "final_answer": "8647", "answer_type": "integer", "kind": "expression", "math_text": "-61 * (-64) + 9 * 527", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -64, \"c\": 9, \"d\": 527}", "seed": "16678740381062498189", "semantic_fingerprint": "sha256:0d0537af40e52f072456a32ed95645d4bbbfa60b87a9d911695a53bbed297981", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000385", "prompt": "What is -223 * 80 / (6 - (-3) / (-4 + 6))?", "solution_steps": ["Multiply: -223 * 80 = -17840", "Add: -4 + 6 = 2", "Divide: -3 / 2 = -3/2", "Subtract: 6 - (-3/2) = 15/2", "Divide: -17840 / (15/2) = -7136/3"], "final_answer": "-7136/3", "answer_type": "rational", "kind": "expression", "math_text": "-223 * 80 / (6 - (-3) / (-4 + 6))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- n (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -223, \"b\": 80, \"c\": 6, \"d\": -3, \"e\": -4, \"f\": 6}", "seed": "5208308216437700849", "semantic_fingerprint": "sha256:05d98932e7c5497ee09e313d8e8774b013e7ab0af52407682654562cff0e5bba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000386", "prompt": "Solve the equation 3x = -3(x + 74) + 204 for x.", "solution_steps": ["Expand: 3x = -3x - 222 + 204", "Combine constants: 3x = -3x - 18", "Add 3x to both sides: 6x = -18", "Divide both sides by 6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -3(x + 74) + 204", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -3, \"c\": 74, \"e\": 204, \"x\": -3}", "seed": "9603478835941345722", "semantic_fingerprint": "sha256:9b178b9820244c7ef0b0b18f79aba509866a71eceb20cd0fad21699022b19177", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000387", "prompt": "What is -12 * (38 * 3) + 40?", "solution_steps": ["Multiply: 38 * 3 = 114", "Multiply: -12 * 114 = -1368", "Add: -1368 + 40 = -1328"], "final_answer": "-1328", "answer_type": "integer", "kind": "expression", "math_text": "-12 * (38 * 3) + 40", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 38, \"c\": 3, \"d\": 40}", "seed": "17440289529237691092", "semantic_fingerprint": "sha256:742d65cdd9645bc2f0712c1ccf61102fba6b41a62dd390916c79ce95ea835f11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000388", "prompt": "What is 9 * 69 * (7 / (-35))?", "solution_steps": ["Multiply: 9 * 69 = 621", "Divide: 7 / (-35) = -1/5", "Multiply: 621 * (-1/5) = -621/5"], "final_answer": "-621/5", "answer_type": "rational", "kind": "expression", "math_text": "9 * 69 * (7 / (-35))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 69, \"c\": 7, \"d\": -35}", "seed": "2932709910249688275", "semantic_fingerprint": "sha256:cf1dcac793148dcf0f5f2b66d44c566362e1cc5adb66b1ed94be0f2b4a3696b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000389", "prompt": "What is -81 - 53 * 74 + 821 * (-93)?", "solution_steps": ["Multiply: 53 * 74 = 3922", "Subtract: -81 - 3922 = -4003", "Multiply: 821 * (-93) = -76353", "Add: -4003 + (-76353) = -80356"], "final_answer": "-80356", "answer_type": "integer", "kind": "expression", "math_text": "-81 - 53 * 74 + 821 * (-93)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 53, \"c\": 74, \"d\": 821, \"e\": -93}", "seed": "10856735711891338132", "semantic_fingerprint": "sha256:0015ff8c74d2a14770ba7b55a1f51c73cad027046d6d40fbf670eae3789e032e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000390", "prompt": "What is 1 - (-3) + (-77 * 615 + (-4))?", "solution_steps": ["Subtract: 1 - (-3) = 4", "Multiply: -77 * 615 = -47355", "Add: -47355 + (-4) = -47359", "Add: 4 + (-47359) = -47355"], "final_answer": "-47355", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-3) + (-77 * 615 + (-4))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -3, \"c\": -77, \"d\": 615, \"e\": -4}", "seed": "15904317977671443686", "semantic_fingerprint": "sha256:219f9341dd9c9dd6f980b0339d346eddc8138c0fcbe7c33f97afb57dd04a0f46", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000391", "prompt": "What is (-4 - (-699 - 0) + 56 + 8) * 2?", "solution_steps": ["Subtract: -699 - 0 = -699", "Subtract: -4 - (-699) = 695", "Add: 695 + 56 = 751", "Add: 751 + 8 = 759", "Multiply: 759 * 2 = 1518"], "final_answer": "1518", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - (-699 - 0) + 56 + 8) * 2", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ (- n (- n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -699, \"c\": 0, \"d\": 56, \"e\": 8, \"f\": 2}", "seed": "11918762192080812295", "semantic_fingerprint": "sha256:d41ad9bf540e6ae1b9a63501a3045c70a49e2d3761e6d0c17d8842711179b6da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000392", "prompt": "What value of x satisfies 4x = -8(x + 8) - 176?", "solution_steps": ["Expand: 4x = -8x - 64 - 176", "Combine constants: 4x = -8x - 240", "Add 8x to both sides: 12x = -240", "Divide both sides by 12: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -8(x + 8) - 176", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -8, \"c\": 8, \"e\": -176, \"x\": -20}", "seed": "256540854088117829", "semantic_fingerprint": "sha256:9cc92bf08ee3f77e61d5763c024d611e4a342ad4157e908c21f4b86ade323db9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000393", "prompt": "Calculate: (577 - 64 - 50) * 72", "solution_steps": ["Subtract: 577 - 64 = 513", "Subtract: 513 - 50 = 463", "Multiply: 463 * 72 = 33336"], "final_answer": "33336", "answer_type": "integer", "kind": "expression", "math_text": "(577 - 64 - 50) * 72", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 577, \"b\": 64, \"c\": 50, \"d\": 72}", "seed": "6702515733023927673", "semantic_fingerprint": "sha256:7462079a948aba4dd73357b9436c1a1e2a0b390637a522196f3c1f33680ba265", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000394", "prompt": "Solve the equation 2(x + 8) = 10(x - 2) + 57 for x.", "solution_steps": ["Expand: 2x + 16 = 10(x - 2) + 57", "Expand: 2x + 16 = 10x - 20 + 57", "Combine constants: 2x + 16 = 10x + 37", "Subtract 10x from both sides: -8x + 16 = 37", "Subtract 16 from both sides: -8x = 21", "Divide both sides by -8: x = -21/8"], "final_answer": "-21/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 8) = 10(x - 2) + 57", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 10, \"d\": 2, \"e\": 57}", "seed": "7266016650065725356", "semantic_fingerprint": "sha256:5ca7ac19cd9b82769e1af4177822d82355f136612817bcb8237e109799520660", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000395", "prompt": "Calculate: 25 * (-23 - (-316)) + 7 * 146", "solution_steps": ["Subtract: -23 - (-316) = 293", "Multiply: 25 * 293 = 7325", "Multiply: 7 * 146 = 1022", "Add: 7325 + 1022 = 8347"], "final_answer": "8347", "answer_type": "integer", "kind": "expression", "math_text": "25 * (-23 - (-316)) + 7 * 146", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -23, \"c\": -316, \"d\": 7, \"e\": 146}", "seed": "14738152123566014096", "semantic_fingerprint": "sha256:7de047bb52a07d709376088cac37eb049aa090172faf554dbb6ae2e8b16b661f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000396", "prompt": "Solve the equation -10x = 9(x + 5) + 126 for x.", "solution_steps": ["Expand: -10x = 9x + 45 + 126", "Combine constants: -10x = 9x + 171", "Subtract 9x from both sides: -19x = 171", "Divide both sides by -19: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 9(x + 5) + 126", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 9, \"c\": 5, \"e\": 126, \"x\": -9}", "seed": "2059645775868583030", "semantic_fingerprint": "sha256:66ae649611b5122d57674a56b0a3b0e65fc5c0928a7b742ccef94d264db35da5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000397", "prompt": "Solve for x: 2x - 3 = -10x - 15", "solution_steps": ["Add 10x to both sides: 12x - 3 = -15", "Add 3 to both sides: 12x = -12", "Divide both sides by 12: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 3 = -10x - 15", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": -10, \"e\": -15, \"x\": -1}", "seed": "4832651722347698812", "semantic_fingerprint": "sha256:8011a6d0988e56ed0f6c1b4a6ec54fcbe1b898ac1ebfdcd18f652022988de7b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000398", "prompt": "Compute: -18 + (-32) - (-68) / (881 / (2 - (-2)))", "solution_steps": ["Add: -18 + (-32) = -50", "Subtract: 2 - (-2) = 4", "Divide: 881 / 4 = 881/4", "Divide: -68 / (881/4) = -272/881", "Subtract: -50 - (-272/881) = -43778/881"], "final_answer": "-43778/881", "answer_type": "rational", "kind": "expression", "math_text": "-18 + (-32) - (-68) / (881 / (2 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -32, \"c\": -68, \"d\": 881, \"e\": 2, \"f\": -2}", "seed": "3483542025960983314", "semantic_fingerprint": "sha256:17aed734b97ee4536e928c185c8786c81560bb4967f8658df90d6b489f11ee28", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000399", "prompt": "Find x: 4(x + 7) + 42 = x + 34", "solution_steps": ["Expand: 4x + 28 + 42 = x + 34", "Combine constants: 4x + 70 = x + 34", "Subtract x from both sides: 3x + 70 = 34", "Subtract 70 from both sides: 3x = -36", "Divide both sides by 3: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 7) + 42 = x + 34", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 42, \"e\": 34, \"x\": -12}", "seed": "1682632089118848139", "semantic_fingerprint": "sha256:7369e55237bde8eccbfc0459e3d4731e8eb21e4b8a14bc064eee6f1712829159", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000400", "prompt": "What value of x satisfies 4(x + 798) - 22 = x + 66?", "solution_steps": ["Expand: 4x + 3192 - 22 = x + 66", "Combine constants: 4x + 3170 = x + 66", "Subtract x from both sides: 3x + 3170 = 66", "Subtract 3170 from both sides: 3x = -3104", "Divide both sides by 3: x = -3104/3"], "final_answer": "-3104/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 798) - 22 = x + 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 798, \"c\": 22, \"d\": 66}", "seed": "14223472180190993342", "semantic_fingerprint": "sha256:8453ee590d9366509681b4d1659fcc93a3e397daa1b0c09d439ea9241ca56eb0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000401", "prompt": "Calculate: (57 - (-98)) / (0 * (-76) + (-79))", "solution_steps": ["Subtract: 57 - (-98) = 155", "Multiply: 0 * (-76) = 0", "Add: 0 + (-79) = -79", "Divide: 155 / (-79) = -155/79"], "final_answer": "-155/79", "answer_type": "rational", "kind": "expression", "math_text": "(57 - (-98)) / (0 * (-76) + (-79))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -98, \"c\": 0, \"d\": -76, \"e\": -79}", "seed": "4639067055889866467", "semantic_fingerprint": "sha256:b83697cc6d538708b496796e6ffe4dc3e23931aa21dc3a1ddf22d2e0a66e8057", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000402", "prompt": "What value of x satisfies 7x - 69 = 8(x - 8)?", "solution_steps": ["Expand: 7x - 69 = 8x - 64", "Subtract 8x from both sides: -x - 69 = -64", "Add 69 to both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 69 = 8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 8, \"e\": -69, \"x\": -5}", "seed": "13409009831995377525", "semantic_fingerprint": "sha256:61f6eb3fd672834c0c16158f53a271cbb58aa95af230770f46c63c3eeffae300", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000403", "prompt": "Evaluate: -9 * (-13) + (-9) / (-76 - 221)", "solution_steps": ["Multiply: -9 * (-13) = 117", "Subtract: -76 - 221 = -297", "Divide: -9 / (-297) = 1/33", "Add: 117 + 1/33 = 3862/33"], "final_answer": "3862/33", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-13) + (-9) / (-76 - 221)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -13, \"c\": -9, \"d\": -76, \"e\": 221}", "seed": "18169386716289708157", "semantic_fingerprint": "sha256:550bb37d99fd5550115a1c5b3f66b59431aab923e6d9d3806ae2973537fc3f35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000404", "prompt": "Solve the equation -7(x - 88) - 42 = x + 726 for x.", "solution_steps": ["Expand: -7x + 616 - 42 = x + 726", "Combine constants: -7x + 574 = x + 726", "Subtract x from both sides: -8x + 574 = 726", "Subtract 574 from both sides: -8x = 152", "Divide both sides by -8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 88) - 42 = x + 726", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 88, \"c\": 42, \"e\": 726, \"x\": -19}", "seed": "12089541376331981816", "semantic_fingerprint": "sha256:94fe4772ad179fbb460d6fe61af37b797a4866aafdd4d76d7d18bab91ea360d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000405", "prompt": "What value of x satisfies -9x = 11(x + 54) - 594?", "solution_steps": ["Expand: -9x = 11x + 594 - 594", "Combine constants: -9x = 11x", "Subtract 11x from both sides: -20x = 0", "Divide both sides by -20: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 11(x + 54) - 594", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 11, \"c\": 54, \"e\": -594, \"x\": 0}", "seed": "1924499582683047566", "semantic_fingerprint": "sha256:58891f2c12c2dd69fddc59838ad1552b74ec0353778504933959493cc4056cf8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000406", "prompt": "Compute: 2 * 28 * (-963 / 6)", "solution_steps": ["Multiply: 2 * 28 = 56", "Divide: -963 / 6 = -321/2", "Multiply: 56 * (-321/2) = -8988"], "final_answer": "-8988", "answer_type": "integer", "kind": "expression", "math_text": "2 * 28 * (-963 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 28, \"c\": -963, \"d\": 6}", "seed": "17931666464666184041", "semantic_fingerprint": "sha256:a051a8698c615d504c2fff3dfe97d5045e6302a958f48be776d6fe1a33daa213", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000407", "prompt": "Evaluate: (-74 - (-57)) * (-9 + (-1 - (-206)))", "solution_steps": ["Subtract: -74 - (-57) = -17", "Subtract: -1 - (-206) = 205", "Add: -9 + 205 = 196", "Multiply: -17 * 196 = -3332"], "final_answer": "-3332", "answer_type": "integer", "kind": "expression", "math_text": "(-74 - (-57)) * (-9 + (-1 - (-206)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -57, \"c\": -9, \"d\": -1, \"e\": -206}", "seed": "800472812356342891", "semantic_fingerprint": "sha256:df6d46f071bdc95a637dd164900f4689a02794477746cd55afde285c8aa8bee3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000408", "prompt": "Compute: 22 * 6 + (-68) + (-172)", "solution_steps": ["Multiply: 22 * 6 = 132", "Add: 132 + (-68) = 64", "Add: 64 + (-172) = -108"], "final_answer": "-108", "answer_type": "integer", "kind": "expression", "math_text": "22 * 6 + (-68) + (-172)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 6, \"c\": -68, \"d\": -172}", "seed": "4785740007195956153", "semantic_fingerprint": "sha256:9d6bd1cb731f5af0a8a791d85017f9734fd4a2b8d9335999e702689f0a862962", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000409", "prompt": "What is 78 - 1 / (0 - (-38 + 0 / (-33)))?", "solution_steps": ["Divide: 0 / (-33) = 0", "Add: -38 + 0 = -38", "Subtract: 0 - (-38) = 38", "Divide: 1 / 38 = 1/38", "Subtract: 78 - 1/38 = 2963/38"], "final_answer": "2963/38", "answer_type": "rational", "kind": "expression", "math_text": "78 - 1 / (0 - (-38 + 0 / (-33)))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (- n (+ n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 1, \"c\": 0, \"d\": -38, \"e\": 0, \"f\": -33}", "seed": "15513772599787162901", "semantic_fingerprint": "sha256:9ddf48f12160a792d502c95f53449c1007f8c47cd80b04ef4aff26164ab740ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000410", "prompt": "Solve the equation 11(x + 29) = 2(x - 53) + 407 for x.", "solution_steps": ["Expand: 11x + 319 = 2(x - 53) + 407", "Expand: 11x + 319 = 2x - 106 + 407", "Combine constants: 11x + 319 = 2x + 301", "Subtract 2x from both sides: 9x + 319 = 301", "Subtract 319 from both sides: 9x = -18", "Divide both sides by 9: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 29) = 2(x - 53) + 407", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 29, \"c\": 2, \"d\": 53, \"f\": 407, \"x\": -2}", "seed": "7276546456333124721", "semantic_fingerprint": "sha256:20abff4db0a91e4e33779e3d3c8113e0791555b338ef266eeba43b40394d7912", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000411", "prompt": "Evaluate: -69 * (-81) / 89 + (-595 - (-8))", "solution_steps": ["Multiply: -69 * (-81) = 5589", "Divide: 5589 / 89 = 5589/89", "Subtract: -595 - (-8) = -587", "Add: 5589/89 + (-587) = -46654/89"], "final_answer": "-46654/89", "answer_type": "rational", "kind": "expression", "math_text": "-69 * (-81) / 89 + (-595 - (-8))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -81, \"c\": 89, \"d\": -595, \"e\": -8}", "seed": "16318795503196547562", "semantic_fingerprint": "sha256:dd18e26bd250f5f27ef1408c929616e0af7d76562ff9a8df4b4c8c0424b52016", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000412", "prompt": "Calculate: 68 * (-79 + (-249) + 73) - (-803)", "solution_steps": ["Add: -79 + (-249) = -328", "Add: -328 + 73 = -255", "Multiply: 68 * (-255) = -17340", "Subtract: -17340 - (-803) = -16537"], "final_answer": "-16537", "answer_type": "integer", "kind": "expression", "math_text": "68 * (-79 + (-249) + 73) - (-803)", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -79, \"c\": -249, \"d\": 73, \"e\": -803}", "seed": "5772166807395786181", "semantic_fingerprint": "sha256:ff32eaf68c624b775527c394b9ce781f194b3ee3581dc39148ef3a18613d45fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000413", "prompt": "What value of x satisfies 3(x + 4) = 11(x - 3) + 26?", "solution_steps": ["Expand: 3x + 12 = 11(x - 3) + 26", "Expand: 3x + 12 = 11x - 33 + 26", "Combine constants: 3x + 12 = 11x - 7", "Subtract 11x from both sides: -8x + 12 = -7", "Subtract 12 from both sides: -8x = -19", "Divide both sides by -8: x = 19/8"], "final_answer": "19/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 4) = 11(x - 3) + 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 11, \"d\": 3, \"e\": 26}", "seed": "9778272850778891175", "semantic_fingerprint": "sha256:3aac0cb12afbc2abe39147c38dcdaa7f6756f05fa90372b73dbf71951fdd4147", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000414", "prompt": "Solve for x: 10x = 9(x + 78) - 698", "solution_steps": ["Expand: 10x = 9x + 702 - 698", "Combine constants: 10x = 9x + 4", "Subtract 9x from both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 9(x + 78) - 698", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 78, \"e\": -698, \"x\": 4}", "seed": "6540692486816281916", "semantic_fingerprint": "sha256:1bf5189577c79232be1909d710e48f33182405077df8f0a34408073b212595b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000415", "prompt": "Solve for x: -10x = -7(x + 18) + 165", "solution_steps": ["Expand: -10x = -7x - 126 + 165", "Combine constants: -10x = -7x + 39", "Add 7x to both sides: -3x = 39", "Divide both sides by -3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = -7(x + 18) + 165", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -7, \"c\": 18, \"e\": 165, \"x\": -13}", "seed": "11511551817053631342", "semantic_fingerprint": "sha256:dc3171293b77119496afe97e8aaa55c8f8f564664ed66619d3efab5e822e556d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000416", "prompt": "Solve the equation 5(x + 15) + 81 = x + 21 for x.", "solution_steps": ["Expand: 5x + 75 + 81 = x + 21", "Combine constants: 5x + 156 = x + 21", "Subtract x from both sides: 4x + 156 = 21", "Subtract 156 from both sides: 4x = -135", "Divide both sides by 4: x = -135/4"], "final_answer": "-135/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 15) + 81 = x + 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 15, \"c\": 81, \"d\": 21}", "seed": "6553709079400808657", "semantic_fingerprint": "sha256:79fe1365e97bfd0c18b6e55f2762d783b9c86b4c5dbe61cb6bf5e11307a3575c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000417", "prompt": "Find x: 12(x + 37) + 186 = x + 839", "solution_steps": ["Expand: 12x + 444 + 186 = x + 839", "Combine constants: 12x + 630 = x + 839", "Subtract x from both sides: 11x + 630 = 839", "Subtract 630 from both sides: 11x = 209", "Divide both sides by 11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 37) + 186 = x + 839", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 37, \"c\": 186, \"e\": 839, \"x\": 19}", "seed": "6110801737619942782", "semantic_fingerprint": "sha256:6869e75d04c44a12ebc18c83ccab567123eff4b6cdbd975715dc598990fdd58d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000418", "prompt": "What value of x satisfies -2(x + 3) + 34 = x + 58?", "solution_steps": ["Expand: -2x - 6 + 34 = x + 58", "Combine constants: -2x + 28 = x + 58", "Subtract x from both sides: -3x + 28 = 58", "Subtract 28 from both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 3) + 34 = x + 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 34, \"e\": 58, \"x\": -10}", "seed": "12799736407135079623", "semantic_fingerprint": "sha256:8e8c116f9685015a1ad0f9f2b34662615226d95a805ffe021bcc0c43dadf1a6c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000419", "prompt": "Evaluate: 7 + (586 - 69) + (-49)", "solution_steps": ["Subtract: 586 - 69 = 517", "Add: 7 + 517 = 524", "Add: 524 + (-49) = 475"], "final_answer": "475", "answer_type": "integer", "kind": "expression", "math_text": "7 + (586 - 69) + (-49)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 586, \"c\": 69, \"d\": -49}", "seed": "8720054103420213268", "semantic_fingerprint": "sha256:635cb0314601538b1651bc0808ec3418e9a279c3d20f112437b226eaafb7262a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000420", "prompt": "What value of x satisfies 6x = 5(x + 25) - 132?", "solution_steps": ["Expand: 6x = 5x + 125 - 132", "Combine constants: 6x = 5x - 7", "Subtract 5x from both sides: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 5(x + 25) - 132", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 25, \"e\": -132, \"x\": -7}", "seed": "8184757681390226003", "semantic_fingerprint": "sha256:3d77bdd9755fa957d1acb4bf6c23c292383634bca863b41575221fd729cfb89d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000421", "prompt": "Compute: (40 - (-4) - 81) * (-69)", "solution_steps": ["Subtract: 40 - (-4) = 44", "Subtract: 44 - 81 = -37", "Multiply: -37 * (-69) = 2553"], "final_answer": "2553", "answer_type": "integer", "kind": "expression", "math_text": "(40 - (-4) - 81) * (-69)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -4, \"c\": 81, \"d\": -69}", "seed": "12364704574518073784", "semantic_fingerprint": "sha256:53220eddfa19b8fc30daca7ffdbda8aa15a9021d29114e7f58b34b7f95e3d085", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000422", "prompt": "Solve for x: -8(x + 42) - 72 = x + 15", "solution_steps": ["Expand: -8x - 336 - 72 = x + 15", "Combine constants: -8x - 408 = x + 15", "Subtract x from both sides: -9x - 408 = 15", "Add 408 to both sides: -9x = 423", "Divide both sides by -9: x = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 42) - 72 = x + 15", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 42, \"c\": 72, \"d\": 15}", "seed": "17821369812874610588", "semantic_fingerprint": "sha256:ed94e40b5c467d315ca59b41773fffd3a40f31fee38ece52712cfedb53c31f12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000423", "prompt": "Evaluate: 94 * (-388) + 27 * (-805)", "solution_steps": ["Multiply: 94 * (-388) = -36472", "Multiply: 27 * (-805) = -21735", "Add: -36472 + (-21735) = -58207"], "final_answer": "-58207", "answer_type": "integer", "kind": "expression", "math_text": "94 * (-388) + 27 * (-805)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -388, \"c\": 27, \"d\": -805}", "seed": "13609093941067885283", "semantic_fingerprint": "sha256:c71d327f534d0b0a968982fce91b6021306235127d4a53a747b3b4d79cf185c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000424", "prompt": "What value of x satisfies 4(x + 6) = 9(x - 6) + 63?", "solution_steps": ["Expand: 4x + 24 = 9(x - 6) + 63", "Expand: 4x + 24 = 9x - 54 + 63", "Combine constants: 4x + 24 = 9x + 9", "Subtract 9x from both sides: -5x + 24 = 9", "Subtract 24 from both sides: -5x = -15", "Divide both sides by -5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 6) = 9(x - 6) + 63", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 9, \"d\": 6, \"f\": 63, \"x\": 3}", "seed": "10018543597445955952", "semantic_fingerprint": "sha256:2cc61ab6c0cecf32087af5940133087bb0b18c3b8dd5d36713a9aad996eeb91f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000425", "prompt": "Compute: -752 * (2 - (-2) * 26) + 32", "solution_steps": ["Multiply: -2 * 26 = -52", "Subtract: 2 - (-52) = 54", "Multiply: -752 * 54 = -40608", "Add: -40608 + 32 = -40576"], "final_answer": "-40576", "answer_type": "integer", "kind": "expression", "math_text": "-752 * (2 - (-2) * 26) + 32", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -752, \"b\": 2, \"c\": -2, \"d\": 26, \"e\": 32}", "seed": "9786480737752865076", "semantic_fingerprint": "sha256:3ac69b203716c3f6fe2df59cdcd1709b62aaf1a2997290747dfe427a83474d67", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000426", "prompt": "Compute: 8 + (290 - (-239)) + 208", "solution_steps": ["Subtract: 290 - (-239) = 529", "Add: 8 + 529 = 537", "Add: 537 + 208 = 745"], "final_answer": "745", "answer_type": "integer", "kind": "expression", "math_text": "8 + (290 - (-239)) + 208", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 290, \"c\": -239, \"d\": 208}", "seed": "18421599279029416267", "semantic_fingerprint": "sha256:4689a908917e22e6a6d587e7ed8a7e6d0a9d1c3f33b6198618e0cecfb2dfc90d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000427", "prompt": "Compute: -63 - 7 - (1 - 981 - 8)", "solution_steps": ["Subtract: -63 - 7 = -70", "Subtract: 1 - 981 = -980", "Subtract: -980 - 8 = -988", "Subtract: -70 - (-988) = 918"], "final_answer": "918", "answer_type": "integer", "kind": "expression", "math_text": "-63 - 7 - (1 - 981 - 8)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 7, \"c\": 1, \"d\": 981, \"e\": 8}", "seed": "11266305923330686332", "semantic_fingerprint": "sha256:ffcb2fe988d83e788acc441a7415e40001fdc376b9ebdb34cc96fbed0ab92a50", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000428", "prompt": "Find x: -12(x + 95) + 979 = x + 5", "solution_steps": ["Expand: -12x - 1140 + 979 = x + 5", "Combine constants: -12x - 161 = x + 5", "Subtract x from both sides: -13x - 161 = 5", "Add 161 to both sides: -13x = 166", "Divide both sides by -13: x = -166/13"], "final_answer": "-166/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 95) + 979 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 95, \"c\": 979, \"d\": 5}", "seed": "11800374781508494087", "semantic_fingerprint": "sha256:5a8ef889c29e7e6034a0c8cb0b6546c7f5ee4fc955ddd31ea13281ed044a83d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000429", "prompt": "What is (41 + 42) * (92 / (56 + (-46)) - 91)?", "solution_steps": ["Add: 41 + 42 = 83", "Add: 56 + (-46) = 10", "Divide: 92 / 10 = 46/5", "Subtract: 46/5 - 91 = -409/5", "Multiply: 83 * (-409/5) = -33947/5"], "final_answer": "-33947/5", "answer_type": "rational", "kind": "expression", "math_text": "(41 + 42) * (92 / (56 + (-46)) - 91)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (- (/ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 42, \"c\": 92, \"d\": 56, \"e\": -46, \"f\": 91}", "seed": "494841329877139052", "semantic_fingerprint": "sha256:c286a5d64ce02fab56af62e0718533a6c5f6bfdfea850b9db5e68e44b2e0db16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000430", "prompt": "Evaluate: (25 + (-235 + 2 - (-5))) / 69", "solution_steps": ["Add: -235 + 2 = -233", "Subtract: -233 - (-5) = -228", "Add: 25 + (-228) = -203", "Divide: -203 / 69 = -203/69"], "final_answer": "-203/69", "answer_type": "rational", "kind": "expression", "math_text": "(25 + (-235 + 2 - (-5))) / 69", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -235, \"c\": 2, \"d\": -5, \"e\": 69}", "seed": "15223709724975535424", "semantic_fingerprint": "sha256:9abb360266b8bf6b2119c7690543e125d341931d6459b4aa55168d3d0caf32e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000431", "prompt": "Calculate: -3 - (653 - (-559) * 779) / 71", "solution_steps": ["Multiply: -559 * 779 = -435461", "Subtract: 653 - (-435461) = 436114", "Divide: 436114 / 71 = 436114/71", "Subtract: -3 - 436114/71 = -436327/71"], "final_answer": "-436327/71", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (653 - (-559) * 779) / 71", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 653, \"c\": -559, \"d\": 779, \"e\": 71}", "seed": "1852060313730025083", "semantic_fingerprint": "sha256:0d5a2aaa3484b22ce02d2d3a32bb72702008b9325877b6ee8b708dc16ac93651", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000432", "prompt": "What value of x satisfies 12(x + 93) - 265 = x + 796?", "solution_steps": ["Expand: 12x + 1116 - 265 = x + 796", "Combine constants: 12x + 851 = x + 796", "Subtract x from both sides: 11x + 851 = 796", "Subtract 851 from both sides: 11x = -55", "Divide both sides by 11: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 93) - 265 = x + 796", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 93, \"c\": 265, \"e\": 796, \"x\": -5}", "seed": "11567733826088166811", "semantic_fingerprint": "sha256:0104814a81661c5679d7bce7030b4d1e5798b1b19905fc10a38b4ddbf943fdea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000433", "prompt": "Compute: 16 / (-25 * 918 / (-771)) / (-2 * 2)", "solution_steps": ["Multiply: -25 * 918 = -22950", "Divide: -22950 / (-771) = 7650/257", "Divide: 16 / (7650/257) = 2056/3825", "Multiply: -2 * 2 = -4", "Divide: (2056/3825) / (-4) = -514/3825"], "final_answer": "-514/3825", "answer_type": "rational", "kind": "expression", "math_text": "16 / (-25 * 918 / (-771)) / (-2 * 2)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (/ (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -25, \"c\": 918, \"d\": -771, \"e\": -2, \"f\": 2}", "seed": "1341000844212014033", "semantic_fingerprint": "sha256:c97f97274c87c477b5e7b2ddb632263c799db26a70a362c50c86f2c4ddd0a2c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000434", "prompt": "What is -8 - (98 - 3) + (-6) - 376?", "solution_steps": ["Subtract: 98 - 3 = 95", "Subtract: -8 - 95 = -103", "Add: -103 + (-6) = -109", "Subtract: -109 - 376 = -485"], "final_answer": "-485", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (98 - 3) + (-6) - 376", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 98, \"c\": 3, \"d\": -6, \"e\": 376}", "seed": "10154596145553415990", "semantic_fingerprint": "sha256:187f647f19bfd61baaa1ccb6d19290881fe78d8e44363035ff896f081afc8524", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000435", "prompt": "Find x: 12(x + 254) = 4(x - 3) + 84", "solution_steps": ["Expand: 12x + 3048 = 4(x - 3) + 84", "Expand: 12x + 3048 = 4x - 12 + 84", "Combine constants: 12x + 3048 = 4x + 72", "Subtract 4x from both sides: 8x + 3048 = 72", "Subtract 3048 from both sides: 8x = -2976", "Divide both sides by 8: x = -372"], "final_answer": "-372", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 254) = 4(x - 3) + 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 254, \"c\": 4, \"d\": 3, \"e\": 84}", "seed": "16288482087843800564", "semantic_fingerprint": "sha256:9f66a30061c0abea948e068a10e15daab26542f381f0fe824564b5022a1d2701", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000436", "prompt": "Calculate: -439 * 902 / (-830) + (-105) + (-8)", "solution_steps": ["Multiply: -439 * 902 = -395978", "Divide: -395978 / (-830) = 197989/415", "Add: 197989/415 + (-105) = 154414/415", "Add: 154414/415 + (-8) = 151094/415"], "final_answer": "151094/415", "answer_type": "rational", "kind": "expression", "math_text": "-439 * 902 / (-830) + (-105) + (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -439, \"b\": 902, \"c\": -830, \"d\": -105, \"e\": -8}", "seed": "3382400762230290262", "semantic_fingerprint": "sha256:401e70596bbbeaa67b235125de0d08cb5c0727b2d19383906162d7192be9f906", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000437", "prompt": "Evaluate: -866 / (-7) * (-304 * 866 / (-492) * 0)", "solution_steps": ["Divide: -866 / (-7) = 866/7", "Multiply: -304 * 866 = -263264", "Divide: -263264 / (-492) = 65816/123", "Multiply: (65816/123) * 0 = 0", "Multiply: (866/7) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-866 / (-7) * (-304 * 866 / (-492) * 0)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (* (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -866, \"b\": -7, \"c\": -304, \"d\": 866, \"e\": -492, \"f\": 0}", "seed": "8759298338482878917", "semantic_fingerprint": "sha256:cee5438618add578459ccdf887649879f11629914c8ccec8ac56be16f09fbcef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000438", "prompt": "Calculate: -18 - (509 - (-82)) + 299 - (-4)", "solution_steps": ["Subtract: 509 - (-82) = 591", "Subtract: -18 - 591 = -609", "Add: -609 + 299 = -310", "Subtract: -310 - (-4) = -306"], "final_answer": "-306", "answer_type": "integer", "kind": "expression", "math_text": "-18 - (509 - (-82)) + 299 - (-4)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 509, \"c\": -82, \"d\": 299, \"e\": -4}", "seed": "1833716332474514607", "semantic_fingerprint": "sha256:4cb48a1e3ff4bd1df5d018e5fcfacb8cfee04c5c19e5e67b29b7c7d1ffc60562", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000439", "prompt": "What is 9 / (-9) * (-45 / 595)?", "solution_steps": ["Divide: 9 / (-9) = -1", "Divide: -45 / 595 = -9/119", "Multiply: -1 * (-9/119) = 9/119"], "final_answer": "9/119", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-9) * (-45 / 595)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -9, \"c\": -45, \"d\": 595}", "seed": "16422452485508472514", "semantic_fingerprint": "sha256:5d830adc8b842b1549ae3271b0382015ddc49edbe59cc7ab4bf06ad854d1bab0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000440", "prompt": "Evaluate: (-80 / 9 - 487) * 93", "solution_steps": ["Divide: -80 / 9 = -80/9", "Subtract: -80/9 - 487 = -4463/9", "Multiply: (-4463/9) * 93 = -138353/3"], "final_answer": "-138353/3", "answer_type": "rational", "kind": "expression", "math_text": "(-80 / 9 - 487) * 93", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 9, \"c\": 487, \"d\": 93}", "seed": "2053882584478106940", "semantic_fingerprint": "sha256:2962383abef0a8ac704eabcdb19d25af62c5447ad900d668cfe6907eba7fdaa0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000441", "prompt": "Calculate: 718 + (2 - (7 + (-406)))", "solution_steps": ["Add: 7 + (-406) = -399", "Subtract: 2 - (-399) = 401", "Add: 718 + 401 = 1119"], "final_answer": "1119", "answer_type": "integer", "kind": "expression", "math_text": "718 + (2 - (7 + (-406)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 718, \"b\": 2, \"c\": 7, \"d\": -406}", "seed": "16397860241066296185", "semantic_fingerprint": "sha256:f7924d71ea89fe083e74754dece7c557c6859e04173db94b8545893f88584423", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000442", "prompt": "Compute: 6 * (-55) + (-96) + (-7) / 155", "solution_steps": ["Multiply: 6 * (-55) = -330", "Add: -330 + (-96) = -426", "Divide: -7 / 155 = -7/155", "Add: -426 + (-7/155) = -66037/155"], "final_answer": "-66037/155", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-55) + (-96) + (-7) / 155", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -55, \"c\": -96, \"d\": -7, \"e\": 155}", "seed": "4324513881430007432", "semantic_fingerprint": "sha256:e09fb2bf84efef86934352662fc295c17d23ed3fa24aab5d5188219f4434b485", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000443", "prompt": "What value of x satisfies 11(x + 8) + 61 = x + 9?", "solution_steps": ["Expand: 11x + 88 + 61 = x + 9", "Combine constants: 11x + 149 = x + 9", "Subtract x from both sides: 10x + 149 = 9", "Subtract 149 from both sides: 10x = -140", "Divide both sides by 10: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 8) + 61 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 61, \"e\": 9, \"x\": -14}", "seed": "5207486504860096792", "semantic_fingerprint": "sha256:ccbccd9b5d3ba23df6239b87d4df266f77bb60796c78e288529072b708a02df4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000444", "prompt": "Calculate: -91 * (-2) + (-8 - 990)", "solution_steps": ["Multiply: -91 * (-2) = 182", "Subtract: -8 - 990 = -998", "Add: 182 + (-998) = -816"], "final_answer": "-816", "answer_type": "integer", "kind": "expression", "math_text": "-91 * (-2) + (-8 - 990)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -2, \"c\": -8, \"d\": 990}", "seed": "11220048419307183762", "semantic_fingerprint": "sha256:54d63427ab782e7ad786d795f9ee892f2119e1a332e6d3d5dbb5f21b18e6e57a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000445", "prompt": "Compute: -1 + (14 - (-48)) + (-83)", "solution_steps": ["Subtract: 14 - (-48) = 62", "Add: -1 + 62 = 61", "Add: 61 + (-83) = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (14 - (-48)) + (-83)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 14, \"c\": -48, \"d\": -83}", "seed": "18136121812363120117", "semantic_fingerprint": "sha256:5f5a55173940fc6503d74bc974fd4008cbf257c51d75400f75f035083a09bf78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000446", "prompt": "Compute: 14 * 4 * (7 + (-60 + 8))", "solution_steps": ["Multiply: 14 * 4 = 56", "Add: -60 + 8 = -52", "Add: 7 + (-52) = -45", "Multiply: 56 * (-45) = -2520"], "final_answer": "-2520", "answer_type": "integer", "kind": "expression", "math_text": "14 * 4 * (7 + (-60 + 8))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 4, \"c\": 7, \"d\": -60, \"e\": 8}", "seed": "11627862500411822538", "semantic_fingerprint": "sha256:c92f4557539ced42873294dfa48bbfcc31db10e9c8325d68a6f7fc733313f690", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000447", "prompt": "Find x: 11(x - 11) - 82 = x + 1", "solution_steps": ["Expand: 11x - 121 - 82 = x + 1", "Combine constants: 11x - 203 = x + 1", "Subtract x from both sides: 10x - 203 = 1", "Add 203 to both sides: 10x = 204", "Divide both sides by 10: x = 102/5"], "final_answer": "102/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 11) - 82 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 11, \"c\": 82, \"d\": 1}", "seed": "9875623795864981500", "semantic_fingerprint": "sha256:28492687f6f525cfdfeb61f2f7e4e9fac707b2dd9d66c4df04cdfe7d50fb6170", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000448", "prompt": "What is -72 + (-790) - (996 - (-382 - 14))?", "solution_steps": ["Add: -72 + (-790) = -862", "Subtract: -382 - 14 = -396", "Subtract: 996 - (-396) = 1392", "Subtract: -862 - 1392 = -2254"], "final_answer": "-2254", "answer_type": "integer", "kind": "expression", "math_text": "-72 + (-790) - (996 - (-382 - 14))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -790, \"c\": 996, \"d\": -382, \"e\": 14}", "seed": "2611189505264464896", "semantic_fingerprint": "sha256:c2507ccaafa9e645549e31e4e8c249c7151b3269aceb4497d5274a840755f65e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000449", "prompt": "Solve for x: 9(x + 2) - 5 = x + 93", "solution_steps": ["Expand: 9x + 18 - 5 = x + 93", "Combine constants: 9x + 13 = x + 93", "Subtract x from both sides: 8x + 13 = 93", "Subtract 13 from both sides: 8x = 80", "Divide both sides by 8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 2) - 5 = x + 93", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 5, \"e\": 93, \"x\": 10}", "seed": "16365977782028898833", "semantic_fingerprint": "sha256:93a28a52a9988ead6d4e7dab56e94579a0fc2bd3954d97ea441553d82cb9a8f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000450", "prompt": "What value of x satisfies 8x - 232 = 5(x - 56)?", "solution_steps": ["Expand: 8x - 232 = 5x - 280", "Subtract 5x from both sides: 3x - 232 = -280", "Add 232 to both sides: 3x = -48", "Divide both sides by 3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 232 = 5(x - 56)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 56, \"e\": -232, \"x\": -16}", "seed": "17716841628554234659", "semantic_fingerprint": "sha256:bf700945072030032fc4d47bf4ecfbbaf3ceff59db8a39cb0784159af0c052da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000451", "prompt": "What is 48 / 44 * (-234 / 874)?", "solution_steps": ["Divide: 48 / 44 = 12/11", "Divide: -234 / 874 = -117/437", "Multiply: (12/11) * (-117/437) = -1404/4807"], "final_answer": "-1404/4807", "answer_type": "rational", "kind": "expression", "math_text": "48 / 44 * (-234 / 874)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 44, \"c\": -234, \"d\": 874}", "seed": "10050784023957473134", "semantic_fingerprint": "sha256:be51c062bcfc039c77c4830f3a841741b242ae4e817d1994d2faa940d5574d30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000452", "prompt": "Compute: -9 * 1 + (18 - (-65))", "solution_steps": ["Multiply: -9 * 1 = -9", "Subtract: 18 - (-65) = 83", "Add: -9 + 83 = 74"], "final_answer": "74", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 1 + (18 - (-65))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": 18, \"d\": -65}", "seed": "10770695233753928237", "semantic_fingerprint": "sha256:ffd195b02912d3b790f11fdb758a2935132699d85959394c9b0173f96af85075", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000453", "prompt": "Evaluate: 97 - 3 + (12 * (-23) + (-865))", "solution_steps": ["Subtract: 97 - 3 = 94", "Multiply: 12 * (-23) = -276", "Add: -276 + (-865) = -1141", "Add: 94 + (-1141) = -1047"], "final_answer": "-1047", "answer_type": "integer", "kind": "expression", "math_text": "97 - 3 + (12 * (-23) + (-865))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 3, \"c\": 12, \"d\": -23, \"e\": -865}", "seed": "9883335304000226782", "semantic_fingerprint": "sha256:d5a8c8fbbc0c422aa841dcffc455d54d405178e84edac20983f7ea6ec3710604", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000454", "prompt": "Compute: 6 * (-90 + (-8) * (-95))", "solution_steps": ["Multiply: -8 * (-95) = 760", "Add: -90 + 760 = 670", "Multiply: 6 * 670 = 4020"], "final_answer": "4020", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-90 + (-8) * (-95))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -90, \"c\": -8, \"d\": -95}", "seed": "12157387340221992419", "semantic_fingerprint": "sha256:ecbeb1e2b4fc1005675532a1b74dac87ac5b053c4a0ae052914344a501f3ad4e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000455", "prompt": "Solve for x: 2x - 75 = 6x - 143", "solution_steps": ["Subtract 6x from both sides: -4x - 75 = -143", "Add 75 to both sides: -4x = -68", "Divide both sides by -4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 75 = 6x - 143", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 75, \"c\": 6, \"e\": -143, \"x\": 17}", "seed": "16490461607183536280", "semantic_fingerprint": "sha256:f846daf4b08a33920d079822530213493d5c47517fa6ad189aae8b8e58f61ef1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000456", "prompt": "What is (161 - (9 + (-686))) * 981?", "solution_steps": ["Add: 9 + (-686) = -677", "Subtract: 161 - (-677) = 838", "Multiply: 838 * 981 = 822078"], "final_answer": "822078", "answer_type": "integer", "kind": "expression", "math_text": "(161 - (9 + (-686))) * 981", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 161, \"b\": 9, \"c\": -686, \"d\": 981}", "seed": "3760170475855060598", "semantic_fingerprint": "sha256:e0fac420132d0b199ff2f04c36cf8d90643d5b86e2ff870c6de93effa31be913", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000457", "prompt": "What is -90 / 100 / (-7 * 43) + 54?", "solution_steps": ["Divide: -90 / 100 = -9/10", "Multiply: -7 * 43 = -301", "Divide: (-9/10) / (-301) = 9/3010", "Add: 9/3010 + 54 = 162549/3010"], "final_answer": "162549/3010", "answer_type": "rational", "kind": "expression", "math_text": "-90 / 100 / (-7 * 43) + 54", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 100, \"c\": -7, \"d\": 43, \"e\": 54}", "seed": "12094941602753266055", "semantic_fingerprint": "sha256:5600a08a0285a3c3f79403a1ce53a1bb2c4651ea6145ca57ff32ef449ea63698", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000458", "prompt": "Solve the equation 3x - 406 = 9x - 466 for x.", "solution_steps": ["Subtract 9x from both sides: -6x - 406 = -466", "Add 406 to both sides: -6x = -60", "Divide both sides by -6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 406 = 9x - 466", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 406, \"c\": 9, \"e\": -466, \"x\": 10}", "seed": "16147016918479411826", "semantic_fingerprint": "sha256:12fafc0244774119d7fea4f63100879993228d31835b03e718571659ac3b55ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000459", "prompt": "What value of x satisfies -11(x + 99) - 74 = x + 43?", "solution_steps": ["Expand: -11x - 1089 - 74 = x + 43", "Combine constants: -11x - 1163 = x + 43", "Subtract x from both sides: -12x - 1163 = 43", "Add 1163 to both sides: -12x = 1206", "Divide both sides by -12: x = -201/2"], "final_answer": "-201/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 99) - 74 = x + 43", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 99, \"c\": 74, \"d\": 43}", "seed": "14571416485650814941", "semantic_fingerprint": "sha256:a9156567487dc66aa4d35b1ec1fc38b34b6aaf3cec474f82448aabca8e09366f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000460", "prompt": "Solve for x: -5x = -8(x + 7) + 97", "solution_steps": ["Expand: -5x = -8x - 56 + 97", "Combine constants: -5x = -8x + 41", "Add 8x to both sides: 3x = 41", "Divide both sides by 3: x = 41/3"], "final_answer": "41/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = -8(x + 7) + 97", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -8, \"c\": 7, \"d\": 97}", "seed": "14052150986662312411", "semantic_fingerprint": "sha256:c5fa6e658ca5c2411f2d3ed39f431d2d21d6962ac861d0abcbb4d67a17260b0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000461", "prompt": "Evaluate: -4 + (2 - (-7 + (-5)))", "solution_steps": ["Add: -7 + (-5) = -12", "Subtract: 2 - (-12) = 14", "Add: -4 + 14 = 10"], "final_answer": "10", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (2 - (-7 + (-5)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": -7, \"d\": -5}", "seed": "892335086152213278", "semantic_fingerprint": "sha256:ea0dcc3c8261fc03970e1b689d91b31c8b01d3c7cf01f5ecc9c3ecb612e47f74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000462", "prompt": "Compute: 469 - (9 + (965 - (-155)) / (-3))", "solution_steps": ["Subtract: 965 - (-155) = 1120", "Divide: 1120 / (-3) = -1120/3", "Add: 9 + (-1120/3) = -1093/3", "Subtract: 469 - (-1093/3) = 2500/3"], "final_answer": "2500/3", "answer_type": "rational", "kind": "expression", "math_text": "469 - (9 + (965 - (-155)) / (-3))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 469, \"b\": 9, \"c\": 965, \"d\": -155, \"e\": -3}", "seed": "12501122697712723550", "semantic_fingerprint": "sha256:393d9729c1773249df83bffe27a66f22263b8541b3bf19f5138c933e54aff012", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000463", "prompt": "Solve the equation 3(x + 7) = 6(x - 91) + 534 for x.", "solution_steps": ["Expand: 3x + 21 = 6(x - 91) + 534", "Expand: 3x + 21 = 6x - 546 + 534", "Combine constants: 3x + 21 = 6x - 12", "Subtract 6x from both sides: -3x + 21 = -12", "Subtract 21 from both sides: -3x = -33", "Divide both sides by -3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 7) = 6(x - 91) + 534", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 6, \"d\": 91, \"f\": 534, \"x\": 11}", "seed": "5761433715626414597", "semantic_fingerprint": "sha256:f240951f7d7b99497c63e113d220848c1c2aedafcd94359a0b32f4c186e17197", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000464", "prompt": "Solve for x: 12x - 84 = 11x - 92", "solution_steps": ["Subtract 11x from both sides: x - 84 = -92", "Add 84 to both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 84 = 11x - 92", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 84, \"c\": 11, \"e\": -92, \"x\": -8}", "seed": "5580474422076487820", "semantic_fingerprint": "sha256:588d773ae52fc1403c89a3c83bc45d0fa2abd4b1682fcb26cdb9854c6c851b06", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000465", "prompt": "Find x: 4(x + 52) = -5(x - 872) + 657", "solution_steps": ["Expand: 4x + 208 = -5(x - 872) + 657", "Expand: 4x + 208 = -5x + 4360 + 657", "Combine constants: 4x + 208 = -5x + 5017", "Add 5x to both sides: 9x + 208 = 5017", "Subtract 208 from both sides: 9x = 4809", "Divide both sides by 9: x = 1603/3"], "final_answer": "1603/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 52) = -5(x - 872) + 657", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 52, \"c\": -5, \"d\": 872, \"e\": 657}", "seed": "4420832152138553276", "semantic_fingerprint": "sha256:1c62710f11e7b0739fd16283fcc29ed8eb9d45f02440371e78aaccc6bdd754d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000466", "prompt": "Compute: (14 + 4) / (-408) / 1 + (34 - 1)", "solution_steps": ["Add: 14 + 4 = 18", "Divide: 18 / (-408) = -3/68", "Divide: (-3/68) / 1 = -3/68", "Subtract: 34 - 1 = 33", "Add: -3/68 + 33 = 2241/68"], "final_answer": "2241/68", "answer_type": "rational", "kind": "expression", "math_text": "(14 + 4) / (-408) / 1 + (34 - 1)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 4, \"c\": -408, \"d\": 1, \"e\": 34, \"f\": 1}", "seed": "8327470079345135447", "semantic_fingerprint": "sha256:30f6a5a756cebd6a65d4d64813b49d29dd90d27d995ad158152f3b51dfce0e02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000467", "prompt": "Compute: 42 - 0 + (6 + (-797 + (0 - (-58))))", "solution_steps": ["Subtract: 42 - 0 = 42", "Subtract: 0 - (-58) = 58", "Add: -797 + 58 = -739", "Add: 6 + (-739) = -733", "Add: 42 + (-733) = -691"], "final_answer": "-691", "answer_type": "integer", "kind": "expression", "math_text": "42 - 0 + (6 + (-797 + (0 - (-58))))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 0, \"c\": 6, \"d\": -797, \"e\": 0, \"f\": -58}", "seed": "13006610230131425727", "semantic_fingerprint": "sha256:60ba6524bc221e75dc06d6f08f96189f19f8bd8ecbe04de3658bc32f1380dbb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000468", "prompt": "What is 8 * 473 / (-79) - 785 / (-26)?", "solution_steps": ["Multiply: 8 * 473 = 3784", "Divide: 3784 / (-79) = -3784/79", "Divide: 785 / (-26) = -785/26", "Subtract: -3784/79 - (-785/26) = -36369/2054"], "final_answer": "-36369/2054", "answer_type": "rational", "kind": "expression", "math_text": "8 * 473 / (-79) - 785 / (-26)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 473, \"c\": -79, \"d\": 785, \"e\": -26}", "seed": "1307874222962697610", "semantic_fingerprint": "sha256:13bdb8f8924490a369b6d5c39512ac5f244977b9d3d392d91b47a2baf551e893", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000469", "prompt": "Solve the equation -5x = 4(x + 13) - 223 for x.", "solution_steps": ["Expand: -5x = 4x + 52 - 223", "Combine constants: -5x = 4x - 171", "Subtract 4x from both sides: -9x = -171", "Divide both sides by -9: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 4(x + 13) - 223", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 13, \"e\": -223, \"x\": 19}", "seed": "1162537415806931157", "semantic_fingerprint": "sha256:db707211fe9e645da89416783d12cff7d634eb349488481337e0a72664c5d937", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000470", "prompt": "Compute: (92 - (1 + (-27))) * (-881)", "solution_steps": ["Add: 1 + (-27) = -26", "Subtract: 92 - (-26) = 118", "Multiply: 118 * (-881) = -103958"], "final_answer": "-103958", "answer_type": "integer", "kind": "expression", "math_text": "(92 - (1 + (-27))) * (-881)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 1, \"c\": -27, \"d\": -881}", "seed": "11322937950500809537", "semantic_fingerprint": "sha256:8a1edc1f47366dde8e9c13a2c34604bd4d2e33f86422e4011a8aec234bad6702", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000471", "prompt": "Evaluate: 113 - (-230) - 0 * ((56 - 180) * (-86))", "solution_steps": ["Subtract: 113 - (-230) = 343", "Subtract: 56 - 180 = -124", "Multiply: -124 * (-86) = 10664", "Multiply: 0 * 10664 = 0", "Subtract: 343 - 0 = 343"], "final_answer": "343", "answer_type": "integer", "kind": "expression", "math_text": "113 - (-230) - 0 * ((56 - 180) * (-86))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 113, \"b\": -230, \"c\": 0, \"d\": 56, \"e\": 180, \"f\": -86}", "seed": "1435344513850334485", "semantic_fingerprint": "sha256:20feb32a7d4bb49b1e73263c5d867d5a1338ad0c73696b50fdeab30d06af41bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000472", "prompt": "Evaluate: -97 * 67 * (-67 / (766 + (37 - 96)))", "solution_steps": ["Multiply: -97 * 67 = -6499", "Subtract: 37 - 96 = -59", "Add: 766 + (-59) = 707", "Divide: -67 / 707 = -67/707", "Multiply: -6499 * (-67/707) = 435433/707"], "final_answer": "435433/707", "answer_type": "rational", "kind": "expression", "math_text": "-97 * 67 * (-67 / (766 + (37 - 96)))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (/ n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 67, \"c\": -67, \"d\": 766, \"e\": 37, \"f\": 96}", "seed": "2370213406043871041", "semantic_fingerprint": "sha256:51fbbd23e914d0cc9e08f5c1686a5c82855efaedf89891688013e9ebb90482fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000473", "prompt": "What is 975 * (-593 / (7 * 9)) - (-26 - 7)?", "solution_steps": ["Multiply: 7 * 9 = 63", "Divide: -593 / 63 = -593/63", "Multiply: 975 * (-593/63) = -192725/21", "Subtract: -26 - 7 = -33", "Subtract: -192725/21 - (-33) = -192032/21"], "final_answer": "-192032/21", "answer_type": "rational", "kind": "expression", "math_text": "975 * (-593 / (7 * 9)) - (-26 - 7)", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ n (* n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 975, \"b\": -593, \"c\": 7, \"d\": 9, \"e\": -26, \"f\": 7}", "seed": "2453997575157106407", "semantic_fingerprint": "sha256:9f46efd16419e842c11ccfa4c51b065f769a03e48d4897aa407d19d7124500fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000474", "prompt": "Solve the equation -2(x + 62) + 3 = x + 6 for x.", "solution_steps": ["Expand: -2x - 124 + 3 = x + 6", "Combine constants: -2x - 121 = x + 6", "Subtract x from both sides: -3x - 121 = 6", "Add 121 to both sides: -3x = 127", "Divide both sides by -3: x = -127/3"], "final_answer": "-127/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 62) + 3 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 62, \"c\": 3, \"d\": 6}", "seed": "8567912487330805860", "semantic_fingerprint": "sha256:56e562b834375e3bf105d6cfd15061e414e511ebf1f67fc9046f361c034351f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000475", "prompt": "What is 83 * (-70) + (-85 - (-3))?", "solution_steps": ["Multiply: 83 * (-70) = -5810", "Subtract: -85 - (-3) = -82", "Add: -5810 + (-82) = -5892"], "final_answer": "-5892", "answer_type": "integer", "kind": "expression", "math_text": "83 * (-70) + (-85 - (-3))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -70, \"c\": -85, \"d\": -3}", "seed": "246811283127497723", "semantic_fingerprint": "sha256:547f44159860d6bdb67c874c06ed0546ca1303282582c8f40c4736421f1eb704", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000476", "prompt": "What is 672 * (0 * (81 + 222)) - 2?", "solution_steps": ["Add: 81 + 222 = 303", "Multiply: 0 * 303 = 0", "Multiply: 672 * 0 = 0", "Subtract: 0 - 2 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "672 * (0 * (81 + 222)) - 2", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 672, \"b\": 0, \"c\": 81, \"d\": 222, \"e\": 2}", "seed": "17134439090124311539", "semantic_fingerprint": "sha256:42b05246e2059475ba7fbd3a73b93751504c15c9fa6aa872edc411b0e08877ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000477", "prompt": "Compute: -1 / (2 * (-90 + 33))", "solution_steps": ["Add: -90 + 33 = -57", "Multiply: 2 * (-57) = -114", "Divide: -1 / (-114) = 1/114"], "final_answer": "1/114", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (2 * (-90 + 33))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 2, \"c\": -90, \"d\": 33}", "seed": "13833875901961705152", "semantic_fingerprint": "sha256:94bf2aaaa6323f296e1dee00a38c01d17aa79064a44e41d4af579c040b3f49e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000478", "prompt": "Compute: 497 / (-9) / (575 / (22 + 25 - 494))", "solution_steps": ["Divide: 497 / (-9) = -497/9", "Add: 22 + 25 = 47", "Subtract: 47 - 494 = -447", "Divide: 575 / (-447) = -575/447", "Divide: (-497/9) / (-575/447) = 74053/1725"], "final_answer": "74053/1725", "answer_type": "rational", "kind": "expression", "math_text": "497 / (-9) / (575 / (22 + 25 - 494))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (/ n (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 497, \"b\": -9, \"c\": 575, \"d\": 22, \"e\": 25, \"f\": 494}", "seed": "11971835474333529652", "semantic_fingerprint": "sha256:0b3127223b605caebd9558598861d094832b278d0686e8b561bdcb636f85fd59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000479", "prompt": "Evaluate: 517 / (-652 / 1) + (-76)", "solution_steps": ["Divide: -652 / 1 = -652", "Divide: 517 / (-652) = -517/652", "Add: -517/652 + (-76) = -50069/652"], "final_answer": "-50069/652", "answer_type": "rational", "kind": "expression", "math_text": "517 / (-652 / 1) + (-76)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 517, \"b\": -652, \"c\": 1, \"d\": -76}", "seed": "9918872061686064459", "semantic_fingerprint": "sha256:cdcff2d38e0ba90d88fbf49e5eff854ea227a0269a595de44ad0e169141ac10e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000480", "prompt": "Find x: 7(x - 1) - 27 = x + 3", "solution_steps": ["Expand: 7x - 7 - 27 = x + 3", "Combine constants: 7x - 34 = x + 3", "Subtract x from both sides: 6x - 34 = 3", "Add 34 to both sides: 6x = 37", "Divide both sides by 6: x = 37/6"], "final_answer": "37/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 1) - 27 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 27, \"d\": 3}", "seed": "5695346226290216154", "semantic_fingerprint": "sha256:a63075f3b50ccc600f4dbd78f67b32dfd51848b2852f18478722f622dd549723", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000481", "prompt": "Evaluate: -88 / 7 * (-4 / 57)", "solution_steps": ["Divide: -88 / 7 = -88/7", "Divide: -4 / 57 = -4/57", "Multiply: (-88/7) * (-4/57) = 352/399"], "final_answer": "352/399", "answer_type": "rational", "kind": "expression", "math_text": "-88 / 7 * (-4 / 57)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 7, \"c\": -4, \"d\": 57}", "seed": "515931217472482661", "semantic_fingerprint": "sha256:ab3cab16031472faa100e0fb1eb6935240088b25d3c139d094e255bad1c86601", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000482", "prompt": "Compute: 675 / 84 + (-430 - (-6 - 559))", "solution_steps": ["Divide: 675 / 84 = 225/28", "Subtract: -6 - 559 = -565", "Subtract: -430 - (-565) = 135", "Add: 225/28 + 135 = 4005/28"], "final_answer": "4005/28", "answer_type": "rational", "kind": "expression", "math_text": "675 / 84 + (-430 - (-6 - 559))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 675, \"b\": 84, \"c\": -430, \"d\": -6, \"e\": 559}", "seed": "8614640154735209977", "semantic_fingerprint": "sha256:e35a47e35d887350af8da26e9be4c3aac610b9bfeddaa82d2190f53e5ca8eed4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000483", "prompt": "Solve the equation 7(x + 25) + 5 = x + 102 for x.", "solution_steps": ["Expand: 7x + 175 + 5 = x + 102", "Combine constants: 7x + 180 = x + 102", "Subtract x from both sides: 6x + 180 = 102", "Subtract 180 from both sides: 6x = -78", "Divide both sides by 6: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 25) + 5 = x + 102", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 25, \"c\": 5, \"e\": 102, \"x\": -13}", "seed": "4580252149513879306", "semantic_fingerprint": "sha256:2b8be2dcbe2155f3db5ed998a994c5726c78d79a0ed9cc6a990ba8e0a11d2a94", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000484", "prompt": "Solve the equation 4(x + 18) - 78 = x + 21 for x.", "solution_steps": ["Expand: 4x + 72 - 78 = x + 21", "Combine constants: 4x - 6 = x + 21", "Subtract x from both sides: 3x - 6 = 21", "Add 6 to both sides: 3x = 27", "Divide both sides by 3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 18) - 78 = x + 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 18, \"c\": 78, \"e\": 21, \"x\": 9}", "seed": "18268177063632537918", "semantic_fingerprint": "sha256:f5747b4809635d349555f21020ff5f48e105229f6d63c17298aecd6ffb779063", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000485", "prompt": "Compute: (-110 + 751) / (172 + (-88))", "solution_steps": ["Add: -110 + 751 = 641", "Add: 172 + (-88) = 84", "Divide: 641 / 84 = 641/84"], "final_answer": "641/84", "answer_type": "rational", "kind": "expression", "math_text": "(-110 + 751) / (172 + (-88))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -110, \"b\": 751, \"c\": 172, \"d\": -88}", "seed": "13854097359389365866", "semantic_fingerprint": "sha256:678f1badc2f6a64cdd5eef6e7e1dd452f1dfbfd78d1441202ee576f24645ca16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000486", "prompt": "Evaluate: -1 / (-214 * 3 + (9 - (-1)))", "solution_steps": ["Multiply: -214 * 3 = -642", "Subtract: 9 - (-1) = 10", "Add: -642 + 10 = -632", "Divide: -1 / (-632) = 1/632"], "final_answer": "1/632", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-214 * 3 + (9 - (-1)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -214, \"c\": 3, \"d\": 9, \"e\": -1}", "seed": "9341612482939157778", "semantic_fingerprint": "sha256:6a43b9843f6b1f4a52247eff01fd42803bab0db909746576fc62200b5373f170", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000487", "prompt": "Solve the equation -11(x - 7) + 194 = 7(x + 31) for x.", "solution_steps": ["Expand: -11x + 77 + 194 = 7(x + 31)", "Expand: -11x + 77 + 194 = 7x + 217", "Combine constants: -11x + 271 = 7x + 217", "Subtract 7x from both sides: -18x + 271 = 217", "Subtract 271 from both sides: -18x = -54", "Divide both sides by -18: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 7) + 194 = 7(x + 31)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 7, \"d\": 31, \"f\": 194, \"x\": 3}", "seed": "1481467548271208115", "semantic_fingerprint": "sha256:093d528943ed0edb577bb91c761cdee3a116fe2466e8f6667fdab63bf59fa70d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000488", "prompt": "Find x: 8x - 162 = 6x - 162", "solution_steps": ["Subtract 6x from both sides: 2x - 162 = -162", "Add 162 to both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 162 = 6x - 162", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 162, \"c\": 6, \"e\": -162, \"x\": 0}", "seed": "6316897547980268721", "semantic_fingerprint": "sha256:14629f473510d5d59d61d747d80ac20674a6b2ab45af5c3397cadf5f6f699e2f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000489", "prompt": "Evaluate: 51 * 9 + (9 - (-23))", "solution_steps": ["Multiply: 51 * 9 = 459", "Subtract: 9 - (-23) = 32", "Add: 459 + 32 = 491"], "final_answer": "491", "answer_type": "integer", "kind": "expression", "math_text": "51 * 9 + (9 - (-23))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 9, \"c\": 9, \"d\": -23}", "seed": "17592146230334213338", "semantic_fingerprint": "sha256:6a465a210a682138ed23ecc10e54d5aa10b30082d260a8f1cfee94f36bec9070", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000490", "prompt": "Compute: 2 / 5 * (67 / (-840))", "solution_steps": ["Divide: 2 / 5 = 2/5", "Divide: 67 / (-840) = -67/840", "Multiply: (2/5) * (-67/840) = -67/2100"], "final_answer": "-67/2100", "answer_type": "rational", "kind": "expression", "math_text": "2 / 5 * (67 / (-840))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 67, \"d\": -840}", "seed": "6192809474010676099", "semantic_fingerprint": "sha256:8c45a448cb4306f11359bc7f6f1d3818562f37da2dc06328acd77fbc68202a24", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000491", "prompt": "Solve for x: 11x - 48 = -3(x - 7)", "solution_steps": ["Expand: 11x - 48 = -3x + 21", "Add 3x to both sides: 14x - 48 = 21", "Add 48 to both sides: 14x = 69", "Divide both sides by 14: x = 69/14"], "final_answer": "69/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 48 = -3(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 48, \"c\": -3, \"d\": 7}", "seed": "5831569731047023516", "semantic_fingerprint": "sha256:75ca5f8cf42e964f1771fcc3dad8a669bfc7807fc108813d8047ed80fc9fa8ec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000492", "prompt": "Evaluate: -59 + (-87 + (-61)) * (-2) * (72 + 5)", "solution_steps": ["Add: -87 + (-61) = -148", "Multiply: -148 * (-2) = 296", "Add: 72 + 5 = 77", "Multiply: 296 * 77 = 22792", "Add: -59 + 22792 = 22733"], "final_answer": "22733", "answer_type": "integer", "kind": "expression", "math_text": "-59 + (-87 + (-61)) * (-2) * (72 + 5)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (* (+ n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -87, \"c\": -61, \"d\": -2, \"e\": 72, \"f\": 5}", "seed": "16070316344949603839", "semantic_fingerprint": "sha256:f80deb5c5d13013cdb4953b6c55d74c15f65ea2e440695be475da7b639dd68a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000493", "prompt": "Compute: -723 * (-68) + (-152 - (-96))", "solution_steps": ["Multiply: -723 * (-68) = 49164", "Subtract: -152 - (-96) = -56", "Add: 49164 + (-56) = 49108"], "final_answer": "49108", "answer_type": "integer", "kind": "expression", "math_text": "-723 * (-68) + (-152 - (-96))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -723, \"b\": -68, \"c\": -152, \"d\": -96}", "seed": "3645924478359393531", "semantic_fingerprint": "sha256:5cef15b1c56032a6e615c634edd5356370f9c2d00df3d7db36c3776d5a08b373", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000494", "prompt": "Solve the equation 5x = 7(x + 27) - 149 for x.", "solution_steps": ["Expand: 5x = 7x + 189 - 149", "Combine constants: 5x = 7x + 40", "Subtract 7x from both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 7(x + 27) - 149", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 27, \"e\": -149, \"x\": -20}", "seed": "16945462570609676585", "semantic_fingerprint": "sha256:adbd344ff514a4df0695b0ae91617e4f3ba7f9de3e38941a47927ac67b8128a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000495", "prompt": "Find x: -6x - 77 = -7x - 95", "solution_steps": ["Add 7x to both sides: x - 77 = -95", "Add 77 to both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 77 = -7x - 95", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 77, \"c\": -7, \"d\": 95}", "seed": "2351609641823162833", "semantic_fingerprint": "sha256:47eaad6c3aabce4eb3eb0199e84a4505224726bf2e1b78377823085c8872b642", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000496", "prompt": "Calculate: 63 - (-22) / (-6) + (-69) - (-901)", "solution_steps": ["Divide: -22 / (-6) = 11/3", "Subtract: 63 - 11/3 = 178/3", "Add: 178/3 + (-69) = -29/3", "Subtract: -29/3 - (-901) = 2674/3"], "final_answer": "2674/3", "answer_type": "rational", "kind": "expression", "math_text": "63 - (-22) / (-6) + (-69) - (-901)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -22, \"c\": -6, \"d\": -69, \"e\": -901}", "seed": "10803395669466042923", "semantic_fingerprint": "sha256:bf8d1ddfc8fcb07cfacd31b379ec19e1ca7a36f5d8c24ec7fc268c65e7354880", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000497", "prompt": "Calculate: 3 / (-6 / (11 / (-1)) + (8 + (-44)))", "solution_steps": ["Divide: 11 / (-1) = -11", "Divide: -6 / (-11) = 6/11", "Add: 8 + (-44) = -36", "Add: 6/11 + (-36) = -390/11", "Divide: 3 / (-390/11) = -11/130"], "final_answer": "-11/130", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-6 / (11 / (-1)) + (8 + (-44)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (/ n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6, \"c\": 11, \"d\": -1, \"e\": 8, \"f\": -44}", "seed": "9228445785155251793", "semantic_fingerprint": "sha256:43017cf7861e9493e39e1daa691e90c24fe80dc60ea2ad6ef5188746752d91db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000498", "prompt": "Solve for x: -10x = 5(x + 2) + 99", "solution_steps": ["Expand: -10x = 5x + 10 + 99", "Combine constants: -10x = 5x + 109", "Subtract 5x from both sides: -15x = 109", "Divide both sides by -15: x = -109/15"], "final_answer": "-109/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x = 5(x + 2) + 99", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 2, \"d\": 99}", "seed": "3123025447735723860", "semantic_fingerprint": "sha256:c73903b48627e398c78aa44d9672524d48f0e4b214c3f0c3568461a483232953", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000499", "prompt": "Compute: -86 * (-24 * 468) + (-96)", "solution_steps": ["Multiply: -24 * 468 = -11232", "Multiply: -86 * (-11232) = 965952", "Add: 965952 + (-96) = 965856"], "final_answer": "965856", "answer_type": "integer", "kind": "expression", "math_text": "-86 * (-24 * 468) + (-96)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -24, \"c\": 468, \"d\": -96}", "seed": "6172027694341306913", "semantic_fingerprint": "sha256:7139b21d6c29297fe0d7d694bef5510b2c8f23cbdc8d3cb527b494272fec7a4b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000500", "prompt": "Evaluate: -360 + (-754 - (-39 + 409))", "solution_steps": ["Add: -39 + 409 = 370", "Subtract: -754 - 370 = -1124", "Add: -360 + (-1124) = -1484"], "final_answer": "-1484", "answer_type": "integer", "kind": "expression", "math_text": "-360 + (-754 - (-39 + 409))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -360, \"b\": -754, \"c\": -39, \"d\": 409}", "seed": "16677693839273486978", "semantic_fingerprint": "sha256:d63d5272aee749356fa20f09b69ce47c03dc5c87be97aac612259e3b68074645", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000501", "prompt": "What value of x satisfies -3x - 88 = 4x - 96?", "solution_steps": ["Subtract 4x from both sides: -7x - 88 = -96", "Add 88 to both sides: -7x = -8", "Divide both sides by -7: x = 8/7"], "final_answer": "8/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 88 = 4x - 96", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 88, \"c\": 4, \"d\": 96}", "seed": "1861971337876962519", "semantic_fingerprint": "sha256:83300ea1ac4e9f22523f0b453c28abe93acbf97150d198285a0aaa8e55193c7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000502", "prompt": "Find x: 7(x + 12) = -4(x - 4) + 156", "solution_steps": ["Expand: 7x + 84 = -4(x - 4) + 156", "Expand: 7x + 84 = -4x + 16 + 156", "Combine constants: 7x + 84 = -4x + 172", "Add 4x to both sides: 11x + 84 = 172", "Subtract 84 from both sides: 11x = 88", "Divide both sides by 11: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 12) = -4(x - 4) + 156", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": -4, \"d\": 4, \"f\": 156, \"x\": 8}", "seed": "2807619335708860512", "semantic_fingerprint": "sha256:0a154b8f7d26d67f6db6409f91fc904f2cad57c03b1b32eeb308d07a0f7baffb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000503", "prompt": "Compute: -9 * (64 + 0) + 55 / (2 + (-67))", "solution_steps": ["Add: 64 + 0 = 64", "Multiply: -9 * 64 = -576", "Add: 2 + (-67) = -65", "Divide: 55 / (-65) = -11/13", "Add: -576 + (-11/13) = -7499/13"], "final_answer": "-7499/13", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (64 + 0) + 55 / (2 + (-67))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 64, \"c\": 0, \"d\": 55, \"e\": 2, \"f\": -67}", "seed": "5559602271579870264", "semantic_fingerprint": "sha256:ded2f3bfbd152a9e3f2762b3b0151b07326d3530d80d61b5b5ce2f9cf117a90f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000504", "prompt": "Find x: -7x - 6 = 2x - 33", "solution_steps": ["Subtract 2x from both sides: -9x - 6 = -33", "Add 6 to both sides: -9x = -27", "Divide both sides by -9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 6 = 2x - 33", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 2, \"e\": -33, \"x\": 3}", "seed": "16714059934201111263", "semantic_fingerprint": "sha256:867370e44cfcf7c5fb5c7883269b16eeb11be275bb5ecd6541f47ce51edc2dc2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000505", "prompt": "Solve the equation 4x - 981 = 10x - 999 for x.", "solution_steps": ["Subtract 10x from both sides: -6x - 981 = -999", "Add 981 to both sides: -6x = -18", "Divide both sides by -6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 981 = 10x - 999", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 981, \"c\": 10, \"e\": -999, \"x\": 3}", "seed": "17349821570468604896", "semantic_fingerprint": "sha256:02beedd91d59c986bebe394ca7d39edf1f3a2d69c2a5bd8b7487844ad6842a2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000506", "prompt": "What is (3 + 899) / (-4 + 1)?", "solution_steps": ["Add: 3 + 899 = 902", "Add: -4 + 1 = -3", "Divide: 902 / (-3) = -902/3"], "final_answer": "-902/3", "answer_type": "rational", "kind": "expression", "math_text": "(3 + 899) / (-4 + 1)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 899, \"c\": -4, \"d\": 1}", "seed": "11549196664745012659", "semantic_fingerprint": "sha256:97602a6547e7dfdfb2ba350b6bd89200cabcd92998906398ad9f22faed56daae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000507", "prompt": "What is -9 * (-54) + (-43) * (-17) - 137?", "solution_steps": ["Multiply: -9 * (-54) = 486", "Multiply: -43 * (-17) = 731", "Add: 486 + 731 = 1217", "Subtract: 1217 - 137 = 1080"], "final_answer": "1080", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-54) + (-43) * (-17) - 137", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -54, \"c\": -43, \"d\": -17, \"e\": 137}", "seed": "16607979744456932506", "semantic_fingerprint": "sha256:eaa1d7d01d0e0b4cd646181d22e0ab5f9185ddc63d33901aadd9488396600b39", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000508", "prompt": "Compute: 0 + (8 + (-3)) / (993 * (-6)) * (-144)", "solution_steps": ["Add: 8 + (-3) = 5", "Multiply: 993 * (-6) = -5958", "Divide: 5 / (-5958) = -5/5958", "Multiply: (-5/5958) * (-144) = 40/331", "Add: 0 + 40/331 = 40/331"], "final_answer": "40/331", "answer_type": "rational", "kind": "expression", "math_text": "0 + (8 + (-3)) / (993 * (-6)) * (-144)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (/ (+ n n) (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": -3, \"d\": 993, \"e\": -6, \"f\": -144}", "seed": "16950026686209323210", "semantic_fingerprint": "sha256:b3ce94e84b24d71c21b6a676fefab0c9337185179ab8bd08cb304f6d93a2f2ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000509", "prompt": "Find x: 8(x - 4) + 288 = -12(x + 2)", "solution_steps": ["Expand: 8x - 32 + 288 = -12(x + 2)", "Expand: 8x - 32 + 288 = -12x - 24", "Combine constants: 8x + 256 = -12x - 24", "Add 12x to both sides: 20x + 256 = -24", "Subtract 256 from both sides: 20x = -280", "Divide both sides by 20: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 4) + 288 = -12(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": -12, \"d\": 2, \"f\": 288, \"x\": -14}", "seed": "16242857705420401795", "semantic_fingerprint": "sha256:9838b778f3ae32aa5a3935a53ab0e29f68218e134661079a351898ad991d1547", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000510", "prompt": "Solve for x: 6x - 3 = -5x - 223", "solution_steps": ["Add 5x to both sides: 11x - 3 = -223", "Add 3 to both sides: 11x = -220", "Divide both sides by 11: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 3 = -5x - 223", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": -5, \"e\": -223, \"x\": -20}", "seed": "14449227179459069666", "semantic_fingerprint": "sha256:78c4b3eeeaa7e82b24943520cba7e449454f84593fbe1039b39235679037ce59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000511", "prompt": "Calculate: -270 - 99 / (-13) - (-35)", "solution_steps": ["Divide: 99 / (-13) = -99/13", "Subtract: -270 - (-99/13) = -3411/13", "Subtract: -3411/13 - (-35) = -2956/13"], "final_answer": "-2956/13", "answer_type": "rational", "kind": "expression", "math_text": "-270 - 99 / (-13) - (-35)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -270, \"b\": 99, \"c\": -13, \"d\": -35}", "seed": "12616921049469044969", "semantic_fingerprint": "sha256:7f68164ae592415130842fad2ce1e9b00ce723b300b096c22768638590d5eb01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000512", "prompt": "Solve the equation 4(x + 4) + 863 = x + 834 for x.", "solution_steps": ["Expand: 4x + 16 + 863 = x + 834", "Combine constants: 4x + 879 = x + 834", "Subtract x from both sides: 3x + 879 = 834", "Subtract 879 from both sides: 3x = -45", "Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 4) + 863 = x + 834", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 863, \"e\": 834, \"x\": -15}", "seed": "3166141681517989480", "semantic_fingerprint": "sha256:006aa7e6410336bacb10795f54aeeb8f1ba532f3c013fb7b4fd08ac0c533eb19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000513", "prompt": "What is (-821 + (-6) - (2 - (-94))) / (-84)?", "solution_steps": ["Add: -821 + (-6) = -827", "Subtract: 2 - (-94) = 96", "Subtract: -827 - 96 = -923", "Divide: -923 / (-84) = 923/84"], "final_answer": "923/84", "answer_type": "rational", "kind": "expression", "math_text": "(-821 + (-6) - (2 - (-94))) / (-84)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -821, \"b\": -6, \"c\": 2, \"d\": -94, \"e\": -84}", "seed": "8922940181810688368", "semantic_fingerprint": "sha256:dfa4966bb911676282fbcedaaee8d3ffdde71c72012be4561047eee6cf88591e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000514", "prompt": "Evaluate: -45 + (88 / (27 * 29) - 90)", "solution_steps": ["Multiply: 27 * 29 = 783", "Divide: 88 / 783 = 88/783", "Subtract: 88/783 - 90 = -70382/783", "Add: -45 + (-70382/783) = -105617/783"], "final_answer": "-105617/783", "answer_type": "rational", "kind": "expression", "math_text": "-45 + (88 / (27 * 29) - 90)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 88, \"c\": 27, \"d\": 29, \"e\": 90}", "seed": "9982071596062803477", "semantic_fingerprint": "sha256:8781da32e7cfd5965bd1319be8638aa73e19d4056657fc5d0a9187f8c812184a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000515", "prompt": "Evaluate: 749 / (-83 + 4) - 521 / (-14)", "solution_steps": ["Add: -83 + 4 = -79", "Divide: 749 / (-79) = -749/79", "Divide: 521 / (-14) = -521/14", "Subtract: -749/79 - (-521/14) = 30673/1106"], "final_answer": "30673/1106", "answer_type": "rational", "kind": "expression", "math_text": "749 / (-83 + 4) - 521 / (-14)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 749, \"b\": -83, \"c\": 4, \"d\": 521, \"e\": -14}", "seed": "1330567744765810277", "semantic_fingerprint": "sha256:7e3dfa4e4b9cdef17af11d656fa47e2c0a98960ecfaecc648571b4100c79d61a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000516", "prompt": "Compute: -2 + (-2 - (-47 - (-3) - (-8)))", "solution_steps": ["Subtract: -47 - (-3) = -44", "Subtract: -44 - (-8) = -36", "Subtract: -2 - (-36) = 34", "Add: -2 + 34 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-2 - (-47 - (-3) - (-8)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": -47, \"d\": -3, \"e\": -8}", "seed": "17740403515398947996", "semantic_fingerprint": "sha256:a51f9700ee46955cf0ef99abb20f865b4f751ca9c023af3d80c1ed1f3314a663", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000517", "prompt": "What value of x satisfies 9x - 22 = 5(x - 61)?", "solution_steps": ["Expand: 9x - 22 = 5x - 305", "Subtract 5x from both sides: 4x - 22 = -305", "Add 22 to both sides: 4x = -283", "Divide both sides by 4: x = -283/4"], "final_answer": "-283/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 22 = 5(x - 61)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 22, \"c\": 5, \"d\": 61}", "seed": "1869751002947379547", "semantic_fingerprint": "sha256:6961671cc11cb72206d0ef3263b9e09a7ed10a1b632ba07440aec28517f09e23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000518", "prompt": "Find x: -4(x + 33) + 13 = x + 35", "solution_steps": ["Expand: -4x - 132 + 13 = x + 35", "Combine constants: -4x - 119 = x + 35", "Subtract x from both sides: -5x - 119 = 35", "Add 119 to both sides: -5x = 154", "Divide both sides by -5: x = -154/5"], "final_answer": "-154/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 33) + 13 = x + 35", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 33, \"c\": 13, \"d\": 35}", "seed": "11397774208261722300", "semantic_fingerprint": "sha256:41b13fdf7774ad0bd253959cb5ec6fb0e5a58d9dcd69ce11bcc80b09aca9b7ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000519", "prompt": "What is -6 + 5 / (78 + (-51) + (-7))?", "solution_steps": ["Add: 78 + (-51) = 27", "Add: 27 + (-7) = 20", "Divide: 5 / 20 = 1/4", "Add: -6 + 1/4 = -23/4"], "final_answer": "-23/4", "answer_type": "rational", "kind": "expression", "math_text": "-6 + 5 / (78 + (-51) + (-7))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": 78, \"d\": -51, \"e\": -7}", "seed": "1465154768801855392", "semantic_fingerprint": "sha256:69e7e6d89c8a5b5edb26a621f5155d8a4394f326817753ef330a306ac3d40534", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000520", "prompt": "Solve for x: 12x = 4(x + 4) + 8", "solution_steps": ["Expand: 12x = 4x + 16 + 8", "Combine constants: 12x = 4x + 24", "Subtract 4x from both sides: 8x = 24", "Divide both sides by 8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 4(x + 4) + 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 4, \"e\": 8, \"x\": 3}", "seed": "17387378963485180977", "semantic_fingerprint": "sha256:1d83b44c5724cf4a9b0deafd99537387f09132e1f51b36784b0a616efe01faed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000521", "prompt": "What is 590 * 454 + (75 - (-6))?", "solution_steps": ["Multiply: 590 * 454 = 267860", "Subtract: 75 - (-6) = 81", "Add: 267860 + 81 = 267941"], "final_answer": "267941", "answer_type": "integer", "kind": "expression", "math_text": "590 * 454 + (75 - (-6))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 590, \"b\": 454, \"c\": 75, \"d\": -6}", "seed": "5637006399352616504", "semantic_fingerprint": "sha256:2b676afb00fa6ec3cc6a59ca6957d108b5ebc134600f0915e66a3c04b9d024a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000522", "prompt": "Calculate: (-525 + 3) / (-967) + 953", "solution_steps": ["Add: -525 + 3 = -522", "Divide: -522 / (-967) = 522/967", "Add: 522/967 + 953 = 922073/967"], "final_answer": "922073/967", "answer_type": "rational", "kind": "expression", "math_text": "(-525 + 3) / (-967) + 953", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -525, \"b\": 3, \"c\": -967, \"d\": 953}", "seed": "11983862901131269361", "semantic_fingerprint": "sha256:4a64a9716601c5be786463ca333725e3854d77ae1411203f7e05b49d71b65fd9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000523", "prompt": "Find x: 2(x + 4) = -3(x - 8) + 4", "solution_steps": ["Expand: 2x + 8 = -3(x - 8) + 4", "Expand: 2x + 8 = -3x + 24 + 4", "Combine constants: 2x + 8 = -3x + 28", "Add 3x to both sides: 5x + 8 = 28", "Subtract 8 from both sides: 5x = 20", "Divide both sides by 5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 4) = -3(x - 8) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": -3, \"d\": 8, \"f\": 4, \"x\": 4}", "seed": "3284338407322748513", "semantic_fingerprint": "sha256:05ffda5b8b9e08efd983a2768c4f8117d6441f1d860e70ccb4af56c30189583b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000524", "prompt": "Solve for x: -11(x + 1) + 96 = x + 1", "solution_steps": ["Expand: -11x - 11 + 96 = x + 1", "Combine constants: -11x + 85 = x + 1", "Subtract x from both sides: -12x + 85 = 1", "Subtract 85 from both sides: -12x = -84", "Divide both sides by -12: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 1) + 96 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"c\": 96, \"e\": 1, \"x\": 7}", "seed": "17809755478955392975", "semantic_fingerprint": "sha256:2423284d6c358293856b2d7f9cdf4f46755d9bf691df5af1b293d8c7ef5527bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000525", "prompt": "Find x: 10x = 2(x + 63) - 182", "solution_steps": ["Expand: 10x = 2x + 126 - 182", "Combine constants: 10x = 2x - 56", "Subtract 2x from both sides: 8x = -56", "Divide both sides by 8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 2(x + 63) - 182", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 63, \"e\": -182, \"x\": -7}", "seed": "9446642018755215131", "semantic_fingerprint": "sha256:5d0f5cac4ac999fb9f1fa0bc7704c0ab8189f6067107e441cf9155ec800a5bf0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000526", "prompt": "Calculate: 24 - (-630 / (-2 * 4) - 1)", "solution_steps": ["Multiply: -2 * 4 = -8", "Divide: -630 / (-8) = 315/4", "Subtract: 315/4 - 1 = 311/4", "Subtract: 24 - 311/4 = -215/4"], "final_answer": "-215/4", "answer_type": "rational", "kind": "expression", "math_text": "24 - (-630 / (-2 * 4) - 1)", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -630, \"c\": -2, \"d\": 4, \"e\": 1}", "seed": "8527478547543208467", "semantic_fingerprint": "sha256:cd2dc805629b0eac54c92a5cec816c5559f0d020a84e9b12d05e34f96453ab29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000527", "prompt": "Compute: 275 * 9 + (-27) * 98", "solution_steps": ["Multiply: 275 * 9 = 2475", "Multiply: -27 * 98 = -2646", "Add: 2475 + (-2646) = -171"], "final_answer": "-171", "answer_type": "integer", "kind": "expression", "math_text": "275 * 9 + (-27) * 98", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 275, \"b\": 9, \"c\": -27, \"d\": 98}", "seed": "18439191227766504865", "semantic_fingerprint": "sha256:535118e964f41ac4df26fefa11ac0013ea940767f9f89715f917b615f4931d8a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000528", "prompt": "Compute: -99 - 4 / 24 + 36 - 1", "solution_steps": ["Divide: 4 / 24 = 1/6", "Subtract: -99 - 1/6 = -595/6", "Add: -595/6 + 36 = -379/6", "Subtract: -379/6 - 1 = -385/6"], "final_answer": "-385/6", "answer_type": "rational", "kind": "expression", "math_text": "-99 - 4 / 24 + 36 - 1", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 4, \"c\": 24, \"d\": 36, \"e\": 1}", "seed": "9949089645663226367", "semantic_fingerprint": "sha256:11aa434e8575ad189a443071f0265cee924ccc709ef5d771960b1ace6720e2b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000529", "prompt": "Find x: 7x - 35 = -6(x - 31)", "solution_steps": ["Expand: 7x - 35 = -6x + 186", "Add 6x to both sides: 13x - 35 = 186", "Add 35 to both sides: 13x = 221", "Divide both sides by 13: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 35 = -6(x - 31)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -6, \"c\": 31, \"e\": -35, \"x\": 17}", "seed": "2767362172874747042", "semantic_fingerprint": "sha256:49a7702ba4f49131b88e6730433ddf1e549504fb6c6ad9f761c29e8bc69c78c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000530", "prompt": "Evaluate: -7 - (611 - (-873)) - (-49 + 42)", "solution_steps": ["Subtract: 611 - (-873) = 1484", "Subtract: -7 - 1484 = -1491", "Add: -49 + 42 = -7", "Subtract: -1491 - (-7) = -1484"], "final_answer": "-1484", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (611 - (-873)) - (-49 + 42)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 611, \"c\": -873, \"d\": -49, \"e\": 42}", "seed": "15194685591702724710", "semantic_fingerprint": "sha256:0b85963ea8aaa291b60d4cb1622d034dc17a2b2e279694afe3079ff8c71361d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000531", "prompt": "Find x: -12x - 282 = 3(x - 9)", "solution_steps": ["Expand: -12x - 282 = 3x - 27", "Subtract 3x from both sides: -15x - 282 = -27", "Add 282 to both sides: -15x = 255", "Divide both sides by -15: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 282 = 3(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 9, \"e\": -282, \"x\": -17}", "seed": "2146386309219742213", "semantic_fingerprint": "sha256:d35f08ffc22173bd93ad439be9a74987d6850b33d680464c8daae862da364bd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000532", "prompt": "Evaluate: 229 * (-5) - (47 + 9) * (7 * (-1))", "solution_steps": ["Multiply: 229 * (-5) = -1145", "Add: 47 + 9 = 56", "Multiply: 7 * (-1) = -7", "Multiply: 56 * (-7) = -392", "Subtract: -1145 - (-392) = -753"], "final_answer": "-753", "answer_type": "integer", "kind": "expression", "math_text": "229 * (-5) - (47 + 9) * (7 * (-1))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 229, \"b\": -5, \"c\": 47, \"d\": 9, \"e\": 7, \"f\": -1}", "seed": "5050595614863718567", "semantic_fingerprint": "sha256:ff56d94ab09a03e9c7985e37929f187545ddcbf41bb9c6ae0b9e6d8ce3bf6250", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000533", "prompt": "Solve for x: 7x = 10(x + 64) - 643", "solution_steps": ["Expand: 7x = 10x + 640 - 643", "Combine constants: 7x = 10x - 3", "Subtract 10x from both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 10(x + 64) - 643", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 64, \"e\": -643, \"x\": 1}", "seed": "939480523166117577", "semantic_fingerprint": "sha256:1fb6a9b7235466366a21c43b82de79c084119631f1be0f6fa89657adbad56b12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000534", "prompt": "What is -36 / 87 * (151 / (-51))?", "solution_steps": ["Divide: -36 / 87 = -12/29", "Divide: 151 / (-51) = -151/51", "Multiply: (-12/29) * (-151/51) = 604/493"], "final_answer": "604/493", "answer_type": "rational", "kind": "expression", "math_text": "-36 / 87 * (151 / (-51))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 87, \"c\": 151, \"d\": -51}", "seed": "13326226486478184493", "semantic_fingerprint": "sha256:eb1171e2f8656e71859c8f14984cef718c28354e0cfd0107b6612f3d567ef491", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000535", "prompt": "Compute: (-1 + (-6 * (-75) + 30)) * 8", "solution_steps": ["Multiply: -6 * (-75) = 450", "Add: 450 + 30 = 480", "Add: -1 + 480 = 479", "Multiply: 479 * 8 = 3832"], "final_answer": "3832", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + (-6 * (-75) + 30)) * 8", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -6, \"c\": -75, \"d\": 30, \"e\": 8}", "seed": "16065602493380884761", "semantic_fingerprint": "sha256:c6dfaf6b70e14e7a1eff70442096caa47a34d23e72d8656d044798c7d957892f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000536", "prompt": "Compute: -527 * (-55) - (305 - (4 + (-51) - 440))", "solution_steps": ["Multiply: -527 * (-55) = 28985", "Add: 4 + (-51) = -47", "Subtract: -47 - 440 = -487", "Subtract: 305 - (-487) = 792", "Subtract: 28985 - 792 = 28193"], "final_answer": "28193", "answer_type": "integer", "kind": "expression", "math_text": "-527 * (-55) - (305 - (4 + (-51) - 440))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- n (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -527, \"b\": -55, \"c\": 305, \"d\": 4, \"e\": -51, \"f\": 440}", "seed": "6787983772282147882", "semantic_fingerprint": "sha256:ad8138c5b60695e3c1a8e1e0be6920427fa5f9af5afcdee636fad1cdfca4d50b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000537", "prompt": "What value of x satisfies 12x - 331 = 7(x - 38)?", "solution_steps": ["Expand: 12x - 331 = 7x - 266", "Subtract 7x from both sides: 5x - 331 = -266", "Add 331 to both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 331 = 7(x - 38)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 38, \"e\": -331, \"x\": 13}", "seed": "17504979381971527303", "semantic_fingerprint": "sha256:427843cc019286a5231302f527b11c14b81544440dfe5642b8e1c7a7b2f294d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000538", "prompt": "Evaluate: -972 + (-305 - (-82 + 0))", "solution_steps": ["Add: -82 + 0 = -82", "Subtract: -305 - (-82) = -223", "Add: -972 + (-223) = -1195"], "final_answer": "-1195", "answer_type": "integer", "kind": "expression", "math_text": "-972 + (-305 - (-82 + 0))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -972, \"b\": -305, \"c\": -82, \"d\": 0}", "seed": "14612854368390056524", "semantic_fingerprint": "sha256:d405d2f0df781c87a29623ee9ad310b3bc4a2e3200448eabec24eba1ccf3db20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000539", "prompt": "What value of x satisfies 2(x + 84) + 50 = x + 225?", "solution_steps": ["Expand: 2x + 168 + 50 = x + 225", "Combine constants: 2x + 218 = x + 225", "Subtract x from both sides: x + 218 = 225", "Subtract 218 from both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 84) + 50 = x + 225", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 84, \"c\": 50, \"e\": 225, \"x\": 7}", "seed": "7024039778692726142", "semantic_fingerprint": "sha256:4a437d6e2a0bbd27f5cf40a0ed01eb06b1e3ffb1d8d9fafa5baff7b052bb2211", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000540", "prompt": "Compute: -1 + 3 / (-6) - (-56 - (8 + 1))", "solution_steps": ["Divide: 3 / (-6) = -1/2", "Add: -1 + (-1/2) = -3/2", "Add: 8 + 1 = 9", "Subtract: -56 - 9 = -65", "Subtract: -3/2 - (-65) = 127/2"], "final_answer": "127/2", "answer_type": "rational", "kind": "expression", "math_text": "-1 + 3 / (-6) - (-56 - (8 + 1))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 3, \"c\": -6, \"d\": -56, \"e\": 8, \"f\": 1}", "seed": "3421938298565436638", "semantic_fingerprint": "sha256:6ce3a3e271f1bad493c3ed4f0d5ff4fbc79e41d0acc63959780995466c4a5184", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000541", "prompt": "What is 73 / (180 - (-83)) + (158 - 15)?", "solution_steps": ["Subtract: 180 - (-83) = 263", "Divide: 73 / 263 = 73/263", "Subtract: 158 - 15 = 143", "Add: 73/263 + 143 = 37682/263"], "final_answer": "37682/263", "answer_type": "rational", "kind": "expression", "math_text": "73 / (180 - (-83)) + (158 - 15)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 180, \"c\": -83, \"d\": 158, \"e\": 15}", "seed": "17914745777914999082", "semantic_fingerprint": "sha256:f24f1c713361d367b8ccc434c0f047e2e3ab85fe6604e3bbd6fff3aa477c0253", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000542", "prompt": "Evaluate: -95 * 6 + (-9) * 5", "solution_steps": ["Multiply: -95 * 6 = -570", "Multiply: -9 * 5 = -45", "Add: -570 + (-45) = -615"], "final_answer": "-615", "answer_type": "integer", "kind": "expression", "math_text": "-95 * 6 + (-9) * 5", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 6, \"c\": -9, \"d\": 5}", "seed": "6278861187371547946", "semantic_fingerprint": "sha256:a4eba03ca77cbe18874f80a9131880d48de7bb8f3004f63d96b40e5e552b5b4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000543", "prompt": "Compute: 3 + 36 * (0 - 5) - (-33) * (-45)", "solution_steps": ["Subtract: 0 - 5 = -5", "Multiply: 36 * (-5) = -180", "Add: 3 + (-180) = -177", "Multiply: -33 * (-45) = 1485", "Subtract: -177 - 1485 = -1662"], "final_answer": "-1662", "answer_type": "integer", "kind": "expression", "math_text": "3 + 36 * (0 - 5) - (-33) * (-45)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 36, \"c\": 0, \"d\": 5, \"e\": -33, \"f\": -45}", "seed": "5854295880361834742", "semantic_fingerprint": "sha256:ea70feb1f1f892eb6cada5082382f8580562b3d2ac476f5e132633f474946da3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000544", "prompt": "Solve the equation 12x = 10(x + 91) - 920 for x.", "solution_steps": ["Expand: 12x = 10x + 910 - 920", "Combine constants: 12x = 10x - 10", "Subtract 10x from both sides: 2x = -10", "Divide both sides by 2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 10(x + 91) - 920", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 10, \"c\": 91, \"e\": -920, \"x\": -5}", "seed": "15782345609444487319", "semantic_fingerprint": "sha256:0f296c116e13b4d7037682a5bdf065c4a1c28405f8a22869454d1df9b318761a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000545", "prompt": "Evaluate: (-467 + (-871)) / 263 + (-23)", "solution_steps": ["Add: -467 + (-871) = -1338", "Divide: -1338 / 263 = -1338/263", "Add: -1338/263 + (-23) = -7387/263"], "final_answer": "-7387/263", "answer_type": "rational", "kind": "expression", "math_text": "(-467 + (-871)) / 263 + (-23)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -467, \"b\": -871, \"c\": 263, \"d\": -23}", "seed": "13165376607950883715", "semantic_fingerprint": "sha256:cd78bb49b873858318c480f01a00e191e7e5ce2ed693d75cdb8be3e14590811a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000546", "prompt": "What is 5 + (-783 - 902) * (277 + 59)?", "solution_steps": ["Subtract: -783 - 902 = -1685", "Add: 277 + 59 = 336", "Multiply: -1685 * 336 = -566160", "Add: 5 + (-566160) = -566155"], "final_answer": "-566155", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-783 - 902) * (277 + 59)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -783, \"c\": 902, \"d\": 277, \"e\": 59}", "seed": "13540617236254204972", "semantic_fingerprint": "sha256:b6f96a45c181d5543d7042e351659ab397b972b34cc530ab5917a0a8274bfa54", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000547", "prompt": "Solve the equation -9(x - 68) + 91 = 9(x + 2) for x.", "solution_steps": ["Expand: -9x + 612 + 91 = 9(x + 2)", "Expand: -9x + 612 + 91 = 9x + 18", "Combine constants: -9x + 703 = 9x + 18", "Subtract 9x from both sides: -18x + 703 = 18", "Subtract 703 from both sides: -18x = -685", "Divide both sides by -18: x = 685/18"], "final_answer": "685/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 68) + 91 = 9(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 68, \"c\": 91, \"d\": 9, \"e\": 2}", "seed": "6112179838860846160", "semantic_fingerprint": "sha256:a18144c93d9c43c93b24a4dac46943a5e37466595c1da2918028296bb1c2557f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000548", "prompt": "Find x: 10x = -4(x + 6) + 150", "solution_steps": ["Expand: 10x = -4x - 24 + 150", "Combine constants: 10x = -4x + 126", "Add 4x to both sides: 14x = 126", "Divide both sides by 14: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -4(x + 6) + 150", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -4, \"c\": 6, \"e\": 150, \"x\": 9}", "seed": "17918591482706581998", "semantic_fingerprint": "sha256:ddd6d02e85f94f0ea2083b2511542056e9ea9d9ed6e413fa3493e35fbbcecc2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000549", "prompt": "Compute: 0 - (-1) / (-6) - (-67)", "solution_steps": ["Divide: -1 / (-6) = 1/6", "Subtract: 0 - 1/6 = -1/6", "Subtract: -1/6 - (-67) = 401/6"], "final_answer": "401/6", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-1) / (-6) - (-67)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": -6, \"d\": -67}", "seed": "16129538852999681986", "semantic_fingerprint": "sha256:b817ed11d084945e23e47f48e479be7e5888da13f24ed3d9567f835994721da6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000550", "prompt": "Find x: -8(x - 18) + 120 = 4(x + 9)", "solution_steps": ["Expand: -8x + 144 + 120 = 4(x + 9)", "Expand: -8x + 144 + 120 = 4x + 36", "Combine constants: -8x + 264 = 4x + 36", "Subtract 4x from both sides: -12x + 264 = 36", "Subtract 264 from both sides: -12x = -228", "Divide both sides by -12: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 18) + 120 = 4(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 18, \"c\": 4, \"d\": 9, \"f\": 120, \"x\": 19}", "seed": "16656132204129876868", "semantic_fingerprint": "sha256:ea45bf89b52a4bfb58ea6f31779af9419ce984d6c9bdbf93c1ed607c6d4ec9de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000551", "prompt": "What value of x satisfies -11(x + 83) + 968 = x + 79?", "solution_steps": ["Expand: -11x - 913 + 968 = x + 79", "Combine constants: -11x + 55 = x + 79", "Subtract x from both sides: -12x + 55 = 79", "Subtract 55 from both sides: -12x = 24", "Divide both sides by -12: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 83) + 968 = x + 79", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 83, \"c\": 968, \"e\": 79, \"x\": -2}", "seed": "12671670484804659182", "semantic_fingerprint": "sha256:a63b690426180eda312bd2675bea0b626e09daf3411ca2d2976cc01ea39e6303", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000552", "prompt": "Compute: (0 + 32 * 3 + (-922 - (-4))) / (-92)", "solution_steps": ["Multiply: 32 * 3 = 96", "Add: 0 + 96 = 96", "Subtract: -922 - (-4) = -918", "Add: 96 + (-918) = -822", "Divide: -822 / (-92) = 411/46"], "final_answer": "411/46", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 32 * 3 + (-922 - (-4))) / (-92)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n (* n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 32, \"c\": 3, \"d\": -922, \"e\": -4, \"f\": -92}", "seed": "1002368418381282614", "semantic_fingerprint": "sha256:df9e395f2ff812b081732111df9400724dcfd957cb3116857cd8f62547cd9cd6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000553", "prompt": "What is 70 + (4 - 932) + (-29)?", "solution_steps": ["Subtract: 4 - 932 = -928", "Add: 70 + (-928) = -858", "Add: -858 + (-29) = -887"], "final_answer": "-887", "answer_type": "integer", "kind": "expression", "math_text": "70 + (4 - 932) + (-29)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 4, \"c\": 932, \"d\": -29}", "seed": "2807742635590482370", "semantic_fingerprint": "sha256:79673c87f6fce5c0658c8d6a2a036e46910e172a0aa54f7e07277775235cd55f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000554", "prompt": "Calculate: -1 * 891 + (7 - (-8))", "solution_steps": ["Multiply: -1 * 891 = -891", "Subtract: 7 - (-8) = 15", "Add: -891 + 15 = -876"], "final_answer": "-876", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 891 + (7 - (-8))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 891, \"c\": 7, \"d\": -8}", "seed": "1290550549069735683", "semantic_fingerprint": "sha256:2514374f91351f4675539f51fe318ab5e19ea43eef064ab44ac1cdcb7cfb43e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000555", "prompt": "Solve for x: -3x - 545 = 9x - 677", "solution_steps": ["Subtract 9x from both sides: -12x - 545 = -677", "Add 545 to both sides: -12x = -132", "Divide both sides by -12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 545 = 9x - 677", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 545, \"c\": 9, \"e\": -677, \"x\": 11}", "seed": "14032976872329806382", "semantic_fingerprint": "sha256:8b40bec5bbb6d877b0aa4104d2e01aaa18aa68fa053e5d82061bfb51ef9c75dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000556", "prompt": "Calculate: -8 - (-4) / 787 - (-732)", "solution_steps": ["Divide: -4 / 787 = -4/787", "Subtract: -8 - (-4/787) = -6292/787", "Subtract: -6292/787 - (-732) = 569792/787"], "final_answer": "569792/787", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-4) / 787 - (-732)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -4, \"c\": 787, \"d\": -732}", "seed": "4646702237031862746", "semantic_fingerprint": "sha256:40a44d1372723def54a0cebd82d887220487d3ace45b7c20e812460d16be69b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000557", "prompt": "Evaluate: 0 * (-81) + (-915) + (-7 - (-926))", "solution_steps": ["Multiply: 0 * (-81) = 0", "Add: 0 + (-915) = -915", "Subtract: -7 - (-926) = 919", "Add: -915 + 919 = 4"], "final_answer": "4", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-81) + (-915) + (-7 - (-926))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -81, \"c\": -915, \"d\": -7, \"e\": -926}", "seed": "6457845035558312524", "semantic_fingerprint": "sha256:c9a40b344f43ef01d334bf95854b1f36ea6fa5725c17e6f5502810b2f0b9818b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000558", "prompt": "Calculate: -930 - (-5) / 3 - 5 / (64 + 7)", "solution_steps": ["Divide: -5 / 3 = -5/3", "Subtract: -930 - (-5/3) = -2785/3", "Add: 64 + 7 = 71", "Divide: 5 / 71 = 5/71", "Subtract: -2785/3 - 5/71 = -197750/213"], "final_answer": "-197750/213", "answer_type": "rational", "kind": "expression", "math_text": "-930 - (-5) / 3 - 5 / (64 + 7)", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -930, \"b\": -5, \"c\": 3, \"d\": 5, \"e\": 64, \"f\": 7}", "seed": "13203378102633738036", "semantic_fingerprint": "sha256:7514e4a7f83a368e003dd57fcba7853ef45b04d2f0e48acbf3134a816777a1c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000559", "prompt": "Compute: 4 * (-3) + 98 * (-13)", "solution_steps": ["Multiply: 4 * (-3) = -12", "Multiply: 98 * (-13) = -1274", "Add: -12 + (-1274) = -1286"], "final_answer": "-1286", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-3) + 98 * (-13)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -3, \"c\": 98, \"d\": -13}", "seed": "3673342529153697539", "semantic_fingerprint": "sha256:22a4a7ee07947d4a458d5f97bb8e10611a3a1300634b888c41cd460cd08dddb5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000560", "prompt": "Calculate: -101 / 17 * (-80 / (-25))", "solution_steps": ["Divide: -101 / 17 = -101/17", "Divide: -80 / (-25) = 16/5", "Multiply: (-101/17) * (16/5) = -1616/85"], "final_answer": "-1616/85", "answer_type": "rational", "kind": "expression", "math_text": "-101 / 17 * (-80 / (-25))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -101, \"b\": 17, \"c\": -80, \"d\": -25}", "seed": "7278528574566480214", "semantic_fingerprint": "sha256:941088c364494c3699c0ba793a9f4c1418f9510a745d79384ec17a63ff43551b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000561", "prompt": "Solve the equation -2x - 62 = -3x - 51 for x.", "solution_steps": ["Add 3x to both sides: x - 62 = -51", "Add 62 to both sides: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 62 = -3x - 51", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 62, \"c\": -3, \"e\": -51, \"x\": 11}", "seed": "13270248067490763119", "semantic_fingerprint": "sha256:8d28ce2ae9d9cf258f7987c05acb21d87d158047b7d98ca654b5ee28c5fea273", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000562", "prompt": "Calculate: (40 + 20 + 0) * (-28 - (-57))", "solution_steps": ["Add: 40 + 20 = 60", "Add: 60 + 0 = 60", "Subtract: -28 - (-57) = 29", "Multiply: 60 * 29 = 1740"], "final_answer": "1740", "answer_type": "integer", "kind": "expression", "math_text": "(40 + 20 + 0) * (-28 - (-57))", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 20, \"c\": 0, \"d\": -28, \"e\": -57}", "seed": "4001196889160807541", "semantic_fingerprint": "sha256:075311d894425abc3257fbc76ffd46949ac75cf807d3b30318ce6547a2f3392c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000563", "prompt": "Calculate: 32 * (17 / ((93 + 248) / (-992)))", "solution_steps": ["Add: 93 + 248 = 341", "Divide: 341 / (-992) = -11/32", "Divide: 17 / (-11/32) = -544/11", "Multiply: 32 * (-544/11) = -17408/11"], "final_answer": "-17408/11", "answer_type": "rational", "kind": "expression", "math_text": "32 * (17 / ((93 + 248) / (-992)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (/ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 17, \"c\": 93, \"d\": 248, \"e\": -992}", "seed": "12953157656541570878", "semantic_fingerprint": "sha256:cfc2af223802a3024054f2686122e96a09c2efc746c80f43041fc385616e856a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000564", "prompt": "Solve for x: 3(x - 656) - 4 = x + 55", "solution_steps": ["Expand: 3x - 1968 - 4 = x + 55", "Combine constants: 3x - 1972 = x + 55", "Subtract x from both sides: 2x - 1972 = 55", "Add 1972 to both sides: 2x = 2027", "Divide both sides by 2: x = 2027/2"], "final_answer": "2027/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 656) - 4 = x + 55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 656, \"c\": 4, \"d\": 55}", "seed": "14386108359738422800", "semantic_fingerprint": "sha256:695471046aa54dd2b4047cd852e4ba81b524594843c24214a428559e5e1cf0a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000565", "prompt": "Calculate: 47 / (-7) / (1 + (-81) / (-6))", "solution_steps": ["Divide: 47 / (-7) = -47/7", "Divide: -81 / (-6) = 27/2", "Add: 1 + 27/2 = 29/2", "Divide: (-47/7) / (29/2) = -94/203"], "final_answer": "-94/203", "answer_type": "rational", "kind": "expression", "math_text": "47 / (-7) / (1 + (-81) / (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -7, \"c\": 1, \"d\": -81, \"e\": -6}", "seed": "16243926979252969096", "semantic_fingerprint": "sha256:07ba90ea1be138a5e6519d4bced3573eb20a5ff736556ef3525c400f9a82e426", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000566", "prompt": "Solve for x: 8x - 45 = 9x - 55", "solution_steps": ["Subtract 9x from both sides: -x - 45 = -55", "Add 45 to both sides: -x = -10", "Divide both sides by -1: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 45 = 9x - 55", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 45, \"c\": 9, \"e\": -55, \"x\": 10}", "seed": "12718898682570179976", "semantic_fingerprint": "sha256:e24172387fde5cadad40b5f94fffd8d79a856cb5c623e0797332cf137278cbcd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000567", "prompt": "What value of x satisfies -3x = 11(x + 56) + 404?", "solution_steps": ["Expand: -3x = 11x + 616 + 404", "Combine constants: -3x = 11x + 1020", "Subtract 11x from both sides: -14x = 1020", "Divide both sides by -14: x = -510/7"], "final_answer": "-510/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x = 11(x + 56) + 404", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 11, \"c\": 56, \"d\": 404}", "seed": "13366848199595238890", "semantic_fingerprint": "sha256:3db50a4f234fdb98a2a401120b3fdcf81cb49826f955d95082a38c1888652018", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000568", "prompt": "Calculate: -88 / (-7 * (-35) + 78) * (-61)", "solution_steps": ["Multiply: -7 * (-35) = 245", "Add: 245 + 78 = 323", "Divide: -88 / 323 = -88/323", "Multiply: (-88/323) * (-61) = 5368/323"], "final_answer": "5368/323", "answer_type": "rational", "kind": "expression", "math_text": "-88 / (-7 * (-35) + 78) * (-61)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -7, \"c\": -35, \"d\": 78, \"e\": -61}", "seed": "4835288753898623022", "semantic_fingerprint": "sha256:4c807fa3d8c5dd8831e9e6a57abcc28b4239f5609407cbbbb0e4d893fac36028", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000569", "prompt": "What value of x satisfies 9x - 3 = 2(x - 54)?", "solution_steps": ["Expand: 9x - 3 = 2x - 108", "Subtract 2x from both sides: 7x - 3 = -108", "Add 3 to both sides: 7x = -105", "Divide both sides by 7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 3 = 2(x - 54)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 54, \"e\": -3, \"x\": -15}", "seed": "5029704523504698188", "semantic_fingerprint": "sha256:dfb4b65ba1a99ad7d7a795578bdbc886f1113a4cfc480fd1bf1145795b2bdf6f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000570", "prompt": "Evaluate: 51 + (127 - (-664)) + 5", "solution_steps": ["Subtract: 127 - (-664) = 791", "Add: 51 + 791 = 842", "Add: 842 + 5 = 847"], "final_answer": "847", "answer_type": "integer", "kind": "expression", "math_text": "51 + (127 - (-664)) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 127, \"c\": -664, \"d\": 5}", "seed": "10965459200778342780", "semantic_fingerprint": "sha256:f0121e6f896568aaa318898d09111e9f1326ef5814ca901b59737570444d7065", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000571", "prompt": "What value of x satisfies -12x - 92 = -3x - 20?", "solution_steps": ["Add 3x to both sides: -9x - 92 = -20", "Add 92 to both sides: -9x = 72", "Divide both sides by -9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 92 = -3x - 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 92, \"c\": -3, \"e\": -20, \"x\": -8}", "seed": "14652616729475674360", "semantic_fingerprint": "sha256:84f95358656e4501cd55652433430717ff2e5e9cdcf57d75a586c1d4eba8f3f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000572", "prompt": "Solve for x: 8(x - 75) + 620 = 4(x + 4)", "solution_steps": ["Expand: 8x - 600 + 620 = 4(x + 4)", "Expand: 8x - 600 + 620 = 4x + 16", "Combine constants: 8x + 20 = 4x + 16", "Subtract 4x from both sides: 4x + 20 = 16", "Subtract 20 from both sides: 4x = -4", "Divide both sides by 4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 75) + 620 = 4(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 75, \"c\": 4, \"d\": 4, \"f\": 620, \"x\": -1}", "seed": "2478982313068346705", "semantic_fingerprint": "sha256:3eb82626cb42e5fe6ddf0a1024f43b6554488ab77a76538a5e795eeeaeee07d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000573", "prompt": "What is 0 * (1 + (-70) * (-67))?", "solution_steps": ["Multiply: -70 * (-67) = 4690", "Add: 1 + 4690 = 4691", "Multiply: 0 * 4691 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (1 + (-70) * (-67))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": -70, \"d\": -67}", "seed": "12461740998685278737", "semantic_fingerprint": "sha256:22e3282931a04f1030cb3edb38dacf336731899b5555eb458ffe5b75ed21f3e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000574", "prompt": "Solve for x: 10(x + 2) = 7(x - 5) + 61", "solution_steps": ["Expand: 10x + 20 = 7(x - 5) + 61", "Expand: 10x + 20 = 7x - 35 + 61", "Combine constants: 10x + 20 = 7x + 26", "Subtract 7x from both sides: 3x + 20 = 26", "Subtract 20 from both sides: 3x = 6", "Divide both sides by 3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) = 7(x - 5) + 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 7, \"d\": 5, \"f\": 61, \"x\": 2}", "seed": "13807433022359458594", "semantic_fingerprint": "sha256:aa1e0b186145cc38bba527db6c94f35b87d50fd019c95ab903c137ccf0bb8756", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000575", "prompt": "Solve for x: 2(x - 80) + 236 = -5(x + 3)", "solution_steps": ["Expand: 2x - 160 + 236 = -5(x + 3)", "Expand: 2x - 160 + 236 = -5x - 15", "Combine constants: 2x + 76 = -5x - 15", "Add 5x to both sides: 7x + 76 = -15", "Subtract 76 from both sides: 7x = -91", "Divide both sides by 7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 80) + 236 = -5(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 80, \"c\": -5, \"d\": 3, \"f\": 236, \"x\": -13}", "seed": "7474469200863094241", "semantic_fingerprint": "sha256:0e29bb552a04588303a8ac822a364945ad4861bb45cd8455a6e0d86234ef0a9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000576", "prompt": "Compute: 6 * (-5) + 9 + 3", "solution_steps": ["Multiply: 6 * (-5) = -30", "Add: -30 + 9 = -21", "Add: -21 + 3 = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-5) + 9 + 3", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": 9, \"d\": 3}", "seed": "8618015641884365236", "semantic_fingerprint": "sha256:c8efc970140a3b75095b4457b2773cfa9a34d71e413920d3ad4bc7c5b417c686", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000577", "prompt": "Find x: 11(x - 9) + 96 = 6(x + 7)", "solution_steps": ["Expand: 11x - 99 + 96 = 6(x + 7)", "Expand: 11x - 99 + 96 = 6x + 42", "Combine constants: 11x - 3 = 6x + 42", "Subtract 6x from both sides: 5x - 3 = 42", "Add 3 to both sides: 5x = 45", "Divide both sides by 5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 9) + 96 = 6(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 6, \"d\": 7, \"f\": 96, \"x\": 9}", "seed": "4468347895010176881", "semantic_fingerprint": "sha256:76082bbe4d5842902d1649f4a08d7a84370b096fb40eab4aac3081d31345e54b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000578", "prompt": "What value of x satisfies 8(x + 8) = 10(x - 4) + 80?", "solution_steps": ["Expand: 8x + 64 = 10(x - 4) + 80", "Expand: 8x + 64 = 10x - 40 + 80", "Combine constants: 8x + 64 = 10x + 40", "Subtract 10x from both sides: -2x + 64 = 40", "Subtract 64 from both sides: -2x = -24", "Divide both sides by -2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 8) = 10(x - 4) + 80", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 10, \"d\": 4, \"f\": 80, \"x\": 12}", "seed": "12933485927507413298", "semantic_fingerprint": "sha256:cb7e57cd978d797f3ea07c6e7c08fffaf13a872f4306b4d9a254c7c7830ebe35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000579", "prompt": "Solve the equation 9x - 205 = -5(x - 1) for x.", "solution_steps": ["Expand: 9x - 205 = -5x + 5", "Add 5x to both sides: 14x - 205 = 5", "Add 205 to both sides: 14x = 210", "Divide both sides by 14: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 205 = -5(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 1, \"e\": -205, \"x\": 15}", "seed": "5273383466415955261", "semantic_fingerprint": "sha256:cf3667c72b6237559ba7b4c43021ac6430545687a049f14f287448713defd31b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000580", "prompt": "Solve the equation 3(x + 2) + 1 = x + 33 for x.", "solution_steps": ["Expand: 3x + 6 + 1 = x + 33", "Combine constants: 3x + 7 = x + 33", "Subtract x from both sides: 2x + 7 = 33", "Subtract 7 from both sides: 2x = 26", "Divide both sides by 2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 2) + 1 = x + 33", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 1, \"e\": 33, \"x\": 13}", "seed": "7387162909320009789", "semantic_fingerprint": "sha256:c24383e14deb94b50b5b63b6c027cc599d218844d07bb88342e1e7591f7e9c99", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000581", "prompt": "Evaluate: (-7 - (-409)) / (-64) + (-2 + 53)", "solution_steps": ["Subtract: -7 - (-409) = 402", "Divide: 402 / (-64) = -201/32", "Add: -2 + 53 = 51", "Add: -201/32 + 51 = 1431/32"], "final_answer": "1431/32", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-409)) / (-64) + (-2 + 53)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -409, \"c\": -64, \"d\": -2, \"e\": 53}", "seed": "1066684673862846464", "semantic_fingerprint": "sha256:768ae05f202144c45e345841cd83d562eff8c6005169110bc24da629a8286f8a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000582", "prompt": "Evaluate: (3 - 0) / (-3) / 2 + 0", "solution_steps": ["Subtract: 3 - 0 = 3", "Divide: 3 / (-3) = -1", "Divide: -1 / 2 = -1/2", "Add: -1/2 + 0 = -1/2"], "final_answer": "-1/2", "answer_type": "rational", "kind": "expression", "math_text": "(3 - 0) / (-3) / 2 + 0", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 0, \"c\": -3, \"d\": 2, \"e\": 0}", "seed": "11561554967494722383", "semantic_fingerprint": "sha256:84c54370cffee0f807f7ac9d427a4f2c4fa7d18df55ea2a7d45f3b800c311156", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000583", "prompt": "Evaluate: (-9 / (-5) - 838) * (-8)", "solution_steps": ["Divide: -9 / (-5) = 9/5", "Subtract: 9/5 - 838 = -4181/5", "Multiply: (-4181/5) * (-8) = 33448/5"], "final_answer": "33448/5", "answer_type": "rational", "kind": "expression", "math_text": "(-9 / (-5) - 838) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -5, \"c\": 838, \"d\": -8}", "seed": "15063219168837765547", "semantic_fingerprint": "sha256:e704a6b1ccbdb278afe7a12829cd755476fdc7af18efdd5693f033f185fbb9fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000584", "prompt": "Find x: -2x = 3(x + 74) - 162", "solution_steps": ["Expand: -2x = 3x + 222 - 162", "Combine constants: -2x = 3x + 60", "Subtract 3x from both sides: -5x = 60", "Divide both sides by -5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 3(x + 74) - 162", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 74, \"e\": -162, \"x\": -12}", "seed": "7855437676383910051", "semantic_fingerprint": "sha256:eeae2f94b30ebeb9772073856a6df22942a1a9ee4e07d935d89ed8b5c95941bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000585", "prompt": "Solve for x: 9(x + 82) = 2(x - 3) + 688", "solution_steps": ["Expand: 9x + 738 = 2(x - 3) + 688", "Expand: 9x + 738 = 2x - 6 + 688", "Combine constants: 9x + 738 = 2x + 682", "Subtract 2x from both sides: 7x + 738 = 682", "Subtract 738 from both sides: 7x = -56", "Divide both sides by 7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 82) = 2(x - 3) + 688", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 82, \"c\": 2, \"d\": 3, \"f\": 688, \"x\": -8}", "seed": "3013627420230037259", "semantic_fingerprint": "sha256:0debd30741b53a71c83d6bd93dc313a427c6bc8b7363a7cd5585a8ad4e41dcad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000586", "prompt": "Calculate: (6 - (-83 + 6)) / (-62) + 18", "solution_steps": ["Add: -83 + 6 = -77", "Subtract: 6 - (-77) = 83", "Divide: 83 / (-62) = -83/62", "Add: -83/62 + 18 = 1033/62"], "final_answer": "1033/62", "answer_type": "rational", "kind": "expression", "math_text": "(6 - (-83 + 6)) / (-62) + 18", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -83, \"c\": 6, \"d\": -62, \"e\": 18}", "seed": "12091536977207372039", "semantic_fingerprint": "sha256:7b48ee538b22af83e3ac918be2728bc0dd136f888368d9c07bd8e53deebb366f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000587", "prompt": "Calculate: (3 - (-78) * 272) / (-1)", "solution_steps": ["Multiply: -78 * 272 = -21216", "Subtract: 3 - (-21216) = 21219", "Divide: 21219 / (-1) = -21219"], "final_answer": "-21219", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (-78) * 272) / (-1)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -78, \"c\": 272, \"d\": -1}", "seed": "12267317136828449300", "semantic_fingerprint": "sha256:d816c543e714d654bc557b9254d12bf9378d3af6d04289cd1c794b4ad682a917", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000588", "prompt": "What value of x satisfies 8(x + 733) - 1 = x + 8?", "solution_steps": ["Expand: 8x + 5864 - 1 = x + 8", "Combine constants: 8x + 5863 = x + 8", "Subtract x from both sides: 7x + 5863 = 8", "Subtract 5863 from both sides: 7x = -5855", "Divide both sides by 7: x = -5855/7"], "final_answer": "-5855/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 733) - 1 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 733, \"c\": 1, \"d\": 8}", "seed": "1696988380850933361", "semantic_fingerprint": "sha256:01186beeeb2bd2232172aaeca2368d00966ad8cb862c994804216fb9261fc62e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000589", "prompt": "Evaluate: 988 + 27 - (8 - (967 - 431))", "solution_steps": ["Add: 988 + 27 = 1015", "Subtract: 967 - 431 = 536", "Subtract: 8 - 536 = -528", "Subtract: 1015 - (-528) = 1543"], "final_answer": "1543", "answer_type": "integer", "kind": "expression", "math_text": "988 + 27 - (8 - (967 - 431))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 988, \"b\": 27, \"c\": 8, \"d\": 967, \"e\": 431}", "seed": "15746239685969655012", "semantic_fingerprint": "sha256:a34dd4c1f686b51979058181f01304d9eb7b2b826acbbc9846c5873ab4c8c6ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000590", "prompt": "Calculate: -259 / 2 + (-8 + (-60 + 86)) + (-36)", "solution_steps": ["Divide: -259 / 2 = -259/2", "Add: -60 + 86 = 26", "Add: -8 + 26 = 18", "Add: -259/2 + 18 = -223/2", "Add: -223/2 + (-36) = -295/2"], "final_answer": "-295/2", "answer_type": "rational", "kind": "expression", "math_text": "-259 / 2 + (-8 + (-60 + 86)) + (-36)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -259, \"b\": 2, \"c\": -8, \"d\": -60, \"e\": 86, \"f\": -36}", "seed": "12765271907227804509", "semantic_fingerprint": "sha256:29dd50ca8f9295617aa48f1ad82910195d6597579a71a9208ae2ce11f7facd9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000591", "prompt": "Evaluate: 459 / (9 * (84 + (-96)))", "solution_steps": ["Add: 84 + (-96) = -12", "Multiply: 9 * (-12) = -108", "Divide: 459 / (-108) = -17/4"], "final_answer": "-17/4", "answer_type": "rational", "kind": "expression", "math_text": "459 / (9 * (84 + (-96)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 459, \"b\": 9, \"c\": 84, \"d\": -96}", "seed": "3714613138568079366", "semantic_fingerprint": "sha256:26bba013b7de50919f6f1391a2a6c94bb1d7c924600a85428a55ba8212cca12e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000592", "prompt": "Evaluate: -1 / (-60) - (-434 - 2) - (-3)", "solution_steps": ["Divide: -1 / (-60) = 1/60", "Subtract: -434 - 2 = -436", "Subtract: 1/60 - (-436) = 26161/60", "Subtract: 26161/60 - (-3) = 26341/60"], "final_answer": "26341/60", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-60) - (-434 - 2) - (-3)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -60, \"c\": -434, \"d\": 2, \"e\": -3}", "seed": "267664005837690849", "semantic_fingerprint": "sha256:68f10c5044b256a0ab8fdb261952e88696629c5f77be102d49638938b0aa52de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000593", "prompt": "Find x: 5(x + 34) + 3 = x + 221", "solution_steps": ["Expand: 5x + 170 + 3 = x + 221", "Combine constants: 5x + 173 = x + 221", "Subtract x from both sides: 4x + 173 = 221", "Subtract 173 from both sides: 4x = 48", "Divide both sides by 4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 34) + 3 = x + 221", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 34, \"c\": 3, \"e\": 221, \"x\": 12}", "seed": "13383643792648121911", "semantic_fingerprint": "sha256:83574c3c1b1fc1e0c0326d9ac94496098aa2834bd99bc2f660463b830f2a1abb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000594", "prompt": "Evaluate: (63 / (-9) - (1 - (-4))) / (-42 / 427)", "solution_steps": ["Divide: 63 / (-9) = -7", "Subtract: 1 - (-4) = 5", "Subtract: -7 - 5 = -12", "Divide: -42 / 427 = -6/61", "Divide: -12 / (-6/61) = 122"], "final_answer": "122", "answer_type": "integer", "kind": "expression", "math_text": "(63 / (-9) - (1 - (-4))) / (-42 / 427)", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -9, \"c\": 1, \"d\": -4, \"e\": -42, \"f\": 427}", "seed": "4024589033352241080", "semantic_fingerprint": "sha256:770ee2b354f554c37522effa69d8457fd51a0a0bead2e469ba334aa1178535e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000595", "prompt": "Evaluate: (9 - 34 - (-481)) * 36", "solution_steps": ["Subtract: 9 - 34 = -25", "Subtract: -25 - (-481) = 456", "Multiply: 456 * 36 = 16416"], "final_answer": "16416", "answer_type": "integer", "kind": "expression", "math_text": "(9 - 34 - (-481)) * 36", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 34, \"c\": -481, \"d\": 36}", "seed": "11032680186736424416", "semantic_fingerprint": "sha256:eb46dbc75b781cebc4a410c3b2cc44e3477f206d2ef6dd97b7415001a0f51d01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000596", "prompt": "What is 28 * (-9) + (-26 - 8)?", "solution_steps": ["Multiply: 28 * (-9) = -252", "Subtract: -26 - 8 = -34", "Add: -252 + (-34) = -286"], "final_answer": "-286", "answer_type": "integer", "kind": "expression", "math_text": "28 * (-9) + (-26 - 8)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -9, \"c\": -26, \"d\": 8}", "seed": "6891405132278449693", "semantic_fingerprint": "sha256:8abf5ed1362acebb9d2b7d546aae84faea80114a9112090bc002dd7df84e1426", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000597", "prompt": "Calculate: -601 * (4 * (-227)) + 6", "solution_steps": ["Multiply: 4 * (-227) = -908", "Multiply: -601 * (-908) = 545708", "Add: 545708 + 6 = 545714"], "final_answer": "545714", "answer_type": "integer", "kind": "expression", "math_text": "-601 * (4 * (-227)) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -601, \"b\": 4, \"c\": -227, \"d\": 6}", "seed": "5191091695587844836", "semantic_fingerprint": "sha256:8d941908d4ee758d20712df865dd60838de9a25b4f8ad8c0d27b37a610fa7424", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000598", "prompt": "Calculate: -603 * 15 + 12 + (-6 - (-29))", "solution_steps": ["Multiply: -603 * 15 = -9045", "Add: -9045 + 12 = -9033", "Subtract: -6 - (-29) = 23", "Add: -9033 + 23 = -9010"], "final_answer": "-9010", "answer_type": "integer", "kind": "expression", "math_text": "-603 * 15 + 12 + (-6 - (-29))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -603, \"b\": 15, \"c\": 12, \"d\": -6, \"e\": -29}", "seed": "7914013106944197831", "semantic_fingerprint": "sha256:49c57ad793ba1e649dafb2cf0f75659ed4ecbffefd14d06dd2cd53397776c2d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000599", "prompt": "Solve for x: 4x - 159 = 6x - 5", "solution_steps": ["Subtract 6x from both sides: -2x - 159 = -5", "Add 159 to both sides: -2x = 154", "Divide both sides by -2: x = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 159 = 6x - 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 159, \"c\": 6, \"d\": 5}", "seed": "10776005630223590671", "semantic_fingerprint": "sha256:9b5b061eaa3362452cb25f6298667430968c496db0c99519eaa038b5cefd3c8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000600", "prompt": "Solve for x: 8(x + 35) - 996 = x + 6", "solution_steps": ["Expand: 8x + 280 - 996 = x + 6", "Combine constants: 8x - 716 = x + 6", "Subtract x from both sides: 7x - 716 = 6", "Add 716 to both sides: 7x = 722", "Divide both sides by 7: x = 722/7"], "final_answer": "722/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 35) - 996 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 35, \"c\": 996, \"d\": 6}", "seed": "15483958596387366301", "semantic_fingerprint": "sha256:901865f77992abaa23236e7a746a2bb3a14603d60c2a491bd55c1629722bdd0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000601", "prompt": "Solve for x: 6(x + 1) - 90 = x + 456", "solution_steps": ["Expand: 6x + 6 - 90 = x + 456", "Combine constants: 6x - 84 = x + 456", "Subtract x from both sides: 5x - 84 = 456", "Add 84 to both sides: 5x = 540", "Divide both sides by 5: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 1) - 90 = x + 456", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 90, \"d\": 456}", "seed": "18387333654778319355", "semantic_fingerprint": "sha256:9ecd1f336c3fb7b6e20ac33786513bf70c5fbddd3a6060201b9815bb8e88889a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000602", "prompt": "What is 5 - 749 * 7 + (-944) * (-930)?", "solution_steps": ["Multiply: 749 * 7 = 5243", "Subtract: 5 - 5243 = -5238", "Multiply: -944 * (-930) = 877920", "Add: -5238 + 877920 = 872682"], "final_answer": "872682", "answer_type": "integer", "kind": "expression", "math_text": "5 - 749 * 7 + (-944) * (-930)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 749, \"c\": 7, \"d\": -944, \"e\": -930}", "seed": "13711675377751811173", "semantic_fingerprint": "sha256:c655535316be9abeb5c7aac792374ad804f5df5700005052c6b97f6722d111cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000603", "prompt": "What is 94 - (-54) * (-8 / 3)?", "solution_steps": ["Divide: -8 / 3 = -8/3", "Multiply: -54 * (-8/3) = 144", "Subtract: 94 - 144 = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "94 - (-54) * (-8 / 3)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -54, \"c\": -8, \"d\": 3}", "seed": "11366837555311653656", "semantic_fingerprint": "sha256:6bbd814f3a4544e059be1e3481a034000547f96d415d28ea453e6dec09cd33ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000604", "prompt": "What value of x satisfies 10(x + 1) + 9 = x + 109?", "solution_steps": ["Expand: 10x + 10 + 9 = x + 109", "Combine constants: 10x + 19 = x + 109", "Subtract x from both sides: 9x + 19 = 109", "Subtract 19 from both sides: 9x = 90", "Divide both sides by 9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 1) + 9 = x + 109", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 9, \"e\": 109, \"x\": 10}", "seed": "4253997176748685074", "semantic_fingerprint": "sha256:222b02fcb4ba1e409203187cbbb97d3274b02a12d84a21c1623b98f44d003ea4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000605", "prompt": "Find x: 6x = -7(x + 3) - 226", "solution_steps": ["Expand: 6x = -7x - 21 - 226", "Combine constants: 6x = -7x - 247", "Add 7x to both sides: 13x = -247", "Divide both sides by 13: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = -7(x + 3) - 226", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": 3, \"e\": -226, \"x\": -19}", "seed": "13123278387559994246", "semantic_fingerprint": "sha256:9595479ae2bc5aed1732bbe83e498d10c1162aa597d38a0ad367f6f0742e701e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000606", "prompt": "Compute: -4 * (382 - 881 + (-9) / (-7) * (-35))", "solution_steps": ["Subtract: 382 - 881 = -499", "Divide: -9 / (-7) = 9/7", "Multiply: (9/7) * (-35) = -45", "Add: -499 + (-45) = -544", "Multiply: -4 * (-544) = 2176"], "final_answer": "2176", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (382 - 881 + (-9) / (-7) * (-35))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- n n) (* (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 382, \"c\": 881, \"d\": -9, \"e\": -7, \"f\": -35}", "seed": "11652912130553267097", "semantic_fingerprint": "sha256:f2d74bbdeac98511c4be3c677c7ec2ca852cd23079ab7c415f11b372da74b0ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000607", "prompt": "Evaluate: -75 / (8 + 33 / (-468) - 5)", "solution_steps": ["Divide: 33 / (-468) = -11/156", "Add: 8 + (-11/156) = 1237/156", "Subtract: 1237/156 - 5 = 457/156", "Divide: -75 / (457/156) = -11700/457"], "final_answer": "-11700/457", "answer_type": "rational", "kind": "expression", "math_text": "-75 / (8 + 33 / (-468) - 5)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 8, \"c\": 33, \"d\": -468, \"e\": 5}", "seed": "575679417969583731", "semantic_fingerprint": "sha256:3cd0a5f33e5af68a6544fcb659355609e600fed0ba38b046108ae4101c1aeb51", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000608", "prompt": "Compute: -83 * 5 + (-9 - (-25)) - (-90)", "solution_steps": ["Multiply: -83 * 5 = -415", "Subtract: -9 - (-25) = 16", "Add: -415 + 16 = -399", "Subtract: -399 - (-90) = -309"], "final_answer": "-309", "answer_type": "integer", "kind": "expression", "math_text": "-83 * 5 + (-9 - (-25)) - (-90)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 5, \"c\": -9, \"d\": -25, \"e\": -90}", "seed": "6678485253676589186", "semantic_fingerprint": "sha256:9e5294619382efb14d4c8ca415a501e166853a32afdba59f592872cdce86d832", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000609", "prompt": "What is 40 + ((0 + (-15)) * 18 - (-72))?", "solution_steps": ["Add: 0 + (-15) = -15", "Multiply: -15 * 18 = -270", "Subtract: -270 - (-72) = -198", "Add: 40 + (-198) = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "expression", "math_text": "40 + ((0 + (-15)) * 18 - (-72))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 0, \"c\": -15, \"d\": 18, \"e\": -72}", "seed": "8927655855621460933", "semantic_fingerprint": "sha256:a1d280fba5d819f02535959056307bffa683a7700326d93ee9242e9d169ca5ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000610", "prompt": "Evaluate: 522 * (-3) + (-5) + 31", "solution_steps": ["Multiply: 522 * (-3) = -1566", "Add: -1566 + (-5) = -1571", "Add: -1571 + 31 = -1540"], "final_answer": "-1540", "answer_type": "integer", "kind": "expression", "math_text": "522 * (-3) + (-5) + 31", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 522, \"b\": -3, \"c\": -5, \"d\": 31}", "seed": "18061832878963969224", "semantic_fingerprint": "sha256:bf1e076beadc80698ab1e840918b3fdb1298cd4344ff7f2ec5fb519a8caf906d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000611", "prompt": "What is 94 * (-230) + (-763) * 1 - 9?", "solution_steps": ["Multiply: 94 * (-230) = -21620", "Multiply: -763 * 1 = -763", "Add: -21620 + (-763) = -22383", "Subtract: -22383 - 9 = -22392"], "final_answer": "-22392", "answer_type": "integer", "kind": "expression", "math_text": "94 * (-230) + (-763) * 1 - 9", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -230, \"c\": -763, \"d\": 1, \"e\": 9}", "seed": "17283874307783213452", "semantic_fingerprint": "sha256:71c3d58e198c157f46dbc9e9a0fcaecf0b8f67e72b340cc8afc4adea16bb26c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000612", "prompt": "Evaluate: 149 / 38 + (-27 - (867 - 934))", "solution_steps": ["Divide: 149 / 38 = 149/38", "Subtract: 867 - 934 = -67", "Subtract: -27 - (-67) = 40", "Add: 149/38 + 40 = 1669/38"], "final_answer": "1669/38", "answer_type": "rational", "kind": "expression", "math_text": "149 / 38 + (-27 - (867 - 934))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 149, \"b\": 38, \"c\": -27, \"d\": 867, \"e\": 934}", "seed": "2922035260290153798", "semantic_fingerprint": "sha256:958f054029dd610f1b37bcb136cd36d1dc5c6a0914b98f494b3ef3c093de575e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000613", "prompt": "What is -1 / (63 - (-454) - 7 + 840)?", "solution_steps": ["Subtract: 63 - (-454) = 517", "Subtract: 517 - 7 = 510", "Add: 510 + 840 = 1350", "Divide: -1 / 1350 = -1/1350"], "final_answer": "-1/1350", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (63 - (-454) - 7 + 840)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 63, \"c\": -454, \"d\": 7, \"e\": 840}", "seed": "2847646876044214796", "semantic_fingerprint": "sha256:54056a119e148ad1407b1ddf96965135bbb54351b3e5cc52e58791af30c7ae8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000614", "prompt": "Solve for x: -2(x + 3) + 49 = x + 73", "solution_steps": ["Expand: -2x - 6 + 49 = x + 73", "Combine constants: -2x + 43 = x + 73", "Subtract x from both sides: -3x + 43 = 73", "Subtract 43 from both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 3) + 49 = x + 73", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 49, \"e\": 73, \"x\": -10}", "seed": "8707083450709414774", "semantic_fingerprint": "sha256:a79135ca93324744f9d85b35134e85e45840f368ba2726022687e6bbb0f91a10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000615", "prompt": "Calculate: (51 - (52 - 87 * (78 / (-4)))) / 73", "solution_steps": ["Divide: 78 / (-4) = -39/2", "Multiply: 87 * (-39/2) = -3393/2", "Subtract: 52 - (-3393/2) = 3497/2", "Subtract: 51 - 3497/2 = -3395/2", "Divide: (-3395/2) / 73 = -3395/146"], "final_answer": "-3395/146", "answer_type": "rational", "kind": "expression", "math_text": "(51 - (52 - 87 * (78 / (-4)))) / 73", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- n (* n (/ n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 52, \"c\": 87, \"d\": 78, \"e\": -4, \"f\": 73}", "seed": "11134174843228078516", "semantic_fingerprint": "sha256:30717f13017aee30be05766909db4a0e544a5426dcdd2a8e389a1e6f6e2ab848", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000616", "prompt": "Calculate: 152 - 0 - (-895) + (-364 + 0 * 36)", "solution_steps": ["Subtract: 152 - 0 = 152", "Subtract: 152 - (-895) = 1047", "Multiply: 0 * 36 = 0", "Add: -364 + 0 = -364", "Add: 1047 + (-364) = 683"], "final_answer": "683", "answer_type": "integer", "kind": "expression", "math_text": "152 - 0 - (-895) + (-364 + 0 * 36)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 152, \"b\": 0, \"c\": -895, \"d\": -364, \"e\": 0, \"f\": 36}", "seed": "14714848171666746026", "semantic_fingerprint": "sha256:2c832b987d910bb6040a0212915041a7f3e4b756132fcc9e96a725cadb287682", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000617", "prompt": "Compute: 630 / (-54) - (-66) * (-62 + 77)", "solution_steps": ["Divide: 630 / (-54) = -35/3", "Add: -62 + 77 = 15", "Multiply: -66 * 15 = -990", "Subtract: -35/3 - (-990) = 2935/3"], "final_answer": "2935/3", "answer_type": "rational", "kind": "expression", "math_text": "630 / (-54) - (-66) * (-62 + 77)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 630, \"b\": -54, \"c\": -66, \"d\": -62, \"e\": 77}", "seed": "5279866041348117562", "semantic_fingerprint": "sha256:4fd815cb8aff03e864cf1df3d96744073e3d53af2c179fc20b9070fcd333d3f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000618", "prompt": "Calculate: (14 - (3 - (-283))) * (0 + 9) / (-830)", "solution_steps": ["Subtract: 3 - (-283) = 286", "Subtract: 14 - 286 = -272", "Add: 0 + 9 = 9", "Multiply: -272 * 9 = -2448", "Divide: -2448 / (-830) = 1224/415"], "final_answer": "1224/415", "answer_type": "rational", "kind": "expression", "math_text": "(14 - (3 - (-283))) * (0 + 9) / (-830)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 3, \"c\": -283, \"d\": 0, \"e\": 9, \"f\": -830}", "seed": "3189317529064334529", "semantic_fingerprint": "sha256:5245792d28faad0b55df6ffea7fd36dce3a31d4cb23cd0e8095fe5edfef3ebf9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000619", "prompt": "Solve the equation 5x - 40 = 10(x - 7) for x.", "solution_steps": ["Expand: 5x - 40 = 10x - 70", "Subtract 10x from both sides: -5x - 40 = -70", "Add 40 to both sides: -5x = -30", "Divide both sides by -5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 40 = 10(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"c\": 7, \"e\": -40, \"x\": 6}", "seed": "6655414774662597038", "semantic_fingerprint": "sha256:f5f9d3a7c49aa38bc62581ac130bf81880fce11497bbd850c644edb0a16d4993", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000620", "prompt": "What value of x satisfies -4(x + 41) + 825 = x + 616?", "solution_steps": ["Expand: -4x - 164 + 825 = x + 616", "Combine constants: -4x + 661 = x + 616", "Subtract x from both sides: -5x + 661 = 616", "Subtract 661 from both sides: -5x = -45", "Divide both sides by -5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 41) + 825 = x + 616", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 41, \"c\": 825, \"e\": 616, \"x\": 9}", "seed": "15364139047405421245", "semantic_fingerprint": "sha256:f021f4d0b64d31e3912b76ae2f2f40cfbeaf6bc90aa71853072e66e25c54c7d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000621", "prompt": "Find x: 11(x - 1) + 98 = 12(x + 5)", "solution_steps": ["Expand: 11x - 11 + 98 = 12(x + 5)", "Expand: 11x - 11 + 98 = 12x + 60", "Combine constants: 11x + 87 = 12x + 60", "Subtract 12x from both sides: -x + 87 = 60", "Subtract 87 from both sides: -x = -27", "Divide both sides by -1: x = 27"], "final_answer": "27", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) + 98 = 12(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 98, \"d\": 12, \"e\": 5}", "seed": "2322628083629085807", "semantic_fingerprint": "sha256:3bb48aadad25f6ca4601c852204fa9484f64bbd738fdbdf75828a7efd7a5e8fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000622", "prompt": "Solve the equation -7(x + 53) = 5(x - 56) + 17 for x.", "solution_steps": ["Expand: -7x - 371 = 5(x - 56) + 17", "Expand: -7x - 371 = 5x - 280 + 17", "Combine constants: -7x - 371 = 5x - 263", "Subtract 5x from both sides: -12x - 371 = -263", "Add 371 to both sides: -12x = 108", "Divide both sides by -12: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 53) = 5(x - 56) + 17", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 53, \"c\": 5, \"d\": 56, \"f\": 17, \"x\": -9}", "seed": "3526930663613209300", "semantic_fingerprint": "sha256:a17d81d98a3c2a7762681e924c9846addea4001326b059fb1b3f35344a067f02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000623", "prompt": "What value of x satisfies 12x = -10(x + 3) + 32?", "solution_steps": ["Expand: 12x = -10x - 30 + 32", "Combine constants: 12x = -10x + 2", "Add 10x to both sides: 22x = 2", "Divide both sides by 22: x = 1/11"], "final_answer": "1/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = -10(x + 3) + 32", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -10, \"c\": 3, \"d\": 32}", "seed": "6841410375253642749", "semantic_fingerprint": "sha256:0116987a3447866b3ada498eeef3def1dae1d8059864a7c1b6e835a508e4b0dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000624", "prompt": "Find x: 8x - 4 = 12x - 48", "solution_steps": ["Subtract 12x from both sides: -4x - 4 = -48", "Add 4 to both sides: -4x = -44", "Divide both sides by -4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 4 = 12x - 48", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 12, \"e\": -48, \"x\": 11}", "seed": "10575330427876986135", "semantic_fingerprint": "sha256:62ae67bd08208837ecb25c87903d81a2215ebc0d1c24cd5fb31ac12afb985ecd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000625", "prompt": "Compute: 5 - 75 / 18 - 0", "solution_steps": ["Divide: 75 / 18 = 25/6", "Subtract: 5 - 25/6 = 5/6", "Subtract: 5/6 - 0 = 5/6"], "final_answer": "5/6", "answer_type": "rational", "kind": "expression", "math_text": "5 - 75 / 18 - 0", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 75, \"c\": 18, \"d\": 0}", "seed": "17879977414343684949", "semantic_fingerprint": "sha256:fd9d7819a470e012f3464053a7622c384f73b3fa610f4f41830daa0567edee4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000626", "prompt": "Find x: 11(x + 2) - 84 = x + 28", "solution_steps": ["Expand: 11x + 22 - 84 = x + 28", "Combine constants: 11x - 62 = x + 28", "Subtract x from both sides: 10x - 62 = 28", "Add 62 to both sides: 10x = 90", "Divide both sides by 10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) - 84 = x + 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 84, \"e\": 28, \"x\": 9}", "seed": "10613248199518118233", "semantic_fingerprint": "sha256:0b4c56cf4832ff80136a5f003ed3a545a19a3591b602a577459d97d39c3cedb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000627", "prompt": "Calculate: -329 * 1 + (565 - (-7) - 86)", "solution_steps": ["Multiply: -329 * 1 = -329", "Subtract: 565 - (-7) = 572", "Subtract: 572 - 86 = 486", "Add: -329 + 486 = 157"], "final_answer": "157", "answer_type": "integer", "kind": "expression", "math_text": "-329 * 1 + (565 - (-7) - 86)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -329, \"b\": 1, \"c\": 565, \"d\": -7, \"e\": 86}", "seed": "977865297633653725", "semantic_fingerprint": "sha256:a8d6874c2a2f761ea2fe8bc279f116ab180d2753bb53bc36762584743558e57f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000628", "prompt": "Compute: (-1 + 73) * (3 + 2) * (-12 + 2)", "solution_steps": ["Add: -1 + 73 = 72", "Add: 3 + 2 = 5", "Multiply: 72 * 5 = 360", "Add: -12 + 2 = -10", "Multiply: 360 * (-10) = -3600"], "final_answer": "-3600", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + 73) * (3 + 2) * (-12 + 2)", "variable": null, "family": "expression_5op", "shape": "(* (* (+ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 73, \"c\": 3, \"d\": 2, \"e\": -12, \"f\": 2}", "seed": "1170963297727493204", "semantic_fingerprint": "sha256:2f17507e77090c8245abf8e4007963d3739f133bd8c8f1eb5e8d9a088b6c392e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000629", "prompt": "Solve the equation 4x - 31 = 8x - 27 for x.", "solution_steps": ["Subtract 8x from both sides: -4x - 31 = -27", "Add 31 to both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 31 = 8x - 27", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 31, \"c\": 8, \"e\": -27, \"x\": -1}", "seed": "9240577498975819722", "semantic_fingerprint": "sha256:6f7d9f7448c7114354c17637761e9c93452ff27f594c7ab80957f411ddff0aed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000630", "prompt": "Calculate: -535 / (-29) + (-9) - 5 * (-713)", "solution_steps": ["Divide: -535 / (-29) = 535/29", "Add: 535/29 + (-9) = 274/29", "Multiply: 5 * (-713) = -3565", "Subtract: 274/29 - (-3565) = 103659/29"], "final_answer": "103659/29", "answer_type": "rational", "kind": "expression", "math_text": "-535 / (-29) + (-9) - 5 * (-713)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -535, \"b\": -29, \"c\": -9, \"d\": 5, \"e\": -713}", "seed": "6121874934385814152", "semantic_fingerprint": "sha256:72bf94a1bab0186b63b356fbb80163a81a90b4ee8bac203e35b4ecc15dbd7df9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000631", "prompt": "What is 1 * (-58 + (-98) * 3)?", "solution_steps": ["Multiply: -98 * 3 = -294", "Add: -58 + (-294) = -352", "Multiply: 1 * (-352) = -352"], "final_answer": "-352", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-58 + (-98) * 3)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -58, \"c\": -98, \"d\": 3}", "seed": "18265993480051322290", "semantic_fingerprint": "sha256:8f9dc1a722ec31d136bf55ee788eca86303c5e1d9252867ae6e7c3c4afa51cb0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000632", "prompt": "Evaluate: 84 * 64 + (-691) + 9", "solution_steps": ["Multiply: 84 * 64 = 5376", "Add: 5376 + (-691) = 4685", "Add: 4685 + 9 = 4694"], "final_answer": "4694", "answer_type": "integer", "kind": "expression", "math_text": "84 * 64 + (-691) + 9", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 64, \"c\": -691, \"d\": 9}", "seed": "9464781764131372225", "semantic_fingerprint": "sha256:be396445b6dcafd104e6ba0fd811726373f544baa78bf8f755fab6aae6604d1c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000633", "prompt": "What is -2 * (-2 - 128 * 6) * 6 / (-85)?", "solution_steps": ["Multiply: 128 * 6 = 768", "Subtract: -2 - 768 = -770", "Multiply: -2 * (-770) = 1540", "Multiply: 1540 * 6 = 9240", "Divide: 9240 / (-85) = -1848/17"], "final_answer": "-1848/17", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-2 - 128 * 6) * 6 / (-85)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n (- n (* n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": 128, \"d\": 6, \"e\": 6, \"f\": -85}", "seed": "11521725245091227699", "semantic_fingerprint": "sha256:220c9720eac5929a1b31155c8b01713db1952edf56a20d72355673062ae86ba2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000634", "prompt": "Find x: 10x = -11(x + 15) + 2", "solution_steps": ["Expand: 10x = -11x - 165 + 2", "Combine constants: 10x = -11x - 163", "Add 11x to both sides: 21x = -163", "Divide both sides by 21: x = -163/21"], "final_answer": "-163/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = -11(x + 15) + 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -11, \"c\": 15, \"d\": 2}", "seed": "10466002714999137055", "semantic_fingerprint": "sha256:bafe79284ada457ef4c1c306f34b3a90f7fa1f49278def3cf80df1500689f452", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000635", "prompt": "What is 53 - (18 + 37) * (44 - 33)?", "solution_steps": ["Add: 18 + 37 = 55", "Subtract: 44 - 33 = 11", "Multiply: 55 * 11 = 605", "Subtract: 53 - 605 = -552"], "final_answer": "-552", "answer_type": "integer", "kind": "expression", "math_text": "53 - (18 + 37) * (44 - 33)", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 18, \"c\": 37, \"d\": 44, \"e\": 33}", "seed": "4083886708385462532", "semantic_fingerprint": "sha256:8b4ea83a85df42859113e9aa4e3b270ea3c56e8a58932f6195dbd41e9605687f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000636", "prompt": "What value of x satisfies 2x - 44 = 4(x - 8)?", "solution_steps": ["Expand: 2x - 44 = 4x - 32", "Subtract 4x from both sides: -2x - 44 = -32", "Add 44 to both sides: -2x = 12", "Divide both sides by -2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 44 = 4(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 8, \"e\": -44, \"x\": -6}", "seed": "11628359693743903924", "semantic_fingerprint": "sha256:427e11ae42e9e3ac5a59ef947310603ca55262e3572d4a9a71f22c7156d87a88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000637", "prompt": "Solve the equation 8x = 2(x + 9) + 42 for x.", "solution_steps": ["Expand: 8x = 2x + 18 + 42", "Combine constants: 8x = 2x + 60", "Subtract 2x from both sides: 6x = 60", "Divide both sides by 6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 2(x + 9) + 42", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 9, \"e\": 42, \"x\": 10}", "seed": "2617992835991923376", "semantic_fingerprint": "sha256:b195d726de424c61f6461d348a3b44b10d32da013d6e2b0d7a83b5865a8dd005", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000638", "prompt": "What is (571 - (-9)) / (-17) * (-1 / 95)?", "solution_steps": ["Subtract: 571 - (-9) = 580", "Divide: 580 / (-17) = -580/17", "Divide: -1 / 95 = -1/95", "Multiply: (-580/17) * (-1/95) = 116/323"], "final_answer": "116/323", "answer_type": "rational", "kind": "expression", "math_text": "(571 - (-9)) / (-17) * (-1 / 95)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 571, \"b\": -9, \"c\": -17, \"d\": -1, \"e\": 95}", "seed": "12880453443760377438", "semantic_fingerprint": "sha256:a6505b2b49dc6e0babe43b154d21f17347d2dcf7ab4f11b3e285bc319bcf4b1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000639", "prompt": "What value of x satisfies 5(x + 85) = -12(x - 23) + 455?", "solution_steps": ["Expand: 5x + 425 = -12(x - 23) + 455", "Expand: 5x + 425 = -12x + 276 + 455", "Combine constants: 5x + 425 = -12x + 731", "Add 12x to both sides: 17x + 425 = 731", "Subtract 425 from both sides: 17x = 306", "Divide both sides by 17: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 85) = -12(x - 23) + 455", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 85, \"c\": -12, \"d\": 23, \"f\": 455, \"x\": 18}", "seed": "1225782290808823457", "semantic_fingerprint": "sha256:a98e66598569fdd95ad4c006ecb71cb3c2b40a95a66031813b32bce07f93e177", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000640", "prompt": "Compute: -6 * (-6) * (-2 / 6)", "solution_steps": ["Multiply: -6 * (-6) = 36", "Divide: -2 / 6 = -1/3", "Multiply: 36 * (-1/3) = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-6) * (-2 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -6, \"c\": -2, \"d\": 6}", "seed": "4713554507988090199", "semantic_fingerprint": "sha256:73adb2ca4b5825475cad37faf05dace89e2caff0fe7bcd275d317d6ea254688b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000641", "prompt": "Calculate: (-39 - (-93) - (-19)) * (-9)", "solution_steps": ["Subtract: -39 - (-93) = 54", "Subtract: 54 - (-19) = 73", "Multiply: 73 * (-9) = -657"], "final_answer": "-657", "answer_type": "integer", "kind": "expression", "math_text": "(-39 - (-93) - (-19)) * (-9)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -93, \"c\": -19, \"d\": -9}", "seed": "13694540714945218681", "semantic_fingerprint": "sha256:0fc02a216cfb7abc34119f1e1b07c7bfed1d5e18ac5b83e8f4139a716f9c3c2b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000642", "prompt": "Compute: -71 * (-3) * (-1 / 2)", "solution_steps": ["Multiply: -71 * (-3) = 213", "Divide: -1 / 2 = -1/2", "Multiply: 213 * (-1/2) = -213/2"], "final_answer": "-213/2", "answer_type": "rational", "kind": "expression", "math_text": "-71 * (-3) * (-1 / 2)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -3, \"c\": -1, \"d\": 2}", "seed": "2577899839239498083", "semantic_fingerprint": "sha256:d885967f6156b9cedb5695c642c9149596ea35a3ddb16ec840b1a3fe909e1cde", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000643", "prompt": "Solve the equation 11(x + 3) = 7(x - 63) + 446 for x.", "solution_steps": ["Expand: 11x + 33 = 7(x - 63) + 446", "Expand: 11x + 33 = 7x - 441 + 446", "Combine constants: 11x + 33 = 7x + 5", "Subtract 7x from both sides: 4x + 33 = 5", "Subtract 33 from both sides: 4x = -28", "Divide both sides by 4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 3) = 7(x - 63) + 446", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 7, \"d\": 63, \"f\": 446, \"x\": -7}", "seed": "7507410724350803450", "semantic_fingerprint": "sha256:1de6a656a05c6b2c8c9204efb1a93f2e7e101050503fc2bcda21b325629ffa10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000644", "prompt": "Calculate: -41 - (-31 - (-20)) - (35 + 0)", "solution_steps": ["Subtract: -31 - (-20) = -11", "Subtract: -41 - (-11) = -30", "Add: 35 + 0 = 35", "Subtract: -30 - 35 = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "-41 - (-31 - (-20)) - (35 + 0)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -31, \"c\": -20, \"d\": 35, \"e\": 0}", "seed": "990011020693874392", "semantic_fingerprint": "sha256:70b9ca7705d840ab29de361c16efaea42997a6a3b6bde2bc64251899f47fa024", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000645", "prompt": "What is -551 * (-16) - (-8) * 6 * (-4 / 21)?", "solution_steps": ["Multiply: -551 * (-16) = 8816", "Multiply: -8 * 6 = -48", "Divide: -4 / 21 = -4/21", "Multiply: -48 * (-4/21) = 64/7", "Subtract: 8816 - 64/7 = 61648/7"], "final_answer": "61648/7", "answer_type": "rational", "kind": "expression", "math_text": "-551 * (-16) - (-8) * 6 * (-4 / 21)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -551, \"b\": -16, \"c\": -8, \"d\": 6, \"e\": -4, \"f\": 21}", "seed": "4510316436579740668", "semantic_fingerprint": "sha256:ff3dd1c3bafa6fbcc099cdb8880a9f4d79cc25b8f63fc1f280b667dab56343f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000646", "prompt": "Solve the equation 4x = 11(x + 8) - 200 for x.", "solution_steps": ["Expand: 4x = 11x + 88 - 200", "Combine constants: 4x = 11x - 112", "Subtract 11x from both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 11(x + 8) - 200", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 11, \"c\": 8, \"e\": -200, \"x\": 16}", "seed": "4453501534890427407", "semantic_fingerprint": "sha256:f2d733f4722a76fd56113aea5cc45c89bbf021f661f77f89fd2cdbcb9b1cfd3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000647", "prompt": "Find x: 7x - 284 = 4(x - 68)", "solution_steps": ["Expand: 7x - 284 = 4x - 272", "Subtract 4x from both sides: 3x - 284 = -272", "Add 284 to both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 284 = 4(x - 68)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 68, \"e\": -284, \"x\": 4}", "seed": "8929504104859105371", "semantic_fingerprint": "sha256:1d9859004c02baa94e28424acefa85ccca54360172088cb4c901bc3570a93641", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000648", "prompt": "Solve the equation 5x - 97 = 7x - 881 for x.", "solution_steps": ["Subtract 7x from both sides: -2x - 97 = -881", "Add 97 to both sides: -2x = -784", "Divide both sides by -2: x = 392"], "final_answer": "392", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 97 = 7x - 881", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 97, \"c\": 7, \"d\": 881}", "seed": "6749464357764887649", "semantic_fingerprint": "sha256:3031af58ac489229ddd33ea778c8b2183c11a683c3fd442d40fcab012f35db1c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000649", "prompt": "What is 241 + (-44 - 80) * 47 + (735 + 78)?", "solution_steps": ["Subtract: -44 - 80 = -124", "Multiply: -124 * 47 = -5828", "Add: 241 + (-5828) = -5587", "Add: 735 + 78 = 813", "Add: -5587 + 813 = -4774"], "final_answer": "-4774", "answer_type": "integer", "kind": "expression", "math_text": "241 + (-44 - 80) * 47 + (735 + 78)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 241, \"b\": -44, \"c\": 80, \"d\": 47, \"e\": 735, \"f\": 78}", "seed": "6437592966392933034", "semantic_fingerprint": "sha256:ab7975e1c7bd163c4e5ccff5160c16c9415499f086acb0d0d7dbe29064f58f2b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000650", "prompt": "Evaluate: 44 - (62 + (-2 + (-26))) / 300", "solution_steps": ["Add: -2 + (-26) = -28", "Add: 62 + (-28) = 34", "Divide: 34 / 300 = 17/150", "Subtract: 44 - 17/150 = 6583/150"], "final_answer": "6583/150", "answer_type": "rational", "kind": "expression", "math_text": "44 - (62 + (-2 + (-26))) / 300", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 62, \"c\": -2, \"d\": -26, \"e\": 300}", "seed": "4106168911505313308", "semantic_fingerprint": "sha256:5611fdd1a62759ba45fb5288931c6248c3d2bc106009e1926e0b7c864699da8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000651", "prompt": "Calculate: (-89 - 55 * 52) / (-30 * (-144) / (-225))", "solution_steps": ["Multiply: 55 * 52 = 2860", "Subtract: -89 - 2860 = -2949", "Multiply: -30 * (-144) = 4320", "Divide: 4320 / (-225) = -96/5", "Divide: -2949 / (-96/5) = 4915/32"], "final_answer": "4915/32", "answer_type": "rational", "kind": "expression", "math_text": "(-89 - 55 * 52) / (-30 * (-144) / (-225))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 55, \"c\": 52, \"d\": -30, \"e\": -144, \"f\": -225}", "seed": "3378545146749030821", "semantic_fingerprint": "sha256:17d292c475583a78b28ff00e445fbca6b3175166d838e516a40bd7e14ecda7f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000652", "prompt": "What value of x satisfies -8x - 294 = -9x - 7?", "solution_steps": ["Add 9x to both sides: x - 294 = -7", "Add 294 to both sides: x = 287"], "final_answer": "287", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 294 = -9x - 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 294, \"c\": -9, \"d\": 7}", "seed": "9101624802122245366", "semantic_fingerprint": "sha256:095e655b8d0b0227c69dcca91c5b522c376d968e406e6300c6a2065701243594", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000653", "prompt": "Calculate: -56 * 7 + (7 - 45)", "solution_steps": ["Multiply: -56 * 7 = -392", "Subtract: 7 - 45 = -38", "Add: -392 + (-38) = -430"], "final_answer": "-430", "answer_type": "integer", "kind": "expression", "math_text": "-56 * 7 + (7 - 45)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 7, \"c\": 7, \"d\": 45}", "seed": "12867464056567693638", "semantic_fingerprint": "sha256:fd0fe22b762da61428370d3298c5330de7d7986e64f11467fa30b32054fba3c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000654", "prompt": "What value of x satisfies 12x - 41 = 6x - 622?", "solution_steps": ["Subtract 6x from both sides: 6x - 41 = -622", "Add 41 to both sides: 6x = -581", "Divide both sides by 6: x = -581/6"], "final_answer": "-581/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 41 = 6x - 622", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 41, \"c\": 6, \"d\": 622}", "seed": "7717027024562336977", "semantic_fingerprint": "sha256:ef30b569e6e436af4dd2f2d67e4a7ee157ff7faa79f86cb1d9eedffdb9f12c5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000655", "prompt": "Solve the equation -12x - 926 = 11(x - 80) for x.", "solution_steps": ["Expand: -12x - 926 = 11x - 880", "Subtract 11x from both sides: -23x - 926 = -880", "Add 926 to both sides: -23x = 46", "Divide both sides by -23: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 926 = 11(x - 80)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 11, \"c\": 80, \"e\": -926, \"x\": -2}", "seed": "12513548072745870910", "semantic_fingerprint": "sha256:d82aa22fb03cc9ffcb757d1655d190a4df511c904320aa0cfdee23ae0357525e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000656", "prompt": "Compute: -322 / (1 + 0) - (25 - (-501)) + (-364)", "solution_steps": ["Add: 1 + 0 = 1", "Divide: -322 / 1 = -322", "Subtract: 25 - (-501) = 526", "Subtract: -322 - 526 = -848", "Add: -848 + (-364) = -1212"], "final_answer": "-1212", "answer_type": "integer", "kind": "expression", "math_text": "-322 / (1 + 0) - (25 - (-501)) + (-364)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n (+ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -322, \"b\": 1, \"c\": 0, \"d\": 25, \"e\": -501, \"f\": -364}", "seed": "6960809811762576965", "semantic_fingerprint": "sha256:c1369eff4bdc84df83540157622e8a46c7b6a41806999823f27e74291d9f4ee8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000657", "prompt": "What is 7 - (6 / (-40) - (-4)) * 8?", "solution_steps": ["Divide: 6 / (-40) = -3/20", "Subtract: -3/20 - (-4) = 77/20", "Multiply: (77/20) * 8 = 154/5", "Subtract: 7 - 154/5 = -119/5"], "final_answer": "-119/5", "answer_type": "rational", "kind": "expression", "math_text": "7 - (6 / (-40) - (-4)) * 8", "variable": null, "family": "expression_4op", "shape": "(- n (* (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": -40, \"d\": -4, \"e\": 8}", "seed": "12040612924179863201", "semantic_fingerprint": "sha256:f0ac7a078b7c859ca42dc0d9beb12d3504b756f9a79f00f105447cdc809f089a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000658", "prompt": "Find x: 3x - 553 = -6x - 14", "solution_steps": ["Add 6x to both sides: 9x - 553 = -14", "Add 553 to both sides: 9x = 539", "Divide both sides by 9: x = 539/9"], "final_answer": "539/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 553 = -6x - 14", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 553, \"c\": -6, \"d\": 14}", "seed": "8285028696170793114", "semantic_fingerprint": "sha256:537c509a0df104250208b6eb625cb177c93a90f9d0e79e19094c8961bb863bba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000659", "prompt": "What value of x satisfies 8(x + 87) = -9(x - 9) + 836?", "solution_steps": ["Expand: 8x + 696 = -9(x - 9) + 836", "Expand: 8x + 696 = -9x + 81 + 836", "Combine constants: 8x + 696 = -9x + 917", "Add 9x to both sides: 17x + 696 = 917", "Subtract 696 from both sides: 17x = 221", "Divide both sides by 17: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 87) = -9(x - 9) + 836", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 87, \"c\": -9, \"d\": 9, \"f\": 836, \"x\": 13}", "seed": "7520274037981074668", "semantic_fingerprint": "sha256:7fe58b517212fdd3a6b2d1e9a043e8aca264f6828e244f580d7e875d274962fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000660", "prompt": "What value of x satisfies 12x - 756 = 9(x - 86)?", "solution_steps": ["Expand: 12x - 756 = 9x - 774", "Subtract 9x from both sides: 3x - 756 = -774", "Add 756 to both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 756 = 9(x - 86)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 86, \"e\": -756, \"x\": -6}", "seed": "8046875103717505751", "semantic_fingerprint": "sha256:eaba70c61a1d5f14883541846b7721ed14d67a828c6ecaed266c995911253bd0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000661", "prompt": "Evaluate: -48 - (-961) - (95 - 756 - (-15) * 73)", "solution_steps": ["Subtract: -48 - (-961) = 913", "Subtract: 95 - 756 = -661", "Multiply: -15 * 73 = -1095", "Subtract: -661 - (-1095) = 434", "Subtract: 913 - 434 = 479"], "final_answer": "479", "answer_type": "integer", "kind": "expression", "math_text": "-48 - (-961) - (95 - 756 - (-15) * 73)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- (- n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -961, \"c\": 95, \"d\": 756, \"e\": -15, \"f\": 73}", "seed": "18390479325792952841", "semantic_fingerprint": "sha256:1ea9570b7d24fba9244e0a4376f66acc1ece7a743552cd796b1855f67dc95e98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000662", "prompt": "Find x: 8x = 4(x + 59) - 517", "solution_steps": ["Expand: 8x = 4x + 236 - 517", "Combine constants: 8x = 4x - 281", "Subtract 4x from both sides: 4x = -281", "Divide both sides by 4: x = -281/4"], "final_answer": "-281/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 4(x + 59) - 517", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 59, \"d\": 517}", "seed": "7630994964710685200", "semantic_fingerprint": "sha256:08e34500476f2832511ba7cbf0f1047a43bbfbdb315bd2846f44b6cc1de5f8d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000663", "prompt": "Evaluate: 84 * 76 * (90 / 61)", "solution_steps": ["Multiply: 84 * 76 = 6384", "Divide: 90 / 61 = 90/61", "Multiply: 6384 * (90/61) = 574560/61"], "final_answer": "574560/61", "answer_type": "rational", "kind": "expression", "math_text": "84 * 76 * (90 / 61)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 76, \"c\": 90, \"d\": 61}", "seed": "1776787253746214665", "semantic_fingerprint": "sha256:9877b8a01d5081133572481ad3a4fd9c1dedd5cfa8526a980d399c3562a42ba9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000664", "prompt": "Solve the equation -9x - 90 = 4x - 38 for x.", "solution_steps": ["Subtract 4x from both sides: -13x - 90 = -38", "Add 90 to both sides: -13x = 52", "Divide both sides by -13: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 90 = 4x - 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 90, \"c\": 4, \"e\": -38, \"x\": -4}", "seed": "12965508208388798798", "semantic_fingerprint": "sha256:e26e05d928235bf5c180fa8d0f980859dbd5ce6a08c01042f3bd6483aa6c30f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000665", "prompt": "What value of x satisfies -12(x - 73) - 5 = x + 897?", "solution_steps": ["Expand: -12x + 876 - 5 = x + 897", "Combine constants: -12x + 871 = x + 897", "Subtract x from both sides: -13x + 871 = 897", "Subtract 871 from both sides: -13x = 26", "Divide both sides by -13: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 73) - 5 = x + 897", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 73, \"c\": 5, \"e\": 897, \"x\": -2}", "seed": "11039447071203417352", "semantic_fingerprint": "sha256:6681e00ef7932608d40c85b75294dee18c12af071ce64726c6852328acf7daa0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000666", "prompt": "Compute: -5 * (-2) + (-9 - 487)", "solution_steps": ["Multiply: -5 * (-2) = 10", "Subtract: -9 - 487 = -496", "Add: 10 + (-496) = -486"], "final_answer": "-486", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-2) + (-9 - 487)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -2, \"c\": -9, \"d\": 487}", "seed": "548576391207109726", "semantic_fingerprint": "sha256:a7b6481e63aad3abacc0565069c03c9ce4f43d0b83d1b709917ff14fee3fccac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000667", "prompt": "Calculate: (-97 - 3 * (-2) * 77) * (-7)", "solution_steps": ["Multiply: 3 * (-2) = -6", "Multiply: -6 * 77 = -462", "Subtract: -97 - (-462) = 365", "Multiply: 365 * (-7) = -2555"], "final_answer": "-2555", "answer_type": "integer", "kind": "expression", "math_text": "(-97 - 3 * (-2) * 77) * (-7)", "variable": null, "family": "expression_4op", "shape": "(* (- n (* (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 3, \"c\": -2, \"d\": 77, \"e\": -7}", "seed": "10099345655593212357", "semantic_fingerprint": "sha256:e7759cfd569e3dc14eefad3907b0f22a1563170068e2a20c02b3065190988ad5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000668", "prompt": "Evaluate: 8 * 86 + 2 + 0", "solution_steps": ["Multiply: 8 * 86 = 688", "Add: 688 + 2 = 690", "Add: 690 + 0 = 690"], "final_answer": "690", "answer_type": "integer", "kind": "expression", "math_text": "8 * 86 + 2 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 86, \"c\": 2, \"d\": 0}", "seed": "10337670072430644852", "semantic_fingerprint": "sha256:0fb99277283cbc2ea8bbff1eb77568ed943d8f9f7d7ec031735f58c18bd50ac0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000669", "prompt": "Calculate: (47 + 37) / 30 + (-87)", "solution_steps": ["Add: 47 + 37 = 84", "Divide: 84 / 30 = 14/5", "Add: 14/5 + (-87) = -421/5"], "final_answer": "-421/5", "answer_type": "rational", "kind": "expression", "math_text": "(47 + 37) / 30 + (-87)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 37, \"c\": 30, \"d\": -87}", "seed": "774926107941550482", "semantic_fingerprint": "sha256:d77aed1c88aca6c858bcc1d3b74e9ca2bcc75bf06a0ab52196db8e76f183276d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000670", "prompt": "Solve for x: -9x - 52 = 4x - 52", "solution_steps": ["Subtract 4x from both sides: -13x - 52 = -52", "Add 52 to both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 52 = 4x - 52", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 52, \"c\": 4, \"e\": -52, \"x\": 0}", "seed": "17140764541607097538", "semantic_fingerprint": "sha256:27bff9362b078f6d57388953743cf4de143fbb0046a1db29d60403ee0b02d672", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000671", "prompt": "Compute: -26 * 69 + (-98) + 307 / 47", "solution_steps": ["Multiply: -26 * 69 = -1794", "Add: -1794 + (-98) = -1892", "Divide: 307 / 47 = 307/47", "Add: -1892 + 307/47 = -88617/47"], "final_answer": "-88617/47", "answer_type": "rational", "kind": "expression", "math_text": "-26 * 69 + (-98) + 307 / 47", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 69, \"c\": -98, \"d\": 307, \"e\": 47}", "seed": "17645589255424072734", "semantic_fingerprint": "sha256:441a83775c83206dd102bba0562b98b614ab51604de31a108586358458616218", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000672", "prompt": "Evaluate: 1 * (-1) + 8 * 8", "solution_steps": ["Multiply: 1 * (-1) = -1", "Multiply: 8 * 8 = 64", "Add: -1 + 64 = 63"], "final_answer": "63", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-1) + 8 * 8", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -1, \"c\": 8, \"d\": 8}", "seed": "8050116819629154054", "semantic_fingerprint": "sha256:b4bd570cc331a2493c5999a8871dac35bc8945a29c9c4bcbec06245726063bb8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000673", "prompt": "Solve for x: 9(x - 574) + 86 = 5(x + 6)", "solution_steps": ["Expand: 9x - 5166 + 86 = 5(x + 6)", "Expand: 9x - 5166 + 86 = 5x + 30", "Combine constants: 9x - 5080 = 5x + 30", "Subtract 5x from both sides: 4x - 5080 = 30", "Add 5080 to both sides: 4x = 5110", "Divide both sides by 4: x = 2555/2"], "final_answer": "2555/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 574) + 86 = 5(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 574, \"c\": 86, \"d\": 5, \"e\": 6}", "seed": "15127946943875500439", "semantic_fingerprint": "sha256:ba7ab04a93d29af1bc5160facb3fb0ce645f29f451e67cfca17b6452806a98b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000674", "prompt": "What is -7 / (-222 - (-8) + (75 - 8 + (-9)))?", "solution_steps": ["Subtract: -222 - (-8) = -214", "Subtract: 75 - 8 = 67", "Add: 67 + (-9) = 58", "Add: -214 + 58 = -156", "Divide: -7 / (-156) = 7/156"], "final_answer": "7/156", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-222 - (-8) + (75 - 8 + (-9)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (- n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -222, \"c\": -8, \"d\": 75, \"e\": 8, \"f\": -9}", "seed": "14181642806147775999", "semantic_fingerprint": "sha256:48b0752b84d6bdec389e22ec825db2b2133fbb0d0a76a17f7e03bf8aed3ab1e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000675", "prompt": "Evaluate: -79 / (14 / (-38) - (-24)) * (-4)", "solution_steps": ["Divide: 14 / (-38) = -7/19", "Subtract: -7/19 - (-24) = 449/19", "Divide: -79 / (449/19) = -1501/449", "Multiply: (-1501/449) * (-4) = 6004/449"], "final_answer": "6004/449", "answer_type": "rational", "kind": "expression", "math_text": "-79 / (14 / (-38) - (-24)) * (-4)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 14, \"c\": -38, \"d\": -24, \"e\": -4}", "seed": "5310058393106248094", "semantic_fingerprint": "sha256:d1e236e9df19d979b35529f3e77f3a4295da922d766faec17dcbb520e8e25c68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000676", "prompt": "What is -682 / (-12 / (-3)) * (655 - (-3))?", "solution_steps": ["Divide: -12 / (-3) = 4", "Divide: -682 / 4 = -341/2", "Subtract: 655 - (-3) = 658", "Multiply: (-341/2) * 658 = -112189"], "final_answer": "-112189", "answer_type": "integer", "kind": "expression", "math_text": "-682 / (-12 / (-3)) * (655 - (-3))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -682, \"b\": -12, \"c\": -3, \"d\": 655, \"e\": -3}", "seed": "3460699781658907387", "semantic_fingerprint": "sha256:942de7be4e4cc5e40e70b74c9881a92d875015aa8fb31b7c2a72f36253663168", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000677", "prompt": "Solve for x: 5(x - 1) + 350 = 12(x + 34)", "solution_steps": ["Expand: 5x - 5 + 350 = 12(x + 34)", "Expand: 5x - 5 + 350 = 12x + 408", "Combine constants: 5x + 345 = 12x + 408", "Subtract 12x from both sides: -7x + 345 = 408", "Subtract 345 from both sides: -7x = 63", "Divide both sides by -7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 1) + 350 = 12(x + 34)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 12, \"d\": 34, \"f\": 350, \"x\": -9}", "seed": "12506834862319341451", "semantic_fingerprint": "sha256:22eed9bcaacfb337f5d04cd7c05ba04854ab877da23d3119b30f2de0a4bc874b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000678", "prompt": "Evaluate: 664 + (96 - (-44 + 716))", "solution_steps": ["Add: -44 + 716 = 672", "Subtract: 96 - 672 = -576", "Add: 664 + (-576) = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "664 + (96 - (-44 + 716))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 664, \"b\": 96, \"c\": -44, \"d\": 716}", "seed": "13938007929700821052", "semantic_fingerprint": "sha256:0e316bd73d921bdd625f61800387b8214cc085f6a6382708c39551a0918320a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000679", "prompt": "Compute: (403 / (-461) * 2 - 80) / (-3)", "solution_steps": ["Divide: 403 / (-461) = -403/461", "Multiply: (-403/461) * 2 = -806/461", "Subtract: -806/461 - 80 = -37686/461", "Divide: (-37686/461) / (-3) = 12562/461"], "final_answer": "12562/461", "answer_type": "rational", "kind": "expression", "math_text": "(403 / (-461) * 2 - 80) / (-3)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 403, \"b\": -461, \"c\": 2, \"d\": 80, \"e\": -3}", "seed": "5474915440199732585", "semantic_fingerprint": "sha256:8e10f125bcddc21b4be0ff728226728226ee27b4a98eac8455b6ae41efc91f83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000680", "prompt": "Solve for x: 8(x + 7) + 77 = x + 77", "solution_steps": ["Expand: 8x + 56 + 77 = x + 77", "Combine constants: 8x + 133 = x + 77", "Subtract x from both sides: 7x + 133 = 77", "Subtract 133 from both sides: 7x = -56", "Divide both sides by 7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 7) + 77 = x + 77", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 77, \"e\": 77, \"x\": -8}", "seed": "12069076553905355179", "semantic_fingerprint": "sha256:47380b998625332d600a3c41f311054b2d8f4cfa50a6ae12f3877ff97d883adf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000681", "prompt": "Compute: -46 / (-395) * ((-2 + (-72)) * 41 / 4)", "solution_steps": ["Divide: -46 / (-395) = 46/395", "Add: -2 + (-72) = -74", "Multiply: -74 * 41 = -3034", "Divide: -3034 / 4 = -1517/2", "Multiply: (46/395) * (-1517/2) = -34891/395"], "final_answer": "-34891/395", "answer_type": "rational", "kind": "expression", "math_text": "-46 / (-395) * ((-2 + (-72)) * 41 / 4)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (/ (* (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -395, \"c\": -2, \"d\": -72, \"e\": 41, \"f\": 4}", "seed": "12942940982869400893", "semantic_fingerprint": "sha256:8b82f8526037cbaa74387ca76732a6d27a4b04026cc30afdec7b380a1cba047e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000682", "prompt": "Compute: -96 * 30 * (-44 / 20)", "solution_steps": ["Multiply: -96 * 30 = -2880", "Divide: -44 / 20 = -11/5", "Multiply: -2880 * (-11/5) = 6336"], "final_answer": "6336", "answer_type": "integer", "kind": "expression", "math_text": "-96 * 30 * (-44 / 20)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 30, \"c\": -44, \"d\": 20}", "seed": "12970449351321654474", "semantic_fingerprint": "sha256:405e9f1c44e723cab74403ad7129dce05e18786dd4a47320166248e4252b4c72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000683", "prompt": "What value of x satisfies 12(x + 7) + 87 = x + 90?", "solution_steps": ["Expand: 12x + 84 + 87 = x + 90", "Combine constants: 12x + 171 = x + 90", "Subtract x from both sides: 11x + 171 = 90", "Subtract 171 from both sides: 11x = -81", "Divide both sides by 11: x = -81/11"], "final_answer": "-81/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 7) + 87 = x + 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 87, \"d\": 90}", "seed": "14247301600222172010", "semantic_fingerprint": "sha256:bbeb78041295c6ef1c9e1e989b0f37a0966bcd91435329a50ea4c87a9731fe8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000684", "prompt": "Find x: 5x - 38 = -4(x - 9)", "solution_steps": ["Expand: 5x - 38 = -4x + 36", "Add 4x to both sides: 9x - 38 = 36", "Add 38 to both sides: 9x = 74", "Divide both sides by 9: x = 74/9"], "final_answer": "74/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 38 = -4(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 38, \"c\": -4, \"d\": 9}", "seed": "6980939341809749839", "semantic_fingerprint": "sha256:c48a042255cad13f22cce8e8e67d30d98c9034014ada5cd48ce9fdf43742941c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000685", "prompt": "Evaluate: (-244 - 9 * 549) / (-61)", "solution_steps": ["Multiply: 9 * 549 = 4941", "Subtract: -244 - 4941 = -5185", "Divide: -5185 / (-61) = 85"], "final_answer": "85", "answer_type": "integer", "kind": "expression", "math_text": "(-244 - 9 * 549) / (-61)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -244, \"b\": 9, \"c\": 549, \"d\": -61}", "seed": "17403789909007074856", "semantic_fingerprint": "sha256:aa2d1db3fec142cf336b42827ee0d4bb306da3b77a9ed373c1591fb9aafc3895", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000686", "prompt": "What is 87 * (-7 * (567 / (-3 - (43 + 5))))?", "solution_steps": ["Add: 43 + 5 = 48", "Subtract: -3 - 48 = -51", "Divide: 567 / (-51) = -189/17", "Multiply: -7 * (-189/17) = 1323/17", "Multiply: 87 * (1323/17) = 115101/17"], "final_answer": "115101/17", "answer_type": "rational", "kind": "expression", "math_text": "87 * (-7 * (567 / (-3 - (43 + 5))))", "variable": null, "family": "expression_5op", "shape": "(* n (* n (/ n (- n (+ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -7, \"c\": 567, \"d\": -3, \"e\": 43, \"f\": 5}", "seed": "11614999947446751776", "semantic_fingerprint": "sha256:f5c4bbf9433a72bcd8d12f3dac643a58d43a07a731b560e6a5479b3460afa094", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000687", "prompt": "Calculate: 0 * (441 + 11) + (1 + 6)", "solution_steps": ["Add: 441 + 11 = 452", "Multiply: 0 * 452 = 0", "Add: 1 + 6 = 7", "Add: 0 + 7 = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "0 * (441 + 11) + (1 + 6)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 441, \"c\": 11, \"d\": 1, \"e\": 6}", "seed": "15929991890424107448", "semantic_fingerprint": "sha256:b95013f60bababaddd1982d9735ca2af1b4a9a8a00f17e92fc2b728bccc88da7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000688", "prompt": "Solve the equation 3x - 581 = 10(x - 49) for x.", "solution_steps": ["Expand: 3x - 581 = 10x - 490", "Subtract 10x from both sides: -7x - 581 = -490", "Add 581 to both sides: -7x = 91", "Divide both sides by -7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 581 = 10(x - 49)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 10, \"c\": 49, \"e\": -581, \"x\": -13}", "seed": "15762560627694909191", "semantic_fingerprint": "sha256:477e966a11abfef81de5d07e8cbecaad5275e4d4455020b0301e06769723e259", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000689", "prompt": "Compute: 38 / (17 - (-9) + (1 + 206) + (-9))", "solution_steps": ["Subtract: 17 - (-9) = 26", "Add: 1 + 206 = 207", "Add: 26 + 207 = 233", "Add: 233 + (-9) = 224", "Divide: 38 / 224 = 19/112"], "final_answer": "19/112", "answer_type": "rational", "kind": "expression", "math_text": "38 / (17 - (-9) + (1 + 206) + (-9))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (+ (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 17, \"c\": -9, \"d\": 1, \"e\": 206, \"f\": -9}", "seed": "18111515238500190241", "semantic_fingerprint": "sha256:35dfd244dcd9f03f842e2f9f6739c6ff16250842344a4a94e484f454a65012e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000690", "prompt": "Find x: -11x - 38 = -4(x - 61)", "solution_steps": ["Expand: -11x - 38 = -4x + 244", "Add 4x to both sides: -7x - 38 = 244", "Add 38 to both sides: -7x = 282", "Divide both sides by -7: x = -282/7"], "final_answer": "-282/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 38 = -4(x - 61)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 38, \"c\": -4, \"d\": 61}", "seed": "12292361774465092531", "semantic_fingerprint": "sha256:4a8dd991bd232a41d35283219e32b4aca418864a43a037bb535d865da5edf34c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000691", "prompt": "Find x: 10(x + 6) + 98 = x + 32", "solution_steps": ["Expand: 10x + 60 + 98 = x + 32", "Combine constants: 10x + 158 = x + 32", "Subtract x from both sides: 9x + 158 = 32", "Subtract 158 from both sides: 9x = -126", "Divide both sides by 9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) + 98 = x + 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 98, \"e\": 32, \"x\": -14}", "seed": "4520275897367954194", "semantic_fingerprint": "sha256:1078fba2357b3fc1969598bd8a7c9e7cb6dd874a93c193420647792f8d1e2c2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000692", "prompt": "Calculate: -406 - (94 + (-53)) / (-468)", "solution_steps": ["Add: 94 + (-53) = 41", "Divide: 41 / (-468) = -41/468", "Subtract: -406 - (-41/468) = -189967/468"], "final_answer": "-189967/468", "answer_type": "rational", "kind": "expression", "math_text": "-406 - (94 + (-53)) / (-468)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -406, \"b\": 94, \"c\": -53, \"d\": -468}", "seed": "9086330190387582084", "semantic_fingerprint": "sha256:9eb43912e36725150eb84eec043f3ee979d1a69527c9025c4d33a486f58744ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000693", "prompt": "Compute: (-15 / 432 - 22) * (-44)", "solution_steps": ["Divide: -15 / 432 = -5/144", "Subtract: -5/144 - 22 = -3173/144", "Multiply: (-3173/144) * (-44) = 34903/36"], "final_answer": "34903/36", "answer_type": "rational", "kind": "expression", "math_text": "(-15 / 432 - 22) * (-44)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 432, \"c\": 22, \"d\": -44}", "seed": "17392975092317538419", "semantic_fingerprint": "sha256:3d52f18595e40552dda301ea300ce0869e4ec9437720f220598c127f949b5e37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000694", "prompt": "Compute: 8 * 47 * (-62 * (-31)) / (-681)", "solution_steps": ["Multiply: 8 * 47 = 376", "Multiply: -62 * (-31) = 1922", "Multiply: 376 * 1922 = 722672", "Divide: 722672 / (-681) = -722672/681"], "final_answer": "-722672/681", "answer_type": "rational", "kind": "expression", "math_text": "8 * 47 * (-62 * (-31)) / (-681)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 47, \"c\": -62, \"d\": -31, \"e\": -681}", "seed": "2198867700386238628", "semantic_fingerprint": "sha256:0b31e54ba8f6a62bb1b1e858d615e511f24f4110ace8a46a7a7c65a9ebe9709d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000695", "prompt": "Solve the equation 8x - 60 = 3(x - 422) for x.", "solution_steps": ["Expand: 8x - 60 = 3x - 1266", "Subtract 3x from both sides: 5x - 60 = -1266", "Add 60 to both sides: 5x = -1206", "Divide both sides by 5: x = -1206/5"], "final_answer": "-1206/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 60 = 3(x - 422)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 60, \"c\": 3, \"d\": 422}", "seed": "7290268652842865320", "semantic_fingerprint": "sha256:7fd3a4c51571725846e3fcf6b1f104d70901324c3033775fd0873caef52964af", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000696", "prompt": "Calculate: 30 / 99 / ((-29 - (-39)) / (-726))", "solution_steps": ["Divide: 30 / 99 = 10/33", "Subtract: -29 - (-39) = 10", "Divide: 10 / (-726) = -5/363", "Divide: (10/33) / (-5/363) = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "30 / 99 / ((-29 - (-39)) / (-726))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 99, \"c\": -29, \"d\": -39, \"e\": -726}", "seed": "3709985294802708839", "semantic_fingerprint": "sha256:622232850534007ccca7c1dd7edb9bf47e47298cc1731375875b116764087cfa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000697", "prompt": "Solve for x: 9(x + 6) - 98 = x + 68", "solution_steps": ["Expand: 9x + 54 - 98 = x + 68", "Combine constants: 9x - 44 = x + 68", "Subtract x from both sides: 8x - 44 = 68", "Add 44 to both sides: 8x = 112", "Divide both sides by 8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 6) - 98 = x + 68", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 98, \"e\": 68, \"x\": 14}", "seed": "2230658725621553100", "semantic_fingerprint": "sha256:c67e0c35a36339113f715cddffff32d769991a25978a011e11f89966e7841c3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000698", "prompt": "Solve the equation -2(x + 6) = 5(x - 9) + 89 for x.", "solution_steps": ["Expand: -2x - 12 = 5(x - 9) + 89", "Expand: -2x - 12 = 5x - 45 + 89", "Combine constants: -2x - 12 = 5x + 44", "Subtract 5x from both sides: -7x - 12 = 44", "Add 12 to both sides: -7x = 56", "Divide both sides by -7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 6) = 5(x - 9) + 89", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 5, \"d\": 9, \"f\": 89, \"x\": -8}", "seed": "10942891564891734573", "semantic_fingerprint": "sha256:286f8b2552b85abeff654d0a311e18084714575ea774ce0af4706cd85b03d0e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000699", "prompt": "What is -9 * (-26) / (-76) + (-8) + (-7)?", "solution_steps": ["Multiply: -9 * (-26) = 234", "Divide: 234 / (-76) = -117/38", "Add: -117/38 + (-8) = -421/38", "Add: -421/38 + (-7) = -687/38"], "final_answer": "-687/38", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-26) / (-76) + (-8) + (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -26, \"c\": -76, \"d\": -8, \"e\": -7}", "seed": "15719222412618104141", "semantic_fingerprint": "sha256:9810bb3480bee0f5078bfc7fe7af2843d0b97256d5865f124c6a1c6001f852db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000700", "prompt": "Evaluate: 68 - (-513) - (-61) * (99 + (-60 + (-29)))", "solution_steps": ["Subtract: 68 - (-513) = 581", "Add: -60 + (-29) = -89", "Add: 99 + (-89) = 10", "Multiply: -61 * 10 = -610", "Subtract: 581 - (-610) = 1191"], "final_answer": "1191", "answer_type": "integer", "kind": "expression", "math_text": "68 - (-513) - (-61) * (99 + (-60 + (-29)))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -513, \"c\": -61, \"d\": 99, \"e\": -60, \"f\": -29}", "seed": "13173987635810290176", "semantic_fingerprint": "sha256:6548a531c19eb0a5abadf023eb89ecb8b8a71e8cdb119b1217e11a179512bd2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000701", "prompt": "Compute: 69 + (-11) + (-38 - (-4)) / 733", "solution_steps": ["Add: 69 + (-11) = 58", "Subtract: -38 - (-4) = -34", "Divide: -34 / 733 = -34/733", "Add: 58 + (-34/733) = 42480/733"], "final_answer": "42480/733", "answer_type": "rational", "kind": "expression", "math_text": "69 + (-11) + (-38 - (-4)) / 733", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -11, \"c\": -38, \"d\": -4, \"e\": 733}", "seed": "5757236515428527173", "semantic_fingerprint": "sha256:983b8f1e420e981542ec5eaa2f43c895f87cb4fa1c72c8be8ffb09c6b55db66b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000702", "prompt": "Solve for x: 2(x + 380) - 387 = x + 371", "solution_steps": ["Expand: 2x + 760 - 387 = x + 371", "Combine constants: 2x + 373 = x + 371", "Subtract x from both sides: x + 373 = 371", "Subtract 373 from both sides: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 380) - 387 = x + 371", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 380, \"c\": 387, \"e\": 371, \"x\": -2}", "seed": "14233029460790062606", "semantic_fingerprint": "sha256:63db470e956a0585104a76d15fac424842c9e94929ba6ff9d3c8fc1e5b39357b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000703", "prompt": "What is -72 / (29 / (-97)) - (-122) * (-20)?", "solution_steps": ["Divide: 29 / (-97) = -29/97", "Divide: -72 / (-29/97) = 6984/29", "Multiply: -122 * (-20) = 2440", "Subtract: 6984/29 - 2440 = -63776/29"], "final_answer": "-63776/29", "answer_type": "rational", "kind": "expression", "math_text": "-72 / (29 / (-97)) - (-122) * (-20)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 29, \"c\": -97, \"d\": -122, \"e\": -20}", "seed": "16444989477018940523", "semantic_fingerprint": "sha256:0ceb82f0e8e7452398d0b3cf84768941418fff4953b7a541fa4c9b0f559613b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000704", "prompt": "What value of x satisfies 7(x + 82) = 2(x - 450) + 123?", "solution_steps": ["Expand: 7x + 574 = 2(x - 450) + 123", "Expand: 7x + 574 = 2x - 900 + 123", "Combine constants: 7x + 574 = 2x - 777", "Subtract 2x from both sides: 5x + 574 = -777", "Subtract 574 from both sides: 5x = -1351", "Divide both sides by 5: x = -1351/5"], "final_answer": "-1351/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 82) = 2(x - 450) + 123", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 82, \"c\": 2, \"d\": 450, \"e\": 123}", "seed": "2436138346175659085", "semantic_fingerprint": "sha256:03678e7ae09070291053475c783387f61083df7cc9394c428baac1eac362d305", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000705", "prompt": "What value of x satisfies 11(x + 6) + 570 = x + 616?", "solution_steps": ["Expand: 11x + 66 + 570 = x + 616", "Combine constants: 11x + 636 = x + 616", "Subtract x from both sides: 10x + 636 = 616", "Subtract 636 from both sides: 10x = -20", "Divide both sides by 10: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 6) + 570 = x + 616", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 570, \"e\": 616, \"x\": -2}", "seed": "18404036688169178368", "semantic_fingerprint": "sha256:1ba2af96b17b6deebd0b7b1d7a102ccff54b3f196bb2885d6e467483872f5872", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000706", "prompt": "Evaluate: (13 + 132) / 303 + (-678)", "solution_steps": ["Add: 13 + 132 = 145", "Divide: 145 / 303 = 145/303", "Add: 145/303 + (-678) = -205289/303"], "final_answer": "-205289/303", "answer_type": "rational", "kind": "expression", "math_text": "(13 + 132) / 303 + (-678)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 132, \"c\": 303, \"d\": -678}", "seed": "7107306239438490001", "semantic_fingerprint": "sha256:f5e78f316d41b7b48bf0161cfbf52177f04567f47e0a79c3d0093a37206b2254", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000707", "prompt": "Solve for x: 12(x - 87) + 832 = -4(x + 69)", "solution_steps": ["Expand: 12x - 1044 + 832 = -4(x + 69)", "Expand: 12x - 1044 + 832 = -4x - 276", "Combine constants: 12x - 212 = -4x - 276", "Add 4x to both sides: 16x - 212 = -276", "Add 212 to both sides: 16x = -64", "Divide both sides by 16: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 87) + 832 = -4(x + 69)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 87, \"c\": -4, \"d\": 69, \"f\": 832, \"x\": -4}", "seed": "11868799487076892172", "semantic_fingerprint": "sha256:8e5aa2aba25e613b72481986a632bdfd6a884cc66665649dce12610de333b9fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000708", "prompt": "What is (-23 - (6 + 979)) / (-766 + (-551) + (-78))?", "solution_steps": ["Add: 6 + 979 = 985", "Subtract: -23 - 985 = -1008", "Add: -766 + (-551) = -1317", "Add: -1317 + (-78) = -1395", "Divide: -1008 / (-1395) = 112/155"], "final_answer": "112/155", "answer_type": "rational", "kind": "expression", "math_text": "(-23 - (6 + 979)) / (-766 + (-551) + (-78))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 6, \"c\": 979, \"d\": -766, \"e\": -551, \"f\": -78}", "seed": "1084733629218798963", "semantic_fingerprint": "sha256:758906930f95a41cc09e9796bb91ce1f6032a43903f501674f8975a071898606", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000709", "prompt": "Solve the equation 11x = -11(x + 35) + 759 for x.", "solution_steps": ["Expand: 11x = -11x - 385 + 759", "Combine constants: 11x = -11x + 374", "Add 11x to both sides: 22x = 374", "Divide both sides by 22: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -11(x + 35) + 759", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -11, \"c\": 35, \"e\": 759, \"x\": 17}", "seed": "16043340176902272913", "semantic_fingerprint": "sha256:a4bff1020547534770f266b58a608836a1ee6634d31cf6c813f52158931c412d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000710", "prompt": "Compute: 1 / (-94 + (5 - 16)) + (-70)", "solution_steps": ["Subtract: 5 - 16 = -11", "Add: -94 + (-11) = -105", "Divide: 1 / (-105) = -1/105", "Add: -1/105 + (-70) = -7351/105"], "final_answer": "-7351/105", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-94 + (5 - 16)) + (-70)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -94, \"c\": 5, \"d\": 16, \"e\": -70}", "seed": "10909943813016734691", "semantic_fingerprint": "sha256:de043e12af49b89eef265f49978d9c64bc92f0d92bce43f9c73db98aadd0f0a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000711", "prompt": "What is (15 - (-89 + (-7))) * 4?", "solution_steps": ["Add: -89 + (-7) = -96", "Subtract: 15 - (-96) = 111", "Multiply: 111 * 4 = 444"], "final_answer": "444", "answer_type": "integer", "kind": "expression", "math_text": "(15 - (-89 + (-7))) * 4", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -89, \"c\": -7, \"d\": 4}", "seed": "17775419229280400532", "semantic_fingerprint": "sha256:334a899795d88d6a8782ef6ad83a1717d72ef374109649a233528284c48122b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000712", "prompt": "Compute: 566 * 180 + 446 * 5", "solution_steps": ["Multiply: 566 * 180 = 101880", "Multiply: 446 * 5 = 2230", "Add: 101880 + 2230 = 104110"], "final_answer": "104110", "answer_type": "integer", "kind": "expression", "math_text": "566 * 180 + 446 * 5", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 566, \"b\": 180, \"c\": 446, \"d\": 5}", "seed": "16586740082553465210", "semantic_fingerprint": "sha256:cf0951f27d901aeb7fe9613bdd20ee73de356c0748c0e877d725e1f2da5a65f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000713", "prompt": "What is -138 * ((0 + (-138)) / (-437 / (-6 / 81)))?", "solution_steps": ["Add: 0 + (-138) = -138", "Divide: -6 / 81 = -2/27", "Divide: -437 / (-2/27) = 11799/2", "Divide: -138 / (11799/2) = -4/171", "Multiply: -138 * (-4/171) = 184/57"], "final_answer": "184/57", "answer_type": "rational", "kind": "expression", "math_text": "-138 * ((0 + (-138)) / (-437 / (-6 / 81)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ n n) (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -138, \"b\": 0, \"c\": -138, \"d\": -437, \"e\": -6, \"f\": 81}", "seed": "3545490249080096176", "semantic_fingerprint": "sha256:1563d5eff47830bbbb70536d59efa2049c1bb142f5d6e893b76e837af1550a4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000714", "prompt": "Solve for x: 10(x + 2) = -2(x - 7) + 90", "solution_steps": ["Expand: 10x + 20 = -2(x - 7) + 90", "Expand: 10x + 20 = -2x + 14 + 90", "Combine constants: 10x + 20 = -2x + 104", "Add 2x to both sides: 12x + 20 = 104", "Subtract 20 from both sides: 12x = 84", "Divide both sides by 12: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) = -2(x - 7) + 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": -2, \"d\": 7, \"f\": 90, \"x\": 7}", "seed": "12010605991611136541", "semantic_fingerprint": "sha256:2d88ca3effe857879fb429069e0a335f85b79eee86b314bfd1203b7f326f307e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000715", "prompt": "Solve the equation 7(x + 8) = 10(x - 6) + 137 for x.", "solution_steps": ["Expand: 7x + 56 = 10(x - 6) + 137", "Expand: 7x + 56 = 10x - 60 + 137", "Combine constants: 7x + 56 = 10x + 77", "Subtract 10x from both sides: -3x + 56 = 77", "Subtract 56 from both sides: -3x = 21", "Divide both sides by -3: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 8) = 10(x - 6) + 137", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 10, \"d\": 6, \"f\": 137, \"x\": -7}", "seed": "5832318384865791455", "semantic_fingerprint": "sha256:5e6c55834a457735dca289f51c2963e8d787d822da4e62c77f23e092c865611b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000716", "prompt": "Evaluate: 14 * 4 + (-8 * 71 + 930 / 20)", "solution_steps": ["Multiply: 14 * 4 = 56", "Multiply: -8 * 71 = -568", "Divide: 930 / 20 = 93/2", "Add: -568 + 93/2 = -1043/2", "Add: 56 + (-1043/2) = -931/2"], "final_answer": "-931/2", "answer_type": "rational", "kind": "expression", "math_text": "14 * 4 + (-8 * 71 + 930 / 20)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 4, \"c\": -8, \"d\": 71, \"e\": 930, \"f\": 20}", "seed": "8629399512436725052", "semantic_fingerprint": "sha256:a410ce65b3b2f5fc03fbdce9a24117ebf446aa2f5263ccff7a4efbc49669a388", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000717", "prompt": "Calculate: -719 / 6 / 86 + (-91 - 66)", "solution_steps": ["Divide: -719 / 6 = -719/6", "Divide: (-719/6) / 86 = -719/516", "Subtract: -91 - 66 = -157", "Add: -719/516 + (-157) = -81731/516"], "final_answer": "-81731/516", "answer_type": "rational", "kind": "expression", "math_text": "-719 / 6 / 86 + (-91 - 66)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -719, \"b\": 6, \"c\": 86, \"d\": -91, \"e\": 66}", "seed": "10192142117080584500", "semantic_fingerprint": "sha256:7244d13645c14aab089c1e424aad4402403158258769b582328a33795eedfacb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000718", "prompt": "Calculate: (9 - (-69) * 90) / 245", "solution_steps": ["Multiply: -69 * 90 = -6210", "Subtract: 9 - (-6210) = 6219", "Divide: 6219 / 245 = 6219/245"], "final_answer": "6219/245", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (-69) * 90) / 245", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -69, \"c\": 90, \"d\": 245}", "seed": "1643535148252044663", "semantic_fingerprint": "sha256:7c9ee50e2662c358768734749329eac2ba8da2b2292b71794e955fc2926d2c97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000719", "prompt": "Solve the equation 4(x + 15) + 7 = x + 43 for x.", "solution_steps": ["Expand: 4x + 60 + 7 = x + 43", "Combine constants: 4x + 67 = x + 43", "Subtract x from both sides: 3x + 67 = 43", "Subtract 67 from both sides: 3x = -24", "Divide both sides by 3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 15) + 7 = x + 43", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 15, \"c\": 7, \"e\": 43, \"x\": -8}", "seed": "17970686158796301526", "semantic_fingerprint": "sha256:50189138ff0c82064376691d0f52308ae12376f97d5ee12062aa50b74dc4aa95", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000720", "prompt": "Compute: -6 + (-8 - (679 - 0)) + 583", "solution_steps": ["Subtract: 679 - 0 = 679", "Subtract: -8 - 679 = -687", "Add: -6 + (-687) = -693", "Add: -693 + 583 = -110"], "final_answer": "-110", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-8 - (679 - 0)) + 583", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -8, \"c\": 679, \"d\": 0, \"e\": 583}", "seed": "6234750178298187585", "semantic_fingerprint": "sha256:d8e00cf27433292682073c2ddd485e8b562558c486118f710c07daa6358201bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000721", "prompt": "What value of x satisfies -8x = -9(x + 32) + 287?", "solution_steps": ["Expand: -8x = -9x - 288 + 287", "Combine constants: -8x = -9x - 1", "Add 9x to both sides: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = -9(x + 32) + 287", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -9, \"c\": 32, \"e\": 287, \"x\": -1}", "seed": "15431874458352152337", "semantic_fingerprint": "sha256:8640574070eb99e83278ee8dc5901941938e296a5298f6d3a7e96de5575f0d48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000722", "prompt": "Compute: -90 + (48 - (-5)) + (-197)", "solution_steps": ["Subtract: 48 - (-5) = 53", "Add: -90 + 53 = -37", "Add: -37 + (-197) = -234"], "final_answer": "-234", "answer_type": "integer", "kind": "expression", "math_text": "-90 + (48 - (-5)) + (-197)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 48, \"c\": -5, \"d\": -197}", "seed": "16024480137693264546", "semantic_fingerprint": "sha256:dd3a80b20a0d054bd0cf1c7768db6a2f759462c8eb3600f49f5517eea165cf5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000723", "prompt": "Find x: 5x - 256 = 2x - 295", "solution_steps": ["Subtract 2x from both sides: 3x - 256 = -295", "Add 256 to both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 256 = 2x - 295", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 256, \"c\": 2, \"e\": -295, \"x\": -13}", "seed": "11577307836704711474", "semantic_fingerprint": "sha256:28bef6e8fb1ee05adcf4b9927aa7afea3a8809c1a0b2f93ceef84d150726f489", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000724", "prompt": "Solve for x: -9x - 2 = 7x - 290", "solution_steps": ["Subtract 7x from both sides: -16x - 2 = -290", "Add 2 to both sides: -16x = -288", "Divide both sides by -16: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 2 = 7x - 290", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": 7, \"e\": -290, \"x\": 18}", "seed": "17154549014918207555", "semantic_fingerprint": "sha256:de0aaf94eda8604a2e98bb524114927f46cd506874031da76fda38772f5b08b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000725", "prompt": "Find x: 6x - 62 = 7x - 80", "solution_steps": ["Subtract 7x from both sides: -x - 62 = -80", "Add 62 to both sides: -x = -18", "Divide both sides by -1: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 62 = 7x - 80", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 62, \"c\": 7, \"e\": -80, \"x\": 18}", "seed": "15470628143786097973", "semantic_fingerprint": "sha256:5242700321dfdecaf39bb6252196e7a914ed2afe51f4f2a1d6531b89492f8a5d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000726", "prompt": "What is -8 * (-984 - 1) + (-7) * (-18)?", "solution_steps": ["Subtract: -984 - 1 = -985", "Multiply: -8 * (-985) = 7880", "Multiply: -7 * (-18) = 126", "Add: 7880 + 126 = 8006"], "final_answer": "8006", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-984 - 1) + (-7) * (-18)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -984, \"c\": 1, \"d\": -7, \"e\": -18}", "seed": "4006828944001033488", "semantic_fingerprint": "sha256:7f74bff90fc56c33669ca03330e8ee84a72b19772b385738a6cdda43b52121b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000727", "prompt": "Evaluate: 69 / (1 - 0) * (-73 - (48 - 64))", "solution_steps": ["Subtract: 1 - 0 = 1", "Divide: 69 / 1 = 69", "Subtract: 48 - 64 = -16", "Subtract: -73 - (-16) = -57", "Multiply: 69 * (-57) = -3933"], "final_answer": "-3933", "answer_type": "integer", "kind": "expression", "math_text": "69 / (1 - 0) * (-73 - (48 - 64))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n n)) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 1, \"c\": 0, \"d\": -73, \"e\": 48, \"f\": 64}", "seed": "10498280581469894448", "semantic_fingerprint": "sha256:4c4ede2693b574407abd66046b7e376b520b77ae87349e48445f551ed3c8880f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000728", "prompt": "Solve for x: 10(x - 5) + 68 = 3(x + 20)", "solution_steps": ["Expand: 10x - 50 + 68 = 3(x + 20)", "Expand: 10x - 50 + 68 = 3x + 60", "Combine constants: 10x + 18 = 3x + 60", "Subtract 3x from both sides: 7x + 18 = 60", "Subtract 18 from both sides: 7x = 42", "Divide both sides by 7: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 5) + 68 = 3(x + 20)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 3, \"d\": 20, \"f\": 68, \"x\": 6}", "seed": "387228774949281236", "semantic_fingerprint": "sha256:395a6980216dbbb74f8081b24a099d4902f0209104dad430d80d6c314e95e937", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000729", "prompt": "Evaluate: (877 + (-10) - 4) / ((9 + (-7)) * 61)", "solution_steps": ["Add: 877 + (-10) = 867", "Subtract: 867 - 4 = 863", "Add: 9 + (-7) = 2", "Multiply: 2 * 61 = 122", "Divide: 863 / 122 = 863/122"], "final_answer": "863/122", "answer_type": "rational", "kind": "expression", "math_text": "(877 + (-10) - 4) / ((9 + (-7)) * 61)", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 877, \"b\": -10, \"c\": 4, \"d\": 9, \"e\": -7, \"f\": 61}", "seed": "3455768194835031784", "semantic_fingerprint": "sha256:7733344d82be04bc5b97546fe13ce114c5bf82b1bddf4e8238cbdddab0d90fca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000730", "prompt": "Evaluate: (-1 + (-8) - 391) / (5 * (4 + (-82)))", "solution_steps": ["Add: -1 + (-8) = -9", "Subtract: -9 - 391 = -400", "Add: 4 + (-82) = -78", "Multiply: 5 * (-78) = -390", "Divide: -400 / (-390) = 40/39"], "final_answer": "40/39", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + (-8) - 391) / (5 * (4 + (-82)))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -8, \"c\": 391, \"d\": 5, \"e\": 4, \"f\": -82}", "seed": "5706766320840625178", "semantic_fingerprint": "sha256:a311f6fe6d53df9480fba4a5c569a96aa867d1330abcf68ce8ef2f04440fe446", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000731", "prompt": "Compute: 4 - 7 / (-450) - (-44) - 479", "solution_steps": ["Divide: 7 / (-450) = -7/450", "Subtract: 4 - (-7/450) = 1807/450", "Subtract: 1807/450 - (-44) = 21607/450", "Subtract: 21607/450 - 479 = -193943/450"], "final_answer": "-193943/450", "answer_type": "rational", "kind": "expression", "math_text": "4 - 7 / (-450) - (-44) - 479", "variable": null, "family": "expression_4op", "shape": "(- (- (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": -450, \"d\": -44, \"e\": 479}", "seed": "16571126224805729998", "semantic_fingerprint": "sha256:cae98885f53d266f127077873720504abc6bbb027599e0c2997e0de5c517c0cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000732", "prompt": "Solve for x: 5(x + 61) - 14 = x + 363", "solution_steps": ["Expand: 5x + 305 - 14 = x + 363", "Combine constants: 5x + 291 = x + 363", "Subtract x from both sides: 4x + 291 = 363", "Subtract 291 from both sides: 4x = 72", "Divide both sides by 4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 61) - 14 = x + 363", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 61, \"c\": 14, \"e\": 363, \"x\": 18}", "seed": "17880695534965114920", "semantic_fingerprint": "sha256:14372f17a110b944bb283ae6710a4a896457b58f5215eb43eb7263cab7b4f240", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000733", "prompt": "Compute: 0 * 5 + 137 * (-28)", "solution_steps": ["Multiply: 0 * 5 = 0", "Multiply: 137 * (-28) = -3836", "Add: 0 + (-3836) = -3836"], "final_answer": "-3836", "answer_type": "integer", "kind": "expression", "math_text": "0 * 5 + 137 * (-28)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": 137, \"d\": -28}", "seed": "10240011325963883693", "semantic_fingerprint": "sha256:9f9ee6be4ac4ca6d0eb07c0eed77738ac00ae24fc40e03cfad59371b2849f7d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000734", "prompt": "What is -79 * (-5) * 13 * 24 - 799?", "solution_steps": ["Multiply: -79 * (-5) = 395", "Multiply: 395 * 13 = 5135", "Multiply: 5135 * 24 = 123240", "Subtract: 123240 - 799 = 122441"], "final_answer": "122441", "answer_type": "integer", "kind": "expression", "math_text": "-79 * (-5) * 13 * 24 - 799", "variable": null, "family": "expression_4op", "shape": "(- (* (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -5, \"c\": 13, \"d\": 24, \"e\": 799}", "seed": "15988036340936889071", "semantic_fingerprint": "sha256:d7c6c201944f41392448bf71ad9d78c2cd4b50eddc1b493606713072391a41cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000735", "prompt": "Calculate: (0 / (-625) - 4) * (-480 - 37 / 29)", "solution_steps": ["Divide: 0 / (-625) = 0", "Subtract: 0 - 4 = -4", "Divide: 37 / 29 = 37/29", "Subtract: -480 - 37/29 = -13957/29", "Multiply: -4 * (-13957/29) = 55828/29"], "final_answer": "55828/29", "answer_type": "rational", "kind": "expression", "math_text": "(0 / (-625) - 4) * (-480 - 37 / 29)", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) n) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -625, \"c\": 4, \"d\": -480, \"e\": 37, \"f\": 29}", "seed": "5495100574253725897", "semantic_fingerprint": "sha256:60c5d74246221a6e676206d997b7905cde22236e08a4c2bc068b8f7c447bea62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000736", "prompt": "Compute: (-25 / (-93) + (-14) + (-36 - (-6))) / (-2)", "solution_steps": ["Divide: -25 / (-93) = 25/93", "Add: 25/93 + (-14) = -1277/93", "Subtract: -36 - (-6) = -30", "Add: -1277/93 + (-30) = -4067/93", "Divide: (-4067/93) / (-2) = 4067/186"], "final_answer": "4067/186", "answer_type": "rational", "kind": "expression", "math_text": "(-25 / (-93) + (-14) + (-36 - (-6))) / (-2)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ (/ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -93, \"c\": -14, \"d\": -36, \"e\": -6, \"f\": -2}", "seed": "11225593437397649288", "semantic_fingerprint": "sha256:121668f4280461c8b2f134c1289332ab8e9b5bcd5aa0bcb69220e32e76d9a9ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000737", "prompt": "Solve the equation 9(x + 64) - 31 = x + 49 for x.", "solution_steps": ["Expand: 9x + 576 - 31 = x + 49", "Combine constants: 9x + 545 = x + 49", "Subtract x from both sides: 8x + 545 = 49", "Subtract 545 from both sides: 8x = -496", "Divide both sides by 8: x = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 64) - 31 = x + 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 64, \"c\": 31, \"d\": 49}", "seed": "7070132372070627357", "semantic_fingerprint": "sha256:d35e7d4b0a51d122d9753fac2d38b1d27cf789c1758ae814cb7ffec84f541c66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000738", "prompt": "Solve the equation 9(x + 44) + 5 = x + 537 for x.", "solution_steps": ["Expand: 9x + 396 + 5 = x + 537", "Combine constants: 9x + 401 = x + 537", "Subtract x from both sides: 8x + 401 = 537", "Subtract 401 from both sides: 8x = 136", "Divide both sides by 8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 44) + 5 = x + 537", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 44, \"c\": 5, \"e\": 537, \"x\": 17}", "seed": "9890976395832476348", "semantic_fingerprint": "sha256:5bfbbef80924f1f041766103d0ee3a4b45b01790644f0aa8c1349c04c7eb35b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000739", "prompt": "What is 66 * (0 / (-4 / (-2))) + (-64)?", "solution_steps": ["Divide: -4 / (-2) = 2", "Divide: 0 / 2 = 0", "Multiply: 66 * 0 = 0", "Add: 0 + (-64) = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "expression", "math_text": "66 * (0 / (-4 / (-2))) + (-64)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 0, \"c\": -4, \"d\": -2, \"e\": -64}", "seed": "17939569356284535180", "semantic_fingerprint": "sha256:b10ef4d6799b423b3879d1f1752f7aa1d28a000084dfe9fda6a8fa520171c620", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000740", "prompt": "Compute: 8 * (-6 / (-24) - (-18)) - 10 / 459", "solution_steps": ["Divide: -6 / (-24) = 1/4", "Subtract: 1/4 - (-18) = 73/4", "Multiply: 8 * (73/4) = 146", "Divide: 10 / 459 = 10/459", "Subtract: 146 - 10/459 = 67004/459"], "final_answer": "67004/459", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-6 / (-24) - (-18)) - 10 / 459", "variable": null, "family": "expression_5op", "shape": "(- (* n (- (/ n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6, \"c\": -24, \"d\": -18, \"e\": 10, \"f\": 459}", "seed": "2327848827015960578", "semantic_fingerprint": "sha256:e651a76569a44e8afbfbdabc265c2f44fa61c8effe868fbc9853bfa92139f112", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000741", "prompt": "Calculate: 7 / (-89 / 5 - 29 + 40)", "solution_steps": ["Divide: -89 / 5 = -89/5", "Subtract: -89/5 - 29 = -234/5", "Add: -234/5 + 40 = -34/5", "Divide: 7 / (-34/5) = -35/34"], "final_answer": "-35/34", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-89 / 5 - 29 + 40)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -89, \"c\": 5, \"d\": 29, \"e\": 40}", "seed": "14441593071563497985", "semantic_fingerprint": "sha256:461120f1a9ee32e39b712fb881b336e01c676f3e3a1f5bf736e657609f5ba443", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000742", "prompt": "Solve the equation 3(x - 8) + 498 = 12(x + 32) for x.", "solution_steps": ["Expand: 3x - 24 + 498 = 12(x + 32)", "Expand: 3x - 24 + 498 = 12x + 384", "Combine constants: 3x + 474 = 12x + 384", "Subtract 12x from both sides: -9x + 474 = 384", "Subtract 474 from both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 8) + 498 = 12(x + 32)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 12, \"d\": 32, \"f\": 498, \"x\": 10}", "seed": "2389865723898495432", "semantic_fingerprint": "sha256:b2c524a5f9931ee833e4dd51f1c59f422d86de6d56a8ef9274d4e971a5685eff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000743", "prompt": "What value of x satisfies 6x - 82 = 5x - 46?", "solution_steps": ["Subtract 5x from both sides: x - 82 = -46", "Add 82 to both sides: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 82 = 5x - 46", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 82, \"c\": 5, \"d\": 46}", "seed": "13546028409033122534", "semantic_fingerprint": "sha256:af4a33e5247f1dea59f0f986b158cd0426d615ae16150495310049af5153becf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000744", "prompt": "Compute: -857 / (-680) * (37 - 50 - (-49))", "solution_steps": ["Divide: -857 / (-680) = 857/680", "Subtract: 37 - 50 = -13", "Subtract: -13 - (-49) = 36", "Multiply: (857/680) * 36 = 7713/170"], "final_answer": "7713/170", "answer_type": "rational", "kind": "expression", "math_text": "-857 / (-680) * (37 - 50 - (-49))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -857, \"b\": -680, \"c\": 37, \"d\": 50, \"e\": -49}", "seed": "15032863945105000434", "semantic_fingerprint": "sha256:0f2ba06c78b8f19b1ecfe2c46b4ffc7c0836497e49f31e9ed6e565194370ca0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000745", "prompt": "Calculate: 3 / (-29 + (-58) + (-8 + 2))", "solution_steps": ["Add: -29 + (-58) = -87", "Add: -8 + 2 = -6", "Add: -87 + (-6) = -93", "Divide: 3 / (-93) = -1/31"], "final_answer": "-1/31", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-29 + (-58) + (-8 + 2))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -29, \"c\": -58, \"d\": -8, \"e\": 2}", "seed": "15527730044037710447", "semantic_fingerprint": "sha256:6496fe399952866d822655e067ddb53df82efb39ee314254b0370111de60e27c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000746", "prompt": "What is -36 - (-5) * (-7) * (-3) - 5?", "solution_steps": ["Multiply: -5 * (-7) = 35", "Multiply: 35 * (-3) = -105", "Subtract: -36 - (-105) = 69", "Subtract: 69 - 5 = 64"], "final_answer": "64", "answer_type": "integer", "kind": "expression", "math_text": "-36 - (-5) * (-7) * (-3) - 5", "variable": null, "family": "expression_4op", "shape": "(- (- n (* (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -5, \"c\": -7, \"d\": -3, \"e\": 5}", "seed": "14997055548748331503", "semantic_fingerprint": "sha256:bbab1497915d794ea5e07fa83c3fcb4746f8b9217a720edae72f6c0c1ddc8df3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000747", "prompt": "Calculate: 100 - (1 - (-97)) / (601 + 20) * (-261)", "solution_steps": ["Subtract: 1 - (-97) = 98", "Add: 601 + 20 = 621", "Divide: 98 / 621 = 98/621", "Multiply: (98/621) * (-261) = -2842/69", "Subtract: 100 - (-2842/69) = 9742/69"], "final_answer": "9742/69", "answer_type": "rational", "kind": "expression", "math_text": "100 - (1 - (-97)) / (601 + 20) * (-261)", "variable": null, "family": "expression_5op", "shape": "(- n (* (/ (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 100, \"b\": 1, \"c\": -97, \"d\": 601, \"e\": 20, \"f\": -261}", "seed": "1929160327768045196", "semantic_fingerprint": "sha256:885bc00c3baabcca26752232bef069eff68b42bd0b90d72d9f0510df5e1546ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000748", "prompt": "What value of x satisfies 4x - 347 = 7(x - 44)?", "solution_steps": ["Expand: 4x - 347 = 7x - 308", "Subtract 7x from both sides: -3x - 347 = -308", "Add 347 to both sides: -3x = 39", "Divide both sides by -3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 347 = 7(x - 44)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 44, \"e\": -347, \"x\": -13}", "seed": "11774230272365954520", "semantic_fingerprint": "sha256:e3d963a99db1d2d6827bcb29ea2a7b53924c9b5f63f0317ff17554816f215650", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000749", "prompt": "Calculate: (131 + 28) / (-39 + 997)", "solution_steps": ["Add: 131 + 28 = 159", "Add: -39 + 997 = 958", "Divide: 159 / 958 = 159/958"], "final_answer": "159/958", "answer_type": "rational", "kind": "expression", "math_text": "(131 + 28) / (-39 + 997)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 131, \"b\": 28, \"c\": -39, \"d\": 997}", "seed": "8917015833127988851", "semantic_fingerprint": "sha256:fca093a4711a4260a164ee7ce96a27942057412d98d6d7207186cb7119c2d394", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000750", "prompt": "What is (-7 - (-848 + (-2 + 36))) * (-908)?", "solution_steps": ["Add: -2 + 36 = 34", "Add: -848 + 34 = -814", "Subtract: -7 - (-814) = 807", "Multiply: 807 * (-908) = -732756"], "final_answer": "-732756", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-848 + (-2 + 36))) * (-908)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -848, \"c\": -2, \"d\": 36, \"e\": -908}", "seed": "15723738310531498464", "semantic_fingerprint": "sha256:fc65796c5c5d04559905db89ad96f6c42e0788f9470a7aa2d8b9572086321153", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000751", "prompt": "Calculate: -32 * (-5 * (-6)) * 7", "solution_steps": ["Multiply: -5 * (-6) = 30", "Multiply: -32 * 30 = -960", "Multiply: -960 * 7 = -6720"], "final_answer": "-6720", "answer_type": "integer", "kind": "expression", "math_text": "-32 * (-5 * (-6)) * 7", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -5, \"c\": -6, \"d\": 7}", "seed": "18267454342686557650", "semantic_fingerprint": "sha256:cc651d8a5fc93082106f724c7284bce0fc8053abb2b404e02761d9a69567ff3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000752", "prompt": "Evaluate: (485 - (614 + (-3))) * (-6)", "solution_steps": ["Add: 614 + (-3) = 611", "Subtract: 485 - 611 = -126", "Multiply: -126 * (-6) = 756"], "final_answer": "756", "answer_type": "integer", "kind": "expression", "math_text": "(485 - (614 + (-3))) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 485, \"b\": 614, \"c\": -3, \"d\": -6}", "seed": "17359888797694792408", "semantic_fingerprint": "sha256:ad4d1b4535001c94c975d389f09f0fd8ceeb3c000982089fd44794cc10b7e7ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000753", "prompt": "What value of x satisfies 6(x + 6) - 94 = x + 183?", "solution_steps": ["Expand: 6x + 36 - 94 = x + 183", "Combine constants: 6x - 58 = x + 183", "Subtract x from both sides: 5x - 58 = 183", "Add 58 to both sides: 5x = 241", "Divide both sides by 5: x = 241/5"], "final_answer": "241/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 6) - 94 = x + 183", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 94, \"d\": 183}", "seed": "8198504620865000093", "semantic_fingerprint": "sha256:ef9b2daf2a365d31f18e182b99f81a836864acd66a2e27408360f27411d752f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000754", "prompt": "Solve for x: 12(x + 73) = 11(x - 6) + 960", "solution_steps": ["Expand: 12x + 876 = 11(x - 6) + 960", "Expand: 12x + 876 = 11x - 66 + 960", "Combine constants: 12x + 876 = 11x + 894", "Subtract 11x from both sides: x + 876 = 894", "Subtract 876 from both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 73) = 11(x - 6) + 960", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 73, \"c\": 11, \"d\": 6, \"f\": 960, \"x\": 18}", "seed": "929907563237292055", "semantic_fingerprint": "sha256:ee9ba89522fa3fdc44d5dce0da112f06588180e19eb4c47cbc86e51feedf6497", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000755", "prompt": "What value of x satisfies 10x - 5 = 5x - 55?", "solution_steps": ["Subtract 5x from both sides: 5x - 5 = -55", "Add 5 to both sides: 5x = -50", "Divide both sides by 5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 5 = 5x - 55", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 5, \"e\": -55, \"x\": -10}", "seed": "6060681020392086455", "semantic_fingerprint": "sha256:affd256933e2227d80bf82b9f051f71ed550c4b7c6e42806051a16ec784bc4c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000756", "prompt": "What is 6 - (3 + 822) / 98?", "solution_steps": ["Add: 3 + 822 = 825", "Divide: 825 / 98 = 825/98", "Subtract: 6 - 825/98 = -237/98"], "final_answer": "-237/98", "answer_type": "rational", "kind": "expression", "math_text": "6 - (3 + 822) / 98", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 822, \"d\": 98}", "seed": "7560237801112545288", "semantic_fingerprint": "sha256:97717ed32908862ff98761447e7c4a35dd7f6517ece0ba4145256c1a3e419b86", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000757", "prompt": "What is (-762 - 75 * 8) * (1 + (-431 - 86))?", "solution_steps": ["Multiply: 75 * 8 = 600", "Subtract: -762 - 600 = -1362", "Subtract: -431 - 86 = -517", "Add: 1 + (-517) = -516", "Multiply: -1362 * (-516) = 702792"], "final_answer": "702792", "answer_type": "integer", "kind": "expression", "math_text": "(-762 - 75 * 8) * (1 + (-431 - 86))", "variable": null, "family": "expression_5op", "shape": "(* (- n (* n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -762, \"b\": 75, \"c\": 8, \"d\": 1, \"e\": -431, \"f\": 86}", "seed": "18423143280972541239", "semantic_fingerprint": "sha256:ba92c9dcfcc1ee6f5d8b85e088cf9475f86ed8071152d3ba3361d75a7379beed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000758", "prompt": "What is (-446 * (-61) + (-712) * (-588)) / 66?", "solution_steps": ["Multiply: -446 * (-61) = 27206", "Multiply: -712 * (-588) = 418656", "Add: 27206 + 418656 = 445862", "Divide: 445862 / 66 = 222931/33"], "final_answer": "222931/33", "answer_type": "rational", "kind": "expression", "math_text": "(-446 * (-61) + (-712) * (-588)) / 66", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -446, \"b\": -61, \"c\": -712, \"d\": -588, \"e\": 66}", "seed": "2401963619828653841", "semantic_fingerprint": "sha256:0842bdebd9967fa4f8160e3c7dbf837d0bd839b29c070e700f0a760f43a23e07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000759", "prompt": "What value of x satisfies 9x - 629 = 4(x - 1)?", "solution_steps": ["Expand: 9x - 629 = 4x - 4", "Subtract 4x from both sides: 5x - 629 = -4", "Add 629 to both sides: 5x = 625", "Divide both sides by 5: x = 125"], "final_answer": "125", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 629 = 4(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 629, \"c\": 4, \"d\": 1}", "seed": "16935045255591109886", "semantic_fingerprint": "sha256:6413e753741648e6e971333f2cca35f0e4f9ac5b169cef1686d3a73cbc9cde71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000760", "prompt": "What is 5 * (32 + 92 * (-88))?", "solution_steps": ["Multiply: 92 * (-88) = -8096", "Add: 32 + (-8096) = -8064", "Multiply: 5 * (-8064) = -40320"], "final_answer": "-40320", "answer_type": "integer", "kind": "expression", "math_text": "5 * (32 + 92 * (-88))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 32, \"c\": 92, \"d\": -88}", "seed": "41430181961656557", "semantic_fingerprint": "sha256:ad8a48c92d6a109b1e27642a8992f6497504c36a555dfde635a003baf69c29b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000761", "prompt": "Solve for x: -10(x - 65) - 7 = x + 709", "solution_steps": ["Expand: -10x + 650 - 7 = x + 709", "Combine constants: -10x + 643 = x + 709", "Subtract x from both sides: -11x + 643 = 709", "Subtract 643 from both sides: -11x = 66", "Divide both sides by -11: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 65) - 7 = x + 709", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 65, \"c\": 7, \"e\": 709, \"x\": -6}", "seed": "12233633699924283093", "semantic_fingerprint": "sha256:3d245cfcfa7349ed281846ff7d8e73895ff0e14bc680597ff4c66d6483db08b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000762", "prompt": "Solve for x: 8x - 22 = 7(x - 1)", "solution_steps": ["Expand: 8x - 22 = 7x - 7", "Subtract 7x from both sides: x - 22 = -7", "Add 22 to both sides: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 22 = 7(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 1, \"e\": -22, \"x\": 15}", "seed": "15409336576787149555", "semantic_fingerprint": "sha256:af08fe735ba83800a1374c0facbaa5ef96163a952083993587071b45630e6408", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000763", "prompt": "What is (-173 - (-424)) * (246 - (0 + 97))?", "solution_steps": ["Subtract: -173 - (-424) = 251", "Add: 0 + 97 = 97", "Subtract: 246 - 97 = 149", "Multiply: 251 * 149 = 37399"], "final_answer": "37399", "answer_type": "integer", "kind": "expression", "math_text": "(-173 - (-424)) * (246 - (0 + 97))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -173, \"b\": -424, \"c\": 246, \"d\": 0, \"e\": 97}", "seed": "11477188905607825888", "semantic_fingerprint": "sha256:5b486824e8644dd98b5f202d888e99012d9346cc5204fcdc8d45a55bbb2c07b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000764", "prompt": "Evaluate: -6 / (5 / (-90)) + (-3)", "solution_steps": ["Divide: 5 / (-90) = -1/18", "Divide: -6 / (-1/18) = 108", "Add: 108 + (-3) = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "-6 / (5 / (-90)) + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": -90, \"d\": -3}", "seed": "10650287237376991688", "semantic_fingerprint": "sha256:184800aefa5865e2027c697aa7dc026820c182117f9aeea7b9a0ffa300b31ce8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000765", "prompt": "Evaluate: -84 / (64 / 26) + 3", "solution_steps": ["Divide: 64 / 26 = 32/13", "Divide: -84 / (32/13) = -273/8", "Add: -273/8 + 3 = -249/8"], "final_answer": "-249/8", "answer_type": "rational", "kind": "expression", "math_text": "-84 / (64 / 26) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 64, \"c\": 26, \"d\": 3}", "seed": "2779302089416795769", "semantic_fingerprint": "sha256:19c7530f26bfc23039e6db5cb3a9dfffc5ac378071ec3428c2d18e8c9992bc5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000766", "prompt": "Compute: (0 * (-54) + 4) / (-26) / 60", "solution_steps": ["Multiply: 0 * (-54) = 0", "Add: 0 + 4 = 4", "Divide: 4 / (-26) = -2/13", "Divide: (-2/13) / 60 = -1/390"], "final_answer": "-1/390", "answer_type": "rational", "kind": "expression", "math_text": "(0 * (-54) + 4) / (-26) / 60", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -54, \"c\": 4, \"d\": -26, \"e\": 60}", "seed": "5943418232827737715", "semantic_fingerprint": "sha256:2005f0b00fab9fc05ea1de7845f5bb17a1d5e388acf8ac2e83ba8ef9f6289081", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000767", "prompt": "Find x: 10(x - 2) - 51 = x + 7", "solution_steps": ["Expand: 10x - 20 - 51 = x + 7", "Combine constants: 10x - 71 = x + 7", "Subtract x from both sides: 9x - 71 = 7", "Add 71 to both sides: 9x = 78", "Divide both sides by 9: x = 26/3"], "final_answer": "26/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 2) - 51 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 51, \"d\": 7}", "seed": "13461207128579071857", "semantic_fingerprint": "sha256:c779da1af15f00ca93ff0bbc823b36d4f9bbf7a3c385c651b0ff06dfaa37bf8c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000768", "prompt": "Find x: 4x = -5(x + 81) - 35", "solution_steps": ["Expand: 4x = -5x - 405 - 35", "Combine constants: 4x = -5x - 440", "Add 5x to both sides: 9x = -440", "Divide both sides by 9: x = -440/9"], "final_answer": "-440/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = -5(x + 81) - 35", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -5, \"c\": 81, \"d\": 35}", "seed": "11909381858653755941", "semantic_fingerprint": "sha256:4e8be733301044f64bdebbf000040e858d074ce65d701dfc2852e56f7ec248cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000769", "prompt": "What value of x satisfies -2x = 3(x + 60) - 170?", "solution_steps": ["Expand: -2x = 3x + 180 - 170", "Combine constants: -2x = 3x + 10", "Subtract 3x from both sides: -5x = 10", "Divide both sides by -5: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 3(x + 60) - 170", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 60, \"e\": -170, \"x\": -2}", "seed": "6332424456960189230", "semantic_fingerprint": "sha256:c112ad56968b63166dea9e8750ccaa7be31aa64e04c1e061553e8f4c76c15c79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000770", "prompt": "What value of x satisfies 4(x + 7) + 1 = x + 71?", "solution_steps": ["Expand: 4x + 28 + 1 = x + 71", "Combine constants: 4x + 29 = x + 71", "Subtract x from both sides: 3x + 29 = 71", "Subtract 29 from both sides: 3x = 42", "Divide both sides by 3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 7) + 1 = x + 71", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 1, \"e\": 71, \"x\": 14}", "seed": "10116296480148422736", "semantic_fingerprint": "sha256:17d518f02bfff58e7e323e7056e2b5ac5c285d66730e5e92427d89ad5b2f858d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000771", "prompt": "Compute: -87 / (-12) / (-48) - (-58)", "solution_steps": ["Divide: -87 / (-12) = 29/4", "Divide: (29/4) / (-48) = -29/192", "Subtract: -29/192 - (-58) = 11107/192"], "final_answer": "11107/192", "answer_type": "rational", "kind": "expression", "math_text": "-87 / (-12) / (-48) - (-58)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -12, \"c\": -48, \"d\": -58}", "seed": "10388138075397805039", "semantic_fingerprint": "sha256:9e10ccf43d55b85abac5bcb63b33f647d2a0aca70adbd3d139d2d1a6595121e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000772", "prompt": "What value of x satisfies -12x - 634 = 7x - 463?", "solution_steps": ["Subtract 7x from both sides: -19x - 634 = -463", "Add 634 to both sides: -19x = 171", "Divide both sides by -19: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 634 = 7x - 463", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 634, \"c\": 7, \"e\": -463, \"x\": -9}", "seed": "14363578418152426365", "semantic_fingerprint": "sha256:08c6d32c64b1a28d68c1aedfd74ce7ab8a3ace61f87f5b99a60875555e66479b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000773", "prompt": "What is 88 * (-43 / (-7 - (-53))) - 59?", "solution_steps": ["Subtract: -7 - (-53) = 46", "Divide: -43 / 46 = -43/46", "Multiply: 88 * (-43/46) = -1892/23", "Subtract: -1892/23 - 59 = -3249/23"], "final_answer": "-3249/23", "answer_type": "rational", "kind": "expression", "math_text": "88 * (-43 / (-7 - (-53))) - 59", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -43, \"c\": -7, \"d\": -53, \"e\": 59}", "seed": "9874885802528361596", "semantic_fingerprint": "sha256:90dbad2294e498542ed4f8ac775422a083eefe37345dd2a0aef2fb806c385000", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000774", "prompt": "Compute: (0 - (-76 + 64)) * (1 * (63 * (-6)))", "solution_steps": ["Add: -76 + 64 = -12", "Subtract: 0 - (-12) = 12", "Multiply: 63 * (-6) = -378", "Multiply: 1 * (-378) = -378", "Multiply: 12 * (-378) = -4536"], "final_answer": "-4536", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-76 + 64)) * (1 * (63 * (-6)))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -76, \"c\": 64, \"d\": 1, \"e\": 63, \"f\": -6}", "seed": "6633177215402335717", "semantic_fingerprint": "sha256:d190dadf6cc320a63f258a7827905b41ae32e65f8316e09e363854dcbfd6c34a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000775", "prompt": "What value of x satisfies 2x - 56 = -2x - 1?", "solution_steps": ["Add 2x to both sides: 4x - 56 = -1", "Add 56 to both sides: 4x = 55", "Divide both sides by 4: x = 55/4"], "final_answer": "55/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 56 = -2x - 1", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 56, \"c\": -2, \"d\": 1}", "seed": "9599398780845486482", "semantic_fingerprint": "sha256:2d39bb70cb561629dbdb66efe34a635ebc0754ef88cbbbafc5c51362d41debe4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000776", "prompt": "Compute: 97 + 3 - (-4 - (-43 - (-1)))", "solution_steps": ["Add: 97 + 3 = 100", "Subtract: -43 - (-1) = -42", "Subtract: -4 - (-42) = 38", "Subtract: 100 - 38 = 62"], "final_answer": "62", "answer_type": "integer", "kind": "expression", "math_text": "97 + 3 - (-4 - (-43 - (-1)))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 3, \"c\": -4, \"d\": -43, \"e\": -1}", "seed": "8311547014326185803", "semantic_fingerprint": "sha256:f34a63e3f39bf932d8f213f24cf9a194c8828003d8fde32ee8ec1f401456fd3f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000777", "prompt": "Compute: -7 + 388 + (756 / (-4) - (-912))", "solution_steps": ["Add: -7 + 388 = 381", "Divide: 756 / (-4) = -189", "Subtract: -189 - (-912) = 723", "Add: 381 + 723 = 1104"], "final_answer": "1104", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 388 + (756 / (-4) - (-912))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 388, \"c\": 756, \"d\": -4, \"e\": -912}", "seed": "4057391313682638039", "semantic_fingerprint": "sha256:30be45fc6b11b8cd79a400d56d692fb14697a3b06f0d0c39cb693cd0426e1049", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000778", "prompt": "Compute: -97 - (3 - 6) - (-90) - (-5)", "solution_steps": ["Subtract: 3 - 6 = -3", "Subtract: -97 - (-3) = -94", "Subtract: -94 - (-90) = -4", "Subtract: -4 - (-5) = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "-97 - (3 - 6) - (-90) - (-5)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 3, \"c\": 6, \"d\": -90, \"e\": -5}", "seed": "8737556961965942702", "semantic_fingerprint": "sha256:f08a5de28bad815998ff20e8f7edf515fd152cedf7d8ff0184c268efbb492a33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000779", "prompt": "Evaluate: 477 / ((74 + (-46)) / (762 / (-9) / (-86)))", "solution_steps": ["Add: 74 + (-46) = 28", "Divide: 762 / (-9) = -254/3", "Divide: (-254/3) / (-86) = 127/129", "Divide: 28 / (127/129) = 3612/127", "Divide: 477 / (3612/127) = 20193/1204"], "final_answer": "20193/1204", "answer_type": "rational", "kind": "expression", "math_text": "477 / ((74 + (-46)) / (762 / (-9) / (-86)))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (+ n n) (/ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 477, \"b\": 74, \"c\": -46, \"d\": 762, \"e\": -9, \"f\": -86}", "seed": "6105490621390829282", "semantic_fingerprint": "sha256:bf706e6cd5b7bb6fcd5d16bd53a877f8fce1ab32d330dd841dd264c9455c0f60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000780", "prompt": "Evaluate: 0 / (-696 * (-8 + 379))", "solution_steps": ["Add: -8 + 379 = 371", "Multiply: -696 * 371 = -258216", "Divide: 0 / (-258216) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-696 * (-8 + 379))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -696, \"c\": -8, \"d\": 379}", "seed": "14524589160781710529", "semantic_fingerprint": "sha256:a33d368d1bb8c25034f255dc4b1df4ad1f0d0d4fa73aedac8c4e6ed2d6e00139", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000781", "prompt": "Evaluate: (552 + (-5)) / (-809 + 356)", "solution_steps": ["Add: 552 + (-5) = 547", "Add: -809 + 356 = -453", "Divide: 547 / (-453) = -547/453"], "final_answer": "-547/453", "answer_type": "rational", "kind": "expression", "math_text": "(552 + (-5)) / (-809 + 356)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 552, \"b\": -5, \"c\": -809, \"d\": 356}", "seed": "1268870238723515859", "semantic_fingerprint": "sha256:8f7f8e754b6996853965510e33a28a76b9fc5df75c7c3e9b933ca8e7fd0b6a5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000782", "prompt": "Solve for x: -8x - 304 = 8(x - 2)", "solution_steps": ["Expand: -8x - 304 = 8x - 16", "Subtract 8x from both sides: -16x - 304 = -16", "Add 304 to both sides: -16x = 288", "Divide both sides by -16: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 304 = 8(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"c\": 2, \"e\": -304, \"x\": -18}", "seed": "2856647413715067652", "semantic_fingerprint": "sha256:5b9f9d9ff08bc7443f3feb132993a3fc3e36001e27804c4676c80438c432d51e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000783", "prompt": "What is -71 - 794 + (-53 / (-5 + (-45)) + (-527))?", "solution_steps": ["Subtract: -71 - 794 = -865", "Add: -5 + (-45) = -50", "Divide: -53 / (-50) = 53/50", "Add: 53/50 + (-527) = -26297/50", "Add: -865 + (-26297/50) = -69547/50"], "final_answer": "-69547/50", "answer_type": "rational", "kind": "expression", "math_text": "-71 - 794 + (-53 / (-5 + (-45)) + (-527))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ (/ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 794, \"c\": -53, \"d\": -5, \"e\": -45, \"f\": -527}", "seed": "7032109378993893154", "semantic_fingerprint": "sha256:46c72f7c464f37e135f6c08a307d37d7d0010e253c6e7e3e16e532d0aad5bc9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000784", "prompt": "Solve the equation -7x = 8(x + 95) - 790 for x.", "solution_steps": ["Expand: -7x = 8x + 760 - 790", "Combine constants: -7x = 8x - 30", "Subtract 8x from both sides: -15x = -30", "Divide both sides by -15: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 8(x + 95) - 790", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 95, \"e\": -790, \"x\": 2}", "seed": "9399069603963732409", "semantic_fingerprint": "sha256:6f5fc66662260406e680e7f2a65e28cabba5fe3f8721ee63f1e4fa8c386d4b11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000785", "prompt": "Compute: 1 * (65 * (-29)) * (-99)", "solution_steps": ["Multiply: 65 * (-29) = -1885", "Multiply: 1 * (-1885) = -1885", "Multiply: -1885 * (-99) = 186615"], "final_answer": "186615", "answer_type": "integer", "kind": "expression", "math_text": "1 * (65 * (-29)) * (-99)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 65, \"c\": -29, \"d\": -99}", "seed": "6838212615294623604", "semantic_fingerprint": "sha256:587054356ade614e29cda5c155ed142a6eb2cfeccb470a323241d0d20543bb10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000786", "prompt": "Find x: 10x = -7(x + 71) + 803", "solution_steps": ["Expand: 10x = -7x - 497 + 803", "Combine constants: 10x = -7x + 306", "Add 7x to both sides: 17x = 306", "Divide both sides by 17: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -7(x + 71) + 803", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -7, \"c\": 71, \"e\": 803, \"x\": 18}", "seed": "13407873333583692050", "semantic_fingerprint": "sha256:6c8d45b49bb66deb6367c822592de03ca21316cbf1b9e0cd40ab932246f2a2a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000787", "prompt": "Evaluate: -8 - (-674) * (3 / 5)", "solution_steps": ["Divide: 3 / 5 = 3/5", "Multiply: -674 * (3/5) = -2022/5", "Subtract: -8 - (-2022/5) = 1982/5"], "final_answer": "1982/5", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-674) * (3 / 5)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -674, \"c\": 3, \"d\": 5}", "seed": "13049428525259291571", "semantic_fingerprint": "sha256:b250a2f5a123866e841cb7a74ba9f06d68081609d614b32275683bfb467799fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000788", "prompt": "Evaluate: -1 + (-869) + (64 - 14 - 0)", "solution_steps": ["Add: -1 + (-869) = -870", "Subtract: 64 - 14 = 50", "Subtract: 50 - 0 = 50", "Add: -870 + 50 = -820"], "final_answer": "-820", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-869) + (64 - 14 - 0)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -869, \"c\": 64, \"d\": 14, \"e\": 0}", "seed": "8894654742491563537", "semantic_fingerprint": "sha256:51f9a8668824e9324ab3d31a51d38ef68757209d7c711120e3e06a8538cc8047", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000789", "prompt": "What is -3 - (6 + (-788)) / (-54)?", "solution_steps": ["Add: 6 + (-788) = -782", "Divide: -782 / (-54) = 391/27", "Subtract: -3 - 391/27 = -472/27"], "final_answer": "-472/27", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (6 + (-788)) / (-54)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": -788, \"d\": -54}", "seed": "11276122269002416301", "semantic_fingerprint": "sha256:b61f8fb2c1b0b3cec1b16d910969aa30d9c3766597534ab0bcf775c0c3ff9cb9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000790", "prompt": "Solve for x: -4x = 6(x + 76) - 2", "solution_steps": ["Expand: -4x = 6x + 456 - 2", "Combine constants: -4x = 6x + 454", "Subtract 6x from both sides: -10x = 454", "Divide both sides by -10: x = -227/5"], "final_answer": "-227/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 6(x + 76) - 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 76, \"d\": 2}", "seed": "6875712798862870177", "semantic_fingerprint": "sha256:4b6eb2ae758f7f3cfbfbcdbf851a1f4bf85dce86a418877534241329e03e1fc3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000791", "prompt": "Find x: -12(x + 75) - 760 = x + 73", "solution_steps": ["Expand: -12x - 900 - 760 = x + 73", "Combine constants: -12x - 1660 = x + 73", "Subtract x from both sides: -13x - 1660 = 73", "Add 1660 to both sides: -13x = 1733", "Divide both sides by -13: x = -1733/13"], "final_answer": "-1733/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 75) - 760 = x + 73", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 75, \"c\": 760, \"d\": 73}", "seed": "6424496376691956208", "semantic_fingerprint": "sha256:3d44e124b0aa0e225787482a2c88789830b30ecdec49b96bae4e6347acdc96c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000792", "prompt": "Compute: (-78 - 61 * (-61)) / 624", "solution_steps": ["Multiply: 61 * (-61) = -3721", "Subtract: -78 - (-3721) = 3643", "Divide: 3643 / 624 = 3643/624"], "final_answer": "3643/624", "answer_type": "rational", "kind": "expression", "math_text": "(-78 - 61 * (-61)) / 624", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 61, \"c\": -61, \"d\": 624}", "seed": "14456863891947753004", "semantic_fingerprint": "sha256:fda1fb5f0173f5c6064bf241e34f982c1ae051d70772eb40d6470b18e650160a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000793", "prompt": "What is 121 * (30 + (-139) + (3 + (-582))) / (-57)?", "solution_steps": ["Add: 30 + (-139) = -109", "Add: 3 + (-582) = -579", "Add: -109 + (-579) = -688", "Multiply: 121 * (-688) = -83248", "Divide: -83248 / (-57) = 83248/57"], "final_answer": "83248/57", "answer_type": "rational", "kind": "expression", "math_text": "121 * (30 + (-139) + (3 + (-582))) / (-57)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ (+ n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 121, \"b\": 30, \"c\": -139, \"d\": 3, \"e\": -582, \"f\": -57}", "seed": "13305858801249567111", "semantic_fingerprint": "sha256:5ccc8bd1b5919eb150a009bd3d4e04e9e9965f1dd2341896be62c4bfe08d0af0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000794", "prompt": "Solve the equation 8(x + 2) - 41 = x + 3 for x.", "solution_steps": ["Expand: 8x + 16 - 41 = x + 3", "Combine constants: 8x - 25 = x + 3", "Subtract x from both sides: 7x - 25 = 3", "Add 25 to both sides: 7x = 28", "Divide both sides by 7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 2) - 41 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 41, \"e\": 3, \"x\": 4}", "seed": "11967132906818771664", "semantic_fingerprint": "sha256:caa80f05fabd6a42ec5480a6affdeac0c00fb1f004bceda6568d5bd351dc32f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000795", "prompt": "Evaluate: -95 / (-4) + 134 - (-69) * 65", "solution_steps": ["Divide: -95 / (-4) = 95/4", "Add: 95/4 + 134 = 631/4", "Multiply: -69 * 65 = -4485", "Subtract: 631/4 - (-4485) = 18571/4"], "final_answer": "18571/4", "answer_type": "rational", "kind": "expression", "math_text": "-95 / (-4) + 134 - (-69) * 65", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -4, \"c\": 134, \"d\": -69, \"e\": 65}", "seed": "3940711944511448452", "semantic_fingerprint": "sha256:21ff49fa51130501f9fd2ca8186059ffcbe641d7090790ce615078de2fb30db2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000796", "prompt": "Find x: -8x = 6(x + 3) - 32", "solution_steps": ["Expand: -8x = 6x + 18 - 32", "Combine constants: -8x = 6x - 14", "Subtract 6x from both sides: -14x = -14", "Divide both sides by -14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = 6(x + 3) - 32", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": 3, \"e\": -32, \"x\": 1}", "seed": "8633591334983267996", "semantic_fingerprint": "sha256:b01d81d6f8689f5f34779007958fc4e5e14e589757d51bd23c8e3190dd596db2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000797", "prompt": "Solve the equation 11(x + 56) - 21 = x + 455 for x.", "solution_steps": ["Expand: 11x + 616 - 21 = x + 455", "Combine constants: 11x + 595 = x + 455", "Subtract x from both sides: 10x + 595 = 455", "Subtract 595 from both sides: 10x = -140", "Divide both sides by 10: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 56) - 21 = x + 455", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 56, \"c\": 21, \"e\": 455, \"x\": -14}", "seed": "3990537383923427588", "semantic_fingerprint": "sha256:fc5c0e5661da1815b5a7a9113ff1d5a1efe4721fb7e75cb5c0bc7f018cf306ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000798", "prompt": "Evaluate: (59 - (-808)) / (-36) + 9 * (83 / 530)", "solution_steps": ["Subtract: 59 - (-808) = 867", "Divide: 867 / (-36) = -289/12", "Divide: 83 / 530 = 83/530", "Multiply: 9 * (83/530) = 747/530", "Add: -289/12 + 747/530 = -72103/3180"], "final_answer": "-72103/3180", "answer_type": "rational", "kind": "expression", "math_text": "(59 - (-808)) / (-36) + 9 * (83 / 530)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) n) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -808, \"c\": -36, \"d\": 9, \"e\": 83, \"f\": 530}", "seed": "4245627641035516991", "semantic_fingerprint": "sha256:a9ff4d1e34b5afd3963bd5ec34b57fbc2d384166d64b7c917d6ff2c74ae2cc88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000799", "prompt": "Calculate: 9 - (-2) * (9 / 802)", "solution_steps": ["Divide: 9 / 802 = 9/802", "Multiply: -2 * (9/802) = -9/401", "Subtract: 9 - (-9/401) = 3618/401"], "final_answer": "3618/401", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-2) * (9 / 802)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -2, \"c\": 9, \"d\": 802}", "seed": "12421981014656798669", "semantic_fingerprint": "sha256:218c7e054821a00783cf28a03a9b74854238c2e7b3636bbd43980d77c14309e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000800", "prompt": "Solve for x: 3x = 2(x + 7) - 31", "solution_steps": ["Expand: 3x = 2x + 14 - 31", "Combine constants: 3x = 2x - 17", "Subtract 2x from both sides: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 2(x + 7) - 31", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 7, \"e\": -31, \"x\": -17}", "seed": "10415218096844681317", "semantic_fingerprint": "sha256:776e28e33edea1fa076002dff646e1c04072d877d0e6481dbf308cbe02eb5e95", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000801", "prompt": "Evaluate: (-7 - 9 - 8 - 9) / 7 * 57", "solution_steps": ["Subtract: -7 - 9 = -16", "Subtract: -16 - 8 = -24", "Subtract: -24 - 9 = -33", "Divide: -33 / 7 = -33/7", "Multiply: (-33/7) * 57 = -1881/7"], "final_answer": "-1881/7", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 9 - 8 - 9) / 7 * 57", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (- (- n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 8, \"d\": 9, \"e\": 7, \"f\": 57}", "seed": "2891538751672081785", "semantic_fingerprint": "sha256:ec033c20379f09e3ae5dfe1fa143c68a2b2163654b31151a0c5ab79d1cb9e879", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000802", "prompt": "Calculate: -6 * (-34) + (-98 + (-9)) / (-8)", "solution_steps": ["Multiply: -6 * (-34) = 204", "Add: -98 + (-9) = -107", "Divide: -107 / (-8) = 107/8", "Add: 204 + 107/8 = 1739/8"], "final_answer": "1739/8", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-34) + (-98 + (-9)) / (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -34, \"c\": -98, \"d\": -9, \"e\": -8}", "seed": "13679116200120318324", "semantic_fingerprint": "sha256:b78c194933656e2f09211f64215cdafe05da9d1bcbb57f2e5d084f7674cbe469", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000803", "prompt": "Solve for x: 5(x + 3) + 99 = x + 74", "solution_steps": ["Expand: 5x + 15 + 99 = x + 74", "Combine constants: 5x + 114 = x + 74", "Subtract x from both sides: 4x + 114 = 74", "Subtract 114 from both sides: 4x = -40", "Divide both sides by 4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) + 99 = x + 74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 99, \"e\": 74, \"x\": -10}", "seed": "4052250085415402670", "semantic_fingerprint": "sha256:0111262c12217d547bf8e044c7f2338fea48c3918455e221775e24a6faed5f8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000804", "prompt": "Evaluate: 51 / (-59 + 2) / (68 - (-8))", "solution_steps": ["Add: -59 + 2 = -57", "Divide: 51 / (-57) = -17/19", "Subtract: 68 - (-8) = 76", "Divide: (-17/19) / 76 = -17/1444"], "final_answer": "-17/1444", "answer_type": "rational", "kind": "expression", "math_text": "51 / (-59 + 2) / (68 - (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -59, \"c\": 2, \"d\": 68, \"e\": -8}", "seed": "11234706918032807964", "semantic_fingerprint": "sha256:54c732c7d8bf7cb89c363d7bcc96617b465cb0e92db5c4b34ba193721b9089d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000805", "prompt": "Evaluate: -91 / (-70 - 86 - (-2) + (-6))", "solution_steps": ["Subtract: -70 - 86 = -156", "Subtract: -156 - (-2) = -154", "Add: -154 + (-6) = -160", "Divide: -91 / (-160) = 91/160"], "final_answer": "91/160", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (-70 - 86 - (-2) + (-6))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -70, \"c\": 86, \"d\": -2, \"e\": -6}", "seed": "17858047268882565890", "semantic_fingerprint": "sha256:35365d2b995976daf147e68fd488bc967f87c8c57538aec144c9d77643dd6d71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000806", "prompt": "What is -73 - 253 * (-745) + (-583 + 1) * (-45)?", "solution_steps": ["Multiply: 253 * (-745) = -188485", "Subtract: -73 - (-188485) = 188412", "Add: -583 + 1 = -582", "Multiply: -582 * (-45) = 26190", "Add: 188412 + 26190 = 214602"], "final_answer": "214602", "answer_type": "integer", "kind": "expression", "math_text": "-73 - 253 * (-745) + (-583 + 1) * (-45)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 253, \"c\": -745, \"d\": -583, \"e\": 1, \"f\": -45}", "seed": "16361036032597907021", "semantic_fingerprint": "sha256:7d6a0fe6eaeea00779206bacdadcc868c095ec48a5fad78fd3bc44ce7fe7540f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000807", "prompt": "Solve the equation 2(x + 99) = 3(x - 90) + 483 for x.", "solution_steps": ["Expand: 2x + 198 = 3(x - 90) + 483", "Expand: 2x + 198 = 3x - 270 + 483", "Combine constants: 2x + 198 = 3x + 213", "Subtract 3x from both sides: -x + 198 = 213", "Subtract 198 from both sides: -x = 15", "Divide both sides by -1: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 99) = 3(x - 90) + 483", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 99, \"c\": 3, \"d\": 90, \"f\": 483, \"x\": -15}", "seed": "10734204683192214611", "semantic_fingerprint": "sha256:48464527c37a8630095bc1019ef843a399898d19c7c2d59c08f3295f8caadbe4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000808", "prompt": "What value of x satisfies 5(x + 726) + 5 = x + 85?", "solution_steps": ["Expand: 5x + 3630 + 5 = x + 85", "Combine constants: 5x + 3635 = x + 85", "Subtract x from both sides: 4x + 3635 = 85", "Subtract 3635 from both sides: 4x = -3550", "Divide both sides by 4: x = -1775/2"], "final_answer": "-1775/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 726) + 5 = x + 85", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 726, \"c\": 5, \"d\": 85}", "seed": "16304796453055842385", "semantic_fingerprint": "sha256:4ace4232707a4882fd2b290868aa8a0ebaafdbae810ba7a95e5ae6d7943f3d4e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000809", "prompt": "Calculate: -479 * (66 + (5 + (-9)) - 70 - 0)", "solution_steps": ["Add: 5 + (-9) = -4", "Add: 66 + (-4) = 62", "Subtract: 62 - 70 = -8", "Subtract: -8 - 0 = -8", "Multiply: -479 * (-8) = 3832"], "final_answer": "3832", "answer_type": "integer", "kind": "expression", "math_text": "-479 * (66 + (5 + (-9)) - 70 - 0)", "variable": null, "family": "expression_5op", "shape": "(* n (- (- (+ n (+ n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -479, \"b\": 66, \"c\": 5, \"d\": -9, \"e\": 70, \"f\": 0}", "seed": "5928830186680089574", "semantic_fingerprint": "sha256:fd69be8013fda48dc642b39da5090e64a61c007c2d06ae44cf4663f1188ed517", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000810", "prompt": "Find x: 9(x + 7) + 602 = x + 625", "solution_steps": ["Expand: 9x + 63 + 602 = x + 625", "Combine constants: 9x + 665 = x + 625", "Subtract x from both sides: 8x + 665 = 625", "Subtract 665 from both sides: 8x = -40", "Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 7) + 602 = x + 625", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 602, \"e\": 625, \"x\": -5}", "seed": "2256495147183453454", "semantic_fingerprint": "sha256:675b263258e4b7d29c33ac63f1d0924d45f232d27ee9830fe0b98623072f3c1d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000811", "prompt": "What is (-778 - (-5) * 8) / 2?", "solution_steps": ["Multiply: -5 * 8 = -40", "Subtract: -778 - (-40) = -738", "Divide: -738 / 2 = -369"], "final_answer": "-369", "answer_type": "integer", "kind": "expression", "math_text": "(-778 - (-5) * 8) / 2", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -778, \"b\": -5, \"c\": 8, \"d\": 2}", "seed": "18026509573799166405", "semantic_fingerprint": "sha256:8995b37747fa55462829df24a4d4fab1553c14e51a0f4ee1e304becbd7e78b10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000812", "prompt": "Compute: 494 + (696 - (-7)) + 1", "solution_steps": ["Subtract: 696 - (-7) = 703", "Add: 494 + 703 = 1197", "Add: 1197 + 1 = 1198"], "final_answer": "1198", "answer_type": "integer", "kind": "expression", "math_text": "494 + (696 - (-7)) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 494, \"b\": 696, \"c\": -7, \"d\": 1}", "seed": "6912406538304793004", "semantic_fingerprint": "sha256:5411cefe9b123ba5551490e2f865a9f265efff039644cb6368bf3de8769862dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000813", "prompt": "Calculate: -4 - (-6) * (1 / 5)", "solution_steps": ["Divide: 1 / 5 = 1/5", "Multiply: -6 * (1/5) = -6/5", "Subtract: -4 - (-6/5) = -14/5"], "final_answer": "-14/5", "answer_type": "rational", "kind": "expression", "math_text": "-4 - (-6) * (1 / 5)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": 1, \"d\": 5}", "seed": "13121105242816614394", "semantic_fingerprint": "sha256:ad9754822427471b86cc81427778e5b621623e6fba82c505807a03d532907923", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000814", "prompt": "What value of x satisfies 8x - 900 = 11(x - 81)?", "solution_steps": ["Expand: 8x - 900 = 11x - 891", "Subtract 11x from both sides: -3x - 900 = -891", "Add 900 to both sides: -3x = 9", "Divide both sides by -3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 900 = 11(x - 81)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 11, \"c\": 81, \"e\": -900, \"x\": -3}", "seed": "8356302000914112416", "semantic_fingerprint": "sha256:59d94529814579a6e3d0b03afaf59ce167d11758ff89e4c02a365fc8ecb626a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000815", "prompt": "Solve the equation 11(x + 488) - 3 = x + 9 for x.", "solution_steps": ["Expand: 11x + 5368 - 3 = x + 9", "Combine constants: 11x + 5365 = x + 9", "Subtract x from both sides: 10x + 5365 = 9", "Subtract 5365 from both sides: 10x = -5356", "Divide both sides by 10: x = -2678/5"], "final_answer": "-2678/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 488) - 3 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 488, \"c\": 3, \"d\": 9}", "seed": "15065525741269276064", "semantic_fingerprint": "sha256:b2b2b3584b834877a0b7046b33701b03014e15ba62a97c4f61433513a348c9c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000816", "prompt": "What value of x satisfies -7(x - 93) - 410 = x + 393?", "solution_steps": ["Expand: -7x + 651 - 410 = x + 393", "Combine constants: -7x + 241 = x + 393", "Subtract x from both sides: -8x + 241 = 393", "Subtract 241 from both sides: -8x = 152", "Divide both sides by -8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 93) - 410 = x + 393", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 93, \"c\": 410, \"e\": 393, \"x\": -19}", "seed": "1915656333152303729", "semantic_fingerprint": "sha256:2ea2b9de34ad0ac1f5ee57323b90b2f2681047b75d0fb4298c5e4d95aad76df4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000817", "prompt": "Find x: 11x = 5(x + 707) - 8", "solution_steps": ["Expand: 11x = 5x + 3535 - 8", "Combine constants: 11x = 5x + 3527", "Subtract 5x from both sides: 6x = 3527", "Divide both sides by 6: x = 3527/6"], "final_answer": "3527/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = 5(x + 707) - 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 707, \"d\": 8}", "seed": "15374634598767466937", "semantic_fingerprint": "sha256:516951e96183785cff986ea2475ff05d6445e377380067a12c8b8083dbbf3fa7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000818", "prompt": "Solve the equation 4x = 5(x + 6) - 48 for x.", "solution_steps": ["Expand: 4x = 5x + 30 - 48", "Combine constants: 4x = 5x - 18", "Subtract 5x from both sides: -x = -18", "Divide both sides by -1: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 5(x + 6) - 48", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 6, \"e\": -48, \"x\": 18}", "seed": "15073244700780129469", "semantic_fingerprint": "sha256:0a43d4c435f5460a9940298b0df97ab485af7e5fe7fb5256e748c541c5733a8f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000819", "prompt": "What is (6 / (-24) - 9) * (1 + (-35))?", "solution_steps": ["Divide: 6 / (-24) = -1/4", "Subtract: -1/4 - 9 = -37/4", "Add: 1 + (-35) = -34", "Multiply: (-37/4) * (-34) = 629/2"], "final_answer": "629/2", "answer_type": "rational", "kind": "expression", "math_text": "(6 / (-24) - 9) * (1 + (-35))", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -24, \"c\": 9, \"d\": 1, \"e\": -35}", "seed": "6789829628385293883", "semantic_fingerprint": "sha256:b1be4c8dc7288bd99fa8b167df60abababdedec4b60c6cdde5055e9268b0a757", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000820", "prompt": "Solve the equation 2(x - 8) - 35 = x + 92 for x.", "solution_steps": ["Expand: 2x - 16 - 35 = x + 92", "Combine constants: 2x - 51 = x + 92", "Subtract x from both sides: x - 51 = 92", "Add 51 to both sides: x = 143"], "final_answer": "143", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) - 35 = x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 35, \"d\": 92}", "seed": "7965805665532498330", "semantic_fingerprint": "sha256:456392a735d95fc0061ef7b3dc1465d1974be68498074f8b5155fde7c28718f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000821", "prompt": "What value of x satisfies 11x - 28 = 8(x - 5)?", "solution_steps": ["Expand: 11x - 28 = 8x - 40", "Subtract 8x from both sides: 3x - 28 = -40", "Add 28 to both sides: 3x = -12", "Divide both sides by 3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 28 = 8(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 5, \"e\": -28, \"x\": -4}", "seed": "1554856800040986571", "semantic_fingerprint": "sha256:3cb79c8c8b2270e9e76c624f2692059e4badb831128a2b68640e65a6586fd2aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000822", "prompt": "Compute: -6 / (50 / 747) + 18", "solution_steps": ["Divide: 50 / 747 = 50/747", "Divide: -6 / (50/747) = -2241/25", "Add: -2241/25 + 18 = -1791/25"], "final_answer": "-1791/25", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (50 / 747) + 18", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 50, \"c\": 747, \"d\": 18}", "seed": "13926883828926826351", "semantic_fingerprint": "sha256:3ea83541a2bee485af49473249db5e033ba4bfe3b43f4344cdd2e219836c93a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000823", "prompt": "What is -440 * (-4) + (-5) * 704?", "solution_steps": ["Multiply: -440 * (-4) = 1760", "Multiply: -5 * 704 = -3520", "Add: 1760 + (-3520) = -1760"], "final_answer": "-1760", "answer_type": "integer", "kind": "expression", "math_text": "-440 * (-4) + (-5) * 704", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -440, \"b\": -4, \"c\": -5, \"d\": 704}", "seed": "9536365590857928059", "semantic_fingerprint": "sha256:c2401ffe2ab4fbbacc24a6c9a289e0e45087938eebeb801034ac5aa57e620e28", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000824", "prompt": "Calculate: (-1 / (-516) + (-52 + (-2))) / (-6)", "solution_steps": ["Divide: -1 / (-516) = 1/516", "Add: -52 + (-2) = -54", "Add: 1/516 + (-54) = -27863/516", "Divide: (-27863/516) / (-6) = 27863/3096"], "final_answer": "27863/3096", "answer_type": "rational", "kind": "expression", "math_text": "(-1 / (-516) + (-52 + (-2))) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -516, \"c\": -52, \"d\": -2, \"e\": -6}", "seed": "16893411988456613032", "semantic_fingerprint": "sha256:c714fd6d4ac1b9577a02da9bfa6deb7da23bc00b0a56d648dcc78df7b9db1f67", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000825", "prompt": "Find x: -2(x + 6) = 11(x - 98) + 936", "solution_steps": ["Expand: -2x - 12 = 11(x - 98) + 936", "Expand: -2x - 12 = 11x - 1078 + 936", "Combine constants: -2x - 12 = 11x - 142", "Subtract 11x from both sides: -13x - 12 = -142", "Add 12 to both sides: -13x = -130", "Divide both sides by -13: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 6) = 11(x - 98) + 936", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 11, \"d\": 98, \"f\": 936, \"x\": 10}", "seed": "1080052215171910758", "semantic_fingerprint": "sha256:dbc393e40c30eb26412ff2479f96cc857388b50af86a874b30d2a7aa84e7b0e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000826", "prompt": "What is -243 + (-67 - (8 + 0))?", "solution_steps": ["Add: 8 + 0 = 8", "Subtract: -67 - 8 = -75", "Add: -243 + (-75) = -318"], "final_answer": "-318", "answer_type": "integer", "kind": "expression", "math_text": "-243 + (-67 - (8 + 0))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -243, \"b\": -67, \"c\": 8, \"d\": 0}", "seed": "13537792282150477096", "semantic_fingerprint": "sha256:0df00be556442f24792b1eb2f4477d70581705eab796cc8d2fd874468415d87b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000827", "prompt": "Evaluate: 4 - 521 - ((4 - (-768)) / 120 + (-41))", "solution_steps": ["Subtract: 4 - 521 = -517", "Subtract: 4 - (-768) = 772", "Divide: 772 / 120 = 193/30", "Add: 193/30 + (-41) = -1037/30", "Subtract: -517 - (-1037/30) = -14473/30"], "final_answer": "-14473/30", "answer_type": "rational", "kind": "expression", "math_text": "4 - 521 - ((4 - (-768)) / 120 + (-41))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (/ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 521, \"c\": 4, \"d\": -768, \"e\": 120, \"f\": -41}", "seed": "1690911834922346214", "semantic_fingerprint": "sha256:32d591c231b8c1b145e59cea433912f4769d80c8065e6c83f953641a2649dc59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000828", "prompt": "What is 943 * 6 - (-96 + 347) * (-60 + 0)?", "solution_steps": ["Multiply: 943 * 6 = 5658", "Add: -96 + 347 = 251", "Add: -60 + 0 = -60", "Multiply: 251 * (-60) = -15060", "Subtract: 5658 - (-15060) = 20718"], "final_answer": "20718", "answer_type": "integer", "kind": "expression", "math_text": "943 * 6 - (-96 + 347) * (-60 + 0)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 943, \"b\": 6, \"c\": -96, \"d\": 347, \"e\": -60, \"f\": 0}", "seed": "4745271205642647381", "semantic_fingerprint": "sha256:569609fcb79669d830370f1b8092c7f53e61099aea603631b44ca98b6f03b68e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000829", "prompt": "What is (60 - 56 / (-65)) * (-7 / 2)?", "solution_steps": ["Divide: 56 / (-65) = -56/65", "Subtract: 60 - (-56/65) = 3956/65", "Divide: -7 / 2 = -7/2", "Multiply: (3956/65) * (-7/2) = -13846/65"], "final_answer": "-13846/65", "answer_type": "rational", "kind": "expression", "math_text": "(60 - 56 / (-65)) * (-7 / 2)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 56, \"c\": -65, \"d\": -7, \"e\": 2}", "seed": "8888187206759989406", "semantic_fingerprint": "sha256:8d7637dab9b0427a2907bae646688b5b3cd8ba45b36f882147fd70c9a9e94159", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000830", "prompt": "Evaluate: (51 + 78) * (-38 - (-371 - 5))", "solution_steps": ["Add: 51 + 78 = 129", "Subtract: -371 - 5 = -376", "Subtract: -38 - (-376) = 338", "Multiply: 129 * 338 = 43602"], "final_answer": "43602", "answer_type": "integer", "kind": "expression", "math_text": "(51 + 78) * (-38 - (-371 - 5))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 78, \"c\": -38, \"d\": -371, \"e\": 5}", "seed": "13948494827267902430", "semantic_fingerprint": "sha256:21655d513c96acb5e1bd353abe645d24fec39f29a0e14b7517682177595eca60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000831", "prompt": "Compute: (-48 + (-578) / 138) * (3 - (-4))", "solution_steps": ["Divide: -578 / 138 = -289/69", "Add: -48 + (-289/69) = -3601/69", "Subtract: 3 - (-4) = 7", "Multiply: (-3601/69) * 7 = -25207/69"], "final_answer": "-25207/69", "answer_type": "rational", "kind": "expression", "math_text": "(-48 + (-578) / 138) * (3 - (-4))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -578, \"c\": 138, \"d\": 3, \"e\": -4}", "seed": "7483298765483772013", "semantic_fingerprint": "sha256:362e938b440d5cda64659ae814bc5c7b893f0f168b063a1c95ff8fd8a56c70f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000832", "prompt": "Calculate: -81 + 69 * 6 - (-25) - (-393)", "solution_steps": ["Multiply: 69 * 6 = 414", "Add: -81 + 414 = 333", "Subtract: 333 - (-25) = 358", "Subtract: 358 - (-393) = 751"], "final_answer": "751", "answer_type": "integer", "kind": "expression", "math_text": "-81 + 69 * 6 - (-25) - (-393)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 69, \"c\": 6, \"d\": -25, \"e\": -393}", "seed": "6944455206389584285", "semantic_fingerprint": "sha256:42859acc7575f4c6cc35f2bb980930e63fc0322b361585dd7a8c1f4fae530c87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000833", "prompt": "Solve the equation 11x = -11(x + 8) - 308 for x.", "solution_steps": ["Expand: 11x = -11x - 88 - 308", "Combine constants: 11x = -11x - 396", "Add 11x to both sides: 22x = -396", "Divide both sides by 22: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -11(x + 8) - 308", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -11, \"c\": 8, \"e\": -308, \"x\": -18}", "seed": "808566758563421755", "semantic_fingerprint": "sha256:be4645cd740bb11198e77893d7ebf9e75980490898492b0a3e2649dae84c642b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000834", "prompt": "Solve the equation 9x - 8 = 6x - 47 for x.", "solution_steps": ["Subtract 6x from both sides: 3x - 8 = -47", "Add 8 to both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 8 = 6x - 47", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 6, \"e\": -47, \"x\": -13}", "seed": "5808601338795293633", "semantic_fingerprint": "sha256:639e1afe113a3e1c27def2166cd67dd21f278e03eaae91e74a2c627b7286ab5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000835", "prompt": "Solve the equation 6x = 9(x + 1) + 42 for x.", "solution_steps": ["Expand: 6x = 9x + 9 + 42", "Combine constants: 6x = 9x + 51", "Subtract 9x from both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 9(x + 1) + 42", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 1, \"e\": 42, \"x\": -17}", "seed": "659092502081244555", "semantic_fingerprint": "sha256:a7fed16a84c4ec3f95991b9a67d7aafd0e97fece99ec50caa611179fd46ec31f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000836", "prompt": "Solve for x: 2x - 310 = -3x - 360", "solution_steps": ["Add 3x to both sides: 5x - 310 = -360", "Add 310 to both sides: 5x = -50", "Divide both sides by 5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 310 = -3x - 360", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 310, \"c\": -3, \"e\": -360, \"x\": -10}", "seed": "5886669733513460356", "semantic_fingerprint": "sha256:01bb5869adeb4ffd3e3ffc1ede51e3331b9daa20e12d796566bb7202593e960a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000837", "prompt": "Evaluate: (-23 - 4 * (-231)) / (-3)", "solution_steps": ["Multiply: 4 * (-231) = -924", "Subtract: -23 - (-924) = 901", "Divide: 901 / (-3) = -901/3"], "final_answer": "-901/3", "answer_type": "rational", "kind": "expression", "math_text": "(-23 - 4 * (-231)) / (-3)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 4, \"c\": -231, \"d\": -3}", "seed": "12632136598050510119", "semantic_fingerprint": "sha256:a678291a6b597c04d69c0bd84f68e2897a9f584706d88864e1c7a992eacaf738", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000838", "prompt": "Find x: -3x - 197 = 8(x - 4)", "solution_steps": ["Expand: -3x - 197 = 8x - 32", "Subtract 8x from both sides: -11x - 197 = -32", "Add 197 to both sides: -11x = 165", "Divide both sides by -11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 197 = 8(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 4, \"e\": -197, \"x\": -15}", "seed": "13064729113533316009", "semantic_fingerprint": "sha256:46ed48d161ac2b6716fd3898927c558f3f805b07be9c1fe91548184260d6bdf1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000839", "prompt": "Solve for x: -2(x - 45) + 466 = 12(x + 65)", "solution_steps": ["Expand: -2x + 90 + 466 = 12(x + 65)", "Expand: -2x + 90 + 466 = 12x + 780", "Combine constants: -2x + 556 = 12x + 780", "Subtract 12x from both sides: -14x + 556 = 780", "Subtract 556 from both sides: -14x = 224", "Divide both sides by -14: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 45) + 466 = 12(x + 65)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 45, \"c\": 12, \"d\": 65, \"f\": 466, \"x\": -16}", "seed": "15136801458415728699", "semantic_fingerprint": "sha256:59e9097040097cb928ad1a7b81311e4f189ea735ec8f40ecf657ea875c5aff82", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000840", "prompt": "Solve the equation 12x - 99 = 7x - 79 for x.", "solution_steps": ["Subtract 7x from both sides: 5x - 99 = -79", "Add 99 to both sides: 5x = 20", "Divide both sides by 5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 99 = 7x - 79", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 99, \"c\": 7, \"e\": -79, \"x\": 4}", "seed": "2285725959762939013", "semantic_fingerprint": "sha256:d705933f1a1d1765f93cbd65b867bc5f2eb7a50d3121790e5fd8f3f2c383bd23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000841", "prompt": "Evaluate: -24 + 28 - (-75) - 280 + (-79 - (-35))", "solution_steps": ["Add: -24 + 28 = 4", "Subtract: 4 - (-75) = 79", "Subtract: 79 - 280 = -201", "Subtract: -79 - (-35) = -44", "Add: -201 + (-44) = -245"], "final_answer": "-245", "answer_type": "integer", "kind": "expression", "math_text": "-24 + 28 - (-75) - 280 + (-79 - (-35))", "variable": null, "family": "expression_5op", "shape": "(+ (- (- (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 28, \"c\": -75, \"d\": 280, \"e\": -79, \"f\": -35}", "seed": "1301618349050546003", "semantic_fingerprint": "sha256:23dc9323ac8a92da0679c718f260ed3f23e11a6d01c7c73d808526d753f8d7a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000842", "prompt": "What is 6 / 8 * 603 - 96 * (-2)?", "solution_steps": ["Divide: 6 / 8 = 3/4", "Multiply: (3/4) * 603 = 1809/4", "Multiply: 96 * (-2) = -192", "Subtract: 1809/4 - (-192) = 2577/4"], "final_answer": "2577/4", "answer_type": "rational", "kind": "expression", "math_text": "6 / 8 * 603 - 96 * (-2)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 603, \"d\": 96, \"e\": -2}", "seed": "14785970320239849070", "semantic_fingerprint": "sha256:d20182f1d9c343bada193e279325081967e633f76f72a709c14462dd0800556e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000843", "prompt": "Evaluate: -1 - 6 * (78 / 9)", "solution_steps": ["Divide: 78 / 9 = 26/3", "Multiply: 6 * (26/3) = 52", "Subtract: -1 - 52 = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 6 * (78 / 9)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 6, \"c\": 78, \"d\": 9}", "seed": "14424458446383672147", "semantic_fingerprint": "sha256:195a3eb4b6b7360b12870ad354281a319071b2e2f9349cb4a3c9fd10939b744b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000844", "prompt": "Evaluate: 27 * (-11) + (1 + 99) / 19", "solution_steps": ["Multiply: 27 * (-11) = -297", "Add: 1 + 99 = 100", "Divide: 100 / 19 = 100/19", "Add: -297 + 100/19 = -5543/19"], "final_answer": "-5543/19", "answer_type": "rational", "kind": "expression", "math_text": "27 * (-11) + (1 + 99) / 19", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -11, \"c\": 1, \"d\": 99, \"e\": 19}", "seed": "15870643581766009940", "semantic_fingerprint": "sha256:e32b7dc877bbae56e4cb0d99823200b4b146a0f5ec1a75e1bccc381eb0e8b328", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000845", "prompt": "Evaluate: -43 * (-3) + 16 * 595", "solution_steps": ["Multiply: -43 * (-3) = 129", "Multiply: 16 * 595 = 9520", "Add: 129 + 9520 = 9649"], "final_answer": "9649", "answer_type": "integer", "kind": "expression", "math_text": "-43 * (-3) + 16 * 595", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -3, \"c\": 16, \"d\": 595}", "seed": "15567149198786556641", "semantic_fingerprint": "sha256:d02101686537b5e888411347adaf390c54e5de43b96dc1af64f323c5619bf718", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000846", "prompt": "Find x: 7(x + 86) - 1 = x + 649", "solution_steps": ["Expand: 7x + 602 - 1 = x + 649", "Combine constants: 7x + 601 = x + 649", "Subtract x from both sides: 6x + 601 = 649", "Subtract 601 from both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 86) - 1 = x + 649", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 86, \"c\": 1, \"e\": 649, \"x\": 8}", "seed": "12937432482903788040", "semantic_fingerprint": "sha256:e6c7a1c59d1f1254972c6fef1a81b4fdd78d6c6299e09b096eee349acfe226f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000847", "prompt": "What is -78 * (-2) + 983 * 9?", "solution_steps": ["Multiply: -78 * (-2) = 156", "Multiply: 983 * 9 = 8847", "Add: 156 + 8847 = 9003"], "final_answer": "9003", "answer_type": "integer", "kind": "expression", "math_text": "-78 * (-2) + 983 * 9", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -2, \"c\": 983, \"d\": 9}", "seed": "2025934027082080787", "semantic_fingerprint": "sha256:e08fcd2256cf797ed66aa996cd942a4233d641a7f2f3583272444afb6947c94d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000848", "prompt": "Calculate: 8 + (6 - (6 + (-820)))", "solution_steps": ["Add: 6 + (-820) = -814", "Subtract: 6 - (-814) = 820", "Add: 8 + 820 = 828"], "final_answer": "828", "answer_type": "integer", "kind": "expression", "math_text": "8 + (6 - (6 + (-820)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 6, \"d\": -820}", "seed": "17760230463590920638", "semantic_fingerprint": "sha256:c08d53dd766c1bfc40fecafa13fcb5423bde0688e9a2eb89ae0d1eca10c8822b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000849", "prompt": "What value of x satisfies 5x - 731 = 12(x - 65)?", "solution_steps": ["Expand: 5x - 731 = 12x - 780", "Subtract 12x from both sides: -7x - 731 = -780", "Add 731 to both sides: -7x = -49", "Divide both sides by -7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 731 = 12(x - 65)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 65, \"e\": -731, \"x\": 7}", "seed": "14112768744730861916", "semantic_fingerprint": "sha256:0043d0878c43610e15521d2f6c5b64c7b5b2557561749f1d2d2d2d9574f00556", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000850", "prompt": "What value of x satisfies 7(x - 8) + 267 = -6(x + 6)?", "solution_steps": ["Expand: 7x - 56 + 267 = -6(x + 6)", "Expand: 7x - 56 + 267 = -6x - 36", "Combine constants: 7x + 211 = -6x - 36", "Add 6x to both sides: 13x + 211 = -36", "Subtract 211 from both sides: 13x = -247", "Divide both sides by 13: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) + 267 = -6(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": -6, \"d\": 6, \"f\": 267, \"x\": -19}", "seed": "8877326515203346018", "semantic_fingerprint": "sha256:300cf2f9545af5a860a528d2fd86516b7c04749f6792c9c440320cbba861f5e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000851", "prompt": "Evaluate: (4 + (-41)) * (-917 + (-81 - (-60) + 193))", "solution_steps": ["Add: 4 + (-41) = -37", "Subtract: -81 - (-60) = -21", "Add: -21 + 193 = 172", "Add: -917 + 172 = -745", "Multiply: -37 * (-745) = 27565"], "final_answer": "27565", "answer_type": "integer", "kind": "expression", "math_text": "(4 + (-41)) * (-917 + (-81 - (-60) + 193))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ n (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -41, \"c\": -917, \"d\": -81, \"e\": -60, \"f\": 193}", "seed": "4470654173732599615", "semantic_fingerprint": "sha256:247cf7f49543c629a429b37ae48c495520f4d7fc9e6f9a461ffc90ad7d2cbbf2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000852", "prompt": "Evaluate: -3 * (-1 * (-492)) + (-28)", "solution_steps": ["Multiply: -1 * (-492) = 492", "Multiply: -3 * 492 = -1476", "Add: -1476 + (-28) = -1504"], "final_answer": "-1504", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-1 * (-492)) + (-28)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -1, \"c\": -492, \"d\": -28}", "seed": "8782722532969330920", "semantic_fingerprint": "sha256:c1ce92dbf4a204616d63196859ae4784954af372af3c33986d2bbb2429783145", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000853", "prompt": "What is (-64 + 81) / (-55 - (-428)) / (-3)?", "solution_steps": ["Add: -64 + 81 = 17", "Subtract: -55 - (-428) = 373", "Divide: 17 / 373 = 17/373", "Divide: (17/373) / (-3) = -17/1119"], "final_answer": "-17/1119", "answer_type": "rational", "kind": "expression", "math_text": "(-64 + 81) / (-55 - (-428)) / (-3)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 81, \"c\": -55, \"d\": -428, \"e\": -3}", "seed": "13122011771245944941", "semantic_fingerprint": "sha256:7c2d3d85487ebc1e9619423dbb294d0066643afce8ebe65f5de7cae5e65fe6f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000854", "prompt": "Calculate: (-25 + (-722)) / (-81) + (-7)", "solution_steps": ["Add: -25 + (-722) = -747", "Divide: -747 / (-81) = 83/9", "Add: 83/9 + (-7) = 20/9"], "final_answer": "20/9", "answer_type": "rational", "kind": "expression", "math_text": "(-25 + (-722)) / (-81) + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -722, \"c\": -81, \"d\": -7}", "seed": "12294258930636413607", "semantic_fingerprint": "sha256:bb87893ded84ce022870b0a920cba6d649c11cdc292691a8033c4bf012ad2df8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000855", "prompt": "Solve for x: 8x - 490 = 7x - 486", "solution_steps": ["Subtract 7x from both sides: x - 490 = -486", "Add 490 to both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 490 = 7x - 486", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 490, \"c\": 7, \"e\": -486, \"x\": 4}", "seed": "5831798500858183835", "semantic_fingerprint": "sha256:b9c3da0dc0c498f6f9252b3ad4fb6309cace577daf7c53fc8ac23e672054395a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000856", "prompt": "Calculate: 40 / (-676 / (-473)) * (-1) / (-37)", "solution_steps": ["Divide: -676 / (-473) = 676/473", "Divide: 40 / (676/473) = 4730/169", "Multiply: (4730/169) * (-1) = -4730/169", "Divide: (-4730/169) / (-37) = 4730/6253"], "final_answer": "4730/6253", "answer_type": "rational", "kind": "expression", "math_text": "40 / (-676 / (-473)) * (-1) / (-37)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -676, \"c\": -473, \"d\": -1, \"e\": -37}", "seed": "8522980119699337016", "semantic_fingerprint": "sha256:d67575a1c842b96dc1230038068fb495ad5926eeb1a53849be8de0b0671bbae4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000857", "prompt": "What is 7 / (-78 * (89 + (-66)))?", "solution_steps": ["Add: 89 + (-66) = 23", "Multiply: -78 * 23 = -1794", "Divide: 7 / (-1794) = -7/1794"], "final_answer": "-7/1794", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-78 * (89 + (-66)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -78, \"c\": 89, \"d\": -66}", "seed": "11374979464175734482", "semantic_fingerprint": "sha256:d413fc48763d45a193fe798c6e0da722e7d1c16419544a5514bb6287bb3b28a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000858", "prompt": "Solve the equation -2(x + 3) = -9(x - 8) + 693 for x.", "solution_steps": ["Expand: -2x - 6 = -9(x - 8) + 693", "Expand: -2x - 6 = -9x + 72 + 693", "Combine constants: -2x - 6 = -9x + 765", "Add 9x to both sides: 7x - 6 = 765", "Add 6 to both sides: 7x = 771", "Divide both sides by 7: x = 771/7"], "final_answer": "771/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 3) = -9(x - 8) + 693", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": -9, \"d\": 8, \"e\": 693}", "seed": "1103546250175766033", "semantic_fingerprint": "sha256:f99e10cd6a9a03fc50ea2be0350532007e597ba6f9ade4978f789d390d4d2f7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000859", "prompt": "Calculate: 266 * (906 + (-27 - (-457) + (-53) - 604))", "solution_steps": ["Subtract: -27 - (-457) = 430", "Add: 430 + (-53) = 377", "Subtract: 377 - 604 = -227", "Add: 906 + (-227) = 679", "Multiply: 266 * 679 = 180614"], "final_answer": "180614", "answer_type": "integer", "kind": "expression", "math_text": "266 * (906 + (-27 - (-457) + (-53) - 604))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (- (+ (- n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 266, \"b\": 906, \"c\": -27, \"d\": -457, \"e\": -53, \"f\": 604}", "seed": "3000248414469210419", "semantic_fingerprint": "sha256:83550d11b3c467b539e91c15e60c2f368b5032efc9e55a7e5f9eed0307890929", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000860", "prompt": "Find x: -8x - 362 = 12x - 62", "solution_steps": ["Subtract 12x from both sides: -20x - 362 = -62", "Add 362 to both sides: -20x = 300", "Divide both sides by -20: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 362 = 12x - 62", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 362, \"c\": 12, \"e\": -62, \"x\": -15}", "seed": "15458255260556270469", "semantic_fingerprint": "sha256:197e75a058e63277258b65b4fbda553e1b76621ff2bd989179fa172e9ffcab52", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000861", "prompt": "Calculate: 2 - (-26 + (-72 + 97 + (-31)))", "solution_steps": ["Add: -72 + 97 = 25", "Add: 25 + (-31) = -6", "Add: -26 + (-6) = -32", "Subtract: 2 - (-32) = 34"], "final_answer": "34", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-26 + (-72 + 97 + (-31)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -26, \"c\": -72, \"d\": 97, \"e\": -31}", "seed": "11373967760137400824", "semantic_fingerprint": "sha256:28a0479aef1bd690de86e9d17fef6eee18cfa657342515d5c23bddac7d18f72d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000862", "prompt": "Find x: 6x - 638 = 2(x - 327)", "solution_steps": ["Expand: 6x - 638 = 2x - 654", "Subtract 2x from both sides: 4x - 638 = -654", "Add 638 to both sides: 4x = -16", "Divide both sides by 4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 638 = 2(x - 327)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 327, \"e\": -638, \"x\": -4}", "seed": "14473621658818398132", "semantic_fingerprint": "sha256:0d080ad89e5ce5a70fc37a794848b95099c27036d3615aa27175858633abdf76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000863", "prompt": "Solve the equation -4x = -7(x + 865) - 71 for x.", "solution_steps": ["Expand: -4x = -7x - 6055 - 71", "Combine constants: -4x = -7x - 6126", "Add 7x to both sides: 3x = -6126", "Divide both sides by 3: x = -2042"], "final_answer": "-2042", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = -7(x + 865) - 71", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -7, \"c\": 865, \"d\": 71}", "seed": "8240269551497147446", "semantic_fingerprint": "sha256:49d8259f87e702beed0cfc141f1554a09e7260ba190346e1be7135b9fca1bf07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000864", "prompt": "Find x: -4x = 6(x + 54) - 404", "solution_steps": ["Expand: -4x = 6x + 324 - 404", "Combine constants: -4x = 6x - 80", "Subtract 6x from both sides: -10x = -80", "Divide both sides by -10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 6(x + 54) - 404", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 54, \"e\": -404, \"x\": 8}", "seed": "4494872377003450526", "semantic_fingerprint": "sha256:c2bd86aba4cea0e6eba844a02bc910c4c99676da815b57744074935708086da6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000865", "prompt": "Solve the equation -12(x + 748) + 48 = x + 887 for x.", "solution_steps": ["Expand: -12x - 8976 + 48 = x + 887", "Combine constants: -12x - 8928 = x + 887", "Subtract x from both sides: -13x - 8928 = 887", "Add 8928 to both sides: -13x = 9815", "Divide both sides by -13: x = -755"], "final_answer": "-755", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 748) + 48 = x + 887", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 748, \"c\": 48, \"d\": 887}", "seed": "16744906549924474088", "semantic_fingerprint": "sha256:2b2fcd4f608adab12ed533d14729b3afb2d33de2a0703c2a6636cc787d22958d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000866", "prompt": "Compute: 94 * 286 + (7 - (-111))", "solution_steps": ["Multiply: 94 * 286 = 26884", "Subtract: 7 - (-111) = 118", "Add: 26884 + 118 = 27002"], "final_answer": "27002", "answer_type": "integer", "kind": "expression", "math_text": "94 * 286 + (7 - (-111))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 286, \"c\": 7, \"d\": -111}", "seed": "14915551439200677158", "semantic_fingerprint": "sha256:5a2de232e3ef9b19b5f539c758f0911bd2b8a3bd77fe950bda647610f57a556e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000867", "prompt": "Evaluate: 9 * 26 - (-4) + 19 / (-364)", "solution_steps": ["Multiply: 9 * 26 = 234", "Subtract: 234 - (-4) = 238", "Divide: 19 / (-364) = -19/364", "Add: 238 + (-19/364) = 86613/364"], "final_answer": "86613/364", "answer_type": "rational", "kind": "expression", "math_text": "9 * 26 - (-4) + 19 / (-364)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 26, \"c\": -4, \"d\": 19, \"e\": -364}", "seed": "11665724482592366698", "semantic_fingerprint": "sha256:2e947f41d2d1a6a0d59dfe6d4e0c72b3e0b74cb026457b91471ade6b10a33578", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000868", "prompt": "Solve the equation 3(x + 98) - 165 = x + 9 for x.", "solution_steps": ["Expand: 3x + 294 - 165 = x + 9", "Combine constants: 3x + 129 = x + 9", "Subtract x from both sides: 2x + 129 = 9", "Subtract 129 from both sides: 2x = -120", "Divide both sides by 2: x = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 98) - 165 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 98, \"c\": 165, \"d\": 9}", "seed": "7514945337717622763", "semantic_fingerprint": "sha256:55b244faea338f2d8962253b6331ce35c51446d03f0c2b22f851dca12debc85b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000869", "prompt": "Find x: -11x - 483 = -10x - 488", "solution_steps": ["Add 10x to both sides: -x - 483 = -488", "Add 483 to both sides: -x = -5", "Divide both sides by -1: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 483 = -10x - 488", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 483, \"c\": -10, \"e\": -488, \"x\": 5}", "seed": "15243326929889249479", "semantic_fingerprint": "sha256:f0db36dc62e26dbe5164e3a9b653dbd82e00045af68990f4e680cc04e82a8412", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000870", "prompt": "Evaluate: 678 - (-3) / 1 - 30", "solution_steps": ["Divide: -3 / 1 = -3", "Subtract: 678 - (-3) = 681", "Subtract: 681 - 30 = 651"], "final_answer": "651", "answer_type": "integer", "kind": "expression", "math_text": "678 - (-3) / 1 - 30", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 678, \"b\": -3, \"c\": 1, \"d\": 30}", "seed": "18122044930707579382", "semantic_fingerprint": "sha256:3fcc4ac2dee4fca116c408feb1a7a83c089b639bb1eea5ae52153c4d61ba1dd2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000871", "prompt": "Compute: 34 - (-6) / ((-5 + (-79)) / 405)", "solution_steps": ["Add: -5 + (-79) = -84", "Divide: -84 / 405 = -28/135", "Divide: -6 / (-28/135) = 405/14", "Subtract: 34 - 405/14 = 71/14"], "final_answer": "71/14", "answer_type": "rational", "kind": "expression", "math_text": "34 - (-6) / ((-5 + (-79)) / 405)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -6, \"c\": -5, \"d\": -79, \"e\": 405}", "seed": "14308154039524758427", "semantic_fingerprint": "sha256:71d117c634250226fa04755675783ed2d054be87ae5fa77bba5321e94454aadf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000872", "prompt": "Calculate: 655 / (225 - (-2)) * 3 - 280 * 0", "solution_steps": ["Subtract: 225 - (-2) = 227", "Divide: 655 / 227 = 655/227", "Multiply: (655/227) * 3 = 1965/227", "Multiply: 280 * 0 = 0", "Subtract: 1965/227 - 0 = 1965/227"], "final_answer": "1965/227", "answer_type": "rational", "kind": "expression", "math_text": "655 / (225 - (-2)) * 3 - 280 * 0", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n (- n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 655, \"b\": 225, \"c\": -2, \"d\": 3, \"e\": 280, \"f\": 0}", "seed": "5098814890161130524", "semantic_fingerprint": "sha256:587022926ba048c4905c55b1640dee1c81c1d7ff55f95bd0ae62e206946ffa16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000873", "prompt": "Evaluate: 865 * (-16) + (-84 - (-14)) - 43", "solution_steps": ["Multiply: 865 * (-16) = -13840", "Subtract: -84 - (-14) = -70", "Add: -13840 + (-70) = -13910", "Subtract: -13910 - 43 = -13953"], "final_answer": "-13953", "answer_type": "integer", "kind": "expression", "math_text": "865 * (-16) + (-84 - (-14)) - 43", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 865, \"b\": -16, \"c\": -84, \"d\": -14, \"e\": 43}", "seed": "1330868575754349192", "semantic_fingerprint": "sha256:01f89ca1215da6eb81de24aba290d083c068342bde97e4d4eddda1d2c8137429", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000874", "prompt": "Calculate: (-58 / 7 + (-2)) / 7 / (-5)", "solution_steps": ["Divide: -58 / 7 = -58/7", "Add: -58/7 + (-2) = -72/7", "Divide: (-72/7) / 7 = -72/49", "Divide: (-72/49) / (-5) = 72/245"], "final_answer": "72/245", "answer_type": "rational", "kind": "expression", "math_text": "(-58 / 7 + (-2)) / 7 / (-5)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 7, \"c\": -2, \"d\": 7, \"e\": -5}", "seed": "2912480250528527552", "semantic_fingerprint": "sha256:b9359a0e10694fe12f5151af1ab6f808824da9ba2e99d7b3d4e392222112efe8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000875", "prompt": "Solve for x: -11x = 7(x + 691) - 81", "solution_steps": ["Expand: -11x = 7x + 4837 - 81", "Combine constants: -11x = 7x + 4756", "Subtract 7x from both sides: -18x = 4756", "Divide both sides by -18: x = -2378/9"], "final_answer": "-2378/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = 7(x + 691) - 81", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 691, \"d\": 81}", "seed": "8121914155819489403", "semantic_fingerprint": "sha256:cde3728f4aceddb9ce922993effd47eb7bc402d933eb5506ca7ab6686c1d9096", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000876", "prompt": "Compute: (-748 - (-173)) * (42 - (244 + 65))", "solution_steps": ["Subtract: -748 - (-173) = -575", "Add: 244 + 65 = 309", "Subtract: 42 - 309 = -267", "Multiply: -575 * (-267) = 153525"], "final_answer": "153525", "answer_type": "integer", "kind": "expression", "math_text": "(-748 - (-173)) * (42 - (244 + 65))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -748, \"b\": -173, \"c\": 42, \"d\": 244, \"e\": 65}", "seed": "9659817806548470375", "semantic_fingerprint": "sha256:e33caecabfa5e2cb315e6f28024ffc0a60942298207b7c1a52e47dcbfa78d11d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000877", "prompt": "What value of x satisfies 8x - 9 = -12x - 53?", "solution_steps": ["Add 12x to both sides: 20x - 9 = -53", "Add 9 to both sides: 20x = -44", "Divide both sides by 20: x = -11/5"], "final_answer": "-11/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 9 = -12x - 53", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": -12, \"d\": 53}", "seed": "15528112616790433517", "semantic_fingerprint": "sha256:33cf6938f903dbaf095ca5523d72b45c27ea2fc60a1457387b146ae0e2d67575", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000878", "prompt": "What is 21 - (51 - (-5 + 7 * (-46)))?", "solution_steps": ["Multiply: 7 * (-46) = -322", "Add: -5 + (-322) = -327", "Subtract: 51 - (-327) = 378", "Subtract: 21 - 378 = -357"], "final_answer": "-357", "answer_type": "integer", "kind": "expression", "math_text": "21 - (51 - (-5 + 7 * (-46)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 51, \"c\": -5, \"d\": 7, \"e\": -46}", "seed": "9231563791132258639", "semantic_fingerprint": "sha256:9cc794869f396339a14ebccade402a287f0a22164132ab3ea39587e000cd6f00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000879", "prompt": "What is (-34 + (-741)) / (6 - (-34) + (-3))?", "solution_steps": ["Add: -34 + (-741) = -775", "Subtract: 6 - (-34) = 40", "Add: 40 + (-3) = 37", "Divide: -775 / 37 = -775/37"], "final_answer": "-775/37", "answer_type": "rational", "kind": "expression", "math_text": "(-34 + (-741)) / (6 - (-34) + (-3))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -741, \"c\": 6, \"d\": -34, \"e\": -3}", "seed": "4718967623607450110", "semantic_fingerprint": "sha256:13a8035539a766d2854fc09bb9abc786d166f1597b07e54efc5de88a7b949fb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000880", "prompt": "Evaluate: 41 * ((-65 + (-59)) / (-5 / (-55 / 6)))", "solution_steps": ["Add: -65 + (-59) = -124", "Divide: -55 / 6 = -55/6", "Divide: -5 / (-55/6) = 6/11", "Divide: -124 / (6/11) = -682/3", "Multiply: 41 * (-682/3) = -27962/3"], "final_answer": "-27962/3", "answer_type": "rational", "kind": "expression", "math_text": "41 * ((-65 + (-59)) / (-5 / (-55 / 6)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ n n) (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -65, \"c\": -59, \"d\": -5, \"e\": -55, \"f\": 6}", "seed": "982470423226270150", "semantic_fingerprint": "sha256:d9b854fc8da51db0fbdb2ff0c9ec22a67676c999d77d0fe4cafca074805aba6c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000881", "prompt": "Find x: 5(x + 36) = 10(x - 41) + 690", "solution_steps": ["Expand: 5x + 180 = 10(x - 41) + 690", "Expand: 5x + 180 = 10x - 410 + 690", "Combine constants: 5x + 180 = 10x + 280", "Subtract 10x from both sides: -5x + 180 = 280", "Subtract 180 from both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 36) = 10(x - 41) + 690", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 36, \"c\": 10, \"d\": 41, \"f\": 690, \"x\": -20}", "seed": "9950188237003567799", "semantic_fingerprint": "sha256:9bbb2b3b51c3f03bfa7f51cf4f64db6dfb39ba6a6d5f3327526866c16393ed0c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000882", "prompt": "Solve the equation 8x = -11(x + 8) + 4 for x.", "solution_steps": ["Expand: 8x = -11x - 88 + 4", "Combine constants: 8x = -11x - 84", "Add 11x to both sides: 19x = -84", "Divide both sides by 19: x = -84/19"], "final_answer": "-84/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = -11(x + 8) + 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -11, \"c\": 8, \"d\": 4}", "seed": "7824693196429743688", "semantic_fingerprint": "sha256:194c46440399781acc1a2b4d42fd4312272ae9c9ccbd190635678d2fa6a46435", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000883", "prompt": "Evaluate: (-583 - 652 * (-7)) / (-93)", "solution_steps": ["Multiply: 652 * (-7) = -4564", "Subtract: -583 - (-4564) = 3981", "Divide: 3981 / (-93) = -1327/31"], "final_answer": "-1327/31", "answer_type": "rational", "kind": "expression", "math_text": "(-583 - 652 * (-7)) / (-93)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -583, \"b\": 652, \"c\": -7, \"d\": -93}", "seed": "15001861683847358164", "semantic_fingerprint": "sha256:6e615f011cf180acb9c56540ee126ddb60a76b74c154b39de79d9f3fc4328302", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000884", "prompt": "Evaluate: -22 * (-4 * (-447)) * (-8)", "solution_steps": ["Multiply: -4 * (-447) = 1788", "Multiply: -22 * 1788 = -39336", "Multiply: -39336 * (-8) = 314688"], "final_answer": "314688", "answer_type": "integer", "kind": "expression", "math_text": "-22 * (-4 * (-447)) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -4, \"c\": -447, \"d\": -8}", "seed": "9178255175070448295", "semantic_fingerprint": "sha256:34a13d44c69eec279f26aaf2a387a04d1e8a690d8dbed65a74403c241df50cf8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000885", "prompt": "Compute: -65 + (-36 + (18 - 0) * (0 * 749))", "solution_steps": ["Subtract: 18 - 0 = 18", "Multiply: 0 * 749 = 0", "Multiply: 18 * 0 = 0", "Add: -36 + 0 = -36", "Add: -65 + (-36) = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "expression", "math_text": "-65 + (-36 + (18 - 0) * (0 * 749))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (* (- n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -36, \"c\": 18, \"d\": 0, \"e\": 0, \"f\": 749}", "seed": "12511677207899602664", "semantic_fingerprint": "sha256:c92650bc01f11072695c6f5c95554ac74c34e273c9985655fa674c7700b441d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000886", "prompt": "What is 37 * (28 / (47 + 308) * (-1 * 54))?", "solution_steps": ["Add: 47 + 308 = 355", "Divide: 28 / 355 = 28/355", "Multiply: -1 * 54 = -54", "Multiply: (28/355) * (-54) = -1512/355", "Multiply: 37 * (-1512/355) = -55944/355"], "final_answer": "-55944/355", "answer_type": "rational", "kind": "expression", "math_text": "37 * (28 / (47 + 308) * (-1 * 54))", "variable": null, "family": "expression_5op", "shape": "(* n (* (/ n (+ n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 28, \"c\": 47, \"d\": 308, \"e\": -1, \"f\": 54}", "seed": "12435268850809332883", "semantic_fingerprint": "sha256:940fb0fa0253e833ad1e243cac95003bf3f3dac11a3c24c2d9bd3f73659648f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000887", "prompt": "Calculate: 0 - (9 + 4) / 3", "solution_steps": ["Add: 9 + 4 = 13", "Divide: 13 / 3 = 13/3", "Subtract: 0 - 13/3 = -13/3"], "final_answer": "-13/3", "answer_type": "rational", "kind": "expression", "math_text": "0 - (9 + 4) / 3", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": 4, \"d\": 3}", "seed": "9744863627798673325", "semantic_fingerprint": "sha256:bb0f57b192904b985663b4293da0fd4ba4c08c930d3d6c8fd21483e8f6e4572a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000888", "prompt": "What value of x satisfies 7x = -10(x + 160) - 9?", "solution_steps": ["Expand: 7x = -10x - 1600 - 9", "Combine constants: 7x = -10x - 1609", "Add 10x to both sides: 17x = -1609", "Divide both sides by 17: x = -1609/17"], "final_answer": "-1609/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -10(x + 160) - 9", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -10, \"c\": 160, \"d\": 9}", "seed": "14899098392970302128", "semantic_fingerprint": "sha256:6de03e735bc4c4d21559e3745985aca12211e67059fabcdf5ec574218fcb0019", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000889", "prompt": "Calculate: 73 - (-623) - (-36 * (57 * (-65)) - (-938))", "solution_steps": ["Subtract: 73 - (-623) = 696", "Multiply: 57 * (-65) = -3705", "Multiply: -36 * (-3705) = 133380", "Subtract: 133380 - (-938) = 134318", "Subtract: 696 - 134318 = -133622"], "final_answer": "-133622", "answer_type": "integer", "kind": "expression", "math_text": "73 - (-623) - (-36 * (57 * (-65)) - (-938))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- (* n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -623, \"c\": -36, \"d\": 57, \"e\": -65, \"f\": -938}", "seed": "17816795266540962052", "semantic_fingerprint": "sha256:e8d9d0ec5af6d03bd3275be9fb9301775c57a07080b72dced27a02a2f01c8081", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000890", "prompt": "What value of x satisfies 6(x + 56) = -4(x - 5) + 366?", "solution_steps": ["Expand: 6x + 336 = -4(x - 5) + 366", "Expand: 6x + 336 = -4x + 20 + 366", "Combine constants: 6x + 336 = -4x + 386", "Add 4x to both sides: 10x + 336 = 386", "Subtract 336 from both sides: 10x = 50", "Divide both sides by 10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 56) = -4(x - 5) + 366", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 56, \"c\": -4, \"d\": 5, \"f\": 366, \"x\": 5}", "seed": "2823683356778350122", "semantic_fingerprint": "sha256:be947880b8a03e5443c894ffa84583182de9d06b7abfa7ad29ce78298732a755", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000891", "prompt": "What is -2 + (680 * (781 + 125) + (-91))?", "solution_steps": ["Add: 781 + 125 = 906", "Multiply: 680 * 906 = 616080", "Add: 616080 + (-91) = 615989", "Add: -2 + 615989 = 615987"], "final_answer": "615987", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (680 * (781 + 125) + (-91))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 680, \"c\": 781, \"d\": 125, \"e\": -91}", "seed": "2343524343507707221", "semantic_fingerprint": "sha256:435250b15ef56e8bf76edce543b1606435ea6f4e6c7fc2fb6fde56e00a6e3567", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000892", "prompt": "Find x: 7x - 29 = 4(x - 8)", "solution_steps": ["Expand: 7x - 29 = 4x - 32", "Subtract 4x from both sides: 3x - 29 = -32", "Add 29 to both sides: 3x = -3", "Divide both sides by 3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 29 = 4(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 29, \"c\": 4, \"d\": 8}", "seed": "3937874316491763176", "semantic_fingerprint": "sha256:2807bf1d9511b8b9fea9e9c06eebf051ef02def721e7bca37a0f3d4d327270bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000893", "prompt": "Evaluate: 742 * 474 + 670 * 3", "solution_steps": ["Multiply: 742 * 474 = 351708", "Multiply: 670 * 3 = 2010", "Add: 351708 + 2010 = 353718"], "final_answer": "353718", "answer_type": "integer", "kind": "expression", "math_text": "742 * 474 + 670 * 3", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 742, \"b\": 474, \"c\": 670, \"d\": 3}", "seed": "5047391111461864813", "semantic_fingerprint": "sha256:9a9fb15d673cbe7edf6987e36a4d25eaae5e00c1d27bea346b4fec63dea1ad21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000894", "prompt": "Solve for x: 7x - 18 = 9(x - 6)", "solution_steps": ["Expand: 7x - 18 = 9x - 54", "Subtract 9x from both sides: -2x - 18 = -54", "Add 18 to both sides: -2x = -36", "Divide both sides by -2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 18 = 9(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 6, \"e\": -18, \"x\": 18}", "seed": "5982478921979454859", "semantic_fingerprint": "sha256:cdbb0fe44db3f0b4d70a2bcb89538ad52091815b8c9edd158f91d5fcdf2135e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000895", "prompt": "Evaluate: (-45 - (-476)) * (-7 - (7 + 86))", "solution_steps": ["Subtract: -45 - (-476) = 431", "Add: 7 + 86 = 93", "Subtract: -7 - 93 = -100", "Multiply: 431 * (-100) = -43100"], "final_answer": "-43100", "answer_type": "integer", "kind": "expression", "math_text": "(-45 - (-476)) * (-7 - (7 + 86))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -476, \"c\": -7, \"d\": 7, \"e\": 86}", "seed": "7458548731599830074", "semantic_fingerprint": "sha256:5dad1cd7cb4ebbd38542fde27b12ce531396f7acc754c2ab230810b5838f761a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000896", "prompt": "Calculate: (95 + 1) * (-6) - (-19 - 217)", "solution_steps": ["Add: 95 + 1 = 96", "Multiply: 96 * (-6) = -576", "Subtract: -19 - 217 = -236", "Subtract: -576 - (-236) = -340"], "final_answer": "-340", "answer_type": "integer", "kind": "expression", "math_text": "(95 + 1) * (-6) - (-19 - 217)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 1, \"c\": -6, \"d\": -19, \"e\": 217}", "seed": "5297060835096316959", "semantic_fingerprint": "sha256:badaa21f8d546c5f2fe1645f08b5ada6a72155909264ba9d1a47a1ca045eecd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000897", "prompt": "Calculate: 846 + 638 + 294 * (70 + 6)", "solution_steps": ["Add: 846 + 638 = 1484", "Add: 70 + 6 = 76", "Multiply: 294 * 76 = 22344", "Add: 1484 + 22344 = 23828"], "final_answer": "23828", "answer_type": "integer", "kind": "expression", "math_text": "846 + 638 + 294 * (70 + 6)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 846, \"b\": 638, \"c\": 294, \"d\": 70, \"e\": 6}", "seed": "4111389028615749859", "semantic_fingerprint": "sha256:4b22fd744edca53ea511c562ebf551a93337b6371a7ed0991c39bf1f0792bee3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000898", "prompt": "Evaluate: (-697 - (-31 + (-95 + 4))) * 7", "solution_steps": ["Add: -95 + 4 = -91", "Add: -31 + (-91) = -122", "Subtract: -697 - (-122) = -575", "Multiply: -575 * 7 = -4025"], "final_answer": "-4025", "answer_type": "integer", "kind": "expression", "math_text": "(-697 - (-31 + (-95 + 4))) * 7", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -697, \"b\": -31, \"c\": -95, \"d\": 4, \"e\": 7}", "seed": "1412442968102291982", "semantic_fingerprint": "sha256:5eff52f01e726260bef5b4406977d9c93ff989081955aa2246a18d30cb6dcdcf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000899", "prompt": "Find x: -4(x - 69) - 44 = x + 267", "solution_steps": ["Expand: -4x + 276 - 44 = x + 267", "Combine constants: -4x + 232 = x + 267", "Subtract x from both sides: -5x + 232 = 267", "Subtract 232 from both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 69) - 44 = x + 267", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 69, \"c\": 44, \"e\": 267, \"x\": -7}", "seed": "7025902564118441507", "semantic_fingerprint": "sha256:d789fa688a9239bfb469aba15426b09ef2a75f44ef2ead60629eaa08f98a45a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000900", "prompt": "Calculate: 3 * 3 + (-719 - (-84))", "solution_steps": ["Multiply: 3 * 3 = 9", "Subtract: -719 - (-84) = -635", "Add: 9 + (-635) = -626"], "final_answer": "-626", "answer_type": "integer", "kind": "expression", "math_text": "3 * 3 + (-719 - (-84))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": -719, \"d\": -84}", "seed": "3842277517659015717", "semantic_fingerprint": "sha256:543bc9ae6ae59dec04608f69ff5f0d3ae4bb710611ba8a4a1e5aa2a8b8bdd929", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000901", "prompt": "What value of x satisfies 3x - 181 = 2x - 190?", "solution_steps": ["Subtract 2x from both sides: x - 181 = -190", "Add 181 to both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 181 = 2x - 190", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 181, \"c\": 2, \"e\": -190, \"x\": -9}", "seed": "17884758968593680017", "semantic_fingerprint": "sha256:d4723baaf36b1d768356a06a7f6d524858e8b3195a702a3a121bd283de06113f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000902", "prompt": "Solve the equation 7x = -8(x + 5) - 245 for x.", "solution_steps": ["Expand: 7x = -8x - 40 - 245", "Combine constants: 7x = -8x - 285", "Add 8x to both sides: 15x = -285", "Divide both sides by 15: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -8(x + 5) - 245", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 5, \"e\": -245, \"x\": -19}", "seed": "4492033923431533158", "semantic_fingerprint": "sha256:2262bb1b93edc6b2a7c4d0013618291339d4617d4e2fc67f39a810a8d3b89788", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000903", "prompt": "What value of x satisfies 4(x + 84) - 78 = x + 228?", "solution_steps": ["Expand: 4x + 336 - 78 = x + 228", "Combine constants: 4x + 258 = x + 228", "Subtract x from both sides: 3x + 258 = 228", "Subtract 258 from both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 84) - 78 = x + 228", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 84, \"c\": 78, \"e\": 228, \"x\": -10}", "seed": "8623812349003442521", "semantic_fingerprint": "sha256:a8b495fa63aded7b5c3a804ef9b18ae49c78242ee8f0b4c508374f10726ecd37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000904", "prompt": "Solve for x: 4(x + 8) + 4 = x + 87", "solution_steps": ["Expand: 4x + 32 + 4 = x + 87", "Combine constants: 4x + 36 = x + 87", "Subtract x from both sides: 3x + 36 = 87", "Subtract 36 from both sides: 3x = 51", "Divide both sides by 3: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 8) + 4 = x + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 4, \"e\": 87, \"x\": 17}", "seed": "16200897204655148856", "semantic_fingerprint": "sha256:2d58427975b3c39a9be68ffd809bc02a715bdbe233c1c02ee0514674bb14bcff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000905", "prompt": "Find x: 2(x + 236) = 8(x - 69) + 21", "solution_steps": ["Expand: 2x + 472 = 8(x - 69) + 21", "Expand: 2x + 472 = 8x - 552 + 21", "Combine constants: 2x + 472 = 8x - 531", "Subtract 8x from both sides: -6x + 472 = -531", "Subtract 472 from both sides: -6x = -1003", "Divide both sides by -6: x = 1003/6"], "final_answer": "1003/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 236) = 8(x - 69) + 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 236, \"c\": 8, \"d\": 69, \"e\": 21}", "seed": "5791203220287221915", "semantic_fingerprint": "sha256:3a480f87ea8ddf874b10c9e0f55ba2b8e337a3dce7dae10a4ed466a904cfce0c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000906", "prompt": "Compute: -6 + (5 * (-2 + (26 + 6)) + (-417))", "solution_steps": ["Add: 26 + 6 = 32", "Add: -2 + 32 = 30", "Multiply: 5 * 30 = 150", "Add: 150 + (-417) = -267", "Add: -6 + (-267) = -273"], "final_answer": "-273", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (5 * (-2 + (26 + 6)) + (-417))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* n (+ n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": -2, \"d\": 26, \"e\": 6, \"f\": -417}", "seed": "9106369428755888595", "semantic_fingerprint": "sha256:6cf449c4e7b49ee1082cff5543ca1a082a206319629d149c36310f3ee7fad2be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000907", "prompt": "Compute: 0 + 12 - (2 - (-32 - (-1)))", "solution_steps": ["Add: 0 + 12 = 12", "Subtract: -32 - (-1) = -31", "Subtract: 2 - (-31) = 33", "Subtract: 12 - 33 = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "expression", "math_text": "0 + 12 - (2 - (-32 - (-1)))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 12, \"c\": 2, \"d\": -32, \"e\": -1}", "seed": "9327181051502584073", "semantic_fingerprint": "sha256:81a3afc2a6e680a8afd7b2e4fe1e8c896e15a3e8153bf4346d7595c98bd1acb9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000908", "prompt": "What value of x satisfies -6(x - 83) - 232 = x + 140?", "solution_steps": ["Expand: -6x + 498 - 232 = x + 140", "Combine constants: -6x + 266 = x + 140", "Subtract x from both sides: -7x + 266 = 140", "Subtract 266 from both sides: -7x = -126", "Divide both sides by -7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 83) - 232 = x + 140", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 83, \"c\": 232, \"e\": 140, \"x\": 18}", "seed": "1633468708578369531", "semantic_fingerprint": "sha256:cb3cc33437619b267e3fc0e9eafcd1a868643697a521acd125ca9fa70cace848", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000909", "prompt": "What is -15 * (6 + 146) / (-12 / (-34)) / (-977)?", "solution_steps": ["Add: 6 + 146 = 152", "Multiply: -15 * 152 = -2280", "Divide: -12 / (-34) = 6/17", "Divide: -2280 / (6/17) = -6460", "Divide: -6460 / (-977) = 6460/977"], "final_answer": "6460/977", "answer_type": "rational", "kind": "expression", "math_text": "-15 * (6 + 146) / (-12 / (-34)) / (-977)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n (+ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 6, \"c\": 146, \"d\": -12, \"e\": -34, \"f\": -977}", "seed": "8429589948812073634", "semantic_fingerprint": "sha256:be255911902167435742aca0941c9b1c5ca7e94f3b8dca62be62b5fe4a178368", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000910", "prompt": "Evaluate: 9 - (-848 + 47) / 17", "solution_steps": ["Add: -848 + 47 = -801", "Divide: -801 / 17 = -801/17", "Subtract: 9 - (-801/17) = 954/17"], "final_answer": "954/17", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-848 + 47) / 17", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -848, \"c\": 47, \"d\": 17}", "seed": "1046421501858955535", "semantic_fingerprint": "sha256:d8794d3e5a99368b9120997d1d89b5ee19e25339346fdaf4b4eec79c68bc043e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000911", "prompt": "What value of x satisfies 10(x + 94) + 20 = x + 834?", "solution_steps": ["Expand: 10x + 940 + 20 = x + 834", "Combine constants: 10x + 960 = x + 834", "Subtract x from both sides: 9x + 960 = 834", "Subtract 960 from both sides: 9x = -126", "Divide both sides by 9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 94) + 20 = x + 834", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 94, \"c\": 20, \"e\": 834, \"x\": -14}", "seed": "12790558800478787566", "semantic_fingerprint": "sha256:47775514405ad3f03beb575f1ad912ce759ad07cbc2fef5d52285d3df0d73ad2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000912", "prompt": "Solve the equation 8(x + 17) + 3 = x + 62 for x.", "solution_steps": ["Expand: 8x + 136 + 3 = x + 62", "Combine constants: 8x + 139 = x + 62", "Subtract x from both sides: 7x + 139 = 62", "Subtract 139 from both sides: 7x = -77", "Divide both sides by 7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 17) + 3 = x + 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 17, \"c\": 3, \"e\": 62, \"x\": -11}", "seed": "10188720204118844073", "semantic_fingerprint": "sha256:c6e253dc394c85a4d397d98b59c0743eae0e3e9090f5da79d1af4bf3fefad772", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000913", "prompt": "Evaluate: (-75 - (-2) - (-51)) * (-88)", "solution_steps": ["Subtract: -75 - (-2) = -73", "Subtract: -73 - (-51) = -22", "Multiply: -22 * (-88) = 1936"], "final_answer": "1936", "answer_type": "integer", "kind": "expression", "math_text": "(-75 - (-2) - (-51)) * (-88)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -2, \"c\": -51, \"d\": -88}", "seed": "12848548822729637302", "semantic_fingerprint": "sha256:f22b9f99c26777a4f1125bb08f0f50a30f8a76c4d6fc75fefd99389fc83c08ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000914", "prompt": "Solve for x: 10x - 66 = 11(x - 5)", "solution_steps": ["Expand: 10x - 66 = 11x - 55", "Subtract 11x from both sides: -x - 66 = -55", "Add 66 to both sides: -x = 11", "Divide both sides by -1: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 66 = 11(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 11, \"c\": 5, \"e\": -66, \"x\": -11}", "seed": "115105148688210645", "semantic_fingerprint": "sha256:d2321a57168b45d8a58b1a7591e7b1659bf76d9849fa3a3bd55c0a76cbbe178d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000915", "prompt": "Compute: 9 / (9 - 13 + (-95 + (-789)))", "solution_steps": ["Subtract: 9 - 13 = -4", "Add: -95 + (-789) = -884", "Add: -4 + (-884) = -888", "Divide: 9 / (-888) = -3/296"], "final_answer": "-3/296", "answer_type": "rational", "kind": "expression", "math_text": "9 / (9 - 13 + (-95 + (-789)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 13, \"d\": -95, \"e\": -789}", "seed": "9799047999625833069", "semantic_fingerprint": "sha256:261a5a0746742100720ec067f13ff668b9c394c6be0ed7afe2bba88a519c9345", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000916", "prompt": "Compute: -900 * (-23) + (0 - (-8 - 61) / 32)", "solution_steps": ["Multiply: -900 * (-23) = 20700", "Subtract: -8 - 61 = -69", "Divide: -69 / 32 = -69/32", "Subtract: 0 - (-69/32) = 69/32", "Add: 20700 + 69/32 = 662469/32"], "final_answer": "662469/32", "answer_type": "rational", "kind": "expression", "math_text": "-900 * (-23) + (0 - (-8 - 61) / 32)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- n (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -900, \"b\": -23, \"c\": 0, \"d\": -8, \"e\": 61, \"f\": 32}", "seed": "6319054451783343290", "semantic_fingerprint": "sha256:5ffa5e93c3352cdb49fe82cbc088fe9d1516068edd7d4d0b0988f0ae4dc2eda5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000917", "prompt": "What value of x satisfies -3(x - 48) - 83 = x + 1?", "solution_steps": ["Expand: -3x + 144 - 83 = x + 1", "Combine constants: -3x + 61 = x + 1", "Subtract x from both sides: -4x + 61 = 1", "Subtract 61 from both sides: -4x = -60", "Divide both sides by -4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 48) - 83 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 48, \"c\": 83, \"e\": 1, \"x\": 15}", "seed": "15766703981192518279", "semantic_fingerprint": "sha256:cd2cf774d97b27caea8b47b4b18b87286e42350046b52522675d1e0216253758", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000918", "prompt": "What value of x satisfies -7(x + 34) = 4(x - 4) + 600?", "solution_steps": ["Expand: -7x - 238 = 4(x - 4) + 600", "Expand: -7x - 238 = 4x - 16 + 600", "Combine constants: -7x - 238 = 4x + 584", "Subtract 4x from both sides: -11x - 238 = 584", "Add 238 to both sides: -11x = 822", "Divide both sides by -11: x = -822/11"], "final_answer": "-822/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 34) = 4(x - 4) + 600", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 34, \"c\": 4, \"d\": 4, \"e\": 600}", "seed": "18050100025037192628", "semantic_fingerprint": "sha256:3b03115b44e39f04cc73616b822698f706a27f2d3c9a5e07ae54d20f3beafbdb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000919", "prompt": "Solve for x: 9(x + 93) - 125 = x + 211", "solution_steps": ["Expand: 9x + 837 - 125 = x + 211", "Combine constants: 9x + 712 = x + 211", "Subtract x from both sides: 8x + 712 = 211", "Subtract 712 from both sides: 8x = -501", "Divide both sides by 8: x = -501/8"], "final_answer": "-501/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 93) - 125 = x + 211", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 93, \"c\": 125, \"d\": 211}", "seed": "5583972226807443925", "semantic_fingerprint": "sha256:edf5b5fe00665b868626d1274fe0ce79a6bb7fc8ad650a46facb8df0a98dc1b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000920", "prompt": "Calculate: -4 * ((791 / (-9) - (-80)) * (4 * 864))", "solution_steps": ["Divide: 791 / (-9) = -791/9", "Subtract: -791/9 - (-80) = -71/9", "Multiply: 4 * 864 = 3456", "Multiply: (-71/9) * 3456 = -27264", "Multiply: -4 * (-27264) = 109056"], "final_answer": "109056", "answer_type": "integer", "kind": "expression", "math_text": "-4 * ((791 / (-9) - (-80)) * (4 * 864))", "variable": null, "family": "expression_5op", "shape": "(* n (* (- (/ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 791, \"c\": -9, \"d\": -80, \"e\": 4, \"f\": 864}", "seed": "8514608454855917309", "semantic_fingerprint": "sha256:66648330d9fb28517e395d7baea2a478836720c4137a3d2b59d5d200b56652c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000921", "prompt": "What is -80 / (16 * (2 + 4))?", "solution_steps": ["Add: 2 + 4 = 6", "Multiply: 16 * 6 = 96", "Divide: -80 / 96 = -5/6"], "final_answer": "-5/6", "answer_type": "rational", "kind": "expression", "math_text": "-80 / (16 * (2 + 4))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 16, \"c\": 2, \"d\": 4}", "seed": "15126475519943401388", "semantic_fingerprint": "sha256:2d11620d698cb5c777e097ec7e98d15de5bf90e3cbc6c68c8920bc18c1ec82b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000922", "prompt": "Find x: 2x - 8 = 5x - 8", "solution_steps": ["Subtract 5x from both sides: -3x - 8 = -8", "Add 8 to both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 8 = 5x - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 5, \"e\": -8, \"x\": 0}", "seed": "16625174057436140868", "semantic_fingerprint": "sha256:f870fae30cbe1750485ed844e47a0c5a88b82bdc7b05a6cf6a99c2789d97af10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000923", "prompt": "Find x: 2x - 9 = 10x - 9", "solution_steps": ["Subtract 10x from both sides: -8x - 9 = -9", "Add 9 to both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 9 = 10x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 10, \"e\": -9, \"x\": 0}", "seed": "16784274944518566636", "semantic_fingerprint": "sha256:3479225a76d5618f4bf1afaa365405877ade058dd5c5fafc26035aa985612b9a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000924", "prompt": "What is (61 * (-11) / 21 + 14) / 9?", "solution_steps": ["Multiply: 61 * (-11) = -671", "Divide: -671 / 21 = -671/21", "Add: -671/21 + 14 = -377/21", "Divide: (-377/21) / 9 = -377/189"], "final_answer": "-377/189", "answer_type": "rational", "kind": "expression", "math_text": "(61 * (-11) / 21 + 14) / 9", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -11, \"c\": 21, \"d\": 14, \"e\": 9}", "seed": "1774477467101151699", "semantic_fingerprint": "sha256:df1d447bac1c2411cf0d780ed7027de8b6bb366d46b4f5426d1885fae75c3e64", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000925", "prompt": "Find x: 3(x + 18) - 5 = x + 3", "solution_steps": ["Expand: 3x + 54 - 5 = x + 3", "Combine constants: 3x + 49 = x + 3", "Subtract x from both sides: 2x + 49 = 3", "Subtract 49 from both sides: 2x = -46", "Divide both sides by 2: x = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 18) - 5 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 18, \"c\": 5, \"d\": 3}", "seed": "4040165766972240780", "semantic_fingerprint": "sha256:dc653f65813d6c0155026eee73c2fd088c5b01c33c03a2c68b1a17b80b74f67a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000926", "prompt": "Evaluate: -65 * 62 + 7 * (-4)", "solution_steps": ["Multiply: -65 * 62 = -4030", "Multiply: 7 * (-4) = -28", "Add: -4030 + (-28) = -4058"], "final_answer": "-4058", "answer_type": "integer", "kind": "expression", "math_text": "-65 * 62 + 7 * (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 62, \"c\": 7, \"d\": -4}", "seed": "8086214424460984123", "semantic_fingerprint": "sha256:db3e960618b58354b57ae7dce71e25a9cf4ea452abaf94ac79162c152d253707", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000927", "prompt": "Solve for x: -11(x - 71) - 98 = x + 575", "solution_steps": ["Expand: -11x + 781 - 98 = x + 575", "Combine constants: -11x + 683 = x + 575", "Subtract x from both sides: -12x + 683 = 575", "Subtract 683 from both sides: -12x = -108", "Divide both sides by -12: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 71) - 98 = x + 575", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 71, \"c\": 98, \"e\": 575, \"x\": 9}", "seed": "930225499054269918", "semantic_fingerprint": "sha256:eb03164348eb043b4107159fd0bf70516add0517c34e3119d0c7c730b6b0a958", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000928", "prompt": "Calculate: (-53 * (-6) + (-50) * 3) / 96", "solution_steps": ["Multiply: -53 * (-6) = 318", "Multiply: -50 * 3 = -150", "Add: 318 + (-150) = 168", "Divide: 168 / 96 = 7/4"], "final_answer": "7/4", "answer_type": "rational", "kind": "expression", "math_text": "(-53 * (-6) + (-50) * 3) / 96", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -6, \"c\": -50, \"d\": 3, \"e\": 96}", "seed": "5207983068932940602", "semantic_fingerprint": "sha256:797f28a3723578f0d1baf7a7c6faf763eb5397861e02e245d54fb39ebce84d49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000929", "prompt": "Solve the equation 8x - 79 = 10(x - 65) for x.", "solution_steps": ["Expand: 8x - 79 = 10x - 650", "Subtract 10x from both sides: -2x - 79 = -650", "Add 79 to both sides: -2x = -571", "Divide both sides by -2: x = 571/2"], "final_answer": "571/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 79 = 10(x - 65)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 79, \"c\": 10, \"d\": 65}", "seed": "2875124945939048271", "semantic_fingerprint": "sha256:755abf86b648ba6f016ed0de251a80b21311ec76341abcf31e9bae4a6669f509", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000930", "prompt": "Solve for x: 9(x - 41) + 438 = 10(x + 5)", "solution_steps": ["Expand: 9x - 369 + 438 = 10(x + 5)", "Expand: 9x - 369 + 438 = 10x + 50", "Combine constants: 9x + 69 = 10x + 50", "Subtract 10x from both sides: -x + 69 = 50", "Subtract 69 from both sides: -x = -19", "Divide both sides by -1: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 41) + 438 = 10(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 41, \"c\": 10, \"d\": 5, \"f\": 438, \"x\": 19}", "seed": "16204170036250640609", "semantic_fingerprint": "sha256:6121e20ff62df0546998ed854cb82091744cec5eb9a33227840885221e977c66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000931", "prompt": "Evaluate: -26 / (-51 * (0 + (-46)) / (-3))", "solution_steps": ["Add: 0 + (-46) = -46", "Multiply: -51 * (-46) = 2346", "Divide: 2346 / (-3) = -782", "Divide: -26 / (-782) = 13/391"], "final_answer": "13/391", "answer_type": "rational", "kind": "expression", "math_text": "-26 / (-51 * (0 + (-46)) / (-3))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -51, \"c\": 0, \"d\": -46, \"e\": -3}", "seed": "7445098259952119414", "semantic_fingerprint": "sha256:726f3125e198dccc271e56bd425eef95fdcddae6c9c847c1c3f1673f462a83fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000932", "prompt": "Compute: 59 - (-181) / (-77) - 79", "solution_steps": ["Divide: -181 / (-77) = 181/77", "Subtract: 59 - 181/77 = 4362/77", "Subtract: 4362/77 - 79 = -1721/77"], "final_answer": "-1721/77", "answer_type": "rational", "kind": "expression", "math_text": "59 - (-181) / (-77) - 79", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -181, \"c\": -77, \"d\": 79}", "seed": "13457313049489914481", "semantic_fingerprint": "sha256:17931bf917cb3e4a7f79d45d8c86effbb386ed9ba8a534e32d4732513b6bc221", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000933", "prompt": "Solve for x: -2(x - 9) - 8 = x + 55", "solution_steps": ["Expand: -2x + 18 - 8 = x + 55", "Combine constants: -2x + 10 = x + 55", "Subtract x from both sides: -3x + 10 = 55", "Subtract 10 from both sides: -3x = 45", "Divide both sides by -3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 9) - 8 = x + 55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 8, \"e\": 55, \"x\": -15}", "seed": "45394175337979284", "semantic_fingerprint": "sha256:55a057123ab83d2387ad88ede6a477faaf962560dd2e7903e267be1cd0cd3aa9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000934", "prompt": "What is 7 - (134 + (-81 + 5)) / (-41) - (-68)?", "solution_steps": ["Add: -81 + 5 = -76", "Add: 134 + (-76) = 58", "Divide: 58 / (-41) = -58/41", "Subtract: 7 - (-58/41) = 345/41", "Subtract: 345/41 - (-68) = 3133/41"], "final_answer": "3133/41", "answer_type": "rational", "kind": "expression", "math_text": "7 - (134 + (-81 + 5)) / (-41) - (-68)", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ (+ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 134, \"c\": -81, \"d\": 5, \"e\": -41, \"f\": -68}", "seed": "2253119927450421029", "semantic_fingerprint": "sha256:613f87d251cd621ba8be962ec3f3c3fd28966d01295d6255c873e2980b441f6c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000935", "prompt": "Evaluate: (642 - (1 + 132)) * 94", "solution_steps": ["Add: 1 + 132 = 133", "Subtract: 642 - 133 = 509", "Multiply: 509 * 94 = 47846"], "final_answer": "47846", "answer_type": "integer", "kind": "expression", "math_text": "(642 - (1 + 132)) * 94", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 642, \"b\": 1, \"c\": 132, \"d\": 94}", "seed": "11035688615446338902", "semantic_fingerprint": "sha256:44a6226140cba19d763a5c49a070b1819d27736c0017bcfcd6583bc357d17448", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000936", "prompt": "What value of x satisfies 2x - 857 = -6(x - 9)?", "solution_steps": ["Expand: 2x - 857 = -6x + 54", "Add 6x to both sides: 8x - 857 = 54", "Add 857 to both sides: 8x = 911", "Divide both sides by 8: x = 911/8"], "final_answer": "911/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 857 = -6(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 857, \"c\": -6, \"d\": 9}", "seed": "3188884987408718289", "semantic_fingerprint": "sha256:faea3ff38fcfd64230b3cfc5b536ceedf15ddfa880727e4392222d5cdb24985f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000937", "prompt": "What value of x satisfies 9(x + 8) + 2 = x + 98?", "solution_steps": ["Expand: 9x + 72 + 2 = x + 98", "Combine constants: 9x + 74 = x + 98", "Subtract x from both sides: 8x + 74 = 98", "Subtract 74 from both sides: 8x = 24", "Divide both sides by 8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 8) + 2 = x + 98", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 2, \"e\": 98, \"x\": 3}", "seed": "14801201756085164420", "semantic_fingerprint": "sha256:0557ef2cfba7c9e0fe50cdb22b197dd536e157e308fedd31d34219eb8b5856e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000938", "prompt": "What value of x satisfies 12(x + 39) + 4 = x + 571?", "solution_steps": ["Expand: 12x + 468 + 4 = x + 571", "Combine constants: 12x + 472 = x + 571", "Subtract x from both sides: 11x + 472 = 571", "Subtract 472 from both sides: 11x = 99", "Divide both sides by 11: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 39) + 4 = x + 571", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 39, \"c\": 4, \"e\": 571, \"x\": 9}", "seed": "6850210489298696583", "semantic_fingerprint": "sha256:2283597ff65da42d0f017973c6f2c7e89f0d0896f2a21220250d0c9368570844", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000939", "prompt": "Evaluate: -87 - (269 + (-466)) * 13 - 4", "solution_steps": ["Add: 269 + (-466) = -197", "Multiply: -197 * 13 = -2561", "Subtract: -87 - (-2561) = 2474", "Subtract: 2474 - 4 = 2470"], "final_answer": "2470", "answer_type": "integer", "kind": "expression", "math_text": "-87 - (269 + (-466)) * 13 - 4", "variable": null, "family": "expression_4op", "shape": "(- (- n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 269, \"c\": -466, \"d\": 13, \"e\": 4}", "seed": "11354360277060542089", "semantic_fingerprint": "sha256:1f28d48e6cb7f2bd982383191aefd48f6412c5890b4fc3c5a52937e6d0063c91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000940", "prompt": "Calculate: -92 - 9 / (-99 / 68 * (-282))", "solution_steps": ["Divide: -99 / 68 = -99/68", "Multiply: (-99/68) * (-282) = 13959/34", "Divide: 9 / (13959/34) = 34/1551", "Subtract: -92 - 34/1551 = -142726/1551"], "final_answer": "-142726/1551", "answer_type": "rational", "kind": "expression", "math_text": "-92 - 9 / (-99 / 68 * (-282))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 9, \"c\": -99, \"d\": 68, \"e\": -282}", "seed": "796370661619181494", "semantic_fingerprint": "sha256:7d1726e7cfd411158de1ac023f0e7c16f8cb8797ad1cf1da354acb3328753ece", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000941", "prompt": "What value of x satisfies -10x = -6(x + 57) + 326?", "solution_steps": ["Expand: -10x = -6x - 342 + 326", "Combine constants: -10x = -6x - 16", "Add 6x to both sides: -4x = -16", "Divide both sides by -4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = -6(x + 57) + 326", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -6, \"c\": 57, \"e\": 326, \"x\": 4}", "seed": "2676141297007204832", "semantic_fingerprint": "sha256:6f34f5426bc8dc16f24e626f493440bfb05816a2c07a8c22574caf8526f3af1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000942", "prompt": "What value of x satisfies -9x = 8(x + 79) + 673?", "solution_steps": ["Expand: -9x = 8x + 632 + 673", "Combine constants: -9x = 8x + 1305", "Subtract 8x from both sides: -17x = 1305", "Divide both sides by -17: x = -1305/17"], "final_answer": "-1305/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = 8(x + 79) + 673", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": 79, \"d\": 673}", "seed": "5616510460135647102", "semantic_fingerprint": "sha256:fc3f7a3ffe530f85557e6bbff16344a7cbac582b46ce47dd8580a1b52e72555f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000943", "prompt": "Calculate: -13 * 751 + (6 - (-3)) - 4", "solution_steps": ["Multiply: -13 * 751 = -9763", "Subtract: 6 - (-3) = 9", "Add: -9763 + 9 = -9754", "Subtract: -9754 - 4 = -9758"], "final_answer": "-9758", "answer_type": "integer", "kind": "expression", "math_text": "-13 * 751 + (6 - (-3)) - 4", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 751, \"c\": 6, \"d\": -3, \"e\": 4}", "seed": "4267604428290628189", "semantic_fingerprint": "sha256:65be28288719b7ee032d773c761640e5c06e9903e08c435f6d81b9a8e7adb263", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000944", "prompt": "Calculate: (66 - (-2 + 1)) * 39", "solution_steps": ["Add: -2 + 1 = -1", "Subtract: 66 - (-1) = 67", "Multiply: 67 * 39 = 2613"], "final_answer": "2613", "answer_type": "integer", "kind": "expression", "math_text": "(66 - (-2 + 1)) * 39", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -2, \"c\": 1, \"d\": 39}", "seed": "15653978288164170347", "semantic_fingerprint": "sha256:aafa11737f151c11e18ef7a0c03545c1abcbf5042c71315f259636863861963c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000945", "prompt": "Solve the equation 6x = 4(x + 21) - 104 for x.", "solution_steps": ["Expand: 6x = 4x + 84 - 104", "Combine constants: 6x = 4x - 20", "Subtract 4x from both sides: 2x = -20", "Divide both sides by 2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 4(x + 21) - 104", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 21, \"e\": -104, \"x\": -10}", "seed": "11571190801045984532", "semantic_fingerprint": "sha256:3fb48bd36321cc500811ad72f02422bddbfea2817805e244bc17d160aef7b23e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000946", "prompt": "Solve for x: 5(x - 149) + 1 = -2(x + 801)", "solution_steps": ["Expand: 5x - 745 + 1 = -2(x + 801)", "Expand: 5x - 745 + 1 = -2x - 1602", "Combine constants: 5x - 744 = -2x - 1602", "Add 2x to both sides: 7x - 744 = -1602", "Add 744 to both sides: 7x = -858", "Divide both sides by 7: x = -858/7"], "final_answer": "-858/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 149) + 1 = -2(x + 801)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 149, \"c\": 1, \"d\": -2, \"e\": 801}", "seed": "10769731423835324965", "semantic_fingerprint": "sha256:4862debffa737ce0f284970e97f20666cf0c9fce58bc0b451e55b93bffbc82f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000947", "prompt": "Evaluate: 7 * (-8) + 14 + 553", "solution_steps": ["Multiply: 7 * (-8) = -56", "Add: -56 + 14 = -42", "Add: -42 + 553 = 511"], "final_answer": "511", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-8) + 14 + 553", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 14, \"d\": 553}", "seed": "13342414283530642683", "semantic_fingerprint": "sha256:ba64519e487f7c516185d57f34d36d18ddd79c39eaffbaf1f2249269df0c675c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000948", "prompt": "Find x: 3(x + 298) = -10(x - 7) + 19", "solution_steps": ["Expand: 3x + 894 = -10(x - 7) + 19", "Expand: 3x + 894 = -10x + 70 + 19", "Combine constants: 3x + 894 = -10x + 89", "Add 10x to both sides: 13x + 894 = 89", "Subtract 894 from both sides: 13x = -805", "Divide both sides by 13: x = -805/13"], "final_answer": "-805/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 298) = -10(x - 7) + 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 298, \"c\": -10, \"d\": 7, \"e\": 19}", "seed": "12410407384747196183", "semantic_fingerprint": "sha256:041ed527735a0ac3741e3c3cc9b5da90cb0b25b0fa3d1b9a6fbda384150627c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000949", "prompt": "What is 9 / 29 / (-97 * 9) + 86?", "solution_steps": ["Divide: 9 / 29 = 9/29", "Multiply: -97 * 9 = -873", "Divide: (9/29) / (-873) = -1/2813", "Add: -1/2813 + 86 = 241917/2813"], "final_answer": "241917/2813", "answer_type": "rational", "kind": "expression", "math_text": "9 / 29 / (-97 * 9) + 86", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 29, \"c\": -97, \"d\": 9, \"e\": 86}", "seed": "12907331540636984607", "semantic_fingerprint": "sha256:14bad29940ce81d68643fe12bec008c13f2dfdfbeafcfc1ad057699a4527e1bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000950", "prompt": "What is 17 / 2 - (463 - 8 + (-43)) + 5?", "solution_steps": ["Divide: 17 / 2 = 17/2", "Subtract: 463 - 8 = 455", "Add: 455 + (-43) = 412", "Subtract: 17/2 - 412 = -807/2", "Add: -807/2 + 5 = -797/2"], "final_answer": "-797/2", "answer_type": "rational", "kind": "expression", "math_text": "17 / 2 - (463 - 8 + (-43)) + 5", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 2, \"c\": 463, \"d\": 8, \"e\": -43, \"f\": 5}", "seed": "6543481298661462027", "semantic_fingerprint": "sha256:8707b5f3a38a3cc0513af617a93985141192a4684d43acd21f2661b9964ba538", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000951", "prompt": "Solve the equation -8(x - 18) - 95 = x + 1 for x.", "solution_steps": ["Expand: -8x + 144 - 95 = x + 1", "Combine constants: -8x + 49 = x + 1", "Subtract x from both sides: -9x + 49 = 1", "Subtract 49 from both sides: -9x = -48", "Divide both sides by -9: x = 16/3"], "final_answer": "16/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 18) - 95 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 18, \"c\": 95, \"d\": 1}", "seed": "13504270789160794017", "semantic_fingerprint": "sha256:32f30b5572c33bafe270b8c4167dcd8402cc4b65d667d465c00b9d1c6860bf62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000952", "prompt": "Solve the equation 8(x + 71) + 43 = x + 485 for x.", "solution_steps": ["Expand: 8x + 568 + 43 = x + 485", "Combine constants: 8x + 611 = x + 485", "Subtract x from both sides: 7x + 611 = 485", "Subtract 611 from both sides: 7x = -126", "Divide both sides by 7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 71) + 43 = x + 485", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 71, \"c\": 43, \"e\": 485, \"x\": -18}", "seed": "9150759214970270634", "semantic_fingerprint": "sha256:cb502b421f80db4b3d9c9e5d0946dba4a33eefece3bb6f9a1d567570f0dec9b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000953", "prompt": "Solve the equation 5x = 8(x + 28) + 726 for x.", "solution_steps": ["Expand: 5x = 8x + 224 + 726", "Combine constants: 5x = 8x + 950", "Subtract 8x from both sides: -3x = 950", "Divide both sides by -3: x = -950/3"], "final_answer": "-950/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 8(x + 28) + 726", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 28, \"d\": 726}", "seed": "2575354233583463896", "semantic_fingerprint": "sha256:7da301a11da29e451f2fb16171357cce61debf78b6a31f281ee009169fe81e56", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000954", "prompt": "What value of x satisfies 12(x - 677) + 85 = -6(x + 303)?", "solution_steps": ["Expand: 12x - 8124 + 85 = -6(x + 303)", "Expand: 12x - 8124 + 85 = -6x - 1818", "Combine constants: 12x - 8039 = -6x - 1818", "Add 6x to both sides: 18x - 8039 = -1818", "Add 8039 to both sides: 18x = 6221", "Divide both sides by 18: x = 6221/18"], "final_answer": "6221/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 677) + 85 = -6(x + 303)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 677, \"c\": 85, \"d\": -6, \"e\": 303}", "seed": "15111524694664479633", "semantic_fingerprint": "sha256:976be41edc7b9b2be3336e05f60b2f4485f809cea325236cac54810e9ac06cca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000955", "prompt": "Calculate: -36 / (-8) * (28 / (-95))", "solution_steps": ["Divide: -36 / (-8) = 9/2", "Divide: 28 / (-95) = -28/95", "Multiply: (9/2) * (-28/95) = -126/95"], "final_answer": "-126/95", "answer_type": "rational", "kind": "expression", "math_text": "-36 / (-8) * (28 / (-95))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -8, \"c\": 28, \"d\": -95}", "seed": "10899131931284874113", "semantic_fingerprint": "sha256:8d5b9e5832ba39790233f0428d6259564b9e634a8ca78b1cff9d94beaca213fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000956", "prompt": "Find x: 3x = 8(x + 1) + 27", "solution_steps": ["Expand: 3x = 8x + 8 + 27", "Combine constants: 3x = 8x + 35", "Subtract 8x from both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 8(x + 1) + 27", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 1, \"e\": 27, \"x\": -7}", "seed": "4647596669530569068", "semantic_fingerprint": "sha256:09e99967bc6d7907ff57876e846943db3b8b8e3554c65f3198fd516a51a2b1a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000957", "prompt": "Evaluate: 6 + 540 + (1 - (-52) + (-95 + (-6)))", "solution_steps": ["Add: 6 + 540 = 546", "Subtract: 1 - (-52) = 53", "Add: -95 + (-6) = -101", "Add: 53 + (-101) = -48", "Add: 546 + (-48) = 498"], "final_answer": "498", "answer_type": "integer", "kind": "expression", "math_text": "6 + 540 + (1 - (-52) + (-95 + (-6)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 540, \"c\": 1, \"d\": -52, \"e\": -95, \"f\": -6}", "seed": "16947069774710654101", "semantic_fingerprint": "sha256:e8503b504c6e0bb7b46fc992ede16fd9c54fe1aa0b2d9c4386d9148f06f19d96", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000958", "prompt": "Solve for x: 9(x + 7) - 1 = x + 78", "solution_steps": ["Expand: 9x + 63 - 1 = x + 78", "Combine constants: 9x + 62 = x + 78", "Subtract x from both sides: 8x + 62 = 78", "Subtract 62 from both sides: 8x = 16", "Divide both sides by 8: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 7) - 1 = x + 78", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 1, \"e\": 78, \"x\": 2}", "seed": "4304268739668028015", "semantic_fingerprint": "sha256:a6c9d3b2f70a4bd20dac2dc519e9e31c9d65db5de9c6f0d09feb3eb2b153ec15", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000959", "prompt": "Find x: -2(x + 86) + 9 = x + 100", "solution_steps": ["Expand: -2x - 172 + 9 = x + 100", "Combine constants: -2x - 163 = x + 100", "Subtract x from both sides: -3x - 163 = 100", "Add 163 to both sides: -3x = 263", "Divide both sides by -3: x = -263/3"], "final_answer": "-263/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 86) + 9 = x + 100", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 86, \"c\": 9, \"d\": 100}", "seed": "1128309094076333472", "semantic_fingerprint": "sha256:5feac897842b470b64d729dbf9d0112ab5bf5bd0ffb472d7e6d2a7a55276f7b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000960", "prompt": "What value of x satisfies 6x - 67 = 3x - 28?", "solution_steps": ["Subtract 3x from both sides: 3x - 67 = -28", "Add 67 to both sides: 3x = 39", "Divide both sides by 3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 67 = 3x - 28", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 67, \"c\": 3, \"e\": -28, \"x\": 13}", "seed": "13864655456169312533", "semantic_fingerprint": "sha256:be6760f3e3fadf7fd25e9a347bcd32b0f652750c8d4992fcbc0beaffae514f20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000961", "prompt": "Find x: 8x = 12(x + 67) - 728", "solution_steps": ["Expand: 8x = 12x + 804 - 728", "Combine constants: 8x = 12x + 76", "Subtract 12x from both sides: -4x = 76", "Divide both sides by -4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 12(x + 67) - 728", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 67, \"e\": -728, \"x\": -19}", "seed": "13999101096731359137", "semantic_fingerprint": "sha256:3cf654f75b66a92eaabf72f48a2f1bc8e5d7cf1b6ab623feb8ba777a1005ed36", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000962", "prompt": "Calculate: (-6 + 748) / (-8) + 526", "solution_steps": ["Add: -6 + 748 = 742", "Divide: 742 / (-8) = -371/4", "Add: -371/4 + 526 = 1733/4"], "final_answer": "1733/4", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + 748) / (-8) + 526", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 748, \"c\": -8, \"d\": 526}", "seed": "18226926497371628137", "semantic_fingerprint": "sha256:6dedd90d276316b73c6dd3a8c14187545c065fe6443e5b2bd58eefed872d5230", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000963", "prompt": "Solve the equation 5(x - 3) + 138 = 2(x + 39) for x.", "solution_steps": ["Expand: 5x - 15 + 138 = 2(x + 39)", "Expand: 5x - 15 + 138 = 2x + 78", "Combine constants: 5x + 123 = 2x + 78", "Subtract 2x from both sides: 3x + 123 = 78", "Subtract 123 from both sides: 3x = -45", "Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) + 138 = 2(x + 39)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 2, \"d\": 39, \"f\": 138, \"x\": -15}", "seed": "16587746656311547860", "semantic_fingerprint": "sha256:962a2f442d12c1f66724fd006b014303ae3a7291ddbdec15b82a20284fdbdd57", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000964", "prompt": "What is 102 + (968 - (-87)) + (-73)?", "solution_steps": ["Subtract: 968 - (-87) = 1055", "Add: 102 + 1055 = 1157", "Add: 1157 + (-73) = 1084"], "final_answer": "1084", "answer_type": "integer", "kind": "expression", "math_text": "102 + (968 - (-87)) + (-73)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 102, \"b\": 968, \"c\": -87, \"d\": -73}", "seed": "11607255714130375285", "semantic_fingerprint": "sha256:c4ffb0f5e8474bb5e28b1032b9b6e4ddaf9f49618a7c729cd296ae249347ccc5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000965", "prompt": "Find x: -8(x - 35) - 6 = x + 157", "solution_steps": ["Expand: -8x + 280 - 6 = x + 157", "Combine constants: -8x + 274 = x + 157", "Subtract x from both sides: -9x + 274 = 157", "Subtract 274 from both sides: -9x = -117", "Divide both sides by -9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 35) - 6 = x + 157", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 35, \"c\": 6, \"e\": 157, \"x\": 13}", "seed": "71279885134375736", "semantic_fingerprint": "sha256:689b3dc5ced4ba80f92d25c7953009fd2a5ac0ce922208fe5c5eb44a63ee73de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000966", "prompt": "Find x: 3(x + 2) = 10(x - 42) + 559", "solution_steps": ["Expand: 3x + 6 = 10(x - 42) + 559", "Expand: 3x + 6 = 10x - 420 + 559", "Combine constants: 3x + 6 = 10x + 139", "Subtract 10x from both sides: -7x + 6 = 139", "Subtract 6 from both sides: -7x = 133", "Divide both sides by -7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 2) = 10(x - 42) + 559", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 10, \"d\": 42, \"e\": 559}", "seed": "4584850398049855765", "semantic_fingerprint": "sha256:ed4ddf2b6d2b3530ae38addfb28618487cdcbb8c8c02158107ac9fa705b71c81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000967", "prompt": "Evaluate: 7 * (-95) * (-163 / (-75))", "solution_steps": ["Multiply: 7 * (-95) = -665", "Divide: -163 / (-75) = 163/75", "Multiply: -665 * (163/75) = -21679/15"], "final_answer": "-21679/15", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-95) * (-163 / (-75))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -95, \"c\": -163, \"d\": -75}", "seed": "15784812435077886052", "semantic_fingerprint": "sha256:762d6808c25b733d68c22e201b60b9d5c8f890fcec867ddfd030d2c6842d626e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000968", "prompt": "What is -7 / 260 + 89 - (-251) * (-29 + 17)?", "solution_steps": ["Divide: -7 / 260 = -7/260", "Add: -7/260 + 89 = 23133/260", "Add: -29 + 17 = -12", "Multiply: -251 * (-12) = 3012", "Subtract: 23133/260 - 3012 = -759987/260"], "final_answer": "-759987/260", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 260 + 89 - (-251) * (-29 + 17)", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 260, \"c\": 89, \"d\": -251, \"e\": -29, \"f\": 17}", "seed": "253995099663933510", "semantic_fingerprint": "sha256:cdcd7cbf099a0a3329a358498f04da74c46406001e3ab7b3d82e7dc749e51882", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000969", "prompt": "Solve for x: -6x - 284 = -3x - 263", "solution_steps": ["Add 3x to both sides: -3x - 284 = -263", "Add 284 to both sides: -3x = 21", "Divide both sides by -3: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 284 = -3x - 263", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 284, \"c\": -3, \"e\": -263, \"x\": -7}", "seed": "559694480928495707", "semantic_fingerprint": "sha256:8ecd87a73fb4b946c6787e31a92a2aa765e9488962948e3f51a190786eb038da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000970", "prompt": "Solve the equation 12x - 39 = 5x - 151 for x.", "solution_steps": ["Subtract 5x from both sides: 7x - 39 = -151", "Add 39 to both sides: 7x = -112", "Divide both sides by 7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 39 = 5x - 151", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 39, \"c\": 5, \"e\": -151, \"x\": -16}", "seed": "14811847468703977230", "semantic_fingerprint": "sha256:bbc46b36428d053434b376b0ec802a198a5b0fdcb9dac26bed706602fff53218", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000971", "prompt": "Calculate: 504 / (-1) + (-40 - (750 - (-22)))", "solution_steps": ["Divide: 504 / (-1) = -504", "Subtract: 750 - (-22) = 772", "Subtract: -40 - 772 = -812", "Add: -504 + (-812) = -1316"], "final_answer": "-1316", "answer_type": "integer", "kind": "expression", "math_text": "504 / (-1) + (-40 - (750 - (-22)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 504, \"b\": -1, \"c\": -40, \"d\": 750, \"e\": -22}", "seed": "2267665186640045110", "semantic_fingerprint": "sha256:5f5dc6386ca7ee0387bc6925fd34e16dcab1d16414708a3de447f80da29e1d2b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000972", "prompt": "Solve the equation -3(x - 192) - 4 = x + 632 for x.", "solution_steps": ["Expand: -3x + 576 - 4 = x + 632", "Combine constants: -3x + 572 = x + 632", "Subtract x from both sides: -4x + 572 = 632", "Subtract 572 from both sides: -4x = 60", "Divide both sides by -4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 192) - 4 = x + 632", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 192, \"c\": 4, \"e\": 632, \"x\": -15}", "seed": "6552845459067278890", "semantic_fingerprint": "sha256:31789ffaad20af1af0691277c02e317676e7822ec6fd7ff7d8a03049fec52b35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000973", "prompt": "What value of x satisfies 12(x + 26) = 10(x - 6) + 394?", "solution_steps": ["Expand: 12x + 312 = 10(x - 6) + 394", "Expand: 12x + 312 = 10x - 60 + 394", "Combine constants: 12x + 312 = 10x + 334", "Subtract 10x from both sides: 2x + 312 = 334", "Subtract 312 from both sides: 2x = 22", "Divide both sides by 2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 26) = 10(x - 6) + 394", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 26, \"c\": 10, \"d\": 6, \"f\": 394, \"x\": 11}", "seed": "5836422957034341461", "semantic_fingerprint": "sha256:d6e3756e2e0c22027b80da03e7a2e1e04f0cf17698eae5adbe3581a2166ad132", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000974", "prompt": "What value of x satisfies 8(x - 44) - 7 = x + 75?", "solution_steps": ["Expand: 8x - 352 - 7 = x + 75", "Combine constants: 8x - 359 = x + 75", "Subtract x from both sides: 7x - 359 = 75", "Add 359 to both sides: 7x = 434", "Divide both sides by 7: x = 62"], "final_answer": "62", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 44) - 7 = x + 75", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 44, \"c\": 7, \"d\": 75}", "seed": "7679971024015168561", "semantic_fingerprint": "sha256:a840e6f4e8b9e96138f5be6f25a426b6159bcee9a4e1cdcb1be43635e02ce7fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000975", "prompt": "Find x: -12(x - 7) + 1 = -7(x + 3)", "solution_steps": ["Expand: -12x + 84 + 1 = -7(x + 3)", "Expand: -12x + 84 + 1 = -7x - 21", "Combine constants: -12x + 85 = -7x - 21", "Add 7x to both sides: -5x + 85 = -21", "Subtract 85 from both sides: -5x = -106", "Divide both sides by -5: x = 106/5"], "final_answer": "106/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 7) + 1 = -7(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 1, \"d\": -7, \"e\": 3}", "seed": "11856803962478773672", "semantic_fingerprint": "sha256:b543e55585e33f910e1599fa121765145d623224dbc9acaf48777db39de51e7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000976", "prompt": "Find x: 2(x + 90) + 5 = x + 177", "solution_steps": ["Expand: 2x + 180 + 5 = x + 177", "Combine constants: 2x + 185 = x + 177", "Subtract x from both sides: x + 185 = 177", "Subtract 185 from both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 90) + 5 = x + 177", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 90, \"c\": 5, \"e\": 177, \"x\": -8}", "seed": "8001150835529310830", "semantic_fingerprint": "sha256:be69ef378dd1f39249f5993537d9493b7f4e4da690c1590439921c9e8d83f1db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000977", "prompt": "What value of x satisfies -5(x + 423) = 4(x - 8) + 44?", "solution_steps": ["Expand: -5x - 2115 = 4(x - 8) + 44", "Expand: -5x - 2115 = 4x - 32 + 44", "Combine constants: -5x - 2115 = 4x + 12", "Subtract 4x from both sides: -9x - 2115 = 12", "Add 2115 to both sides: -9x = 2127", "Divide both sides by -9: x = -709/3"], "final_answer": "-709/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 423) = 4(x - 8) + 44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 423, \"c\": 4, \"d\": 8, \"e\": 44}", "seed": "18044029083432745381", "semantic_fingerprint": "sha256:ab17d10d4cb1da5865f6f1fc2bdde69efddde7e13663a2a6dada5494f2a2aa7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000978", "prompt": "Compute: -2 * (-93 - (-94) - (-83)) * 277", "solution_steps": ["Subtract: -93 - (-94) = 1", "Subtract: 1 - (-83) = 84", "Multiply: -2 * 84 = -168", "Multiply: -168 * 277 = -46536"], "final_answer": "-46536", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-93 - (-94) - (-83)) * 277", "variable": null, "family": "expression_4op", "shape": "(* (* n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -93, \"c\": -94, \"d\": -83, \"e\": 277}", "seed": "17095823719828863351", "semantic_fingerprint": "sha256:2c9c3ad2a84566161260f6ad09ba6d48bc8b4fc3ea52af30db1a9c2a9fe67047", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000979", "prompt": "What value of x satisfies 9x - 3 = 12(x - 5)?", "solution_steps": ["Expand: 9x - 3 = 12x - 60", "Subtract 12x from both sides: -3x - 3 = -60", "Add 3 to both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 3 = 12(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 12, \"d\": 5}", "seed": "1651294243432599059", "semantic_fingerprint": "sha256:a96415876e636ae812080a187f8c760743ecfc9b4b09df91bbfbbe1052ef53eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000980", "prompt": "Compute: -32 / (58 + 302) - (-45) / (-45)", "solution_steps": ["Add: 58 + 302 = 360", "Divide: -32 / 360 = -4/45", "Divide: -45 / (-45) = 1", "Subtract: -4/45 - 1 = -49/45"], "final_answer": "-49/45", "answer_type": "rational", "kind": "expression", "math_text": "-32 / (58 + 302) - (-45) / (-45)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 58, \"c\": 302, \"d\": -45, \"e\": -45}", "seed": "6868965314296661807", "semantic_fingerprint": "sha256:ce43c19667bde0469e1555e45c4cf96999cfab99425212018d2a8df556eaf971", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000981", "prompt": "What value of x satisfies 4(x + 1) - 700 = x + 58?", "solution_steps": ["Expand: 4x + 4 - 700 = x + 58", "Combine constants: 4x - 696 = x + 58", "Subtract x from both sides: 3x - 696 = 58", "Add 696 to both sides: 3x = 754", "Divide both sides by 3: x = 754/3"], "final_answer": "754/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 1) - 700 = x + 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 700, \"d\": 58}", "seed": "3491742007898583895", "semantic_fingerprint": "sha256:f1442aae0acc57b6fb2b69109c42860c54f4383eb9076109ca8eaedcbba8586a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000982", "prompt": "Calculate: (-468 - (-994) / (-16)) * (-118 / 11)", "solution_steps": ["Divide: -994 / (-16) = 497/8", "Subtract: -468 - 497/8 = -4241/8", "Divide: -118 / 11 = -118/11", "Multiply: (-4241/8) * (-118/11) = 250219/44"], "final_answer": "250219/44", "answer_type": "rational", "kind": "expression", "math_text": "(-468 - (-994) / (-16)) * (-118 / 11)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -468, \"b\": -994, \"c\": -16, \"d\": -118, \"e\": 11}", "seed": "3992670679074266308", "semantic_fingerprint": "sha256:baaaddb2a19033cac874e751f1bc58247d7dd382898d4622e6e09362d4054adb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000983", "prompt": "Evaluate: -3 / 129 * (-85 / 5)", "solution_steps": ["Divide: -3 / 129 = -1/43", "Divide: -85 / 5 = -17", "Multiply: (-1/43) * (-17) = 17/43"], "final_answer": "17/43", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 129 * (-85 / 5)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 129, \"c\": -85, \"d\": 5}", "seed": "7926097094328244214", "semantic_fingerprint": "sha256:b850549d6f6ac299283af376991fe67f08a77ee82e7d4112df4db606826df0b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000984", "prompt": "Solve for x: -11x - 70 = 3x - 98", "solution_steps": ["Subtract 3x from both sides: -14x - 70 = -98", "Add 70 to both sides: -14x = -28", "Divide both sides by -14: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 70 = 3x - 98", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 70, \"c\": 3, \"e\": -98, \"x\": 2}", "seed": "10460812504902786067", "semantic_fingerprint": "sha256:12a86661fb2715ee59be847bcbe3bca69e4ba9761ec6ae2ebb4f2db92d638daf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000985", "prompt": "Find x: 7x - 9 = 3(x - 89)", "solution_steps": ["Expand: 7x - 9 = 3x - 267", "Subtract 3x from both sides: 4x - 9 = -267", "Add 9 to both sides: 4x = -258", "Divide both sides by 4: x = -129/2"], "final_answer": "-129/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 9 = 3(x - 89)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 3, \"d\": 89}", "seed": "5194317925812476764", "semantic_fingerprint": "sha256:941f52c7d7908a97f9ee80deb2c069682fbc84922e7e38eb19dcf04bdf88e3d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000986", "prompt": "Evaluate: -4 + 56 + (-95 / (-378) - (-14))", "solution_steps": ["Add: -4 + 56 = 52", "Divide: -95 / (-378) = 95/378", "Subtract: 95/378 - (-14) = 5387/378", "Add: 52 + 5387/378 = 25043/378"], "final_answer": "25043/378", "answer_type": "rational", "kind": "expression", "math_text": "-4 + 56 + (-95 / (-378) - (-14))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 56, \"c\": -95, \"d\": -378, \"e\": -14}", "seed": "1008078040785296988", "semantic_fingerprint": "sha256:0738b993d13e156073764abff4124e611426e6d804a2c8663180ff13a9d04c20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000987", "prompt": "Calculate: 81 + 6 + (60 - 0 - (-4))", "solution_steps": ["Add: 81 + 6 = 87", "Subtract: 60 - 0 = 60", "Subtract: 60 - (-4) = 64", "Add: 87 + 64 = 151"], "final_answer": "151", "answer_type": "integer", "kind": "expression", "math_text": "81 + 6 + (60 - 0 - (-4))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 6, \"c\": 60, \"d\": 0, \"e\": -4}", "seed": "16054491659020981908", "semantic_fingerprint": "sha256:bbc44a62e7d8cef4669137ccf74acc7accfaa9fd076f943f655e1a01e03e210a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000988", "prompt": "What is 800 / (-4) * (63 * 3) / (-5)?", "solution_steps": ["Divide: 800 / (-4) = -200", "Multiply: 63 * 3 = 189", "Multiply: -200 * 189 = -37800", "Divide: -37800 / (-5) = 7560"], "final_answer": "7560", "answer_type": "integer", "kind": "expression", "math_text": "800 / (-4) * (63 * 3) / (-5)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 800, \"b\": -4, \"c\": 63, \"d\": 3, \"e\": -5}", "seed": "2065470439892609669", "semantic_fingerprint": "sha256:b351021b332004c47459a608b012c8746b8871d2cbd94a3d356455ccf34b01f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000989", "prompt": "Calculate: (5 - 961 * (-810)) / (-888)", "solution_steps": ["Multiply: 961 * (-810) = -778410", "Subtract: 5 - (-778410) = 778415", "Divide: 778415 / (-888) = -778415/888"], "final_answer": "-778415/888", "answer_type": "rational", "kind": "expression", "math_text": "(5 - 961 * (-810)) / (-888)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 961, \"c\": -810, \"d\": -888}", "seed": "932224428818532131", "semantic_fingerprint": "sha256:bc931df49e5acdc8eff8e595dcd2bef47b590df481bdf0b416fabeb6ec1c99ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000990", "prompt": "Evaluate: (-9 + 400) / 6 + 3", "solution_steps": ["Add: -9 + 400 = 391", "Divide: 391 / 6 = 391/6", "Add: 391/6 + 3 = 409/6"], "final_answer": "409/6", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 400) / 6 + 3", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 400, \"c\": 6, \"d\": 3}", "seed": "14823768869527351059", "semantic_fingerprint": "sha256:1a560d594e10639912698888419d149f45ad65f853ef7911ebdaac508304280f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000991", "prompt": "Solve for x: -5(x - 3) - 4 = x + 119", "solution_steps": ["Expand: -5x + 15 - 4 = x + 119", "Combine constants: -5x + 11 = x + 119", "Subtract x from both sides: -6x + 11 = 119", "Subtract 11 from both sides: -6x = 108", "Divide both sides by -6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 3) - 4 = x + 119", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 4, \"e\": 119, \"x\": -18}", "seed": "376611332288009779", "semantic_fingerprint": "sha256:f8aae4a3a0633a4c12f1c6d2d2499b6075caba618fc8a18b79d0055a63e2c35f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000992", "prompt": "What value of x satisfies -9x - 50 = 11x - 190?", "solution_steps": ["Subtract 11x from both sides: -20x - 50 = -190", "Add 50 to both sides: -20x = -140", "Divide both sides by -20: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 50 = 11x - 190", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 50, \"c\": 11, \"e\": -190, \"x\": 7}", "seed": "15065846672095604548", "semantic_fingerprint": "sha256:ffd042c6c6e3c66b35fc9ab6228804ea09d0a88c1c9e69a5d3324452e31057f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000993", "prompt": "What value of x satisfies 9x - 621 = 7x - 611?", "solution_steps": ["Subtract 7x from both sides: 2x - 621 = -611", "Add 621 to both sides: 2x = 10", "Divide both sides by 2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 621 = 7x - 611", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 621, \"c\": 7, \"e\": -611, \"x\": 5}", "seed": "4001320230169382800", "semantic_fingerprint": "sha256:7e8cd7652db001816df74c1e397ac633f71b8d1e1af76b160e2f0ebf61788b03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000994", "prompt": "What value of x satisfies 6(x - 3) + 694 = 7(x + 95)?", "solution_steps": ["Expand: 6x - 18 + 694 = 7(x + 95)", "Expand: 6x - 18 + 694 = 7x + 665", "Combine constants: 6x + 676 = 7x + 665", "Subtract 7x from both sides: -x + 676 = 665", "Subtract 676 from both sides: -x = -11", "Divide both sides by -1: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) + 694 = 7(x + 95)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 7, \"d\": 95, \"f\": 694, \"x\": 11}", "seed": "5227558329381958780", "semantic_fingerprint": "sha256:04bdaa7f71a8f2d5c3e9edb4262ad76ecaddf1f47b2024311228c567fb73ac3a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000995", "prompt": "Solve the equation 12(x + 647) = 5(x - 780) + 466 for x.", "solution_steps": ["Expand: 12x + 7764 = 5(x - 780) + 466", "Expand: 12x + 7764 = 5x - 3900 + 466", "Combine constants: 12x + 7764 = 5x - 3434", "Subtract 5x from both sides: 7x + 7764 = -3434", "Subtract 7764 from both sides: 7x = -11198", "Divide both sides by 7: x = -11198/7"], "final_answer": "-11198/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 647) = 5(x - 780) + 466", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 647, \"c\": 5, \"d\": 780, \"e\": 466}", "seed": "10156976105485516575", "semantic_fingerprint": "sha256:5033e08947bd0b4ab570cab62d1792a6bb0e6d4e56c178165376e89f662a09b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000996", "prompt": "Find x: 4(x - 7) + 47 = 6(x + 17)", "solution_steps": ["Expand: 4x - 28 + 47 = 6(x + 17)", "Expand: 4x - 28 + 47 = 6x + 102", "Combine constants: 4x + 19 = 6x + 102", "Subtract 6x from both sides: -2x + 19 = 102", "Subtract 19 from both sides: -2x = 83", "Divide both sides by -2: x = -83/2"], "final_answer": "-83/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 7) + 47 = 6(x + 17)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 47, \"d\": 6, \"e\": 17}", "seed": "859161858424561265", "semantic_fingerprint": "sha256:ccf27e83858bcb2dcc34a0c9b141143c4bfd7583c38406d9956d396629e081a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000997", "prompt": "Compute: -69 - (-759) + (-8) + (-25 + (95 - (-13)))", "solution_steps": ["Subtract: -69 - (-759) = 690", "Add: 690 + (-8) = 682", "Subtract: 95 - (-13) = 108", "Add: -25 + 108 = 83", "Add: 682 + 83 = 765"], "final_answer": "765", "answer_type": "integer", "kind": "expression", "math_text": "-69 - (-759) + (-8) + (-25 + (95 - (-13)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -759, \"c\": -8, \"d\": -25, \"e\": 95, \"f\": -13}", "seed": "10863954077607113630", "semantic_fingerprint": "sha256:e5f3da6891639b2ea144a49f2d610288a5bd5c6ca8c1bce9f167ee197e65755d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000998", "prompt": "Calculate: -99 - (72 * ((-325 + 0) / (-3)) - (-749))", "solution_steps": ["Add: -325 + 0 = -325", "Divide: -325 / (-3) = 325/3", "Multiply: 72 * (325/3) = 7800", "Subtract: 7800 - (-749) = 8549", "Subtract: -99 - 8549 = -8648"], "final_answer": "-8648", "answer_type": "integer", "kind": "expression", "math_text": "-99 - (72 * ((-325 + 0) / (-3)) - (-749))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n (/ (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 72, \"c\": -325, \"d\": 0, \"e\": -3, \"f\": -749}", "seed": "6680514681459596616", "semantic_fingerprint": "sha256:32ce1256fc1ba5d5dc7471e31c49c8aba687486e8dfc153940fc14564027f8d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00000999", "prompt": "Evaluate: (7 - 9 * (-486)) / (-152)", "solution_steps": ["Multiply: 9 * (-486) = -4374", "Subtract: 7 - (-4374) = 4381", "Divide: 4381 / (-152) = -4381/152"], "final_answer": "-4381/152", "answer_type": "rational", "kind": "expression", "math_text": "(7 - 9 * (-486)) / (-152)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": -486, \"d\": -152}", "seed": "5623217860326673273", "semantic_fingerprint": "sha256:f5e393cd8944d3a9a32f470d4f9cf1fd112ef44a885cb924820904da0096ea22", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001000", "prompt": "Evaluate: -4 * 8 * (-36 / 480)", "solution_steps": ["Multiply: -4 * 8 = -32", "Divide: -36 / 480 = -3/40", "Multiply: -32 * (-3/40) = 12/5"], "final_answer": "12/5", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 8 * (-36 / 480)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": -36, \"d\": 480}", "seed": "3507843717996555609", "semantic_fingerprint": "sha256:bb0edce12db02e3b6ca31503591bdbb48d617c8b1285021682623160f74dff8f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001001", "prompt": "Find x: 2x - 42 = 7(x - 31)", "solution_steps": ["Expand: 2x - 42 = 7x - 217", "Subtract 7x from both sides: -5x - 42 = -217", "Add 42 to both sides: -5x = -175", "Divide both sides by -5: x = 35"], "final_answer": "35", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 42 = 7(x - 31)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 42, \"c\": 7, \"d\": 31}", "seed": "1799276904436003877", "semantic_fingerprint": "sha256:6d26c212133f6edb8d4f02d2709a8ad4467be5c9e0ace28277992d5d76e6d73b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001002", "prompt": "Calculate: (-52 + (-144)) / (83 + (-74))", "solution_steps": ["Add: -52 + (-144) = -196", "Add: 83 + (-74) = 9", "Divide: -196 / 9 = -196/9"], "final_answer": "-196/9", "answer_type": "rational", "kind": "expression", "math_text": "(-52 + (-144)) / (83 + (-74))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -144, \"c\": 83, \"d\": -74}", "seed": "604036432580568912", "semantic_fingerprint": "sha256:dbad37a14ca1c27c4d1f8cbb26e8f0031e91ee837ca5b165b3bedc2fd1e663ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001003", "prompt": "Find x: 10(x + 83) - 2 = x + 738", "solution_steps": ["Expand: 10x + 830 - 2 = x + 738", "Combine constants: 10x + 828 = x + 738", "Subtract x from both sides: 9x + 828 = 738", "Subtract 828 from both sides: 9x = -90", "Divide both sides by 9: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 83) - 2 = x + 738", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 83, \"c\": 2, \"e\": 738, \"x\": -10}", "seed": "12536937269681325119", "semantic_fingerprint": "sha256:e2ef985f982d31be8b32a20ba086b7b19791e85a1304ce073966d477e8ea8ee8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001004", "prompt": "Solve the equation 9(x - 72) - 90 = x + 4 for x.", "solution_steps": ["Expand: 9x - 648 - 90 = x + 4", "Combine constants: 9x - 738 = x + 4", "Subtract x from both sides: 8x - 738 = 4", "Add 738 to both sides: 8x = 742", "Divide both sides by 8: x = 371/4"], "final_answer": "371/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 72) - 90 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 72, \"c\": 90, \"d\": 4}", "seed": "5412123403459763313", "semantic_fingerprint": "sha256:073ae25fd0d3579cbd4f6bfec79273be9319db6015badd24078b98cbeaf8c123", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001005", "prompt": "What is -35 / (-56) + (35 / 90 * (-7) - (-696))?", "solution_steps": ["Divide: -35 / (-56) = 5/8", "Divide: 35 / 90 = 7/18", "Multiply: (7/18) * (-7) = -49/18", "Subtract: -49/18 - (-696) = 12479/18", "Add: 5/8 + 12479/18 = 49961/72"], "final_answer": "49961/72", "answer_type": "rational", "kind": "expression", "math_text": "-35 / (-56) + (35 / 90 * (-7) - (-696))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -56, \"c\": 35, \"d\": 90, \"e\": -7, \"f\": -696}", "seed": "190970227581008054", "semantic_fingerprint": "sha256:cec2c23738a01bfb38f48ad36d9d3f11f1926c7a47e0655ec371b5daa54a2c26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001006", "prompt": "Find x: -8x - 523 = 11(x - 32)", "solution_steps": ["Expand: -8x - 523 = 11x - 352", "Subtract 11x from both sides: -19x - 523 = -352", "Add 523 to both sides: -19x = 171", "Divide both sides by -19: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 523 = 11(x - 32)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 11, \"c\": 32, \"e\": -523, \"x\": -9}", "seed": "13654149620455105442", "semantic_fingerprint": "sha256:62984d7c933dbfaadaa00786a875a7ebc08d801c8e4862e55a902bd67aec5a0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001007", "prompt": "What is 9 * (-3 + 192 - (134 * 3 + (-59)))?", "solution_steps": ["Add: -3 + 192 = 189", "Multiply: 134 * 3 = 402", "Add: 402 + (-59) = 343", "Subtract: 189 - 343 = -154", "Multiply: 9 * (-154) = -1386"], "final_answer": "-1386", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-3 + 192 - (134 * 3 + (-59)))", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n n) (+ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -3, \"c\": 192, \"d\": 134, \"e\": 3, \"f\": -59}", "seed": "16824578356738224638", "semantic_fingerprint": "sha256:a7cf20e927d6f2d5baf5b4d3ba714053f0824f0700be822749dd2ce5b9551d31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001008", "prompt": "Compute: 82 * (-175) + (-4 - (-477))", "solution_steps": ["Multiply: 82 * (-175) = -14350", "Subtract: -4 - (-477) = 473", "Add: -14350 + 473 = -13877"], "final_answer": "-13877", "answer_type": "integer", "kind": "expression", "math_text": "82 * (-175) + (-4 - (-477))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -175, \"c\": -4, \"d\": -477}", "seed": "13924245747502075873", "semantic_fingerprint": "sha256:327bd499df58846ed84908b6e5bc617cb7885a42a2887efd78ed5e98ac020c76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001009", "prompt": "What value of x satisfies 5x - 94 = 8x - 91?", "solution_steps": ["Subtract 8x from both sides: -3x - 94 = -91", "Add 94 to both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 94 = 8x - 91", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 94, \"c\": 8, \"e\": -91, \"x\": -1}", "seed": "3987668996110996958", "semantic_fingerprint": "sha256:979a244e87790ed8c9699657bbd249ad17e92a9f3facffac6c5508ff83ed3425", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001010", "prompt": "Evaluate: (5 - (0 - 80)) * (85 + 5)", "solution_steps": ["Subtract: 0 - 80 = -80", "Subtract: 5 - (-80) = 85", "Add: 85 + 5 = 90", "Multiply: 85 * 90 = 7650"], "final_answer": "7650", "answer_type": "integer", "kind": "expression", "math_text": "(5 - (0 - 80)) * (85 + 5)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 0, \"c\": 80, \"d\": 85, \"e\": 5}", "seed": "4759344642202508485", "semantic_fingerprint": "sha256:ae21001546628eec20b006c2428920e7234de5d6e2b03631b229c05c7a65cbb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001011", "prompt": "What is 4 * (57 * (-60)) + 0?", "solution_steps": ["Multiply: 57 * (-60) = -3420", "Multiply: 4 * (-3420) = -13680", "Add: -13680 + 0 = -13680"], "final_answer": "-13680", "answer_type": "integer", "kind": "expression", "math_text": "4 * (57 * (-60)) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 57, \"c\": -60, \"d\": 0}", "seed": "1320234976605607761", "semantic_fingerprint": "sha256:f3bcc942f18e9edb7dd543747fce7a231be409538cbae6ed7ddaead48bc24005", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001012", "prompt": "Find x: 5x = -8(x + 34) + 246", "solution_steps": ["Expand: 5x = -8x - 272 + 246", "Combine constants: 5x = -8x - 26", "Add 8x to both sides: 13x = -26", "Divide both sides by 13: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -8(x + 34) + 246", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -8, \"c\": 34, \"e\": 246, \"x\": -2}", "seed": "17753863685720706485", "semantic_fingerprint": "sha256:53044fa007e97fd2781d71477bc9374566e916074c0a62f5445b21ebefd000a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001013", "prompt": "What is -6 - (-6) * (0 + 18 - 67)?", "solution_steps": ["Add: 0 + 18 = 18", "Subtract: 18 - 67 = -49", "Multiply: -6 * (-49) = 294", "Subtract: -6 - 294 = -300"], "final_answer": "-300", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-6) * (0 + 18 - 67)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (- (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -6, \"c\": 0, \"d\": 18, \"e\": 67}", "seed": "7590086015029062153", "semantic_fingerprint": "sha256:7612bc151914fc70ff21d8153404698c563c33b8dacdd0877b48e41fdedc26b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001014", "prompt": "Find x: 9x - 951 = 5x - 883", "solution_steps": ["Subtract 5x from both sides: 4x - 951 = -883", "Add 951 to both sides: 4x = 68", "Divide both sides by 4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 951 = 5x - 883", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 951, \"c\": 5, \"e\": -883, \"x\": 17}", "seed": "1152292304411000473", "semantic_fingerprint": "sha256:1a329ed7493c7e7b27124a868cebdc19298a3531d66a92b3c5372062cf36f778", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001015", "prompt": "Find x: -10x - 4 = 3x - 95", "solution_steps": ["Subtract 3x from both sides: -13x - 4 = -95", "Add 4 to both sides: -13x = -91", "Divide both sides by -13: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 4 = 3x - 95", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"c\": 3, \"e\": -95, \"x\": 7}", "seed": "6434001917784630891", "semantic_fingerprint": "sha256:0da11670cc012d4f58623a8878309032f4c681701982de06b09c8949e7571f51", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001016", "prompt": "Calculate: 5 * 171 + 96 + (-82)", "solution_steps": ["Multiply: 5 * 171 = 855", "Add: 855 + 96 = 951", "Add: 951 + (-82) = 869"], "final_answer": "869", "answer_type": "integer", "kind": "expression", "math_text": "5 * 171 + 96 + (-82)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 171, \"c\": 96, \"d\": -82}", "seed": "14510078002162936497", "semantic_fingerprint": "sha256:7a9017c843530a3c65c534d76d5d171e5de00c6e81b6d414355e687d12739aac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001017", "prompt": "Calculate: -2 * (-38) / 38 + (-58) + (-1) * 7", "solution_steps": ["Multiply: -2 * (-38) = 76", "Divide: 76 / 38 = 2", "Add: 2 + (-58) = -56", "Multiply: -1 * 7 = -7", "Add: -56 + (-7) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-38) / 38 + (-58) + (-1) * 7", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ (* n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -38, \"c\": 38, \"d\": -58, \"e\": -1, \"f\": 7}", "seed": "405689381922872759", "semantic_fingerprint": "sha256:77421c5770bce246c2a477dd1640790f8a042ab05a0a0038bf90e77207be6ca9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001018", "prompt": "What is (2 + (-271)) / (35 + 95)?", "solution_steps": ["Add: 2 + (-271) = -269", "Add: 35 + 95 = 130", "Divide: -269 / 130 = -269/130"], "final_answer": "-269/130", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (-271)) / (35 + 95)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -271, \"c\": 35, \"d\": 95}", "seed": "11141161433607493646", "semantic_fingerprint": "sha256:0cf835e086114d9ab942f1f59d133f90e5ddea82042b69c4af435c76d2e53e64", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001019", "prompt": "Compute: -96 - (-2 + 8) * 388 + 995", "solution_steps": ["Add: -2 + 8 = 6", "Multiply: 6 * 388 = 2328", "Subtract: -96 - 2328 = -2424", "Add: -2424 + 995 = -1429"], "final_answer": "-1429", "answer_type": "integer", "kind": "expression", "math_text": "-96 - (-2 + 8) * 388 + 995", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -2, \"c\": 8, \"d\": 388, \"e\": 995}", "seed": "5179393590868878971", "semantic_fingerprint": "sha256:71810e91009d06c9d910b2b400a19b1b5b29ec49658ecf7b367b03a9cbae3970", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001020", "prompt": "Solve for x: 3(x + 7) + 50 = x + 51", "solution_steps": ["Expand: 3x + 21 + 50 = x + 51", "Combine constants: 3x + 71 = x + 51", "Subtract x from both sides: 2x + 71 = 51", "Subtract 71 from both sides: 2x = -20", "Divide both sides by 2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 7) + 50 = x + 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 50, \"e\": 51, \"x\": -10}", "seed": "1042938520309270565", "semantic_fingerprint": "sha256:711bd127f7b8642bff6a892f9d3e04263a991678aefe6187899fe8b6f608f547", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001021", "prompt": "What value of x satisfies 10(x + 9) = 5(x - 17) + 205?", "solution_steps": ["Expand: 10x + 90 = 5(x - 17) + 205", "Expand: 10x + 90 = 5x - 85 + 205", "Combine constants: 10x + 90 = 5x + 120", "Subtract 5x from both sides: 5x + 90 = 120", "Subtract 90 from both sides: 5x = 30", "Divide both sides by 5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 9) = 5(x - 17) + 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 5, \"d\": 17, \"f\": 205, \"x\": 6}", "seed": "864761379931866917", "semantic_fingerprint": "sha256:f9ca6f27b72045f14d3cbc9860f233b6aae9e06ab0bdeeca8cfa749dad00413d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001022", "prompt": "Solve the equation -2x = -3(x + 44) + 112 for x.", "solution_steps": ["Expand: -2x = -3x - 132 + 112", "Combine constants: -2x = -3x - 20", "Add 3x to both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = -3(x + 44) + 112", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -3, \"c\": 44, \"e\": 112, \"x\": -20}", "seed": "4621200868926746171", "semantic_fingerprint": "sha256:5fba077a6efa0a24533de9b487f850f729498bb4310edb326459bbd9b9ff9423", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001023", "prompt": "What is -189 / (-97) - 34 - (-1) / (-86)?", "solution_steps": ["Divide: -189 / (-97) = 189/97", "Subtract: 189/97 - 34 = -3109/97", "Divide: -1 / (-86) = 1/86", "Subtract: -3109/97 - 1/86 = -267471/8342"], "final_answer": "-267471/8342", "answer_type": "rational", "kind": "expression", "math_text": "-189 / (-97) - 34 - (-1) / (-86)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -189, \"b\": -97, \"c\": 34, \"d\": -1, \"e\": -86}", "seed": "9149519006846345116", "semantic_fingerprint": "sha256:60cbb48e3d241aad5ec8a503db3f1b942393410bdcb61dbf775aadb34abd809f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001024", "prompt": "Compute: 584 / 83 * (67 / (-36))", "solution_steps": ["Divide: 584 / 83 = 584/83", "Divide: 67 / (-36) = -67/36", "Multiply: (584/83) * (-67/36) = -9782/747"], "final_answer": "-9782/747", "answer_type": "rational", "kind": "expression", "math_text": "584 / 83 * (67 / (-36))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 584, \"b\": 83, \"c\": 67, \"d\": -36}", "seed": "20888392041752391", "semantic_fingerprint": "sha256:e2e0dd5dcae3562e0e74561e67c234c88df5877462c0bbf2aa30dc4a1c72a398", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001025", "prompt": "Evaluate: 19 - 42 + (65 / (-61) * 9 + (-8))", "solution_steps": ["Subtract: 19 - 42 = -23", "Divide: 65 / (-61) = -65/61", "Multiply: (-65/61) * 9 = -585/61", "Add: -585/61 + (-8) = -1073/61", "Add: -23 + (-1073/61) = -2476/61"], "final_answer": "-2476/61", "answer_type": "rational", "kind": "expression", "math_text": "19 - 42 + (65 / (-61) * 9 + (-8))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 42, \"c\": 65, \"d\": -61, \"e\": 9, \"f\": -8}", "seed": "16890378667031094749", "semantic_fingerprint": "sha256:69cf0177cf8e3737c362437c91e6d5a41327f59af532bc3002b9a42f6d7cbfc6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001026", "prompt": "Evaluate: (2 + 31) / (40 / 2 / (-370 - (-80)))", "solution_steps": ["Add: 2 + 31 = 33", "Divide: 40 / 2 = 20", "Subtract: -370 - (-80) = -290", "Divide: 20 / (-290) = -2/29", "Divide: 33 / (-2/29) = -957/2"], "final_answer": "-957/2", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 31) / (40 / 2 / (-370 - (-80)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 31, \"c\": 40, \"d\": 2, \"e\": -370, \"f\": -80}", "seed": "4456600353691254091", "semantic_fingerprint": "sha256:5c2d59475caa664989cc64fc2578ef6134ebde2351d8c378b6ee0153eb5e170a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001027", "prompt": "What value of x satisfies -9(x + 926) = 11(x - 750) + 4?", "solution_steps": ["Expand: -9x - 8334 = 11(x - 750) + 4", "Expand: -9x - 8334 = 11x - 8250 + 4", "Combine constants: -9x - 8334 = 11x - 8246", "Subtract 11x from both sides: -20x - 8334 = -8246", "Add 8334 to both sides: -20x = 88", "Divide both sides by -20: x = -22/5"], "final_answer": "-22/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 926) = 11(x - 750) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 926, \"c\": 11, \"d\": 750, \"e\": 4}", "seed": "10652292637205451016", "semantic_fingerprint": "sha256:5d2a82bed91d23289ce3b7a5aae72129f3c1f7e3d62525560115458a3e5c8119", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001028", "prompt": "Compute: -416 - (-3 - (15 + 402 * (-9)))", "solution_steps": ["Multiply: 402 * (-9) = -3618", "Add: 15 + (-3618) = -3603", "Subtract: -3 - (-3603) = 3600", "Subtract: -416 - 3600 = -4016"], "final_answer": "-4016", "answer_type": "integer", "kind": "expression", "math_text": "-416 - (-3 - (15 + 402 * (-9)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -416, \"b\": -3, \"c\": 15, \"d\": 402, \"e\": -9}", "seed": "16725834612812778788", "semantic_fingerprint": "sha256:97f8cb78b5a6c227886647f6c6d084adb25ec0ae8249fb2a999300b4653ac01e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001029", "prompt": "Calculate: (11 / (-21) - 758) * (2 / 4)", "solution_steps": ["Divide: 11 / (-21) = -11/21", "Subtract: -11/21 - 758 = -15929/21", "Divide: 2 / 4 = 1/2", "Multiply: (-15929/21) * (1/2) = -15929/42"], "final_answer": "-15929/42", "answer_type": "rational", "kind": "expression", "math_text": "(11 / (-21) - 758) * (2 / 4)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -21, \"c\": 758, \"d\": 2, \"e\": 4}", "seed": "850129711446367588", "semantic_fingerprint": "sha256:3d39201a629e2eaaff6c4f3a857ea0f0a51a31f91b599b6058bebc02ee743a07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001030", "prompt": "Solve for x: -2x - 26 = -6(x - 5)", "solution_steps": ["Expand: -2x - 26 = -6x + 30", "Add 6x to both sides: 4x - 26 = 30", "Add 26 to both sides: 4x = 56", "Divide both sides by 4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 26 = -6(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": 5, \"e\": -26, \"x\": 14}", "seed": "3681549678671948935", "semantic_fingerprint": "sha256:90eac3f9ac8a8d70cfbe2b96f66ad35901ba8af256b31db9ca30383637ea9b64", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001031", "prompt": "Calculate: -6 / (-63) - (-51) - (-55) * (-7)", "solution_steps": ["Divide: -6 / (-63) = 2/21", "Subtract: 2/21 - (-51) = 1073/21", "Multiply: -55 * (-7) = 385", "Subtract: 1073/21 - 385 = -7012/21"], "final_answer": "-7012/21", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-63) - (-51) - (-55) * (-7)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -63, \"c\": -51, \"d\": -55, \"e\": -7}", "seed": "10235283619694458145", "semantic_fingerprint": "sha256:5209dc4c2c90f676d874963dde0b9f2782e3ab294a39abf4b0a48b2a83b4321c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001032", "prompt": "Evaluate: 84 + (-640 - (0 + (-28) * (-21)))", "solution_steps": ["Multiply: -28 * (-21) = 588", "Add: 0 + 588 = 588", "Subtract: -640 - 588 = -1228", "Add: 84 + (-1228) = -1144"], "final_answer": "-1144", "answer_type": "integer", "kind": "expression", "math_text": "84 + (-640 - (0 + (-28) * (-21)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -640, \"c\": 0, \"d\": -28, \"e\": -21}", "seed": "11144420960568296962", "semantic_fingerprint": "sha256:50365779d4691aa4e5c3298edb8019cbd4dd8b450b83a6d7712257b344561dcb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001033", "prompt": "Calculate: 9 - 72 * (-6 / 42)", "solution_steps": ["Divide: -6 / 42 = -1/7", "Multiply: 72 * (-1/7) = -72/7", "Subtract: 9 - (-72/7) = 135/7"], "final_answer": "135/7", "answer_type": "rational", "kind": "expression", "math_text": "9 - 72 * (-6 / 42)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 72, \"c\": -6, \"d\": 42}", "seed": "11951317675914521383", "semantic_fingerprint": "sha256:b039beab27a6f38d5353d842058cfa2c0c97c5f1e932078eac828659ec0bbecc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001034", "prompt": "What is 95 * (-44) / (-6 * 754 / (4 * (-46)))?", "solution_steps": ["Multiply: 95 * (-44) = -4180", "Multiply: -6 * 754 = -4524", "Multiply: 4 * (-46) = -184", "Divide: -4524 / (-184) = 1131/46", "Divide: -4180 / (1131/46) = -192280/1131"], "final_answer": "-192280/1131", "answer_type": "rational", "kind": "expression", "math_text": "95 * (-44) / (-6 * 754 / (4 * (-46)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (/ (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -44, \"c\": -6, \"d\": 754, \"e\": 4, \"f\": -46}", "seed": "2500008657880080115", "semantic_fingerprint": "sha256:c737b296f865b2302aee0b0a885fe40474645e9a0dcbbf6e04fff50168785ae1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001035", "prompt": "Solve for x: 8x = -10(x + 25) - 7", "solution_steps": ["Expand: 8x = -10x - 250 - 7", "Combine constants: 8x = -10x - 257", "Add 10x to both sides: 18x = -257", "Divide both sides by 18: x = -257/18"], "final_answer": "-257/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = -10(x + 25) - 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -10, \"c\": 25, \"d\": 7}", "seed": "6359908507073411101", "semantic_fingerprint": "sha256:c58036026748e287a49f9eca4ea5ddab97c0a4805ddaf1b74ff06c65b4ee3132", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001036", "prompt": "What value of x satisfies 3(x + 44) + 76 = x + 472?", "solution_steps": ["Expand: 3x + 132 + 76 = x + 472", "Combine constants: 3x + 208 = x + 472", "Subtract x from both sides: 2x + 208 = 472", "Subtract 208 from both sides: 2x = 264", "Divide both sides by 2: x = 132"], "final_answer": "132", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 44) + 76 = x + 472", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 44, \"c\": 76, \"d\": 472}", "seed": "560271608666317041", "semantic_fingerprint": "sha256:1d57d71fb3a1b2d4d00c5c33ac34a412bedddc6e1dc03d4007828cb83e0a8bde", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001037", "prompt": "What value of x satisfies 8(x + 94) - 384 = x + 298?", "solution_steps": ["Expand: 8x + 752 - 384 = x + 298", "Combine constants: 8x + 368 = x + 298", "Subtract x from both sides: 7x + 368 = 298", "Subtract 368 from both sides: 7x = -70", "Divide both sides by 7: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 94) - 384 = x + 298", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 94, \"c\": 384, \"e\": 298, \"x\": -10}", "seed": "1556579633665534995", "semantic_fingerprint": "sha256:ba3f4b73360dd54c483342413637a09283262841ac86db9d5a8a7b9af322619a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001038", "prompt": "What is (-434 - (-8 + (-34))) * 6?", "solution_steps": ["Add: -8 + (-34) = -42", "Subtract: -434 - (-42) = -392", "Multiply: -392 * 6 = -2352"], "final_answer": "-2352", "answer_type": "integer", "kind": "expression", "math_text": "(-434 - (-8 + (-34))) * 6", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -434, \"b\": -8, \"c\": -34, \"d\": 6}", "seed": "16511471854353060412", "semantic_fingerprint": "sha256:c1c2a7f96fee01fae06fb266a588e88164a55b569df47445da0ea173e393106e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001039", "prompt": "What value of x satisfies -4(x - 2) - 1 = x + 107?", "solution_steps": ["Expand: -4x + 8 - 1 = x + 107", "Combine constants: -4x + 7 = x + 107", "Subtract x from both sides: -5x + 7 = 107", "Subtract 7 from both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 2) - 1 = x + 107", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": 1, \"e\": 107, \"x\": -20}", "seed": "10735524747989910717", "semantic_fingerprint": "sha256:043b4dd2bcd8056a1911deb5876694102a1faaa9500f41bf64a642c0e4930170", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001040", "prompt": "Calculate: -9 / ((30 + (-99)) / (3 + 6))", "solution_steps": ["Add: 30 + (-99) = -69", "Add: 3 + 6 = 9", "Divide: -69 / 9 = -23/3", "Divide: -9 / (-23/3) = 27/23"], "final_answer": "27/23", "answer_type": "rational", "kind": "expression", "math_text": "-9 / ((30 + (-99)) / (3 + 6))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 30, \"c\": -99, \"d\": 3, \"e\": 6}", "seed": "4842332442720465309", "semantic_fingerprint": "sha256:a3fe52e99a2e74ebf0b395f1e8eef8de458993c12f1aff195329e6ed8b881f03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001041", "prompt": "Calculate: 24 + (-682) / 70 / (-71 / 23) + 56", "solution_steps": ["Divide: -682 / 70 = -341/35", "Divide: -71 / 23 = -71/23", "Divide: (-341/35) / (-71/23) = 7843/2485", "Add: 24 + 7843/2485 = 67483/2485", "Add: 67483/2485 + 56 = 206643/2485"], "final_answer": "206643/2485", "answer_type": "rational", "kind": "expression", "math_text": "24 + (-682) / 70 / (-71 / 23) + 56", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ (/ n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -682, \"c\": 70, \"d\": -71, \"e\": 23, \"f\": 56}", "seed": "3360059327023166839", "semantic_fingerprint": "sha256:d55a4dbfd8111b4949460c95b03eb6cf8795108681733cc9427f651eef2e64ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001042", "prompt": "What value of x satisfies -5x = 5(x + 40) - 4?", "solution_steps": ["Expand: -5x = 5x + 200 - 4", "Combine constants: -5x = 5x + 196", "Subtract 5x from both sides: -10x = 196", "Divide both sides by -10: x = -98/5"], "final_answer": "-98/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 5(x + 40) - 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 40, \"d\": 4}", "seed": "8194990987068379002", "semantic_fingerprint": "sha256:02e91f2ce8fa45880f2dac61f4aa59e0f49e4896abc89517e74118fdfa85fa05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001043", "prompt": "Compute: -78 - (-828) - 826 - 10 / (-8)", "solution_steps": ["Subtract: -78 - (-828) = 750", "Subtract: 750 - 826 = -76", "Divide: 10 / (-8) = -5/4", "Subtract: -76 - (-5/4) = -299/4"], "final_answer": "-299/4", "answer_type": "rational", "kind": "expression", "math_text": "-78 - (-828) - 826 - 10 / (-8)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -828, \"c\": 826, \"d\": 10, \"e\": -8}", "seed": "15491485679452645910", "semantic_fingerprint": "sha256:833baab691db6f676d4150730cadb9744a4655c0d938cf567082e785069229ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001044", "prompt": "Calculate: (-369 - (31 + 9)) * 6", "solution_steps": ["Add: 31 + 9 = 40", "Subtract: -369 - 40 = -409", "Multiply: -409 * 6 = -2454"], "final_answer": "-2454", "answer_type": "integer", "kind": "expression", "math_text": "(-369 - (31 + 9)) * 6", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -369, \"b\": 31, \"c\": 9, \"d\": 6}", "seed": "7244406033124812504", "semantic_fingerprint": "sha256:f9f058bcef4593f589c9badce4e77b26bd5d900d56e6cb5ec25b6039820d2aa6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001045", "prompt": "What value of x satisfies 8(x + 762) - 30 = x + 422?", "solution_steps": ["Expand: 8x + 6096 - 30 = x + 422", "Combine constants: 8x + 6066 = x + 422", "Subtract x from both sides: 7x + 6066 = 422", "Subtract 6066 from both sides: 7x = -5644", "Divide both sides by 7: x = -5644/7"], "final_answer": "-5644/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 762) - 30 = x + 422", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 762, \"c\": 30, \"d\": 422}", "seed": "897131017536868784", "semantic_fingerprint": "sha256:57e3640e99a28543ea2d0cfa433397b6d397b7f5aed969a4d889a538f169cb6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001046", "prompt": "Compute: -627 / 118 * (39 / 79)", "solution_steps": ["Divide: -627 / 118 = -627/118", "Divide: 39 / 79 = 39/79", "Multiply: (-627/118) * (39/79) = -24453/9322"], "final_answer": "-24453/9322", "answer_type": "rational", "kind": "expression", "math_text": "-627 / 118 * (39 / 79)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -627, \"b\": 118, \"c\": 39, \"d\": 79}", "seed": "7538749314087753007", "semantic_fingerprint": "sha256:e1c6859de0708230c19671011bceb1d1308c00325309d76e01b72803afa3f95d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001047", "prompt": "Evaluate: -83 + (-1 / (-56) + (-691) + (5 - (-2)))", "solution_steps": ["Divide: -1 / (-56) = 1/56", "Add: 1/56 + (-691) = -38695/56", "Subtract: 5 - (-2) = 7", "Add: -38695/56 + 7 = -38303/56", "Add: -83 + (-38303/56) = -42951/56"], "final_answer": "-42951/56", "answer_type": "rational", "kind": "expression", "math_text": "-83 + (-1 / (-56) + (-691) + (5 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ (/ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -1, \"c\": -56, \"d\": -691, \"e\": 5, \"f\": -2}", "seed": "5056697890585950214", "semantic_fingerprint": "sha256:e7cd8536bd782cfbb864caaaf773196fb548b282a01bc6b059da6e83dbc1c3a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001048", "prompt": "Compute: (-91 - (55 + (-33))) / (-4 / 69)", "solution_steps": ["Add: 55 + (-33) = 22", "Subtract: -91 - 22 = -113", "Divide: -4 / 69 = -4/69", "Divide: -113 / (-4/69) = 7797/4"], "final_answer": "7797/4", "answer_type": "rational", "kind": "expression", "math_text": "(-91 - (55 + (-33))) / (-4 / 69)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 55, \"c\": -33, \"d\": -4, \"e\": 69}", "seed": "9656830985071410686", "semantic_fingerprint": "sha256:a1d0374b4612795636e1f8a03aa91cec713f984a7b64655072bf290a30e9e274", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001049", "prompt": "Solve for x: 11x - 56 = -12x - 263", "solution_steps": ["Add 12x to both sides: 23x - 56 = -263", "Add 56 to both sides: 23x = -207", "Divide both sides by 23: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 56 = -12x - 263", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 56, \"c\": -12, \"e\": -263, \"x\": -9}", "seed": "10171098861425740104", "semantic_fingerprint": "sha256:936babad43707ebabbb79524559b361b30df20b9b8262552151552099b42ca08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001050", "prompt": "What value of x satisfies 9x - 214 = -10x - 195?", "solution_steps": ["Add 10x to both sides: 19x - 214 = -195", "Add 214 to both sides: 19x = 19", "Divide both sides by 19: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 214 = -10x - 195", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 214, \"c\": -10, \"e\": -195, \"x\": 1}", "seed": "15082791253327070767", "semantic_fingerprint": "sha256:59fd85532900a8e144250e89d5ad3af2ad63996f2a9a21b889641a589d2dccf4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001051", "prompt": "Compute: 45 + (-2) + 0 + (-221 + 2)", "solution_steps": ["Add: 45 + (-2) = 43", "Add: 43 + 0 = 43", "Add: -221 + 2 = -219", "Add: 43 + (-219) = -176"], "final_answer": "-176", "answer_type": "integer", "kind": "expression", "math_text": "45 + (-2) + 0 + (-221 + 2)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -2, \"c\": 0, \"d\": -221, \"e\": 2}", "seed": "17246572974944297527", "semantic_fingerprint": "sha256:81628a6bc166a329034b32c7640315f9a8ae045acbafee319d095d4c23838e01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001052", "prompt": "What is 2 - (-886 - 57) / (-83 / (7 * (-2)))?", "solution_steps": ["Subtract: -886 - 57 = -943", "Multiply: 7 * (-2) = -14", "Divide: -83 / (-14) = 83/14", "Divide: -943 / (83/14) = -13202/83", "Subtract: 2 - (-13202/83) = 13368/83"], "final_answer": "13368/83", "answer_type": "rational", "kind": "expression", "math_text": "2 - (-886 - 57) / (-83 / (7 * (-2)))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n n) (/ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -886, \"c\": 57, \"d\": -83, \"e\": 7, \"f\": -2}", "seed": "12294005575425836140", "semantic_fingerprint": "sha256:bde3fadaffe95d79e3027efb216aa4b60f30bf21aacabdf2e6abf300604a8eb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001053", "prompt": "Find x: 6x = -7(x + 8) - 2", "solution_steps": ["Expand: 6x = -7x - 56 - 2", "Combine constants: 6x = -7x - 58", "Add 7x to both sides: 13x = -58", "Divide both sides by 13: x = -58/13"], "final_answer": "-58/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = -7(x + 8) - 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": 8, \"d\": 2}", "seed": "17305385938454611086", "semantic_fingerprint": "sha256:465eaed9841a7aea9d92272e0305c548c5edbe63f80e06c895b74f3c20bc5fee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001054", "prompt": "Compute: 3 - 25 * (-5 / 485)", "solution_steps": ["Divide: -5 / 485 = -1/97", "Multiply: 25 * (-1/97) = -25/97", "Subtract: 3 - (-25/97) = 316/97"], "final_answer": "316/97", "answer_type": "rational", "kind": "expression", "math_text": "3 - 25 * (-5 / 485)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25, \"c\": -5, \"d\": 485}", "seed": "11640395317866572983", "semantic_fingerprint": "sha256:2a087c76850cf98872c612d8e6ef94c2df72f024e96132af1957cabf1063cbcf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001055", "prompt": "Evaluate: 24 / ((8 - (-5) + (-8)) / (-97))", "solution_steps": ["Subtract: 8 - (-5) = 13", "Add: 13 + (-8) = 5", "Divide: 5 / (-97) = -5/97", "Divide: 24 / (-5/97) = -2328/5"], "final_answer": "-2328/5", "answer_type": "rational", "kind": "expression", "math_text": "24 / ((8 - (-5) + (-8)) / (-97))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (+ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 8, \"c\": -5, \"d\": -8, \"e\": -97}", "seed": "5133005331673760120", "semantic_fingerprint": "sha256:1596cc7de5af609f34974627c91890a7069457d206066cfb8f147bbc72d9dfaa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001056", "prompt": "Solve the equation 6x = 2(x + 404) - 594 for x.", "solution_steps": ["Expand: 6x = 2x + 808 - 594", "Combine constants: 6x = 2x + 214", "Subtract 2x from both sides: 4x = 214", "Divide both sides by 4: x = 107/2"], "final_answer": "107/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 2(x + 404) - 594", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 404, \"d\": 594}", "seed": "13193386617201613796", "semantic_fingerprint": "sha256:2188df991d113f4ec868c6caf48692abd3c65e411811f4913b6cdcb0b370cb07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001057", "prompt": "What value of x satisfies -7x - 998 = -5x - 978?", "solution_steps": ["Add 5x to both sides: -2x - 998 = -978", "Add 998 to both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 998 = -5x - 978", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 998, \"c\": -5, \"e\": -978, \"x\": -10}", "seed": "7502270127799874110", "semantic_fingerprint": "sha256:311aa2360483b006edc0aa73bf96782d595054b6c70b0ac87ec664ecce36f24e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001058", "prompt": "Calculate: 631 * (5 / (-212)) + (-85 * 0 - 0)", "solution_steps": ["Divide: 5 / (-212) = -5/212", "Multiply: 631 * (-5/212) = -3155/212", "Multiply: -85 * 0 = 0", "Subtract: 0 - 0 = 0", "Add: -3155/212 + 0 = -3155/212"], "final_answer": "-3155/212", "answer_type": "rational", "kind": "expression", "math_text": "631 * (5 / (-212)) + (-85 * 0 - 0)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 631, \"b\": 5, \"c\": -212, \"d\": -85, \"e\": 0, \"f\": 0}", "seed": "1453903391397445458", "semantic_fingerprint": "sha256:3fb615c242293a0ed98c62578224622c5d5f75ba4e3ae00249c24b2283526ad8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001059", "prompt": "Compute: (0 / (-327) - (-83)) * (509 - 1)", "solution_steps": ["Divide: 0 / (-327) = 0", "Subtract: 0 - (-83) = 83", "Subtract: 509 - 1 = 508", "Multiply: 83 * 508 = 42164"], "final_answer": "42164", "answer_type": "integer", "kind": "expression", "math_text": "(0 / (-327) - (-83)) * (509 - 1)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -327, \"c\": -83, \"d\": 509, \"e\": 1}", "seed": "9827169253418153405", "semantic_fingerprint": "sha256:5ef6311d4b38235c852dc17e695ee016f042f8d8b76263abe931a8d5b77bdc7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001060", "prompt": "What value of x satisfies 6(x + 95) - 7 = x + 643?", "solution_steps": ["Expand: 6x + 570 - 7 = x + 643", "Combine constants: 6x + 563 = x + 643", "Subtract x from both sides: 5x + 563 = 643", "Subtract 563 from both sides: 5x = 80", "Divide both sides by 5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 95) - 7 = x + 643", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 95, \"c\": 7, \"e\": 643, \"x\": 16}", "seed": "16281357773385128225", "semantic_fingerprint": "sha256:1948e2d243453a0aa7eb4711f141a18380ab0d831bbfb18166fd2fb3f06feba2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001061", "prompt": "Solve the equation -2(x + 2) = 10(x - 38) + 472 for x.", "solution_steps": ["Expand: -2x - 4 = 10(x - 38) + 472", "Expand: -2x - 4 = 10x - 380 + 472", "Combine constants: -2x - 4 = 10x + 92", "Subtract 10x from both sides: -12x - 4 = 92", "Add 4 to both sides: -12x = 96", "Divide both sides by -12: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 2) = 10(x - 38) + 472", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 10, \"d\": 38, \"f\": 472, \"x\": -8}", "seed": "11602861825493691604", "semantic_fingerprint": "sha256:e07ae9dacb81254de12b8cb73b12d0414923468c7e6fe8c9c859eaea1e3ac799", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001062", "prompt": "Compute: -1 - 529 / 2 + (-9) / (-612)", "solution_steps": ["Divide: 529 / 2 = 529/2", "Subtract: -1 - 529/2 = -531/2", "Divide: -9 / (-612) = 1/68", "Add: -531/2 + 1/68 = -18053/68"], "final_answer": "-18053/68", "answer_type": "rational", "kind": "expression", "math_text": "-1 - 529 / 2 + (-9) / (-612)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 529, \"c\": 2, \"d\": -9, \"e\": -612}", "seed": "14499567301716215033", "semantic_fingerprint": "sha256:c11b15cdce7cafd37ffd9cff6eac24604912ca09b5392f09a4f440e508ab65a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001063", "prompt": "Calculate: 527 * (-6) + 33 + 5", "solution_steps": ["Multiply: 527 * (-6) = -3162", "Add: -3162 + 33 = -3129", "Add: -3129 + 5 = -3124"], "final_answer": "-3124", "answer_type": "integer", "kind": "expression", "math_text": "527 * (-6) + 33 + 5", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 527, \"b\": -6, \"c\": 33, \"d\": 5}", "seed": "12609965601376428485", "semantic_fingerprint": "sha256:eff7c00595cff584ea0611e31c11ac361777747d48ba773610db150f079cf3fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001064", "prompt": "Evaluate: -4 * (-5 * 2) * 5", "solution_steps": ["Multiply: -5 * 2 = -10", "Multiply: -4 * (-10) = 40", "Multiply: 40 * 5 = 200"], "final_answer": "200", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-5 * 2) * 5", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -5, \"c\": 2, \"d\": 5}", "seed": "10769284930622830925", "semantic_fingerprint": "sha256:63fe14c878c6770f42af8318faf090034c7bd401c32f3b4fe9f139c1f2c85445", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001065", "prompt": "What value of x satisfies 9(x + 7) + 73 = x + 1?", "solution_steps": ["Expand: 9x + 63 + 73 = x + 1", "Combine constants: 9x + 136 = x + 1", "Subtract x from both sides: 8x + 136 = 1", "Subtract 136 from both sides: 8x = -135", "Divide both sides by 8: x = -135/8"], "final_answer": "-135/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 7) + 73 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 73, \"d\": 1}", "seed": "8319984550620545055", "semantic_fingerprint": "sha256:c3770d248a30062ff706ce608cb06ac18e1b5e9b50d35c73f47bd34cba68e325", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001066", "prompt": "Solve the equation 7x = -7(x + 85) + 763 for x.", "solution_steps": ["Expand: 7x = -7x - 595 + 763", "Combine constants: 7x = -7x + 168", "Add 7x to both sides: 14x = 168", "Divide both sides by 14: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -7(x + 85) + 763", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"c\": 85, \"e\": 763, \"x\": 12}", "seed": "3621116747434314810", "semantic_fingerprint": "sha256:d65a93e1cffbb9eed0af1b9801fd7fde6d4ac726b4182c583bcee95653ee92ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001067", "prompt": "Calculate: -243 - 8 / (-48) + 82 / 3", "solution_steps": ["Divide: 8 / (-48) = -1/6", "Subtract: -243 - (-1/6) = -1457/6", "Divide: 82 / 3 = 82/3", "Add: -1457/6 + 82/3 = -431/2"], "final_answer": "-431/2", "answer_type": "rational", "kind": "expression", "math_text": "-243 - 8 / (-48) + 82 / 3", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -243, \"b\": 8, \"c\": -48, \"d\": 82, \"e\": 3}", "seed": "5752819214765619868", "semantic_fingerprint": "sha256:0b7168015a3232246f3e030e862ebd3b2406f0da62c2e27632045ec4baedbac1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001068", "prompt": "Find x: 4x = 8(x + 82) - 608", "solution_steps": ["Expand: 4x = 8x + 656 - 608", "Combine constants: 4x = 8x + 48", "Subtract 8x from both sides: -4x = 48", "Divide both sides by -4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 8(x + 82) - 608", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 82, \"e\": -608, \"x\": -12}", "seed": "7945408549059933396", "semantic_fingerprint": "sha256:30b2282ec6e821166e16f42c4e09049f3d502271ebd1e7ba31ad12bc7c3d050c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001069", "prompt": "Solve for x: -4(x + 7) - 20 = x + 12", "solution_steps": ["Expand: -4x - 28 - 20 = x + 12", "Combine constants: -4x - 48 = x + 12", "Subtract x from both sides: -5x - 48 = 12", "Add 48 to both sides: -5x = 60", "Divide both sides by -5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 7) - 20 = x + 12", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 20, \"e\": 12, \"x\": -12}", "seed": "16617663979277707676", "semantic_fingerprint": "sha256:ccce7dfed917c1c572495c622cafb2948b67de8e5f7ae0588fd444f54b28192b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001070", "prompt": "Calculate: 784 - (2 / 26 - 13 * (94 + (-7)))", "solution_steps": ["Divide: 2 / 26 = 1/13", "Add: 94 + (-7) = 87", "Multiply: 13 * 87 = 1131", "Subtract: 1/13 - 1131 = -14702/13", "Subtract: 784 - (-14702/13) = 24894/13"], "final_answer": "24894/13", "answer_type": "rational", "kind": "expression", "math_text": "784 - (2 / 26 - 13 * (94 + (-7)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ n n) (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 784, \"b\": 2, \"c\": 26, \"d\": 13, \"e\": 94, \"f\": -7}", "seed": "14602117512615981383", "semantic_fingerprint": "sha256:4b92cbd6034c8ad5ed36668633251c19bbe8d47468e7aa3dec51b75cd9b4d664", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001071", "prompt": "What is (701 - (-6 + 3)) * 58?", "solution_steps": ["Add: -6 + 3 = -3", "Subtract: 701 - (-3) = 704", "Multiply: 704 * 58 = 40832"], "final_answer": "40832", "answer_type": "integer", "kind": "expression", "math_text": "(701 - (-6 + 3)) * 58", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 701, \"b\": -6, \"c\": 3, \"d\": 58}", "seed": "3721334679418924602", "semantic_fingerprint": "sha256:f16326fe9a3d6cdd84713a9a02d4d50ed39ae18b0f065bc08aef8a7220cecea2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001072", "prompt": "What value of x satisfies 5x = -4(x + 20) - 28?", "solution_steps": ["Expand: 5x = -4x - 80 - 28", "Combine constants: 5x = -4x - 108", "Add 4x to both sides: 9x = -108", "Divide both sides by 9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -4(x + 20) - 28", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": 20, \"e\": -28, \"x\": -12}", "seed": "8700805500406944760", "semantic_fingerprint": "sha256:7f627ed94bf222d0d416d7b9c9b579d03477d98f6abea941091b87e324f37784", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001073", "prompt": "Compute: (-2 + (-90)) / 5 + (-95)", "solution_steps": ["Add: -2 + (-90) = -92", "Divide: -92 / 5 = -92/5", "Add: -92/5 + (-95) = -567/5"], "final_answer": "-567/5", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + (-90)) / 5 + (-95)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -90, \"c\": 5, \"d\": -95}", "seed": "1057048994761683249", "semantic_fingerprint": "sha256:b0b0709d43f266343ea74b0f70d306efca84e10d2ceb595ed70963b6fd8873de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001074", "prompt": "Solve the equation 2(x + 62) = 7(x - 69) + 652 for x.", "solution_steps": ["Expand: 2x + 124 = 7(x - 69) + 652", "Expand: 2x + 124 = 7x - 483 + 652", "Combine constants: 2x + 124 = 7x + 169", "Subtract 7x from both sides: -5x + 124 = 169", "Subtract 124 from both sides: -5x = 45", "Divide both sides by -5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 62) = 7(x - 69) + 652", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 62, \"c\": 7, \"d\": 69, \"f\": 652, \"x\": -9}", "seed": "17369200675148244212", "semantic_fingerprint": "sha256:4b8479ef0f1539dd0219634fd5a2413d860d7c2fc782d6469bb91b6ce5f49273", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001075", "prompt": "Evaluate: -9 / (-2 / 677) + (-220)", "solution_steps": ["Divide: -2 / 677 = -2/677", "Divide: -9 / (-2/677) = 6093/2", "Add: 6093/2 + (-220) = 5653/2"], "final_answer": "5653/2", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-2 / 677) + (-220)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": 677, \"d\": -220}", "seed": "6805179077948497919", "semantic_fingerprint": "sha256:7e5c22b85b9182341c01c7c9bc4d6e23a7fbc5ef49cee4c2e7a17031c8c00a85", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001076", "prompt": "Compute: -4 + (-789 - (-3) * 0 - 0 / (-43))", "solution_steps": ["Multiply: -3 * 0 = 0", "Subtract: -789 - 0 = -789", "Divide: 0 / (-43) = 0", "Subtract: -789 - 0 = -789", "Add: -4 + (-789) = -793"], "final_answer": "-793", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-789 - (-3) * 0 - 0 / (-43))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- n (* n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -789, \"c\": -3, \"d\": 0, \"e\": 0, \"f\": -43}", "seed": "3428450397086837149", "semantic_fingerprint": "sha256:c1492be470ce9f7c097c3c04aa11bf9389f4f91bd2c14ad095f3a1d31d843d5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001077", "prompt": "Compute: (24 + (-450)) / (7 + (-70))", "solution_steps": ["Add: 24 + (-450) = -426", "Add: 7 + (-70) = -63", "Divide: -426 / (-63) = 142/21"], "final_answer": "142/21", "answer_type": "rational", "kind": "expression", "math_text": "(24 + (-450)) / (7 + (-70))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -450, \"c\": 7, \"d\": -70}", "seed": "16005912503268218751", "semantic_fingerprint": "sha256:3fb35b4d80aed3fda59ddb9bcef2dc60c1ac64bd2b5419fa84c7cee3182bccda", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001078", "prompt": "Solve the equation 8(x - 69) + 2 = 12(x + 67) for x.", "solution_steps": ["Expand: 8x - 552 + 2 = 12(x + 67)", "Expand: 8x - 552 + 2 = 12x + 804", "Combine constants: 8x - 550 = 12x + 804", "Subtract 12x from both sides: -4x - 550 = 804", "Add 550 to both sides: -4x = 1354", "Divide both sides by -4: x = -677/2"], "final_answer": "-677/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 69) + 2 = 12(x + 67)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 69, \"c\": 2, \"d\": 12, \"e\": 67}", "seed": "15227560251737022526", "semantic_fingerprint": "sha256:b4cffac110b56c0773c06a8a69f027b41b7fe2d6f1786062ba508563802c64ec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001079", "prompt": "Find x: 9(x + 61) = 7(x - 19) + 642", "solution_steps": ["Expand: 9x + 549 = 7(x - 19) + 642", "Expand: 9x + 549 = 7x - 133 + 642", "Combine constants: 9x + 549 = 7x + 509", "Subtract 7x from both sides: 2x + 549 = 509", "Subtract 549 from both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 61) = 7(x - 19) + 642", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 61, \"c\": 7, \"d\": 19, \"f\": 642, \"x\": -20}", "seed": "3670785838269504803", "semantic_fingerprint": "sha256:f24afb59fa03823cdc2b95ef33c4c191ab4d6255218737dda6a9c8a89d002ac4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001080", "prompt": "Calculate: 8 + (-18 + (-780) * (-978)) + (-7) * 3", "solution_steps": ["Multiply: -780 * (-978) = 762840", "Add: -18 + 762840 = 762822", "Add: 8 + 762822 = 762830", "Multiply: -7 * 3 = -21", "Add: 762830 + (-21) = 762809"], "final_answer": "762809", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-18 + (-780) * (-978)) + (-7) * 3", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n (* n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -18, \"c\": -780, \"d\": -978, \"e\": -7, \"f\": 3}", "seed": "5655650971868679469", "semantic_fingerprint": "sha256:f11e44049ea1c9bd64f7944ecf2a15f18c6d6256e1d5633e11d55e3521f45322", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001081", "prompt": "What value of x satisfies -11x - 621 = 7(x - 45)?", "solution_steps": ["Expand: -11x - 621 = 7x - 315", "Subtract 7x from both sides: -18x - 621 = -315", "Add 621 to both sides: -18x = 306", "Divide both sides by -18: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 621 = 7(x - 45)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 45, \"e\": -621, \"x\": -17}", "seed": "13776284823495182160", "semantic_fingerprint": "sha256:be87946a6178ed3c5d8a3dbca092c8840595239a2b8d4eedbd65bc5af48ccd18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001082", "prompt": "What value of x satisfies 4x = -12(x + 73) + 988?", "solution_steps": ["Expand: 4x = -12x - 876 + 988", "Combine constants: 4x = -12x + 112", "Add 12x to both sides: 16x = 112", "Divide both sides by 16: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -12(x + 73) + 988", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -12, \"c\": 73, \"e\": 988, \"x\": 7}", "seed": "14121120949880514212", "semantic_fingerprint": "sha256:f5ad351b6640bb12abf42051f97c8c81c456e134d4adff10f34c4704285d6cd9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001083", "prompt": "Solve for x: 2x - 505 = -6x - 449", "solution_steps": ["Add 6x to both sides: 8x - 505 = -449", "Add 505 to both sides: 8x = 56", "Divide both sides by 8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 505 = -6x - 449", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 505, \"c\": -6, \"e\": -449, \"x\": 7}", "seed": "2395975272653114796", "semantic_fingerprint": "sha256:a5136a902d9d7980105ce788cfa1b4bf3ace3647b99d93d45f86e36e76963f74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001084", "prompt": "Solve for x: 8x = 4(x + 67) - 47", "solution_steps": ["Expand: 8x = 4x + 268 - 47", "Combine constants: 8x = 4x + 221", "Subtract 4x from both sides: 4x = 221", "Divide both sides by 4: x = 221/4"], "final_answer": "221/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 4(x + 67) - 47", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 67, \"d\": 47}", "seed": "4651462973630844567", "semantic_fingerprint": "sha256:09fd707fee83502fd80b26f7b462550be2eb0e104a901ebd2fb4ac17f593eeaf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001085", "prompt": "Solve the equation -6x = 9(x + 62) - 333 for x.", "solution_steps": ["Expand: -6x = 9x + 558 - 333", "Combine constants: -6x = 9x + 225", "Subtract 9x from both sides: -15x = 225", "Divide both sides by -15: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 9(x + 62) - 333", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 62, \"e\": -333, \"x\": -15}", "seed": "11611396649375835669", "semantic_fingerprint": "sha256:f0df56f87dfd3bd10802f825087694e9fc2d9c7b0bd898be4fbd360510aa5fdc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001086", "prompt": "Find x: -12(x + 528) + 10 = x + 413", "solution_steps": ["Expand: -12x - 6336 + 10 = x + 413", "Combine constants: -12x - 6326 = x + 413", "Subtract x from both sides: -13x - 6326 = 413", "Add 6326 to both sides: -13x = 6739", "Divide both sides by -13: x = -6739/13"], "final_answer": "-6739/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 528) + 10 = x + 413", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 528, \"c\": 10, \"d\": 413}", "seed": "6676580160122028376", "semantic_fingerprint": "sha256:b871f4d223516f1a96e0197f3aa950d4553250f4db089a86a7050916ed1d3ae3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001087", "prompt": "Evaluate: 40 + (-336) + (-6) - (55 + 163)", "solution_steps": ["Add: 40 + (-336) = -296", "Add: -296 + (-6) = -302", "Add: 55 + 163 = 218", "Subtract: -302 - 218 = -520"], "final_answer": "-520", "answer_type": "integer", "kind": "expression", "math_text": "40 + (-336) + (-6) - (55 + 163)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -336, \"c\": -6, \"d\": 55, \"e\": 163}", "seed": "11403887686014217990", "semantic_fingerprint": "sha256:e8d2135754fb7f74c47f867fa0550c0d97339f8641b77cbb4b0d47c0a607c4b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001088", "prompt": "What value of x satisfies 10x - 202 = 7(x - 31)?", "solution_steps": ["Expand: 10x - 202 = 7x - 217", "Subtract 7x from both sides: 3x - 202 = -217", "Add 202 to both sides: 3x = -15", "Divide both sides by 3: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 202 = 7(x - 31)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 31, \"e\": -202, \"x\": -5}", "seed": "10048078942186068527", "semantic_fingerprint": "sha256:26b8e036ca842aa443405d6a96fe8a4e537179f3e89909227dbbcb3a34c28f7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001089", "prompt": "What is 30 * (-87 / (-2 / (-26 - (-502))))?", "solution_steps": ["Subtract: -26 - (-502) = 476", "Divide: -2 / 476 = -1/238", "Divide: -87 / (-1/238) = 20706", "Multiply: 30 * 20706 = 621180"], "final_answer": "621180", "answer_type": "integer", "kind": "expression", "math_text": "30 * (-87 / (-2 / (-26 - (-502))))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -87, \"c\": -2, \"d\": -26, \"e\": -502}", "seed": "17661034865116122468", "semantic_fingerprint": "sha256:81cc1f4a27bb0d7329551832a7ebc6590c5e42cd54b6bc03950423a6664021ec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001090", "prompt": "Solve the equation 4(x + 3) - 390 = x + 33 for x.", "solution_steps": ["Expand: 4x + 12 - 390 = x + 33", "Combine constants: 4x - 378 = x + 33", "Subtract x from both sides: 3x - 378 = 33", "Add 378 to both sides: 3x = 411", "Divide both sides by 3: x = 137"], "final_answer": "137", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 3) - 390 = x + 33", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 390, \"d\": 33}", "seed": "9062188616150743854", "semantic_fingerprint": "sha256:4ae347f75344772f039ba80961969abfcedddf22e0c38da86734fd554580cfff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001091", "prompt": "Solve the equation 3x - 471 = 11(x - 45) for x.", "solution_steps": ["Expand: 3x - 471 = 11x - 495", "Subtract 11x from both sides: -8x - 471 = -495", "Add 471 to both sides: -8x = -24", "Divide both sides by -8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 471 = 11(x - 45)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11, \"c\": 45, \"e\": -471, \"x\": 3}", "seed": "10986794117682562780", "semantic_fingerprint": "sha256:473354d68b4630c8be4ab5dbfd696b319b5a4e34ff037ca08bbc4ef259616e6c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001092", "prompt": "Compute: 56 * (-705) * (0 * (0 + (-17)))", "solution_steps": ["Multiply: 56 * (-705) = -39480", "Add: 0 + (-17) = -17", "Multiply: 0 * (-17) = 0", "Multiply: -39480 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "56 * (-705) * (0 * (0 + (-17)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -705, \"c\": 0, \"d\": 0, \"e\": -17}", "seed": "7386679826128490189", "semantic_fingerprint": "sha256:b563cead0dc2a74b8e9969c84efdd35553d19e3b22726b519b72d9a9a67d4caa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001093", "prompt": "What value of x satisfies 9(x - 3) - 3 = x + 106?", "solution_steps": ["Expand: 9x - 27 - 3 = x + 106", "Combine constants: 9x - 30 = x + 106", "Subtract x from both sides: 8x - 30 = 106", "Add 30 to both sides: 8x = 136", "Divide both sides by 8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) - 3 = x + 106", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 3, \"e\": 106, \"x\": 17}", "seed": "4851544315876737056", "semantic_fingerprint": "sha256:d5a2cf5f19cf2d1f2f55adcf45b70f4489863eabda1f984311f0be11db5569a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001094", "prompt": "Solve the equation 5x - 897 = 6x - 880 for x.", "solution_steps": ["Subtract 6x from both sides: -x - 897 = -880", "Add 897 to both sides: -x = 17", "Divide both sides by -1: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 897 = 6x - 880", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 897, \"c\": 6, \"e\": -880, \"x\": -17}", "seed": "302824378047322272", "semantic_fingerprint": "sha256:6a55f1035cd3d71ccdf3b6bd1196202cf5523a73c2029ba0c3a9a7b12cde1f71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001095", "prompt": "Calculate: 485 / 1 * 0 * (610 / 430) - (-932)", "solution_steps": ["Divide: 485 / 1 = 485", "Multiply: 485 * 0 = 0", "Divide: 610 / 430 = 61/43", "Multiply: 0 * (61/43) = 0", "Subtract: 0 - (-932) = 932"], "final_answer": "932", "answer_type": "integer", "kind": "expression", "math_text": "485 / 1 * 0 * (610 / 430) - (-932)", "variable": null, "family": "expression_5op", "shape": "(- (* (* (/ n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 485, \"b\": 1, \"c\": 0, \"d\": 610, \"e\": 430, \"f\": -932}", "seed": "5348936291842838043", "semantic_fingerprint": "sha256:e8534adf43298f2173275f1fe84df12147bdcd274ec60efd47170ec57f913def", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001096", "prompt": "Calculate: (-5 - (-99)) / (-6 + (1 + 96)) / 39", "solution_steps": ["Subtract: -5 - (-99) = 94", "Add: 1 + 96 = 97", "Add: -6 + 97 = 91", "Divide: 94 / 91 = 94/91", "Divide: (94/91) / 39 = 94/3549"], "final_answer": "94/3549", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-99)) / (-6 + (1 + 96)) / 39", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -99, \"c\": -6, \"d\": 1, \"e\": 96, \"f\": 39}", "seed": "13435639130462395040", "semantic_fingerprint": "sha256:9377692eaf88000b2c1e83697a2a32dc7dbfd83f0b55dc90845a97f50c873629", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001097", "prompt": "What value of x satisfies 9(x - 6) + 237 = 6(x + 23)?", "solution_steps": ["Expand: 9x - 54 + 237 = 6(x + 23)", "Expand: 9x - 54 + 237 = 6x + 138", "Combine constants: 9x + 183 = 6x + 138", "Subtract 6x from both sides: 3x + 183 = 138", "Subtract 183 from both sides: 3x = -45", "Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 6) + 237 = 6(x + 23)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 6, \"d\": 23, \"f\": 237, \"x\": -15}", "seed": "10674417087310595987", "semantic_fingerprint": "sha256:5014dbfaf965ed0ce9ca03d12a164670b079bc521b7b5e97445e03b875240496", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001098", "prompt": "Calculate: -475 / (-405) * (51 / (-1))", "solution_steps": ["Divide: -475 / (-405) = 95/81", "Divide: 51 / (-1) = -51", "Multiply: (95/81) * (-51) = -1615/27"], "final_answer": "-1615/27", "answer_type": "rational", "kind": "expression", "math_text": "-475 / (-405) * (51 / (-1))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -475, \"b\": -405, \"c\": 51, \"d\": -1}", "seed": "8482045956606284574", "semantic_fingerprint": "sha256:557ee891cc9c38c01aed02febd90b058dd01f13893c70a183b1abe6918d29ff2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001099", "prompt": "What value of x satisfies 10(x + 54) - 93 = x + 312?", "solution_steps": ["Expand: 10x + 540 - 93 = x + 312", "Combine constants: 10x + 447 = x + 312", "Subtract x from both sides: 9x + 447 = 312", "Subtract 447 from both sides: 9x = -135", "Divide both sides by 9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 54) - 93 = x + 312", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 54, \"c\": 93, \"e\": 312, \"x\": -15}", "seed": "12056807958358997609", "semantic_fingerprint": "sha256:69f23a845a8ae8d6075e92b40d8d13dc0984c21ca2b83ffbdb70fd7bc8ced90a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001100", "prompt": "What is -50 - 6 - (-2) * (78 + (-6))?", "solution_steps": ["Subtract: -50 - 6 = -56", "Add: 78 + (-6) = 72", "Multiply: -2 * 72 = -144", "Subtract: -56 - (-144) = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "-50 - 6 - (-2) * (78 + (-6))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 6, \"c\": -2, \"d\": 78, \"e\": -6}", "seed": "898461593609003469", "semantic_fingerprint": "sha256:7c5c30715ca770611353073fbd49101361e0f0990d596e1ca2bd665aeaae30e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001101", "prompt": "What is (-7 + 995 + (-702) * 2) * (74 - 74)?", "solution_steps": ["Add: -7 + 995 = 988", "Multiply: -702 * 2 = -1404", "Add: 988 + (-1404) = -416", "Subtract: 74 - 74 = 0", "Multiply: -416 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-7 + 995 + (-702) * 2) * (74 - 74)", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 995, \"c\": -702, \"d\": 2, \"e\": 74, \"f\": 74}", "seed": "3666946386377885793", "semantic_fingerprint": "sha256:84af8e18ffe5e697340f3f5cbaba7bf04b54942cc4a028b5386fb4f7334593cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001102", "prompt": "What is -630 * (-44) * (4 / (8 - 53))?", "solution_steps": ["Multiply: -630 * (-44) = 27720", "Subtract: 8 - 53 = -45", "Divide: 4 / (-45) = -4/45", "Multiply: 27720 * (-4/45) = -2464"], "final_answer": "-2464", "answer_type": "integer", "kind": "expression", "math_text": "-630 * (-44) * (4 / (8 - 53))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -630, \"b\": -44, \"c\": 4, \"d\": 8, \"e\": 53}", "seed": "15688102604820949658", "semantic_fingerprint": "sha256:e2cd3881f35b84bde9305ef3c0d594731823fec3a23421d292a6eeb7c652d8da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001103", "prompt": "Compute: -1 * 1 + (57 - 957) + 167 - 694", "solution_steps": ["Multiply: -1 * 1 = -1", "Subtract: 57 - 957 = -900", "Add: -1 + (-900) = -901", "Add: -901 + 167 = -734", "Subtract: -734 - 694 = -1428"], "final_answer": "-1428", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 1 + (57 - 957) + 167 - 694", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ (* n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 1, \"c\": 57, \"d\": 957, \"e\": 167, \"f\": 694}", "seed": "10954654106884513956", "semantic_fingerprint": "sha256:77af99f807efab62e464e8646e9bec6172a920469e423313aa416294d471fb49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001104", "prompt": "Solve the equation -3x - 967 = 10(x - 85) for x.", "solution_steps": ["Expand: -3x - 967 = 10x - 850", "Subtract 10x from both sides: -13x - 967 = -850", "Add 967 to both sides: -13x = 117", "Divide both sides by -13: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 967 = 10(x - 85)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 10, \"c\": 85, \"e\": -967, \"x\": -9}", "seed": "13566562988830803867", "semantic_fingerprint": "sha256:f98425fc952f43490d3efdca9da7751a52df9c2b86fb65f0b636fede0db73a69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001105", "prompt": "Evaluate: 172 * (-8) / (-2) + 5 + (-1)", "solution_steps": ["Multiply: 172 * (-8) = -1376", "Divide: -1376 / (-2) = 688", "Add: 688 + 5 = 693", "Add: 693 + (-1) = 692"], "final_answer": "692", "answer_type": "integer", "kind": "expression", "math_text": "172 * (-8) / (-2) + 5 + (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 172, \"b\": -8, \"c\": -2, \"d\": 5, \"e\": -1}", "seed": "10522628729871249936", "semantic_fingerprint": "sha256:79b96620c7054a4a2b1ae25547fd380cf97401c62791a2a135f7939cdb6e9ede", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001106", "prompt": "Solve the equation -4(x + 5) + 744 = x + 69 for x.", "solution_steps": ["Expand: -4x - 20 + 744 = x + 69", "Combine constants: -4x + 724 = x + 69", "Subtract x from both sides: -5x + 724 = 69", "Subtract 724 from both sides: -5x = -655", "Divide both sides by -5: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 5) + 744 = x + 69", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 744, \"d\": 69}", "seed": "16629017493489896117", "semantic_fingerprint": "sha256:db56ad21a5d453835f73e48e034dc9aa5a4e0f96c294326a0d73ce80fe9b2692", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001107", "prompt": "Compute: 3 + 187 + (92 - (-779 - (-545) + 919))", "solution_steps": ["Add: 3 + 187 = 190", "Subtract: -779 - (-545) = -234", "Add: -234 + 919 = 685", "Subtract: 92 - 685 = -593", "Add: 190 + (-593) = -403"], "final_answer": "-403", "answer_type": "integer", "kind": "expression", "math_text": "3 + 187 + (92 - (-779 - (-545) + 919))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 187, \"c\": 92, \"d\": -779, \"e\": -545, \"f\": 919}", "seed": "111141306142137104", "semantic_fingerprint": "sha256:0fdfe0e08565077ea4beb0328b02b02f281842b22f5e5d7ada554f3df5a7c19f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001108", "prompt": "What is 13 / (-98) * (9 / (-34))?", "solution_steps": ["Divide: 13 / (-98) = -13/98", "Divide: 9 / (-34) = -9/34", "Multiply: (-13/98) * (-9/34) = 117/3332"], "final_answer": "117/3332", "answer_type": "rational", "kind": "expression", "math_text": "13 / (-98) * (9 / (-34))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -98, \"c\": 9, \"d\": -34}", "seed": "16848801688944895863", "semantic_fingerprint": "sha256:9fa18fb8d4d0c1ca0a46e695e7328cf9f177bb77d8cbcf8ad6164571b3d942a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001109", "prompt": "Solve for x: -6x = 11(x + 3) + 154", "solution_steps": ["Expand: -6x = 11x + 33 + 154", "Combine constants: -6x = 11x + 187", "Subtract 11x from both sides: -17x = 187", "Divide both sides by -17: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 11(x + 3) + 154", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 11, \"c\": 3, \"e\": 154, \"x\": -11}", "seed": "4914652632234916185", "semantic_fingerprint": "sha256:1eada5bd128af954cfa5f5ccf1d02b5a7fbbbe6417ce5c8f0dccf21814d25630", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001110", "prompt": "Solve for x: 3x - 765 = 2(x - 384)", "solution_steps": ["Expand: 3x - 765 = 2x - 768", "Subtract 2x from both sides: x - 765 = -768", "Add 765 to both sides: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 765 = 2(x - 384)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 384, \"e\": -765, \"x\": -3}", "seed": "17237867139173632909", "semantic_fingerprint": "sha256:de20cb20a90ffda39b1ffbab3f64b165b701145d517c1e6e0d2a7ebbb5bfb2f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001111", "prompt": "Compute: (994 + 10 + 4) * (978 - 2)", "solution_steps": ["Add: 994 + 10 = 1004", "Add: 1004 + 4 = 1008", "Subtract: 978 - 2 = 976", "Multiply: 1008 * 976 = 983808"], "final_answer": "983808", "answer_type": "integer", "kind": "expression", "math_text": "(994 + 10 + 4) * (978 - 2)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 994, \"b\": 10, \"c\": 4, \"d\": 978, \"e\": 2}", "seed": "5472423116530224191", "semantic_fingerprint": "sha256:85fa9db74d33d50db01ce7824e8903983ca21a1bd8aed9e1cd3e89eb7c6de599", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001112", "prompt": "Find x: -5x - 74 = 11(x - 14)", "solution_steps": ["Expand: -5x - 74 = 11x - 154", "Subtract 11x from both sides: -16x - 74 = -154", "Add 74 to both sides: -16x = -80", "Divide both sides by -16: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 74 = 11(x - 14)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 11, \"c\": 14, \"e\": -74, \"x\": 5}", "seed": "3229424292142020169", "semantic_fingerprint": "sha256:fca4e450c1d5d92261e627f615aa04cfc965d4a7963febe4f7941ebcd6dd0296", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001113", "prompt": "What is -21 * 0 - 76 / (53 + 8)?", "solution_steps": ["Multiply: -21 * 0 = 0", "Add: 53 + 8 = 61", "Divide: 76 / 61 = 76/61", "Subtract: 0 - 76/61 = -76/61"], "final_answer": "-76/61", "answer_type": "rational", "kind": "expression", "math_text": "-21 * 0 - 76 / (53 + 8)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 0, \"c\": 76, \"d\": 53, \"e\": 8}", "seed": "4230032000004636526", "semantic_fingerprint": "sha256:a25118d9fd0c4e2d75f1874dc31c79d862f995d85311e58f838165231ad8ab1f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001114", "prompt": "Calculate: -85 * 6 * (21 / (-12))", "solution_steps": ["Multiply: -85 * 6 = -510", "Divide: 21 / (-12) = -7/4", "Multiply: -510 * (-7/4) = 1785/2"], "final_answer": "1785/2", "answer_type": "rational", "kind": "expression", "math_text": "-85 * 6 * (21 / (-12))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 6, \"c\": 21, \"d\": -12}", "seed": "1725999353345327817", "semantic_fingerprint": "sha256:09c0e5d07375758e1f2aa3243209a1c03ef09c2925246871b515e5ff56203da7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001115", "prompt": "Compute: 920 - 78 / 8 - (-5)", "solution_steps": ["Divide: 78 / 8 = 39/4", "Subtract: 920 - 39/4 = 3641/4", "Subtract: 3641/4 - (-5) = 3661/4"], "final_answer": "3661/4", "answer_type": "rational", "kind": "expression", "math_text": "920 - 78 / 8 - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 920, \"b\": 78, \"c\": 8, \"d\": -5}", "seed": "16669647945817512300", "semantic_fingerprint": "sha256:934254590b0662ffa362c19c41858ab0a0435e599d72985ddf6cc4d2c0eb3ca0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001116", "prompt": "Evaluate: 6 * (-416) + (-361) + 8", "solution_steps": ["Multiply: 6 * (-416) = -2496", "Add: -2496 + (-361) = -2857", "Add: -2857 + 8 = -2849"], "final_answer": "-2849", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-416) + (-361) + 8", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -416, \"c\": -361, \"d\": 8}", "seed": "8386549412345117059", "semantic_fingerprint": "sha256:1b2447cd51e7ddfb211ab0d40014cdd05c91329f88aa2c2e16f40027c6d33e41", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001117", "prompt": "Find x: -12x - 7 = -3x - 979", "solution_steps": ["Add 3x to both sides: -9x - 7 = -979", "Add 7 to both sides: -9x = -972", "Divide both sides by -9: x = 108"], "final_answer": "108", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 7 = -3x - 979", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": -3, \"d\": 979}", "seed": "9731264244147745993", "semantic_fingerprint": "sha256:0372b46ae915237cdd19f95da4ef462f646e5d412e89aa3a1718bc5ae9e573ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001118", "prompt": "Compute: -66 / (-4 - 789 - (915 - (-496) + (-736)))", "solution_steps": ["Subtract: -4 - 789 = -793", "Subtract: 915 - (-496) = 1411", "Add: 1411 + (-736) = 675", "Subtract: -793 - 675 = -1468", "Divide: -66 / (-1468) = 33/734"], "final_answer": "33/734", "answer_type": "rational", "kind": "expression", "math_text": "-66 / (-4 - 789 - (915 - (-496) + (-736)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (- n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -4, \"c\": 789, \"d\": 915, \"e\": -496, \"f\": -736}", "seed": "9153819426116568865", "semantic_fingerprint": "sha256:0fd2b33fe032ddc1db039060ff18c7d4f6287806f82aea5d66f2d7ea9c6baa20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001119", "prompt": "What is -815 / 8 / ((8 + (-35 - 471)) / (-55))?", "solution_steps": ["Divide: -815 / 8 = -815/8", "Subtract: -35 - 471 = -506", "Add: 8 + (-506) = -498", "Divide: -498 / (-55) = 498/55", "Divide: (-815/8) / (498/55) = -44825/3984"], "final_answer": "-44825/3984", "answer_type": "rational", "kind": "expression", "math_text": "-815 / 8 / ((8 + (-35 - 471)) / (-55))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (/ (+ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -815, \"b\": 8, \"c\": 8, \"d\": -35, \"e\": 471, \"f\": -55}", "seed": "3344885614897596157", "semantic_fingerprint": "sha256:d986a3c99bb7c29d1f18456a1abc2bcb3647e102e3603633f65c909ba9faf7a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001120", "prompt": "Compute: (-949 + (-6 - (-879))) * (952 - (-642))", "solution_steps": ["Subtract: -6 - (-879) = 873", "Add: -949 + 873 = -76", "Subtract: 952 - (-642) = 1594", "Multiply: -76 * 1594 = -121144"], "final_answer": "-121144", "answer_type": "integer", "kind": "expression", "math_text": "(-949 + (-6 - (-879))) * (952 - (-642))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -949, \"b\": -6, \"c\": -879, \"d\": 952, \"e\": -642}", "seed": "9807694977740429174", "semantic_fingerprint": "sha256:44d102d9cfd789cc864d10c32803611d903789c990ae934d610e4c9838cf14e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001121", "prompt": "What is -46 * (-318) * (38 - (-25)) + 7 * (-18)?", "solution_steps": ["Multiply: -46 * (-318) = 14628", "Subtract: 38 - (-25) = 63", "Multiply: 14628 * 63 = 921564", "Multiply: 7 * (-18) = -126", "Add: 921564 + (-126) = 921438"], "final_answer": "921438", "answer_type": "integer", "kind": "expression", "math_text": "-46 * (-318) * (38 - (-25)) + 7 * (-18)", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -318, \"c\": 38, \"d\": -25, \"e\": 7, \"f\": -18}", "seed": "10015217901516711162", "semantic_fingerprint": "sha256:aa96933c98250c758183bb99083d1b2de58b7e7d20c3780f54a7028cb2391431", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001122", "prompt": "What is 1 * (-115) + (753 - 251)?", "solution_steps": ["Multiply: 1 * (-115) = -115", "Subtract: 753 - 251 = 502", "Add: -115 + 502 = 387"], "final_answer": "387", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-115) + (753 - 251)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -115, \"c\": 753, \"d\": 251}", "seed": "3106526470500465251", "semantic_fingerprint": "sha256:9e77952c5c38df4d5cce876d9efb66eb962bf8e662e8fa91b2b8baf786d80345", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001123", "prompt": "Compute: 81 * (-76) - (-494) + 45 / (-6)", "solution_steps": ["Multiply: 81 * (-76) = -6156", "Subtract: -6156 - (-494) = -5662", "Divide: 45 / (-6) = -15/2", "Add: -5662 + (-15/2) = -11339/2"], "final_answer": "-11339/2", "answer_type": "rational", "kind": "expression", "math_text": "81 * (-76) - (-494) + 45 / (-6)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -76, \"c\": -494, \"d\": 45, \"e\": -6}", "seed": "4365048620865459834", "semantic_fingerprint": "sha256:f854055e18c24637b360db03bb9933c1fe17d2f1f13a656a9882355ac8922ac7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001124", "prompt": "Evaluate: (363 - (-44) - 59) * (0 / (-68))", "solution_steps": ["Subtract: 363 - (-44) = 407", "Subtract: 407 - 59 = 348", "Divide: 0 / (-68) = 0", "Multiply: 348 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(363 - (-44) - 59) * (0 / (-68))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 363, \"b\": -44, \"c\": 59, \"d\": 0, \"e\": -68}", "seed": "15513695013756416770", "semantic_fingerprint": "sha256:149d652ad669b3109d614f6d814f074f73ca38a82134e746510a99a6ec4fa327", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001125", "prompt": "What is 27 + (-51) - (-210 - 7 + (-685) / 27)?", "solution_steps": ["Add: 27 + (-51) = -24", "Subtract: -210 - 7 = -217", "Divide: -685 / 27 = -685/27", "Add: -217 + (-685/27) = -6544/27", "Subtract: -24 - (-6544/27) = 5896/27"], "final_answer": "5896/27", "answer_type": "rational", "kind": "expression", "math_text": "27 + (-51) - (-210 - 7 + (-685) / 27)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -51, \"c\": -210, \"d\": 7, \"e\": -685, \"f\": 27}", "seed": "7045062093351538119", "semantic_fingerprint": "sha256:3a14640f6455938200dbc20c4a0f7aace2208ceca0b41bf8fc2ebdb3a8bed26d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001126", "prompt": "Find x: 6(x - 3) + 306 = -12(x + 3)", "solution_steps": ["Expand: 6x - 18 + 306 = -12(x + 3)", "Expand: 6x - 18 + 306 = -12x - 36", "Combine constants: 6x + 288 = -12x - 36", "Add 12x to both sides: 18x + 288 = -36", "Subtract 288 from both sides: 18x = -324", "Divide both sides by 18: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) + 306 = -12(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": -12, \"d\": 3, \"f\": 306, \"x\": -18}", "seed": "17660039303863471967", "semantic_fingerprint": "sha256:e166b8cb491679849907742180f02cd5983edf7fbaffd0859e7c9cc65d4a6832", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001127", "prompt": "Evaluate: (16 / (-30) - 4) * (-8 / 362)", "solution_steps": ["Divide: 16 / (-30) = -8/15", "Subtract: -8/15 - 4 = -68/15", "Divide: -8 / 362 = -4/181", "Multiply: (-68/15) * (-4/181) = 272/2715"], "final_answer": "272/2715", "answer_type": "rational", "kind": "expression", "math_text": "(16 / (-30) - 4) * (-8 / 362)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -30, \"c\": 4, \"d\": -8, \"e\": 362}", "seed": "9235891454264612467", "semantic_fingerprint": "sha256:0299041daa4bdc889077576631eb0c4b1fadbc47e6ec9ed77739c50eab70c987", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001128", "prompt": "What is -26 - 8 - 2 * (100 + 7)?", "solution_steps": ["Subtract: -26 - 8 = -34", "Add: 100 + 7 = 107", "Multiply: 2 * 107 = 214", "Subtract: -34 - 214 = -248"], "final_answer": "-248", "answer_type": "integer", "kind": "expression", "math_text": "-26 - 8 - 2 * (100 + 7)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 8, \"c\": 2, \"d\": 100, \"e\": 7}", "seed": "12725545509904152299", "semantic_fingerprint": "sha256:f8a09310dda2333850e670200fca6b2f965e16655f566c1baedff5ac7ff21c6a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001129", "prompt": "What value of x satisfies 2x = 5(x + 27) - 156?", "solution_steps": ["Expand: 2x = 5x + 135 - 156", "Combine constants: 2x = 5x - 21", "Subtract 5x from both sides: -3x = -21", "Divide both sides by -3: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 5(x + 27) - 156", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 27, \"e\": -156, \"x\": 7}", "seed": "15772431223037208826", "semantic_fingerprint": "sha256:9897b053a8d66066791be5c81a8ff096e476b2276e4619fb875eaf6bd6e29ac9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001130", "prompt": "Solve the equation -5x = 10(x + 5) + 145 for x.", "solution_steps": ["Expand: -5x = 10x + 50 + 145", "Combine constants: -5x = 10x + 195", "Subtract 10x from both sides: -15x = 195", "Divide both sides by -15: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 10(x + 5) + 145", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 10, \"c\": 5, \"e\": 145, \"x\": -13}", "seed": "7812598514202628700", "semantic_fingerprint": "sha256:935ac112434b3fc43e572d3f7c0287d9356cfda7d90241748908b71ada287c73", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001131", "prompt": "What is (36 + (-8)) * (-5 - (-56) + (-9))?", "solution_steps": ["Add: 36 + (-8) = 28", "Subtract: -5 - (-56) = 51", "Add: 51 + (-9) = 42", "Multiply: 28 * 42 = 1176"], "final_answer": "1176", "answer_type": "integer", "kind": "expression", "math_text": "(36 + (-8)) * (-5 - (-56) + (-9))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -8, \"c\": -5, \"d\": -56, \"e\": -9}", "seed": "17539443325458280803", "semantic_fingerprint": "sha256:400c5f6ddeb4e79c1ba338ea816aa295db4ad3eb3913598482d37453b7b717a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001132", "prompt": "What value of x satisfies -4x = 9(x + 80) - 473?", "solution_steps": ["Expand: -4x = 9x + 720 - 473", "Combine constants: -4x = 9x + 247", "Subtract 9x from both sides: -13x = 247", "Divide both sides by -13: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 9(x + 80) - 473", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 80, \"e\": -473, \"x\": -19}", "seed": "5856510924998241012", "semantic_fingerprint": "sha256:5318b23fa7ae7cdf04a849ce9b3f2d822330723bc5512e9eea5e51f7445f2032", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001133", "prompt": "Find x: 4(x + 6) - 3 = x + 2", "solution_steps": ["Expand: 4x + 24 - 3 = x + 2", "Combine constants: 4x + 21 = x + 2", "Subtract x from both sides: 3x + 21 = 2", "Subtract 21 from both sides: 3x = -19", "Divide both sides by 3: x = -19/3"], "final_answer": "-19/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 6) - 3 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 3, \"d\": 2}", "seed": "4673885841009407044", "semantic_fingerprint": "sha256:85302f2a289ffe4e3302f95a5cfad5f7a8deb7a9734d939b886f297a38fdef8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001134", "prompt": "Solve for x: -5(x + 11) + 3 = x + 62", "solution_steps": ["Expand: -5x - 55 + 3 = x + 62", "Combine constants: -5x - 52 = x + 62", "Subtract x from both sides: -6x - 52 = 62", "Add 52 to both sides: -6x = 114", "Divide both sides by -6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 11) + 3 = x + 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 11, \"c\": 3, \"e\": 62, \"x\": -19}", "seed": "16260046511244766378", "semantic_fingerprint": "sha256:b28f8cfec849b5c805e43dd913b31a14f798637042b2a8377ec85677d01e3254", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001135", "prompt": "What value of x satisfies -2x = 2(x + 76) - 80?", "solution_steps": ["Expand: -2x = 2x + 152 - 80", "Combine constants: -2x = 2x + 72", "Subtract 2x from both sides: -4x = 72", "Divide both sides by -4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 2(x + 76) - 80", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 76, \"e\": -80, \"x\": -18}", "seed": "6538877068269380553", "semantic_fingerprint": "sha256:ac7ae300b392264c84b57165220cd804bd70e5d88a185b256a98dfabb44bbdff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001136", "prompt": "Find x: 6x - 1 = 8(x - 140)", "solution_steps": ["Expand: 6x - 1 = 8x - 1120", "Subtract 8x from both sides: -2x - 1 = -1120", "Add 1 to both sides: -2x = -1119", "Divide both sides by -2: x = 1119/2"], "final_answer": "1119/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 1 = 8(x - 140)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 8, \"d\": 140}", "seed": "11706722081040010431", "semantic_fingerprint": "sha256:1a447c857a6bf08a44e5d3fcc2a9a74a4da7d178cf891a86475e303672036736", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001137", "prompt": "Evaluate: (-12 + 876) / (-47 / (-671) + 47)", "solution_steps": ["Add: -12 + 876 = 864", "Divide: -47 / (-671) = 47/671", "Add: 47/671 + 47 = 31584/671", "Divide: 864 / (31584/671) = 6039/329"], "final_answer": "6039/329", "answer_type": "rational", "kind": "expression", "math_text": "(-12 + 876) / (-47 / (-671) + 47)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 876, \"c\": -47, \"d\": -671, \"e\": 47}", "seed": "14103564770148648479", "semantic_fingerprint": "sha256:d8f0305e895cb3e60064f6c9ccc195f202ff21e9bac8096073575f0c1a7d58ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001138", "prompt": "What is (-46 - (-952)) / 96 - (-117 - (-8 - 395))?", "solution_steps": ["Subtract: -46 - (-952) = 906", "Divide: 906 / 96 = 151/16", "Subtract: -8 - 395 = -403", "Subtract: -117 - (-403) = 286", "Subtract: 151/16 - 286 = -4425/16"], "final_answer": "-4425/16", "answer_type": "rational", "kind": "expression", "math_text": "(-46 - (-952)) / 96 - (-117 - (-8 - 395))", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -952, \"c\": 96, \"d\": -117, \"e\": -8, \"f\": 395}", "seed": "3220108854440624605", "semantic_fingerprint": "sha256:d15637f57ba1e1889e4f02fd92d37a183d3c99332ec400aba466b8a20850e542", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001139", "prompt": "Solve for x: 9(x + 719) = -6(x - 35) + 6", "solution_steps": ["Expand: 9x + 6471 = -6(x - 35) + 6", "Expand: 9x + 6471 = -6x + 210 + 6", "Combine constants: 9x + 6471 = -6x + 216", "Add 6x to both sides: 15x + 6471 = 216", "Subtract 6471 from both sides: 15x = -6255", "Divide both sides by 15: x = -417"], "final_answer": "-417", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 719) = -6(x - 35) + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 719, \"c\": -6, \"d\": 35, \"e\": 6}", "seed": "1428848230528268616", "semantic_fingerprint": "sha256:9bc6e439864509cbf1e748b614d3833426ccdb264744b930fbe597c69ce4ae49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001140", "prompt": "Solve the equation 11(x + 4) + 2 = x + 66 for x.", "solution_steps": ["Expand: 11x + 44 + 2 = x + 66", "Combine constants: 11x + 46 = x + 66", "Subtract x from both sides: 10x + 46 = 66", "Subtract 46 from both sides: 10x = 20", "Divide both sides by 10: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 4) + 2 = x + 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 2, \"e\": 66, \"x\": 2}", "seed": "13257291399311387371", "semantic_fingerprint": "sha256:e81202728b2048240abaf556963011cc15ac68b650f00069f164bb1416966d4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001141", "prompt": "Solve the equation 9(x - 5) + 114 = 12(x + 4) for x.", "solution_steps": ["Expand: 9x - 45 + 114 = 12(x + 4)", "Expand: 9x - 45 + 114 = 12x + 48", "Combine constants: 9x + 69 = 12x + 48", "Subtract 12x from both sides: -3x + 69 = 48", "Subtract 69 from both sides: -3x = -21", "Divide both sides by -3: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 5) + 114 = 12(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 12, \"d\": 4, \"f\": 114, \"x\": 7}", "seed": "18385299372315773264", "semantic_fingerprint": "sha256:be8ffb8ce0d465a715dfc444c9a4b5e25907d989af6569088027a0c5ae2b71cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001142", "prompt": "Find x: -3(x - 46) + 461 = 11(x + 3)", "solution_steps": ["Expand: -3x + 138 + 461 = 11(x + 3)", "Expand: -3x + 138 + 461 = 11x + 33", "Combine constants: -3x + 599 = 11x + 33", "Subtract 11x from both sides: -14x + 599 = 33", "Subtract 599 from both sides: -14x = -566", "Divide both sides by -14: x = 283/7"], "final_answer": "283/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 46) + 461 = 11(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 46, \"c\": 461, \"d\": 11, \"e\": 3}", "seed": "15168353779002442226", "semantic_fingerprint": "sha256:ecd607d56b02031ee89fd7be244730a3a7c1c1de3f2014d2e9f5c4673dd2d2e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001143", "prompt": "What is -6 * (-88 * 10) * 0?", "solution_steps": ["Multiply: -88 * 10 = -880", "Multiply: -6 * (-880) = 5280", "Multiply: 5280 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-88 * 10) * 0", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -88, \"c\": 10, \"d\": 0}", "seed": "1514366405130908746", "semantic_fingerprint": "sha256:c24753e3246967ec7826a0348adc86f8a5f61aa3f4d0212f1ba8d0fc0fe357ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001144", "prompt": "Calculate: (89 - (-9) / 9) * (29 + 310)", "solution_steps": ["Divide: -9 / 9 = -1", "Subtract: 89 - (-1) = 90", "Add: 29 + 310 = 339", "Multiply: 90 * 339 = 30510"], "final_answer": "30510", "answer_type": "integer", "kind": "expression", "math_text": "(89 - (-9) / 9) * (29 + 310)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -9, \"c\": 9, \"d\": 29, \"e\": 310}", "seed": "119821722457556275", "semantic_fingerprint": "sha256:c829ee8c48787f6996c36aeac193d06b8d4460ab5291ffd416061358a652afb8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001145", "prompt": "Find x: 12(x + 96) = -3(x - 33) + 918", "solution_steps": ["Expand: 12x + 1152 = -3(x - 33) + 918", "Expand: 12x + 1152 = -3x + 99 + 918", "Combine constants: 12x + 1152 = -3x + 1017", "Add 3x to both sides: 15x + 1152 = 1017", "Subtract 1152 from both sides: 15x = -135", "Divide both sides by 15: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 96) = -3(x - 33) + 918", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 96, \"c\": -3, \"d\": 33, \"f\": 918, \"x\": -9}", "seed": "11464059959566775950", "semantic_fingerprint": "sha256:b05f7aacdb9445328dd2f251ba7ec2e8229549d11521078e37f8afb04bfb66a4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001146", "prompt": "What is 0 * (-3) * (-8 / (-722 - (-73)))?", "solution_steps": ["Multiply: 0 * (-3) = 0", "Subtract: -722 - (-73) = -649", "Divide: -8 / (-649) = 8/649", "Multiply: 0 * (8/649) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-3) * (-8 / (-722 - (-73)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -3, \"c\": -8, \"d\": -722, \"e\": -73}", "seed": "13860238838299717087", "semantic_fingerprint": "sha256:bbd0b8e02aed8fc956a53c0b5ebac2714c04e93741fd19a4b192989ac44c9060", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001147", "prompt": "Find x: -2(x + 7) = 8(x - 8) + 50", "solution_steps": ["Expand: -2x - 14 = 8(x - 8) + 50", "Expand: -2x - 14 = 8x - 64 + 50", "Combine constants: -2x - 14 = 8x - 14", "Subtract 8x from both sides: -10x - 14 = -14", "Add 14 to both sides: -10x = 0", "Divide both sides by -10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 7) = 8(x - 8) + 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 8, \"d\": 8, \"f\": 50, \"x\": 0}", "seed": "13544637585191323389", "semantic_fingerprint": "sha256:15108226ac6784023799a6cd0c746ffcd9350666cef81208b93d7df6c123adf3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001148", "prompt": "Compute: -18 / (-3) * (657 / (-405))", "solution_steps": ["Divide: -18 / (-3) = 6", "Divide: 657 / (-405) = -73/45", "Multiply: 6 * (-73/45) = -146/15"], "final_answer": "-146/15", "answer_type": "rational", "kind": "expression", "math_text": "-18 / (-3) * (657 / (-405))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -3, \"c\": 657, \"d\": -405}", "seed": "8240035321147364199", "semantic_fingerprint": "sha256:afe1f885ab5da2df7339339c90882e35f743b025ebd69251c285a83859143bd5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001149", "prompt": "What value of x satisfies 6x - 34 = 11x - 4?", "solution_steps": ["Subtract 11x from both sides: -5x - 34 = -4", "Add 34 to both sides: -5x = 30", "Divide both sides by -5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 34 = 11x - 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 34, \"c\": 11, \"e\": -4, \"x\": -6}", "seed": "4516184980759184261", "semantic_fingerprint": "sha256:907e0ff7dbe60b81f37bbbc104c80938bc41bc595a12b2b3211073fac66498cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001150", "prompt": "What value of x satisfies 3(x + 3) + 98 = x + 125?", "solution_steps": ["Expand: 3x + 9 + 98 = x + 125", "Combine constants: 3x + 107 = x + 125", "Subtract x from both sides: 2x + 107 = 125", "Subtract 107 from both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 3) + 98 = x + 125", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 98, \"e\": 125, \"x\": 9}", "seed": "16294007126433393276", "semantic_fingerprint": "sha256:f423bb06a7affd5a46c3b91d5abeaad01d41357c34a6af15dc7e63de3efd77b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001151", "prompt": "What value of x satisfies 10x - 45 = -12x - 635?", "solution_steps": ["Add 12x to both sides: 22x - 45 = -635", "Add 45 to both sides: 22x = -590", "Divide both sides by 22: x = -295/11"], "final_answer": "-295/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 45 = -12x - 635", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 45, \"c\": -12, \"d\": 635}", "seed": "11960923465612799019", "semantic_fingerprint": "sha256:fdceb98d7eb630a93e9a040e448472f15cb85d447044db2f022be67226b0ce98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001152", "prompt": "Evaluate: -57 - (-7 - (-40 - 30)) - 9 * (-76)", "solution_steps": ["Subtract: -40 - 30 = -70", "Subtract: -7 - (-70) = 63", "Subtract: -57 - 63 = -120", "Multiply: 9 * (-76) = -684", "Subtract: -120 - (-684) = 564"], "final_answer": "564", "answer_type": "integer", "kind": "expression", "math_text": "-57 - (-7 - (-40 - 30)) - 9 * (-76)", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -7, \"c\": -40, \"d\": 30, \"e\": 9, \"f\": -76}", "seed": "6562782204440612516", "semantic_fingerprint": "sha256:a7b595e8b930c827ed03a220654e9330785ec223015f847fcc3c2cbd20fc7d45", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001153", "prompt": "Solve the equation 4x - 720 = 10x - 804 for x.", "solution_steps": ["Subtract 10x from both sides: -6x - 720 = -804", "Add 720 to both sides: -6x = -84", "Divide both sides by -6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 720 = 10x - 804", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 720, \"c\": 10, \"e\": -804, \"x\": 14}", "seed": "206089146071082778", "semantic_fingerprint": "sha256:717a555eed5da7192d8f1951a01344bdebb3b4fd44b762817d5dd0d3f72fefc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001154", "prompt": "Solve the equation 3(x + 83) - 443 = x + 32 for x.", "solution_steps": ["Expand: 3x + 249 - 443 = x + 32", "Combine constants: 3x - 194 = x + 32", "Subtract x from both sides: 2x - 194 = 32", "Add 194 to both sides: 2x = 226", "Divide both sides by 2: x = 113"], "final_answer": "113", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 83) - 443 = x + 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 83, \"c\": 443, \"d\": 32}", "seed": "4422919887060242477", "semantic_fingerprint": "sha256:b55cddb8a76fa372ff70fff554aab63b4841123b5bda558a5451b74c963d1ca1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001155", "prompt": "What is (-6 - (-716)) * (6 - (-984 + 471))?", "solution_steps": ["Subtract: -6 - (-716) = 710", "Add: -984 + 471 = -513", "Subtract: 6 - (-513) = 519", "Multiply: 710 * 519 = 368490"], "final_answer": "368490", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (-716)) * (6 - (-984 + 471))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -716, \"c\": 6, \"d\": -984, \"e\": 471}", "seed": "16313293708764249461", "semantic_fingerprint": "sha256:ad45f6fc5423b43f0e1c65549494593f6fea75ee138c384c824c5cbfaf89a3b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001156", "prompt": "Calculate: (-916 - 7 - (-76)) * (-73)", "solution_steps": ["Subtract: -916 - 7 = -923", "Subtract: -923 - (-76) = -847", "Multiply: -847 * (-73) = 61831"], "final_answer": "61831", "answer_type": "integer", "kind": "expression", "math_text": "(-916 - 7 - (-76)) * (-73)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -916, \"b\": 7, \"c\": -76, \"d\": -73}", "seed": "5908642042826932020", "semantic_fingerprint": "sha256:66ac538d9723a9d3a9494c78a247d88786b093e12470a19198aec68e5f5f78f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001157", "prompt": "Compute: 5 * (69 * (-9)) * 0", "solution_steps": ["Multiply: 69 * (-9) = -621", "Multiply: 5 * (-621) = -3105", "Multiply: -3105 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "5 * (69 * (-9)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 69, \"c\": -9, \"d\": 0}", "seed": "8156506166268060424", "semantic_fingerprint": "sha256:7dfcdf1df6e22ec2a835bcc12bb752a16bffeff93eec6262d1f64f8e9865f818", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001158", "prompt": "Calculate: 72 / (-54 / (-4 - (-8))) - (-114)", "solution_steps": ["Subtract: -4 - (-8) = 4", "Divide: -54 / 4 = -27/2", "Divide: 72 / (-27/2) = -16/3", "Subtract: -16/3 - (-114) = 326/3"], "final_answer": "326/3", "answer_type": "rational", "kind": "expression", "math_text": "72 / (-54 / (-4 - (-8))) - (-114)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -54, \"c\": -4, \"d\": -8, \"e\": -114}", "seed": "5360837550266245774", "semantic_fingerprint": "sha256:8272c0e3897102405e6d366b9c1323c8a01958f4fe892cfca933000e26216332", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001159", "prompt": "Solve the equation 10x = -11(x + 17) + 187 for x.", "solution_steps": ["Expand: 10x = -11x - 187 + 187", "Combine constants: 10x = -11x", "Add 11x to both sides: 21x = 0", "Divide both sides by 21: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -11(x + 17) + 187", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -11, \"c\": 17, \"e\": 187, \"x\": 0}", "seed": "707203706238502460", "semantic_fingerprint": "sha256:60b0e862253bf468486c6f74a0ee944252bac630b0a352f9923b3e9d40c5d4d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001160", "prompt": "Compute: 544 - (13 - 19) * 0 + 354", "solution_steps": ["Subtract: 13 - 19 = -6", "Multiply: -6 * 0 = 0", "Subtract: 544 - 0 = 544", "Add: 544 + 354 = 898"], "final_answer": "898", "answer_type": "integer", "kind": "expression", "math_text": "544 - (13 - 19) * 0 + 354", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 544, \"b\": 13, \"c\": 19, \"d\": 0, \"e\": 354}", "seed": "18023527219581915040", "semantic_fingerprint": "sha256:d5e1b5cc7083f94c7163f9231d8870085e63e17a512528b2895470f2018eb62d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001161", "prompt": "Find x: 9(x - 8) + 145 = 10(x + 6)", "solution_steps": ["Expand: 9x - 72 + 145 = 10(x + 6)", "Expand: 9x - 72 + 145 = 10x + 60", "Combine constants: 9x + 73 = 10x + 60", "Subtract 10x from both sides: -x + 73 = 60", "Subtract 73 from both sides: -x = -13", "Divide both sides by -1: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 8) + 145 = 10(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 10, \"d\": 6, \"f\": 145, \"x\": 13}", "seed": "10416940785920844853", "semantic_fingerprint": "sha256:5c62fd0c67698c0e1636aa353f5aae7fff434d8f4531284eeabc5f65e2a215b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001162", "prompt": "Compute: -386 * (6 / 28 + (-54 + 59))", "solution_steps": ["Divide: 6 / 28 = 3/14", "Add: -54 + 59 = 5", "Add: 3/14 + 5 = 73/14", "Multiply: -386 * (73/14) = -14089/7"], "final_answer": "-14089/7", "answer_type": "rational", "kind": "expression", "math_text": "-386 * (6 / 28 + (-54 + 59))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -386, \"b\": 6, \"c\": 28, \"d\": -54, \"e\": 59}", "seed": "10139637175867404627", "semantic_fingerprint": "sha256:04344f64bf44f08a85f01288472b832d38bbe97e562b27a373137c577acd0a9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001163", "prompt": "What is -6 * (-23 * (-733)) * 5?", "solution_steps": ["Multiply: -23 * (-733) = 16859", "Multiply: -6 * 16859 = -101154", "Multiply: -101154 * 5 = -505770"], "final_answer": "-505770", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-23 * (-733)) * 5", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -23, \"c\": -733, \"d\": 5}", "seed": "10419604979368511364", "semantic_fingerprint": "sha256:5730201185b2d4b9fa5a33e89b51b8ecbc39194121db4e3e7d532822e0936f5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001164", "prompt": "What value of x satisfies 4x = 9(x + 67) - 613?", "solution_steps": ["Expand: 4x = 9x + 603 - 613", "Combine constants: 4x = 9x - 10", "Subtract 9x from both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 9(x + 67) - 613", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 67, \"e\": -613, \"x\": 2}", "seed": "11951221550476905251", "semantic_fingerprint": "sha256:cd9a1b8fc51bdd0eb6dd1a80de66396371f66a6c8a4096db1485d1a9e3b3f087", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001165", "prompt": "What value of x satisfies -2x = 6(x + 124) - 736?", "solution_steps": ["Expand: -2x = 6x + 744 - 736", "Combine constants: -2x = 6x + 8", "Subtract 6x from both sides: -8x = 8", "Divide both sides by -8: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 6(x + 124) - 736", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 124, \"e\": -736, \"x\": -1}", "seed": "3511054755054522494", "semantic_fingerprint": "sha256:4494af40a45e11eaab51a8beb5204bc07edbc0721805795bf8c8158be7c54753", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001166", "prompt": "Evaluate: -9 / (-7) / 861 - 96", "solution_steps": ["Divide: -9 / (-7) = 9/7", "Divide: (9/7) / 861 = 3/2009", "Subtract: 3/2009 - 96 = -192861/2009"], "final_answer": "-192861/2009", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-7) / 861 - 96", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": 861, \"d\": 96}", "seed": "1988623078688019206", "semantic_fingerprint": "sha256:7044de0facdb597bc7482785cceb5e8b08f6c6c48c09395f4c94cb7b3f194336", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001167", "prompt": "Calculate: 30 * (-10) + (6 - 54)", "solution_steps": ["Multiply: 30 * (-10) = -300", "Subtract: 6 - 54 = -48", "Add: -300 + (-48) = -348"], "final_answer": "-348", "answer_type": "integer", "kind": "expression", "math_text": "30 * (-10) + (6 - 54)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -10, \"c\": 6, \"d\": 54}", "seed": "9111073662241393187", "semantic_fingerprint": "sha256:b75f4ccd7edd9b9db0cde52e5209c2c64cdba78e21679d623f09415483895d0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001168", "prompt": "What is 84 * 69 + 79 * (-726)?", "solution_steps": ["Multiply: 84 * 69 = 5796", "Multiply: 79 * (-726) = -57354", "Add: 5796 + (-57354) = -51558"], "final_answer": "-51558", "answer_type": "integer", "kind": "expression", "math_text": "84 * 69 + 79 * (-726)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 69, \"c\": 79, \"d\": -726}", "seed": "14879006855772320177", "semantic_fingerprint": "sha256:6044b16b8e57170dcbee6b04428760020228f7df4f6f09e07da9f474341127d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001169", "prompt": "Solve the equation 2(x - 9) + 515 = 7(x + 61) for x.", "solution_steps": ["Expand: 2x - 18 + 515 = 7(x + 61)", "Expand: 2x - 18 + 515 = 7x + 427", "Combine constants: 2x + 497 = 7x + 427", "Subtract 7x from both sides: -5x + 497 = 427", "Subtract 497 from both sides: -5x = -70", "Divide both sides by -5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) + 515 = 7(x + 61)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 7, \"d\": 61, \"f\": 515, \"x\": 14}", "seed": "12177384238755676957", "semantic_fingerprint": "sha256:2e89331f4a434ace8a01e30c6a21f3e7a24d927ab12a75a249805a7dead331db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001170", "prompt": "Compute: (-1 + (-7 - (-3))) / (67 + 34) / (-44)", "solution_steps": ["Subtract: -7 - (-3) = -4", "Add: -1 + (-4) = -5", "Add: 67 + 34 = 101", "Divide: -5 / 101 = -5/101", "Divide: (-5/101) / (-44) = 5/4444"], "final_answer": "5/4444", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + (-7 - (-3))) / (67 + 34) / (-44)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (+ n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -7, \"c\": -3, \"d\": 67, \"e\": 34, \"f\": -44}", "seed": "13173966399955582641", "semantic_fingerprint": "sha256:4f32b7dcf5a79197b7c7701ef94c9ceaf5e60d32391f4a3683cfb91decdf2564", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001171", "prompt": "Calculate: 437 + 0 * (-1 + (-578)) / 75", "solution_steps": ["Add: -1 + (-578) = -579", "Multiply: 0 * (-579) = 0", "Divide: 0 / 75 = 0", "Add: 437 + 0 = 437"], "final_answer": "437", "answer_type": "integer", "kind": "expression", "math_text": "437 + 0 * (-1 + (-578)) / 75", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 437, \"b\": 0, \"c\": -1, \"d\": -578, \"e\": 75}", "seed": "8466863230409750562", "semantic_fingerprint": "sha256:ad574539c6200f20faad6a66610c931066d954af0306e0e4eb152f686d1a6378", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001172", "prompt": "Evaluate: (5 + (-23)) / (-9 - (-7) + 16)", "solution_steps": ["Add: 5 + (-23) = -18", "Subtract: -9 - (-7) = -2", "Add: -2 + 16 = 14", "Divide: -18 / 14 = -9/7"], "final_answer": "-9/7", "answer_type": "rational", "kind": "expression", "math_text": "(5 + (-23)) / (-9 - (-7) + 16)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -23, \"c\": -9, \"d\": -7, \"e\": 16}", "seed": "6180427447540205773", "semantic_fingerprint": "sha256:d6d16bcce2634789d1c0d12efaaab3a84029c505880812b35eebc7180f06afe9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001173", "prompt": "What is 7 - (-6 + 86) / (-407)?", "solution_steps": ["Add: -6 + 86 = 80", "Divide: 80 / (-407) = -80/407", "Subtract: 7 - (-80/407) = 2929/407"], "final_answer": "2929/407", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-6 + 86) / (-407)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -6, \"c\": 86, \"d\": -407}", "seed": "2537154035852481531", "semantic_fingerprint": "sha256:09fe428edad8cf279d5795c93fbfa8a624d00e836e4540b7d08bd775428d366c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001174", "prompt": "Find x: -4(x + 3) = 12(x - 56) + 740", "solution_steps": ["Expand: -4x - 12 = 12(x - 56) + 740", "Expand: -4x - 12 = 12x - 672 + 740", "Combine constants: -4x - 12 = 12x + 68", "Subtract 12x from both sides: -16x - 12 = 68", "Add 12 to both sides: -16x = 80", "Divide both sides by -16: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 3) = 12(x - 56) + 740", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 12, \"d\": 56, \"f\": 740, \"x\": -5}", "seed": "11069453096056005196", "semantic_fingerprint": "sha256:72cc81ad52f3fccc864b877be02c852bb817a4d8fb01741b5991c7a3e96132cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001175", "prompt": "Find x: -4(x - 26) - 6 = x + 3", "solution_steps": ["Expand: -4x + 104 - 6 = x + 3", "Combine constants: -4x + 98 = x + 3", "Subtract x from both sides: -5x + 98 = 3", "Subtract 98 from both sides: -5x = -95", "Divide both sides by -5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 26) - 6 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 26, \"c\": 6, \"e\": 3, \"x\": 19}", "seed": "6809334717668656740", "semantic_fingerprint": "sha256:8683129641c8922fae9952388170f0b5a74453e42d4c04e326518aba6c525213", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001176", "prompt": "Find x: 7x = 5(x + 91) + 1", "solution_steps": ["Expand: 7x = 5x + 455 + 1", "Combine constants: 7x = 5x + 456", "Subtract 5x from both sides: 2x = 456", "Divide both sides by 2: x = 228"], "final_answer": "228", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 5(x + 91) + 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 91, \"d\": 1}", "seed": "9199038509127270180", "semantic_fingerprint": "sha256:3bb4a6c5c0833260c1b95e1391b7d1e31f7458e4c1cde35348dabc4c6987fdad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001177", "prompt": "What is (-13 - (-2 + 87)) * (-87 + 63)?", "solution_steps": ["Add: -2 + 87 = 85", "Subtract: -13 - 85 = -98", "Add: -87 + 63 = -24", "Multiply: -98 * (-24) = 2352"], "final_answer": "2352", "answer_type": "integer", "kind": "expression", "math_text": "(-13 - (-2 + 87)) * (-87 + 63)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -2, \"c\": 87, \"d\": -87, \"e\": 63}", "seed": "1648302896217782065", "semantic_fingerprint": "sha256:19b444c58b6e7441fc91f19cada8ce83e3dcc1215167b670806ecfbdbcf71ba8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001178", "prompt": "What is (-25 + 75) / (-470 + 30)?", "solution_steps": ["Add: -25 + 75 = 50", "Add: -470 + 30 = -440", "Divide: 50 / (-440) = -5/44"], "final_answer": "-5/44", "answer_type": "rational", "kind": "expression", "math_text": "(-25 + 75) / (-470 + 30)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 75, \"c\": -470, \"d\": 30}", "seed": "15911120199892703643", "semantic_fingerprint": "sha256:e7a2e5afc520ed793d2dbf27ac32d401763453763531fd0153fb5855f1779a18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001179", "prompt": "Evaluate: 0 + (30 / (-9) + 58 + 38)", "solution_steps": ["Divide: 30 / (-9) = -10/3", "Add: -10/3 + 58 = 164/3", "Add: 164/3 + 38 = 278/3", "Add: 0 + 278/3 = 278/3"], "final_answer": "278/3", "answer_type": "rational", "kind": "expression", "math_text": "0 + (30 / (-9) + 58 + 38)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 30, \"c\": -9, \"d\": 58, \"e\": 38}", "seed": "15619578591936458081", "semantic_fingerprint": "sha256:175b893217dffa6ea92959afe7cfadd101025c867bd617830f1488cc35ba3826", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001180", "prompt": "What value of x satisfies 3(x + 178) + 6 = x + 578?", "solution_steps": ["Expand: 3x + 534 + 6 = x + 578", "Combine constants: 3x + 540 = x + 578", "Subtract x from both sides: 2x + 540 = 578", "Subtract 540 from both sides: 2x = 38", "Divide both sides by 2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 178) + 6 = x + 578", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 178, \"c\": 6, \"e\": 578, \"x\": 19}", "seed": "9354017812250029825", "semantic_fingerprint": "sha256:9909f3ece4c76552a7efcefe639d99226e73c06830bbb38b4d9f81bdb83ee365", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001181", "prompt": "What is 5 * 836 / (-6) + (-1 - 25)?", "solution_steps": ["Multiply: 5 * 836 = 4180", "Divide: 4180 / (-6) = -2090/3", "Subtract: -1 - 25 = -26", "Add: -2090/3 + (-26) = -2168/3"], "final_answer": "-2168/3", "answer_type": "rational", "kind": "expression", "math_text": "5 * 836 / (-6) + (-1 - 25)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 836, \"c\": -6, \"d\": -1, \"e\": 25}", "seed": "8196364481597026738", "semantic_fingerprint": "sha256:a510bf1d05a58098628127113798da10933d6c7a0b42dd9248dd2a1b1f070027", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001182", "prompt": "Calculate: 389 * 703 + (47 * (-38) + (0 + (-8)))", "solution_steps": ["Multiply: 389 * 703 = 273467", "Multiply: 47 * (-38) = -1786", "Add: 0 + (-8) = -8", "Add: -1786 + (-8) = -1794", "Add: 273467 + (-1794) = 271673"], "final_answer": "271673", "answer_type": "integer", "kind": "expression", "math_text": "389 * 703 + (47 * (-38) + (0 + (-8)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 389, \"b\": 703, \"c\": 47, \"d\": -38, \"e\": 0, \"f\": -8}", "seed": "5966664534738555819", "semantic_fingerprint": "sha256:7d1d80cbea6fd6690dff849900cfad77dc22cfe017b2973de341b73c47fc7c99", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001183", "prompt": "What value of x satisfies 3(x + 93) + 66 = x + 313?", "solution_steps": ["Expand: 3x + 279 + 66 = x + 313", "Combine constants: 3x + 345 = x + 313", "Subtract x from both sides: 2x + 345 = 313", "Subtract 345 from both sides: 2x = -32", "Divide both sides by 2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 93) + 66 = x + 313", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 93, \"c\": 66, \"e\": 313, \"x\": -16}", "seed": "14442116695711841129", "semantic_fingerprint": "sha256:7e92ab04d9382a2f6b594fd6a27bae4ebc18454fb729a64914720bca07bc349c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001184", "prompt": "What value of x satisfies 5x = 12(x + 68) + 152?", "solution_steps": ["Expand: 5x = 12x + 816 + 152", "Combine constants: 5x = 12x + 968", "Subtract 12x from both sides: -7x = 968", "Divide both sides by -7: x = -968/7"], "final_answer": "-968/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 12(x + 68) + 152", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 68, \"d\": 152}", "seed": "9221338829225401146", "semantic_fingerprint": "sha256:be79abd672881113583bc16a8a19d9a13b340a6915e75c9b99656dbfd6868230", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001185", "prompt": "Calculate: (-34 - 0) / (4 * (-92) + 69)", "solution_steps": ["Subtract: -34 - 0 = -34", "Multiply: 4 * (-92) = -368", "Add: -368 + 69 = -299", "Divide: -34 / (-299) = 34/299"], "final_answer": "34/299", "answer_type": "rational", "kind": "expression", "math_text": "(-34 - 0) / (4 * (-92) + 69)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 0, \"c\": 4, \"d\": -92, \"e\": 69}", "seed": "8509636363385597016", "semantic_fingerprint": "sha256:a78a9051f71f8213e54d2ef76536134f1188b05a484a81476871df90bb8a7600", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001186", "prompt": "Find x: 7(x + 1) + 3 = x + 94", "solution_steps": ["Expand: 7x + 7 + 3 = x + 94", "Combine constants: 7x + 10 = x + 94", "Subtract x from both sides: 6x + 10 = 94", "Subtract 10 from both sides: 6x = 84", "Divide both sides by 6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 1) + 3 = x + 94", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 3, \"e\": 94, \"x\": 14}", "seed": "12087292757447671423", "semantic_fingerprint": "sha256:bfcb64dc9c21a4f126901b94e93bb1dd9023e10648924fe4f4b27b6acffaf5f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001187", "prompt": "Compute: (-97 + 88) / (-532) + 9", "solution_steps": ["Add: -97 + 88 = -9", "Divide: -9 / (-532) = 9/532", "Add: 9/532 + 9 = 4797/532"], "final_answer": "4797/532", "answer_type": "rational", "kind": "expression", "math_text": "(-97 + 88) / (-532) + 9", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 88, \"c\": -532, \"d\": 9}", "seed": "12270908824053320918", "semantic_fingerprint": "sha256:984b4244441b95adb3028b8cf510d039642e707e6e9b1e42fc69b0db782c10bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001188", "prompt": "Calculate: (-3 * 62 - (-26 + (-10))) * 297", "solution_steps": ["Multiply: -3 * 62 = -186", "Add: -26 + (-10) = -36", "Subtract: -186 - (-36) = -150", "Multiply: -150 * 297 = -44550"], "final_answer": "-44550", "answer_type": "integer", "kind": "expression", "math_text": "(-3 * 62 - (-26 + (-10))) * 297", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 62, \"c\": -26, \"d\": -10, \"e\": 297}", "seed": "5285789115290707237", "semantic_fingerprint": "sha256:25da3469a672ba13deeb7f9a2d2d3012d6aaf1a02f2072fe8bd570ae00f05640", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001189", "prompt": "What is (-1 / 7 - 206) * (7 * 318) / (-21)?", "solution_steps": ["Divide: -1 / 7 = -1/7", "Subtract: -1/7 - 206 = -1443/7", "Multiply: 7 * 318 = 2226", "Multiply: (-1443/7) * 2226 = -458874", "Divide: -458874 / (-21) = 152958/7"], "final_answer": "152958/7", "answer_type": "rational", "kind": "expression", "math_text": "(-1 / 7 - 206) * (7 * 318) / (-21)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 7, \"c\": 206, \"d\": 7, \"e\": 318, \"f\": -21}", "seed": "417942543237068738", "semantic_fingerprint": "sha256:7d78c736354ddfcb695a24d3545388dc190465b6db25c52a700aac776c05ee31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001190", "prompt": "Compute: 391 * (-44 + 38 / (-76)) / (-83) / (-2)", "solution_steps": ["Divide: 38 / (-76) = -1/2", "Add: -44 + (-1/2) = -89/2", "Multiply: 391 * (-89/2) = -34799/2", "Divide: (-34799/2) / (-83) = 34799/166", "Divide: (34799/166) / (-2) = -34799/332"], "final_answer": "-34799/332", "answer_type": "rational", "kind": "expression", "math_text": "391 * (-44 + 38 / (-76)) / (-83) / (-2)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n (+ n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 391, \"b\": -44, \"c\": 38, \"d\": -76, \"e\": -83, \"f\": -2}", "seed": "6932142751948903118", "semantic_fingerprint": "sha256:e751a883e36fc8330c4a5f73e36e9f13afc5ec555461b8879547f742d24fe200", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001191", "prompt": "Find x: -8(x + 41) = 9(x - 3) + 39", "solution_steps": ["Expand: -8x - 328 = 9(x - 3) + 39", "Expand: -8x - 328 = 9x - 27 + 39", "Combine constants: -8x - 328 = 9x + 12", "Subtract 9x from both sides: -17x - 328 = 12", "Add 328 to both sides: -17x = 340", "Divide both sides by -17: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 41) = 9(x - 3) + 39", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 41, \"c\": 9, \"d\": 3, \"f\": 39, \"x\": -20}", "seed": "974592812827593467", "semantic_fingerprint": "sha256:1662b3d9f5e73d31e5e7e81dcd8ebc0ff5b8a3ae5e8862d1b470249eb1071839", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001192", "prompt": "What value of x satisfies 6x = 8(x + 809) + 1?", "solution_steps": ["Expand: 6x = 8x + 6472 + 1", "Combine constants: 6x = 8x + 6473", "Subtract 8x from both sides: -2x = 6473", "Divide both sides by -2: x = -6473/2"], "final_answer": "-6473/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 8(x + 809) + 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 809, \"d\": 1}", "seed": "4252664491973122362", "semantic_fingerprint": "sha256:3545fd0acfbfa55ea1724ba504020d941999d123e30b4831a441d2baa147735d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001193", "prompt": "Find x: 5(x - 93) + 512 = 4(x + 9)", "solution_steps": ["Expand: 5x - 465 + 512 = 4(x + 9)", "Expand: 5x - 465 + 512 = 4x + 36", "Combine constants: 5x + 47 = 4x + 36", "Subtract 4x from both sides: x + 47 = 36", "Subtract 47 from both sides: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 93) + 512 = 4(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 93, \"c\": 4, \"d\": 9, \"f\": 512, \"x\": -11}", "seed": "8084430001180666836", "semantic_fingerprint": "sha256:675a94edf1d850e1f8c7527484cfa1c6900367aed2543b08b51bd90eefdb98a4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001194", "prompt": "Solve the equation -9(x - 7) + 299 = 4(x + 32) for x.", "solution_steps": ["Expand: -9x + 63 + 299 = 4(x + 32)", "Expand: -9x + 63 + 299 = 4x + 128", "Combine constants: -9x + 362 = 4x + 128", "Subtract 4x from both sides: -13x + 362 = 128", "Subtract 362 from both sides: -13x = -234", "Divide both sides by -13: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 7) + 299 = 4(x + 32)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 4, \"d\": 32, \"f\": 299, \"x\": 18}", "seed": "14708479452139329088", "semantic_fingerprint": "sha256:2a7a09c925e9112c0220e943a22be5fa03ecc274072958e3f21107437c67fec5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001195", "prompt": "Calculate: 69 - 701 / (-88) - (-843)", "solution_steps": ["Divide: 701 / (-88) = -701/88", "Subtract: 69 - (-701/88) = 6773/88", "Subtract: 6773/88 - (-843) = 80957/88"], "final_answer": "80957/88", "answer_type": "rational", "kind": "expression", "math_text": "69 - 701 / (-88) - (-843)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 701, \"c\": -88, \"d\": -843}", "seed": "16667418686876198217", "semantic_fingerprint": "sha256:641c80c9c62906a999941c255a88eec074a1a9ad7243dd9c21ae2e98701def30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001196", "prompt": "Solve for x: 2(x + 995) - 8 = x + 52", "solution_steps": ["Expand: 2x + 1990 - 8 = x + 52", "Combine constants: 2x + 1982 = x + 52", "Subtract x from both sides: x + 1982 = 52", "Subtract 1982 from both sides: x = -1930"], "final_answer": "-1930", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 995) - 8 = x + 52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 995, \"c\": 8, \"d\": 52}", "seed": "1543747860708090947", "semantic_fingerprint": "sha256:69ec9adaecbb328968adbda477b6d77146f50cf491c34e699a18b196444f8be4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001197", "prompt": "Calculate: 4 + (430 / (-26) - (-5 - (-44)))", "solution_steps": ["Divide: 430 / (-26) = -215/13", "Subtract: -5 - (-44) = 39", "Subtract: -215/13 - 39 = -722/13", "Add: 4 + (-722/13) = -670/13"], "final_answer": "-670/13", "answer_type": "rational", "kind": "expression", "math_text": "4 + (430 / (-26) - (-5 - (-44)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 430, \"c\": -26, \"d\": -5, \"e\": -44}", "seed": "4246034486007896004", "semantic_fingerprint": "sha256:e79e3591a0838103fac0a493ce5896efb482bdc09af9471bbd4c638ac72905fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001198", "prompt": "Evaluate: (5 + 9 - (-34 - (-187))) / 238", "solution_steps": ["Add: 5 + 9 = 14", "Subtract: -34 - (-187) = 153", "Subtract: 14 - 153 = -139", "Divide: -139 / 238 = -139/238"], "final_answer": "-139/238", "answer_type": "rational", "kind": "expression", "math_text": "(5 + 9 - (-34 - (-187))) / 238", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": -34, \"d\": -187, \"e\": 238}", "seed": "8311891187745740897", "semantic_fingerprint": "sha256:c1b76b8a475f0257d7f296aa8231817c5e2ac6dadcc2cccd74f2b646f03db061", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001199", "prompt": "Compute: -46 * (-58) + (-8) + 830", "solution_steps": ["Multiply: -46 * (-58) = 2668", "Add: 2668 + (-8) = 2660", "Add: 2660 + 830 = 3490"], "final_answer": "3490", "answer_type": "integer", "kind": "expression", "math_text": "-46 * (-58) + (-8) + 830", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -58, \"c\": -8, \"d\": 830}", "seed": "8027697231285292558", "semantic_fingerprint": "sha256:b65822c080a81961c41888295a4ca863c2c2dcaa207ac668dd9eee12e8a9116f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001200", "prompt": "What is -277 * 4 + (-87) * 335 + 880?", "solution_steps": ["Multiply: -277 * 4 = -1108", "Multiply: -87 * 335 = -29145", "Add: -1108 + (-29145) = -30253", "Add: -30253 + 880 = -29373"], "final_answer": "-29373", "answer_type": "integer", "kind": "expression", "math_text": "-277 * 4 + (-87) * 335 + 880", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -277, \"b\": 4, \"c\": -87, \"d\": 335, \"e\": 880}", "seed": "8618804684733452243", "semantic_fingerprint": "sha256:2be802c4efd968f9f48155e3364980971545c4c98315020dd604a7892b1744ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001201", "prompt": "Calculate: 965 / (-81 + 505) - (-19) / (-2)", "solution_steps": ["Add: -81 + 505 = 424", "Divide: 965 / 424 = 965/424", "Divide: -19 / (-2) = 19/2", "Subtract: 965/424 - 19/2 = -3063/424"], "final_answer": "-3063/424", "answer_type": "rational", "kind": "expression", "math_text": "965 / (-81 + 505) - (-19) / (-2)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 965, \"b\": -81, \"c\": 505, \"d\": -19, \"e\": -2}", "seed": "6647883601358012877", "semantic_fingerprint": "sha256:fa14ac139b87f91dd3b112b622f9f165e56ff369d3062a5ac13310660721bd60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001202", "prompt": "Find x: 5(x - 80) + 434 = 11(x + 8)", "solution_steps": ["Expand: 5x - 400 + 434 = 11(x + 8)", "Expand: 5x - 400 + 434 = 11x + 88", "Combine constants: 5x + 34 = 11x + 88", "Subtract 11x from both sides: -6x + 34 = 88", "Subtract 34 from both sides: -6x = 54", "Divide both sides by -6: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 80) + 434 = 11(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 80, \"c\": 11, \"d\": 8, \"f\": 434, \"x\": -9}", "seed": "925170723379648449", "semantic_fingerprint": "sha256:8bee61d044fbbb7bea6b7cbcabc82316cdb94ec70624fd0520101f4bce080cdc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001203", "prompt": "Compute: 9 - (-45 + (-82) + (-15)) * 2", "solution_steps": ["Add: -45 + (-82) = -127", "Add: -127 + (-15) = -142", "Multiply: -142 * 2 = -284", "Subtract: 9 - (-284) = 293"], "final_answer": "293", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-45 + (-82) + (-15)) * 2", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -45, \"c\": -82, \"d\": -15, \"e\": 2}", "seed": "6188593504653504208", "semantic_fingerprint": "sha256:08dca2c9d2ebfa437c622866661f10e6ac929d4bb055dc68c715fa1e500a525f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001204", "prompt": "Compute: (-30 + (133 + 1)) * (71 / 4)", "solution_steps": ["Add: 133 + 1 = 134", "Add: -30 + 134 = 104", "Divide: 71 / 4 = 71/4", "Multiply: 104 * (71/4) = 1846"], "final_answer": "1846", "answer_type": "integer", "kind": "expression", "math_text": "(-30 + (133 + 1)) * (71 / 4)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 133, \"c\": 1, \"d\": 71, \"e\": 4}", "seed": "2404313924422784473", "semantic_fingerprint": "sha256:54c4ca0d502eca5475a19ad8718af4b52768cf67da545fddc8ef209a9f209c72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001205", "prompt": "Compute: 611 - (-623) / 5 * (81 - (-3) + 41)", "solution_steps": ["Divide: -623 / 5 = -623/5", "Subtract: 81 - (-3) = 84", "Add: 84 + 41 = 125", "Multiply: (-623/5) * 125 = -15575", "Subtract: 611 - (-15575) = 16186"], "final_answer": "16186", "answer_type": "integer", "kind": "expression", "math_text": "611 - (-623) / 5 * (81 - (-3) + 41)", "variable": null, "family": "expression_5op", "shape": "(- n (* (/ n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 611, \"b\": -623, \"c\": 5, \"d\": 81, \"e\": -3, \"f\": 41}", "seed": "11906003550048649391", "semantic_fingerprint": "sha256:676b7ecf997d6f6bdf57b560b7275a79141d5b0d1683da207a3f9f972f8d7c26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001206", "prompt": "Evaluate: 94 - (8 + (-289)) + (-220 + 0 / (-3))", "solution_steps": ["Add: 8 + (-289) = -281", "Subtract: 94 - (-281) = 375", "Divide: 0 / (-3) = 0", "Add: -220 + 0 = -220", "Add: 375 + (-220) = 155"], "final_answer": "155", "answer_type": "integer", "kind": "expression", "math_text": "94 - (8 + (-289)) + (-220 + 0 / (-3))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ n n)) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 8, \"c\": -289, \"d\": -220, \"e\": 0, \"f\": -3}", "seed": "15773197718399936081", "semantic_fingerprint": "sha256:debd61e23d0eec6d91dcd8eabdec5c611c12cd729b87e900924a72042c1a70aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001207", "prompt": "Calculate: -25 * (-896 / 8 - (-2)) - (-6)", "solution_steps": ["Divide: -896 / 8 = -112", "Subtract: -112 - (-2) = -110", "Multiply: -25 * (-110) = 2750", "Subtract: 2750 - (-6) = 2756"], "final_answer": "2756", "answer_type": "integer", "kind": "expression", "math_text": "-25 * (-896 / 8 - (-2)) - (-6)", "variable": null, "family": "expression_4op", "shape": "(- (* n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -896, \"c\": 8, \"d\": -2, \"e\": -6}", "seed": "13888116047244810058", "semantic_fingerprint": "sha256:d88b590c7411e9f439ee7df5eed79e2b32d0ae62e59574931ce2816dead9a3da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001208", "prompt": "Solve for x: 11(x - 432) + 691 = -11(x + 55)", "solution_steps": ["Expand: 11x - 4752 + 691 = -11(x + 55)", "Expand: 11x - 4752 + 691 = -11x - 605", "Combine constants: 11x - 4061 = -11x - 605", "Add 11x to both sides: 22x - 4061 = -605", "Add 4061 to both sides: 22x = 3456", "Divide both sides by 22: x = 1728/11"], "final_answer": "1728/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 432) + 691 = -11(x + 55)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 432, \"c\": 691, \"d\": -11, \"e\": 55}", "seed": "7971154873325040176", "semantic_fingerprint": "sha256:88d841fa9b01369876c60f45c8d4173ac941bd80adf89eaa2026e76b1b674e03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001209", "prompt": "Calculate: -567 + 22 / (-71 / 3) + 6", "solution_steps": ["Divide: -71 / 3 = -71/3", "Divide: 22 / (-71/3) = -66/71", "Add: -567 + (-66/71) = -40323/71", "Add: -40323/71 + 6 = -39897/71"], "final_answer": "-39897/71", "answer_type": "rational", "kind": "expression", "math_text": "-567 + 22 / (-71 / 3) + 6", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -567, \"b\": 22, \"c\": -71, \"d\": 3, \"e\": 6}", "seed": "12699173987075678551", "semantic_fingerprint": "sha256:685fc431f921b77414cf2ec768da4830cf845a68dac0a27f0083d8bd7b1c9a6f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001210", "prompt": "Evaluate: (-33 - (-553 + (-4))) * (1 + (-833))", "solution_steps": ["Add: -553 + (-4) = -557", "Subtract: -33 - (-557) = 524", "Add: 1 + (-833) = -832", "Multiply: 524 * (-832) = -435968"], "final_answer": "-435968", "answer_type": "integer", "kind": "expression", "math_text": "(-33 - (-553 + (-4))) * (1 + (-833))", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -553, \"c\": -4, \"d\": 1, \"e\": -833}", "seed": "11135399538616096316", "semantic_fingerprint": "sha256:8fe1287b3967bc31f14c4a84f6f9cd3d897b105a1957768ec844aa628c81a26f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001211", "prompt": "Solve for x: 3x - 823 = 4x - 3", "solution_steps": ["Subtract 4x from both sides: -x - 823 = -3", "Add 823 to both sides: -x = 820", "Divide both sides by -1: x = -820"], "final_answer": "-820", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 823 = 4x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 823, \"c\": 4, \"d\": 3}", "seed": "12313110606406211183", "semantic_fingerprint": "sha256:bc3f9052b3e4945e797ba75dd90c1f36f1a37c2989b84d72d5b5c07e25d7885b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001212", "prompt": "Calculate: -822 * (-42 / (-7 / 4)) + (-267)", "solution_steps": ["Divide: -7 / 4 = -7/4", "Divide: -42 / (-7/4) = 24", "Multiply: -822 * 24 = -19728", "Add: -19728 + (-267) = -19995"], "final_answer": "-19995", "answer_type": "integer", "kind": "expression", "math_text": "-822 * (-42 / (-7 / 4)) + (-267)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -822, \"b\": -42, \"c\": -7, \"d\": 4, \"e\": -267}", "seed": "486333621956229903", "semantic_fingerprint": "sha256:89fb8b3318f5ab7faf7b75947f776667a61e9f5115f76dc1dd04c259c28cc88f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001213", "prompt": "What value of x satisfies 10x = 11(x + 7) + 17?", "solution_steps": ["Expand: 10x = 11x + 77 + 17", "Combine constants: 10x = 11x + 94", "Subtract 11x from both sides: -x = 94", "Divide both sides by -1: x = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 11(x + 7) + 17", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 11, \"c\": 7, \"d\": 17}", "seed": "12648150232175427690", "semantic_fingerprint": "sha256:be0cfb62e4c7fe1e3c95926fd7af9f1801efabead3d8f4f0f801b8449a66f1ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001214", "prompt": "Solve the equation 9(x - 4) + 92 = 5(x + 8) for x.", "solution_steps": ["Expand: 9x - 36 + 92 = 5(x + 8)", "Expand: 9x - 36 + 92 = 5x + 40", "Combine constants: 9x + 56 = 5x + 40", "Subtract 5x from both sides: 4x + 56 = 40", "Subtract 56 from both sides: 4x = -16", "Divide both sides by 4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 4) + 92 = 5(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 92, \"d\": 5, \"e\": 8}", "seed": "15356845240721195887", "semantic_fingerprint": "sha256:8d72523fa9db14b9a6df786a25a59da37b1cfdff50a7d4c3a07f2d39204aaf58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001215", "prompt": "Calculate: 5 + (-1) / (998 + (-853 - (-1)))", "solution_steps": ["Subtract: -853 - (-1) = -852", "Add: 998 + (-852) = 146", "Divide: -1 / 146 = -1/146", "Add: 5 + (-1/146) = 729/146"], "final_answer": "729/146", "answer_type": "rational", "kind": "expression", "math_text": "5 + (-1) / (998 + (-853 - (-1)))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -1, \"c\": 998, \"d\": -853, \"e\": -1}", "seed": "6743538075571740980", "semantic_fingerprint": "sha256:e67fc13265dd335a7e60c9308f815c709827f8936efd7f2df5bc62bd7eef40b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001216", "prompt": "Compute: -4 * 1 * (92 * 54) / (-47)", "solution_steps": ["Multiply: -4 * 1 = -4", "Multiply: 92 * 54 = 4968", "Multiply: -4 * 4968 = -19872", "Divide: -19872 / (-47) = 19872/47"], "final_answer": "19872/47", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 1 * (92 * 54) / (-47)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 1, \"c\": 92, \"d\": 54, \"e\": -47}", "seed": "10367730080143983426", "semantic_fingerprint": "sha256:f9161ce3d296c8d239a5bb824d42fc6b625f865c00ad6341f3c19d50f4bf079a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001217", "prompt": "Find x: 6x - 915 = 9(x - 99)", "solution_steps": ["Expand: 6x - 915 = 9x - 891", "Subtract 9x from both sides: -3x - 915 = -891", "Add 915 to both sides: -3x = 24", "Divide both sides by -3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 915 = 9(x - 99)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 99, \"e\": -915, \"x\": -8}", "seed": "18407121217181323009", "semantic_fingerprint": "sha256:87d86e996b419c5147a687ecc11f3203d33afe93104b0a9bffd821b984bb95de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001218", "prompt": "Solve for x: 2x = 8(x + 987) - 409", "solution_steps": ["Expand: 2x = 8x + 7896 - 409", "Combine constants: 2x = 8x + 7487", "Subtract 8x from both sides: -6x = 7487", "Divide both sides by -6: x = -7487/6"], "final_answer": "-7487/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 8(x + 987) - 409", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 987, \"d\": 409}", "seed": "2741466330227322608", "semantic_fingerprint": "sha256:2a1046413debe5754d21e7745a53c6127ed86d2d4d0bdbc0d504c092b95f1dbe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001219", "prompt": "What is -4 / (90 / (-9)) * (2 / 253)?", "solution_steps": ["Divide: 90 / (-9) = -10", "Divide: -4 / (-10) = 2/5", "Divide: 2 / 253 = 2/253", "Multiply: (2/5) * (2/253) = 4/1265"], "final_answer": "4/1265", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (90 / (-9)) * (2 / 253)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 90, \"c\": -9, \"d\": 2, \"e\": 253}", "seed": "10152710243088002388", "semantic_fingerprint": "sha256:3555c933a1d9fee5f3ad664ecc3aea25a01570a47a37fccbcac3b76865c3770c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001220", "prompt": "What value of x satisfies 12(x - 9) - 16 = x + 30?", "solution_steps": ["Expand: 12x - 108 - 16 = x + 30", "Combine constants: 12x - 124 = x + 30", "Subtract x from both sides: 11x - 124 = 30", "Add 124 to both sides: 11x = 154", "Divide both sides by 11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 9) - 16 = x + 30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 16, \"d\": 30}", "seed": "16255652231665313019", "semantic_fingerprint": "sha256:3d6aebd18600359f7f99bf274aa01dd693b065e8d3fdbba2e094ba7a244fb85f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001221", "prompt": "What value of x satisfies -12(x + 9) + 8 = x + 69?", "solution_steps": ["Expand: -12x - 108 + 8 = x + 69", "Combine constants: -12x - 100 = x + 69", "Subtract x from both sides: -13x - 100 = 69", "Add 100 to both sides: -13x = 169", "Divide both sides by -13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 9) + 8 = x + 69", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 8, \"e\": 69, \"x\": -13}", "seed": "16421401889113389880", "semantic_fingerprint": "sha256:a1f1e1869cb49a3cbb2869c36164e56c1b96c8c5b33f9f8085b78cbe440dccca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001222", "prompt": "What is 0 * 58 + (92 - 51)?", "solution_steps": ["Multiply: 0 * 58 = 0", "Subtract: 92 - 51 = 41", "Add: 0 + 41 = 41"], "final_answer": "41", "answer_type": "integer", "kind": "expression", "math_text": "0 * 58 + (92 - 51)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 58, \"c\": 92, \"d\": 51}", "seed": "14995305647660285997", "semantic_fingerprint": "sha256:4796cbf7b1f18314c6f8389ca441c42dccb0a36c317b3a5f13150e52b21478c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001223", "prompt": "Evaluate: (0 + 83) * (-802 + 35 * 9)", "solution_steps": ["Add: 0 + 83 = 83", "Multiply: 35 * 9 = 315", "Add: -802 + 315 = -487", "Multiply: 83 * (-487) = -40421"], "final_answer": "-40421", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 83) * (-802 + 35 * 9)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 83, \"c\": -802, \"d\": 35, \"e\": 9}", "seed": "2153126428172999080", "semantic_fingerprint": "sha256:5ebf85618ec9a8b053e19e58a6908be161ded985c54d1ab8e750b2205d291e6e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001224", "prompt": "What is (-63 - 0 * 8) / (-412)?", "solution_steps": ["Multiply: 0 * 8 = 0", "Subtract: -63 - 0 = -63", "Divide: -63 / (-412) = 63/412"], "final_answer": "63/412", "answer_type": "rational", "kind": "expression", "math_text": "(-63 - 0 * 8) / (-412)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 0, \"c\": 8, \"d\": -412}", "seed": "12114915724827500523", "semantic_fingerprint": "sha256:b89d7fda9787ff82539e0c05a09dacfb20237d4960dae99f07cd2989e1ac97b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001225", "prompt": "Find x: 2(x + 37) + 19 = x + 104", "solution_steps": ["Expand: 2x + 74 + 19 = x + 104", "Combine constants: 2x + 93 = x + 104", "Subtract x from both sides: x + 93 = 104", "Subtract 93 from both sides: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 37) + 19 = x + 104", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 37, \"c\": 19, \"e\": 104, \"x\": 11}", "seed": "16655335342259080853", "semantic_fingerprint": "sha256:73ec6f509bea0146665ea8ce5767e62609f2d9f5e62b336a47a1bdd4a4984730", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001226", "prompt": "Compute: 6 + (-68 - (7 + 2))", "solution_steps": ["Add: 7 + 2 = 9", "Subtract: -68 - 9 = -77", "Add: 6 + (-77) = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-68 - (7 + 2))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -68, \"c\": 7, \"d\": 2}", "seed": "16566250381912453288", "semantic_fingerprint": "sha256:24ae7688d349055bb815b368c159f835bd65dadaf7c0f73caf2e55051406a3a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001227", "prompt": "What is -95 * 915 + (-4) * (-438 * 17)?", "solution_steps": ["Multiply: -95 * 915 = -86925", "Multiply: -438 * 17 = -7446", "Multiply: -4 * (-7446) = 29784", "Add: -86925 + 29784 = -57141"], "final_answer": "-57141", "answer_type": "integer", "kind": "expression", "math_text": "-95 * 915 + (-4) * (-438 * 17)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 915, \"c\": -4, \"d\": -438, \"e\": 17}", "seed": "5020002235567946336", "semantic_fingerprint": "sha256:db45f5f34d01346a94f23ec14d7a9be69b393b7f4ad00736e824cee8abad90c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001228", "prompt": "Evaluate: -262 - (5 + 710) / (-20)", "solution_steps": ["Add: 5 + 710 = 715", "Divide: 715 / (-20) = -143/4", "Subtract: -262 - (-143/4) = -905/4"], "final_answer": "-905/4", "answer_type": "rational", "kind": "expression", "math_text": "-262 - (5 + 710) / (-20)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -262, \"b\": 5, \"c\": 710, \"d\": -20}", "seed": "6391490997235759816", "semantic_fingerprint": "sha256:9a9392a24a3425da64a25df90cd8dc06691baeb143deb9d7d5236926613fd0cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001229", "prompt": "Evaluate: -8 + (-6 + (-73) - (-1) * (-4))", "solution_steps": ["Add: -6 + (-73) = -79", "Multiply: -1 * (-4) = 4", "Subtract: -79 - 4 = -83", "Add: -8 + (-83) = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-6 + (-73) - (-1) * (-4))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -6, \"c\": -73, \"d\": -1, \"e\": -4}", "seed": "14145474730059922381", "semantic_fingerprint": "sha256:f7b4c645e046714e90194915776e2f007dc163bf26854f43eddd3a5b30e7ec08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001230", "prompt": "What is -21 / (6 * (-33 + 403))?", "solution_steps": ["Add: -33 + 403 = 370", "Multiply: 6 * 370 = 2220", "Divide: -21 / 2220 = -7/740"], "final_answer": "-7/740", "answer_type": "rational", "kind": "expression", "math_text": "-21 / (6 * (-33 + 403))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 6, \"c\": -33, \"d\": 403}", "seed": "3822459688852676843", "semantic_fingerprint": "sha256:4c0735bb01f49c03749b52727bad2bf7bb43d727990a145068580a6b9b1f1136", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001231", "prompt": "Solve the equation -3x - 501 = 8x - 688 for x.", "solution_steps": ["Subtract 8x from both sides: -11x - 501 = -688", "Add 501 to both sides: -11x = -187", "Divide both sides by -11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 501 = 8x - 688", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 501, \"c\": 8, \"e\": -688, \"x\": 17}", "seed": "11362985123356729160", "semantic_fingerprint": "sha256:a4bdd0d3ad901d49aad5e87919b669e20ab6c5ff5267e9a9ea3b03571686c3d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001232", "prompt": "Find x: 4(x + 97) + 23 = x + 438", "solution_steps": ["Expand: 4x + 388 + 23 = x + 438", "Combine constants: 4x + 411 = x + 438", "Subtract x from both sides: 3x + 411 = 438", "Subtract 411 from both sides: 3x = 27", "Divide both sides by 3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 97) + 23 = x + 438", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 97, \"c\": 23, \"e\": 438, \"x\": 9}", "seed": "6070352032324831221", "semantic_fingerprint": "sha256:cf1606d54fe6f3b40cbf521792e7d5115ac2e85d6122c058463e8b53c5286d5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001233", "prompt": "What is 41 * 3 + (-596) * 8?", "solution_steps": ["Multiply: 41 * 3 = 123", "Multiply: -596 * 8 = -4768", "Add: 123 + (-4768) = -4645"], "final_answer": "-4645", "answer_type": "integer", "kind": "expression", "math_text": "41 * 3 + (-596) * 8", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 3, \"c\": -596, \"d\": 8}", "seed": "10943679921244536384", "semantic_fingerprint": "sha256:139f406e7c6f818fb5f97965fe0c56c702b8ef92afa6b51e94be2a3e84be76fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001234", "prompt": "Calculate: 538 * 77 - (5 - (-38) / (-4))", "solution_steps": ["Multiply: 538 * 77 = 41426", "Divide: -38 / (-4) = 19/2", "Subtract: 5 - 19/2 = -9/2", "Subtract: 41426 - (-9/2) = 82861/2"], "final_answer": "82861/2", "answer_type": "rational", "kind": "expression", "math_text": "538 * 77 - (5 - (-38) / (-4))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 538, \"b\": 77, \"c\": 5, \"d\": -38, \"e\": -4}", "seed": "144664398799093258", "semantic_fingerprint": "sha256:d57059580b8acdeed28306317b840a69355cb5bdd469cf3988f9d31c09d42baa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001235", "prompt": "What value of x satisfies -8(x - 39) - 235 = x + 14?", "solution_steps": ["Expand: -8x + 312 - 235 = x + 14", "Combine constants: -8x + 77 = x + 14", "Subtract x from both sides: -9x + 77 = 14", "Subtract 77 from both sides: -9x = -63", "Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 39) - 235 = x + 14", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 39, \"c\": 235, \"e\": 14, \"x\": 7}", "seed": "11373628778582586546", "semantic_fingerprint": "sha256:2f8982dc0742edf75604f852dcef9f915ed368fa7f098a80192f01858d99001a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001236", "prompt": "What is 780 / (408 + (-9 - 55)) - (6 + 1)?", "solution_steps": ["Subtract: -9 - 55 = -64", "Add: 408 + (-64) = 344", "Divide: 780 / 344 = 195/86", "Add: 6 + 1 = 7", "Subtract: 195/86 - 7 = -407/86"], "final_answer": "-407/86", "answer_type": "rational", "kind": "expression", "math_text": "780 / (408 + (-9 - 55)) - (6 + 1)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ n (- n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 780, \"b\": 408, \"c\": -9, \"d\": 55, \"e\": 6, \"f\": 1}", "seed": "1398504220223739645", "semantic_fingerprint": "sha256:9fffa35516a64bff101e60c4d4379faa9150b8879b808102165197fef31ef436", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001237", "prompt": "Find x: 7x - 206 = 6x - 225", "solution_steps": ["Subtract 6x from both sides: x - 206 = -225", "Add 206 to both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 206 = 6x - 225", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 206, \"c\": 6, \"e\": -225, \"x\": -19}", "seed": "9779224535404008609", "semantic_fingerprint": "sha256:3bef46fe09271ab4ff099579745c9ab37c1396c5f6066c7ed6fb8388fad5e1a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001238", "prompt": "Calculate: -584 + ((89 + 5) * 78 - (-661))", "solution_steps": ["Add: 89 + 5 = 94", "Multiply: 94 * 78 = 7332", "Subtract: 7332 - (-661) = 7993", "Add: -584 + 7993 = 7409"], "final_answer": "7409", "answer_type": "integer", "kind": "expression", "math_text": "-584 + ((89 + 5) * 78 - (-661))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -584, \"b\": 89, \"c\": 5, \"d\": 78, \"e\": -661}", "seed": "8812937600761781186", "semantic_fingerprint": "sha256:304971acb3091160ef82e9895be2e4f565c8e7100e95c55aad31dfe2883c4e92", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001239", "prompt": "Solve for x: 3x = 6(x + 68) - 468", "solution_steps": ["Expand: 3x = 6x + 408 - 468", "Combine constants: 3x = 6x - 60", "Subtract 6x from both sides: -3x = -60", "Divide both sides by -3: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 6(x + 68) - 468", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 68, \"e\": -468, \"x\": 20}", "seed": "5713002398513305622", "semantic_fingerprint": "sha256:fc7ba05cb90fc5bafd590a8a20d3caf6d7cf1facc9290fde0573d22013f1f7fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001240", "prompt": "Compute: 339 + (-70) + 35 + (-7 + (-19))", "solution_steps": ["Add: 339 + (-70) = 269", "Add: 269 + 35 = 304", "Add: -7 + (-19) = -26", "Add: 304 + (-26) = 278"], "final_answer": "278", "answer_type": "integer", "kind": "expression", "math_text": "339 + (-70) + 35 + (-7 + (-19))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 339, \"b\": -70, \"c\": 35, \"d\": -7, \"e\": -19}", "seed": "2249482522508268047", "semantic_fingerprint": "sha256:d32821777c8e01c5236c15c973d8caec4e00fe8565a1f12747d2799320bca1e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001241", "prompt": "What is 844 * (-597) + (-2) * 5?", "solution_steps": ["Multiply: 844 * (-597) = -503868", "Multiply: -2 * 5 = -10", "Add: -503868 + (-10) = -503878"], "final_answer": "-503878", "answer_type": "integer", "kind": "expression", "math_text": "844 * (-597) + (-2) * 5", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 844, \"b\": -597, \"c\": -2, \"d\": 5}", "seed": "9310128921354207910", "semantic_fingerprint": "sha256:4ce2998637fbd99f9e110715885fc53750489f03dcd11a1051d107ff7a0b83a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001242", "prompt": "Solve for x: 7x - 76 = 12x - 121", "solution_steps": ["Subtract 12x from both sides: -5x - 76 = -121", "Add 76 to both sides: -5x = -45", "Divide both sides by -5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 76 = 12x - 121", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 76, \"c\": 12, \"e\": -121, \"x\": 9}", "seed": "9464109217724130175", "semantic_fingerprint": "sha256:8a34e91631cbe9b649daf5d497b13232f7d7c1b596bec2fa6fa138b2cb9f230f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001243", "prompt": "Solve the equation 3(x + 96) + 67 = x + 391 for x.", "solution_steps": ["Expand: 3x + 288 + 67 = x + 391", "Combine constants: 3x + 355 = x + 391", "Subtract x from both sides: 2x + 355 = 391", "Subtract 355 from both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 96) + 67 = x + 391", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 96, \"c\": 67, \"e\": 391, \"x\": 18}", "seed": "9774512688701321690", "semantic_fingerprint": "sha256:071a31c15b0310295ea7cf50055c32ec5b2de6617fa9bf4e67093f172df567cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001244", "prompt": "What is -51 + 5 - (-99 - 5 + (-4) / 17)?", "solution_steps": ["Add: -51 + 5 = -46", "Subtract: -99 - 5 = -104", "Divide: -4 / 17 = -4/17", "Add: -104 + (-4/17) = -1772/17", "Subtract: -46 - (-1772/17) = 990/17"], "final_answer": "990/17", "answer_type": "rational", "kind": "expression", "math_text": "-51 + 5 - (-99 - 5 + (-4) / 17)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 5, \"c\": -99, \"d\": 5, \"e\": -4, \"f\": 17}", "seed": "16936197097082754136", "semantic_fingerprint": "sha256:fb4b03565adfc252bda5c03325ee09d2c7f6e86b47ce1c7b56452c160c873eab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001245", "prompt": "Compute: -85 * 75 / (0 * (-7) + 62)", "solution_steps": ["Multiply: -85 * 75 = -6375", "Multiply: 0 * (-7) = 0", "Add: 0 + 62 = 62", "Divide: -6375 / 62 = -6375/62"], "final_answer": "-6375/62", "answer_type": "rational", "kind": "expression", "math_text": "-85 * 75 / (0 * (-7) + 62)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 75, \"c\": 0, \"d\": -7, \"e\": 62}", "seed": "313655772395039202", "semantic_fingerprint": "sha256:7e024edf6d6531bea5479030beb6db2b0b77c16b147a0e5ae0ae62eb231a3d70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001246", "prompt": "Compute: -87 / (8 + 0) * (1 / (-59 * 9))", "solution_steps": ["Add: 8 + 0 = 8", "Divide: -87 / 8 = -87/8", "Multiply: -59 * 9 = -531", "Divide: 1 / (-531) = -1/531", "Multiply: (-87/8) * (-1/531) = 29/1416"], "final_answer": "29/1416", "answer_type": "rational", "kind": "expression", "math_text": "-87 / (8 + 0) * (1 / (-59 * 9))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ n n)) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 8, \"c\": 0, \"d\": 1, \"e\": -59, \"f\": 9}", "seed": "14859163082006215891", "semantic_fingerprint": "sha256:581c32e3eac50c3335972a8b2861ab201cd29c33bb44714495c0215a6eb4cab6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001247", "prompt": "Compute: -103 / (-7) * (36 / 20)", "solution_steps": ["Divide: -103 / (-7) = 103/7", "Divide: 36 / 20 = 9/5", "Multiply: (103/7) * (9/5) = 927/35"], "final_answer": "927/35", "answer_type": "rational", "kind": "expression", "math_text": "-103 / (-7) * (36 / 20)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -103, \"b\": -7, \"c\": 36, \"d\": 20}", "seed": "15733663723687968197", "semantic_fingerprint": "sha256:63f4f266e14501bba9e8d424e9a5245362e393cbe352f2aec21db7b5bd72663d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001248", "prompt": "What is 0 * (142 - 987 - 5) / (13 - 4)?", "solution_steps": ["Subtract: 142 - 987 = -845", "Subtract: -845 - 5 = -850", "Multiply: 0 * (-850) = 0", "Subtract: 13 - 4 = 9", "Divide: 0 / 9 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (142 - 987 - 5) / (13 - 4)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- (- n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 142, \"c\": 987, \"d\": 5, \"e\": 13, \"f\": 4}", "seed": "5543070863012141562", "semantic_fingerprint": "sha256:4dd998279eb82b5039bc855c77ad11dacbf56efcef7ce905310bbd2e6f2873e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001249", "prompt": "Solve the equation 4(x - 345) + 68 = 9(x + 65) for x.", "solution_steps": ["Expand: 4x - 1380 + 68 = 9(x + 65)", "Expand: 4x - 1380 + 68 = 9x + 585", "Combine constants: 4x - 1312 = 9x + 585", "Subtract 9x from both sides: -5x - 1312 = 585", "Add 1312 to both sides: -5x = 1897", "Divide both sides by -5: x = -1897/5"], "final_answer": "-1897/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 345) + 68 = 9(x + 65)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 345, \"c\": 68, \"d\": 9, \"e\": 65}", "seed": "1326300456156095849", "semantic_fingerprint": "sha256:3821be1e29e6390c30f099772792115fd60bba5266b7c1c5d73fbdbce9bec694", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001250", "prompt": "Solve the equation 5x = 2(x + 917) + 3 for x.", "solution_steps": ["Expand: 5x = 2x + 1834 + 3", "Combine constants: 5x = 2x + 1837", "Subtract 2x from both sides: 3x = 1837", "Divide both sides by 3: x = 1837/3"], "final_answer": "1837/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 2(x + 917) + 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 917, \"d\": 3}", "seed": "6459023809525092566", "semantic_fingerprint": "sha256:5ddf6a4681c277d9d8e778334d5868e3f7552759f755bfb9287361df62f628f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001251", "prompt": "Compute: (891 + 699) / (59 + 41)", "solution_steps": ["Add: 891 + 699 = 1590", "Add: 59 + 41 = 100", "Divide: 1590 / 100 = 159/10"], "final_answer": "159/10", "answer_type": "rational", "kind": "expression", "math_text": "(891 + 699) / (59 + 41)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 891, \"b\": 699, \"c\": 59, \"d\": 41}", "seed": "5639539413906770533", "semantic_fingerprint": "sha256:7e2b44623a85d5645cc9bbe1933c0084c50463ff9ae9f0d906757a42e7b1a6c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001252", "prompt": "What value of x satisfies -12(x + 173) + 64 = x + 8?", "solution_steps": ["Expand: -12x - 2076 + 64 = x + 8", "Combine constants: -12x - 2012 = x + 8", "Subtract x from both sides: -13x - 2012 = 8", "Add 2012 to both sides: -13x = 2020", "Divide both sides by -13: x = -2020/13"], "final_answer": "-2020/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 173) + 64 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 173, \"c\": 64, \"d\": 8}", "seed": "12856337108322574600", "semantic_fingerprint": "sha256:a66d3a0c5c3fbf17348efc15736f837e631237d2606eb051fbb7037a83124f3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001253", "prompt": "Calculate: (-722 * 0 * 79 - (-26)) * 2", "solution_steps": ["Multiply: -722 * 0 = 0", "Multiply: 0 * 79 = 0", "Subtract: 0 - (-26) = 26", "Multiply: 26 * 2 = 52"], "final_answer": "52", "answer_type": "integer", "kind": "expression", "math_text": "(-722 * 0 * 79 - (-26)) * 2", "variable": null, "family": "expression_4op", "shape": "(* (- (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -722, \"b\": 0, \"c\": 79, \"d\": -26, \"e\": 2}", "seed": "13333851846553801994", "semantic_fingerprint": "sha256:f85913622f07ac565beee76c807eb1e96f0dc4f19db5b88b19e4d48d55b2bba5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001254", "prompt": "Solve the equation 11x - 477 = -10x - 897 for x.", "solution_steps": ["Add 10x to both sides: 21x - 477 = -897", "Add 477 to both sides: 21x = -420", "Divide both sides by 21: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 477 = -10x - 897", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 477, \"c\": -10, \"e\": -897, \"x\": -20}", "seed": "8557277181559868112", "semantic_fingerprint": "sha256:589b5ccae8a02ad213b8d7c85c9b5147bcb7a5bae7be43724d287b1421fc6b43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001255", "prompt": "Solve the equation -11(x + 731) + 35 = x + 4 for x.", "solution_steps": ["Expand: -11x - 8041 + 35 = x + 4", "Combine constants: -11x - 8006 = x + 4", "Subtract x from both sides: -12x - 8006 = 4", "Add 8006 to both sides: -12x = 8010", "Divide both sides by -12: x = -1335/2"], "final_answer": "-1335/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 731) + 35 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 731, \"c\": 35, \"d\": 4}", "seed": "7919148241196519976", "semantic_fingerprint": "sha256:bfbd8fb6f988bc1053870ce3f68f72bc5bb765335597b6082be31d4c361cf7da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001256", "prompt": "Solve the equation 5x = 3(x + 1) + 33 for x.", "solution_steps": ["Expand: 5x = 3x + 3 + 33", "Combine constants: 5x = 3x + 36", "Subtract 3x from both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 3(x + 1) + 33", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 1, \"e\": 33, \"x\": 18}", "seed": "12752333300293476853", "semantic_fingerprint": "sha256:87a01a00f8968291d11fb2cc75a352e40216f48a02bd40ee1381b623f77e8264", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001257", "prompt": "Calculate: -8 / (-63) * (-1 - 112 - 7)", "solution_steps": ["Divide: -8 / (-63) = 8/63", "Subtract: -1 - 112 = -113", "Subtract: -113 - 7 = -120", "Multiply: (8/63) * (-120) = -320/21"], "final_answer": "-320/21", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-63) * (-1 - 112 - 7)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -63, \"c\": -1, \"d\": 112, \"e\": 7}", "seed": "2282557119296831058", "semantic_fingerprint": "sha256:bf51f45ee2b321492652f7190bdf0244afde95f9b6f15308cc1c19bfdd30fa17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001258", "prompt": "Evaluate: -781 + 34 - (1 + 2 / (-7))", "solution_steps": ["Add: -781 + 34 = -747", "Divide: 2 / (-7) = -2/7", "Add: 1 + (-2/7) = 5/7", "Subtract: -747 - 5/7 = -5234/7"], "final_answer": "-5234/7", "answer_type": "rational", "kind": "expression", "math_text": "-781 + 34 - (1 + 2 / (-7))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -781, \"b\": 34, \"c\": 1, \"d\": 2, \"e\": -7}", "seed": "3351605958193366209", "semantic_fingerprint": "sha256:d22b910e065ade10c7688cf16210a7c5a70ba9afc47a7735bf5834a8a46a2381", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001259", "prompt": "Solve for x: -2x - 8 = 4(x - 93)", "solution_steps": ["Expand: -2x - 8 = 4x - 372", "Subtract 4x from both sides: -6x - 8 = -372", "Add 8 to both sides: -6x = -364", "Divide both sides by -6: x = 182/3"], "final_answer": "182/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 8 = 4(x - 93)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 4, \"d\": 93}", "seed": "1954833117588241404", "semantic_fingerprint": "sha256:2ba236564c264fb9ddeed7bcd71f8329c522331411e3b2ba13b752604a58c658", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001260", "prompt": "Find x: 2(x + 81) = 5(x - 7) + 137", "solution_steps": ["Expand: 2x + 162 = 5(x - 7) + 137", "Expand: 2x + 162 = 5x - 35 + 137", "Combine constants: 2x + 162 = 5x + 102", "Subtract 5x from both sides: -3x + 162 = 102", "Subtract 162 from both sides: -3x = -60", "Divide both sides by -3: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 81) = 5(x - 7) + 137", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 81, \"c\": 5, \"d\": 7, \"f\": 137, \"x\": 20}", "seed": "5370391014927561218", "semantic_fingerprint": "sha256:a7671a52bde5877ff2cee87c693face041f80ef243b087814a5c13f5b9507423", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001261", "prompt": "Compute: (-65 * 0 - (719 + (-33))) * (-3)", "solution_steps": ["Multiply: -65 * 0 = 0", "Add: 719 + (-33) = 686", "Subtract: 0 - 686 = -686", "Multiply: -686 * (-3) = 2058"], "final_answer": "2058", "answer_type": "integer", "kind": "expression", "math_text": "(-65 * 0 - (719 + (-33))) * (-3)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 0, \"c\": 719, \"d\": -33, \"e\": -3}", "seed": "9720399306809490484", "semantic_fingerprint": "sha256:f85b492426ab2ef55b4864e390c26457a2d62424cc2735d29948dcb904ae527c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001262", "prompt": "What is -8 * 309 * (23 / 892)?", "solution_steps": ["Multiply: -8 * 309 = -2472", "Divide: 23 / 892 = 23/892", "Multiply: -2472 * (23/892) = -14214/223"], "final_answer": "-14214/223", "answer_type": "rational", "kind": "expression", "math_text": "-8 * 309 * (23 / 892)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 309, \"c\": 23, \"d\": 892}", "seed": "2921313322023992127", "semantic_fingerprint": "sha256:d2e26aae9fc3f4a154481733edd36e9b2192a91f49183ea368bb1c2d4cab3b5d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001263", "prompt": "Compute: -9 + (-33) + (-9 + (-1)) - (-70)", "solution_steps": ["Add: -9 + (-33) = -42", "Add: -9 + (-1) = -10", "Add: -42 + (-10) = -52", "Subtract: -52 - (-70) = 18"], "final_answer": "18", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-33) + (-9 + (-1)) - (-70)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -33, \"c\": -9, \"d\": -1, \"e\": -70}", "seed": "3839259919173093653", "semantic_fingerprint": "sha256:4595e781419cbdc9fa919bd72f86f8e526f09b64dd290a966caddecc83aa1448", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001264", "prompt": "Calculate: 989 / (-5 + 286 / (3 - (-95)))", "solution_steps": ["Subtract: 3 - (-95) = 98", "Divide: 286 / 98 = 143/49", "Add: -5 + 143/49 = -102/49", "Divide: 989 / (-102/49) = -48461/102"], "final_answer": "-48461/102", "answer_type": "rational", "kind": "expression", "math_text": "989 / (-5 + 286 / (3 - (-95)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 989, \"b\": -5, \"c\": 286, \"d\": 3, \"e\": -95}", "seed": "6948589259197394948", "semantic_fingerprint": "sha256:ec329a8be63ffcae5c61eee8195c1a3ab8a40be4f18c0b57e5bf36255af6eb27", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001265", "prompt": "Solve for x: -4x = 3(x + 7) + 67", "solution_steps": ["Expand: -4x = 3x + 21 + 67", "Combine constants: -4x = 3x + 88", "Subtract 3x from both sides: -7x = 88", "Divide both sides by -7: x = -88/7"], "final_answer": "-88/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 3(x + 7) + 67", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 7, \"d\": 67}", "seed": "13530073057532443960", "semantic_fingerprint": "sha256:5b31d8bed9b73efb7fe286dbe6dcd04b549b7fa1cd44e386fa53f3387ed89556", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001266", "prompt": "Evaluate: 8 / (-75 / 64) + (14 + 2) * 81", "solution_steps": ["Divide: -75 / 64 = -75/64", "Divide: 8 / (-75/64) = -512/75", "Add: 14 + 2 = 16", "Multiply: 16 * 81 = 1296", "Add: -512/75 + 1296 = 96688/75"], "final_answer": "96688/75", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-75 / 64) + (14 + 2) * 81", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -75, \"c\": 64, \"d\": 14, \"e\": 2, \"f\": 81}", "seed": "8492699843603038544", "semantic_fingerprint": "sha256:8de8081bdd0bc8e8e48e5f02bef7a67223a3e885a59ff6399bf3a3603d0badb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001267", "prompt": "Compute: -2 / 8 - 41 * (9 + 9)", "solution_steps": ["Divide: -2 / 8 = -1/4", "Add: 9 + 9 = 18", "Multiply: 41 * 18 = 738", "Subtract: -1/4 - 738 = -2953/4"], "final_answer": "-2953/4", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 8 - 41 * (9 + 9)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 41, \"d\": 9, \"e\": 9}", "seed": "15556482852737060186", "semantic_fingerprint": "sha256:ad2b97fbab768b6fc59d6c86285db3c1107297fbee77bd11477f9b839e007be3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001268", "prompt": "What value of x satisfies -5x = 10(x + 491) + 5?", "solution_steps": ["Expand: -5x = 10x + 4910 + 5", "Combine constants: -5x = 10x + 4915", "Subtract 10x from both sides: -15x = 4915", "Divide both sides by -15: x = -983/3"], "final_answer": "-983/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 10(x + 491) + 5", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 10, \"c\": 491, \"d\": 5}", "seed": "5488763408306587666", "semantic_fingerprint": "sha256:c8ec0765c4441382c6076f007ef2b001cfdd1faa4ce2f8cac6a63cb22e8a6b1a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001269", "prompt": "What value of x satisfies 4(x + 73) + 46 = x + 362?", "solution_steps": ["Expand: 4x + 292 + 46 = x + 362", "Combine constants: 4x + 338 = x + 362", "Subtract x from both sides: 3x + 338 = 362", "Subtract 338 from both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 73) + 46 = x + 362", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 73, \"c\": 46, \"e\": 362, \"x\": 8}", "seed": "16918470357627055686", "semantic_fingerprint": "sha256:307d3720b5acd0e5f59d0c6f433ba09dfabe161fd489deb3f9a2bec40ee0a2d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001270", "prompt": "Find x: 2x = 12(x + 79) + 5", "solution_steps": ["Expand: 2x = 12x + 948 + 5", "Combine constants: 2x = 12x + 953", "Subtract 12x from both sides: -10x = 953", "Divide both sides by -10: x = -953/10"], "final_answer": "-953/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 12(x + 79) + 5", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 79, \"d\": 5}", "seed": "2165810768670668716", "semantic_fingerprint": "sha256:72af527d00d06b9078ee49645304b158e5f639d536aa1a596cf2c8eca089ad0a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001271", "prompt": "Evaluate: 6 - (-16 + (-53)) / (-236)", "solution_steps": ["Add: -16 + (-53) = -69", "Divide: -69 / (-236) = 69/236", "Subtract: 6 - 69/236 = 1347/236"], "final_answer": "1347/236", "answer_type": "rational", "kind": "expression", "math_text": "6 - (-16 + (-53)) / (-236)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -16, \"c\": -53, \"d\": -236}", "seed": "11075557518009586731", "semantic_fingerprint": "sha256:c28ee26c61681fe05815ec6384b013af6fd98a52ada52e1fc3d27dbaa2087f0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001272", "prompt": "Calculate: (66 - (-31) - (-463)) * (-78)", "solution_steps": ["Subtract: 66 - (-31) = 97", "Subtract: 97 - (-463) = 560", "Multiply: 560 * (-78) = -43680"], "final_answer": "-43680", "answer_type": "integer", "kind": "expression", "math_text": "(66 - (-31) - (-463)) * (-78)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -31, \"c\": -463, \"d\": -78}", "seed": "2800957067240857910", "semantic_fingerprint": "sha256:373075916e870289f68de4df165457e28015e6781cf2ae10424f2666d40e0f13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001273", "prompt": "Solve the equation 12(x + 9) + 58 = x + 144 for x.", "solution_steps": ["Expand: 12x + 108 + 58 = x + 144", "Combine constants: 12x + 166 = x + 144", "Subtract x from both sides: 11x + 166 = 144", "Subtract 166 from both sides: 11x = -22", "Divide both sides by 11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 9) + 58 = x + 144", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 58, \"e\": 144, \"x\": -2}", "seed": "18159566282173984204", "semantic_fingerprint": "sha256:6a4f50b9301611c6646ca3fd264a90ecc56672286277565300ba59ef6c2b7820", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001274", "prompt": "Compute: -73 * (9 - 3) + 17 * 88", "solution_steps": ["Subtract: 9 - 3 = 6", "Multiply: -73 * 6 = -438", "Multiply: 17 * 88 = 1496", "Add: -438 + 1496 = 1058"], "final_answer": "1058", "answer_type": "integer", "kind": "expression", "math_text": "-73 * (9 - 3) + 17 * 88", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 9, \"c\": 3, \"d\": 17, \"e\": 88}", "seed": "1313342547599075000", "semantic_fingerprint": "sha256:1a6c2e5104165dc54890210e16d5ca0a325fa14af35bef1584fbaa45b8e7032f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001275", "prompt": "Evaluate: -619 / (51 - 5 + (3 + 7))", "solution_steps": ["Subtract: 51 - 5 = 46", "Add: 3 + 7 = 10", "Add: 46 + 10 = 56", "Divide: -619 / 56 = -619/56"], "final_answer": "-619/56", "answer_type": "rational", "kind": "expression", "math_text": "-619 / (51 - 5 + (3 + 7))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -619, \"b\": 51, \"c\": 5, \"d\": 3, \"e\": 7}", "seed": "5756594611943642289", "semantic_fingerprint": "sha256:03ce7577410100bf9c1c844508b761e8488affdaedb4a1cfa5acbf02265875e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001276", "prompt": "Solve the equation 5(x + 8) = 4(x - 63) + 297 for x.", "solution_steps": ["Expand: 5x + 40 = 4(x - 63) + 297", "Expand: 5x + 40 = 4x - 252 + 297", "Combine constants: 5x + 40 = 4x + 45", "Subtract 4x from both sides: x + 40 = 45", "Subtract 40 from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 8) = 4(x - 63) + 297", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 4, \"d\": 63, \"f\": 297, \"x\": 5}", "seed": "17714123021620580289", "semantic_fingerprint": "sha256:57fc8f11e9da9a2bf22c85680f4d57ae516003d067c3c426c2e8c26ca5249f28", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001277", "prompt": "Solve the equation 4(x + 9) = 9(x - 5) + 161 for x.", "solution_steps": ["Expand: 4x + 36 = 9(x - 5) + 161", "Expand: 4x + 36 = 9x - 45 + 161", "Combine constants: 4x + 36 = 9x + 116", "Subtract 9x from both sides: -5x + 36 = 116", "Subtract 36 from both sides: -5x = 80", "Divide both sides by -5: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) = 9(x - 5) + 161", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 9, \"d\": 5, \"f\": 161, \"x\": -16}", "seed": "3132325199754052740", "semantic_fingerprint": "sha256:2caf0396b9ed7e0704ac0975a9001421b722ff90a56b9cbb8d98801af8a7a207", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001278", "prompt": "Compute: 0 * (-4 * (-7)) * 1", "solution_steps": ["Multiply: -4 * (-7) = 28", "Multiply: 0 * 28 = 0", "Multiply: 0 * 1 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-4 * (-7)) * 1", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": -7, \"d\": 1}", "seed": "10712261170751868847", "semantic_fingerprint": "sha256:1c314175e0c14cbf27cf290eb9a3bae9ffd7667513481b816b7aa7a8e7b27ea2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001279", "prompt": "What is (-91 + 950) / (-5 + (-333))?", "solution_steps": ["Add: -91 + 950 = 859", "Add: -5 + (-333) = -338", "Divide: 859 / (-338) = -859/338"], "final_answer": "-859/338", "answer_type": "rational", "kind": "expression", "math_text": "(-91 + 950) / (-5 + (-333))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 950, \"c\": -5, \"d\": -333}", "seed": "1098470715604313153", "semantic_fingerprint": "sha256:b10552cc9fec4493406c2a6ed1a7fc9e2f848d1e65f2bc2735142e27368056dc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001280", "prompt": "Calculate: 5 * 11 - (-884) / (-19 + (-8))", "solution_steps": ["Multiply: 5 * 11 = 55", "Add: -19 + (-8) = -27", "Divide: -884 / (-27) = 884/27", "Subtract: 55 - 884/27 = 601/27"], "final_answer": "601/27", "answer_type": "rational", "kind": "expression", "math_text": "5 * 11 - (-884) / (-19 + (-8))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"c\": -884, \"d\": -19, \"e\": -8}", "seed": "11779631929010284174", "semantic_fingerprint": "sha256:7aeda5cbda7bcd85cc4df66b5d9e02032846da82e0cb91836eb4ad3496c17965", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001281", "prompt": "Compute: (429 - (-67)) * ((345 * 2 + (-2)) / 40)", "solution_steps": ["Subtract: 429 - (-67) = 496", "Multiply: 345 * 2 = 690", "Add: 690 + (-2) = 688", "Divide: 688 / 40 = 86/5", "Multiply: 496 * (86/5) = 42656/5"], "final_answer": "42656/5", "answer_type": "rational", "kind": "expression", "math_text": "(429 - (-67)) * ((345 * 2 + (-2)) / 40)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (+ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 429, \"b\": -67, \"c\": 345, \"d\": 2, \"e\": -2, \"f\": 40}", "seed": "8850741889881874296", "semantic_fingerprint": "sha256:1f6159a5a42519e18f8fd58881860c166bfdfb4791f2ebe74c3ab8a33b6aa18d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001282", "prompt": "Calculate: 0 + (-33 - (-2)) * (22 + (-382))", "solution_steps": ["Subtract: -33 - (-2) = -31", "Add: 22 + (-382) = -360", "Multiply: -31 * (-360) = 11160", "Add: 0 + 11160 = 11160"], "final_answer": "11160", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-33 - (-2)) * (22 + (-382))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -33, \"c\": -2, \"d\": 22, \"e\": -382}", "seed": "14020307168087428683", "semantic_fingerprint": "sha256:0c8d11787c6302516d8a38f8c66c49196e7013dde6bc39c70c698a20a8335574", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001283", "prompt": "Calculate: (57 - (-12) * 0) / (6 + (-2) - 73)", "solution_steps": ["Multiply: -12 * 0 = 0", "Subtract: 57 - 0 = 57", "Add: 6 + (-2) = 4", "Subtract: 4 - 73 = -69", "Divide: 57 / (-69) = -19/23"], "final_answer": "-19/23", "answer_type": "rational", "kind": "expression", "math_text": "(57 - (-12) * 0) / (6 + (-2) - 73)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -12, \"c\": 0, \"d\": 6, \"e\": -2, \"f\": 73}", "seed": "14356932078937694957", "semantic_fingerprint": "sha256:737149167423609cf85884799e7529e5dc264956945a759f51ca23b0519eb32b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001284", "prompt": "What value of x satisfies -8(x - 2) + 248 = 8(x + 7)?", "solution_steps": ["Expand: -8x + 16 + 248 = 8(x + 7)", "Expand: -8x + 16 + 248 = 8x + 56", "Combine constants: -8x + 264 = 8x + 56", "Subtract 8x from both sides: -16x + 264 = 56", "Subtract 264 from both sides: -16x = -208", "Divide both sides by -16: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 2) + 248 = 8(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"c\": 8, \"d\": 7, \"f\": 248, \"x\": 13}", "seed": "17774983909285838576", "semantic_fingerprint": "sha256:4715246b6583d79707b46859c346ee85bb191030fd8180bbadd121bb7bab36e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001285", "prompt": "Solve for x: 12(x + 55) + 5 = x + 6", "solution_steps": ["Expand: 12x + 660 + 5 = x + 6", "Combine constants: 12x + 665 = x + 6", "Subtract x from both sides: 11x + 665 = 6", "Subtract 665 from both sides: 11x = -659", "Divide both sides by 11: x = -659/11"], "final_answer": "-659/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 55) + 5 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 55, \"c\": 5, \"d\": 6}", "seed": "13409231552639126923", "semantic_fingerprint": "sha256:77c66875b278fb50933f2b8fcbc37880a9a784091df0a8afcc6337ea8c490c4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001286", "prompt": "Compute: 3 / (-632 * (-5 + (-9)))", "solution_steps": ["Add: -5 + (-9) = -14", "Multiply: -632 * (-14) = 8848", "Divide: 3 / 8848 = 3/8848"], "final_answer": "3/8848", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-632 * (-5 + (-9)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -632, \"c\": -5, \"d\": -9}", "seed": "17937180982095849484", "semantic_fingerprint": "sha256:f62745974fb6dc6960fd4dff457d780cd71c1ed46b7d6d4fc532ae0e1e569c76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001287", "prompt": "What value of x satisfies 6x = 9(x + 6) - 7?", "solution_steps": ["Expand: 6x = 9x + 54 - 7", "Combine constants: 6x = 9x + 47", "Subtract 9x from both sides: -3x = 47", "Divide both sides by -3: x = -47/3"], "final_answer": "-47/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 9(x + 6) - 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 6, \"d\": 7}", "seed": "11710235774603895661", "semantic_fingerprint": "sha256:b1c9c8abb6d8ede8cd70a9c3dad4aa6f20d363c351d9ce6362480eac06a37be1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001288", "prompt": "Solve the equation -10(x - 45) - 1 = x + 891 for x.", "solution_steps": ["Expand: -10x + 450 - 1 = x + 891", "Combine constants: -10x + 449 = x + 891", "Subtract x from both sides: -11x + 449 = 891", "Subtract 449 from both sides: -11x = 442", "Divide both sides by -11: x = -442/11"], "final_answer": "-442/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 45) - 1 = x + 891", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 45, \"c\": 1, \"d\": 891}", "seed": "8237178023812586837", "semantic_fingerprint": "sha256:2b5529a825e981525260fe616353129638baa0653f58e873d4ecb1e7447499f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001289", "prompt": "Evaluate: -2 - 50 / (-7 / (-625) * 10)", "solution_steps": ["Divide: -7 / (-625) = 7/625", "Multiply: (7/625) * 10 = 14/125", "Divide: 50 / (14/125) = 3125/7", "Subtract: -2 - 3125/7 = -3139/7"], "final_answer": "-3139/7", "answer_type": "rational", "kind": "expression", "math_text": "-2 - 50 / (-7 / (-625) * 10)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 50, \"c\": -7, \"d\": -625, \"e\": 10}", "seed": "18194291367792848122", "semantic_fingerprint": "sha256:25bacf1422d515d8047252c5fc68192d1bcb0704d964eb5f7bdfe21612b8a318", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001290", "prompt": "Evaluate: -8 - (-2 + 549) / 867 * (-77) - (-19)", "solution_steps": ["Add: -2 + 549 = 547", "Divide: 547 / 867 = 547/867", "Multiply: (547/867) * (-77) = -42119/867", "Subtract: -8 - (-42119/867) = 35183/867", "Subtract: 35183/867 - (-19) = 51656/867"], "final_answer": "51656/867", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-2 + 549) / 867 * (-77) - (-19)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* (/ (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -2, \"c\": 549, \"d\": 867, \"e\": -77, \"f\": -19}", "seed": "402206598766958547", "semantic_fingerprint": "sha256:170036a86bab120efe1cf7e768f5050b3155b7f662e58a89f92baf28c7185c1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001291", "prompt": "Calculate: (41 - (-980 + (-30))) * 733", "solution_steps": ["Add: -980 + (-30) = -1010", "Subtract: 41 - (-1010) = 1051", "Multiply: 1051 * 733 = 770383"], "final_answer": "770383", "answer_type": "integer", "kind": "expression", "math_text": "(41 - (-980 + (-30))) * 733", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -980, \"c\": -30, \"d\": 733}", "seed": "5126657698412175246", "semantic_fingerprint": "sha256:fc07066bf4d88fcde59452168547af45ff3fa25d5c39fb40cdbb6c6bb11af2f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001292", "prompt": "Find x: 2(x - 13) + 251 = 11(x + 9)", "solution_steps": ["Expand: 2x - 26 + 251 = 11(x + 9)", "Expand: 2x - 26 + 251 = 11x + 99", "Combine constants: 2x + 225 = 11x + 99", "Subtract 11x from both sides: -9x + 225 = 99", "Subtract 225 from both sides: -9x = -126", "Divide both sides by -9: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 13) + 251 = 11(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 13, \"c\": 11, \"d\": 9, \"f\": 251, \"x\": 14}", "seed": "14517724809974886165", "semantic_fingerprint": "sha256:84c3edc3f1f228b9a9a0dd7a95dc9d4149fa20bf95ff075955a7499c548cd03e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001293", "prompt": "Compute: 0 * (-365 + 657) + (-840 + (-54))", "solution_steps": ["Add: -365 + 657 = 292", "Multiply: 0 * 292 = 0", "Add: -840 + (-54) = -894", "Add: 0 + (-894) = -894"], "final_answer": "-894", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-365 + 657) + (-840 + (-54))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -365, \"c\": 657, \"d\": -840, \"e\": -54}", "seed": "9696297376042047991", "semantic_fingerprint": "sha256:3d87b45d1d9cb1006e6c5947a258cb83b3b19300492363b804a3a9053a63e197", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001294", "prompt": "What value of x satisfies -9x - 42 = 10x - 251?", "solution_steps": ["Subtract 10x from both sides: -19x - 42 = -251", "Add 42 to both sides: -19x = -209", "Divide both sides by -19: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 42 = 10x - 251", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 42, \"c\": 10, \"e\": -251, \"x\": 11}", "seed": "1595835496258786556", "semantic_fingerprint": "sha256:5ad57354aa2505602bceaee7294ceea9ad8f028a23e92e28723c98281c2d8f4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001295", "prompt": "What is -68 - (-5 + 73) / 3?", "solution_steps": ["Add: -5 + 73 = 68", "Divide: 68 / 3 = 68/3", "Subtract: -68 - 68/3 = -272/3"], "final_answer": "-272/3", "answer_type": "rational", "kind": "expression", "math_text": "-68 - (-5 + 73) / 3", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -5, \"c\": 73, \"d\": 3}", "seed": "3843945237418869117", "semantic_fingerprint": "sha256:004219b63e4319a19f9783ff36c98cca3ecb15714924c50b8d4db676903e4d16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001296", "prompt": "Find x: 12(x + 86) - 496 = x + 2", "solution_steps": ["Expand: 12x + 1032 - 496 = x + 2", "Combine constants: 12x + 536 = x + 2", "Subtract x from both sides: 11x + 536 = 2", "Subtract 536 from both sides: 11x = -534", "Divide both sides by 11: x = -534/11"], "final_answer": "-534/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 86) - 496 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 86, \"c\": 496, \"d\": 2}", "seed": "8606430263322186746", "semantic_fingerprint": "sha256:669bf8e9cbff6f865a4c655c5813788011a87c4b8f614861dc36d81cd7811e4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001297", "prompt": "Compute: 91 * (-3 / (-2) - 73) - 520", "solution_steps": ["Divide: -3 / (-2) = 3/2", "Subtract: 3/2 - 73 = -143/2", "Multiply: 91 * (-143/2) = -13013/2", "Subtract: -13013/2 - 520 = -14053/2"], "final_answer": "-14053/2", "answer_type": "rational", "kind": "expression", "math_text": "91 * (-3 / (-2) - 73) - 520", "variable": null, "family": "expression_4op", "shape": "(- (* n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -3, \"c\": -2, \"d\": 73, \"e\": 520}", "seed": "10127912728823110769", "semantic_fingerprint": "sha256:b1d47bc3ed5f903260d1f4d59d76cbe2e5f8bbcb92f4ecdcd1947c13f86386bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001298", "prompt": "Solve the equation 4x - 40 = -4x - 176 for x.", "solution_steps": ["Add 4x to both sides: 8x - 40 = -176", "Add 40 to both sides: 8x = -136", "Divide both sides by 8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 40 = -4x - 176", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 40, \"c\": -4, \"e\": -176, \"x\": -17}", "seed": "15568229438886713162", "semantic_fingerprint": "sha256:ca6605049c28a26f6a15fc72d969fa9ea32c9ea6f6df8cc8ae28e2eaf80f32aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001299", "prompt": "Solve the equation 7x - 5 = 3x - 33 for x.", "solution_steps": ["Subtract 3x from both sides: 4x - 5 = -33", "Add 5 to both sides: 4x = -28", "Divide both sides by 4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 5 = 3x - 33", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 3, \"e\": -33, \"x\": -7}", "seed": "5024418785344123786", "semantic_fingerprint": "sha256:e57b8ff88403d13f32c7b41c5db9ee0c8c2cde268b505a7c7422902d8cc5393a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001300", "prompt": "What value of x satisfies 3x = 4(x + 427) - 32?", "solution_steps": ["Expand: 3x = 4x + 1708 - 32", "Combine constants: 3x = 4x + 1676", "Subtract 4x from both sides: -x = 1676", "Divide both sides by -1: x = -1676"], "final_answer": "-1676", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 4(x + 427) - 32", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 427, \"d\": 32}", "seed": "12562927666432108909", "semantic_fingerprint": "sha256:f5c4ac33979d61fb2470e382edb6f5f454e6c15168988ed8c1000348a0073a31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001301", "prompt": "Calculate: -2 * (-25) * (-179) * (37 - (-62))", "solution_steps": ["Multiply: -2 * (-25) = 50", "Multiply: 50 * (-179) = -8950", "Subtract: 37 - (-62) = 99", "Multiply: -8950 * 99 = -886050"], "final_answer": "-886050", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-25) * (-179) * (37 - (-62))", "variable": null, "family": "expression_4op", "shape": "(* (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -25, \"c\": -179, \"d\": 37, \"e\": -62}", "seed": "11886589202662801302", "semantic_fingerprint": "sha256:c68b17c6aa05d19988352602918d740c077ded6ce0244ca4c52f9b696bbbb1a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001302", "prompt": "Calculate: 8 + (-81) * 88 - (12 + 0)", "solution_steps": ["Multiply: -81 * 88 = -7128", "Add: 8 + (-7128) = -7120", "Add: 12 + 0 = 12", "Subtract: -7120 - 12 = -7132"], "final_answer": "-7132", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-81) * 88 - (12 + 0)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -81, \"c\": 88, \"d\": 12, \"e\": 0}", "seed": "17470540386181161251", "semantic_fingerprint": "sha256:8ac2997f63007a5db1aa0ba7045fcc63d84ba243261bc7a510714cecc8e47b96", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001303", "prompt": "Evaluate: -8 * (37 + 31 * (-66))", "solution_steps": ["Multiply: 31 * (-66) = -2046", "Add: 37 + (-2046) = -2009", "Multiply: -8 * (-2009) = 16072"], "final_answer": "16072", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (37 + 31 * (-66))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 37, \"c\": 31, \"d\": -66}", "seed": "16210685920469939672", "semantic_fingerprint": "sha256:da27b52a0f4f79b85946a283ff21faa7adfa9e52308c93aa22b59c00a58ea35d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001304", "prompt": "Find x: 6(x + 89) - 27 = x + 447", "solution_steps": ["Expand: 6x + 534 - 27 = x + 447", "Combine constants: 6x + 507 = x + 447", "Subtract x from both sides: 5x + 507 = 447", "Subtract 507 from both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 89) - 27 = x + 447", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 89, \"c\": 27, \"e\": 447, \"x\": -12}", "seed": "14411199491717676309", "semantic_fingerprint": "sha256:5a87ef3ae24c67a08953365744b2e597b8aecc13d850e840ff9d59d821bd3e6b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001305", "prompt": "Evaluate: 76 - (4 / (-92) - 991) - (-1)", "solution_steps": ["Divide: 4 / (-92) = -1/23", "Subtract: -1/23 - 991 = -22794/23", "Subtract: 76 - (-22794/23) = 24542/23", "Subtract: 24542/23 - (-1) = 24565/23"], "final_answer": "24565/23", "answer_type": "rational", "kind": "expression", "math_text": "76 - (4 / (-92) - 991) - (-1)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 4, \"c\": -92, \"d\": 991, \"e\": -1}", "seed": "13473281636557188213", "semantic_fingerprint": "sha256:91dceefd80fbc54b1dd3bfda152ca4dc1ab2b201dd344d45b0d10a813bf60af7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001306", "prompt": "What is 6 * (-49) + (-561) / (-4 - (-1))?", "solution_steps": ["Multiply: 6 * (-49) = -294", "Subtract: -4 - (-1) = -3", "Divide: -561 / (-3) = 187", "Add: -294 + 187 = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-49) + (-561) / (-4 - (-1))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -49, \"c\": -561, \"d\": -4, \"e\": -1}", "seed": "1362786590831240701", "semantic_fingerprint": "sha256:1098d6fddecc43e388411be1090ecddf18317dfd63ecf564385184230052b180", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001307", "prompt": "Find x: 10(x + 91) - 307 = x + 423", "solution_steps": ["Expand: 10x + 910 - 307 = x + 423", "Combine constants: 10x + 603 = x + 423", "Subtract x from both sides: 9x + 603 = 423", "Subtract 603 from both sides: 9x = -180", "Divide both sides by 9: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 91) - 307 = x + 423", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 91, \"c\": 307, \"e\": 423, \"x\": -20}", "seed": "12733671606166411300", "semantic_fingerprint": "sha256:d473fa80391b00ca223f86bde5ab96e5ddf30517c56092165c0ed715c72f3a6f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001308", "prompt": "Evaluate: -85 - (55 - (-10) * (-7)) / (-94)", "solution_steps": ["Multiply: -10 * (-7) = 70", "Subtract: 55 - 70 = -15", "Divide: -15 / (-94) = 15/94", "Subtract: -85 - 15/94 = -8005/94"], "final_answer": "-8005/94", "answer_type": "rational", "kind": "expression", "math_text": "-85 - (55 - (-10) * (-7)) / (-94)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 55, \"c\": -10, \"d\": -7, \"e\": -94}", "seed": "7151590944110576719", "semantic_fingerprint": "sha256:dcad6e10e43a4cf346b5d4a110f47c479dfa85319fc27ab881ecb4d0af84ee64", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001309", "prompt": "What value of x satisfies 6x - 369 = -8x - 285?", "solution_steps": ["Add 8x to both sides: 14x - 369 = -285", "Add 369 to both sides: 14x = 84", "Divide both sides by 14: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 369 = -8x - 285", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 369, \"c\": -8, \"e\": -285, \"x\": 6}", "seed": "14202107031707774968", "semantic_fingerprint": "sha256:d4b3ecd1f6d03086b7d29036c47e0b6bce09bb8aa137bd88e6e3a971cb6f5beb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001310", "prompt": "Solve the equation 2(x + 460) + 32 = x + 80 for x.", "solution_steps": ["Expand: 2x + 920 + 32 = x + 80", "Combine constants: 2x + 952 = x + 80", "Subtract x from both sides: x + 952 = 80", "Subtract 952 from both sides: x = -872"], "final_answer": "-872", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 460) + 32 = x + 80", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 460, \"c\": 32, \"d\": 80}", "seed": "3188136847208287219", "semantic_fingerprint": "sha256:cb7292127aff4d49c0f0df03ae9068f516a910d11f7749f89986f85f0888ccf3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001311", "prompt": "Find x: 12x - 82 = -8x - 22", "solution_steps": ["Add 8x to both sides: 20x - 82 = -22", "Add 82 to both sides: 20x = 60", "Divide both sides by 20: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 82 = -8x - 22", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 82, \"c\": -8, \"e\": -22, \"x\": 3}", "seed": "3667214888279422858", "semantic_fingerprint": "sha256:d6a69efb8899b168731113034579f5a98deba806ffe0a71c439f37c33755db87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001312", "prompt": "What is -8 - (3 + (-9)) / 5?", "solution_steps": ["Add: 3 + (-9) = -6", "Divide: -6 / 5 = -6/5", "Subtract: -8 - (-6/5) = -34/5"], "final_answer": "-34/5", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (3 + (-9)) / 5", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": -9, \"d\": 5}", "seed": "7885039910720916290", "semantic_fingerprint": "sha256:8fc073e08d331fa001bfc76f67f564815e059ecdc026bdd612ec27fc97eccc50", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001313", "prompt": "Solve for x: 7(x + 4) - 9 = x + 97", "solution_steps": ["Expand: 7x + 28 - 9 = x + 97", "Combine constants: 7x + 19 = x + 97", "Subtract x from both sides: 6x + 19 = 97", "Subtract 19 from both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 4) - 9 = x + 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 9, \"e\": 97, \"x\": 13}", "seed": "447878945410402594", "semantic_fingerprint": "sha256:810d7fd91d63ae2c12acb74a74489c6af1fb2ff3eb36a49c30052d92de144888", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001314", "prompt": "Solve for x: -3x = 4(x + 6) + 3", "solution_steps": ["Expand: -3x = 4x + 24 + 3", "Combine constants: -3x = 4x + 27", "Subtract 4x from both sides: -7x = 27", "Divide both sides by -7: x = -27/7"], "final_answer": "-27/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x = 4(x + 6) + 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 6, \"d\": 3}", "seed": "4540189952005591163", "semantic_fingerprint": "sha256:fb75f31a14f2758439625734d5ee7dbae426c16225c2965a38afaa7db3c660bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001315", "prompt": "Solve the equation -3x - 9 = 5x - 41 for x.", "solution_steps": ["Subtract 5x from both sides: -8x - 9 = -41", "Add 9 to both sides: -8x = -32", "Divide both sides by -8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 9 = 5x - 41", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 5, \"e\": -41, \"x\": 4}", "seed": "9488564255866159098", "semantic_fingerprint": "sha256:00cf3babf2f1a48911db321bfd1caa89499ad3ee89b79bc37208f08401ba1e87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001316", "prompt": "Evaluate: -830 - (-414 + 563) / 701", "solution_steps": ["Add: -414 + 563 = 149", "Divide: 149 / 701 = 149/701", "Subtract: -830 - 149/701 = -581979/701"], "final_answer": "-581979/701", "answer_type": "rational", "kind": "expression", "math_text": "-830 - (-414 + 563) / 701", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -830, \"b\": -414, \"c\": 563, \"d\": 701}", "seed": "3605746981429815893", "semantic_fingerprint": "sha256:420f8b853603681e2b0465e354e93aaafbccb4d4afeaed8abf8b744b341a6a1c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001317", "prompt": "What is -6 / (61 / 14) / (-44 - (-9))?", "solution_steps": ["Divide: 61 / 14 = 61/14", "Divide: -6 / (61/14) = -84/61", "Subtract: -44 - (-9) = -35", "Divide: (-84/61) / (-35) = 12/305"], "final_answer": "12/305", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (61 / 14) / (-44 - (-9))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 61, \"c\": 14, \"d\": -44, \"e\": -9}", "seed": "11099968809502926138", "semantic_fingerprint": "sha256:129f6c9402184e6297f84aca4903b2817c1b76c148f41ea3b2eec8bea931fb4f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001318", "prompt": "What value of x satisfies -2(x + 28) + 39 = x + 28?", "solution_steps": ["Expand: -2x - 56 + 39 = x + 28", "Combine constants: -2x - 17 = x + 28", "Subtract x from both sides: -3x - 17 = 28", "Add 17 to both sides: -3x = 45", "Divide both sides by -3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 28) + 39 = x + 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 28, \"c\": 39, \"e\": 28, \"x\": -15}", "seed": "11439202900214121213", "semantic_fingerprint": "sha256:3f86dea465db89752b361685f31954c77afa000d3659f08ac9bb517d2b934098", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001319", "prompt": "Compute: 262 - (-95) / (-714 * (25 / (16 * 56)))", "solution_steps": ["Multiply: 16 * 56 = 896", "Divide: 25 / 896 = 25/896", "Multiply: -714 * (25/896) = -1275/64", "Divide: -95 / (-1275/64) = 1216/255", "Subtract: 262 - 1216/255 = 65594/255"], "final_answer": "65594/255", "answer_type": "rational", "kind": "expression", "math_text": "262 - (-95) / (-714 * (25 / (16 * 56)))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (* n (/ n (* n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 262, \"b\": -95, \"c\": -714, \"d\": 25, \"e\": 16, \"f\": 56}", "seed": "3721139251548296169", "semantic_fingerprint": "sha256:a931e8b73644b6b26daaecb24e007181f8fc46ab97a92c0b10cb1e144ce2374e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001320", "prompt": "Solve the equation -3(x - 8) + 941 = 7(x + 145) for x.", "solution_steps": ["Expand: -3x + 24 + 941 = 7(x + 145)", "Expand: -3x + 24 + 941 = 7x + 1015", "Combine constants: -3x + 965 = 7x + 1015", "Subtract 7x from both sides: -10x + 965 = 1015", "Subtract 965 from both sides: -10x = 50", "Divide both sides by -10: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 8) + 941 = 7(x + 145)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 7, \"d\": 145, \"f\": 941, \"x\": -5}", "seed": "13671352562525115899", "semantic_fingerprint": "sha256:9113ca888fbfc6996c6f5c59c0d1a32a71eb834969d0d1a544d97938d1a28988", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001321", "prompt": "Find x: 3x = 9(x + 758) + 81", "solution_steps": ["Expand: 3x = 9x + 6822 + 81", "Combine constants: 3x = 9x + 6903", "Subtract 9x from both sides: -6x = 6903", "Divide both sides by -6: x = -2301/2"], "final_answer": "-2301/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = 9(x + 758) + 81", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 758, \"d\": 81}", "seed": "8866418105731953411", "semantic_fingerprint": "sha256:1c9da7e18c2badb0431a87ea4b579c110de7b80f71079c73f3ddfb465d124f28", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001322", "prompt": "Calculate: 0 / ((642 - (-856)) * 108 / (-9)) + (-246)", "solution_steps": ["Subtract: 642 - (-856) = 1498", "Multiply: 1498 * 108 = 161784", "Divide: 161784 / (-9) = -17976", "Divide: 0 / (-17976) = 0", "Add: 0 + (-246) = -246"], "final_answer": "-246", "answer_type": "integer", "kind": "expression", "math_text": "0 / ((642 - (-856)) * 108 / (-9)) + (-246)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ (* (- n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 642, \"c\": -856, \"d\": 108, \"e\": -9, \"f\": -246}", "seed": "10125700018349763006", "semantic_fingerprint": "sha256:43b2b1f0bacee2f0d1f95ab24969a4d08eaa498adb0cf5e1a778bff9d4d5f7aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001323", "prompt": "Solve the equation -5x = 11(x + 49) - 299 for x.", "solution_steps": ["Expand: -5x = 11x + 539 - 299", "Combine constants: -5x = 11x + 240", "Subtract 11x from both sides: -16x = 240", "Divide both sides by -16: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 11(x + 49) - 299", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 11, \"c\": 49, \"e\": -299, \"x\": -15}", "seed": "1164453781734075416", "semantic_fingerprint": "sha256:e34804b2ff9f91f0d1b629a17c3c08f96ed96150b376e97fddb31341c8dd7c9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001324", "prompt": "Solve for x: 8x = 6(x + 63) + 5", "solution_steps": ["Expand: 8x = 6x + 378 + 5", "Combine constants: 8x = 6x + 383", "Subtract 6x from both sides: 2x = 383", "Divide both sides by 2: x = 383/2"], "final_answer": "383/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 6(x + 63) + 5", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 63, \"d\": 5}", "seed": "8822087195143948633", "semantic_fingerprint": "sha256:f53a86824865ae5222661dc65d4eb5d11495005234b9ab1f72e0eb4a8a33b953", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001325", "prompt": "Calculate: -716 - (-87 / 439 + (-257) / (-1))", "solution_steps": ["Divide: -87 / 439 = -87/439", "Divide: -257 / (-1) = 257", "Add: -87/439 + 257 = 112736/439", "Subtract: -716 - 112736/439 = -427060/439"], "final_answer": "-427060/439", "answer_type": "rational", "kind": "expression", "math_text": "-716 - (-87 / 439 + (-257) / (-1))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -716, \"b\": -87, \"c\": 439, \"d\": -257, \"e\": -1}", "seed": "16795487049485426760", "semantic_fingerprint": "sha256:6b2fd2f32a2eab5dc250eb38549443c96fedc81bc743fa437339bb59c74cb428", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001326", "prompt": "Solve the equation 2x = -12(x + 9) + 389 for x.", "solution_steps": ["Expand: 2x = -12x - 108 + 389", "Combine constants: 2x = -12x + 281", "Add 12x to both sides: 14x = 281", "Divide both sides by 14: x = 281/14"], "final_answer": "281/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = -12(x + 9) + 389", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -12, \"c\": 9, \"d\": 389}", "seed": "18051132432281258659", "semantic_fingerprint": "sha256:aa07240dc44826bc41c1f2abdd1989455530347ebd59cdc95d212933a84ef0e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001327", "prompt": "What is -484 - 662 / 68 - 0?", "solution_steps": ["Divide: 662 / 68 = 331/34", "Subtract: -484 - 331/34 = -16787/34", "Subtract: -16787/34 - 0 = -16787/34"], "final_answer": "-16787/34", "answer_type": "rational", "kind": "expression", "math_text": "-484 - 662 / 68 - 0", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -484, \"b\": 662, \"c\": 68, \"d\": 0}", "seed": "3104534108823707756", "semantic_fingerprint": "sha256:589d4d2671118ec9b04c8d984579887e7853ee07cbfad03613b324c3e1776328", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001328", "prompt": "Compute: (5 + 67) / (-5) + 270", "solution_steps": ["Add: 5 + 67 = 72", "Divide: 72 / (-5) = -72/5", "Add: -72/5 + 270 = 1278/5"], "final_answer": "1278/5", "answer_type": "rational", "kind": "expression", "math_text": "(5 + 67) / (-5) + 270", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 67, \"c\": -5, \"d\": 270}", "seed": "11889302765643292958", "semantic_fingerprint": "sha256:4588118525c9e81de90dad7f2f925bcae59c5f75ae58a118800e48f6aa5cd6e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001329", "prompt": "What value of x satisfies 9x - 47 = 7x - 63?", "solution_steps": ["Subtract 7x from both sides: 2x - 47 = -63", "Add 47 to both sides: 2x = -16", "Divide both sides by 2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 47 = 7x - 63", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 47, \"c\": 7, \"e\": -63, \"x\": -8}", "seed": "1578443785798990877", "semantic_fingerprint": "sha256:802444e231f88b24ba8679d58d6659745d8005da1478c01b7eafa6ac5b042320", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001330", "prompt": "Compute: 1 * (4 / (3 / 596 + (-8)))", "solution_steps": ["Divide: 3 / 596 = 3/596", "Add: 3/596 + (-8) = -4765/596", "Divide: 4 / (-4765/596) = -2384/4765", "Multiply: 1 * (-2384/4765) = -2384/4765"], "final_answer": "-2384/4765", "answer_type": "rational", "kind": "expression", "math_text": "1 * (4 / (3 / 596 + (-8)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": 3, \"d\": 596, \"e\": -8}", "seed": "7903042827709721639", "semantic_fingerprint": "sha256:0421149adc129184b9826a955f84d4b46788406aab6f15578e9cc672cb52eb1b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001331", "prompt": "What is 219 - (-51) - (-957) - 64 / (-9)?", "solution_steps": ["Subtract: 219 - (-51) = 270", "Subtract: 270 - (-957) = 1227", "Divide: 64 / (-9) = -64/9", "Subtract: 1227 - (-64/9) = 11107/9"], "final_answer": "11107/9", "answer_type": "rational", "kind": "expression", "math_text": "219 - (-51) - (-957) - 64 / (-9)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 219, \"b\": -51, \"c\": -957, \"d\": 64, \"e\": -9}", "seed": "812855341925306612", "semantic_fingerprint": "sha256:4a56773cc783be223ae7f60f3afdaaa375f75fd563ee166a05d0a52b9a80a314", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001332", "prompt": "Solve for x: 12x - 8 = -12x - 368", "solution_steps": ["Add 12x to both sides: 24x - 8 = -368", "Add 8 to both sides: 24x = -360", "Divide both sides by 24: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 8 = -12x - 368", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": -12, \"e\": -368, \"x\": -15}", "seed": "2514826253843102799", "semantic_fingerprint": "sha256:087930dbba19ffc2829c5012395044e59ba98954a1612a623a73cd06f07d039b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001333", "prompt": "Solve for x: 7x - 240 = 10(x - 27)", "solution_steps": ["Expand: 7x - 240 = 10x - 270", "Subtract 10x from both sides: -3x - 240 = -270", "Add 240 to both sides: -3x = -30", "Divide both sides by -3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 240 = 10(x - 27)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 27, \"e\": -240, \"x\": 10}", "seed": "10477427713931277444", "semantic_fingerprint": "sha256:ee9acd9eebe3c0c3e548be66da1a71c566579ce8d81af86f17d85de0da78bc10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001334", "prompt": "Compute: 91 * (-2 + (-15) * 3)", "solution_steps": ["Multiply: -15 * 3 = -45", "Add: -2 + (-45) = -47", "Multiply: 91 * (-47) = -4277"], "final_answer": "-4277", "answer_type": "integer", "kind": "expression", "math_text": "91 * (-2 + (-15) * 3)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -2, \"c\": -15, \"d\": 3}", "seed": "6139248192851174751", "semantic_fingerprint": "sha256:860deb1c9fe87789b8602b421cb01248e141558a0b044c163362ca418f251f31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001335", "prompt": "Evaluate: 1 / (-293) / 4 - 5", "solution_steps": ["Divide: 1 / (-293) = -1/293", "Divide: (-1/293) / 4 = -1/1172", "Subtract: -1/1172 - 5 = -5861/1172"], "final_answer": "-5861/1172", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-293) / 4 - 5", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -293, \"c\": 4, \"d\": 5}", "seed": "251891968551366789", "semantic_fingerprint": "sha256:455c330850d7890e55e59174951db5bd32c03bd29a4c7b02f002f0b5706a1581", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001336", "prompt": "Solve for x: 6(x + 4) - 83 = x + 9", "solution_steps": ["Expand: 6x + 24 - 83 = x + 9", "Combine constants: 6x - 59 = x + 9", "Subtract x from both sides: 5x - 59 = 9", "Add 59 to both sides: 5x = 68", "Divide both sides by 5: x = 68/5"], "final_answer": "68/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 4) - 83 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 83, \"d\": 9}", "seed": "15592906397478879899", "semantic_fingerprint": "sha256:ab210586d0436691d7eeec12ae8c66b89303805922bd280357ed7bfe7d11a4a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001337", "prompt": "Evaluate: 806 - 4 - 494 * (-114 + (-99))", "solution_steps": ["Subtract: 806 - 4 = 802", "Add: -114 + (-99) = -213", "Multiply: 494 * (-213) = -105222", "Subtract: 802 - (-105222) = 106024"], "final_answer": "106024", "answer_type": "integer", "kind": "expression", "math_text": "806 - 4 - 494 * (-114 + (-99))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 806, \"b\": 4, \"c\": 494, \"d\": -114, \"e\": -99}", "seed": "12614428575781406311", "semantic_fingerprint": "sha256:562b9721307d9843a41a32a747367374863f6f62f515d099a90bf0e17a373525", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001338", "prompt": "Calculate: 0 / (-25) - (83 + (-8) / 698)", "solution_steps": ["Divide: 0 / (-25) = 0", "Divide: -8 / 698 = -4/349", "Add: 83 + (-4/349) = 28963/349", "Subtract: 0 - 28963/349 = -28963/349"], "final_answer": "-28963/349", "answer_type": "rational", "kind": "expression", "math_text": "0 / (-25) - (83 + (-8) / 698)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -25, \"c\": 83, \"d\": -8, \"e\": 698}", "seed": "1114189831842218627", "semantic_fingerprint": "sha256:f4e4b4800e946400ad2b6cea202edd56e095b2e883ab39bb79b3865de758a08b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001339", "prompt": "Evaluate: 68 + 66 + 9 - (-671 + (-839))", "solution_steps": ["Add: 68 + 66 = 134", "Add: 134 + 9 = 143", "Add: -671 + (-839) = -1510", "Subtract: 143 - (-1510) = 1653"], "final_answer": "1653", "answer_type": "integer", "kind": "expression", "math_text": "68 + 66 + 9 - (-671 + (-839))", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 66, \"c\": 9, \"d\": -671, \"e\": -839}", "seed": "10196574202689854269", "semantic_fingerprint": "sha256:a22dfe85fe384e1797bd5a375c01da480985a14af578f959c80668d0268951e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001340", "prompt": "Evaluate: 72 * (-57 / (45 * (-23)) / (-26))", "solution_steps": ["Multiply: 45 * (-23) = -1035", "Divide: -57 / (-1035) = 19/345", "Divide: (19/345) / (-26) = -19/8970", "Multiply: 72 * (-19/8970) = -228/1495"], "final_answer": "-228/1495", "answer_type": "rational", "kind": "expression", "math_text": "72 * (-57 / (45 * (-23)) / (-26))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -57, \"c\": 45, \"d\": -23, \"e\": -26}", "seed": "15940056146931942522", "semantic_fingerprint": "sha256:b3542d71e25e4afb7e586a5e931606494ed61588392d95036119517625d67989", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001341", "prompt": "Evaluate: -758 / (-6) * (-47 / 3)", "solution_steps": ["Divide: -758 / (-6) = 379/3", "Divide: -47 / 3 = -47/3", "Multiply: (379/3) * (-47/3) = -17813/9"], "final_answer": "-17813/9", "answer_type": "rational", "kind": "expression", "math_text": "-758 / (-6) * (-47 / 3)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -758, \"b\": -6, \"c\": -47, \"d\": 3}", "seed": "4698430892034030603", "semantic_fingerprint": "sha256:ae0356bb48edb6c59befee504c6045e38728813babbaa44f2f2103f72f1800b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001342", "prompt": "Find x: 5x - 85 = 3(x - 5)", "solution_steps": ["Expand: 5x - 85 = 3x - 15", "Subtract 3x from both sides: 2x - 85 = -15", "Add 85 to both sides: 2x = 70", "Divide both sides by 2: x = 35"], "final_answer": "35", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 85 = 3(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 85, \"c\": 3, \"d\": 5}", "seed": "6488225196918685037", "semantic_fingerprint": "sha256:63cd57b01f72de94bd723a1561665b0a30d104d6d460ac5a670bf445ecaac719", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001343", "prompt": "Solve for x: 5x - 36 = 8(x - 6)", "solution_steps": ["Expand: 5x - 36 = 8x - 48", "Subtract 8x from both sides: -3x - 36 = -48", "Add 36 to both sides: -3x = -12", "Divide both sides by -3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 36 = 8(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 6, \"e\": -36, \"x\": 4}", "seed": "15105511539576201546", "semantic_fingerprint": "sha256:659d2ef6a23a63ef59ee196eca19eb9e0b6a3c326df1a55ab1fa74a46332f3ec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001344", "prompt": "Calculate: (5 * (-3) - (-4 + 188)) * 3", "solution_steps": ["Multiply: 5 * (-3) = -15", "Add: -4 + 188 = 184", "Subtract: -15 - 184 = -199", "Multiply: -199 * 3 = -597"], "final_answer": "-597", "answer_type": "integer", "kind": "expression", "math_text": "(5 * (-3) - (-4 + 188)) * 3", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"c\": -4, \"d\": 188, \"e\": 3}", "seed": "17631931313089933475", "semantic_fingerprint": "sha256:4645455875381d7f8e76ce254774ec0eba6372bef47b1bcd66c72386573d3c61", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001345", "prompt": "Solve for x: 9x = -11(x + 7) - 1", "solution_steps": ["Expand: 9x = -11x - 77 - 1", "Combine constants: 9x = -11x - 78", "Add 11x to both sides: 20x = -78", "Divide both sides by 20: x = -39/10"], "final_answer": "-39/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = -11(x + 7) - 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -11, \"c\": 7, \"d\": 1}", "seed": "5322222774749528368", "semantic_fingerprint": "sha256:01b7666c1599068e13237ae4f9a99a8297fd953bb4c237f605c70627e36ef6a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001346", "prompt": "What is -76 / 75 / 1 - (-42)?", "solution_steps": ["Divide: -76 / 75 = -76/75", "Divide: (-76/75) / 1 = -76/75", "Subtract: -76/75 - (-42) = 3074/75"], "final_answer": "3074/75", "answer_type": "rational", "kind": "expression", "math_text": "-76 / 75 / 1 - (-42)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 75, \"c\": 1, \"d\": -42}", "seed": "13729671196813677176", "semantic_fingerprint": "sha256:eb0f73cdee062d56e7cffde9d5591774749f652e690e07e80cb7bfc9edfb8f81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001347", "prompt": "Evaluate: 95 / 2 / (5 / 17 + 5)", "solution_steps": ["Divide: 95 / 2 = 95/2", "Divide: 5 / 17 = 5/17", "Add: 5/17 + 5 = 90/17", "Divide: (95/2) / (90/17) = 323/36"], "final_answer": "323/36", "answer_type": "rational", "kind": "expression", "math_text": "95 / 2 / (5 / 17 + 5)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 2, \"c\": 5, \"d\": 17, \"e\": 5}", "seed": "16553221676333341515", "semantic_fingerprint": "sha256:183d4c5723b7c9668c6259c62f07dd7e6abbddc1a850179c204b69e151c9a59a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001348", "prompt": "Calculate: (248 + (-156 / 75 + (-36))) / (21 + (-9))", "solution_steps": ["Divide: -156 / 75 = -52/25", "Add: -52/25 + (-36) = -952/25", "Add: 248 + (-952/25) = 5248/25", "Add: 21 + (-9) = 12", "Divide: (5248/25) / 12 = 1312/75"], "final_answer": "1312/75", "answer_type": "rational", "kind": "expression", "math_text": "(248 + (-156 / 75 + (-36))) / (21 + (-9))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ (/ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 248, \"b\": -156, \"c\": 75, \"d\": -36, \"e\": 21, \"f\": -9}", "seed": "8956621405159136942", "semantic_fingerprint": "sha256:3a5f2b2d14c469f38365334cd753553b990ab2721583193623b05a162800583e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001349", "prompt": "Solve the equation 6(x - 32) + 302 = 8(x + 9) for x.", "solution_steps": ["Expand: 6x - 192 + 302 = 8(x + 9)", "Expand: 6x - 192 + 302 = 8x + 72", "Combine constants: 6x + 110 = 8x + 72", "Subtract 8x from both sides: -2x + 110 = 72", "Subtract 110 from both sides: -2x = -38", "Divide both sides by -2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 32) + 302 = 8(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 32, \"c\": 8, \"d\": 9, \"f\": 302, \"x\": 19}", "seed": "1632872140060433233", "semantic_fingerprint": "sha256:e12b4629ca24ddfabdba335778f92a9430b22286a8e40c523370a3245ffa57ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001350", "prompt": "Calculate: (-349 + (-61)) / (-88 + (-85))", "solution_steps": ["Add: -349 + (-61) = -410", "Add: -88 + (-85) = -173", "Divide: -410 / (-173) = 410/173"], "final_answer": "410/173", "answer_type": "rational", "kind": "expression", "math_text": "(-349 + (-61)) / (-88 + (-85))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -349, \"b\": -61, \"c\": -88, \"d\": -85}", "seed": "1955810118411511915", "semantic_fingerprint": "sha256:7dac06e65d9f518e951829821b765c3a72099c660ba4bef648ab27fdbc855910", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001351", "prompt": "Find x: -11(x - 6) + 15 = 7(x + 9)", "solution_steps": ["Expand: -11x + 66 + 15 = 7(x + 9)", "Expand: -11x + 66 + 15 = 7x + 63", "Combine constants: -11x + 81 = 7x + 63", "Subtract 7x from both sides: -18x + 81 = 63", "Subtract 81 from both sides: -18x = -18", "Divide both sides by -18: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 6) + 15 = 7(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 7, \"d\": 9, \"f\": 15, \"x\": 1}", "seed": "14298769780026626312", "semantic_fingerprint": "sha256:a43e45423176730fc548cf89682f86451b2aaec0802db89dbd88776bde0892c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001352", "prompt": "Evaluate: 386 - 1 + (-4) + 46 * (0 * (-84))", "solution_steps": ["Subtract: 386 - 1 = 385", "Add: 385 + (-4) = 381", "Multiply: 0 * (-84) = 0", "Multiply: 46 * 0 = 0", "Add: 381 + 0 = 381"], "final_answer": "381", "answer_type": "integer", "kind": "expression", "math_text": "386 - 1 + (-4) + 46 * (0 * (-84))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) n) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 386, \"b\": 1, \"c\": -4, \"d\": 46, \"e\": 0, \"f\": -84}", "seed": "9704399030143355534", "semantic_fingerprint": "sha256:dcfd05d4439fdd7d07cfe207c52ba76bd4005394df4cb5d4656c55e54861ffee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001353", "prompt": "Solve for x: 7(x - 86) + 553 = 3(x + 1)", "solution_steps": ["Expand: 7x - 602 + 553 = 3(x + 1)", "Expand: 7x - 602 + 553 = 3x + 3", "Combine constants: 7x - 49 = 3x + 3", "Subtract 3x from both sides: 4x - 49 = 3", "Add 49 to both sides: 4x = 52", "Divide both sides by 4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 86) + 553 = 3(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 86, \"c\": 3, \"d\": 1, \"f\": 553, \"x\": 13}", "seed": "17172831158915051543", "semantic_fingerprint": "sha256:08e650515ecdfed19c44facb0a2ccfbfe8bd3cf9cf92c12c385d4891949987f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001354", "prompt": "Solve the equation 10(x + 65) + 92 = x + 922 for x.", "solution_steps": ["Expand: 10x + 650 + 92 = x + 922", "Combine constants: 10x + 742 = x + 922", "Subtract x from both sides: 9x + 742 = 922", "Subtract 742 from both sides: 9x = 180", "Divide both sides by 9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 65) + 92 = x + 922", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 65, \"c\": 92, \"e\": 922, \"x\": 20}", "seed": "2665751460033961875", "semantic_fingerprint": "sha256:cdadad12cc8fab50c8860192b54ce3f9ea07198aca7fa84fe3bc524ed0adc617", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001355", "prompt": "Solve for x: 11(x - 35) + 801 = 8(x + 52)", "solution_steps": ["Expand: 11x - 385 + 801 = 8(x + 52)", "Expand: 11x - 385 + 801 = 8x + 416", "Combine constants: 11x + 416 = 8x + 416", "Subtract 8x from both sides: 3x + 416 = 416", "Subtract 416 from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 35) + 801 = 8(x + 52)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 35, \"c\": 8, \"d\": 52, \"f\": 801, \"x\": 0}", "seed": "16000356038596409301", "semantic_fingerprint": "sha256:5a318f37438890a5b21e63f44e6b196110064b91faf459f552b8236bdd6c9602", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001356", "prompt": "What is -13 * 868 / (273 - (-9)) * (-83 + 5)?", "solution_steps": ["Multiply: -13 * 868 = -11284", "Subtract: 273 - (-9) = 282", "Divide: -11284 / 282 = -5642/141", "Add: -83 + 5 = -78", "Multiply: (-5642/141) * (-78) = 146692/47"], "final_answer": "146692/47", "answer_type": "rational", "kind": "expression", "math_text": "-13 * 868 / (273 - (-9)) * (-83 + 5)", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 868, \"c\": 273, \"d\": -9, \"e\": -83, \"f\": 5}", "seed": "4638169220543665184", "semantic_fingerprint": "sha256:163274cdbd0b806d7e8df98f4532eb235d37d5fc8d65e5f3c54ed70cfed6b88f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001357", "prompt": "What is -86 - (44 + 3) / (-48)?", "solution_steps": ["Add: 44 + 3 = 47", "Divide: 47 / (-48) = -47/48", "Subtract: -86 - (-47/48) = -4081/48"], "final_answer": "-4081/48", "answer_type": "rational", "kind": "expression", "math_text": "-86 - (44 + 3) / (-48)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 44, \"c\": 3, \"d\": -48}", "seed": "7457397637793290501", "semantic_fingerprint": "sha256:099e7473ba51f5dbe20319d4ca92e0395cb28462884e1e93454bab9962dd9c3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001358", "prompt": "Evaluate: ((271 - (-9)) * 504 + 46 * 73) / 7", "solution_steps": ["Subtract: 271 - (-9) = 280", "Multiply: 280 * 504 = 141120", "Multiply: 46 * 73 = 3358", "Add: 141120 + 3358 = 144478", "Divide: 144478 / 7 = 144478/7"], "final_answer": "144478/7", "answer_type": "rational", "kind": "expression", "math_text": "((271 - (-9)) * 504 + 46 * 73) / 7", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* (- n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 271, \"b\": -9, \"c\": 504, \"d\": 46, \"e\": 73, \"f\": 7}", "seed": "9265555644922599875", "semantic_fingerprint": "sha256:516d6e2a801dd92724a440d88885064d14ff5b4fd5e297814c09d62e31b56b12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001359", "prompt": "Calculate: -907 / 88 * (11 / 813)", "solution_steps": ["Divide: -907 / 88 = -907/88", "Divide: 11 / 813 = 11/813", "Multiply: (-907/88) * (11/813) = -907/6504"], "final_answer": "-907/6504", "answer_type": "rational", "kind": "expression", "math_text": "-907 / 88 * (11 / 813)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -907, \"b\": 88, \"c\": 11, \"d\": 813}", "seed": "9018511680937564070", "semantic_fingerprint": "sha256:c8f25c1745e5eabc62eb540c84110eea18e37d4458c8728a1ef2280618f030d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001360", "prompt": "Calculate: (46 + (-69) - (0 - 880)) / 299", "solution_steps": ["Add: 46 + (-69) = -23", "Subtract: 0 - 880 = -880", "Subtract: -23 - (-880) = 857", "Divide: 857 / 299 = 857/299"], "final_answer": "857/299", "answer_type": "rational", "kind": "expression", "math_text": "(46 + (-69) - (0 - 880)) / 299", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -69, \"c\": 0, \"d\": 880, \"e\": 299}", "seed": "17438947249014347094", "semantic_fingerprint": "sha256:7642d54f13b6de506d0318e5bd89468354b683149a91a4b2e4ca97ffa8da715e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001361", "prompt": "Calculate: -69 * 3 * (-3) * (880 - 2)", "solution_steps": ["Multiply: -69 * 3 = -207", "Multiply: -207 * (-3) = 621", "Subtract: 880 - 2 = 878", "Multiply: 621 * 878 = 545238"], "final_answer": "545238", "answer_type": "integer", "kind": "expression", "math_text": "-69 * 3 * (-3) * (880 - 2)", "variable": null, "family": "expression_4op", "shape": "(* (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 3, \"c\": -3, \"d\": 880, \"e\": 2}", "seed": "16906986312821222181", "semantic_fingerprint": "sha256:e8bb74a7af9290e02462a4581425a99aa91103a5211b7f85413e2efb7c662fad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001362", "prompt": "Evaluate: -372 - (-83) / (-6) + (-87) - (-517)", "solution_steps": ["Divide: -83 / (-6) = 83/6", "Subtract: -372 - 83/6 = -2315/6", "Add: -2315/6 + (-87) = -2837/6", "Subtract: -2837/6 - (-517) = 265/6"], "final_answer": "265/6", "answer_type": "rational", "kind": "expression", "math_text": "-372 - (-83) / (-6) + (-87) - (-517)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -372, \"b\": -83, \"c\": -6, \"d\": -87, \"e\": -517}", "seed": "17238343985228819709", "semantic_fingerprint": "sha256:6ec97298882f1c9a86d2ad6188e73ff344b22c491036c5b86427120ca92a4309", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001363", "prompt": "Solve the equation -5x - 3 = 7x - 3 for x.", "solution_steps": ["Subtract 7x from both sides: -12x - 3 = -3", "Add 3 to both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 3 = 7x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 7, \"e\": -3, \"x\": 0}", "seed": "7465044832031808034", "semantic_fingerprint": "sha256:613344b8b48417c6d05acb7d73bd8c44b8d39209b9bd6c1135c863b3f0a90cdb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001364", "prompt": "Solve for x: 12x - 40 = 4x - 65", "solution_steps": ["Subtract 4x from both sides: 8x - 40 = -65", "Add 40 to both sides: 8x = -25", "Divide both sides by 8: x = -25/8"], "final_answer": "-25/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 40 = 4x - 65", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 40, \"c\": 4, \"d\": 65}", "seed": "15751531263035964092", "semantic_fingerprint": "sha256:a6bf901bee8253476f97aa74f8130d957fd1b338c1d7afedb88dcdd1c27b3cfe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001365", "prompt": "What value of x satisfies 4(x + 4) - 6 = x + 10?", "solution_steps": ["Expand: 4x + 16 - 6 = x + 10", "Combine constants: 4x + 10 = x + 10", "Subtract x from both sides: 3x + 10 = 10", "Subtract 10 from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 4) - 6 = x + 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 6, \"e\": 10, \"x\": 0}", "seed": "2229600452709818660", "semantic_fingerprint": "sha256:8b9e4461b126a9aa0ca32a906cbb2f1481814c8f4a103afebcf7b88c9e113028", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001366", "prompt": "Solve for x: 6(x + 862) = -3(x - 80) + 124", "solution_steps": ["Expand: 6x + 5172 = -3(x - 80) + 124", "Expand: 6x + 5172 = -3x + 240 + 124", "Combine constants: 6x + 5172 = -3x + 364", "Add 3x to both sides: 9x + 5172 = 364", "Subtract 5172 from both sides: 9x = -4808", "Divide both sides by 9: x = -4808/9"], "final_answer": "-4808/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 862) = -3(x - 80) + 124", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 862, \"c\": -3, \"d\": 80, \"e\": 124}", "seed": "12198153209979473455", "semantic_fingerprint": "sha256:85f78385c6af51d65dcfe5a4a937a7cf70f0b82982b177e20c0c11a033a8a7ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001367", "prompt": "Solve the equation 4x - 568 = 8(x - 75) for x.", "solution_steps": ["Expand: 4x - 568 = 8x - 600", "Subtract 8x from both sides: -4x - 568 = -600", "Add 568 to both sides: -4x = -32", "Divide both sides by -4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 568 = 8(x - 75)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 75, \"e\": -568, \"x\": 8}", "seed": "1597917895022828160", "semantic_fingerprint": "sha256:b00a12a773ffbf040cbb872ba22fea9008024162c69aec8654e6a7f536ba5df8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001368", "prompt": "Calculate: 99 + (-67 + 49) - (-8 - (-4))", "solution_steps": ["Add: -67 + 49 = -18", "Add: 99 + (-18) = 81", "Subtract: -8 - (-4) = -4", "Subtract: 81 - (-4) = 85"], "final_answer": "85", "answer_type": "integer", "kind": "expression", "math_text": "99 + (-67 + 49) - (-8 - (-4))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -67, \"c\": 49, \"d\": -8, \"e\": -4}", "seed": "12483783606485399248", "semantic_fingerprint": "sha256:7b2835da36f47cabca9354a1d37ac3abb9f154702f8d13c40c2f4abe68e970a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001369", "prompt": "What value of x satisfies -7(x - 9) + 60 = 2(x + 3)?", "solution_steps": ["Expand: -7x + 63 + 60 = 2(x + 3)", "Expand: -7x + 63 + 60 = 2x + 6", "Combine constants: -7x + 123 = 2x + 6", "Subtract 2x from both sides: -9x + 123 = 6", "Subtract 123 from both sides: -9x = -117", "Divide both sides by -9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 9) + 60 = 2(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 2, \"d\": 3, \"f\": 60, \"x\": 13}", "seed": "11200282643290233207", "semantic_fingerprint": "sha256:79531e4aa4091aaf42bdc334982108c3dde733dd052b7a0cc137de36793da790", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001370", "prompt": "Solve for x: 11(x + 1) = 8(x - 38) + 255", "solution_steps": ["Expand: 11x + 11 = 8(x - 38) + 255", "Expand: 11x + 11 = 8x - 304 + 255", "Combine constants: 11x + 11 = 8x - 49", "Subtract 8x from both sides: 3x + 11 = -49", "Subtract 11 from both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 1) = 8(x - 38) + 255", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 8, \"d\": 38, \"f\": 255, \"x\": -20}", "seed": "2328885341277401483", "semantic_fingerprint": "sha256:f73f7c52ca7b6088dff95d07502521c69a2fb81784268dd54334926d90cdfeec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001371", "prompt": "Calculate: 747 * (-24) / (3 + (-67 + 270))", "solution_steps": ["Multiply: 747 * (-24) = -17928", "Add: -67 + 270 = 203", "Add: 3 + 203 = 206", "Divide: -17928 / 206 = -8964/103"], "final_answer": "-8964/103", "answer_type": "rational", "kind": "expression", "math_text": "747 * (-24) / (3 + (-67 + 270))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 747, \"b\": -24, \"c\": 3, \"d\": -67, \"e\": 270}", "seed": "9448167066025288449", "semantic_fingerprint": "sha256:8a3aadd84275a327fdbb6c1d6228a42f25de5d746d144710816d4b4c5fe01840", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001372", "prompt": "What value of x satisfies 8x = 12(x + 8) - 100?", "solution_steps": ["Expand: 8x = 12x + 96 - 100", "Combine constants: 8x = 12x - 4", "Subtract 12x from both sides: -4x = -4", "Divide both sides by -4: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 12(x + 8) - 100", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 8, \"e\": -100, \"x\": 1}", "seed": "17916393708504405593", "semantic_fingerprint": "sha256:d64dea9ed2a287700542e7730d9c2591b7eef8bfe76f5029d1ca24a05bc23a06", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001373", "prompt": "Solve the equation 12(x + 74) + 35 = x + 703 for x.", "solution_steps": ["Expand: 12x + 888 + 35 = x + 703", "Combine constants: 12x + 923 = x + 703", "Subtract x from both sides: 11x + 923 = 703", "Subtract 923 from both sides: 11x = -220", "Divide both sides by 11: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 74) + 35 = x + 703", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 74, \"c\": 35, \"e\": 703, \"x\": -20}", "seed": "6094728265426034965", "semantic_fingerprint": "sha256:4b12350c53d349f26ec8f6d3386b42583b785fbf519b3654621e6cb253fa8c17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001374", "prompt": "Evaluate: 0 * 5 + (-39) + (-294 - 42)", "solution_steps": ["Multiply: 0 * 5 = 0", "Add: 0 + (-39) = -39", "Subtract: -294 - 42 = -336", "Add: -39 + (-336) = -375"], "final_answer": "-375", "answer_type": "integer", "kind": "expression", "math_text": "0 * 5 + (-39) + (-294 - 42)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": -39, \"d\": -294, \"e\": 42}", "seed": "7374382827435116951", "semantic_fingerprint": "sha256:ec2d175c663a4402546f78101444fa9f5e09ae62bce530ebd5d5744f2a7ddab1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001375", "prompt": "Find x: 11x - 3 = 2x - 84", "solution_steps": ["Subtract 2x from both sides: 9x - 3 = -84", "Add 3 to both sides: 9x = -81", "Divide both sides by 9: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 3 = 2x - 84", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 2, \"e\": -84, \"x\": -9}", "seed": "13895189396885104019", "semantic_fingerprint": "sha256:3076ea94b58708825218704b42abf98f942ef3d323ccba1b163e9f48d26b44d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001376", "prompt": "What is 186 * 95 * (9 / (-887))?", "solution_steps": ["Multiply: 186 * 95 = 17670", "Divide: 9 / (-887) = -9/887", "Multiply: 17670 * (-9/887) = -159030/887"], "final_answer": "-159030/887", "answer_type": "rational", "kind": "expression", "math_text": "186 * 95 * (9 / (-887))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 186, \"b\": 95, \"c\": 9, \"d\": -887}", "seed": "8592743718046507712", "semantic_fingerprint": "sha256:7b320af8f5f00eb859049b5641587970486993b9987dd21449b2e96370966a89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001377", "prompt": "What is -2 - (-82) - (-6) - 618 / (-92)?", "solution_steps": ["Subtract: -2 - (-82) = 80", "Subtract: 80 - (-6) = 86", "Divide: 618 / (-92) = -309/46", "Subtract: 86 - (-309/46) = 4265/46"], "final_answer": "4265/46", "answer_type": "rational", "kind": "expression", "math_text": "-2 - (-82) - (-6) - 618 / (-92)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -82, \"c\": -6, \"d\": 618, \"e\": -92}", "seed": "5424673514442376602", "semantic_fingerprint": "sha256:d85ccbd3f0f4c2123466faa4913926cc349b47556e036c2c6a0e672793c1c1d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001378", "prompt": "Compute: -3 - (-630) * (94 / 22)", "solution_steps": ["Divide: 94 / 22 = 47/11", "Multiply: -630 * (47/11) = -29610/11", "Subtract: -3 - (-29610/11) = 29577/11"], "final_answer": "29577/11", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-630) * (94 / 22)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -630, \"c\": 94, \"d\": 22}", "seed": "3603440385502008473", "semantic_fingerprint": "sha256:ae1f92a1241fe05bbde833d2c8e929f2e9de90916dc36e1d92c119baf349f74e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001379", "prompt": "What is -201 * (763 / (17 * (-56))) + 7 / 5?", "solution_steps": ["Multiply: 17 * (-56) = -952", "Divide: 763 / (-952) = -109/136", "Multiply: -201 * (-109/136) = 21909/136", "Divide: 7 / 5 = 7/5", "Add: 21909/136 + 7/5 = 110497/680"], "final_answer": "110497/680", "answer_type": "rational", "kind": "expression", "math_text": "-201 * (763 / (17 * (-56))) + 7 / 5", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n (* n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -201, \"b\": 763, \"c\": 17, \"d\": -56, \"e\": 7, \"f\": 5}", "seed": "2682046768838348919", "semantic_fingerprint": "sha256:be84931633e438a9fc4c9466561a6c9df9f49d89e55a6899e47b1847701bbb90", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001380", "prompt": "Find x: 11(x + 2) = 9(x - 87) + 781", "solution_steps": ["Expand: 11x + 22 = 9(x - 87) + 781", "Expand: 11x + 22 = 9x - 783 + 781", "Combine constants: 11x + 22 = 9x - 2", "Subtract 9x from both sides: 2x + 22 = -2", "Subtract 22 from both sides: 2x = -24", "Divide both sides by 2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) = 9(x - 87) + 781", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 9, \"d\": 87, \"f\": 781, \"x\": -12}", "seed": "10162539717175116897", "semantic_fingerprint": "sha256:49cefcf74e78b929274f9f29894d6e2da78ea12d98f128fef2353b71dd8939df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001381", "prompt": "Solve the equation 2x - 83 = 8x - 75 for x.", "solution_steps": ["Subtract 8x from both sides: -6x - 83 = -75", "Add 83 to both sides: -6x = 8", "Divide both sides by -6: x = -4/3"], "final_answer": "-4/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 83 = 8x - 75", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 83, \"c\": 8, \"d\": 75}", "seed": "15945625908195940012", "semantic_fingerprint": "sha256:362e37009dddd2081b475cd73122c09246343ef83ac0a3a596ec8e140488c332", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001382", "prompt": "Find x: 11x = 7(x + 8) - 64", "solution_steps": ["Expand: 11x = 7x + 56 - 64", "Combine constants: 11x = 7x - 8", "Subtract 7x from both sides: 4x = -8", "Divide both sides by 4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 7(x + 8) - 64", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 8, \"e\": -64, \"x\": -2}", "seed": "11156721831449030993", "semantic_fingerprint": "sha256:113be73d92a222419f5ce1d48e4c0c26e3e8344923d3f31d7c203cd154bccafd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001383", "prompt": "What is 7 * 927 + (-29 - 0 - 2)?", "solution_steps": ["Multiply: 7 * 927 = 6489", "Subtract: -29 - 0 = -29", "Subtract: -29 - 2 = -31", "Add: 6489 + (-31) = 6458"], "final_answer": "6458", "answer_type": "integer", "kind": "expression", "math_text": "7 * 927 + (-29 - 0 - 2)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 927, \"c\": -29, \"d\": 0, \"e\": 2}", "seed": "8083874209660876835", "semantic_fingerprint": "sha256:1b9fd95ac1b6258fc2e742a8c030e31fb6165dacb811652d11f5b2e722876ff7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001384", "prompt": "Find x: 7x - 134 = 12(x - 7)", "solution_steps": ["Expand: 7x - 134 = 12x - 84", "Subtract 12x from both sides: -5x - 134 = -84", "Add 134 to both sides: -5x = 50", "Divide both sides by -5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 134 = 12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 7, \"e\": -134, \"x\": -10}", "seed": "8459784485933214811", "semantic_fingerprint": "sha256:93b0de9926e328bdecd73117b4203b9bd0daf866bd320b640d1afb8a86f5b3c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001385", "prompt": "What value of x satisfies -5(x - 9) + 235 = 4(x + 61)?", "solution_steps": ["Expand: -5x + 45 + 235 = 4(x + 61)", "Expand: -5x + 45 + 235 = 4x + 244", "Combine constants: -5x + 280 = 4x + 244", "Subtract 4x from both sides: -9x + 280 = 244", "Subtract 280 from both sides: -9x = -36", "Divide both sides by -9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 9) + 235 = 4(x + 61)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 4, \"d\": 61, \"f\": 235, \"x\": 4}", "seed": "17271873827619805075", "semantic_fingerprint": "sha256:95cc704ec0d9302e60f83a15707a46171c5cd6df94e95a00c34e9a6f4446fda9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001386", "prompt": "Solve the equation 4(x + 71) - 8 = x + 9 for x.", "solution_steps": ["Expand: 4x + 284 - 8 = x + 9", "Combine constants: 4x + 276 = x + 9", "Subtract x from both sides: 3x + 276 = 9", "Subtract 276 from both sides: 3x = -267", "Divide both sides by 3: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 71) - 8 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 71, \"c\": 8, \"d\": 9}", "seed": "5999120466324597513", "semantic_fingerprint": "sha256:780efdbb24229a06765c1c4e0244106a12172cb56b2880330b863fe1d2b4b3ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001387", "prompt": "What value of x satisfies -6x - 800 = -7x - 809?", "solution_steps": ["Add 7x to both sides: x - 800 = -809", "Add 800 to both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 800 = -7x - 809", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 800, \"c\": -7, \"e\": -809, \"x\": -9}", "seed": "12537430605159920105", "semantic_fingerprint": "sha256:c3b188a800594d635ceff529dd4efd4ad767f4e297ff2d299f13f58e7788a7f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001388", "prompt": "What is -940 - (-2 + 4) / (-807)?", "solution_steps": ["Add: -2 + 4 = 2", "Divide: 2 / (-807) = -2/807", "Subtract: -940 - (-2/807) = -758578/807"], "final_answer": "-758578/807", "answer_type": "rational", "kind": "expression", "math_text": "-940 - (-2 + 4) / (-807)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -940, \"b\": -2, \"c\": 4, \"d\": -807}", "seed": "3001954576994557062", "semantic_fingerprint": "sha256:0d3b2793869e157101936c39814ff4737a2403c7bee5fcd90d0d755ddd000ebd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001389", "prompt": "Calculate: -49 / 44 - (-7) + 669 - (-764)", "solution_steps": ["Divide: -49 / 44 = -49/44", "Subtract: -49/44 - (-7) = 259/44", "Add: 259/44 + 669 = 29695/44", "Subtract: 29695/44 - (-764) = 63311/44"], "final_answer": "63311/44", "answer_type": "rational", "kind": "expression", "math_text": "-49 / 44 - (-7) + 669 - (-764)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 44, \"c\": -7, \"d\": 669, \"e\": -764}", "seed": "16428151634359454179", "semantic_fingerprint": "sha256:58179d5beaf940d45ad9debfe6e72780ee3478d154e5a2a5441be7b4862dc6d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001390", "prompt": "Solve the equation 10(x + 24) - 89 = x + 196 for x.", "solution_steps": ["Expand: 10x + 240 - 89 = x + 196", "Combine constants: 10x + 151 = x + 196", "Subtract x from both sides: 9x + 151 = 196", "Subtract 151 from both sides: 9x = 45", "Divide both sides by 9: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 24) - 89 = x + 196", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 24, \"c\": 89, \"e\": 196, \"x\": 5}", "seed": "364251438721358984", "semantic_fingerprint": "sha256:857ed87459cf495d706a904bca6ff91cad2997fe37824598f926c9be83c409f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001391", "prompt": "Solve the equation 3(x + 15) + 82 = x + 143 for x.", "solution_steps": ["Expand: 3x + 45 + 82 = x + 143", "Combine constants: 3x + 127 = x + 143", "Subtract x from both sides: 2x + 127 = 143", "Subtract 127 from both sides: 2x = 16", "Divide both sides by 2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 15) + 82 = x + 143", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 15, \"c\": 82, \"e\": 143, \"x\": 8}", "seed": "3347601740878493248", "semantic_fingerprint": "sha256:d45f01851cfc5f3e794cdfb16fc96cd0d89592a1d3b7f59f404209ee5dc51015", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001392", "prompt": "Solve for x: 6x - 318 = 2(x - 171)", "solution_steps": ["Expand: 6x - 318 = 2x - 342", "Subtract 2x from both sides: 4x - 318 = -342", "Add 318 to both sides: 4x = -24", "Divide both sides by 4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 318 = 2(x - 171)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 171, \"e\": -318, \"x\": -6}", "seed": "9896631679510883296", "semantic_fingerprint": "sha256:b612c27b596c85c23d546ee9d616ad45cc7ccb5ae1cfbbbcdaacdfec83043d9d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001393", "prompt": "Compute: (-13 + (-65)) / (-4 - 20 / (-6))", "solution_steps": ["Add: -13 + (-65) = -78", "Divide: 20 / (-6) = -10/3", "Subtract: -4 - (-10/3) = -2/3", "Divide: -78 / (-2/3) = 117"], "final_answer": "117", "answer_type": "integer", "kind": "expression", "math_text": "(-13 + (-65)) / (-4 - 20 / (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -65, \"c\": -4, \"d\": 20, \"e\": -6}", "seed": "1257509957744874080", "semantic_fingerprint": "sha256:fd8f1dfb833747dd17224c65357fe017da3a26b9b75f43171d417ffb5b9ffed0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001394", "prompt": "Solve the equation 6(x + 5) - 5 = x + 60 for x.", "solution_steps": ["Expand: 6x + 30 - 5 = x + 60", "Combine constants: 6x + 25 = x + 60", "Subtract x from both sides: 5x + 25 = 60", "Subtract 25 from both sides: 5x = 35", "Divide both sides by 5: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) - 5 = x + 60", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 5, \"e\": 60, \"x\": 7}", "seed": "2012676691889479281", "semantic_fingerprint": "sha256:1929d0ebceafb5f074f8235bf38189649bf734f658f4ae4637d9637236a51c3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001395", "prompt": "Solve for x: -5(x - 13) - 33 = x + 433", "solution_steps": ["Expand: -5x + 65 - 33 = x + 433", "Combine constants: -5x + 32 = x + 433", "Subtract x from both sides: -6x + 32 = 433", "Subtract 32 from both sides: -6x = 401", "Divide both sides by -6: x = -401/6"], "final_answer": "-401/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 13) - 33 = x + 433", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 13, \"c\": 33, \"d\": 433}", "seed": "9489167985796696797", "semantic_fingerprint": "sha256:a1650430cc4f43162765f5f973d2ebdbe8e906c7ff5449bac78de48dc1d4d016", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001396", "prompt": "Compute: 63 * (-2) / (-14) - (83 + 65) * (-54)", "solution_steps": ["Multiply: 63 * (-2) = -126", "Divide: -126 / (-14) = 9", "Add: 83 + 65 = 148", "Multiply: 148 * (-54) = -7992", "Subtract: 9 - (-7992) = 8001"], "final_answer": "8001", "answer_type": "integer", "kind": "expression", "math_text": "63 * (-2) / (-14) - (83 + 65) * (-54)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -2, \"c\": -14, \"d\": 83, \"e\": 65, \"f\": -54}", "seed": "332830895241360380", "semantic_fingerprint": "sha256:f5844aaa970e47e53d582c9dcd6de1f9cf87ccdc1423ff9f814d50117425e15a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001397", "prompt": "Calculate: (-83 - (-75) - (-205)) * (-65)", "solution_steps": ["Subtract: -83 - (-75) = -8", "Subtract: -8 - (-205) = 197", "Multiply: 197 * (-65) = -12805"], "final_answer": "-12805", "answer_type": "integer", "kind": "expression", "math_text": "(-83 - (-75) - (-205)) * (-65)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -75, \"c\": -205, \"d\": -65}", "seed": "4548730979847196786", "semantic_fingerprint": "sha256:fd269cdf2729da4be00b49368bff7c04b38bd319bda94bad683b56bf95d42434", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001398", "prompt": "What is 0 * (780 / 69 + (-313)) * (-52)?", "solution_steps": ["Divide: 780 / 69 = 260/23", "Add: 260/23 + (-313) = -6939/23", "Multiply: 0 * (-6939/23) = 0", "Multiply: 0 * (-52) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (780 / 69 + (-313)) * (-52)", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 780, \"c\": 69, \"d\": -313, \"e\": -52}", "seed": "3310193514302243875", "semantic_fingerprint": "sha256:9e1e760b4071b1d57f75462447ed32167580bb21710d6e9cc4e0798963fc5aaa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001399", "prompt": "What is 11 + 31 + (5 - (-97) - 64)?", "solution_steps": ["Add: 11 + 31 = 42", "Subtract: 5 - (-97) = 102", "Subtract: 102 - 64 = 38", "Add: 42 + 38 = 80"], "final_answer": "80", "answer_type": "integer", "kind": "expression", "math_text": "11 + 31 + (5 - (-97) - 64)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 31, \"c\": 5, \"d\": -97, \"e\": 64}", "seed": "994209004116203802", "semantic_fingerprint": "sha256:24236e012104f3527d02ef02ac9d0354ee0c56d7580badd07add812f19a7d18b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001400", "prompt": "What is 6 * 99 + (-2) + (-68)?", "solution_steps": ["Multiply: 6 * 99 = 594", "Add: 594 + (-2) = 592", "Add: 592 + (-68) = 524"], "final_answer": "524", "answer_type": "integer", "kind": "expression", "math_text": "6 * 99 + (-2) + (-68)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 99, \"c\": -2, \"d\": -68}", "seed": "795552396171534776", "semantic_fingerprint": "sha256:a0932f08585ec4d9482ef383c3d27612b4a0b307ae513d7e4fcd6bddb7544075", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001401", "prompt": "Solve the equation 2x = -2(x + 7) - 564 for x.", "solution_steps": ["Expand: 2x = -2x - 14 - 564", "Combine constants: 2x = -2x - 578", "Add 2x to both sides: 4x = -578", "Divide both sides by 4: x = -289/2"], "final_answer": "-289/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = -2(x + 7) - 564", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -2, \"c\": 7, \"d\": 564}", "seed": "14955498020491268939", "semantic_fingerprint": "sha256:34fc4d188b971d0dad6624a6ae83d0517a56d803f4cb52347360a353df235fa1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001402", "prompt": "Evaluate: (-979 + (-1) - 83) * (-98) + 713", "solution_steps": ["Add: -979 + (-1) = -980", "Subtract: -980 - 83 = -1063", "Multiply: -1063 * (-98) = 104174", "Add: 104174 + 713 = 104887"], "final_answer": "104887", "answer_type": "integer", "kind": "expression", "math_text": "(-979 + (-1) - 83) * (-98) + 713", "variable": null, "family": "expression_4op", "shape": "(+ (* (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -979, \"b\": -1, \"c\": 83, \"d\": -98, \"e\": 713}", "seed": "10241080620588620291", "semantic_fingerprint": "sha256:92416faf3eef1a2c3246131a330f5479176b6ebf7a02029dc9c107c0b7804b9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001403", "prompt": "Evaluate: 51 - (0 + (-3 / 95 + (-1)))", "solution_steps": ["Divide: -3 / 95 = -3/95", "Add: -3/95 + (-1) = -98/95", "Add: 0 + (-98/95) = -98/95", "Subtract: 51 - (-98/95) = 4943/95"], "final_answer": "4943/95", "answer_type": "rational", "kind": "expression", "math_text": "51 - (0 + (-3 / 95 + (-1)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 0, \"c\": -3, \"d\": 95, \"e\": -1}", "seed": "16803363231651808728", "semantic_fingerprint": "sha256:2eed2a837009228daaf344ec75c75e01b6e4554de9806bbd092f8657edbd48b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001404", "prompt": "Compute: (-7 - 9 * (-499)) / 5", "solution_steps": ["Multiply: 9 * (-499) = -4491", "Subtract: -7 - (-4491) = 4484", "Divide: 4484 / 5 = 4484/5"], "final_answer": "4484/5", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 9 * (-499)) / 5", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": -499, \"d\": 5}", "seed": "8487296734970759924", "semantic_fingerprint": "sha256:1f6cdadfadf70cf118883f67965913058f3637511f89698744a90e2dcd7a0c48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001405", "prompt": "Find x: 4(x + 87) + 72 = x + 462", "solution_steps": ["Expand: 4x + 348 + 72 = x + 462", "Combine constants: 4x + 420 = x + 462", "Subtract x from both sides: 3x + 420 = 462", "Subtract 420 from both sides: 3x = 42", "Divide both sides by 3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 87) + 72 = x + 462", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 87, \"c\": 72, \"e\": 462, \"x\": 14}", "seed": "17570226138485797060", "semantic_fingerprint": "sha256:da31f65350c63421cef11193ccb2dba2eecb31dd947ca7792083e54cfec7da12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001406", "prompt": "What is 2 + (-46 - (-634 + 11)) / (-29 + (-773))?", "solution_steps": ["Add: -634 + 11 = -623", "Subtract: -46 - (-623) = 577", "Add: -29 + (-773) = -802", "Divide: 577 / (-802) = -577/802", "Add: 2 + (-577/802) = 1027/802"], "final_answer": "1027/802", "answer_type": "rational", "kind": "expression", "math_text": "2 + (-46 - (-634 + 11)) / (-29 + (-773))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n (+ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -46, \"c\": -634, \"d\": 11, \"e\": -29, \"f\": -773}", "seed": "5670875109622099463", "semantic_fingerprint": "sha256:4d813d9bbf477229d6bb0b195f55e8c21dc4b0ecd627c307a8946b1859e27bc9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001407", "prompt": "Evaluate: -84 + 9 + 58 - (41 + 8)", "solution_steps": ["Add: -84 + 9 = -75", "Add: -75 + 58 = -17", "Add: 41 + 8 = 49", "Subtract: -17 - 49 = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "-84 + 9 + 58 - (41 + 8)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 9, \"c\": 58, \"d\": 41, \"e\": 8}", "seed": "2658532139676355778", "semantic_fingerprint": "sha256:26edc26ffa6ad4cc4d687ad65d98e3d0aae30faf601f221bc670ef4de87d5323", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001408", "prompt": "Evaluate: -7 - 17 + (-360 / 37 - (-95 + (-3)))", "solution_steps": ["Subtract: -7 - 17 = -24", "Divide: -360 / 37 = -360/37", "Add: -95 + (-3) = -98", "Subtract: -360/37 - (-98) = 3266/37", "Add: -24 + 3266/37 = 2378/37"], "final_answer": "2378/37", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 17 + (-360 / 37 - (-95 + (-3)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 17, \"c\": -360, \"d\": 37, \"e\": -95, \"f\": -3}", "seed": "11696311922660903078", "semantic_fingerprint": "sha256:38fc70b6951d97ae0abb7d73181e6d47e389d011b35f0a17fe95cf16ec62947c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001409", "prompt": "Solve the equation 8x = -4(x + 87) - 7 for x.", "solution_steps": ["Expand: 8x = -4x - 348 - 7", "Combine constants: 8x = -4x - 355", "Add 4x to both sides: 12x = -355", "Divide both sides by 12: x = -355/12"], "final_answer": "-355/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = -4(x + 87) - 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -4, \"c\": 87, \"d\": 7}", "seed": "4112851553888379685", "semantic_fingerprint": "sha256:931f18c71cb4c4cb32c8bd13ec32490a1e2abb3830f4a5c95b966931fb63aaa4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001410", "prompt": "Solve the equation -5(x - 62) + 466 = -8(x + 241) for x.", "solution_steps": ["Expand: -5x + 310 + 466 = -8(x + 241)", "Expand: -5x + 310 + 466 = -8x - 1928", "Combine constants: -5x + 776 = -8x - 1928", "Add 8x to both sides: 3x + 776 = -1928", "Subtract 776 from both sides: 3x = -2704", "Divide both sides by 3: x = -2704/3"], "final_answer": "-2704/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 62) + 466 = -8(x + 241)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 62, \"c\": 466, \"d\": -8, \"e\": 241}", "seed": "4154153340006127252", "semantic_fingerprint": "sha256:ca19264267de416f505ba66cf23e6fc5231f0f33d506310d0f1bffe08322a057", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001411", "prompt": "Calculate: -515 / (-902) * (9 / (-9))", "solution_steps": ["Divide: -515 / (-902) = 515/902", "Divide: 9 / (-9) = -1", "Multiply: (515/902) * (-1) = -515/902"], "final_answer": "-515/902", "answer_type": "rational", "kind": "expression", "math_text": "-515 / (-902) * (9 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -515, \"b\": -902, \"c\": 9, \"d\": -9}", "seed": "14738350289275502720", "semantic_fingerprint": "sha256:9059991b46337bea7aa3c92e2fc61e1a44fd55edd66f137a135199ffc77a69fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001412", "prompt": "What value of x satisfies 2(x + 1) + 78 = x + 93?", "solution_steps": ["Expand: 2x + 2 + 78 = x + 93", "Combine constants: 2x + 80 = x + 93", "Subtract x from both sides: x + 80 = 93", "Subtract 80 from both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 1) + 78 = x + 93", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 78, \"d\": 93}", "seed": "8812263618557011041", "semantic_fingerprint": "sha256:8ce0e1607d76aa5080b868df4bb893cb45425865a10bb00cfd7dc3445c466cc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001413", "prompt": "Find x: 10(x + 24) + 8 = x + 392", "solution_steps": ["Expand: 10x + 240 + 8 = x + 392", "Combine constants: 10x + 248 = x + 392", "Subtract x from both sides: 9x + 248 = 392", "Subtract 248 from both sides: 9x = 144", "Divide both sides by 9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 24) + 8 = x + 392", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 24, \"c\": 8, \"e\": 392, \"x\": 16}", "seed": "12581019076911912024", "semantic_fingerprint": "sha256:114759ed9f4dadd8e15b54c844c3fce116ae7fe227f666eb6bcf8e4d56e3f694", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001414", "prompt": "Find x: 6(x + 130) + 76 = x + 956", "solution_steps": ["Expand: 6x + 780 + 76 = x + 956", "Combine constants: 6x + 856 = x + 956", "Subtract x from both sides: 5x + 856 = 956", "Subtract 856 from both sides: 5x = 100", "Divide both sides by 5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 130) + 76 = x + 956", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 130, \"c\": 76, \"e\": 956, \"x\": 20}", "seed": "3153314051548132179", "semantic_fingerprint": "sha256:7cfb5a7b5debdb81125fae4ea8295cf03fe4f04da4c18f0cff640223c2061097", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001415", "prompt": "Calculate: 748 / (-3) * (-17 + (-8) + 85)", "solution_steps": ["Divide: 748 / (-3) = -748/3", "Add: -17 + (-8) = -25", "Add: -25 + 85 = 60", "Multiply: (-748/3) * 60 = -14960"], "final_answer": "-14960", "answer_type": "integer", "kind": "expression", "math_text": "748 / (-3) * (-17 + (-8) + 85)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 748, \"b\": -3, \"c\": -17, \"d\": -8, \"e\": 85}", "seed": "12360249360218024197", "semantic_fingerprint": "sha256:4294e1b9062e31794a8462212c52ec30aa36fb0fdbf5d77ab111518dbc02c0b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001416", "prompt": "Solve for x: -7(x + 6) - 21 = x + 57", "solution_steps": ["Expand: -7x - 42 - 21 = x + 57", "Combine constants: -7x - 63 = x + 57", "Subtract x from both sides: -8x - 63 = 57", "Add 63 to both sides: -8x = 120", "Divide both sides by -8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 6) - 21 = x + 57", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 21, \"e\": 57, \"x\": -15}", "seed": "871793410681001115", "semantic_fingerprint": "sha256:6b41c8951847ecf0b5f7cdc743f1b1888ba37bd1c8e0cbc4c441b060d4156c8a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001417", "prompt": "Solve for x: 5x - 323 = -9x - 533", "solution_steps": ["Add 9x to both sides: 14x - 323 = -533", "Add 323 to both sides: 14x = -210", "Divide both sides by 14: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 323 = -9x - 533", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 323, \"c\": -9, \"e\": -533, \"x\": -15}", "seed": "13842160541051672371", "semantic_fingerprint": "sha256:0569db9ff13c7ddfbba632fa6bff2376cbbbc9f7291b0931c58f1b6fc06f042e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001418", "prompt": "Solve the equation 3x - 3 = 12x - 183 for x.", "solution_steps": ["Subtract 12x from both sides: -9x - 3 = -183", "Add 3 to both sides: -9x = -180", "Divide both sides by -9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 3 = 12x - 183", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 12, \"e\": -183, \"x\": 20}", "seed": "7962018592184877983", "semantic_fingerprint": "sha256:0e8caafc97058d7d76be7f3ac5ec8e4c760b7bfad4a1e5b1953bce94ce37600f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001419", "prompt": "Calculate: (782 + 5) / (-8 + 56)", "solution_steps": ["Add: 782 + 5 = 787", "Add: -8 + 56 = 48", "Divide: 787 / 48 = 787/48"], "final_answer": "787/48", "answer_type": "rational", "kind": "expression", "math_text": "(782 + 5) / (-8 + 56)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 782, \"b\": 5, \"c\": -8, \"d\": 56}", "seed": "635411587838052919", "semantic_fingerprint": "sha256:ff2b9b40d79764faf6d88f42f534567b34108a42cd0fbfdfcae708faa370879b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001420", "prompt": "Solve the equation 11x = -11(x + 577) - 84 for x.", "solution_steps": ["Expand: 11x = -11x - 6347 - 84", "Combine constants: 11x = -11x - 6431", "Add 11x to both sides: 22x = -6431", "Divide both sides by 22: x = -6431/22"], "final_answer": "-6431/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = -11(x + 577) - 84", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -11, \"c\": 577, \"d\": 84}", "seed": "12800157047395080274", "semantic_fingerprint": "sha256:098221d0b580e0fc55915f2e2ccdfe278147fd5beda4e0f8351629a71b9ef0eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001421", "prompt": "Calculate: 1 * (-8 + (-52)) * (95 - 18) - 28", "solution_steps": ["Add: -8 + (-52) = -60", "Multiply: 1 * (-60) = -60", "Subtract: 95 - 18 = 77", "Multiply: -60 * 77 = -4620", "Subtract: -4620 - 28 = -4648"], "final_answer": "-4648", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-8 + (-52)) * (95 - 18) - 28", "variable": null, "family": "expression_5op", "shape": "(- (* (* n (+ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -8, \"c\": -52, \"d\": 95, \"e\": 18, \"f\": 28}", "seed": "571383241550553193", "semantic_fingerprint": "sha256:37208d4b6f1ac38738d7a6d4ae4b7afad77f7ebc8c98cdd440c5eea7f61a0359", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001422", "prompt": "Evaluate: 5 + (-1 + 53 * (-68) + 7)", "solution_steps": ["Multiply: 53 * (-68) = -3604", "Add: -1 + (-3604) = -3605", "Add: -3605 + 7 = -3598", "Add: 5 + (-3598) = -3593"], "final_answer": "-3593", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-1 + 53 * (-68) + 7)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -1, \"c\": 53, \"d\": -68, \"e\": 7}", "seed": "14037791817599341334", "semantic_fingerprint": "sha256:3cedbea87ae5ef021d9f6d20f8d722fed5657ec0186bbf72917023cc8a54d3b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001423", "prompt": "Solve the equation -11(x - 5) - 92 = x + 11 for x.", "solution_steps": ["Expand: -11x + 55 - 92 = x + 11", "Combine constants: -11x - 37 = x + 11", "Subtract x from both sides: -12x - 37 = 11", "Add 37 to both sides: -12x = 48", "Divide both sides by -12: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 5) - 92 = x + 11", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 92, \"e\": 11, \"x\": -4}", "seed": "13178999048945650896", "semantic_fingerprint": "sha256:abfe601c8f6d45965dab5a4d19ad9481478dadac07978f86c4cb868b994b4710", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001424", "prompt": "What is -3 * 70 + 72 + (-77)?", "solution_steps": ["Multiply: -3 * 70 = -210", "Add: -210 + 72 = -138", "Add: -138 + (-77) = -215"], "final_answer": "-215", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 70 + 72 + (-77)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 70, \"c\": 72, \"d\": -77}", "seed": "11255811862659680305", "semantic_fingerprint": "sha256:d10645a52a42733e56ec5d1aa7307ed02ed6f7f35d060dd774b52d80875a04b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001425", "prompt": "What value of x satisfies -5x - 34 = -2x - 49?", "solution_steps": ["Add 2x to both sides: -3x - 34 = -49", "Add 34 to both sides: -3x = -15", "Divide both sides by -3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 34 = -2x - 49", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 34, \"c\": -2, \"e\": -49, \"x\": 5}", "seed": "12767048334319880000", "semantic_fingerprint": "sha256:89dba0a821ad85b2071a5595619a1d9ab0c5f6327529ceacd306a3831ad62312", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001426", "prompt": "What value of x satisfies -5(x - 22) - 7 = x + 1?", "solution_steps": ["Expand: -5x + 110 - 7 = x + 1", "Combine constants: -5x + 103 = x + 1", "Subtract x from both sides: -6x + 103 = 1", "Subtract 103 from both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 22) - 7 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 22, \"c\": 7, \"e\": 1, \"x\": 17}", "seed": "7815970103801885328", "semantic_fingerprint": "sha256:0a3e508c61f27ee641ec648a1da31055d36c45bd6fea2452f6d6af88790aba45", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001427", "prompt": "What value of x satisfies 8x - 184 = 3(x - 48)?", "solution_steps": ["Expand: 8x - 184 = 3x - 144", "Subtract 3x from both sides: 5x - 184 = -144", "Add 184 to both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 184 = 3(x - 48)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 48, \"e\": -184, \"x\": 8}", "seed": "8372883375329717383", "semantic_fingerprint": "sha256:83b830a99b2081a63e83ed53ce8549a63392dc146c0a32c70b2c5db7ca4209c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001428", "prompt": "Find x: 5(x - 19) + 69 = -2(x + 41)", "solution_steps": ["Expand: 5x - 95 + 69 = -2(x + 41)", "Expand: 5x - 95 + 69 = -2x - 82", "Combine constants: 5x - 26 = -2x - 82", "Add 2x to both sides: 7x - 26 = -82", "Add 26 to both sides: 7x = -56", "Divide both sides by 7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 19) + 69 = -2(x + 41)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 19, \"c\": -2, \"d\": 41, \"f\": 69, \"x\": -8}", "seed": "10587217791496827256", "semantic_fingerprint": "sha256:0f3839b99de5811c7b1c0267e56ab792e4068d3d3e18c0733ba321ceecb0879b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001429", "prompt": "What is 353 / (-5) + (147 + 74) + (-53)?", "solution_steps": ["Divide: 353 / (-5) = -353/5", "Add: 147 + 74 = 221", "Add: -353/5 + 221 = 752/5", "Add: 752/5 + (-53) = 487/5"], "final_answer": "487/5", "answer_type": "rational", "kind": "expression", "math_text": "353 / (-5) + (147 + 74) + (-53)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 353, \"b\": -5, \"c\": 147, \"d\": 74, \"e\": -53}", "seed": "2037196939803183587", "semantic_fingerprint": "sha256:2c3958a166373c5c73239310e5bdb4bb21359d5a3bfbfc433a583a1cfdd696b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001430", "prompt": "Evaluate: (9 / 13 - 1) * (-12 / 10)", "solution_steps": ["Divide: 9 / 13 = 9/13", "Subtract: 9/13 - 1 = -4/13", "Divide: -12 / 10 = -6/5", "Multiply: (-4/13) * (-6/5) = 24/65"], "final_answer": "24/65", "answer_type": "rational", "kind": "expression", "math_text": "(9 / 13 - 1) * (-12 / 10)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 13, \"c\": 1, \"d\": -12, \"e\": 10}", "seed": "16414045483868569840", "semantic_fingerprint": "sha256:435c3048f0da15ffa534e4c6085b0a9541361795a67c5609d0adb77e6895ea66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001431", "prompt": "Evaluate: -38 / 47 / (-8) - (47 + (173 - 74))", "solution_steps": ["Divide: -38 / 47 = -38/47", "Divide: (-38/47) / (-8) = 19/188", "Subtract: 173 - 74 = 99", "Add: 47 + 99 = 146", "Subtract: 19/188 - 146 = -27429/188"], "final_answer": "-27429/188", "answer_type": "rational", "kind": "expression", "math_text": "-38 / 47 / (-8) - (47 + (173 - 74))", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 47, \"c\": -8, \"d\": 47, \"e\": 173, \"f\": 74}", "seed": "17244014699635513638", "semantic_fingerprint": "sha256:8e05e35f192eba46fc40fe711b8929d7432e1e60dd1bbd25a6c59437cd0f8a79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001432", "prompt": "Find x: 2x - 25 = -5x - 151", "solution_steps": ["Add 5x to both sides: 7x - 25 = -151", "Add 25 to both sides: 7x = -126", "Divide both sides by 7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 25 = -5x - 151", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 25, \"c\": -5, \"e\": -151, \"x\": -18}", "seed": "18133670671755755212", "semantic_fingerprint": "sha256:e8063da8989b78d282d4c316a396ad61c6e96225ebf3e668db77643f14403caf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001433", "prompt": "Solve the equation -9(x + 14) + 388 = x + 33 for x.", "solution_steps": ["Expand: -9x - 126 + 388 = x + 33", "Combine constants: -9x + 262 = x + 33", "Subtract x from both sides: -10x + 262 = 33", "Subtract 262 from both sides: -10x = -229", "Divide both sides by -10: x = 229/10"], "final_answer": "229/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 14) + 388 = x + 33", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 14, \"c\": 388, \"d\": 33}", "seed": "16973832343777821102", "semantic_fingerprint": "sha256:c921d8894b626e4a8389df02c8014591dfcb947eeb1ed4f631bc22f7d0ba312a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001434", "prompt": "Evaluate: (-86 - (-575)) / (-3 - 197) / (-6)", "solution_steps": ["Subtract: -86 - (-575) = 489", "Subtract: -3 - 197 = -200", "Divide: 489 / (-200) = -489/200", "Divide: (-489/200) / (-6) = 163/400"], "final_answer": "163/400", "answer_type": "rational", "kind": "expression", "math_text": "(-86 - (-575)) / (-3 - 197) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -575, \"c\": -3, \"d\": 197, \"e\": -6}", "seed": "11133019386237329886", "semantic_fingerprint": "sha256:ccc66c3e2776d3c57138ce1a09c5bed848688b48ff463d66cc8f4f9ce7a1e0eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001435", "prompt": "Find x: 5x = 12(x + 2) - 157", "solution_steps": ["Expand: 5x = 12x + 24 - 157", "Combine constants: 5x = 12x - 133", "Subtract 12x from both sides: -7x = -133", "Divide both sides by -7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 12(x + 2) - 157", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 2, \"e\": -157, \"x\": 19}", "seed": "9603115598915850962", "semantic_fingerprint": "sha256:b8bea885e955bc6f9d6a1ec728514808a2347fe9db0d30b1c69c08d40a59d0a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001436", "prompt": "Compute: -8 + (-752 - (-357)) + 116", "solution_steps": ["Subtract: -752 - (-357) = -395", "Add: -8 + (-395) = -403", "Add: -403 + 116 = -287"], "final_answer": "-287", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-752 - (-357)) + 116", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -752, \"c\": -357, \"d\": 116}", "seed": "12784959233962321672", "semantic_fingerprint": "sha256:5f5b8b4dce546b8a3347d8ad94ed86f8e3ea4177df27bb76baf465a8df6c2608", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001437", "prompt": "Calculate: 88 - 40 * (66 / 77)", "solution_steps": ["Divide: 66 / 77 = 6/7", "Multiply: 40 * (6/7) = 240/7", "Subtract: 88 - 240/7 = 376/7"], "final_answer": "376/7", "answer_type": "rational", "kind": "expression", "math_text": "88 - 40 * (66 / 77)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 40, \"c\": 66, \"d\": 77}", "seed": "9260223159247278389", "semantic_fingerprint": "sha256:8a9d536d974042e0f1afe752aee248c68db65d1e97965dcb4bd3a5d03b61e038", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001438", "prompt": "Find x: -12(x - 10) + 5 = 5(x + 8)", "solution_steps": ["Expand: -12x + 120 + 5 = 5(x + 8)", "Expand: -12x + 120 + 5 = 5x + 40", "Combine constants: -12x + 125 = 5x + 40", "Subtract 5x from both sides: -17x + 125 = 40", "Subtract 125 from both sides: -17x = -85", "Divide both sides by -17: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 10) + 5 = 5(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 10, \"c\": 5, \"d\": 8, \"f\": 5, \"x\": 5}", "seed": "4337525265966288030", "semantic_fingerprint": "sha256:c6b9ae4b0a6f7b47b51ecded0a1c17b245da9312712f1c9785ab5fc4be433178", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001439", "prompt": "Compute: 0 / (-9 + 6) - (-200) / (-38)", "solution_steps": ["Add: -9 + 6 = -3", "Divide: 0 / (-3) = 0", "Divide: -200 / (-38) = 100/19", "Subtract: 0 - 100/19 = -100/19"], "final_answer": "-100/19", "answer_type": "rational", "kind": "expression", "math_text": "0 / (-9 + 6) - (-200) / (-38)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": 6, \"d\": -200, \"e\": -38}", "seed": "4148864592727627861", "semantic_fingerprint": "sha256:dc33d597de8111210166edde0852bfcf42da84a1b782f3c4c8c6b6b0e36f2896", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001440", "prompt": "What is -370 + 18 * 91 - (-9 + 376)?", "solution_steps": ["Multiply: 18 * 91 = 1638", "Add: -370 + 1638 = 1268", "Add: -9 + 376 = 367", "Subtract: 1268 - 367 = 901"], "final_answer": "901", "answer_type": "integer", "kind": "expression", "math_text": "-370 + 18 * 91 - (-9 + 376)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -370, \"b\": 18, \"c\": 91, \"d\": -9, \"e\": 376}", "seed": "10319878268481377456", "semantic_fingerprint": "sha256:ca7a5a410828a662b907ffa7e03c381c95be06de900e467da975ae77d09f02cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001441", "prompt": "What value of x satisfies 3(x - 91) + 655 = 4(x + 92)?", "solution_steps": ["Expand: 3x - 273 + 655 = 4(x + 92)", "Expand: 3x - 273 + 655 = 4x + 368", "Combine constants: 3x + 382 = 4x + 368", "Subtract 4x from both sides: -x + 382 = 368", "Subtract 382 from both sides: -x = -14", "Divide both sides by -1: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 91) + 655 = 4(x + 92)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 91, \"c\": 4, \"d\": 92, \"f\": 655, \"x\": 14}", "seed": "9085908627390207791", "semantic_fingerprint": "sha256:51104ea3f089379ebc507b38b562ce86884d5c949a8e87e192d47768d82a9ecb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001442", "prompt": "What is 96 - (1 / (64 + (-8)) + (-313))?", "solution_steps": ["Add: 64 + (-8) = 56", "Divide: 1 / 56 = 1/56", "Add: 1/56 + (-313) = -17527/56", "Subtract: 96 - (-17527/56) = 22903/56"], "final_answer": "22903/56", "answer_type": "rational", "kind": "expression", "math_text": "96 - (1 / (64 + (-8)) + (-313))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 1, \"c\": 64, \"d\": -8, \"e\": -313}", "seed": "11177598003544108237", "semantic_fingerprint": "sha256:25dc9180bb7f58fb1d19a6356beb5d23ce54736370ec5cf4d3afcc12450d8714", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001443", "prompt": "Calculate: -8 / (-14 - (-9) + (4 + (-2)) + (-28))", "solution_steps": ["Subtract: -14 - (-9) = -5", "Add: 4 + (-2) = 2", "Add: -5 + 2 = -3", "Add: -3 + (-28) = -31", "Divide: -8 / (-31) = 8/31"], "final_answer": "8/31", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-14 - (-9) + (4 + (-2)) + (-28))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (+ (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -14, \"c\": -9, \"d\": 4, \"e\": -2, \"f\": -28}", "seed": "14044642865161923736", "semantic_fingerprint": "sha256:c8fac5f8a83a73effb423d5d47d451fd38ac7632db4b1b053b594d8587c8d2ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001444", "prompt": "Find x: 11x = -5(x + 578) - 48", "solution_steps": ["Expand: 11x = -5x - 2890 - 48", "Combine constants: 11x = -5x - 2938", "Add 5x to both sides: 16x = -2938", "Divide both sides by 16: x = -1469/8"], "final_answer": "-1469/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = -5(x + 578) - 48", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -5, \"c\": 578, \"d\": 48}", "seed": "18394230195681059749", "semantic_fingerprint": "sha256:fbdfafcb857f67accc165db79f00b644d96b9486d574e4417c67f2cf04975b0a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001445", "prompt": "Solve the equation -4x = 3(x + 16) - 24 for x.", "solution_steps": ["Expand: -4x = 3x + 48 - 24", "Combine constants: -4x = 3x + 24", "Subtract 3x from both sides: -7x = 24", "Divide both sides by -7: x = -24/7"], "final_answer": "-24/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 3(x + 16) - 24", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 16, \"d\": 24}", "seed": "7028695383651922936", "semantic_fingerprint": "sha256:c36bbc4b64f72e06bc8cac5688356d51ddb9b615d49a8fc2c7b765c4abf41421", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001446", "prompt": "Compute: 52 - (-9) - (0 - (-6) - 2)", "solution_steps": ["Subtract: 52 - (-9) = 61", "Subtract: 0 - (-6) = 6", "Subtract: 6 - 2 = 4", "Subtract: 61 - 4 = 57"], "final_answer": "57", "answer_type": "integer", "kind": "expression", "math_text": "52 - (-9) - (0 - (-6) - 2)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -9, \"c\": 0, \"d\": -6, \"e\": 2}", "seed": "5398245193829347743", "semantic_fingerprint": "sha256:00860913992a96f15a3d4a704bc0001f91bc0acc3a8ad52007cb495302f8772f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001447", "prompt": "Calculate: 222 * 14 + (-6) + 59", "solution_steps": ["Multiply: 222 * 14 = 3108", "Add: 3108 + (-6) = 3102", "Add: 3102 + 59 = 3161"], "final_answer": "3161", "answer_type": "integer", "kind": "expression", "math_text": "222 * 14 + (-6) + 59", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 222, \"b\": 14, \"c\": -6, \"d\": 59}", "seed": "9733463856793027065", "semantic_fingerprint": "sha256:6b8f73b0436c4a521637704c5cc8e12c1f3972eb0968923cb7f1747713d971ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001448", "prompt": "Compute: -8 * 7 + 10 * 20", "solution_steps": ["Multiply: -8 * 7 = -56", "Multiply: 10 * 20 = 200", "Add: -56 + 200 = 144"], "final_answer": "144", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 7 + 10 * 20", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 10, \"d\": 20}", "seed": "7823106152728005910", "semantic_fingerprint": "sha256:6304a2017c350d4d189c69b3b38b3a2750a9e4e39b2163fbf16bb4af252c77bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001449", "prompt": "Calculate: -86 / 3 / ((-441 - (-5)) / 20)", "solution_steps": ["Divide: -86 / 3 = -86/3", "Subtract: -441 - (-5) = -436", "Divide: -436 / 20 = -109/5", "Divide: (-86/3) / (-109/5) = 430/327"], "final_answer": "430/327", "answer_type": "rational", "kind": "expression", "math_text": "-86 / 3 / ((-441 - (-5)) / 20)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 3, \"c\": -441, \"d\": -5, \"e\": 20}", "seed": "9887271296364836540", "semantic_fingerprint": "sha256:6fb03340461b4eb4fee6fe1c1e560cb425aa17147cb8149434fe7c0c99b52260", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001450", "prompt": "Compute: -429 - (-1) - (25 / (-315) - (-87))", "solution_steps": ["Subtract: -429 - (-1) = -428", "Divide: 25 / (-315) = -5/63", "Subtract: -5/63 - (-87) = 5476/63", "Subtract: -428 - 5476/63 = -32440/63"], "final_answer": "-32440/63", "answer_type": "rational", "kind": "expression", "math_text": "-429 - (-1) - (25 / (-315) - (-87))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -429, \"b\": -1, \"c\": 25, \"d\": -315, \"e\": -87}", "seed": "9300818329790714583", "semantic_fingerprint": "sha256:3bffbb2bcb8f7608859e52846722b9a6115f7f3d749295c413c274ea515e7bd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001451", "prompt": "Compute: (10 + 88 + 7 * (-61)) * (-90 / (-89))", "solution_steps": ["Add: 10 + 88 = 98", "Multiply: 7 * (-61) = -427", "Add: 98 + (-427) = -329", "Divide: -90 / (-89) = 90/89", "Multiply: -329 * (90/89) = -29610/89"], "final_answer": "-29610/89", "answer_type": "rational", "kind": "expression", "math_text": "(10 + 88 + 7 * (-61)) * (-90 / (-89))", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 88, \"c\": 7, \"d\": -61, \"e\": -90, \"f\": -89}", "seed": "3564640015022833749", "semantic_fingerprint": "sha256:a0311424a432d9e52ff030313a0d8330e0bc8dec82a23e8ff2bbb4024e55e7f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001452", "prompt": "Calculate: -77 + (4 - (-52)) * (-1 + 794)", "solution_steps": ["Subtract: 4 - (-52) = 56", "Add: -1 + 794 = 793", "Multiply: 56 * 793 = 44408", "Add: -77 + 44408 = 44331"], "final_answer": "44331", "answer_type": "integer", "kind": "expression", "math_text": "-77 + (4 - (-52)) * (-1 + 794)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 4, \"c\": -52, \"d\": -1, \"e\": 794}", "seed": "8764928295816229208", "semantic_fingerprint": "sha256:4974981db39664d34eb3bff0c2b001638815c8fd0de6ea07775a1ebdacd043e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001453", "prompt": "Calculate: -42 * 43 - 64 + (72 - 49)", "solution_steps": ["Multiply: -42 * 43 = -1806", "Subtract: -1806 - 64 = -1870", "Subtract: 72 - 49 = 23", "Add: -1870 + 23 = -1847"], "final_answer": "-1847", "answer_type": "integer", "kind": "expression", "math_text": "-42 * 43 - 64 + (72 - 49)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 43, \"c\": 64, \"d\": 72, \"e\": 49}", "seed": "8731641572710859127", "semantic_fingerprint": "sha256:1f618f31cc5300e727e233e079567cbd34e7e395f3f6ca7024837adc65af17ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001454", "prompt": "What is (-2 * 410 - 75) * (17 * (-60))?", "solution_steps": ["Multiply: -2 * 410 = -820", "Subtract: -820 - 75 = -895", "Multiply: 17 * (-60) = -1020", "Multiply: -895 * (-1020) = 912900"], "final_answer": "912900", "answer_type": "integer", "kind": "expression", "math_text": "(-2 * 410 - 75) * (17 * (-60))", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 410, \"c\": 75, \"d\": 17, \"e\": -60}", "seed": "10516145882167833966", "semantic_fingerprint": "sha256:5348caa7cb12334e54a52cd6800ffffe2cd838abe70877796469fee2fdabb9bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001455", "prompt": "Compute: 627 * (-49) * (-2 / 20)", "solution_steps": ["Multiply: 627 * (-49) = -30723", "Divide: -2 / 20 = -1/10", "Multiply: -30723 * (-1/10) = 30723/10"], "final_answer": "30723/10", "answer_type": "rational", "kind": "expression", "math_text": "627 * (-49) * (-2 / 20)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 627, \"b\": -49, \"c\": -2, \"d\": 20}", "seed": "11673811183368650177", "semantic_fingerprint": "sha256:f4280468abf7b2c31d815d1c5acaa3d07cc9b4477e44393621f7d8329f9b5b6e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001456", "prompt": "Compute: (-6 - (-7)) / 898 * (6 - (4 - (-1)))", "solution_steps": ["Subtract: -6 - (-7) = 1", "Divide: 1 / 898 = 1/898", "Subtract: 4 - (-1) = 5", "Subtract: 6 - 5 = 1", "Multiply: (1/898) * 1 = 1/898"], "final_answer": "1/898", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - (-7)) / 898 * (6 - (4 - (-1)))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -7, \"c\": 898, \"d\": 6, \"e\": 4, \"f\": -1}", "seed": "1588517940668824945", "semantic_fingerprint": "sha256:9d8dbf9361a83b224b47b4cd9c2364fb46a9638b909f0f8b9d60396b4992d959", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001457", "prompt": "Evaluate: -8 / 258 * (-534) / (-33 - (4 - (-81)))", "solution_steps": ["Divide: -8 / 258 = -4/129", "Multiply: (-4/129) * (-534) = 712/43", "Subtract: 4 - (-81) = 85", "Subtract: -33 - 85 = -118", "Divide: (712/43) / (-118) = -356/2537"], "final_answer": "-356/2537", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 258 * (-534) / (-33 - (4 - (-81)))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 258, \"c\": -534, \"d\": -33, \"e\": 4, \"f\": -81}", "seed": "1322916024755485257", "semantic_fingerprint": "sha256:df49806e3360a8afa93e4c8bd0c5a2ed0764599ea5447ad94b755b84add9fc6a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001458", "prompt": "Solve for x: 7x = -8(x + 85) + 530", "solution_steps": ["Expand: 7x = -8x - 680 + 530", "Combine constants: 7x = -8x - 150", "Add 8x to both sides: 15x = -150", "Divide both sides by 15: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -8(x + 85) + 530", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 85, \"e\": 530, \"x\": -10}", "seed": "16322132111802430094", "semantic_fingerprint": "sha256:dbed748b4d3838e04840026e8beef22439132b5b5a1cbfa6142e1c6f657b9d4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001459", "prompt": "What is (-1 / 80 - (-45)) * 59?", "solution_steps": ["Divide: -1 / 80 = -1/80", "Subtract: -1/80 - (-45) = 3599/80", "Multiply: (3599/80) * 59 = 212341/80"], "final_answer": "212341/80", "answer_type": "rational", "kind": "expression", "math_text": "(-1 / 80 - (-45)) * 59", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 80, \"c\": -45, \"d\": 59}", "seed": "13143193894895618749", "semantic_fingerprint": "sha256:a4cc657c412253f083c3b98eb0ec7d06fa1fab3d379db3a7e1af6dd6b9281fdd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001460", "prompt": "What value of x satisfies 9(x + 3) + 54 = x + 169?", "solution_steps": ["Expand: 9x + 27 + 54 = x + 169", "Combine constants: 9x + 81 = x + 169", "Subtract x from both sides: 8x + 81 = 169", "Subtract 81 from both sides: 8x = 88", "Divide both sides by 8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 3) + 54 = x + 169", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 54, \"e\": 169, \"x\": 11}", "seed": "5776650439815066414", "semantic_fingerprint": "sha256:ebbcceff86bff7ad0f688b53fc275eaca5a71f68c984c50f35724f11d3c8d73a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001461", "prompt": "Compute: -96 + (-57 - (-8 + (-2)))", "solution_steps": ["Add: -8 + (-2) = -10", "Subtract: -57 - (-10) = -47", "Add: -96 + (-47) = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "expression", "math_text": "-96 + (-57 - (-8 + (-2)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -57, \"c\": -8, \"d\": -2}", "seed": "4393173797258015981", "semantic_fingerprint": "sha256:c1ccb13afd8cd8c7e0340b11f3de94cee31ccfd9664f9d3d8abc9ca0055238ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001462", "prompt": "Evaluate: 60 - 9 * (-4) + (-10) * (-35)", "solution_steps": ["Multiply: 9 * (-4) = -36", "Subtract: 60 - (-36) = 96", "Multiply: -10 * (-35) = 350", "Add: 96 + 350 = 446"], "final_answer": "446", "answer_type": "integer", "kind": "expression", "math_text": "60 - 9 * (-4) + (-10) * (-35)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 9, \"c\": -4, \"d\": -10, \"e\": -35}", "seed": "4813653570335182394", "semantic_fingerprint": "sha256:d92e6cc12021d47142ed532afea52bdf1531105067fed58efb10b9ab4b6f6551", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001463", "prompt": "Compute: (0 - (6 + (-3))) / (-6) + 284", "solution_steps": ["Add: 6 + (-3) = 3", "Subtract: 0 - 3 = -3", "Divide: -3 / (-6) = 1/2", "Add: 1/2 + 284 = 569/2"], "final_answer": "569/2", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (6 + (-3))) / (-6) + 284", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": -3, \"d\": -6, \"e\": 284}", "seed": "1287350974980881026", "semantic_fingerprint": "sha256:afe4a1ffa01ec2124006fe54b69709ad0dd4635f78874053fe36e286ed28fdfd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001464", "prompt": "Solve for x: 3(x + 44) = 4(x - 4) + 163", "solution_steps": ["Expand: 3x + 132 = 4(x - 4) + 163", "Expand: 3x + 132 = 4x - 16 + 163", "Combine constants: 3x + 132 = 4x + 147", "Subtract 4x from both sides: -x + 132 = 147", "Subtract 132 from both sides: -x = 15", "Divide both sides by -1: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 44) = 4(x - 4) + 163", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 44, \"c\": 4, \"d\": 4, \"f\": 163, \"x\": -15}", "seed": "4333845560447536276", "semantic_fingerprint": "sha256:05822e02e9c33179ef2e639d7562e74ce2c4e095e18b097213c797bb2dd47a69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001465", "prompt": "Compute: (-979 - (-26)) * (-5 - (9 + (-495)))", "solution_steps": ["Subtract: -979 - (-26) = -953", "Add: 9 + (-495) = -486", "Subtract: -5 - (-486) = 481", "Multiply: -953 * 481 = -458393"], "final_answer": "-458393", "answer_type": "integer", "kind": "expression", "math_text": "(-979 - (-26)) * (-5 - (9 + (-495)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -979, \"b\": -26, \"c\": -5, \"d\": 9, \"e\": -495}", "seed": "17545488315552130456", "semantic_fingerprint": "sha256:738a5fd8af0eb0c11deab6f1238a4e2899ff2406e8c0563d3138c47da2e900a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001466", "prompt": "Compute: -17 * (-917) + (-2) * (-6)", "solution_steps": ["Multiply: -17 * (-917) = 15589", "Multiply: -2 * (-6) = 12", "Add: 15589 + 12 = 15601"], "final_answer": "15601", "answer_type": "integer", "kind": "expression", "math_text": "-17 * (-917) + (-2) * (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -917, \"c\": -2, \"d\": -6}", "seed": "15960166385066309736", "semantic_fingerprint": "sha256:71cd31c049de6653a8fda0f453015d51463d5b76a62b9361dc683b2d9b67dc07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001467", "prompt": "What value of x satisfies 9x = 11(x + 614) - 6?", "solution_steps": ["Expand: 9x = 11x + 6754 - 6", "Combine constants: 9x = 11x + 6748", "Subtract 11x from both sides: -2x = 6748", "Divide both sides by -2: x = -3374"], "final_answer": "-3374", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 11(x + 614) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 614, \"d\": 6}", "seed": "8791089738107504918", "semantic_fingerprint": "sha256:c3f78368d471f68ee6644f662bf90c91d9fd78ed14aeee3e2b32ca8d8aa3f5ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001468", "prompt": "Calculate: 983 - (-53) + (654 / 750 - 51) - (-83)", "solution_steps": ["Subtract: 983 - (-53) = 1036", "Divide: 654 / 750 = 109/125", "Subtract: 109/125 - 51 = -6266/125", "Add: 1036 + (-6266/125) = 123234/125", "Subtract: 123234/125 - (-83) = 133609/125"], "final_answer": "133609/125", "answer_type": "rational", "kind": "expression", "math_text": "983 - (-53) + (654 / 750 - 51) - (-83)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (- (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 983, \"b\": -53, \"c\": 654, \"d\": 750, \"e\": 51, \"f\": -83}", "seed": "13823430720116341052", "semantic_fingerprint": "sha256:cb12ff95006a568d97b9ba272165a997e80352d39230bc5f125f1f4bafc37f74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001469", "prompt": "Find x: -5x - 626 = 9x - 864", "solution_steps": ["Subtract 9x from both sides: -14x - 626 = -864", "Add 626 to both sides: -14x = -238", "Divide both sides by -14: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 626 = 9x - 864", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 626, \"c\": 9, \"e\": -864, \"x\": 17}", "seed": "2797453208486577661", "semantic_fingerprint": "sha256:1aff4b76396a79c34cc140b7581dea30c9f4ee54f145cee278e9a1509c319a22", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001470", "prompt": "Calculate: -2 - (-93 - 4) / 694 - (317 - 219)", "solution_steps": ["Subtract: -93 - 4 = -97", "Divide: -97 / 694 = -97/694", "Subtract: -2 - (-97/694) = -1291/694", "Subtract: 317 - 219 = 98", "Subtract: -1291/694 - 98 = -69303/694"], "final_answer": "-69303/694", "answer_type": "rational", "kind": "expression", "math_text": "-2 - (-93 - 4) / 694 - (317 - 219)", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ (- n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -93, \"c\": 4, \"d\": 694, \"e\": 317, \"f\": 219}", "seed": "5972906476709044247", "semantic_fingerprint": "sha256:1c6a52698eee27092c2944b1cfc39696d2cad5afc5fc0ccf62aa0211d61dda63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001471", "prompt": "Solve for x: -10(x - 6) - 4 = x + 221", "solution_steps": ["Expand: -10x + 60 - 4 = x + 221", "Combine constants: -10x + 56 = x + 221", "Subtract x from both sides: -11x + 56 = 221", "Subtract 56 from both sides: -11x = 165", "Divide both sides by -11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 6) - 4 = x + 221", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": 4, \"e\": 221, \"x\": -15}", "seed": "1169485619854436810", "semantic_fingerprint": "sha256:4ca92781ee6e92b4877d98f9e873b6e355f88071a9e25978fd3302560681246b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001472", "prompt": "Compute: 2 + (87 - 17 - 860) - 805", "solution_steps": ["Subtract: 87 - 17 = 70", "Subtract: 70 - 860 = -790", "Add: 2 + (-790) = -788", "Subtract: -788 - 805 = -1593"], "final_answer": "-1593", "answer_type": "integer", "kind": "expression", "math_text": "2 + (87 - 17 - 860) - 805", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 87, \"c\": 17, \"d\": 860, \"e\": 805}", "seed": "9118360005853276674", "semantic_fingerprint": "sha256:ecab182d92edf128763bdcfe1f40a966dac90a83a52091c96757666e4adb4e77", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001473", "prompt": "Compute: -5 * (-48 - 66 + 39 + (-58) - (-580))", "solution_steps": ["Subtract: -48 - 66 = -114", "Add: -114 + 39 = -75", "Add: -75 + (-58) = -133", "Subtract: -133 - (-580) = 447", "Multiply: -5 * 447 = -2235"], "final_answer": "-2235", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-48 - 66 + 39 + (-58) - (-580))", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ (+ (- n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -48, \"c\": 66, \"d\": 39, \"e\": -58, \"f\": -580}", "seed": "11943531015301862058", "semantic_fingerprint": "sha256:b21fa4516b19368feebc1a8c70db0d6528e0de158d7946a7b2012d69c4375d6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001474", "prompt": "Calculate: (-934 + 111) / 57 + (-54)", "solution_steps": ["Add: -934 + 111 = -823", "Divide: -823 / 57 = -823/57", "Add: -823/57 + (-54) = -3901/57"], "final_answer": "-3901/57", "answer_type": "rational", "kind": "expression", "math_text": "(-934 + 111) / 57 + (-54)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -934, \"b\": 111, \"c\": 57, \"d\": -54}", "seed": "8211280609868330087", "semantic_fingerprint": "sha256:a630c14e63b3196a3d71ec8313d40b4b926a48705f8639feb923aca5e20b717a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001475", "prompt": "Evaluate: (81 - (-5) / 57 - 42) * (92 / (-7))", "solution_steps": ["Divide: -5 / 57 = -5/57", "Subtract: 81 - (-5/57) = 4622/57", "Subtract: 4622/57 - 42 = 2228/57", "Divide: 92 / (-7) = -92/7", "Multiply: (2228/57) * (-92/7) = -204976/399"], "final_answer": "-204976/399", "answer_type": "rational", "kind": "expression", "math_text": "(81 - (-5) / 57 - 42) * (92 / (-7))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n (/ n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -5, \"c\": 57, \"d\": 42, \"e\": 92, \"f\": -7}", "seed": "13930331486161758086", "semantic_fingerprint": "sha256:b5bdd29e0d5819a9720c58255d23bbdb8a09ca03c4f66eff18faf4270fa4a3cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001476", "prompt": "Evaluate: 0 + 6 + (-7) / (-5 - (-9)) + (-28)", "solution_steps": ["Add: 0 + 6 = 6", "Subtract: -5 - (-9) = 4", "Divide: -7 / 4 = -7/4", "Add: 6 + (-7/4) = 17/4", "Add: 17/4 + (-28) = -95/4"], "final_answer": "-95/4", "answer_type": "rational", "kind": "expression", "math_text": "0 + 6 + (-7) / (-5 - (-9)) + (-28)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": -7, \"d\": -5, \"e\": -9, \"f\": -28}", "seed": "8756766654293174213", "semantic_fingerprint": "sha256:25b20c5ba5ad7d0af8f535574f10021f6c58e57bf64dfd283e1edf57150d3eeb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001477", "prompt": "Solve the equation 6x - 902 = 10(x - 85) for x.", "solution_steps": ["Expand: 6x - 902 = 10x - 850", "Subtract 10x from both sides: -4x - 902 = -850", "Add 902 to both sides: -4x = 52", "Divide both sides by -4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 902 = 10(x - 85)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 10, \"c\": 85, \"e\": -902, \"x\": -13}", "seed": "9641387075235553614", "semantic_fingerprint": "sha256:7ad01d5dbb63969ec5fd835c13c159b34eb78776d3b3755f60c5c8fc2e18372d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001478", "prompt": "Find x: 3(x + 9) = 11(x - 27) + 420", "solution_steps": ["Expand: 3x + 27 = 11(x - 27) + 420", "Expand: 3x + 27 = 11x - 297 + 420", "Combine constants: 3x + 27 = 11x + 123", "Subtract 11x from both sides: -8x + 27 = 123", "Subtract 27 from both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) = 11(x - 27) + 420", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 11, \"d\": 27, \"f\": 420, \"x\": -12}", "seed": "8061251537107013241", "semantic_fingerprint": "sha256:78aa343fa110cfc058fb28c993d288e46e98ebefc5ba757afc83b6a0585c64b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001479", "prompt": "What is (-70 - 496) / 5 / (34 - (53 - (-1)))?", "solution_steps": ["Subtract: -70 - 496 = -566", "Divide: -566 / 5 = -566/5", "Subtract: 53 - (-1) = 54", "Subtract: 34 - 54 = -20", "Divide: (-566/5) / (-20) = 283/50"], "final_answer": "283/50", "answer_type": "rational", "kind": "expression", "math_text": "(-70 - 496) / 5 / (34 - (53 - (-1)))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 496, \"c\": 5, \"d\": 34, \"e\": 53, \"f\": -1}", "seed": "7211477667215853294", "semantic_fingerprint": "sha256:104e23df68c66d2146bf30fe7d87d4a5911ab51133d52a08ff577f4de41d21e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001480", "prompt": "Evaluate: (125 / 21 - (-81)) * 491", "solution_steps": ["Divide: 125 / 21 = 125/21", "Subtract: 125/21 - (-81) = 1826/21", "Multiply: (1826/21) * 491 = 896566/21"], "final_answer": "896566/21", "answer_type": "rational", "kind": "expression", "math_text": "(125 / 21 - (-81)) * 491", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 125, \"b\": 21, \"c\": -81, \"d\": 491}", "seed": "3016364634659188925", "semantic_fingerprint": "sha256:6b55610fe0c5d5c841af9509ec599b389472aea57d8075929b0770ef9ff9d71a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001481", "prompt": "Find x: -9x = 3(x + 8) - 48", "solution_steps": ["Expand: -9x = 3x + 24 - 48", "Combine constants: -9x = 3x - 24", "Subtract 3x from both sides: -12x = -24", "Divide both sides by -12: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 3(x + 8) - 48", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 8, \"e\": -48, \"x\": 2}", "seed": "8449791848051254126", "semantic_fingerprint": "sha256:88ef7e826be1665b170df11c348b310a617f30e2d045fefd45aaa261fae29c50", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001482", "prompt": "Evaluate: 52 * 5 + 9 + 42", "solution_steps": ["Multiply: 52 * 5 = 260", "Add: 260 + 9 = 269", "Add: 269 + 42 = 311"], "final_answer": "311", "answer_type": "integer", "kind": "expression", "math_text": "52 * 5 + 9 + 42", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 5, \"c\": 9, \"d\": 42}", "seed": "17635837752444430705", "semantic_fingerprint": "sha256:bfe51b3dbd0ee3b11bdf7e391d4906771ce27ca50b9505bf17455a70608a18fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001483", "prompt": "What is -4 - (-33 + (-5 + 47)) / 1?", "solution_steps": ["Add: -5 + 47 = 42", "Add: -33 + 42 = 9", "Divide: 9 / 1 = 9", "Subtract: -4 - 9 = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-33 + (-5 + 47)) / 1", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -33, \"c\": -5, \"d\": 47, \"e\": 1}", "seed": "11726885191423496350", "semantic_fingerprint": "sha256:7f16b07bd7ec6db2f2390f716363f651000a63680308caa1f65cf8f46dd7ffc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001484", "prompt": "Find x: -12x = 9(x + 44) - 1", "solution_steps": ["Expand: -12x = 9x + 396 - 1", "Combine constants: -12x = 9x + 395", "Subtract 9x from both sides: -21x = 395", "Divide both sides by -21: x = -395/21"], "final_answer": "-395/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 9(x + 44) - 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 44, \"d\": 1}", "seed": "15162957205361817200", "semantic_fingerprint": "sha256:c9d105ce5cdca7d2909d3729f1888dc75d256ebc0f080ce83a4647210e000e06", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001485", "prompt": "Evaluate: 8 - 0 / 22 - (-82) - 79", "solution_steps": ["Divide: 0 / 22 = 0", "Subtract: 8 - 0 = 8", "Subtract: 8 - (-82) = 90", "Subtract: 90 - 79 = 11"], "final_answer": "11", "answer_type": "integer", "kind": "expression", "math_text": "8 - 0 / 22 - (-82) - 79", "variable": null, "family": "expression_4op", "shape": "(- (- (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": 22, \"d\": -82, \"e\": 79}", "seed": "6598135263302507648", "semantic_fingerprint": "sha256:f8226ef199d1825f52e5ff66c66fa4ccd061ee4949ddbc85460b214901bed743", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001486", "prompt": "What value of x satisfies 11(x - 8) + 2 = 12(x + 59)?", "solution_steps": ["Expand: 11x - 88 + 2 = 12(x + 59)", "Expand: 11x - 88 + 2 = 12x + 708", "Combine constants: 11x - 86 = 12x + 708", "Subtract 12x from both sides: -x - 86 = 708", "Add 86 to both sides: -x = 794", "Divide both sides by -1: x = -794"], "final_answer": "-794", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 8) + 2 = 12(x + 59)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 2, \"d\": 12, \"e\": 59}", "seed": "9477311788893417686", "semantic_fingerprint": "sha256:968601b7337ab0e52d464c7851381f130e6f0127f871bfaa3b440e51b271be30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001487", "prompt": "Calculate: 702 * (20 / (-9)) * (-5 * 1)", "solution_steps": ["Divide: 20 / (-9) = -20/9", "Multiply: 702 * (-20/9) = -1560", "Multiply: -5 * 1 = -5", "Multiply: -1560 * (-5) = 7800"], "final_answer": "7800", "answer_type": "integer", "kind": "expression", "math_text": "702 * (20 / (-9)) * (-5 * 1)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 702, \"b\": 20, \"c\": -9, \"d\": -5, \"e\": 1}", "seed": "6945754865621798342", "semantic_fingerprint": "sha256:7cbf5474c4b9c5a0c4abdc9778b79007eefa2a4e6c95a7587cb363a4d7e38b68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001488", "prompt": "Compute: -25 * 46 * (-49 / 412)", "solution_steps": ["Multiply: -25 * 46 = -1150", "Divide: -49 / 412 = -49/412", "Multiply: -1150 * (-49/412) = 28175/206"], "final_answer": "28175/206", "answer_type": "rational", "kind": "expression", "math_text": "-25 * 46 * (-49 / 412)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 46, \"c\": -49, \"d\": 412}", "seed": "6629215124941583034", "semantic_fingerprint": "sha256:fb18e3688f39d819332270248d28b44b6152cd5277bb0a2d179761b0cebc5793", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001489", "prompt": "What value of x satisfies 3x = 10(x + 8) + 25?", "solution_steps": ["Expand: 3x = 10x + 80 + 25", "Combine constants: 3x = 10x + 105", "Subtract 10x from both sides: -7x = 105", "Divide both sides by -7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 10(x + 8) + 25", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 10, \"c\": 8, \"e\": 25, \"x\": -15}", "seed": "18385263920559448372", "semantic_fingerprint": "sha256:546e8c4150f8fc206d2e989783af58d757c7cd48b9ef576ba835bee1fd98590f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001490", "prompt": "Find x: -11(x - 217) - 32 = x + 82", "solution_steps": ["Expand: -11x + 2387 - 32 = x + 82", "Combine constants: -11x + 2355 = x + 82", "Subtract x from both sides: -12x + 2355 = 82", "Subtract 2355 from both sides: -12x = -2273", "Divide both sides by -12: x = 2273/12"], "final_answer": "2273/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 217) - 32 = x + 82", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 217, \"c\": 32, \"d\": 82}", "seed": "8915390563399799461", "semantic_fingerprint": "sha256:3165bb1bea5bab183050da6dfb6cd8df818b8d8123fa3e4e9092e9fff82baaf5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001491", "prompt": "Solve for x: -10(x - 38) + 195 = 9(x + 28)", "solution_steps": ["Expand: -10x + 380 + 195 = 9(x + 28)", "Expand: -10x + 380 + 195 = 9x + 252", "Combine constants: -10x + 575 = 9x + 252", "Subtract 9x from both sides: -19x + 575 = 252", "Subtract 575 from both sides: -19x = -323", "Divide both sides by -19: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 38) + 195 = 9(x + 28)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 38, \"c\": 9, \"d\": 28, \"f\": 195, \"x\": 17}", "seed": "8285987621127521211", "semantic_fingerprint": "sha256:9b0a437275b832b28584a58b8feb039057f7d9e9307dafc5f26fbd0f8404cce3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001492", "prompt": "What value of x satisfies 5x - 51 = 8x - 9?", "solution_steps": ["Subtract 8x from both sides: -3x - 51 = -9", "Add 51 to both sides: -3x = 42", "Divide both sides by -3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 51 = 8x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 51, \"c\": 8, \"e\": -9, \"x\": -14}", "seed": "12271637076744120683", "semantic_fingerprint": "sha256:43e6f7f12f545485209d3c6b8a7ad625ee93a8312c2a9e82ba7745278b77b881", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001493", "prompt": "Compute: 810 + (-84) - (-9 - (-5 - 71))", "solution_steps": ["Add: 810 + (-84) = 726", "Subtract: -5 - 71 = -76", "Subtract: -9 - (-76) = 67", "Subtract: 726 - 67 = 659"], "final_answer": "659", "answer_type": "integer", "kind": "expression", "math_text": "810 + (-84) - (-9 - (-5 - 71))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 810, \"b\": -84, \"c\": -9, \"d\": -5, \"e\": 71}", "seed": "18144479935333179945", "semantic_fingerprint": "sha256:126a17bf49ba12aea51b6581f669340e99850f5a9e16d254c3890a7b3477880c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001494", "prompt": "Solve the equation 12(x + 97) = -8(x - 83) + 620 for x.", "solution_steps": ["Expand: 12x + 1164 = -8(x - 83) + 620", "Expand: 12x + 1164 = -8x + 664 + 620", "Combine constants: 12x + 1164 = -8x + 1284", "Add 8x to both sides: 20x + 1164 = 1284", "Subtract 1164 from both sides: 20x = 120", "Divide both sides by 20: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 97) = -8(x - 83) + 620", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 97, \"c\": -8, \"d\": 83, \"f\": 620, \"x\": 6}", "seed": "7851613775006266741", "semantic_fingerprint": "sha256:bfe6165d5ab0dd38cfb37b638692b85f0e1a02c58424cf180d916cba6d636122", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001495", "prompt": "Compute: 50 * (-43 - (1 / (-5) + 3 - (-259)))", "solution_steps": ["Divide: 1 / (-5) = -1/5", "Add: -1/5 + 3 = 14/5", "Subtract: 14/5 - (-259) = 1309/5", "Subtract: -43 - 1309/5 = -1524/5", "Multiply: 50 * (-1524/5) = -15240"], "final_answer": "-15240", "answer_type": "integer", "kind": "expression", "math_text": "50 * (-43 - (1 / (-5) + 3 - (-259)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (- (+ (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -43, \"c\": 1, \"d\": -5, \"e\": 3, \"f\": -259}", "seed": "1950010395898396523", "semantic_fingerprint": "sha256:9e48506fc2358cf5bf3845b8dd6f2fec335e41d7cce3aa4007faa6418634f823", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001496", "prompt": "Solve for x: 6x = 5(x + 7) + 6", "solution_steps": ["Expand: 6x = 5x + 35 + 6", "Combine constants: 6x = 5x + 41", "Subtract 5x from both sides: x = 41"], "final_answer": "41", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 5(x + 7) + 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 7, \"d\": 6}", "seed": "8958655990357955543", "semantic_fingerprint": "sha256:9087d226f1c6b2ec59ffaa37e9bb494f91c2e82e0ae1cdd54e22eb3116d4eb00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001497", "prompt": "Evaluate: (-94 + (-563) / (-8)) * (96 / (828 + (-3)))", "solution_steps": ["Divide: -563 / (-8) = 563/8", "Add: -94 + 563/8 = -189/8", "Add: 828 + (-3) = 825", "Divide: 96 / 825 = 32/275", "Multiply: (-189/8) * (32/275) = -756/275"], "final_answer": "-756/275", "answer_type": "rational", "kind": "expression", "math_text": "(-94 + (-563) / (-8)) * (96 / (828 + (-3)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -563, \"c\": -8, \"d\": 96, \"e\": 828, \"f\": -3}", "seed": "18119987271367430323", "semantic_fingerprint": "sha256:a546e26ee9f558bfbf702f38ed48e7776a0cff2eb532ed22ea01e5bd158a8c08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001498", "prompt": "Find x: -6(x + 95) + 25 = x + 9", "solution_steps": ["Expand: -6x - 570 + 25 = x + 9", "Combine constants: -6x - 545 = x + 9", "Subtract x from both sides: -7x - 545 = 9", "Add 545 to both sides: -7x = 554", "Divide both sides by -7: x = -554/7"], "final_answer": "-554/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 95) + 25 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 95, \"c\": 25, \"d\": 9}", "seed": "2039674305945539738", "semantic_fingerprint": "sha256:142e59f3e102ab1e084eb8f26a3c6d6b27ac1dbf4de3791ce291d20336d42361", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001499", "prompt": "Compute: (-717 * (-4 - 4) + 27) / (30 + (-981))", "solution_steps": ["Subtract: -4 - 4 = -8", "Multiply: -717 * (-8) = 5736", "Add: 5736 + 27 = 5763", "Add: 30 + (-981) = -951", "Divide: 5763 / (-951) = -1921/317"], "final_answer": "-1921/317", "answer_type": "rational", "kind": "expression", "math_text": "(-717 * (-4 - 4) + 27) / (30 + (-981))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n (- n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -717, \"b\": -4, \"c\": 4, \"d\": 27, \"e\": 30, \"f\": -981}", "seed": "9902557846320033709", "semantic_fingerprint": "sha256:8d75826120aaa3d31669aa64d7b19d73fb72df53d4cc6c612ae142fbbf7fa682", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001500", "prompt": "Calculate: 61 / (-3 * (-8 + 90))", "solution_steps": ["Add: -8 + 90 = 82", "Multiply: -3 * 82 = -246", "Divide: 61 / (-246) = -61/246"], "final_answer": "-61/246", "answer_type": "rational", "kind": "expression", "math_text": "61 / (-3 * (-8 + 90))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -3, \"c\": -8, \"d\": 90}", "seed": "15437287126124576747", "semantic_fingerprint": "sha256:25c99b09bf3b8788d009607e69027e2bba933f205e91758a7a7390aab1c0d6e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001501", "prompt": "What value of x satisfies 11x = -10(x + 3) + 72?", "solution_steps": ["Expand: 11x = -10x - 30 + 72", "Combine constants: 11x = -10x + 42", "Add 10x to both sides: 21x = 42", "Divide both sides by 21: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -10(x + 3) + 72", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -10, \"c\": 3, \"e\": 72, \"x\": 2}", "seed": "9970188248842473640", "semantic_fingerprint": "sha256:9efd997fa3e0d82ab1653fe51f42cd434a7e0c417e4dff97e2e8cb58b651795e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001502", "prompt": "Calculate: 26 + (-66 - (-926)) + (-2)", "solution_steps": ["Subtract: -66 - (-926) = 860", "Add: 26 + 860 = 886", "Add: 886 + (-2) = 884"], "final_answer": "884", "answer_type": "integer", "kind": "expression", "math_text": "26 + (-66 - (-926)) + (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -66, \"c\": -926, \"d\": -2}", "seed": "9745530683004340019", "semantic_fingerprint": "sha256:7a3c436f7daf34b5b549d4760968fb5177962a9d136bd8fe296ba1b9c8a843e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001503", "prompt": "Calculate: 7 / (-76) + (-9 + 7) + (-309)", "solution_steps": ["Divide: 7 / (-76) = -7/76", "Add: -9 + 7 = -2", "Add: -7/76 + (-2) = -159/76", "Add: -159/76 + (-309) = -23643/76"], "final_answer": "-23643/76", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-76) + (-9 + 7) + (-309)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -76, \"c\": -9, \"d\": 7, \"e\": -309}", "seed": "4349458465431420211", "semantic_fingerprint": "sha256:247552e09b570c947ed8f0a3d7aaed96ce06042cf785b067f75f6ba6a69f7c48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001504", "prompt": "Calculate: -9 * ((5 + 7 * (-26) - (-9)) / 23)", "solution_steps": ["Multiply: 7 * (-26) = -182", "Add: 5 + (-182) = -177", "Subtract: -177 - (-9) = -168", "Divide: -168 / 23 = -168/23", "Multiply: -9 * (-168/23) = 1512/23"], "final_answer": "1512/23", "answer_type": "rational", "kind": "expression", "math_text": "-9 * ((5 + 7 * (-26) - (-9)) / 23)", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- (+ n (* n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 7, \"d\": -26, \"e\": -9, \"f\": 23}", "seed": "10707641697327350446", "semantic_fingerprint": "sha256:03ee536031fe974d93fa77cb10cb2aac2b10e55686cb07951bd95dc20ae25ddd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001505", "prompt": "What value of x satisfies 12x = 10(x + 8) + 76?", "solution_steps": ["Expand: 12x = 10x + 80 + 76", "Combine constants: 12x = 10x + 156", "Subtract 10x from both sides: 2x = 156", "Divide both sides by 2: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 10(x + 8) + 76", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 10, \"c\": 8, \"d\": 76}", "seed": "10050151154808500399", "semantic_fingerprint": "sha256:660465dbe03a5b3efac543444a719d9e1429a51f811c9829547dd518ef193687", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001506", "prompt": "Solve the equation 7x = 8(x + 43) - 4 for x.", "solution_steps": ["Expand: 7x = 8x + 344 - 4", "Combine constants: 7x = 8x + 340", "Subtract 8x from both sides: -x = 340", "Divide both sides by -1: x = -340"], "final_answer": "-340", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 8(x + 43) - 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 43, \"d\": 4}", "seed": "13127727610446319153", "semantic_fingerprint": "sha256:fd219e96614d0e3a2e9e509d139e85ab585a75f8978f6949f2a76e2817a9fec9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001507", "prompt": "Find x: 2(x + 252) = 3(x - 3) + 3", "solution_steps": ["Expand: 2x + 504 = 3(x - 3) + 3", "Expand: 2x + 504 = 3x - 9 + 3", "Combine constants: 2x + 504 = 3x - 6", "Subtract 3x from both sides: -x + 504 = -6", "Subtract 504 from both sides: -x = -510", "Divide both sides by -1: x = 510"], "final_answer": "510", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 252) = 3(x - 3) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 252, \"c\": 3, \"d\": 3, \"e\": 3}", "seed": "12753048417778682600", "semantic_fingerprint": "sha256:a070ad425dc674044694f0b2a18ca53df4072204da522e713f397b10ead439f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001508", "prompt": "Calculate: -31 * 1 + 77 * 65", "solution_steps": ["Multiply: -31 * 1 = -31", "Multiply: 77 * 65 = 5005", "Add: -31 + 5005 = 4974"], "final_answer": "4974", "answer_type": "integer", "kind": "expression", "math_text": "-31 * 1 + 77 * 65", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 1, \"c\": 77, \"d\": 65}", "seed": "17820178826626876323", "semantic_fingerprint": "sha256:22a6127f1284e287ac7f0dda4cbe02abf9e1877be33a05a1218449acb96df807", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001509", "prompt": "Solve the equation 3(x + 4) = 4(x - 88) + 378 for x.", "solution_steps": ["Expand: 3x + 12 = 4(x - 88) + 378", "Expand: 3x + 12 = 4x - 352 + 378", "Combine constants: 3x + 12 = 4x + 26", "Subtract 4x from both sides: -x + 12 = 26", "Subtract 12 from both sides: -x = 14", "Divide both sides by -1: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 4) = 4(x - 88) + 378", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 4, \"d\": 88, \"f\": 378, \"x\": -14}", "seed": "6667369767857995680", "semantic_fingerprint": "sha256:b3e29575be123dfaa81d31be988a3a83aec7fa253a19fa424e09b8dd11fce353", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001510", "prompt": "Calculate: -3 + 75 + 257 + (2 + 443)", "solution_steps": ["Add: -3 + 75 = 72", "Add: 72 + 257 = 329", "Add: 2 + 443 = 445", "Add: 329 + 445 = 774"], "final_answer": "774", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 75 + 257 + (2 + 443)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 75, \"c\": 257, \"d\": 2, \"e\": 443}", "seed": "556365368465068683", "semantic_fingerprint": "sha256:562f6895aeb390cc5baf99c8252b5eb366e0f536e9ee5729ef05ee28aae9619f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001511", "prompt": "Compute: 29 * 878 * (6 + (-13) + (-9))", "solution_steps": ["Multiply: 29 * 878 = 25462", "Add: 6 + (-13) = -7", "Add: -7 + (-9) = -16", "Multiply: 25462 * (-16) = -407392"], "final_answer": "-407392", "answer_type": "integer", "kind": "expression", "math_text": "29 * 878 * (6 + (-13) + (-9))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 878, \"c\": 6, \"d\": -13, \"e\": -9}", "seed": "17573839785263232696", "semantic_fingerprint": "sha256:460c5558aae6025a20cec070d33b519c81476ed0656433afe03bfd942cb2ef37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001512", "prompt": "What is 22 - (-149) / 12 - (-27)?", "solution_steps": ["Divide: -149 / 12 = -149/12", "Subtract: 22 - (-149/12) = 413/12", "Subtract: 413/12 - (-27) = 737/12"], "final_answer": "737/12", "answer_type": "rational", "kind": "expression", "math_text": "22 - (-149) / 12 - (-27)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -149, \"c\": 12, \"d\": -27}", "seed": "13925639298034718681", "semantic_fingerprint": "sha256:d1f27f4eec6cde442b994e087d6c45f1c63b3960a74a91f993dcfe030758086d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001513", "prompt": "What value of x satisfies -3x - 968 = 11x - 688?", "solution_steps": ["Subtract 11x from both sides: -14x - 968 = -688", "Add 968 to both sides: -14x = 280", "Divide both sides by -14: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 968 = 11x - 688", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 968, \"c\": 11, \"e\": -688, \"x\": -20}", "seed": "13492674520178005725", "semantic_fingerprint": "sha256:da00ca1f933b81136b9c70750b7d0c5cdb4aaa3c7a01242b0240b4f9552364ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001514", "prompt": "Solve the equation 5(x + 31) = 2(x - 84) + 377 for x.", "solution_steps": ["Expand: 5x + 155 = 2(x - 84) + 377", "Expand: 5x + 155 = 2x - 168 + 377", "Combine constants: 5x + 155 = 2x + 209", "Subtract 2x from both sides: 3x + 155 = 209", "Subtract 155 from both sides: 3x = 54", "Divide both sides by 3: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 31) = 2(x - 84) + 377", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 31, \"c\": 2, \"d\": 84, \"f\": 377, \"x\": 18}", "seed": "135416696438558160", "semantic_fingerprint": "sha256:e7a7e4b0c72115eb4fa35a6b780ce7fe83142bc84cdff1ff2ecaa3dc3e4f7237", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001515", "prompt": "What is (59 + (-15) / (-51) * 1) / (-8)?", "solution_steps": ["Divide: -15 / (-51) = 5/17", "Multiply: (5/17) * 1 = 5/17", "Add: 59 + 5/17 = 1008/17", "Divide: (1008/17) / (-8) = -126/17"], "final_answer": "-126/17", "answer_type": "rational", "kind": "expression", "math_text": "(59 + (-15) / (-51) * 1) / (-8)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -15, \"c\": -51, \"d\": 1, \"e\": -8}", "seed": "4464366565312329020", "semantic_fingerprint": "sha256:7b4ac82f0d7d5a6cc41397def5196854a7f96db0f7feca7b9dfcaf42dd546308", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001516", "prompt": "Calculate: -81 * ((26 - (-97) / 30) / (-6)) / 729", "solution_steps": ["Divide: -97 / 30 = -97/30", "Subtract: 26 - (-97/30) = 877/30", "Divide: (877/30) / (-6) = -877/180", "Multiply: -81 * (-877/180) = 7893/20", "Divide: (7893/20) / 729 = 877/1620"], "final_answer": "877/1620", "answer_type": "rational", "kind": "expression", "math_text": "-81 * ((26 - (-97) / 30) / (-6)) / 729", "variable": null, "family": "expression_5op", "shape": "(/ (* n (/ (- n (/ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 26, \"c\": -97, \"d\": 30, \"e\": -6, \"f\": 729}", "seed": "13246255798855572528", "semantic_fingerprint": "sha256:9295ed55e6a301cbd3cbf3fb4a37ad7464a09de16f827021d95ad64f8cee0610", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001517", "prompt": "Compute: 0 + (-5) - (58 + 4 - 44)", "solution_steps": ["Add: 0 + (-5) = -5", "Add: 58 + 4 = 62", "Subtract: 62 - 44 = 18", "Subtract: -5 - 18 = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-5) - (58 + 4 - 44)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5, \"c\": 58, \"d\": 4, \"e\": 44}", "seed": "9304513909336620424", "semantic_fingerprint": "sha256:49d16e64346bcb9591cd8cda0a2094eb236720367291e9f148d6d8d08b6757af", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001518", "prompt": "Solve the equation -11x - 809 = 3x - 697 for x.", "solution_steps": ["Subtract 3x from both sides: -14x - 809 = -697", "Add 809 to both sides: -14x = 112", "Divide both sides by -14: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 809 = 3x - 697", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 809, \"c\": 3, \"e\": -697, \"x\": -8}", "seed": "12968211133608681936", "semantic_fingerprint": "sha256:ff5cde913d10e0451d7bac9a0361b279754d2f4ad56d8b22e21f3d75470287d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001519", "prompt": "Find x: 10x - 28 = 2(x - 62)", "solution_steps": ["Expand: 10x - 28 = 2x - 124", "Subtract 2x from both sides: 8x - 28 = -124", "Add 28 to both sides: 8x = -96", "Divide both sides by 8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 28 = 2(x - 62)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 62, \"e\": -28, \"x\": -12}", "seed": "15834710551736284047", "semantic_fingerprint": "sha256:5cc569622cadc66be9d7aca2927b038263eddc2d563ece3055475468f5265fb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001520", "prompt": "Calculate: -90 * (-287) + 141 * 98", "solution_steps": ["Multiply: -90 * (-287) = 25830", "Multiply: 141 * 98 = 13818", "Add: 25830 + 13818 = 39648"], "final_answer": "39648", "answer_type": "integer", "kind": "expression", "math_text": "-90 * (-287) + 141 * 98", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -287, \"c\": 141, \"d\": 98}", "seed": "11405301491662909045", "semantic_fingerprint": "sha256:2cc48324679616fcda89ae5be7f5c21d94cc542126485d64adc707b75b189d36", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001521", "prompt": "What value of x satisfies 7x - 813 = 12x - 758?", "solution_steps": ["Subtract 12x from both sides: -5x - 813 = -758", "Add 813 to both sides: -5x = 55", "Divide both sides by -5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 813 = 12x - 758", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 813, \"c\": 12, \"e\": -758, \"x\": -11}", "seed": "5288600982984008377", "semantic_fingerprint": "sha256:1ccbafe461b8a42ce58d405d39603ef1fa3584c9e49474497ae2f94d617bd769", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001522", "prompt": "Evaluate: (374 - (-427 - (-9)) + 6) * 5", "solution_steps": ["Subtract: -427 - (-9) = -418", "Subtract: 374 - (-418) = 792", "Add: 792 + 6 = 798", "Multiply: 798 * 5 = 3990"], "final_answer": "3990", "answer_type": "integer", "kind": "expression", "math_text": "(374 - (-427 - (-9)) + 6) * 5", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 374, \"b\": -427, \"c\": -9, \"d\": 6, \"e\": 5}", "seed": "203743596031165422", "semantic_fingerprint": "sha256:1f012ea0fae2223183fc8d20a5f0d23c76d460010a1d69a4c3c8756192963c88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001523", "prompt": "What value of x satisfies 4(x + 6) - 12 = x + 3?", "solution_steps": ["Expand: 4x + 24 - 12 = x + 3", "Combine constants: 4x + 12 = x + 3", "Subtract x from both sides: 3x + 12 = 3", "Subtract 12 from both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 6) - 12 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 12, \"d\": 3}", "seed": "2208644007288489243", "semantic_fingerprint": "sha256:23f3da7f5407b4eb1d8643435bea5bd43592d3cff0cbf18d6c684738e3245872", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001524", "prompt": "What is 673 - (88 - 9) - (77 + 80)?", "solution_steps": ["Subtract: 88 - 9 = 79", "Subtract: 673 - 79 = 594", "Add: 77 + 80 = 157", "Subtract: 594 - 157 = 437"], "final_answer": "437", "answer_type": "integer", "kind": "expression", "math_text": "673 - (88 - 9) - (77 + 80)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 673, \"b\": 88, \"c\": 9, \"d\": 77, \"e\": 80}", "seed": "4245805434152697774", "semantic_fingerprint": "sha256:f409fd557e008730b0d7ba92755d180e283dbceba4f097d5b434e43592c9318a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001525", "prompt": "What value of x satisfies 2(x + 4) + 47 = x + 39?", "solution_steps": ["Expand: 2x + 8 + 47 = x + 39", "Combine constants: 2x + 55 = x + 39", "Subtract x from both sides: x + 55 = 39", "Subtract 55 from both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 4) + 47 = x + 39", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 47, \"e\": 39, \"x\": -16}", "seed": "3711170915357838697", "semantic_fingerprint": "sha256:79af0128ef5a38094b73906c5a40043d869ee1d2e769a20f09dc8d5ad1c320ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001526", "prompt": "What is -13 * 241 / 4 * (-8) / (-17 + (-7))?", "solution_steps": ["Multiply: -13 * 241 = -3133", "Divide: -3133 / 4 = -3133/4", "Multiply: (-3133/4) * (-8) = 6266", "Add: -17 + (-7) = -24", "Divide: 6266 / (-24) = -3133/12"], "final_answer": "-3133/12", "answer_type": "rational", "kind": "expression", "math_text": "-13 * 241 / 4 * (-8) / (-17 + (-7))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ (* n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 241, \"c\": 4, \"d\": -8, \"e\": -17, \"f\": -7}", "seed": "6279687531742266707", "semantic_fingerprint": "sha256:2fb5e1821e129b9aec92f473336207f4b5c3feec47bae50d0f8d721d8e9108ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001527", "prompt": "Evaluate: -50 + (-322 - (179 + (-5))) / (-50 + 4)", "solution_steps": ["Add: 179 + (-5) = 174", "Subtract: -322 - 174 = -496", "Add: -50 + 4 = -46", "Divide: -496 / (-46) = 248/23", "Add: -50 + 248/23 = -902/23"], "final_answer": "-902/23", "answer_type": "rational", "kind": "expression", "math_text": "-50 + (-322 - (179 + (-5))) / (-50 + 4)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n (+ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -322, \"c\": 179, \"d\": -5, \"e\": -50, \"f\": 4}", "seed": "385103501369593174", "semantic_fingerprint": "sha256:c868400b65113542c971a4b12bc705680a88d4b3ef6bd5a8523166e78bbef078", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001528", "prompt": "Calculate: (122 - (-7 + 0)) * (-6)", "solution_steps": ["Add: -7 + 0 = -7", "Subtract: 122 - (-7) = 129", "Multiply: 129 * (-6) = -774"], "final_answer": "-774", "answer_type": "integer", "kind": "expression", "math_text": "(122 - (-7 + 0)) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 122, \"b\": -7, \"c\": 0, \"d\": -6}", "seed": "11633326734683455931", "semantic_fingerprint": "sha256:0ea49b52548c09840039d80015605c0daaeae615bce252054cfe2d069722c38b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001529", "prompt": "Calculate: (15 - 431 + (-3 - 28)) * (-4)", "solution_steps": ["Subtract: 15 - 431 = -416", "Subtract: -3 - 28 = -31", "Add: -416 + (-31) = -447", "Multiply: -447 * (-4) = 1788"], "final_answer": "1788", "answer_type": "integer", "kind": "expression", "math_text": "(15 - 431 + (-3 - 28)) * (-4)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 431, \"c\": -3, \"d\": 28, \"e\": -4}", "seed": "7743827233565269733", "semantic_fingerprint": "sha256:28e0e8f2c6ab5a767990b0237310fce418308af67ca7532d97fe1a361d9faa69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001530", "prompt": "What value of x satisfies 6(x - 72) + 470 = 2(x + 9)?", "solution_steps": ["Expand: 6x - 432 + 470 = 2(x + 9)", "Expand: 6x - 432 + 470 = 2x + 18", "Combine constants: 6x + 38 = 2x + 18", "Subtract 2x from both sides: 4x + 38 = 18", "Subtract 38 from both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 72) + 470 = 2(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 72, \"c\": 2, \"d\": 9, \"f\": 470, \"x\": -5}", "seed": "7667539054061079545", "semantic_fingerprint": "sha256:aeb2ffc1082d664545c9ad739421d661bd209276f22d7b6c25ec86626c1a3501", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001531", "prompt": "Solve the equation 6x - 16 = 7x - 31 for x.", "solution_steps": ["Subtract 7x from both sides: -x - 16 = -31", "Add 16 to both sides: -x = -15", "Divide both sides by -1: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 16 = 7x - 31", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 16, \"c\": 7, \"e\": -31, \"x\": 15}", "seed": "7987931740068608243", "semantic_fingerprint": "sha256:1c37bd8ec624c1d7c3ed3edd332ee0567158ea66503720c689b132c4cadd367b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001532", "prompt": "Calculate: 6 / (-988 + (-908) / (-3 + (-59 - 48)))", "solution_steps": ["Subtract: -59 - 48 = -107", "Add: -3 + (-107) = -110", "Divide: -908 / (-110) = 454/55", "Add: -988 + 454/55 = -53886/55", "Divide: 6 / (-53886/55) = -55/8981"], "final_answer": "-55/8981", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-988 + (-908) / (-3 + (-59 - 48)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (/ n (+ n (- n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -988, \"c\": -908, \"d\": -3, \"e\": -59, \"f\": 48}", "seed": "8180689778657940377", "semantic_fingerprint": "sha256:6102863e141e81d70820b1c2a4b54e772ffc1b1121987659c98c2e560eec6ff6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001533", "prompt": "Compute: (-2 + (-813)) * (-64 / (-331) / (-16))", "solution_steps": ["Add: -2 + (-813) = -815", "Divide: -64 / (-331) = 64/331", "Divide: (64/331) / (-16) = -4/331", "Multiply: -815 * (-4/331) = 3260/331"], "final_answer": "3260/331", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + (-813)) * (-64 / (-331) / (-16))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -813, \"c\": -64, \"d\": -331, \"e\": -16}", "seed": "3853058247849392847", "semantic_fingerprint": "sha256:7746bb95799a1858e37b74cabe2e06b8b179cd6593f0372a74132f9656494aba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001534", "prompt": "What value of x satisfies 6x - 34 = 2(x - 7)?", "solution_steps": ["Expand: 6x - 34 = 2x - 14", "Subtract 2x from both sides: 4x - 34 = -14", "Add 34 to both sides: 4x = 20", "Divide both sides by 4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 34 = 2(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 7, \"e\": -34, \"x\": 5}", "seed": "5340493482310719964", "semantic_fingerprint": "sha256:4c17cfc0ddc9121ac4380b40d380c6fe5278d1b3fe10cf925ddacacbcff6776f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001535", "prompt": "Evaluate: 1 * (-71 - (3 - (719 + 174)) - 33)", "solution_steps": ["Add: 719 + 174 = 893", "Subtract: 3 - 893 = -890", "Subtract: -71 - (-890) = 819", "Subtract: 819 - 33 = 786", "Multiply: 1 * 786 = 786"], "final_answer": "786", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-71 - (3 - (719 + 174)) - 33)", "variable": null, "family": "expression_5op", "shape": "(* n (- (- n (- n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -71, \"c\": 3, \"d\": 719, \"e\": 174, \"f\": 33}", "seed": "3828865280715455892", "semantic_fingerprint": "sha256:b32511106a39363e4e090549eb513c1f8d074e3c7d231f67c143b3bc72e622a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001536", "prompt": "Find x: -5x = -12(x + 5) + 39", "solution_steps": ["Expand: -5x = -12x - 60 + 39", "Combine constants: -5x = -12x - 21", "Add 12x to both sides: 7x = -21", "Divide both sides by 7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = -12(x + 5) + 39", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -12, \"c\": 5, \"e\": 39, \"x\": -3}", "seed": "3851325696480124535", "semantic_fingerprint": "sha256:4f0f279476e1a6fae1594b0bdcbc55ee02b037ebc67f24b2f2478040b0d3fb65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001537", "prompt": "What value of x satisfies 6x - 17 = 5(x - 7)?", "solution_steps": ["Expand: 6x - 17 = 5x - 35", "Subtract 5x from both sides: x - 17 = -35", "Add 17 to both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 17 = 5(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 7, \"e\": -17, \"x\": -18}", "seed": "4798185220504584534", "semantic_fingerprint": "sha256:4a17d664c492587becc91a1e949aea6ffdaff7323fe2cbb0516818d1107e2e6e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001538", "prompt": "Solve the equation 3(x + 54) + 162 = x + 302 for x.", "solution_steps": ["Expand: 3x + 162 + 162 = x + 302", "Combine constants: 3x + 324 = x + 302", "Subtract x from both sides: 2x + 324 = 302", "Subtract 324 from both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 54) + 162 = x + 302", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 54, \"c\": 162, \"e\": 302, \"x\": -11}", "seed": "59875812063450338", "semantic_fingerprint": "sha256:b92922b1b4fccb1ef22432cd3ce249e04fa8c1bb2e841fcff803a63236b3cdfd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001539", "prompt": "Evaluate: -80 * 11 + (-8) * 114", "solution_steps": ["Multiply: -80 * 11 = -880", "Multiply: -8 * 114 = -912", "Add: -880 + (-912) = -1792"], "final_answer": "-1792", "answer_type": "integer", "kind": "expression", "math_text": "-80 * 11 + (-8) * 114", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 11, \"c\": -8, \"d\": 114}", "seed": "15110386682559331366", "semantic_fingerprint": "sha256:f1f36fa70b184994af1ffac9fff1c0982f845b5107eac0e849f880ab67b1d7d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001540", "prompt": "Evaluate: 66 - 40 * (33 / (-46))", "solution_steps": ["Divide: 33 / (-46) = -33/46", "Multiply: 40 * (-33/46) = -660/23", "Subtract: 66 - (-660/23) = 2178/23"], "final_answer": "2178/23", "answer_type": "rational", "kind": "expression", "math_text": "66 - 40 * (33 / (-46))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 40, \"c\": 33, \"d\": -46}", "seed": "771614147306580715", "semantic_fingerprint": "sha256:303e2428e6f7cf75a3703e5bb6bfaab44a852f6f88eb5615ea34cec676a31a8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001541", "prompt": "Compute: (896 + 3) * 783 - (271 - (-37))", "solution_steps": ["Add: 896 + 3 = 899", "Multiply: 899 * 783 = 703917", "Subtract: 271 - (-37) = 308", "Subtract: 703917 - 308 = 703609"], "final_answer": "703609", "answer_type": "integer", "kind": "expression", "math_text": "(896 + 3) * 783 - (271 - (-37))", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 896, \"b\": 3, \"c\": 783, \"d\": 271, \"e\": -37}", "seed": "13954856824139547199", "semantic_fingerprint": "sha256:d264591a21369a69aaf4cc38e5ea5b4306556cead4c0fa8a9012bcff903b96c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001542", "prompt": "What is 1 / (-519) + (-9 - (-667 + (-9)))?", "solution_steps": ["Divide: 1 / (-519) = -1/519", "Add: -667 + (-9) = -676", "Subtract: -9 - (-676) = 667", "Add: -1/519 + 667 = 346172/519"], "final_answer": "346172/519", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-519) + (-9 - (-667 + (-9)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -519, \"c\": -9, \"d\": -667, \"e\": -9}", "seed": "15239960173272233533", "semantic_fingerprint": "sha256:66f5c77e75ac9b9bbeed95fed9113edad4047271c6ea44e008b10e582ddb6e0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001543", "prompt": "Solve the equation 9(x + 28) - 249 = x + 91 for x.", "solution_steps": ["Expand: 9x + 252 - 249 = x + 91", "Combine constants: 9x + 3 = x + 91", "Subtract x from both sides: 8x + 3 = 91", "Subtract 3 from both sides: 8x = 88", "Divide both sides by 8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 28) - 249 = x + 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 28, \"c\": 249, \"e\": 91, \"x\": 11}", "seed": "17996556854840397125", "semantic_fingerprint": "sha256:5d7ebcfc80ff795a8cdde5ba40985f5dcc7f9567b3c5c5e2e16e8d9e9c400b2b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001544", "prompt": "Solve for x: 6(x + 70) + 61 = x + 446", "solution_steps": ["Expand: 6x + 420 + 61 = x + 446", "Combine constants: 6x + 481 = x + 446", "Subtract x from both sides: 5x + 481 = 446", "Subtract 481 from both sides: 5x = -35", "Divide both sides by 5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 70) + 61 = x + 446", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 70, \"c\": 61, \"e\": 446, \"x\": -7}", "seed": "12776762004879913396", "semantic_fingerprint": "sha256:de14238c6acfc23d47a210b5b336fa98828a97132659a3234441146825726886", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001545", "prompt": "Solve the equation -7x = 11(x + 21) - 339 for x.", "solution_steps": ["Expand: -7x = 11x + 231 - 339", "Combine constants: -7x = 11x - 108", "Subtract 11x from both sides: -18x = -108", "Divide both sides by -18: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 11(x + 21) - 339", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 11, \"c\": 21, \"e\": -339, \"x\": 6}", "seed": "15329127392598105757", "semantic_fingerprint": "sha256:f1e27635e8398fff0d501f96acb92c4aa9c24ec80b4d6cf1499bd48053f1d06e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001546", "prompt": "Evaluate: 296 * 69 + (-3) * 18", "solution_steps": ["Multiply: 296 * 69 = 20424", "Multiply: -3 * 18 = -54", "Add: 20424 + (-54) = 20370"], "final_answer": "20370", "answer_type": "integer", "kind": "expression", "math_text": "296 * 69 + (-3) * 18", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 296, \"b\": 69, \"c\": -3, \"d\": 18}", "seed": "9807423984854901536", "semantic_fingerprint": "sha256:f128ed094dd8a01f8f2029fae17e34167d1df597feaeb91067c0d938a36e685c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001547", "prompt": "What value of x satisfies 8x - 154 = 12x - 114?", "solution_steps": ["Subtract 12x from both sides: -4x - 154 = -114", "Add 154 to both sides: -4x = 40", "Divide both sides by -4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 154 = 12x - 114", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 154, \"c\": 12, \"e\": -114, \"x\": -10}", "seed": "13326616931655081110", "semantic_fingerprint": "sha256:a9edfeb6331a90c28eac3a35f65758ba0fb475b90028fbc6f6dde04dc2498f4f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001548", "prompt": "What is -608 * 98 + (-183) * (-1)?", "solution_steps": ["Multiply: -608 * 98 = -59584", "Multiply: -183 * (-1) = 183", "Add: -59584 + 183 = -59401"], "final_answer": "-59401", "answer_type": "integer", "kind": "expression", "math_text": "-608 * 98 + (-183) * (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -608, \"b\": 98, \"c\": -183, \"d\": -1}", "seed": "2351632348013996724", "semantic_fingerprint": "sha256:4b175ec742424187fca2fab65584a6071f2bf558387e3285c923c4eb4c98341c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001549", "prompt": "Solve the equation 3(x + 66) + 667 = x + 853 for x.", "solution_steps": ["Expand: 3x + 198 + 667 = x + 853", "Combine constants: 3x + 865 = x + 853", "Subtract x from both sides: 2x + 865 = 853", "Subtract 865 from both sides: 2x = -12", "Divide both sides by 2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 66) + 667 = x + 853", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 66, \"c\": 667, \"e\": 853, \"x\": -6}", "seed": "4197003720366558796", "semantic_fingerprint": "sha256:fd9e82cefb22c42021fc274f5cb1e39d1f3a772c1b74df17a99dc66ef810a5db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001550", "prompt": "Compute: -10 / (186 - (-81) + (-84 + (-10)))", "solution_steps": ["Subtract: 186 - (-81) = 267", "Add: -84 + (-10) = -94", "Add: 267 + (-94) = 173", "Divide: -10 / 173 = -10/173"], "final_answer": "-10/173", "answer_type": "rational", "kind": "expression", "math_text": "-10 / (186 - (-81) + (-84 + (-10)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 186, \"c\": -81, \"d\": -84, \"e\": -10}", "seed": "3306565987207023969", "semantic_fingerprint": "sha256:efd0549087b4f72cd27f0e5343764c184d50028505ffbdc2853748a5349e11c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001551", "prompt": "What value of x satisfies 12(x + 218) = -8(x - 144) + 921?", "solution_steps": ["Expand: 12x + 2616 = -8(x - 144) + 921", "Expand: 12x + 2616 = -8x + 1152 + 921", "Combine constants: 12x + 2616 = -8x + 2073", "Add 8x to both sides: 20x + 2616 = 2073", "Subtract 2616 from both sides: 20x = -543", "Divide both sides by 20: x = -543/20"], "final_answer": "-543/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 218) = -8(x - 144) + 921", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 218, \"c\": -8, \"d\": 144, \"e\": 921}", "seed": "2778879358447596595", "semantic_fingerprint": "sha256:13481ed710387023e1ec5c2dbf08e05e5765a3d1f2c39cc83783f972cdc85c48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001552", "prompt": "Calculate: (77 + (-47)) / (-2 + 1)", "solution_steps": ["Add: 77 + (-47) = 30", "Add: -2 + 1 = -1", "Divide: 30 / (-1) = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "expression", "math_text": "(77 + (-47)) / (-2 + 1)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -47, \"c\": -2, \"d\": 1}", "seed": "2227110116510082901", "semantic_fingerprint": "sha256:01bc3887b32122ea77190ac2126d570482be519cfab203defc58ba6bd4bb18f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001553", "prompt": "Calculate: -86 / (-6 / 92) + 3", "solution_steps": ["Divide: -6 / 92 = -3/46", "Divide: -86 / (-3/46) = 3956/3", "Add: 3956/3 + 3 = 3965/3"], "final_answer": "3965/3", "answer_type": "rational", "kind": "expression", "math_text": "-86 / (-6 / 92) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -6, \"c\": 92, \"d\": 3}", "seed": "3115584294483885915", "semantic_fingerprint": "sha256:2473f6e40cadd38cbf22748fa64b4d9ab1f7758354df8fa2ff7d774bf7e75985", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001554", "prompt": "Calculate: -8 * ((5 - (-8)) / (-7) + (-728) / 1)", "solution_steps": ["Subtract: 5 - (-8) = 13", "Divide: 13 / (-7) = -13/7", "Divide: -728 / 1 = -728", "Add: -13/7 + (-728) = -5109/7", "Multiply: -8 * (-5109/7) = 40872/7"], "final_answer": "40872/7", "answer_type": "rational", "kind": "expression", "math_text": "-8 * ((5 - (-8)) / (-7) + (-728) / 1)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (/ (- n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5, \"c\": -8, \"d\": -7, \"e\": -728, \"f\": 1}", "seed": "5286554415730007458", "semantic_fingerprint": "sha256:bd2cf056fcd42a480a4f524c9bbf17e2f08315cbb91989fd6dbf2a20cac05a16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001555", "prompt": "What is 77 / 8 / 99 - 3?", "solution_steps": ["Divide: 77 / 8 = 77/8", "Divide: (77/8) / 99 = 7/72", "Subtract: 7/72 - 3 = -209/72"], "final_answer": "-209/72", "answer_type": "rational", "kind": "expression", "math_text": "77 / 8 / 99 - 3", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 8, \"c\": 99, \"d\": 3}", "seed": "7764021309547554235", "semantic_fingerprint": "sha256:327d5b4e9cb1b48b55087ec30cec52455f7770adb6a92c2e26ded798bd2de035", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001556", "prompt": "Evaluate: 733 - (-94 / 179 + 3 / (-7))", "solution_steps": ["Divide: -94 / 179 = -94/179", "Divide: 3 / (-7) = -3/7", "Add: -94/179 + (-3/7) = -1195/1253", "Subtract: 733 - (-1195/1253) = 919644/1253"], "final_answer": "919644/1253", "answer_type": "rational", "kind": "expression", "math_text": "733 - (-94 / 179 + 3 / (-7))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 733, \"b\": -94, \"c\": 179, \"d\": 3, \"e\": -7}", "seed": "6900168868721805101", "semantic_fingerprint": "sha256:ba10937d8826ce97b8af8a95ef758c35b4325fdc826b98069f145c534bb3bb7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001557", "prompt": "Compute: 53 / (-5 * (-86 + 79))", "solution_steps": ["Add: -86 + 79 = -7", "Multiply: -5 * (-7) = 35", "Divide: 53 / 35 = 53/35"], "final_answer": "53/35", "answer_type": "rational", "kind": "expression", "math_text": "53 / (-5 * (-86 + 79))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -5, \"c\": -86, \"d\": 79}", "seed": "14283996354321608467", "semantic_fingerprint": "sha256:3f35a069964fdd50d7c2344105e038c051bb3a7885f0dd043610b1d358947307", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001558", "prompt": "Solve the equation 11x = 7(x + 17) - 51 for x.", "solution_steps": ["Expand: 11x = 7x + 119 - 51", "Combine constants: 11x = 7x + 68", "Subtract 7x from both sides: 4x = 68", "Divide both sides by 4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 7(x + 17) - 51", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 17, \"e\": -51, \"x\": 17}", "seed": "16901649374516651293", "semantic_fingerprint": "sha256:552d268c7f1139a3de6d53d7baeb374ee527741c87433c5b010b8c922421e333", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001559", "prompt": "What value of x satisfies -11x - 655 = 5x - 735?", "solution_steps": ["Subtract 5x from both sides: -16x - 655 = -735", "Add 655 to both sides: -16x = -80", "Divide both sides by -16: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 655 = 5x - 735", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 655, \"c\": 5, \"e\": -735, \"x\": 5}", "seed": "16485687926260845720", "semantic_fingerprint": "sha256:90f12b41daf8acbde2b5b3c416a4482810d12ebe1e3eb79a019fed9a3fe88d1f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001560", "prompt": "What is 1 * (90 + 20) + (-59 + 161)?", "solution_steps": ["Add: 90 + 20 = 110", "Multiply: 1 * 110 = 110", "Add: -59 + 161 = 102", "Add: 110 + 102 = 212"], "final_answer": "212", "answer_type": "integer", "kind": "expression", "math_text": "1 * (90 + 20) + (-59 + 161)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 90, \"c\": 20, \"d\": -59, \"e\": 161}", "seed": "7264722404339683804", "semantic_fingerprint": "sha256:d6cba5b264fb67b69a479c5194106a738a0295ada1b3cd8cd9f17c5a90e1ce1a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001561", "prompt": "What is 38 / (-83 / (5 - (-40))) / 11?", "solution_steps": ["Subtract: 5 - (-40) = 45", "Divide: -83 / 45 = -83/45", "Divide: 38 / (-83/45) = -1710/83", "Divide: (-1710/83) / 11 = -1710/913"], "final_answer": "-1710/913", "answer_type": "rational", "kind": "expression", "math_text": "38 / (-83 / (5 - (-40))) / 11", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -83, \"c\": 5, \"d\": -40, \"e\": 11}", "seed": "15652480967598724778", "semantic_fingerprint": "sha256:2a53fe93fbfef4986365bef4b5a44ab4a3b0ef884b0afef7a3a82910111a0a99", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001562", "prompt": "Compute: (-386 + 39) / (-8 * 3 * 80)", "solution_steps": ["Add: -386 + 39 = -347", "Multiply: -8 * 3 = -24", "Multiply: -24 * 80 = -1920", "Divide: -347 / (-1920) = 347/1920"], "final_answer": "347/1920", "answer_type": "rational", "kind": "expression", "math_text": "(-386 + 39) / (-8 * 3 * 80)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -386, \"b\": 39, \"c\": -8, \"d\": 3, \"e\": 80}", "seed": "15336313918791801624", "semantic_fingerprint": "sha256:7f6dcb16fb45cc756afbd8c3f10a71d5f8cd6902b76fc38671e8287b5033b6db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001563", "prompt": "Solve for x: -6x = -4(x + 8) - 6", "solution_steps": ["Expand: -6x = -4x - 32 - 6", "Combine constants: -6x = -4x - 38", "Add 4x to both sides: -2x = -38", "Divide both sides by -2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = -4(x + 8) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -4, \"c\": 8, \"e\": -6, \"x\": 19}", "seed": "3382765831642878066", "semantic_fingerprint": "sha256:147bbc2f8c27b38e5416e9aa4b683fb7e89006119d616b9b9292f3d683972ed2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001564", "prompt": "Compute: (-558 - (728 + (-6))) * 70", "solution_steps": ["Add: 728 + (-6) = 722", "Subtract: -558 - 722 = -1280", "Multiply: -1280 * 70 = -89600"], "final_answer": "-89600", "answer_type": "integer", "kind": "expression", "math_text": "(-558 - (728 + (-6))) * 70", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -558, \"b\": 728, \"c\": -6, \"d\": 70}", "seed": "6829929701077617536", "semantic_fingerprint": "sha256:c6d649ec74459e82e420a7e3a2491b16992adf38bef339349fda9327707c54b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001565", "prompt": "What value of x satisfies 9x - 220 = 12x - 217?", "solution_steps": ["Subtract 12x from both sides: -3x - 220 = -217", "Add 220 to both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 220 = 12x - 217", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 220, \"c\": 12, \"e\": -217, \"x\": -1}", "seed": "7433170408339468207", "semantic_fingerprint": "sha256:9fed21457d5af75e8c39ce1a7dc78d5108c0814555f741971274ea92728b4313", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001566", "prompt": "Solve the equation 9x = -5(x + 18) + 3 for x.", "solution_steps": ["Expand: 9x = -5x - 90 + 3", "Combine constants: 9x = -5x - 87", "Add 5x to both sides: 14x = -87", "Divide both sides by 14: x = -87/14"], "final_answer": "-87/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = -5(x + 18) + 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 18, \"d\": 3}", "seed": "5105336742290197676", "semantic_fingerprint": "sha256:c0231e1f9ddb6ec8a1db4fe392df51fdd08ba08dfce68217aa4b1ca444057555", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001567", "prompt": "Calculate: 411 * (-6) * (-9 / 251)", "solution_steps": ["Multiply: 411 * (-6) = -2466", "Divide: -9 / 251 = -9/251", "Multiply: -2466 * (-9/251) = 22194/251"], "final_answer": "22194/251", "answer_type": "rational", "kind": "expression", "math_text": "411 * (-6) * (-9 / 251)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 411, \"b\": -6, \"c\": -9, \"d\": 251}", "seed": "11033089227141351622", "semantic_fingerprint": "sha256:3ed551f186b98d6c95c9f2c1ba81d274999191f528e0f84dfa48df2b0662b35f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001568", "prompt": "Compute: -98 * ((9 - (-4)) * 727 + 8 / (-7))", "solution_steps": ["Subtract: 9 - (-4) = 13", "Multiply: 13 * 727 = 9451", "Divide: 8 / (-7) = -8/7", "Add: 9451 + (-8/7) = 66149/7", "Multiply: -98 * (66149/7) = -926086"], "final_answer": "-926086", "answer_type": "integer", "kind": "expression", "math_text": "-98 * ((9 - (-4)) * 727 + 8 / (-7))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (* (- n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 9, \"c\": -4, \"d\": 727, \"e\": 8, \"f\": -7}", "seed": "15718327903227715290", "semantic_fingerprint": "sha256:9f1e849fa2b90798456df111666541e1ab79191082a93124635a11bd53182a35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001569", "prompt": "Solve for x: 4x - 16 = 6(x - 3)", "solution_steps": ["Expand: 4x - 16 = 6x - 18", "Subtract 6x from both sides: -2x - 16 = -18", "Add 16 to both sides: -2x = -2", "Divide both sides by -2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 16 = 6(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 3, \"e\": -16, \"x\": 1}", "seed": "10958506043399627028", "semantic_fingerprint": "sha256:2dc6bf2180949af6c0a41fd577c5c5ae784e7f9d0ab81402b2ce23b6e90f8d85", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001570", "prompt": "What is (12 - (-438 + (-87))) * (-506)?", "solution_steps": ["Add: -438 + (-87) = -525", "Subtract: 12 - (-525) = 537", "Multiply: 537 * (-506) = -271722"], "final_answer": "-271722", "answer_type": "integer", "kind": "expression", "math_text": "(12 - (-438 + (-87))) * (-506)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -438, \"c\": -87, \"d\": -506}", "seed": "9093866930114793606", "semantic_fingerprint": "sha256:5a67e55b5cc2450169b95fd14935555569260a856599cde43f01888291ab7899", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001571", "prompt": "What is -77 + (598 / (-18) - (19 - 6))?", "solution_steps": ["Divide: 598 / (-18) = -299/9", "Subtract: 19 - 6 = 13", "Subtract: -299/9 - 13 = -416/9", "Add: -77 + (-416/9) = -1109/9"], "final_answer": "-1109/9", "answer_type": "rational", "kind": "expression", "math_text": "-77 + (598 / (-18) - (19 - 6))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 598, \"c\": -18, \"d\": 19, \"e\": 6}", "seed": "8407390740788004996", "semantic_fingerprint": "sha256:d0ed15d2bfed36d70746dd438ab473017867843e7c0920ec3a7eae53083f4765", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001572", "prompt": "Evaluate: -3 - (7 + (285 + 57)) / 921", "solution_steps": ["Add: 285 + 57 = 342", "Add: 7 + 342 = 349", "Divide: 349 / 921 = 349/921", "Subtract: -3 - 349/921 = -3112/921"], "final_answer": "-3112/921", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (7 + (285 + 57)) / 921", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 285, \"d\": 57, \"e\": 921}", "seed": "6647715153390756343", "semantic_fingerprint": "sha256:6ddb96b22f9abb465c4fbc79c5af5a1432c7eafb561c11f88d3b5cca79b705ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001573", "prompt": "Evaluate: 40 - (268 + (50 + (-13) * 48))", "solution_steps": ["Multiply: -13 * 48 = -624", "Add: 50 + (-624) = -574", "Add: 268 + (-574) = -306", "Subtract: 40 - (-306) = 346"], "final_answer": "346", "answer_type": "integer", "kind": "expression", "math_text": "40 - (268 + (50 + (-13) * 48))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 268, \"c\": 50, \"d\": -13, \"e\": 48}", "seed": "4116725568620189024", "semantic_fingerprint": "sha256:fc7beef670f6d3dd10105f472c2c3e5fefc20bc5df7d3d34cfbc46924fbd00ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001574", "prompt": "Solve for x: 6(x + 502) - 205 = x + 97", "solution_steps": ["Expand: 6x + 3012 - 205 = x + 97", "Combine constants: 6x + 2807 = x + 97", "Subtract x from both sides: 5x + 2807 = 97", "Subtract 2807 from both sides: 5x = -2710", "Divide both sides by 5: x = -542"], "final_answer": "-542", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 502) - 205 = x + 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 502, \"c\": 205, \"d\": 97}", "seed": "12594159920261164510", "semantic_fingerprint": "sha256:646f35c42ef7ecb47e548f7accaf0dd3f37f14a9acd4aaa643794c064dd2922f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001575", "prompt": "Solve the equation 4(x + 34) + 200 = x + 1 for x.", "solution_steps": ["Expand: 4x + 136 + 200 = x + 1", "Combine constants: 4x + 336 = x + 1", "Subtract x from both sides: 3x + 336 = 1", "Subtract 336 from both sides: 3x = -335", "Divide both sides by 3: x = -335/3"], "final_answer": "-335/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 34) + 200 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 34, \"c\": 200, \"d\": 1}", "seed": "11369357315293110198", "semantic_fingerprint": "sha256:cc509723278d8bb5594750f7176bfa051ff0411e04cdda5598c4e89c9a387b9d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001576", "prompt": "Solve for x: -10x - 12 = -9x - 7", "solution_steps": ["Add 9x to both sides: -x - 12 = -7", "Add 12 to both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 12 = -9x - 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 12, \"c\": -9, \"e\": -7, \"x\": -5}", "seed": "6205290154643733792", "semantic_fingerprint": "sha256:432f63479614818225c9264c6566cc8c5149408e38be2a096d4d41192f79572b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001577", "prompt": "Solve for x: -4(x + 6) = 6(x - 6) + 9", "solution_steps": ["Expand: -4x - 24 = 6(x - 6) + 9", "Expand: -4x - 24 = 6x - 36 + 9", "Combine constants: -4x - 24 = 6x - 27", "Subtract 6x from both sides: -10x - 24 = -27", "Add 24 to both sides: -10x = -3", "Divide both sides by -10: x = 3/10"], "final_answer": "3/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 6) = 6(x - 6) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 6, \"d\": 6, \"e\": 9}", "seed": "1684644483596107295", "semantic_fingerprint": "sha256:6f32792e812b2bec81a9712e4dcb0b43ddf9f43e6477e224d130794ccef5d23f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001578", "prompt": "Compute: -69 * (-2) * (8 / (-503))", "solution_steps": ["Multiply: -69 * (-2) = 138", "Divide: 8 / (-503) = -8/503", "Multiply: 138 * (-8/503) = -1104/503"], "final_answer": "-1104/503", "answer_type": "rational", "kind": "expression", "math_text": "-69 * (-2) * (8 / (-503))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -2, \"c\": 8, \"d\": -503}", "seed": "7536651475230517653", "semantic_fingerprint": "sha256:9f4827b9f8bf9c2f682dc96b179af2b76b9ca30c4317b1ed9292c03c2b545aad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001579", "prompt": "Find x: 11(x - 13) + 216 = 10(x + 6)", "solution_steps": ["Expand: 11x - 143 + 216 = 10(x + 6)", "Expand: 11x - 143 + 216 = 10x + 60", "Combine constants: 11x + 73 = 10x + 60", "Subtract 10x from both sides: x + 73 = 60", "Subtract 73 from both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 13) + 216 = 10(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 13, \"c\": 10, \"d\": 6, \"f\": 216, \"x\": -13}", "seed": "3500462932278169340", "semantic_fingerprint": "sha256:9b5ce758676c8b55ffae118cd1d563754125fda73e1cc2687c563e254f6cdfbe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001580", "prompt": "What value of x satisfies 7(x + 49) + 3 = x + 442?", "solution_steps": ["Expand: 7x + 343 + 3 = x + 442", "Combine constants: 7x + 346 = x + 442", "Subtract x from both sides: 6x + 346 = 442", "Subtract 346 from both sides: 6x = 96", "Divide both sides by 6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 49) + 3 = x + 442", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 49, \"c\": 3, \"e\": 442, \"x\": 16}", "seed": "11331648351977269279", "semantic_fingerprint": "sha256:45fdce246504027a43ba68a28f73e44f0942f2c9025e584f76a6bedc913437ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001581", "prompt": "Solve the equation 5(x + 85) + 72 = x + 809 for x.", "solution_steps": ["Expand: 5x + 425 + 72 = x + 809", "Combine constants: 5x + 497 = x + 809", "Subtract x from both sides: 4x + 497 = 809", "Subtract 497 from both sides: 4x = 312", "Divide both sides by 4: x = 78"], "final_answer": "78", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 85) + 72 = x + 809", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 85, \"c\": 72, \"d\": 809}", "seed": "17701199708758763069", "semantic_fingerprint": "sha256:116a28933d51a876a2009b51790bab2835aed8f8dade2e7a3af9830ace6a87e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001582", "prompt": "Compute: -8 * (-432) * (86 / (-2))", "solution_steps": ["Multiply: -8 * (-432) = 3456", "Divide: 86 / (-2) = -43", "Multiply: 3456 * (-43) = -148608"], "final_answer": "-148608", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-432) * (86 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -432, \"c\": 86, \"d\": -2}", "seed": "9845754948399336020", "semantic_fingerprint": "sha256:bc395cadbe624e5da599f6fb1e493f157bc382c94fb567d53e1b19e07e051530", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001583", "prompt": "Compute: -70 * (31 - (96 + (8 + 54)) + 78)", "solution_steps": ["Add: 8 + 54 = 62", "Add: 96 + 62 = 158", "Subtract: 31 - 158 = -127", "Add: -127 + 78 = -49", "Multiply: -70 * (-49) = 3430"], "final_answer": "3430", "answer_type": "integer", "kind": "expression", "math_text": "-70 * (31 - (96 + (8 + 54)) + 78)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- n (+ n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 31, \"c\": 96, \"d\": 8, \"e\": 54, \"f\": 78}", "seed": "6807888883708663463", "semantic_fingerprint": "sha256:3cffc4e239570b351f425e3bfb2f5ea6817d324443f7b1c4055e63340f4a8e49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001584", "prompt": "Solve for x: -3(x + 11) + 9 = x + 24", "solution_steps": ["Expand: -3x - 33 + 9 = x + 24", "Combine constants: -3x - 24 = x + 24", "Subtract x from both sides: -4x - 24 = 24", "Add 24 to both sides: -4x = 48", "Divide both sides by -4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 11) + 9 = x + 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 11, \"c\": 9, \"e\": 24, \"x\": -12}", "seed": "16787825242820382478", "semantic_fingerprint": "sha256:99323b04900ca2ef97ae886ae4c48be5c838407c6eaa526b49c46526af589b54", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001585", "prompt": "What is 5 - (-67 - (-17)) - (-9 + 242)?", "solution_steps": ["Subtract: -67 - (-17) = -50", "Subtract: 5 - (-50) = 55", "Add: -9 + 242 = 233", "Subtract: 55 - 233 = -178"], "final_answer": "-178", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-67 - (-17)) - (-9 + 242)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -67, \"c\": -17, \"d\": -9, \"e\": 242}", "seed": "15836040928771485637", "semantic_fingerprint": "sha256:b99968be42812ea652b0086c4716dab9e0724bcf34a4befbb8e41b25edfd0419", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001586", "prompt": "Find x: 3x - 447 = -4x - 99", "solution_steps": ["Add 4x to both sides: 7x - 447 = -99", "Add 447 to both sides: 7x = 348", "Divide both sides by 7: x = 348/7"], "final_answer": "348/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 447 = -4x - 99", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 447, \"c\": -4, \"d\": 99}", "seed": "13562339922730688251", "semantic_fingerprint": "sha256:2d2e92a50f88dd3c0286bce2fbf770e7c21f18fd45cd128bd5b3087f46f330c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001587", "prompt": "Find x: 2x - 122 = 10(x - 5)", "solution_steps": ["Expand: 2x - 122 = 10x - 50", "Subtract 10x from both sides: -8x - 122 = -50", "Add 122 to both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 122 = 10(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 5, \"e\": -122, \"x\": -9}", "seed": "13630863674794786580", "semantic_fingerprint": "sha256:f49fb9854b9ebe1d8cdb73ebea1cb385cd6e3f261c4859e00198f6801cf2c1f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001588", "prompt": "Compute: 95 - (-709 * (60 - (-78)) - (-3)) + 0", "solution_steps": ["Subtract: 60 - (-78) = 138", "Multiply: -709 * 138 = -97842", "Subtract: -97842 - (-3) = -97839", "Subtract: 95 - (-97839) = 97934", "Add: 97934 + 0 = 97934"], "final_answer": "97934", "answer_type": "integer", "kind": "expression", "math_text": "95 - (-709 * (60 - (-78)) - (-3)) + 0", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- (* n (- n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -709, \"c\": 60, \"d\": -78, \"e\": -3, \"f\": 0}", "seed": "218297048865898105", "semantic_fingerprint": "sha256:aa90d8f9cc7eb2ee1d44195233fdd39d849560672d7ff715507ef8ee3ed14b38", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001589", "prompt": "Calculate: (-3 - (-794)) / 437 * (-3 + (9 + 2))", "solution_steps": ["Subtract: -3 - (-794) = 791", "Divide: 791 / 437 = 791/437", "Add: 9 + 2 = 11", "Add: -3 + 11 = 8", "Multiply: (791/437) * 8 = 6328/437"], "final_answer": "6328/437", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - (-794)) / 437 * (-3 + (9 + 2))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -794, \"c\": 437, \"d\": -3, \"e\": 9, \"f\": 2}", "seed": "17433748395274299956", "semantic_fingerprint": "sha256:c5d0bc19e2a2cb27dc0d34d9f1b3859e8b1fda94b7c3505d3a025612eed9ccde", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001590", "prompt": "Calculate: 8 / 16 - (2 + (-4) / 8)", "solution_steps": ["Divide: 8 / 16 = 1/2", "Divide: -4 / 8 = -1/2", "Add: 2 + (-1/2) = 3/2", "Subtract: 1/2 - 3/2 = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "8 / 16 - (2 + (-4) / 8)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 16, \"c\": 2, \"d\": -4, \"e\": 8}", "seed": "14065713002153067169", "semantic_fingerprint": "sha256:6c2b4ddfe3016cc374fe1622558238609693b7ce6fa4abf27c573f1844f4d0df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001591", "prompt": "Solve the equation 8(x + 7) = 5(x - 50) + 267 for x.", "solution_steps": ["Expand: 8x + 56 = 5(x - 50) + 267", "Expand: 8x + 56 = 5x - 250 + 267", "Combine constants: 8x + 56 = 5x + 17", "Subtract 5x from both sides: 3x + 56 = 17", "Subtract 56 from both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 7) = 5(x - 50) + 267", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 5, \"d\": 50, \"f\": 267, \"x\": -13}", "seed": "7610852431312323331", "semantic_fingerprint": "sha256:14bb1b1180090f892ccdb45e5f178b0def82a67e55a910824c6d9143673f49a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001592", "prompt": "Compute: -53 - 4 * 94 + (-5) * 221", "solution_steps": ["Multiply: 4 * 94 = 376", "Subtract: -53 - 376 = -429", "Multiply: -5 * 221 = -1105", "Add: -429 + (-1105) = -1534"], "final_answer": "-1534", "answer_type": "integer", "kind": "expression", "math_text": "-53 - 4 * 94 + (-5) * 221", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 4, \"c\": 94, \"d\": -5, \"e\": 221}", "seed": "9730870179874093612", "semantic_fingerprint": "sha256:696abc279a3ebe0648500d2f03c2be228486420ce86a1eb4144b7b3bc7cb810f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001593", "prompt": "What is 80 * (0 + (-19) * 109)?", "solution_steps": ["Multiply: -19 * 109 = -2071", "Add: 0 + (-2071) = -2071", "Multiply: 80 * (-2071) = -165680"], "final_answer": "-165680", "answer_type": "integer", "kind": "expression", "math_text": "80 * (0 + (-19) * 109)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 0, \"c\": -19, \"d\": 109}", "seed": "17389551994206321683", "semantic_fingerprint": "sha256:997c66cafb570bda906a871ba043fd24083f2a3194488a0a4308af11ad19f3ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001594", "prompt": "Find x: -2x - 131 = 10x - 323", "solution_steps": ["Subtract 10x from both sides: -12x - 131 = -323", "Add 131 to both sides: -12x = -192", "Divide both sides by -12: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 131 = 10x - 323", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 131, \"c\": 10, \"e\": -323, \"x\": 16}", "seed": "11424144038809150729", "semantic_fingerprint": "sha256:2c0e8445c54882689455017640112f5fce49cf02673ba6db8093b14d10ecf3b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001595", "prompt": "Calculate: 3 * (-94) * (586 / 60)", "solution_steps": ["Multiply: 3 * (-94) = -282", "Divide: 586 / 60 = 293/30", "Multiply: -282 * (293/30) = -13771/5"], "final_answer": "-13771/5", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-94) * (586 / 60)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -94, \"c\": 586, \"d\": 60}", "seed": "17374462277183337642", "semantic_fingerprint": "sha256:1ff397a3aba0cdc6708f08707d2692b6fec4d0ec00961e2452c72790fc54147b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001596", "prompt": "Calculate: (-29 + 823) / (-6 + 7)", "solution_steps": ["Add: -29 + 823 = 794", "Add: -6 + 7 = 1", "Divide: 794 / 1 = 794"], "final_answer": "794", "answer_type": "integer", "kind": "expression", "math_text": "(-29 + 823) / (-6 + 7)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 823, \"c\": -6, \"d\": 7}", "seed": "12627344677361624829", "semantic_fingerprint": "sha256:6be8fee7de5f5f54b71890cdf1325a250eeeb66a015b52f70e9c5395ee245570", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001597", "prompt": "Calculate: 35 * (-99) / (63 + (83 + 48))", "solution_steps": ["Multiply: 35 * (-99) = -3465", "Add: 83 + 48 = 131", "Add: 63 + 131 = 194", "Divide: -3465 / 194 = -3465/194"], "final_answer": "-3465/194", "answer_type": "rational", "kind": "expression", "math_text": "35 * (-99) / (63 + (83 + 48))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -99, \"c\": 63, \"d\": 83, \"e\": 48}", "seed": "1730430420609979789", "semantic_fingerprint": "sha256:4650e285ddfe0d32ad63f73b4fdf11a69db4f3527d9e78a9bccdddf50aad61d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001598", "prompt": "Find x: 3(x + 2) - 685 = x + 3", "solution_steps": ["Expand: 3x + 6 - 685 = x + 3", "Combine constants: 3x - 679 = x + 3", "Subtract x from both sides: 2x - 679 = 3", "Add 679 to both sides: 2x = 682", "Divide both sides by 2: x = 341"], "final_answer": "341", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 2) - 685 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 685, \"d\": 3}", "seed": "3723706768743337393", "semantic_fingerprint": "sha256:843628d1c66b23c8d8971337a6e2da80a7a22e1a2318d4db4b74ccd2b1053df5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001599", "prompt": "Find x: 12(x + 9) = -7(x - 40) + 8", "solution_steps": ["Expand: 12x + 108 = -7(x - 40) + 8", "Expand: 12x + 108 = -7x + 280 + 8", "Combine constants: 12x + 108 = -7x + 288", "Add 7x to both sides: 19x + 108 = 288", "Subtract 108 from both sides: 19x = 180", "Divide both sides by 19: x = 180/19"], "final_answer": "180/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 9) = -7(x - 40) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": -7, \"d\": 40, \"e\": 8}", "seed": "13780645829714296966", "semantic_fingerprint": "sha256:2bd189995a2799605da215dd0300da378b895b313ffe31b01becbec139ed928e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001600", "prompt": "What is 176 + 0 / (-4 + (-30) + 50)?", "solution_steps": ["Add: -4 + (-30) = -34", "Add: -34 + 50 = 16", "Divide: 0 / 16 = 0", "Add: 176 + 0 = 176"], "final_answer": "176", "answer_type": "integer", "kind": "expression", "math_text": "176 + 0 / (-4 + (-30) + 50)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 176, \"b\": 0, \"c\": -4, \"d\": -30, \"e\": 50}", "seed": "11323524635938472063", "semantic_fingerprint": "sha256:92db3f0a84b351dbeea44dd555e9e5dd4d6701aca9ee9699fc9ba0c2677af26c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001601", "prompt": "Solve for x: -4(x - 7) + 250 = 5(x + 43)", "solution_steps": ["Expand: -4x + 28 + 250 = 5(x + 43)", "Expand: -4x + 28 + 250 = 5x + 215", "Combine constants: -4x + 278 = 5x + 215", "Subtract 5x from both sides: -9x + 278 = 215", "Subtract 278 from both sides: -9x = -63", "Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 7) + 250 = 5(x + 43)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 5, \"d\": 43, \"f\": 250, \"x\": 7}", "seed": "4516830093767538409", "semantic_fingerprint": "sha256:af46dc0838a7fe3aa98fc360fc1f04675033ea75d2545b992d8f56a99f536ed3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001602", "prompt": "What is 7 * 35 + 35 + 551?", "solution_steps": ["Multiply: 7 * 35 = 245", "Add: 245 + 35 = 280", "Add: 280 + 551 = 831"], "final_answer": "831", "answer_type": "integer", "kind": "expression", "math_text": "7 * 35 + 35 + 551", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 35, \"c\": 35, \"d\": 551}", "seed": "16925929999203222722", "semantic_fingerprint": "sha256:483a602ce117a495fca35fa9acee49e32a92d31c902719b63b4d4f499fbe52dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001603", "prompt": "Evaluate: -78 * (821 + (-66) * (-158))", "solution_steps": ["Multiply: -66 * (-158) = 10428", "Add: 821 + 10428 = 11249", "Multiply: -78 * 11249 = -877422"], "final_answer": "-877422", "answer_type": "integer", "kind": "expression", "math_text": "-78 * (821 + (-66) * (-158))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 821, \"c\": -66, \"d\": -158}", "seed": "8945946298947445365", "semantic_fingerprint": "sha256:41fa3610fba2ae1d56fb0383c8c53a59eaecdecee31ccd286d15ac45f4fc209d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001604", "prompt": "Find x: -6(x - 4) - 717 = x + 60", "solution_steps": ["Expand: -6x + 24 - 717 = x + 60", "Combine constants: -6x - 693 = x + 60", "Subtract x from both sides: -7x - 693 = 60", "Add 693 to both sides: -7x = 753", "Divide both sides by -7: x = -753/7"], "final_answer": "-753/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 4) - 717 = x + 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 717, \"d\": 60}", "seed": "4376880166405475048", "semantic_fingerprint": "sha256:003262b265360ee9f6c933728b07317c33f7e8ce234c2718a174caa7a63878d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001605", "prompt": "Solve the equation 12x = 11(x + 80) - 8 for x.", "solution_steps": ["Expand: 12x = 11x + 880 - 8", "Combine constants: 12x = 11x + 872", "Subtract 11x from both sides: x = 872"], "final_answer": "872", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 11(x + 80) - 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 11, \"c\": 80, \"d\": 8}", "seed": "18146029869962939769", "semantic_fingerprint": "sha256:17a0e69e7655ac714b41ffcb59ed8d7406fc291afb1ff93fea6d8cc2b6ff61eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001606", "prompt": "Evaluate: 5 + (-54 - (-35 + 871 * (-896)))", "solution_steps": ["Multiply: 871 * (-896) = -780416", "Add: -35 + (-780416) = -780451", "Subtract: -54 - (-780451) = 780397", "Add: 5 + 780397 = 780402"], "final_answer": "780402", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-54 - (-35 + 871 * (-896)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -54, \"c\": -35, \"d\": 871, \"e\": -896}", "seed": "10033266487205954742", "semantic_fingerprint": "sha256:60dfea60ea280a65bf8f4d6a84c60ef9b376e847158d186c65b3cd2f51df1e90", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001607", "prompt": "What value of x satisfies 4(x + 1) + 9 = x + 78?", "solution_steps": ["Expand: 4x + 4 + 9 = x + 78", "Combine constants: 4x + 13 = x + 78", "Subtract x from both sides: 3x + 13 = 78", "Subtract 13 from both sides: 3x = 65", "Divide both sides by 3: x = 65/3"], "final_answer": "65/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 1) + 9 = x + 78", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 9, \"d\": 78}", "seed": "8836355234376462072", "semantic_fingerprint": "sha256:fa275b2ee9dabd8cf91e86dfc9fe307a347a4db0c50e0c158341183e16679363", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001608", "prompt": "What is (-128 - (-58)) / 252 * (776 + (46 + (-92)))?", "solution_steps": ["Subtract: -128 - (-58) = -70", "Divide: -70 / 252 = -5/18", "Add: 46 + (-92) = -46", "Add: 776 + (-46) = 730", "Multiply: (-5/18) * 730 = -1825/9"], "final_answer": "-1825/9", "answer_type": "rational", "kind": "expression", "math_text": "(-128 - (-58)) / 252 * (776 + (46 + (-92)))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -128, \"b\": -58, \"c\": 252, \"d\": 776, \"e\": 46, \"f\": -92}", "seed": "9940129935466127767", "semantic_fingerprint": "sha256:2fd44bb33c811034b79c992ccb11bc65cff1924e6d0f1fbb064f82da908c0521", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001609", "prompt": "Evaluate: (144 / (1 - (-16)) - (-2) - 4) * (-845)", "solution_steps": ["Subtract: 1 - (-16) = 17", "Divide: 144 / 17 = 144/17", "Subtract: 144/17 - (-2) = 178/17", "Subtract: 178/17 - 4 = 110/17", "Multiply: (110/17) * (-845) = -92950/17"], "final_answer": "-92950/17", "answer_type": "rational", "kind": "expression", "math_text": "(144 / (1 - (-16)) - (-2) - 4) * (-845)", "variable": null, "family": "expression_5op", "shape": "(* (- (- (/ n (- n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 144, \"b\": 1, \"c\": -16, \"d\": -2, \"e\": 4, \"f\": -845}", "seed": "14346226498519658798", "semantic_fingerprint": "sha256:709cde5a12ebe1489214ce1fe97a33096dcc01e3ba20051b712b5fc9401ba18c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001610", "prompt": "Solve the equation 9(x + 5) + 5 = x + 146 for x.", "solution_steps": ["Expand: 9x + 45 + 5 = x + 146", "Combine constants: 9x + 50 = x + 146", "Subtract x from both sides: 8x + 50 = 146", "Subtract 50 from both sides: 8x = 96", "Divide both sides by 8: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) + 5 = x + 146", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 5, \"e\": 146, \"x\": 12}", "seed": "15233299109783155492", "semantic_fingerprint": "sha256:1a9ffc9e74a8af72645097d087139461a87d16bf95fc59f9bc26d5e946b70f4f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001611", "prompt": "Solve for x: -8(x - 99) - 2 = x + 799", "solution_steps": ["Expand: -8x + 792 - 2 = x + 799", "Combine constants: -8x + 790 = x + 799", "Subtract x from both sides: -9x + 790 = 799", "Subtract 790 from both sides: -9x = 9", "Divide both sides by -9: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 99) - 2 = x + 799", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 99, \"c\": 2, \"e\": 799, \"x\": -1}", "seed": "17281812258473160162", "semantic_fingerprint": "sha256:910da286f1f93030320043d7fe9b4a341ce4ba2b3a227d16d4b729a21fe6f5b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001612", "prompt": "Solve the equation 11(x - 9) + 232 = 2(x + 8) for x.", "solution_steps": ["Expand: 11x - 99 + 232 = 2(x + 8)", "Expand: 11x - 99 + 232 = 2x + 16", "Combine constants: 11x + 133 = 2x + 16", "Subtract 2x from both sides: 9x + 133 = 16", "Subtract 133 from both sides: 9x = -117", "Divide both sides by 9: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 9) + 232 = 2(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 2, \"d\": 8, \"f\": 232, \"x\": -13}", "seed": "1034648072493256499", "semantic_fingerprint": "sha256:becf09e1970cc44381411b8f0dea6fb6967b66437c153559606b867195cd2304", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001613", "prompt": "What is 1 * 58 + (-971) * (-244)?", "solution_steps": ["Multiply: 1 * 58 = 58", "Multiply: -971 * (-244) = 236924", "Add: 58 + 236924 = 236982"], "final_answer": "236982", "answer_type": "integer", "kind": "expression", "math_text": "1 * 58 + (-971) * (-244)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 58, \"c\": -971, \"d\": -244}", "seed": "17132124201103484600", "semantic_fingerprint": "sha256:c9ebbe54d3043eebc3de5366cb210f7d832571cd76ed6c3e881c84aaa797c7fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001614", "prompt": "Find x: 2x - 94 = 4x - 58", "solution_steps": ["Subtract 4x from both sides: -2x - 94 = -58", "Add 94 to both sides: -2x = 36", "Divide both sides by -2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 94 = 4x - 58", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 94, \"c\": 4, \"e\": -58, \"x\": -18}", "seed": "3769228932885371656", "semantic_fingerprint": "sha256:e2a56717f7b54beaf8469e2d65ab7f92620aed79f7fe25cdec41917f4a32c508", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001615", "prompt": "Compute: -78 - 96 - 63 - (-4 - 4) * (-23)", "solution_steps": ["Subtract: -78 - 96 = -174", "Subtract: -174 - 63 = -237", "Subtract: -4 - 4 = -8", "Multiply: -8 * (-23) = 184", "Subtract: -237 - 184 = -421"], "final_answer": "-421", "answer_type": "integer", "kind": "expression", "math_text": "-78 - 96 - 63 - (-4 - 4) * (-23)", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 96, \"c\": 63, \"d\": -4, \"e\": 4, \"f\": -23}", "seed": "15579823621792684053", "semantic_fingerprint": "sha256:c2cf767ef8dad26f2e407befdcee36e470c095a775b9454fce352ac58c3f893a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001616", "prompt": "What is (40 - (-99 - (-31))) / (-5) + 576?", "solution_steps": ["Subtract: -99 - (-31) = -68", "Subtract: 40 - (-68) = 108", "Divide: 108 / (-5) = -108/5", "Add: -108/5 + 576 = 2772/5"], "final_answer": "2772/5", "answer_type": "rational", "kind": "expression", "math_text": "(40 - (-99 - (-31))) / (-5) + 576", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -99, \"c\": -31, \"d\": -5, \"e\": 576}", "seed": "18179304931507007385", "semantic_fingerprint": "sha256:c27cd53c215d81191c607b41142b3e642e3168822bde0f2b529c288649ea5e12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001617", "prompt": "Compute: -2 / (784 / (-99)) + 7", "solution_steps": ["Divide: 784 / (-99) = -784/99", "Divide: -2 / (-784/99) = 99/392", "Add: 99/392 + 7 = 2843/392"], "final_answer": "2843/392", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (784 / (-99)) + 7", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 784, \"c\": -99, \"d\": 7}", "seed": "1168579261131096850", "semantic_fingerprint": "sha256:89b1ac3d85279e65a1d3a2a300701aa780799084a90879f74ae8e65c2a847dcf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001618", "prompt": "Solve the equation 5x - 765 = 11(x - 75) for x.", "solution_steps": ["Expand: 5x - 765 = 11x - 825", "Subtract 11x from both sides: -6x - 765 = -825", "Add 765 to both sides: -6x = -60", "Divide both sides by -6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 765 = 11(x - 75)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"c\": 75, \"e\": -765, \"x\": 10}", "seed": "634975026367566790", "semantic_fingerprint": "sha256:3260a632e463972856e15792bd3eb164dbfae76cb16c8397b3d29fab1616aceb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001619", "prompt": "Calculate: -50 / 47 * (-753) - (-104 + 40)", "solution_steps": ["Divide: -50 / 47 = -50/47", "Multiply: (-50/47) * (-753) = 37650/47", "Add: -104 + 40 = -64", "Subtract: 37650/47 - (-64) = 40658/47"], "final_answer": "40658/47", "answer_type": "rational", "kind": "expression", "math_text": "-50 / 47 * (-753) - (-104 + 40)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 47, \"c\": -753, \"d\": -104, \"e\": 40}", "seed": "8484907202183270285", "semantic_fingerprint": "sha256:f7be82cf30662100d2da6fec6f04b4648e0c1ead15f313575c54b8323eb8d566", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001620", "prompt": "Evaluate: 74 * (-927) + (-7) + 40 / (-4)", "solution_steps": ["Multiply: 74 * (-927) = -68598", "Add: -68598 + (-7) = -68605", "Divide: 40 / (-4) = -10", "Add: -68605 + (-10) = -68615"], "final_answer": "-68615", "answer_type": "integer", "kind": "expression", "math_text": "74 * (-927) + (-7) + 40 / (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -927, \"c\": -7, \"d\": 40, \"e\": -4}", "seed": "6380492744440061135", "semantic_fingerprint": "sha256:2f251669779a5bff19eef6aff38000d5045a51ebea82bd20cd8528fb747207b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001621", "prompt": "Evaluate: -80 * 14 * (-51 / 7)", "solution_steps": ["Multiply: -80 * 14 = -1120", "Divide: -51 / 7 = -51/7", "Multiply: -1120 * (-51/7) = 8160"], "final_answer": "8160", "answer_type": "integer", "kind": "expression", "math_text": "-80 * 14 * (-51 / 7)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 14, \"c\": -51, \"d\": 7}", "seed": "9542631606047280668", "semantic_fingerprint": "sha256:9686417a840d73a31d6745b3bab9c8139a9b42a96d8e0f346ff8b7f3a6e71903", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001622", "prompt": "Solve for x: -9(x + 493) + 88 = x + 3", "solution_steps": ["Expand: -9x - 4437 + 88 = x + 3", "Combine constants: -9x - 4349 = x + 3", "Subtract x from both sides: -10x - 4349 = 3", "Add 4349 to both sides: -10x = 4352", "Divide both sides by -10: x = -2176/5"], "final_answer": "-2176/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 493) + 88 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 493, \"c\": 88, \"d\": 3}", "seed": "11392396959910308321", "semantic_fingerprint": "sha256:7a79ec9b0ceceee539e58db5d33273adde297c28b0a08e991ef92435931f5b4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001623", "prompt": "Solve for x: 2x - 14 = 6(x - 3)", "solution_steps": ["Expand: 2x - 14 = 6x - 18", "Subtract 6x from both sides: -4x - 14 = -18", "Add 14 to both sides: -4x = -4", "Divide both sides by -4: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 14 = 6(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 3, \"e\": -14, \"x\": 1}", "seed": "3667230192534426249", "semantic_fingerprint": "sha256:6fd337abba57a300f7de0f3efb057f09fc9ae05a260114d2649abff3d48ac287", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001624", "prompt": "Find x: -6(x + 1) = 7(x - 126) + 346", "solution_steps": ["Expand: -6x - 6 = 7(x - 126) + 346", "Expand: -6x - 6 = 7x - 882 + 346", "Combine constants: -6x - 6 = 7x - 536", "Subtract 7x from both sides: -13x - 6 = -536", "Add 6 to both sides: -13x = -530", "Divide both sides by -13: x = 530/13"], "final_answer": "530/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 1) = 7(x - 126) + 346", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"c\": 7, \"d\": 126, \"e\": 346}", "seed": "2899134146321556449", "semantic_fingerprint": "sha256:1cecfef067416304b94200f6b467350cfbffa73391bfb54e223fde5571ad5958", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001625", "prompt": "Solve for x: -2x - 5 = 9x - 126", "solution_steps": ["Subtract 9x from both sides: -11x - 5 = -126", "Add 5 to both sides: -11x = -121", "Divide both sides by -11: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 5 = 9x - 126", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 9, \"e\": -126, \"x\": 11}", "seed": "5447012303154939159", "semantic_fingerprint": "sha256:d66156b364db3fb8cca7c12f385ad9f715da66d4206e6e843f6229af79e016ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001626", "prompt": "Compute: -74 - (-63) * (241 / 305)", "solution_steps": ["Divide: 241 / 305 = 241/305", "Multiply: -63 * (241/305) = -15183/305", "Subtract: -74 - (-15183/305) = -7387/305"], "final_answer": "-7387/305", "answer_type": "rational", "kind": "expression", "math_text": "-74 - (-63) * (241 / 305)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -63, \"c\": 241, \"d\": 305}", "seed": "1344016826039854825", "semantic_fingerprint": "sha256:32653f09b58f654e3dae08332fc85daf31ffc76bc4f1a6d4f3478d65db159073", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001627", "prompt": "Compute: 66 * (0 * (-7)) * 9", "solution_steps": ["Multiply: 0 * (-7) = 0", "Multiply: 66 * 0 = 0", "Multiply: 0 * 9 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "66 * (0 * (-7)) * 9", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 0, \"c\": -7, \"d\": 9}", "seed": "3540050450110031030", "semantic_fingerprint": "sha256:b3e7eae6f4ca3901f440ede78e4476d13bb31a32754829d79d725f8fec6ff11c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001628", "prompt": "Compute: -814 - (-56 + 51) / (-948)", "solution_steps": ["Add: -56 + 51 = -5", "Divide: -5 / (-948) = 5/948", "Subtract: -814 - 5/948 = -771677/948"], "final_answer": "-771677/948", "answer_type": "rational", "kind": "expression", "math_text": "-814 - (-56 + 51) / (-948)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -814, \"b\": -56, \"c\": 51, \"d\": -948}", "seed": "3349472676476734608", "semantic_fingerprint": "sha256:c4afdb39c4fd7b457d55df2fda10ac406a2e944919ff125818edb05f5ca10a0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001629", "prompt": "Solve the equation 10(x + 9) + 53 = x + 278 for x.", "solution_steps": ["Expand: 10x + 90 + 53 = x + 278", "Combine constants: 10x + 143 = x + 278", "Subtract x from both sides: 9x + 143 = 278", "Subtract 143 from both sides: 9x = 135", "Divide both sides by 9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 9) + 53 = x + 278", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 53, \"e\": 278, \"x\": 15}", "seed": "9952752384117730673", "semantic_fingerprint": "sha256:718489adc0d34bd84ce38ebb616cda4bda8314607e9ca5a1c5157e55189aacd7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001630", "prompt": "Solve the equation 12x - 8 = 4x - 40 for x.", "solution_steps": ["Subtract 4x from both sides: 8x - 8 = -40", "Add 8 to both sides: 8x = -32", "Divide both sides by 8: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 8 = 4x - 40", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 4, \"e\": -40, \"x\": -4}", "seed": "3784923575854061794", "semantic_fingerprint": "sha256:c5f5bea4cd3af382fe7ea6a9849184a2900a814f9561110b5860559c3c776358", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001631", "prompt": "Solve for x: 9x = 3(x + 92) - 216", "solution_steps": ["Expand: 9x = 3x + 276 - 216", "Combine constants: 9x = 3x + 60", "Subtract 3x from both sides: 6x = 60", "Divide both sides by 6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 3(x + 92) - 216", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 92, \"e\": -216, \"x\": 10}", "seed": "2754450421933789098", "semantic_fingerprint": "sha256:70ced452d4230a3c207924c621dd10918859b996b0820c3eaa015fb01486486c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001632", "prompt": "Compute: -78 / 696 / (-88 + (2 - 5) + 7)", "solution_steps": ["Divide: -78 / 696 = -13/116", "Subtract: 2 - 5 = -3", "Add: -88 + (-3) = -91", "Add: -91 + 7 = -84", "Divide: (-13/116) / (-84) = 13/9744"], "final_answer": "13/9744", "answer_type": "rational", "kind": "expression", "math_text": "-78 / 696 / (-88 + (2 - 5) + 7)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (+ (+ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 696, \"c\": -88, \"d\": 2, \"e\": 5, \"f\": 7}", "seed": "810064404731582360", "semantic_fingerprint": "sha256:587b0b1f9335e5631eda77bb31e5a97134b5ec83245d0aecf53fbc31d07003e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001633", "prompt": "Calculate: -4 / (-9) / 70 - (-445)", "solution_steps": ["Divide: -4 / (-9) = 4/9", "Divide: (4/9) / 70 = 2/315", "Subtract: 2/315 - (-445) = 140177/315"], "final_answer": "140177/315", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-9) / 70 - (-445)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -9, \"c\": 70, \"d\": -445}", "seed": "11682750053033411424", "semantic_fingerprint": "sha256:4a287d7ad6f0a404438fddfad88ff9a50d834570390fc5d025b5bd3199076738", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001634", "prompt": "What is (-15 + 0 / (-715 / 2)) * (8 * 0)?", "solution_steps": ["Divide: -715 / 2 = -715/2", "Divide: 0 / (-715/2) = 0", "Add: -15 + 0 = -15", "Multiply: 8 * 0 = 0", "Multiply: -15 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-15 + 0 / (-715 / 2)) * (8 * 0)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n (/ n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 0, \"c\": -715, \"d\": 2, \"e\": 8, \"f\": 0}", "seed": "1922943690068233113", "semantic_fingerprint": "sha256:7b009afceeb276dbe4d65cc7a9c60c659e6b2b59c654741d15786f2545323b46", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001635", "prompt": "Calculate: -55 * ((41 - 3) / (-746 / 445) + 3)", "solution_steps": ["Subtract: 41 - 3 = 38", "Divide: -746 / 445 = -746/445", "Divide: 38 / (-746/445) = -8455/373", "Add: -8455/373 + 3 = -7336/373", "Multiply: -55 * (-7336/373) = 403480/373"], "final_answer": "403480/373", "answer_type": "rational", "kind": "expression", "math_text": "-55 * ((41 - 3) / (-746 / 445) + 3)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (/ (- n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 41, \"c\": 3, \"d\": -746, \"e\": 445, \"f\": 3}", "seed": "8529441505621453298", "semantic_fingerprint": "sha256:89b9276c7aaae843baac8fc3c038e5055752106727f9ad7579e0ac86415e4982", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001636", "prompt": "Evaluate: (3 - (-13 - 77 + (-5))) / (4 / (-48))", "solution_steps": ["Subtract: -13 - 77 = -90", "Add: -90 + (-5) = -95", "Subtract: 3 - (-95) = 98", "Divide: 4 / (-48) = -1/12", "Divide: 98 / (-1/12) = -1176"], "final_answer": "-1176", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (-13 - 77 + (-5))) / (4 / (-48))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -13, \"c\": 77, \"d\": -5, \"e\": 4, \"f\": -48}", "seed": "17008289888677800190", "semantic_fingerprint": "sha256:26b85beed371fe2d4dd565d8d6723e84cd8ed08fbdf128b30897afaeee33a91c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001637", "prompt": "Solve the equation 12(x + 542) - 4 = x + 588 for x.", "solution_steps": ["Expand: 12x + 6504 - 4 = x + 588", "Combine constants: 12x + 6500 = x + 588", "Subtract x from both sides: 11x + 6500 = 588", "Subtract 6500 from both sides: 11x = -5912", "Divide both sides by 11: x = -5912/11"], "final_answer": "-5912/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 542) - 4 = x + 588", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 542, \"c\": 4, \"d\": 588}", "seed": "10738305708180003168", "semantic_fingerprint": "sha256:db1f7831e03a0233a2a1f1794a38d9186729a2df1dec94d41e693e6af2c82036", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001638", "prompt": "What value of x satisfies 4(x + 503) = -7(x - 3) + 4?", "solution_steps": ["Expand: 4x + 2012 = -7(x - 3) + 4", "Expand: 4x + 2012 = -7x + 21 + 4", "Combine constants: 4x + 2012 = -7x + 25", "Add 7x to both sides: 11x + 2012 = 25", "Subtract 2012 from both sides: 11x = -1987", "Divide both sides by 11: x = -1987/11"], "final_answer": "-1987/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 503) = -7(x - 3) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 503, \"c\": -7, \"d\": 3, \"e\": 4}", "seed": "3089803716586190592", "semantic_fingerprint": "sha256:5cae63ac2a40f0090d398be924c887eb70ca1839512395c0e222031fc85f43e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001639", "prompt": "Evaluate: -17 * (-4 / 7) * (152 * 77)", "solution_steps": ["Divide: -4 / 7 = -4/7", "Multiply: -17 * (-4/7) = 68/7", "Multiply: 152 * 77 = 11704", "Multiply: (68/7) * 11704 = 113696"], "final_answer": "113696", "answer_type": "integer", "kind": "expression", "math_text": "-17 * (-4 / 7) * (152 * 77)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -4, \"c\": 7, \"d\": 152, \"e\": 77}", "seed": "7319704745446577646", "semantic_fingerprint": "sha256:0b1ae007e94111daa706d4a85b5feabf9aa9a46cab1ad2aa7d9a8e44735bef7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001640", "prompt": "Solve the equation 11x = 6(x + 593) + 27 for x.", "solution_steps": ["Expand: 11x = 6x + 3558 + 27", "Combine constants: 11x = 6x + 3585", "Subtract 6x from both sides: 5x = 3585", "Divide both sides by 5: x = 717"], "final_answer": "717", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 6(x + 593) + 27", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 593, \"d\": 27}", "seed": "14930618443984746644", "semantic_fingerprint": "sha256:555725a4c37a763a666bc675145f108c4a75cf34d5216100dab15fb6ccfc243e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001641", "prompt": "What value of x satisfies -2(x - 31) - 71 = x + 1?", "solution_steps": ["Expand: -2x + 62 - 71 = x + 1", "Combine constants: -2x - 9 = x + 1", "Subtract x from both sides: -3x - 9 = 1", "Add 9 to both sides: -3x = 10", "Divide both sides by -3: x = -10/3"], "final_answer": "-10/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 31) - 71 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 31, \"c\": 71, \"d\": 1}", "seed": "1748731123700890542", "semantic_fingerprint": "sha256:d4be1c229055ec7f06d284b0903199af8a49bbace2d78a862744f2e5f6860d33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001642", "prompt": "Compute: 781 * 7 + (1 - 872)", "solution_steps": ["Multiply: 781 * 7 = 5467", "Subtract: 1 - 872 = -871", "Add: 5467 + (-871) = 4596"], "final_answer": "4596", "answer_type": "integer", "kind": "expression", "math_text": "781 * 7 + (1 - 872)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 781, \"b\": 7, \"c\": 1, \"d\": 872}", "seed": "6554772914022652659", "semantic_fingerprint": "sha256:8b844f657d21394eddf429b53dcaeae0028e77ca5226b21192c5dba7a136afd5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001643", "prompt": "Solve for x: 11(x + 57) - 78 = x + 409", "solution_steps": ["Expand: 11x + 627 - 78 = x + 409", "Combine constants: 11x + 549 = x + 409", "Subtract x from both sides: 10x + 549 = 409", "Subtract 549 from both sides: 10x = -140", "Divide both sides by 10: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 57) - 78 = x + 409", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 57, \"c\": 78, \"e\": 409, \"x\": -14}", "seed": "7580814162972182442", "semantic_fingerprint": "sha256:4c7babd77356589f9f806dad7cc370d489bef0d624ef96e286d4244e94079c43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001644", "prompt": "What is 0 * 34 * (5 - (-75) + 90) / 94?", "solution_steps": ["Multiply: 0 * 34 = 0", "Subtract: 5 - (-75) = 80", "Add: 80 + 90 = 170", "Multiply: 0 * 170 = 0", "Divide: 0 / 94 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 34 * (5 - (-75) + 90) / 94", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 34, \"c\": 5, \"d\": -75, \"e\": 90, \"f\": 94}", "seed": "3172223698630312368", "semantic_fingerprint": "sha256:0a267b2edb153b0dfc42a0e1707b010c884b06b46d59f096db77406ebed6cf22", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001645", "prompt": "Solve for x: 5(x - 69) + 883 = 6(x + 20)", "solution_steps": ["Expand: 5x - 345 + 883 = 6(x + 20)", "Expand: 5x - 345 + 883 = 6x + 120", "Combine constants: 5x + 538 = 6x + 120", "Subtract 6x from both sides: -x + 538 = 120", "Subtract 538 from both sides: -x = -418", "Divide both sides by -1: x = 418"], "final_answer": "418", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 69) + 883 = 6(x + 20)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 69, \"c\": 883, \"d\": 6, \"e\": 20}", "seed": "15301930921952442731", "semantic_fingerprint": "sha256:ac8506469aca41ca891c726bacfc5e64d792f8d3d5d8642d333edf9d9a46d073", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001646", "prompt": "Calculate: 347 * 5 * (53 + (-6 + (-3)))", "solution_steps": ["Multiply: 347 * 5 = 1735", "Add: -6 + (-3) = -9", "Add: 53 + (-9) = 44", "Multiply: 1735 * 44 = 76340"], "final_answer": "76340", "answer_type": "integer", "kind": "expression", "math_text": "347 * 5 * (53 + (-6 + (-3)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 347, \"b\": 5, \"c\": 53, \"d\": -6, \"e\": -3}", "seed": "14147092179526797656", "semantic_fingerprint": "sha256:69e10b36e34494592f6ca62366048f3c2f8a1f77ecc7ac49f8db1dbaf1506045", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001647", "prompt": "Compute: (39 - 0 - (-41)) * 81", "solution_steps": ["Subtract: 39 - 0 = 39", "Subtract: 39 - (-41) = 80", "Multiply: 80 * 81 = 6480"], "final_answer": "6480", "answer_type": "integer", "kind": "expression", "math_text": "(39 - 0 - (-41)) * 81", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 0, \"c\": -41, \"d\": 81}", "seed": "14839534994939335941", "semantic_fingerprint": "sha256:97bcb2dcca47b51487916510cfcfadb26c65bef46274d912d055dde568833989", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001648", "prompt": "Find x: 4x = 5(x + 37) - 97", "solution_steps": ["Expand: 4x = 5x + 185 - 97", "Combine constants: 4x = 5x + 88", "Subtract 5x from both sides: -x = 88", "Divide both sides by -1: x = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 5(x + 37) - 97", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 37, \"d\": 97}", "seed": "2593376119237770272", "semantic_fingerprint": "sha256:30800999de592e78bc7b7df0ad36be87ab57387b97fdad748ddf1410ea42721a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001649", "prompt": "Evaluate: 56 * (67 / (-3) / (-68) - 5) * 24", "solution_steps": ["Divide: 67 / (-3) = -67/3", "Divide: (-67/3) / (-68) = 67/204", "Subtract: 67/204 - 5 = -953/204", "Multiply: 56 * (-953/204) = -13342/51", "Multiply: (-13342/51) * 24 = -106736/17"], "final_answer": "-106736/17", "answer_type": "rational", "kind": "expression", "math_text": "56 * (67 / (-3) / (-68) - 5) * 24", "variable": null, "family": "expression_5op", "shape": "(* (* n (- (/ (/ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 67, \"c\": -3, \"d\": -68, \"e\": 5, \"f\": 24}", "seed": "981349037515446556", "semantic_fingerprint": "sha256:93cd605b442d7fe15de0b1e2f465a09d355a3d25b8ea936161e2d92593e9cf80", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001650", "prompt": "What value of x satisfies 3x - 776 = 12x - 875?", "solution_steps": ["Subtract 12x from both sides: -9x - 776 = -875", "Add 776 to both sides: -9x = -99", "Divide both sides by -9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 776 = 12x - 875", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 776, \"c\": 12, \"e\": -875, \"x\": 11}", "seed": "5428206870869871335", "semantic_fingerprint": "sha256:dd528237a4eefaa32739df444eb2f5a594e8af3733f7037692d093050e43e34b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001651", "prompt": "Calculate: -859 * (-9) + (-606 - 17)", "solution_steps": ["Multiply: -859 * (-9) = 7731", "Subtract: -606 - 17 = -623", "Add: 7731 + (-623) = 7108"], "final_answer": "7108", "answer_type": "integer", "kind": "expression", "math_text": "-859 * (-9) + (-606 - 17)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -859, \"b\": -9, \"c\": -606, \"d\": 17}", "seed": "3652437550406317563", "semantic_fingerprint": "sha256:f21212ecfdd3de4e00ab08470c84670a4f5d43c00129a996ceeabc29291a8ce7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001652", "prompt": "Evaluate: -7 * (14 / (48 * (-4)) + (-228)) + (-9)", "solution_steps": ["Multiply: 48 * (-4) = -192", "Divide: 14 / (-192) = -7/96", "Add: -7/96 + (-228) = -21895/96", "Multiply: -7 * (-21895/96) = 153265/96", "Add: 153265/96 + (-9) = 152401/96"], "final_answer": "152401/96", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (14 / (48 * (-4)) + (-228)) + (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ (/ n (* n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 14, \"c\": 48, \"d\": -4, \"e\": -228, \"f\": -9}", "seed": "13073379118775193184", "semantic_fingerprint": "sha256:8ff56137f9c94ce36e24f287d48940e2e21591f8ba58c877aa9ce7a73d3cad56", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001653", "prompt": "Calculate: 1 - (2 + 9) / (-77)", "solution_steps": ["Add: 2 + 9 = 11", "Divide: 11 / (-77) = -1/7", "Subtract: 1 - (-1/7) = 8/7"], "final_answer": "8/7", "answer_type": "rational", "kind": "expression", "math_text": "1 - (2 + 9) / (-77)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 2, \"c\": 9, \"d\": -77}", "seed": "8553135742321216941", "semantic_fingerprint": "sha256:3d9d4da524d0bfe00c2a89409a2af13a13742b98946509438986d60c64826f29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001654", "prompt": "Compute: -75 / (-3) - 88 * (-95) / (-80)", "solution_steps": ["Divide: -75 / (-3) = 25", "Multiply: 88 * (-95) = -8360", "Divide: -8360 / (-80) = 209/2", "Subtract: 25 - 209/2 = -159/2"], "final_answer": "-159/2", "answer_type": "rational", "kind": "expression", "math_text": "-75 / (-3) - 88 * (-95) / (-80)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -3, \"c\": 88, \"d\": -95, \"e\": -80}", "seed": "7969708241134271567", "semantic_fingerprint": "sha256:310878f80db6d14ae55fd5cd1a68253892386d26cc6e710ee9ffff5c9740790d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001655", "prompt": "Compute: (13 - 23 - 11) * 38", "solution_steps": ["Subtract: 13 - 23 = -10", "Subtract: -10 - 11 = -21", "Multiply: -21 * 38 = -798"], "final_answer": "-798", "answer_type": "integer", "kind": "expression", "math_text": "(13 - 23 - 11) * 38", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 23, \"c\": 11, \"d\": 38}", "seed": "15061662116620618414", "semantic_fingerprint": "sha256:ce3b93ca7b6cc2532fc564a2f41f1a17e6528ade6eec7bfd221688d5063b0e5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001656", "prompt": "What value of x satisfies -4x = -12(x + 72) + 265?", "solution_steps": ["Expand: -4x = -12x - 864 + 265", "Combine constants: -4x = -12x - 599", "Add 12x to both sides: 8x = -599", "Divide both sides by 8: x = -599/8"], "final_answer": "-599/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = -12(x + 72) + 265", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -12, \"c\": 72, \"d\": 265}", "seed": "8677947829137025370", "semantic_fingerprint": "sha256:00d9e6e2f470f6adfd0071fe0b266a71a690a51bdd97467bcb1e65ff7108fa24", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001657", "prompt": "Find x: 2x = 12(x + 777) + 98", "solution_steps": ["Expand: 2x = 12x + 9324 + 98", "Combine constants: 2x = 12x + 9422", "Subtract 12x from both sides: -10x = 9422", "Divide both sides by -10: x = -4711/5"], "final_answer": "-4711/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 12(x + 777) + 98", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 777, \"d\": 98}", "seed": "7108604707468745423", "semantic_fingerprint": "sha256:25e6026e048dcef295a1906c799f4f1d7b01ff8ddf7b8f169ed36b28390619e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001658", "prompt": "Compute: (98 + 51) / (-96) + 16", "solution_steps": ["Add: 98 + 51 = 149", "Divide: 149 / (-96) = -149/96", "Add: -149/96 + 16 = 1387/96"], "final_answer": "1387/96", "answer_type": "rational", "kind": "expression", "math_text": "(98 + 51) / (-96) + 16", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 51, \"c\": -96, \"d\": 16}", "seed": "1218738690214655528", "semantic_fingerprint": "sha256:44bfd4228bc924875c71bbe00344c431ae8ef0e9151615b6648bcee283a8f7ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001659", "prompt": "Solve the equation 11(x + 51) = -5(x - 3) + 562 for x.", "solution_steps": ["Expand: 11x + 561 = -5(x - 3) + 562", "Expand: 11x + 561 = -5x + 15 + 562", "Combine constants: 11x + 561 = -5x + 577", "Add 5x to both sides: 16x + 561 = 577", "Subtract 561 from both sides: 16x = 16", "Divide both sides by 16: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 51) = -5(x - 3) + 562", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 51, \"c\": -5, \"d\": 3, \"f\": 562, \"x\": 1}", "seed": "9722556278522483857", "semantic_fingerprint": "sha256:7e0ec53175136c6e8e350bef0787e46f21cb23c5399b63c9a4c63da0daff6ade", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001660", "prompt": "Solve for x: 5x - 1 = -5x - 91", "solution_steps": ["Add 5x to both sides: 10x - 1 = -91", "Add 1 to both sides: 10x = -90", "Divide both sides by 10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 1 = -5x - 91", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": -5, \"e\": -91, \"x\": -9}", "seed": "8057438778799314946", "semantic_fingerprint": "sha256:ae50757afd1a0e948c16f97db5852b86baa4b9b4f80f86c59e36b42237585063", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001661", "prompt": "Evaluate: -553 * (46 * (-24)) + 8", "solution_steps": ["Multiply: 46 * (-24) = -1104", "Multiply: -553 * (-1104) = 610512", "Add: 610512 + 8 = 610520"], "final_answer": "610520", "answer_type": "integer", "kind": "expression", "math_text": "-553 * (46 * (-24)) + 8", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -553, \"b\": 46, \"c\": -24, \"d\": 8}", "seed": "9830480833336825505", "semantic_fingerprint": "sha256:09fb293a395917cad35ea43c40371c8e2e774b69c70448a5754c27652aaee29a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001662", "prompt": "Solve the equation 7x = -9(x + 32) + 240 for x.", "solution_steps": ["Expand: 7x = -9x - 288 + 240", "Combine constants: 7x = -9x - 48", "Add 9x to both sides: 16x = -48", "Divide both sides by 16: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -9(x + 32) + 240", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -9, \"c\": 32, \"e\": 240, \"x\": -3}", "seed": "10895113453408899941", "semantic_fingerprint": "sha256:0adde393cc350314e0af74616836b2e923949b0111a807c1e223bb544dc8f7b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001663", "prompt": "What value of x satisfies 3(x - 9) + 477 = 7(x + 7)?", "solution_steps": ["Expand: 3x - 27 + 477 = 7(x + 7)", "Expand: 3x - 27 + 477 = 7x + 49", "Combine constants: 3x + 450 = 7x + 49", "Subtract 7x from both sides: -4x + 450 = 49", "Subtract 450 from both sides: -4x = -401", "Divide both sides by -4: x = 401/4"], "final_answer": "401/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 9) + 477 = 7(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 477, \"d\": 7, \"e\": 7}", "seed": "13099371363474511468", "semantic_fingerprint": "sha256:baedc5f579b6cc49ccc49c4a78e984436439b403c697752156dda12262434e54", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001664", "prompt": "Compute: -70 - (28 - (-58)) / (10 / (-34 - 370))", "solution_steps": ["Subtract: 28 - (-58) = 86", "Subtract: -34 - 370 = -404", "Divide: 10 / (-404) = -5/202", "Divide: 86 / (-5/202) = -17372/5", "Subtract: -70 - (-17372/5) = 17022/5"], "final_answer": "17022/5", "answer_type": "rational", "kind": "expression", "math_text": "-70 - (28 - (-58)) / (10 / (-34 - 370))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n n) (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 28, \"c\": -58, \"d\": 10, \"e\": -34, \"f\": 370}", "seed": "10306352834749947997", "semantic_fingerprint": "sha256:97791204735f270f5054309b28f6d9331745beb318f21581ee2f1fd2180e861a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001665", "prompt": "Compute: (123 - 701 - 96) / (-50 - (46 + (-76)))", "solution_steps": ["Subtract: 123 - 701 = -578", "Subtract: -578 - 96 = -674", "Add: 46 + (-76) = -30", "Subtract: -50 - (-30) = -20", "Divide: -674 / (-20) = 337/10"], "final_answer": "337/10", "answer_type": "rational", "kind": "expression", "math_text": "(123 - 701 - 96) / (-50 - (46 + (-76)))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 123, \"b\": 701, \"c\": 96, \"d\": -50, \"e\": 46, \"f\": -76}", "seed": "12544366734778137564", "semantic_fingerprint": "sha256:af5628cbd9f05d915b77419a9677af686a23ff5d813f6b200cd7bca11b6e5dd2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001666", "prompt": "Calculate: 32 * (-13 + 129 * 19)", "solution_steps": ["Multiply: 129 * 19 = 2451", "Add: -13 + 2451 = 2438", "Multiply: 32 * 2438 = 78016"], "final_answer": "78016", "answer_type": "integer", "kind": "expression", "math_text": "32 * (-13 + 129 * 19)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -13, \"c\": 129, \"d\": 19}", "seed": "5738232319125653565", "semantic_fingerprint": "sha256:4dcc84b57782343364154c5c98ec17d6de915c4d0eb32fa12bb65c7bd70626e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001667", "prompt": "What value of x satisfies -11x - 36 = -9x - 42?", "solution_steps": ["Add 9x to both sides: -2x - 36 = -42", "Add 36 to both sides: -2x = -6", "Divide both sides by -2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 36 = -9x - 42", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 36, \"c\": -9, \"e\": -42, \"x\": 3}", "seed": "15295497751885774117", "semantic_fingerprint": "sha256:441e46c61503e387f8bd837bc3ab2d57e0dc719a91765c75f1331829df7915f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001668", "prompt": "Evaluate: -2 * (0 * (-597 * 740)) / (-137)", "solution_steps": ["Multiply: -597 * 740 = -441780", "Multiply: 0 * (-441780) = 0", "Multiply: -2 * 0 = 0", "Divide: 0 / (-137) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (0 * (-597 * 740)) / (-137)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": -597, \"d\": 740, \"e\": -137}", "seed": "10197861637532430280", "semantic_fingerprint": "sha256:cdda6224e853375b17b4977359469b6c56f41aaedd08e69b334d6fe8c9488411", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001669", "prompt": "What is 569 * (-58) + 251 * 61 + 55?", "solution_steps": ["Multiply: 569 * (-58) = -33002", "Multiply: 251 * 61 = 15311", "Add: -33002 + 15311 = -17691", "Add: -17691 + 55 = -17636"], "final_answer": "-17636", "answer_type": "integer", "kind": "expression", "math_text": "569 * (-58) + 251 * 61 + 55", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 569, \"b\": -58, \"c\": 251, \"d\": 61, \"e\": 55}", "seed": "13247852899031397984", "semantic_fingerprint": "sha256:395b3926efa3be4618795887cac8dc86a3d4f320f332e9cb1f10569fe651991f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001670", "prompt": "Solve the equation -10x = 3(x + 4) - 38 for x.", "solution_steps": ["Expand: -10x = 3x + 12 - 38", "Combine constants: -10x = 3x - 26", "Subtract 3x from both sides: -13x = -26", "Divide both sides by -13: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 3(x + 4) - 38", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": 4, \"e\": -38, \"x\": 2}", "seed": "4356675832345206140", "semantic_fingerprint": "sha256:c0883d7163e223c1eb517a06575ac2644cf6ec0b1e43ec17db11f5de8c7beba7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001671", "prompt": "Compute: 4 / (-85) / (36 / (-69 + 4))", "solution_steps": ["Divide: 4 / (-85) = -4/85", "Add: -69 + 4 = -65", "Divide: 36 / (-65) = -36/65", "Divide: (-4/85) / (-36/65) = 13/153"], "final_answer": "13/153", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-85) / (36 / (-69 + 4))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -85, \"c\": 36, \"d\": -69, \"e\": 4}", "seed": "5444250027598492654", "semantic_fingerprint": "sha256:86634e4b0f065793eb9972801ab6beb4801a24548765d6a252fc074d90b8497c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001672", "prompt": "Evaluate: -7 * 457 + 1 + 543", "solution_steps": ["Multiply: -7 * 457 = -3199", "Add: -3199 + 1 = -3198", "Add: -3198 + 543 = -2655"], "final_answer": "-2655", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 457 + 1 + 543", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 457, \"c\": 1, \"d\": 543}", "seed": "6166959805150454961", "semantic_fingerprint": "sha256:78067c77aae66009ccc84241375586286860149e9c65c01f8fc0ff6d34bd49af", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001673", "prompt": "Calculate: -135 * (883 / (890 * (-4) + 18))", "solution_steps": ["Multiply: 890 * (-4) = -3560", "Add: -3560 + 18 = -3542", "Divide: 883 / (-3542) = -883/3542", "Multiply: -135 * (-883/3542) = 119205/3542"], "final_answer": "119205/3542", "answer_type": "rational", "kind": "expression", "math_text": "-135 * (883 / (890 * (-4) + 18))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -135, \"b\": 883, \"c\": 890, \"d\": -4, \"e\": 18}", "seed": "14680687092269024975", "semantic_fingerprint": "sha256:55b8c8a6618611d8f79821f7351e41f9f92ed1645c8341699e550bf7f3411ee7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001674", "prompt": "What is (-95 - (-7) - (-346)) / (-39 / (-64) / (-2))?", "solution_steps": ["Subtract: -95 - (-7) = -88", "Subtract: -88 - (-346) = 258", "Divide: -39 / (-64) = 39/64", "Divide: (39/64) / (-2) = -39/128", "Divide: 258 / (-39/128) = -11008/13"], "final_answer": "-11008/13", "answer_type": "rational", "kind": "expression", "math_text": "(-95 - (-7) - (-346)) / (-39 / (-64) / (-2))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) n) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -7, \"c\": -346, \"d\": -39, \"e\": -64, \"f\": -2}", "seed": "3852771832416566636", "semantic_fingerprint": "sha256:3523d153c44e56604621a9731dd6f38e68ce5a3d7f8cad752734215382d811b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001675", "prompt": "Evaluate: 3 + (-7 - (-7) * 355) + (-94 + (-6))", "solution_steps": ["Multiply: -7 * 355 = -2485", "Subtract: -7 - (-2485) = 2478", "Add: 3 + 2478 = 2481", "Add: -94 + (-6) = -100", "Add: 2481 + (-100) = 2381"], "final_answer": "2381", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-7 - (-7) * 355) + (-94 + (-6))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n (* n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": -7, \"d\": 355, \"e\": -94, \"f\": -6}", "seed": "9420010203047719840", "semantic_fingerprint": "sha256:29bdc77b4a99ab4bcf712bc0442a299af8dee591bc9ff9a8979a499a465b1aec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001676", "prompt": "What value of x satisfies 10x = 2(x + 66) - 124?", "solution_steps": ["Expand: 10x = 2x + 132 - 124", "Combine constants: 10x = 2x + 8", "Subtract 2x from both sides: 8x = 8", "Divide both sides by 8: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 2(x + 66) - 124", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 66, \"e\": -124, \"x\": 1}", "seed": "14689221511699909276", "semantic_fingerprint": "sha256:78ab6b0018102cba2166fea784f955d9b4b333ab68b7946046befad7acc6b55c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001677", "prompt": "Evaluate: (212 - (-8) * (-6)) / (-8)", "solution_steps": ["Multiply: -8 * (-6) = 48", "Subtract: 212 - 48 = 164", "Divide: 164 / (-8) = -41/2"], "final_answer": "-41/2", "answer_type": "rational", "kind": "expression", "math_text": "(212 - (-8) * (-6)) / (-8)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 212, \"b\": -8, \"c\": -6, \"d\": -8}", "seed": "10329965451005279194", "semantic_fingerprint": "sha256:a5727b8d8650407035fcb7742bd5d4de1341859003850873dc53d859b881360f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001678", "prompt": "Solve the equation 4(x - 68) + 214 = -6(x + 8) for x.", "solution_steps": ["Expand: 4x - 272 + 214 = -6(x + 8)", "Expand: 4x - 272 + 214 = -6x - 48", "Combine constants: 4x - 58 = -6x - 48", "Add 6x to both sides: 10x - 58 = -48", "Add 58 to both sides: 10x = 10", "Divide both sides by 10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 68) + 214 = -6(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 68, \"c\": -6, \"d\": 8, \"f\": 214, \"x\": 1}", "seed": "4244250983944346929", "semantic_fingerprint": "sha256:393ccbbe7fc08f54b73725b4d7be6b52a7fe937df648f40c79a5013f92e455a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001679", "prompt": "Calculate: -9 * 5 + (-5) + (-7)", "solution_steps": ["Multiply: -9 * 5 = -45", "Add: -45 + (-5) = -50", "Add: -50 + (-7) = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 5 + (-5) + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": -5, \"d\": -7}", "seed": "4755583559619143157", "semantic_fingerprint": "sha256:5f9a89ea1b16c33761d203317fd2a5d4575c7a2ca4ac6e6b55da9ad552a434b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001680", "prompt": "What is (690 - (73 + 41)) * (-2)?", "solution_steps": ["Add: 73 + 41 = 114", "Subtract: 690 - 114 = 576", "Multiply: 576 * (-2) = -1152"], "final_answer": "-1152", "answer_type": "integer", "kind": "expression", "math_text": "(690 - (73 + 41)) * (-2)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 690, \"b\": 73, \"c\": 41, \"d\": -2}", "seed": "9559984574051561374", "semantic_fingerprint": "sha256:ef18f22a644f43c5f2cea3a2db8a4f1e56a39ab57e07db2514946d1ecd35f976", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001681", "prompt": "Find x: -10(x + 33) - 1 = x + 310", "solution_steps": ["Expand: -10x - 330 - 1 = x + 310", "Combine constants: -10x - 331 = x + 310", "Subtract x from both sides: -11x - 331 = 310", "Add 331 to both sides: -11x = 641", "Divide both sides by -11: x = -641/11"], "final_answer": "-641/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 33) - 1 = x + 310", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 33, \"c\": 1, \"d\": 310}", "seed": "12258055978085804631", "semantic_fingerprint": "sha256:a3ad0cf6073f3d2d7ad5114c7f727ad014f8c8988b16b3c6c286a8dbaaf5544d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001682", "prompt": "Compute: -3 - (943 + 890) / (-69)", "solution_steps": ["Add: 943 + 890 = 1833", "Divide: 1833 / (-69) = -611/23", "Subtract: -3 - (-611/23) = 542/23"], "final_answer": "542/23", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (943 + 890) / (-69)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 943, \"c\": 890, \"d\": -69}", "seed": "8478198139416001813", "semantic_fingerprint": "sha256:541b3cde140bd84d65d12f82faa257341bdd08f5c98229e207dc49ba100c0381", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001683", "prompt": "Calculate: (55 + 9) / (85 - (-1)) / 5", "solution_steps": ["Add: 55 + 9 = 64", "Subtract: 85 - (-1) = 86", "Divide: 64 / 86 = 32/43", "Divide: (32/43) / 5 = 32/215"], "final_answer": "32/215", "answer_type": "rational", "kind": "expression", "math_text": "(55 + 9) / (85 - (-1)) / 5", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 9, \"c\": 85, \"d\": -1, \"e\": 5}", "seed": "6949191883988739470", "semantic_fingerprint": "sha256:95f814b4d5c37275e6cf93384096476052d6edf07a698942a72b696488ad7258", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001684", "prompt": "Calculate: 88 * (-404) + (-61 - (-97))", "solution_steps": ["Multiply: 88 * (-404) = -35552", "Subtract: -61 - (-97) = 36", "Add: -35552 + 36 = -35516"], "final_answer": "-35516", "answer_type": "integer", "kind": "expression", "math_text": "88 * (-404) + (-61 - (-97))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -404, \"c\": -61, \"d\": -97}", "seed": "5774253672476228659", "semantic_fingerprint": "sha256:e64cb5aeee43ecd0d0e12d4f8adc90d4d9ab10f5cc8519dad82d9ae31e0f0ab0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001685", "prompt": "Find x: 5x - 135 = 11x - 243", "solution_steps": ["Subtract 11x from both sides: -6x - 135 = -243", "Add 135 to both sides: -6x = -108", "Divide both sides by -6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 135 = 11x - 243", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 135, \"c\": 11, \"e\": -243, \"x\": 18}", "seed": "1751116317296474469", "semantic_fingerprint": "sha256:f6862e611dad5a94c6b7701ffcd38ec8d0c589dc5c437654253c21b92c625b3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001686", "prompt": "What is 5 * (-58) + (-466) + (-1) / 1?", "solution_steps": ["Multiply: 5 * (-58) = -290", "Add: -290 + (-466) = -756", "Divide: -1 / 1 = -1", "Add: -756 + (-1) = -757"], "final_answer": "-757", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-58) + (-466) + (-1) / 1", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -58, \"c\": -466, \"d\": -1, \"e\": 1}", "seed": "14571693451938091415", "semantic_fingerprint": "sha256:9ba2d58b60b7793fa0ffc4d716706f0754e0d01e46881dcf7e17e1c96db1fc23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001687", "prompt": "Solve for x: 10(x + 702) - 26 = x + 911", "solution_steps": ["Expand: 10x + 7020 - 26 = x + 911", "Combine constants: 10x + 6994 = x + 911", "Subtract x from both sides: 9x + 6994 = 911", "Subtract 6994 from both sides: 9x = -6083", "Divide both sides by 9: x = -6083/9"], "final_answer": "-6083/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 702) - 26 = x + 911", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 702, \"c\": 26, \"d\": 911}", "seed": "15800480881734587138", "semantic_fingerprint": "sha256:d2878019412e523349b96ba92f6bfd29a1114bc1fbe6f1be59f7b5ba97f74dc2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001688", "prompt": "Find x: 4x = 7(x + 12) - 42", "solution_steps": ["Expand: 4x = 7x + 84 - 42", "Combine constants: 4x = 7x + 42", "Subtract 7x from both sides: -3x = 42", "Divide both sides by -3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 7(x + 12) - 42", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 12, \"e\": -42, \"x\": -14}", "seed": "7691425062712343033", "semantic_fingerprint": "sha256:51bc5a5cc926462759642fd38e4c56be4b0536f36758e3bd85a7baed60282a80", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001689", "prompt": "Calculate: -60 - (-771) + (-91) / (385 - (-91))", "solution_steps": ["Subtract: -60 - (-771) = 711", "Subtract: 385 - (-91) = 476", "Divide: -91 / 476 = -13/68", "Add: 711 + (-13/68) = 48335/68"], "final_answer": "48335/68", "answer_type": "rational", "kind": "expression", "math_text": "-60 - (-771) + (-91) / (385 - (-91))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -771, \"c\": -91, \"d\": 385, \"e\": -91}", "seed": "2516043870081691428", "semantic_fingerprint": "sha256:79f51ebde5137bfdc0022ec08613d050512c34b8c7940788cece1cec2a8eeedf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001690", "prompt": "Calculate: (1 + (78 - 272 - (-9))) / (-874) - 413", "solution_steps": ["Subtract: 78 - 272 = -194", "Subtract: -194 - (-9) = -185", "Add: 1 + (-185) = -184", "Divide: -184 / (-874) = 4/19", "Subtract: 4/19 - 413 = -7843/19"], "final_answer": "-7843/19", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (78 - 272 - (-9))) / (-874) - 413", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n (- (- n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 78, \"c\": 272, \"d\": -9, \"e\": -874, \"f\": 413}", "seed": "12293328868778056695", "semantic_fingerprint": "sha256:b84994310d3c6eebee10cc3225d207b9e4d2fcf2cd534f00b15a47df8ca4e002", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001691", "prompt": "Solve the equation 11x - 3 = 2x - 12 for x.", "solution_steps": ["Subtract 2x from both sides: 9x - 3 = -12", "Add 3 to both sides: 9x = -9", "Divide both sides by 9: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 3 = 2x - 12", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 2, \"e\": -12, \"x\": -1}", "seed": "4963232571089567808", "semantic_fingerprint": "sha256:f4b3610f08564eccad7851ff6166165dc073a892190f62d7f426ca397a2998e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001692", "prompt": "Calculate: -604 - (-56) * (87 / (-38))", "solution_steps": ["Divide: 87 / (-38) = -87/38", "Multiply: -56 * (-87/38) = 2436/19", "Subtract: -604 - 2436/19 = -13912/19"], "final_answer": "-13912/19", "answer_type": "rational", "kind": "expression", "math_text": "-604 - (-56) * (87 / (-38))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -604, \"b\": -56, \"c\": 87, \"d\": -38}", "seed": "12170576924727352572", "semantic_fingerprint": "sha256:ec6b464a3b0a92c07fdcf8f5d75f95017370718a1a0ee77465f8a1324a3356d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001693", "prompt": "Solve the equation 4x - 4 = 9x - 7 for x.", "solution_steps": ["Subtract 9x from both sides: -5x - 4 = -7", "Add 4 to both sides: -5x = -3", "Divide both sides by -5: x = 3/5"], "final_answer": "3/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 4 = 9x - 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 9, \"d\": 7}", "seed": "7326246093745813801", "semantic_fingerprint": "sha256:767dba70cb7c4b90c122ef2313a2dda46195e0a1c2a1eca17ca6292b9c791dce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001694", "prompt": "Compute: (799 + (-931)) / (-9 + 2)", "solution_steps": ["Add: 799 + (-931) = -132", "Add: -9 + 2 = -7", "Divide: -132 / (-7) = 132/7"], "final_answer": "132/7", "answer_type": "rational", "kind": "expression", "math_text": "(799 + (-931)) / (-9 + 2)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 799, \"b\": -931, \"c\": -9, \"d\": 2}", "seed": "2639750165984701937", "semantic_fingerprint": "sha256:7b82c92e365df91cd762293eb44322d7be7f52dffcbc4a6854d82d5fb5c3ee8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001695", "prompt": "Calculate: -6 * (-7 + (-8) + (-8)) - (-3) * 83", "solution_steps": ["Add: -7 + (-8) = -15", "Add: -15 + (-8) = -23", "Multiply: -6 * (-23) = 138", "Multiply: -3 * 83 = -249", "Subtract: 138 - (-249) = 387"], "final_answer": "387", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-7 + (-8) + (-8)) - (-3) * 83", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -7, \"c\": -8, \"d\": -8, \"e\": -3, \"f\": 83}", "seed": "6067206790826176358", "semantic_fingerprint": "sha256:1904062bb9afb871b57df10616d980f96e2a3bfe314f3996ef9e177705735cb8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001696", "prompt": "Calculate: (8 + (-8) / (-237) + 2) * 91", "solution_steps": ["Divide: -8 / (-237) = 8/237", "Add: 8 + 8/237 = 1904/237", "Add: 1904/237 + 2 = 2378/237", "Multiply: (2378/237) * 91 = 216398/237"], "final_answer": "216398/237", "answer_type": "rational", "kind": "expression", "math_text": "(8 + (-8) / (-237) + 2) * 91", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": -237, \"d\": 2, \"e\": 91}", "seed": "16497442519216881031", "semantic_fingerprint": "sha256:820ca31f02f924141780042304183ee849c20a33017cb2886e9b9e765dc92ebf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001697", "prompt": "Evaluate: 841 - 83 / (-15) - 58", "solution_steps": ["Divide: 83 / (-15) = -83/15", "Subtract: 841 - (-83/15) = 12698/15", "Subtract: 12698/15 - 58 = 11828/15"], "final_answer": "11828/15", "answer_type": "rational", "kind": "expression", "math_text": "841 - 83 / (-15) - 58", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 841, \"b\": 83, \"c\": -15, \"d\": 58}", "seed": "4769169885470651181", "semantic_fingerprint": "sha256:a7943a988ae4962df83edb949a3274dd9584a7859466d63be813dbdba042e642", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001698", "prompt": "Solve for x: 2(x + 5) + 38 = x + 54", "solution_steps": ["Expand: 2x + 10 + 38 = x + 54", "Combine constants: 2x + 48 = x + 54", "Subtract x from both sides: x + 48 = 54", "Subtract 48 from both sides: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 5) + 38 = x + 54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 38, \"e\": 54, \"x\": 6}", "seed": "4826830453276504486", "semantic_fingerprint": "sha256:a13a767eb66d78dc3e514fdd58e6e6dc189a0e56024c9b5e4ddf920c47ba1399", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001699", "prompt": "Find x: 12(x + 6) + 1 = x + 271", "solution_steps": ["Expand: 12x + 72 + 1 = x + 271", "Combine constants: 12x + 73 = x + 271", "Subtract x from both sides: 11x + 73 = 271", "Subtract 73 from both sides: 11x = 198", "Divide both sides by 11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 6) + 1 = x + 271", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 1, \"e\": 271, \"x\": 18}", "seed": "8472225209945810675", "semantic_fingerprint": "sha256:f8c0917f7469747db62a1886cbfa11dbf9eae80a563bc39c693fab12c0498dd0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001700", "prompt": "Find x: 3(x - 11) + 924 = 12(x + 75)", "solution_steps": ["Expand: 3x - 33 + 924 = 12(x + 75)", "Expand: 3x - 33 + 924 = 12x + 900", "Combine constants: 3x + 891 = 12x + 900", "Subtract 12x from both sides: -9x + 891 = 900", "Subtract 891 from both sides: -9x = 9", "Divide both sides by -9: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 11) + 924 = 12(x + 75)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11, \"c\": 12, \"d\": 75, \"f\": 924, \"x\": -1}", "seed": "14129231771004606723", "semantic_fingerprint": "sha256:4e85b2f99d108d28cafef69afaa19be37ab0c5423df5244752717bfe11b15400", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001701", "prompt": "Solve for x: 10(x + 31) - 57 = x + 8", "solution_steps": ["Expand: 10x + 310 - 57 = x + 8", "Combine constants: 10x + 253 = x + 8", "Subtract x from both sides: 9x + 253 = 8", "Subtract 253 from both sides: 9x = -245", "Divide both sides by 9: x = -245/9"], "final_answer": "-245/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 31) - 57 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 31, \"c\": 57, \"d\": 8}", "seed": "7159649842514225904", "semantic_fingerprint": "sha256:30a78e30f3cc81421b5a200b5509eb2da2dbac61a651ce0c651de7000285d577", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001702", "prompt": "What is -4 * 95 * (-9 / 26)?", "solution_steps": ["Multiply: -4 * 95 = -380", "Divide: -9 / 26 = -9/26", "Multiply: -380 * (-9/26) = 1710/13"], "final_answer": "1710/13", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 95 * (-9 / 26)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 95, \"c\": -9, \"d\": 26}", "seed": "10068186531448099414", "semantic_fingerprint": "sha256:8fa3db04b279476c5ffaeadcc79c36d2ab6344c4f433a9e2b008eab6b55ea944", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001703", "prompt": "Compute: (-93 * (-1) - (-22 - 102)) / (-8 * (-87))", "solution_steps": ["Multiply: -93 * (-1) = 93", "Subtract: -22 - 102 = -124", "Subtract: 93 - (-124) = 217", "Multiply: -8 * (-87) = 696", "Divide: 217 / 696 = 217/696"], "final_answer": "217/696", "answer_type": "rational", "kind": "expression", "math_text": "(-93 * (-1) - (-22 - 102)) / (-8 * (-87))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -1, \"c\": -22, \"d\": 102, \"e\": -8, \"f\": -87}", "seed": "1377752128909809395", "semantic_fingerprint": "sha256:6ab8bcd0c2adda20ed68bb87729bb5db6068c2a0536a78c44ddab81a814735a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001704", "prompt": "What value of x satisfies 3(x + 37) = 12(x - 46) + 798?", "solution_steps": ["Expand: 3x + 111 = 12(x - 46) + 798", "Expand: 3x + 111 = 12x - 552 + 798", "Combine constants: 3x + 111 = 12x + 246", "Subtract 12x from both sides: -9x + 111 = 246", "Subtract 111 from both sides: -9x = 135", "Divide both sides by -9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 37) = 12(x - 46) + 798", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 37, \"c\": 12, \"d\": 46, \"f\": 798, \"x\": -15}", "seed": "5098498773440700500", "semantic_fingerprint": "sha256:c39c419c0a5cd80f9bcfbed885d39668a4a8f8e1cbf7ce3d65a957c62e9eda3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001705", "prompt": "What is (-6 - (-42) - 72) * (-26)?", "solution_steps": ["Subtract: -6 - (-42) = 36", "Subtract: 36 - 72 = -36", "Multiply: -36 * (-26) = 936"], "final_answer": "936", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (-42) - 72) * (-26)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -42, \"c\": 72, \"d\": -26}", "seed": "6110245842901868809", "semantic_fingerprint": "sha256:4f899c49ec96873db4ee6f2d7481285a497c9bee45b8d6d27e1e1b4f3935f7ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001706", "prompt": "Calculate: 4 * (719 + (-90)) / (69 - 38)", "solution_steps": ["Add: 719 + (-90) = 629", "Multiply: 4 * 629 = 2516", "Subtract: 69 - 38 = 31", "Divide: 2516 / 31 = 2516/31"], "final_answer": "2516/31", "answer_type": "rational", "kind": "expression", "math_text": "4 * (719 + (-90)) / (69 - 38)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 719, \"c\": -90, \"d\": 69, \"e\": 38}", "seed": "8794738380931163463", "semantic_fingerprint": "sha256:32e65d93a64d993453360771c385d49ee259df871a700983b48b67b547b78751", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001707", "prompt": "What value of x satisfies -9(x + 9) = 4(x - 151) + 406?", "solution_steps": ["Expand: -9x - 81 = 4(x - 151) + 406", "Expand: -9x - 81 = 4x - 604 + 406", "Combine constants: -9x - 81 = 4x - 198", "Subtract 4x from both sides: -13x - 81 = -198", "Add 81 to both sides: -13x = -117", "Divide both sides by -13: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 9) = 4(x - 151) + 406", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 4, \"d\": 151, \"f\": 406, \"x\": 9}", "seed": "13129993276464404357", "semantic_fingerprint": "sha256:9b8d5df7c11f5c5423db00282b0fafd5375db521047284b86fde68e90f5858b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001708", "prompt": "What value of x satisfies -3(x - 5) - 42 = x + 45?", "solution_steps": ["Expand: -3x + 15 - 42 = x + 45", "Combine constants: -3x - 27 = x + 45", "Subtract x from both sides: -4x - 27 = 45", "Add 27 to both sides: -4x = 72", "Divide both sides by -4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 5) - 42 = x + 45", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": 42, \"e\": 45, \"x\": -18}", "seed": "12012002700696803423", "semantic_fingerprint": "sha256:bfce1894adf635caabcb83d9fd68bb85af09b7bbdf651b9c1b3242ee55f3a40e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001709", "prompt": "Solve the equation 9x - 229 = 11(x - 19) for x.", "solution_steps": ["Expand: 9x - 229 = 11x - 209", "Subtract 11x from both sides: -2x - 229 = -209", "Add 229 to both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 229 = 11(x - 19)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 19, \"e\": -229, \"x\": -10}", "seed": "14350481301363886077", "semantic_fingerprint": "sha256:8a635ec202bad8bd350d00f06ead4e57fd0bdc9f67695ea969d7475565b0c36a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001710", "prompt": "What value of x satisfies 3x - 63 = 10x - 28?", "solution_steps": ["Subtract 10x from both sides: -7x - 63 = -28", "Add 63 to both sides: -7x = 35", "Divide both sides by -7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 63 = 10x - 28", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 63, \"c\": 10, \"e\": -28, \"x\": -5}", "seed": "10617600675825608615", "semantic_fingerprint": "sha256:4ab7168859750a646fc0b0a51398bdcfd9a5bfc2bf4e46366ed35b0758a8a7b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001711", "prompt": "Evaluate: -938 / 610 * (1 / (-12))", "solution_steps": ["Divide: -938 / 610 = -469/305", "Divide: 1 / (-12) = -1/12", "Multiply: (-469/305) * (-1/12) = 469/3660"], "final_answer": "469/3660", "answer_type": "rational", "kind": "expression", "math_text": "-938 / 610 * (1 / (-12))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -938, \"b\": 610, \"c\": 1, \"d\": -12}", "seed": "2627059631666736863", "semantic_fingerprint": "sha256:4525ee4d041ccee757bbabd60b5c6447f053bc6f4474a294299582d92d5db70d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001712", "prompt": "Compute: (3 - 1) * (-62 - (29 + (-4)))", "solution_steps": ["Subtract: 3 - 1 = 2", "Add: 29 + (-4) = 25", "Subtract: -62 - 25 = -87", "Multiply: 2 * (-87) = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 1) * (-62 - (29 + (-4)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": -62, \"d\": 29, \"e\": -4}", "seed": "10985446252780893831", "semantic_fingerprint": "sha256:6141ef7c9fb8b552aadcd02a68146ca664cbb70b9ad7c53b88b15f474e28f071", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001713", "prompt": "Compute: -17 + (-6 / 45 - 92) / (-7)", "solution_steps": ["Divide: -6 / 45 = -2/15", "Subtract: -2/15 - 92 = -1382/15", "Divide: (-1382/15) / (-7) = 1382/105", "Add: -17 + 1382/105 = -403/105"], "final_answer": "-403/105", "answer_type": "rational", "kind": "expression", "math_text": "-17 + (-6 / 45 - 92) / (-7)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -6, \"c\": 45, \"d\": 92, \"e\": -7}", "seed": "1913077997631963298", "semantic_fingerprint": "sha256:23947380abb3e0168477f7079102f8b63c4d7f70e5a672944cb1cfc9be1a3194", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001714", "prompt": "What is 12 * (-4 * (-15)) * 259?", "solution_steps": ["Multiply: -4 * (-15) = 60", "Multiply: 12 * 60 = 720", "Multiply: 720 * 259 = 186480"], "final_answer": "186480", "answer_type": "integer", "kind": "expression", "math_text": "12 * (-4 * (-15)) * 259", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -4, \"c\": -15, \"d\": 259}", "seed": "10492141988595884089", "semantic_fingerprint": "sha256:062c3e92ca650d4871fedcdd47d7f9f0423400460f5e25654dbc266edf6d86e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001715", "prompt": "Compute: -45 - (275 - (-99)) + 8 - 16", "solution_steps": ["Subtract: 275 - (-99) = 374", "Subtract: -45 - 374 = -419", "Add: -419 + 8 = -411", "Subtract: -411 - 16 = -427"], "final_answer": "-427", "answer_type": "integer", "kind": "expression", "math_text": "-45 - (275 - (-99)) + 8 - 16", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 275, \"c\": -99, \"d\": 8, \"e\": 16}", "seed": "14892111305267901472", "semantic_fingerprint": "sha256:f7022da5e5ada7db50f2480faf22190fcd68d379e3dfd9b0fc08a7d157c7fea6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001716", "prompt": "Compute: (0 + 5) / ((-30 - (-43)) / (-7)) / (-68)", "solution_steps": ["Add: 0 + 5 = 5", "Subtract: -30 - (-43) = 13", "Divide: 13 / (-7) = -13/7", "Divide: 5 / (-13/7) = -35/13", "Divide: (-35/13) / (-68) = 35/884"], "final_answer": "35/884", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 5) / ((-30 - (-43)) / (-7)) / (-68)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (+ n n) (/ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": -30, \"d\": -43, \"e\": -7, \"f\": -68}", "seed": "2567908286329057483", "semantic_fingerprint": "sha256:049efe4f66d81043571432f9d2f5391c2537c5191e0ff9cf3d3bf27cc736e022", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001717", "prompt": "Calculate: (-15 - 6 + 1 + (-40)) * (-4)", "solution_steps": ["Subtract: -15 - 6 = -21", "Add: -21 + 1 = -20", "Add: -20 + (-40) = -60", "Multiply: -60 * (-4) = 240"], "final_answer": "240", "answer_type": "integer", "kind": "expression", "math_text": "(-15 - 6 + 1 + (-40)) * (-4)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 6, \"c\": 1, \"d\": -40, \"e\": -4}", "seed": "14379669763210052114", "semantic_fingerprint": "sha256:e918356b0bfc7456c3f9f400eb9edcd6bf34222a878fb1c4c3c40b5d72b39ab7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001718", "prompt": "What is -16 + ((47 + 67) * (-664) - 975)?", "solution_steps": ["Add: 47 + 67 = 114", "Multiply: 114 * (-664) = -75696", "Subtract: -75696 - 975 = -76671", "Add: -16 + (-76671) = -76687"], "final_answer": "-76687", "answer_type": "integer", "kind": "expression", "math_text": "-16 + ((47 + 67) * (-664) - 975)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 47, \"c\": 67, \"d\": -664, \"e\": 975}", "seed": "3020319452506404358", "semantic_fingerprint": "sha256:b0046df7464d01a47c49de8396e036710b225eedb62c7fa100d4773db537e64c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001719", "prompt": "Find x: 9x - 33 = 11(x - 3)", "solution_steps": ["Expand: 9x - 33 = 11x - 33", "Subtract 11x from both sides: -2x - 33 = -33", "Add 33 to both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 33 = 11(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 3, \"e\": -33, \"x\": 0}", "seed": "6096621864990807920", "semantic_fingerprint": "sha256:c3674b50753783d803e7857909f8c478c73fb7cc65bf051d8214e9890006f64a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001720", "prompt": "Solve for x: 4(x + 9) - 2 = x + 13", "solution_steps": ["Expand: 4x + 36 - 2 = x + 13", "Combine constants: 4x + 34 = x + 13", "Subtract x from both sides: 3x + 34 = 13", "Subtract 34 from both sides: 3x = -21", "Divide both sides by 3: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) - 2 = x + 13", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 2, \"e\": 13, \"x\": -7}", "seed": "15947164931909862603", "semantic_fingerprint": "sha256:d15cd82a8deb27393161fb327cbaec5fa28b49c2fa2f4ebdb817d4cf917ab8c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001721", "prompt": "What is (-32 / 82 - (-1)) * (-210 * 72) - (-4)?", "solution_steps": ["Divide: -32 / 82 = -16/41", "Subtract: -16/41 - (-1) = 25/41", "Multiply: -210 * 72 = -15120", "Multiply: (25/41) * (-15120) = -378000/41", "Subtract: -378000/41 - (-4) = -377836/41"], "final_answer": "-377836/41", "answer_type": "rational", "kind": "expression", "math_text": "(-32 / 82 - (-1)) * (-210 * 72) - (-4)", "variable": null, "family": "expression_5op", "shape": "(- (* (- (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 82, \"c\": -1, \"d\": -210, \"e\": 72, \"f\": -4}", "seed": "742266188039355112", "semantic_fingerprint": "sha256:b1358e649fe6452364f88e1e891b926a0d4a5b0938ef1e04c96358bc88ef5438", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001722", "prompt": "Solve for x: 7x = -7(x + 9) + 105", "solution_steps": ["Expand: 7x = -7x - 63 + 105", "Combine constants: 7x = -7x + 42", "Add 7x to both sides: 14x = 42", "Divide both sides by 14: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -7(x + 9) + 105", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"c\": 9, \"e\": 105, \"x\": 3}", "seed": "5547228480105908544", "semantic_fingerprint": "sha256:09c671e1f38504eeb8cd1b356d9ac320d140a9f6478828020750e6f7342ae4f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001723", "prompt": "Compute: 1 * (-679) + (-85 - 5)", "solution_steps": ["Multiply: 1 * (-679) = -679", "Subtract: -85 - 5 = -90", "Add: -679 + (-90) = -769"], "final_answer": "-769", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-679) + (-85 - 5)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -679, \"c\": -85, \"d\": 5}", "seed": "2508838323731048071", "semantic_fingerprint": "sha256:a27be1c18327d6ad6b838b7eb42a7fec196715115e12486a9d57388e41878897", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001724", "prompt": "Find x: -4(x + 3) = 12(x - 859) + 85", "solution_steps": ["Expand: -4x - 12 = 12(x - 859) + 85", "Expand: -4x - 12 = 12x - 10308 + 85", "Combine constants: -4x - 12 = 12x - 10223", "Subtract 12x from both sides: -16x - 12 = -10223", "Add 12 to both sides: -16x = -10211", "Divide both sides by -16: x = 10211/16"], "final_answer": "10211/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 3) = 12(x - 859) + 85", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 12, \"d\": 859, \"e\": 85}", "seed": "1742873434757160455", "semantic_fingerprint": "sha256:66a37e191bc8d5905774868225d181933b9cca954efc3a812c534bc3474fc874", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001725", "prompt": "Evaluate: -477 * (-96) + 0 + (-8)", "solution_steps": ["Multiply: -477 * (-96) = 45792", "Add: 45792 + 0 = 45792", "Add: 45792 + (-8) = 45784"], "final_answer": "45784", "answer_type": "integer", "kind": "expression", "math_text": "-477 * (-96) + 0 + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -477, \"b\": -96, \"c\": 0, \"d\": -8}", "seed": "14141195836835998257", "semantic_fingerprint": "sha256:057292cfd1d281e41d95e82d21bc37d7445adebb23b8a509d4dae79e4eadd56f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001726", "prompt": "Evaluate: (-28 + (-79)) * (-90 / 2 + (0 - (-9)))", "solution_steps": ["Add: -28 + (-79) = -107", "Divide: -90 / 2 = -45", "Subtract: 0 - (-9) = 9", "Add: -45 + 9 = -36", "Multiply: -107 * (-36) = 3852"], "final_answer": "3852", "answer_type": "integer", "kind": "expression", "math_text": "(-28 + (-79)) * (-90 / 2 + (0 - (-9)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -79, \"c\": -90, \"d\": 2, \"e\": 0, \"f\": -9}", "seed": "5151625130436213523", "semantic_fingerprint": "sha256:0bcb8ec5426ebd4e443aebd0d939e7b484efe4e39e76b472c4ced3224db049e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001727", "prompt": "Find x: -11(x - 478) + 27 = 12(x + 40)", "solution_steps": ["Expand: -11x + 5258 + 27 = 12(x + 40)", "Expand: -11x + 5258 + 27 = 12x + 480", "Combine constants: -11x + 5285 = 12x + 480", "Subtract 12x from both sides: -23x + 5285 = 480", "Subtract 5285 from both sides: -23x = -4805", "Divide both sides by -23: x = 4805/23"], "final_answer": "4805/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 478) + 27 = 12(x + 40)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 478, \"c\": 27, \"d\": 12, \"e\": 40}", "seed": "2696576934553830039", "semantic_fingerprint": "sha256:60fb0e887c9cec7cf315083b61226c650835040103c811c7c907f7c08b0115cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001728", "prompt": "Compute: -1 / (-220) * (-534 / 9)", "solution_steps": ["Divide: -1 / (-220) = 1/220", "Divide: -534 / 9 = -178/3", "Multiply: (1/220) * (-178/3) = -89/330"], "final_answer": "-89/330", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-220) * (-534 / 9)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -220, \"c\": -534, \"d\": 9}", "seed": "16543504748051934153", "semantic_fingerprint": "sha256:12da4d5ae96e89ada4772bd67b42aa89ed2ff9fd8bcee691f2b4fab1db2c2123", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001729", "prompt": "Evaluate: 621 / 502 / 8 + (-6 - (-7))", "solution_steps": ["Divide: 621 / 502 = 621/502", "Divide: (621/502) / 8 = 621/4016", "Subtract: -6 - (-7) = 1", "Add: 621/4016 + 1 = 4637/4016"], "final_answer": "4637/4016", "answer_type": "rational", "kind": "expression", "math_text": "621 / 502 / 8 + (-6 - (-7))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 621, \"b\": 502, \"c\": 8, \"d\": -6, \"e\": -7}", "seed": "5695544255754443472", "semantic_fingerprint": "sha256:5e76c7599945a65f9f96f33d823eb5255ee54773e29f03c7a7429cafd871a225", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001730", "prompt": "What value of x satisfies 6x - 254 = 8x - 276?", "solution_steps": ["Subtract 8x from both sides: -2x - 254 = -276", "Add 254 to both sides: -2x = -22", "Divide both sides by -2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 254 = 8x - 276", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 254, \"c\": 8, \"e\": -276, \"x\": 11}", "seed": "6288373180525223844", "semantic_fingerprint": "sha256:cb734553d00aa0bc92884082e71db6e4fa4b861a5630262d83234c7c15c8f3df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001731", "prompt": "Evaluate: (3 + (-4)) / (-19 * (-3) * (-64))", "solution_steps": ["Add: 3 + (-4) = -1", "Multiply: -19 * (-3) = 57", "Multiply: 57 * (-64) = -3648", "Divide: -1 / (-3648) = 1/3648"], "final_answer": "1/3648", "answer_type": "rational", "kind": "expression", "math_text": "(3 + (-4)) / (-19 * (-3) * (-64))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -4, \"c\": -19, \"d\": -3, \"e\": -64}", "seed": "11402161143251141247", "semantic_fingerprint": "sha256:b850447d89931790d428a1ffdf24304f22a2b99779d8265c89bd9b8aae1150b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001732", "prompt": "Solve the equation -2x = 12(x + 8) - 96 for x.", "solution_steps": ["Expand: -2x = 12x + 96 - 96", "Combine constants: -2x = 12x", "Subtract 12x from both sides: -14x = 0", "Divide both sides by -14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 12(x + 8) - 96", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"c\": 8, \"e\": -96, \"x\": 0}", "seed": "12756168136131566705", "semantic_fingerprint": "sha256:08cc6db426a0e7670dace8bb7f9c6e8091cfda3c41ff274a83a2d9357aaa99e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001733", "prompt": "Evaluate: 0 * 47 + (-30 - (-75))", "solution_steps": ["Multiply: 0 * 47 = 0", "Subtract: -30 - (-75) = 45", "Add: 0 + 45 = 45"], "final_answer": "45", "answer_type": "integer", "kind": "expression", "math_text": "0 * 47 + (-30 - (-75))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 47, \"c\": -30, \"d\": -75}", "seed": "9692562425013393008", "semantic_fingerprint": "sha256:4ae9bd4d0fe8c3c498aa5adc87b71bddd2fb684022f73d2d80ec4aa9d7e067de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001734", "prompt": "Solve the equation 10(x - 48) + 402 = 3(x + 9) for x.", "solution_steps": ["Expand: 10x - 480 + 402 = 3(x + 9)", "Expand: 10x - 480 + 402 = 3x + 27", "Combine constants: 10x - 78 = 3x + 27", "Subtract 3x from both sides: 7x - 78 = 27", "Add 78 to both sides: 7x = 105", "Divide both sides by 7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 48) + 402 = 3(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 48, \"c\": 3, \"d\": 9, \"f\": 402, \"x\": 15}", "seed": "4692645514464949268", "semantic_fingerprint": "sha256:ce06bc4fb792804ac693c1c20ecf0b4bffe4ce4117eedc5f00c7c7410a56546a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001735", "prompt": "Solve for x: 11x - 324 = 4(x - 102)", "solution_steps": ["Expand: 11x - 324 = 4x - 408", "Subtract 4x from both sides: 7x - 324 = -408", "Add 324 to both sides: 7x = -84", "Divide both sides by 7: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 324 = 4(x - 102)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 102, \"e\": -324, \"x\": -12}", "seed": "12677596259139131314", "semantic_fingerprint": "sha256:fd22d656bed61098cbd94b04b605b2cac5cefb3d837802df775242be9c341ac0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001736", "prompt": "What value of x satisfies 7x - 9 = 6x - 20?", "solution_steps": ["Subtract 6x from both sides: x - 9 = -20", "Add 9 to both sides: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 9 = 6x - 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 6, \"e\": -20, \"x\": -11}", "seed": "16477986336922569705", "semantic_fingerprint": "sha256:0f2172931f0689e0fdef07ac196d5796e847a2c74febcd5d263aa508b5e30d5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001737", "prompt": "Evaluate: -461 / (-33) * (-941 / 63)", "solution_steps": ["Divide: -461 / (-33) = 461/33", "Divide: -941 / 63 = -941/63", "Multiply: (461/33) * (-941/63) = -433801/2079"], "final_answer": "-433801/2079", "answer_type": "rational", "kind": "expression", "math_text": "-461 / (-33) * (-941 / 63)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -461, \"b\": -33, \"c\": -941, \"d\": 63}", "seed": "14100451493922783179", "semantic_fingerprint": "sha256:2063779cf8c54f38088d84b867606ded4c979b54f4d3cff497ccbfa6bf5172d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001738", "prompt": "Evaluate: 529 - 93 / 31 - (-1)", "solution_steps": ["Divide: 93 / 31 = 3", "Subtract: 529 - 3 = 526", "Subtract: 526 - (-1) = 527"], "final_answer": "527", "answer_type": "integer", "kind": "expression", "math_text": "529 - 93 / 31 - (-1)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 529, \"b\": 93, \"c\": 31, \"d\": -1}", "seed": "6253510022496676903", "semantic_fingerprint": "sha256:b1d8015708585553764483960006463e1e874841c9b8f9aeca50b1aa716a1e43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001739", "prompt": "Solve for x: 10(x + 41) + 493 = x + 867", "solution_steps": ["Expand: 10x + 410 + 493 = x + 867", "Combine constants: 10x + 903 = x + 867", "Subtract x from both sides: 9x + 903 = 867", "Subtract 903 from both sides: 9x = -36", "Divide both sides by 9: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 41) + 493 = x + 867", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 41, \"c\": 493, \"e\": 867, \"x\": -4}", "seed": "14739984404941728459", "semantic_fingerprint": "sha256:123d29974023b5c8794f396e94ec6346ad19d5d7663c2a17c6dab98fd3cf4608", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001740", "prompt": "What value of x satisfies 11(x + 7) = 5(x - 21) + 212?", "solution_steps": ["Expand: 11x + 77 = 5(x - 21) + 212", "Expand: 11x + 77 = 5x - 105 + 212", "Combine constants: 11x + 77 = 5x + 107", "Subtract 5x from both sides: 6x + 77 = 107", "Subtract 77 from both sides: 6x = 30", "Divide both sides by 6: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 7) = 5(x - 21) + 212", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 5, \"d\": 21, \"f\": 212, \"x\": 5}", "seed": "12150889173377525363", "semantic_fingerprint": "sha256:89a5f5d924657d4ef0bc94366c0bd4d26a8746d7fcc21edd79e6c7d2940efa88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001741", "prompt": "What value of x satisfies -12(x + 668) + 53 = x + 5?", "solution_steps": ["Expand: -12x - 8016 + 53 = x + 5", "Combine constants: -12x - 7963 = x + 5", "Subtract x from both sides: -13x - 7963 = 5", "Add 7963 to both sides: -13x = 7968", "Divide both sides by -13: x = -7968/13"], "final_answer": "-7968/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 668) + 53 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 668, \"c\": 53, \"d\": 5}", "seed": "11938900145564547715", "semantic_fingerprint": "sha256:47296b1e343898ab4078cc3d7654134788ae329e6e3f2938b1f14372a87e1e5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001742", "prompt": "What is 5 / (-5) / (9 / 65) + 193?", "solution_steps": ["Divide: 5 / (-5) = -1", "Divide: 9 / 65 = 9/65", "Divide: -1 / (9/65) = -65/9", "Add: -65/9 + 193 = 1672/9"], "final_answer": "1672/9", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-5) / (9 / 65) + 193", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -5, \"c\": 9, \"d\": 65, \"e\": 193}", "seed": "10688482695120293634", "semantic_fingerprint": "sha256:156c37502b37ce7a635dc8655f6d2eda7bd8246298c4db230f1087f3092add20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001743", "prompt": "What is (76 - (11 + (-245))) * (-552)?", "solution_steps": ["Add: 11 + (-245) = -234", "Subtract: 76 - (-234) = 310", "Multiply: 310 * (-552) = -171120"], "final_answer": "-171120", "answer_type": "integer", "kind": "expression", "math_text": "(76 - (11 + (-245))) * (-552)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 11, \"c\": -245, \"d\": -552}", "seed": "3840343436673283933", "semantic_fingerprint": "sha256:ebc42eea164f37d48ab9941f36714fde44cf2e3aee15bb0787bccac59a8b0af0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001744", "prompt": "What value of x satisfies 4(x + 225) + 53 = x + 929?", "solution_steps": ["Expand: 4x + 900 + 53 = x + 929", "Combine constants: 4x + 953 = x + 929", "Subtract x from both sides: 3x + 953 = 929", "Subtract 953 from both sides: 3x = -24", "Divide both sides by 3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 225) + 53 = x + 929", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 225, \"c\": 53, \"e\": 929, \"x\": -8}", "seed": "11965133366275965224", "semantic_fingerprint": "sha256:9d60eb9aa03a3ebd45e1f050801744afa2af8f8fc73edb72721d23879c8ae941", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001745", "prompt": "What value of x satisfies -10x - 4 = 9x - 194?", "solution_steps": ["Subtract 9x from both sides: -19x - 4 = -194", "Add 4 to both sides: -19x = -190", "Divide both sides by -19: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 4 = 9x - 194", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"c\": 9, \"e\": -194, \"x\": 10}", "seed": "5438368283708976716", "semantic_fingerprint": "sha256:8a0865d7d68676f13cf7f4d2f108d9a95c6b056f99afcf87105080cf1b866b2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001746", "prompt": "What is 94 - (6 + (-341 + (-56) * 961))?", "solution_steps": ["Multiply: -56 * 961 = -53816", "Add: -341 + (-53816) = -54157", "Add: 6 + (-54157) = -54151", "Subtract: 94 - (-54151) = 54245"], "final_answer": "54245", "answer_type": "integer", "kind": "expression", "math_text": "94 - (6 + (-341 + (-56) * 961))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 6, \"c\": -341, \"d\": -56, \"e\": 961}", "seed": "3528087810640719417", "semantic_fingerprint": "sha256:ac52aac51a1e9e87f3e12f485a878e79afb17e342d2e7e93c2b2e0edfb6b17ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001747", "prompt": "Calculate: (-1 - 0 - 66) * 50", "solution_steps": ["Subtract: -1 - 0 = -1", "Subtract: -1 - 66 = -67", "Multiply: -67 * 50 = -3350"], "final_answer": "-3350", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - 0 - 66) * 50", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 0, \"c\": 66, \"d\": 50}", "seed": "9020583656998347564", "semantic_fingerprint": "sha256:038ec0b882b86654fcf67af89656a892db2b95e1ceeeb02baf3e957e3c7872a4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001748", "prompt": "Find x: 12x - 760 = 10x - 782", "solution_steps": ["Subtract 10x from both sides: 2x - 760 = -782", "Add 760 to both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 760 = 10x - 782", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 760, \"c\": 10, \"e\": -782, \"x\": -11}", "seed": "10071195162136069472", "semantic_fingerprint": "sha256:a6d60b1d213b560d839f81cbc446b9bf2f8dd16ab5d0dd8e2deed8fd94aab2fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001749", "prompt": "Solve the equation 9(x + 64) + 22 = x + 510 for x.", "solution_steps": ["Expand: 9x + 576 + 22 = x + 510", "Combine constants: 9x + 598 = x + 510", "Subtract x from both sides: 8x + 598 = 510", "Subtract 598 from both sides: 8x = -88", "Divide both sides by 8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 64) + 22 = x + 510", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 64, \"c\": 22, \"e\": 510, \"x\": -11}", "seed": "7926724671352245070", "semantic_fingerprint": "sha256:b401b4332aa714e4be3b2a0a5e4f243b7839a145e4e581e7bf1333735a6dd78b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001750", "prompt": "Compute: -5 * 478 * (-33 * (66 + (-71)))", "solution_steps": ["Multiply: -5 * 478 = -2390", "Add: 66 + (-71) = -5", "Multiply: -33 * (-5) = 165", "Multiply: -2390 * 165 = -394350"], "final_answer": "-394350", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 478 * (-33 * (66 + (-71)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 478, \"c\": -33, \"d\": 66, \"e\": -71}", "seed": "498224468848355340", "semantic_fingerprint": "sha256:70b2b718b37cb3202bfd876b6fc1228763afc9f8117bb44b2794aae1dcd0bec5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001751", "prompt": "Evaluate: -45 - 52 / (-837) - 778", "solution_steps": ["Divide: 52 / (-837) = -52/837", "Subtract: -45 - (-52/837) = -37613/837", "Subtract: -37613/837 - 778 = -688799/837"], "final_answer": "-688799/837", "answer_type": "rational", "kind": "expression", "math_text": "-45 - 52 / (-837) - 778", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 52, \"c\": -837, \"d\": 778}", "seed": "11709606635600204765", "semantic_fingerprint": "sha256:321c87fdef9d92bbf950b5d638d9faa0b6ffa8153b7df12eb999e2d2923331f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001752", "prompt": "Solve for x: 7x = 12(x + 66) - 737", "solution_steps": ["Expand: 7x = 12x + 792 - 737", "Combine constants: 7x = 12x + 55", "Subtract 12x from both sides: -5x = 55", "Divide both sides by -5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 12(x + 66) - 737", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 66, \"e\": -737, \"x\": -11}", "seed": "5367425945202731741", "semantic_fingerprint": "sha256:de70ccf0500ecd6038ff6dde88fc8744979ddae5e824d835541fe7d279fc2488", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001753", "prompt": "Evaluate: 4 - (6 - 2) - (-68 + 7)", "solution_steps": ["Subtract: 6 - 2 = 4", "Subtract: 4 - 4 = 0", "Add: -68 + 7 = -61", "Subtract: 0 - (-61) = 61"], "final_answer": "61", "answer_type": "integer", "kind": "expression", "math_text": "4 - (6 - 2) - (-68 + 7)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 2, \"d\": -68, \"e\": 7}", "seed": "9077184541591812342", "semantic_fingerprint": "sha256:39e4d57a06c6a8751899b9a5ff6145f562872fb1856e3188fd76f9fc561d3a0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001754", "prompt": "What is 8 * (-4 + (5 - (-2) * 17)) / (-57)?", "solution_steps": ["Multiply: -2 * 17 = -34", "Subtract: 5 - (-34) = 39", "Add: -4 + 39 = 35", "Multiply: 8 * 35 = 280", "Divide: 280 / (-57) = -280/57"], "final_answer": "-280/57", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-4 + (5 - (-2) * 17)) / (-57)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ n (- n (* n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -4, \"c\": 5, \"d\": -2, \"e\": 17, \"f\": -57}", "seed": "2746862105531199022", "semantic_fingerprint": "sha256:ab240ecd750eb35c68e2f7b6027156625a19a9002e90afa5af158807b94fae8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001755", "prompt": "Evaluate: -96 / (-64) / (4 / (-861 - (-84)) / (-5))", "solution_steps": ["Divide: -96 / (-64) = 3/2", "Subtract: -861 - (-84) = -777", "Divide: 4 / (-777) = -4/777", "Divide: (-4/777) / (-5) = 4/3885", "Divide: (3/2) / (4/3885) = 11655/8"], "final_answer": "11655/8", "answer_type": "rational", "kind": "expression", "math_text": "-96 / (-64) / (4 / (-861 - (-84)) / (-5))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (/ (/ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -64, \"c\": 4, \"d\": -861, \"e\": -84, \"f\": -5}", "seed": "8000607824911587244", "semantic_fingerprint": "sha256:254cefa337df229276b3974019cab4772986598f84ec83f38badad1442fe6667", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001756", "prompt": "Solve for x: 9x - 1 = 12(x - 16)", "solution_steps": ["Expand: 9x - 1 = 12x - 192", "Subtract 12x from both sides: -3x - 1 = -192", "Add 1 to both sides: -3x = -191", "Divide both sides by -3: x = 191/3"], "final_answer": "191/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 1 = 12(x - 16)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 12, \"d\": 16}", "seed": "18394092757439307524", "semantic_fingerprint": "sha256:d770d72f8b687bbbf6bdaafab8192b401d0f2da4b69e8bbe518c0da7a8ec4ec3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001757", "prompt": "Solve the equation 7(x + 86) + 217 = x + 897 for x.", "solution_steps": ["Expand: 7x + 602 + 217 = x + 897", "Combine constants: 7x + 819 = x + 897", "Subtract x from both sides: 6x + 819 = 897", "Subtract 819 from both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 86) + 217 = x + 897", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 86, \"c\": 217, \"e\": 897, \"x\": 13}", "seed": "16862250914110067096", "semantic_fingerprint": "sha256:7131c67e5433f24c73b2644a9629c5a1249b28a493391a744696c9a1a524cced", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001758", "prompt": "Evaluate: (5 - (-87 + (-26))) * 3", "solution_steps": ["Add: -87 + (-26) = -113", "Subtract: 5 - (-113) = 118", "Multiply: 118 * 3 = 354"], "final_answer": "354", "answer_type": "integer", "kind": "expression", "math_text": "(5 - (-87 + (-26))) * 3", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -87, \"c\": -26, \"d\": 3}", "seed": "11741977045953415313", "semantic_fingerprint": "sha256:215ffa828f9363a4e6400a0d297ef478bc6f9ad5721fb10c1278292a464c9dfb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001759", "prompt": "Calculate: 0 / (-7 * (1 + (-703)))", "solution_steps": ["Add: 1 + (-703) = -702", "Multiply: -7 * (-702) = 4914", "Divide: 0 / 4914 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-7 * (1 + (-703)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": 1, \"d\": -703}", "seed": "11645563795892269568", "semantic_fingerprint": "sha256:c0834efedf84720a737bd51472293e516928678938f0e46059c46d2c31d5432f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001760", "prompt": "Compute: -45 * (-31 * 47) * 9", "solution_steps": ["Multiply: -31 * 47 = -1457", "Multiply: -45 * (-1457) = 65565", "Multiply: 65565 * 9 = 590085"], "final_answer": "590085", "answer_type": "integer", "kind": "expression", "math_text": "-45 * (-31 * 47) * 9", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -31, \"c\": 47, \"d\": 9}", "seed": "14616965689180425291", "semantic_fingerprint": "sha256:5d826d2c9698e1dad61aa32963524fad3fe254efff3c174717f91ae64fa588fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001761", "prompt": "Calculate: 27 * (-84 / (-7 / 41)) + (-563)", "solution_steps": ["Divide: -7 / 41 = -7/41", "Divide: -84 / (-7/41) = 492", "Multiply: 27 * 492 = 13284", "Add: 13284 + (-563) = 12721"], "final_answer": "12721", "answer_type": "integer", "kind": "expression", "math_text": "27 * (-84 / (-7 / 41)) + (-563)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -84, \"c\": -7, \"d\": 41, \"e\": -563}", "seed": "4147690075152760848", "semantic_fingerprint": "sha256:d79faf22f25b873d5c2552930e2c549f851eb9e0cbb83a8dbc25ac3aa404dcd8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001762", "prompt": "Solve for x: 5x - 9 = 8x - 27", "solution_steps": ["Subtract 8x from both sides: -3x - 9 = -27", "Add 9 to both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 9 = 8x - 27", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 8, \"e\": -27, \"x\": 6}", "seed": "5541409548838438792", "semantic_fingerprint": "sha256:bec6ce5a0469366a2ade5d32391393fc9176df185fc2811500acc0bf9e36b14a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001763", "prompt": "Find x: 10(x + 5) + 65 = x + 68", "solution_steps": ["Expand: 10x + 50 + 65 = x + 68", "Combine constants: 10x + 115 = x + 68", "Subtract x from both sides: 9x + 115 = 68", "Subtract 115 from both sides: 9x = -47", "Divide both sides by 9: x = -47/9"], "final_answer": "-47/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 5) + 65 = x + 68", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 65, \"d\": 68}", "seed": "17086803723285547778", "semantic_fingerprint": "sha256:9f5530ec2ca0d82a30e017ce2fca14e6ff6f5f2b041a36337d068e766ad8d953", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001764", "prompt": "Calculate: -18 * (-3) * (-67) - (719 - 7) / 2", "solution_steps": ["Multiply: -18 * (-3) = 54", "Multiply: 54 * (-67) = -3618", "Subtract: 719 - 7 = 712", "Divide: 712 / 2 = 356", "Subtract: -3618 - 356 = -3974"], "final_answer": "-3974", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-3) * (-67) - (719 - 7) / 2", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) n) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -3, \"c\": -67, \"d\": 719, \"e\": 7, \"f\": 2}", "seed": "8070184197103117280", "semantic_fingerprint": "sha256:3ac5e8ca17a38ea8fae904b5e88205538e64da9e39d446f28135d8c827df8686", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001765", "prompt": "Calculate: 8 * 363 + (52 - (-93))", "solution_steps": ["Multiply: 8 * 363 = 2904", "Subtract: 52 - (-93) = 145", "Add: 2904 + 145 = 3049"], "final_answer": "3049", "answer_type": "integer", "kind": "expression", "math_text": "8 * 363 + (52 - (-93))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 363, \"c\": 52, \"d\": -93}", "seed": "13307929140996296294", "semantic_fingerprint": "sha256:952186f90e3adace88ee35a06a4e33efdc0583a0dc850327cd0ff6f439be3ebc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001766", "prompt": "Solve for x: 5x - 116 = -2(x - 5)", "solution_steps": ["Expand: 5x - 116 = -2x + 10", "Add 2x to both sides: 7x - 116 = 10", "Add 116 to both sides: 7x = 126", "Divide both sides by 7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 116 = -2(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -2, \"c\": 5, \"e\": -116, \"x\": 18}", "seed": "13651036220581804381", "semantic_fingerprint": "sha256:91e8b017f624063fc77fe7da7fe5d30d0f2f0fc9ff02dc7b3dcaa6fbe0ffcb28", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001767", "prompt": "Solve the equation 8(x + 7) - 28 = x + 5 for x.", "solution_steps": ["Expand: 8x + 56 - 28 = x + 5", "Combine constants: 8x + 28 = x + 5", "Subtract x from both sides: 7x + 28 = 5", "Subtract 28 from both sides: 7x = -23", "Divide both sides by 7: x = -23/7"], "final_answer": "-23/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 7) - 28 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 28, \"d\": 5}", "seed": "13161423945895887881", "semantic_fingerprint": "sha256:e5c6011419fb976dde1c3ce411998a3dbf7921061b1c30f6eea4984b6041a37e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001768", "prompt": "Evaluate: -24 - (84 - 85) - (-813 + (-224))", "solution_steps": ["Subtract: 84 - 85 = -1", "Subtract: -24 - (-1) = -23", "Add: -813 + (-224) = -1037", "Subtract: -23 - (-1037) = 1014"], "final_answer": "1014", "answer_type": "integer", "kind": "expression", "math_text": "-24 - (84 - 85) - (-813 + (-224))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 84, \"c\": 85, \"d\": -813, \"e\": -224}", "seed": "760658998347396859", "semantic_fingerprint": "sha256:958256e135b50a0be41aaae806b77851ee13dca0c9a612cc8c243f81d516a61d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001769", "prompt": "What value of x satisfies 5x - 691 = -4x - 574?", "solution_steps": ["Add 4x to both sides: 9x - 691 = -574", "Add 691 to both sides: 9x = 117", "Divide both sides by 9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 691 = -4x - 574", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 691, \"c\": -4, \"e\": -574, \"x\": 13}", "seed": "6687303150859073830", "semantic_fingerprint": "sha256:6cdd981abb7852b2449558ec69e0323bda4bb3324c84b333104be5412186d183", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001770", "prompt": "What value of x satisfies 3(x - 324) + 885 = -9(x + 3)?", "solution_steps": ["Expand: 3x - 972 + 885 = -9(x + 3)", "Expand: 3x - 972 + 885 = -9x - 27", "Combine constants: 3x - 87 = -9x - 27", "Add 9x to both sides: 12x - 87 = -27", "Add 87 to both sides: 12x = 60", "Divide both sides by 12: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 324) + 885 = -9(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 324, \"c\": -9, \"d\": 3, \"f\": 885, \"x\": 5}", "seed": "5824453625104047046", "semantic_fingerprint": "sha256:7c68ae9ac27d66928b8898753f09c0a49d33a852ea30a036da7162e575427c02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001771", "prompt": "What value of x satisfies 4(x + 860) - 1 = x + 11?", "solution_steps": ["Expand: 4x + 3440 - 1 = x + 11", "Combine constants: 4x + 3439 = x + 11", "Subtract x from both sides: 3x + 3439 = 11", "Subtract 3439 from both sides: 3x = -3428", "Divide both sides by 3: x = -3428/3"], "final_answer": "-3428/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 860) - 1 = x + 11", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 860, \"c\": 1, \"d\": 11}", "seed": "12646512558602671437", "semantic_fingerprint": "sha256:89438133902be9ee81a2a6ebdce2998838e819762676d3b3f04ad8c9b5e8eed1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001772", "prompt": "Calculate: -97 * (-5) + 0 * (-2)", "solution_steps": ["Multiply: -97 * (-5) = 485", "Multiply: 0 * (-2) = 0", "Add: 485 + 0 = 485"], "final_answer": "485", "answer_type": "integer", "kind": "expression", "math_text": "-97 * (-5) + 0 * (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -5, \"c\": 0, \"d\": -2}", "seed": "2897523302609328632", "semantic_fingerprint": "sha256:86f8732a1bcfbf7fb93041ae65226f107b210dd483961525c668968c0074d482", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001773", "prompt": "What value of x satisfies -12x - 44 = 12x - 284?", "solution_steps": ["Subtract 12x from both sides: -24x - 44 = -284", "Add 44 to both sides: -24x = -240", "Divide both sides by -24: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 44 = 12x - 284", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 44, \"c\": 12, \"e\": -284, \"x\": 10}", "seed": "2623991961551867394", "semantic_fingerprint": "sha256:a9f987784c1a06f3f31727e4ff134354b80842838283749f2668dbb2c19cd5ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001774", "prompt": "Solve the equation -12x = 10(x + 731) - 3 for x.", "solution_steps": ["Expand: -12x = 10x + 7310 - 3", "Combine constants: -12x = 10x + 7307", "Subtract 10x from both sides: -22x = 7307", "Divide both sides by -22: x = -7307/22"], "final_answer": "-7307/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 10(x + 731) - 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 10, \"c\": 731, \"d\": 3}", "seed": "13060451030790918782", "semantic_fingerprint": "sha256:37f3f707e62630c10b0c093b7748a833c0e90fb5286c3569aa7644e3aad04747", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001775", "prompt": "Calculate: (-37 + (-2)) * (3 - (-27) + (-423))", "solution_steps": ["Add: -37 + (-2) = -39", "Subtract: 3 - (-27) = 30", "Add: 30 + (-423) = -393", "Multiply: -39 * (-393) = 15327"], "final_answer": "15327", "answer_type": "integer", "kind": "expression", "math_text": "(-37 + (-2)) * (3 - (-27) + (-423))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -2, \"c\": 3, \"d\": -27, \"e\": -423}", "seed": "2537637208470048926", "semantic_fingerprint": "sha256:ba61a2277339bf841c80c887cb630257ae7d1317dae006d0fa08add928493e80", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001776", "prompt": "Solve the equation 7x - 69 = -4x - 47 for x.", "solution_steps": ["Add 4x to both sides: 11x - 69 = -47", "Add 69 to both sides: 11x = 22", "Divide both sides by 11: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 69 = -4x - 47", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 69, \"c\": -4, \"e\": -47, \"x\": 2}", "seed": "1187220839316099331", "semantic_fingerprint": "sha256:31386b69ec2e0fc130dbdeb896fc129034cd90bcfd4591c7d74d80f475a25569", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001777", "prompt": "Find x: 10(x + 18) + 8 = x + 89", "solution_steps": ["Expand: 10x + 180 + 8 = x + 89", "Combine constants: 10x + 188 = x + 89", "Subtract x from both sides: 9x + 188 = 89", "Subtract 188 from both sides: 9x = -99", "Divide both sides by 9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 18) + 8 = x + 89", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 18, \"c\": 8, \"e\": 89, \"x\": -11}", "seed": "14450556465590142430", "semantic_fingerprint": "sha256:222d17df7fe04e0c1f49da438cc4a9172b49202ee6d21228aff9166c2795afc8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001778", "prompt": "Calculate: 401 * (0 * 57 / 61 - 633)", "solution_steps": ["Multiply: 0 * 57 = 0", "Divide: 0 / 61 = 0", "Subtract: 0 - 633 = -633", "Multiply: 401 * (-633) = -253833"], "final_answer": "-253833", "answer_type": "integer", "kind": "expression", "math_text": "401 * (0 * 57 / 61 - 633)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 401, \"b\": 0, \"c\": 57, \"d\": 61, \"e\": 633}", "seed": "17689155584300749371", "semantic_fingerprint": "sha256:97297a48633e1a0787a1b255bb33291a11d6ace0bca1ff1956d755eb9c11ea1a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001779", "prompt": "What is 64 * (-5 - 6) + 0 * (-5)?", "solution_steps": ["Subtract: -5 - 6 = -11", "Multiply: 64 * (-11) = -704", "Multiply: 0 * (-5) = 0", "Add: -704 + 0 = -704"], "final_answer": "-704", "answer_type": "integer", "kind": "expression", "math_text": "64 * (-5 - 6) + 0 * (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -5, \"c\": 6, \"d\": 0, \"e\": -5}", "seed": "12429696294938380110", "semantic_fingerprint": "sha256:0f1d95cf99d93a0a7b943cecf83f2dd3e808b8f8126c5cf1b83b0926d3e1a518", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001780", "prompt": "What is (621 - (-7)) / (-885) * (-896 - 70)?", "solution_steps": ["Subtract: 621 - (-7) = 628", "Divide: 628 / (-885) = -628/885", "Subtract: -896 - 70 = -966", "Multiply: (-628/885) * (-966) = 202216/295"], "final_answer": "202216/295", "answer_type": "rational", "kind": "expression", "math_text": "(621 - (-7)) / (-885) * (-896 - 70)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 621, \"b\": -7, \"c\": -885, \"d\": -896, \"e\": 70}", "seed": "4288719088571160798", "semantic_fingerprint": "sha256:dcd0a200732dfbda17b4ea91336b30df79dc5cb6fa174df5d73bbe336b1b5524", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001781", "prompt": "Calculate: (-3 + (-521) - (164 - 2)) * (-68 + (-1))", "solution_steps": ["Add: -3 + (-521) = -524", "Subtract: 164 - 2 = 162", "Subtract: -524 - 162 = -686", "Add: -68 + (-1) = -69", "Multiply: -686 * (-69) = 47334"], "final_answer": "47334", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + (-521) - (164 - 2)) * (-68 + (-1))", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -521, \"c\": 164, \"d\": 2, \"e\": -68, \"f\": -1}", "seed": "11138447656713320390", "semantic_fingerprint": "sha256:c58ec0d72cd69eaed0d7bb419f4af95a1fa75e4d00d650c67fa8b5161d61d668", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001782", "prompt": "Solve for x: 2x - 644 = 12(x - 47)", "solution_steps": ["Expand: 2x - 644 = 12x - 564", "Subtract 12x from both sides: -10x - 644 = -564", "Add 644 to both sides: -10x = 80", "Divide both sides by -10: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 644 = 12(x - 47)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 47, \"e\": -644, \"x\": -8}", "seed": "5697709559827463507", "semantic_fingerprint": "sha256:0b7bec7e30af9d7199a703110d0c727059937f56a8e99c2571ba85f668f8799c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001783", "prompt": "Evaluate: 3 / (-294) * 888 - (-9) * (-5)", "solution_steps": ["Divide: 3 / (-294) = -1/98", "Multiply: (-1/98) * 888 = -444/49", "Multiply: -9 * (-5) = 45", "Subtract: -444/49 - 45 = -2649/49"], "final_answer": "-2649/49", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-294) * 888 - (-9) * (-5)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -294, \"c\": 888, \"d\": -9, \"e\": -5}", "seed": "9662766361329310890", "semantic_fingerprint": "sha256:3927b8a1e9aece2cd1d3ca706f25f3c5f2e86f3698a54ae7c37be8a647345d92", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001784", "prompt": "Solve the equation -11x - 52 = -12x - 55 for x.", "solution_steps": ["Add 12x to both sides: x - 52 = -55", "Add 52 to both sides: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 52 = -12x - 55", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 52, \"c\": -12, \"e\": -55, \"x\": -3}", "seed": "16902006162179653729", "semantic_fingerprint": "sha256:4b157d5480f073ccd51ee58f57c5e3ac1b9f1648f461f2e4adc12ac9c8b85a12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001785", "prompt": "What is 659 * 238 + (-1) + 11?", "solution_steps": ["Multiply: 659 * 238 = 156842", "Add: 156842 + (-1) = 156841", "Add: 156841 + 11 = 156852"], "final_answer": "156852", "answer_type": "integer", "kind": "expression", "math_text": "659 * 238 + (-1) + 11", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 659, \"b\": 238, \"c\": -1, \"d\": 11}", "seed": "15805784699498560272", "semantic_fingerprint": "sha256:5b03eb9729109b84c4d63f4aa004935a94a5055113313f3e4b34d2964c80582c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001786", "prompt": "Evaluate: (-2 * (-2) + 0) * (98 * (2 * (-255)))", "solution_steps": ["Multiply: -2 * (-2) = 4", "Add: 4 + 0 = 4", "Multiply: 2 * (-255) = -510", "Multiply: 98 * (-510) = -49980", "Multiply: 4 * (-49980) = -199920"], "final_answer": "-199920", "answer_type": "integer", "kind": "expression", "math_text": "(-2 * (-2) + 0) * (98 * (2 * (-255)))", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) n) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": 0, \"d\": 98, \"e\": 2, \"f\": -255}", "seed": "4807216218007550743", "semantic_fingerprint": "sha256:dc7b76be33f14d1edc77be9f1e8fcb47fc3e5aab18920d9f4c50f33b4b48acea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001787", "prompt": "Solve the equation 11(x + 4) + 3 = x + 87 for x.", "solution_steps": ["Expand: 11x + 44 + 3 = x + 87", "Combine constants: 11x + 47 = x + 87", "Subtract x from both sides: 10x + 47 = 87", "Subtract 47 from both sides: 10x = 40", "Divide both sides by 10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 4) + 3 = x + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 3, \"e\": 87, \"x\": 4}", "seed": "4400836414692485669", "semantic_fingerprint": "sha256:05efe7fa4a89bb09ec74dbc2fa7caf079d98485ad792de159a084cfcab3b83fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001788", "prompt": "What is 44 * (-75 * (0 * 3)) / (-98)?", "solution_steps": ["Multiply: 0 * 3 = 0", "Multiply: -75 * 0 = 0", "Multiply: 44 * 0 = 0", "Divide: 0 / (-98) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "44 * (-75 * (0 * 3)) / (-98)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -75, \"c\": 0, \"d\": 3, \"e\": -98}", "seed": "11124478892812836455", "semantic_fingerprint": "sha256:28db95f3c10b7e30243bb66f9f881aa77bc4011e0e6eebdf9a281fd1e229f13d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001789", "prompt": "Calculate: -3 / (87 + 24 + (269 + (-978)))", "solution_steps": ["Add: 87 + 24 = 111", "Add: 269 + (-978) = -709", "Add: 111 + (-709) = -598", "Divide: -3 / (-598) = 3/598"], "final_answer": "3/598", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (87 + 24 + (269 + (-978)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 87, \"c\": 24, \"d\": 269, \"e\": -978}", "seed": "3779080988476594759", "semantic_fingerprint": "sha256:181d721e1c6575932b3d6c7bcc8546ad692d73e6239d7fb71baaa89f5f34d7e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001790", "prompt": "Find x: 5(x - 9) + 280 = 3(x + 65)", "solution_steps": ["Expand: 5x - 45 + 280 = 3(x + 65)", "Expand: 5x - 45 + 280 = 3x + 195", "Combine constants: 5x + 235 = 3x + 195", "Subtract 3x from both sides: 2x + 235 = 195", "Subtract 235 from both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 9) + 280 = 3(x + 65)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 3, \"d\": 65, \"f\": 280, \"x\": -20}", "seed": "7363970622407869756", "semantic_fingerprint": "sha256:7af2fe2376ecfaeb687f0cbe4dcf75e478beda7993fae0f70efaa0ccd2316502", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001791", "prompt": "Compute: (14 + 841) / (-12 + (-518))", "solution_steps": ["Add: 14 + 841 = 855", "Add: -12 + (-518) = -530", "Divide: 855 / (-530) = -171/106"], "final_answer": "-171/106", "answer_type": "rational", "kind": "expression", "math_text": "(14 + 841) / (-12 + (-518))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 841, \"c\": -12, \"d\": -518}", "seed": "13031761888409440750", "semantic_fingerprint": "sha256:5d117908148df3208e973df9511ed1f19310adaa6aad31b62b01b0bc9375c360", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001792", "prompt": "Solve for x: 4(x + 4) - 30 = x + 19", "solution_steps": ["Expand: 4x + 16 - 30 = x + 19", "Combine constants: 4x - 14 = x + 19", "Subtract x from both sides: 3x - 14 = 19", "Add 14 to both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 4) - 30 = x + 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 30, \"e\": 19, \"x\": 11}", "seed": "5093331608704418870", "semantic_fingerprint": "sha256:acf3b0ad6f59ca1a3ba79fe7cf1a8351f271eb4367fbce04adc483ee3607d832", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001793", "prompt": "What value of x satisfies 3(x - 18) - 483 = x + 20?", "solution_steps": ["Expand: 3x - 54 - 483 = x + 20", "Combine constants: 3x - 537 = x + 20", "Subtract x from both sides: 2x - 537 = 20", "Add 537 to both sides: 2x = 557", "Divide both sides by 2: x = 557/2"], "final_answer": "557/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 18) - 483 = x + 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 18, \"c\": 483, \"d\": 20}", "seed": "11745888529908441466", "semantic_fingerprint": "sha256:708a32979f7fdf7014f968fbd5bc0b2772ad8b9111d06dbf71584db533394edc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001794", "prompt": "What is (-271 / 960 - 3) * (0 / (-632))?", "solution_steps": ["Divide: -271 / 960 = -271/960", "Subtract: -271/960 - 3 = -3151/960", "Divide: 0 / (-632) = 0", "Multiply: (-3151/960) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-271 / 960 - 3) * (0 / (-632))", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -271, \"b\": 960, \"c\": 3, \"d\": 0, \"e\": -632}", "seed": "10068205838053702808", "semantic_fingerprint": "sha256:0b83ace2de8336dfdf773479f2c3b21525335b62715d56a8939691d842b7dfd8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001795", "prompt": "Calculate: -19 * 0 + 561 * (-40)", "solution_steps": ["Multiply: -19 * 0 = 0", "Multiply: 561 * (-40) = -22440", "Add: 0 + (-22440) = -22440"], "final_answer": "-22440", "answer_type": "integer", "kind": "expression", "math_text": "-19 * 0 + 561 * (-40)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 0, \"c\": 561, \"d\": -40}", "seed": "11205398809655364324", "semantic_fingerprint": "sha256:9629e557948690b75844be20f1249c1c66d64661b0525067af1d9e839fb51290", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001796", "prompt": "Solve the equation 4(x + 61) = -4(x - 1) + 128 for x.", "solution_steps": ["Expand: 4x + 244 = -4(x - 1) + 128", "Expand: 4x + 244 = -4x + 4 + 128", "Combine constants: 4x + 244 = -4x + 132", "Add 4x to both sides: 8x + 244 = 132", "Subtract 244 from both sides: 8x = -112", "Divide both sides by 8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 61) = -4(x - 1) + 128", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 61, \"c\": -4, \"d\": 1, \"f\": 128, \"x\": -14}", "seed": "5689147729363052224", "semantic_fingerprint": "sha256:2ec7530f170422d3fcbf3d82e6465d26e5aceeffafa2eb3f51de933faba7c686", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001797", "prompt": "Solve the equation -12x = -7(x + 773) - 9 for x.", "solution_steps": ["Expand: -12x = -7x - 5411 - 9", "Combine constants: -12x = -7x - 5420", "Add 7x to both sides: -5x = -5420", "Divide both sides by -5: x = 1084"], "final_answer": "1084", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = -7(x + 773) - 9", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -7, \"c\": 773, \"d\": 9}", "seed": "9180016098274627560", "semantic_fingerprint": "sha256:e50fac839786bcefa89d2817cff9b229309f3b8f1ca42e0a6daae9ee3c0786db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001798", "prompt": "Calculate: -98 * (-4) - (8 + 87) - 99", "solution_steps": ["Multiply: -98 * (-4) = 392", "Add: 8 + 87 = 95", "Subtract: 392 - 95 = 297", "Subtract: 297 - 99 = 198"], "final_answer": "198", "answer_type": "integer", "kind": "expression", "math_text": "-98 * (-4) - (8 + 87) - 99", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -4, \"c\": 8, \"d\": 87, \"e\": 99}", "seed": "12522890136010016095", "semantic_fingerprint": "sha256:b48f63408ebd4dd97e1f5688aa5084a6c4e094d163de76beabd35c5c2b839136", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001799", "prompt": "Find x: 3(x - 6) + 15 = 12(x + 5)", "solution_steps": ["Expand: 3x - 18 + 15 = 12(x + 5)", "Expand: 3x - 18 + 15 = 12x + 60", "Combine constants: 3x - 3 = 12x + 60", "Subtract 12x from both sides: -9x - 3 = 60", "Add 3 to both sides: -9x = 63", "Divide both sides by -9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 6) + 15 = 12(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 12, \"d\": 5, \"f\": 15, \"x\": -7}", "seed": "17686373752049764447", "semantic_fingerprint": "sha256:51c229adb2c130d49e4dfccd04eb22f6f1625be81e71695e1d5c453791b3aa4f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001800", "prompt": "Evaluate: -11 - (5 + (-222) + 7) * (-76)", "solution_steps": ["Add: 5 + (-222) = -217", "Add: -217 + 7 = -210", "Multiply: -210 * (-76) = 15960", "Subtract: -11 - 15960 = -15971"], "final_answer": "-15971", "answer_type": "integer", "kind": "expression", "math_text": "-11 - (5 + (-222) + 7) * (-76)", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": -222, \"d\": 7, \"e\": -76}", "seed": "9942069703788588689", "semantic_fingerprint": "sha256:40b263d29bb3a5c31ab30788975c15b34d7f6273889869cc561634b6b412503c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001801", "prompt": "What is (57 - (3 + (-94))) / (767 + 6 + 47)?", "solution_steps": ["Add: 3 + (-94) = -91", "Subtract: 57 - (-91) = 148", "Add: 767 + 6 = 773", "Add: 773 + 47 = 820", "Divide: 148 / 820 = 37/205"], "final_answer": "37/205", "answer_type": "rational", "kind": "expression", "math_text": "(57 - (3 + (-94))) / (767 + 6 + 47)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 3, \"c\": -94, \"d\": 767, \"e\": 6, \"f\": 47}", "seed": "12906885931664851941", "semantic_fingerprint": "sha256:e70580c59f50c247d20f6d1785869f1ac90e9eff2e3078663ed9db24a2c3bb76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001802", "prompt": "What is (22 - (-8) - (-692)) * 1?", "solution_steps": ["Subtract: 22 - (-8) = 30", "Subtract: 30 - (-692) = 722", "Multiply: 722 * 1 = 722"], "final_answer": "722", "answer_type": "integer", "kind": "expression", "math_text": "(22 - (-8) - (-692)) * 1", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -8, \"c\": -692, \"d\": 1}", "seed": "8466513244145442923", "semantic_fingerprint": "sha256:4234177687c77a0547e4f342e9772b95e95ed9b71bfb1ee3ca807e2693fb0b18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001803", "prompt": "What is (-953 - (-44) - 1) * (-738)?", "solution_steps": ["Subtract: -953 - (-44) = -909", "Subtract: -909 - 1 = -910", "Multiply: -910 * (-738) = 671580"], "final_answer": "671580", "answer_type": "integer", "kind": "expression", "math_text": "(-953 - (-44) - 1) * (-738)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -953, \"b\": -44, \"c\": 1, \"d\": -738}", "seed": "13379337230914360157", "semantic_fingerprint": "sha256:907730ea136a494199f6fb445a4bf3c559aae9b27b9f4501be9a43839a45a642", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001804", "prompt": "Solve the equation -4(x - 35) - 6 = x + 59 for x.", "solution_steps": ["Expand: -4x + 140 - 6 = x + 59", "Combine constants: -4x + 134 = x + 59", "Subtract x from both sides: -5x + 134 = 59", "Subtract 134 from both sides: -5x = -75", "Divide both sides by -5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 35) - 6 = x + 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 35, \"c\": 6, \"e\": 59, \"x\": 15}", "seed": "2920097120943752911", "semantic_fingerprint": "sha256:ba2e9affc6a6e3fc51a835c8df4c51d72e11f0bf361382a2a0c8c585f673ff70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001805", "prompt": "What is (-6 + (-6)) / (-33 * 92 * 23)?", "solution_steps": ["Add: -6 + (-6) = -12", "Multiply: -33 * 92 = -3036", "Multiply: -3036 * 23 = -69828", "Divide: -12 / (-69828) = 1/5819"], "final_answer": "1/5819", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-6)) / (-33 * 92 * 23)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -6, \"c\": -33, \"d\": 92, \"e\": 23}", "seed": "16568666831825956208", "semantic_fingerprint": "sha256:7a0c2c7113b299780baf4b3d2b969be3db77770601c10e296a6062309da4fa5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001806", "prompt": "Solve for x: 12(x + 4) = 8(x - 92) + 712", "solution_steps": ["Expand: 12x + 48 = 8(x - 92) + 712", "Expand: 12x + 48 = 8x - 736 + 712", "Combine constants: 12x + 48 = 8x - 24", "Subtract 8x from both sides: 4x + 48 = -24", "Subtract 48 from both sides: 4x = -72", "Divide both sides by 4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 4) = 8(x - 92) + 712", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 8, \"d\": 92, \"f\": 712, \"x\": -18}", "seed": "914039012672424147", "semantic_fingerprint": "sha256:f17a586f7839a1c80488165e8fec6d83060121acf3d4a7fdbd553bb4bbb125ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001807", "prompt": "Compute: -7 / (-7) / (33 + (-758) / (-254))", "solution_steps": ["Divide: -7 / (-7) = 1", "Divide: -758 / (-254) = 379/127", "Add: 33 + 379/127 = 4570/127", "Divide: 1 / (4570/127) = 127/4570"], "final_answer": "127/4570", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-7) / (33 + (-758) / (-254))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -7, \"c\": 33, \"d\": -758, \"e\": -254}", "seed": "148180383209036620", "semantic_fingerprint": "sha256:fe273c4ba6f1e4045ac89afe9b72282116a02a106d9f5d0bc8c9f03a6e71e49c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001808", "prompt": "Solve the equation 11(x + 62) - 76 = x + 486 for x.", "solution_steps": ["Expand: 11x + 682 - 76 = x + 486", "Combine constants: 11x + 606 = x + 486", "Subtract x from both sides: 10x + 606 = 486", "Subtract 606 from both sides: 10x = -120", "Divide both sides by 10: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 62) - 76 = x + 486", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 62, \"c\": 76, \"e\": 486, \"x\": -12}", "seed": "14259360704478737362", "semantic_fingerprint": "sha256:8f01f2fb9c1037b5aa6ef81712414dbc3fdc9d660d83da97cf998b7f64ad5716", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001809", "prompt": "Find x: 12x - 54 = 9x - 1", "solution_steps": ["Subtract 9x from both sides: 3x - 54 = -1", "Add 54 to both sides: 3x = 53", "Divide both sides by 3: x = 53/3"], "final_answer": "53/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 54 = 9x - 1", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 54, \"c\": 9, \"d\": 1}", "seed": "2554402854549671477", "semantic_fingerprint": "sha256:b1ccd5671a8803c24838ef50fedaaeef096d54dd3c6bb82f655852c46a58e48f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001810", "prompt": "What value of x satisfies 4(x + 95) - 65 = x + 351?", "solution_steps": ["Expand: 4x + 380 - 65 = x + 351", "Combine constants: 4x + 315 = x + 351", "Subtract x from both sides: 3x + 315 = 351", "Subtract 315 from both sides: 3x = 36", "Divide both sides by 3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 95) - 65 = x + 351", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 95, \"c\": 65, \"e\": 351, \"x\": 12}", "seed": "10441714371648316104", "semantic_fingerprint": "sha256:b624a8b97115d4d42bcbdd305d4f280b0114812f4ef70eeb330e7f3d2cd3131e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001811", "prompt": "What is (-990 + (-830)) * 0 * 6 - (-79) * 82?", "solution_steps": ["Add: -990 + (-830) = -1820", "Multiply: -1820 * 0 = 0", "Multiply: 0 * 6 = 0", "Multiply: -79 * 82 = -6478", "Subtract: 0 - (-6478) = 6478"], "final_answer": "6478", "answer_type": "integer", "kind": "expression", "math_text": "(-990 + (-830)) * 0 * 6 - (-79) * 82", "variable": null, "family": "expression_5op", "shape": "(- (* (* (+ n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -990, \"b\": -830, \"c\": 0, \"d\": 6, \"e\": -79, \"f\": 82}", "seed": "799253859727548166", "semantic_fingerprint": "sha256:c43e8763c4a352ca47dd8980a72f48ead2442acf03e16b38f7c8f58b19cbe63d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001812", "prompt": "Compute: (-49 - (-55)) * (997 / (-69)) - 11", "solution_steps": ["Subtract: -49 - (-55) = 6", "Divide: 997 / (-69) = -997/69", "Multiply: 6 * (-997/69) = -1994/23", "Subtract: -1994/23 - 11 = -2247/23"], "final_answer": "-2247/23", "answer_type": "rational", "kind": "expression", "math_text": "(-49 - (-55)) * (997 / (-69)) - 11", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -55, \"c\": 997, \"d\": -69, \"e\": 11}", "seed": "1555269564072290573", "semantic_fingerprint": "sha256:23b41c6167bdbb199918210e94c6b4d80f673c9b0a6df8a78558b5974c20dd18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001813", "prompt": "Find x: -8(x - 39) - 118 = x + 131", "solution_steps": ["Expand: -8x + 312 - 118 = x + 131", "Combine constants: -8x + 194 = x + 131", "Subtract x from both sides: -9x + 194 = 131", "Subtract 194 from both sides: -9x = -63", "Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 39) - 118 = x + 131", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 39, \"c\": 118, \"e\": 131, \"x\": 7}", "seed": "14837632897503068126", "semantic_fingerprint": "sha256:efdd2c2a1a0c7bf0a6e0776a7fde1d2ca9df427cf60aa3db13c008d4e0a4f3c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001814", "prompt": "What value of x satisfies -9x - 240 = 10(x - 5)?", "solution_steps": ["Expand: -9x - 240 = 10x - 50", "Subtract 10x from both sides: -19x - 240 = -50", "Add 240 to both sides: -19x = 190", "Divide both sides by -19: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 240 = 10(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 10, \"c\": 5, \"e\": -240, \"x\": -10}", "seed": "8171034850323665233", "semantic_fingerprint": "sha256:7780fb19cf25f760b4ac08fcb1b8be6b60cd3b8a9ec1d5332c1e742b52093499", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001815", "prompt": "Solve for x: -9x - 75 = -5x - 8", "solution_steps": ["Add 5x to both sides: -4x - 75 = -8", "Add 75 to both sides: -4x = 67", "Divide both sides by -4: x = -67/4"], "final_answer": "-67/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 75 = -5x - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 75, \"c\": -5, \"d\": 8}", "seed": "10302996487219462189", "semantic_fingerprint": "sha256:612b0bb6660da2372c37fb2b3dc7f9be6fbea0f76a85c2fbd5c9cafd2c03404e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001816", "prompt": "Solve for x: 11(x + 89) = 8(x - 2) + 941", "solution_steps": ["Expand: 11x + 979 = 8(x - 2) + 941", "Expand: 11x + 979 = 8x - 16 + 941", "Combine constants: 11x + 979 = 8x + 925", "Subtract 8x from both sides: 3x + 979 = 925", "Subtract 979 from both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 89) = 8(x - 2) + 941", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 89, \"c\": 8, \"d\": 2, \"f\": 941, \"x\": -18}", "seed": "17304053025107863369", "semantic_fingerprint": "sha256:79ed38073b0258f8470e2178ea299fd188ea6fd28840d88e7b634d88d9d2a67e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001817", "prompt": "Solve the equation -10(x + 540) + 90 = x + 17 for x.", "solution_steps": ["Expand: -10x - 5400 + 90 = x + 17", "Combine constants: -10x - 5310 = x + 17", "Subtract x from both sides: -11x - 5310 = 17", "Add 5310 to both sides: -11x = 5327", "Divide both sides by -11: x = -5327/11"], "final_answer": "-5327/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 540) + 90 = x + 17", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 540, \"c\": 90, \"d\": 17}", "seed": "3375877462813459752", "semantic_fingerprint": "sha256:703bef85ba24f61d89893d1d59bcbd6fe46f64fb567782b0e191082127ec2399", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001818", "prompt": "What value of x satisfies 11(x - 32) - 3 = x + 968?", "solution_steps": ["Expand: 11x - 352 - 3 = x + 968", "Combine constants: 11x - 355 = x + 968", "Subtract x from both sides: 10x - 355 = 968", "Add 355 to both sides: 10x = 1323", "Divide both sides by 10: x = 1323/10"], "final_answer": "1323/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 32) - 3 = x + 968", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 32, \"c\": 3, \"d\": 968}", "seed": "5576254163159288844", "semantic_fingerprint": "sha256:7591303d48519632dd11fa0cc5df5ad5cf5b508435965afabde7033fc923364e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001819", "prompt": "Compute: 18 * (650 * (-40)) + (-724)", "solution_steps": ["Multiply: 650 * (-40) = -26000", "Multiply: 18 * (-26000) = -468000", "Add: -468000 + (-724) = -468724"], "final_answer": "-468724", "answer_type": "integer", "kind": "expression", "math_text": "18 * (650 * (-40)) + (-724)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 650, \"c\": -40, \"d\": -724}", "seed": "7016942601322011586", "semantic_fingerprint": "sha256:13f9841e252349845ad346814c95e664bd7defba24b2236b45488effdc9b0183", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001820", "prompt": "Solve for x: 8(x + 79) + 50 = x + 626", "solution_steps": ["Expand: 8x + 632 + 50 = x + 626", "Combine constants: 8x + 682 = x + 626", "Subtract x from both sides: 7x + 682 = 626", "Subtract 682 from both sides: 7x = -56", "Divide both sides by 7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 79) + 50 = x + 626", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 79, \"c\": 50, \"e\": 626, \"x\": -8}", "seed": "10181441533682167282", "semantic_fingerprint": "sha256:8d9a685aa35d9557db8c8b530d6e9f899706d2d84e745728fb5b39cea4cebe1d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001821", "prompt": "Evaluate: -696 / (-2) * (-177 / 8)", "solution_steps": ["Divide: -696 / (-2) = 348", "Divide: -177 / 8 = -177/8", "Multiply: 348 * (-177/8) = -15399/2"], "final_answer": "-15399/2", "answer_type": "rational", "kind": "expression", "math_text": "-696 / (-2) * (-177 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -696, \"b\": -2, \"c\": -177, \"d\": 8}", "seed": "4808443963431846814", "semantic_fingerprint": "sha256:71d1f12bdf77e1b07bb94b73e9f93449b9814b4e3c4dd19cc6d59a4e46c962ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001822", "prompt": "Compute: 0 / (0 - 81 + 6 * (-6)) + (-7)", "solution_steps": ["Subtract: 0 - 81 = -81", "Multiply: 6 * (-6) = -36", "Add: -81 + (-36) = -117", "Divide: 0 / (-117) = 0", "Add: 0 + (-7) = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "0 / (0 - 81 + 6 * (-6)) + (-7)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ (- n n) (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 81, \"d\": 6, \"e\": -6, \"f\": -7}", "seed": "9787877192736260624", "semantic_fingerprint": "sha256:cccf33f21df4c70c4894813f4cadae8e374f910987c7353f05c33edfc75c28d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001823", "prompt": "Evaluate: -8 - (-56) * (-7 / 2)", "solution_steps": ["Divide: -7 / 2 = -7/2", "Multiply: -56 * (-7/2) = 196", "Subtract: -8 - 196 = -204"], "final_answer": "-204", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-56) * (-7 / 2)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -56, \"c\": -7, \"d\": 2}", "seed": "10882807956541304038", "semantic_fingerprint": "sha256:d3cface866a117e86eaeb9968c95a5041da2fb9ab55a68510017de0a5f616912", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001824", "prompt": "Evaluate: (50 - (-816) * 95) / (74 / 7 + 49)", "solution_steps": ["Multiply: -816 * 95 = -77520", "Subtract: 50 - (-77520) = 77570", "Divide: 74 / 7 = 74/7", "Add: 74/7 + 49 = 417/7", "Divide: 77570 / (417/7) = 542990/417"], "final_answer": "542990/417", "answer_type": "rational", "kind": "expression", "math_text": "(50 - (-816) * 95) / (74 / 7 + 49)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -816, \"c\": 95, \"d\": 74, \"e\": 7, \"f\": 49}", "seed": "8591680316042446131", "semantic_fingerprint": "sha256:3243eaa9c64cec999c82fea2fc295fde999f0f8d536db552b53d381c32ce4701", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001825", "prompt": "Compute: (0 - 20) / (-53) * (-8 / 53)", "solution_steps": ["Subtract: 0 - 20 = -20", "Divide: -20 / (-53) = 20/53", "Divide: -8 / 53 = -8/53", "Multiply: (20/53) * (-8/53) = -160/2809"], "final_answer": "-160/2809", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 20) / (-53) * (-8 / 53)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 20, \"c\": -53, \"d\": -8, \"e\": 53}", "seed": "10944682154419339412", "semantic_fingerprint": "sha256:cbfcc1cc45c8b83aadb3adc74b12adca0df41298e7529d46fdf6eee329eebef2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001826", "prompt": "Evaluate: 43 / (13 + (-96)) / (65 / (-49)) * (-80)", "solution_steps": ["Add: 13 + (-96) = -83", "Divide: 43 / (-83) = -43/83", "Divide: 65 / (-49) = -65/49", "Divide: (-43/83) / (-65/49) = 2107/5395", "Multiply: (2107/5395) * (-80) = -33712/1079"], "final_answer": "-33712/1079", "answer_type": "rational", "kind": "expression", "math_text": "43 / (13 + (-96)) / (65 / (-49)) * (-80)", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n (+ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 13, \"c\": -96, \"d\": 65, \"e\": -49, \"f\": -80}", "seed": "3927522050252091820", "semantic_fingerprint": "sha256:39dd7449eba9418a9e002fd4bba44c28657914548c8e331ec3b1252974ba3dbe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001827", "prompt": "Compute: 62 / (-25) * (671 - (-93) - 41)", "solution_steps": ["Divide: 62 / (-25) = -62/25", "Subtract: 671 - (-93) = 764", "Subtract: 764 - 41 = 723", "Multiply: (-62/25) * 723 = -44826/25"], "final_answer": "-44826/25", "answer_type": "rational", "kind": "expression", "math_text": "62 / (-25) * (671 - (-93) - 41)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -25, \"c\": 671, \"d\": -93, \"e\": 41}", "seed": "14540912890370049320", "semantic_fingerprint": "sha256:43600a402d2878503cdc340deb5545cdb7a16451a1fb1cd67c508402f23c8be3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001828", "prompt": "Evaluate: 2 + (-83 - (466 + (-2)))", "solution_steps": ["Add: 466 + (-2) = 464", "Subtract: -83 - 464 = -547", "Add: 2 + (-547) = -545"], "final_answer": "-545", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-83 - (466 + (-2)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -83, \"c\": 466, \"d\": -2}", "seed": "8154280019623883704", "semantic_fingerprint": "sha256:90411d7934bdc0f3b3bb179a8b84c7bf19fa332caf8f0525e5186a1dbddaa3ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001829", "prompt": "Calculate: -1 + (-50) - (-266) + (574 * (-310) + (-43))", "solution_steps": ["Add: -1 + (-50) = -51", "Subtract: -51 - (-266) = 215", "Multiply: 574 * (-310) = -177940", "Add: -177940 + (-43) = -177983", "Add: 215 + (-177983) = -177768"], "final_answer": "-177768", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-50) - (-266) + (574 * (-310) + (-43))", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -50, \"c\": -266, \"d\": 574, \"e\": -310, \"f\": -43}", "seed": "13259886113572130387", "semantic_fingerprint": "sha256:369cf4d990b7bcb983e0e44af4db00e58a5d59661cb0bb11d1e2f19fd23b2e2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001830", "prompt": "What value of x satisfies 10(x - 89) + 7 = 4(x + 3)?", "solution_steps": ["Expand: 10x - 890 + 7 = 4(x + 3)", "Expand: 10x - 890 + 7 = 4x + 12", "Combine constants: 10x - 883 = 4x + 12", "Subtract 4x from both sides: 6x - 883 = 12", "Add 883 to both sides: 6x = 895", "Divide both sides by 6: x = 895/6"], "final_answer": "895/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 89) + 7 = 4(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 89, \"c\": 7, \"d\": 4, \"e\": 3}", "seed": "16938554236838466869", "semantic_fingerprint": "sha256:7e184c3b6767b5660f95c3ab8b613cf78fa27182b5e2b1830ca23f9aed038b2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001831", "prompt": "Compute: 381 * 385 - 213 + (2 + 357) * 9", "solution_steps": ["Multiply: 381 * 385 = 146685", "Subtract: 146685 - 213 = 146472", "Add: 2 + 357 = 359", "Multiply: 359 * 9 = 3231", "Add: 146472 + 3231 = 149703"], "final_answer": "149703", "answer_type": "integer", "kind": "expression", "math_text": "381 * 385 - 213 + (2 + 357) * 9", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 381, \"b\": 385, \"c\": 213, \"d\": 2, \"e\": 357, \"f\": 9}", "seed": "4287703585432438989", "semantic_fingerprint": "sha256:483b16458182fcc7ebfb7e6cdeef3e63a9861bfe1b260cf0bdce65f7fbedf16f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001832", "prompt": "Calculate: -42 * ((0 - (-6)) / (-402 / (-82 + 74)))", "solution_steps": ["Subtract: 0 - (-6) = 6", "Add: -82 + 74 = -8", "Divide: -402 / (-8) = 201/4", "Divide: 6 / (201/4) = 8/67", "Multiply: -42 * (8/67) = -336/67"], "final_answer": "-336/67", "answer_type": "rational", "kind": "expression", "math_text": "-42 * ((0 - (-6)) / (-402 / (-82 + 74)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- n n) (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 0, \"c\": -6, \"d\": -402, \"e\": -82, \"f\": 74}", "seed": "13803245353674258385", "semantic_fingerprint": "sha256:a176eaddbd7520f376dc18354589f042235dac45f5b0d5cc0aeef0b040bea747", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001833", "prompt": "Solve for x: 5x - 503 = -11x - 727", "solution_steps": ["Add 11x to both sides: 16x - 503 = -727", "Add 503 to both sides: 16x = -224", "Divide both sides by 16: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 503 = -11x - 727", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 503, \"c\": -11, \"e\": -727, \"x\": -14}", "seed": "2020684579405329380", "semantic_fingerprint": "sha256:d48c587700fd0131f67dd824c5e239b6e613c4a206d900df9651b4fc42006404", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001834", "prompt": "Evaluate: 69 * (-6 * 856) + (-57)", "solution_steps": ["Multiply: -6 * 856 = -5136", "Multiply: 69 * (-5136) = -354384", "Add: -354384 + (-57) = -354441"], "final_answer": "-354441", "answer_type": "integer", "kind": "expression", "math_text": "69 * (-6 * 856) + (-57)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -6, \"c\": 856, \"d\": -57}", "seed": "16908549982464722873", "semantic_fingerprint": "sha256:8805489ac1f9fad89a19a0949ec00410a44c167c4efdc3a4d9812f67db7499b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001835", "prompt": "What value of x satisfies -3(x + 8) + 77 = x + 9?", "solution_steps": ["Expand: -3x - 24 + 77 = x + 9", "Combine constants: -3x + 53 = x + 9", "Subtract x from both sides: -4x + 53 = 9", "Subtract 53 from both sides: -4x = -44", "Divide both sides by -4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 8) + 77 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 77, \"e\": 9, \"x\": 11}", "seed": "11135096814496838199", "semantic_fingerprint": "sha256:2a773937995b2b39c12198dd60fd75512d39db9c24ba615ab7a099ed97f292c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001836", "prompt": "What is (-83 + 62) / (9 * (-7) * 60)?", "solution_steps": ["Add: -83 + 62 = -21", "Multiply: 9 * (-7) = -63", "Multiply: -63 * 60 = -3780", "Divide: -21 / (-3780) = 1/180"], "final_answer": "1/180", "answer_type": "rational", "kind": "expression", "math_text": "(-83 + 62) / (9 * (-7) * 60)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 62, \"c\": 9, \"d\": -7, \"e\": 60}", "seed": "10703346493015551644", "semantic_fingerprint": "sha256:22b205c474c2ac0f7166d541f2d315166290f1a5b792121ebf8de48bc13e470c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001837", "prompt": "Solve for x: 3(x + 5) + 704 = x + 737", "solution_steps": ["Expand: 3x + 15 + 704 = x + 737", "Combine constants: 3x + 719 = x + 737", "Subtract x from both sides: 2x + 719 = 737", "Subtract 719 from both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 5) + 704 = x + 737", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 704, \"e\": 737, \"x\": 9}", "seed": "4966607795889558440", "semantic_fingerprint": "sha256:ca6eb9e959b7c673b459f3d196ffb590e56e3a082033453df60591f52cd00854", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001838", "prompt": "Evaluate: (13 - 925 - 9) * 48", "solution_steps": ["Subtract: 13 - 925 = -912", "Subtract: -912 - 9 = -921", "Multiply: -921 * 48 = -44208"], "final_answer": "-44208", "answer_type": "integer", "kind": "expression", "math_text": "(13 - 925 - 9) * 48", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 925, \"c\": 9, \"d\": 48}", "seed": "7395797615775368399", "semantic_fingerprint": "sha256:85a9a4bdc29429590068241516ab23509acb0b65cd99a24ed572f99a66f2533c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001839", "prompt": "What value of x satisfies -9(x + 474) - 49 = x + 85?", "solution_steps": ["Expand: -9x - 4266 - 49 = x + 85", "Combine constants: -9x - 4315 = x + 85", "Subtract x from both sides: -10x - 4315 = 85", "Add 4315 to both sides: -10x = 4400", "Divide both sides by -10: x = -440"], "final_answer": "-440", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 474) - 49 = x + 85", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 474, \"c\": 49, \"d\": 85}", "seed": "11456589846293092000", "semantic_fingerprint": "sha256:5632cf4560d901ea04451c1a979df844656e28147fd84199b35ff4d7d6a8d353", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001840", "prompt": "What is -78 * (-94) + (-8 + (-8)) / 88?", "solution_steps": ["Multiply: -78 * (-94) = 7332", "Add: -8 + (-8) = -16", "Divide: -16 / 88 = -2/11", "Add: 7332 + (-2/11) = 80650/11"], "final_answer": "80650/11", "answer_type": "rational", "kind": "expression", "math_text": "-78 * (-94) + (-8 + (-8)) / 88", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -94, \"c\": -8, \"d\": -8, \"e\": 88}", "seed": "10923844185021268202", "semantic_fingerprint": "sha256:462a3ddf03213c93b3fbdfd63f75711ea5b795941925076abe41703eeae5163f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001841", "prompt": "Evaluate: -2 * (-59) / (-832 / (-63 / 35)) / (-4)", "solution_steps": ["Multiply: -2 * (-59) = 118", "Divide: -63 / 35 = -9/5", "Divide: -832 / (-9/5) = 4160/9", "Divide: 118 / (4160/9) = 531/2080", "Divide: (531/2080) / (-4) = -531/8320"], "final_answer": "-531/8320", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-59) / (-832 / (-63 / 35)) / (-4)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) (/ n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -59, \"c\": -832, \"d\": -63, \"e\": 35, \"f\": -4}", "seed": "16025978168262621521", "semantic_fingerprint": "sha256:6c6ccc0c3af82182c85194609d014a2a538a7ecb2d184bbef7ce92146688a6f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001842", "prompt": "Compute: (-188 + 8) / (-24 + 70)", "solution_steps": ["Add: -188 + 8 = -180", "Add: -24 + 70 = 46", "Divide: -180 / 46 = -90/23"], "final_answer": "-90/23", "answer_type": "rational", "kind": "expression", "math_text": "(-188 + 8) / (-24 + 70)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -188, \"b\": 8, \"c\": -24, \"d\": 70}", "seed": "4761850906981312595", "semantic_fingerprint": "sha256:b459f973c791444afc0f390e16bc9142d7057bf9fb91622d44eea9ed47ecba6c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001843", "prompt": "What is (3 - (-88) - 631) * 99?", "solution_steps": ["Subtract: 3 - (-88) = 91", "Subtract: 91 - 631 = -540", "Multiply: -540 * 99 = -53460"], "final_answer": "-53460", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (-88) - 631) * 99", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -88, \"c\": 631, \"d\": 99}", "seed": "18331085700415225483", "semantic_fingerprint": "sha256:5920659aef8dc3233e813d45636717f7412a4247dd873a4e6fd5f3630d6015bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001844", "prompt": "Compute: -3 * 3 - (-19) / (-57) / (-4 * 91)", "solution_steps": ["Multiply: -3 * 3 = -9", "Divide: -19 / (-57) = 1/3", "Multiply: -4 * 91 = -364", "Divide: (1/3) / (-364) = -1/1092", "Subtract: -9 - (-1/1092) = -9827/1092"], "final_answer": "-9827/1092", "answer_type": "rational", "kind": "expression", "math_text": "-3 * 3 - (-19) / (-57) / (-4 * 91)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (/ (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": -19, \"d\": -57, \"e\": -4, \"f\": 91}", "seed": "5198096726345606434", "semantic_fingerprint": "sha256:52e6b0733f50d460a72a8cc6f67be7d21cd5e5fd673a3ffd2ee13f6a9170eb80", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001845", "prompt": "Find x: 12x - 107 = 11(x - 8)", "solution_steps": ["Expand: 12x - 107 = 11x - 88", "Subtract 11x from both sides: x - 107 = -88", "Add 107 to both sides: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 107 = 11(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 11, \"c\": 8, \"e\": -107, \"x\": 19}", "seed": "8406598999285167536", "semantic_fingerprint": "sha256:5423096c72517b680c9ad5afd967cf148ccc11e7a4c755a68ce97d19a66d6c59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001846", "prompt": "Solve for x: -11(x - 682) - 61 = x + 511", "solution_steps": ["Expand: -11x + 7502 - 61 = x + 511", "Combine constants: -11x + 7441 = x + 511", "Subtract x from both sides: -12x + 7441 = 511", "Subtract 7441 from both sides: -12x = -6930", "Divide both sides by -12: x = 1155/2"], "final_answer": "1155/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 682) - 61 = x + 511", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 682, \"c\": 61, \"d\": 511}", "seed": "3436002361808139003", "semantic_fingerprint": "sha256:d9de23e5b3f544d38f9a2fd33e999eaeeffad3cc2c4ffa101ea43d7dc101c2e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001847", "prompt": "Calculate: (-85 - 5) / 4 + (1 + 381)", "solution_steps": ["Subtract: -85 - 5 = -90", "Divide: -90 / 4 = -45/2", "Add: 1 + 381 = 382", "Add: -45/2 + 382 = 719/2"], "final_answer": "719/2", "answer_type": "rational", "kind": "expression", "math_text": "(-85 - 5) / 4 + (1 + 381)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 5, \"c\": 4, \"d\": 1, \"e\": 381}", "seed": "5051154542206753999", "semantic_fingerprint": "sha256:b2d59184d902aceb622d4f4658b1a1c43c1a291e30ca2c2eca91708539739b89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001848", "prompt": "Compute: 428 * (729 / (-3 - (-12))) - (-47)", "solution_steps": ["Subtract: -3 - (-12) = 9", "Divide: 729 / 9 = 81", "Multiply: 428 * 81 = 34668", "Subtract: 34668 - (-47) = 34715"], "final_answer": "34715", "answer_type": "integer", "kind": "expression", "math_text": "428 * (729 / (-3 - (-12))) - (-47)", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 428, \"b\": 729, \"c\": -3, \"d\": -12, \"e\": -47}", "seed": "11305721456342411431", "semantic_fingerprint": "sha256:83b5b42a45e2ec2de87497c0c5b77fff12ab6f50f8b7f705dca0977aada0201c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001849", "prompt": "Solve the equation 11x - 19 = -9x - 199 for x.", "solution_steps": ["Add 9x to both sides: 20x - 19 = -199", "Add 19 to both sides: 20x = -180", "Divide both sides by 20: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 19 = -9x - 199", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 19, \"c\": -9, \"e\": -199, \"x\": -9}", "seed": "13820644185532383877", "semantic_fingerprint": "sha256:6b336f953ffcbedc530a22d443040cd75ab3ac8500cb9a33c4bca1bf80fdadc5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001850", "prompt": "Compute: -9 * (-1 * 7) + (-27)", "solution_steps": ["Multiply: -1 * 7 = -7", "Multiply: -9 * (-7) = 63", "Add: 63 + (-27) = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-1 * 7) + (-27)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": 7, \"d\": -27}", "seed": "3641192601055200353", "semantic_fingerprint": "sha256:e925f60af574f349bca45cd0e4df8e2239e9e5d879bf9959dfc15bc2a8fbcb0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001851", "prompt": "Compute: 8 + (-2) * (749 * (-3)) * 66", "solution_steps": ["Multiply: 749 * (-3) = -2247", "Multiply: -2 * (-2247) = 4494", "Multiply: 4494 * 66 = 296604", "Add: 8 + 296604 = 296612"], "final_answer": "296612", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-2) * (749 * (-3)) * 66", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": 749, \"d\": -3, \"e\": 66}", "seed": "16882214568604841773", "semantic_fingerprint": "sha256:9a8ed73a059b8fd2aba8f81e559ebfbcb677f9c96c9ffcb72ecebb4956b3060f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001852", "prompt": "Solve the equation -12x - 600 = 6(x - 82) for x.", "solution_steps": ["Expand: -12x - 600 = 6x - 492", "Subtract 6x from both sides: -18x - 600 = -492", "Add 600 to both sides: -18x = 108", "Divide both sides by -18: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 600 = 6(x - 82)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"c\": 82, \"e\": -600, \"x\": -6}", "seed": "5426970032107402302", "semantic_fingerprint": "sha256:0474200c24a5ad5dde932594331ae30656d2df95b24fe56cf95673278e32405c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001853", "prompt": "Solve for x: 7(x + 43) = 10(x - 12) + 409", "solution_steps": ["Expand: 7x + 301 = 10(x - 12) + 409", "Expand: 7x + 301 = 10x - 120 + 409", "Combine constants: 7x + 301 = 10x + 289", "Subtract 10x from both sides: -3x + 301 = 289", "Subtract 301 from both sides: -3x = -12", "Divide both sides by -3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 43) = 10(x - 12) + 409", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 43, \"c\": 10, \"d\": 12, \"f\": 409, \"x\": 4}", "seed": "668891328580767213", "semantic_fingerprint": "sha256:4f864c4ca0bdd50729d5ae5fe411a44f193766fcf8ea162f41899ffd7aede0a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001854", "prompt": "Calculate: (-5 - (-80 + 7)) * (-4)", "solution_steps": ["Add: -80 + 7 = -73", "Subtract: -5 - (-73) = 68", "Multiply: 68 * (-4) = -272"], "final_answer": "-272", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - (-80 + 7)) * (-4)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -80, \"c\": 7, \"d\": -4}", "seed": "8181970966135927798", "semantic_fingerprint": "sha256:1c65dd998f5e25ac8271449033eea00b0c28909882d8abf026b5dcaa5a273e95", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001855", "prompt": "Calculate: 77 * (-4) * (-93 / (8 - 625))", "solution_steps": ["Multiply: 77 * (-4) = -308", "Subtract: 8 - 625 = -617", "Divide: -93 / (-617) = 93/617", "Multiply: -308 * (93/617) = -28644/617"], "final_answer": "-28644/617", "answer_type": "rational", "kind": "expression", "math_text": "77 * (-4) * (-93 / (8 - 625))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -4, \"c\": -93, \"d\": 8, \"e\": 625}", "seed": "1300654201875505513", "semantic_fingerprint": "sha256:a9fc4729b514d563da605fac4b5f834cee98e4f3a541ab5778c9188ae4ec2ef9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001856", "prompt": "Solve the equation 10(x + 3) = -10(x - 48) + 5 for x.", "solution_steps": ["Expand: 10x + 30 = -10(x - 48) + 5", "Expand: 10x + 30 = -10x + 480 + 5", "Combine constants: 10x + 30 = -10x + 485", "Add 10x to both sides: 20x + 30 = 485", "Subtract 30 from both sides: 20x = 455", "Divide both sides by 20: x = 91/4"], "final_answer": "91/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 3) = -10(x - 48) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": -10, \"d\": 48, \"e\": 5}", "seed": "10096875228711900000", "semantic_fingerprint": "sha256:52ab78fc8c095408a8c548d7290bd5d5c98ed7b2b811fcd356c0c8055431bd76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001857", "prompt": "Solve for x: 2x - 89 = -7x - 107", "solution_steps": ["Add 7x to both sides: 9x - 89 = -107", "Add 89 to both sides: 9x = -18", "Divide both sides by 9: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 89 = -7x - 107", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 89, \"c\": -7, \"e\": -107, \"x\": -2}", "seed": "5952638390639789280", "semantic_fingerprint": "sha256:e9f892295777024946de4e29a852a11837c79145753da9d5bd38b1337745be76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001858", "prompt": "What is -47 / (-7) * (46 * 87) / 206?", "solution_steps": ["Divide: -47 / (-7) = 47/7", "Multiply: 46 * 87 = 4002", "Multiply: (47/7) * 4002 = 188094/7", "Divide: (188094/7) / 206 = 94047/721"], "final_answer": "94047/721", "answer_type": "rational", "kind": "expression", "math_text": "-47 / (-7) * (46 * 87) / 206", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": -7, \"c\": 46, \"d\": 87, \"e\": 206}", "seed": "6009556831269909074", "semantic_fingerprint": "sha256:0ef81e1f3728156dbf7ddbffb810cb7df7aeb0c307b71f9d6f494fcd351cb9aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001859", "prompt": "What value of x satisfies -6(x + 62) = -7(x - 270) + 5?", "solution_steps": ["Expand: -6x - 372 = -7(x - 270) + 5", "Expand: -6x - 372 = -7x + 1890 + 5", "Combine constants: -6x - 372 = -7x + 1895", "Add 7x to both sides: x - 372 = 1895", "Add 372 to both sides: x = 2267"], "final_answer": "2267", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 62) = -7(x - 270) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 62, \"c\": -7, \"d\": 270, \"e\": 5}", "seed": "2892795677075686634", "semantic_fingerprint": "sha256:98fd3a362be2e97fa175ee761be80afaad7aeef27e6104021c774abe386c37bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001860", "prompt": "Solve the equation 11(x + 20) = 9(x - 15) + 8 for x.", "solution_steps": ["Expand: 11x + 220 = 9(x - 15) + 8", "Expand: 11x + 220 = 9x - 135 + 8", "Combine constants: 11x + 220 = 9x - 127", "Subtract 9x from both sides: 2x + 220 = -127", "Subtract 220 from both sides: 2x = -347", "Divide both sides by 2: x = -347/2"], "final_answer": "-347/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 20) = 9(x - 15) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 20, \"c\": 9, \"d\": 15, \"e\": 8}", "seed": "13440309278205235057", "semantic_fingerprint": "sha256:c960d95e6049cf37fdab523fdb85014d73bf7b326508cefd628c10b1a354b74d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001861", "prompt": "Evaluate: (-300 / (-1) - (-64)) * (-17)", "solution_steps": ["Divide: -300 / (-1) = 300", "Subtract: 300 - (-64) = 364", "Multiply: 364 * (-17) = -6188"], "final_answer": "-6188", "answer_type": "integer", "kind": "expression", "math_text": "(-300 / (-1) - (-64)) * (-17)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -300, \"b\": -1, \"c\": -64, \"d\": -17}", "seed": "4507429494055008294", "semantic_fingerprint": "sha256:6f618d83f686d3fb7285211ee32b620378065082afd72eaff10bc1b779d9a783", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001862", "prompt": "What is 77 / (-53) / 55 - (-34)?", "solution_steps": ["Divide: 77 / (-53) = -77/53", "Divide: (-77/53) / 55 = -7/265", "Subtract: -7/265 - (-34) = 9003/265"], "final_answer": "9003/265", "answer_type": "rational", "kind": "expression", "math_text": "77 / (-53) / 55 - (-34)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -53, \"c\": 55, \"d\": -34}", "seed": "1048052746959552206", "semantic_fingerprint": "sha256:c5e85039285e10e8ec982cfaf404293610b8966a0f17eb2aeb33e388a9d1827b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001863", "prompt": "What is (0 + (-743 - 7)) * (50 / (360 * 77))?", "solution_steps": ["Subtract: -743 - 7 = -750", "Add: 0 + (-750) = -750", "Multiply: 360 * 77 = 27720", "Divide: 50 / 27720 = 5/2772", "Multiply: -750 * (5/2772) = -625/462"], "final_answer": "-625/462", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-743 - 7)) * (50 / (360 * 77))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- n n)) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -743, \"c\": 7, \"d\": 50, \"e\": 360, \"f\": 77}", "seed": "14669789221403879739", "semantic_fingerprint": "sha256:e39a93a4ef849ce506d7d4dd820086e779757a65b9bcd1760af1638545dac95d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001864", "prompt": "Solve the equation 11(x + 46) - 94 = x + 232 for x.", "solution_steps": ["Expand: 11x + 506 - 94 = x + 232", "Combine constants: 11x + 412 = x + 232", "Subtract x from both sides: 10x + 412 = 232", "Subtract 412 from both sides: 10x = -180", "Divide both sides by 10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 46) - 94 = x + 232", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 46, \"c\": 94, \"e\": 232, \"x\": -18}", "seed": "17074089679420813852", "semantic_fingerprint": "sha256:4578cee4fe45aa5330ea69cb56ac189afe12d6da93c26126f0a80067087e0a07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001865", "prompt": "Compute: 63 * (-4) + (-258) * 987", "solution_steps": ["Multiply: 63 * (-4) = -252", "Multiply: -258 * 987 = -254646", "Add: -252 + (-254646) = -254898"], "final_answer": "-254898", "answer_type": "integer", "kind": "expression", "math_text": "63 * (-4) + (-258) * 987", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -4, \"c\": -258, \"d\": 987}", "seed": "2090632006116019681", "semantic_fingerprint": "sha256:c8bf9c4b0e4dd484b682b56d3cdcdf457a0943497464bb8365478c1b033cdf36", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001866", "prompt": "What is (-53 - (4 - (-852))) * (665 + (-38))?", "solution_steps": ["Subtract: 4 - (-852) = 856", "Subtract: -53 - 856 = -909", "Add: 665 + (-38) = 627", "Multiply: -909 * 627 = -569943"], "final_answer": "-569943", "answer_type": "integer", "kind": "expression", "math_text": "(-53 - (4 - (-852))) * (665 + (-38))", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 4, \"c\": -852, \"d\": 665, \"e\": -38}", "seed": "14963908231779842424", "semantic_fingerprint": "sha256:3b8e18d383c60dc966af991c66d9b9f4854023e2f181a3cbd97128ec309d1879", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001867", "prompt": "Evaluate: (80 - (-60)) * 34 + (-91) + (-880)", "solution_steps": ["Subtract: 80 - (-60) = 140", "Multiply: 140 * 34 = 4760", "Add: 4760 + (-91) = 4669", "Add: 4669 + (-880) = 3789"], "final_answer": "3789", "answer_type": "integer", "kind": "expression", "math_text": "(80 - (-60)) * 34 + (-91) + (-880)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -60, \"c\": 34, \"d\": -91, \"e\": -880}", "seed": "6178334935505815070", "semantic_fingerprint": "sha256:a165be8ef3733b5605be29c595da4bbdb2ed1f9b80227380a5b34fe8861d9a0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001868", "prompt": "Solve the equation 3x - 16 = 2(x - 2) for x.", "solution_steps": ["Expand: 3x - 16 = 2x - 4", "Subtract 2x from both sides: x - 16 = -4", "Add 16 to both sides: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 16 = 2(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 2, \"e\": -16, \"x\": 12}", "seed": "8814594424462971273", "semantic_fingerprint": "sha256:558087ed786bad2af1072feea7fa3cee3590c3a072b4c8e278f0b1e7a77a45e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001869", "prompt": "Calculate: 1 - (-35 + (-6 / (-610) - (-3) / (-3)))", "solution_steps": ["Divide: -6 / (-610) = 3/305", "Divide: -3 / (-3) = 1", "Subtract: 3/305 - 1 = -302/305", "Add: -35 + (-302/305) = -10977/305", "Subtract: 1 - (-10977/305) = 11282/305"], "final_answer": "11282/305", "answer_type": "rational", "kind": "expression", "math_text": "1 - (-35 + (-6 / (-610) - (-3) / (-3)))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (- (/ n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -35, \"c\": -6, \"d\": -610, \"e\": -3, \"f\": -3}", "seed": "3678238249165617293", "semantic_fingerprint": "sha256:69067d716d5a9f5cfedb4f05cefbe14159ffd93167620997f93e3596d2ce30e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001870", "prompt": "Evaluate: -8 + (-4) - (-92 + (-1) / (-336)) - 900", "solution_steps": ["Add: -8 + (-4) = -12", "Divide: -1 / (-336) = 1/336", "Add: -92 + 1/336 = -30911/336", "Subtract: -12 - (-30911/336) = 26879/336", "Subtract: 26879/336 - 900 = -275521/336"], "final_answer": "-275521/336", "answer_type": "rational", "kind": "expression", "math_text": "-8 + (-4) - (-92 + (-1) / (-336)) - 900", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (+ n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -4, \"c\": -92, \"d\": -1, \"e\": -336, \"f\": 900}", "seed": "6067046243680895726", "semantic_fingerprint": "sha256:3eeb41610a7a91e9c0633190370313aa0431c6bef557ce232c37525874c087ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001871", "prompt": "Calculate: -88 / (-6) + (6 - (-902 + (-324)))", "solution_steps": ["Divide: -88 / (-6) = 44/3", "Add: -902 + (-324) = -1226", "Subtract: 6 - (-1226) = 1232", "Add: 44/3 + 1232 = 3740/3"], "final_answer": "3740/3", "answer_type": "rational", "kind": "expression", "math_text": "-88 / (-6) + (6 - (-902 + (-324)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -6, \"c\": 6, \"d\": -902, \"e\": -324}", "seed": "15080727311402350545", "semantic_fingerprint": "sha256:ff3f532ee214fe083cb1d3e977092d6cdfcd9ede3c60c5afcd8e8f355de6877e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001872", "prompt": "What is (-906 + (-3)) / (681 + 9)?", "solution_steps": ["Add: -906 + (-3) = -909", "Add: 681 + 9 = 690", "Divide: -909 / 690 = -303/230"], "final_answer": "-303/230", "answer_type": "rational", "kind": "expression", "math_text": "(-906 + (-3)) / (681 + 9)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -906, \"b\": -3, \"c\": 681, \"d\": 9}", "seed": "797041229205745843", "semantic_fingerprint": "sha256:1c92ca49a05acd27f36539ecd5883c37150f6a8cf5463f67875084b3b42257e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001873", "prompt": "Compute: -800 - (31 + (5 - (-157))) * 547", "solution_steps": ["Subtract: 5 - (-157) = 162", "Add: 31 + 162 = 193", "Multiply: 193 * 547 = 105571", "Subtract: -800 - 105571 = -106371"], "final_answer": "-106371", "answer_type": "integer", "kind": "expression", "math_text": "-800 - (31 + (5 - (-157))) * 547", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -800, \"b\": 31, \"c\": 5, \"d\": -157, \"e\": 547}", "seed": "6926854274524287994", "semantic_fingerprint": "sha256:b0c7911d3195bd20ecb02a24ec9931eb62ac9e20f9476add2c958e90182a8164", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001874", "prompt": "Calculate: 8 + (7 - 10) + 4", "solution_steps": ["Subtract: 7 - 10 = -3", "Add: 8 + (-3) = 5", "Add: 5 + 4 = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "8 + (7 - 10) + 4", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 10, \"d\": 4}", "seed": "11975132003331794998", "semantic_fingerprint": "sha256:f61f88ca0f8e7bef93587c0baa24fd6dbd2f208cc6f4b6d798fc528a8f428050", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001875", "prompt": "Compute: (9 + (-72)) / (-7 / (-67) + 88)", "solution_steps": ["Add: 9 + (-72) = -63", "Divide: -7 / (-67) = 7/67", "Add: 7/67 + 88 = 5903/67", "Divide: -63 / (5903/67) = -4221/5903"], "final_answer": "-4221/5903", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-72)) / (-7 / (-67) + 88)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -72, \"c\": -7, \"d\": -67, \"e\": 88}", "seed": "2716304153305695067", "semantic_fingerprint": "sha256:9e1ae2a18c88f7ca1bc86080c2fcb8eebd94ffc3fc950a119094027680df9fdd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001876", "prompt": "Compute: (98 + (-84)) * (1 - 377 + (-78))", "solution_steps": ["Add: 98 + (-84) = 14", "Subtract: 1 - 377 = -376", "Add: -376 + (-78) = -454", "Multiply: 14 * (-454) = -6356"], "final_answer": "-6356", "answer_type": "integer", "kind": "expression", "math_text": "(98 + (-84)) * (1 - 377 + (-78))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -84, \"c\": 1, \"d\": 377, \"e\": -78}", "seed": "13109355425268572731", "semantic_fingerprint": "sha256:1d408c317aa1bc70cf32f9c4e5b20a70a50d13906f75089c07d0ff448f0a3158", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001877", "prompt": "Compute: 23 * (1 + (-78) * 5)", "solution_steps": ["Multiply: -78 * 5 = -390", "Add: 1 + (-390) = -389", "Multiply: 23 * (-389) = -8947"], "final_answer": "-8947", "answer_type": "integer", "kind": "expression", "math_text": "23 * (1 + (-78) * 5)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 1, \"c\": -78, \"d\": 5}", "seed": "7739830095985954914", "semantic_fingerprint": "sha256:5ef39b21cbf636605453fa259207416ee8c27165c474535dc46c93b28c9e166f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001878", "prompt": "Compute: 88 - (-44) * (-715 / 41)", "solution_steps": ["Divide: -715 / 41 = -715/41", "Multiply: -44 * (-715/41) = 31460/41", "Subtract: 88 - 31460/41 = -27852/41"], "final_answer": "-27852/41", "answer_type": "rational", "kind": "expression", "math_text": "88 - (-44) * (-715 / 41)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -44, \"c\": -715, \"d\": 41}", "seed": "14804575850185683982", "semantic_fingerprint": "sha256:46af9d8501ab0b8f803d13435a9f3edd33ebcbae597db7e79d5b77612c1138b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001879", "prompt": "Compute: -461 * (-9) - (-2 - 844 / 3)", "solution_steps": ["Multiply: -461 * (-9) = 4149", "Divide: 844 / 3 = 844/3", "Subtract: -2 - 844/3 = -850/3", "Subtract: 4149 - (-850/3) = 13297/3"], "final_answer": "13297/3", "answer_type": "rational", "kind": "expression", "math_text": "-461 * (-9) - (-2 - 844 / 3)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -461, \"b\": -9, \"c\": -2, \"d\": 844, \"e\": 3}", "seed": "3779367277358357923", "semantic_fingerprint": "sha256:bf194fdbabde1324f779c49d169cbab187570dccab28708fae53302c14bc2794", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001880", "prompt": "Solve the equation 4x - 8 = 8(x - 2) for x.", "solution_steps": ["Expand: 4x - 8 = 8x - 16", "Subtract 8x from both sides: -4x - 8 = -16", "Add 8 to both sides: -4x = -8", "Divide both sides by -4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 8 = 8(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 2, \"e\": -8, \"x\": 2}", "seed": "16142904997094250639", "semantic_fingerprint": "sha256:4f3e271f11d933cf6a662ce9781a7018bff1c0a20246aa4a4ab6e3f3730eb0b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001881", "prompt": "Find x: 10(x + 4) + 57 = x + 9", "solution_steps": ["Expand: 10x + 40 + 57 = x + 9", "Combine constants: 10x + 97 = x + 9", "Subtract x from both sides: 9x + 97 = 9", "Subtract 97 from both sides: 9x = -88", "Divide both sides by 9: x = -88/9"], "final_answer": "-88/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 4) + 57 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 57, \"d\": 9}", "seed": "4923972278612658436", "semantic_fingerprint": "sha256:23e649d10cd52bf5dfa0646d341f8c0c7e8db4be8f09309f779a238e1c19b413", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001882", "prompt": "Find x: 11x = 12(x + 9) - 116", "solution_steps": ["Expand: 11x = 12x + 108 - 116", "Combine constants: 11x = 12x - 8", "Subtract 12x from both sides: -x = -8", "Divide both sides by -1: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 12(x + 9) - 116", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 12, \"c\": 9, \"e\": -116, \"x\": 8}", "seed": "1374252132149675133", "semantic_fingerprint": "sha256:5b0da0f6a32ef80add2e63789beed2c183dc937f2ac42cdd7f2c950d076b6fec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001883", "prompt": "What is (80 + 2 * (-9)) / 6 + (-9)?", "solution_steps": ["Multiply: 2 * (-9) = -18", "Add: 80 + (-18) = 62", "Divide: 62 / 6 = 31/3", "Add: 31/3 + (-9) = 4/3"], "final_answer": "4/3", "answer_type": "rational", "kind": "expression", "math_text": "(80 + 2 * (-9)) / 6 + (-9)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 2, \"c\": -9, \"d\": 6, \"e\": -9}", "seed": "12085595181000894236", "semantic_fingerprint": "sha256:dc32626daee37f97ac75d63f7087ea020aa4a3d19b120d267d046def9ba3106d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001884", "prompt": "What is -3 * 650 * (37 / (-6))?", "solution_steps": ["Multiply: -3 * 650 = -1950", "Divide: 37 / (-6) = -37/6", "Multiply: -1950 * (-37/6) = 12025"], "final_answer": "12025", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 650 * (37 / (-6))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 650, \"c\": 37, \"d\": -6}", "seed": "1013315326928444143", "semantic_fingerprint": "sha256:01002bc5a8ecd58071715624320aea19a22b6aa8d2cab44be12675e3beed2373", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001885", "prompt": "What value of x satisfies -5(x + 76) + 901 = x + 641?", "solution_steps": ["Expand: -5x - 380 + 901 = x + 641", "Combine constants: -5x + 521 = x + 641", "Subtract x from both sides: -6x + 521 = 641", "Subtract 521 from both sides: -6x = 120", "Divide both sides by -6: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 76) + 901 = x + 641", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 76, \"c\": 901, \"e\": 641, \"x\": -20}", "seed": "3975754562894500537", "semantic_fingerprint": "sha256:3d2c23583b861e356de6f1f0055ca2e09fe0e847998f523758d281a60840a666", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001886", "prompt": "Solve for x: -11(x - 3) - 3 = x + 114", "solution_steps": ["Expand: -11x + 33 - 3 = x + 114", "Combine constants: -11x + 30 = x + 114", "Subtract x from both sides: -12x + 30 = 114", "Subtract 30 from both sides: -12x = 84", "Divide both sides by -12: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 3) - 3 = x + 114", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3, \"c\": 3, \"e\": 114, \"x\": -7}", "seed": "3832684506127273881", "semantic_fingerprint": "sha256:1394737fb8c9b8096af1f1169bb513ee8e59ed3039ef858425680ed09a0f032b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001887", "prompt": "Find x: 6(x + 57) + 68 = x + 445", "solution_steps": ["Expand: 6x + 342 + 68 = x + 445", "Combine constants: 6x + 410 = x + 445", "Subtract x from both sides: 5x + 410 = 445", "Subtract 410 from both sides: 5x = 35", "Divide both sides by 5: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 57) + 68 = x + 445", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 57, \"c\": 68, \"e\": 445, \"x\": 7}", "seed": "6572475867622993623", "semantic_fingerprint": "sha256:32ef0f033191e8071ebdda0fe14347d78f7c2cf23ef5043ac15c93c5aaf0167f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001888", "prompt": "Solve the equation 4(x + 6) - 3 = x + 4 for x.", "solution_steps": ["Expand: 4x + 24 - 3 = x + 4", "Combine constants: 4x + 21 = x + 4", "Subtract x from both sides: 3x + 21 = 4", "Subtract 21 from both sides: 3x = -17", "Divide both sides by 3: x = -17/3"], "final_answer": "-17/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 6) - 3 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 3, \"d\": 4}", "seed": "2686838163684644313", "semantic_fingerprint": "sha256:81e46cbc1cb46fae1d8a5c08226491090c62b625b0941b61f155cec1fda7c4f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001889", "prompt": "What is -119 + 68 * 9 - (-254 + (-174))?", "solution_steps": ["Multiply: 68 * 9 = 612", "Add: -119 + 612 = 493", "Add: -254 + (-174) = -428", "Subtract: 493 - (-428) = 921"], "final_answer": "921", "answer_type": "integer", "kind": "expression", "math_text": "-119 + 68 * 9 - (-254 + (-174))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -119, \"b\": 68, \"c\": 9, \"d\": -254, \"e\": -174}", "seed": "13746447843170876041", "semantic_fingerprint": "sha256:529d87a1d68c3fbc09c376bdbefb9bd048dbedbee7ef82ba0fb2d73f5df85e85", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001890", "prompt": "What is (8 * 0 / (-2) + 5) / 458?", "solution_steps": ["Multiply: 8 * 0 = 0", "Divide: 0 / (-2) = 0", "Add: 0 + 5 = 5", "Divide: 5 / 458 = 5/458"], "final_answer": "5/458", "answer_type": "rational", "kind": "expression", "math_text": "(8 * 0 / (-2) + 5) / 458", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": -2, \"d\": 5, \"e\": 458}", "seed": "8367982361222390446", "semantic_fingerprint": "sha256:174840b8198ab18387551b51300e0bdebb2d98bf85ccb4f54ea0131d8ad1383f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001891", "prompt": "Calculate: 7 / (-7 * (-9 + 1))", "solution_steps": ["Add: -9 + 1 = -8", "Multiply: -7 * (-8) = 56", "Divide: 7 / 56 = 1/8"], "final_answer": "1/8", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-7 * (-9 + 1))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"c\": -9, \"d\": 1}", "seed": "14232145208164127020", "semantic_fingerprint": "sha256:8aed3f17788e366b368211495bd1b8b123ed54bb4212ded7ad925b00330a11d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001892", "prompt": "Evaluate: -90 * 86 * (0 * (-53)) / 762", "solution_steps": ["Multiply: -90 * 86 = -7740", "Multiply: 0 * (-53) = 0", "Multiply: -7740 * 0 = 0", "Divide: 0 / 762 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-90 * 86 * (0 * (-53)) / 762", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 86, \"c\": 0, \"d\": -53, \"e\": 762}", "seed": "5211987788737040957", "semantic_fingerprint": "sha256:3bf4273d7c9f7417bf09d7dfa5ed5a540f0deb281faa83374209167956dda185", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001893", "prompt": "Calculate: 57 * (0 / 70 + (9 + (-7)))", "solution_steps": ["Divide: 0 / 70 = 0", "Add: 9 + (-7) = 2", "Add: 0 + 2 = 2", "Multiply: 57 * 2 = 114"], "final_answer": "114", "answer_type": "integer", "kind": "expression", "math_text": "57 * (0 / 70 + (9 + (-7)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 0, \"c\": 70, \"d\": 9, \"e\": -7}", "seed": "2973457644486770264", "semantic_fingerprint": "sha256:af78668a305859ad1f9ba1ff2bcb670eb1a18a4b4ea63e8a4c9a7f20445396e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001894", "prompt": "Find x: 12(x - 56) + 918 = -11(x + 9)", "solution_steps": ["Expand: 12x - 672 + 918 = -11(x + 9)", "Expand: 12x - 672 + 918 = -11x - 99", "Combine constants: 12x + 246 = -11x - 99", "Add 11x to both sides: 23x + 246 = -99", "Subtract 246 from both sides: 23x = -345", "Divide both sides by 23: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 56) + 918 = -11(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 56, \"c\": -11, \"d\": 9, \"f\": 918, \"x\": -15}", "seed": "15767010103641698220", "semantic_fingerprint": "sha256:60f3a6f356ce9dc2ad848997d02e78f4ca7383e869010c6db8bd3d60d7e5efc2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001895", "prompt": "Solve for x: -12x - 871 = 11x - 710", "solution_steps": ["Subtract 11x from both sides: -23x - 871 = -710", "Add 871 to both sides: -23x = 161", "Divide both sides by -23: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 871 = 11x - 710", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 871, \"c\": 11, \"e\": -710, \"x\": -7}", "seed": "3795476517113177258", "semantic_fingerprint": "sha256:920c04bdc2fae604fa5c2252d5d7705635db12d206c92d9a2ace0600b1171dbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001896", "prompt": "What value of x satisfies 3(x + 8) - 7 = x + 33?", "solution_steps": ["Expand: 3x + 24 - 7 = x + 33", "Combine constants: 3x + 17 = x + 33", "Subtract x from both sides: 2x + 17 = 33", "Subtract 17 from both sides: 2x = 16", "Divide both sides by 2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 8) - 7 = x + 33", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 7, \"e\": 33, \"x\": 8}", "seed": "13586384400424614599", "semantic_fingerprint": "sha256:12092caa9a8fcb89cd1d92f9be3c002f7ca525ee118d58da96920fc7352b0058", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001897", "prompt": "What is 1 + (-51 * (-782 + 3) + 501)?", "solution_steps": ["Add: -782 + 3 = -779", "Multiply: -51 * (-779) = 39729", "Add: 39729 + 501 = 40230", "Add: 1 + 40230 = 40231"], "final_answer": "40231", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-51 * (-782 + 3) + 501)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -51, \"c\": -782, \"d\": 3, \"e\": 501}", "seed": "2494192752014096694", "semantic_fingerprint": "sha256:8136ffbd215ef2f2dac1801fc64de02d89935918a41c58f32d06762cf2400a89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001898", "prompt": "What is (-63 - 269) * (-55 / (-9 / (-4))) / 353?", "solution_steps": ["Subtract: -63 - 269 = -332", "Divide: -9 / (-4) = 9/4", "Divide: -55 / (9/4) = -220/9", "Multiply: -332 * (-220/9) = 73040/9", "Divide: (73040/9) / 353 = 73040/3177"], "final_answer": "73040/3177", "answer_type": "rational", "kind": "expression", "math_text": "(-63 - 269) * (-55 / (-9 / (-4))) / 353", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) (/ n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 269, \"c\": -55, \"d\": -9, \"e\": -4, \"f\": 353}", "seed": "1675191922517760539", "semantic_fingerprint": "sha256:1224df877b6a80ae0ae657946c1b76a5c52f545cf2e93bc9856f23f0502dc04e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001899", "prompt": "What value of x satisfies 4(x + 18) + 32 = x + 92?", "solution_steps": ["Expand: 4x + 72 + 32 = x + 92", "Combine constants: 4x + 104 = x + 92", "Subtract x from both sides: 3x + 104 = 92", "Subtract 104 from both sides: 3x = -12", "Divide both sides by 3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 18) + 32 = x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 18, \"c\": 32, \"e\": 92, \"x\": -4}", "seed": "18397327192839059014", "semantic_fingerprint": "sha256:c852382dfac6dbe1fd067197a348c3c34f3a9ba4487e9a3798d02ec7ca61be02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001900", "prompt": "What value of x satisfies 11x = -6(x + 73) + 472?", "solution_steps": ["Expand: 11x = -6x - 438 + 472", "Combine constants: 11x = -6x + 34", "Add 6x to both sides: 17x = 34", "Divide both sides by 17: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -6(x + 73) + 472", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -6, \"c\": 73, \"e\": 472, \"x\": 2}", "seed": "1984501379597554393", "semantic_fingerprint": "sha256:bb954a251bbe9dc06316ba06b1b5805421a2c06be07bcbd87f4f2a5856421f55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001901", "prompt": "Solve for x: 11x = -2(x + 13) - 156", "solution_steps": ["Expand: 11x = -2x - 26 - 156", "Combine constants: 11x = -2x - 182", "Add 2x to both sides: 13x = -182", "Divide both sides by 13: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -2(x + 13) - 156", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -2, \"c\": 13, \"e\": -156, \"x\": -14}", "seed": "3268893716597479932", "semantic_fingerprint": "sha256:06e3698ed9539e2acf727f114052bd10ea084a8838178a37353cf69e01dd955d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001902", "prompt": "Evaluate: -1 / 34 * (-33) * (49 * (-7))", "solution_steps": ["Divide: -1 / 34 = -1/34", "Multiply: (-1/34) * (-33) = 33/34", "Multiply: 49 * (-7) = -343", "Multiply: (33/34) * (-343) = -11319/34"], "final_answer": "-11319/34", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 34 * (-33) * (49 * (-7))", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 34, \"c\": -33, \"d\": 49, \"e\": -7}", "seed": "16850956916463956444", "semantic_fingerprint": "sha256:5ed8acc994bf474639c4b774308d0b1107b78fde655a785a83d03dd00a8273d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001903", "prompt": "Calculate: (1 - 0 - 234) * (16 / 1)", "solution_steps": ["Subtract: 1 - 0 = 1", "Subtract: 1 - 234 = -233", "Divide: 16 / 1 = 16", "Multiply: -233 * 16 = -3728"], "final_answer": "-3728", "answer_type": "integer", "kind": "expression", "math_text": "(1 - 0 - 234) * (16 / 1)", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": 234, \"d\": 16, \"e\": 1}", "seed": "4052436869169320580", "semantic_fingerprint": "sha256:5b4ef93c0c4a443cda1a6b1d5c62666b97d2027943320043e3af5a971779cb1a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001904", "prompt": "Find x: 3x - 59 = -11(x - 96)", "solution_steps": ["Expand: 3x - 59 = -11x + 1056", "Add 11x to both sides: 14x - 59 = 1056", "Add 59 to both sides: 14x = 1115", "Divide both sides by 14: x = 1115/14"], "final_answer": "1115/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 59 = -11(x - 96)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 59, \"c\": -11, \"d\": 96}", "seed": "3056452156093258544", "semantic_fingerprint": "sha256:a8917c00a519651c6406ef37ff2fb32457eaf2d44f4eab011bb535fec52813e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001905", "prompt": "Find x: 5x = -12(x + 846) + 351", "solution_steps": ["Expand: 5x = -12x - 10152 + 351", "Combine constants: 5x = -12x - 9801", "Add 12x to both sides: 17x = -9801", "Divide both sides by 17: x = -9801/17"], "final_answer": "-9801/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = -12(x + 846) + 351", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -12, \"c\": 846, \"d\": 351}", "seed": "17888791361214655180", "semantic_fingerprint": "sha256:2a1f0da7b4d5d745cf0ea8399b09e0da6e69538f269f859da9e1467fd42f3f46", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001906", "prompt": "Solve for x: -4(x + 75) = 8(x - 22) + 56", "solution_steps": ["Expand: -4x - 300 = 8(x - 22) + 56", "Expand: -4x - 300 = 8x - 176 + 56", "Combine constants: -4x - 300 = 8x - 120", "Subtract 8x from both sides: -12x - 300 = -120", "Add 300 to both sides: -12x = 180", "Divide both sides by -12: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 75) = 8(x - 22) + 56", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 75, \"c\": 8, \"d\": 22, \"f\": 56, \"x\": -15}", "seed": "4713283601315882252", "semantic_fingerprint": "sha256:a6f77de6d162ed052950d2ae78878286904fd3ef5ed66c26de7b14da123a5e98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001907", "prompt": "Calculate: 2 * 752 + 4 * (-573)", "solution_steps": ["Multiply: 2 * 752 = 1504", "Multiply: 4 * (-573) = -2292", "Add: 1504 + (-2292) = -788"], "final_answer": "-788", "answer_type": "integer", "kind": "expression", "math_text": "2 * 752 + 4 * (-573)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 752, \"c\": 4, \"d\": -573}", "seed": "151704949298449757", "semantic_fingerprint": "sha256:d8f3b716afd289268d939369257ee1b3f7a4ec095f643165641be970ddd6bf19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001908", "prompt": "Solve the equation 4x = 5(x + 599) + 8 for x.", "solution_steps": ["Expand: 4x = 5x + 2995 + 8", "Combine constants: 4x = 5x + 3003", "Subtract 5x from both sides: -x = 3003", "Divide both sides by -1: x = -3003"], "final_answer": "-3003", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 5(x + 599) + 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 599, \"d\": 8}", "seed": "13348967424286191965", "semantic_fingerprint": "sha256:45be1b3c1369b1e1e4af9d4a99a186b87f3bb18fdf5ac6d07e930dd8e94557f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001909", "prompt": "Compute: -19 - 4 - (-259) * (4 + 7)", "solution_steps": ["Subtract: -19 - 4 = -23", "Add: 4 + 7 = 11", "Multiply: -259 * 11 = -2849", "Subtract: -23 - (-2849) = 2826"], "final_answer": "2826", "answer_type": "integer", "kind": "expression", "math_text": "-19 - 4 - (-259) * (4 + 7)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 4, \"c\": -259, \"d\": 4, \"e\": 7}", "seed": "17323709107036850621", "semantic_fingerprint": "sha256:9e6e943ebb0e833fbc93ef383ebd884b8ea0d7444be58b7a384d6b536087aa55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001910", "prompt": "Compute: (86 * 5 * (-7) + (-7)) / 773", "solution_steps": ["Multiply: 86 * 5 = 430", "Multiply: 430 * (-7) = -3010", "Add: -3010 + (-7) = -3017", "Divide: -3017 / 773 = -3017/773"], "final_answer": "-3017/773", "answer_type": "rational", "kind": "expression", "math_text": "(86 * 5 * (-7) + (-7)) / 773", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 5, \"c\": -7, \"d\": -7, \"e\": 773}", "seed": "1534108479691531278", "semantic_fingerprint": "sha256:b0496fc63f142963aecc7b4cacb0c5d30487ce8070e84ab22132fd2c8e436d02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001911", "prompt": "Evaluate: -2 / (-15) / 710 + (-4 - 0)", "solution_steps": ["Divide: -2 / (-15) = 2/15", "Divide: (2/15) / 710 = 1/5325", "Subtract: -4 - 0 = -4", "Add: 1/5325 + (-4) = -21299/5325"], "final_answer": "-21299/5325", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-15) / 710 + (-4 - 0)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -15, \"c\": 710, \"d\": -4, \"e\": 0}", "seed": "1787187365350020129", "semantic_fingerprint": "sha256:fb615a83de8433802e3dc623154e627bd8a4c4bcb4299e096b515728d9f71f0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001912", "prompt": "Find x: 3x - 200 = 6x - 236", "solution_steps": ["Subtract 6x from both sides: -3x - 200 = -236", "Add 200 to both sides: -3x = -36", "Divide both sides by -3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 200 = 6x - 236", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 200, \"c\": 6, \"e\": -236, \"x\": 12}", "seed": "13091127814057150130", "semantic_fingerprint": "sha256:fd592fe6272317b60968c60d7139a2fb24345536c000a463238255b4f43b4c31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001913", "prompt": "Solve the equation -5x = 11(x + 4) - 26 for x.", "solution_steps": ["Expand: -5x = 11x + 44 - 26", "Combine constants: -5x = 11x + 18", "Subtract 11x from both sides: -16x = 18", "Divide both sides by -16: x = -9/8"], "final_answer": "-9/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 11(x + 4) - 26", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 11, \"c\": 4, \"d\": 26}", "seed": "11443230902387058996", "semantic_fingerprint": "sha256:ee921341404cd4eb48ec7cc3b02f139127072eb532461fdbd67391685c189e58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001914", "prompt": "What is 112 / (-8) * 5 - (-1 + (-4))?", "solution_steps": ["Divide: 112 / (-8) = -14", "Multiply: -14 * 5 = -70", "Add: -1 + (-4) = -5", "Subtract: -70 - (-5) = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "112 / (-8) * 5 - (-1 + (-4))", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 112, \"b\": -8, \"c\": 5, \"d\": -1, \"e\": -4}", "seed": "15940257320044546522", "semantic_fingerprint": "sha256:9804cbfdff845b40f2560f760187f1f30cdbc649a99c6a234772f7674622ed26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001915", "prompt": "Compute: -77 - (-97) / (-80) - 477 / 1", "solution_steps": ["Divide: -97 / (-80) = 97/80", "Subtract: -77 - 97/80 = -6257/80", "Divide: 477 / 1 = 477", "Subtract: -6257/80 - 477 = -44417/80"], "final_answer": "-44417/80", "answer_type": "rational", "kind": "expression", "math_text": "-77 - (-97) / (-80) - 477 / 1", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -97, \"c\": -80, \"d\": 477, \"e\": 1}", "seed": "1537286785916873421", "semantic_fingerprint": "sha256:75815d26cc6b2a78cab5642a813368a05df5843bfd5b5946f05dfe9b7c2a135f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001916", "prompt": "Compute: 4 / (870 - 669 - 925 + 2)", "solution_steps": ["Subtract: 870 - 669 = 201", "Subtract: 201 - 925 = -724", "Add: -724 + 2 = -722", "Divide: 4 / (-722) = -2/361"], "final_answer": "-2/361", "answer_type": "rational", "kind": "expression", "math_text": "4 / (870 - 669 - 925 + 2)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 870, \"c\": 669, \"d\": 925, \"e\": 2}", "seed": "15892271599740601353", "semantic_fingerprint": "sha256:5b8c2f5c28a3c96406e90267a0f7356a708cf1a06483e0709543a71e9e6a7280", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001917", "prompt": "Find x: 4x = -6(x + 38) + 318", "solution_steps": ["Expand: 4x = -6x - 228 + 318", "Combine constants: 4x = -6x + 90", "Add 6x to both sides: 10x = 90", "Divide both sides by 10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -6(x + 38) + 318", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -6, \"c\": 38, \"e\": 318, \"x\": 9}", "seed": "4796242257919454322", "semantic_fingerprint": "sha256:2ca1806c86657702d8d6d17015230fc3aa01f4dca949713523f0dc9ee8bea30f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001918", "prompt": "What value of x satisfies -9(x - 57) - 5 = x + 708?", "solution_steps": ["Expand: -9x + 513 - 5 = x + 708", "Combine constants: -9x + 508 = x + 708", "Subtract x from both sides: -10x + 508 = 708", "Subtract 508 from both sides: -10x = 200", "Divide both sides by -10: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 57) - 5 = x + 708", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 57, \"c\": 5, \"e\": 708, \"x\": -20}", "seed": "11986732836193279568", "semantic_fingerprint": "sha256:058a49ebc2e78593c164ee866cd5a284358fc425177955ae741b2f9a3ceecc41", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001919", "prompt": "Calculate: -78 / 2 - (220 + (-89) / (-47))", "solution_steps": ["Divide: -78 / 2 = -39", "Divide: -89 / (-47) = 89/47", "Add: 220 + 89/47 = 10429/47", "Subtract: -39 - 10429/47 = -12262/47"], "final_answer": "-12262/47", "answer_type": "rational", "kind": "expression", "math_text": "-78 / 2 - (220 + (-89) / (-47))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 2, \"c\": 220, \"d\": -89, \"e\": -47}", "seed": "17195762920018127324", "semantic_fingerprint": "sha256:675234b1db4b7fe16175cf4505728ace4df814e3cb304284636f3ac9f94ec99e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001920", "prompt": "Calculate: -950 * (-282) + (791 - 537)", "solution_steps": ["Multiply: -950 * (-282) = 267900", "Subtract: 791 - 537 = 254", "Add: 267900 + 254 = 268154"], "final_answer": "268154", "answer_type": "integer", "kind": "expression", "math_text": "-950 * (-282) + (791 - 537)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -950, \"b\": -282, \"c\": 791, \"d\": 537}", "seed": "3311627813854112209", "semantic_fingerprint": "sha256:5748382af4a6c375036b488f2170332d57255dabe47a8c03b54634d93f00ae57", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001921", "prompt": "What value of x satisfies 3x - 57 = 8(x - 9)?", "solution_steps": ["Expand: 3x - 57 = 8x - 72", "Subtract 8x from both sides: -5x - 57 = -72", "Add 57 to both sides: -5x = -15", "Divide both sides by -5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 57 = 8(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 9, \"e\": -57, \"x\": 3}", "seed": "5252751032809571723", "semantic_fingerprint": "sha256:bcd635cfed37e8d864ff515e09eec222c03643122242f664dd29be0ba39c4d71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001922", "prompt": "Compute: (91 - (-4)) * (-37 + (-5 - 73))", "solution_steps": ["Subtract: 91 - (-4) = 95", "Subtract: -5 - 73 = -78", "Add: -37 + (-78) = -115", "Multiply: 95 * (-115) = -10925"], "final_answer": "-10925", "answer_type": "integer", "kind": "expression", "math_text": "(91 - (-4)) * (-37 + (-5 - 73))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -4, \"c\": -37, \"d\": -5, \"e\": 73}", "seed": "1848176808555138800", "semantic_fingerprint": "sha256:9414159ba1c3f03b5effb67d4266f94a0f01fa7524fa4efdf2671c1985dae3f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001923", "prompt": "Solve the equation 9x - 9 = 5x - 29 for x.", "solution_steps": ["Subtract 5x from both sides: 4x - 9 = -29", "Add 9 to both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 9 = 5x - 29", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 5, \"e\": -29, \"x\": -5}", "seed": "13081219601983056696", "semantic_fingerprint": "sha256:c4b27a99fc86eb90690a5684e77e8b86b65e3919562ed419ad351623c996bc49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001924", "prompt": "Solve the equation -4(x + 51) + 5 = x + 64 for x.", "solution_steps": ["Expand: -4x - 204 + 5 = x + 64", "Combine constants: -4x - 199 = x + 64", "Subtract x from both sides: -5x - 199 = 64", "Add 199 to both sides: -5x = 263", "Divide both sides by -5: x = -263/5"], "final_answer": "-263/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 51) + 5 = x + 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 51, \"c\": 5, \"d\": 64}", "seed": "11101683507459561723", "semantic_fingerprint": "sha256:f3ca173dbf1dd19abbc755598c4f13e522fcdc09a5527b956cb0738b04218fd6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001925", "prompt": "What is 2 + (-873) + (-2) * (-832 + 0)?", "solution_steps": ["Add: 2 + (-873) = -871", "Add: -832 + 0 = -832", "Multiply: -2 * (-832) = 1664", "Add: -871 + 1664 = 793"], "final_answer": "793", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-873) + (-2) * (-832 + 0)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -873, \"c\": -2, \"d\": -832, \"e\": 0}", "seed": "15105223580772996519", "semantic_fingerprint": "sha256:0b2f481ded97740d7e99091aa84ee6c5c363924da0fe2d33bb2eab5979f10017", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001926", "prompt": "What is 7 / (-3) - (-5) * 9 / (-304)?", "solution_steps": ["Divide: 7 / (-3) = -7/3", "Multiply: -5 * 9 = -45", "Divide: -45 / (-304) = 45/304", "Subtract: -7/3 - 45/304 = -2263/912"], "final_answer": "-2263/912", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-3) - (-5) * 9 / (-304)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -3, \"c\": -5, \"d\": 9, \"e\": -304}", "seed": "5322814707270896995", "semantic_fingerprint": "sha256:b2fa0c94c9d9e4f798d3fb83474c7a10234f76744481ac439146e014ec533832", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001927", "prompt": "What value of x satisfies 2(x + 39) = 11(x - 9) + 5?", "solution_steps": ["Expand: 2x + 78 = 11(x - 9) + 5", "Expand: 2x + 78 = 11x - 99 + 5", "Combine constants: 2x + 78 = 11x - 94", "Subtract 11x from both sides: -9x + 78 = -94", "Subtract 78 from both sides: -9x = -172", "Divide both sides by -9: x = 172/9"], "final_answer": "172/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 39) = 11(x - 9) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 39, \"c\": 11, \"d\": 9, \"e\": 5}", "seed": "10728677015760443202", "semantic_fingerprint": "sha256:3768aaf8b32ae1e4c3a9587b3a58f1bc07f57d984065aa2ef980a9ef03ab11f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001928", "prompt": "Evaluate: (0 + (-1)) / (9 * 580) * 54", "solution_steps": ["Add: 0 + (-1) = -1", "Multiply: 9 * 580 = 5220", "Divide: -1 / 5220 = -1/5220", "Multiply: (-1/5220) * 54 = -3/290"], "final_answer": "-3/290", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-1)) / (9 * 580) * 54", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": 9, \"d\": 580, \"e\": 54}", "seed": "16045984480280526323", "semantic_fingerprint": "sha256:89d5e5aabee71a8738dcedee8513b3827dbbe795f5366cfd8bd02d3996d9c666", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001929", "prompt": "Calculate: 10 - (4 + 402) / 38", "solution_steps": ["Add: 4 + 402 = 406", "Divide: 406 / 38 = 203/19", "Subtract: 10 - 203/19 = -13/19"], "final_answer": "-13/19", "answer_type": "rational", "kind": "expression", "math_text": "10 - (4 + 402) / 38", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 402, \"d\": 38}", "seed": "4603597515060001601", "semantic_fingerprint": "sha256:d87d9c2f3c14dfc920715796bf2627971868f4a9691133f40bbe375759b83897", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001930", "prompt": "What value of x satisfies 4(x + 12) + 149 = x + 164?", "solution_steps": ["Expand: 4x + 48 + 149 = x + 164", "Combine constants: 4x + 197 = x + 164", "Subtract x from both sides: 3x + 197 = 164", "Subtract 197 from both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 12) + 149 = x + 164", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"c\": 149, \"e\": 164, \"x\": -11}", "seed": "12442460162462880068", "semantic_fingerprint": "sha256:a38927fb672c65c07075c564124aa3467414d313c9817a110903d41c247afdef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001931", "prompt": "Find x: -8x - 7 = 4(x - 64)", "solution_steps": ["Expand: -8x - 7 = 4x - 256", "Subtract 4x from both sides: -12x - 7 = -256", "Add 7 to both sides: -12x = -249", "Divide both sides by -12: x = 83/4"], "final_answer": "83/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x - 7 = 4(x - 64)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 4, \"d\": 64}", "seed": "13796574257381789879", "semantic_fingerprint": "sha256:794cef72a43633c548426a9ceedcc9a9c58e1ce0c4b86c794c4a6e0e51bb3571", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001932", "prompt": "Calculate: 191 / (-66) + 9 * (-9 / (9 - (-27)))", "solution_steps": ["Divide: 191 / (-66) = -191/66", "Subtract: 9 - (-27) = 36", "Divide: -9 / 36 = -1/4", "Multiply: 9 * (-1/4) = -9/4", "Add: -191/66 + (-9/4) = -679/132"], "final_answer": "-679/132", "answer_type": "rational", "kind": "expression", "math_text": "191 / (-66) + 9 * (-9 / (9 - (-27)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 191, \"b\": -66, \"c\": 9, \"d\": -9, \"e\": 9, \"f\": -27}", "seed": "7401844462221141337", "semantic_fingerprint": "sha256:645d2c077610c1d3d913dabc8011c57ec18f4ccd9e355c234a4589bf7316aea1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001933", "prompt": "Solve for x: -8(x + 9) = 12(x - 66) + 380", "solution_steps": ["Expand: -8x - 72 = 12(x - 66) + 380", "Expand: -8x - 72 = 12x - 792 + 380", "Combine constants: -8x - 72 = 12x - 412", "Subtract 12x from both sides: -20x - 72 = -412", "Add 72 to both sides: -20x = -340", "Divide both sides by -20: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 9) = 12(x - 66) + 380", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 12, \"d\": 66, \"f\": 380, \"x\": 17}", "seed": "17589211925957298557", "semantic_fingerprint": "sha256:7ad725d9dfc819fcf6f3f70a3f57483b62730847a551d7d22251ba008233c174", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001934", "prompt": "Solve for x: -7x - 80 = 5(x - 40)", "solution_steps": ["Expand: -7x - 80 = 5x - 200", "Subtract 5x from both sides: -12x - 80 = -200", "Add 80 to both sides: -12x = -120", "Divide both sides by -12: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 80 = 5(x - 40)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 40, \"e\": -80, \"x\": 10}", "seed": "18393863698843999673", "semantic_fingerprint": "sha256:0a0047cd6a9144d674ce1e28d6c802394d275ce3ebbb67acd340009d5550cdd7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001935", "prompt": "Calculate: -6 - 33 + 12 * (5 * (-96 + 0))", "solution_steps": ["Subtract: -6 - 33 = -39", "Add: -96 + 0 = -96", "Multiply: 5 * (-96) = -480", "Multiply: 12 * (-480) = -5760", "Add: -39 + (-5760) = -5799"], "final_answer": "-5799", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 33 + 12 * (5 * (-96 + 0))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* n (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 33, \"c\": 12, \"d\": 5, \"e\": -96, \"f\": 0}", "seed": "11498761645326052107", "semantic_fingerprint": "sha256:0e79e611e0aae56ec70f4e7c814beae47e4a13dd9a4c5d55943cea5d5658226d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001936", "prompt": "Solve the equation -8(x + 5) + 88 = x + 30 for x.", "solution_steps": ["Expand: -8x - 40 + 88 = x + 30", "Combine constants: -8x + 48 = x + 30", "Subtract x from both sides: -9x + 48 = 30", "Subtract 48 from both sides: -9x = -18", "Divide both sides by -9: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 5) + 88 = x + 30", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5, \"c\": 88, \"e\": 30, \"x\": 2}", "seed": "9658913531049307535", "semantic_fingerprint": "sha256:95b8e2cb3bc5b79e57ad5047aab00cb80ad64c2465280815f81889eea15e7cd8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001937", "prompt": "Compute: -9 * 3 + (-556) * (-18)", "solution_steps": ["Multiply: -9 * 3 = -27", "Multiply: -556 * (-18) = 10008", "Add: -27 + 10008 = 9981"], "final_answer": "9981", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 3 + (-556) * (-18)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": -556, \"d\": -18}", "seed": "4440319943187873318", "semantic_fingerprint": "sha256:e535a1d2d41b958c4a31ef00033797cc8b599673d3bf46606de7eb89aa953261", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001938", "prompt": "Calculate: -543 * (-2) + (-7 - (-6))", "solution_steps": ["Multiply: -543 * (-2) = 1086", "Subtract: -7 - (-6) = -1", "Add: 1086 + (-1) = 1085"], "final_answer": "1085", "answer_type": "integer", "kind": "expression", "math_text": "-543 * (-2) + (-7 - (-6))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -543, \"b\": -2, \"c\": -7, \"d\": -6}", "seed": "12960319842802305863", "semantic_fingerprint": "sha256:5972bb607b458f55187ddf67712551d9c57a97affccc27d4ed8bf6b8a56701e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001939", "prompt": "Compute: 2 / (1 * (-39 / (-3) - (-1))) / (-8)", "solution_steps": ["Divide: -39 / (-3) = 13", "Subtract: 13 - (-1) = 14", "Multiply: 1 * 14 = 14", "Divide: 2 / 14 = 1/7", "Divide: (1/7) / (-8) = -1/56"], "final_answer": "-1/56", "answer_type": "rational", "kind": "expression", "math_text": "2 / (1 * (-39 / (-3) - (-1))) / (-8)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (* n (- (/ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": -39, \"d\": -3, \"e\": -1, \"f\": -8}", "seed": "6109018205982782002", "semantic_fingerprint": "sha256:87267ad21b2de7a7e9750ea3c3f54ac5ff1e358b9ca2b40ade65b01e1f9782ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001940", "prompt": "Solve the equation -9x = 7(x + 4) - 284 for x.", "solution_steps": ["Expand: -9x = 7x + 28 - 284", "Combine constants: -9x = 7x - 256", "Subtract 7x from both sides: -16x = -256", "Divide both sides by -16: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 7(x + 4) - 284", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 4, \"e\": -284, \"x\": 16}", "seed": "3742753253936162691", "semantic_fingerprint": "sha256:e1924a05c7d9fefbd7820f32bcf9bcf15e9468e13cd7943fca922e0ff23b2f69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001941", "prompt": "Calculate: 99 / (-79) * 80 - (49 + (-931))", "solution_steps": ["Divide: 99 / (-79) = -99/79", "Multiply: (-99/79) * 80 = -7920/79", "Add: 49 + (-931) = -882", "Subtract: -7920/79 - (-882) = 61758/79"], "final_answer": "61758/79", "answer_type": "rational", "kind": "expression", "math_text": "99 / (-79) * 80 - (49 + (-931))", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -79, \"c\": 80, \"d\": 49, \"e\": -931}", "seed": "11262568268564074959", "semantic_fingerprint": "sha256:ed22792d808f0e316811f4ef6ce4cb36b43589dbac28ecf6c2836ea4d8c4e55d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001942", "prompt": "Calculate: (27 + 6) * 0 - (-28) / (-4 + 0)", "solution_steps": ["Add: 27 + 6 = 33", "Multiply: 33 * 0 = 0", "Add: -4 + 0 = -4", "Divide: -28 / (-4) = 7", "Subtract: 0 - 7 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "(27 + 6) * 0 - (-28) / (-4 + 0)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 6, \"c\": 0, \"d\": -28, \"e\": -4, \"f\": 0}", "seed": "15758315071508698784", "semantic_fingerprint": "sha256:526b87635238b7438bc7ca42be71194f4317efd059a3dc45e3b907c577e3a14c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001943", "prompt": "Calculate: 47 * (-448) + (-501 - (-68) * (-60))", "solution_steps": ["Multiply: 47 * (-448) = -21056", "Multiply: -68 * (-60) = 4080", "Subtract: -501 - 4080 = -4581", "Add: -21056 + (-4581) = -25637"], "final_answer": "-25637", "answer_type": "integer", "kind": "expression", "math_text": "47 * (-448) + (-501 - (-68) * (-60))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -448, \"c\": -501, \"d\": -68, \"e\": -60}", "seed": "2876384803442622902", "semantic_fingerprint": "sha256:009ff2c3fb71735f5bbf18281abf2b65202a794872b3dfbcf4e565ae6176cc67", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001944", "prompt": "Calculate: (1 + 3 - (-8)) * (14 / 6 * (-5))", "solution_steps": ["Add: 1 + 3 = 4", "Subtract: 4 - (-8) = 12", "Divide: 14 / 6 = 7/3", "Multiply: (7/3) * (-5) = -35/3", "Multiply: 12 * (-35/3) = -140"], "final_answer": "-140", "answer_type": "integer", "kind": "expression", "math_text": "(1 + 3 - (-8)) * (14 / 6 * (-5))", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 3, \"c\": -8, \"d\": 14, \"e\": 6, \"f\": -5}", "seed": "518256836244447116", "semantic_fingerprint": "sha256:fb5cb876801333925091d9cba29490936a86ac3a9cd0df0abc27c66abeef4c88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001945", "prompt": "Calculate: 4 * (-9) * (-16) * 3 - (-3)", "solution_steps": ["Multiply: 4 * (-9) = -36", "Multiply: -36 * (-16) = 576", "Multiply: 576 * 3 = 1728", "Subtract: 1728 - (-3) = 1731"], "final_answer": "1731", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-9) * (-16) * 3 - (-3)", "variable": null, "family": "expression_4op", "shape": "(- (* (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -9, \"c\": -16, \"d\": 3, \"e\": -3}", "seed": "18183386163561791429", "semantic_fingerprint": "sha256:ae764d09fc42af6549f8e787696dfaf6232f401ad39247d7a5553ececa98892f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001946", "prompt": "What value of x satisfies 11(x + 78) - 81 = x + 807?", "solution_steps": ["Expand: 11x + 858 - 81 = x + 807", "Combine constants: 11x + 777 = x + 807", "Subtract x from both sides: 10x + 777 = 807", "Subtract 777 from both sides: 10x = 30", "Divide both sides by 10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 78) - 81 = x + 807", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 78, \"c\": 81, \"e\": 807, \"x\": 3}", "seed": "1728048490087652784", "semantic_fingerprint": "sha256:0ef63d7aea2237d6d007d2f45be36cae6a17e1131c7306126862ce0ae4ebf32f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001947", "prompt": "What value of x satisfies 3x - 2 = -2x - 319?", "solution_steps": ["Add 2x to both sides: 5x - 2 = -319", "Add 2 to both sides: 5x = -317", "Divide both sides by 5: x = -317/5"], "final_answer": "-317/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 2 = -2x - 319", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": -2, \"d\": 319}", "seed": "15200714182529118659", "semantic_fingerprint": "sha256:9d34c97c8ae14ca4303b83541105608b54c5b4fe69e4bcda579e0343e6492b5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001948", "prompt": "What is -79 / (6 * (-11) - 1) + (-85)?", "solution_steps": ["Multiply: 6 * (-11) = -66", "Subtract: -66 - 1 = -67", "Divide: -79 / (-67) = 79/67", "Add: 79/67 + (-85) = -5616/67"], "final_answer": "-5616/67", "answer_type": "rational", "kind": "expression", "math_text": "-79 / (6 * (-11) - 1) + (-85)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 6, \"c\": -11, \"d\": 1, \"e\": -85}", "seed": "9680225353324489941", "semantic_fingerprint": "sha256:4bde2cc231e3e891745a3f18259d8e520a083345f46f708735f2d26e25cb3678", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001949", "prompt": "Solve the equation 8x - 164 = 2(x - 79) for x.", "solution_steps": ["Expand: 8x - 164 = 2x - 158", "Subtract 2x from both sides: 6x - 164 = -158", "Add 164 to both sides: 6x = 6", "Divide both sides by 6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 164 = 2(x - 79)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 79, \"e\": -164, \"x\": 1}", "seed": "7724582176279765795", "semantic_fingerprint": "sha256:537e2489a6ab5c5ad057f68aab0b1309ccc47ed63c6ca36ef2b70dd56af53610", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001950", "prompt": "Calculate: 143 + (-1 - (-4 + 80) + (6 + (-98)))", "solution_steps": ["Add: -4 + 80 = 76", "Subtract: -1 - 76 = -77", "Add: 6 + (-98) = -92", "Add: -77 + (-92) = -169", "Add: 143 + (-169) = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "expression", "math_text": "143 + (-1 - (-4 + 80) + (6 + (-98)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- n (+ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 143, \"b\": -1, \"c\": -4, \"d\": 80, \"e\": 6, \"f\": -98}", "seed": "16953392701449581895", "semantic_fingerprint": "sha256:4e50a7c5837ee4d842ec514670190d96f1fac8bb4c4083183c56ddd497e65a00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001951", "prompt": "Find x: -4(x - 4) - 91 = x + 9", "solution_steps": ["Expand: -4x + 16 - 91 = x + 9", "Combine constants: -4x - 75 = x + 9", "Subtract x from both sides: -5x - 75 = 9", "Add 75 to both sides: -5x = 84", "Divide both sides by -5: x = -84/5"], "final_answer": "-84/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 4) - 91 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 91, \"d\": 9}", "seed": "8384899243583062734", "semantic_fingerprint": "sha256:e95433442ac46c43d212695b3adb75440d8e2789cab6aee7d58650d5ff7c910b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001952", "prompt": "Calculate: (97 * (-970) / 438 + 548) * 5", "solution_steps": ["Multiply: 97 * (-970) = -94090", "Divide: -94090 / 438 = -47045/219", "Add: -47045/219 + 548 = 72967/219", "Multiply: (72967/219) * 5 = 364835/219"], "final_answer": "364835/219", "answer_type": "rational", "kind": "expression", "math_text": "(97 * (-970) / 438 + 548) * 5", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -970, \"c\": 438, \"d\": 548, \"e\": 5}", "seed": "5147891974487204725", "semantic_fingerprint": "sha256:9dc8173e225a02ce2d9f3b2f9c4f1c0f2252ee1d2b6ee9cd30de4f42e25e33b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001953", "prompt": "Solve for x: -12x = 7(x + 91) - 690", "solution_steps": ["Expand: -12x = 7x + 637 - 690", "Combine constants: -12x = 7x - 53", "Subtract 7x from both sides: -19x = -53", "Divide both sides by -19: x = 53/19"], "final_answer": "53/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 7(x + 91) - 690", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 91, \"d\": 690}", "seed": "10134816043562446322", "semantic_fingerprint": "sha256:e818cc72f46c6025b3dabde2f4d8cd9a4badcbe5099e8098b9ed3ea033e5f724", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001954", "prompt": "Find x: 3(x + 196) = 10(x - 6) + 788", "solution_steps": ["Expand: 3x + 588 = 10(x - 6) + 788", "Expand: 3x + 588 = 10x - 60 + 788", "Combine constants: 3x + 588 = 10x + 728", "Subtract 10x from both sides: -7x + 588 = 728", "Subtract 588 from both sides: -7x = 140", "Divide both sides by -7: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 196) = 10(x - 6) + 788", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 196, \"c\": 10, \"d\": 6, \"f\": 788, \"x\": -20}", "seed": "13090597303023558524", "semantic_fingerprint": "sha256:2410ac3122c3c7f9de618a3ce85e9c4fbd50ea53b7fa90570963a3ba21a6262e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001955", "prompt": "Find x: 8(x + 48) + 40 = x + 55", "solution_steps": ["Expand: 8x + 384 + 40 = x + 55", "Combine constants: 8x + 424 = x + 55", "Subtract x from both sides: 7x + 424 = 55", "Subtract 424 from both sides: 7x = -369", "Divide both sides by 7: x = -369/7"], "final_answer": "-369/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 48) + 40 = x + 55", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 48, \"c\": 40, \"d\": 55}", "seed": "17490944122797666486", "semantic_fingerprint": "sha256:c9c9114b471fa655380706ee006008df4167668da2f1c044a16e2bfb0c3f46a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001956", "prompt": "Find x: 9(x + 592) - 4 = x + 27", "solution_steps": ["Expand: 9x + 5328 - 4 = x + 27", "Combine constants: 9x + 5324 = x + 27", "Subtract x from both sides: 8x + 5324 = 27", "Subtract 5324 from both sides: 8x = -5297", "Divide both sides by 8: x = -5297/8"], "final_answer": "-5297/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 592) - 4 = x + 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 592, \"c\": 4, \"d\": 27}", "seed": "17063290809997637138", "semantic_fingerprint": "sha256:83488cd277d0fc9f523458c4aa7300c679c73c80f1a9d8cb89073512a9e6ae05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001957", "prompt": "What value of x satisfies 12x - 5 = 7(x - 3)?", "solution_steps": ["Expand: 12x - 5 = 7x - 21", "Subtract 7x from both sides: 5x - 5 = -21", "Add 5 to both sides: 5x = -16", "Divide both sides by 5: x = -16/5"], "final_answer": "-16/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 5 = 7(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 7, \"d\": 3}", "seed": "2724906560264760958", "semantic_fingerprint": "sha256:1a320dde79816edd28af5423727037689c67a0195b7daa1d8620d03d0fcd9de5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001958", "prompt": "Calculate: 31 - (5 - 61) - (-41) - 0", "solution_steps": ["Subtract: 5 - 61 = -56", "Subtract: 31 - (-56) = 87", "Subtract: 87 - (-41) = 128", "Subtract: 128 - 0 = 128"], "final_answer": "128", "answer_type": "integer", "kind": "expression", "math_text": "31 - (5 - 61) - (-41) - 0", "variable": null, "family": "expression_4op", "shape": "(- (- (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 5, \"c\": 61, \"d\": -41, \"e\": 0}", "seed": "10000691428038244455", "semantic_fingerprint": "sha256:f3af7e24573fcf3b03ad650b7082cdeee332bbe48b910ea5a440b664e523ecc6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001959", "prompt": "Compute: (7 + 63) / (-71) + 97", "solution_steps": ["Add: 7 + 63 = 70", "Divide: 70 / (-71) = -70/71", "Add: -70/71 + 97 = 6817/71"], "final_answer": "6817/71", "answer_type": "rational", "kind": "expression", "math_text": "(7 + 63) / (-71) + 97", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 63, \"c\": -71, \"d\": 97}", "seed": "9088808841698919011", "semantic_fingerprint": "sha256:d4c720dc45d56beb21ac0bb30c2dd2e6c5ca92766aab15633665c7c810fad264", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001960", "prompt": "What value of x satisfies -10x = -2(x + 12) + 40?", "solution_steps": ["Expand: -10x = -2x - 24 + 40", "Combine constants: -10x = -2x + 16", "Add 2x to both sides: -8x = 16", "Divide both sides by -8: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = -2(x + 12) + 40", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -2, \"c\": 12, \"d\": 40}", "seed": "7092149002949594131", "semantic_fingerprint": "sha256:19799418ccdb68fab69d3135664526003c502693a6b69843222eb39460630b15", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001961", "prompt": "Compute: 83 * 4 + (-2) * 82", "solution_steps": ["Multiply: 83 * 4 = 332", "Multiply: -2 * 82 = -164", "Add: 332 + (-164) = 168"], "final_answer": "168", "answer_type": "integer", "kind": "expression", "math_text": "83 * 4 + (-2) * 82", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 4, \"c\": -2, \"d\": 82}", "seed": "987313878209850793", "semantic_fingerprint": "sha256:237bdf777685fc7a189a9e155f6b1a33519f4d54c805a1354667180269949747", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001962", "prompt": "Solve the equation 11(x + 57) + 63 = x + 720 for x.", "solution_steps": ["Expand: 11x + 627 + 63 = x + 720", "Combine constants: 11x + 690 = x + 720", "Subtract x from both sides: 10x + 690 = 720", "Subtract 690 from both sides: 10x = 30", "Divide both sides by 10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 57) + 63 = x + 720", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 57, \"c\": 63, \"e\": 720, \"x\": 3}", "seed": "16760592791502277074", "semantic_fingerprint": "sha256:132ceef25a4b6fd2fce7dc6f76d41346b5fd2bc4bf039f85874a913da7713f0a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001963", "prompt": "What is (946 / 44 - 5) * (-178)?", "solution_steps": ["Divide: 946 / 44 = 43/2", "Subtract: 43/2 - 5 = 33/2", "Multiply: (33/2) * (-178) = -2937"], "final_answer": "-2937", "answer_type": "integer", "kind": "expression", "math_text": "(946 / 44 - 5) * (-178)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 946, \"b\": 44, \"c\": 5, \"d\": -178}", "seed": "5841219498971346923", "semantic_fingerprint": "sha256:1fce58b71c0a072bcaf005a0df6ea74ee82c254a080ac7e4da479e2ca6e29e81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001964", "prompt": "Find x: -2(x + 646) = 8(x - 73) + 7", "solution_steps": ["Expand: -2x - 1292 = 8(x - 73) + 7", "Expand: -2x - 1292 = 8x - 584 + 7", "Combine constants: -2x - 1292 = 8x - 577", "Subtract 8x from both sides: -10x - 1292 = -577", "Add 1292 to both sides: -10x = 715", "Divide both sides by -10: x = -143/2"], "final_answer": "-143/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 646) = 8(x - 73) + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 646, \"c\": 8, \"d\": 73, \"e\": 7}", "seed": "10580257509498422912", "semantic_fingerprint": "sha256:269a34c23419e5dd5a32afd82d0b206e4e758f9b9b46755be9f392238f01c4ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001965", "prompt": "Solve the equation 4x - 71 = 12(x - 85) for x.", "solution_steps": ["Expand: 4x - 71 = 12x - 1020", "Subtract 12x from both sides: -8x - 71 = -1020", "Add 71 to both sides: -8x = -949", "Divide both sides by -8: x = 949/8"], "final_answer": "949/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 71 = 12(x - 85)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 71, \"c\": 12, \"d\": 85}", "seed": "4716394048674547125", "semantic_fingerprint": "sha256:2d984cb79dddb0ba7caa8c1af5be8e893b378d2cc76cc47a8d4705df15ab7b74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001966", "prompt": "What value of x satisfies 4(x - 2) - 24 = x + 19?", "solution_steps": ["Expand: 4x - 8 - 24 = x + 19", "Combine constants: 4x - 32 = x + 19", "Subtract x from both sides: 3x - 32 = 19", "Add 32 to both sides: 3x = 51", "Divide both sides by 3: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 2) - 24 = x + 19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 24, \"e\": 19, \"x\": 17}", "seed": "6029221808509363974", "semantic_fingerprint": "sha256:5057917fb5eb88afdf34a88f419920bf5917346fe2c75db0a3b26e31b408c51e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001967", "prompt": "Find x: -3x - 6 = 2(x - 612)", "solution_steps": ["Expand: -3x - 6 = 2x - 1224", "Subtract 2x from both sides: -5x - 6 = -1224", "Add 6 to both sides: -5x = -1218", "Divide both sides by -5: x = 1218/5"], "final_answer": "1218/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 6 = 2(x - 612)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 2, \"d\": 612}", "seed": "16879351292752117535", "semantic_fingerprint": "sha256:97b942347f08a57c1341572462253be48f7f0b3790bdf5c2453adf6e3c168979", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001968", "prompt": "Solve for x: 12x = -6(x + 33) - 3", "solution_steps": ["Expand: 12x = -6x - 198 - 3", "Combine constants: 12x = -6x - 201", "Add 6x to both sides: 18x = -201", "Divide both sides by 18: x = -67/6"], "final_answer": "-67/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = -6(x + 33) - 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -6, \"c\": 33, \"d\": 3}", "seed": "266121187749682882", "semantic_fingerprint": "sha256:30dada09a6f585b5fde2ea3024ddfd296437317b4365b2bc86ed3c6c444391bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001969", "prompt": "Solve the equation 10(x + 27) - 5 = x + 130 for x.", "solution_steps": ["Expand: 10x + 270 - 5 = x + 130", "Combine constants: 10x + 265 = x + 130", "Subtract x from both sides: 9x + 265 = 130", "Subtract 265 from both sides: 9x = -135", "Divide both sides by 9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 27) - 5 = x + 130", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 27, \"c\": 5, \"e\": 130, \"x\": -15}", "seed": "8114834337369009328", "semantic_fingerprint": "sha256:d023d555f779aa84ef4da5f4e7d470fff4920ee21cfade8bc792d55a26596ce7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001970", "prompt": "Compute: -882 + (3 - (-984)) + (0 * (-7) - (-22))", "solution_steps": ["Subtract: 3 - (-984) = 987", "Add: -882 + 987 = 105", "Multiply: 0 * (-7) = 0", "Subtract: 0 - (-22) = 22", "Add: 105 + 22 = 127"], "final_answer": "127", "answer_type": "integer", "kind": "expression", "math_text": "-882 + (3 - (-984)) + (0 * (-7) - (-22))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -882, \"b\": 3, \"c\": -984, \"d\": 0, \"e\": -7, \"f\": -22}", "seed": "10375101546242158649", "semantic_fingerprint": "sha256:40ac90801dd7fb77c87b0d183221fd6eb789d6d24c5140ef8ba0b91d77d10354", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001971", "prompt": "What is 8 * (-4 * (-6)) + (-98)?", "solution_steps": ["Multiply: -4 * (-6) = 24", "Multiply: 8 * 24 = 192", "Add: 192 + (-98) = 94"], "final_answer": "94", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-4 * (-6)) + (-98)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -4, \"c\": -6, \"d\": -98}", "seed": "1205119844860756244", "semantic_fingerprint": "sha256:84222dd565e193775b82aa0a50fd5b987e06a112c9c4d10024537044a38c7b9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001972", "prompt": "What value of x satisfies 4x = 7(x + 43) - 304?", "solution_steps": ["Expand: 4x = 7x + 301 - 304", "Combine constants: 4x = 7x - 3", "Subtract 7x from both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 7(x + 43) - 304", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 43, \"e\": -304, \"x\": 1}", "seed": "14630696480395689848", "semantic_fingerprint": "sha256:cefd43cd045ce4c12987d275f96a5faa578a0460197fe7afe96574c555400b89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001973", "prompt": "Solve for x: 4x - 4 = -12(x - 196)", "solution_steps": ["Expand: 4x - 4 = -12x + 2352", "Add 12x to both sides: 16x - 4 = 2352", "Add 4 to both sides: 16x = 2356", "Divide both sides by 16: x = 589/4"], "final_answer": "589/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 4 = -12(x - 196)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": -12, \"d\": 196}", "seed": "15002821354753664394", "semantic_fingerprint": "sha256:e198c6c10c3f32dae00397dec9628763d706aa659626a755c1d16ad1ab11fc67", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001974", "prompt": "What is (-1 + 11) / (-20 / ((5 - 0) / (-2)))?", "solution_steps": ["Add: -1 + 11 = 10", "Subtract: 5 - 0 = 5", "Divide: 5 / (-2) = -5/2", "Divide: -20 / (-5/2) = 8", "Divide: 10 / 8 = 5/4"], "final_answer": "5/4", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + 11) / (-20 / ((5 - 0) / (-2)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ n (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 11, \"c\": -20, \"d\": 5, \"e\": 0, \"f\": -2}", "seed": "5470782668374848276", "semantic_fingerprint": "sha256:3290bbe38e9345d6abbf9c9337d00fcd232e6e85f75b2da9872f3c4da7954954", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001975", "prompt": "Compute: -41 + (-10 / 3 - (-73 - 17))", "solution_steps": ["Divide: -10 / 3 = -10/3", "Subtract: -73 - 17 = -90", "Subtract: -10/3 - (-90) = 260/3", "Add: -41 + 260/3 = 137/3"], "final_answer": "137/3", "answer_type": "rational", "kind": "expression", "math_text": "-41 + (-10 / 3 - (-73 - 17))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -10, \"c\": 3, \"d\": -73, \"e\": 17}", "seed": "2049483899012192452", "semantic_fingerprint": "sha256:7fdf09650eed6bb66df9fadac178d01e6d11e90dd55cf3f9166962ea51117d1a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001976", "prompt": "Solve the equation 5(x + 3) = 3(x - 324) + 184 for x.", "solution_steps": ["Expand: 5x + 15 = 3(x - 324) + 184", "Expand: 5x + 15 = 3x - 972 + 184", "Combine constants: 5x + 15 = 3x - 788", "Subtract 3x from both sides: 2x + 15 = -788", "Subtract 15 from both sides: 2x = -803", "Divide both sides by 2: x = -803/2"], "final_answer": "-803/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 3) = 3(x - 324) + 184", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 3, \"d\": 324, \"e\": 184}", "seed": "16693995020201334767", "semantic_fingerprint": "sha256:debc0af44a5e91312b72eaa2051a88e7eeb5a965f3c644716e9efe1d77558fbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001977", "prompt": "Solve for x: 5(x - 6) - 60 = x + 635", "solution_steps": ["Expand: 5x - 30 - 60 = x + 635", "Combine constants: 5x - 90 = x + 635", "Subtract x from both sides: 4x - 90 = 635", "Add 90 to both sides: 4x = 725", "Divide both sides by 4: x = 725/4"], "final_answer": "725/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 6) - 60 = x + 635", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 60, \"d\": 635}", "seed": "17005161305793069913", "semantic_fingerprint": "sha256:dee51e166f4191e8d2d703afd222184d636b74231504e8e3392b7dd416b9ee5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001978", "prompt": "Solve for x: -11x - 3 = 4x - 288", "solution_steps": ["Subtract 4x from both sides: -15x - 3 = -288", "Add 3 to both sides: -15x = -285", "Divide both sides by -15: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 3 = 4x - 288", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3, \"c\": 4, \"e\": -288, \"x\": 19}", "seed": "6089556945676221498", "semantic_fingerprint": "sha256:21eea7dcdff28f508e81f97c1e40d3442630accd3b99e15baa33903a147e69cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001979", "prompt": "What is -7 * ((0 - (-35)) * (87 + (-1)))?", "solution_steps": ["Subtract: 0 - (-35) = 35", "Add: 87 + (-1) = 86", "Multiply: 35 * 86 = 3010", "Multiply: -7 * 3010 = -21070"], "final_answer": "-21070", "answer_type": "integer", "kind": "expression", "math_text": "-7 * ((0 - (-35)) * (87 + (-1)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": -35, \"d\": 87, \"e\": -1}", "seed": "10508581637836229144", "semantic_fingerprint": "sha256:10ad9d93a9ba78c05d332723e07e7ea989a58713a7fb4cd9491c605e376156df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001980", "prompt": "Compute: (-57 - (-77 + 0)) * (-78)", "solution_steps": ["Add: -77 + 0 = -77", "Subtract: -57 - (-77) = 20", "Multiply: 20 * (-78) = -1560"], "final_answer": "-1560", "answer_type": "integer", "kind": "expression", "math_text": "(-57 - (-77 + 0)) * (-78)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -77, \"c\": 0, \"d\": -78}", "seed": "6316661940041855684", "semantic_fingerprint": "sha256:df138e412fb6254b29aeab5b2d8e129e00c888e4bea084723c44bd2369f4a262", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001981", "prompt": "Solve for x: 3x - 2 = 10x - 9", "solution_steps": ["Subtract 10x from both sides: -7x - 2 = -9", "Add 2 to both sides: -7x = -7", "Divide both sides by -7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 2 = 10x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 10, \"e\": -9, \"x\": 1}", "seed": "10124453323710745015", "semantic_fingerprint": "sha256:f01b6ea8c744252e83388ac0234ae2026e3ec1f64a64805c4dcaa3f106903c79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001982", "prompt": "Solve for x: -12x - 83 = -8x - 19", "solution_steps": ["Add 8x to both sides: -4x - 83 = -19", "Add 83 to both sides: -4x = 64", "Divide both sides by -4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 83 = -8x - 19", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 83, \"c\": -8, \"e\": -19, \"x\": -16}", "seed": "940204718779165694", "semantic_fingerprint": "sha256:59723b189781d2b1a8db02646a0143a13a6d6da182fc16e76e88b5b9ba5eaecb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001983", "prompt": "Compute: 0 * (-84) + (3 + (-16) / 13 / 820)", "solution_steps": ["Multiply: 0 * (-84) = 0", "Divide: -16 / 13 = -16/13", "Divide: (-16/13) / 820 = -4/2665", "Add: 3 + (-4/2665) = 7991/2665", "Add: 0 + 7991/2665 = 7991/2665"], "final_answer": "7991/2665", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-84) + (3 + (-16) / 13 / 820)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ n (/ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -84, \"c\": 3, \"d\": -16, \"e\": 13, \"f\": 820}", "seed": "7532616883712054641", "semantic_fingerprint": "sha256:6198f3aa03b6d0bca0302a0e58f362cf43ede3347fadd58cb206f9e6df350c2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001984", "prompt": "What value of x satisfies 2(x + 76) = 4(x - 8) + 210?", "solution_steps": ["Expand: 2x + 152 = 4(x - 8) + 210", "Expand: 2x + 152 = 4x - 32 + 210", "Combine constants: 2x + 152 = 4x + 178", "Subtract 4x from both sides: -2x + 152 = 178", "Subtract 152 from both sides: -2x = 26", "Divide both sides by -2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 76) = 4(x - 8) + 210", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 76, \"c\": 4, \"d\": 8, \"f\": 210, \"x\": -13}", "seed": "3813796331963787736", "semantic_fingerprint": "sha256:a1200307ce332e52d4bf7daf65bb35f9d2170e52a16195a31fb331d83084dfe3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001985", "prompt": "Find x: 10x - 1 = 3x - 1", "solution_steps": ["Subtract 3x from both sides: 7x - 1 = -1", "Add 1 to both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 1 = 3x - 1", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 3, \"e\": -1, \"x\": 0}", "seed": "17143322737205860437", "semantic_fingerprint": "sha256:df3cba587bf00574d1aa2ee9c2fa3ab766b1b997d1c8fa553664e9ee13d3d587", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001986", "prompt": "Find x: -6(x - 241) + 303 = -12(x + 2)", "solution_steps": ["Expand: -6x + 1446 + 303 = -12(x + 2)", "Expand: -6x + 1446 + 303 = -12x - 24", "Combine constants: -6x + 1749 = -12x - 24", "Add 12x to both sides: 6x + 1749 = -24", "Subtract 1749 from both sides: 6x = -1773", "Divide both sides by 6: x = -591/2"], "final_answer": "-591/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 241) + 303 = -12(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 241, \"c\": 303, \"d\": -12, \"e\": 2}", "seed": "5188003318003849618", "semantic_fingerprint": "sha256:2a8137a112507992bbc74baee1e82374d517b074a8334738999a188756fb507c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001987", "prompt": "Compute: 5 * (6 + 162 * (-9))", "solution_steps": ["Multiply: 162 * (-9) = -1458", "Add: 6 + (-1458) = -1452", "Multiply: 5 * (-1452) = -7260"], "final_answer": "-7260", "answer_type": "integer", "kind": "expression", "math_text": "5 * (6 + 162 * (-9))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 162, \"d\": -9}", "seed": "6974425840000633230", "semantic_fingerprint": "sha256:7ad6b3cc6298abd0e91ee022e105e41928757f650ba72a836bc8c0b90d37f6ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001988", "prompt": "Solve for x: 3x = -12(x + 8) + 1", "solution_steps": ["Expand: 3x = -12x - 96 + 1", "Combine constants: 3x = -12x - 95", "Add 12x to both sides: 15x = -95", "Divide both sides by 15: x = -19/3"], "final_answer": "-19/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -12(x + 8) + 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -12, \"c\": 8, \"d\": 1}", "seed": "10190549799820158557", "semantic_fingerprint": "sha256:d113a5d55edc50ba2a59953fba277684b678021ac97f8344f22e547fbd10927a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001989", "prompt": "Calculate: -293 + 1 * (-122 * 4) * (-5)", "solution_steps": ["Multiply: -122 * 4 = -488", "Multiply: 1 * (-488) = -488", "Multiply: -488 * (-5) = 2440", "Add: -293 + 2440 = 2147"], "final_answer": "2147", "answer_type": "integer", "kind": "expression", "math_text": "-293 + 1 * (-122 * 4) * (-5)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -293, \"b\": 1, \"c\": -122, \"d\": 4, \"e\": -5}", "seed": "16097988178772425684", "semantic_fingerprint": "sha256:6390e41aaedafc55dc09e130763b6f52f7480dc19b266b70e23276a6a711d0ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001990", "prompt": "Calculate: 8 / (-42) / (-3) * (-7 + (17 + 56))", "solution_steps": ["Divide: 8 / (-42) = -4/21", "Divide: (-4/21) / (-3) = 4/63", "Add: 17 + 56 = 73", "Add: -7 + 73 = 66", "Multiply: (4/63) * 66 = 88/21"], "final_answer": "88/21", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-42) / (-3) * (-7 + (17 + 56))", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -42, \"c\": -3, \"d\": -7, \"e\": 17, \"f\": 56}", "seed": "6608131407848238073", "semantic_fingerprint": "sha256:49d6f5042aca2f4cfa3d8d00b738caa80c78dec421fbe4a376a6d956b2c53f9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001991", "prompt": "Compute: -48 * (98 / 4 + 76) * (-29)", "solution_steps": ["Divide: 98 / 4 = 49/2", "Add: 49/2 + 76 = 201/2", "Multiply: -48 * (201/2) = -4824", "Multiply: -4824 * (-29) = 139896"], "final_answer": "139896", "answer_type": "integer", "kind": "expression", "math_text": "-48 * (98 / 4 + 76) * (-29)", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 98, \"c\": 4, \"d\": 76, \"e\": -29}", "seed": "3976866634627746168", "semantic_fingerprint": "sha256:d908a633fb8fa6b57cbaf3e99b6545e1d3613946e8f66a86a62f19aa0e17d511", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001992", "prompt": "Evaluate: 187 + (-427 + (-46)) - (54 - 0)", "solution_steps": ["Add: -427 + (-46) = -473", "Add: 187 + (-473) = -286", "Subtract: 54 - 0 = 54", "Subtract: -286 - 54 = -340"], "final_answer": "-340", "answer_type": "integer", "kind": "expression", "math_text": "187 + (-427 + (-46)) - (54 - 0)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 187, \"b\": -427, \"c\": -46, \"d\": 54, \"e\": 0}", "seed": "13200663819505858577", "semantic_fingerprint": "sha256:e752b0875f12f615c4e2ed1a87bb37c448018d76a87141a25eed6c2dcd918317", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001993", "prompt": "What is -234 * (-4) + (-3) * 1?", "solution_steps": ["Multiply: -234 * (-4) = 936", "Multiply: -3 * 1 = -3", "Add: 936 + (-3) = 933"], "final_answer": "933", "answer_type": "integer", "kind": "expression", "math_text": "-234 * (-4) + (-3) * 1", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -234, \"b\": -4, \"c\": -3, \"d\": 1}", "seed": "18179600948960313994", "semantic_fingerprint": "sha256:b498efb5f073e6448119e5644e9cf70bd50f5a848b2a66c473bf048fd02f2704", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001994", "prompt": "Solve the equation 3x - 91 = 7(x - 17) for x.", "solution_steps": ["Expand: 3x - 91 = 7x - 119", "Subtract 7x from both sides: -4x - 91 = -119", "Add 91 to both sides: -4x = -28", "Divide both sides by -4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 91 = 7(x - 17)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 17, \"e\": -91, \"x\": 7}", "seed": "12107652142025163750", "semantic_fingerprint": "sha256:8a7ca5216bc77637ac7c5b372e7c630a1390875c4404f7d50195fc95371bff4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001995", "prompt": "What is -700 + (2 - (-83 + 64))?", "solution_steps": ["Add: -83 + 64 = -19", "Subtract: 2 - (-19) = 21", "Add: -700 + 21 = -679"], "final_answer": "-679", "answer_type": "integer", "kind": "expression", "math_text": "-700 + (2 - (-83 + 64))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -700, \"b\": 2, \"c\": -83, \"d\": 64}", "seed": "9222773975143998983", "semantic_fingerprint": "sha256:737f53c24491cdf412364004013b87a0000e7298310e881faf02e452715adcb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001996", "prompt": "What is (-7 + (9 + (-5))) * (-2 / 215)?", "solution_steps": ["Add: 9 + (-5) = 4", "Add: -7 + 4 = -3", "Divide: -2 / 215 = -2/215", "Multiply: -3 * (-2/215) = 6/215"], "final_answer": "6/215", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + (9 + (-5))) * (-2 / 215)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": -5, \"d\": -2, \"e\": 215}", "seed": "9837001471577813273", "semantic_fingerprint": "sha256:814d40cbec4bf223148920e62be89104ce2b3e8e0b25aa0525e9a258ab9f3316", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001997", "prompt": "What value of x satisfies 9x - 579 = 6(x - 39)?", "solution_steps": ["Expand: 9x - 579 = 6x - 234", "Subtract 6x from both sides: 3x - 579 = -234", "Add 579 to both sides: 3x = 345", "Divide both sides by 3: x = 115"], "final_answer": "115", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 579 = 6(x - 39)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 579, \"c\": 6, \"d\": 39}", "seed": "5458043142602854298", "semantic_fingerprint": "sha256:628318d7dea7b6ee49c5ab589590186e78ce901385463fec81c19c64deb83b6e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001998", "prompt": "Calculate: -40 + 42 + (47 - (7 - 98) - 223)", "solution_steps": ["Add: -40 + 42 = 2", "Subtract: 7 - 98 = -91", "Subtract: 47 - (-91) = 138", "Subtract: 138 - 223 = -85", "Add: 2 + (-85) = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "-40 + 42 + (47 - (7 - 98) - 223)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (- n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 42, \"c\": 47, \"d\": 7, \"e\": 98, \"f\": 223}", "seed": "10108867220463147988", "semantic_fingerprint": "sha256:0e1c728f0632bef13247d92a42bd2f14ceaa64b3cdd6ac06983e5dc90c9d4723", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00001999", "prompt": "Calculate: (-4 - 32 + 5 / (-5 / 2)) / 135", "solution_steps": ["Subtract: -4 - 32 = -36", "Divide: -5 / 2 = -5/2", "Divide: 5 / (-5/2) = -2", "Add: -36 + (-2) = -38", "Divide: -38 / 135 = -38/135"], "final_answer": "-38/135", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - 32 + 5 / (-5 / 2)) / 135", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (/ n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 32, \"c\": 5, \"d\": -5, \"e\": 2, \"f\": 135}", "seed": "9795539078533316988", "semantic_fingerprint": "sha256:57ecce2eb940122817fe9d55ef2e9a965104db57ff9338a77ec6ecfd2f7b0fd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002000", "prompt": "Compute: (-27 - (-492 + 73)) * (-83)", "solution_steps": ["Add: -492 + 73 = -419", "Subtract: -27 - (-419) = 392", "Multiply: 392 * (-83) = -32536"], "final_answer": "-32536", "answer_type": "integer", "kind": "expression", "math_text": "(-27 - (-492 + 73)) * (-83)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -492, \"c\": 73, \"d\": -83}", "seed": "18175516987225380389", "semantic_fingerprint": "sha256:083962d66d192ce79624e61acad04023393831f4f6de2e3c579051b92cd34f7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002001", "prompt": "What is (-1 + 940) / (16 - (-1) / (-5))?", "solution_steps": ["Add: -1 + 940 = 939", "Divide: -1 / (-5) = 1/5", "Subtract: 16 - 1/5 = 79/5", "Divide: 939 / (79/5) = 4695/79"], "final_answer": "4695/79", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + 940) / (16 - (-1) / (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 940, \"c\": 16, \"d\": -1, \"e\": -5}", "seed": "16449565870087969567", "semantic_fingerprint": "sha256:0281efedf55fc9ce7e3d75c2cb2b22b4250e6e6ad2d2c280bf2752d33c84d119", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002002", "prompt": "Compute: -511 - (952 - 0 / (-52)) - (-78 + (-8))", "solution_steps": ["Divide: 0 / (-52) = 0", "Subtract: 952 - 0 = 952", "Subtract: -511 - 952 = -1463", "Add: -78 + (-8) = -86", "Subtract: -1463 - (-86) = -1377"], "final_answer": "-1377", "answer_type": "integer", "kind": "expression", "math_text": "-511 - (952 - 0 / (-52)) - (-78 + (-8))", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n (/ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -511, \"b\": 952, \"c\": 0, \"d\": -52, \"e\": -78, \"f\": -8}", "seed": "14189916615942223984", "semantic_fingerprint": "sha256:9e894de9a933b74329a663af3924d58066869788a0052a28b35e743a8d23d26d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002003", "prompt": "Find x: 11(x + 266) = 3(x - 364) + 2", "solution_steps": ["Expand: 11x + 2926 = 3(x - 364) + 2", "Expand: 11x + 2926 = 3x - 1092 + 2", "Combine constants: 11x + 2926 = 3x - 1090", "Subtract 3x from both sides: 8x + 2926 = -1090", "Subtract 2926 from both sides: 8x = -4016", "Divide both sides by 8: x = -502"], "final_answer": "-502", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 266) = 3(x - 364) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 266, \"c\": 3, \"d\": 364, \"e\": 2}", "seed": "12241361229044164129", "semantic_fingerprint": "sha256:56c39e312b4793b982bfa76a20a5679522ea1c3d6105a7e59937e899ec5984f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002004", "prompt": "Compute: (648 - (-264) * 0) / (-483)", "solution_steps": ["Multiply: -264 * 0 = 0", "Subtract: 648 - 0 = 648", "Divide: 648 / (-483) = -216/161"], "final_answer": "-216/161", "answer_type": "rational", "kind": "expression", "math_text": "(648 - (-264) * 0) / (-483)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 648, \"b\": -264, \"c\": 0, \"d\": -483}", "seed": "16195689455802581862", "semantic_fingerprint": "sha256:a01e0d6a2cfbadaa3b7c0b323244936e341c606a894ab6c289e096bf8a6120e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002005", "prompt": "Solve for x: -6x = 6(x + 8) - 144", "solution_steps": ["Expand: -6x = 6x + 48 - 144", "Combine constants: -6x = 6x - 96", "Subtract 6x from both sides: -12x = -96", "Divide both sides by -12: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 6(x + 8) - 144", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 8, \"e\": -144, \"x\": 8}", "seed": "18263257670330214959", "semantic_fingerprint": "sha256:b29458192d028a8d17062eded13adb81bc5278cd2a61dc2b927ab3b05602a720", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002006", "prompt": "What is 259 - (-60 - 854) + (-3 + 25) / (-8)?", "solution_steps": ["Subtract: -60 - 854 = -914", "Subtract: 259 - (-914) = 1173", "Add: -3 + 25 = 22", "Divide: 22 / (-8) = -11/4", "Add: 1173 + (-11/4) = 4681/4"], "final_answer": "4681/4", "answer_type": "rational", "kind": "expression", "math_text": "259 - (-60 - 854) + (-3 + 25) / (-8)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 259, \"b\": -60, \"c\": 854, \"d\": -3, \"e\": 25, \"f\": -8}", "seed": "11307575933230122843", "semantic_fingerprint": "sha256:ffa19620c712d410d0bf44a92360674f86e3acd33c2f0069683ef1dfd0d2b4c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002007", "prompt": "Compute: -5 * (0 * (-8)) + (-7)", "solution_steps": ["Multiply: 0 * (-8) = 0", "Multiply: -5 * 0 = 0", "Add: 0 + (-7) = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (0 * (-8)) + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0, \"c\": -8, \"d\": -7}", "seed": "6940227261779817393", "semantic_fingerprint": "sha256:474a9fed30b92bcbc073235863289931cf7e6023ef5590cc3e97d13aa1976e0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002008", "prompt": "What is -54 * (-747) + 11 * 5?", "solution_steps": ["Multiply: -54 * (-747) = 40338", "Multiply: 11 * 5 = 55", "Add: 40338 + 55 = 40393"], "final_answer": "40393", "answer_type": "integer", "kind": "expression", "math_text": "-54 * (-747) + 11 * 5", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -747, \"c\": 11, \"d\": 5}", "seed": "6826230050888152936", "semantic_fingerprint": "sha256:8f9b6ee96d37d26becfd6805538882d04bdec8519b1981f06038f21421e97866", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002009", "prompt": "What value of x satisfies -7x = -4(x + 7) + 209?", "solution_steps": ["Expand: -7x = -4x - 28 + 209", "Combine constants: -7x = -4x + 181", "Add 4x to both sides: -3x = 181", "Divide both sides by -3: x = -181/3"], "final_answer": "-181/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x = -4(x + 7) + 209", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -4, \"c\": 7, \"d\": 209}", "seed": "1147819142662325272", "semantic_fingerprint": "sha256:a73cb79bae088996419f98af42de5aca597ed8feb5357ad3404ffa4fdedde5af", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002010", "prompt": "Compute: (4 + (-45)) / (906 + (-646))", "solution_steps": ["Add: 4 + (-45) = -41", "Add: 906 + (-646) = 260", "Divide: -41 / 260 = -41/260"], "final_answer": "-41/260", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-45)) / (906 + (-646))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -45, \"c\": 906, \"d\": -646}", "seed": "16935753323130642410", "semantic_fingerprint": "sha256:f3b9a3f82200d2ac46afc1bc60e38a5522c09a3455e311c150be726b6aba2c70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002011", "prompt": "Evaluate: (-9 * (-2) / 6 + 101) / (-27)", "solution_steps": ["Multiply: -9 * (-2) = 18", "Divide: 18 / 6 = 3", "Add: 3 + 101 = 104", "Divide: 104 / (-27) = -104/27"], "final_answer": "-104/27", "answer_type": "rational", "kind": "expression", "math_text": "(-9 * (-2) / 6 + 101) / (-27)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": 6, \"d\": 101, \"e\": -27}", "seed": "7956397202704905986", "semantic_fingerprint": "sha256:e5536406c8c664ba8570f46ec48ed044314c4e7bb1486862ec594bab89545dae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002012", "prompt": "Find x: -3(x - 7) + 561 = 12(x + 26)", "solution_steps": ["Expand: -3x + 21 + 561 = 12(x + 26)", "Expand: -3x + 21 + 561 = 12x + 312", "Combine constants: -3x + 582 = 12x + 312", "Subtract 12x from both sides: -15x + 582 = 312", "Subtract 582 from both sides: -15x = -270", "Divide both sides by -15: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 7) + 561 = 12(x + 26)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 12, \"d\": 26, \"f\": 561, \"x\": 18}", "seed": "4856933134805803830", "semantic_fingerprint": "sha256:90a4daec15cfba83351b680c58bc0df3cda9917ef67d1dbbd6b7d51a45a719ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002013", "prompt": "Find x: 2(x + 470) = 5(x - 1) + 948", "solution_steps": ["Expand: 2x + 940 = 5(x - 1) + 948", "Expand: 2x + 940 = 5x - 5 + 948", "Combine constants: 2x + 940 = 5x + 943", "Subtract 5x from both sides: -3x + 940 = 943", "Subtract 940 from both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 470) = 5(x - 1) + 948", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 470, \"c\": 5, \"d\": 1, \"f\": 948, \"x\": -1}", "seed": "13215339111887388705", "semantic_fingerprint": "sha256:057175f7c7f95e246fea9aadbbf51e226e2d8557e112e52808943898824c54f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002014", "prompt": "What value of x satisfies -8x = 11(x + 9) + 148?", "solution_steps": ["Expand: -8x = 11x + 99 + 148", "Combine constants: -8x = 11x + 247", "Subtract 11x from both sides: -19x = 247", "Divide both sides by -19: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = 11(x + 9) + 148", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 11, \"c\": 9, \"e\": 148, \"x\": -13}", "seed": "7348806267448270511", "semantic_fingerprint": "sha256:47156ae6922c326ed2de85434fb170e015ad5c5bef3c89e6da828a05c70fe5b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002015", "prompt": "What is -30 * (-69 / (-1)) / (-87 / (4 - 458))?", "solution_steps": ["Divide: -69 / (-1) = 69", "Multiply: -30 * 69 = -2070", "Subtract: 4 - 458 = -454", "Divide: -87 / (-454) = 87/454", "Divide: -2070 / (87/454) = -313260/29"], "final_answer": "-313260/29", "answer_type": "rational", "kind": "expression", "math_text": "-30 * (-69 / (-1)) / (-87 / (4 - 458))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (/ n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -69, \"c\": -1, \"d\": -87, \"e\": 4, \"f\": 458}", "seed": "8829696295733684106", "semantic_fingerprint": "sha256:0320716aa0f52a3abb7221e5ef8dcabcce412935b0f904c2b819933b8050909f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002016", "prompt": "Evaluate: (6 + 58 / 7) * (859 - (-33))", "solution_steps": ["Divide: 58 / 7 = 58/7", "Add: 6 + 58/7 = 100/7", "Subtract: 859 - (-33) = 892", "Multiply: (100/7) * 892 = 89200/7"], "final_answer": "89200/7", "answer_type": "rational", "kind": "expression", "math_text": "(6 + 58 / 7) * (859 - (-33))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 58, \"c\": 7, \"d\": 859, \"e\": -33}", "seed": "10162295012161818756", "semantic_fingerprint": "sha256:ffbf3eb81a4145c72509016ba1a95cda0073c8af85528430fac4a7191891d4d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002017", "prompt": "Solve for x: 11x = 6(x + 912) + 2", "solution_steps": ["Expand: 11x = 6x + 5472 + 2", "Combine constants: 11x = 6x + 5474", "Subtract 6x from both sides: 5x = 5474", "Divide both sides by 5: x = 5474/5"], "final_answer": "5474/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = 6(x + 912) + 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 912, \"d\": 2}", "seed": "14583300092523619985", "semantic_fingerprint": "sha256:32eae2198721e49a0304c1932c3dffa73a61c47349a3c54603e05a3bc8e5432f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002018", "prompt": "Evaluate: 2 / (8 / (-52)) + 88", "solution_steps": ["Divide: 8 / (-52) = -2/13", "Divide: 2 / (-2/13) = -13", "Add: -13 + 88 = 75"], "final_answer": "75", "answer_type": "integer", "kind": "expression", "math_text": "2 / (8 / (-52)) + 88", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": -52, \"d\": 88}", "seed": "8365194735912355881", "semantic_fingerprint": "sha256:8bb9b5623e6fe75a49d657b9ac7c21054f6eaf8246d30130caf94a27e889492a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002019", "prompt": "Solve the equation 9(x - 7) - 5 = x + 36 for x.", "solution_steps": ["Expand: 9x - 63 - 5 = x + 36", "Combine constants: 9x - 68 = x + 36", "Subtract x from both sides: 8x - 68 = 36", "Add 68 to both sides: 8x = 104", "Divide both sides by 8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) - 5 = x + 36", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 5, \"e\": 36, \"x\": 13}", "seed": "7872449064599817279", "semantic_fingerprint": "sha256:66aff221471c29113fbe576fcce3e761c7da7c9922a2ff84e99d829cc69fd0dc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002020", "prompt": "Calculate: (0 - (-12 - 2)) * (37 + (-603))", "solution_steps": ["Subtract: -12 - 2 = -14", "Subtract: 0 - (-14) = 14", "Add: 37 + (-603) = -566", "Multiply: 14 * (-566) = -7924"], "final_answer": "-7924", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-12 - 2)) * (37 + (-603))", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -12, \"c\": 2, \"d\": 37, \"e\": -603}", "seed": "759060562210907652", "semantic_fingerprint": "sha256:411b0d85c47b0cf70fd7b7a7cac8458cb16e96f4cfdaa1cc4a33879b4b75dbc3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002021", "prompt": "Solve the equation 5x = 8(x + 1) + 35 for x.", "solution_steps": ["Expand: 5x = 8x + 8 + 35", "Combine constants: 5x = 8x + 43", "Subtract 8x from both sides: -3x = 43", "Divide both sides by -3: x = -43/3"], "final_answer": "-43/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 8(x + 1) + 35", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 1, \"d\": 35}", "seed": "10088332156553015619", "semantic_fingerprint": "sha256:d328b9d6365aecd1fe2d8e894445354b7403781b13f1a3c9fbcda111c7e23aa6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002022", "prompt": "What value of x satisfies -4(x + 310) = 3(x - 713) + 848?", "solution_steps": ["Expand: -4x - 1240 = 3(x - 713) + 848", "Expand: -4x - 1240 = 3x - 2139 + 848", "Combine constants: -4x - 1240 = 3x - 1291", "Subtract 3x from both sides: -7x - 1240 = -1291", "Add 1240 to both sides: -7x = -51", "Divide both sides by -7: x = 51/7"], "final_answer": "51/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 310) = 3(x - 713) + 848", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 310, \"c\": 3, \"d\": 713, \"e\": 848}", "seed": "2279854112596424373", "semantic_fingerprint": "sha256:f450ea75304aa550ddf19c98b53e8fcf72dfc5ef7308370a60ffce51403c752f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002023", "prompt": "Find x: -9x - 63 = 7(x - 15)", "solution_steps": ["Expand: -9x - 63 = 7x - 105", "Subtract 7x from both sides: -16x - 63 = -105", "Add 63 to both sides: -16x = -42", "Divide both sides by -16: x = 21/8"], "final_answer": "21/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 63 = 7(x - 15)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 63, \"c\": 7, \"d\": 15}", "seed": "1032381501700691637", "semantic_fingerprint": "sha256:bc525e00a1c3a2d3f0c475d2ece55bec1403084abe0979da438a4749a81a9895", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002024", "prompt": "Solve for x: 8(x - 69) + 544 = 6(x + 5)", "solution_steps": ["Expand: 8x - 552 + 544 = 6(x + 5)", "Expand: 8x - 552 + 544 = 6x + 30", "Combine constants: 8x - 8 = 6x + 30", "Subtract 6x from both sides: 2x - 8 = 30", "Add 8 to both sides: 2x = 38", "Divide both sides by 2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 69) + 544 = 6(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 69, \"c\": 6, \"d\": 5, \"f\": 544, \"x\": 19}", "seed": "7669736381197470479", "semantic_fingerprint": "sha256:c2008fdfc45cc3de23261696caf2a2c2c3254e9060e8b6ef28f5cc2789e4fedf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002025", "prompt": "Evaluate: (-308 / (-670) - 51) * 4", "solution_steps": ["Divide: -308 / (-670) = 154/335", "Subtract: 154/335 - 51 = -16931/335", "Multiply: (-16931/335) * 4 = -67724/335"], "final_answer": "-67724/335", "answer_type": "rational", "kind": "expression", "math_text": "(-308 / (-670) - 51) * 4", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -308, \"b\": -670, \"c\": 51, \"d\": 4}", "seed": "14440869333659584174", "semantic_fingerprint": "sha256:029ca02feafcbe0b95c24eebebd30d638252fcec6372903b981b3fd34920b087", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002026", "prompt": "Calculate: -1 - (-55) / (-35) - 8", "solution_steps": ["Divide: -55 / (-35) = 11/7", "Subtract: -1 - 11/7 = -18/7", "Subtract: -18/7 - 8 = -74/7"], "final_answer": "-74/7", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-55) / (-35) - 8", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -55, \"c\": -35, \"d\": 8}", "seed": "13035586159687496481", "semantic_fingerprint": "sha256:d33227910b4cd5e52038d1addd5945496046aa0a365ac0cf7272997449636a24", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002027", "prompt": "Solve for x: 5(x - 2) + 5 = 10(x + 4)", "solution_steps": ["Expand: 5x - 10 + 5 = 10(x + 4)", "Expand: 5x - 10 + 5 = 10x + 40", "Combine constants: 5x - 5 = 10x + 40", "Subtract 10x from both sides: -5x - 5 = 40", "Add 5 to both sides: -5x = 45", "Divide both sides by -5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 2) + 5 = 10(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 5, \"d\": 10, \"e\": 4}", "seed": "6102135633200175354", "semantic_fingerprint": "sha256:5e6f06281482e30c93c54024eabedf40ccdb0769867f56b8e82a8e1071953343", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002028", "prompt": "Compute: 7 / (2 + (-65)) * (0 - 83 - (-56))", "solution_steps": ["Add: 2 + (-65) = -63", "Divide: 7 / (-63) = -1/9", "Subtract: 0 - 83 = -83", "Subtract: -83 - (-56) = -27", "Multiply: (-1/9) * (-27) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "7 / (2 + (-65)) * (0 - 83 - (-56))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": -65, \"d\": 0, \"e\": 83, \"f\": -56}", "seed": "12483534645417982495", "semantic_fingerprint": "sha256:677408ac59fde71e4c3135313c5878c10426d03fc15574f14912757127a48615", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002029", "prompt": "Evaluate: -1 - (60 + (-362)) / (-549 / (56 * (-6)))", "solution_steps": ["Add: 60 + (-362) = -302", "Multiply: 56 * (-6) = -336", "Divide: -549 / (-336) = 183/112", "Divide: -302 / (183/112) = -33824/183", "Subtract: -1 - (-33824/183) = 33641/183"], "final_answer": "33641/183", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (60 + (-362)) / (-549 / (56 * (-6)))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n n) (/ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 60, \"c\": -362, \"d\": -549, \"e\": 56, \"f\": -6}", "seed": "5507078807185020129", "semantic_fingerprint": "sha256:1159c5f9cb151336ef2ba331f5af3c242b534f37a561792fd65ec968e9bec1ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002030", "prompt": "Compute: 80 / ((-8 * 3 + (-8)) / (-2 * 98))", "solution_steps": ["Multiply: -8 * 3 = -24", "Add: -24 + (-8) = -32", "Multiply: -2 * 98 = -196", "Divide: -32 / (-196) = 8/49", "Divide: 80 / (8/49) = 490"], "final_answer": "490", "answer_type": "integer", "kind": "expression", "math_text": "80 / ((-8 * 3 + (-8)) / (-2 * 98))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (+ (* n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -8, \"c\": 3, \"d\": -8, \"e\": -2, \"f\": 98}", "seed": "16918306812350967084", "semantic_fingerprint": "sha256:2810c70ba9194d456858031f0c174c92d11acefae71d38e3150ddc702001f7f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002031", "prompt": "Calculate: 12 / (-62 * (61 + (-9)))", "solution_steps": ["Add: 61 + (-9) = 52", "Multiply: -62 * 52 = -3224", "Divide: 12 / (-3224) = -3/806"], "final_answer": "-3/806", "answer_type": "rational", "kind": "expression", "math_text": "12 / (-62 * (61 + (-9)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -62, \"c\": 61, \"d\": -9}", "seed": "17483825544350152055", "semantic_fingerprint": "sha256:9138da83fc22e16d2b21c50be3c12205b92a9ce4bccbb832ebae4edc2c3cb693", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002032", "prompt": "Evaluate: (913 / 9 - 90) * 182", "solution_steps": ["Divide: 913 / 9 = 913/9", "Subtract: 913/9 - 90 = 103/9", "Multiply: (103/9) * 182 = 18746/9"], "final_answer": "18746/9", "answer_type": "rational", "kind": "expression", "math_text": "(913 / 9 - 90) * 182", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 913, \"b\": 9, \"c\": 90, \"d\": 182}", "seed": "15145834674611150897", "semantic_fingerprint": "sha256:e19391c64d240221f3424cd1ce975a47b94d4a5e35d5974e4fd84663b2d41006", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002033", "prompt": "Solve the equation 11x - 168 = 4(x - 7) for x.", "solution_steps": ["Expand: 11x - 168 = 4x - 28", "Subtract 4x from both sides: 7x - 168 = -28", "Add 168 to both sides: 7x = 140", "Divide both sides by 7: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 168 = 4(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 7, \"e\": -168, \"x\": 20}", "seed": "13391889864646883691", "semantic_fingerprint": "sha256:ab90b1d6d03fa9b4a0207e004f44aff53fe28edf8dfa7703b3f8a15327c550fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002034", "prompt": "What is 9 * (34 - (4 / (6 + 83) - (-492)))?", "solution_steps": ["Add: 6 + 83 = 89", "Divide: 4 / 89 = 4/89", "Subtract: 4/89 - (-492) = 43792/89", "Subtract: 34 - 43792/89 = -40766/89", "Multiply: 9 * (-40766/89) = -366894/89"], "final_answer": "-366894/89", "answer_type": "rational", "kind": "expression", "math_text": "9 * (34 - (4 / (6 + 83) - (-492)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (- (/ n (+ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 34, \"c\": 4, \"d\": 6, \"e\": 83, \"f\": -492}", "seed": "649160144953194916", "semantic_fingerprint": "sha256:618778fc2cb1b4389c5c0bf347440c9ec9c463dbb3ed3364d28178b70554eae0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002035", "prompt": "Solve for x: 6(x + 13) - 2 = x + 41", "solution_steps": ["Expand: 6x + 78 - 2 = x + 41", "Combine constants: 6x + 76 = x + 41", "Subtract x from both sides: 5x + 76 = 41", "Subtract 76 from both sides: 5x = -35", "Divide both sides by 5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 13) - 2 = x + 41", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 13, \"c\": 2, \"e\": 41, \"x\": -7}", "seed": "18304242953744425665", "semantic_fingerprint": "sha256:84715fa6a5f952a8222e7c901464000a0d13c1c35863b8438b0d3ab72585662b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002036", "prompt": "Find x: 6x - 66 = 7x - 66", "solution_steps": ["Subtract 7x from both sides: -x - 66 = -66", "Add 66 to both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 66 = 7x - 66", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 66, \"c\": 7, \"e\": -66, \"x\": 0}", "seed": "15875577646543980994", "semantic_fingerprint": "sha256:69c90d9748ebc9e26e4d97f6b89463b2b56623a20b613849e68807bac4ff301d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002037", "prompt": "Solve for x: 9(x + 152) - 11 = x + 59", "solution_steps": ["Expand: 9x + 1368 - 11 = x + 59", "Combine constants: 9x + 1357 = x + 59", "Subtract x from both sides: 8x + 1357 = 59", "Subtract 1357 from both sides: 8x = -1298", "Divide both sides by 8: x = -649/4"], "final_answer": "-649/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 152) - 11 = x + 59", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 152, \"c\": 11, \"d\": 59}", "seed": "18203604853675041225", "semantic_fingerprint": "sha256:88cc69ab98211f5cfa00ec6e269ee31f521cd3ed27297d77a2d3a9e2b0841082", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002038", "prompt": "What value of x satisfies -11x = 2(x + 7) + 155?", "solution_steps": ["Expand: -11x = 2x + 14 + 155", "Combine constants: -11x = 2x + 169", "Subtract 2x from both sides: -13x = 169", "Divide both sides by -13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = 2(x + 7) + 155", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"c\": 7, \"e\": 155, \"x\": -13}", "seed": "10124387894261078278", "semantic_fingerprint": "sha256:1020829ed5ad7e721522bdd622526ee002d18e79c69ba114e9556881d49b5e15", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002039", "prompt": "Compute: -5 / (-603) * (-6 + (-53) + 7)", "solution_steps": ["Divide: -5 / (-603) = 5/603", "Add: -6 + (-53) = -59", "Add: -59 + 7 = -52", "Multiply: (5/603) * (-52) = -260/603"], "final_answer": "-260/603", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-603) * (-6 + (-53) + 7)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -603, \"c\": -6, \"d\": -53, \"e\": 7}", "seed": "5634350568223142168", "semantic_fingerprint": "sha256:e8971c7b89f6a531a352ac10d1a1ac232f52869bbf3355b529d1406146340f5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002040", "prompt": "Evaluate: 0 - (-6 - (7 * (-7) - (-198)))", "solution_steps": ["Multiply: 7 * (-7) = -49", "Subtract: -49 - (-198) = 149", "Subtract: -6 - 149 = -155", "Subtract: 0 - (-155) = 155"], "final_answer": "155", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-6 - (7 * (-7) - (-198)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (- (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6, \"c\": 7, \"d\": -7, \"e\": -198}", "seed": "5510787696952166159", "semantic_fingerprint": "sha256:397da652b55f637afad2f54b5c195d5a718753426239af00eb4c9be09fba5116", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002041", "prompt": "What value of x satisfies -5x - 8 = 10x - 173?", "solution_steps": ["Subtract 10x from both sides: -15x - 8 = -173", "Add 8 to both sides: -15x = -165", "Divide both sides by -15: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 8 = 10x - 173", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": 10, \"e\": -173, \"x\": 11}", "seed": "10721291118349004558", "semantic_fingerprint": "sha256:c14d2434c142d8fbbb3e4d03ffd65c58059f316e1726bfff0f899b18a4b58c5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002042", "prompt": "What is 0 * (47 / 9) - (-904) - (-3) * (-5)?", "solution_steps": ["Divide: 47 / 9 = 47/9", "Multiply: 0 * (47/9) = 0", "Subtract: 0 - (-904) = 904", "Multiply: -3 * (-5) = 15", "Subtract: 904 - 15 = 889"], "final_answer": "889", "answer_type": "integer", "kind": "expression", "math_text": "0 * (47 / 9) - (-904) - (-3) * (-5)", "variable": null, "family": "expression_5op", "shape": "(- (- (* n (/ n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 47, \"c\": 9, \"d\": -904, \"e\": -3, \"f\": -5}", "seed": "2961127813724916493", "semantic_fingerprint": "sha256:87024939b989dfc84f82e22567231b4a39899d8bdb4d1d0d6919f1c70d8db49b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002043", "prompt": "Evaluate: 29 * (-409 * 9) * (-1) - (0 + (-99))", "solution_steps": ["Multiply: -409 * 9 = -3681", "Multiply: 29 * (-3681) = -106749", "Multiply: -106749 * (-1) = 106749", "Add: 0 + (-99) = -99", "Subtract: 106749 - (-99) = 106848"], "final_answer": "106848", "answer_type": "integer", "kind": "expression", "math_text": "29 * (-409 * 9) * (-1) - (0 + (-99))", "variable": null, "family": "expression_5op", "shape": "(- (* (* n (* n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -409, \"c\": 9, \"d\": -1, \"e\": 0, \"f\": -99}", "seed": "5485013174456970997", "semantic_fingerprint": "sha256:c0543f5144445866452cc63b93e8a3f77bc7f0210605f9624e8c282ad425d43c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002044", "prompt": "Evaluate: 0 / 93 * (-35 / 230)", "solution_steps": ["Divide: 0 / 93 = 0", "Divide: -35 / 230 = -7/46", "Multiply: 0 * (-7/46) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 93 * (-35 / 230)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 93, \"c\": -35, \"d\": 230}", "seed": "16050726495775497964", "semantic_fingerprint": "sha256:9c4d85c98de99d4452d4bc0f69c0392d8c10391c3e9566b475bf41c91da3518a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002045", "prompt": "Calculate: 8 - (-655 + (-25 + 0 * (-1)))", "solution_steps": ["Multiply: 0 * (-1) = 0", "Add: -25 + 0 = -25", "Add: -655 + (-25) = -680", "Subtract: 8 - (-680) = 688"], "final_answer": "688", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-655 + (-25 + 0 * (-1)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -655, \"c\": -25, \"d\": 0, \"e\": -1}", "seed": "2887907829854179539", "semantic_fingerprint": "sha256:f11d4559d097d4d93d6167375d6f96eda96a7ef5869a4bc39e1cace44c44cd07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002046", "prompt": "Calculate: (-9 + 45) / (-27 + (-7))", "solution_steps": ["Add: -9 + 45 = 36", "Add: -27 + (-7) = -34", "Divide: 36 / (-34) = -18/17"], "final_answer": "-18/17", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 45) / (-27 + (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 45, \"c\": -27, \"d\": -7}", "seed": "17461639648753949760", "semantic_fingerprint": "sha256:c39178b96597d0217458900d26414fe71d48a8ce8326ba128e858735e999c8a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002047", "prompt": "Compute: (7 - (82 + (-1))) * (-4)", "solution_steps": ["Add: 82 + (-1) = 81", "Subtract: 7 - 81 = -74", "Multiply: -74 * (-4) = 296"], "final_answer": "296", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (82 + (-1))) * (-4)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 82, \"c\": -1, \"d\": -4}", "seed": "14651288484934563930", "semantic_fingerprint": "sha256:3548cf44236f48cb8994a625a03832dcc8074b1b9701164e8186f4f6d65729da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002048", "prompt": "Solve for x: -12(x + 475) - 309 = x + 6", "solution_steps": ["Expand: -12x - 5700 - 309 = x + 6", "Combine constants: -12x - 6009 = x + 6", "Subtract x from both sides: -13x - 6009 = 6", "Add 6009 to both sides: -13x = 6015", "Divide both sides by -13: x = -6015/13"], "final_answer": "-6015/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 475) - 309 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 475, \"c\": 309, \"d\": 6}", "seed": "9898264083002920969", "semantic_fingerprint": "sha256:8ab1e45f2523e13354ffbfbe56192cf5debe92a741d98e8b0e72198e7571cb9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002049", "prompt": "Compute: -682 - (-23) * (954 / (-10))", "solution_steps": ["Divide: 954 / (-10) = -477/5", "Multiply: -23 * (-477/5) = 10971/5", "Subtract: -682 - 10971/5 = -14381/5"], "final_answer": "-14381/5", "answer_type": "rational", "kind": "expression", "math_text": "-682 - (-23) * (954 / (-10))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -682, \"b\": -23, \"c\": 954, \"d\": -10}", "seed": "14583126751357550289", "semantic_fingerprint": "sha256:8a1db6d7c02d57d2b96ce7864ed376fb08125dc867b89e45c763ed6b30083146", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002050", "prompt": "Evaluate: (-200 + (-960) - 0 - (-30)) * 29", "solution_steps": ["Add: -200 + (-960) = -1160", "Subtract: -1160 - 0 = -1160", "Subtract: -1160 - (-30) = -1130", "Multiply: -1130 * 29 = -32770"], "final_answer": "-32770", "answer_type": "integer", "kind": "expression", "math_text": "(-200 + (-960) - 0 - (-30)) * 29", "variable": null, "family": "expression_4op", "shape": "(* (- (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -200, \"b\": -960, \"c\": 0, \"d\": -30, \"e\": 29}", "seed": "9075835886628820958", "semantic_fingerprint": "sha256:9275d50f0f28215a011616a2b035c97e71e7b692584347c02882c4848e89887b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002051", "prompt": "Compute: -692 - (39 + 796 * (-63)) + 18 + (-34)", "solution_steps": ["Multiply: 796 * (-63) = -50148", "Add: 39 + (-50148) = -50109", "Subtract: -692 - (-50109) = 49417", "Add: 49417 + 18 = 49435", "Add: 49435 + (-34) = 49401"], "final_answer": "49401", "answer_type": "integer", "kind": "expression", "math_text": "-692 - (39 + 796 * (-63)) + 18 + (-34)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n (+ n (* n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -692, \"b\": 39, \"c\": 796, \"d\": -63, \"e\": 18, \"f\": -34}", "seed": "9860296197741940801", "semantic_fingerprint": "sha256:957f3e28e46fb27f9b95a970e4dd81e6d94940885949fe5e9b8c0084db0cf9d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002052", "prompt": "Calculate: (-755 * 9 + 4) / (-3 + (-1 + (-4)))", "solution_steps": ["Multiply: -755 * 9 = -6795", "Add: -6795 + 4 = -6791", "Add: -1 + (-4) = -5", "Add: -3 + (-5) = -8", "Divide: -6791 / (-8) = 6791/8"], "final_answer": "6791/8", "answer_type": "rational", "kind": "expression", "math_text": "(-755 * 9 + 4) / (-3 + (-1 + (-4)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -755, \"b\": 9, \"c\": 4, \"d\": -3, \"e\": -1, \"f\": -4}", "seed": "11485922208276145355", "semantic_fingerprint": "sha256:b23164413c18031b8091c13d1471ed4955c2c24beca4afe7ad88bc6190319a72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002053", "prompt": "Evaluate: (98 / 3 - 348) * (-921)", "solution_steps": ["Divide: 98 / 3 = 98/3", "Subtract: 98/3 - 348 = -946/3", "Multiply: (-946/3) * (-921) = 290422"], "final_answer": "290422", "answer_type": "integer", "kind": "expression", "math_text": "(98 / 3 - 348) * (-921)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 3, \"c\": 348, \"d\": -921}", "seed": "17898107984773870454", "semantic_fingerprint": "sha256:d50020aecda65b1f9e4cf6e4d7e1c41de6d5678ea3e6ce58348a9a53564a39bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002054", "prompt": "Solve the equation 4x - 3 = -12(x - 5) for x.", "solution_steps": ["Expand: 4x - 3 = -12x + 60", "Add 12x to both sides: 16x - 3 = 60", "Add 3 to both sides: 16x = 63", "Divide both sides by 16: x = 63/16"], "final_answer": "63/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 3 = -12(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": -12, \"d\": 5}", "seed": "14949485919688800981", "semantic_fingerprint": "sha256:623eec2b175ab5b8c1882e836db220ebde1f850345c9521b1c3c0a25501cf06e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002055", "prompt": "Find x: 5(x + 97) = 2(x - 26) + 504", "solution_steps": ["Expand: 5x + 485 = 2(x - 26) + 504", "Expand: 5x + 485 = 2x - 52 + 504", "Combine constants: 5x + 485 = 2x + 452", "Subtract 2x from both sides: 3x + 485 = 452", "Subtract 485 from both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 97) = 2(x - 26) + 504", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 97, \"c\": 2, \"d\": 26, \"f\": 504, \"x\": -11}", "seed": "13373160061375503343", "semantic_fingerprint": "sha256:6a517d2629c04a67da348a1a8a6bd5a6749cc3510169df56632d420b5634a266", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002056", "prompt": "Compute: 0 * ((30 + (-844)) / (886 / (-8)))", "solution_steps": ["Add: 30 + (-844) = -814", "Divide: 886 / (-8) = -443/4", "Divide: -814 / (-443/4) = 3256/443", "Multiply: 0 * (3256/443) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * ((30 + (-844)) / (886 / (-8)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 30, \"c\": -844, \"d\": 886, \"e\": -8}", "seed": "18307628064425822277", "semantic_fingerprint": "sha256:676d22a3e56058c126ad9cefae1efcbdfbe9b9b76a72988d3e73d7396bc2fc47", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002057", "prompt": "Compute: 403 * (5 + (-1) * (-911))", "solution_steps": ["Multiply: -1 * (-911) = 911", "Add: 5 + 911 = 916", "Multiply: 403 * 916 = 369148"], "final_answer": "369148", "answer_type": "integer", "kind": "expression", "math_text": "403 * (5 + (-1) * (-911))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 403, \"b\": 5, \"c\": -1, \"d\": -911}", "seed": "8739950341224256735", "semantic_fingerprint": "sha256:7934d5c4fad32dd691541c4539d39c97a4aa5663cbbab7190c8840b2a37e0e4e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002058", "prompt": "Solve the equation 4(x - 57) + 415 = 6(x + 2) for x.", "solution_steps": ["Expand: 4x - 228 + 415 = 6(x + 2)", "Expand: 4x - 228 + 415 = 6x + 12", "Combine constants: 4x + 187 = 6x + 12", "Subtract 6x from both sides: -2x + 187 = 12", "Subtract 187 from both sides: -2x = -175", "Divide both sides by -2: x = 175/2"], "final_answer": "175/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 57) + 415 = 6(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 57, \"c\": 415, \"d\": 6, \"e\": 2}", "seed": "18299317183532464266", "semantic_fingerprint": "sha256:be9b923e47a40f57b195335194f3af53567883546b6fb08af66daa86ff1f4368", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002059", "prompt": "Evaluate: 8 * 77 + (-6 - 68)", "solution_steps": ["Multiply: 8 * 77 = 616", "Subtract: -6 - 68 = -74", "Add: 616 + (-74) = 542"], "final_answer": "542", "answer_type": "integer", "kind": "expression", "math_text": "8 * 77 + (-6 - 68)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 77, \"c\": -6, \"d\": 68}", "seed": "3435346000567944469", "semantic_fingerprint": "sha256:1a3d59337bd76a4aa480d799ca03cdbc263cab476aabe592a3e081055eccbe47", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002060", "prompt": "What is 1 * (-58 / ((-75 + 84) / 160)) * 5?", "solution_steps": ["Add: -75 + 84 = 9", "Divide: 9 / 160 = 9/160", "Divide: -58 / (9/160) = -9280/9", "Multiply: 1 * (-9280/9) = -9280/9", "Multiply: (-9280/9) * 5 = -46400/9"], "final_answer": "-46400/9", "answer_type": "rational", "kind": "expression", "math_text": "1 * (-58 / ((-75 + 84) / 160)) * 5", "variable": null, "family": "expression_5op", "shape": "(* (* n (/ n (/ (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -58, \"c\": -75, \"d\": 84, \"e\": 160, \"f\": 5}", "seed": "12685881608215977471", "semantic_fingerprint": "sha256:dd276f2c2bad93f5187c41a34f23c40ada1a897bcf6dc9449faa8735e3475942", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002061", "prompt": "Solve for x: -7(x - 438) - 711 = x + 30", "solution_steps": ["Expand: -7x + 3066 - 711 = x + 30", "Combine constants: -7x + 2355 = x + 30", "Subtract x from both sides: -8x + 2355 = 30", "Subtract 2355 from both sides: -8x = -2325", "Divide both sides by -8: x = 2325/8"], "final_answer": "2325/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 438) - 711 = x + 30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 438, \"c\": 711, \"d\": 30}", "seed": "5487135929398913717", "semantic_fingerprint": "sha256:ff4e3629ffa1d6d0fdb374e698c6c5a2b7c9b543b6740e9487641480e7b65f58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002062", "prompt": "Find x: -10x - 3 = 5x - 273", "solution_steps": ["Subtract 5x from both sides: -15x - 3 = -273", "Add 3 to both sides: -15x = -270", "Divide both sides by -15: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 3 = 5x - 273", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": 5, \"e\": -273, \"x\": 18}", "seed": "16689496179962874710", "semantic_fingerprint": "sha256:c210a3a173cf0ae726ed8bcc0126947f7766ab6c622fe70574dc73cfe0ed174f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002063", "prompt": "What value of x satisfies 5(x + 62) = 9(x - 45) + 743?", "solution_steps": ["Expand: 5x + 310 = 9(x - 45) + 743", "Expand: 5x + 310 = 9x - 405 + 743", "Combine constants: 5x + 310 = 9x + 338", "Subtract 9x from both sides: -4x + 310 = 338", "Subtract 310 from both sides: -4x = 28", "Divide both sides by -4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 62) = 9(x - 45) + 743", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 62, \"c\": 9, \"d\": 45, \"f\": 743, \"x\": -7}", "seed": "5563230250021593219", "semantic_fingerprint": "sha256:da636874b6e8c9242e1485c858f4d8cd0aec5b795ff87586f497d51d10c6f5de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002064", "prompt": "Compute: 65 / (-29) + (73 + (-6)) + (-366)", "solution_steps": ["Divide: 65 / (-29) = -65/29", "Add: 73 + (-6) = 67", "Add: -65/29 + 67 = 1878/29", "Add: 1878/29 + (-366) = -8736/29"], "final_answer": "-8736/29", "answer_type": "rational", "kind": "expression", "math_text": "65 / (-29) + (73 + (-6)) + (-366)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -29, \"c\": 73, \"d\": -6, \"e\": -366}", "seed": "12810200334150095191", "semantic_fingerprint": "sha256:a60d49f21d9c0d0b984dfdb8188511c143a8910970fa33ec64279a22e251a8ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002065", "prompt": "Calculate: 65 + (9 + (809 + (-34))) * (0 / 5)", "solution_steps": ["Add: 809 + (-34) = 775", "Add: 9 + 775 = 784", "Divide: 0 / 5 = 0", "Multiply: 784 * 0 = 0", "Add: 65 + 0 = 65"], "final_answer": "65", "answer_type": "integer", "kind": "expression", "math_text": "65 + (9 + (809 + (-34))) * (0 / 5)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (+ n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 9, \"c\": 809, \"d\": -34, \"e\": 0, \"f\": 5}", "seed": "16417337353625177184", "semantic_fingerprint": "sha256:68f8a2be1369bff2499f89665f18b7278cfd8c95b025228faf7b9ae839c0db5d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002066", "prompt": "Evaluate: (-400 - 9 * 87 * 9) * (-82)", "solution_steps": ["Multiply: 9 * 87 = 783", "Multiply: 783 * 9 = 7047", "Subtract: -400 - 7047 = -7447", "Multiply: -7447 * (-82) = 610654"], "final_answer": "610654", "answer_type": "integer", "kind": "expression", "math_text": "(-400 - 9 * 87 * 9) * (-82)", "variable": null, "family": "expression_4op", "shape": "(* (- n (* (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -400, \"b\": 9, \"c\": 87, \"d\": 9, \"e\": -82}", "seed": "10565897561711656889", "semantic_fingerprint": "sha256:61d900ea94bc7b51758ab725dd2360dbb3e2b29633c24f7458179a715697cc89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002067", "prompt": "What is (2 - 4) / (-6 - 32) / 4?", "solution_steps": ["Subtract: 2 - 4 = -2", "Subtract: -6 - 32 = -38", "Divide: -2 / (-38) = 1/19", "Divide: (1/19) / 4 = 1/76"], "final_answer": "1/76", "answer_type": "rational", "kind": "expression", "math_text": "(2 - 4) / (-6 - 32) / 4", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": -6, \"d\": 32, \"e\": 4}", "seed": "15726467878657668202", "semantic_fingerprint": "sha256:39676d224da1ad9511b300603a5f95d982e8fe64ccdd8a7ed7b6d567d0f3deee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002068", "prompt": "Calculate: (791 - (-6)) / 5 * (-59 - (-851))", "solution_steps": ["Subtract: 791 - (-6) = 797", "Divide: 797 / 5 = 797/5", "Subtract: -59 - (-851) = 792", "Multiply: (797/5) * 792 = 631224/5"], "final_answer": "631224/5", "answer_type": "rational", "kind": "expression", "math_text": "(791 - (-6)) / 5 * (-59 - (-851))", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 791, \"b\": -6, \"c\": 5, \"d\": -59, \"e\": -851}", "seed": "5669391422411170060", "semantic_fingerprint": "sha256:f49677c02f90259e7acd146c911838ee1ec64644ed4c2d369cba7ab6e2bbe03c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002069", "prompt": "Evaluate: -86 - (-686) - (76 - 39) * 3 / (-4)", "solution_steps": ["Subtract: -86 - (-686) = 600", "Subtract: 76 - 39 = 37", "Multiply: 37 * 3 = 111", "Divide: 111 / (-4) = -111/4", "Subtract: 600 - (-111/4) = 2511/4"], "final_answer": "2511/4", "answer_type": "rational", "kind": "expression", "math_text": "-86 - (-686) - (76 - 39) * 3 / (-4)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (* (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -686, \"c\": 76, \"d\": 39, \"e\": 3, \"f\": -4}", "seed": "3895210441504533628", "semantic_fingerprint": "sha256:f652941ed9e4d9b58d3d6c66ff9f71f285f99d5f43414834d85834354951fdd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002070", "prompt": "Compute: -39 + (4 + (123 - (-88))) + (-78)", "solution_steps": ["Subtract: 123 - (-88) = 211", "Add: 4 + 211 = 215", "Add: -39 + 215 = 176", "Add: 176 + (-78) = 98"], "final_answer": "98", "answer_type": "integer", "kind": "expression", "math_text": "-39 + (4 + (123 - (-88))) + (-78)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 4, \"c\": 123, \"d\": -88, \"e\": -78}", "seed": "13213969893225887464", "semantic_fingerprint": "sha256:ac64a3059c597d0eefa15c5450c98b06c1ce90b17b5aeef065d9cb2af55f2381", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002071", "prompt": "Evaluate: -58 / (-1) / (480 / 163) * (-8)", "solution_steps": ["Divide: -58 / (-1) = 58", "Divide: 480 / 163 = 480/163", "Divide: 58 / (480/163) = 4727/240", "Multiply: (4727/240) * (-8) = -4727/30"], "final_answer": "-4727/30", "answer_type": "rational", "kind": "expression", "math_text": "-58 / (-1) / (480 / 163) * (-8)", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -1, \"c\": 480, \"d\": 163, \"e\": -8}", "seed": "15987083312351891786", "semantic_fingerprint": "sha256:9c20d244dfeb745bc6009ca7a0d606b82e182f28d9a68d47d9adf9768f2a160f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002072", "prompt": "Compute: 17 - (-4 + (-72)) / 9", "solution_steps": ["Add: -4 + (-72) = -76", "Divide: -76 / 9 = -76/9", "Subtract: 17 - (-76/9) = 229/9"], "final_answer": "229/9", "answer_type": "rational", "kind": "expression", "math_text": "17 - (-4 + (-72)) / 9", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -4, \"c\": -72, \"d\": 9}", "seed": "8736062775002943561", "semantic_fingerprint": "sha256:80ce312794391b8770f31f23bb2cc8f09c74b3ad803199ece9ae8e047b097486", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002073", "prompt": "Evaluate: -2 / (-27) * (6 * 2) / 844", "solution_steps": ["Divide: -2 / (-27) = 2/27", "Multiply: 6 * 2 = 12", "Multiply: (2/27) * 12 = 8/9", "Divide: (8/9) / 844 = 2/1899"], "final_answer": "2/1899", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-27) * (6 * 2) / 844", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -27, \"c\": 6, \"d\": 2, \"e\": 844}", "seed": "3339879400962242182", "semantic_fingerprint": "sha256:8640647689ce2007916e627b8c1075095676c73ce919cb5693a6033cf9e5ea10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002074", "prompt": "Solve for x: -4(x + 2) - 495 = x + 173", "solution_steps": ["Expand: -4x - 8 - 495 = x + 173", "Combine constants: -4x - 503 = x + 173", "Subtract x from both sides: -5x - 503 = 173", "Add 503 to both sides: -5x = 676", "Divide both sides by -5: x = -676/5"], "final_answer": "-676/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 2) - 495 = x + 173", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": 495, \"d\": 173}", "seed": "3988508156952333069", "semantic_fingerprint": "sha256:424ae07eadfd8ae24322eefde17a049684423be466ef1a9d87c17ba8f58237cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002075", "prompt": "Calculate: 4 * (-4) - 47 / (-54 + (-53))", "solution_steps": ["Multiply: 4 * (-4) = -16", "Add: -54 + (-53) = -107", "Divide: 47 / (-107) = -47/107", "Subtract: -16 - (-47/107) = -1665/107"], "final_answer": "-1665/107", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-4) - 47 / (-54 + (-53))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -4, \"c\": 47, \"d\": -54, \"e\": -53}", "seed": "12941606551281779718", "semantic_fingerprint": "sha256:711c78a0797357b1b6f5b1e0c6e059d72a71819c9955872a872031a5247f283d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002076", "prompt": "Evaluate: 3 / ((-320 - (-52)) / 294 * 477)", "solution_steps": ["Subtract: -320 - (-52) = -268", "Divide: -268 / 294 = -134/147", "Multiply: (-134/147) * 477 = -21306/49", "Divide: 3 / (-21306/49) = -49/7102"], "final_answer": "-49/7102", "answer_type": "rational", "kind": "expression", "math_text": "3 / ((-320 - (-52)) / 294 * 477)", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -320, \"c\": -52, \"d\": 294, \"e\": 477}", "seed": "4502819526335719389", "semantic_fingerprint": "sha256:39dcc3dd83d0fc718a34e4837e3768bba32af65559ee1c120a003700b52d97f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002077", "prompt": "What is -21 / 33 * (256 - (-84 + 7 - (-175)))?", "solution_steps": ["Divide: -21 / 33 = -7/11", "Add: -84 + 7 = -77", "Subtract: -77 - (-175) = 98", "Subtract: 256 - 98 = 158", "Multiply: (-7/11) * 158 = -1106/11"], "final_answer": "-1106/11", "answer_type": "rational", "kind": "expression", "math_text": "-21 / 33 * (256 - (-84 + 7 - (-175)))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (- n (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 33, \"c\": 256, \"d\": -84, \"e\": 7, \"f\": -175}", "seed": "16037190494893163613", "semantic_fingerprint": "sha256:35130fd88d5a16d7f105ef35f7c9fa99179c91f1a94f7f35f042c3ed11c82221", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002078", "prompt": "Solve for x: -4(x + 5) + 192 = x + 197", "solution_steps": ["Expand: -4x - 20 + 192 = x + 197", "Combine constants: -4x + 172 = x + 197", "Subtract x from both sides: -5x + 172 = 197", "Subtract 172 from both sides: -5x = 25", "Divide both sides by -5: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 5) + 192 = x + 197", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 192, \"e\": 197, \"x\": -5}", "seed": "14818943132793991182", "semantic_fingerprint": "sha256:57f4c1c2d60807df2554762dca0c34f9209118a9f486260fe7926e57d4f9192b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002079", "prompt": "Calculate: 90 / (-340 / (-7)) * 82 / 534", "solution_steps": ["Divide: -340 / (-7) = 340/7", "Divide: 90 / (340/7) = 63/34", "Multiply: (63/34) * 82 = 2583/17", "Divide: (2583/17) / 534 = 861/3026"], "final_answer": "861/3026", "answer_type": "rational", "kind": "expression", "math_text": "90 / (-340 / (-7)) * 82 / 534", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -340, \"c\": -7, \"d\": 82, \"e\": 534}", "seed": "11415370138064824677", "semantic_fingerprint": "sha256:aff9c641336794bc4e5e1f6475a2a95190969b4d749153c3714db22712d8bb7f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002080", "prompt": "What value of x satisfies -9(x - 68) - 44 = x + 678?", "solution_steps": ["Expand: -9x + 612 - 44 = x + 678", "Combine constants: -9x + 568 = x + 678", "Subtract x from both sides: -10x + 568 = 678", "Subtract 568 from both sides: -10x = 110", "Divide both sides by -10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 68) - 44 = x + 678", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 68, \"c\": 44, \"e\": 678, \"x\": -11}", "seed": "13263669537370371442", "semantic_fingerprint": "sha256:f2ec1ba70259eaf531cc46ac7d8a925b06d21e5b35c336178dc3451b4c1f6198", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002081", "prompt": "What value of x satisfies 10x = 5(x + 370) + 14?", "solution_steps": ["Expand: 10x = 5x + 1850 + 14", "Combine constants: 10x = 5x + 1864", "Subtract 5x from both sides: 5x = 1864", "Divide both sides by 5: x = 1864/5"], "final_answer": "1864/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 5(x + 370) + 14", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 370, \"d\": 14}", "seed": "943210863699276407", "semantic_fingerprint": "sha256:600a72614a47431471b7423f310ee4d6ec102ced66b9d4fcbca6d180d1227c6f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002082", "prompt": "Calculate: 3 + (-19 + (-85 + (-571)) / (303 + (-2)))", "solution_steps": ["Add: -85 + (-571) = -656", "Add: 303 + (-2) = 301", "Divide: -656 / 301 = -656/301", "Add: -19 + (-656/301) = -6375/301", "Add: 3 + (-6375/301) = -5472/301"], "final_answer": "-5472/301", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-19 + (-85 + (-571)) / (303 + (-2)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (/ (+ n n) (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -19, \"c\": -85, \"d\": -571, \"e\": 303, \"f\": -2}", "seed": "1032370529086824426", "semantic_fingerprint": "sha256:564f6fb6241cbe83255e798ed9ee5fcad5483fb21072c699f20c43ee7157acb9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002083", "prompt": "Compute: (-31 / 57 + (-699 + 39)) / (-28)", "solution_steps": ["Divide: -31 / 57 = -31/57", "Add: -699 + 39 = -660", "Add: -31/57 + (-660) = -37651/57", "Divide: (-37651/57) / (-28) = 37651/1596"], "final_answer": "37651/1596", "answer_type": "rational", "kind": "expression", "math_text": "(-31 / 57 + (-699 + 39)) / (-28)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 57, \"c\": -699, \"d\": 39, \"e\": -28}", "seed": "17509897615550943332", "semantic_fingerprint": "sha256:7622f0ce4096e3750d77907f5dcd5797db2aae78f1e161b78bcd88357ad0cf34", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002084", "prompt": "What is 9 * (-76) * (-9 / (-6 - 6))?", "solution_steps": ["Multiply: 9 * (-76) = -684", "Subtract: -6 - 6 = -12", "Divide: -9 / (-12) = 3/4", "Multiply: -684 * (3/4) = -513"], "final_answer": "-513", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-76) * (-9 / (-6 - 6))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -76, \"c\": -9, \"d\": -6, \"e\": 6}", "seed": "17798551425244572550", "semantic_fingerprint": "sha256:040ca13f06ba3802ee34651775102b1818ac1244ed2ddd4cb04805d9519bfce9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002085", "prompt": "Solve the equation -11(x + 6) = 9(x - 6) + 108 for x.", "solution_steps": ["Expand: -11x - 66 = 9(x - 6) + 108", "Expand: -11x - 66 = 9x - 54 + 108", "Combine constants: -11x - 66 = 9x + 54", "Subtract 9x from both sides: -20x - 66 = 54", "Add 66 to both sides: -20x = 120", "Divide both sides by -20: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 6) = 9(x - 6) + 108", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 9, \"d\": 6, \"f\": 108, \"x\": -6}", "seed": "16678077051135162524", "semantic_fingerprint": "sha256:422f8f24c7248aa8ef6f48edc982de6293fa42793df52fd6632d58b1c0ce5458", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002086", "prompt": "What value of x satisfies 9(x + 910) - 849 = x + 417?", "solution_steps": ["Expand: 9x + 8190 - 849 = x + 417", "Combine constants: 9x + 7341 = x + 417", "Subtract x from both sides: 8x + 7341 = 417", "Subtract 7341 from both sides: 8x = -6924", "Divide both sides by 8: x = -1731/2"], "final_answer": "-1731/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 910) - 849 = x + 417", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 910, \"c\": 849, \"d\": 417}", "seed": "11023833061317429883", "semantic_fingerprint": "sha256:e1778659cda06b7fece43a2365c1fdda8453cf8ac1040cc967c2e56b16a0d61b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002087", "prompt": "Evaluate: -5 * (83 + 253) + (65 + 92)", "solution_steps": ["Add: 83 + 253 = 336", "Multiply: -5 * 336 = -1680", "Add: 65 + 92 = 157", "Add: -1680 + 157 = -1523"], "final_answer": "-1523", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (83 + 253) + (65 + 92)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 83, \"c\": 253, \"d\": 65, \"e\": 92}", "seed": "6443246157943638203", "semantic_fingerprint": "sha256:5c331855520d5ecf9378f5cf7d31e1414b0928cffb2b9c6035069db608f71ea2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002088", "prompt": "Find x: 4(x + 5) - 44 = x + 21", "solution_steps": ["Expand: 4x + 20 - 44 = x + 21", "Combine constants: 4x - 24 = x + 21", "Subtract x from both sides: 3x - 24 = 21", "Add 24 to both sides: 3x = 45", "Divide both sides by 3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 5) - 44 = x + 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 44, \"e\": 21, \"x\": 15}", "seed": "3377110612885201056", "semantic_fingerprint": "sha256:93356b4c6097aa9bd40b604a976250cf12b678b76823008efe3db900528dc1b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002089", "prompt": "Solve for x: -2(x + 998) + 787 = x + 12", "solution_steps": ["Expand: -2x - 1996 + 787 = x + 12", "Combine constants: -2x - 1209 = x + 12", "Subtract x from both sides: -3x - 1209 = 12", "Add 1209 to both sides: -3x = 1221", "Divide both sides by -3: x = -407"], "final_answer": "-407", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 998) + 787 = x + 12", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 998, \"c\": 787, \"d\": 12}", "seed": "1844112927126712963", "semantic_fingerprint": "sha256:ab7f9699258b6ad04f68e893a6dcd44397abc47e3c31188f57420bc292dfc242", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002090", "prompt": "What value of x satisfies 4(x - 42) - 2 = x + 4?", "solution_steps": ["Expand: 4x - 168 - 2 = x + 4", "Combine constants: 4x - 170 = x + 4", "Subtract x from both sides: 3x - 170 = 4", "Add 170 to both sides: 3x = 174", "Divide both sides by 3: x = 58"], "final_answer": "58", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 42) - 2 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 42, \"c\": 2, \"d\": 4}", "seed": "7844937252550527734", "semantic_fingerprint": "sha256:9006e6b3040ac21bba45de3177529c015c0fb60d14ab1483e1bd45954c580329", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002091", "prompt": "Find x: 5(x + 34) - 5 = x + 145", "solution_steps": ["Expand: 5x + 170 - 5 = x + 145", "Combine constants: 5x + 165 = x + 145", "Subtract x from both sides: 4x + 165 = 145", "Subtract 165 from both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 34) - 5 = x + 145", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 34, \"c\": 5, \"e\": 145, \"x\": -5}", "seed": "4725847590835179659", "semantic_fingerprint": "sha256:ed547113829175da5036ec7510291225861a2f143b7e8edb888dbd767973f375", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002092", "prompt": "Calculate: -3 * (-591 / (916 * 6) * (-38))", "solution_steps": ["Multiply: 916 * 6 = 5496", "Divide: -591 / 5496 = -197/1832", "Multiply: (-197/1832) * (-38) = 3743/916", "Multiply: -3 * (3743/916) = -11229/916"], "final_answer": "-11229/916", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-591 / (916 * 6) * (-38))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -591, \"c\": 916, \"d\": 6, \"e\": -38}", "seed": "2633267473976034814", "semantic_fingerprint": "sha256:7ad0ded4ea4e19f6a9b774bdf9f9f1a639b8f22bfa5b23e4d0a1c1602ed326a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002093", "prompt": "What value of x satisfies -7(x + 95) - 652 = x + 29?", "solution_steps": ["Expand: -7x - 665 - 652 = x + 29", "Combine constants: -7x - 1317 = x + 29", "Subtract x from both sides: -8x - 1317 = 29", "Add 1317 to both sides: -8x = 1346", "Divide both sides by -8: x = -673/4"], "final_answer": "-673/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 95) - 652 = x + 29", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 95, \"c\": 652, \"d\": 29}", "seed": "12890105640675931186", "semantic_fingerprint": "sha256:98ab837ce888e2fe800d5ba18b090fb95b53c8254ffae1b586958aa55d57654a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002094", "prompt": "Solve the equation 3x - 9 = 4(x - 376) for x.", "solution_steps": ["Expand: 3x - 9 = 4x - 1504", "Subtract 4x from both sides: -x - 9 = -1504", "Add 9 to both sides: -x = -1495", "Divide both sides by -1: x = 1495"], "final_answer": "1495", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 9 = 4(x - 376)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 4, \"d\": 376}", "seed": "14308016386079420749", "semantic_fingerprint": "sha256:4274b49b04e60dca2842584e7b46b61bdb9f0ad3df8046ceb23240d3a414b985", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002095", "prompt": "What value of x satisfies 11x - 210 = 2x - 381?", "solution_steps": ["Subtract 2x from both sides: 9x - 210 = -381", "Add 210 to both sides: 9x = -171", "Divide both sides by 9: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 210 = 2x - 381", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 210, \"c\": 2, \"e\": -381, \"x\": -19}", "seed": "9771131941458569885", "semantic_fingerprint": "sha256:1aa992e43217a4dc8a59202b1580977899e16074d98dfe4697b2c2f4965d40b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002096", "prompt": "Find x: 5(x - 3) + 140 = 10(x + 7)", "solution_steps": ["Expand: 5x - 15 + 140 = 10(x + 7)", "Expand: 5x - 15 + 140 = 10x + 70", "Combine constants: 5x + 125 = 10x + 70", "Subtract 10x from both sides: -5x + 125 = 70", "Subtract 125 from both sides: -5x = -55", "Divide both sides by -5: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) + 140 = 10(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 10, \"d\": 7, \"f\": 140, \"x\": 11}", "seed": "12599750119140790186", "semantic_fingerprint": "sha256:a52d97f7a5a90ab47f046bf96bb032133fa42d88197d312cbd093810e782735e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002097", "prompt": "Find x: 8(x + 63) = -6(x - 11) + 2", "solution_steps": ["Expand: 8x + 504 = -6(x - 11) + 2", "Expand: 8x + 504 = -6x + 66 + 2", "Combine constants: 8x + 504 = -6x + 68", "Add 6x to both sides: 14x + 504 = 68", "Subtract 504 from both sides: 14x = -436", "Divide both sides by 14: x = -218/7"], "final_answer": "-218/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 63) = -6(x - 11) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 63, \"c\": -6, \"d\": 11, \"e\": 2}", "seed": "10764009457831435975", "semantic_fingerprint": "sha256:61c194de19072cc809f03e82b509d3e52acbdf73f5adae437983afa0a9388e04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002098", "prompt": "Compute: -25 - (965 / 2 - (-96)) - (-9)", "solution_steps": ["Divide: 965 / 2 = 965/2", "Subtract: 965/2 - (-96) = 1157/2", "Subtract: -25 - 1157/2 = -1207/2", "Subtract: -1207/2 - (-9) = -1189/2"], "final_answer": "-1189/2", "answer_type": "rational", "kind": "expression", "math_text": "-25 - (965 / 2 - (-96)) - (-9)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 965, \"c\": 2, \"d\": -96, \"e\": -9}", "seed": "3673236651216840322", "semantic_fingerprint": "sha256:4073e24b4576b056589402491a042d39ac69d56b86ad2793755875c7d444e9e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002099", "prompt": "Evaluate: 42 / (147 + 9) / (0 - 74)", "solution_steps": ["Add: 147 + 9 = 156", "Divide: 42 / 156 = 7/26", "Subtract: 0 - 74 = -74", "Divide: (7/26) / (-74) = -7/1924"], "final_answer": "-7/1924", "answer_type": "rational", "kind": "expression", "math_text": "42 / (147 + 9) / (0 - 74)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 147, \"c\": 9, \"d\": 0, \"e\": 74}", "seed": "3392016574195615569", "semantic_fingerprint": "sha256:512fb144b388d66d7423285d9e5966b3d33e8abb5708f7c4d6a4b969c86cd266", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002100", "prompt": "Compute: 56 * (-47 - (3 - (7 * (-8) + 6)))", "solution_steps": ["Multiply: 7 * (-8) = -56", "Add: -56 + 6 = -50", "Subtract: 3 - (-50) = 53", "Subtract: -47 - 53 = -100", "Multiply: 56 * (-100) = -5600"], "final_answer": "-5600", "answer_type": "integer", "kind": "expression", "math_text": "56 * (-47 - (3 - (7 * (-8) + 6)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (- n (+ (* n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -47, \"c\": 3, \"d\": 7, \"e\": -8, \"f\": 6}", "seed": "7100854254154295882", "semantic_fingerprint": "sha256:28eeaba24ee7c67e89dec3148aaa50d1affc7b28a7e95a9995055c3333ba6e18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002101", "prompt": "Compute: (-2 - (-9) - (-7)) * (-12)", "solution_steps": ["Subtract: -2 - (-9) = 7", "Subtract: 7 - (-7) = 14", "Multiply: 14 * (-12) = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-9) - (-7)) * (-12)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -9, \"c\": -7, \"d\": -12}", "seed": "8415817479399539564", "semantic_fingerprint": "sha256:6df6c0887cd07d181ef85587414d9d59c40a2747d1bf6261f2fe932f04ce32b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002102", "prompt": "Find x: 4x - 528 = 8(x - 66)", "solution_steps": ["Expand: 4x - 528 = 8x - 528", "Subtract 8x from both sides: -4x - 528 = -528", "Add 528 to both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 528 = 8(x - 66)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 66, \"e\": -528, \"x\": 0}", "seed": "7167281557653501925", "semantic_fingerprint": "sha256:6752bb99e5842106c918dc875aca86c895cbc636cf7b5060fb7f1d8eb4475d39", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002103", "prompt": "Compute: 2 * (-51 + (-7 + 172)) - (152 - (-646))", "solution_steps": ["Add: -7 + 172 = 165", "Add: -51 + 165 = 114", "Multiply: 2 * 114 = 228", "Subtract: 152 - (-646) = 798", "Subtract: 228 - 798 = -570"], "final_answer": "-570", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-51 + (-7 + 172)) - (152 - (-646))", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n (+ n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -51, \"c\": -7, \"d\": 172, \"e\": 152, \"f\": -646}", "seed": "9079017463063559640", "semantic_fingerprint": "sha256:0260915adfcd23cdb612ba1dc0f89f4d59f280a720b1726829724324eb11a363", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002104", "prompt": "Calculate: -3 * 63 + (-85 - (-415) * (-944))", "solution_steps": ["Multiply: -3 * 63 = -189", "Multiply: -415 * (-944) = 391760", "Subtract: -85 - 391760 = -391845", "Add: -189 + (-391845) = -392034"], "final_answer": "-392034", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 63 + (-85 - (-415) * (-944))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 63, \"c\": -85, \"d\": -415, \"e\": -944}", "seed": "16616453568350628734", "semantic_fingerprint": "sha256:f305cac29060e362dec24af04d12330884760a66c2f0d9004d721d82226a17de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002105", "prompt": "Evaluate: (5 + 251) / (297 + (-778))", "solution_steps": ["Add: 5 + 251 = 256", "Add: 297 + (-778) = -481", "Divide: 256 / (-481) = -256/481"], "final_answer": "-256/481", "answer_type": "rational", "kind": "expression", "math_text": "(5 + 251) / (297 + (-778))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 251, \"c\": 297, \"d\": -778}", "seed": "9059050663743922207", "semantic_fingerprint": "sha256:fa0b32274ff4e17a895265ba99ce01c51a10f156478be476af6c8f15e15f13b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002106", "prompt": "Calculate: 854 / (-9 * (-94 + 9))", "solution_steps": ["Add: -94 + 9 = -85", "Multiply: -9 * (-85) = 765", "Divide: 854 / 765 = 854/765"], "final_answer": "854/765", "answer_type": "rational", "kind": "expression", "math_text": "854 / (-9 * (-94 + 9))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 854, \"b\": -9, \"c\": -94, \"d\": 9}", "seed": "10861977726863786892", "semantic_fingerprint": "sha256:86915ebc30a17c655a6cf88160ca880a0946b9f31dbff2f8e4940caa3a742359", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002107", "prompt": "What value of x satisfies 7x - 95 = 12x - 60?", "solution_steps": ["Subtract 12x from both sides: -5x - 95 = -60", "Add 95 to both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 95 = 12x - 60", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 95, \"c\": 12, \"e\": -60, \"x\": -7}", "seed": "4109584778041433011", "semantic_fingerprint": "sha256:6b3970de964552086feb13d29cf90c9c61ddac32929300011d5436ead0c91051", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002108", "prompt": "Compute: -3 / (-68 - 360 - (-30) + 873)", "solution_steps": ["Subtract: -68 - 360 = -428", "Subtract: -428 - (-30) = -398", "Add: -398 + 873 = 475", "Divide: -3 / 475 = -3/475"], "final_answer": "-3/475", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-68 - 360 - (-30) + 873)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -68, \"c\": 360, \"d\": -30, \"e\": 873}", "seed": "621847503894130918", "semantic_fingerprint": "sha256:fe8f54e07173196eeffcbb99ef6cb65fab44ce72e3ac21de875a5428fa3e137f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002109", "prompt": "What is 2 - 3 - (800 / (-6) - 498)?", "solution_steps": ["Subtract: 2 - 3 = -1", "Divide: 800 / (-6) = -400/3", "Subtract: -400/3 - 498 = -1894/3", "Subtract: -1 - (-1894/3) = 1891/3"], "final_answer": "1891/3", "answer_type": "rational", "kind": "expression", "math_text": "2 - 3 - (800 / (-6) - 498)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 800, \"d\": -6, \"e\": 498}", "seed": "11149108543458881041", "semantic_fingerprint": "sha256:880b16bcd5756b27cbe8cf9462bedcf68fcb6db353e6510a25c7ab8a4aa0c716", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002110", "prompt": "Compute: (3 * 46 - 72) * (12 * (-852))", "solution_steps": ["Multiply: 3 * 46 = 138", "Subtract: 138 - 72 = 66", "Multiply: 12 * (-852) = -10224", "Multiply: 66 * (-10224) = -674784"], "final_answer": "-674784", "answer_type": "integer", "kind": "expression", "math_text": "(3 * 46 - 72) * (12 * (-852))", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 46, \"c\": 72, \"d\": 12, \"e\": -852}", "seed": "816922650277100450", "semantic_fingerprint": "sha256:064af175cafdcb916ffb30da110a58b3e1a3c24e35ad29ec516a1d0ca813ac44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002111", "prompt": "What value of x satisfies -5x = 11(x + 4) - 423?", "solution_steps": ["Expand: -5x = 11x + 44 - 423", "Combine constants: -5x = 11x - 379", "Subtract 11x from both sides: -16x = -379", "Divide both sides by -16: x = 379/16"], "final_answer": "379/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 11(x + 4) - 423", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 11, \"c\": 4, \"d\": 423}", "seed": "7858336145469002926", "semantic_fingerprint": "sha256:a998e6aafce13005fd0471c962613436a7c3d62f5b4d117b524cd01f7dc1fa35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002112", "prompt": "Solve the equation 9(x - 92) + 861 = 6(x + 6) for x.", "solution_steps": ["Expand: 9x - 828 + 861 = 6(x + 6)", "Expand: 9x - 828 + 861 = 6x + 36", "Combine constants: 9x + 33 = 6x + 36", "Subtract 6x from both sides: 3x + 33 = 36", "Subtract 33 from both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 92) + 861 = 6(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 92, \"c\": 6, \"d\": 6, \"f\": 861, \"x\": 1}", "seed": "18145584037020131928", "semantic_fingerprint": "sha256:0ca32ebac6d2eab55325f3dc58ecffdcd736f38240cb5d1e3a12505ae27dd0f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002113", "prompt": "What value of x satisfies 8x = 5(x + 33) - 97?", "solution_steps": ["Expand: 8x = 5x + 165 - 97", "Combine constants: 8x = 5x + 68", "Subtract 5x from both sides: 3x = 68", "Divide both sides by 3: x = 68/3"], "final_answer": "68/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 5(x + 33) - 97", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 33, \"d\": 97}", "seed": "4870409295876429414", "semantic_fingerprint": "sha256:12fdd6ad191c8661ed00f434192d1d5d06b5afe12177936aa16c1c23d0d96428", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002114", "prompt": "What is 0 / 1 / 187 - 12?", "solution_steps": ["Divide: 0 / 1 = 0", "Divide: 0 / 187 = 0", "Subtract: 0 - 12 = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "0 / 1 / 187 - 12", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 187, \"d\": 12}", "seed": "7439247427992074081", "semantic_fingerprint": "sha256:c6f953d78844f8151839cecba9a491878c36d6d550a7b0c1f3dcf0226f3fce82", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002115", "prompt": "Solve the equation -6(x + 1) + 69 = x + 126 for x.", "solution_steps": ["Expand: -6x - 6 + 69 = x + 126", "Combine constants: -6x + 63 = x + 126", "Subtract x from both sides: -7x + 63 = 126", "Subtract 63 from both sides: -7x = 63", "Divide both sides by -7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 1) + 69 = x + 126", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"c\": 69, \"e\": 126, \"x\": -9}", "seed": "7790479472056006091", "semantic_fingerprint": "sha256:5f63f6c73582fb89805d20b036f93d32ce2e0778c177f059ca54ad416c5da1f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002116", "prompt": "Solve the equation 4(x + 447) = -11(x - 95) + 908 for x.", "solution_steps": ["Expand: 4x + 1788 = -11(x - 95) + 908", "Expand: 4x + 1788 = -11x + 1045 + 908", "Combine constants: 4x + 1788 = -11x + 1953", "Add 11x to both sides: 15x + 1788 = 1953", "Subtract 1788 from both sides: 15x = 165", "Divide both sides by 15: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 447) = -11(x - 95) + 908", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 447, \"c\": -11, \"d\": 95, \"f\": 908, \"x\": 11}", "seed": "2313203390006001548", "semantic_fingerprint": "sha256:763500e55d2833f71f5b5651caff00e1a137f80efc6eb05c894e30756f2a8fa7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002117", "prompt": "Solve for x: 5(x + 31) - 166 = x + 61", "solution_steps": ["Expand: 5x + 155 - 166 = x + 61", "Combine constants: 5x - 11 = x + 61", "Subtract x from both sides: 4x - 11 = 61", "Add 11 to both sides: 4x = 72", "Divide both sides by 4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 31) - 166 = x + 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 31, \"c\": 166, \"e\": 61, \"x\": 18}", "seed": "17926028145250322356", "semantic_fingerprint": "sha256:ba1ca626f847bc6651df4a0e1fc7ad9ad5ee506ca0c48115d74ff98d46f8672e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002118", "prompt": "Find x: 6x - 246 = 10(x - 17)", "solution_steps": ["Expand: 6x - 246 = 10x - 170", "Subtract 10x from both sides: -4x - 246 = -170", "Add 246 to both sides: -4x = 76", "Divide both sides by -4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 246 = 10(x - 17)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 10, \"c\": 17, \"e\": -246, \"x\": -19}", "seed": "3176948326701717952", "semantic_fingerprint": "sha256:17d3b8a0fcbb7b799732bf06bf385ea1b26bb02f80190b3a7322754a9df71055", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002119", "prompt": "What is 5 + (46 * (25 + (-4)) + (36 - (-4)))?", "solution_steps": ["Add: 25 + (-4) = 21", "Multiply: 46 * 21 = 966", "Subtract: 36 - (-4) = 40", "Add: 966 + 40 = 1006", "Add: 5 + 1006 = 1011"], "final_answer": "1011", "answer_type": "integer", "kind": "expression", "math_text": "5 + (46 * (25 + (-4)) + (36 - (-4)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 46, \"c\": 25, \"d\": -4, \"e\": 36, \"f\": -4}", "seed": "11613372743164332924", "semantic_fingerprint": "sha256:8ef096d2c0d8ff556ad3e887a406b13e7a1bda448a08df70e9454e96bb03b246", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002120", "prompt": "What is (42 + (-42 - 86)) * (-73 - 2)?", "solution_steps": ["Subtract: -42 - 86 = -128", "Add: 42 + (-128) = -86", "Subtract: -73 - 2 = -75", "Multiply: -86 * (-75) = 6450"], "final_answer": "6450", "answer_type": "integer", "kind": "expression", "math_text": "(42 + (-42 - 86)) * (-73 - 2)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -42, \"c\": 86, \"d\": -73, \"e\": 2}", "seed": "10323464424245619087", "semantic_fingerprint": "sha256:e49564f103690df9ce737ff9034d50deabece9e419c325f9086bf9fe880f2168", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002121", "prompt": "Calculate: 88 + (-98 + (-1)) - (-93 * 9 + 1)", "solution_steps": ["Add: -98 + (-1) = -99", "Add: 88 + (-99) = -11", "Multiply: -93 * 9 = -837", "Add: -837 + 1 = -836", "Subtract: -11 - (-836) = 825"], "final_answer": "825", "answer_type": "integer", "kind": "expression", "math_text": "88 + (-98 + (-1)) - (-93 * 9 + 1)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -98, \"c\": -1, \"d\": -93, \"e\": 9, \"f\": 1}", "seed": "7595632479822190425", "semantic_fingerprint": "sha256:cd1361c86a65fea7da9864d8cd08f30bc5fd599ef0aeddc16eb307aa20eb4093", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002122", "prompt": "Calculate: 306 * 662 - (546 + 40) - 89", "solution_steps": ["Multiply: 306 * 662 = 202572", "Add: 546 + 40 = 586", "Subtract: 202572 - 586 = 201986", "Subtract: 201986 - 89 = 201897"], "final_answer": "201897", "answer_type": "integer", "kind": "expression", "math_text": "306 * 662 - (546 + 40) - 89", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 306, \"b\": 662, \"c\": 546, \"d\": 40, \"e\": 89}", "seed": "4506766723068249191", "semantic_fingerprint": "sha256:e2306a3b7a36385832a32ad3a06a79fe52c019f356fdc78e450cae45eb529e42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002123", "prompt": "What is 441 * (8 - 14 - (5 + (-492) - (-9)))?", "solution_steps": ["Subtract: 8 - 14 = -6", "Add: 5 + (-492) = -487", "Subtract: -487 - (-9) = -478", "Subtract: -6 - (-478) = 472", "Multiply: 441 * 472 = 208152"], "final_answer": "208152", "answer_type": "integer", "kind": "expression", "math_text": "441 * (8 - 14 - (5 + (-492) - (-9)))", "variable": null, "family": "expression_5op", "shape": "(* n (- (- n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": 8, \"c\": 14, \"d\": 5, \"e\": -492, \"f\": -9}", "seed": "16603998738859951455", "semantic_fingerprint": "sha256:416255fe39351733d37e16e948dae742f787ab2244cc5d4cda1e46ffb4f3359b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002124", "prompt": "What is (-3 + (-3)) / (-489 + 14)?", "solution_steps": ["Add: -3 + (-3) = -6", "Add: -489 + 14 = -475", "Divide: -6 / (-475) = 6/475"], "final_answer": "6/475", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + (-3)) / (-489 + 14)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -3, \"c\": -489, \"d\": 14}", "seed": "10320828719775995239", "semantic_fingerprint": "sha256:0bd34584516f43f7f88a0f7a9466f6140f97179ebd396a388c224d4b89a712a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002125", "prompt": "Solve the equation -4(x + 9) + 8 = x + 12 for x.", "solution_steps": ["Expand: -4x - 36 + 8 = x + 12", "Combine constants: -4x - 28 = x + 12", "Subtract x from both sides: -5x - 28 = 12", "Add 28 to both sides: -5x = 40", "Divide both sides by -5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 9) + 8 = x + 12", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 8, \"e\": 12, \"x\": -8}", "seed": "6566552227648404339", "semantic_fingerprint": "sha256:3d58355013e2927fbac3e7f225f5a1d5b625275e7905fe07361fa3d0627fbff3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002126", "prompt": "What is 50 + (-16 - (-1 / (-1) - 0)) / 3?", "solution_steps": ["Divide: -1 / (-1) = 1", "Subtract: 1 - 0 = 1", "Subtract: -16 - 1 = -17", "Divide: -17 / 3 = -17/3", "Add: 50 + (-17/3) = 133/3"], "final_answer": "133/3", "answer_type": "rational", "kind": "expression", "math_text": "50 + (-16 - (-1 / (-1) - 0)) / 3", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n (- (/ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -16, \"c\": -1, \"d\": -1, \"e\": 0, \"f\": 3}", "seed": "8894590429250406828", "semantic_fingerprint": "sha256:19e0cc843d0e3b6a7c0c7472cbcbbdefc95eff36a9a795468a4cad5706d9f839", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002127", "prompt": "Solve for x: 3(x + 99) + 3 = x + 276", "solution_steps": ["Expand: 3x + 297 + 3 = x + 276", "Combine constants: 3x + 300 = x + 276", "Subtract x from both sides: 2x + 300 = 276", "Subtract 300 from both sides: 2x = -24", "Divide both sides by 2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 99) + 3 = x + 276", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 99, \"c\": 3, \"e\": 276, \"x\": -12}", "seed": "14364941403368700250", "semantic_fingerprint": "sha256:8f1df198e43951b156f58e40627ff645331e4cdf45b017cedf7f72b03591a2d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002128", "prompt": "Calculate: 10 + (-9) * 64 - (995 + 0)", "solution_steps": ["Multiply: -9 * 64 = -576", "Add: 10 + (-576) = -566", "Add: 995 + 0 = 995", "Subtract: -566 - 995 = -1561"], "final_answer": "-1561", "answer_type": "integer", "kind": "expression", "math_text": "10 + (-9) * 64 - (995 + 0)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -9, \"c\": 64, \"d\": 995, \"e\": 0}", "seed": "10526950756111527411", "semantic_fingerprint": "sha256:2aa502ced33eb3b617ce5a376f6531b6ab754500f6292cd2eb809aadcba72e04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002129", "prompt": "Solve for x: 6(x + 41) + 24 = x + 205", "solution_steps": ["Expand: 6x + 246 + 24 = x + 205", "Combine constants: 6x + 270 = x + 205", "Subtract x from both sides: 5x + 270 = 205", "Subtract 270 from both sides: 5x = -65", "Divide both sides by 5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 41) + 24 = x + 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 41, \"c\": 24, \"e\": 205, \"x\": -13}", "seed": "8315503601299484151", "semantic_fingerprint": "sha256:5066197842f6592d49052c5d087de3986a3d1a43347c4e7381f6f1035ea56869", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002130", "prompt": "Evaluate: -7 + 0 + (6 * (-682 + (-65)) - 38)", "solution_steps": ["Add: -7 + 0 = -7", "Add: -682 + (-65) = -747", "Multiply: 6 * (-747) = -4482", "Subtract: -4482 - 38 = -4520", "Add: -7 + (-4520) = -4527"], "final_answer": "-4527", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 0 + (6 * (-682 + (-65)) - 38)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (* n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": 6, \"d\": -682, \"e\": -65, \"f\": 38}", "seed": "1165452036601037984", "semantic_fingerprint": "sha256:b4b34ecf3510ede96229122f13a20302338382a07d6dce10366e1967e9180e74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002131", "prompt": "Find x: 8(x + 76) = 2(x - 539) + 74", "solution_steps": ["Expand: 8x + 608 = 2(x - 539) + 74", "Expand: 8x + 608 = 2x - 1078 + 74", "Combine constants: 8x + 608 = 2x - 1004", "Subtract 2x from both sides: 6x + 608 = -1004", "Subtract 608 from both sides: 6x = -1612", "Divide both sides by 6: x = -806/3"], "final_answer": "-806/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 76) = 2(x - 539) + 74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 76, \"c\": 2, \"d\": 539, \"e\": 74}", "seed": "5793282967245058022", "semantic_fingerprint": "sha256:911d4e822e962fff2a36a9f704001965e4989d7a486f58584d6a95eee433ade4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002132", "prompt": "What value of x satisfies 4(x + 9) - 94 = x + 8?", "solution_steps": ["Expand: 4x + 36 - 94 = x + 8", "Combine constants: 4x - 58 = x + 8", "Subtract x from both sides: 3x - 58 = 8", "Add 58 to both sides: 3x = 66", "Divide both sides by 3: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) - 94 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 94, \"d\": 8}", "seed": "8598951548091563351", "semantic_fingerprint": "sha256:3a2c5896381ce686edc276a7d9eaf5062a19752ea944a1b0bc627354cbcbc91f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002133", "prompt": "Evaluate: 9 * 0 - 9 - (3 - 339 / (-9))", "solution_steps": ["Multiply: 9 * 0 = 0", "Subtract: 0 - 9 = -9", "Divide: 339 / (-9) = -113/3", "Subtract: 3 - (-113/3) = 122/3", "Subtract: -9 - 122/3 = -149/3"], "final_answer": "-149/3", "answer_type": "rational", "kind": "expression", "math_text": "9 * 0 - 9 - (3 - 339 / (-9))", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": 9, \"d\": 3, \"e\": 339, \"f\": -9}", "seed": "6760691361805947778", "semantic_fingerprint": "sha256:759f61cee55d283a423b2c4235d17503c7dd255c76889a39d365fe216a239e5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002134", "prompt": "Evaluate: 35 * (326 + (0 + 68 * 48) - (-26))", "solution_steps": ["Multiply: 68 * 48 = 3264", "Add: 0 + 3264 = 3264", "Add: 326 + 3264 = 3590", "Subtract: 3590 - (-26) = 3616", "Multiply: 35 * 3616 = 126560"], "final_answer": "126560", "answer_type": "integer", "kind": "expression", "math_text": "35 * (326 + (0 + 68 * 48) - (-26))", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n (+ n (* n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 326, \"c\": 0, \"d\": 68, \"e\": 48, \"f\": -26}", "seed": "13887838518841022282", "semantic_fingerprint": "sha256:3b58db3b5b8a1d81689dcee3051d9ca7f30d87ea763cd9e4960ee89afc761c6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002135", "prompt": "Solve the equation 6(x + 5) + 249 = x + 189 for x.", "solution_steps": ["Expand: 6x + 30 + 249 = x + 189", "Combine constants: 6x + 279 = x + 189", "Subtract x from both sides: 5x + 279 = 189", "Subtract 279 from both sides: 5x = -90", "Divide both sides by 5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) + 249 = x + 189", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 249, \"e\": 189, \"x\": -18}", "seed": "15328135910745905019", "semantic_fingerprint": "sha256:21740de042a6e134b73e6fa617018620062eecf770699c573bb9abdb5cf51a8a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002136", "prompt": "Solve for x: 5(x + 5) + 825 = x + 782", "solution_steps": ["Expand: 5x + 25 + 825 = x + 782", "Combine constants: 5x + 850 = x + 782", "Subtract x from both sides: 4x + 850 = 782", "Subtract 850 from both sides: 4x = -68", "Divide both sides by 4: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 5) + 825 = x + 782", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 825, \"e\": 782, \"x\": -17}", "seed": "12260398491342975120", "semantic_fingerprint": "sha256:12a3cfd62da56780963b01464004da8e50791b65cadbc7f11acfafc2e1952649", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002137", "prompt": "What is -75 * (-61 + (-90)) / (-75 - 68)?", "solution_steps": ["Add: -61 + (-90) = -151", "Multiply: -75 * (-151) = 11325", "Subtract: -75 - 68 = -143", "Divide: 11325 / (-143) = -11325/143"], "final_answer": "-11325/143", "answer_type": "rational", "kind": "expression", "math_text": "-75 * (-61 + (-90)) / (-75 - 68)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -61, \"c\": -90, \"d\": -75, \"e\": 68}", "seed": "14107743729526497762", "semantic_fingerprint": "sha256:ddafab31db01b6921ef5a6b213e7ad800bc4009d6d0b2ef26a81077d33a5468a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002138", "prompt": "What is 3 * (97 / 2 + (826 + 781))?", "solution_steps": ["Divide: 97 / 2 = 97/2", "Add: 826 + 781 = 1607", "Add: 97/2 + 1607 = 3311/2", "Multiply: 3 * (3311/2) = 9933/2"], "final_answer": "9933/2", "answer_type": "rational", "kind": "expression", "math_text": "3 * (97 / 2 + (826 + 781))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 97, \"c\": 2, \"d\": 826, \"e\": 781}", "seed": "5080550408367439388", "semantic_fingerprint": "sha256:07d45533cf9dcd75011cbbceb924f86f4c431ba3836317e5c43db4f9899d7222", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002139", "prompt": "Evaluate: 6 / (-5) / (71 / (-22)) * 447", "solution_steps": ["Divide: 6 / (-5) = -6/5", "Divide: 71 / (-22) = -71/22", "Divide: (-6/5) / (-71/22) = 132/355", "Multiply: (132/355) * 447 = 59004/355"], "final_answer": "59004/355", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-5) / (71 / (-22)) * 447", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": 71, \"d\": -22, \"e\": 447}", "seed": "13938666044977721438", "semantic_fingerprint": "sha256:e430988e72426cf3ec17210864511dc38fb83eee39230b99f42dcae5a8ec8452", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002140", "prompt": "Evaluate: 79 / (-162 * ((75 + (-87 - (-30))) / (-8)))", "solution_steps": ["Subtract: -87 - (-30) = -57", "Add: 75 + (-57) = 18", "Divide: 18 / (-8) = -9/4", "Multiply: -162 * (-9/4) = 729/2", "Divide: 79 / (729/2) = 158/729"], "final_answer": "158/729", "answer_type": "rational", "kind": "expression", "math_text": "79 / (-162 * ((75 + (-87 - (-30))) / (-8)))", "variable": null, "family": "expression_5op", "shape": "(/ n (* n (/ (+ n (- n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -162, \"c\": 75, \"d\": -87, \"e\": -30, \"f\": -8}", "seed": "10296769716871436409", "semantic_fingerprint": "sha256:e302cdc76962f0fe15ebdfb0462ec47769290c3edffe3114b0af90145da88a62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002141", "prompt": "Solve the equation 9(x + 52) - 6 = x + 23 for x.", "solution_steps": ["Expand: 9x + 468 - 6 = x + 23", "Combine constants: 9x + 462 = x + 23", "Subtract x from both sides: 8x + 462 = 23", "Subtract 462 from both sides: 8x = -439", "Divide both sides by 8: x = -439/8"], "final_answer": "-439/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 52) - 6 = x + 23", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 52, \"c\": 6, \"d\": 23}", "seed": "15572591907671963672", "semantic_fingerprint": "sha256:e0ad90d09f05486c4406c667e82ee0b5d60cf25cb564bd1b0b90f4868d89fae9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002142", "prompt": "Calculate: 4 / (27 / (-72)) + 82", "solution_steps": ["Divide: 27 / (-72) = -3/8", "Divide: 4 / (-3/8) = -32/3", "Add: -32/3 + 82 = 214/3"], "final_answer": "214/3", "answer_type": "rational", "kind": "expression", "math_text": "4 / (27 / (-72)) + 82", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 27, \"c\": -72, \"d\": 82}", "seed": "399192245657996280", "semantic_fingerprint": "sha256:074f45d1fcc7eaf65e44df6580b69a557bd78172be6a2ca7699e8992f00c4f2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002143", "prompt": "What is -693 + (-9) + (1 + 7) + (-55) * (-6)?", "solution_steps": ["Add: -693 + (-9) = -702", "Add: 1 + 7 = 8", "Add: -702 + 8 = -694", "Multiply: -55 * (-6) = 330", "Add: -694 + 330 = -364"], "final_answer": "-364", "answer_type": "integer", "kind": "expression", "math_text": "-693 + (-9) + (1 + 7) + (-55) * (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -693, \"b\": -9, \"c\": 1, \"d\": 7, \"e\": -55, \"f\": -6}", "seed": "13940145166930047368", "semantic_fingerprint": "sha256:41b0a5992b1588c2bc793e97441f5415d42a86d796c1d3249db94c51e63b12ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002144", "prompt": "Calculate: 72 - (-793 - (68 * (-7) - 586))", "solution_steps": ["Multiply: 68 * (-7) = -476", "Subtract: -476 - 586 = -1062", "Subtract: -793 - (-1062) = 269", "Subtract: 72 - 269 = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "expression", "math_text": "72 - (-793 - (68 * (-7) - 586))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (- (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -793, \"c\": 68, \"d\": -7, \"e\": 586}", "seed": "9172206530659862137", "semantic_fingerprint": "sha256:e48c2b19bdaf24add183d55b9f267ce83b2163814cf6ce4dbee154d57ff551f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002145", "prompt": "Solve for x: 5(x - 143) + 736 = 6(x + 6)", "solution_steps": ["Expand: 5x - 715 + 736 = 6(x + 6)", "Expand: 5x - 715 + 736 = 6x + 36", "Combine constants: 5x + 21 = 6x + 36", "Subtract 6x from both sides: -x + 21 = 36", "Subtract 21 from both sides: -x = 15", "Divide both sides by -1: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 143) + 736 = 6(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 143, \"c\": 6, \"d\": 6, \"f\": 736, \"x\": -15}", "seed": "4857944072539495565", "semantic_fingerprint": "sha256:5088f28b1f9c9dd5467d54b3bfe7120cf71638233799bc11c61b04ced16bcdf3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002146", "prompt": "Evaluate: (-6 - (9 - (-69))) / (-90 - (-92) - (-4))", "solution_steps": ["Subtract: 9 - (-69) = 78", "Subtract: -6 - 78 = -84", "Subtract: -90 - (-92) = 2", "Subtract: 2 - (-4) = 6", "Divide: -84 / 6 = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (9 - (-69))) / (-90 - (-92) - (-4))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": -69, \"d\": -90, \"e\": -92, \"f\": -4}", "seed": "10476736142353714655", "semantic_fingerprint": "sha256:8a452c477218a1ceee76787cfb3f05a5119ed9dc708e903e2ee29db3e94717a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002147", "prompt": "Evaluate: 76 / (-201 + (-21)) - 27 / 4", "solution_steps": ["Add: -201 + (-21) = -222", "Divide: 76 / (-222) = -38/111", "Divide: 27 / 4 = 27/4", "Subtract: -38/111 - 27/4 = -3149/444"], "final_answer": "-3149/444", "answer_type": "rational", "kind": "expression", "math_text": "76 / (-201 + (-21)) - 27 / 4", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -201, \"c\": -21, \"d\": 27, \"e\": 4}", "seed": "6533036012448074211", "semantic_fingerprint": "sha256:ab048e86f879ed043993fd3c2f30f0b042e9c6bda15e510bb15881c8c7d29087", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002148", "prompt": "Solve the equation -4x = 3(x + 1) - 93 for x.", "solution_steps": ["Expand: -4x = 3x + 3 - 93", "Combine constants: -4x = 3x - 90", "Subtract 3x from both sides: -7x = -90", "Divide both sides by -7: x = 90/7"], "final_answer": "90/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 3(x + 1) - 93", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 1, \"d\": 93}", "seed": "2084498363379137325", "semantic_fingerprint": "sha256:0bae8637443c7318ab73ed8981e2f8f6e24c5fa2def99a3927fc2a2ea1b35382", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002149", "prompt": "What value of x satisfies -9x = 6(x + 73) - 723?", "solution_steps": ["Expand: -9x = 6x + 438 - 723", "Combine constants: -9x = 6x - 285", "Subtract 6x from both sides: -15x = -285", "Divide both sides by -15: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 6(x + 73) - 723", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 73, \"e\": -723, \"x\": 19}", "seed": "6442101270415677985", "semantic_fingerprint": "sha256:35e86cd36ce2c41f4f86ed38f86400558f92bfff9196c0d19fa5056bfed112fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002150", "prompt": "Evaluate: (-965 - (81 + (-1))) * (8 + 154)", "solution_steps": ["Add: 81 + (-1) = 80", "Subtract: -965 - 80 = -1045", "Add: 8 + 154 = 162", "Multiply: -1045 * 162 = -169290"], "final_answer": "-169290", "answer_type": "integer", "kind": "expression", "math_text": "(-965 - (81 + (-1))) * (8 + 154)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -965, \"b\": 81, \"c\": -1, \"d\": 8, \"e\": 154}", "seed": "10573832280837189970", "semantic_fingerprint": "sha256:1bf0f25ba585e2d1c7282606d67ae7959b9c85f794e5e3995cae1d84650d6278", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002151", "prompt": "What value of x satisfies -2(x - 70) - 9 = x + 92?", "solution_steps": ["Expand: -2x + 140 - 9 = x + 92", "Combine constants: -2x + 131 = x + 92", "Subtract x from both sides: -3x + 131 = 92", "Subtract 131 from both sides: -3x = -39", "Divide both sides by -3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 70) - 9 = x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 70, \"c\": 9, \"e\": 92, \"x\": 13}", "seed": "5446386993979320985", "semantic_fingerprint": "sha256:59e1b9f9b84d1741f45a2ad3b48451afa1c622aff6af9ec3d6f8efc909e65d5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002152", "prompt": "Solve the equation 12(x + 28) + 94 = x + 4 for x.", "solution_steps": ["Expand: 12x + 336 + 94 = x + 4", "Combine constants: 12x + 430 = x + 4", "Subtract x from both sides: 11x + 430 = 4", "Subtract 430 from both sides: 11x = -426", "Divide both sides by 11: x = -426/11"], "final_answer": "-426/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 28) + 94 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 28, \"c\": 94, \"d\": 4}", "seed": "17203454840521891223", "semantic_fingerprint": "sha256:a2f67ca7f88140c0accc97023a4dafed1c86d50ac74784fa3ef9ef02d9a7a6f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002153", "prompt": "Evaluate: 34 - ((67 + 252) / (-12) - (-46) * (-5))", "solution_steps": ["Add: 67 + 252 = 319", "Divide: 319 / (-12) = -319/12", "Multiply: -46 * (-5) = 230", "Subtract: -319/12 - 230 = -3079/12", "Subtract: 34 - (-3079/12) = 3487/12"], "final_answer": "3487/12", "answer_type": "rational", "kind": "expression", "math_text": "34 - ((67 + 252) / (-12) - (-46) * (-5))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ (+ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 67, \"c\": 252, \"d\": -12, \"e\": -46, \"f\": -5}", "seed": "14795187189735215674", "semantic_fingerprint": "sha256:fafb6cc3711b8d4ef94296dcaba46a86d4d809245f20f11213fba7b770ef52e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002154", "prompt": "Calculate: 66 * (-2 + 3 + (-58)) - 97", "solution_steps": ["Add: -2 + 3 = 1", "Add: 1 + (-58) = -57", "Multiply: 66 * (-57) = -3762", "Subtract: -3762 - 97 = -3859"], "final_answer": "-3859", "answer_type": "integer", "kind": "expression", "math_text": "66 * (-2 + 3 + (-58)) - 97", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -2, \"c\": 3, \"d\": -58, \"e\": 97}", "seed": "12753859426729687109", "semantic_fingerprint": "sha256:1981b895b8dd237be5582469a9153ffbef3f47c0ff2429ddae16f18defb7a814", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002155", "prompt": "Compute: 67 / 30 - (62 + (-77) / (-25))", "solution_steps": ["Divide: 67 / 30 = 67/30", "Divide: -77 / (-25) = 77/25", "Add: 62 + 77/25 = 1627/25", "Subtract: 67/30 - 1627/25 = -9427/150"], "final_answer": "-9427/150", "answer_type": "rational", "kind": "expression", "math_text": "67 / 30 - (62 + (-77) / (-25))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 30, \"c\": 62, \"d\": -77, \"e\": -25}", "seed": "3219782637847011650", "semantic_fingerprint": "sha256:162007824d7c7ab6a3c901961f03cbd4f2296f96eb9c8d364c5c35b29af52925", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002156", "prompt": "Evaluate: 858 - (-66 + 3 - (-56) + (-9))", "solution_steps": ["Add: -66 + 3 = -63", "Subtract: -63 - (-56) = -7", "Add: -7 + (-9) = -16", "Subtract: 858 - (-16) = 874"], "final_answer": "874", "answer_type": "integer", "kind": "expression", "math_text": "858 - (-66 + 3 - (-56) + (-9))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 858, \"b\": -66, \"c\": 3, \"d\": -56, \"e\": -9}", "seed": "9641732107268377802", "semantic_fingerprint": "sha256:d8f04d994690394bfc153386365face366fb443a58febc1efb1ba191babc1e7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002157", "prompt": "Solve for x: 10(x + 89) + 4 = x + 966", "solution_steps": ["Expand: 10x + 890 + 4 = x + 966", "Combine constants: 10x + 894 = x + 966", "Subtract x from both sides: 9x + 894 = 966", "Subtract 894 from both sides: 9x = 72", "Divide both sides by 9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 89) + 4 = x + 966", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 89, \"c\": 4, \"e\": 966, \"x\": 8}", "seed": "5513688453323788742", "semantic_fingerprint": "sha256:c79591506d7465f5003ef9f735d341ed4d77d04945a7dbea3f7a0e1b359db90b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002158", "prompt": "Compute: 95 / (-7 - (-69)) * 11 * (-505)", "solution_steps": ["Subtract: -7 - (-69) = 62", "Divide: 95 / 62 = 95/62", "Multiply: (95/62) * 11 = 1045/62", "Multiply: (1045/62) * (-505) = -527725/62"], "final_answer": "-527725/62", "answer_type": "rational", "kind": "expression", "math_text": "95 / (-7 - (-69)) * 11 * (-505)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -7, \"c\": -69, \"d\": 11, \"e\": -505}", "seed": "6600986701508014627", "semantic_fingerprint": "sha256:e933b7f4a29af02f04fbae31c0905a163701f4b48355a67572afa80ddf853cfd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002159", "prompt": "Solve for x: 8(x + 55) + 437 = x + 982", "solution_steps": ["Expand: 8x + 440 + 437 = x + 982", "Combine constants: 8x + 877 = x + 982", "Subtract x from both sides: 7x + 877 = 982", "Subtract 877 from both sides: 7x = 105", "Divide both sides by 7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 55) + 437 = x + 982", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 55, \"c\": 437, \"e\": 982, \"x\": 15}", "seed": "3251324399849584837", "semantic_fingerprint": "sha256:0ad243002c539390f68051aa46939b620832ed7aee23ad990e4783d953d1fbad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002160", "prompt": "Solve for x: 2x - 4 = 4x - 640", "solution_steps": ["Subtract 4x from both sides: -2x - 4 = -640", "Add 4 to both sides: -2x = -636", "Divide both sides by -2: x = 318"], "final_answer": "318", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 4 = 4x - 640", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 4, \"d\": 640}", "seed": "9028347494327774358", "semantic_fingerprint": "sha256:2066c414ca058e6f316693c955e29b616d299af0da464872aaf1e5b1ded0af84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002161", "prompt": "Compute: (-81 + (-87)) / (695 + 9)", "solution_steps": ["Add: -81 + (-87) = -168", "Add: 695 + 9 = 704", "Divide: -168 / 704 = -21/88"], "final_answer": "-21/88", "answer_type": "rational", "kind": "expression", "math_text": "(-81 + (-87)) / (695 + 9)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -87, \"c\": 695, \"d\": 9}", "seed": "68566728021887014", "semantic_fingerprint": "sha256:66775489c67da37c98b6a6dea4b86e0a8709acbe36ed8ae8dc8dceab977ab9b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002162", "prompt": "Solve for x: -2(x + 6) = 2(x - 60) + 80", "solution_steps": ["Expand: -2x - 12 = 2(x - 60) + 80", "Expand: -2x - 12 = 2x - 120 + 80", "Combine constants: -2x - 12 = 2x - 40", "Subtract 2x from both sides: -4x - 12 = -40", "Add 12 to both sides: -4x = -28", "Divide both sides by -4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 6) = 2(x - 60) + 80", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 2, \"d\": 60, \"f\": 80, \"x\": 7}", "seed": "3372943193938393829", "semantic_fingerprint": "sha256:3f4cfdb62b67135e43e367d7dd1b54b4cd83740ecb0082729106aa4d2d506874", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002163", "prompt": "What value of x satisfies 5(x + 20) + 73 = x + 153?", "solution_steps": ["Expand: 5x + 100 + 73 = x + 153", "Combine constants: 5x + 173 = x + 153", "Subtract x from both sides: 4x + 173 = 153", "Subtract 173 from both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 20) + 73 = x + 153", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 20, \"c\": 73, \"e\": 153, \"x\": -5}", "seed": "17246293887559286933", "semantic_fingerprint": "sha256:07be1a0d88ad19bd22e1682471820c9c8227d1b854ee95f6f30ea399f35db8e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002164", "prompt": "Find x: 9(x - 7) + 80 = 4(x + 13)", "solution_steps": ["Expand: 9x - 63 + 80 = 4(x + 13)", "Expand: 9x - 63 + 80 = 4x + 52", "Combine constants: 9x + 17 = 4x + 52", "Subtract 4x from both sides: 5x + 17 = 52", "Subtract 17 from both sides: 5x = 35", "Divide both sides by 5: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) + 80 = 4(x + 13)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 4, \"d\": 13, \"f\": 80, \"x\": 7}", "seed": "6435206832244782154", "semantic_fingerprint": "sha256:f358ea2aba1cff2962419f2db446b85a070cb687192dcac60175e5652ea11d49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002165", "prompt": "What value of x satisfies 10(x + 6) - 9 = x + 78?", "solution_steps": ["Expand: 10x + 60 - 9 = x + 78", "Combine constants: 10x + 51 = x + 78", "Subtract x from both sides: 9x + 51 = 78", "Subtract 51 from both sides: 9x = 27", "Divide both sides by 9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) - 9 = x + 78", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 9, \"e\": 78, \"x\": 3}", "seed": "15242721856861800738", "semantic_fingerprint": "sha256:dbd6c8272f435fdab9c83db6c1a94b810b67bd5d60b649e179d51bc7e6d30078", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002166", "prompt": "Calculate: 410 * 19 * (2 / 74)", "solution_steps": ["Multiply: 410 * 19 = 7790", "Divide: 2 / 74 = 1/37", "Multiply: 7790 * (1/37) = 7790/37"], "final_answer": "7790/37", "answer_type": "rational", "kind": "expression", "math_text": "410 * 19 * (2 / 74)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 410, \"b\": 19, \"c\": 2, \"d\": 74}", "seed": "6516217188851805808", "semantic_fingerprint": "sha256:a864407149af077f6b42799e47561be582dbc3062e62f7a9f80505c1d6d6fcca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002167", "prompt": "Solve the equation 10(x + 80) + 376 = x + 1 for x.", "solution_steps": ["Expand: 10x + 800 + 376 = x + 1", "Combine constants: 10x + 1176 = x + 1", "Subtract x from both sides: 9x + 1176 = 1", "Subtract 1176 from both sides: 9x = -1175", "Divide both sides by 9: x = -1175/9"], "final_answer": "-1175/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 80) + 376 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 80, \"c\": 376, \"d\": 1}", "seed": "7290267351071978781", "semantic_fingerprint": "sha256:6e94d692279724109238f332a51c80435d185d1a85ac5d0604469c1ed911768d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002168", "prompt": "Compute: (-83 + (-53) + 4 / 34 + 3) * 8", "solution_steps": ["Add: -83 + (-53) = -136", "Divide: 4 / 34 = 2/17", "Add: -136 + 2/17 = -2310/17", "Add: -2310/17 + 3 = -2259/17", "Multiply: (-2259/17) * 8 = -18072/17"], "final_answer": "-18072/17", "answer_type": "rational", "kind": "expression", "math_text": "(-83 + (-53) + 4 / 34 + 3) * 8", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ (+ n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -53, \"c\": 4, \"d\": 34, \"e\": 3, \"f\": 8}", "seed": "6652114470698997278", "semantic_fingerprint": "sha256:682d27cf6c0adea00f25368561d516464ed5d807249affa34ea83ac326c08819", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002169", "prompt": "Calculate: -35 / (-10 * 7) / (-44 * (-30))", "solution_steps": ["Multiply: -10 * 7 = -70", "Divide: -35 / (-70) = 1/2", "Multiply: -44 * (-30) = 1320", "Divide: (1/2) / 1320 = 1/2640"], "final_answer": "1/2640", "answer_type": "rational", "kind": "expression", "math_text": "-35 / (-10 * 7) / (-44 * (-30))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -10, \"c\": 7, \"d\": -44, \"e\": -30}", "seed": "6661146211609159984", "semantic_fingerprint": "sha256:d4ccd2b1ec9a0b7c0c83002e80141660fb7a7e590bb987fe63fd2c13aab825b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002170", "prompt": "What is -407 * (-6) + (-2) + 56 / (-875)?", "solution_steps": ["Multiply: -407 * (-6) = 2442", "Add: 2442 + (-2) = 2440", "Divide: 56 / (-875) = -8/125", "Add: 2440 + (-8/125) = 304992/125"], "final_answer": "304992/125", "answer_type": "rational", "kind": "expression", "math_text": "-407 * (-6) + (-2) + 56 / (-875)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -407, \"b\": -6, \"c\": -2, \"d\": 56, \"e\": -875}", "seed": "4104268748892337618", "semantic_fingerprint": "sha256:6b8be7ea7035d7077c672e53535648f21684473487c987bd92ca8bb0e1936911", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002171", "prompt": "Solve the equation -3(x + 2) = 4(x - 6) + 109 for x.", "solution_steps": ["Expand: -3x - 6 = 4(x - 6) + 109", "Expand: -3x - 6 = 4x - 24 + 109", "Combine constants: -3x - 6 = 4x + 85", "Subtract 4x from both sides: -7x - 6 = 85", "Add 6 to both sides: -7x = 91", "Divide both sides by -7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 2) = 4(x - 6) + 109", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 4, \"d\": 6, \"f\": 109, \"x\": -13}", "seed": "12023640793111731263", "semantic_fingerprint": "sha256:8c269179e12c9d3719b07723915478280ebc7ac67e642af19bf47e3ca2993f14", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002172", "prompt": "Solve for x: -2x = -3(x + 372) - 92", "solution_steps": ["Expand: -2x = -3x - 1116 - 92", "Combine constants: -2x = -3x - 1208", "Add 3x to both sides: x = -1208"], "final_answer": "-1208", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = -3(x + 372) - 92", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -3, \"c\": 372, \"d\": 92}", "seed": "17402760386818053365", "semantic_fingerprint": "sha256:946e95da04626e98573739867ab51c6e946099a444f92052d6f51cb9b573723e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002173", "prompt": "What is -3 / (-80) * (146 / 1)?", "solution_steps": ["Divide: -3 / (-80) = 3/80", "Divide: 146 / 1 = 146", "Multiply: (3/80) * 146 = 219/40"], "final_answer": "219/40", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-80) * (146 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -80, \"c\": 146, \"d\": 1}", "seed": "12678616938637401546", "semantic_fingerprint": "sha256:964d1943e923e865ff409d75776c4ae71cda034d32a5538808cb47e45cfe7e19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002174", "prompt": "Calculate: 27 * (-7) + 70 * (-4)", "solution_steps": ["Multiply: 27 * (-7) = -189", "Multiply: 70 * (-4) = -280", "Add: -189 + (-280) = -469"], "final_answer": "-469", "answer_type": "integer", "kind": "expression", "math_text": "27 * (-7) + 70 * (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -7, \"c\": 70, \"d\": -4}", "seed": "3437869822219955887", "semantic_fingerprint": "sha256:716ef9b86850511d074974200da323494ea1a5cd604c55278d4b4ab25d6b0c04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002175", "prompt": "Compute: (-6 / 4 - 6) * 7", "solution_steps": ["Divide: -6 / 4 = -3/2", "Subtract: -3/2 - 6 = -15/2", "Multiply: (-15/2) * 7 = -105/2"], "final_answer": "-105/2", "answer_type": "rational", "kind": "expression", "math_text": "(-6 / 4 - 6) * 7", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 6, \"d\": 7}", "seed": "10921844529282397703", "semantic_fingerprint": "sha256:9209f523ce63155217f3035f4f648f9e9086d221f8f20c48d71553aecee43041", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002176", "prompt": "Solve the equation 12(x + 5) + 646 = x + 8 for x.", "solution_steps": ["Expand: 12x + 60 + 646 = x + 8", "Combine constants: 12x + 706 = x + 8", "Subtract x from both sides: 11x + 706 = 8", "Subtract 706 from both sides: 11x = -698", "Divide both sides by 11: x = -698/11"], "final_answer": "-698/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 5) + 646 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 646, \"d\": 8}", "seed": "15779983148064831777", "semantic_fingerprint": "sha256:458771be46f039decae4aac959c973532bb72fc1d9a82810dfd09352791b2c63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002177", "prompt": "What is 54 / (-94) * (857 / 8)?", "solution_steps": ["Divide: 54 / (-94) = -27/47", "Divide: 857 / 8 = 857/8", "Multiply: (-27/47) * (857/8) = -23139/376"], "final_answer": "-23139/376", "answer_type": "rational", "kind": "expression", "math_text": "54 / (-94) * (857 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -94, \"c\": 857, \"d\": 8}", "seed": "15400235515039934395", "semantic_fingerprint": "sha256:0a5887027443aa2cc314173ffb424b847fd61e2f866e20da80b17e8ea52dd62c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002178", "prompt": "Evaluate: 5 / (4 - 2) + (-19 - (-5))", "solution_steps": ["Subtract: 4 - 2 = 2", "Divide: 5 / 2 = 5/2", "Subtract: -19 - (-5) = -14", "Add: 5/2 + (-14) = -23/2"], "final_answer": "-23/2", "answer_type": "rational", "kind": "expression", "math_text": "5 / (4 - 2) + (-19 - (-5))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 2, \"d\": -19, \"e\": -5}", "seed": "3781244667205311329", "semantic_fingerprint": "sha256:1dbf080f04a3c2457ce5272543463d66ef8971717970c8131c0fd0bceac0dd02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002179", "prompt": "Calculate: 3 + (-98 - (-827)) + 0", "solution_steps": ["Subtract: -98 - (-827) = 729", "Add: 3 + 729 = 732", "Add: 732 + 0 = 732"], "final_answer": "732", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-98 - (-827)) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -98, \"c\": -827, \"d\": 0}", "seed": "4047762751105194139", "semantic_fingerprint": "sha256:f06f710e6e4c3f41a6f1f50c2338116086487dd1b8f2b9a7bbe504c5892370ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002180", "prompt": "Solve for x: 2x - 7 = -8x - 187", "solution_steps": ["Add 8x to both sides: 10x - 7 = -187", "Add 7 to both sides: 10x = -180", "Divide both sides by 10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 7 = -8x - 187", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": -8, \"e\": -187, \"x\": -18}", "seed": "16004254423850631312", "semantic_fingerprint": "sha256:0eea61abc5784e795232ffcd9b89226bcfd5349bad7b18c40aff1e59dfddba86", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002181", "prompt": "Compute: -13 / 228 - (-7) - (-92) / 6", "solution_steps": ["Divide: -13 / 228 = -13/228", "Subtract: -13/228 - (-7) = 1583/228", "Divide: -92 / 6 = -46/3", "Subtract: 1583/228 - (-46/3) = 1693/76"], "final_answer": "1693/76", "answer_type": "rational", "kind": "expression", "math_text": "-13 / 228 - (-7) - (-92) / 6", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 228, \"c\": -7, \"d\": -92, \"e\": 6}", "seed": "636969437039733477", "semantic_fingerprint": "sha256:3f14d4bf8575e15e0c0a5106b70fe6e707b0f6476756b8c631cf2f5fb2479ddd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002182", "prompt": "Calculate: 0 * 69 + (7 - (-38))", "solution_steps": ["Multiply: 0 * 69 = 0", "Subtract: 7 - (-38) = 45", "Add: 0 + 45 = 45"], "final_answer": "45", "answer_type": "integer", "kind": "expression", "math_text": "0 * 69 + (7 - (-38))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 69, \"c\": 7, \"d\": -38}", "seed": "428464142968796000", "semantic_fingerprint": "sha256:a5ab19d4e781c13b0f4b9a5c6969c599b6538c3e271c0d6d580685eac5eaa7d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002183", "prompt": "Solve the equation 10(x + 2) = 8(x - 89) + 720 for x.", "solution_steps": ["Expand: 10x + 20 = 8(x - 89) + 720", "Expand: 10x + 20 = 8x - 712 + 720", "Combine constants: 10x + 20 = 8x + 8", "Subtract 8x from both sides: 2x + 20 = 8", "Subtract 20 from both sides: 2x = -12", "Divide both sides by 2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) = 8(x - 89) + 720", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 8, \"d\": 89, \"f\": 720, \"x\": -6}", "seed": "642314645455309781", "semantic_fingerprint": "sha256:76a5d76fa780e7f11ad74e5848c6cc90ac888bcc9ea56bd93f9eda75eb1dd004", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002184", "prompt": "Solve for x: -5x - 226 = 2(x - 57)", "solution_steps": ["Expand: -5x - 226 = 2x - 114", "Subtract 2x from both sides: -7x - 226 = -114", "Add 226 to both sides: -7x = 112", "Divide both sides by -7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 226 = 2(x - 57)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 57, \"e\": -226, \"x\": -16}", "seed": "3604700327463557376", "semantic_fingerprint": "sha256:aba6a8ae337ccd2e6172801cea2c19786cb0783364a83c9817623e2f90690997", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002185", "prompt": "What is -6 - 50 - (25 / 17 - (-123))?", "solution_steps": ["Subtract: -6 - 50 = -56", "Divide: 25 / 17 = 25/17", "Subtract: 25/17 - (-123) = 2116/17", "Subtract: -56 - 2116/17 = -3068/17"], "final_answer": "-3068/17", "answer_type": "rational", "kind": "expression", "math_text": "-6 - 50 - (25 / 17 - (-123))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 50, \"c\": 25, \"d\": 17, \"e\": -123}", "seed": "3691611634931759300", "semantic_fingerprint": "sha256:8723fc045d9c625166b474f91666e34fa406389d4dd7fe788c5cb2b668540e34", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002186", "prompt": "What is 646 * 5 * (3 / 2 - (-53))?", "solution_steps": ["Multiply: 646 * 5 = 3230", "Divide: 3 / 2 = 3/2", "Subtract: 3/2 - (-53) = 109/2", "Multiply: 3230 * (109/2) = 176035"], "final_answer": "176035", "answer_type": "integer", "kind": "expression", "math_text": "646 * 5 * (3 / 2 - (-53))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 646, \"b\": 5, \"c\": 3, \"d\": 2, \"e\": -53}", "seed": "8323204541401250748", "semantic_fingerprint": "sha256:6f33e3aeceb44ad065bba84542c2029e2325dcb4e18df455a6288a6d4166f7bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002187", "prompt": "Evaluate: 879 - (-9) + (-351 - (6 - (-54)) / (-68))", "solution_steps": ["Subtract: 879 - (-9) = 888", "Subtract: 6 - (-54) = 60", "Divide: 60 / (-68) = -15/17", "Subtract: -351 - (-15/17) = -5952/17", "Add: 888 + (-5952/17) = 9144/17"], "final_answer": "9144/17", "answer_type": "rational", "kind": "expression", "math_text": "879 - (-9) + (-351 - (6 - (-54)) / (-68))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- n (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 879, \"b\": -9, \"c\": -351, \"d\": 6, \"e\": -54, \"f\": -68}", "seed": "5863685551080891437", "semantic_fingerprint": "sha256:93a9e3e80e78080a0fb66cea4543a25a21233647775d50eebcfc615b960709fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002188", "prompt": "Evaluate: (-27 + (-1)) / (-57 - 302 / 4)", "solution_steps": ["Add: -27 + (-1) = -28", "Divide: 302 / 4 = 151/2", "Subtract: -57 - 151/2 = -265/2", "Divide: -28 / (-265/2) = 56/265"], "final_answer": "56/265", "answer_type": "rational", "kind": "expression", "math_text": "(-27 + (-1)) / (-57 - 302 / 4)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -1, \"c\": -57, \"d\": 302, \"e\": 4}", "seed": "1054624249549451041", "semantic_fingerprint": "sha256:aa89202e53c0c0013198ee842962af3d3960ebf69d3b486735d20f486d81b637", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002189", "prompt": "What value of x satisfies -7x - 345 = 6(x - 64)?", "solution_steps": ["Expand: -7x - 345 = 6x - 384", "Subtract 6x from both sides: -13x - 345 = -384", "Add 345 to both sides: -13x = -39", "Divide both sides by -13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 345 = 6(x - 64)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 64, \"e\": -345, \"x\": 3}", "seed": "10799771986274769521", "semantic_fingerprint": "sha256:e1109e615a26c8fa3b590756e64434203c455d4e309d89e53f109535b84998ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002190", "prompt": "Compute: -75 * (-49 - (-15 - (85 + 160)))", "solution_steps": ["Add: 85 + 160 = 245", "Subtract: -15 - 245 = -260", "Subtract: -49 - (-260) = 211", "Multiply: -75 * 211 = -15825"], "final_answer": "-15825", "answer_type": "integer", "kind": "expression", "math_text": "-75 * (-49 - (-15 - (85 + 160)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -49, \"c\": -15, \"d\": 85, \"e\": 160}", "seed": "13614844716893642539", "semantic_fingerprint": "sha256:46f343711f4fc0e7bc1a8014115dfc0adee830a497e53f9edaedce31a566bb00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002191", "prompt": "Evaluate: (2 + (-83) * (-2)) * (52 / 9 * 6)", "solution_steps": ["Multiply: -83 * (-2) = 166", "Add: 2 + 166 = 168", "Divide: 52 / 9 = 52/9", "Multiply: (52/9) * 6 = 104/3", "Multiply: 168 * (104/3) = 5824"], "final_answer": "5824", "answer_type": "integer", "kind": "expression", "math_text": "(2 + (-83) * (-2)) * (52 / 9 * 6)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (* n n)) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -83, \"c\": -2, \"d\": 52, \"e\": 9, \"f\": 6}", "seed": "536575697853514755", "semantic_fingerprint": "sha256:1cdc3f9c95fb40f5a9c931d386bbc666fddb0ecbdefa6eb77db6dbf669d98206", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002192", "prompt": "What value of x satisfies 8(x + 86) + 520 = x + 34?", "solution_steps": ["Expand: 8x + 688 + 520 = x + 34", "Combine constants: 8x + 1208 = x + 34", "Subtract x from both sides: 7x + 1208 = 34", "Subtract 1208 from both sides: 7x = -1174", "Divide both sides by 7: x = -1174/7"], "final_answer": "-1174/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 86) + 520 = x + 34", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 86, \"c\": 520, \"d\": 34}", "seed": "4346056920950747723", "semantic_fingerprint": "sha256:f7dcde584c13d3400ef3ef2e404b3f6977fd8f9d9b45b437b89bc21679682bcf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002193", "prompt": "Solve for x: 8x - 906 = -6x - 869", "solution_steps": ["Add 6x to both sides: 14x - 906 = -869", "Add 906 to both sides: 14x = 37", "Divide both sides by 14: x = 37/14"], "final_answer": "37/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 906 = -6x - 869", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 906, \"c\": -6, \"d\": 869}", "seed": "1748521519874068146", "semantic_fingerprint": "sha256:74270982a9e76741f6a8cc11a5f5edf14aeb47887c6719b0377fc8824777b7da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002194", "prompt": "What value of x satisfies 2(x - 984) + 16 = -4(x + 927)?", "solution_steps": ["Expand: 2x - 1968 + 16 = -4(x + 927)", "Expand: 2x - 1968 + 16 = -4x - 3708", "Combine constants: 2x - 1952 = -4x - 3708", "Add 4x to both sides: 6x - 1952 = -3708", "Add 1952 to both sides: 6x = -1756", "Divide both sides by 6: x = -878/3"], "final_answer": "-878/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 984) + 16 = -4(x + 927)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 984, \"c\": 16, \"d\": -4, \"e\": 927}", "seed": "10015022365929778262", "semantic_fingerprint": "sha256:60eebbcd5ae898a06a7b8f29597ec92b4556260357dadc29bb037d5f9348b61f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002195", "prompt": "Find x: 12(x + 81) = -9(x - 42) + 2", "solution_steps": ["Expand: 12x + 972 = -9(x - 42) + 2", "Expand: 12x + 972 = -9x + 378 + 2", "Combine constants: 12x + 972 = -9x + 380", "Add 9x to both sides: 21x + 972 = 380", "Subtract 972 from both sides: 21x = -592", "Divide both sides by 21: x = -592/21"], "final_answer": "-592/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 81) = -9(x - 42) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 81, \"c\": -9, \"d\": 42, \"e\": 2}", "seed": "859614780666934345", "semantic_fingerprint": "sha256:9ff4ff843daabf52062852211d2987e88f6c37dc470c4deeb7a034ce75d49175", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002196", "prompt": "Find x: 4(x + 54) = 2(x - 5) + 230", "solution_steps": ["Expand: 4x + 216 = 2(x - 5) + 230", "Expand: 4x + 216 = 2x - 10 + 230", "Combine constants: 4x + 216 = 2x + 220", "Subtract 2x from both sides: 2x + 216 = 220", "Subtract 216 from both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 54) = 2(x - 5) + 230", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 54, \"c\": 2, \"d\": 5, \"f\": 230, \"x\": 2}", "seed": "3835371202761217954", "semantic_fingerprint": "sha256:4f14b6021740848a5bdde1cd5188a3c8615a8fd77204173f4f3648f93a6c6c32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002197", "prompt": "Find x: 8x = 6(x + 63) - 348", "solution_steps": ["Expand: 8x = 6x + 378 - 348", "Combine constants: 8x = 6x + 30", "Subtract 6x from both sides: 2x = 30", "Divide both sides by 2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 6(x + 63) - 348", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 63, \"e\": -348, \"x\": 15}", "seed": "6199969290361788962", "semantic_fingerprint": "sha256:2f37a88f57cb220139f88f8901ca549e6568bae12391b36c4e11eedcc60d5f37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002198", "prompt": "Compute: 3 + (46 / 22 - (-38 - (-54)))", "solution_steps": ["Divide: 46 / 22 = 23/11", "Subtract: -38 - (-54) = 16", "Subtract: 23/11 - 16 = -153/11", "Add: 3 + (-153/11) = -120/11"], "final_answer": "-120/11", "answer_type": "rational", "kind": "expression", "math_text": "3 + (46 / 22 - (-38 - (-54)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 46, \"c\": 22, \"d\": -38, \"e\": -54}", "seed": "3768455636749440465", "semantic_fingerprint": "sha256:068536041536fa3c5a46fc0c1f0ac15a33af7728588cd2f8fb74c9e2a34a03a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002199", "prompt": "What is 9 - 5 / (-6) - 87?", "solution_steps": ["Divide: 5 / (-6) = -5/6", "Subtract: 9 - (-5/6) = 59/6", "Subtract: 59/6 - 87 = -463/6"], "final_answer": "-463/6", "answer_type": "rational", "kind": "expression", "math_text": "9 - 5 / (-6) - 87", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": -6, \"d\": 87}", "seed": "11350751242575672023", "semantic_fingerprint": "sha256:f994f783b2d165a6c077274a15a0f99ce30080c239c4aa547dd783b88a9b5364", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002200", "prompt": "Evaluate: -10 * (-20 * (7 + 9)) - (-16)", "solution_steps": ["Add: 7 + 9 = 16", "Multiply: -20 * 16 = -320", "Multiply: -10 * (-320) = 3200", "Subtract: 3200 - (-16) = 3216"], "final_answer": "3216", "answer_type": "integer", "kind": "expression", "math_text": "-10 * (-20 * (7 + 9)) - (-16)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -20, \"c\": 7, \"d\": 9, \"e\": -16}", "seed": "6875999653444948577", "semantic_fingerprint": "sha256:4bd51f17edcd21cccafebc6f104b1f367bb4f72654c41901c70acbca51159ebd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002201", "prompt": "Calculate: (-90 - (-89) * (-790)) / (-883)", "solution_steps": ["Multiply: -89 * (-790) = 70310", "Subtract: -90 - 70310 = -70400", "Divide: -70400 / (-883) = 70400/883"], "final_answer": "70400/883", "answer_type": "rational", "kind": "expression", "math_text": "(-90 - (-89) * (-790)) / (-883)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -89, \"c\": -790, \"d\": -883}", "seed": "1547705621135424877", "semantic_fingerprint": "sha256:0a491f56fc9411f20afdb37583d598227f14df1d5907c3747ba157b37affc69e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002202", "prompt": "Compute: 4 * 64 + (-878) * (9 * 8)", "solution_steps": ["Multiply: 4 * 64 = 256", "Multiply: 9 * 8 = 72", "Multiply: -878 * 72 = -63216", "Add: 256 + (-63216) = -62960"], "final_answer": "-62960", "answer_type": "integer", "kind": "expression", "math_text": "4 * 64 + (-878) * (9 * 8)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 64, \"c\": -878, \"d\": 9, \"e\": 8}", "seed": "14767708955136860128", "semantic_fingerprint": "sha256:24ec19b5b483035bd66995d965b20faa4b8513d5b7990bfb0f5e9661749e3162", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002203", "prompt": "Compute: (46 - 7 * 60) / (-996)", "solution_steps": ["Multiply: 7 * 60 = 420", "Subtract: 46 - 420 = -374", "Divide: -374 / (-996) = 187/498"], "final_answer": "187/498", "answer_type": "rational", "kind": "expression", "math_text": "(46 - 7 * 60) / (-996)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 7, \"c\": 60, \"d\": -996}", "seed": "8407263090181557174", "semantic_fingerprint": "sha256:32c5bcdeb25134f6816483e79ef55d0acf7e547accebf5a42a1b6b6bf850f40d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002204", "prompt": "Solve the equation 4(x + 68) - 3 = x + 242 for x.", "solution_steps": ["Expand: 4x + 272 - 3 = x + 242", "Combine constants: 4x + 269 = x + 242", "Subtract x from both sides: 3x + 269 = 242", "Subtract 269 from both sides: 3x = -27", "Divide both sides by 3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 68) - 3 = x + 242", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 68, \"c\": 3, \"e\": 242, \"x\": -9}", "seed": "9179864705040353121", "semantic_fingerprint": "sha256:d8e20e2da85bc26ef77eee8867df23c3fb5d0f060f111cf83b8e1a2c594dc7d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002205", "prompt": "What is -2 / (-15) / (-4) - 0?", "solution_steps": ["Divide: -2 / (-15) = 2/15", "Divide: (2/15) / (-4) = -1/30", "Subtract: -1/30 - 0 = -1/30"], "final_answer": "-1/30", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-15) / (-4) - 0", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -15, \"c\": -4, \"d\": 0}", "seed": "8323383729685008435", "semantic_fingerprint": "sha256:cc91656cc9a5b121381691b09a8b002d6f79103b60a9ec261476b2f675b7db88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002206", "prompt": "Solve for x: 6x = 2(x + 5) - 10", "solution_steps": ["Expand: 6x = 2x + 10 - 10", "Combine constants: 6x = 2x", "Subtract 2x from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 2(x + 5) - 10", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 5, \"e\": -10, \"x\": 0}", "seed": "2773661189145480581", "semantic_fingerprint": "sha256:dc8ffccb2b2e39f01d2f1fcb19f75b5b89524366c946509d985cd5a6a26bf98b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002207", "prompt": "Calculate: -83 * 87 + (-855 - (-7))", "solution_steps": ["Multiply: -83 * 87 = -7221", "Subtract: -855 - (-7) = -848", "Add: -7221 + (-848) = -8069"], "final_answer": "-8069", "answer_type": "integer", "kind": "expression", "math_text": "-83 * 87 + (-855 - (-7))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 87, \"c\": -855, \"d\": -7}", "seed": "7170220164486444883", "semantic_fingerprint": "sha256:cbd3efe81b200947d81fa7ac2b47139ca10e4b4fedba5ebaf742b62274a31d85", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002208", "prompt": "Solve the equation -3x - 44 = 11x - 184 for x.", "solution_steps": ["Subtract 11x from both sides: -14x - 44 = -184", "Add 44 to both sides: -14x = -140", "Divide both sides by -14: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 44 = 11x - 184", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 44, \"c\": 11, \"e\": -184, \"x\": 10}", "seed": "3160580721315896925", "semantic_fingerprint": "sha256:7438537d20951d5d752675bd8cde9991910d8a86abde391848477e54d7cb730d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002209", "prompt": "Solve for x: 12x = 11(x + 74) - 805", "solution_steps": ["Expand: 12x = 11x + 814 - 805", "Combine constants: 12x = 11x + 9", "Subtract 11x from both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 11(x + 74) - 805", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 11, \"c\": 74, \"e\": -805, \"x\": 9}", "seed": "6853504036277875379", "semantic_fingerprint": "sha256:91ad01c78e52a735c5a186ece3099c0db656bb2fb8f0acd8afb5666a78c6e0ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002210", "prompt": "Compute: 78 + (-7) - (72 - (-71) + 4) - (-77)", "solution_steps": ["Add: 78 + (-7) = 71", "Subtract: 72 - (-71) = 143", "Add: 143 + 4 = 147", "Subtract: 71 - 147 = -76", "Subtract: -76 - (-77) = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "78 + (-7) - (72 - (-71) + 4) - (-77)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -7, \"c\": 72, \"d\": -71, \"e\": 4, \"f\": -77}", "seed": "1764327543695901396", "semantic_fingerprint": "sha256:454a8941e9927421300a7dc2050ced62a2b3d54f959e28f13742d18a3e630aa2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002211", "prompt": "What is (301 + 5) * (-9 - (55 - (-567)))?", "solution_steps": ["Add: 301 + 5 = 306", "Subtract: 55 - (-567) = 622", "Subtract: -9 - 622 = -631", "Multiply: 306 * (-631) = -193086"], "final_answer": "-193086", "answer_type": "integer", "kind": "expression", "math_text": "(301 + 5) * (-9 - (55 - (-567)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 301, \"b\": 5, \"c\": -9, \"d\": 55, \"e\": -567}", "seed": "1308906679275755481", "semantic_fingerprint": "sha256:6cd023e9824f5caac1edda4416a3bfd0ff1465b2a57867504d3a569c1b3ba7c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002212", "prompt": "What is (-6 - (-773)) / (-3) * (22 / 5)?", "solution_steps": ["Subtract: -6 - (-773) = 767", "Divide: 767 / (-3) = -767/3", "Divide: 22 / 5 = 22/5", "Multiply: (-767/3) * (22/5) = -16874/15"], "final_answer": "-16874/15", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - (-773)) / (-3) * (22 / 5)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -773, \"c\": -3, \"d\": 22, \"e\": 5}", "seed": "1326430264602033020", "semantic_fingerprint": "sha256:6c21e1b1508da393c639adbbf3e68fd14153355866257c3db319110f24ea9e9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002213", "prompt": "Solve the equation 5x = -7(x + 666) + 18 for x.", "solution_steps": ["Expand: 5x = -7x - 4662 + 18", "Combine constants: 5x = -7x - 4644", "Add 7x to both sides: 12x = -4644", "Divide both sides by 12: x = -387"], "final_answer": "-387", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -7(x + 666) + 18", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": 666, \"d\": 18}", "seed": "18010461090491421054", "semantic_fingerprint": "sha256:79fc007dc5a871dbfe357e71c62e5b9dd8046926ce3a55c91fdf7e6c62dbdd27", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002214", "prompt": "What is 0 + 98 - 330 + (3 * 376 + (-37))?", "solution_steps": ["Add: 0 + 98 = 98", "Subtract: 98 - 330 = -232", "Multiply: 3 * 376 = 1128", "Add: 1128 + (-37) = 1091", "Add: -232 + 1091 = 859"], "final_answer": "859", "answer_type": "integer", "kind": "expression", "math_text": "0 + 98 - 330 + (3 * 376 + (-37))", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 98, \"c\": 330, \"d\": 3, \"e\": 376, \"f\": -37}", "seed": "3605159679002315697", "semantic_fingerprint": "sha256:fc9461551bf4dc0fb6490330e7dfe11d7e48009d797fa45ecdae0ca07719b983", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002215", "prompt": "Compute: (-619 * (-65) - (-30 - 28)) / (77 * (-84))", "solution_steps": ["Multiply: -619 * (-65) = 40235", "Subtract: -30 - 28 = -58", "Subtract: 40235 - (-58) = 40293", "Multiply: 77 * (-84) = -6468", "Divide: 40293 / (-6468) = -1221/196"], "final_answer": "-1221/196", "answer_type": "rational", "kind": "expression", "math_text": "(-619 * (-65) - (-30 - 28)) / (77 * (-84))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -619, \"b\": -65, \"c\": -30, \"d\": 28, \"e\": 77, \"f\": -84}", "seed": "7995913146664597516", "semantic_fingerprint": "sha256:3c731bcbe4e9f23b24c13bac87fcabd4c2ad1c978e41b9587e3c5192965f3318", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002216", "prompt": "What is 523 - 7 - (-1 * (-528) / (-842) + 4)?", "solution_steps": ["Subtract: 523 - 7 = 516", "Multiply: -1 * (-528) = 528", "Divide: 528 / (-842) = -264/421", "Add: -264/421 + 4 = 1420/421", "Subtract: 516 - 1420/421 = 215816/421"], "final_answer": "215816/421", "answer_type": "rational", "kind": "expression", "math_text": "523 - 7 - (-1 * (-528) / (-842) + 4)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 523, \"b\": 7, \"c\": -1, \"d\": -528, \"e\": -842, \"f\": 4}", "seed": "10564050415743860033", "semantic_fingerprint": "sha256:da9fa082bf5c6e0cebd10a66ef6b386af7129abdc424de0eaaab027e9af640a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002217", "prompt": "Solve the equation 4x = 2(x + 92) - 210 for x.", "solution_steps": ["Expand: 4x = 2x + 184 - 210", "Combine constants: 4x = 2x - 26", "Subtract 2x from both sides: 2x = -26", "Divide both sides by 2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 2(x + 92) - 210", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 92, \"e\": -210, \"x\": -13}", "seed": "969628005103706655", "semantic_fingerprint": "sha256:7052f5eea2361c56671d6c0470f8430e366fe7db699b1f8b4857e6362a18dc61", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002218", "prompt": "Compute: 61 / (-92) - (-9) - 7 * (-46)", "solution_steps": ["Divide: 61 / (-92) = -61/92", "Subtract: -61/92 - (-9) = 767/92", "Multiply: 7 * (-46) = -322", "Subtract: 767/92 - (-322) = 30391/92"], "final_answer": "30391/92", "answer_type": "rational", "kind": "expression", "math_text": "61 / (-92) - (-9) - 7 * (-46)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -92, \"c\": -9, \"d\": 7, \"e\": -46}", "seed": "16409479150281607597", "semantic_fingerprint": "sha256:469e92bba444b90cbafae58b4c73244593108b3c0b5fbc95982fb505223f151e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002219", "prompt": "Evaluate: (-60 - (-207) / 94) * 5 / (-43)", "solution_steps": ["Divide: -207 / 94 = -207/94", "Subtract: -60 - (-207/94) = -5433/94", "Multiply: (-5433/94) * 5 = -27165/94", "Divide: (-27165/94) / (-43) = 27165/4042"], "final_answer": "27165/4042", "answer_type": "rational", "kind": "expression", "math_text": "(-60 - (-207) / 94) * 5 / (-43)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -207, \"c\": 94, \"d\": 5, \"e\": -43}", "seed": "2327523020100470654", "semantic_fingerprint": "sha256:b06b8cf849551e987cd124ebc967e62630aa560a403d42310eddd8868b7d74df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002220", "prompt": "Evaluate: 9 + (-194) + (-79 + (-293) * 94 / (-50))", "solution_steps": ["Add: 9 + (-194) = -185", "Multiply: -293 * 94 = -27542", "Divide: -27542 / (-50) = 13771/25", "Add: -79 + 13771/25 = 11796/25", "Add: -185 + 11796/25 = 7171/25"], "final_answer": "7171/25", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-194) + (-79 + (-293) * 94 / (-50))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ n (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -194, \"c\": -79, \"d\": -293, \"e\": 94, \"f\": -50}", "seed": "15928441738387585966", "semantic_fingerprint": "sha256:012a7e7c197585aa917e8b3fc664fc52a74a7d41e63c195f27c2bd0d28db5169", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002221", "prompt": "What value of x satisfies 9x - 9 = 5x - 21?", "solution_steps": ["Subtract 5x from both sides: 4x - 9 = -21", "Add 9 to both sides: 4x = -12", "Divide both sides by 4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 9 = 5x - 21", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 5, \"e\": -21, \"x\": -3}", "seed": "8321714755706959386", "semantic_fingerprint": "sha256:610e670da63b4a3a32f98941207cbabe744d8b2e6816bb37b5c982f9ac91cceb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002222", "prompt": "Solve the equation 11x = 3(x + 91) - 393 for x.", "solution_steps": ["Expand: 11x = 3x + 273 - 393", "Combine constants: 11x = 3x - 120", "Subtract 3x from both sides: 8x = -120", "Divide both sides by 8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 3(x + 91) - 393", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 91, \"e\": -393, \"x\": -15}", "seed": "5576381827057119753", "semantic_fingerprint": "sha256:0cebcb7bb1ef1132b613a5a8b563267e9f1b2fad6cd72628213e0002e5ce31d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002223", "prompt": "Evaluate: -940 - (-314 + 177) - (-26) / 1 / (-35)", "solution_steps": ["Add: -314 + 177 = -137", "Subtract: -940 - (-137) = -803", "Divide: -26 / 1 = -26", "Divide: -26 / (-35) = 26/35", "Subtract: -803 - 26/35 = -28131/35"], "final_answer": "-28131/35", "answer_type": "rational", "kind": "expression", "math_text": "-940 - (-314 + 177) - (-26) / 1 / (-35)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -940, \"b\": -314, \"c\": 177, \"d\": -26, \"e\": 1, \"f\": -35}", "seed": "18243449482252828000", "semantic_fingerprint": "sha256:008a924c9be517980c86f8b5d1a7907b63dea55f8221dbffe25bccc33328ec25", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002224", "prompt": "Evaluate: -26 / (-391 - (-74)) - (821 - 16)", "solution_steps": ["Subtract: -391 - (-74) = -317", "Divide: -26 / (-317) = 26/317", "Subtract: 821 - 16 = 805", "Subtract: 26/317 - 805 = -255159/317"], "final_answer": "-255159/317", "answer_type": "rational", "kind": "expression", "math_text": "-26 / (-391 - (-74)) - (821 - 16)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -391, \"c\": -74, \"d\": 821, \"e\": 16}", "seed": "12117272216877563852", "semantic_fingerprint": "sha256:f29dfa60c657bf1e55e0cea1fcb36b5ce7a4dac0bd5b0c2c7134cc76d4b8fa03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002225", "prompt": "Calculate: 4 + (-7) / (52 + (86 - (-3)))", "solution_steps": ["Subtract: 86 - (-3) = 89", "Add: 52 + 89 = 141", "Divide: -7 / 141 = -7/141", "Add: 4 + (-7/141) = 557/141"], "final_answer": "557/141", "answer_type": "rational", "kind": "expression", "math_text": "4 + (-7) / (52 + (86 - (-3)))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -7, \"c\": 52, \"d\": 86, \"e\": -3}", "seed": "3769011575137306881", "semantic_fingerprint": "sha256:acdc436d0e39068ea8e2206173a6af838434a2d675038eab447761035b805b7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002226", "prompt": "Find x: 10x = -6(x + 9) + 6", "solution_steps": ["Expand: 10x = -6x - 54 + 6", "Combine constants: 10x = -6x - 48", "Add 6x to both sides: 16x = -48", "Divide both sides by 16: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -6(x + 9) + 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -6, \"c\": 9, \"e\": 6, \"x\": -3}", "seed": "15926429439359565094", "semantic_fingerprint": "sha256:4ae509863ee405cec0dd6757564b94ec317bff023ee60c7a1d4cfa3a1d89aece", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002227", "prompt": "Evaluate: 8 * (-94) + 0 * (-9)", "solution_steps": ["Multiply: 8 * (-94) = -752", "Multiply: 0 * (-9) = 0", "Add: -752 + 0 = -752"], "final_answer": "-752", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-94) + 0 * (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -94, \"c\": 0, \"d\": -9}", "seed": "15208096167975053383", "semantic_fingerprint": "sha256:25dd46992e826be0b995670f9b75bc8344d32a97179a268ef35f4011191d4be8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002228", "prompt": "Compute: 812 - (2 + 446) / 54", "solution_steps": ["Add: 2 + 446 = 448", "Divide: 448 / 54 = 224/27", "Subtract: 812 - 224/27 = 21700/27"], "final_answer": "21700/27", "answer_type": "rational", "kind": "expression", "math_text": "812 - (2 + 446) / 54", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 812, \"b\": 2, \"c\": 446, \"d\": 54}", "seed": "18156231545949334628", "semantic_fingerprint": "sha256:d3aa8ad385e643193da8400d31f582274e3ea2b7b18e2600aa06f2b309d6d313", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002229", "prompt": "Evaluate: 3 + 825 / (-9) * (0 / 633)", "solution_steps": ["Divide: 825 / (-9) = -275/3", "Divide: 0 / 633 = 0", "Multiply: (-275/3) * 0 = 0", "Add: 3 + 0 = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "3 + 825 / (-9) * (0 / 633)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 825, \"c\": -9, \"d\": 0, \"e\": 633}", "seed": "7260272157691459503", "semantic_fingerprint": "sha256:1bb8c69058e20a0a4f9b256c295ecb1d243c608c863c8ceb30f66ddb2301eee5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002230", "prompt": "What value of x satisfies -3(x - 1) + 339 = 9(x + 62)?", "solution_steps": ["Expand: -3x + 3 + 339 = 9(x + 62)", "Expand: -3x + 3 + 339 = 9x + 558", "Combine constants: -3x + 342 = 9x + 558", "Subtract 9x from both sides: -12x + 342 = 558", "Subtract 342 from both sides: -12x = 216", "Divide both sides by -12: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 1) + 339 = 9(x + 62)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 9, \"d\": 62, \"f\": 339, \"x\": -18}", "seed": "18405699388114405972", "semantic_fingerprint": "sha256:b8ab826f9871a0dd711bc89c3934f9602e3e13d451304a714ebf13ced159927f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002231", "prompt": "What value of x satisfies 3(x - 428) + 756 = -9(x + 72)?", "solution_steps": ["Expand: 3x - 1284 + 756 = -9(x + 72)", "Expand: 3x - 1284 + 756 = -9x - 648", "Combine constants: 3x - 528 = -9x - 648", "Add 9x to both sides: 12x - 528 = -648", "Add 528 to both sides: 12x = -120", "Divide both sides by 12: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 428) + 756 = -9(x + 72)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 428, \"c\": -9, \"d\": 72, \"f\": 756, \"x\": -10}", "seed": "8596547417310289364", "semantic_fingerprint": "sha256:44a6d3f484d9785f70e3d068801458dcc8114c1026f3dfad91a101fa41e8875d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002232", "prompt": "Evaluate: 23 - (-8) - (-83) / (41 * (5 / 5))", "solution_steps": ["Subtract: 23 - (-8) = 31", "Divide: 5 / 5 = 1", "Multiply: 41 * 1 = 41", "Divide: -83 / 41 = -83/41", "Subtract: 31 - (-83/41) = 1354/41"], "final_answer": "1354/41", "answer_type": "rational", "kind": "expression", "math_text": "23 - (-8) - (-83) / (41 * (5 / 5))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ n (* n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -8, \"c\": -83, \"d\": 41, \"e\": 5, \"f\": 5}", "seed": "10777369910367327273", "semantic_fingerprint": "sha256:121f571e2629026ada498ffb2b93aeef35ca2ff70a5d573f382763b3189fe618", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002233", "prompt": "Calculate: 0 / (-16 / (-341)) / (69 + 95)", "solution_steps": ["Divide: -16 / (-341) = 16/341", "Divide: 0 / (16/341) = 0", "Add: 69 + 95 = 164", "Divide: 0 / 164 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-16 / (-341)) / (69 + 95)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -16, \"c\": -341, \"d\": 69, \"e\": 95}", "seed": "675929532874964302", "semantic_fingerprint": "sha256:7bc9206ccba1d0adce44883351433b71a74d818d28ed13ddc0de37cb6134074b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002234", "prompt": "Calculate: -474 - (-88) / (-99) + (-503) - 79", "solution_steps": ["Divide: -88 / (-99) = 8/9", "Subtract: -474 - 8/9 = -4274/9", "Add: -4274/9 + (-503) = -8801/9", "Subtract: -8801/9 - 79 = -9512/9"], "final_answer": "-9512/9", "answer_type": "rational", "kind": "expression", "math_text": "-474 - (-88) / (-99) + (-503) - 79", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -474, \"b\": -88, \"c\": -99, \"d\": -503, \"e\": 79}", "seed": "2329170518085762455", "semantic_fingerprint": "sha256:1bb35940297ec07e36dc5d0ef99943989d22451b02ced7af920705182dfb7007", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002235", "prompt": "Evaluate: 956 - (33 / (42 * (-2)) - (-70))", "solution_steps": ["Multiply: 42 * (-2) = -84", "Divide: 33 / (-84) = -11/28", "Subtract: -11/28 - (-70) = 1949/28", "Subtract: 956 - 1949/28 = 24819/28"], "final_answer": "24819/28", "answer_type": "rational", "kind": "expression", "math_text": "956 - (33 / (42 * (-2)) - (-70))", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 956, \"b\": 33, \"c\": 42, \"d\": -2, \"e\": -70}", "seed": "6506334832098143471", "semantic_fingerprint": "sha256:de814a3cd78ec94bf7c48e2c9f246386bd569f2a8d5c246749a810edbe95f5f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002236", "prompt": "Calculate: 658 - (7 + 19) + (0 + (-160) / (-18))", "solution_steps": ["Add: 7 + 19 = 26", "Subtract: 658 - 26 = 632", "Divide: -160 / (-18) = 80/9", "Add: 0 + 80/9 = 80/9", "Add: 632 + 80/9 = 5768/9"], "final_answer": "5768/9", "answer_type": "rational", "kind": "expression", "math_text": "658 - (7 + 19) + (0 + (-160) / (-18))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ n n)) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 658, \"b\": 7, \"c\": 19, \"d\": 0, \"e\": -160, \"f\": -18}", "seed": "658243081675057276", "semantic_fingerprint": "sha256:11934fa163e19d3fcc977cfaa94ce8fbc1b46c9120f3651060ea11b69457259f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002237", "prompt": "Compute: 50 / ((421 - 42) / (-823) * (-14))", "solution_steps": ["Subtract: 421 - 42 = 379", "Divide: 379 / (-823) = -379/823", "Multiply: (-379/823) * (-14) = 5306/823", "Divide: 50 / (5306/823) = 20575/2653"], "final_answer": "20575/2653", "answer_type": "rational", "kind": "expression", "math_text": "50 / ((421 - 42) / (-823) * (-14))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 421, \"c\": 42, \"d\": -823, \"e\": -14}", "seed": "12516983666617526986", "semantic_fingerprint": "sha256:203cd1575ff232bc4dfdd667e9b31de4ace2b7bf2a588b4595de8a9444e113cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002238", "prompt": "Solve the equation 9x - 27 = -11x - 39 for x.", "solution_steps": ["Add 11x to both sides: 20x - 27 = -39", "Add 27 to both sides: 20x = -12", "Divide both sides by 20: x = -3/5"], "final_answer": "-3/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 27 = -11x - 39", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 27, \"c\": -11, \"d\": 39}", "seed": "15003638198980380997", "semantic_fingerprint": "sha256:6964d65c4dbfb762aca4fe74f068ff87c12b53f659ee578b05cd443bdd404547", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002239", "prompt": "What is 40 / 95 * 1 * (-81 * (5 * (-44)))?", "solution_steps": ["Divide: 40 / 95 = 8/19", "Multiply: (8/19) * 1 = 8/19", "Multiply: 5 * (-44) = -220", "Multiply: -81 * (-220) = 17820", "Multiply: (8/19) * 17820 = 142560/19"], "final_answer": "142560/19", "answer_type": "rational", "kind": "expression", "math_text": "40 / 95 * 1 * (-81 * (5 * (-44)))", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n n) n) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 95, \"c\": 1, \"d\": -81, \"e\": 5, \"f\": -44}", "seed": "16175739333650171633", "semantic_fingerprint": "sha256:8cbac3dbb88946b768a1394a98c6799d7cafacd98a6a92a586408ae9f06a1f19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002240", "prompt": "Evaluate: (-3 / 6 - (-271)) * 88", "solution_steps": ["Divide: -3 / 6 = -1/2", "Subtract: -1/2 - (-271) = 541/2", "Multiply: (541/2) * 88 = 23804"], "final_answer": "23804", "answer_type": "integer", "kind": "expression", "math_text": "(-3 / 6 - (-271)) * 88", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": -271, \"d\": 88}", "seed": "17600079628534369401", "semantic_fingerprint": "sha256:44dfd0b4bbd91fd855fe32db531eedf2d46825b3de06ee13e3ba6d51ecaa4a14", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002241", "prompt": "What is 80 * (14 - (-30 + 9 + (-50)))?", "solution_steps": ["Add: -30 + 9 = -21", "Add: -21 + (-50) = -71", "Subtract: 14 - (-71) = 85", "Multiply: 80 * 85 = 6800"], "final_answer": "6800", "answer_type": "integer", "kind": "expression", "math_text": "80 * (14 - (-30 + 9 + (-50)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 14, \"c\": -30, \"d\": 9, \"e\": -50}", "seed": "9825250251991075408", "semantic_fingerprint": "sha256:9bb753bf23504897971daf86e686d05dc6645376d48a93f4986286cfc678550d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002242", "prompt": "Compute: (-10 - (-878)) / ((-46 - 47) / (-8 / (-416)))", "solution_steps": ["Subtract: -10 - (-878) = 868", "Subtract: -46 - 47 = -93", "Divide: -8 / (-416) = 1/52", "Divide: -93 / (1/52) = -4836", "Divide: 868 / (-4836) = -7/39"], "final_answer": "-7/39", "answer_type": "rational", "kind": "expression", "math_text": "(-10 - (-878)) / ((-46 - 47) / (-8 / (-416)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -878, \"c\": -46, \"d\": 47, \"e\": -8, \"f\": -416}", "seed": "12209493625666181026", "semantic_fingerprint": "sha256:3babdcc6e70a73a1ba16ff6ca5dc43a2c677473b1062e7833dcacaccd88c6879", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002243", "prompt": "Evaluate: -60 * (-5 / (-5)) * (55 * (-28))", "solution_steps": ["Divide: -5 / (-5) = 1", "Multiply: -60 * 1 = -60", "Multiply: 55 * (-28) = -1540", "Multiply: -60 * (-1540) = 92400"], "final_answer": "92400", "answer_type": "integer", "kind": "expression", "math_text": "-60 * (-5 / (-5)) * (55 * (-28))", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -5, \"c\": -5, \"d\": 55, \"e\": -28}", "seed": "13825787498644109888", "semantic_fingerprint": "sha256:d12df29dc1404e9fdb39ca2f08acfd4efca9a9f4ada90166bf4c4120464e031c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002244", "prompt": "What is -63 - (29 + (-280 + 30)) / 808?", "solution_steps": ["Add: -280 + 30 = -250", "Add: 29 + (-250) = -221", "Divide: -221 / 808 = -221/808", "Subtract: -63 - (-221/808) = -50683/808"], "final_answer": "-50683/808", "answer_type": "rational", "kind": "expression", "math_text": "-63 - (29 + (-280 + 30)) / 808", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 29, \"c\": -280, \"d\": 30, \"e\": 808}", "seed": "5817972295310313628", "semantic_fingerprint": "sha256:812047e47372c60ec5b483afe3f7e16f278c70bbc895ed0e2c44b926f710b349", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002245", "prompt": "Solve for x: 10x = 2(x + 693) + 256", "solution_steps": ["Expand: 10x = 2x + 1386 + 256", "Combine constants: 10x = 2x + 1642", "Subtract 2x from both sides: 8x = 1642", "Divide both sides by 8: x = 821/4"], "final_answer": "821/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 2(x + 693) + 256", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 693, \"d\": 256}", "seed": "4727205566517972894", "semantic_fingerprint": "sha256:66c03fd752c1fd88a492e65526f5a2398be97e99b7c69e336141b0116a058b25", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002246", "prompt": "Find x: 6(x + 37) = -3(x - 6) + 222", "solution_steps": ["Expand: 6x + 222 = -3(x - 6) + 222", "Expand: 6x + 222 = -3x + 18 + 222", "Combine constants: 6x + 222 = -3x + 240", "Add 3x to both sides: 9x + 222 = 240", "Subtract 222 from both sides: 9x = 18", "Divide both sides by 9: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 37) = -3(x - 6) + 222", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 37, \"c\": -3, \"d\": 6, \"f\": 222, \"x\": 2}", "seed": "9911297883980637065", "semantic_fingerprint": "sha256:1a17734ca09a0c3ae9c5cf89c7b60ec9c5dea89989cb73ea30c5b2e585763dcd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002247", "prompt": "What value of x satisfies 5(x - 2) + 64 = 2(x + 8)?", "solution_steps": ["Expand: 5x - 10 + 64 = 2(x + 8)", "Expand: 5x - 10 + 64 = 2x + 16", "Combine constants: 5x + 54 = 2x + 16", "Subtract 2x from both sides: 3x + 54 = 16", "Subtract 54 from both sides: 3x = -38", "Divide both sides by 3: x = -38/3"], "final_answer": "-38/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 2) + 64 = 2(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 64, \"d\": 2, \"e\": 8}", "seed": "11635599997025860288", "semantic_fingerprint": "sha256:bb8a567d317ce9b3be74436e00a3baadd68d2809b96b572138c6b0ae87da2695", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002248", "prompt": "Find x: -12(x - 60) - 40 = x + 433", "solution_steps": ["Expand: -12x + 720 - 40 = x + 433", "Combine constants: -12x + 680 = x + 433", "Subtract x from both sides: -13x + 680 = 433", "Subtract 680 from both sides: -13x = -247", "Divide both sides by -13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 60) - 40 = x + 433", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 60, \"c\": 40, \"e\": 433, \"x\": 19}", "seed": "2526455451727500339", "semantic_fingerprint": "sha256:22344bf59427045ce0b3c459ce38041728829b9dd536de7585c4ef887be7b043", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002249", "prompt": "Solve the equation 4(x + 39) = 12(x - 2) + 276 for x.", "solution_steps": ["Expand: 4x + 156 = 12(x - 2) + 276", "Expand: 4x + 156 = 12x - 24 + 276", "Combine constants: 4x + 156 = 12x + 252", "Subtract 12x from both sides: -8x + 156 = 252", "Subtract 156 from both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 39) = 12(x - 2) + 276", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 39, \"c\": 12, \"d\": 2, \"f\": 276, \"x\": -12}", "seed": "9431067626797869426", "semantic_fingerprint": "sha256:9952afd2dd91664f227b6c8ac96e760912c5771426d97767cf37f8fa5e19597a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002250", "prompt": "What is 3 - (26 + (-33) + (-3)) * 5?", "solution_steps": ["Add: 26 + (-33) = -7", "Add: -7 + (-3) = -10", "Multiply: -10 * 5 = -50", "Subtract: 3 - (-50) = 53"], "final_answer": "53", "answer_type": "integer", "kind": "expression", "math_text": "3 - (26 + (-33) + (-3)) * 5", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 26, \"c\": -33, \"d\": -3, \"e\": 5}", "seed": "11625270825933918636", "semantic_fingerprint": "sha256:d89c0433217839ab0ccc03e92ad821ade3af096f06fb4742270b28d29803fd77", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002251", "prompt": "Evaluate: -65 * (15 / 89 / ((-25 - 85) / (-15)))", "solution_steps": ["Divide: 15 / 89 = 15/89", "Subtract: -25 - 85 = -110", "Divide: -110 / (-15) = 22/3", "Divide: (15/89) / (22/3) = 45/1958", "Multiply: -65 * (45/1958) = -2925/1958"], "final_answer": "-2925/1958", "answer_type": "rational", "kind": "expression", "math_text": "-65 * (15 / 89 / ((-25 - 85) / (-15)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (/ n n) (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 15, \"c\": 89, \"d\": -25, \"e\": 85, \"f\": -15}", "seed": "16489770291317666611", "semantic_fingerprint": "sha256:bd492038aa6d48cda1a815eec5b90085955cde8a3ededc8648d66dca1f11de5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002252", "prompt": "Compute: (-62 - 9) * (-5) / (21 * 9 * (-1))", "solution_steps": ["Subtract: -62 - 9 = -71", "Multiply: -71 * (-5) = 355", "Multiply: 21 * 9 = 189", "Multiply: 189 * (-1) = -189", "Divide: 355 / (-189) = -355/189"], "final_answer": "-355/189", "answer_type": "rational", "kind": "expression", "math_text": "(-62 - 9) * (-5) / (21 * 9 * (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) n) (* (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 9, \"c\": -5, \"d\": 21, \"e\": 9, \"f\": -1}", "seed": "3793368252573526999", "semantic_fingerprint": "sha256:c6c8ed10899bf34b886914375d89906b9d620c9d294fdbf38d614425e2accd5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002253", "prompt": "Compute: (77 + 1) / (-80 - (-5)) - (-976 + 422)", "solution_steps": ["Add: 77 + 1 = 78", "Subtract: -80 - (-5) = -75", "Divide: 78 / (-75) = -26/25", "Add: -976 + 422 = -554", "Subtract: -26/25 - (-554) = 13824/25"], "final_answer": "13824/25", "answer_type": "rational", "kind": "expression", "math_text": "(77 + 1) / (-80 - (-5)) - (-976 + 422)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 1, \"c\": -80, \"d\": -5, \"e\": -976, \"f\": 422}", "seed": "17426849480232094267", "semantic_fingerprint": "sha256:f34bdc1bfa5a13aff1c9551422f3a61b88b61c23512a1551ec5baa9c74b85d3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002254", "prompt": "Solve for x: 5x = 8(x + 6) - 36", "solution_steps": ["Expand: 5x = 8x + 48 - 36", "Combine constants: 5x = 8x + 12", "Subtract 8x from both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 8(x + 6) - 36", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 6, \"e\": -36, \"x\": -4}", "seed": "53776154778041468", "semantic_fingerprint": "sha256:093d36b6a2d0d79c224aa8a1f09caaac7848f51a6dc864eccb7484e7557cdf4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002255", "prompt": "Find x: 7(x - 2) + 41 = 11(x + 9)", "solution_steps": ["Expand: 7x - 14 + 41 = 11(x + 9)", "Expand: 7x - 14 + 41 = 11x + 99", "Combine constants: 7x + 27 = 11x + 99", "Subtract 11x from both sides: -4x + 27 = 99", "Subtract 27 from both sides: -4x = 72", "Divide both sides by -4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 2) + 41 = 11(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 11, \"d\": 9, \"f\": 41, \"x\": -18}", "seed": "12976729673037871868", "semantic_fingerprint": "sha256:b76ae3b3b115234165fcde48a4dbc67a73d92ef5f572d73cedb95d2ad6c727c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002256", "prompt": "Calculate: -47 * (13 / 4 + (0 + (-47)))", "solution_steps": ["Divide: 13 / 4 = 13/4", "Add: 0 + (-47) = -47", "Add: 13/4 + (-47) = -175/4", "Multiply: -47 * (-175/4) = 8225/4"], "final_answer": "8225/4", "answer_type": "rational", "kind": "expression", "math_text": "-47 * (13 / 4 + (0 + (-47)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 13, \"c\": 4, \"d\": 0, \"e\": -47}", "seed": "1867211359449858678", "semantic_fingerprint": "sha256:3aee84c186561eb3c5be4bb331628e7485f414e32cb8ff69614da3b650539a73", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002257", "prompt": "Solve the equation -11(x - 74) - 9 = x + 613 for x.", "solution_steps": ["Expand: -11x + 814 - 9 = x + 613", "Combine constants: -11x + 805 = x + 613", "Subtract x from both sides: -12x + 805 = 613", "Subtract 805 from both sides: -12x = -192", "Divide both sides by -12: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 74) - 9 = x + 613", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 74, \"c\": 9, \"e\": 613, \"x\": 16}", "seed": "9966410186287525946", "semantic_fingerprint": "sha256:e22918a8378e74361304018844e0ff15698a004c3723d626df15104022a71614", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002258", "prompt": "Calculate: (-5 - (-80) * (-57)) / 4", "solution_steps": ["Multiply: -80 * (-57) = 4560", "Subtract: -5 - 4560 = -4565", "Divide: -4565 / 4 = -4565/4"], "final_answer": "-4565/4", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-80) * (-57)) / 4", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -80, \"c\": -57, \"d\": 4}", "seed": "6352090808163327400", "semantic_fingerprint": "sha256:cd5a646e31d5edc84f911e281559a81bd3b83e894e1ac961558c1919898dd0a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002259", "prompt": "Solve for x: 9x = 5(x + 6) - 22", "solution_steps": ["Expand: 9x = 5x + 30 - 22", "Combine constants: 9x = 5x + 8", "Subtract 5x from both sides: 4x = 8", "Divide both sides by 4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 5(x + 6) - 22", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 6, \"e\": -22, \"x\": 2}", "seed": "5028686459335450483", "semantic_fingerprint": "sha256:2ba251a40ada953cca7bc02b3722e8a74233d8ab24c8b39f6f8988d12752a8ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002260", "prompt": "Calculate: -9 / (-50) + (-3) - 1 * 315 + (-9)", "solution_steps": ["Divide: -9 / (-50) = 9/50", "Add: 9/50 + (-3) = -141/50", "Multiply: 1 * 315 = 315", "Subtract: -141/50 - 315 = -15891/50", "Add: -15891/50 + (-9) = -16341/50"], "final_answer": "-16341/50", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-50) + (-3) - 1 * 315 + (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -50, \"c\": -3, \"d\": 1, \"e\": 315, \"f\": -9}", "seed": "12016082583142873896", "semantic_fingerprint": "sha256:c750d79e0a00701b886258522cfdfe4f573950d5cde712d9250718a8261bfd97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002261", "prompt": "Find x: 10(x + 5) = -7(x - 10) + 31", "solution_steps": ["Expand: 10x + 50 = -7(x - 10) + 31", "Expand: 10x + 50 = -7x + 70 + 31", "Combine constants: 10x + 50 = -7x + 101", "Add 7x to both sides: 17x + 50 = 101", "Subtract 50 from both sides: 17x = 51", "Divide both sides by 17: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 5) = -7(x - 10) + 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": -7, \"d\": 10, \"f\": 31, \"x\": 3}", "seed": "10182455793764902094", "semantic_fingerprint": "sha256:08e8b3f5d6d63568d99b91b324a18562720d86a6cf384021ec4240795f66a466", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002262", "prompt": "Solve for x: 6(x + 90) + 1 = x + 601", "solution_steps": ["Expand: 6x + 540 + 1 = x + 601", "Combine constants: 6x + 541 = x + 601", "Subtract x from both sides: 5x + 541 = 601", "Subtract 541 from both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 90) + 1 = x + 601", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 90, \"c\": 1, \"e\": 601, \"x\": 12}", "seed": "9099962792242421366", "semantic_fingerprint": "sha256:80b2a1a2bb641dd1bc343979422aa4cd2b6d5601c0347b8ba49d308b43975591", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002263", "prompt": "Compute: 4 / (2 + (-57)) + (-28) * 70", "solution_steps": ["Add: 2 + (-57) = -55", "Divide: 4 / (-55) = -4/55", "Multiply: -28 * 70 = -1960", "Add: -4/55 + (-1960) = -107804/55"], "final_answer": "-107804/55", "answer_type": "rational", "kind": "expression", "math_text": "4 / (2 + (-57)) + (-28) * 70", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": -57, \"d\": -28, \"e\": 70}", "seed": "9841854305442966529", "semantic_fingerprint": "sha256:566e8405e469f2098a909cfc67a339f64b858db07f21798849440dbe368e4904", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002264", "prompt": "Compute: -59 * 2 + (-66) * 4", "solution_steps": ["Multiply: -59 * 2 = -118", "Multiply: -66 * 4 = -264", "Add: -118 + (-264) = -382"], "final_answer": "-382", "answer_type": "integer", "kind": "expression", "math_text": "-59 * 2 + (-66) * 4", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 2, \"c\": -66, \"d\": 4}", "seed": "6938468222033971057", "semantic_fingerprint": "sha256:2a264aac6d30fe7fcd14c71aeb4025c4cd93f4d1c0a6167b475c6fc535229b89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002265", "prompt": "Calculate: -80 * (-84) - 2 + (6 - (-72) - (-11))", "solution_steps": ["Multiply: -80 * (-84) = 6720", "Subtract: 6720 - 2 = 6718", "Subtract: 6 - (-72) = 78", "Subtract: 78 - (-11) = 89", "Add: 6718 + 89 = 6807"], "final_answer": "6807", "answer_type": "integer", "kind": "expression", "math_text": "-80 * (-84) - 2 + (6 - (-72) - (-11))", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -84, \"c\": 2, \"d\": 6, \"e\": -72, \"f\": -11}", "seed": "7389601632327148541", "semantic_fingerprint": "sha256:bdb7c62c45e90106e4574e037b0a19b622c161d5a898fee66b3fa5c03e278f8d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002266", "prompt": "What value of x satisfies -5(x + 2) - 88 = x + 22?", "solution_steps": ["Expand: -5x - 10 - 88 = x + 22", "Combine constants: -5x - 98 = x + 22", "Subtract x from both sides: -6x - 98 = 22", "Add 98 to both sides: -6x = 120", "Divide both sides by -6: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 2) - 88 = x + 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 88, \"e\": 22, \"x\": -20}", "seed": "16240415627602556022", "semantic_fingerprint": "sha256:a02d02167530b1e158a9817fea66907c6cb25e2b9c75f1d999af0f5db2746973", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002267", "prompt": "Find x: -7(x + 80) + 5 = x + 87", "solution_steps": ["Expand: -7x - 560 + 5 = x + 87", "Combine constants: -7x - 555 = x + 87", "Subtract x from both sides: -8x - 555 = 87", "Add 555 to both sides: -8x = 642", "Divide both sides by -8: x = -321/4"], "final_answer": "-321/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 80) + 5 = x + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 80, \"c\": 5, \"d\": 87}", "seed": "11266786256645886675", "semantic_fingerprint": "sha256:2bc65a87b4e7dd7adddf25fc98fccb6f4d987ddce436d9bf74eb6da4caa9834f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002268", "prompt": "Calculate: (5 + 3) * (-1 - (54 - (-92)))", "solution_steps": ["Add: 5 + 3 = 8", "Subtract: 54 - (-92) = 146", "Subtract: -1 - 146 = -147", "Multiply: 8 * (-147) = -1176"], "final_answer": "-1176", "answer_type": "integer", "kind": "expression", "math_text": "(5 + 3) * (-1 - (54 - (-92)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": -1, \"d\": 54, \"e\": -92}", "seed": "10260774194224236489", "semantic_fingerprint": "sha256:b7a4f2cdaef3f57f1f8db5075e7aa5a0496215acf517e0221ffdecac3d8c6bd0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002269", "prompt": "What value of x satisfies -4(x - 5) + 120 = 8(x + 31)?", "solution_steps": ["Expand: -4x + 20 + 120 = 8(x + 31)", "Expand: -4x + 20 + 120 = 8x + 248", "Combine constants: -4x + 140 = 8x + 248", "Subtract 8x from both sides: -12x + 140 = 248", "Subtract 140 from both sides: -12x = 108", "Divide both sides by -12: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 5) + 120 = 8(x + 31)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 8, \"d\": 31, \"f\": 120, \"x\": -9}", "seed": "3684345509575206156", "semantic_fingerprint": "sha256:eadbb3895dc6c143bdd8ec96cff81bec1687940c97d4ad9559d518b8f0749842", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002270", "prompt": "What is 38 + (7 - 2) + 2?", "solution_steps": ["Subtract: 7 - 2 = 5", "Add: 38 + 5 = 43", "Add: 43 + 2 = 45"], "final_answer": "45", "answer_type": "integer", "kind": "expression", "math_text": "38 + (7 - 2) + 2", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 7, \"c\": 2, \"d\": 2}", "seed": "18025260841475778484", "semantic_fingerprint": "sha256:e80f9f286eb9ee5c0e444e7edec3d8c57116c5d0e54bb852e3d094f0908a2440", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002271", "prompt": "Solve for x: 12x = 8(x + 89) + 128", "solution_steps": ["Expand: 12x = 8x + 712 + 128", "Combine constants: 12x = 8x + 840", "Subtract 8x from both sides: 4x = 840", "Divide both sides by 4: x = 210"], "final_answer": "210", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 8(x + 89) + 128", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 89, \"d\": 128}", "seed": "304013526792669097", "semantic_fingerprint": "sha256:6688b8d85c42b3afc86beb5f5b91989bad584624fdde22dc0b150bf83594b7c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002272", "prompt": "Calculate: -78 * (-10) + 0 + 0", "solution_steps": ["Multiply: -78 * (-10) = 780", "Add: 780 + 0 = 780", "Add: 780 + 0 = 780"], "final_answer": "780", "answer_type": "integer", "kind": "expression", "math_text": "-78 * (-10) + 0 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -10, \"c\": 0, \"d\": 0}", "seed": "3456565808449682550", "semantic_fingerprint": "sha256:0e5a9798bc5a8722b572ec2cfecb7ab7f1b4af4e2692eb98e0d9f2a7437fdeca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002273", "prompt": "Calculate: 945 - (12 + 27) / 987", "solution_steps": ["Add: 12 + 27 = 39", "Divide: 39 / 987 = 13/329", "Subtract: 945 - 13/329 = 310892/329"], "final_answer": "310892/329", "answer_type": "rational", "kind": "expression", "math_text": "945 - (12 + 27) / 987", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 945, \"b\": 12, \"c\": 27, \"d\": 987}", "seed": "6801850623264646934", "semantic_fingerprint": "sha256:d3b42939bd9c298f241bf0a93b2ee76cf2fed67b2c22ff8cbc9a4cc4c45b10b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002274", "prompt": "Compute: (-237 - (-99)) * (-41) / (-37 - (-935))", "solution_steps": ["Subtract: -237 - (-99) = -138", "Multiply: -138 * (-41) = 5658", "Subtract: -37 - (-935) = 898", "Divide: 5658 / 898 = 2829/449"], "final_answer": "2829/449", "answer_type": "rational", "kind": "expression", "math_text": "(-237 - (-99)) * (-41) / (-37 - (-935))", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -237, \"b\": -99, \"c\": -41, \"d\": -37, \"e\": -935}", "seed": "4921282272055006376", "semantic_fingerprint": "sha256:61c0cb1a8c5188a756a6d21f09a7cb1251f95364000ac72abd2cd4ee7795c4d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002275", "prompt": "Evaluate: (-8 + 73) * (147 - 0 - 816) - 482", "solution_steps": ["Add: -8 + 73 = 65", "Subtract: 147 - 0 = 147", "Subtract: 147 - 816 = -669", "Multiply: 65 * (-669) = -43485", "Subtract: -43485 - 482 = -43967"], "final_answer": "-43967", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + 73) * (147 - 0 - 816) - 482", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) (- (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 73, \"c\": 147, \"d\": 0, \"e\": 816, \"f\": 482}", "seed": "6628470118256530732", "semantic_fingerprint": "sha256:2e1e49881ee33b18f72ff435eeeea1d853b2188589264fc9c0a96f989ffe302f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002276", "prompt": "Solve for x: 11x - 35 = 5(x - 7)", "solution_steps": ["Expand: 11x - 35 = 5x - 35", "Subtract 5x from both sides: 6x - 35 = -35", "Add 35 to both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 35 = 5(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 7, \"e\": -35, \"x\": 0}", "seed": "12217658626005566156", "semantic_fingerprint": "sha256:6c7b5aa62841c19f2be500ff3b43a1903bf1aa291f668bdb119950b0d10ab2be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002277", "prompt": "Solve for x: 4(x + 3) + 886 = x + 940", "solution_steps": ["Expand: 4x + 12 + 886 = x + 940", "Combine constants: 4x + 898 = x + 940", "Subtract x from both sides: 3x + 898 = 940", "Subtract 898 from both sides: 3x = 42", "Divide both sides by 3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 3) + 886 = x + 940", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 886, \"e\": 940, \"x\": 14}", "seed": "581574803998343711", "semantic_fingerprint": "sha256:9c02e637d6c5adc5277b3f23dc4d6fc910d21b4dabecec561748c6d304868e53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002278", "prompt": "Solve the equation 9x = 2(x + 132) - 271 for x.", "solution_steps": ["Expand: 9x = 2x + 264 - 271", "Combine constants: 9x = 2x - 7", "Subtract 2x from both sides: 7x = -7", "Divide both sides by 7: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 2(x + 132) - 271", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 132, \"e\": -271, \"x\": -1}", "seed": "15617219050955304577", "semantic_fingerprint": "sha256:a8297e5787355c9ca2652ea83f959076aa2bdcd98b859e9aabd30e3ea1579d4e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002279", "prompt": "What value of x satisfies -4(x + 6) + 52 = x + 113?", "solution_steps": ["Expand: -4x - 24 + 52 = x + 113", "Combine constants: -4x + 28 = x + 113", "Subtract x from both sides: -5x + 28 = 113", "Subtract 28 from both sides: -5x = 85", "Divide both sides by -5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 6) + 52 = x + 113", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 52, \"e\": 113, \"x\": -17}", "seed": "4213772316600817658", "semantic_fingerprint": "sha256:056b3365fcae970f6635498fd923be342bf6c8e797e97af5523643c28e07d5e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002280", "prompt": "What value of x satisfies 5x - 61 = 12x - 26?", "solution_steps": ["Subtract 12x from both sides: -7x - 61 = -26", "Add 61 to both sides: -7x = 35", "Divide both sides by -7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 61 = 12x - 26", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 61, \"c\": 12, \"e\": -26, \"x\": -5}", "seed": "12495184336483601568", "semantic_fingerprint": "sha256:418f4c179735d98e608cfde32f45860cceafdd253db424e890e044f9a05ad7a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002281", "prompt": "Evaluate: -6 * (-16 / (-14) + (-725 + 886))", "solution_steps": ["Divide: -16 / (-14) = 8/7", "Add: -725 + 886 = 161", "Add: 8/7 + 161 = 1135/7", "Multiply: -6 * (1135/7) = -6810/7"], "final_answer": "-6810/7", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-16 / (-14) + (-725 + 886))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -16, \"c\": -14, \"d\": -725, \"e\": 886}", "seed": "10544887965086411752", "semantic_fingerprint": "sha256:34fb937193174051c4f5cf292e5b7696e7056941326fa5aa34ca6836d51a8686", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002282", "prompt": "What is 62 * (9 / (-26)) * (97 * 39)?", "solution_steps": ["Divide: 9 / (-26) = -9/26", "Multiply: 62 * (-9/26) = -279/13", "Multiply: 97 * 39 = 3783", "Multiply: (-279/13) * 3783 = -81189"], "final_answer": "-81189", "answer_type": "integer", "kind": "expression", "math_text": "62 * (9 / (-26)) * (97 * 39)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 9, \"c\": -26, \"d\": 97, \"e\": 39}", "seed": "8793566572428109573", "semantic_fingerprint": "sha256:11e0c742765d112949d5460ac8b22f72591ca2136e9de95a70c302d6e08eca30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002283", "prompt": "Find x: 11(x + 6) = 7(x - 63) + 427", "solution_steps": ["Expand: 11x + 66 = 7(x - 63) + 427", "Expand: 11x + 66 = 7x - 441 + 427", "Combine constants: 11x + 66 = 7x - 14", "Subtract 7x from both sides: 4x + 66 = -14", "Subtract 66 from both sides: 4x = -80", "Divide both sides by 4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 6) = 7(x - 63) + 427", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 7, \"d\": 63, \"f\": 427, \"x\": -20}", "seed": "10679218525738828255", "semantic_fingerprint": "sha256:9401a705c8ec3dc72060f6f3d0cd8ec0c86b4fd0b44e5a92b54026ec04717e03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002284", "prompt": "Compute: -1 * (-879) + 614 * 9", "solution_steps": ["Multiply: -1 * (-879) = 879", "Multiply: 614 * 9 = 5526", "Add: 879 + 5526 = 6405"], "final_answer": "6405", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-879) + 614 * 9", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -879, \"c\": 614, \"d\": 9}", "seed": "10312274618709924164", "semantic_fingerprint": "sha256:ef5fde7740eaecc852a65d643ce60365b5f4e9ebc4f8e0dfa43b110c76bde37f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002285", "prompt": "Compute: -348 / (-71) / (-36) - (-432)", "solution_steps": ["Divide: -348 / (-71) = 348/71", "Divide: (348/71) / (-36) = -29/213", "Subtract: -29/213 - (-432) = 91987/213"], "final_answer": "91987/213", "answer_type": "rational", "kind": "expression", "math_text": "-348 / (-71) / (-36) - (-432)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -348, \"b\": -71, \"c\": -36, \"d\": -432}", "seed": "17648239629714689777", "semantic_fingerprint": "sha256:5fb808e0f9f407184bf2fa49763f2586d43c9748735768d1785563ccae8aea17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002286", "prompt": "What is (-1 + 47) / (77 / (-55) + 7)?", "solution_steps": ["Add: -1 + 47 = 46", "Divide: 77 / (-55) = -7/5", "Add: -7/5 + 7 = 28/5", "Divide: 46 / (28/5) = 115/14"], "final_answer": "115/14", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + 47) / (77 / (-55) + 7)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 47, \"c\": 77, \"d\": -55, \"e\": 7}", "seed": "17645448179298752029", "semantic_fingerprint": "sha256:ca26ee6063346f09fd1520660c9c2d8b97979c73f8f4e7ac0c8d5d1e96d577fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002287", "prompt": "Find x: 11(x + 888) + 77 = x + 30", "solution_steps": ["Expand: 11x + 9768 + 77 = x + 30", "Combine constants: 11x + 9845 = x + 30", "Subtract x from both sides: 10x + 9845 = 30", "Subtract 9845 from both sides: 10x = -9815", "Divide both sides by 10: x = -1963/2"], "final_answer": "-1963/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 888) + 77 = x + 30", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 888, \"c\": 77, \"d\": 30}", "seed": "712285690902989253", "semantic_fingerprint": "sha256:0b0b2334a087d2d413c686f6988b0ce45dba9be08c83e5178071a85380874d0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002288", "prompt": "Solve for x: 6(x + 9) + 110 = x + 114", "solution_steps": ["Expand: 6x + 54 + 110 = x + 114", "Combine constants: 6x + 164 = x + 114", "Subtract x from both sides: 5x + 164 = 114", "Subtract 164 from both sides: 5x = -50", "Divide both sides by 5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 9) + 110 = x + 114", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 110, \"e\": 114, \"x\": -10}", "seed": "14669795411858827246", "semantic_fingerprint": "sha256:3f43e91e7becf440571a45947b80b909fbde8293d03f50475beb3daf46eb10bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002289", "prompt": "Calculate: 3 + (5 + 8 + (-317) + (-1) / (-758))", "solution_steps": ["Add: 5 + 8 = 13", "Add: 13 + (-317) = -304", "Divide: -1 / (-758) = 1/758", "Add: -304 + 1/758 = -230431/758", "Add: 3 + (-230431/758) = -228157/758"], "final_answer": "-228157/758", "answer_type": "rational", "kind": "expression", "math_text": "3 + (5 + 8 + (-317) + (-1) / (-758))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ (+ n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 8, \"d\": -317, \"e\": -1, \"f\": -758}", "seed": "2873516974584602302", "semantic_fingerprint": "sha256:3116c3315930aedef3f6875957efd0821af02dd0d24abb1d739e96cc1fff340e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002290", "prompt": "Solve the equation -5x - 107 = 4(x - 2) for x.", "solution_steps": ["Expand: -5x - 107 = 4x - 8", "Subtract 4x from both sides: -9x - 107 = -8", "Add 107 to both sides: -9x = 99", "Divide both sides by -9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 107 = 4(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 2, \"e\": -107, \"x\": -11}", "seed": "1394976775960338816", "semantic_fingerprint": "sha256:4528c8412146936f1854f5200572f7729d41d876043b3f6f528e1b7a36cec9dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002291", "prompt": "Compute: 429 * 373 + (-21) * (-71)", "solution_steps": ["Multiply: 429 * 373 = 160017", "Multiply: -21 * (-71) = 1491", "Add: 160017 + 1491 = 161508"], "final_answer": "161508", "answer_type": "integer", "kind": "expression", "math_text": "429 * 373 + (-21) * (-71)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 429, \"b\": 373, \"c\": -21, \"d\": -71}", "seed": "14755572110288428121", "semantic_fingerprint": "sha256:68cdb8ca5bd22801de01fbf5991f9e540a694631df494ceb505bf8461ae982e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002292", "prompt": "What is -782 + 7 - (91 + 19 / 7)?", "solution_steps": ["Add: -782 + 7 = -775", "Divide: 19 / 7 = 19/7", "Add: 91 + 19/7 = 656/7", "Subtract: -775 - 656/7 = -6081/7"], "final_answer": "-6081/7", "answer_type": "rational", "kind": "expression", "math_text": "-782 + 7 - (91 + 19 / 7)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -782, \"b\": 7, \"c\": 91, \"d\": 19, \"e\": 7}", "seed": "16959023262728448409", "semantic_fingerprint": "sha256:90876fa29e41bbf406ce6ac4d42b9887991bfdd6c1675a8f70e56f69262c24e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002293", "prompt": "Calculate: -4 / (6 * (168 + (-83)))", "solution_steps": ["Add: 168 + (-83) = 85", "Multiply: 6 * 85 = 510", "Divide: -4 / 510 = -2/255"], "final_answer": "-2/255", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (6 * (168 + (-83)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 168, \"d\": -83}", "seed": "5935813034811739352", "semantic_fingerprint": "sha256:36e6e9f2d7173bd22ea8aa98f023e0a429f4190be04318920072746cc18eb442", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002294", "prompt": "Compute: 390 - (-466) * (-82 / (-70))", "solution_steps": ["Divide: -82 / (-70) = 41/35", "Multiply: -466 * (41/35) = -19106/35", "Subtract: 390 - (-19106/35) = 32756/35"], "final_answer": "32756/35", "answer_type": "rational", "kind": "expression", "math_text": "390 - (-466) * (-82 / (-70))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 390, \"b\": -466, \"c\": -82, \"d\": -70}", "seed": "16508370761662511537", "semantic_fingerprint": "sha256:650f40b353687286cbe2e711400cd0cb17a702e713625ae08a93312ef9d63957", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002295", "prompt": "What is -808 - (-99) * (-74 / 15)?", "solution_steps": ["Divide: -74 / 15 = -74/15", "Multiply: -99 * (-74/15) = 2442/5", "Subtract: -808 - 2442/5 = -6482/5"], "final_answer": "-6482/5", "answer_type": "rational", "kind": "expression", "math_text": "-808 - (-99) * (-74 / 15)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -808, \"b\": -99, \"c\": -74, \"d\": 15}", "seed": "1226503810208858076", "semantic_fingerprint": "sha256:fe4e3d906fd93d21ffb91eddf96c5173b64c147592eb70da825310e32886ea6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002296", "prompt": "Solve for x: 5(x + 33) = 8(x - 1) + 714", "solution_steps": ["Expand: 5x + 165 = 8(x - 1) + 714", "Expand: 5x + 165 = 8x - 8 + 714", "Combine constants: 5x + 165 = 8x + 706", "Subtract 8x from both sides: -3x + 165 = 706", "Subtract 165 from both sides: -3x = 541", "Divide both sides by -3: x = -541/3"], "final_answer": "-541/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 33) = 8(x - 1) + 714", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 33, \"c\": 8, \"d\": 1, \"e\": 714}", "seed": "15414906194052518703", "semantic_fingerprint": "sha256:82fd98ee0a2a6fb1a7ea174e8ef4d706d8cc33bdacb084c393b0452b1bdaafde", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002297", "prompt": "Compute: (75 - 69 - 21) * (-310)", "solution_steps": ["Subtract: 75 - 69 = 6", "Subtract: 6 - 21 = -15", "Multiply: -15 * (-310) = 4650"], "final_answer": "4650", "answer_type": "integer", "kind": "expression", "math_text": "(75 - 69 - 21) * (-310)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 69, \"c\": 21, \"d\": -310}", "seed": "5384988303570539900", "semantic_fingerprint": "sha256:8e8d2f60462dd8633701882adf7ca56f37882217d322d353626bbd9f427117f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002298", "prompt": "Evaluate: (32 - (68 + (-51))) * 728", "solution_steps": ["Add: 68 + (-51) = 17", "Subtract: 32 - 17 = 15", "Multiply: 15 * 728 = 10920"], "final_answer": "10920", "answer_type": "integer", "kind": "expression", "math_text": "(32 - (68 + (-51))) * 728", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 68, \"c\": -51, \"d\": 728}", "seed": "18328025222918085825", "semantic_fingerprint": "sha256:7c690604377a16b7aef93a67ad32d9aa993a0d7bd1af6421588dc1be7607a524", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002299", "prompt": "Calculate: -70 / 3 - (-14) - 30 / (-5)", "solution_steps": ["Divide: -70 / 3 = -70/3", "Subtract: -70/3 - (-14) = -28/3", "Divide: 30 / (-5) = -6", "Subtract: -28/3 - (-6) = -10/3"], "final_answer": "-10/3", "answer_type": "rational", "kind": "expression", "math_text": "-70 / 3 - (-14) - 30 / (-5)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 3, \"c\": -14, \"d\": 30, \"e\": -5}", "seed": "12519238322037130962", "semantic_fingerprint": "sha256:6da034f55275c137e430eb8d74114198ee493ee5cce9651549003844ac7022ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002300", "prompt": "Calculate: -54 / (24 - 0 + (53 - 467 + 9))", "solution_steps": ["Subtract: 24 - 0 = 24", "Subtract: 53 - 467 = -414", "Add: -414 + 9 = -405", "Add: 24 + (-405) = -381", "Divide: -54 / (-381) = 18/127"], "final_answer": "18/127", "answer_type": "rational", "kind": "expression", "math_text": "-54 / (24 - 0 + (53 - 467 + 9))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (- n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 24, \"c\": 0, \"d\": 53, \"e\": 467, \"f\": 9}", "seed": "2229485967516035734", "semantic_fingerprint": "sha256:9e397104ad4e1e24e7cb7dfc53a3f4ba5b79cda97b66d135ac8b7e124b5d77fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002301", "prompt": "Solve the equation 11(x + 17) = 3(x - 2) + 257 for x.", "solution_steps": ["Expand: 11x + 187 = 3(x - 2) + 257", "Expand: 11x + 187 = 3x - 6 + 257", "Combine constants: 11x + 187 = 3x + 251", "Subtract 3x from both sides: 8x + 187 = 251", "Subtract 187 from both sides: 8x = 64", "Divide both sides by 8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 17) = 3(x - 2) + 257", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 17, \"c\": 3, \"d\": 2, \"f\": 257, \"x\": 8}", "seed": "5633113246789385632", "semantic_fingerprint": "sha256:1315c8d5fcd618380ffbe2b5b699671523e417c463e836fe0b8e9c5fdad81e1f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002302", "prompt": "Evaluate: 85 - (-529) * 3 + 4 * (-4)", "solution_steps": ["Multiply: -529 * 3 = -1587", "Subtract: 85 - (-1587) = 1672", "Multiply: 4 * (-4) = -16", "Add: 1672 + (-16) = 1656"], "final_answer": "1656", "answer_type": "integer", "kind": "expression", "math_text": "85 - (-529) * 3 + 4 * (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -529, \"c\": 3, \"d\": 4, \"e\": -4}", "seed": "15895261363346395040", "semantic_fingerprint": "sha256:41ff25958ae871936f13f532945444b4c5878d490669473819a9eadaa280b882", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002303", "prompt": "Find x: 9(x + 76) + 29 = x + 833", "solution_steps": ["Expand: 9x + 684 + 29 = x + 833", "Combine constants: 9x + 713 = x + 833", "Subtract x from both sides: 8x + 713 = 833", "Subtract 713 from both sides: 8x = 120", "Divide both sides by 8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 76) + 29 = x + 833", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 76, \"c\": 29, \"e\": 833, \"x\": 15}", "seed": "6545909598080251870", "semantic_fingerprint": "sha256:ab82b747d011ef07c869461d25b44de8a7baa9f320a68709a333f27958e0698b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002304", "prompt": "Compute: -20 + (-34) - (-206 + 35 - (-78))", "solution_steps": ["Add: -20 + (-34) = -54", "Add: -206 + 35 = -171", "Subtract: -171 - (-78) = -93", "Subtract: -54 - (-93) = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "-20 + (-34) - (-206 + 35 - (-78))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -34, \"c\": -206, \"d\": 35, \"e\": -78}", "seed": "7519326185998235648", "semantic_fingerprint": "sha256:9d1471a083d652c20efc9f40ba524c2899dad69eeeaa2c8a71b753c6765a345a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002305", "prompt": "What value of x satisfies -12(x - 65) - 711 = x + 441?", "solution_steps": ["Expand: -12x + 780 - 711 = x + 441", "Combine constants: -12x + 69 = x + 441", "Subtract x from both sides: -13x + 69 = 441", "Subtract 69 from both sides: -13x = 372", "Divide both sides by -13: x = -372/13"], "final_answer": "-372/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 65) - 711 = x + 441", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 65, \"c\": 711, \"d\": 441}", "seed": "1626840946013970513", "semantic_fingerprint": "sha256:30b3133a0b0b2be6f6138c77b2bd6fcbd0ddba2a38226778db0cd1315aa15305", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002306", "prompt": "Solve the equation 2(x + 97) + 7 = x + 191 for x.", "solution_steps": ["Expand: 2x + 194 + 7 = x + 191", "Combine constants: 2x + 201 = x + 191", "Subtract x from both sides: x + 201 = 191", "Subtract 201 from both sides: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 97) + 7 = x + 191", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 97, \"c\": 7, \"e\": 191, \"x\": -10}", "seed": "15437809209040108447", "semantic_fingerprint": "sha256:349b9c9607e5e1c330e70bce9c93092f6c51a9f3a38f6e9d4c983a29e8f8dbc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002307", "prompt": "Find x: -4(x - 7) - 1 = x + 37", "solution_steps": ["Expand: -4x + 28 - 1 = x + 37", "Combine constants: -4x + 27 = x + 37", "Subtract x from both sides: -5x + 27 = 37", "Subtract 27 from both sides: -5x = 10", "Divide both sides by -5: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 7) - 1 = x + 37", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 1, \"e\": 37, \"x\": -2}", "seed": "18275798115411648", "semantic_fingerprint": "sha256:6fb6035ab34244eed8c92352c34588c508178797d7021458b4a837762e83b732", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002308", "prompt": "Compute: 875 - 192 - (-8) * 1 - 10 / (-500)", "solution_steps": ["Subtract: 875 - 192 = 683", "Multiply: -8 * 1 = -8", "Subtract: 683 - (-8) = 691", "Divide: 10 / (-500) = -1/50", "Subtract: 691 - (-1/50) = 34551/50"], "final_answer": "34551/50", "answer_type": "rational", "kind": "expression", "math_text": "875 - 192 - (-8) * 1 - 10 / (-500)", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 875, \"b\": 192, \"c\": -8, \"d\": 1, \"e\": 10, \"f\": -500}", "seed": "14495820698878611687", "semantic_fingerprint": "sha256:0efa41c6aa48d018c6ebca3317a61c1253feef400586748f56e0f8984794859b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002309", "prompt": "Solve the equation -11x - 1 = -6(x - 7) for x.", "solution_steps": ["Expand: -11x - 1 = -6x + 42", "Add 6x to both sides: -5x - 1 = 42", "Add 1 to both sides: -5x = 43", "Divide both sides by -5: x = -43/5"], "final_answer": "-43/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 1 = -6(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"c\": -6, \"d\": 7}", "seed": "4852041421847856725", "semantic_fingerprint": "sha256:5352b672d25ef17a624d6bf97c9ecf02838dbb63e75e5a3c72cddbc79ec8bdf9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002310", "prompt": "Solve the equation 7x - 8 = 6x - 8 for x.", "solution_steps": ["Subtract 6x from both sides: x - 8 = -8", "Add 8 to both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 8 = 6x - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 6, \"e\": -8, \"x\": 0}", "seed": "3181894929476577838", "semantic_fingerprint": "sha256:e2251cfeae91bfe84e0cee46f7326e88ec3e70409b7f6b653d448651196fe805", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002311", "prompt": "Evaluate: (14 + (-349)) / (-4 + 82)", "solution_steps": ["Add: 14 + (-349) = -335", "Add: -4 + 82 = 78", "Divide: -335 / 78 = -335/78"], "final_answer": "-335/78", "answer_type": "rational", "kind": "expression", "math_text": "(14 + (-349)) / (-4 + 82)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -349, \"c\": -4, \"d\": 82}", "seed": "3468844110438475498", "semantic_fingerprint": "sha256:d639318c84e4e576ade39e648e009c9f3d516a85892ef5ac809bd0fc38d47be1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002312", "prompt": "Solve for x: 9x - 349 = 6x - 382", "solution_steps": ["Subtract 6x from both sides: 3x - 349 = -382", "Add 349 to both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 349 = 6x - 382", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 349, \"c\": 6, \"e\": -382, \"x\": -11}", "seed": "16178752265884640482", "semantic_fingerprint": "sha256:3fef98e2bd2f34b2b7059b902b424906b7848fb6e4f78e8d476ed047e79f2933", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002313", "prompt": "Evaluate: 780 / (179 / 7 * 28 + (-7 + 68))", "solution_steps": ["Divide: 179 / 7 = 179/7", "Multiply: (179/7) * 28 = 716", "Add: -7 + 68 = 61", "Add: 716 + 61 = 777", "Divide: 780 / 777 = 260/259"], "final_answer": "260/259", "answer_type": "rational", "kind": "expression", "math_text": "780 / (179 / 7 * 28 + (-7 + 68))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (* (/ n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 780, \"b\": 179, \"c\": 7, \"d\": 28, \"e\": -7, \"f\": 68}", "seed": "16987674894331179799", "semantic_fingerprint": "sha256:d3a2af4ecc0068a1a6cb95a7b64c7d5776f1bae502433d9448ba38f4abecd47e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002314", "prompt": "What value of x satisfies 7x - 3 = 6x - 13?", "solution_steps": ["Subtract 6x from both sides: x - 3 = -13", "Add 3 to both sides: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 3 = 6x - 13", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 6, \"e\": -13, \"x\": -10}", "seed": "7786167218859656994", "semantic_fingerprint": "sha256:b76321d9bb6363fef2158211767c37ad5cc1fbaaf0fdf0528d65ceb15f0a5531", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002315", "prompt": "What value of x satisfies 2x - 40 = 8(x - 5)?", "solution_steps": ["Expand: 2x - 40 = 8x - 40", "Subtract 8x from both sides: -6x - 40 = -40", "Add 40 to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 40 = 8(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 5, \"e\": -40, \"x\": 0}", "seed": "1392971937975490418", "semantic_fingerprint": "sha256:53b619c82f441aef1322e4cf7b6ecf4bd4fe2ec3cb0e297bd1249714cdae7412", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002316", "prompt": "Evaluate: -4 / (-65 + 37) * (-2 * (-3))", "solution_steps": ["Add: -65 + 37 = -28", "Divide: -4 / (-28) = 1/7", "Multiply: -2 * (-3) = 6", "Multiply: (1/7) * 6 = 6/7"], "final_answer": "6/7", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-65 + 37) * (-2 * (-3))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -65, \"c\": 37, \"d\": -2, \"e\": -3}", "seed": "2594582224361457687", "semantic_fingerprint": "sha256:5e7eaa3651ea6a26aa641adeefab7df959c2a8cab5b7b64d5ff215633d29d7fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002317", "prompt": "What is 28 - 0 / 229 - (-79) / (-86)?", "solution_steps": ["Divide: 0 / 229 = 0", "Subtract: 28 - 0 = 28", "Divide: -79 / (-86) = 79/86", "Subtract: 28 - 79/86 = 2329/86"], "final_answer": "2329/86", "answer_type": "rational", "kind": "expression", "math_text": "28 - 0 / 229 - (-79) / (-86)", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 0, \"c\": 229, \"d\": -79, \"e\": -86}", "seed": "4334845676099734640", "semantic_fingerprint": "sha256:43efd25e50c2174e43dcd0bfd28f51acb763a4889265952bcbc466eb43a1aa4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002318", "prompt": "What value of x satisfies -3x - 2 = 11x - 128?", "solution_steps": ["Subtract 11x from both sides: -14x - 2 = -128", "Add 2 to both sides: -14x = -126", "Divide both sides by -14: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 2 = 11x - 128", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 11, \"e\": -128, \"x\": 9}", "seed": "18304239937790866739", "semantic_fingerprint": "sha256:ea7b4194a9272877f004a1451c12965d6c6a939094f2c4854ef1e5c4553e89b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002319", "prompt": "Solve for x: 3x = -10(x + 932) - 25", "solution_steps": ["Expand: 3x = -10x - 9320 - 25", "Combine constants: 3x = -10x - 9345", "Add 10x to both sides: 13x = -9345", "Divide both sides by 13: x = -9345/13"], "final_answer": "-9345/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -10(x + 932) - 25", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -10, \"c\": 932, \"d\": 25}", "seed": "9649490407603599052", "semantic_fingerprint": "sha256:d96f849cf63689043e852f0449aebdf92c507584bdd07d9a33abddda791762f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002320", "prompt": "Solve for x: 2x - 434 = 8(x - 67)", "solution_steps": ["Expand: 2x - 434 = 8x - 536", "Subtract 8x from both sides: -6x - 434 = -536", "Add 434 to both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 434 = 8(x - 67)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 67, \"e\": -434, \"x\": 17}", "seed": "9015083140169961820", "semantic_fingerprint": "sha256:e95782889262ff46a6c460d43d12cb17cbfc499038cf9dff2087b16487255ae2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002321", "prompt": "Compute: (-18 - (1 + (-2))) / (89 / 66)", "solution_steps": ["Add: 1 + (-2) = -1", "Subtract: -18 - (-1) = -17", "Divide: 89 / 66 = 89/66", "Divide: -17 / (89/66) = -1122/89"], "final_answer": "-1122/89", "answer_type": "rational", "kind": "expression", "math_text": "(-18 - (1 + (-2))) / (89 / 66)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 1, \"c\": -2, \"d\": 89, \"e\": 66}", "seed": "2622404226004472539", "semantic_fingerprint": "sha256:10d6e861015b85551b97b2052ae05584c26dca8c257a69f33d70ec2e3faef917", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002322", "prompt": "What value of x satisfies 12(x + 45) + 11 = x + 760?", "solution_steps": ["Expand: 12x + 540 + 11 = x + 760", "Combine constants: 12x + 551 = x + 760", "Subtract x from both sides: 11x + 551 = 760", "Subtract 551 from both sides: 11x = 209", "Divide both sides by 11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 45) + 11 = x + 760", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 45, \"c\": 11, \"e\": 760, \"x\": 19}", "seed": "11074210428142455541", "semantic_fingerprint": "sha256:fce25a867354d6c46e8f19277be4245e0cfa13406047a9630de4635457c6102c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002323", "prompt": "What value of x satisfies 6(x + 57) = 5(x - 19) + 449?", "solution_steps": ["Expand: 6x + 342 = 5(x - 19) + 449", "Expand: 6x + 342 = 5x - 95 + 449", "Combine constants: 6x + 342 = 5x + 354", "Subtract 5x from both sides: x + 342 = 354", "Subtract 342 from both sides: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 57) = 5(x - 19) + 449", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 57, \"c\": 5, \"d\": 19, \"f\": 449, \"x\": 12}", "seed": "17014279906535428372", "semantic_fingerprint": "sha256:2eb5acd871f6e0c3f4b28aaec2508589834b3307ad2b87080f7a85741d54ffbb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002324", "prompt": "What value of x satisfies 3(x + 374) - 722 = x + 396?", "solution_steps": ["Expand: 3x + 1122 - 722 = x + 396", "Combine constants: 3x + 400 = x + 396", "Subtract x from both sides: 2x + 400 = 396", "Subtract 400 from both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 374) - 722 = x + 396", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 374, \"c\": 722, \"e\": 396, \"x\": -2}", "seed": "6411133465911100870", "semantic_fingerprint": "sha256:890f9c86773b1038484ff4b97b6ae8869ed6041be1d0859053672940c1a01a02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002325", "prompt": "Solve the equation 3x - 76 = -3x - 112 for x.", "solution_steps": ["Add 3x to both sides: 6x - 76 = -112", "Add 76 to both sides: 6x = -36", "Divide both sides by 6: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 76 = -3x - 112", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 76, \"c\": -3, \"e\": -112, \"x\": -6}", "seed": "10858599505781540875", "semantic_fingerprint": "sha256:9210c1af9844fc67369a17ac46e6a221aacec78363805fb9c2d58eb43468f6c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002326", "prompt": "Evaluate: 3 * (-342) + 6 + (7 - (-28))", "solution_steps": ["Multiply: 3 * (-342) = -1026", "Add: -1026 + 6 = -1020", "Subtract: 7 - (-28) = 35", "Add: -1020 + 35 = -985"], "final_answer": "-985", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-342) + 6 + (7 - (-28))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -342, \"c\": 6, \"d\": 7, \"e\": -28}", "seed": "6366575617382465499", "semantic_fingerprint": "sha256:23d51239e0e867c0dab086656d6f90b84e3cb2ec4febd273e187406d52cc7784", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002327", "prompt": "Evaluate: -79 + (-43 + 83) * (32 * 38) + (-5)", "solution_steps": ["Add: -43 + 83 = 40", "Multiply: 32 * 38 = 1216", "Multiply: 40 * 1216 = 48640", "Add: -79 + 48640 = 48561", "Add: 48561 + (-5) = 48556"], "final_answer": "48556", "answer_type": "integer", "kind": "expression", "math_text": "-79 + (-43 + 83) * (32 * 38) + (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* (+ n n) (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -43, \"c\": 83, \"d\": 32, \"e\": 38, \"f\": -5}", "seed": "2033875868565032539", "semantic_fingerprint": "sha256:37e4ce420083d6212367073a5c8441e4cfe5ae58e4e450c2e2519216aaefd873", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002328", "prompt": "Compute: -981 * 3 * (14 / (-2))", "solution_steps": ["Multiply: -981 * 3 = -2943", "Divide: 14 / (-2) = -7", "Multiply: -2943 * (-7) = 20601"], "final_answer": "20601", "answer_type": "integer", "kind": "expression", "math_text": "-981 * 3 * (14 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -981, \"b\": 3, \"c\": 14, \"d\": -2}", "seed": "4000580182553423022", "semantic_fingerprint": "sha256:426c5f17ea5e110727d276a3fdf0c59e205a5144f2d6f37b8cad66aab919f9c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002329", "prompt": "Find x: 9x = 8(x + 4) + 31", "solution_steps": ["Expand: 9x = 8x + 32 + 31", "Combine constants: 9x = 8x + 63", "Subtract 8x from both sides: x = 63"], "final_answer": "63", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8(x + 4) + 31", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 4, \"d\": 31}", "seed": "8061892252757011217", "semantic_fingerprint": "sha256:2a61af9108f843c935aacb2cd9bff306b14e27151956c0b304e5bab8cf8beee2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002330", "prompt": "Find x: 4(x + 62) - 161 = x + 120", "solution_steps": ["Expand: 4x + 248 - 161 = x + 120", "Combine constants: 4x + 87 = x + 120", "Subtract x from both sides: 3x + 87 = 120", "Subtract 87 from both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 62) - 161 = x + 120", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 62, \"c\": 161, \"d\": 120}", "seed": "8467816693498182369", "semantic_fingerprint": "sha256:a4fc566d40d22424e6c52ab7aecff391453b345efdf1429e9330a1d350da30c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002331", "prompt": "Calculate: -6 / (-35) * (-3 / 1)", "solution_steps": ["Divide: -6 / (-35) = 6/35", "Divide: -3 / 1 = -3", "Multiply: (6/35) * (-3) = -18/35"], "final_answer": "-18/35", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-35) * (-3 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -35, \"c\": -3, \"d\": 1}", "seed": "17052797986194414949", "semantic_fingerprint": "sha256:6c5bfc350030f3a87eebdd8e8f0250c091c53a81d517a5f719dce9ce567b4954", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002332", "prompt": "What value of x satisfies 9x = 4(x + 6) - 34?", "solution_steps": ["Expand: 9x = 4x + 24 - 34", "Combine constants: 9x = 4x - 10", "Subtract 4x from both sides: 5x = -10", "Divide both sides by 5: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 4(x + 6) - 34", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 6, \"e\": -34, \"x\": -2}", "seed": "5077935104006766757", "semantic_fingerprint": "sha256:98e2b683d630fe95aca1ad32f8ec9b3c2240ff0750b58bc5ec1c2425a030a82b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002333", "prompt": "Compute: -54 / (-1) - 503 * (63 + (-4))", "solution_steps": ["Divide: -54 / (-1) = 54", "Add: 63 + (-4) = 59", "Multiply: 503 * 59 = 29677", "Subtract: 54 - 29677 = -29623"], "final_answer": "-29623", "answer_type": "integer", "kind": "expression", "math_text": "-54 / (-1) - 503 * (63 + (-4))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -1, \"c\": 503, \"d\": 63, \"e\": -4}", "seed": "17015574003941182590", "semantic_fingerprint": "sha256:090b4f6927cf2a858b744442e42e93c14db2b7e2e27645f53ecca3800e9f1b97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002334", "prompt": "Solve for x: -3x - 1 = -10x - 106", "solution_steps": ["Add 10x to both sides: 7x - 1 = -106", "Add 1 to both sides: 7x = -105", "Divide both sides by 7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 1 = -10x - 106", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": -10, \"e\": -106, \"x\": -15}", "seed": "9921317286800528059", "semantic_fingerprint": "sha256:1c7a9f5f144a4673f62e24da5bdaf4e60b12f51dc15ebba155f94826b4390aa8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002335", "prompt": "Find x: 9(x + 69) - 9 = x + 740", "solution_steps": ["Expand: 9x + 621 - 9 = x + 740", "Combine constants: 9x + 612 = x + 740", "Subtract x from both sides: 8x + 612 = 740", "Subtract 612 from both sides: 8x = 128", "Divide both sides by 8: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 69) - 9 = x + 740", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 69, \"c\": 9, \"e\": 740, \"x\": 16}", "seed": "2562429800092983719", "semantic_fingerprint": "sha256:1975669fb45f4db48939583fcc6460c79cfc0afec9c417c6864defc5e5c8c2f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002336", "prompt": "Find x: 3x - 83 = 10x - 55", "solution_steps": ["Subtract 10x from both sides: -7x - 83 = -55", "Add 83 to both sides: -7x = 28", "Divide both sides by -7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 83 = 10x - 55", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 83, \"c\": 10, \"e\": -55, \"x\": -4}", "seed": "13766048045707707242", "semantic_fingerprint": "sha256:c6c9f4b7d18bab24fd05e831434c067eb4e32d058e14f098ab26d3416b2eb834", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002337", "prompt": "Solve for x: -3(x + 1) + 1 = x + 50", "solution_steps": ["Expand: -3x - 3 + 1 = x + 50", "Combine constants: -3x - 2 = x + 50", "Subtract x from both sides: -4x - 2 = 50", "Add 2 to both sides: -4x = 52", "Divide both sides by -4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 1) + 1 = x + 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 1, \"d\": 50}", "seed": "8380577405547773239", "semantic_fingerprint": "sha256:154f9c61ca805b41b029e67ab02674ec7eabe3bedcb8bff2ce118e906384d7fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002338", "prompt": "Calculate: (-3 * 550 - (-791)) * ((8 + (-771)) / 739)", "solution_steps": ["Multiply: -3 * 550 = -1650", "Subtract: -1650 - (-791) = -859", "Add: 8 + (-771) = -763", "Divide: -763 / 739 = -763/739", "Multiply: -859 * (-763/739) = 655417/739"], "final_answer": "655417/739", "answer_type": "rational", "kind": "expression", "math_text": "(-3 * 550 - (-791)) * ((8 + (-771)) / 739)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 550, \"c\": -791, \"d\": 8, \"e\": -771, \"f\": 739}", "seed": "6764983667462139933", "semantic_fingerprint": "sha256:5fb4ccf7d77e95b1359cb2b64f8aaa540a39c19c67ea49b095671a9db78e0568", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002339", "prompt": "What is (25 / (-7) - 62) * (-8)?", "solution_steps": ["Divide: 25 / (-7) = -25/7", "Subtract: -25/7 - 62 = -459/7", "Multiply: (-459/7) * (-8) = 3672/7"], "final_answer": "3672/7", "answer_type": "rational", "kind": "expression", "math_text": "(25 / (-7) - 62) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -7, \"c\": 62, \"d\": -8}", "seed": "3452679267100449321", "semantic_fingerprint": "sha256:f4d83686b43016766fcd0d317a7b229080f9f7a42f2a10486b9c252739120c65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002340", "prompt": "What value of x satisfies -4x - 175 = 3x - 189?", "solution_steps": ["Subtract 3x from both sides: -7x - 175 = -189", "Add 175 to both sides: -7x = -14", "Divide both sides by -7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 175 = 3x - 189", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 175, \"c\": 3, \"e\": -189, \"x\": 2}", "seed": "4684682589622126698", "semantic_fingerprint": "sha256:11e3b13302436710d134067ef09d976576dd3bdec1ee94ff4f2b21bdc0d16a55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002341", "prompt": "Compute: -90 * (24 * (-84 + 49)) - (-52) + (-99)", "solution_steps": ["Add: -84 + 49 = -35", "Multiply: 24 * (-35) = -840", "Multiply: -90 * (-840) = 75600", "Subtract: 75600 - (-52) = 75652", "Add: 75652 + (-99) = 75553"], "final_answer": "75553", "answer_type": "integer", "kind": "expression", "math_text": "-90 * (24 * (-84 + 49)) - (-52) + (-99)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (* n (+ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 24, \"c\": -84, \"d\": 49, \"e\": -52, \"f\": -99}", "seed": "3888205335788564837", "semantic_fingerprint": "sha256:41717b0e92dbecbcddf097366714d4045a7e3b6b472f29a55c89669507a24057", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002342", "prompt": "Compute: (11 - (-25 - (-76))) * (-92 + 736)", "solution_steps": ["Subtract: -25 - (-76) = 51", "Subtract: 11 - 51 = -40", "Add: -92 + 736 = 644", "Multiply: -40 * 644 = -25760"], "final_answer": "-25760", "answer_type": "integer", "kind": "expression", "math_text": "(11 - (-25 - (-76))) * (-92 + 736)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -25, \"c\": -76, \"d\": -92, \"e\": 736}", "seed": "11215505054857879057", "semantic_fingerprint": "sha256:cf99492c1a37f2a4d67840f7a28f2a5107561678db672f7a21cccb662c92f14c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002343", "prompt": "What value of x satisfies 11(x + 8) - 58 = x + 90?", "solution_steps": ["Expand: 11x + 88 - 58 = x + 90", "Combine constants: 11x + 30 = x + 90", "Subtract x from both sides: 10x + 30 = 90", "Subtract 30 from both sides: 10x = 60", "Divide both sides by 10: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 8) - 58 = x + 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 58, \"e\": 90, \"x\": 6}", "seed": "5332185384706150811", "semantic_fingerprint": "sha256:e6f51cb2a5141d6b8b914f5bf66807af46d81ce11e6d1d5e2e6297cfed6b734c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002344", "prompt": "Compute: 950 + (402 - 448) + (-3)", "solution_steps": ["Subtract: 402 - 448 = -46", "Add: 950 + (-46) = 904", "Add: 904 + (-3) = 901"], "final_answer": "901", "answer_type": "integer", "kind": "expression", "math_text": "950 + (402 - 448) + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 950, \"b\": 402, \"c\": 448, \"d\": -3}", "seed": "15705221849743013316", "semantic_fingerprint": "sha256:452582e09a9bbc71162378165d887625e5e7329216bce5db4fed7c8ab1a04b7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002345", "prompt": "Solve the equation 3(x + 80) + 51 = x + 313 for x.", "solution_steps": ["Expand: 3x + 240 + 51 = x + 313", "Combine constants: 3x + 291 = x + 313", "Subtract x from both sides: 2x + 291 = 313", "Subtract 291 from both sides: 2x = 22", "Divide both sides by 2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 80) + 51 = x + 313", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 80, \"c\": 51, \"e\": 313, \"x\": 11}", "seed": "1710023326840241685", "semantic_fingerprint": "sha256:edfd77c4717e0d64d03824291e5386ed376bde45c97833cf4b2e2d1228acf9f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002346", "prompt": "Evaluate: (0 - 5 * (-179)) / (-6)", "solution_steps": ["Multiply: 5 * (-179) = -895", "Subtract: 0 - (-895) = 895", "Divide: 895 / (-6) = -895/6"], "final_answer": "-895/6", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 5 * (-179)) / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": -179, \"d\": -6}", "seed": "2008258807554404752", "semantic_fingerprint": "sha256:e5816fb3ff0d26534be1b4183f94311fbe4d61fd2aa9b6cbc73198b4b97615d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002347", "prompt": "Solve the equation -3x = -2(x + 320) + 749 for x.", "solution_steps": ["Expand: -3x = -2x - 640 + 749", "Combine constants: -3x = -2x + 109", "Add 2x to both sides: -x = 109", "Divide both sides by -1: x = -109"], "final_answer": "-109", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = -2(x + 320) + 749", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -2, \"c\": 320, \"d\": 749}", "seed": "7917819016544310569", "semantic_fingerprint": "sha256:0ca4586fdecc2f6a8398c5b12784a50445139a676f21fdc6b988d2c5307638c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002348", "prompt": "Calculate: 3 + (-7) + (7 + (0 + 9))", "solution_steps": ["Add: 3 + (-7) = -4", "Add: 0 + 9 = 9", "Add: 7 + 9 = 16", "Add: -4 + 16 = 12"], "final_answer": "12", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-7) + (7 + (0 + 9))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 7, \"d\": 0, \"e\": 9}", "seed": "13099790281730440361", "semantic_fingerprint": "sha256:c431e5fcb7b6c3bcb1d54056ffd8006bc99c4c72a6316874d29480fe698016b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002349", "prompt": "Compute: 83 * 374 + (-370 + 305) * (-64) - 25", "solution_steps": ["Multiply: 83 * 374 = 31042", "Add: -370 + 305 = -65", "Multiply: -65 * (-64) = 4160", "Add: 31042 + 4160 = 35202", "Subtract: 35202 - 25 = 35177"], "final_answer": "35177", "answer_type": "integer", "kind": "expression", "math_text": "83 * 374 + (-370 + 305) * (-64) - 25", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) (* (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 374, \"c\": -370, \"d\": 305, \"e\": -64, \"f\": 25}", "seed": "13724733009208854740", "semantic_fingerprint": "sha256:1f38e749261b4163471caa0b57c4dedc7d9366d1ce9ba22dfd35102d9770744f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002350", "prompt": "Solve the equation 10x - 238 = 4(x - 49) for x.", "solution_steps": ["Expand: 10x - 238 = 4x - 196", "Subtract 4x from both sides: 6x - 238 = -196", "Add 238 to both sides: 6x = 42", "Divide both sides by 6: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 238 = 4(x - 49)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 49, \"e\": -238, \"x\": 7}", "seed": "396437173823621499", "semantic_fingerprint": "sha256:ff88d0e924b62cbf28da1558bd4e5f7aa970ef7c0e93965cea4d69737d6d5018", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002351", "prompt": "Compute: (-953 + 721) / (955 + (-4))", "solution_steps": ["Add: -953 + 721 = -232", "Add: 955 + (-4) = 951", "Divide: -232 / 951 = -232/951"], "final_answer": "-232/951", "answer_type": "rational", "kind": "expression", "math_text": "(-953 + 721) / (955 + (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -953, \"b\": 721, \"c\": 955, \"d\": -4}", "seed": "14785849721395391112", "semantic_fingerprint": "sha256:b4bb242e7fbcb73de3c18c5537c385959bcbddbbfbb6daf394490f9f75101d42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002352", "prompt": "Compute: -64 + (-2) * (-23 / (-8)) / (4 * (-45))", "solution_steps": ["Divide: -23 / (-8) = 23/8", "Multiply: -2 * (23/8) = -23/4", "Multiply: 4 * (-45) = -180", "Divide: (-23/4) / (-180) = 23/720", "Add: -64 + 23/720 = -46057/720"], "final_answer": "-46057/720", "answer_type": "rational", "kind": "expression", "math_text": "-64 + (-2) * (-23 / (-8)) / (4 * (-45))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (* n (/ n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -2, \"c\": -23, \"d\": -8, \"e\": 4, \"f\": -45}", "seed": "8117849911394439221", "semantic_fingerprint": "sha256:4d00d34fbe38986604891ee3fabcca9e98c5a9920c5fcbb43b641668c879910c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002353", "prompt": "What is (-68 + (-13) - (-3 - (-9))) * (17 + (-3))?", "solution_steps": ["Add: -68 + (-13) = -81", "Subtract: -3 - (-9) = 6", "Subtract: -81 - 6 = -87", "Add: 17 + (-3) = 14", "Multiply: -87 * 14 = -1218"], "final_answer": "-1218", "answer_type": "integer", "kind": "expression", "math_text": "(-68 + (-13) - (-3 - (-9))) * (17 + (-3))", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -13, \"c\": -3, \"d\": -9, \"e\": 17, \"f\": -3}", "seed": "17432376437867498188", "semantic_fingerprint": "sha256:888e7e1871287e2ee56f6b1045a278a1605e3dd8a5b522b092e01ecb008d43f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002354", "prompt": "Evaluate: (1 + 89) / (-962) + (-1)", "solution_steps": ["Add: 1 + 89 = 90", "Divide: 90 / (-962) = -45/481", "Add: -45/481 + (-1) = -526/481"], "final_answer": "-526/481", "answer_type": "rational", "kind": "expression", "math_text": "(1 + 89) / (-962) + (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 89, \"c\": -962, \"d\": -1}", "seed": "7186160484900809012", "semantic_fingerprint": "sha256:bf2bc8b8d66c312af006537fc375566330676b8228f968f4d123cb42ebd81c15", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002355", "prompt": "Calculate: (-894 - (-9 - (-170)) + 6) * (-7)", "solution_steps": ["Subtract: -9 - (-170) = 161", "Subtract: -894 - 161 = -1055", "Add: -1055 + 6 = -1049", "Multiply: -1049 * (-7) = 7343"], "final_answer": "7343", "answer_type": "integer", "kind": "expression", "math_text": "(-894 - (-9 - (-170)) + 6) * (-7)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -894, \"b\": -9, \"c\": -170, \"d\": 6, \"e\": -7}", "seed": "3777916838630156506", "semantic_fingerprint": "sha256:bff76d6161e329de6404af1fce2b77ce422226eef9829b8840ccf381e3cbcbe5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002356", "prompt": "Solve the equation 3(x + 1) - 7 = x + 4 for x.", "solution_steps": ["Expand: 3x + 3 - 7 = x + 4", "Combine constants: 3x - 4 = x + 4", "Subtract x from both sides: 2x - 4 = 4", "Add 4 to both sides: 2x = 8", "Divide both sides by 2: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 1) - 7 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 7, \"e\": 4, \"x\": 4}", "seed": "11979373529643605161", "semantic_fingerprint": "sha256:0093d36439cea20e562f4105b5ec5089c6b35ba84177c27fd3775e49976234d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002357", "prompt": "Solve for x: -6x - 228 = 4(x - 7)", "solution_steps": ["Expand: -6x - 228 = 4x - 28", "Subtract 4x from both sides: -10x - 228 = -28", "Add 228 to both sides: -10x = 200", "Divide both sides by -10: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 228 = 4(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 7, \"e\": -228, \"x\": -20}", "seed": "17963774635482029234", "semantic_fingerprint": "sha256:0267b820b9707599abed3030eaba732b413a99bad8a924e67aae74e45d241b34", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002358", "prompt": "Solve the equation 12x - 224 = 7(x - 32) for x.", "solution_steps": ["Expand: 12x - 224 = 7x - 224", "Subtract 7x from both sides: 5x - 224 = -224", "Add 224 to both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 224 = 7(x - 32)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 32, \"e\": -224, \"x\": 0}", "seed": "16744552933082200284", "semantic_fingerprint": "sha256:6440bfe21e502ef079d3d2fd2e1a8084dedf07ee661c5ca5d1ce01a9813a5344", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002359", "prompt": "Solve the equation -9(x + 9) - 375 = x + 38 for x.", "solution_steps": ["Expand: -9x - 81 - 375 = x + 38", "Combine constants: -9x - 456 = x + 38", "Subtract x from both sides: -10x - 456 = 38", "Add 456 to both sides: -10x = 494", "Divide both sides by -10: x = -247/5"], "final_answer": "-247/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 9) - 375 = x + 38", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 375, \"d\": 38}", "seed": "15138103554860923684", "semantic_fingerprint": "sha256:dfb16c1d28e359a5d521be69ca30f006a011fbf17ae5b9e138cef9c2ce7fe903", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002360", "prompt": "Compute: -61 / 6 * (24 - (-7) - (-169))", "solution_steps": ["Divide: -61 / 6 = -61/6", "Subtract: 24 - (-7) = 31", "Subtract: 31 - (-169) = 200", "Multiply: (-61/6) * 200 = -6100/3"], "final_answer": "-6100/3", "answer_type": "rational", "kind": "expression", "math_text": "-61 / 6 * (24 - (-7) - (-169))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 6, \"c\": 24, \"d\": -7, \"e\": -169}", "seed": "13387159473212112436", "semantic_fingerprint": "sha256:f0e7b55be6d371defded2b9e31431dfeb4a5d5b239155af65972e069463e59a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002361", "prompt": "Find x: 10(x + 2) - 4 = x + 187", "solution_steps": ["Expand: 10x + 20 - 4 = x + 187", "Combine constants: 10x + 16 = x + 187", "Subtract x from both sides: 9x + 16 = 187", "Subtract 16 from both sides: 9x = 171", "Divide both sides by 9: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) - 4 = x + 187", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 4, \"e\": 187, \"x\": 19}", "seed": "8586649040919867886", "semantic_fingerprint": "sha256:00e77a69652a51a9266381226267f66f45004065ad3645be8b10958098d953d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002362", "prompt": "Calculate: -12 - 599 / 807 - (-6)", "solution_steps": ["Divide: 599 / 807 = 599/807", "Subtract: -12 - 599/807 = -10283/807", "Subtract: -10283/807 - (-6) = -5441/807"], "final_answer": "-5441/807", "answer_type": "rational", "kind": "expression", "math_text": "-12 - 599 / 807 - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 599, \"c\": 807, \"d\": -6}", "seed": "6419312485308994979", "semantic_fingerprint": "sha256:9c2dd4e216fd68953404b7ae96f9f62a74ff49ad8622588f21ee29f40e67f7e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002363", "prompt": "Solve for x: 3(x + 32) + 4 = x + 64", "solution_steps": ["Expand: 3x + 96 + 4 = x + 64", "Combine constants: 3x + 100 = x + 64", "Subtract x from both sides: 2x + 100 = 64", "Subtract 100 from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 32) + 4 = x + 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 32, \"c\": 4, \"e\": 64, \"x\": -18}", "seed": "5663977456174026731", "semantic_fingerprint": "sha256:99dae2973fdfbe735d00228ad77d60b9c086f7acb42aae998174db44dd2bc397", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002364", "prompt": "What is 2 * 6 + (300 - 33)?", "solution_steps": ["Multiply: 2 * 6 = 12", "Subtract: 300 - 33 = 267", "Add: 12 + 267 = 279"], "final_answer": "279", "answer_type": "integer", "kind": "expression", "math_text": "2 * 6 + (300 - 33)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 300, \"d\": 33}", "seed": "7130813191812559135", "semantic_fingerprint": "sha256:3f121971e593e02928ccbdb2c90fc4f9ca86954cb04f088abfc0d8f7327eb11c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002365", "prompt": "Calculate: (63 + 8 - (-22)) / ((-39 + 58) * (-50))", "solution_steps": ["Add: 63 + 8 = 71", "Subtract: 71 - (-22) = 93", "Add: -39 + 58 = 19", "Multiply: 19 * (-50) = -950", "Divide: 93 / (-950) = -93/950"], "final_answer": "-93/950", "answer_type": "rational", "kind": "expression", "math_text": "(63 + 8 - (-22)) / ((-39 + 58) * (-50))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 8, \"c\": -22, \"d\": -39, \"e\": 58, \"f\": -50}", "seed": "17117371104234791708", "semantic_fingerprint": "sha256:c3fc09894325d1c3b4fde1ee189392459e7bff420e716489a4ddb04c1bbd00d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002366", "prompt": "Calculate: 32 / (-6 * (-489 + 42))", "solution_steps": ["Add: -489 + 42 = -447", "Multiply: -6 * (-447) = 2682", "Divide: 32 / 2682 = 16/1341"], "final_answer": "16/1341", "answer_type": "rational", "kind": "expression", "math_text": "32 / (-6 * (-489 + 42))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -6, \"c\": -489, \"d\": 42}", "seed": "10984270957324369431", "semantic_fingerprint": "sha256:dbccc78647e6173d31020e5e27b76137a970ad7e58504728b218777bd812c3ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002367", "prompt": "What is -1 + 22 - (-4 - (3 - 7 / (-66)))?", "solution_steps": ["Add: -1 + 22 = 21", "Divide: 7 / (-66) = -7/66", "Subtract: 3 - (-7/66) = 205/66", "Subtract: -4 - 205/66 = -469/66", "Subtract: 21 - (-469/66) = 1855/66"], "final_answer": "1855/66", "answer_type": "rational", "kind": "expression", "math_text": "-1 + 22 - (-4 - (3 - 7 / (-66)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 22, \"c\": -4, \"d\": 3, \"e\": 7, \"f\": -66}", "seed": "11592577017449099297", "semantic_fingerprint": "sha256:7d74a7731589b515e1bc96c5aa6134b755964b4bb73346cc7cae6b6c4515e2c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002368", "prompt": "Evaluate: (-5 + (164 + 5 - (-36))) / (-90)", "solution_steps": ["Add: 164 + 5 = 169", "Subtract: 169 - (-36) = 205", "Add: -5 + 205 = 200", "Divide: 200 / (-90) = -20/9"], "final_answer": "-20/9", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (164 + 5 - (-36))) / (-90)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 164, \"c\": 5, \"d\": -36, \"e\": -90}", "seed": "6474096228418639217", "semantic_fingerprint": "sha256:29e9bc92ef7fd62abd3eefafe9ea03d0ce591e24a03156df754f0fcb30911739", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002369", "prompt": "Calculate: (-7 - 1) * (8 - (83 + (-6)))", "solution_steps": ["Subtract: -7 - 1 = -8", "Add: 83 + (-6) = 77", "Subtract: 8 - 77 = -69", "Multiply: -8 * (-69) = 552"], "final_answer": "552", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - 1) * (8 - (83 + (-6)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 8, \"d\": 83, \"e\": -6}", "seed": "3171475389515846727", "semantic_fingerprint": "sha256:f0a70427343c86fbbac0f5973220aa103cc5be4972d2934080f4290bf465d7e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002370", "prompt": "What is -381 - (-598 + (-7)) / (-596)?", "solution_steps": ["Add: -598 + (-7) = -605", "Divide: -605 / (-596) = 605/596", "Subtract: -381 - 605/596 = -227681/596"], "final_answer": "-227681/596", "answer_type": "rational", "kind": "expression", "math_text": "-381 - (-598 + (-7)) / (-596)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -381, \"b\": -598, \"c\": -7, \"d\": -596}", "seed": "2860313354569760705", "semantic_fingerprint": "sha256:badec9307db8c6b4b5846497ab9f46450f628403bef44ed57a2e6311de7c9d4b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002371", "prompt": "Calculate: (757 + (-9)) / (-15 + (-3))", "solution_steps": ["Add: 757 + (-9) = 748", "Add: -15 + (-3) = -18", "Divide: 748 / (-18) = -374/9"], "final_answer": "-374/9", "answer_type": "rational", "kind": "expression", "math_text": "(757 + (-9)) / (-15 + (-3))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 757, \"b\": -9, \"c\": -15, \"d\": -3}", "seed": "9811139040355534139", "semantic_fingerprint": "sha256:40900728811ba2cbe653356204f59893e412a00489793b3112d56a396ebd7d91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002372", "prompt": "Solve for x: 8x - 48 = 10x - 46", "solution_steps": ["Subtract 10x from both sides: -2x - 48 = -46", "Add 48 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 48 = 10x - 46", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 48, \"c\": 10, \"e\": -46, \"x\": -1}", "seed": "15946321430177641032", "semantic_fingerprint": "sha256:e1778312f2499e083c1d09a844996ca57e8cc4f1cf063f0928f7b46fbc3b5d15", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002373", "prompt": "Compute: 0 * 6 * (1 / (9 - 353))", "solution_steps": ["Multiply: 0 * 6 = 0", "Subtract: 9 - 353 = -344", "Divide: 1 / (-344) = -1/344", "Multiply: 0 * (-1/344) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 6 * (1 / (9 - 353))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": 1, \"d\": 9, \"e\": 353}", "seed": "17103616706432815528", "semantic_fingerprint": "sha256:f8804dbc02fc719df33d7bc8853d1058e5afa84324f49bdaa3cb648372702e86", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002374", "prompt": "Find x: 12x - 618 = 5x - 667", "solution_steps": ["Subtract 5x from both sides: 7x - 618 = -667", "Add 618 to both sides: 7x = -49", "Divide both sides by 7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 618 = 5x - 667", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 618, \"c\": 5, \"e\": -667, \"x\": -7}", "seed": "61049499143024667", "semantic_fingerprint": "sha256:90b948d813376a6dfac0e5d2cfbf75481fa4c8cf1cb8ec2d762cc576e50808e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002375", "prompt": "Calculate: -379 - (-89) + (0 * 36 - (-2 - 3))", "solution_steps": ["Subtract: -379 - (-89) = -290", "Multiply: 0 * 36 = 0", "Subtract: -2 - 3 = -5", "Subtract: 0 - (-5) = 5", "Add: -290 + 5 = -285"], "final_answer": "-285", "answer_type": "integer", "kind": "expression", "math_text": "-379 - (-89) + (0 * 36 - (-2 - 3))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -379, \"b\": -89, \"c\": 0, \"d\": 36, \"e\": -2, \"f\": 3}", "seed": "17335609225240366007", "semantic_fingerprint": "sha256:0a42628887024b372bcfdcaafca415db51e7389133bf37ddff082e7053773883", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002376", "prompt": "Calculate: 4 * 0 + (18 - (-3))", "solution_steps": ["Multiply: 4 * 0 = 0", "Subtract: 18 - (-3) = 21", "Add: 0 + 21 = 21"], "final_answer": "21", "answer_type": "integer", "kind": "expression", "math_text": "4 * 0 + (18 - (-3))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": 18, \"d\": -3}", "seed": "2087306172526050547", "semantic_fingerprint": "sha256:1396490c0c96e49a4f71affac0e6e646918ce7e7d698535c2b95e73df9ec4e93", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002377", "prompt": "Calculate: 358 * 469 + 29 + 8", "solution_steps": ["Multiply: 358 * 469 = 167902", "Add: 167902 + 29 = 167931", "Add: 167931 + 8 = 167939"], "final_answer": "167939", "answer_type": "integer", "kind": "expression", "math_text": "358 * 469 + 29 + 8", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 358, \"b\": 469, \"c\": 29, \"d\": 8}", "seed": "4691078355172683173", "semantic_fingerprint": "sha256:679fb007dd891b821999bf2cad4f2d470fad6b08588a6183eba3fa23a07caac4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002378", "prompt": "Compute: (-189 + 335) * (-34 - 24) / (-10 * 1)", "solution_steps": ["Add: -189 + 335 = 146", "Subtract: -34 - 24 = -58", "Multiply: 146 * (-58) = -8468", "Multiply: -10 * 1 = -10", "Divide: -8468 / (-10) = 4234/5"], "final_answer": "4234/5", "answer_type": "rational", "kind": "expression", "math_text": "(-189 + 335) * (-34 - 24) / (-10 * 1)", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -189, \"b\": 335, \"c\": -34, \"d\": 24, \"e\": -10, \"f\": 1}", "seed": "404706581906536964", "semantic_fingerprint": "sha256:aa87ef87fd4b7843afa5af87cf0773709f36f92de3cfba5b770d50d436e377f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002379", "prompt": "What value of x satisfies 2(x + 2) + 36 = x + 40?", "solution_steps": ["Expand: 2x + 4 + 36 = x + 40", "Combine constants: 2x + 40 = x + 40", "Subtract x from both sides: x + 40 = 40", "Subtract 40 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) + 36 = x + 40", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 36, \"e\": 40, \"x\": 0}", "seed": "2361819249045542312", "semantic_fingerprint": "sha256:42fafa70986abd7c7d7be68cbc0a5c3d78a6c8f08da9421560a85013d1c614a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002380", "prompt": "Solve for x: 8x - 210 = 2(x - 84)", "solution_steps": ["Expand: 8x - 210 = 2x - 168", "Subtract 2x from both sides: 6x - 210 = -168", "Add 210 to both sides: 6x = 42", "Divide both sides by 6: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 210 = 2(x - 84)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 84, \"e\": -210, \"x\": 7}", "seed": "7821692745127847102", "semantic_fingerprint": "sha256:2fbd2f7cdf21b9f81cb9d433293d0279a0bc4d4e80101b0bab283240684e9386", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002381", "prompt": "What is -78 / (-5 * 360 * (-1 - 16))?", "solution_steps": ["Multiply: -5 * 360 = -1800", "Subtract: -1 - 16 = -17", "Multiply: -1800 * (-17) = 30600", "Divide: -78 / 30600 = -13/5100"], "final_answer": "-13/5100", "answer_type": "rational", "kind": "expression", "math_text": "-78 / (-5 * 360 * (-1 - 16))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -5, \"c\": 360, \"d\": -1, \"e\": 16}", "seed": "9875682099865603634", "semantic_fingerprint": "sha256:5e6357b9278fb7982cd36671b78fa02bc27e28ce10005c88aed4ebdc2a4076d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002382", "prompt": "Evaluate: -91 - (-497) / 8 - 206", "solution_steps": ["Divide: -497 / 8 = -497/8", "Subtract: -91 - (-497/8) = -231/8", "Subtract: -231/8 - 206 = -1879/8"], "final_answer": "-1879/8", "answer_type": "rational", "kind": "expression", "math_text": "-91 - (-497) / 8 - 206", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -497, \"c\": 8, \"d\": 206}", "seed": "668104558060810786", "semantic_fingerprint": "sha256:678490c4997a64f97ab26da833eee64a0745e202fac4b342bda74d403acd8f01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002383", "prompt": "Calculate: (-9 - 27 * (-542)) / (8 / (56 - (-9)))", "solution_steps": ["Multiply: 27 * (-542) = -14634", "Subtract: -9 - (-14634) = 14625", "Subtract: 56 - (-9) = 65", "Divide: 8 / 65 = 8/65", "Divide: 14625 / (8/65) = 950625/8"], "final_answer": "950625/8", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - 27 * (-542)) / (8 / (56 - (-9)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 27, \"c\": -542, \"d\": 8, \"e\": 56, \"f\": -9}", "seed": "16916242037824410937", "semantic_fingerprint": "sha256:369722f03bbcf1bd678dfcbfd2c992cc7183ecfbc41aae97b220fdfc78b54156", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002384", "prompt": "What is 45 - 0 - (-1 - (-980) - (-67))?", "solution_steps": ["Subtract: 45 - 0 = 45", "Subtract: -1 - (-980) = 979", "Subtract: 979 - (-67) = 1046", "Subtract: 45 - 1046 = -1001"], "final_answer": "-1001", "answer_type": "integer", "kind": "expression", "math_text": "45 - 0 - (-1 - (-980) - (-67))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 0, \"c\": -1, \"d\": -980, \"e\": -67}", "seed": "17214652142708473269", "semantic_fingerprint": "sha256:8d26d72d3abc56a92186eb0a617c1dde52d6b893bc3cac285d8ffc2cd913e13d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002385", "prompt": "Find x: 10x - 768 = 11(x - 71)", "solution_steps": ["Expand: 10x - 768 = 11x - 781", "Subtract 11x from both sides: -x - 768 = -781", "Add 768 to both sides: -x = -13", "Divide both sides by -1: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 768 = 11(x - 71)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 11, \"c\": 71, \"e\": -768, \"x\": 13}", "seed": "15843348499950280304", "semantic_fingerprint": "sha256:6ebefdf4147ba58106c34f9776599f8e11bedcbb5778746164a25d44cc03aad0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002386", "prompt": "Evaluate: (-104 + 9) / 12 + (-6 / 610 - (-9))", "solution_steps": ["Add: -104 + 9 = -95", "Divide: -95 / 12 = -95/12", "Divide: -6 / 610 = -3/305", "Subtract: -3/305 - (-9) = 2742/305", "Add: -95/12 + 2742/305 = 3929/3660"], "final_answer": "3929/3660", "answer_type": "rational", "kind": "expression", "math_text": "(-104 + 9) / 12 + (-6 / 610 - (-9))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -104, \"b\": 9, \"c\": 12, \"d\": -6, \"e\": 610, \"f\": -9}", "seed": "807074480780923873", "semantic_fingerprint": "sha256:c204171f1b9001760dcb1c5ab9c7b0c29f302afaa02960a78d34974398559cf6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002387", "prompt": "Compute: -286 / (-9) - 340 - 790 * 69", "solution_steps": ["Divide: -286 / (-9) = 286/9", "Subtract: 286/9 - 340 = -2774/9", "Multiply: 790 * 69 = 54510", "Subtract: -2774/9 - 54510 = -493364/9"], "final_answer": "-493364/9", "answer_type": "rational", "kind": "expression", "math_text": "-286 / (-9) - 340 - 790 * 69", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -286, \"b\": -9, \"c\": 340, \"d\": 790, \"e\": 69}", "seed": "15271148566129864051", "semantic_fingerprint": "sha256:c8ed57bf6043abb8f7b4d0e1a62b4b23c1a9a5db87f809d579299aad94786c57", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002388", "prompt": "Solve the equation -3x = 3(x + 21) - 117 for x.", "solution_steps": ["Expand: -3x = 3x + 63 - 117", "Combine constants: -3x = 3x - 54", "Subtract 3x from both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = 3(x + 21) - 117", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 21, \"e\": -117, \"x\": 9}", "seed": "15252259024952908067", "semantic_fingerprint": "sha256:f07eb605eaa2d0fa2d56bb0c53c6cdabd38e19ab0838a37e50bd3b53805997f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002389", "prompt": "Compute: 858 * 5 + 237 * (-103)", "solution_steps": ["Multiply: 858 * 5 = 4290", "Multiply: 237 * (-103) = -24411", "Add: 4290 + (-24411) = -20121"], "final_answer": "-20121", "answer_type": "integer", "kind": "expression", "math_text": "858 * 5 + 237 * (-103)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 858, \"b\": 5, \"c\": 237, \"d\": -103}", "seed": "3427538826327642957", "semantic_fingerprint": "sha256:6201448f7371601f6d476baa0197fce7c1093f5fd49fe78798128a116d175e14", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002390", "prompt": "Solve the equation -7(x - 83) - 45 = x + 408 for x.", "solution_steps": ["Expand: -7x + 581 - 45 = x + 408", "Combine constants: -7x + 536 = x + 408", "Subtract x from both sides: -8x + 536 = 408", "Subtract 536 from both sides: -8x = -128", "Divide both sides by -8: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 83) - 45 = x + 408", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 83, \"c\": 45, \"e\": 408, \"x\": 16}", "seed": "5418743584750657598", "semantic_fingerprint": "sha256:9a978d474c57b36a929f7169704c06d21118fd01e3038e94f12b3aa7a6a1db84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002391", "prompt": "Compute: -7 + 5 / 87 / (2 / (-80)) - 0", "solution_steps": ["Divide: 5 / 87 = 5/87", "Divide: 2 / (-80) = -1/40", "Divide: (5/87) / (-1/40) = -200/87", "Add: -7 + (-200/87) = -809/87", "Subtract: -809/87 - 0 = -809/87"], "final_answer": "-809/87", "answer_type": "rational", "kind": "expression", "math_text": "-7 + 5 / 87 / (2 / (-80)) - 0", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ (/ n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 87, \"d\": 2, \"e\": -80, \"f\": 0}", "seed": "13039959459551692127", "semantic_fingerprint": "sha256:dfc877b63658c883e34a83ca3e1288506cecfc060aa3235b4ff51ed206f62d41", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002392", "prompt": "Calculate: 8 - (104 + (-5 - 3)) * (6 + 0)", "solution_steps": ["Subtract: -5 - 3 = -8", "Add: 104 + (-8) = 96", "Add: 6 + 0 = 6", "Multiply: 96 * 6 = 576", "Subtract: 8 - 576 = -568"], "final_answer": "-568", "answer_type": "integer", "kind": "expression", "math_text": "8 - (104 + (-5 - 3)) * (6 + 0)", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ n (- n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 104, \"c\": -5, \"d\": 3, \"e\": 6, \"f\": 0}", "seed": "13588494986013427468", "semantic_fingerprint": "sha256:f439e4f59fc30ba8fabc1fe1c570cf4d64f2d6860a967ba12aed51365c052f97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002393", "prompt": "What is 9 / (-5 - 257 / ((62 + (-8)) / (-37)))?", "solution_steps": ["Add: 62 + (-8) = 54", "Divide: 54 / (-37) = -54/37", "Divide: 257 / (-54/37) = -9509/54", "Subtract: -5 - (-9509/54) = 9239/54", "Divide: 9 / (9239/54) = 486/9239"], "final_answer": "486/9239", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-5 - 257 / ((62 + (-8)) / (-37)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- n (/ n (/ (+ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 257, \"d\": 62, \"e\": -8, \"f\": -37}", "seed": "2842832490710030323", "semantic_fingerprint": "sha256:cc29a6b64b8dbfaf359cb8886f587295da9c403b06d4680968cf1b3bc6a09fe0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002394", "prompt": "Calculate: -8 * (-216 + (-21) * (-855))", "solution_steps": ["Multiply: -21 * (-855) = 17955", "Add: -216 + 17955 = 17739", "Multiply: -8 * 17739 = -141912"], "final_answer": "-141912", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-216 + (-21) * (-855))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -216, \"c\": -21, \"d\": -855}", "seed": "11043318653457580692", "semantic_fingerprint": "sha256:0bc66c4fa512e9e312c4938be2b6e876d16cbe21ed9055c3a4363a63469aae16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002395", "prompt": "Solve the equation 7(x - 2) + 248 = 6(x + 36) for x.", "solution_steps": ["Expand: 7x - 14 + 248 = 6(x + 36)", "Expand: 7x - 14 + 248 = 6x + 216", "Combine constants: 7x + 234 = 6x + 216", "Subtract 6x from both sides: x + 234 = 216", "Subtract 234 from both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 2) + 248 = 6(x + 36)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 6, \"d\": 36, \"f\": 248, \"x\": -18}", "seed": "2465648350628767288", "semantic_fingerprint": "sha256:e3284d3c0c81dde97e7d5f28d613d671f6bfc767766c3547dd354351eb6fcd23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002396", "prompt": "Calculate: -3 - 0 / 5 - 1", "solution_steps": ["Divide: 0 / 5 = 0", "Subtract: -3 - 0 = -3", "Subtract: -3 - 1 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 0 / 5 - 1", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 0, \"c\": 5, \"d\": 1}", "seed": "12742337575198219979", "semantic_fingerprint": "sha256:374d8afee330fd71f98089b76a859e2d9f0f523bb624da21159b199ec324fdeb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002397", "prompt": "Solve the equation 3x - 7 = 2(x - 6) for x.", "solution_steps": ["Expand: 3x - 7 = 2x - 12", "Subtract 2x from both sides: x - 7 = -12", "Add 7 to both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 7 = 2(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 6, \"e\": -7, \"x\": -5}", "seed": "13946876702910506639", "semantic_fingerprint": "sha256:1186e430a1ebdf097b095cb9124cf23e09272071c9004b05549cf5ed8e9a2021", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002398", "prompt": "Evaluate: -382 + (2 - (-910)) + 786", "solution_steps": ["Subtract: 2 - (-910) = 912", "Add: -382 + 912 = 530", "Add: 530 + 786 = 1316"], "final_answer": "1316", "answer_type": "integer", "kind": "expression", "math_text": "-382 + (2 - (-910)) + 786", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -382, \"b\": 2, \"c\": -910, \"d\": 786}", "seed": "11897416380059423198", "semantic_fingerprint": "sha256:f98f20da4afc2c2ea496321324e803e78a74acf9ce7a7926678a848cf8d39097", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002399", "prompt": "Evaluate: 610 / (71 / 7) * (-4 / (-24))", "solution_steps": ["Divide: 71 / 7 = 71/7", "Divide: 610 / (71/7) = 4270/71", "Divide: -4 / (-24) = 1/6", "Multiply: (4270/71) * (1/6) = 2135/213"], "final_answer": "2135/213", "answer_type": "rational", "kind": "expression", "math_text": "610 / (71 / 7) * (-4 / (-24))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 610, \"b\": 71, \"c\": 7, \"d\": -4, \"e\": -24}", "seed": "8562096887183796223", "semantic_fingerprint": "sha256:66a6693c75a53b43e50bcc303afc34d7d1b3040dee3a8a2875d32a21adb73fa9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002400", "prompt": "What is 0 + (-46) + 7 - (-659 + 0)?", "solution_steps": ["Add: 0 + (-46) = -46", "Add: -46 + 7 = -39", "Add: -659 + 0 = -659", "Subtract: -39 - (-659) = 620"], "final_answer": "620", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-46) + 7 - (-659 + 0)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -46, \"c\": 7, \"d\": -659, \"e\": 0}", "seed": "13865147236561217168", "semantic_fingerprint": "sha256:2bbb8e543eb2d50b4371ca63bc2dff4ba04db78b4abefa0fe70bcd86f1610572", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002401", "prompt": "Calculate: -202 * (-4) - (21 + (-2)) * (2 * (-7))", "solution_steps": ["Multiply: -202 * (-4) = 808", "Add: 21 + (-2) = 19", "Multiply: 2 * (-7) = -14", "Multiply: 19 * (-14) = -266", "Subtract: 808 - (-266) = 1074"], "final_answer": "1074", "answer_type": "integer", "kind": "expression", "math_text": "-202 * (-4) - (21 + (-2)) * (2 * (-7))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -202, \"b\": -4, \"c\": 21, \"d\": -2, \"e\": 2, \"f\": -7}", "seed": "16648943016651055750", "semantic_fingerprint": "sha256:5a6bc0cc69369c01dafb2230b735b88fbb34e2e7009def5729b359448230bf0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002402", "prompt": "Calculate: -167 * (46 + (-9)) * (22 + (-4 - 13))", "solution_steps": ["Add: 46 + (-9) = 37", "Multiply: -167 * 37 = -6179", "Subtract: -4 - 13 = -17", "Add: 22 + (-17) = 5", "Multiply: -6179 * 5 = -30895"], "final_answer": "-30895", "answer_type": "integer", "kind": "expression", "math_text": "-167 * (46 + (-9)) * (22 + (-4 - 13))", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -167, \"b\": 46, \"c\": -9, \"d\": 22, \"e\": -4, \"f\": 13}", "seed": "3379748539529972074", "semantic_fingerprint": "sha256:0d36c1b681117e9df5fbce6a2a3cca00d62b096e2f3c14cc9f4482f4f3e388e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002403", "prompt": "What value of x satisfies -4x = 11(x + 31) - 161?", "solution_steps": ["Expand: -4x = 11x + 341 - 161", "Combine constants: -4x = 11x + 180", "Subtract 11x from both sides: -15x = 180", "Divide both sides by -15: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 11(x + 31) - 161", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 11, \"c\": 31, \"e\": -161, \"x\": -12}", "seed": "6203710208843507203", "semantic_fingerprint": "sha256:ad8be4efb9d29808351f5fb623b57d0f550b5fb03f3af256a65398fd06ccaa87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002404", "prompt": "Solve for x: 10(x - 2) + 515 = 5(x + 88)", "solution_steps": ["Expand: 10x - 20 + 515 = 5(x + 88)", "Expand: 10x - 20 + 515 = 5x + 440", "Combine constants: 10x + 495 = 5x + 440", "Subtract 5x from both sides: 5x + 495 = 440", "Subtract 495 from both sides: 5x = -55", "Divide both sides by 5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 2) + 515 = 5(x + 88)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 5, \"d\": 88, \"f\": 515, \"x\": -11}", "seed": "11005486436280288418", "semantic_fingerprint": "sha256:aac7ba55a8f36853ecf769371c321c4faaae275718316b5cd8adfc4f42d2e155", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002405", "prompt": "Evaluate: 24 - (72 + (6 + (-887) + 1))", "solution_steps": ["Add: 6 + (-887) = -881", "Add: -881 + 1 = -880", "Add: 72 + (-880) = -808", "Subtract: 24 - (-808) = 832"], "final_answer": "832", "answer_type": "integer", "kind": "expression", "math_text": "24 - (72 + (6 + (-887) + 1))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 72, \"c\": 6, \"d\": -887, \"e\": 1}", "seed": "8918554572186811216", "semantic_fingerprint": "sha256:d929acf8f467af449dcfc92c25548a2bbfc4132ee3f466e275c4c0694c34762b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002406", "prompt": "Find x: 8(x + 94) - 3 = x + 644", "solution_steps": ["Expand: 8x + 752 - 3 = x + 644", "Combine constants: 8x + 749 = x + 644", "Subtract x from both sides: 7x + 749 = 644", "Subtract 749 from both sides: 7x = -105", "Divide both sides by 7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 94) - 3 = x + 644", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 94, \"c\": 3, \"e\": 644, \"x\": -15}", "seed": "9086670606411077166", "semantic_fingerprint": "sha256:68c819c46601d4920fd10e9ea76637b02f52592ed8692dba9e6adb53d3f16e70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002407", "prompt": "Evaluate: 82 + (-43 - (-280)) + (-8)", "solution_steps": ["Subtract: -43 - (-280) = 237", "Add: 82 + 237 = 319", "Add: 319 + (-8) = 311"], "final_answer": "311", "answer_type": "integer", "kind": "expression", "math_text": "82 + (-43 - (-280)) + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -43, \"c\": -280, \"d\": -8}", "seed": "6448939394871983465", "semantic_fingerprint": "sha256:bdce7fea31287838a9e706bb65d4911c93ca1951b0ab0caed9b34499f806ccb9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002408", "prompt": "What is 0 * 8 + 16 / (61 - 2)?", "solution_steps": ["Multiply: 0 * 8 = 0", "Subtract: 61 - 2 = 59", "Divide: 16 / 59 = 16/59", "Add: 0 + 16/59 = 16/59"], "final_answer": "16/59", "answer_type": "rational", "kind": "expression", "math_text": "0 * 8 + 16 / (61 - 2)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": 16, \"d\": 61, \"e\": 2}", "seed": "12664639588646061473", "semantic_fingerprint": "sha256:08680bdde4be2fa979c8e7a46be1d9a4a3ce7c25b7ec759ad585e5612406cf04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002409", "prompt": "Solve for x: 7x - 84 = 9(x - 8)", "solution_steps": ["Expand: 7x - 84 = 9x - 72", "Subtract 9x from both sides: -2x - 84 = -72", "Add 84 to both sides: -2x = 12", "Divide both sides by -2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 84 = 9(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 8, \"e\": -84, \"x\": -6}", "seed": "14860227113130611511", "semantic_fingerprint": "sha256:a3b23b01cb71197cc71fcc95a0ff01d897e9ba8c5028e9c571379f48c79d1681", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002410", "prompt": "Solve the equation 2x - 87 = 7x - 167 for x.", "solution_steps": ["Subtract 7x from both sides: -5x - 87 = -167", "Add 87 to both sides: -5x = -80", "Divide both sides by -5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 87 = 7x - 167", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 87, \"c\": 7, \"e\": -167, \"x\": 16}", "seed": "7476886609201839285", "semantic_fingerprint": "sha256:60e4a0bf0e5b4075da7739167038d385ae327879a918b64aceeb5edae9ed83e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002411", "prompt": "What value of x satisfies 10x = 2(x + 119) + 52?", "solution_steps": ["Expand: 10x = 2x + 238 + 52", "Combine constants: 10x = 2x + 290", "Subtract 2x from both sides: 8x = 290", "Divide both sides by 8: x = 145/4"], "final_answer": "145/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 2(x + 119) + 52", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 119, \"d\": 52}", "seed": "4010801479638490137", "semantic_fingerprint": "sha256:10852f197a20c7d15f0720c1773917b24a8aab7f98bdb307a03543b3b451c142", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002412", "prompt": "Find x: -10(x - 3) + 18 = -6(x + 4)", "solution_steps": ["Expand: -10x + 30 + 18 = -6(x + 4)", "Expand: -10x + 30 + 18 = -6x - 24", "Combine constants: -10x + 48 = -6x - 24", "Add 6x to both sides: -4x + 48 = -24", "Subtract 48 from both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 3) + 18 = -6(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": -6, \"d\": 4, \"f\": 18, \"x\": 18}", "seed": "327120380082420803", "semantic_fingerprint": "sha256:4e8f76207a6ab42a7343943bcd2a10c2e3e5aeb4286fa69cb5bd5ddb35a3be19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002413", "prompt": "Solve the equation 6x = 12(x + 10) - 114 for x.", "solution_steps": ["Expand: 6x = 12x + 120 - 114", "Combine constants: 6x = 12x + 6", "Subtract 12x from both sides: -6x = 6", "Divide both sides by -6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 12(x + 10) - 114", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 12, \"c\": 10, \"e\": -114, \"x\": -1}", "seed": "9269008032394050259", "semantic_fingerprint": "sha256:d9af8ceb5e503fd7527c6c38d3a3b74b534f655c01f23afb4117c8d8c0dcc700", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002414", "prompt": "Solve the equation 6(x - 99) + 19 = 9(x + 68) for x.", "solution_steps": ["Expand: 6x - 594 + 19 = 9(x + 68)", "Expand: 6x - 594 + 19 = 9x + 612", "Combine constants: 6x - 575 = 9x + 612", "Subtract 9x from both sides: -3x - 575 = 612", "Add 575 to both sides: -3x = 1187", "Divide both sides by -3: x = -1187/3"], "final_answer": "-1187/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 99) + 19 = 9(x + 68)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 99, \"c\": 19, \"d\": 9, \"e\": 68}", "seed": "17066070385065630626", "semantic_fingerprint": "sha256:45c5fceb4c3fe9d0b1e9064097aa82114235cde16f5df0ba52bf49e29dbff0cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002415", "prompt": "Calculate: 6 / (-6 / 448) + 5", "solution_steps": ["Divide: -6 / 448 = -3/224", "Divide: 6 / (-3/224) = -448", "Add: -448 + 5 = -443"], "final_answer": "-443", "answer_type": "integer", "kind": "expression", "math_text": "6 / (-6 / 448) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -6, \"c\": 448, \"d\": 5}", "seed": "14768864764238570600", "semantic_fingerprint": "sha256:ec077235c202899c74d7f26e8b4319094d303ea9c88136e8ed1a563f71f4de8d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002416", "prompt": "Calculate: (640 - (-996) - 845) * 953", "solution_steps": ["Subtract: 640 - (-996) = 1636", "Subtract: 1636 - 845 = 791", "Multiply: 791 * 953 = 753823"], "final_answer": "753823", "answer_type": "integer", "kind": "expression", "math_text": "(640 - (-996) - 845) * 953", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 640, \"b\": -996, \"c\": 845, \"d\": 953}", "seed": "13452053177530871284", "semantic_fingerprint": "sha256:44c2c4038861d3b789a38c361da2e595eadd7fc8836a7c551d3d0ca3589f9b4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002417", "prompt": "Calculate: 200 - (-5) * ((4 + 0) / (-6) / (-6))", "solution_steps": ["Add: 4 + 0 = 4", "Divide: 4 / (-6) = -2/3", "Divide: (-2/3) / (-6) = 1/9", "Multiply: -5 * (1/9) = -5/9", "Subtract: 200 - (-5/9) = 1805/9"], "final_answer": "1805/9", "answer_type": "rational", "kind": "expression", "math_text": "200 - (-5) * ((4 + 0) / (-6) / (-6))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (/ (/ (+ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 200, \"b\": -5, \"c\": 4, \"d\": 0, \"e\": -6, \"f\": -6}", "seed": "734738223288159170", "semantic_fingerprint": "sha256:1318b916fff25a18bba900bce1e5954b977a62a0c3ee06ddf633c789db0b1773", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002418", "prompt": "What value of x satisfies 6(x - 18) + 362 = 4(x + 68)?", "solution_steps": ["Expand: 6x - 108 + 362 = 4(x + 68)", "Expand: 6x - 108 + 362 = 4x + 272", "Combine constants: 6x + 254 = 4x + 272", "Subtract 4x from both sides: 2x + 254 = 272", "Subtract 254 from both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 18) + 362 = 4(x + 68)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 18, \"c\": 4, \"d\": 68, \"f\": 362, \"x\": 9}", "seed": "10494693505968039854", "semantic_fingerprint": "sha256:e5b4202138a4eec93a61fbbd72c8c583ec140712463c7cd927888384bc85b779", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002419", "prompt": "Find x: 12(x + 78) + 27 = x + 842", "solution_steps": ["Expand: 12x + 936 + 27 = x + 842", "Combine constants: 12x + 963 = x + 842", "Subtract x from both sides: 11x + 963 = 842", "Subtract 963 from both sides: 11x = -121", "Divide both sides by 11: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 78) + 27 = x + 842", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 78, \"c\": 27, \"e\": 842, \"x\": -11}", "seed": "17536495563135796958", "semantic_fingerprint": "sha256:261bf545ffca5494a1fc9a2e3ea0df69d5517610a068f39fb011488431a3167d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002420", "prompt": "Compute: 95 * (-74) / (-19) + (317 - (-8))", "solution_steps": ["Multiply: 95 * (-74) = -7030", "Divide: -7030 / (-19) = 370", "Subtract: 317 - (-8) = 325", "Add: 370 + 325 = 695"], "final_answer": "695", "answer_type": "integer", "kind": "expression", "math_text": "95 * (-74) / (-19) + (317 - (-8))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -74, \"c\": -19, \"d\": 317, \"e\": -8}", "seed": "9406507213023784497", "semantic_fingerprint": "sha256:8b8ee7fa89ea2b46a732e60318afa579f631e21c0b3d21dd3ca0a0536a372b8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002421", "prompt": "Solve the equation -4(x - 7) - 8 = x + 15 for x.", "solution_steps": ["Expand: -4x + 28 - 8 = x + 15", "Combine constants: -4x + 20 = x + 15", "Subtract x from both sides: -5x + 20 = 15", "Subtract 20 from both sides: -5x = -5", "Divide both sides by -5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 7) - 8 = x + 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 8, \"e\": 15, \"x\": 1}", "seed": "12438186499932306297", "semantic_fingerprint": "sha256:f9b5024bcfd79282953ddc3aee0956442ade3f537fdbe00b67ef12d757704c13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002422", "prompt": "Evaluate: -97 + 7 * (9 + 1) / (-32)", "solution_steps": ["Add: 9 + 1 = 10", "Multiply: 7 * 10 = 70", "Divide: 70 / (-32) = -35/16", "Add: -97 + (-35/16) = -1587/16"], "final_answer": "-1587/16", "answer_type": "rational", "kind": "expression", "math_text": "-97 + 7 * (9 + 1) / (-32)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 7, \"c\": 9, \"d\": 1, \"e\": -32}", "seed": "10294984468210760297", "semantic_fingerprint": "sha256:6f519c5d6e82ac54a3e06e017a4589c09ca000e9e05a0478f62d94aef841040c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002423", "prompt": "Evaluate: -4 * (-25) / (-549) - 68 / (-549)", "solution_steps": ["Multiply: -4 * (-25) = 100", "Divide: 100 / (-549) = -100/549", "Divide: 68 / (-549) = -68/549", "Subtract: -100/549 - (-68/549) = -32/549"], "final_answer": "-32/549", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-25) / (-549) - 68 / (-549)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -25, \"c\": -549, \"d\": 68, \"e\": -549}", "seed": "9590705215018850677", "semantic_fingerprint": "sha256:ed57178e3ba1fdae3b015385f962ee0f887f9428bcd7e14d14ee4e972908f50e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002424", "prompt": "What is (7 + (-345)) / 22 + 40?", "solution_steps": ["Add: 7 + (-345) = -338", "Divide: -338 / 22 = -169/11", "Add: -169/11 + 40 = 271/11"], "final_answer": "271/11", "answer_type": "rational", "kind": "expression", "math_text": "(7 + (-345)) / 22 + 40", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -345, \"c\": 22, \"d\": 40}", "seed": "8363581837193939372", "semantic_fingerprint": "sha256:668f168cb505eb7ff83452193104482855b00eb7743ee9de0d1bd605321e7086", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002425", "prompt": "Evaluate: (0 / 59 - (-96 / (-43) - (-1))) / 78", "solution_steps": ["Divide: 0 / 59 = 0", "Divide: -96 / (-43) = 96/43", "Subtract: 96/43 - (-1) = 139/43", "Subtract: 0 - 139/43 = -139/43", "Divide: (-139/43) / 78 = -139/3354"], "final_answer": "-139/3354", "answer_type": "rational", "kind": "expression", "math_text": "(0 / 59 - (-96 / (-43) - (-1))) / 78", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) (- (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 59, \"c\": -96, \"d\": -43, \"e\": -1, \"f\": 78}", "seed": "6959591036325192999", "semantic_fingerprint": "sha256:30d523a6fe056025f5596d336ec86198680376eada80a84eec0c8b492dc78e83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002426", "prompt": "Solve the equation 12x = 2(x + 550) - 5 for x.", "solution_steps": ["Expand: 12x = 2x + 1100 - 5", "Combine constants: 12x = 2x + 1095", "Subtract 2x from both sides: 10x = 1095", "Divide both sides by 10: x = 219/2"], "final_answer": "219/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 2(x + 550) - 5", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 550, \"d\": 5}", "seed": "18161112578450853046", "semantic_fingerprint": "sha256:ac42a31cbd17daae3cb32642e45e709d51f3d0faa4001b5fcd0302b250217d01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002427", "prompt": "Compute: 4 * (-2) - (8 + (-7)) - (-2)", "solution_steps": ["Multiply: 4 * (-2) = -8", "Add: 8 + (-7) = 1", "Subtract: -8 - 1 = -9", "Subtract: -9 - (-2) = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-2) - (8 + (-7)) - (-2)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": 8, \"d\": -7, \"e\": -2}", "seed": "17119490989847447939", "semantic_fingerprint": "sha256:68b934c54207a7f08da55102a2f8e8c02ad2d6818663fd32f964327561098a18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002428", "prompt": "Solve the equation 9(x + 14) = 10(x - 9) + 206 for x.", "solution_steps": ["Expand: 9x + 126 = 10(x - 9) + 206", "Expand: 9x + 126 = 10x - 90 + 206", "Combine constants: 9x + 126 = 10x + 116", "Subtract 10x from both sides: -x + 126 = 116", "Subtract 126 from both sides: -x = -10", "Divide both sides by -1: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 14) = 10(x - 9) + 206", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 14, \"c\": 10, \"d\": 9, \"f\": 206, \"x\": 10}", "seed": "9362563009719649347", "semantic_fingerprint": "sha256:bac32fd39b3808189318b4c189b62a0937d59ebcc50837d1d4e3222a6d01f8b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002429", "prompt": "Compute: (-70 - 21 - (-200)) * 627", "solution_steps": ["Subtract: -70 - 21 = -91", "Subtract: -91 - (-200) = 109", "Multiply: 109 * 627 = 68343"], "final_answer": "68343", "answer_type": "integer", "kind": "expression", "math_text": "(-70 - 21 - (-200)) * 627", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 21, \"c\": -200, \"d\": 627}", "seed": "11839672713782123591", "semantic_fingerprint": "sha256:c3cfe4b2172c1e8836cdaffad305d803c1c00a724d38f199fabe4ddc8cd52792", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002430", "prompt": "Find x: -10(x - 7) - 32 = x + 126", "solution_steps": ["Expand: -10x + 70 - 32 = x + 126", "Combine constants: -10x + 38 = x + 126", "Subtract x from both sides: -11x + 38 = 126", "Subtract 38 from both sides: -11x = 88", "Divide both sides by -11: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 7) - 32 = x + 126", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 32, \"e\": 126, \"x\": -8}", "seed": "15044021372454295855", "semantic_fingerprint": "sha256:c81a142eeb1f4c58ac675a22edbf8152dead781aa10cf9b76bc5141117a9fab5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002431", "prompt": "Solve the equation 10x = 4(x + 96) - 10 for x.", "solution_steps": ["Expand: 10x = 4x + 384 - 10", "Combine constants: 10x = 4x + 374", "Subtract 4x from both sides: 6x = 374", "Divide both sides by 6: x = 187/3"], "final_answer": "187/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 4(x + 96) - 10", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 96, \"d\": 10}", "seed": "18345098219524836498", "semantic_fingerprint": "sha256:a6e95820a94dae81a59023c022305521e3bd688eaabf2a3522ce0af8a734f8c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002432", "prompt": "Solve the equation -7x = 2(x + 62) - 196 for x.", "solution_steps": ["Expand: -7x = 2x + 124 - 196", "Combine constants: -7x = 2x - 72", "Subtract 2x from both sides: -9x = -72", "Divide both sides by -9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 2(x + 62) - 196", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 62, \"e\": -196, \"x\": 8}", "seed": "12279211982189211880", "semantic_fingerprint": "sha256:1408017b0870f14462bf29dc4bc4c9d1dc7a84b8d1618c1887fbe00cd935b44e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002433", "prompt": "Solve for x: 11(x - 120) - 654 = x + 88", "solution_steps": ["Expand: 11x - 1320 - 654 = x + 88", "Combine constants: 11x - 1974 = x + 88", "Subtract x from both sides: 10x - 1974 = 88", "Add 1974 to both sides: 10x = 2062", "Divide both sides by 10: x = 1031/5"], "final_answer": "1031/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 120) - 654 = x + 88", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 120, \"c\": 654, \"d\": 88}", "seed": "3210444376905141015", "semantic_fingerprint": "sha256:703067d0ce91c0480303761ff68d47ed83969b16f15997d303ec31fc58be88a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002434", "prompt": "Solve for x: 7(x + 7) = 9(x - 6) + 89", "solution_steps": ["Expand: 7x + 49 = 9(x - 6) + 89", "Expand: 7x + 49 = 9x - 54 + 89", "Combine constants: 7x + 49 = 9x + 35", "Subtract 9x from both sides: -2x + 49 = 35", "Subtract 49 from both sides: -2x = -14", "Divide both sides by -2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) = 9(x - 6) + 89", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 9, \"d\": 6, \"f\": 89, \"x\": 7}", "seed": "7235444905814666940", "semantic_fingerprint": "sha256:c06f187e2cc63693daea0f7c87944519852b0f339d44d4056a694590d603231f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002435", "prompt": "What is (82 - 3) * 52 + (-53) + (-3)?", "solution_steps": ["Subtract: 82 - 3 = 79", "Multiply: 79 * 52 = 4108", "Add: 4108 + (-53) = 4055", "Add: 4055 + (-3) = 4052"], "final_answer": "4052", "answer_type": "integer", "kind": "expression", "math_text": "(82 - 3) * 52 + (-53) + (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 3, \"c\": 52, \"d\": -53, \"e\": -3}", "seed": "15620320894956994655", "semantic_fingerprint": "sha256:d20d684f45a0f09b05b03cc15ca26468e847878c52c0e1c5170711db5e657066", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002436", "prompt": "Solve for x: -3(x - 6) - 9 = x + 53", "solution_steps": ["Expand: -3x + 18 - 9 = x + 53", "Combine constants: -3x + 9 = x + 53", "Subtract x from both sides: -4x + 9 = 53", "Subtract 9 from both sides: -4x = 44", "Divide both sides by -4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 6) - 9 = x + 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 9, \"e\": 53, \"x\": -11}", "seed": "1574507825437760025", "semantic_fingerprint": "sha256:3fd3630286c125347c7ac6d900f17b8b87b3888f10e8dc7250cf7041173a7621", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002437", "prompt": "Solve the equation 7x = 6(x + 87) - 528 for x.", "solution_steps": ["Expand: 7x = 6x + 522 - 528", "Combine constants: 7x = 6x - 6", "Subtract 6x from both sides: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 6(x + 87) - 528", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 87, \"e\": -528, \"x\": -6}", "seed": "6972570211156721804", "semantic_fingerprint": "sha256:ec8a4475a32d05dfbec84d4f07e0926b69f8a15632eb788f4c48b9f036940ee1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002438", "prompt": "What value of x satisfies 2x - 57 = 9x - 106?", "solution_steps": ["Subtract 9x from both sides: -7x - 57 = -106", "Add 57 to both sides: -7x = -49", "Divide both sides by -7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 57 = 9x - 106", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 57, \"c\": 9, \"e\": -106, \"x\": 7}", "seed": "7939344417842314080", "semantic_fingerprint": "sha256:274821ca2bea064c263dceaab77c118d99c0e407ee1b14cab8e52417b371eb99", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002439", "prompt": "What value of x satisfies 2x - 52 = 7x - 37?", "solution_steps": ["Subtract 7x from both sides: -5x - 52 = -37", "Add 52 to both sides: -5x = 15", "Divide both sides by -5: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 52 = 7x - 37", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 52, \"c\": 7, \"e\": -37, \"x\": -3}", "seed": "11877592139172271646", "semantic_fingerprint": "sha256:04803e37e4ead78cf80c7b1dec908287aee842eef0f1a2845083fa82380e8eb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002440", "prompt": "Calculate: -593 * ((6 - 57) / (-73) - (-15))", "solution_steps": ["Subtract: 6 - 57 = -51", "Divide: -51 / (-73) = 51/73", "Subtract: 51/73 - (-15) = 1146/73", "Multiply: -593 * (1146/73) = -679578/73"], "final_answer": "-679578/73", "answer_type": "rational", "kind": "expression", "math_text": "-593 * ((6 - 57) / (-73) - (-15))", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -593, \"b\": 6, \"c\": 57, \"d\": -73, \"e\": -15}", "seed": "9746919224840598436", "semantic_fingerprint": "sha256:669f5e4cfdb65d2b2c241f3e6edecf0739f6d21dadbdcbe1cd0567c4bef076ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002441", "prompt": "Solve the equation 12x - 132 = 6(x - 4) for x.", "solution_steps": ["Expand: 12x - 132 = 6x - 24", "Subtract 6x from both sides: 6x - 132 = -24", "Add 132 to both sides: 6x = 108", "Divide both sides by 6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 132 = 6(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 4, \"e\": -132, \"x\": 18}", "seed": "18039120502455285028", "semantic_fingerprint": "sha256:6cce578a787eaac62c2d7e3ea952bda0f5f6ffa56adc5f3e7d712cca662278f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002442", "prompt": "Compute: 31 * (-36) + 495 + (-61)", "solution_steps": ["Multiply: 31 * (-36) = -1116", "Add: -1116 + 495 = -621", "Add: -621 + (-61) = -682"], "final_answer": "-682", "answer_type": "integer", "kind": "expression", "math_text": "31 * (-36) + 495 + (-61)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -36, \"c\": 495, \"d\": -61}", "seed": "9186205272049314407", "semantic_fingerprint": "sha256:85cbea5ccdacf4dcbd79bba9fdfe2dde8645ba3a43a52b6df8819f8ee237fc9a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002443", "prompt": "What is (1 - (-130) - 267) * 6?", "solution_steps": ["Subtract: 1 - (-130) = 131", "Subtract: 131 - 267 = -136", "Multiply: -136 * 6 = -816"], "final_answer": "-816", "answer_type": "integer", "kind": "expression", "math_text": "(1 - (-130) - 267) * 6", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -130, \"c\": 267, \"d\": 6}", "seed": "6025114588826576175", "semantic_fingerprint": "sha256:ac5293479f6b68b6db426066dec1041fa585fd12932976562d4e70620b71f9d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002444", "prompt": "Evaluate: (1 + 91) / (8 + (-263))", "solution_steps": ["Add: 1 + 91 = 92", "Add: 8 + (-263) = -255", "Divide: 92 / (-255) = -92/255"], "final_answer": "-92/255", "answer_type": "rational", "kind": "expression", "math_text": "(1 + 91) / (8 + (-263))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 91, \"c\": 8, \"d\": -263}", "seed": "4072985573176811300", "semantic_fingerprint": "sha256:cb02e8d8267073c18ab27a7fc126280d5f6913ecc0f4e434a89d0333e9343a68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002445", "prompt": "Find x: 5(x + 4) = 12(x - 7) + 153", "solution_steps": ["Expand: 5x + 20 = 12(x - 7) + 153", "Expand: 5x + 20 = 12x - 84 + 153", "Combine constants: 5x + 20 = 12x + 69", "Subtract 12x from both sides: -7x + 20 = 69", "Subtract 20 from both sides: -7x = 49", "Divide both sides by -7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 4) = 12(x - 7) + 153", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 12, \"d\": 7, \"f\": 153, \"x\": -7}", "seed": "7187189153813451909", "semantic_fingerprint": "sha256:269807f849ba9a0bf8cbf663e166fbbeaf361950d3f5898c93e10947e9b265be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002446", "prompt": "What value of x satisfies 11(x + 82) = 8(x - 202) + 3?", "solution_steps": ["Expand: 11x + 902 = 8(x - 202) + 3", "Expand: 11x + 902 = 8x - 1616 + 3", "Combine constants: 11x + 902 = 8x - 1613", "Subtract 8x from both sides: 3x + 902 = -1613", "Subtract 902 from both sides: 3x = -2515", "Divide both sides by 3: x = -2515/3"], "final_answer": "-2515/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 82) = 8(x - 202) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 82, \"c\": 8, \"d\": 202, \"e\": 3}", "seed": "4006733456243330653", "semantic_fingerprint": "sha256:a4c0d108245a27ca70b5355136614a469eedec204a0e4b42b1c8f2742e1d11f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002447", "prompt": "Compute: (2 - 33) * 27 + (912 + (-9)) * (-54)", "solution_steps": ["Subtract: 2 - 33 = -31", "Multiply: -31 * 27 = -837", "Add: 912 + (-9) = 903", "Multiply: 903 * (-54) = -48762", "Add: -837 + (-48762) = -49599"], "final_answer": "-49599", "answer_type": "integer", "kind": "expression", "math_text": "(2 - 33) * 27 + (912 + (-9)) * (-54)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 33, \"c\": 27, \"d\": 912, \"e\": -9, \"f\": -54}", "seed": "12901264685481921841", "semantic_fingerprint": "sha256:3cac289f40c345aea124bc4c2cac96abb6e5cb46ed503df42ab9d3a95f98e98b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002448", "prompt": "Solve for x: 9(x + 75) - 5 = x + 758", "solution_steps": ["Expand: 9x + 675 - 5 = x + 758", "Combine constants: 9x + 670 = x + 758", "Subtract x from both sides: 8x + 670 = 758", "Subtract 670 from both sides: 8x = 88", "Divide both sides by 8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 75) - 5 = x + 758", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 75, \"c\": 5, \"e\": 758, \"x\": 11}", "seed": "16175513096863338250", "semantic_fingerprint": "sha256:92d024d999fedd213aaa7d25a058e0c53d8278b8c3fd3d0a72a997079e976e9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002449", "prompt": "Compute: 92 * (-6) / (-4) - (-306) + 0", "solution_steps": ["Multiply: 92 * (-6) = -552", "Divide: -552 / (-4) = 138", "Subtract: 138 - (-306) = 444", "Add: 444 + 0 = 444"], "final_answer": "444", "answer_type": "integer", "kind": "expression", "math_text": "92 * (-6) / (-4) - (-306) + 0", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -6, \"c\": -4, \"d\": -306, \"e\": 0}", "seed": "15395035844143356642", "semantic_fingerprint": "sha256:83a334da3944213734d6fd56a4acc432ac29f9ff088191121a45a01aef85baf5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002450", "prompt": "Compute: -2 - 179 * (2 / (-38))", "solution_steps": ["Divide: 2 / (-38) = -1/19", "Multiply: 179 * (-1/19) = -179/19", "Subtract: -2 - (-179/19) = 141/19"], "final_answer": "141/19", "answer_type": "rational", "kind": "expression", "math_text": "-2 - 179 * (2 / (-38))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 179, \"c\": 2, \"d\": -38}", "seed": "13351462043073947819", "semantic_fingerprint": "sha256:a0cbd03e7379f72a2cfa280f05dc7023e7c87039bc2dd209442fd61148fbed0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002451", "prompt": "What is 0 / (2 * 93 + (-60 - 0))?", "solution_steps": ["Multiply: 2 * 93 = 186", "Subtract: -60 - 0 = -60", "Add: 186 + (-60) = 126", "Divide: 0 / 126 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (2 * 93 + (-60 - 0))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": 93, \"d\": -60, \"e\": 0}", "seed": "10445508050416692793", "semantic_fingerprint": "sha256:cf3a4b0038d9f6a4bf99b677b659611ea35c3ca5efc395c34596baadc63ee40b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002452", "prompt": "Compute: 942 - 94 * (-8 / (-441))", "solution_steps": ["Divide: -8 / (-441) = 8/441", "Multiply: 94 * (8/441) = 752/441", "Subtract: 942 - 752/441 = 414670/441"], "final_answer": "414670/441", "answer_type": "rational", "kind": "expression", "math_text": "942 - 94 * (-8 / (-441))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 942, \"b\": 94, \"c\": -8, \"d\": -441}", "seed": "15231020173734503319", "semantic_fingerprint": "sha256:f11930235e5dd137dae96a4932f31937ab34f77b2214b4985c289fcae050748c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002453", "prompt": "Evaluate: (94 + (19 + (60 - 22))) * (-343 - 8)", "solution_steps": ["Subtract: 60 - 22 = 38", "Add: 19 + 38 = 57", "Add: 94 + 57 = 151", "Subtract: -343 - 8 = -351", "Multiply: 151 * (-351) = -53001"], "final_answer": "-53001", "answer_type": "integer", "kind": "expression", "math_text": "(94 + (19 + (60 - 22))) * (-343 - 8)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n (- n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 19, \"c\": 60, \"d\": 22, \"e\": -343, \"f\": 8}", "seed": "9098465478251187375", "semantic_fingerprint": "sha256:f0bcbd5d0e59d4279415f0db151598716b03b76bcb70c1cefec2250fa6f7e1ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002454", "prompt": "Compute: (-2 - 651) / ((561 + 53) * (-7)) + 5", "solution_steps": ["Subtract: -2 - 651 = -653", "Add: 561 + 53 = 614", "Multiply: 614 * (-7) = -4298", "Divide: -653 / (-4298) = 653/4298", "Add: 653/4298 + 5 = 22143/4298"], "final_answer": "22143/4298", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - 651) / ((561 + 53) * (-7)) + 5", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (* (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 651, \"c\": 561, \"d\": 53, \"e\": -7, \"f\": 5}", "seed": "2860598200511537012", "semantic_fingerprint": "sha256:83d51c1797f6ecfa0263a8fe506a48f31ea09da41447ff7ff3917a99e38013b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002455", "prompt": "Solve the equation 10x - 416 = 11x - 411 for x.", "solution_steps": ["Subtract 11x from both sides: -x - 416 = -411", "Add 416 to both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 416 = 11x - 411", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 416, \"c\": 11, \"e\": -411, \"x\": -5}", "seed": "12517123355224635617", "semantic_fingerprint": "sha256:c9f2c81dcae5e2728ebb25be7beae610f50b0fee25db9f16ea505ccd6db595cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002456", "prompt": "Calculate: 17 * (23 / ((7 - 95) * (-1) - 89))", "solution_steps": ["Subtract: 7 - 95 = -88", "Multiply: -88 * (-1) = 88", "Subtract: 88 - 89 = -1", "Divide: 23 / (-1) = -23", "Multiply: 17 * (-23) = -391"], "final_answer": "-391", "answer_type": "integer", "kind": "expression", "math_text": "17 * (23 / ((7 - 95) * (-1) - 89))", "variable": null, "family": "expression_5op", "shape": "(* n (/ n (- (* (- n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 23, \"c\": 7, \"d\": 95, \"e\": -1, \"f\": 89}", "seed": "10063167995338749275", "semantic_fingerprint": "sha256:d3176d6914bf63255d7825ad572412eeb87a2b2acf686fdfa9e3d88941055391", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002457", "prompt": "Solve the equation 8x = 10(x + 23) - 4 for x.", "solution_steps": ["Expand: 8x = 10x + 230 - 4", "Combine constants: 8x = 10x + 226", "Subtract 10x from both sides: -2x = 226", "Divide both sides by -2: x = -113"], "final_answer": "-113", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 10(x + 23) - 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 10, \"c\": 23, \"d\": 4}", "seed": "6846238947871910899", "semantic_fingerprint": "sha256:ba04bb448bdda351d3b1ceff939685620c631e09cc53197f3f88156e259acff6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002458", "prompt": "Find x: 11x = 3(x + 503) - 753", "solution_steps": ["Expand: 11x = 3x + 1509 - 753", "Combine constants: 11x = 3x + 756", "Subtract 3x from both sides: 8x = 756", "Divide both sides by 8: x = 189/2"], "final_answer": "189/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = 3(x + 503) - 753", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 503, \"d\": 753}", "seed": "18434420850671155790", "semantic_fingerprint": "sha256:9d24a50552d43e40074385a3cf84856f2a24482e63f10af2156a34c4b7854877", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002459", "prompt": "Solve for x: 3(x + 39) - 7 = x + 879", "solution_steps": ["Expand: 3x + 117 - 7 = x + 879", "Combine constants: 3x + 110 = x + 879", "Subtract x from both sides: 2x + 110 = 879", "Subtract 110 from both sides: 2x = 769", "Divide both sides by 2: x = 769/2"], "final_answer": "769/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 39) - 7 = x + 879", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 39, \"c\": 7, \"d\": 879}", "seed": "3928245606543101008", "semantic_fingerprint": "sha256:2ee70b17b5a26970a024a20800accc242fb4c5cf0209cf513c2d40aa8818c2d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002460", "prompt": "Solve for x: 5x - 554 = 6(x - 89)", "solution_steps": ["Expand: 5x - 554 = 6x - 534", "Subtract 6x from both sides: -x - 554 = -534", "Add 554 to both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 554 = 6(x - 89)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 89, \"e\": -554, \"x\": -20}", "seed": "8101554548018426996", "semantic_fingerprint": "sha256:fd969a3d50ccbfd5ee50c659d9ffe569d1751ca9cf1cf8a45a92a7abb539b4c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002461", "prompt": "What value of x satisfies 9x = 8(x + 63) - 519?", "solution_steps": ["Expand: 9x = 8x + 504 - 519", "Combine constants: 9x = 8x - 15", "Subtract 8x from both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8(x + 63) - 519", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 63, \"e\": -519, \"x\": -15}", "seed": "15245291524414069808", "semantic_fingerprint": "sha256:c9dbe5b69b076d7ad607df42a06aeda7e2e13de0ae100bf5f7ebe13ce59fc550", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002462", "prompt": "Solve for x: 7(x + 3) + 29 = x + 56", "solution_steps": ["Expand: 7x + 21 + 29 = x + 56", "Combine constants: 7x + 50 = x + 56", "Subtract x from both sides: 6x + 50 = 56", "Subtract 50 from both sides: 6x = 6", "Divide both sides by 6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 3) + 29 = x + 56", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 29, \"e\": 56, \"x\": 1}", "seed": "16474457570110408315", "semantic_fingerprint": "sha256:c1b98129dae068897e7d1cceaf12254588d4198ab34b06cd948e5e44370bd326", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002463", "prompt": "Find x: 10(x + 160) + 404 = x + 5", "solution_steps": ["Expand: 10x + 1600 + 404 = x + 5", "Combine constants: 10x + 2004 = x + 5", "Subtract x from both sides: 9x + 2004 = 5", "Subtract 2004 from both sides: 9x = -1999", "Divide both sides by 9: x = -1999/9"], "final_answer": "-1999/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 160) + 404 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 160, \"c\": 404, \"d\": 5}", "seed": "5870921104684544637", "semantic_fingerprint": "sha256:d8430cbf3befcd22fc831088d0ac58c078733758a35e780fdf916de9f950d679", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002464", "prompt": "Evaluate: 65 * 4 + 11 * (-83)", "solution_steps": ["Multiply: 65 * 4 = 260", "Multiply: 11 * (-83) = -913", "Add: 260 + (-913) = -653"], "final_answer": "-653", "answer_type": "integer", "kind": "expression", "math_text": "65 * 4 + 11 * (-83)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 4, \"c\": 11, \"d\": -83}", "seed": "7524464723116566235", "semantic_fingerprint": "sha256:b04a9997b80f0c94dd434919e85c6fd59a755e4948837be1b66288f9a32a5a08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002465", "prompt": "Find x: 6x - 90 = 9x - 87", "solution_steps": ["Subtract 9x from both sides: -3x - 90 = -87", "Add 90 to both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 90 = 9x - 87", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 90, \"c\": 9, \"e\": -87, \"x\": -1}", "seed": "4700596432184428604", "semantic_fingerprint": "sha256:4e8e9d662619f4820fc9209849c3c61c41e69a54458628e774579a3f6b60975c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002466", "prompt": "What is 15 / 98 * (-91 / (-98))?", "solution_steps": ["Divide: 15 / 98 = 15/98", "Divide: -91 / (-98) = 13/14", "Multiply: (15/98) * (13/14) = 195/1372"], "final_answer": "195/1372", "answer_type": "rational", "kind": "expression", "math_text": "15 / 98 * (-91 / (-98))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 98, \"c\": -91, \"d\": -98}", "seed": "1324722418648351479", "semantic_fingerprint": "sha256:9d0e7cfb376356ec4b9bc7cd02f3f8f2832f77538f584ca965f884d5520c4948", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002467", "prompt": "Evaluate: 561 + 64 * (-68 - (-5)) - 0 * 0", "solution_steps": ["Subtract: -68 - (-5) = -63", "Multiply: 64 * (-63) = -4032", "Add: 561 + (-4032) = -3471", "Multiply: 0 * 0 = 0", "Subtract: -3471 - 0 = -3471"], "final_answer": "-3471", "answer_type": "integer", "kind": "expression", "math_text": "561 + 64 * (-68 - (-5)) - 0 * 0", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 561, \"b\": 64, \"c\": -68, \"d\": -5, \"e\": 0, \"f\": 0}", "seed": "18407288306385249017", "semantic_fingerprint": "sha256:b1214a0c8c80294313eeb2e9e9e9b612b3fe04efca39ae0e18a815b1d72a24f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002468", "prompt": "Solve the equation 4x = -7(x + 54) + 6 for x.", "solution_steps": ["Expand: 4x = -7x - 378 + 6", "Combine constants: 4x = -7x - 372", "Add 7x to both sides: 11x = -372", "Divide both sides by 11: x = -372/11"], "final_answer": "-372/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = -7(x + 54) + 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -7, \"c\": 54, \"d\": 6}", "seed": "11701516653562166987", "semantic_fingerprint": "sha256:bb796d168243b058aee36e575b50adc01f6f66e1e5086777018729144898b320", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002469", "prompt": "Find x: 8x = 2(x + 59) - 40", "solution_steps": ["Expand: 8x = 2x + 118 - 40", "Combine constants: 8x = 2x + 78", "Subtract 2x from both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 2(x + 59) - 40", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 59, \"e\": -40, \"x\": 13}", "seed": "17815371433613785929", "semantic_fingerprint": "sha256:5218f7e3565aa47bf18c780158754f62c7c7255bdb93f139cffa9411c4d7036d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002470", "prompt": "What is -38 * (-41) * (12 / 547)?", "solution_steps": ["Multiply: -38 * (-41) = 1558", "Divide: 12 / 547 = 12/547", "Multiply: 1558 * (12/547) = 18696/547"], "final_answer": "18696/547", "answer_type": "rational", "kind": "expression", "math_text": "-38 * (-41) * (12 / 547)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -41, \"c\": 12, \"d\": 547}", "seed": "10944792213429928024", "semantic_fingerprint": "sha256:5686513ae62993b66bb4e46c3e422291947789cc818db18d2e118b8ac860625f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002471", "prompt": "Evaluate: -1 * (42 * 492) + 3 * (-900 + 8)", "solution_steps": ["Multiply: 42 * 492 = 20664", "Multiply: -1 * 20664 = -20664", "Add: -900 + 8 = -892", "Multiply: 3 * (-892) = -2676", "Add: -20664 + (-2676) = -23340"], "final_answer": "-23340", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (42 * 492) + 3 * (-900 + 8)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* n n)) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 42, \"c\": 492, \"d\": 3, \"e\": -900, \"f\": 8}", "seed": "11073939547070070952", "semantic_fingerprint": "sha256:f2e4569a77eed5bb594e7f059f6939b7ee507cdd803ef95cecc6ebc373e4a8b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002472", "prompt": "Find x: 5(x + 26) + 1 = x + 85", "solution_steps": ["Expand: 5x + 130 + 1 = x + 85", "Combine constants: 5x + 131 = x + 85", "Subtract x from both sides: 4x + 131 = 85", "Subtract 131 from both sides: 4x = -46", "Divide both sides by 4: x = -23/2"], "final_answer": "-23/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 26) + 1 = x + 85", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 26, \"c\": 1, \"d\": 85}", "seed": "13299740465903834986", "semantic_fingerprint": "sha256:be9d5290b85911297848852f20bcc6e8da78b0ffb9dffd47c97def22951731b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002473", "prompt": "Compute: 70 / (-48) + (9 - (4 + (-43)))", "solution_steps": ["Divide: 70 / (-48) = -35/24", "Add: 4 + (-43) = -39", "Subtract: 9 - (-39) = 48", "Add: -35/24 + 48 = 1117/24"], "final_answer": "1117/24", "answer_type": "rational", "kind": "expression", "math_text": "70 / (-48) + (9 - (4 + (-43)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -48, \"c\": 9, \"d\": 4, \"e\": -43}", "seed": "9128889022880803160", "semantic_fingerprint": "sha256:e0837d135ebd50b1fa1033627bcc7b0cbde52585e2d806c2ab1e186af63aa792", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002474", "prompt": "Solve for x: 7(x + 76) - 195 = x + 301", "solution_steps": ["Expand: 7x + 532 - 195 = x + 301", "Combine constants: 7x + 337 = x + 301", "Subtract x from both sides: 6x + 337 = 301", "Subtract 337 from both sides: 6x = -36", "Divide both sides by 6: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 76) - 195 = x + 301", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 76, \"c\": 195, \"e\": 301, \"x\": -6}", "seed": "3255569147055821351", "semantic_fingerprint": "sha256:34907bb0f928deeebcd8525b97c457b3f08d408a072da691ae3aa14d7cffd471", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002475", "prompt": "What is -68 - 64 * (-8) + 9 * (-71)?", "solution_steps": ["Multiply: 64 * (-8) = -512", "Subtract: -68 - (-512) = 444", "Multiply: 9 * (-71) = -639", "Add: 444 + (-639) = -195"], "final_answer": "-195", "answer_type": "integer", "kind": "expression", "math_text": "-68 - 64 * (-8) + 9 * (-71)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 64, \"c\": -8, \"d\": 9, \"e\": -71}", "seed": "6081118195326632971", "semantic_fingerprint": "sha256:a3c1b9480c55bc85e765074177367f6e11a557e2f4c5e5a24f1c0a4ee66a6ce1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002476", "prompt": "What value of x satisfies 4(x + 37) + 466 = x + 671?", "solution_steps": ["Expand: 4x + 148 + 466 = x + 671", "Combine constants: 4x + 614 = x + 671", "Subtract x from both sides: 3x + 614 = 671", "Subtract 614 from both sides: 3x = 57", "Divide both sides by 3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 37) + 466 = x + 671", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 37, \"c\": 466, \"e\": 671, \"x\": 19}", "seed": "16865513962465119444", "semantic_fingerprint": "sha256:fa43db748f11a7f393f6097c8b963b811594fcf606726fb0832783056a2f1fc8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002477", "prompt": "Calculate: (191 - 7) * 8 / (-90 + 0) / (-66)", "solution_steps": ["Subtract: 191 - 7 = 184", "Multiply: 184 * 8 = 1472", "Add: -90 + 0 = -90", "Divide: 1472 / (-90) = -736/45", "Divide: (-736/45) / (-66) = 368/1485"], "final_answer": "368/1485", "answer_type": "rational", "kind": "expression", "math_text": "(191 - 7) * 8 / (-90 + 0) / (-66)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* (- n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 191, \"b\": 7, \"c\": 8, \"d\": -90, \"e\": 0, \"f\": -66}", "seed": "11691109000741785099", "semantic_fingerprint": "sha256:ec6c99faafce59ef48af55e36a59a580a510b093a7256cffdcd8ddbe353c0b62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002478", "prompt": "Evaluate: -2 / (-24) + 2 - (-648) + 5", "solution_steps": ["Divide: -2 / (-24) = 1/12", "Add: 1/12 + 2 = 25/12", "Subtract: 25/12 - (-648) = 7801/12", "Add: 7801/12 + 5 = 7861/12"], "final_answer": "7861/12", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-24) + 2 - (-648) + 5", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -24, \"c\": 2, \"d\": -648, \"e\": 5}", "seed": "16006873912741485410", "semantic_fingerprint": "sha256:585b033d318934da83e5b25cac35f1a91e01d62cf11797490b5db720678d6dbd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002479", "prompt": "Solve for x: -9x = 11(x + 41) - 651", "solution_steps": ["Expand: -9x = 11x + 451 - 651", "Combine constants: -9x = 11x - 200", "Subtract 11x from both sides: -20x = -200", "Divide both sides by -20: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 11(x + 41) - 651", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 11, \"c\": 41, \"e\": -651, \"x\": 10}", "seed": "88818408511840662", "semantic_fingerprint": "sha256:b9972448d5cc749f439d4b8d0c2e2aa7bd49908c828c06c72a22316bc026a213", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002480", "prompt": "Calculate: -5 - 518 - (-1 + 95 * (-95 / 4))", "solution_steps": ["Subtract: -5 - 518 = -523", "Divide: -95 / 4 = -95/4", "Multiply: 95 * (-95/4) = -9025/4", "Add: -1 + (-9025/4) = -9029/4", "Subtract: -523 - (-9029/4) = 6937/4"], "final_answer": "6937/4", "answer_type": "rational", "kind": "expression", "math_text": "-5 - 518 - (-1 + 95 * (-95 / 4))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ n (* n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 518, \"c\": -1, \"d\": 95, \"e\": -95, \"f\": 4}", "seed": "3761476189239243725", "semantic_fingerprint": "sha256:8f6c8e661307db0787edcf52b7b8259b994c31e43ffa5e7eb8cc91875b76b3f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002481", "prompt": "What value of x satisfies 2x = 11(x + 8) - 178?", "solution_steps": ["Expand: 2x = 11x + 88 - 178", "Combine constants: 2x = 11x - 90", "Subtract 11x from both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 11(x + 8) - 178", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 11, \"c\": 8, \"e\": -178, \"x\": 10}", "seed": "6473481171912042935", "semantic_fingerprint": "sha256:2c2d9ca1a8f5ac981e87ab1e16377fec0c2def5f650c964b54d5381a63a2e0ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002482", "prompt": "Solve the equation 3(x - 27) + 7 = 5(x + 1) for x.", "solution_steps": ["Expand: 3x - 81 + 7 = 5(x + 1)", "Expand: 3x - 81 + 7 = 5x + 5", "Combine constants: 3x - 74 = 5x + 5", "Subtract 5x from both sides: -2x - 74 = 5", "Add 74 to both sides: -2x = 79", "Divide both sides by -2: x = -79/2"], "final_answer": "-79/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 27) + 7 = 5(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 27, \"c\": 7, \"d\": 5, \"e\": 1}", "seed": "15210355796619449439", "semantic_fingerprint": "sha256:85a8783a817577445a7194b1ddadad55d57a4f2646d4d1c8342e68a85c598dcd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002483", "prompt": "Calculate: 4 + (-5 - 93) + (-789)", "solution_steps": ["Subtract: -5 - 93 = -98", "Add: 4 + (-98) = -94", "Add: -94 + (-789) = -883"], "final_answer": "-883", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-5 - 93) + (-789)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -5, \"c\": 93, \"d\": -789}", "seed": "798229492699807940", "semantic_fingerprint": "sha256:358399f75e6c8020ef01218f912477a9ba0cfd1e1a8ccaf04f8384ce0147e251", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002484", "prompt": "Evaluate: -4 + (-6 - (46 + (-4)))", "solution_steps": ["Add: 46 + (-4) = 42", "Subtract: -6 - 42 = -48", "Add: -4 + (-48) = -52"], "final_answer": "-52", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-6 - (46 + (-4)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": 46, \"d\": -4}", "seed": "8775733409192903120", "semantic_fingerprint": "sha256:d950ee9afe2a3fcecc3a91233e48af55fefe08520ca9aec28a31f1bd7fbda23a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002485", "prompt": "What value of x satisfies 3(x + 61) + 45 = x + 250?", "solution_steps": ["Expand: 3x + 183 + 45 = x + 250", "Combine constants: 3x + 228 = x + 250", "Subtract x from both sides: 2x + 228 = 250", "Subtract 228 from both sides: 2x = 22", "Divide both sides by 2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 61) + 45 = x + 250", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 61, \"c\": 45, \"e\": 250, \"x\": 11}", "seed": "16960730665420493755", "semantic_fingerprint": "sha256:c38ca17313f82668ddf46f668525675fec7093c2aa2caebfecea68ad0a27b548", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002486", "prompt": "Evaluate: -6 + 34 - (25 - (-554 - 2))", "solution_steps": ["Add: -6 + 34 = 28", "Subtract: -554 - 2 = -556", "Subtract: 25 - (-556) = 581", "Subtract: 28 - 581 = -553"], "final_answer": "-553", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 34 - (25 - (-554 - 2))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 34, \"c\": 25, \"d\": -554, \"e\": 2}", "seed": "2871838722781542934", "semantic_fingerprint": "sha256:c53a74db8a8305aec699e59271af1b8fc65b910d5991cf0541180ad32d41da52", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002487", "prompt": "What is 72 / 2 / (-8 / (-95) + 1 + 47)?", "solution_steps": ["Divide: 72 / 2 = 36", "Divide: -8 / (-95) = 8/95", "Add: 8/95 + 1 = 103/95", "Add: 103/95 + 47 = 4568/95", "Divide: 36 / (4568/95) = 855/1142"], "final_answer": "855/1142", "answer_type": "rational", "kind": "expression", "math_text": "72 / 2 / (-8 / (-95) + 1 + 47)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (+ (+ (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 2, \"c\": -8, \"d\": -95, \"e\": 1, \"f\": 47}", "seed": "9691059458027828765", "semantic_fingerprint": "sha256:1b8dd898b94fe784578b54a555fd199075c833ce3e0de71a9bcabbca2c5053b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002488", "prompt": "Calculate: 3 + (491 - 14) + (-476)", "solution_steps": ["Subtract: 491 - 14 = 477", "Add: 3 + 477 = 480", "Add: 480 + (-476) = 4"], "final_answer": "4", "answer_type": "integer", "kind": "expression", "math_text": "3 + (491 - 14) + (-476)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 491, \"c\": 14, \"d\": -476}", "seed": "3494576957650285523", "semantic_fingerprint": "sha256:5e434debb68a26dee5ea7ac3bd0ecfd9dd9a76ae20b46b3efeb64c0e884b4217", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002489", "prompt": "Calculate: -4 - (-54) / 5 - 30", "solution_steps": ["Divide: -54 / 5 = -54/5", "Subtract: -4 - (-54/5) = 34/5", "Subtract: 34/5 - 30 = -116/5"], "final_answer": "-116/5", "answer_type": "rational", "kind": "expression", "math_text": "-4 - (-54) / 5 - 30", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -54, \"c\": 5, \"d\": 30}", "seed": "17594907695466081150", "semantic_fingerprint": "sha256:fa4e5b36d79e99aef29258f191c379c0c3c2b1cd584f1301cfe74202a05f4ec8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002490", "prompt": "Calculate: 6 * 13 * (-62 / 7)", "solution_steps": ["Multiply: 6 * 13 = 78", "Divide: -62 / 7 = -62/7", "Multiply: 78 * (-62/7) = -4836/7"], "final_answer": "-4836/7", "answer_type": "rational", "kind": "expression", "math_text": "6 * 13 * (-62 / 7)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 13, \"c\": -62, \"d\": 7}", "seed": "9526807811462392674", "semantic_fingerprint": "sha256:09503454f640853652af814dbaf102a6c03034ad04ead598dfde803c3b509c5d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002491", "prompt": "Compute: 595 - (-944) / (-986) - (-6) - (-6)", "solution_steps": ["Divide: -944 / (-986) = 472/493", "Subtract: 595 - 472/493 = 292863/493", "Subtract: 292863/493 - (-6) = 295821/493", "Subtract: 295821/493 - (-6) = 298779/493"], "final_answer": "298779/493", "answer_type": "rational", "kind": "expression", "math_text": "595 - (-944) / (-986) - (-6) - (-6)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 595, \"b\": -944, \"c\": -986, \"d\": -6, \"e\": -6}", "seed": "6993763443992279187", "semantic_fingerprint": "sha256:d81d35a51fe9a80d5aa1018e68f66497a225adf95d759840b018826b5d567d46", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002492", "prompt": "What is -38 * (-13) / (91 / (80 - (-4))) + 79?", "solution_steps": ["Multiply: -38 * (-13) = 494", "Subtract: 80 - (-4) = 84", "Divide: 91 / 84 = 13/12", "Divide: 494 / (13/12) = 456", "Add: 456 + 79 = 535"], "final_answer": "535", "answer_type": "integer", "kind": "expression", "math_text": "-38 * (-13) / (91 / (80 - (-4))) + 79", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -13, \"c\": 91, \"d\": 80, \"e\": -4, \"f\": 79}", "seed": "539911695923589859", "semantic_fingerprint": "sha256:ca5af4b9ec9c70d7177d1e4e0f7683e1aa07f235d3b9718bc473b7e7be76fd17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002493", "prompt": "Calculate: 0 - (-19) - (-572 - (-9) + 66 * (-488))", "solution_steps": ["Subtract: 0 - (-19) = 19", "Subtract: -572 - (-9) = -563", "Multiply: 66 * (-488) = -32208", "Add: -563 + (-32208) = -32771", "Subtract: 19 - (-32771) = 32790"], "final_answer": "32790", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-19) - (-572 - (-9) + 66 * (-488))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (- n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -19, \"c\": -572, \"d\": -9, \"e\": 66, \"f\": -488}", "seed": "5322245203754914287", "semantic_fingerprint": "sha256:bbb7fe0a9731e81d37337af7582a247c6086658f9bf4c28417bf4a654175bf79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002494", "prompt": "Compute: -2 + (-35) - (-92 + 3 / (-48))", "solution_steps": ["Add: -2 + (-35) = -37", "Divide: 3 / (-48) = -1/16", "Add: -92 + (-1/16) = -1473/16", "Subtract: -37 - (-1473/16) = 881/16"], "final_answer": "881/16", "answer_type": "rational", "kind": "expression", "math_text": "-2 + (-35) - (-92 + 3 / (-48))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -35, \"c\": -92, \"d\": 3, \"e\": -48}", "seed": "8449866318752231223", "semantic_fingerprint": "sha256:c8b9fca44d3ac500c5dfe0a76474132944e803aed2dce8e4c97b77402bb22fe0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002495", "prompt": "Compute: -41 + (-1) * 61 - (953 - (7 - (-3)))", "solution_steps": ["Multiply: -1 * 61 = -61", "Add: -41 + (-61) = -102", "Subtract: 7 - (-3) = 10", "Subtract: 953 - 10 = 943", "Subtract: -102 - 943 = -1045"], "final_answer": "-1045", "answer_type": "integer", "kind": "expression", "math_text": "-41 + (-1) * 61 - (953 - (7 - (-3)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n n)) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -1, \"c\": 61, \"d\": 953, \"e\": 7, \"f\": -3}", "seed": "16737263921791457476", "semantic_fingerprint": "sha256:d1830670668d050901a07a71494fe6d89985840bdfe1764264635dca80315e26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002496", "prompt": "Solve for x: 11x = -3(x + 13) + 39", "solution_steps": ["Expand: 11x = -3x - 39 + 39", "Combine constants: 11x = -3x", "Add 3x to both sides: 14x = 0", "Divide both sides by 14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -3(x + 13) + 39", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -3, \"c\": 13, \"e\": 39, \"x\": 0}", "seed": "1865750840643778135", "semantic_fingerprint": "sha256:5545ed67a1fc7d155d2aef3d5099b166a9ac02fd1ca51bf80234b4d3061a85d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002497", "prompt": "Find x: 2x = 6(x + 311) - 67", "solution_steps": ["Expand: 2x = 6x + 1866 - 67", "Combine constants: 2x = 6x + 1799", "Subtract 6x from both sides: -4x = 1799", "Divide both sides by -4: x = -1799/4"], "final_answer": "-1799/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 6(x + 311) - 67", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 311, \"d\": 67}", "seed": "6831961714698154306", "semantic_fingerprint": "sha256:4f44c5d51045cc00775831abc27e4f0faece5af21eaa438328c63bf1aabd67f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002498", "prompt": "Find x: 11(x - 7) + 406 = 6(x + 59)", "solution_steps": ["Expand: 11x - 77 + 406 = 6(x + 59)", "Expand: 11x - 77 + 406 = 6x + 354", "Combine constants: 11x + 329 = 6x + 354", "Subtract 6x from both sides: 5x + 329 = 354", "Subtract 329 from both sides: 5x = 25", "Divide both sides by 5: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 7) + 406 = 6(x + 59)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 6, \"d\": 59, \"f\": 406, \"x\": 5}", "seed": "6613780267588787501", "semantic_fingerprint": "sha256:c79d65efcc3b5d5b8ac2428eb830002273a723d7b306bda2323a42c06008584b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002499", "prompt": "Find x: 10(x + 2) = 2(x - 481) + 982", "solution_steps": ["Expand: 10x + 20 = 2(x - 481) + 982", "Expand: 10x + 20 = 2x - 962 + 982", "Combine constants: 10x + 20 = 2x + 20", "Subtract 2x from both sides: 8x + 20 = 20", "Subtract 20 from both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) = 2(x - 481) + 982", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 2, \"d\": 481, \"f\": 982, \"x\": 0}", "seed": "3222273480690510738", "semantic_fingerprint": "sha256:33361e913e515a53aa48b258d30b6cd2f2b249c98701a2339e13ee23b18ffcc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002500", "prompt": "Solve for x: 9x = 11(x + 5) - 81", "solution_steps": ["Expand: 9x = 11x + 55 - 81", "Combine constants: 9x = 11x - 26", "Subtract 11x from both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 11(x + 5) - 81", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 5, \"e\": -81, \"x\": 13}", "seed": "1339796340632945527", "semantic_fingerprint": "sha256:5719d7767b8bc3e736309da4c91d9e218e58c53194f7b9b283864e81094b2874", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002501", "prompt": "What value of x satisfies -7x = 11(x + 9) - 369?", "solution_steps": ["Expand: -7x = 11x + 99 - 369", "Combine constants: -7x = 11x - 270", "Subtract 11x from both sides: -18x = -270", "Divide both sides by -18: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 11(x + 9) - 369", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 11, \"c\": 9, \"e\": -369, \"x\": 15}", "seed": "17925609257310275032", "semantic_fingerprint": "sha256:5a709ba6b091605c74c6e13037a91a7581bf7de3b7ac231b06cbc9216144a94d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002502", "prompt": "Compute: -61 / (2 / 143) + 0", "solution_steps": ["Divide: 2 / 143 = 2/143", "Divide: -61 / (2/143) = -8723/2", "Add: -8723/2 + 0 = -8723/2"], "final_answer": "-8723/2", "answer_type": "rational", "kind": "expression", "math_text": "-61 / (2 / 143) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 2, \"c\": 143, \"d\": 0}", "seed": "12757880892642682580", "semantic_fingerprint": "sha256:cceba176a832ca01d3853508bcd75c02139336489050223deaaebf7049154dae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002503", "prompt": "Evaluate: 627 - (-3) / 577 + (-603) - (-53 - 9)", "solution_steps": ["Divide: -3 / 577 = -3/577", "Subtract: 627 - (-3/577) = 361782/577", "Add: 361782/577 + (-603) = 13851/577", "Subtract: -53 - 9 = -62", "Subtract: 13851/577 - (-62) = 49625/577"], "final_answer": "49625/577", "answer_type": "rational", "kind": "expression", "math_text": "627 - (-3) / 577 + (-603) - (-53 - 9)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 627, \"b\": -3, \"c\": 577, \"d\": -603, \"e\": -53, \"f\": 9}", "seed": "13130086119490979217", "semantic_fingerprint": "sha256:4b9f38eefddba6b9d1d8d91045056395cb6cea5a9552d4b30c050f3013daa10e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002504", "prompt": "What value of x satisfies 10(x + 49) = -7(x - 8) + 111?", "solution_steps": ["Expand: 10x + 490 = -7(x - 8) + 111", "Expand: 10x + 490 = -7x + 56 + 111", "Combine constants: 10x + 490 = -7x + 167", "Add 7x to both sides: 17x + 490 = 167", "Subtract 490 from both sides: 17x = -323", "Divide both sides by 17: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 49) = -7(x - 8) + 111", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 49, \"c\": -7, \"d\": 8, \"f\": 111, \"x\": -19}", "seed": "15118175521774588137", "semantic_fingerprint": "sha256:8da7810b9674525f026297e4ccf9df82e988737dfeb4e29665669ec9852e64b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002505", "prompt": "Find x: 11(x + 73) = -8(x - 54) + 10", "solution_steps": ["Expand: 11x + 803 = -8(x - 54) + 10", "Expand: 11x + 803 = -8x + 432 + 10", "Combine constants: 11x + 803 = -8x + 442", "Add 8x to both sides: 19x + 803 = 442", "Subtract 803 from both sides: 19x = -361", "Divide both sides by 19: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 73) = -8(x - 54) + 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 73, \"c\": -8, \"d\": 54, \"f\": 10, \"x\": -19}", "seed": "2280157856197762469", "semantic_fingerprint": "sha256:87c85a723e39ef2d30a1f7a3333c0aa7f022e039ecf7f5568e2e494154735bf1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002506", "prompt": "Evaluate: -190 * 2 * (96 / (-84))", "solution_steps": ["Multiply: -190 * 2 = -380", "Divide: 96 / (-84) = -8/7", "Multiply: -380 * (-8/7) = 3040/7"], "final_answer": "3040/7", "answer_type": "rational", "kind": "expression", "math_text": "-190 * 2 * (96 / (-84))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -190, \"b\": 2, \"c\": 96, \"d\": -84}", "seed": "3920733312011907771", "semantic_fingerprint": "sha256:a39713ea5e0ba8a7d225d665a7a311ca84acb87c95b308412b043e72005a8f56", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002507", "prompt": "Solve the equation -12(x + 27) + 123 = x + 2 for x.", "solution_steps": ["Expand: -12x - 324 + 123 = x + 2", "Combine constants: -12x - 201 = x + 2", "Subtract x from both sides: -13x - 201 = 2", "Add 201 to both sides: -13x = 203", "Divide both sides by -13: x = -203/13"], "final_answer": "-203/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 27) + 123 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 27, \"c\": 123, \"d\": 2}", "seed": "13354693394318819296", "semantic_fingerprint": "sha256:3400340351bfe1d1350cb14c5b722fd46a459a0109b503dbfe229dc11af2005a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002508", "prompt": "Evaluate: 201 / (-53 / (-9 * 2) * (-97))", "solution_steps": ["Multiply: -9 * 2 = -18", "Divide: -53 / (-18) = 53/18", "Multiply: (53/18) * (-97) = -5141/18", "Divide: 201 / (-5141/18) = -3618/5141"], "final_answer": "-3618/5141", "answer_type": "rational", "kind": "expression", "math_text": "201 / (-53 / (-9 * 2) * (-97))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 201, \"b\": -53, \"c\": -9, \"d\": 2, \"e\": -97}", "seed": "3345327461020097756", "semantic_fingerprint": "sha256:37df12352444abd1fa1e57b417146ec69f72de13cfcf66c7e2f814ee9be75aba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002509", "prompt": "Evaluate: (270 + (-429)) / (-7) + (-315 / 18 - (-165))", "solution_steps": ["Add: 270 + (-429) = -159", "Divide: -159 / (-7) = 159/7", "Divide: -315 / 18 = -35/2", "Subtract: -35/2 - (-165) = 295/2", "Add: 159/7 + 295/2 = 2383/14"], "final_answer": "2383/14", "answer_type": "rational", "kind": "expression", "math_text": "(270 + (-429)) / (-7) + (-315 / 18 - (-165))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 270, \"b\": -429, \"c\": -7, \"d\": -315, \"e\": 18, \"f\": -165}", "seed": "14817172732966693189", "semantic_fingerprint": "sha256:4be61364010d4b61fe0540bdafe89ae13821116b7435419a975f7693d275eaf1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002510", "prompt": "Evaluate: -84 * (-876) + (-20 - (-15))", "solution_steps": ["Multiply: -84 * (-876) = 73584", "Subtract: -20 - (-15) = -5", "Add: 73584 + (-5) = 73579"], "final_answer": "73579", "answer_type": "integer", "kind": "expression", "math_text": "-84 * (-876) + (-20 - (-15))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -876, \"c\": -20, \"d\": -15}", "seed": "16266511551204781118", "semantic_fingerprint": "sha256:cd51478522ed807f891b5bc5fb925ed3922ea358256bafbb2ea2d8879ead1aef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002511", "prompt": "Solve the equation 3x - 207 = 12(x - 3) for x.", "solution_steps": ["Expand: 3x - 207 = 12x - 36", "Subtract 12x from both sides: -9x - 207 = -36", "Add 207 to both sides: -9x = 171", "Divide both sides by -9: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 207 = 12(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 12, \"c\": 3, \"e\": -207, \"x\": -19}", "seed": "10870683414587617964", "semantic_fingerprint": "sha256:bd8e59e6424c87ef8f08231895658254edc8a9d7c495d4650657af3da93ad150", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002512", "prompt": "Solve the equation -2x = 5(x + 37) - 417 for x.", "solution_steps": ["Expand: -2x = 5x + 185 - 417", "Combine constants: -2x = 5x - 232", "Subtract 5x from both sides: -7x = -232", "Divide both sides by -7: x = 232/7"], "final_answer": "232/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x = 5(x + 37) - 417", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 37, \"d\": 417}", "seed": "2499641949633757865", "semantic_fingerprint": "sha256:e336e2e6d14f09769bd17b02dd38181db3c194c73bdb9562a4b697717bb7b8aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002513", "prompt": "Compute: (-4 - 3) / (7 * (-65) + 36)", "solution_steps": ["Subtract: -4 - 3 = -7", "Multiply: 7 * (-65) = -455", "Add: -455 + 36 = -419", "Divide: -7 / (-419) = 7/419"], "final_answer": "7/419", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - 3) / (7 * (-65) + 36)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 7, \"d\": -65, \"e\": 36}", "seed": "15426778254244624483", "semantic_fingerprint": "sha256:9ebd21bfd244c10228dc793ca1c48c57bea1316374e6a01015e15bbe0ba93dfc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002514", "prompt": "Evaluate: 3 * 12 + 372 * 8", "solution_steps": ["Multiply: 3 * 12 = 36", "Multiply: 372 * 8 = 2976", "Add: 36 + 2976 = 3012"], "final_answer": "3012", "answer_type": "integer", "kind": "expression", "math_text": "3 * 12 + 372 * 8", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 12, \"c\": 372, \"d\": 8}", "seed": "13751078530079817923", "semantic_fingerprint": "sha256:31aa51723be8025a3b670b7454195ffefd3eaac731f1225148a204d47b81ddca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002515", "prompt": "Solve for x: 2x - 698 = 10x - 794", "solution_steps": ["Subtract 10x from both sides: -8x - 698 = -794", "Add 698 to both sides: -8x = -96", "Divide both sides by -8: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 698 = 10x - 794", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 698, \"c\": 10, \"e\": -794, \"x\": 12}", "seed": "16724082242276769533", "semantic_fingerprint": "sha256:fe0058270a67d64a2bce17a0aa7cebef81e17b0e40f193aafca7df1f55e7195f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002516", "prompt": "Find x: -5(x - 6) - 4 = x + 20", "solution_steps": ["Expand: -5x + 30 - 4 = x + 20", "Combine constants: -5x + 26 = x + 20", "Subtract x from both sides: -6x + 26 = 20", "Subtract 26 from both sides: -6x = -6", "Divide both sides by -6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 6) - 4 = x + 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 4, \"e\": 20, \"x\": 1}", "seed": "15963319616006795652", "semantic_fingerprint": "sha256:52057689c2f79c3cb2c43ba0926b0a84fe81c5238c50fe4b2b37535cb4f267f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002517", "prompt": "Evaluate: 70 + (45 - 847) + (-85)", "solution_steps": ["Subtract: 45 - 847 = -802", "Add: 70 + (-802) = -732", "Add: -732 + (-85) = -817"], "final_answer": "-817", "answer_type": "integer", "kind": "expression", "math_text": "70 + (45 - 847) + (-85)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 45, \"c\": 847, \"d\": -85}", "seed": "5449070852635833322", "semantic_fingerprint": "sha256:b73bbf75e873eaba7a6129116b5639a458f1f21275c59ae1f1063673cd1f8f12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002518", "prompt": "Solve for x: 7(x + 52) = 9(x - 5) + 411", "solution_steps": ["Expand: 7x + 364 = 9(x - 5) + 411", "Expand: 7x + 364 = 9x - 45 + 411", "Combine constants: 7x + 364 = 9x + 366", "Subtract 9x from both sides: -2x + 364 = 366", "Subtract 364 from both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 52) = 9(x - 5) + 411", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 52, \"c\": 9, \"d\": 5, \"f\": 411, \"x\": -1}", "seed": "11440261212732819914", "semantic_fingerprint": "sha256:6ab6f1fde69b0c41414489dffd1c66bff655aac2fd666833bf9878b3b7b4e952", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002519", "prompt": "Solve for x: 7x = 8(x + 40) - 337", "solution_steps": ["Expand: 7x = 8x + 320 - 337", "Combine constants: 7x = 8x - 17", "Subtract 8x from both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 8(x + 40) - 337", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 40, \"e\": -337, \"x\": 17}", "seed": "4643043607672749360", "semantic_fingerprint": "sha256:387f9df6472b28c52d963eb2e9a61187e468c838c90a87c611bff346d81c1c25", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002520", "prompt": "What value of x satisfies -11x - 6 = 12x - 121?", "solution_steps": ["Subtract 12x from both sides: -23x - 6 = -121", "Add 6 to both sides: -23x = -115", "Divide both sides by -23: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 6 = 12x - 121", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 12, \"e\": -121, \"x\": 5}", "seed": "16098253613511870585", "semantic_fingerprint": "sha256:6e7297654897a6971925a5d0be38e828327bc53f3c6cadc18b4c3d5d166ec4ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002521", "prompt": "Solve the equation 2x = 10(x + 4) + 40 for x.", "solution_steps": ["Expand: 2x = 10x + 40 + 40", "Combine constants: 2x = 10x + 80", "Subtract 10x from both sides: -8x = 80", "Divide both sides by -8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 10(x + 4) + 40", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 4, \"e\": 40, \"x\": -10}", "seed": "10049749237597098250", "semantic_fingerprint": "sha256:cd1b6e8c3feda81e57e427ded7c57529bcc84279a570f55401e339410ed7dcfe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002522", "prompt": "Solve for x: 4(x + 36) + 8 = x + 191", "solution_steps": ["Expand: 4x + 144 + 8 = x + 191", "Combine constants: 4x + 152 = x + 191", "Subtract x from both sides: 3x + 152 = 191", "Subtract 152 from both sides: 3x = 39", "Divide both sides by 3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 36) + 8 = x + 191", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 36, \"c\": 8, \"e\": 191, \"x\": 13}", "seed": "8488052782598594174", "semantic_fingerprint": "sha256:d6de8e6aa312b8ac0e703915ab897252c54b4e97cc6de6bde35c8d4729f8dd60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002523", "prompt": "What value of x satisfies 2x = 6(x + 3) - 50?", "solution_steps": ["Expand: 2x = 6x + 18 - 50", "Combine constants: 2x = 6x - 32", "Subtract 6x from both sides: -4x = -32", "Divide both sides by -4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 6(x + 3) - 50", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 3, \"e\": -50, \"x\": 8}", "seed": "14840143053590379670", "semantic_fingerprint": "sha256:dcb0a3065f7b268bcc68392193cc7ad9bd937a75022f70996003ba7a2c232e0c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002524", "prompt": "What is -21 * 8 * (4 / 44)?", "solution_steps": ["Multiply: -21 * 8 = -168", "Divide: 4 / 44 = 1/11", "Multiply: -168 * (1/11) = -168/11"], "final_answer": "-168/11", "answer_type": "rational", "kind": "expression", "math_text": "-21 * 8 * (4 / 44)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 8, \"c\": 4, \"d\": 44}", "seed": "3402566052453116100", "semantic_fingerprint": "sha256:8fe7cd90cd40cc43dba0c1edcae83f7823d26d10be6f9c619b4073b9d435506e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002525", "prompt": "Calculate: (-63 - (-836) / (-95)) * (441 / 976)", "solution_steps": ["Divide: -836 / (-95) = 44/5", "Subtract: -63 - 44/5 = -359/5", "Divide: 441 / 976 = 441/976", "Multiply: (-359/5) * (441/976) = -158319/4880"], "final_answer": "-158319/4880", "answer_type": "rational", "kind": "expression", "math_text": "(-63 - (-836) / (-95)) * (441 / 976)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -836, \"c\": -95, \"d\": 441, \"e\": 976}", "seed": "7015117368038461436", "semantic_fingerprint": "sha256:30e2b6eeb64234bf6a0ea877b8fcbb4f9906a490889bdaf1631e84b3a2090cf0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002526", "prompt": "Solve for x: -6x = -9(x + 88) + 840", "solution_steps": ["Expand: -6x = -9x - 792 + 840", "Combine constants: -6x = -9x + 48", "Add 9x to both sides: 3x = 48", "Divide both sides by 3: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = -9(x + 88) + 840", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": 88, \"e\": 840, \"x\": 16}", "seed": "17342948350949422360", "semantic_fingerprint": "sha256:045e98ca1f8e5097ca6c679ef57d35ba9b34ff6d08849adcb5e9604fb2153741", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002527", "prompt": "Compute: (-417 * (-477) + (-18) * 926) / 16", "solution_steps": ["Multiply: -417 * (-477) = 198909", "Multiply: -18 * 926 = -16668", "Add: 198909 + (-16668) = 182241", "Divide: 182241 / 16 = 182241/16"], "final_answer": "182241/16", "answer_type": "rational", "kind": "expression", "math_text": "(-417 * (-477) + (-18) * 926) / 16", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -417, \"b\": -477, \"c\": -18, \"d\": 926, \"e\": 16}", "seed": "16899940494321561230", "semantic_fingerprint": "sha256:d6d191f3bc9ecc9a1b3ee331313388957e6e57a1d10cb1ea47c7958b6aa07d8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002528", "prompt": "What value of x satisfies 6(x - 98) + 84 = -7(x + 41)?", "solution_steps": ["Expand: 6x - 588 + 84 = -7(x + 41)", "Expand: 6x - 588 + 84 = -7x - 287", "Combine constants: 6x - 504 = -7x - 287", "Add 7x to both sides: 13x - 504 = -287", "Add 504 to both sides: 13x = 217", "Divide both sides by 13: x = 217/13"], "final_answer": "217/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 98) + 84 = -7(x + 41)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 98, \"c\": 84, \"d\": -7, \"e\": 41}", "seed": "11750223316359734084", "semantic_fingerprint": "sha256:4ab16ee467926d082f671738f3f9f2deb87f8db7f9c2a5d119f802664080dce8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002529", "prompt": "What value of x satisfies 10(x - 7) + 96 = 5(x + 34)?", "solution_steps": ["Expand: 10x - 70 + 96 = 5(x + 34)", "Expand: 10x - 70 + 96 = 5x + 170", "Combine constants: 10x + 26 = 5x + 170", "Subtract 5x from both sides: 5x + 26 = 170", "Subtract 26 from both sides: 5x = 144", "Divide both sides by 5: x = 144/5"], "final_answer": "144/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 7) + 96 = 5(x + 34)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 96, \"d\": 5, \"e\": 34}", "seed": "16262081924663434892", "semantic_fingerprint": "sha256:4b73812fb6027f85b6cec167d309d17ae1430a58bf94aaf2ea6f256eec9f16b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002530", "prompt": "Solve the equation 2x = 9(x + 2) - 46 for x.", "solution_steps": ["Expand: 2x = 9x + 18 - 46", "Combine constants: 2x = 9x - 28", "Subtract 9x from both sides: -7x = -28", "Divide both sides by -7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 9(x + 2) - 46", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 2, \"e\": -46, \"x\": 4}", "seed": "15374413658966000844", "semantic_fingerprint": "sha256:525eea927b5724f6010694cfad281881bc8953032553d62a8d94da5b870ce6bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002531", "prompt": "What is 4 * ((0 * (-5) - (-90 - 20)) * (-10))?", "solution_steps": ["Multiply: 0 * (-5) = 0", "Subtract: -90 - 20 = -110", "Subtract: 0 - (-110) = 110", "Multiply: 110 * (-10) = -1100", "Multiply: 4 * (-1100) = -4400"], "final_answer": "-4400", "answer_type": "integer", "kind": "expression", "math_text": "4 * ((0 * (-5) - (-90 - 20)) * (-10))", "variable": null, "family": "expression_5op", "shape": "(* n (* (- (* n n) (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": -5, \"d\": -90, \"e\": 20, \"f\": -10}", "seed": "4523456863653895341", "semantic_fingerprint": "sha256:0190bccf90976638b143c519ad6d6752f5e537374337cb3b0e9dd5e5e6434916", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002532", "prompt": "Solve for x: 12(x - 7) - 3 = x + 45", "solution_steps": ["Expand: 12x - 84 - 3 = x + 45", "Combine constants: 12x - 87 = x + 45", "Subtract x from both sides: 11x - 87 = 45", "Add 87 to both sides: 11x = 132", "Divide both sides by 11: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 7) - 3 = x + 45", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 3, \"e\": 45, \"x\": 12}", "seed": "1695135864048493525", "semantic_fingerprint": "sha256:5f08b24b19fbb8179aa43d7f6d20e3d594f87a72d50573afa6114b24468e3778", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002533", "prompt": "Solve the equation 10(x + 2) - 1 = x + 37 for x.", "solution_steps": ["Expand: 10x + 20 - 1 = x + 37", "Combine constants: 10x + 19 = x + 37", "Subtract x from both sides: 9x + 19 = 37", "Subtract 19 from both sides: 9x = 18", "Divide both sides by 9: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) - 1 = x + 37", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 1, \"e\": 37, \"x\": 2}", "seed": "9832925397164372837", "semantic_fingerprint": "sha256:cf0e27bf2ecbc851ac8da041696dfc2c8980e5b1bb4c2aee02cb58595232e7b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002534", "prompt": "Find x: 10(x + 59) + 750 = x + 798", "solution_steps": ["Expand: 10x + 590 + 750 = x + 798", "Combine constants: 10x + 1340 = x + 798", "Subtract x from both sides: 9x + 1340 = 798", "Subtract 1340 from both sides: 9x = -542", "Divide both sides by 9: x = -542/9"], "final_answer": "-542/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 59) + 750 = x + 798", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 59, \"c\": 750, \"d\": 798}", "seed": "1631519329335770989", "semantic_fingerprint": "sha256:b0614d1e64de029999fbcf9de2c4b3ad2e02e7377af22b3474bec784d652f035", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002535", "prompt": "Evaluate: (14 + (-61)) / 4 + (-275)", "solution_steps": ["Add: 14 + (-61) = -47", "Divide: -47 / 4 = -47/4", "Add: -47/4 + (-275) = -1147/4"], "final_answer": "-1147/4", "answer_type": "rational", "kind": "expression", "math_text": "(14 + (-61)) / 4 + (-275)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -61, \"c\": 4, \"d\": -275}", "seed": "10852485589027454227", "semantic_fingerprint": "sha256:997222ae77a61d12b06b52723fdfadc94480a569c735efc623c6dd1e2b03f22b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002536", "prompt": "Compute: (-743 - (-63) * 202) / (-93)", "solution_steps": ["Multiply: -63 * 202 = -12726", "Subtract: -743 - (-12726) = 11983", "Divide: 11983 / (-93) = -11983/93"], "final_answer": "-11983/93", "answer_type": "rational", "kind": "expression", "math_text": "(-743 - (-63) * 202) / (-93)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -743, \"b\": -63, \"c\": 202, \"d\": -93}", "seed": "1206068353887246154", "semantic_fingerprint": "sha256:a477c8f0509006b944084c83a1df5325ad62a8e2214aec575f18054f3f472c23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002537", "prompt": "Solve for x: 2(x - 745) + 3 = 7(x + 100)", "solution_steps": ["Expand: 2x - 1490 + 3 = 7(x + 100)", "Expand: 2x - 1490 + 3 = 7x + 700", "Combine constants: 2x - 1487 = 7x + 700", "Subtract 7x from both sides: -5x - 1487 = 700", "Add 1487 to both sides: -5x = 2187", "Divide both sides by -5: x = -2187/5"], "final_answer": "-2187/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 745) + 3 = 7(x + 100)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 745, \"c\": 3, \"d\": 7, \"e\": 100}", "seed": "520656760890574100", "semantic_fingerprint": "sha256:6332f0b518bf17d136cff4065d0613a61f0d604fb0dc634e2fae13547f09225d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002538", "prompt": "Calculate: 68 + 6 / (404 * (-53 / (-860 - 4)))", "solution_steps": ["Subtract: -860 - 4 = -864", "Divide: -53 / (-864) = 53/864", "Multiply: 404 * (53/864) = 5353/216", "Divide: 6 / (5353/216) = 1296/5353", "Add: 68 + 1296/5353 = 365300/5353"], "final_answer": "365300/5353", "answer_type": "rational", "kind": "expression", "math_text": "68 + 6 / (404 * (-53 / (-860 - 4)))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (* n (/ n (- n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 6, \"c\": 404, \"d\": -53, \"e\": -860, \"f\": 4}", "seed": "8082296592664939072", "semantic_fingerprint": "sha256:690652919574075b1391b11a1dab7d41b8b1e611f8fc6aea13d0ff23a7cd688a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002539", "prompt": "Calculate: 107 * 5 + (-2) * (-8)", "solution_steps": ["Multiply: 107 * 5 = 535", "Multiply: -2 * (-8) = 16", "Add: 535 + 16 = 551"], "final_answer": "551", "answer_type": "integer", "kind": "expression", "math_text": "107 * 5 + (-2) * (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 107, \"b\": 5, \"c\": -2, \"d\": -8}", "seed": "15701147663759076463", "semantic_fingerprint": "sha256:0636d77379d8d9bd788be13d14eb077d8f1d056409a43e54a48c24553d3c78d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002540", "prompt": "Solve the equation 10x = -4(x + 4) + 128 for x.", "solution_steps": ["Expand: 10x = -4x - 16 + 128", "Combine constants: 10x = -4x + 112", "Add 4x to both sides: 14x = 112", "Divide both sides by 14: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -4(x + 4) + 128", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -4, \"c\": 4, \"e\": 128, \"x\": 8}", "seed": "7230584488805998005", "semantic_fingerprint": "sha256:95544d7fc45531e7c39424886c7c0a7abc509ba696277225e662f2f494af101b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002541", "prompt": "Find x: 7x - 86 = -7x - 198", "solution_steps": ["Add 7x to both sides: 14x - 86 = -198", "Add 86 to both sides: 14x = -112", "Divide both sides by 14: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 86 = -7x - 198", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 86, \"c\": -7, \"e\": -198, \"x\": -8}", "seed": "18202104659235611735", "semantic_fingerprint": "sha256:c7b65aca8a897b991bc8d41e5c379c341dc977bc2253774bfb197f843fe557ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002542", "prompt": "Compute: 2 * (2 + 4 * 62)", "solution_steps": ["Multiply: 4 * 62 = 248", "Add: 2 + 248 = 250", "Multiply: 2 * 250 = 500"], "final_answer": "500", "answer_type": "integer", "kind": "expression", "math_text": "2 * (2 + 4 * 62)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 4, \"d\": 62}", "seed": "11167816529292497381", "semantic_fingerprint": "sha256:6e088fe24720702b38444a5aee186cee6e66b339ba9b4952471f4ca19c58b90a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002543", "prompt": "What value of x satisfies 4x = 10(x + 53) + 9?", "solution_steps": ["Expand: 4x = 10x + 530 + 9", "Combine constants: 4x = 10x + 539", "Subtract 10x from both sides: -6x = 539", "Divide both sides by -6: x = -539/6"], "final_answer": "-539/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = 10(x + 53) + 9", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 10, \"c\": 53, \"d\": 9}", "seed": "13922751978188430952", "semantic_fingerprint": "sha256:08fd0a24edd79b82dd092782aedec6377944c72eb0b20590a75aeec556d8219e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002544", "prompt": "Find x: 4x - 81 = 8x - 121", "solution_steps": ["Subtract 8x from both sides: -4x - 81 = -121", "Add 81 to both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 81 = 8x - 121", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 81, \"c\": 8, \"e\": -121, \"x\": 10}", "seed": "13940417897350897246", "semantic_fingerprint": "sha256:b6e59770ad07d930e492309c84b4358507bbe44b97ce8cddd445570ac0065877", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002545", "prompt": "What is 0 * ((-81 + 66) / (144 / 33))?", "solution_steps": ["Add: -81 + 66 = -15", "Divide: 144 / 33 = 48/11", "Divide: -15 / (48/11) = -55/16", "Multiply: 0 * (-55/16) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * ((-81 + 66) / (144 / 33))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -81, \"c\": 66, \"d\": 144, \"e\": 33}", "seed": "15519354196770512892", "semantic_fingerprint": "sha256:c945a27fc41a0c1d3c2184af79b0b290f196a9f08879a979e01c83d6b6fd9073", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002546", "prompt": "What is (-26 + 8) * (97 + (798 - (-383))) + 3?", "solution_steps": ["Add: -26 + 8 = -18", "Subtract: 798 - (-383) = 1181", "Add: 97 + 1181 = 1278", "Multiply: -18 * 1278 = -23004", "Add: -23004 + 3 = -23001"], "final_answer": "-23001", "answer_type": "integer", "kind": "expression", "math_text": "(-26 + 8) * (97 + (798 - (-383))) + 3", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) (+ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 8, \"c\": 97, \"d\": 798, \"e\": -383, \"f\": 3}", "seed": "1290698771658528363", "semantic_fingerprint": "sha256:bec2d04d810a2076f943ccfc2be18ae34bbfc499e66c2a61ef3d59842c35b943", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002547", "prompt": "Evaluate: 92 + (95 - (-919)) * (-592 + 86)", "solution_steps": ["Subtract: 95 - (-919) = 1014", "Add: -592 + 86 = -506", "Multiply: 1014 * (-506) = -513084", "Add: 92 + (-513084) = -512992"], "final_answer": "-512992", "answer_type": "integer", "kind": "expression", "math_text": "92 + (95 - (-919)) * (-592 + 86)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 95, \"c\": -919, \"d\": -592, \"e\": 86}", "seed": "14427950396234323230", "semantic_fingerprint": "sha256:d61287330fc9b0e482b3c495035f4f693cd37efd55a21dbe3405cfe967ed4a55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002548", "prompt": "Solve the equation 11x = -7(x + 3) + 165 for x.", "solution_steps": ["Expand: 11x = -7x - 21 + 165", "Combine constants: 11x = -7x + 144", "Add 7x to both sides: 18x = 144", "Divide both sides by 18: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -7(x + 3) + 165", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -7, \"c\": 3, \"e\": 165, \"x\": 8}", "seed": "3649005455008851329", "semantic_fingerprint": "sha256:9edc615968e94247a954bc350d3be812e3430c8fc455bbf3fe7a678603f3b2b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002549", "prompt": "Solve the equation -2(x - 29) - 6 = x + 100 for x.", "solution_steps": ["Expand: -2x + 58 - 6 = x + 100", "Combine constants: -2x + 52 = x + 100", "Subtract x from both sides: -3x + 52 = 100", "Subtract 52 from both sides: -3x = 48", "Divide both sides by -3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 29) - 6 = x + 100", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 29, \"c\": 6, \"e\": 100, \"x\": -16}", "seed": "2716096821940703108", "semantic_fingerprint": "sha256:89c43aafad89280f5805f5cb00fedab3eb75570eb6d891a8ad443e61a5393018", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002550", "prompt": "Solve for x: 12x - 27 = 3(x - 42)", "solution_steps": ["Expand: 12x - 27 = 3x - 126", "Subtract 3x from both sides: 9x - 27 = -126", "Add 27 to both sides: 9x = -99", "Divide both sides by 9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 27 = 3(x - 42)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 42, \"e\": -27, \"x\": -11}", "seed": "12566056803875655150", "semantic_fingerprint": "sha256:6be74028b1dd6306c7b726a16afdd64b2d3ac001c7f94d5b1084bdd75f5d9973", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002551", "prompt": "What is -3 / 729 * (7 / 8)?", "solution_steps": ["Divide: -3 / 729 = -1/243", "Divide: 7 / 8 = 7/8", "Multiply: (-1/243) * (7/8) = -7/1944"], "final_answer": "-7/1944", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 729 * (7 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 729, \"c\": 7, \"d\": 8}", "seed": "8780138522687121982", "semantic_fingerprint": "sha256:bceff2fd4b0fb5378e534ea6f69af90c6cb62a48d1896eec6abdfa91427eb975", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002552", "prompt": "Solve for x: -3(x - 3) + 385 = 10(x + 16)", "solution_steps": ["Expand: -3x + 9 + 385 = 10(x + 16)", "Expand: -3x + 9 + 385 = 10x + 160", "Combine constants: -3x + 394 = 10x + 160", "Subtract 10x from both sides: -13x + 394 = 160", "Subtract 394 from both sides: -13x = -234", "Divide both sides by -13: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 3) + 385 = 10(x + 16)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 10, \"d\": 16, \"f\": 385, \"x\": 18}", "seed": "11661888924563978772", "semantic_fingerprint": "sha256:6aa0ffa6c04ec6f722a887b8352c617073e4b9cc8670a71c2b970542dfd39804", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002553", "prompt": "Solve the equation -9x = 6(x + 422) + 745 for x.", "solution_steps": ["Expand: -9x = 6x + 2532 + 745", "Combine constants: -9x = 6x + 3277", "Subtract 6x from both sides: -15x = 3277", "Divide both sides by -15: x = -3277/15"], "final_answer": "-3277/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = 6(x + 422) + 745", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 422, \"d\": 745}", "seed": "16739668659413828404", "semantic_fingerprint": "sha256:95bb2e864f04e015751bd14a1cf5c2b054806221143845f3ddf3625afbd686c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002554", "prompt": "Calculate: 50 + (-59 - (540 + 7))", "solution_steps": ["Add: 540 + 7 = 547", "Subtract: -59 - 547 = -606", "Add: 50 + (-606) = -556"], "final_answer": "-556", "answer_type": "integer", "kind": "expression", "math_text": "50 + (-59 - (540 + 7))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -59, \"c\": 540, \"d\": 7}", "seed": "18095885560884750315", "semantic_fingerprint": "sha256:7a98b3057f0f8a806fc326b2c98084af2d6f0319272e3adfebf2bf2a5536112c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002555", "prompt": "What is 25 * 617 * (-96 / (-6))?", "solution_steps": ["Multiply: 25 * 617 = 15425", "Divide: -96 / (-6) = 16", "Multiply: 15425 * 16 = 246800"], "final_answer": "246800", "answer_type": "integer", "kind": "expression", "math_text": "25 * 617 * (-96 / (-6))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 617, \"c\": -96, \"d\": -6}", "seed": "14331968140802212620", "semantic_fingerprint": "sha256:2aea63ddcab0c043c668b5dd48959a92febad257f033e9e23e6afde5e197235e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002556", "prompt": "Compute: (78 / (-4) - 0) * 80", "solution_steps": ["Divide: 78 / (-4) = -39/2", "Subtract: -39/2 - 0 = -39/2", "Multiply: (-39/2) * 80 = -1560"], "final_answer": "-1560", "answer_type": "integer", "kind": "expression", "math_text": "(78 / (-4) - 0) * 80", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -4, \"c\": 0, \"d\": 80}", "seed": "10846014464290073956", "semantic_fingerprint": "sha256:58f9f1520766143f803e61ff27e7cdb800b0f37d10bc6a8d5af622aec30b45ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002557", "prompt": "Evaluate: -49 / 9 / (5 + (-290) / 37)", "solution_steps": ["Divide: -49 / 9 = -49/9", "Divide: -290 / 37 = -290/37", "Add: 5 + (-290/37) = -105/37", "Divide: (-49/9) / (-105/37) = 259/135"], "final_answer": "259/135", "answer_type": "rational", "kind": "expression", "math_text": "-49 / 9 / (5 + (-290) / 37)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 9, \"c\": 5, \"d\": -290, \"e\": 37}", "seed": "2624396675096564775", "semantic_fingerprint": "sha256:ddbc0def47094943af57e49f92a8c0fcbd3d4b9654a8f4a387b0323d47ec6a13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002558", "prompt": "Calculate: -26 + (-67 - (8 + 84))", "solution_steps": ["Add: 8 + 84 = 92", "Subtract: -67 - 92 = -159", "Add: -26 + (-159) = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "expression", "math_text": "-26 + (-67 - (8 + 84))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -67, \"c\": 8, \"d\": 84}", "seed": "1842751050996058878", "semantic_fingerprint": "sha256:f7bc68402503004117fa0ee10d605f237f999ff34a25c3fc52cea9420740b1de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002559", "prompt": "What value of x satisfies -10(x + 7) - 6 = x + 8?", "solution_steps": ["Expand: -10x - 70 - 6 = x + 8", "Combine constants: -10x - 76 = x + 8", "Subtract x from both sides: -11x - 76 = 8", "Add 76 to both sides: -11x = 84", "Divide both sides by -11: x = -84/11"], "final_answer": "-84/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 7) - 6 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 6, \"d\": 8}", "seed": "16207118173592531273", "semantic_fingerprint": "sha256:9831bca7de70c27c0bb80fc0f0298dee346cffa9293710bb9688de18430decce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002560", "prompt": "Evaluate: 63 * 73 * (-35 / (-5))", "solution_steps": ["Multiply: 63 * 73 = 4599", "Divide: -35 / (-5) = 7", "Multiply: 4599 * 7 = 32193"], "final_answer": "32193", "answer_type": "integer", "kind": "expression", "math_text": "63 * 73 * (-35 / (-5))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 73, \"c\": -35, \"d\": -5}", "seed": "4046952458007690641", "semantic_fingerprint": "sha256:4ceac87b8821ab9113afd97640c4459f2eb1d48f7233de33b8ef284ea97d3673", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002561", "prompt": "What value of x satisfies 12(x + 25) - 197 = x + 517?", "solution_steps": ["Expand: 12x + 300 - 197 = x + 517", "Combine constants: 12x + 103 = x + 517", "Subtract x from both sides: 11x + 103 = 517", "Subtract 103 from both sides: 11x = 414", "Divide both sides by 11: x = 414/11"], "final_answer": "414/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 25) - 197 = x + 517", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 25, \"c\": 197, \"d\": 517}", "seed": "2909128005707738586", "semantic_fingerprint": "sha256:0b804adf13143130aaca51c108f95d352b0fe0290abfbcc51b549cf96e1909c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002562", "prompt": "Evaluate: (90 + (-25)) / (-43) + 79", "solution_steps": ["Add: 90 + (-25) = 65", "Divide: 65 / (-43) = -65/43", "Add: -65/43 + 79 = 3332/43"], "final_answer": "3332/43", "answer_type": "rational", "kind": "expression", "math_text": "(90 + (-25)) / (-43) + 79", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -25, \"c\": -43, \"d\": 79}", "seed": "9132513616102044366", "semantic_fingerprint": "sha256:beb96f7bc1f6cfce5170a9047eb1b4c8eefe63b403f32c6162444fc6eff75c29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002563", "prompt": "Calculate: -6 + 54 - 841 / (-15 * 5) + 4", "solution_steps": ["Add: -6 + 54 = 48", "Multiply: -15 * 5 = -75", "Divide: 841 / (-75) = -841/75", "Subtract: 48 - (-841/75) = 4441/75", "Add: 4441/75 + 4 = 4741/75"], "final_answer": "4741/75", "answer_type": "rational", "kind": "expression", "math_text": "-6 + 54 - 841 / (-15 * 5) + 4", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (/ n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 54, \"c\": 841, \"d\": -15, \"e\": 5, \"f\": 4}", "seed": "7948264750272273402", "semantic_fingerprint": "sha256:24e4e1529016630869f3d6a94dc56668cfb7d2376fc12e357e9de97cb0d31e32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002564", "prompt": "Solve for x: -12(x - 3) + 448 = 4(x + 57)", "solution_steps": ["Expand: -12x + 36 + 448 = 4(x + 57)", "Expand: -12x + 36 + 448 = 4x + 228", "Combine constants: -12x + 484 = 4x + 228", "Subtract 4x from both sides: -16x + 484 = 228", "Subtract 484 from both sides: -16x = -256", "Divide both sides by -16: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 3) + 448 = 4(x + 57)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 4, \"d\": 57, \"f\": 448, \"x\": 16}", "seed": "7406855327429475109", "semantic_fingerprint": "sha256:3e105cb728a68d0c6476672b95a53c1e9e00bf1f4e70c3188a622447984b3386", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002565", "prompt": "Find x: 9(x - 9) + 9 = 8(x + 31)", "solution_steps": ["Expand: 9x - 81 + 9 = 8(x + 31)", "Expand: 9x - 81 + 9 = 8x + 248", "Combine constants: 9x - 72 = 8x + 248", "Subtract 8x from both sides: x - 72 = 248", "Add 72 to both sides: x = 320"], "final_answer": "320", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 9) + 9 = 8(x + 31)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 9, \"d\": 8, \"e\": 31}", "seed": "16060141211514246813", "semantic_fingerprint": "sha256:493501705bbf51edcd64e620c44f2c60b6ce965ca13f18a81d8e2cc800319ab6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002566", "prompt": "Compute: -5 - (-27) / 68 - (-336)", "solution_steps": ["Divide: -27 / 68 = -27/68", "Subtract: -5 - (-27/68) = -313/68", "Subtract: -313/68 - (-336) = 22535/68"], "final_answer": "22535/68", "answer_type": "rational", "kind": "expression", "math_text": "-5 - (-27) / 68 - (-336)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -27, \"c\": 68, \"d\": -336}", "seed": "8896340945321647044", "semantic_fingerprint": "sha256:e805fa707f3a242cbbf900a0b3295aedb0b99f1cc3871d40365f297366afee1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002567", "prompt": "Evaluate: 737 / (94 - (0 + (-59)) + (404 - (-80)))", "solution_steps": ["Add: 0 + (-59) = -59", "Subtract: 94 - (-59) = 153", "Subtract: 404 - (-80) = 484", "Add: 153 + 484 = 637", "Divide: 737 / 637 = 737/637"], "final_answer": "737/637", "answer_type": "rational", "kind": "expression", "math_text": "737 / (94 - (0 + (-59)) + (404 - (-80)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (- n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 737, \"b\": 94, \"c\": 0, \"d\": -59, \"e\": 404, \"f\": -80}", "seed": "10735420883416472158", "semantic_fingerprint": "sha256:b5118c105179248fb07cb26031ee3cf4dd6f4701701413f49b128f4ed28ed794", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002568", "prompt": "Solve for x: 12(x + 2) + 521 = x + 765", "solution_steps": ["Expand: 12x + 24 + 521 = x + 765", "Combine constants: 12x + 545 = x + 765", "Subtract x from both sides: 11x + 545 = 765", "Subtract 545 from both sides: 11x = 220", "Divide both sides by 11: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 2) + 521 = x + 765", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 521, \"e\": 765, \"x\": 20}", "seed": "10342061362331381511", "semantic_fingerprint": "sha256:61f999923d78c5472422ee86cb1a21306dc6252972596118e55ec31cb9710e79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002569", "prompt": "What is -18 * (-665) + 0 * (-91) + (-63)?", "solution_steps": ["Multiply: -18 * (-665) = 11970", "Multiply: 0 * (-91) = 0", "Add: 11970 + 0 = 11970", "Add: 11970 + (-63) = 11907"], "final_answer": "11907", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-665) + 0 * (-91) + (-63)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -665, \"c\": 0, \"d\": -91, \"e\": -63}", "seed": "17774897510847478885", "semantic_fingerprint": "sha256:5d2630c93e77cd2537f2867d224109c8fe8dd9edf1f1cfdb5ba00ec75e099638", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002570", "prompt": "Calculate: -781 - (720 + 18) / (-27)", "solution_steps": ["Add: 720 + 18 = 738", "Divide: 738 / (-27) = -82/3", "Subtract: -781 - (-82/3) = -2261/3"], "final_answer": "-2261/3", "answer_type": "rational", "kind": "expression", "math_text": "-781 - (720 + 18) / (-27)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -781, \"b\": 720, \"c\": 18, \"d\": -27}", "seed": "2688244920356811846", "semantic_fingerprint": "sha256:293d2975ccb9bf27db2dae180911afa60d52c2c4384f43e4a01627748548edd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002571", "prompt": "Calculate: 9 * 0 - (-3 - (-48) / (-88))", "solution_steps": ["Multiply: 9 * 0 = 0", "Divide: -48 / (-88) = 6/11", "Subtract: -3 - 6/11 = -39/11", "Subtract: 0 - (-39/11) = 39/11"], "final_answer": "39/11", "answer_type": "rational", "kind": "expression", "math_text": "9 * 0 - (-3 - (-48) / (-88))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": -3, \"d\": -48, \"e\": -88}", "seed": "12751822491242037283", "semantic_fingerprint": "sha256:f5ff2e00beff361ea71c41b1204c24ce808f1f32eb22d93c989d2540a98da1f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002572", "prompt": "Calculate: 9 * (233 * (-5)) * (-7)", "solution_steps": ["Multiply: 233 * (-5) = -1165", "Multiply: 9 * (-1165) = -10485", "Multiply: -10485 * (-7) = 73395"], "final_answer": "73395", "answer_type": "integer", "kind": "expression", "math_text": "9 * (233 * (-5)) * (-7)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 233, \"c\": -5, \"d\": -7}", "seed": "9658983826983285953", "semantic_fingerprint": "sha256:3263b89ea7b680aaff041272a743567e62dda9dcc31a3f5c2198a4c6d37bbaa9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002573", "prompt": "Solve for x: 2x - 70 = 9x - 7", "solution_steps": ["Subtract 9x from both sides: -7x - 70 = -7", "Add 70 to both sides: -7x = 63", "Divide both sides by -7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 70 = 9x - 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 70, \"c\": 9, \"e\": -7, \"x\": -9}", "seed": "9076847658195741705", "semantic_fingerprint": "sha256:72b6e99f36949a824cf49294db1de9dc40c7914686579577af9a0cca8d7a15e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002574", "prompt": "Solve the equation 12(x + 2) - 3 = x + 98 for x.", "solution_steps": ["Expand: 12x + 24 - 3 = x + 98", "Combine constants: 12x + 21 = x + 98", "Subtract x from both sides: 11x + 21 = 98", "Subtract 21 from both sides: 11x = 77", "Divide both sides by 11: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 2) - 3 = x + 98", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 3, \"e\": 98, \"x\": 7}", "seed": "11031323089963902823", "semantic_fingerprint": "sha256:02e15915c27e9da9decc36202e8052fc50bff4e0434c3a4401aa3a705dcc616e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002575", "prompt": "Find x: 7(x + 88) + 6 = x + 694", "solution_steps": ["Expand: 7x + 616 + 6 = x + 694", "Combine constants: 7x + 622 = x + 694", "Subtract x from both sides: 6x + 622 = 694", "Subtract 622 from both sides: 6x = 72", "Divide both sides by 6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 88) + 6 = x + 694", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 88, \"c\": 6, \"e\": 694, \"x\": 12}", "seed": "10756999498665715248", "semantic_fingerprint": "sha256:6320936ca9d1f689383f06bb7f8ed3271c1249628de26c6f76aa920937b3bff0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002576", "prompt": "What is (-8 + (99 + 67)) / 9 + 89?", "solution_steps": ["Add: 99 + 67 = 166", "Add: -8 + 166 = 158", "Divide: 158 / 9 = 158/9", "Add: 158/9 + 89 = 959/9"], "final_answer": "959/9", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (99 + 67)) / 9 + 89", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 99, \"c\": 67, \"d\": 9, \"e\": 89}", "seed": "4955696831860240391", "semantic_fingerprint": "sha256:3212cb8c25f63f6f9befab76d8ce4f057017ba2a60202b5a68db871da160d72e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002577", "prompt": "What value of x satisfies -4(x - 211) + 460 = 6(x + 941)?", "solution_steps": ["Expand: -4x + 844 + 460 = 6(x + 941)", "Expand: -4x + 844 + 460 = 6x + 5646", "Combine constants: -4x + 1304 = 6x + 5646", "Subtract 6x from both sides: -10x + 1304 = 5646", "Subtract 1304 from both sides: -10x = 4342", "Divide both sides by -10: x = -2171/5"], "final_answer": "-2171/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 211) + 460 = 6(x + 941)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 211, \"c\": 460, \"d\": 6, \"e\": 941}", "seed": "2396089203070030097", "semantic_fingerprint": "sha256:0e9739465ab1656ec5bbe319015525ac984991404b50709edb27dbd76dd34533", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002578", "prompt": "What is 4 + (16 - (15 + 98))?", "solution_steps": ["Add: 15 + 98 = 113", "Subtract: 16 - 113 = -97", "Add: 4 + (-97) = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "expression", "math_text": "4 + (16 - (15 + 98))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 16, \"c\": 15, \"d\": 98}", "seed": "13926636923184855987", "semantic_fingerprint": "sha256:a74d0168ad48238101f4246237056f62099691e610862c7d9d6c081ffd57a081", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002579", "prompt": "Calculate: (-78 - 0 * 53) / (7 * (-19) / 1)", "solution_steps": ["Multiply: 0 * 53 = 0", "Subtract: -78 - 0 = -78", "Multiply: 7 * (-19) = -133", "Divide: -133 / 1 = -133", "Divide: -78 / (-133) = 78/133"], "final_answer": "78/133", "answer_type": "rational", "kind": "expression", "math_text": "(-78 - 0 * 53) / (7 * (-19) / 1)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 0, \"c\": 53, \"d\": 7, \"e\": -19, \"f\": 1}", "seed": "14393089216161589209", "semantic_fingerprint": "sha256:dd2090a47598086e1a5a512e148ce385c2e1c7911f396a40eed5f8525a82be5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002580", "prompt": "Solve for x: -5x - 821 = 4x - 785", "solution_steps": ["Subtract 4x from both sides: -9x - 821 = -785", "Add 821 to both sides: -9x = 36", "Divide both sides by -9: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 821 = 4x - 785", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 821, \"c\": 4, \"e\": -785, \"x\": -4}", "seed": "7901484495221319520", "semantic_fingerprint": "sha256:77267a2de37bb7adb31b37d6c68acaf3fcb58484d261a324973471a841dd6efa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002581", "prompt": "What is 5 * (0 * (639 - 2)) / (792 / (-8))?", "solution_steps": ["Subtract: 639 - 2 = 637", "Multiply: 0 * 637 = 0", "Multiply: 5 * 0 = 0", "Divide: 792 / (-8) = -99", "Divide: 0 / (-99) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "5 * (0 * (639 - 2)) / (792 / (-8))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (* n (- n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 0, \"c\": 639, \"d\": 2, \"e\": 792, \"f\": -8}", "seed": "4074478604607772239", "semantic_fingerprint": "sha256:4a157c9d71a69ba90ee07473baef324a2c28d2b28093c0a026630e3a6516b6b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002582", "prompt": "Calculate: (-9 + (-816 - (-9))) / 6 * (99 - (-87))", "solution_steps": ["Subtract: -816 - (-9) = -807", "Add: -9 + (-807) = -816", "Divide: -816 / 6 = -136", "Subtract: 99 - (-87) = 186", "Multiply: -136 * 186 = -25296"], "final_answer": "-25296", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + (-816 - (-9))) / 6 * (99 - (-87))", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -816, \"c\": -9, \"d\": 6, \"e\": 99, \"f\": -87}", "seed": "6240771948042462532", "semantic_fingerprint": "sha256:77ae9bc497872fb6b24d8d180f6b9c03069ca24b15a74bf5c7af5e90f7048d6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002583", "prompt": "Find x: 6(x - 4) - 3 = x + 73", "solution_steps": ["Expand: 6x - 24 - 3 = x + 73", "Combine constants: 6x - 27 = x + 73", "Subtract x from both sides: 5x - 27 = 73", "Add 27 to both sides: 5x = 100", "Divide both sides by 5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 4) - 3 = x + 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 3, \"e\": 73, \"x\": 20}", "seed": "13920451172646645925", "semantic_fingerprint": "sha256:89b4628e8497d4878385503aadbd987fbb0d7137de0e8b85cac8a7f152ece14d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002584", "prompt": "What is -320 + 33 + (139 / (-3) - (-698))?", "solution_steps": ["Add: -320 + 33 = -287", "Divide: 139 / (-3) = -139/3", "Subtract: -139/3 - (-698) = 1955/3", "Add: -287 + 1955/3 = 1094/3"], "final_answer": "1094/3", "answer_type": "rational", "kind": "expression", "math_text": "-320 + 33 + (139 / (-3) - (-698))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -320, \"b\": 33, \"c\": 139, \"d\": -3, \"e\": -698}", "seed": "11939228235862589740", "semantic_fingerprint": "sha256:0a8b1d9df0385be3456fa971bf1198b02a88ff70e862281ebf69070fe7c53729", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002585", "prompt": "Compute: (-98 - (-86) + (-58)) / (-4) * (3 - 0)", "solution_steps": ["Subtract: -98 - (-86) = -12", "Add: -12 + (-58) = -70", "Divide: -70 / (-4) = 35/2", "Subtract: 3 - 0 = 3", "Multiply: (35/2) * 3 = 105/2"], "final_answer": "105/2", "answer_type": "rational", "kind": "expression", "math_text": "(-98 - (-86) + (-58)) / (-4) * (3 - 0)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -86, \"c\": -58, \"d\": -4, \"e\": 3, \"f\": 0}", "seed": "14317021939712047102", "semantic_fingerprint": "sha256:0fab5ceccb65beea878acd15f7d19d8403b66bb2ba3710153f9c74accbac4973", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002586", "prompt": "Solve the equation 2(x + 6) + 53 = x + 45 for x.", "solution_steps": ["Expand: 2x + 12 + 53 = x + 45", "Combine constants: 2x + 65 = x + 45", "Subtract x from both sides: x + 65 = 45", "Subtract 65 from both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 6) + 53 = x + 45", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 53, \"e\": 45, \"x\": -20}", "seed": "8882830434408382938", "semantic_fingerprint": "sha256:893a6047ca23cb89674546de0aaf7e052a7a3e1676a5c3afc63fd131b8436519", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002587", "prompt": "What is 215 + (-884) - (-16 - (187 - (-98)))?", "solution_steps": ["Add: 215 + (-884) = -669", "Subtract: 187 - (-98) = 285", "Subtract: -16 - 285 = -301", "Subtract: -669 - (-301) = -368"], "final_answer": "-368", "answer_type": "integer", "kind": "expression", "math_text": "215 + (-884) - (-16 - (187 - (-98)))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 215, \"b\": -884, \"c\": -16, \"d\": 187, \"e\": -98}", "seed": "10307600651802259819", "semantic_fingerprint": "sha256:496c12a8b9ccf9ec1d57a98326db205ca7c1ae17cd4b859b93f9a5b8b11072d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002588", "prompt": "Compute: (0 + 3 / (-87) + (-9)) * 57", "solution_steps": ["Divide: 3 / (-87) = -1/29", "Add: 0 + (-1/29) = -1/29", "Add: -1/29 + (-9) = -262/29", "Multiply: (-262/29) * 57 = -14934/29"], "final_answer": "-14934/29", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 3 / (-87) + (-9)) * 57", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 3, \"c\": -87, \"d\": -9, \"e\": 57}", "seed": "17703053106215381687", "semantic_fingerprint": "sha256:91c3d3363010d78ca874f862155f242254dba690f037e1f14e72e305e586fcaf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002589", "prompt": "Solve the equation 3(x - 6) + 2 = -3(x + 864) for x.", "solution_steps": ["Expand: 3x - 18 + 2 = -3(x + 864)", "Expand: 3x - 18 + 2 = -3x - 2592", "Combine constants: 3x - 16 = -3x - 2592", "Add 3x to both sides: 6x - 16 = -2592", "Add 16 to both sides: 6x = -2576", "Divide both sides by 6: x = -1288/3"], "final_answer": "-1288/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 6) + 2 = -3(x + 864)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 2, \"d\": -3, \"e\": 864}", "seed": "6075939568785334286", "semantic_fingerprint": "sha256:ff93c26bd8ea48893b4278b2aa6dcaa19913a010f92e28ea89fd18a5c7c23548", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002590", "prompt": "What is -6 * (-8 / (-893) + (99 + (-1)))?", "solution_steps": ["Divide: -8 / (-893) = 8/893", "Add: 99 + (-1) = 98", "Add: 8/893 + 98 = 87522/893", "Multiply: -6 * (87522/893) = -525132/893"], "final_answer": "-525132/893", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-8 / (-893) + (99 + (-1)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -8, \"c\": -893, \"d\": 99, \"e\": -1}", "seed": "5666994662914418364", "semantic_fingerprint": "sha256:0cbbb004789748b00b10aeeb25644551be459d517fd814124894c89872266a3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002591", "prompt": "Solve for x: 6(x + 38) - 3 = x + 170", "solution_steps": ["Expand: 6x + 228 - 3 = x + 170", "Combine constants: 6x + 225 = x + 170", "Subtract x from both sides: 5x + 225 = 170", "Subtract 225 from both sides: 5x = -55", "Divide both sides by 5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 38) - 3 = x + 170", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 38, \"c\": 3, \"e\": 170, \"x\": -11}", "seed": "17249554835343631353", "semantic_fingerprint": "sha256:df3fdf16c5ab369e1ea6eca36510698583b453a605b9e12b3f62f87fe9f09188", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002592", "prompt": "What is 16 * 7 - (-2 - (-6) - (-995)) - 29?", "solution_steps": ["Multiply: 16 * 7 = 112", "Subtract: -2 - (-6) = 4", "Subtract: 4 - (-995) = 999", "Subtract: 112 - 999 = -887", "Subtract: -887 - 29 = -916"], "final_answer": "-916", "answer_type": "integer", "kind": "expression", "math_text": "16 * 7 - (-2 - (-6) - (-995)) - 29", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) (- (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 7, \"c\": -2, \"d\": -6, \"e\": -995, \"f\": 29}", "seed": "13722122392345496402", "semantic_fingerprint": "sha256:b8f7b60602e74e4eb2d24df314b2a2c99cc49d49eaf3b393d178bbc99db9d00d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002593", "prompt": "Solve the equation 2(x + 7) = 3(x - 302) + 928 for x.", "solution_steps": ["Expand: 2x + 14 = 3(x - 302) + 928", "Expand: 2x + 14 = 3x - 906 + 928", "Combine constants: 2x + 14 = 3x + 22", "Subtract 3x from both sides: -x + 14 = 22", "Subtract 14 from both sides: -x = 8", "Divide both sides by -1: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 7) = 3(x - 302) + 928", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 3, \"d\": 302, \"f\": 928, \"x\": -8}", "seed": "11562016043832209960", "semantic_fingerprint": "sha256:05a5cab59a18b00aef20dafc137ad1fca33cb2b1c658b365b42357344f17c8e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002594", "prompt": "Calculate: (-23 * 57 + (-1) * 74) / 77", "solution_steps": ["Multiply: -23 * 57 = -1311", "Multiply: -1 * 74 = -74", "Add: -1311 + (-74) = -1385", "Divide: -1385 / 77 = -1385/77"], "final_answer": "-1385/77", "answer_type": "rational", "kind": "expression", "math_text": "(-23 * 57 + (-1) * 74) / 77", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 57, \"c\": -1, \"d\": 74, \"e\": 77}", "seed": "9916246022198236217", "semantic_fingerprint": "sha256:9aaf7a4853a13738b180367d354db18cc9b99db440b0bcc05547f76ce7509c0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002595", "prompt": "What is -343 / (872 / (-31)) + 71?", "solution_steps": ["Divide: 872 / (-31) = -872/31", "Divide: -343 / (-872/31) = 10633/872", "Add: 10633/872 + 71 = 72545/872"], "final_answer": "72545/872", "answer_type": "rational", "kind": "expression", "math_text": "-343 / (872 / (-31)) + 71", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -343, \"b\": 872, \"c\": -31, \"d\": 71}", "seed": "16795453811626220170", "semantic_fingerprint": "sha256:c34d2524f3fee37d440849c3aea4f716656032a5b194ab72824fabaf71c39780", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002596", "prompt": "What is -61 / (-7) * (-45 / 20)?", "solution_steps": ["Divide: -61 / (-7) = 61/7", "Divide: -45 / 20 = -9/4", "Multiply: (61/7) * (-9/4) = -549/28"], "final_answer": "-549/28", "answer_type": "rational", "kind": "expression", "math_text": "-61 / (-7) * (-45 / 20)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -7, \"c\": -45, \"d\": 20}", "seed": "7397610728994934471", "semantic_fingerprint": "sha256:24bce6480a2e3ff234926c57f960a47e3fd0b010471b15a07bec60b6dd53b3d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002597", "prompt": "Solve for x: 3x - 3 = 12x - 93", "solution_steps": ["Subtract 12x from both sides: -9x - 3 = -93", "Add 3 to both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 3 = 12x - 93", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 12, \"e\": -93, \"x\": 10}", "seed": "8372656213874183864", "semantic_fingerprint": "sha256:44ab19e13723514b83019305f4f3c6f65dcafb511531e6a88003bedf55360f5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002598", "prompt": "Compute: (-52 + 2) / (513 + 1)", "solution_steps": ["Add: -52 + 2 = -50", "Add: 513 + 1 = 514", "Divide: -50 / 514 = -25/257"], "final_answer": "-25/257", "answer_type": "rational", "kind": "expression", "math_text": "(-52 + 2) / (513 + 1)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 2, \"c\": 513, \"d\": 1}", "seed": "11080716907730259698", "semantic_fingerprint": "sha256:2f2d15507203d0368e6d8a3b7ca5537ba63fa939263d4cae72e6786f91bafea5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002599", "prompt": "What value of x satisfies 5(x - 16) + 146 = 9(x + 6)?", "solution_steps": ["Expand: 5x - 80 + 146 = 9(x + 6)", "Expand: 5x - 80 + 146 = 9x + 54", "Combine constants: 5x + 66 = 9x + 54", "Subtract 9x from both sides: -4x + 66 = 54", "Subtract 66 from both sides: -4x = -12", "Divide both sides by -4: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 16) + 146 = 9(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 16, \"c\": 9, \"d\": 6, \"f\": 146, \"x\": 3}", "seed": "1353713822050574957", "semantic_fingerprint": "sha256:3dbddf84817730a86b88e4d9b56b617bf439d2932465071ef2942acc888b49b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002600", "prompt": "Compute: (54 + (53 + (-813))) * (-85 / 348)", "solution_steps": ["Add: 53 + (-813) = -760", "Add: 54 + (-760) = -706", "Divide: -85 / 348 = -85/348", "Multiply: -706 * (-85/348) = 30005/174"], "final_answer": "30005/174", "answer_type": "rational", "kind": "expression", "math_text": "(54 + (53 + (-813))) * (-85 / 348)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 53, \"c\": -813, \"d\": -85, \"e\": 348}", "seed": "9413369159569833537", "semantic_fingerprint": "sha256:fc6bcc61b0d79720105a75980c7494ca0eb7c6383d5588017def133c8ae6d250", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002601", "prompt": "Evaluate: -13 / 27 * (-74 / (-3))", "solution_steps": ["Divide: -13 / 27 = -13/27", "Divide: -74 / (-3) = 74/3", "Multiply: (-13/27) * (74/3) = -962/81"], "final_answer": "-962/81", "answer_type": "rational", "kind": "expression", "math_text": "-13 / 27 * (-74 / (-3))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 27, \"c\": -74, \"d\": -3}", "seed": "1025777165648493761", "semantic_fingerprint": "sha256:2deca3f8b5497a6a40b8434ae52d3a0845bd1bf5589cda93eef3d5f1a695a970", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002602", "prompt": "What is 74 * 8 + 4 * 0?", "solution_steps": ["Multiply: 74 * 8 = 592", "Multiply: 4 * 0 = 0", "Add: 592 + 0 = 592"], "final_answer": "592", "answer_type": "integer", "kind": "expression", "math_text": "74 * 8 + 4 * 0", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 8, \"c\": 4, \"d\": 0}", "seed": "2375724364897677008", "semantic_fingerprint": "sha256:965de972862968140efdf882bd11d0a28b48b792b48609ab735e2464ba0ca7ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002603", "prompt": "What value of x satisfies 10x - 316 = 2(x - 142)?", "solution_steps": ["Expand: 10x - 316 = 2x - 284", "Subtract 2x from both sides: 8x - 316 = -284", "Add 316 to both sides: 8x = 32", "Divide both sides by 8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 316 = 2(x - 142)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 142, \"e\": -316, \"x\": 4}", "seed": "10418311803760954540", "semantic_fingerprint": "sha256:34cf87b726b25fe8585b161bac8bab6d47d676fc47b8549d1bf30aeda4b6f380", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002604", "prompt": "What value of x satisfies -3(x - 982) + 856 = 12(x + 316)?", "solution_steps": ["Expand: -3x + 2946 + 856 = 12(x + 316)", "Expand: -3x + 2946 + 856 = 12x + 3792", "Combine constants: -3x + 3802 = 12x + 3792", "Subtract 12x from both sides: -15x + 3802 = 3792", "Subtract 3802 from both sides: -15x = -10", "Divide both sides by -15: x = 2/3"], "final_answer": "2/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 982) + 856 = 12(x + 316)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 982, \"c\": 856, \"d\": 12, \"e\": 316}", "seed": "17156114549469863877", "semantic_fingerprint": "sha256:3adfdc58f3006a8318260ff63c07473b69f79ebd7991a85835eef22a454b9864", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002605", "prompt": "Evaluate: (98 - 0) / (78 - (-66)) / 2 - 224", "solution_steps": ["Subtract: 98 - 0 = 98", "Subtract: 78 - (-66) = 144", "Divide: 98 / 144 = 49/72", "Divide: (49/72) / 2 = 49/144", "Subtract: 49/144 - 224 = -32207/144"], "final_answer": "-32207/144", "answer_type": "rational", "kind": "expression", "math_text": "(98 - 0) / (78 - (-66)) / 2 - 224", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ (- n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 0, \"c\": 78, \"d\": -66, \"e\": 2, \"f\": 224}", "seed": "12038603757953573402", "semantic_fingerprint": "sha256:85403975ff160e8ceef59720689598767f416a466d0acd45bbfd26f145817e44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002606", "prompt": "Evaluate: (-6 - 218 * 4) / (-65)", "solution_steps": ["Multiply: 218 * 4 = 872", "Subtract: -6 - 872 = -878", "Divide: -878 / (-65) = 878/65"], "final_answer": "878/65", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - 218 * 4) / (-65)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 218, \"c\": 4, \"d\": -65}", "seed": "13694995931558280324", "semantic_fingerprint": "sha256:bf9e15f7e26af0ae673c8e7417ef7c35e6dfbb8837415393e9da7dacda5f81dc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002607", "prompt": "Evaluate: -345 / (2 + (-8)) + 12 * (-25)", "solution_steps": ["Add: 2 + (-8) = -6", "Divide: -345 / (-6) = 115/2", "Multiply: 12 * (-25) = -300", "Add: 115/2 + (-300) = -485/2"], "final_answer": "-485/2", "answer_type": "rational", "kind": "expression", "math_text": "-345 / (2 + (-8)) + 12 * (-25)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -345, \"b\": 2, \"c\": -8, \"d\": 12, \"e\": -25}", "seed": "15094546910788697283", "semantic_fingerprint": "sha256:43886a1da35fa0bf85d0041505eb5df1353e63ed9f0a97ae0468c8da84f5f6cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002608", "prompt": "Find x: -10(x - 5) - 9 = x + 74", "solution_steps": ["Expand: -10x + 50 - 9 = x + 74", "Combine constants: -10x + 41 = x + 74", "Subtract x from both sides: -11x + 41 = 74", "Subtract 41 from both sides: -11x = 33", "Divide both sides by -11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 5) - 9 = x + 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 9, \"e\": 74, \"x\": -3}", "seed": "4635362313807677516", "semantic_fingerprint": "sha256:6a903227396753e203300d7b218b2bb17e5c4ab097fea9054eb924e537abd786", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002609", "prompt": "Calculate: -17 + ((903 + 744) * (-3) - 8) / 2", "solution_steps": ["Add: 903 + 744 = 1647", "Multiply: 1647 * (-3) = -4941", "Subtract: -4941 - 8 = -4949", "Divide: -4949 / 2 = -4949/2", "Add: -17 + (-4949/2) = -4983/2"], "final_answer": "-4983/2", "answer_type": "rational", "kind": "expression", "math_text": "-17 + ((903 + 744) * (-3) - 8) / 2", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- (* (+ n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 903, \"c\": 744, \"d\": -3, \"e\": 8, \"f\": 2}", "seed": "9886088910621521349", "semantic_fingerprint": "sha256:6626b676fc5168ebc32175a9c3003ea9f167bbfececfd9010756555b96e9db84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002610", "prompt": "Solve for x: 11x - 748 = 12x - 7", "solution_steps": ["Subtract 12x from both sides: -x - 748 = -7", "Add 748 to both sides: -x = 741", "Divide both sides by -1: x = -741"], "final_answer": "-741", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 748 = 12x - 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 748, \"c\": 12, \"d\": 7}", "seed": "16997805845062538567", "semantic_fingerprint": "sha256:22577a1a4cf2825a3556cef0449ad787b138890761b5f7d8ca168beb9651b8a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002611", "prompt": "Evaluate: 6 * (-846) + 45 + (0 - 670)", "solution_steps": ["Multiply: 6 * (-846) = -5076", "Add: -5076 + 45 = -5031", "Subtract: 0 - 670 = -670", "Add: -5031 + (-670) = -5701"], "final_answer": "-5701", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-846) + 45 + (0 - 670)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -846, \"c\": 45, \"d\": 0, \"e\": 670}", "seed": "927459998157878142", "semantic_fingerprint": "sha256:1813d7fd0c0aa9b1c247f3d773247c386e8665fed9de7c00214a77dcb4d98f83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002612", "prompt": "Evaluate: -3 / 64 * (8 / (-4))", "solution_steps": ["Divide: -3 / 64 = -3/64", "Divide: 8 / (-4) = -2", "Multiply: (-3/64) * (-2) = 3/32"], "final_answer": "3/32", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 64 * (8 / (-4))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 64, \"c\": 8, \"d\": -4}", "seed": "5042015596722053893", "semantic_fingerprint": "sha256:664876eac0dc2b236228f9eeac960f8f813131b3d607fd4420b55c9fcb1d32ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002613", "prompt": "Find x: 7x = 10(x + 47) - 455", "solution_steps": ["Expand: 7x = 10x + 470 - 455", "Combine constants: 7x = 10x + 15", "Subtract 10x from both sides: -3x = 15", "Divide both sides by -3: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 10(x + 47) - 455", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 47, \"e\": -455, \"x\": -5}", "seed": "2195085555970966884", "semantic_fingerprint": "sha256:c5baeb6b5ac2da07c396f885fdb0d5618418f94935024ab266be737058c5887c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002614", "prompt": "Solve the equation -7(x - 99) - 52 = x + 697 for x.", "solution_steps": ["Expand: -7x + 693 - 52 = x + 697", "Combine constants: -7x + 641 = x + 697", "Subtract x from both sides: -8x + 641 = 697", "Subtract 641 from both sides: -8x = 56", "Divide both sides by -8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 99) - 52 = x + 697", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 99, \"c\": 52, \"e\": 697, \"x\": -7}", "seed": "4194479456947226354", "semantic_fingerprint": "sha256:7419af8ca73bd6bb942db8cb82d1cec4e05c0948654c266e66b4d2270d732b68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002615", "prompt": "Calculate: (7 - 0 - (-37 + (-61))) * (487 / (-233))", "solution_steps": ["Subtract: 7 - 0 = 7", "Add: -37 + (-61) = -98", "Subtract: 7 - (-98) = 105", "Divide: 487 / (-233) = -487/233", "Multiply: 105 * (-487/233) = -51135/233"], "final_answer": "-51135/233", "answer_type": "rational", "kind": "expression", "math_text": "(7 - 0 - (-37 + (-61))) * (487 / (-233))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 0, \"c\": -37, \"d\": -61, \"e\": 487, \"f\": -233}", "seed": "13069430328182676162", "semantic_fingerprint": "sha256:a829836e246dc944d8ae8d778e48dc2d3c0ad5a5e23b24940612d0c5bca7cf52", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002616", "prompt": "Calculate: (2 + (-3)) / (657 + 27)", "solution_steps": ["Add: 2 + (-3) = -1", "Add: 657 + 27 = 684", "Divide: -1 / 684 = -1/684"], "final_answer": "-1/684", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (-3)) / (657 + 27)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"c\": 657, \"d\": 27}", "seed": "800582148048451197", "semantic_fingerprint": "sha256:b69e9acdf43dea14c25bd53691b33b9a46cbe1e796301f9b7f7133cd8e6ada93", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002617", "prompt": "What is -739 - (76 + 3) / 51?", "solution_steps": ["Add: 76 + 3 = 79", "Divide: 79 / 51 = 79/51", "Subtract: -739 - 79/51 = -37768/51"], "final_answer": "-37768/51", "answer_type": "rational", "kind": "expression", "math_text": "-739 - (76 + 3) / 51", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -739, \"b\": 76, \"c\": 3, \"d\": 51}", "seed": "15436953964490925075", "semantic_fingerprint": "sha256:405fbd16999eaf804562549e97043fae0995b144155c4d5948ab813ae6f434f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002618", "prompt": "What is -6 - (-81) / 75 - 0?", "solution_steps": ["Divide: -81 / 75 = -27/25", "Subtract: -6 - (-27/25) = -123/25", "Subtract: -123/25 - 0 = -123/25"], "final_answer": "-123/25", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (-81) / 75 - 0", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -81, \"c\": 75, \"d\": 0}", "seed": "9881906949261864303", "semantic_fingerprint": "sha256:08e97940fd355ea5f56e5f351f422837a0cdb4dbd08593fc31a43274d621aa88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002619", "prompt": "What is 393 * (-36) + (-55 - (-88))?", "solution_steps": ["Multiply: 393 * (-36) = -14148", "Subtract: -55 - (-88) = 33", "Add: -14148 + 33 = -14115"], "final_answer": "-14115", "answer_type": "integer", "kind": "expression", "math_text": "393 * (-36) + (-55 - (-88))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 393, \"b\": -36, \"c\": -55, \"d\": -88}", "seed": "4372436508032069603", "semantic_fingerprint": "sha256:f2af119089660f23d24dfda3dae3ab5aa5050874bc366dc4e54933d5692a1984", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002620", "prompt": "Evaluate: 83 / 149 * (-33 / (-9))", "solution_steps": ["Divide: 83 / 149 = 83/149", "Divide: -33 / (-9) = 11/3", "Multiply: (83/149) * (11/3) = 913/447"], "final_answer": "913/447", "answer_type": "rational", "kind": "expression", "math_text": "83 / 149 * (-33 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 149, \"c\": -33, \"d\": -9}", "seed": "9210750735895485224", "semantic_fingerprint": "sha256:975530e3320c4d5391f1e2c1803d246e73507e97e9def2d904df5fd0edb757a4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002621", "prompt": "What is -216 / (8 * (-55) + (3 - (-779)))?", "solution_steps": ["Multiply: 8 * (-55) = -440", "Subtract: 3 - (-779) = 782", "Add: -440 + 782 = 342", "Divide: -216 / 342 = -12/19"], "final_answer": "-12/19", "answer_type": "rational", "kind": "expression", "math_text": "-216 / (8 * (-55) + (3 - (-779)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -216, \"b\": 8, \"c\": -55, \"d\": 3, \"e\": -779}", "seed": "455148980811938227", "semantic_fingerprint": "sha256:ce2fa161af9b58fe6dcfac2e2296b1862782b65d5b3249803297574aeb6cefbb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002622", "prompt": "Find x: 8(x + 96) - 56 = x + 84", "solution_steps": ["Expand: 8x + 768 - 56 = x + 84", "Combine constants: 8x + 712 = x + 84", "Subtract x from both sides: 7x + 712 = 84", "Subtract 712 from both sides: 7x = -628", "Divide both sides by 7: x = -628/7"], "final_answer": "-628/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 96) - 56 = x + 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 96, \"c\": 56, \"d\": 84}", "seed": "1870302110102181649", "semantic_fingerprint": "sha256:d79e7fbca6f9a565baa9f9e66e6149098d3191ba28315ce3afe1969a38c1e32c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002623", "prompt": "Calculate: 4 / 35 * (2 / (-5))", "solution_steps": ["Divide: 4 / 35 = 4/35", "Divide: 2 / (-5) = -2/5", "Multiply: (4/35) * (-2/5) = -8/175"], "final_answer": "-8/175", "answer_type": "rational", "kind": "expression", "math_text": "4 / 35 * (2 / (-5))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 35, \"c\": 2, \"d\": -5}", "seed": "12368662007053827305", "semantic_fingerprint": "sha256:abcd86a61f43b558ef726ff9fef5a7d9c3b66cfbae7c5b08dce7ed2bf3f12e0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002624", "prompt": "What is 4 * (-48) / (2 - (-67) + (-108)) - (-64)?", "solution_steps": ["Multiply: 4 * (-48) = -192", "Subtract: 2 - (-67) = 69", "Add: 69 + (-108) = -39", "Divide: -192 / (-39) = 64/13", "Subtract: 64/13 - (-64) = 896/13"], "final_answer": "896/13", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-48) / (2 - (-67) + (-108)) - (-64)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -48, \"c\": 2, \"d\": -67, \"e\": -108, \"f\": -64}", "seed": "2600817162400622295", "semantic_fingerprint": "sha256:57b21fa71b74def795711b9516e7f7df0611a50586bc0e07d551fe58c9b2aecb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002625", "prompt": "Find x: 2(x + 89) + 42 = x + 756", "solution_steps": ["Expand: 2x + 178 + 42 = x + 756", "Combine constants: 2x + 220 = x + 756", "Subtract x from both sides: x + 220 = 756", "Subtract 220 from both sides: x = 536"], "final_answer": "536", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 89) + 42 = x + 756", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 89, \"c\": 42, \"d\": 756}", "seed": "4210281073761424467", "semantic_fingerprint": "sha256:bc783ab34b5a1c99ab4756ffa4bfece81b8f8050ad5a258387d322bdcb6678a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002626", "prompt": "Calculate: (2 + (-812)) / (46 * 7) * (-2)", "solution_steps": ["Add: 2 + (-812) = -810", "Multiply: 46 * 7 = 322", "Divide: -810 / 322 = -405/161", "Multiply: (-405/161) * (-2) = 810/161"], "final_answer": "810/161", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (-812)) / (46 * 7) * (-2)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -812, \"c\": 46, \"d\": 7, \"e\": -2}", "seed": "9889035784839840051", "semantic_fingerprint": "sha256:2e0758e663102f8c596c48b24cfae083cbb0b4fcd0608ef754534b3cb0a8cfef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002627", "prompt": "What is -6 + (-93) * (0 + 28) / 344?", "solution_steps": ["Add: 0 + 28 = 28", "Multiply: -93 * 28 = -2604", "Divide: -2604 / 344 = -651/86", "Add: -6 + (-651/86) = -1167/86"], "final_answer": "-1167/86", "answer_type": "rational", "kind": "expression", "math_text": "-6 + (-93) * (0 + 28) / 344", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -93, \"c\": 0, \"d\": 28, \"e\": 344}", "seed": "12792570321138494431", "semantic_fingerprint": "sha256:a635fed0d01f95fb308fa4317ae6ceda52928f3324b9545e47e166d29f1ac48d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002628", "prompt": "Evaluate: 57 / 281 * (52 / 6)", "solution_steps": ["Divide: 57 / 281 = 57/281", "Divide: 52 / 6 = 26/3", "Multiply: (57/281) * (26/3) = 494/281"], "final_answer": "494/281", "answer_type": "rational", "kind": "expression", "math_text": "57 / 281 * (52 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 281, \"c\": 52, \"d\": 6}", "seed": "422271806123847837", "semantic_fingerprint": "sha256:bb5b5089a3362d082a2854561f982ac041e2eba6a999b2d5b3f66f7665c88de8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002629", "prompt": "Find x: -2x = 10(x + 5) - 122", "solution_steps": ["Expand: -2x = 10x + 50 - 122", "Combine constants: -2x = 10x - 72", "Subtract 10x from both sides: -12x = -72", "Divide both sides by -12: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 10(x + 5) - 122", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 10, \"c\": 5, \"e\": -122, \"x\": 6}", "seed": "13556580921608222970", "semantic_fingerprint": "sha256:9efe514f0be77bac99c5e2208af9021236212fa2b93c063443693c613877ce9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002630", "prompt": "Solve the equation 8(x + 418) + 705 = x + 31 for x.", "solution_steps": ["Expand: 8x + 3344 + 705 = x + 31", "Combine constants: 8x + 4049 = x + 31", "Subtract x from both sides: 7x + 4049 = 31", "Subtract 4049 from both sides: 7x = -4018", "Divide both sides by 7: x = -574"], "final_answer": "-574", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 418) + 705 = x + 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 418, \"c\": 705, \"d\": 31}", "seed": "9822175421563589419", "semantic_fingerprint": "sha256:86f1fa9a945d91873328675c4648e863f3b15a1151bddefb28c41731ebcbcfcc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002631", "prompt": "What value of x satisfies 3x - 94 = 8(x - 1)?", "solution_steps": ["Expand: 3x - 94 = 8x - 8", "Subtract 8x from both sides: -5x - 94 = -8", "Add 94 to both sides: -5x = 86", "Divide both sides by -5: x = -86/5"], "final_answer": "-86/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 94 = 8(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 94, \"c\": 8, \"d\": 1}", "seed": "5523506847412188747", "semantic_fingerprint": "sha256:7ac5e1711403282a63cdbaba63cd9def4df02c62b331fbc9471dd3df2ef41123", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002632", "prompt": "Solve for x: 5(x + 67) - 8 = x + 255", "solution_steps": ["Expand: 5x + 335 - 8 = x + 255", "Combine constants: 5x + 327 = x + 255", "Subtract x from both sides: 4x + 327 = 255", "Subtract 327 from both sides: 4x = -72", "Divide both sides by 4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 67) - 8 = x + 255", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 67, \"c\": 8, \"e\": 255, \"x\": -18}", "seed": "11385377600008946913", "semantic_fingerprint": "sha256:b1c2031ba319d3fcde8a6f5c1875ecb94bf0b174d14dbacf87f9f27ba410e756", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002633", "prompt": "What is -3 / (-8 / 943) - (-9) + (-22 - 85)?", "solution_steps": ["Divide: -8 / 943 = -8/943", "Divide: -3 / (-8/943) = 2829/8", "Subtract: 2829/8 - (-9) = 2901/8", "Subtract: -22 - 85 = -107", "Add: 2901/8 + (-107) = 2045/8"], "final_answer": "2045/8", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-8 / 943) - (-9) + (-22 - 85)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -8, \"c\": 943, \"d\": -9, \"e\": -22, \"f\": 85}", "seed": "14478361403313391865", "semantic_fingerprint": "sha256:0ea25142617c7e61f39063d6ad983353e1242d176c1867394e70eec7aaca1913", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002634", "prompt": "Calculate: (842 + (-49)) / (-56) + 4", "solution_steps": ["Add: 842 + (-49) = 793", "Divide: 793 / (-56) = -793/56", "Add: -793/56 + 4 = -569/56"], "final_answer": "-569/56", "answer_type": "rational", "kind": "expression", "math_text": "(842 + (-49)) / (-56) + 4", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 842, \"b\": -49, \"c\": -56, \"d\": 4}", "seed": "14436255595335113141", "semantic_fingerprint": "sha256:3e300ed088b24052b0c41cadcb7af0f56d7ebd4ddd5f079a923caf856a60d233", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002635", "prompt": "Calculate: 42 * 1 * (-985 / 360)", "solution_steps": ["Multiply: 42 * 1 = 42", "Divide: -985 / 360 = -197/72", "Multiply: 42 * (-197/72) = -1379/12"], "final_answer": "-1379/12", "answer_type": "rational", "kind": "expression", "math_text": "42 * 1 * (-985 / 360)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 1, \"c\": -985, \"d\": 360}", "seed": "8228867517456681441", "semantic_fingerprint": "sha256:fea6e40b098b7b9586a45ad02bd6afb886d8ed4ce15d838c42b9f7c6ba3bbfb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002636", "prompt": "Compute: (-25 + (-72)) / 244 + 0", "solution_steps": ["Add: -25 + (-72) = -97", "Divide: -97 / 244 = -97/244", "Add: -97/244 + 0 = -97/244"], "final_answer": "-97/244", "answer_type": "rational", "kind": "expression", "math_text": "(-25 + (-72)) / 244 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -72, \"c\": 244, \"d\": 0}", "seed": "18055979732825299098", "semantic_fingerprint": "sha256:3e4200c1b19a0221bf8169a8e8b82a7d8e773c453a79b258908b601ded7c440d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002637", "prompt": "What is 274 * (-65) + 4 * 624?", "solution_steps": ["Multiply: 274 * (-65) = -17810", "Multiply: 4 * 624 = 2496", "Add: -17810 + 2496 = -15314"], "final_answer": "-15314", "answer_type": "integer", "kind": "expression", "math_text": "274 * (-65) + 4 * 624", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 274, \"b\": -65, \"c\": 4, \"d\": 624}", "seed": "8198060949043722382", "semantic_fingerprint": "sha256:4780b1baa699bdfcf860787a9249d74549721dfa81588e0a6956aa10dac8fb44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002638", "prompt": "What is (7 + (-5)) / (-64) + (-56)?", "solution_steps": ["Add: 7 + (-5) = 2", "Divide: 2 / (-64) = -1/32", "Add: -1/32 + (-56) = -1793/32"], "final_answer": "-1793/32", "answer_type": "rational", "kind": "expression", "math_text": "(7 + (-5)) / (-64) + (-56)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": -64, \"d\": -56}", "seed": "5991329270567223362", "semantic_fingerprint": "sha256:20c7661c55ff049a40f1e2c5ee5710e11ccc3e1771a351b04a0de57c761e506f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002639", "prompt": "Find x: 10(x + 39) + 8 = x + 263", "solution_steps": ["Expand: 10x + 390 + 8 = x + 263", "Combine constants: 10x + 398 = x + 263", "Subtract x from both sides: 9x + 398 = 263", "Subtract 398 from both sides: 9x = -135", "Divide both sides by 9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 39) + 8 = x + 263", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 39, \"c\": 8, \"e\": 263, \"x\": -15}", "seed": "11388196496180682640", "semantic_fingerprint": "sha256:b6fdb8694ffac5d72430650de78b024ab1c70e2ea26df192ef5a86cbfe5df0be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002640", "prompt": "Solve for x: -4x = 3(x + 4) - 103", "solution_steps": ["Expand: -4x = 3x + 12 - 103", "Combine constants: -4x = 3x - 91", "Subtract 3x from both sides: -7x = -91", "Divide both sides by -7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 3(x + 4) - 103", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 4, \"e\": -103, \"x\": 13}", "seed": "596941149019679007", "semantic_fingerprint": "sha256:c267615a0b1dfe0b180046bc95bd63735bc1eef84ba5290b0276b38d7e4710cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002641", "prompt": "Evaluate: ((89 * (-47) - 93) * 0 - 16) * 19", "solution_steps": ["Multiply: 89 * (-47) = -4183", "Subtract: -4183 - 93 = -4276", "Multiply: -4276 * 0 = 0", "Subtract: 0 - 16 = -16", "Multiply: -16 * 19 = -304"], "final_answer": "-304", "answer_type": "integer", "kind": "expression", "math_text": "((89 * (-47) - 93) * 0 - 16) * 19", "variable": null, "family": "expression_5op", "shape": "(* (- (* (- (* n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -47, \"c\": 93, \"d\": 0, \"e\": 16, \"f\": 19}", "seed": "17929438113186496348", "semantic_fingerprint": "sha256:434222964113d7bf5b8dbafb3d725ba1bc38fac823af82293faeb5cdcaa6db33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002642", "prompt": "Compute: -1 / (3 / (-49 - 20)) - (-1)", "solution_steps": ["Subtract: -49 - 20 = -69", "Divide: 3 / (-69) = -1/23", "Divide: -1 / (-1/23) = 23", "Subtract: 23 - (-1) = 24"], "final_answer": "24", "answer_type": "integer", "kind": "expression", "math_text": "-1 / (3 / (-49 - 20)) - (-1)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 3, \"c\": -49, \"d\": 20, \"e\": -1}", "seed": "14802157290311937483", "semantic_fingerprint": "sha256:3e83cbf5a0c4159cfb20e91363237b63f665500c546c265a9d2aca662d12ced7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002643", "prompt": "Solve the equation 2(x + 67) + 51 = x + 181 for x.", "solution_steps": ["Expand: 2x + 134 + 51 = x + 181", "Combine constants: 2x + 185 = x + 181", "Subtract x from both sides: x + 185 = 181", "Subtract 185 from both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 67) + 51 = x + 181", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 67, \"c\": 51, \"e\": 181, \"x\": -4}", "seed": "13467115844406720738", "semantic_fingerprint": "sha256:7cb153cb8a6ca536d24d30fa34e17c842dc776f5256817e52ea5e3357dcc57df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002644", "prompt": "Solve the equation 11x - 17 = -10x - 88 for x.", "solution_steps": ["Add 10x to both sides: 21x - 17 = -88", "Add 17 to both sides: 21x = -71", "Divide both sides by 21: x = -71/21"], "final_answer": "-71/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 17 = -10x - 88", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 17, \"c\": -10, \"d\": 88}", "seed": "14576493232687240848", "semantic_fingerprint": "sha256:03a5f6ad048451a02c113dd6acdf2ddf66d864e2c5cac495ed74c74e7034e11c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002645", "prompt": "Calculate: (3 - (-41) - (-4)) / (67 / 77 / (-93))", "solution_steps": ["Subtract: 3 - (-41) = 44", "Subtract: 44 - (-4) = 48", "Divide: 67 / 77 = 67/77", "Divide: (67/77) / (-93) = -67/7161", "Divide: 48 / (-67/7161) = -343728/67"], "final_answer": "-343728/67", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (-41) - (-4)) / (67 / 77 / (-93))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) n) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -41, \"c\": -4, \"d\": 67, \"e\": 77, \"f\": -93}", "seed": "14333973926077650198", "semantic_fingerprint": "sha256:8e31d4ef68338786ad44acbb82fbb1c1b4b5bf440dc2e4e4460681e43d0e2647", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002646", "prompt": "What is 5 / (8 + (-32)) + (-276 + (1 + (-3)))?", "solution_steps": ["Add: 8 + (-32) = -24", "Divide: 5 / (-24) = -5/24", "Add: 1 + (-3) = -2", "Add: -276 + (-2) = -278", "Add: -5/24 + (-278) = -6677/24"], "final_answer": "-6677/24", "answer_type": "rational", "kind": "expression", "math_text": "5 / (8 + (-32)) + (-276 + (1 + (-3)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": -32, \"d\": -276, \"e\": 1, \"f\": -3}", "seed": "4094943278788027968", "semantic_fingerprint": "sha256:0cf4ef79ba66cac0cdd3356d0c11a6f391acd08b53fc64f706363f2a3979cc96", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002647", "prompt": "Compute: (-43 + 0 * (8 * 117)) / (-189 / (-61))", "solution_steps": ["Multiply: 8 * 117 = 936", "Multiply: 0 * 936 = 0", "Add: -43 + 0 = -43", "Divide: -189 / (-61) = 189/61", "Divide: -43 / (189/61) = -2623/189"], "final_answer": "-2623/189", "answer_type": "rational", "kind": "expression", "math_text": "(-43 + 0 * (8 * 117)) / (-189 / (-61))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n (* n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 0, \"c\": 8, \"d\": 117, \"e\": -189, \"f\": -61}", "seed": "17556370498347876730", "semantic_fingerprint": "sha256:f3193c3a7b1d03ac7d1eed83760660e46d5c384fef5b21c897c2fdb5b9586416", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002648", "prompt": "What is 1 - (-214 + (-49)) / 5?", "solution_steps": ["Add: -214 + (-49) = -263", "Divide: -263 / 5 = -263/5", "Subtract: 1 - (-263/5) = 268/5"], "final_answer": "268/5", "answer_type": "rational", "kind": "expression", "math_text": "1 - (-214 + (-49)) / 5", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -214, \"c\": -49, \"d\": 5}", "seed": "1084685980037356545", "semantic_fingerprint": "sha256:5204244716f2cd158468e24675f594aa19c724f8dadd66c0298fa6aad4b3abff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002649", "prompt": "Evaluate: 99 + 1 + (807 - 24 - 244)", "solution_steps": ["Add: 99 + 1 = 100", "Subtract: 807 - 24 = 783", "Subtract: 783 - 244 = 539", "Add: 100 + 539 = 639"], "final_answer": "639", "answer_type": "integer", "kind": "expression", "math_text": "99 + 1 + (807 - 24 - 244)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 1, \"c\": 807, \"d\": 24, \"e\": 244}", "seed": "7176985960501220908", "semantic_fingerprint": "sha256:9bcbf2205d34d2ed346b73f541f99c2376e2326458ce94f235331558730dca9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002650", "prompt": "Evaluate: -3 + (-70 - (-30)) + 35", "solution_steps": ["Subtract: -70 - (-30) = -40", "Add: -3 + (-40) = -43", "Add: -43 + 35 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-70 - (-30)) + 35", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -70, \"c\": -30, \"d\": 35}", "seed": "11243344940116479265", "semantic_fingerprint": "sha256:5eec0675a9867dd6de00136b743a37b7166a6b7836815ffa3ed63b9f561ee502", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002651", "prompt": "Evaluate: (1 - (371 + (-314))) * 796", "solution_steps": ["Add: 371 + (-314) = 57", "Subtract: 1 - 57 = -56", "Multiply: -56 * 796 = -44576"], "final_answer": "-44576", "answer_type": "integer", "kind": "expression", "math_text": "(1 - (371 + (-314))) * 796", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 371, \"c\": -314, \"d\": 796}", "seed": "234782142330597423", "semantic_fingerprint": "sha256:b2cc54b0f67a1f8a879dade7a821ec6721e131ca892e592e0190c1f8f15ca1dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002652", "prompt": "What is (-6 * (-11) + 113 * 2) / 9?", "solution_steps": ["Multiply: -6 * (-11) = 66", "Multiply: 113 * 2 = 226", "Add: 66 + 226 = 292", "Divide: 292 / 9 = 292/9"], "final_answer": "292/9", "answer_type": "rational", "kind": "expression", "math_text": "(-6 * (-11) + 113 * 2) / 9", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -11, \"c\": 113, \"d\": 2, \"e\": 9}", "seed": "49854662868686212", "semantic_fingerprint": "sha256:2c2ac9960021a28572a319815389333060912b0a32628630dabb1584cf0730d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002653", "prompt": "Evaluate: (-92 + (-12)) / (-24 + 3)", "solution_steps": ["Add: -92 + (-12) = -104", "Add: -24 + 3 = -21", "Divide: -104 / (-21) = 104/21"], "final_answer": "104/21", "answer_type": "rational", "kind": "expression", "math_text": "(-92 + (-12)) / (-24 + 3)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -12, \"c\": -24, \"d\": 3}", "seed": "4924906239239997235", "semantic_fingerprint": "sha256:4571f9057e1eedc3744b58bca5e5f1bed5207597c88846ec52fa56d826e94a95", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002654", "prompt": "Compute: (-69 - 80) * ((956 - 33 - 30) / (-6))", "solution_steps": ["Subtract: -69 - 80 = -149", "Subtract: 956 - 33 = 923", "Subtract: 923 - 30 = 893", "Divide: 893 / (-6) = -893/6", "Multiply: -149 * (-893/6) = 133057/6"], "final_answer": "133057/6", "answer_type": "rational", "kind": "expression", "math_text": "(-69 - 80) * ((956 - 33 - 30) / (-6))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (- (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 80, \"c\": 956, \"d\": 33, \"e\": 30, \"f\": -6}", "seed": "2918432847280451854", "semantic_fingerprint": "sha256:b99b0f1e040bcd5717add8d7165fe962b66b39bf5f7a47eddf95a36b21c23f14", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002655", "prompt": "What is -60 * (-838 * 13) + (-163)?", "solution_steps": ["Multiply: -838 * 13 = -10894", "Multiply: -60 * (-10894) = 653640", "Add: 653640 + (-163) = 653477"], "final_answer": "653477", "answer_type": "integer", "kind": "expression", "math_text": "-60 * (-838 * 13) + (-163)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -838, \"c\": 13, \"d\": -163}", "seed": "14913301488998347117", "semantic_fingerprint": "sha256:4a33a9b5196fb2bacb00f541d0c32b88cb6a1006dfee38b0f99962037ba0b0b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002656", "prompt": "Evaluate: -297 * 79 * (-3 / 2) * (-12)", "solution_steps": ["Multiply: -297 * 79 = -23463", "Divide: -3 / 2 = -3/2", "Multiply: -23463 * (-3/2) = 70389/2", "Multiply: (70389/2) * (-12) = -422334"], "final_answer": "-422334", "answer_type": "integer", "kind": "expression", "math_text": "-297 * 79 * (-3 / 2) * (-12)", "variable": null, "family": "expression_4op", "shape": "(* (* (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -297, \"b\": 79, \"c\": -3, \"d\": 2, \"e\": -12}", "seed": "12635115182075531015", "semantic_fingerprint": "sha256:6f935241b34913dd7b3500c6854c14d9ba0abdd55b59aab3052ea721e4c3d680", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002657", "prompt": "What is -58 * 7 + (-8 - 89)?", "solution_steps": ["Multiply: -58 * 7 = -406", "Subtract: -8 - 89 = -97", "Add: -406 + (-97) = -503"], "final_answer": "-503", "answer_type": "integer", "kind": "expression", "math_text": "-58 * 7 + (-8 - 89)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 7, \"c\": -8, \"d\": 89}", "seed": "2123826876791768737", "semantic_fingerprint": "sha256:2b4714d4277f1c3fd8d90a42305afb350f036701239e2151dbdc8b97234bcb40", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002658", "prompt": "Find x: 3(x + 14) + 926 = x + 928", "solution_steps": ["Expand: 3x + 42 + 926 = x + 928", "Combine constants: 3x + 968 = x + 928", "Subtract x from both sides: 2x + 968 = 928", "Subtract 968 from both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 14) + 926 = x + 928", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 14, \"c\": 926, \"e\": 928, \"x\": -20}", "seed": "18204269231270972833", "semantic_fingerprint": "sha256:cc300e9012b01215baf7e2bc2cce9a0428cedabe275d0af308ea24997cedf870", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002659", "prompt": "Find x: 12x - 508 = -7x - 565", "solution_steps": ["Add 7x to both sides: 19x - 508 = -565", "Add 508 to both sides: 19x = -57", "Divide both sides by 19: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 508 = -7x - 565", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 508, \"c\": -7, \"e\": -565, \"x\": -3}", "seed": "1985739180123741847", "semantic_fingerprint": "sha256:c20119599656e752bf9e1f783a07e3ff9935e81cd9afc2089da2a2ba63f0706a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002660", "prompt": "Evaluate: 120 - (-6 + 6) / (-6)", "solution_steps": ["Add: -6 + 6 = 0", "Divide: 0 / (-6) = 0", "Subtract: 120 - 0 = 120"], "final_answer": "120", "answer_type": "integer", "kind": "expression", "math_text": "120 - (-6 + 6) / (-6)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 120, \"b\": -6, \"c\": 6, \"d\": -6}", "seed": "10684287459043767349", "semantic_fingerprint": "sha256:a0fdbe1d066d6a3cd4023880a4d40cefb4f17523fcdfb39568544980c339550b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002661", "prompt": "Solve the equation 8x - 4 = -6(x - 57) for x.", "solution_steps": ["Expand: 8x - 4 = -6x + 342", "Add 6x to both sides: 14x - 4 = 342", "Add 4 to both sides: 14x = 346", "Divide both sides by 14: x = 173/7"], "final_answer": "173/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 4 = -6(x - 57)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": -6, \"d\": 57}", "seed": "8005230535581063739", "semantic_fingerprint": "sha256:aafe273845641330dad83bd4e855fcfc8b0694b8074394fee9bb5db30cad02af", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002662", "prompt": "What value of x satisfies 11(x + 2) + 61 = x + 183?", "solution_steps": ["Expand: 11x + 22 + 61 = x + 183", "Combine constants: 11x + 83 = x + 183", "Subtract x from both sides: 10x + 83 = 183", "Subtract 83 from both sides: 10x = 100", "Divide both sides by 10: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) + 61 = x + 183", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 61, \"e\": 183, \"x\": 10}", "seed": "10014276278062960113", "semantic_fingerprint": "sha256:1990fded9ffc174afa0800f0493195c64077a5aa6a721c016828c6bcc8b3f33f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002663", "prompt": "Calculate: -618 * (-9 + 0) / (63 - (-9))", "solution_steps": ["Add: -9 + 0 = -9", "Multiply: -618 * (-9) = 5562", "Subtract: 63 - (-9) = 72", "Divide: 5562 / 72 = 309/4"], "final_answer": "309/4", "answer_type": "rational", "kind": "expression", "math_text": "-618 * (-9 + 0) / (63 - (-9))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -618, \"b\": -9, \"c\": 0, \"d\": 63, \"e\": -9}", "seed": "6713524767639145999", "semantic_fingerprint": "sha256:3e7f01e95ca895c068e57cb2351a9fa469733a031511eb6964728ecd39332a27", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002664", "prompt": "Compute: 23 * (-4 * 611) * 9", "solution_steps": ["Multiply: -4 * 611 = -2444", "Multiply: 23 * (-2444) = -56212", "Multiply: -56212 * 9 = -505908"], "final_answer": "-505908", "answer_type": "integer", "kind": "expression", "math_text": "23 * (-4 * 611) * 9", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -4, \"c\": 611, \"d\": 9}", "seed": "13703570096209815419", "semantic_fingerprint": "sha256:180c0aa70627835875d186ccc8bfaeae76ad17f054dcb00aa4898c7fa7440a72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002665", "prompt": "Compute: 6 * (8 + (-3) * 30)", "solution_steps": ["Multiply: -3 * 30 = -90", "Add: 8 + (-90) = -82", "Multiply: 6 * (-82) = -492"], "final_answer": "-492", "answer_type": "integer", "kind": "expression", "math_text": "6 * (8 + (-3) * 30)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": -3, \"d\": 30}", "seed": "8163810039643741575", "semantic_fingerprint": "sha256:e78e4c45bdabe89cab7dcd0a4b528d2ba1e9777d1a77d213a661343360a055c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002666", "prompt": "Evaluate: (-5 + 26) / (3 + (-26))", "solution_steps": ["Add: -5 + 26 = 21", "Add: 3 + (-26) = -23", "Divide: 21 / (-23) = -21/23"], "final_answer": "-21/23", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + 26) / (3 + (-26))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 26, \"c\": 3, \"d\": -26}", "seed": "4024327492062585267", "semantic_fingerprint": "sha256:b4573f04a7def37129d52254bf7dd0c00fd75b8807a918636cccd8a3e7da940d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002667", "prompt": "Compute: (-42 - (-808)) / (98 - (-67)) / (-8)", "solution_steps": ["Subtract: -42 - (-808) = 766", "Subtract: 98 - (-67) = 165", "Divide: 766 / 165 = 766/165", "Divide: (766/165) / (-8) = -383/660"], "final_answer": "-383/660", "answer_type": "rational", "kind": "expression", "math_text": "(-42 - (-808)) / (98 - (-67)) / (-8)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -808, \"c\": 98, \"d\": -67, \"e\": -8}", "seed": "17529771521103765321", "semantic_fingerprint": "sha256:87ebe118e9f657a4f5c28174bac520b94da43e0aa60de7677189c83aea615a4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002668", "prompt": "Calculate: (-6 - (4 + (-71))) * (-693 + 84)", "solution_steps": ["Add: 4 + (-71) = -67", "Subtract: -6 - (-67) = 61", "Add: -693 + 84 = -609", "Multiply: 61 * (-609) = -37149"], "final_answer": "-37149", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (4 + (-71))) * (-693 + 84)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": -71, \"d\": -693, \"e\": 84}", "seed": "8976301766115437516", "semantic_fingerprint": "sha256:d5e391c986977eb804402cafc0cb3a037011806eb3156d7983599dfcc49c92df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002669", "prompt": "Calculate: 9 - (6 + 0) / (-44)", "solution_steps": ["Add: 6 + 0 = 6", "Divide: 6 / (-44) = -3/22", "Subtract: 9 - (-3/22) = 201/22"], "final_answer": "201/22", "answer_type": "rational", "kind": "expression", "math_text": "9 - (6 + 0) / (-44)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 0, \"d\": -44}", "seed": "5126631145068834940", "semantic_fingerprint": "sha256:c1d0fef10cd7f6f6a7a52b64e9c571f68cde9bf507a5e110f333da8a1d8e8972", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002670", "prompt": "Find x: 11(x + 76) = -3(x - 8) + 966", "solution_steps": ["Expand: 11x + 836 = -3(x - 8) + 966", "Expand: 11x + 836 = -3x + 24 + 966", "Combine constants: 11x + 836 = -3x + 990", "Add 3x to both sides: 14x + 836 = 990", "Subtract 836 from both sides: 14x = 154", "Divide both sides by 14: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 76) = -3(x - 8) + 966", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 76, \"c\": -3, \"d\": 8, \"f\": 966, \"x\": 11}", "seed": "5601555704106908141", "semantic_fingerprint": "sha256:3754288b5c5d63977c4cf82f4d13ec4891018e868a4a0f63b66dacd97d2a71ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002671", "prompt": "Calculate: (-9 + (-73 + 941)) * (7 / (-3))", "solution_steps": ["Add: -73 + 941 = 868", "Add: -9 + 868 = 859", "Divide: 7 / (-3) = -7/3", "Multiply: 859 * (-7/3) = -6013/3"], "final_answer": "-6013/3", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-73 + 941)) * (7 / (-3))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -73, \"c\": 941, \"d\": 7, \"e\": -3}", "seed": "6351601807541786581", "semantic_fingerprint": "sha256:538a7c962c591dfea3f47f6d406318d85cb3d043d076fab3226ce09db8ef991e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002672", "prompt": "Calculate: (994 - (4 + (-2))) / (-3) + (-7)", "solution_steps": ["Add: 4 + (-2) = 2", "Subtract: 994 - 2 = 992", "Divide: 992 / (-3) = -992/3", "Add: -992/3 + (-7) = -1013/3"], "final_answer": "-1013/3", "answer_type": "rational", "kind": "expression", "math_text": "(994 - (4 + (-2))) / (-3) + (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 994, \"b\": 4, \"c\": -2, \"d\": -3, \"e\": -7}", "seed": "8685250100026155839", "semantic_fingerprint": "sha256:bdfd1ebe05c8dc68a9b3a26384876ac297c91ae540e8e36eec57306086de8787", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002673", "prompt": "Find x: 2(x + 750) - 854 = x + 665", "solution_steps": ["Expand: 2x + 1500 - 854 = x + 665", "Combine constants: 2x + 646 = x + 665", "Subtract x from both sides: x + 646 = 665", "Subtract 646 from both sides: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 750) - 854 = x + 665", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 750, \"c\": 854, \"e\": 665, \"x\": 19}", "seed": "7723916598214495708", "semantic_fingerprint": "sha256:683856f267348250edf7b55965bf78aea6d20b216618539e0c8e709e440b9228", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002674", "prompt": "Calculate: (0 + 92) / (-501 - 55 / (-8))", "solution_steps": ["Add: 0 + 92 = 92", "Divide: 55 / (-8) = -55/8", "Subtract: -501 - (-55/8) = -3953/8", "Divide: 92 / (-3953/8) = -736/3953"], "final_answer": "-736/3953", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 92) / (-501 - 55 / (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 92, \"c\": -501, \"d\": 55, \"e\": -8}", "seed": "3622013444538459559", "semantic_fingerprint": "sha256:2d688c3c943c501c3d2dd713d69883a24d95c1b651724788a5b083b53ed3693c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002675", "prompt": "Evaluate: 19 * 7 + (822 + (-35 + (22 - 80)))", "solution_steps": ["Multiply: 19 * 7 = 133", "Subtract: 22 - 80 = -58", "Add: -35 + (-58) = -93", "Add: 822 + (-93) = 729", "Add: 133 + 729 = 862"], "final_answer": "862", "answer_type": "integer", "kind": "expression", "math_text": "19 * 7 + (822 + (-35 + (22 - 80)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 7, \"c\": 822, \"d\": -35, \"e\": 22, \"f\": 80}", "seed": "4224325021981159200", "semantic_fingerprint": "sha256:12453080e3def73286ccc6b21b4d82e3a19df4713506791cc657f2a1f53e6490", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002676", "prompt": "Solve for x: 6(x + 3) + 22 = x + 20", "solution_steps": ["Expand: 6x + 18 + 22 = x + 20", "Combine constants: 6x + 40 = x + 20", "Subtract x from both sides: 5x + 40 = 20", "Subtract 40 from both sides: 5x = -20", "Divide both sides by 5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 3) + 22 = x + 20", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 22, \"e\": 20, \"x\": -4}", "seed": "18372145084618445437", "semantic_fingerprint": "sha256:2d088e849e3742e3d353b3cf670ef7437458407e72dccd6b246cb559f9ae8b93", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002677", "prompt": "Find x: -2x = 9(x + 9) - 48", "solution_steps": ["Expand: -2x = 9x + 81 - 48", "Combine constants: -2x = 9x + 33", "Subtract 9x from both sides: -11x = 33", "Divide both sides by -11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 9(x + 9) - 48", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 9, \"e\": -48, \"x\": -3}", "seed": "15079727249762808836", "semantic_fingerprint": "sha256:0f96cdd3cc04cb149e8e72538a1e5a412eb0416954aeb876d09c4c01cdd2f9f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002678", "prompt": "Calculate: 302 * (-1) + 0 + (-493)", "solution_steps": ["Multiply: 302 * (-1) = -302", "Add: -302 + 0 = -302", "Add: -302 + (-493) = -795"], "final_answer": "-795", "answer_type": "integer", "kind": "expression", "math_text": "302 * (-1) + 0 + (-493)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 302, \"b\": -1, \"c\": 0, \"d\": -493}", "seed": "351495833730838661", "semantic_fingerprint": "sha256:09378de37771b2ccc686e3415b7335835171af346cfe9bfe1fbfc95f74a67632", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002679", "prompt": "What is -105 / 685 * 7 * (5 / (99 / 60))?", "solution_steps": ["Divide: -105 / 685 = -21/137", "Multiply: (-21/137) * 7 = -147/137", "Divide: 99 / 60 = 33/20", "Divide: 5 / (33/20) = 100/33", "Multiply: (-147/137) * (100/33) = -4900/1507"], "final_answer": "-4900/1507", "answer_type": "rational", "kind": "expression", "math_text": "-105 / 685 * 7 * (5 / (99 / 60))", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -105, \"b\": 685, \"c\": 7, \"d\": 5, \"e\": 99, \"f\": 60}", "seed": "15524380118426021091", "semantic_fingerprint": "sha256:384fb9c460a4af833158422ec0e0b74b09d4f7c7ec1af7579008d91a78503391", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002680", "prompt": "What is 68 * ((-798 + 9) / (7 / 4))?", "solution_steps": ["Add: -798 + 9 = -789", "Divide: 7 / 4 = 7/4", "Divide: -789 / (7/4) = -3156/7", "Multiply: 68 * (-3156/7) = -214608/7"], "final_answer": "-214608/7", "answer_type": "rational", "kind": "expression", "math_text": "68 * ((-798 + 9) / (7 / 4))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -798, \"c\": 9, \"d\": 7, \"e\": 4}", "seed": "16164190358525889271", "semantic_fingerprint": "sha256:1df145bc5eb6fa1b946b980719886e4001028d22a26fca32c478c34c2d8e9a83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002681", "prompt": "Solve for x: 7(x + 62) - 304 = x + 202", "solution_steps": ["Expand: 7x + 434 - 304 = x + 202", "Combine constants: 7x + 130 = x + 202", "Subtract x from both sides: 6x + 130 = 202", "Subtract 130 from both sides: 6x = 72", "Divide both sides by 6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 62) - 304 = x + 202", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 62, \"c\": 304, \"e\": 202, \"x\": 12}", "seed": "17980937289800058259", "semantic_fingerprint": "sha256:d6e05275e7812005bd07a02c074ab4e3d80f2a18b7d28830f8e0c7024c2d4404", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002682", "prompt": "Compute: 48 * (23 / (264 * 4) * 0)", "solution_steps": ["Multiply: 264 * 4 = 1056", "Divide: 23 / 1056 = 23/1056", "Multiply: (23/1056) * 0 = 0", "Multiply: 48 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "48 * (23 / (264 * 4) * 0)", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 23, \"c\": 264, \"d\": 4, \"e\": 0}", "seed": "5250946928291030065", "semantic_fingerprint": "sha256:cb78d87a5d6058b22a52ca7017195ace472b43a218eedf7db47c1d937a917a15", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002683", "prompt": "Solve for x: 6(x + 5) + 4 = x + 80", "solution_steps": ["Expand: 6x + 30 + 4 = x + 80", "Combine constants: 6x + 34 = x + 80", "Subtract x from both sides: 5x + 34 = 80", "Subtract 34 from both sides: 5x = 46", "Divide both sides by 5: x = 46/5"], "final_answer": "46/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 5) + 4 = x + 80", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 4, \"d\": 80}", "seed": "11276195965028869927", "semantic_fingerprint": "sha256:bd7a4b9b4d466dae5ba5ba5a11bbf6958d946ff8fcbf2af6ff0b7903d4d57d86", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002684", "prompt": "Solve for x: 3x = 9(x + 1) - 75", "solution_steps": ["Expand: 3x = 9x + 9 - 75", "Combine constants: 3x = 9x - 66", "Subtract 9x from both sides: -6x = -66", "Divide both sides by -6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 9(x + 1) - 75", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 1, \"e\": -75, \"x\": 11}", "seed": "5845374651435480329", "semantic_fingerprint": "sha256:2b0bacfd42b9184fcc1f6bf7c2f1edaf769a5204a20cbd9382b16e888ea327d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002685", "prompt": "Solve for x: -12x - 886 = 8x - 566", "solution_steps": ["Subtract 8x from both sides: -20x - 886 = -566", "Add 886 to both sides: -20x = 320", "Divide both sides by -20: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 886 = 8x - 566", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 886, \"c\": 8, \"e\": -566, \"x\": -16}", "seed": "5463970822324158920", "semantic_fingerprint": "sha256:db243c738b465730098dc380dccd6c8655057bccd00c3cd04e07b192dae29f3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002686", "prompt": "Compute: (76 - (-6)) * 426 / (0 - (-227))", "solution_steps": ["Subtract: 76 - (-6) = 82", "Multiply: 82 * 426 = 34932", "Subtract: 0 - (-227) = 227", "Divide: 34932 / 227 = 34932/227"], "final_answer": "34932/227", "answer_type": "rational", "kind": "expression", "math_text": "(76 - (-6)) * 426 / (0 - (-227))", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -6, \"c\": 426, \"d\": 0, \"e\": -227}", "seed": "12527467240289804750", "semantic_fingerprint": "sha256:f105da4741b99749fe4c2362968a6dc742110194d32ea67824cc979c4bb31d69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002687", "prompt": "Evaluate: (-4 * 80 - 77 - (-1) + (-82)) / 1", "solution_steps": ["Multiply: -4 * 80 = -320", "Subtract: -320 - 77 = -397", "Subtract: -397 - (-1) = -396", "Add: -396 + (-82) = -478", "Divide: -478 / 1 = -478"], "final_answer": "-478", "answer_type": "integer", "kind": "expression", "math_text": "(-4 * 80 - 77 - (-1) + (-82)) / 1", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- (- (* n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 80, \"c\": 77, \"d\": -1, \"e\": -82, \"f\": 1}", "seed": "17815516751662155555", "semantic_fingerprint": "sha256:438da5cce5dcc319e66c8dcd7bd3e0cd0441965561aa199822891c0a5eb21077", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002688", "prompt": "What value of x satisfies 9x - 7 = -3x - 199?", "solution_steps": ["Add 3x to both sides: 12x - 7 = -199", "Add 7 to both sides: 12x = -192", "Divide both sides by 12: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 7 = -3x - 199", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": -3, \"e\": -199, \"x\": -16}", "seed": "9403532350785238907", "semantic_fingerprint": "sha256:3c6d564e91f461b200855f14b8829f03d921e9be94c430e8d254311db8cc497c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002689", "prompt": "Evaluate: (64 + 974) / (54 + 627)", "solution_steps": ["Add: 64 + 974 = 1038", "Add: 54 + 627 = 681", "Divide: 1038 / 681 = 346/227"], "final_answer": "346/227", "answer_type": "rational", "kind": "expression", "math_text": "(64 + 974) / (54 + 627)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 974, \"c\": 54, \"d\": 627}", "seed": "5544877401434847370", "semantic_fingerprint": "sha256:2c6f7b455e1a8eeb918688dff683a5566ed2520bd1cee874ab1f41b9f6a80b08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002690", "prompt": "What value of x satisfies -12x - 25 = 5x - 251?", "solution_steps": ["Subtract 5x from both sides: -17x - 25 = -251", "Add 25 to both sides: -17x = -226", "Divide both sides by -17: x = 226/17"], "final_answer": "226/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 25 = 5x - 251", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 25, \"c\": 5, \"d\": 251}", "seed": "626178704986818084", "semantic_fingerprint": "sha256:27c9da160e4fb83b2315cc86898aaa73ac29ef35ebaeca556ed001b59f5dab2a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002691", "prompt": "What is 1 / 8 * 723 - 3 / (-626 * (-2))?", "solution_steps": ["Divide: 1 / 8 = 1/8", "Multiply: (1/8) * 723 = 723/8", "Multiply: -626 * (-2) = 1252", "Divide: 3 / 1252 = 3/1252", "Subtract: 723/8 - 3/1252 = 226293/2504"], "final_answer": "226293/2504", "answer_type": "rational", "kind": "expression", "math_text": "1 / 8 * 723 - 3 / (-626 * (-2))", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) n) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 8, \"c\": 723, \"d\": 3, \"e\": -626, \"f\": -2}", "seed": "13425201644585120517", "semantic_fingerprint": "sha256:864ecb46193c1f1fe9dbab813e6352799f20c2715aead2ea03bd737baa0ecb7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002692", "prompt": "What is -9 / 3 - 649 - 40 * 19?", "solution_steps": ["Divide: -9 / 3 = -3", "Subtract: -3 - 649 = -652", "Multiply: 40 * 19 = 760", "Subtract: -652 - 760 = -1412"], "final_answer": "-1412", "answer_type": "integer", "kind": "expression", "math_text": "-9 / 3 - 649 - 40 * 19", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 649, \"d\": 40, \"e\": 19}", "seed": "12151483228488507121", "semantic_fingerprint": "sha256:4f2b1a4fa3cf307dbea0fede4637fcbc88756120809f04002d9072df3d77430d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002693", "prompt": "Solve the equation 6(x - 24) - 76 = x + 51 for x.", "solution_steps": ["Expand: 6x - 144 - 76 = x + 51", "Combine constants: 6x - 220 = x + 51", "Subtract x from both sides: 5x - 220 = 51", "Add 220 to both sides: 5x = 271", "Divide both sides by 5: x = 271/5"], "final_answer": "271/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 24) - 76 = x + 51", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 24, \"c\": 76, \"d\": 51}", "seed": "4873480652435205991", "semantic_fingerprint": "sha256:4e1932dccdac106f541586e494e446fc252b3aa52c09ea85f6e83060c29e54a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002694", "prompt": "Compute: 88 + 16 / ((-5 - 99) / 996)", "solution_steps": ["Subtract: -5 - 99 = -104", "Divide: -104 / 996 = -26/249", "Divide: 16 / (-26/249) = -1992/13", "Add: 88 + (-1992/13) = -848/13"], "final_answer": "-848/13", "answer_type": "rational", "kind": "expression", "math_text": "88 + 16 / ((-5 - 99) / 996)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 16, \"c\": -5, \"d\": 99, \"e\": 996}", "seed": "13417858891565003576", "semantic_fingerprint": "sha256:0af3da41e2d6cca7bb320606044c0462d87d039479d6ccee9ea7a20ffd4f5bbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002695", "prompt": "What is -45 * 969 + (-228 - 817)?", "solution_steps": ["Multiply: -45 * 969 = -43605", "Subtract: -228 - 817 = -1045", "Add: -43605 + (-1045) = -44650"], "final_answer": "-44650", "answer_type": "integer", "kind": "expression", "math_text": "-45 * 969 + (-228 - 817)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 969, \"c\": -228, \"d\": 817}", "seed": "3766715794505900831", "semantic_fingerprint": "sha256:c8314712f7b85603e10d768c208e7df8e80ce1e4e3442c48b79eed05622fb5f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002696", "prompt": "Evaluate: 5 + (-50) * (-73) - 6 - (-78)", "solution_steps": ["Multiply: -50 * (-73) = 3650", "Add: 5 + 3650 = 3655", "Subtract: 3655 - 6 = 3649", "Subtract: 3649 - (-78) = 3727"], "final_answer": "3727", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-50) * (-73) - 6 - (-78)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -50, \"c\": -73, \"d\": 6, \"e\": -78}", "seed": "12641688668817408566", "semantic_fingerprint": "sha256:bc55f40303e9b266b9c159308a4a88a6fbe9e5af9ec674daf1a60e203f98d834", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002697", "prompt": "Compute: (-235 + (-40)) / (-5) + 91", "solution_steps": ["Add: -235 + (-40) = -275", "Divide: -275 / (-5) = 55", "Add: 55 + 91 = 146"], "final_answer": "146", "answer_type": "integer", "kind": "expression", "math_text": "(-235 + (-40)) / (-5) + 91", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -235, \"b\": -40, \"c\": -5, \"d\": 91}", "seed": "16163839318732457237", "semantic_fingerprint": "sha256:1f08d3ebc15c2d64a442a3d0a3aeb4ec156567cf85637bf96915569ff227eb81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002698", "prompt": "What is 8 * (-8) + (5 - (-373))?", "solution_steps": ["Multiply: 8 * (-8) = -64", "Subtract: 5 - (-373) = 378", "Add: -64 + 378 = 314"], "final_answer": "314", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-8) + (5 - (-373))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": 5, \"d\": -373}", "seed": "2899479698910522076", "semantic_fingerprint": "sha256:01feb5b06040b0294ef63d8ed449c783e6c9e6fc56c6a498695163f7613764db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002699", "prompt": "What value of x satisfies 4x - 53 = 10x - 47?", "solution_steps": ["Subtract 10x from both sides: -6x - 53 = -47", "Add 53 to both sides: -6x = 6", "Divide both sides by -6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 53 = 10x - 47", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 53, \"c\": 10, \"e\": -47, \"x\": -1}", "seed": "1267883369338144832", "semantic_fingerprint": "sha256:4026562ea6aca1a6b55b42fcb4934833f679334d9dd73b684f5e5dedb6731e9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002700", "prompt": "Calculate: (-46 - 6 * (-523)) / 51", "solution_steps": ["Multiply: 6 * (-523) = -3138", "Subtract: -46 - (-3138) = 3092", "Divide: 3092 / 51 = 3092/51"], "final_answer": "3092/51", "answer_type": "rational", "kind": "expression", "math_text": "(-46 - 6 * (-523)) / 51", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 6, \"c\": -523, \"d\": 51}", "seed": "15223839576870128770", "semantic_fingerprint": "sha256:66fbc79efa5d0132f43814abd0008670cc17da4e62ddf474c1f25ccb9efa846c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002701", "prompt": "Find x: 10(x + 8) + 7 = x + 24", "solution_steps": ["Expand: 10x + 80 + 7 = x + 24", "Combine constants: 10x + 87 = x + 24", "Subtract x from both sides: 9x + 87 = 24", "Subtract 87 from both sides: 9x = -63", "Divide both sides by 9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 8) + 7 = x + 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 7, \"e\": 24, \"x\": -7}", "seed": "14224533086613144186", "semantic_fingerprint": "sha256:f79acf12b6a6f5c5ecb528f3517dccc26f518ef3dca6d59c432ea17814d1c5c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002702", "prompt": "Solve for x: 2x - 911 = 8x - 35", "solution_steps": ["Subtract 8x from both sides: -6x - 911 = -35", "Add 911 to both sides: -6x = 876", "Divide both sides by -6: x = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 911 = 8x - 35", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 911, \"c\": 8, \"d\": 35}", "seed": "4642484174380679458", "semantic_fingerprint": "sha256:4d0b48fb56f6c2efdbedd434088554621b2e0baa65f4ab543ca907eb0b751ecf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002703", "prompt": "Compute: (2 - (-53) + (-42) + (-182)) * 578", "solution_steps": ["Subtract: 2 - (-53) = 55", "Add: 55 + (-42) = 13", "Add: 13 + (-182) = -169", "Multiply: -169 * 578 = -97682"], "final_answer": "-97682", "answer_type": "integer", "kind": "expression", "math_text": "(2 - (-53) + (-42) + (-182)) * 578", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -53, \"c\": -42, \"d\": -182, \"e\": 578}", "seed": "6604828502961898206", "semantic_fingerprint": "sha256:f1cb2e81d070f2b33707c88f5b33b1bcd145ffe1c8125e0a8e9ddf5edc0335bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002704", "prompt": "What value of x satisfies -7(x + 3) - 52 = x + 39?", "solution_steps": ["Expand: -7x - 21 - 52 = x + 39", "Combine constants: -7x - 73 = x + 39", "Subtract x from both sides: -8x - 73 = 39", "Add 73 to both sides: -8x = 112", "Divide both sides by -8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 3) - 52 = x + 39", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 52, \"d\": 39}", "seed": "2354960701328024680", "semantic_fingerprint": "sha256:b9b87c4312fd815d743300a6d8846a76d03c41cdc8faa5a677c6138e45e77d2a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002705", "prompt": "Solve the equation -7(x + 72) = 10(x - 517) + 7 for x.", "solution_steps": ["Expand: -7x - 504 = 10(x - 517) + 7", "Expand: -7x - 504 = 10x - 5170 + 7", "Combine constants: -7x - 504 = 10x - 5163", "Subtract 10x from both sides: -17x - 504 = -5163", "Add 504 to both sides: -17x = -4659", "Divide both sides by -17: x = 4659/17"], "final_answer": "4659/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 72) = 10(x - 517) + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 72, \"c\": 10, \"d\": 517, \"e\": 7}", "seed": "17387514826639638352", "semantic_fingerprint": "sha256:c4d9d7610482c91caa27f872f5629ec9d769f053ba9c5500c87cf8b8cb748534", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002706", "prompt": "What value of x satisfies 5(x + 7) = 7(x - 58) + 447?", "solution_steps": ["Expand: 5x + 35 = 7(x - 58) + 447", "Expand: 5x + 35 = 7x - 406 + 447", "Combine constants: 5x + 35 = 7x + 41", "Subtract 7x from both sides: -2x + 35 = 41", "Subtract 35 from both sides: -2x = 6", "Divide both sides by -2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 7) = 7(x - 58) + 447", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 7, \"d\": 58, \"f\": 447, \"x\": -3}", "seed": "5202625952251695824", "semantic_fingerprint": "sha256:186994b070869bd0baee5d240fb1387b6a29248e44c76d425ece5bebb7b61633", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002707", "prompt": "Solve for x: 8x - 3 = 12x - 5", "solution_steps": ["Subtract 12x from both sides: -4x - 3 = -5", "Add 3 to both sides: -4x = -2", "Divide both sides by -4: x = 1/2"], "final_answer": "1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 3 = 12x - 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 12, \"d\": 5}", "seed": "14286658615109258594", "semantic_fingerprint": "sha256:dc5af71eb21e705bc3c46d6472ab3abbc7351c20217d17b01122f49b13aeedd7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002708", "prompt": "Compute: -9 * (-10 * (-80)) + 662", "solution_steps": ["Multiply: -10 * (-80) = 800", "Multiply: -9 * 800 = -7200", "Add: -7200 + 662 = -6538"], "final_answer": "-6538", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-10 * (-80)) + 662", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -10, \"c\": -80, \"d\": 662}", "seed": "16975377697740926977", "semantic_fingerprint": "sha256:f6f98a632da286bd0f8126ce64d29711fab81fc159c1eefe8df1699167e28265", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002709", "prompt": "What value of x satisfies 7(x - 1) + 110 = 9(x + 7)?", "solution_steps": ["Expand: 7x - 7 + 110 = 9(x + 7)", "Expand: 7x - 7 + 110 = 9x + 63", "Combine constants: 7x + 103 = 9x + 63", "Subtract 9x from both sides: -2x + 103 = 63", "Subtract 103 from both sides: -2x = -40", "Divide both sides by -2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 1) + 110 = 9(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 9, \"d\": 7, \"f\": 110, \"x\": 20}", "seed": "4244489348352808902", "semantic_fingerprint": "sha256:4618ae95cb95c5a3b4c29bee83adaf416a6b8df9db27f31c3d6da534a8899dbe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002710", "prompt": "Compute: (-8 - (-9) - (-104)) * (-47)", "solution_steps": ["Subtract: -8 - (-9) = 1", "Subtract: 1 - (-104) = 105", "Multiply: 105 * (-47) = -4935"], "final_answer": "-4935", "answer_type": "integer", "kind": "expression", "math_text": "(-8 - (-9) - (-104)) * (-47)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -9, \"c\": -104, \"d\": -47}", "seed": "14316208118546786224", "semantic_fingerprint": "sha256:d273c2a04a3ec64af3454c514571c2fc3bc239d5eebd04b85a70dde32202d34a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002711", "prompt": "What is (-3 - (-70) - (-6)) * 28?", "solution_steps": ["Subtract: -3 - (-70) = 67", "Subtract: 67 - (-6) = 73", "Multiply: 73 * 28 = 2044"], "final_answer": "2044", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (-70) - (-6)) * 28", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -70, \"c\": -6, \"d\": 28}", "seed": "5536904450272245516", "semantic_fingerprint": "sha256:7f3a02e535bbab4c3293a4e5dbd14a377702d9e358a1906a71357ed9cba28011", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002712", "prompt": "Calculate: -1 * (-598) + (1 * 59 + (7 + 13))", "solution_steps": ["Multiply: -1 * (-598) = 598", "Multiply: 1 * 59 = 59", "Add: 7 + 13 = 20", "Add: 59 + 20 = 79", "Add: 598 + 79 = 677"], "final_answer": "677", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-598) + (1 * 59 + (7 + 13))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -598, \"c\": 1, \"d\": 59, \"e\": 7, \"f\": 13}", "seed": "16323682403590680807", "semantic_fingerprint": "sha256:6abcb87107fdc9883ec062ec5664cff45ea877a82f9fb74bb1b2863eb53c87cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002713", "prompt": "Calculate: -8 - 499 - (-7 / (-426) - (-52))", "solution_steps": ["Subtract: -8 - 499 = -507", "Divide: -7 / (-426) = 7/426", "Subtract: 7/426 - (-52) = 22159/426", "Subtract: -507 - 22159/426 = -238141/426"], "final_answer": "-238141/426", "answer_type": "rational", "kind": "expression", "math_text": "-8 - 499 - (-7 / (-426) - (-52))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 499, \"c\": -7, \"d\": -426, \"e\": -52}", "seed": "5757662049597422337", "semantic_fingerprint": "sha256:296762df3fc2b018610e4b27612d456ebe5d7f2892d191dea9d461aff1c2de57", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002714", "prompt": "What value of x satisfies -2x = 2(x + 3) + 54?", "solution_steps": ["Expand: -2x = 2x + 6 + 54", "Combine constants: -2x = 2x + 60", "Subtract 2x from both sides: -4x = 60", "Divide both sides by -4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 2(x + 3) + 54", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 3, \"d\": 54}", "seed": "7681255658809194226", "semantic_fingerprint": "sha256:3a6ef4e3d5050d5e0c1dea66c6777ac6d781f98d170a284e96092e93b5d4de2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002715", "prompt": "Calculate: -17 + 214 + (665 + 102) - 15", "solution_steps": ["Add: -17 + 214 = 197", "Add: 665 + 102 = 767", "Add: 197 + 767 = 964", "Subtract: 964 - 15 = 949"], "final_answer": "949", "answer_type": "integer", "kind": "expression", "math_text": "-17 + 214 + (665 + 102) - 15", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 214, \"c\": 665, \"d\": 102, \"e\": 15}", "seed": "3088433571391395296", "semantic_fingerprint": "sha256:a1591303f8eb89249ce7427902d94caf29d77940950e544bdcb057275d141698", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002716", "prompt": "Solve the equation -12(x + 42) + 664 = x + 199 for x.", "solution_steps": ["Expand: -12x - 504 + 664 = x + 199", "Combine constants: -12x + 160 = x + 199", "Subtract x from both sides: -13x + 160 = 199", "Subtract 160 from both sides: -13x = 39", "Divide both sides by -13: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 42) + 664 = x + 199", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 42, \"c\": 664, \"e\": 199, \"x\": -3}", "seed": "17580506327392106067", "semantic_fingerprint": "sha256:2100a04f68ecf3c20e16e11e8b1bb3a75e20d7cb4b595620f333b97644a77c89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002717", "prompt": "Evaluate: -2 / ((-6 + 4) / (-76 + 463))", "solution_steps": ["Add: -6 + 4 = -2", "Add: -76 + 463 = 387", "Divide: -2 / 387 = -2/387", "Divide: -2 / (-2/387) = 387"], "final_answer": "387", "answer_type": "integer", "kind": "expression", "math_text": "-2 / ((-6 + 4) / (-76 + 463))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": 4, \"d\": -76, \"e\": 463}", "seed": "11655001485760159550", "semantic_fingerprint": "sha256:c1e0aeee76bdeb8a19a5399831442e86b5c9c716431d6ada5287db024a63cf2a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002718", "prompt": "Calculate: (26 - (961 + 65)) * (-54 + (-53))", "solution_steps": ["Add: 961 + 65 = 1026", "Subtract: 26 - 1026 = -1000", "Add: -54 + (-53) = -107", "Multiply: -1000 * (-107) = 107000"], "final_answer": "107000", "answer_type": "integer", "kind": "expression", "math_text": "(26 - (961 + 65)) * (-54 + (-53))", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 961, \"c\": 65, \"d\": -54, \"e\": -53}", "seed": "4020475648409872843", "semantic_fingerprint": "sha256:5396f49bde3c90a4cf95dbb0a08ac3c23fd61aa0161a581d590eb0b2a9a40766", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002719", "prompt": "Calculate: -6 * (4 * (-86 * (84 - 8))) - 87", "solution_steps": ["Subtract: 84 - 8 = 76", "Multiply: -86 * 76 = -6536", "Multiply: 4 * (-6536) = -26144", "Multiply: -6 * (-26144) = 156864", "Subtract: 156864 - 87 = 156777"], "final_answer": "156777", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (4 * (-86 * (84 - 8))) - 87", "variable": null, "family": "expression_5op", "shape": "(- (* n (* n (* n (- n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": -86, \"d\": 84, \"e\": 8, \"f\": 87}", "seed": "952211030077098354", "semantic_fingerprint": "sha256:a06f1ad5c1cdba34a6ed3dc763c23a5642c1c2824cbe171382fdd5e48580caff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002720", "prompt": "What is -486 - (0 - 19) - (62 + (-1))?", "solution_steps": ["Subtract: 0 - 19 = -19", "Subtract: -486 - (-19) = -467", "Add: 62 + (-1) = 61", "Subtract: -467 - 61 = -528"], "final_answer": "-528", "answer_type": "integer", "kind": "expression", "math_text": "-486 - (0 - 19) - (62 + (-1))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -486, \"b\": 0, \"c\": 19, \"d\": 62, \"e\": -1}", "seed": "5469409295352636995", "semantic_fingerprint": "sha256:97abe76a8fe460fb37d897c8382bf21634aff238b62f2a25fa0638ca814ebe26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002721", "prompt": "What is -7 * (-9 - 56 - (-576 + 298) - 1)?", "solution_steps": ["Subtract: -9 - 56 = -65", "Add: -576 + 298 = -278", "Subtract: -65 - (-278) = 213", "Subtract: 213 - 1 = 212", "Multiply: -7 * 212 = -1484"], "final_answer": "-1484", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-9 - 56 - (-576 + 298) - 1)", "variable": null, "family": "expression_5op", "shape": "(* n (- (- (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -9, \"c\": 56, \"d\": -576, \"e\": 298, \"f\": 1}", "seed": "4692227854035611143", "semantic_fingerprint": "sha256:c07b3f97ade8c534dc0b9b83561e8d43ccfde77b86c3100fe09c1fc362dd05b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002722", "prompt": "Find x: 7x - 81 = 6(x - 15)", "solution_steps": ["Expand: 7x - 81 = 6x - 90", "Subtract 6x from both sides: x - 81 = -90", "Add 81 to both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 81 = 6(x - 15)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 15, \"e\": -81, \"x\": -9}", "seed": "15324770639900384200", "semantic_fingerprint": "sha256:9b62179f3e2ee252bd5159409af4295b836532507833207ff842426034126e29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002723", "prompt": "Calculate: (-167 + (-76)) / (-37) - (3 + (-2)) * 74", "solution_steps": ["Add: -167 + (-76) = -243", "Divide: -243 / (-37) = 243/37", "Add: 3 + (-2) = 1", "Multiply: 1 * 74 = 74", "Subtract: 243/37 - 74 = -2495/37"], "final_answer": "-2495/37", "answer_type": "rational", "kind": "expression", "math_text": "(-167 + (-76)) / (-37) - (3 + (-2)) * 74", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -167, \"b\": -76, \"c\": -37, \"d\": 3, \"e\": -2, \"f\": 74}", "seed": "15797616667594911806", "semantic_fingerprint": "sha256:d0e1052ab2ea7fc3996607ff791b5d84d4e7f1183105bc4d6a7048e14d153e2b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002724", "prompt": "Calculate: (149 - (334 + 0)) * (-73)", "solution_steps": ["Add: 334 + 0 = 334", "Subtract: 149 - 334 = -185", "Multiply: -185 * (-73) = 13505"], "final_answer": "13505", "answer_type": "integer", "kind": "expression", "math_text": "(149 - (334 + 0)) * (-73)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 149, \"b\": 334, \"c\": 0, \"d\": -73}", "seed": "13944800971190503104", "semantic_fingerprint": "sha256:7a52bb7a94627b9f8842845c58df9b2fed5fc7ecd1f54fd95b51f1765182f2a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002725", "prompt": "Compute: -56 - (9 + (0 / 126 - 4 / 8))", "solution_steps": ["Divide: 0 / 126 = 0", "Divide: 4 / 8 = 1/2", "Subtract: 0 - 1/2 = -1/2", "Add: 9 + (-1/2) = 17/2", "Subtract: -56 - 17/2 = -129/2"], "final_answer": "-129/2", "answer_type": "rational", "kind": "expression", "math_text": "-56 - (9 + (0 / 126 - 4 / 8))", "variable": null, "family": "expression_5op", "shape": "(- n (+ n (- (/ n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 9, \"c\": 0, \"d\": 126, \"e\": 4, \"f\": 8}", "seed": "11111167710230601916", "semantic_fingerprint": "sha256:8203ffdd1193d6503d0ae8efdcee7101b16c78d5332278852391916dd81f0a4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002726", "prompt": "Solve the equation 8x = 10(x + 60) - 594 for x.", "solution_steps": ["Expand: 8x = 10x + 600 - 594", "Combine constants: 8x = 10x + 6", "Subtract 10x from both sides: -2x = 6", "Divide both sides by -2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 10(x + 60) - 594", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 10, \"c\": 60, \"e\": -594, \"x\": -3}", "seed": "3609302395079863352", "semantic_fingerprint": "sha256:186c424be82d148d4d06cf9b1c25a37d8583e1e683f2f7e4548654895c708506", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002727", "prompt": "Find x: 5(x + 69) - 90 = x + 175", "solution_steps": ["Expand: 5x + 345 - 90 = x + 175", "Combine constants: 5x + 255 = x + 175", "Subtract x from both sides: 4x + 255 = 175", "Subtract 255 from both sides: 4x = -80", "Divide both sides by 4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 69) - 90 = x + 175", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 69, \"c\": 90, \"e\": 175, \"x\": -20}", "seed": "8454181683140401414", "semantic_fingerprint": "sha256:3c05cf92d05544fa92cb3b82ab27feea5f7da59a49e7483ca8a8248881c51b42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002728", "prompt": "Calculate: 9 * (-530) + 48 * 9", "solution_steps": ["Multiply: 9 * (-530) = -4770", "Multiply: 48 * 9 = 432", "Add: -4770 + 432 = -4338"], "final_answer": "-4338", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-530) + 48 * 9", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -530, \"c\": 48, \"d\": 9}", "seed": "4998739031369441090", "semantic_fingerprint": "sha256:68a64ab4fa6f834a7448c1cd6675cd3f01da62185f2566f79fbd9d18cb29d35a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002729", "prompt": "Compute: (2 * (42 + 938) + (-9)) * (-68)", "solution_steps": ["Add: 42 + 938 = 980", "Multiply: 2 * 980 = 1960", "Add: 1960 + (-9) = 1951", "Multiply: 1951 * (-68) = -132668"], "final_answer": "-132668", "answer_type": "integer", "kind": "expression", "math_text": "(2 * (42 + 938) + (-9)) * (-68)", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 42, \"c\": 938, \"d\": -9, \"e\": -68}", "seed": "11386734560962450166", "semantic_fingerprint": "sha256:2c003e276fb7dfffea953b861c204808e735228d4bbf129cb07ab5e5748fb93e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002730", "prompt": "Find x: 2(x + 235) = 7(x - 24) + 543", "solution_steps": ["Expand: 2x + 470 = 7(x - 24) + 543", "Expand: 2x + 470 = 7x - 168 + 543", "Combine constants: 2x + 470 = 7x + 375", "Subtract 7x from both sides: -5x + 470 = 375", "Subtract 470 from both sides: -5x = -95", "Divide both sides by -5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 235) = 7(x - 24) + 543", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 235, \"c\": 7, \"d\": 24, \"f\": 543, \"x\": 19}", "seed": "14551756509230474341", "semantic_fingerprint": "sha256:42f0923292efa3e51da4e656606427956a3338404bd47e4993190633fd02320b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002731", "prompt": "Solve for x: 10(x + 72) = -2(x - 1) + 694", "solution_steps": ["Expand: 10x + 720 = -2(x - 1) + 694", "Expand: 10x + 720 = -2x + 2 + 694", "Combine constants: 10x + 720 = -2x + 696", "Add 2x to both sides: 12x + 720 = 696", "Subtract 720 from both sides: 12x = -24", "Divide both sides by 12: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 72) = -2(x - 1) + 694", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 72, \"c\": -2, \"d\": 1, \"f\": 694, \"x\": -2}", "seed": "2674700632943982296", "semantic_fingerprint": "sha256:0dbc487bc541440bb56263477121061a4660f34f50c29ffc97a1f6e70db567b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002732", "prompt": "Solve the equation 3x - 406 = 6(x - 78) for x.", "solution_steps": ["Expand: 3x - 406 = 6x - 468", "Subtract 6x from both sides: -3x - 406 = -468", "Add 406 to both sides: -3x = -62", "Divide both sides by -3: x = 62/3"], "final_answer": "62/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 406 = 6(x - 78)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 406, \"c\": 6, \"d\": 78}", "seed": "7238477411574717068", "semantic_fingerprint": "sha256:e72fbf671db28f4b259f3d92a6948d7c63e5b8e442428a46da98e10f24ff7c72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002733", "prompt": "What is -68 * (0 / (-6) - 33) * 192?", "solution_steps": ["Divide: 0 / (-6) = 0", "Subtract: 0 - 33 = -33", "Multiply: -68 * (-33) = 2244", "Multiply: 2244 * 192 = 430848"], "final_answer": "430848", "answer_type": "integer", "kind": "expression", "math_text": "-68 * (0 / (-6) - 33) * 192", "variable": null, "family": "expression_4op", "shape": "(* (* n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 0, \"c\": -6, \"d\": 33, \"e\": 192}", "seed": "16017990994183308402", "semantic_fingerprint": "sha256:5eefd094d3cb98c81808a6a8c2ea054164a15f43819cab1c3ea12a0cfd221502", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002734", "prompt": "Solve for x: 5(x + 46) - 14 = x + 208", "solution_steps": ["Expand: 5x + 230 - 14 = x + 208", "Combine constants: 5x + 216 = x + 208", "Subtract x from both sides: 4x + 216 = 208", "Subtract 216 from both sides: 4x = -8", "Divide both sides by 4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 46) - 14 = x + 208", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 46, \"c\": 14, \"e\": 208, \"x\": -2}", "seed": "6834156568459847760", "semantic_fingerprint": "sha256:c7ecb98a3a54dec08b967099c212e8f445d9f696cca4825e7ca321efdeacd7ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002735", "prompt": "Find x: 10x - 574 = 12(x - 46)", "solution_steps": ["Expand: 10x - 574 = 12x - 552", "Subtract 12x from both sides: -2x - 574 = -552", "Add 574 to both sides: -2x = 22", "Divide both sides by -2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 574 = 12(x - 46)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 12, \"c\": 46, \"e\": -574, \"x\": -11}", "seed": "10074940517519219931", "semantic_fingerprint": "sha256:3c4944680220763e0c9669fe6fc5736b1e78687aaf85774edd7a9d2b1d4a3cce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002736", "prompt": "Find x: -2x = 7(x + 751) - 814", "solution_steps": ["Expand: -2x = 7x + 5257 - 814", "Combine constants: -2x = 7x + 4443", "Subtract 7x from both sides: -9x = 4443", "Divide both sides by -9: x = -1481/3"], "final_answer": "-1481/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x = 7(x + 751) - 814", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 751, \"d\": 814}", "seed": "12971041858072615902", "semantic_fingerprint": "sha256:b5800e2847128039558f631bfb2289c13e9953886d0d1d1f90531a755f94384a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002737", "prompt": "Compute: -77 - (-41 - (-179) * (-47)) / 949", "solution_steps": ["Multiply: -179 * (-47) = 8413", "Subtract: -41 - 8413 = -8454", "Divide: -8454 / 949 = -8454/949", "Subtract: -77 - (-8454/949) = -64619/949"], "final_answer": "-64619/949", "answer_type": "rational", "kind": "expression", "math_text": "-77 - (-41 - (-179) * (-47)) / 949", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -41, \"c\": -179, \"d\": -47, \"e\": 949}", "seed": "4175442232460536887", "semantic_fingerprint": "sha256:1a401abadb671eb2ccd23ea746a015c6a10e9863efa452d83b64f2e49d711efe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002738", "prompt": "Compute: 11 / 195 * 605 + 1 * (-199) + 2", "solution_steps": ["Divide: 11 / 195 = 11/195", "Multiply: (11/195) * 605 = 1331/39", "Multiply: 1 * (-199) = -199", "Add: 1331/39 + (-199) = -6430/39", "Add: -6430/39 + 2 = -6352/39"], "final_answer": "-6352/39", "answer_type": "rational", "kind": "expression", "math_text": "11 / 195 * 605 + 1 * (-199) + 2", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 195, \"c\": 605, \"d\": 1, \"e\": -199, \"f\": 2}", "seed": "17024164472256155939", "semantic_fingerprint": "sha256:0f20a86968a687339e78bb69e95247142dd89b3932cab3023551c16d1495244c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002739", "prompt": "Find x: -2x = 4(x + 84) - 282", "solution_steps": ["Expand: -2x = 4x + 336 - 282", "Combine constants: -2x = 4x + 54", "Subtract 4x from both sides: -6x = 54", "Divide both sides by -6: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 4(x + 84) - 282", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 84, \"e\": -282, \"x\": -9}", "seed": "6124130927528680160", "semantic_fingerprint": "sha256:5975286bed112d75efe8f052933613776ba988ce8c4f3ac3e49574b3eb21e10b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002740", "prompt": "Compute: (-641 - 3 - (-864)) * 8", "solution_steps": ["Subtract: -641 - 3 = -644", "Subtract: -644 - (-864) = 220", "Multiply: 220 * 8 = 1760"], "final_answer": "1760", "answer_type": "integer", "kind": "expression", "math_text": "(-641 - 3 - (-864)) * 8", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -641, \"b\": 3, \"c\": -864, \"d\": 8}", "seed": "8477302140700748739", "semantic_fingerprint": "sha256:c3f0f1c96da8c034a87ff1a29dcc5170649a9e776d2f8f29167e6301661b1be5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002741", "prompt": "What is -58 - (-895 - 36) * (-12) + 30?", "solution_steps": ["Subtract: -895 - 36 = -931", "Multiply: -931 * (-12) = 11172", "Subtract: -58 - 11172 = -11230", "Add: -11230 + 30 = -11200"], "final_answer": "-11200", "answer_type": "integer", "kind": "expression", "math_text": "-58 - (-895 - 36) * (-12) + 30", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -895, \"c\": 36, \"d\": -12, \"e\": 30}", "seed": "2613670863217159292", "semantic_fingerprint": "sha256:77bc462fd1926aacf8c85b83b44c59bc3f5cfa90cbf4ef087057dc1ea9fbe824", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002742", "prompt": "Solve the equation 7(x + 65) + 62 = x + 475 for x.", "solution_steps": ["Expand: 7x + 455 + 62 = x + 475", "Combine constants: 7x + 517 = x + 475", "Subtract x from both sides: 6x + 517 = 475", "Subtract 517 from both sides: 6x = -42", "Divide both sides by 6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 65) + 62 = x + 475", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 65, \"c\": 62, \"e\": 475, \"x\": -7}", "seed": "10131768652226768216", "semantic_fingerprint": "sha256:940e2deba45d4558cbe500403875a30906f0e8d2222ab7d5d68b900fc05e83e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002743", "prompt": "Find x: 9x - 90 = 11(x - 8)", "solution_steps": ["Expand: 9x - 90 = 11x - 88", "Subtract 11x from both sides: -2x - 90 = -88", "Add 90 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 90 = 11(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 8, \"e\": -90, \"x\": -1}", "seed": "16473031313453081017", "semantic_fingerprint": "sha256:d469eb1f2aee2be4e18c2c04d0754d0e7ad6b370dd3e43893918b9d5465792b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002744", "prompt": "Solve for x: 3(x + 35) = 12(x - 5) + 255", "solution_steps": ["Expand: 3x + 105 = 12(x - 5) + 255", "Expand: 3x + 105 = 12x - 60 + 255", "Combine constants: 3x + 105 = 12x + 195", "Subtract 12x from both sides: -9x + 105 = 195", "Subtract 105 from both sides: -9x = 90", "Divide both sides by -9: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 35) = 12(x - 5) + 255", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 35, \"c\": 12, \"d\": 5, \"f\": 255, \"x\": -10}", "seed": "14049815870153818348", "semantic_fingerprint": "sha256:8b281c2820e4cfcc5d3c34a79355092ffb3d4da74653b223f27b505cbf6d26a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002745", "prompt": "Solve the equation 5x - 7 = 4x - 16 for x.", "solution_steps": ["Subtract 4x from both sides: x - 7 = -16", "Add 7 to both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 7 = 4x - 16", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 4, \"e\": -16, \"x\": -9}", "seed": "11679632739644772152", "semantic_fingerprint": "sha256:d302edd3be03a79ee0bb2480209641c70a98f8bc62c60f73728bcdfc9a0aca17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002746", "prompt": "What value of x satisfies 12(x + 19) - 6 = x + 123?", "solution_steps": ["Expand: 12x + 228 - 6 = x + 123", "Combine constants: 12x + 222 = x + 123", "Subtract x from both sides: 11x + 222 = 123", "Subtract 222 from both sides: 11x = -99", "Divide both sides by 11: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 19) - 6 = x + 123", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 19, \"c\": 6, \"e\": 123, \"x\": -9}", "seed": "5044335422770012629", "semantic_fingerprint": "sha256:f781b5a92c06da9cd18b6ec8af0e5208c15f8fa4e21b341ac04bc93d0069d5b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002747", "prompt": "Compute: 48 / (-2) * (0 / (-1))", "solution_steps": ["Divide: 48 / (-2) = -24", "Divide: 0 / (-1) = 0", "Multiply: -24 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "48 / (-2) * (0 / (-1))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -2, \"c\": 0, \"d\": -1}", "seed": "12854363840280302269", "semantic_fingerprint": "sha256:13e2e7ab8c4ecb2891b331a817a3bef10b0599706effd0ddd06506a8612011cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002748", "prompt": "Compute: -922 / (-4 / 4) * (-240 / 218)", "solution_steps": ["Divide: -4 / 4 = -1", "Divide: -922 / (-1) = 922", "Divide: -240 / 218 = -120/109", "Multiply: 922 * (-120/109) = -110640/109"], "final_answer": "-110640/109", "answer_type": "rational", "kind": "expression", "math_text": "-922 / (-4 / 4) * (-240 / 218)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -922, \"b\": -4, \"c\": 4, \"d\": -240, \"e\": 218}", "seed": "11506565306187307541", "semantic_fingerprint": "sha256:f3ffb8492dc1ab427f72d3e8f769952a7082db1ce8831f60e3c8105929e528e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002749", "prompt": "Calculate: 2 * (-391) + 22 * 7", "solution_steps": ["Multiply: 2 * (-391) = -782", "Multiply: 22 * 7 = 154", "Add: -782 + 154 = -628"], "final_answer": "-628", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-391) + 22 * 7", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -391, \"c\": 22, \"d\": 7}", "seed": "9145169984115937886", "semantic_fingerprint": "sha256:2259461b1dc1bf9f74b282d2dea8d88329b40b202f03819f6db68ba6e745d8a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002750", "prompt": "Solve the equation 2(x - 965) - 251 = x + 63 for x.", "solution_steps": ["Expand: 2x - 1930 - 251 = x + 63", "Combine constants: 2x - 2181 = x + 63", "Subtract x from both sides: x - 2181 = 63", "Add 2181 to both sides: x = 2244"], "final_answer": "2244", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 965) - 251 = x + 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 965, \"c\": 251, \"d\": 63}", "seed": "10137296484503671081", "semantic_fingerprint": "sha256:fa7fdb9c336ddffbe472b60057171304d41f5aa0f3b3d3bb35236682b8a727cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002751", "prompt": "Evaluate: (60 - 1 / (-47)) * (-72 / (-54))", "solution_steps": ["Divide: 1 / (-47) = -1/47", "Subtract: 60 - (-1/47) = 2821/47", "Divide: -72 / (-54) = 4/3", "Multiply: (2821/47) * (4/3) = 11284/141"], "final_answer": "11284/141", "answer_type": "rational", "kind": "expression", "math_text": "(60 - 1 / (-47)) * (-72 / (-54))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 1, \"c\": -47, \"d\": -72, \"e\": -54}", "seed": "5459834782342336403", "semantic_fingerprint": "sha256:551dc4b1e0c0f20e751f22e97c91a743fe664bc6378fca22c33097b04082358c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002752", "prompt": "Calculate: -8 + (14 - (24 + (-9)))", "solution_steps": ["Add: 24 + (-9) = 15", "Subtract: 14 - 15 = -1", "Add: -8 + (-1) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (14 - (24 + (-9)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 14, \"c\": 24, \"d\": -9}", "seed": "3516786070025083589", "semantic_fingerprint": "sha256:31e3c563b4c588b7dc46b1e8c5621d0d3f98c8680bbe5a81c29cc03bb83e4be4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002753", "prompt": "Evaluate: (61 - (2 + 8)) * 589", "solution_steps": ["Add: 2 + 8 = 10", "Subtract: 61 - 10 = 51", "Multiply: 51 * 589 = 30039"], "final_answer": "30039", "answer_type": "integer", "kind": "expression", "math_text": "(61 - (2 + 8)) * 589", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 2, \"c\": 8, \"d\": 589}", "seed": "15342721320503704862", "semantic_fingerprint": "sha256:8a14a1fd6f32124703ec320d1a6e43a1ab7f2ecd99257fd7227c8c174a7fd281", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002754", "prompt": "What is 43 * (28 / ((56 + (-7)) / (-605)))?", "solution_steps": ["Add: 56 + (-7) = 49", "Divide: 49 / (-605) = -49/605", "Divide: 28 / (-49/605) = -2420/7", "Multiply: 43 * (-2420/7) = -104060/7"], "final_answer": "-104060/7", "answer_type": "rational", "kind": "expression", "math_text": "43 * (28 / ((56 + (-7)) / (-605)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (/ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 28, \"c\": 56, \"d\": -7, \"e\": -605}", "seed": "5444968954034145393", "semantic_fingerprint": "sha256:39e921a77fb621cd8fe9e4acf347aa80ba340e89524a5471ae16d0d818b170ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002755", "prompt": "Evaluate: 96 - (71 + (-301 - (-451)) / 951)", "solution_steps": ["Subtract: -301 - (-451) = 150", "Divide: 150 / 951 = 50/317", "Add: 71 + 50/317 = 22557/317", "Subtract: 96 - 22557/317 = 7875/317"], "final_answer": "7875/317", "answer_type": "rational", "kind": "expression", "math_text": "96 - (71 + (-301 - (-451)) / 951)", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 71, \"c\": -301, \"d\": -451, \"e\": 951}", "seed": "10917549926310333635", "semantic_fingerprint": "sha256:6ca74422d6bae6bad76a08541f4a3ca5f0a2333c1d04694bf90ca35e63b21deb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002756", "prompt": "Evaluate: 31 / 36 / (-5 + 5 / (-53))", "solution_steps": ["Divide: 31 / 36 = 31/36", "Divide: 5 / (-53) = -5/53", "Add: -5 + (-5/53) = -270/53", "Divide: (31/36) / (-270/53) = -1643/9720"], "final_answer": "-1643/9720", "answer_type": "rational", "kind": "expression", "math_text": "31 / 36 / (-5 + 5 / (-53))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 36, \"c\": -5, \"d\": 5, \"e\": -53}", "seed": "893601294109664428", "semantic_fingerprint": "sha256:fd873452af5abbd8a65940c5c0c1406fa3488788fc8a81ca73b07befa14e45e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002757", "prompt": "What value of x satisfies -5x - 2 = 8x - 2?", "solution_steps": ["Subtract 8x from both sides: -13x - 2 = -2", "Add 2 to both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 2 = 8x - 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 8, \"e\": -2, \"x\": 0}", "seed": "6554326013554347821", "semantic_fingerprint": "sha256:973f065213e696e1b0c6ca89df3c4d4596d900b01927e4074a44a8e22b2cbdc3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002758", "prompt": "What is 0 + (-585 - 44) + 1?", "solution_steps": ["Subtract: -585 - 44 = -629", "Add: 0 + (-629) = -629", "Add: -629 + 1 = -628"], "final_answer": "-628", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-585 - 44) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -585, \"c\": 44, \"d\": 1}", "seed": "17890721626714471337", "semantic_fingerprint": "sha256:37f6b3439e0e32327c2c256bc76461b652d56ce47da2f2b8410d38365c452715", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002759", "prompt": "Solve the equation 7(x + 8) - 94 = x + 40 for x.", "solution_steps": ["Expand: 7x + 56 - 94 = x + 40", "Combine constants: 7x - 38 = x + 40", "Subtract x from both sides: 6x - 38 = 40", "Add 38 to both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 8) - 94 = x + 40", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 94, \"e\": 40, \"x\": 13}", "seed": "16038213653953642692", "semantic_fingerprint": "sha256:b3f6159b3d5cd85770f12790faeb27ab8e11133cc78a108cd585fbefa20ce91d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002760", "prompt": "Find x: 5(x - 915) - 8 = x + 3", "solution_steps": ["Expand: 5x - 4575 - 8 = x + 3", "Combine constants: 5x - 4583 = x + 3", "Subtract x from both sides: 4x - 4583 = 3", "Add 4583 to both sides: 4x = 4586", "Divide both sides by 4: x = 2293/2"], "final_answer": "2293/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 915) - 8 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 915, \"c\": 8, \"d\": 3}", "seed": "8775667392151255757", "semantic_fingerprint": "sha256:c302f15ac46c9a275ea0d4f53e8978c48bf87e09650e8e603f48bf77fc3716e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002761", "prompt": "Solve for x: 3x - 708 = 10x - 834", "solution_steps": ["Subtract 10x from both sides: -7x - 708 = -834", "Add 708 to both sides: -7x = -126", "Divide both sides by -7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 708 = 10x - 834", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 708, \"c\": 10, \"e\": -834, \"x\": 18}", "seed": "1882065058107008265", "semantic_fingerprint": "sha256:1a85fdcab4c5b0715903beccaf0015973e000655407945a41ac9a2a9493ad418", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002762", "prompt": "Calculate: 62 * (-1) + (-5 - (-27))", "solution_steps": ["Multiply: 62 * (-1) = -62", "Subtract: -5 - (-27) = 22", "Add: -62 + 22 = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "expression", "math_text": "62 * (-1) + (-5 - (-27))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -1, \"c\": -5, \"d\": -27}", "seed": "8516438863818134707", "semantic_fingerprint": "sha256:fda21e7f388b44072bb8d27b5be157d37d44b81fd06dcbaa11655009715571ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002763", "prompt": "Calculate: (3 - (-64) - 577) * 35", "solution_steps": ["Subtract: 3 - (-64) = 67", "Subtract: 67 - 577 = -510", "Multiply: -510 * 35 = -17850"], "final_answer": "-17850", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (-64) - 577) * 35", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -64, \"c\": 577, \"d\": 35}", "seed": "2425038902745814032", "semantic_fingerprint": "sha256:2b5b7ba82bafdb35d07061d651f3c9f92ae58ca5624e506d9bd233669683aaff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002764", "prompt": "Solve the equation -10x = -11(x + 93) - 638 for x.", "solution_steps": ["Expand: -10x = -11x - 1023 - 638", "Combine constants: -10x = -11x - 1661", "Add 11x to both sides: x = -1661"], "final_answer": "-1661", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = -11(x + 93) - 638", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -11, \"c\": 93, \"d\": 638}", "seed": "16625214700224777214", "semantic_fingerprint": "sha256:487f39647a24dbb8f56ba62e2c7160d56e9ec37f96d38c1f9692f01e87501f04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002765", "prompt": "Calculate: -121 * (69 / 46 / 4) / (-15)", "solution_steps": ["Divide: 69 / 46 = 3/2", "Divide: (3/2) / 4 = 3/8", "Multiply: -121 * (3/8) = -363/8", "Divide: (-363/8) / (-15) = 121/40"], "final_answer": "121/40", "answer_type": "rational", "kind": "expression", "math_text": "-121 * (69 / 46 / 4) / (-15)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (/ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -121, \"b\": 69, \"c\": 46, \"d\": 4, \"e\": -15}", "seed": "8526141191526514783", "semantic_fingerprint": "sha256:73a384d161dde03d30445dffbf239dbf9f4ceeb51be577ae60f7d6266181384c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002766", "prompt": "What value of x satisfies -12x = 9(x + 6) + 72?", "solution_steps": ["Expand: -12x = 9x + 54 + 72", "Combine constants: -12x = 9x + 126", "Subtract 9x from both sides: -21x = 126", "Divide both sides by -21: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 9(x + 6) + 72", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 6, \"e\": 72, \"x\": -6}", "seed": "12267105036976193771", "semantic_fingerprint": "sha256:11ff01de0e13e93b0e29b1adf7c425d960e8413d883be0bd2d49fceb32e832fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002767", "prompt": "Compute: -418 / (1 / ((47 + (-2)) / (374 / 2)))", "solution_steps": ["Add: 47 + (-2) = 45", "Divide: 374 / 2 = 187", "Divide: 45 / 187 = 45/187", "Divide: 1 / (45/187) = 187/45", "Divide: -418 / (187/45) = -1710/17"], "final_answer": "-1710/17", "answer_type": "rational", "kind": "expression", "math_text": "-418 / (1 / ((47 + (-2)) / (374 / 2)))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ n (/ (+ n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -418, \"b\": 1, \"c\": 47, \"d\": -2, \"e\": 374, \"f\": 2}", "seed": "17496394434050939644", "semantic_fingerprint": "sha256:cc5375fe532a7d5f3f97e3bd85c0494a390cfc98bf8f71803ef4aee57afad1f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002768", "prompt": "Evaluate: (-6 - (-29)) / 6 + (2 + (-32))", "solution_steps": ["Subtract: -6 - (-29) = 23", "Divide: 23 / 6 = 23/6", "Add: 2 + (-32) = -30", "Add: 23/6 + (-30) = -157/6"], "final_answer": "-157/6", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - (-29)) / 6 + (2 + (-32))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -29, \"c\": 6, \"d\": 2, \"e\": -32}", "seed": "15076390341921936704", "semantic_fingerprint": "sha256:f897a139d896027b160b404df482c6a9efabe81c3d0ff5344bd886fda3fde253", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002769", "prompt": "Solve the equation 2(x + 208) - 2 = x + 426 for x.", "solution_steps": ["Expand: 2x + 416 - 2 = x + 426", "Combine constants: 2x + 414 = x + 426", "Subtract x from both sides: x + 414 = 426", "Subtract 414 from both sides: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 208) - 2 = x + 426", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 208, \"c\": 2, \"e\": 426, \"x\": 12}", "seed": "10448547267861479586", "semantic_fingerprint": "sha256:444df9b3a40f778e32199c12da6f14746e4c5d18fa69c7777539cb13159967c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002770", "prompt": "Evaluate: (574 / (-355) * 0 - (-80)) / 576", "solution_steps": ["Divide: 574 / (-355) = -574/355", "Multiply: (-574/355) * 0 = 0", "Subtract: 0 - (-80) = 80", "Divide: 80 / 576 = 5/36"], "final_answer": "5/36", "answer_type": "rational", "kind": "expression", "math_text": "(574 / (-355) * 0 - (-80)) / 576", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 574, \"b\": -355, \"c\": 0, \"d\": -80, \"e\": 576}", "seed": "12744916744349583984", "semantic_fingerprint": "sha256:1e82ba0808ef88f4d6e8b0346e9f5bf10801f3740341e9a03eaa2a7347ba9d3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002771", "prompt": "Find x: 4(x + 79) + 88 = x + 413", "solution_steps": ["Expand: 4x + 316 + 88 = x + 413", "Combine constants: 4x + 404 = x + 413", "Subtract x from both sides: 3x + 404 = 413", "Subtract 404 from both sides: 3x = 9", "Divide both sides by 3: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 79) + 88 = x + 413", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 79, \"c\": 88, \"e\": 413, \"x\": 3}", "seed": "16637893795998119571", "semantic_fingerprint": "sha256:910727c398ff597fead8a4f6790908c4bc03e826514637eae8274ba0f9aeec10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002772", "prompt": "Calculate: -76 * (-9) + (-428) * (-2)", "solution_steps": ["Multiply: -76 * (-9) = 684", "Multiply: -428 * (-2) = 856", "Add: 684 + 856 = 1540"], "final_answer": "1540", "answer_type": "integer", "kind": "expression", "math_text": "-76 * (-9) + (-428) * (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -9, \"c\": -428, \"d\": -2}", "seed": "13101371819284880659", "semantic_fingerprint": "sha256:81658a8a9881a2729febb54f11ddc9be39286e5b3b0eff612d4cdfeeabf820ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002773", "prompt": "Find x: 7x - 16 = 11x - 4", "solution_steps": ["Subtract 11x from both sides: -4x - 16 = -4", "Add 16 to both sides: -4x = 12", "Divide both sides by -4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 16 = 11x - 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 16, \"c\": 11, \"d\": 4}", "seed": "9547043689237227351", "semantic_fingerprint": "sha256:c6ef8d53c1790dadd6500889c86de1ee69ce8b2fe6038f07fbf4bf2a92822ec0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002774", "prompt": "Solve the equation 4(x - 89) + 3 = -10(x + 2) for x.", "solution_steps": ["Expand: 4x - 356 + 3 = -10(x + 2)", "Expand: 4x - 356 + 3 = -10x - 20", "Combine constants: 4x - 353 = -10x - 20", "Add 10x to both sides: 14x - 353 = -20", "Add 353 to both sides: 14x = 333", "Divide both sides by 14: x = 333/14"], "final_answer": "333/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 89) + 3 = -10(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 89, \"c\": 3, \"d\": -10, \"e\": 2}", "seed": "9925082081276483484", "semantic_fingerprint": "sha256:b3df90f54899786b39b3dcf49994b240597fdaf3ce5a2aeacc1fe52de74711ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002775", "prompt": "Compute: (-848 - (-1)) * (9 - (-71)) / 55 * 68", "solution_steps": ["Subtract: -848 - (-1) = -847", "Subtract: 9 - (-71) = 80", "Multiply: -847 * 80 = -67760", "Divide: -67760 / 55 = -1232", "Multiply: -1232 * 68 = -83776"], "final_answer": "-83776", "answer_type": "integer", "kind": "expression", "math_text": "(-848 - (-1)) * (9 - (-71)) / 55 * 68", "variable": null, "family": "expression_5op", "shape": "(* (/ (* (- n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -848, \"b\": -1, \"c\": 9, \"d\": -71, \"e\": 55, \"f\": 68}", "seed": "4151744341112565871", "semantic_fingerprint": "sha256:657a5489ac9cf8130b024249ab131d65e25c9d0399a1edcedc025dfff3d1e206", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002776", "prompt": "Find x: -9(x + 1) - 755 = x + 68", "solution_steps": ["Expand: -9x - 9 - 755 = x + 68", "Combine constants: -9x - 764 = x + 68", "Subtract x from both sides: -10x - 764 = 68", "Add 764 to both sides: -10x = 832", "Divide both sides by -10: x = -416/5"], "final_answer": "-416/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 1) - 755 = x + 68", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": 755, \"d\": 68}", "seed": "1805483748688365889", "semantic_fingerprint": "sha256:a76c8ad3fa46b2fb58f01afbd72328c1cc997dcfb5b198cc16345b985106da34", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002777", "prompt": "Calculate: 4 + (10 - 56) + 91", "solution_steps": ["Subtract: 10 - 56 = -46", "Add: 4 + (-46) = -42", "Add: -42 + 91 = 49"], "final_answer": "49", "answer_type": "integer", "kind": "expression", "math_text": "4 + (10 - 56) + 91", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 10, \"c\": 56, \"d\": 91}", "seed": "11410819512263675813", "semantic_fingerprint": "sha256:3c4a2a63cd59363106c58a548aabdd34ef1a30ad301996410a2d285b86214898", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002778", "prompt": "Solve the equation -7(x - 1) - 47 = x + 3 for x.", "solution_steps": ["Expand: -7x + 7 - 47 = x + 3", "Combine constants: -7x - 40 = x + 3", "Subtract x from both sides: -8x - 40 = 3", "Add 40 to both sides: -8x = 43", "Divide both sides by -8: x = -43/8"], "final_answer": "-43/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 1) - 47 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 47, \"d\": 3}", "seed": "10241255854961943894", "semantic_fingerprint": "sha256:799579fe1455c12ce252f518b42d3b8ecd40b05e8ad720ff476f7e763bff9c6f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002779", "prompt": "Find x: -7x - 276 = 6(x - 7)", "solution_steps": ["Expand: -7x - 276 = 6x - 42", "Subtract 6x from both sides: -13x - 276 = -42", "Add 276 to both sides: -13x = 234", "Divide both sides by -13: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 276 = 6(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 7, \"e\": -276, \"x\": -18}", "seed": "1908949912121020353", "semantic_fingerprint": "sha256:ffea000d1ffbaaa282a8e5d65246e085c34408346ec3b6c1bb8f1b8373e21bba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002780", "prompt": "What is 2 - 6 * (960 + 385) - (40 - 25)?", "solution_steps": ["Add: 960 + 385 = 1345", "Multiply: 6 * 1345 = 8070", "Subtract: 2 - 8070 = -8068", "Subtract: 40 - 25 = 15", "Subtract: -8068 - 15 = -8083"], "final_answer": "-8083", "answer_type": "integer", "kind": "expression", "math_text": "2 - 6 * (960 + 385) - (40 - 25)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n (+ n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 960, \"d\": 385, \"e\": 40, \"f\": 25}", "seed": "14387552185663581964", "semantic_fingerprint": "sha256:ac7ffcf1cf9ae17105ae0fd6064e3602fa12349dbc0360db992d74e958b429f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002781", "prompt": "Evaluate: -816 + (735 - 7) + (-107)", "solution_steps": ["Subtract: 735 - 7 = 728", "Add: -816 + 728 = -88", "Add: -88 + (-107) = -195"], "final_answer": "-195", "answer_type": "integer", "kind": "expression", "math_text": "-816 + (735 - 7) + (-107)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -816, \"b\": 735, \"c\": 7, \"d\": -107}", "seed": "10087964583851071309", "semantic_fingerprint": "sha256:e419476eb170375e98c8921b8ebb3f211104bace383d82849115fdaff1788bfb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002782", "prompt": "What is ((-8 - 13) * 1 - 7) * 3?", "solution_steps": ["Subtract: -8 - 13 = -21", "Multiply: -21 * 1 = -21", "Subtract: -21 - 7 = -28", "Multiply: -28 * 3 = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "((-8 - 13) * 1 - 7) * 3", "variable": null, "family": "expression_4op", "shape": "(* (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 13, \"c\": 1, \"d\": 7, \"e\": 3}", "seed": "17215500127380353135", "semantic_fingerprint": "sha256:b4fa56417564ba6014f12079f3ec5ee20ae39207f2007f9e9c02bc7f6b319a75", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002783", "prompt": "Solve the equation 12x = 8(x + 670) + 17 for x.", "solution_steps": ["Expand: 12x = 8x + 5360 + 17", "Combine constants: 12x = 8x + 5377", "Subtract 8x from both sides: 4x = 5377", "Divide both sides by 4: x = 5377/4"], "final_answer": "5377/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 8(x + 670) + 17", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 670, \"d\": 17}", "seed": "17467754526165623930", "semantic_fingerprint": "sha256:d420d2bb48b67ded3a2c640437c22376b9906ad18b368a186dec173cdd0565d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002784", "prompt": "Solve the equation -4x - 85 = 8x - 241 for x.", "solution_steps": ["Subtract 8x from both sides: -12x - 85 = -241", "Add 85 to both sides: -12x = -156", "Divide both sides by -12: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 85 = 8x - 241", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 85, \"c\": 8, \"e\": -241, \"x\": 13}", "seed": "5832623732514001191", "semantic_fingerprint": "sha256:cfbcde575e09d6e32e7d4d7bb8823b75e812633fd75b2c65c63eed867ee2b22f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002785", "prompt": "Evaluate: (3 + (-27)) / (19 + (-268))", "solution_steps": ["Add: 3 + (-27) = -24", "Add: 19 + (-268) = -249", "Divide: -24 / (-249) = 8/83"], "final_answer": "8/83", "answer_type": "rational", "kind": "expression", "math_text": "(3 + (-27)) / (19 + (-268))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -27, \"c\": 19, \"d\": -268}", "seed": "737213617896586840", "semantic_fingerprint": "sha256:d49a147671c51c47274114c048d9676279a0ec270a6631ae4556488b9f92cac3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002786", "prompt": "What value of x satisfies 2x - 2 = 5x - 2?", "solution_steps": ["Subtract 5x from both sides: -3x - 2 = -2", "Add 2 to both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 2 = 5x - 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 5, \"e\": -2, \"x\": 0}", "seed": "8777077761382476205", "semantic_fingerprint": "sha256:2419b24c27d58d8dca9ebf4bffda5630a0aa1a3ef31680b267f73648351386b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002787", "prompt": "What is (-714 * 0 + 0) / (7 + (-4 + 8))?", "solution_steps": ["Multiply: -714 * 0 = 0", "Add: 0 + 0 = 0", "Add: -4 + 8 = 4", "Add: 7 + 4 = 11", "Divide: 0 / 11 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-714 * 0 + 0) / (7 + (-4 + 8))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -714, \"b\": 0, \"c\": 0, \"d\": 7, \"e\": -4, \"f\": 8}", "seed": "14520637654027463324", "semantic_fingerprint": "sha256:d8cb0db2f85135b45ed6f299b5347f737213772da5ce9eefe901d8b50fcf8a23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002788", "prompt": "Evaluate: -6 / (4 * 5 * (-4) + 32)", "solution_steps": ["Multiply: 4 * 5 = 20", "Multiply: 20 * (-4) = -80", "Add: -80 + 32 = -48", "Divide: -6 / (-48) = 1/8"], "final_answer": "1/8", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (4 * 5 * (-4) + 32)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 5, \"d\": -4, \"e\": 32}", "seed": "15559878341700468788", "semantic_fingerprint": "sha256:f22c3d6a13d0ebf6fc0ca976a1fe1824abdf3bfdf7d2d441acb560a1337e4b1d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002789", "prompt": "Solve the equation 10(x - 5) - 8 = x + 2 for x.", "solution_steps": ["Expand: 10x - 50 - 8 = x + 2", "Combine constants: 10x - 58 = x + 2", "Subtract x from both sides: 9x - 58 = 2", "Add 58 to both sides: 9x = 60", "Divide both sides by 9: x = 20/3"], "final_answer": "20/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 5) - 8 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 8, \"d\": 2}", "seed": "7849175319401686441", "semantic_fingerprint": "sha256:3a8408a90cdbea61d967a56de8be2abfb4feeea9ff965bd92177256f161a575d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002790", "prompt": "Find x: -8(x - 35) - 14 = x + 6", "solution_steps": ["Expand: -8x + 280 - 14 = x + 6", "Combine constants: -8x + 266 = x + 6", "Subtract x from both sides: -9x + 266 = 6", "Subtract 266 from both sides: -9x = -260", "Divide both sides by -9: x = 260/9"], "final_answer": "260/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 35) - 14 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 35, \"c\": 14, \"d\": 6}", "seed": "12766381509834850019", "semantic_fingerprint": "sha256:a92ffc6078db2aef8595cfb2c8ddad6137e4ca94152f03f3089cb22cfa8f22b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002791", "prompt": "Evaluate: -67 / (-71) * (11 / 48)", "solution_steps": ["Divide: -67 / (-71) = 67/71", "Divide: 11 / 48 = 11/48", "Multiply: (67/71) * (11/48) = 737/3408"], "final_answer": "737/3408", "answer_type": "rational", "kind": "expression", "math_text": "-67 / (-71) * (11 / 48)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -71, \"c\": 11, \"d\": 48}", "seed": "14988847368112955433", "semantic_fingerprint": "sha256:ec9f0d97d515d5cf936fd6256ccfaab5fd7e0be796eab831a32d054600793b2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002792", "prompt": "Solve the equation 4x - 98 = 2x - 98 for x.", "solution_steps": ["Subtract 2x from both sides: 2x - 98 = -98", "Add 98 to both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 98 = 2x - 98", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 98, \"c\": 2, \"e\": -98, \"x\": 0}", "seed": "4332930376570257711", "semantic_fingerprint": "sha256:35e8249c7d18a58bfeaa90b9597b65184620be34ef4fe0e0a634338402d6ba47", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002793", "prompt": "What value of x satisfies 4(x + 126) + 534 = x + 990?", "solution_steps": ["Expand: 4x + 504 + 534 = x + 990", "Combine constants: 4x + 1038 = x + 990", "Subtract x from both sides: 3x + 1038 = 990", "Subtract 1038 from both sides: 3x = -48", "Divide both sides by 3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 126) + 534 = x + 990", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 126, \"c\": 534, \"e\": 990, \"x\": -16}", "seed": "7389684235571588802", "semantic_fingerprint": "sha256:7963d2ee77bb780f92ed4d83e36b2effd1e3264a272380cd6671994b6db81bc7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002794", "prompt": "Compute: 8 + (262 - (-967)) + 2", "solution_steps": ["Subtract: 262 - (-967) = 1229", "Add: 8 + 1229 = 1237", "Add: 1237 + 2 = 1239"], "final_answer": "1239", "answer_type": "integer", "kind": "expression", "math_text": "8 + (262 - (-967)) + 2", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 262, \"c\": -967, \"d\": 2}", "seed": "1539476415709641600", "semantic_fingerprint": "sha256:bcb6deb731e58561cefddd3a5870dff81773e7d68da029003d538d3fc72b86a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002795", "prompt": "Compute: 5 * (172 + 7 * (-170))", "solution_steps": ["Multiply: 7 * (-170) = -1190", "Add: 172 + (-1190) = -1018", "Multiply: 5 * (-1018) = -5090"], "final_answer": "-5090", "answer_type": "integer", "kind": "expression", "math_text": "5 * (172 + 7 * (-170))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 172, \"c\": 7, \"d\": -170}", "seed": "14704707686312967193", "semantic_fingerprint": "sha256:65d4900595a9be0ced55a5cc35ee6566edd76a9a30ea34f006fb8bd634e85dae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002796", "prompt": "Solve the equation 3(x - 67) + 666 = 12(x + 41) for x.", "solution_steps": ["Expand: 3x - 201 + 666 = 12(x + 41)", "Expand: 3x - 201 + 666 = 12x + 492", "Combine constants: 3x + 465 = 12x + 492", "Subtract 12x from both sides: -9x + 465 = 492", "Subtract 465 from both sides: -9x = 27", "Divide both sides by -9: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 67) + 666 = 12(x + 41)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 67, \"c\": 12, \"d\": 41, \"f\": 666, \"x\": -3}", "seed": "10271512569999496662", "semantic_fingerprint": "sha256:9b9b2447fb417618510e3ab60a52a2a54258a5610fe1dfa752a41988b29f5b74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002797", "prompt": "Evaluate: -911 / (-3) / 41 - 981", "solution_steps": ["Divide: -911 / (-3) = 911/3", "Divide: (911/3) / 41 = 911/123", "Subtract: 911/123 - 981 = -119752/123"], "final_answer": "-119752/123", "answer_type": "rational", "kind": "expression", "math_text": "-911 / (-3) / 41 - 981", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -911, \"b\": -3, \"c\": 41, \"d\": 981}", "seed": "1241220865054604550", "semantic_fingerprint": "sha256:e20433a400ca4f1e71ec92aaf6159864c562ff4ffba140f204f89913aa51e074", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002798", "prompt": "Solve the equation 8(x - 98) + 828 = 12(x + 5) for x.", "solution_steps": ["Expand: 8x - 784 + 828 = 12(x + 5)", "Expand: 8x - 784 + 828 = 12x + 60", "Combine constants: 8x + 44 = 12x + 60", "Subtract 12x from both sides: -4x + 44 = 60", "Subtract 44 from both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 98) + 828 = 12(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 98, \"c\": 12, \"d\": 5, \"f\": 828, \"x\": -4}", "seed": "3952090543896797164", "semantic_fingerprint": "sha256:acc558c8f2c7ec3a12276ab231d9b42b5cee6ffca5de7857e93dc49a9b2cb43b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002799", "prompt": "Solve for x: 11x = 6(x + 9) - 574", "solution_steps": ["Expand: 11x = 6x + 54 - 574", "Combine constants: 11x = 6x - 520", "Subtract 6x from both sides: 5x = -520", "Divide both sides by 5: x = -104"], "final_answer": "-104", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 6(x + 9) - 574", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 9, \"d\": 574}", "seed": "16670706759893928868", "semantic_fingerprint": "sha256:e2a96c1bd7562af7626a3865a5b363c42af45c426cc19d092de484b68220abfc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002800", "prompt": "Evaluate: -91 / (27 / (-91)) + (-50)", "solution_steps": ["Divide: 27 / (-91) = -27/91", "Divide: -91 / (-27/91) = 8281/27", "Add: 8281/27 + (-50) = 6931/27"], "final_answer": "6931/27", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (27 / (-91)) + (-50)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 27, \"c\": -91, \"d\": -50}", "seed": "13206422686043247061", "semantic_fingerprint": "sha256:511e8998aa6cd7a09932c5a277aff0716ecda5bd779424280d2db44dc9cb850d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002801", "prompt": "Compute: (103 + (-504 - 53)) * (-702 - 423)", "solution_steps": ["Subtract: -504 - 53 = -557", "Add: 103 + (-557) = -454", "Subtract: -702 - 423 = -1125", "Multiply: -454 * (-1125) = 510750"], "final_answer": "510750", "answer_type": "integer", "kind": "expression", "math_text": "(103 + (-504 - 53)) * (-702 - 423)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 103, \"b\": -504, \"c\": 53, \"d\": -702, \"e\": 423}", "seed": "6730602699903528815", "semantic_fingerprint": "sha256:b7463e8323d8589f5ee153f123790dcc380722fb1bf041ebb40c2f5e4271f51d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002802", "prompt": "Compute: 45 * (-40) * (-17) - (-53 + 24 - 94)", "solution_steps": ["Multiply: 45 * (-40) = -1800", "Multiply: -1800 * (-17) = 30600", "Add: -53 + 24 = -29", "Subtract: -29 - 94 = -123", "Subtract: 30600 - (-123) = 30723"], "final_answer": "30723", "answer_type": "integer", "kind": "expression", "math_text": "45 * (-40) * (-17) - (-53 + 24 - 94)", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -40, \"c\": -17, \"d\": -53, \"e\": 24, \"f\": 94}", "seed": "3423688343125331849", "semantic_fingerprint": "sha256:fcf614e6b2fcad88c9635ee9965ecf1777a93d37d6ca8622cb274ece5c32b981", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002803", "prompt": "Find x: 9(x + 5) = 6(x - 29) + 231", "solution_steps": ["Expand: 9x + 45 = 6(x - 29) + 231", "Expand: 9x + 45 = 6x - 174 + 231", "Combine constants: 9x + 45 = 6x + 57", "Subtract 6x from both sides: 3x + 45 = 57", "Subtract 45 from both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) = 6(x - 29) + 231", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 6, \"d\": 29, \"f\": 231, \"x\": 4}", "seed": "758971028508579120", "semantic_fingerprint": "sha256:b41cb3c1e6aab8fb5265de9f01e1bfb320c113f07a47797f97295d5687e5a6f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002804", "prompt": "Calculate: (499 - (-5 + (-21))) * (7 + 462)", "solution_steps": ["Add: -5 + (-21) = -26", "Subtract: 499 - (-26) = 525", "Add: 7 + 462 = 469", "Multiply: 525 * 469 = 246225"], "final_answer": "246225", "answer_type": "integer", "kind": "expression", "math_text": "(499 - (-5 + (-21))) * (7 + 462)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 499, \"b\": -5, \"c\": -21, \"d\": 7, \"e\": 462}", "seed": "5208853911405829553", "semantic_fingerprint": "sha256:b1ab84134e7f8fbf2dc76870dc6d34d238ea4270b07e05dc23bec4b1a74acb9a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002805", "prompt": "Solve for x: -5(x - 76) - 59 = x + 219", "solution_steps": ["Expand: -5x + 380 - 59 = x + 219", "Combine constants: -5x + 321 = x + 219", "Subtract x from both sides: -6x + 321 = 219", "Subtract 321 from both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 76) - 59 = x + 219", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 76, \"c\": 59, \"e\": 219, \"x\": 17}", "seed": "15527100850586309778", "semantic_fingerprint": "sha256:0cc3fb4bdee7407327e785ec54eb2cd819fe973a8bfa6c1e0dd89e0281a0d22d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002806", "prompt": "Find x: 6x = -3(x + 54) + 162", "solution_steps": ["Expand: 6x = -3x - 162 + 162", "Combine constants: 6x = -3x", "Add 3x to both sides: 9x = 0", "Divide both sides by 9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = -3(x + 54) + 162", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -3, \"c\": 54, \"e\": 162, \"x\": 0}", "seed": "5554413686758263280", "semantic_fingerprint": "sha256:b8733de19b85d0d86a9453881de36b22dde3bd2322b556c0149590e07b52e58e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002807", "prompt": "Compute: -4 / (-6 / 72) * (0 * (-4) - 16)", "solution_steps": ["Divide: -6 / 72 = -1/12", "Divide: -4 / (-1/12) = 48", "Multiply: 0 * (-4) = 0", "Subtract: 0 - 16 = -16", "Multiply: 48 * (-16) = -768"], "final_answer": "-768", "answer_type": "integer", "kind": "expression", "math_text": "-4 / (-6 / 72) * (0 * (-4) - 16)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (/ n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": 72, \"d\": 0, \"e\": -4, \"f\": 16}", "seed": "3169979433488243379", "semantic_fingerprint": "sha256:2f9938701873a2e301d3b31761f316f87c22c2c9e1dff855a7761fee8218299e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002808", "prompt": "Calculate: 602 - (-64) * (513 / (-30)) * (-6)", "solution_steps": ["Divide: 513 / (-30) = -171/10", "Multiply: -64 * (-171/10) = 5472/5", "Multiply: (5472/5) * (-6) = -32832/5", "Subtract: 602 - (-32832/5) = 35842/5"], "final_answer": "35842/5", "answer_type": "rational", "kind": "expression", "math_text": "602 - (-64) * (513 / (-30)) * (-6)", "variable": null, "family": "expression_4op", "shape": "(- n (* (* n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 602, \"b\": -64, \"c\": 513, \"d\": -30, \"e\": -6}", "seed": "2002898974007442674", "semantic_fingerprint": "sha256:08625f2e5dc898e1a27c1ae1f7c0250e9f76c840caff50c5123862b987df0280", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002809", "prompt": "Evaluate: 744 + 21 * 5 + 218 - 9", "solution_steps": ["Multiply: 21 * 5 = 105", "Add: 744 + 105 = 849", "Add: 849 + 218 = 1067", "Subtract: 1067 - 9 = 1058"], "final_answer": "1058", "answer_type": "integer", "kind": "expression", "math_text": "744 + 21 * 5 + 218 - 9", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 744, \"b\": 21, \"c\": 5, \"d\": 218, \"e\": 9}", "seed": "12761294408154446887", "semantic_fingerprint": "sha256:52f9378e4f422f35bc46f1c1fe3ac1fab0bd83da8823a6bd3b9aa881a772c2cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002810", "prompt": "Compute: 98 / (9 + 46 / (-99 - 1))", "solution_steps": ["Subtract: -99 - 1 = -100", "Divide: 46 / (-100) = -23/50", "Add: 9 + (-23/50) = 427/50", "Divide: 98 / (427/50) = 700/61"], "final_answer": "700/61", "answer_type": "rational", "kind": "expression", "math_text": "98 / (9 + 46 / (-99 - 1))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 9, \"c\": 46, \"d\": -99, \"e\": 1}", "seed": "8884983796358659272", "semantic_fingerprint": "sha256:2eed9928ce65458306c45cadfc2f340a480a1a155399b89f0b56d0aae06d193a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002811", "prompt": "Compute: (-76 - 6 - 14) * 9", "solution_steps": ["Subtract: -76 - 6 = -82", "Subtract: -82 - 14 = -96", "Multiply: -96 * 9 = -864"], "final_answer": "-864", "answer_type": "integer", "kind": "expression", "math_text": "(-76 - 6 - 14) * 9", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 6, \"c\": 14, \"d\": 9}", "seed": "8460272922675430657", "semantic_fingerprint": "sha256:2fc4d3e949ff2d3c3b5119ae4cb935fbad5bc0b5883380a9f482dfd52d29ac08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002812", "prompt": "Calculate: (3 - 876 - 1) * (-90)", "solution_steps": ["Subtract: 3 - 876 = -873", "Subtract: -873 - 1 = -874", "Multiply: -874 * (-90) = 78660"], "final_answer": "78660", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 876 - 1) * (-90)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 876, \"c\": 1, \"d\": -90}", "seed": "15310270153648037741", "semantic_fingerprint": "sha256:a0b6bb2fb6d3569a99ae5c3efa26aa31e151c64296e0969ad45380ad0824ca98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002813", "prompt": "What is 5 / 14 * (230 / (-9))?", "solution_steps": ["Divide: 5 / 14 = 5/14", "Divide: 230 / (-9) = -230/9", "Multiply: (5/14) * (-230/9) = -575/63"], "final_answer": "-575/63", "answer_type": "rational", "kind": "expression", "math_text": "5 / 14 * (230 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 14, \"c\": 230, \"d\": -9}", "seed": "14134582807149804337", "semantic_fingerprint": "sha256:15b96c6fecc1e7823ebb76332696eeceaef8d41f305369472d79ff04b24583ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002814", "prompt": "Solve for x: 9(x + 875) - 28 = x + 3", "solution_steps": ["Expand: 9x + 7875 - 28 = x + 3", "Combine constants: 9x + 7847 = x + 3", "Subtract x from both sides: 8x + 7847 = 3", "Subtract 7847 from both sides: 8x = -7844", "Divide both sides by 8: x = -1961/2"], "final_answer": "-1961/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 875) - 28 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 875, \"c\": 28, \"d\": 3}", "seed": "4607268016615312764", "semantic_fingerprint": "sha256:f719cd64a344dd1e48cde3663331fb2c5a7a87088e5b0e53aace81f5831063ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002815", "prompt": "Evaluate: 640 / 5 - (-79) - 814 * 587", "solution_steps": ["Divide: 640 / 5 = 128", "Subtract: 128 - (-79) = 207", "Multiply: 814 * 587 = 477818", "Subtract: 207 - 477818 = -477611"], "final_answer": "-477611", "answer_type": "integer", "kind": "expression", "math_text": "640 / 5 - (-79) - 814 * 587", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 640, \"b\": 5, \"c\": -79, \"d\": 814, \"e\": 587}", "seed": "17588238486966306374", "semantic_fingerprint": "sha256:105e49e64fc4939610595980cd34e8846a900fa4d29801cfeb06860850ab598f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002816", "prompt": "Evaluate: 51 * (-518) + (-348 - 88)", "solution_steps": ["Multiply: 51 * (-518) = -26418", "Subtract: -348 - 88 = -436", "Add: -26418 + (-436) = -26854"], "final_answer": "-26854", "answer_type": "integer", "kind": "expression", "math_text": "51 * (-518) + (-348 - 88)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -518, \"c\": -348, \"d\": 88}", "seed": "17029650172210371462", "semantic_fingerprint": "sha256:8094b74424ebdb31a5aa98965f386c40df677d47722d348abdb9213e4b3ae0bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002817", "prompt": "What value of x satisfies -6(x - 87) + 136 = 8(x + 27)?", "solution_steps": ["Expand: -6x + 522 + 136 = 8(x + 27)", "Expand: -6x + 522 + 136 = 8x + 216", "Combine constants: -6x + 658 = 8x + 216", "Subtract 8x from both sides: -14x + 658 = 216", "Subtract 658 from both sides: -14x = -442", "Divide both sides by -14: x = 221/7"], "final_answer": "221/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 87) + 136 = 8(x + 27)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 87, \"c\": 136, \"d\": 8, \"e\": 27}", "seed": "18155996550876180641", "semantic_fingerprint": "sha256:f3938016ffeb79ad9ac905438b68030d368c9a9e71746b5288f49f387016ba69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002818", "prompt": "Compute: (0 + (-52)) * (-35 * (-75) / (-45 * (-3)))", "solution_steps": ["Add: 0 + (-52) = -52", "Multiply: -35 * (-75) = 2625", "Multiply: -45 * (-3) = 135", "Divide: 2625 / 135 = 175/9", "Multiply: -52 * (175/9) = -9100/9"], "final_answer": "-9100/9", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-52)) * (-35 * (-75) / (-45 * (-3)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -52, \"c\": -35, \"d\": -75, \"e\": -45, \"f\": -3}", "seed": "5349001279813622180", "semantic_fingerprint": "sha256:91c5ef9e907720a872227f6223570a3c797fe8e3f9b873ea5c1186ff4c13814e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002819", "prompt": "Compute: (354 - 1 / (-1)) * ((-80 - (-4)) / (-893))", "solution_steps": ["Divide: 1 / (-1) = -1", "Subtract: 354 - (-1) = 355", "Subtract: -80 - (-4) = -76", "Divide: -76 / (-893) = 4/47", "Multiply: 355 * (4/47) = 1420/47"], "final_answer": "1420/47", "answer_type": "rational", "kind": "expression", "math_text": "(354 - 1 / (-1)) * ((-80 - (-4)) / (-893))", "variable": null, "family": "expression_5op", "shape": "(* (- n (/ n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 354, \"b\": 1, \"c\": -1, \"d\": -80, \"e\": -4, \"f\": -893}", "seed": "11146938817054752720", "semantic_fingerprint": "sha256:342b27dd44f686277c7176147692922c45bd754ca3e8a702b08b9f1987a3c7a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002820", "prompt": "Solve for x: 11x - 9 = -5x - 9", "solution_steps": ["Add 5x to both sides: 16x - 9 = -9", "Add 9 to both sides: 16x = 0", "Divide both sides by 16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 9 = -5x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": -5, \"e\": -9, \"x\": 0}", "seed": "560941586806701930", "semantic_fingerprint": "sha256:348b7111f6fcb03c96983367f7349e593c51f4993431ed71f7ed5c199c124efe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002821", "prompt": "Evaluate: -519 + (-7) + (-878 - 1 - 67)", "solution_steps": ["Add: -519 + (-7) = -526", "Subtract: -878 - 1 = -879", "Subtract: -879 - 67 = -946", "Add: -526 + (-946) = -1472"], "final_answer": "-1472", "answer_type": "integer", "kind": "expression", "math_text": "-519 + (-7) + (-878 - 1 - 67)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -519, \"b\": -7, \"c\": -878, \"d\": 1, \"e\": 67}", "seed": "661311124154186864", "semantic_fingerprint": "sha256:754823dd59123aefe09243ae4b6f4cc980a2cd8a3445234558bf71359d61cb5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002822", "prompt": "Compute: 531 - (13 / 54 - (-12)) * (-515)", "solution_steps": ["Divide: 13 / 54 = 13/54", "Subtract: 13/54 - (-12) = 661/54", "Multiply: (661/54) * (-515) = -340415/54", "Subtract: 531 - (-340415/54) = 369089/54"], "final_answer": "369089/54", "answer_type": "rational", "kind": "expression", "math_text": "531 - (13 / 54 - (-12)) * (-515)", "variable": null, "family": "expression_4op", "shape": "(- n (* (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 531, \"b\": 13, \"c\": 54, \"d\": -12, \"e\": -515}", "seed": "9770331228543683758", "semantic_fingerprint": "sha256:1e83b320b1edf053df3cef21d0f7cac787b887949d64010984117c96b904e497", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002823", "prompt": "Find x: -11x - 48 = -6x - 43", "solution_steps": ["Add 6x to both sides: -5x - 48 = -43", "Add 48 to both sides: -5x = 5", "Divide both sides by -5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 48 = -6x - 43", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 48, \"c\": -6, \"e\": -43, \"x\": -1}", "seed": "17325947407611233341", "semantic_fingerprint": "sha256:d74bcc39265e9da43ab88f7577ed6f9e35ab1149c2b780329dfc0a7caada6665", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002824", "prompt": "Evaluate: (56 + (-991)) / (14 - 5 / (-303))", "solution_steps": ["Add: 56 + (-991) = -935", "Divide: 5 / (-303) = -5/303", "Subtract: 14 - (-5/303) = 4247/303", "Divide: -935 / (4247/303) = -283305/4247"], "final_answer": "-283305/4247", "answer_type": "rational", "kind": "expression", "math_text": "(56 + (-991)) / (14 - 5 / (-303))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -991, \"c\": 14, \"d\": 5, \"e\": -303}", "seed": "2935081334583912686", "semantic_fingerprint": "sha256:b36d91219609372310b95ad6f361baba5dd6cc69540a1ee6a658710bd9c6619d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002825", "prompt": "What is 6 * (-43) + (-3) * (567 * 1)?", "solution_steps": ["Multiply: 6 * (-43) = -258", "Multiply: 567 * 1 = 567", "Multiply: -3 * 567 = -1701", "Add: -258 + (-1701) = -1959"], "final_answer": "-1959", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-43) + (-3) * (567 * 1)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -43, \"c\": -3, \"d\": 567, \"e\": 1}", "seed": "9378371409319433092", "semantic_fingerprint": "sha256:87d3a104f4e20df7729b3b012da5b98045f6300a4193a7908aa77c60608a607d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002826", "prompt": "Compute: 6 * ((-5 - 54) * (61 + (-8)))", "solution_steps": ["Subtract: -5 - 54 = -59", "Add: 61 + (-8) = 53", "Multiply: -59 * 53 = -3127", "Multiply: 6 * (-3127) = -18762"], "final_answer": "-18762", "answer_type": "integer", "kind": "expression", "math_text": "6 * ((-5 - 54) * (61 + (-8)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": 54, \"d\": 61, \"e\": -8}", "seed": "4312519577592939735", "semantic_fingerprint": "sha256:ac0f000176e4c884e0ea5aa5506bfc118f77a0cc02f138212469059dccf5aa07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002827", "prompt": "Calculate: -16 / (-23) * (-4) / (-260 - 48 + 29)", "solution_steps": ["Divide: -16 / (-23) = 16/23", "Multiply: (16/23) * (-4) = -64/23", "Subtract: -260 - 48 = -308", "Add: -308 + 29 = -279", "Divide: (-64/23) / (-279) = 64/6417"], "final_answer": "64/6417", "answer_type": "rational", "kind": "expression", "math_text": "-16 / (-23) * (-4) / (-260 - 48 + 29)", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -23, \"c\": -4, \"d\": -260, \"e\": 48, \"f\": 29}", "seed": "8373489712923987240", "semantic_fingerprint": "sha256:3bd772bcfd39888dc9501c3e21a2cefb897366916660ae75e6e8b4acd046ffdd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002828", "prompt": "Evaluate: (-14 - 50 * (-3) + (-18 - (-849))) / 822", "solution_steps": ["Multiply: 50 * (-3) = -150", "Subtract: -14 - (-150) = 136", "Subtract: -18 - (-849) = 831", "Add: 136 + 831 = 967", "Divide: 967 / 822 = 967/822"], "final_answer": "967/822", "answer_type": "rational", "kind": "expression", "math_text": "(-14 - 50 * (-3) + (-18 - (-849))) / 822", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n (* n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 50, \"c\": -3, \"d\": -18, \"e\": -849, \"f\": 822}", "seed": "3733574234757432318", "semantic_fingerprint": "sha256:369ba43e562295fd35b6382cbed953e0b3c568589b4c2f331e9381397a2a2fde", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002829", "prompt": "Evaluate: -97 * (-601 * (-9)) + (-65)", "solution_steps": ["Multiply: -601 * (-9) = 5409", "Multiply: -97 * 5409 = -524673", "Add: -524673 + (-65) = -524738"], "final_answer": "-524738", "answer_type": "integer", "kind": "expression", "math_text": "-97 * (-601 * (-9)) + (-65)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -601, \"c\": -9, \"d\": -65}", "seed": "2208122893901068374", "semantic_fingerprint": "sha256:0878fcd908292b28f338fff6a6999ed2e98f183332af4fa6aaa0dc7bbc9e00e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002830", "prompt": "Evaluate: -5 * 5 * (116 / 6 - (-1))", "solution_steps": ["Multiply: -5 * 5 = -25", "Divide: 116 / 6 = 58/3", "Subtract: 58/3 - (-1) = 61/3", "Multiply: -25 * (61/3) = -1525/3"], "final_answer": "-1525/3", "answer_type": "rational", "kind": "expression", "math_text": "-5 * 5 * (116 / 6 - (-1))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 116, \"d\": 6, \"e\": -1}", "seed": "6042270944611554481", "semantic_fingerprint": "sha256:25c7671ec57d47979513e6660b01172789ba509cde2e1a11f30fe954a08ebecb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002831", "prompt": "Compute: 5 - 9 / (-527) - (-9)", "solution_steps": ["Divide: 9 / (-527) = -9/527", "Subtract: 5 - (-9/527) = 2644/527", "Subtract: 2644/527 - (-9) = 7387/527"], "final_answer": "7387/527", "answer_type": "rational", "kind": "expression", "math_text": "5 - 9 / (-527) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": -527, \"d\": -9}", "seed": "11355798185204517025", "semantic_fingerprint": "sha256:00e64046839be78de1b902e3e8e0f3aca30ce14c913bc722b591be816756ce9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002832", "prompt": "What is (18 * (-343) + 79 * (-931)) / (-984)?", "solution_steps": ["Multiply: 18 * (-343) = -6174", "Multiply: 79 * (-931) = -73549", "Add: -6174 + (-73549) = -79723", "Divide: -79723 / (-984) = 79723/984"], "final_answer": "79723/984", "answer_type": "rational", "kind": "expression", "math_text": "(18 * (-343) + 79 * (-931)) / (-984)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -343, \"c\": 79, \"d\": -931, \"e\": -984}", "seed": "13041064785506267921", "semantic_fingerprint": "sha256:c34aecf4361820858f9ddc43f2f0a7b1ebc85efee60e6431d8507792b27b02f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002833", "prompt": "What is -9 * 90 * (63 / 5) * 3?", "solution_steps": ["Multiply: -9 * 90 = -810", "Divide: 63 / 5 = 63/5", "Multiply: -810 * (63/5) = -10206", "Multiply: -10206 * 3 = -30618"], "final_answer": "-30618", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 90 * (63 / 5) * 3", "variable": null, "family": "expression_4op", "shape": "(* (* (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 90, \"c\": 63, \"d\": 5, \"e\": 3}", "seed": "3429398362230820853", "semantic_fingerprint": "sha256:80e0f4c51414e1b2cf729f4484d49b881d444716a2776758272772051bebfd31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002834", "prompt": "What is (330 + (-24)) / (-74 - (-976) + 62)?", "solution_steps": ["Add: 330 + (-24) = 306", "Subtract: -74 - (-976) = 902", "Add: 902 + 62 = 964", "Divide: 306 / 964 = 153/482"], "final_answer": "153/482", "answer_type": "rational", "kind": "expression", "math_text": "(330 + (-24)) / (-74 - (-976) + 62)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 330, \"b\": -24, \"c\": -74, \"d\": -976, \"e\": 62}", "seed": "11034586524280886771", "semantic_fingerprint": "sha256:7a3f9094dd16123f2f22dac463a22c358a0956d66c89c7b0903f686c3e7b1ddb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002835", "prompt": "Solve the equation 12(x + 8) - 2 = x + 270 for x.", "solution_steps": ["Expand: 12x + 96 - 2 = x + 270", "Combine constants: 12x + 94 = x + 270", "Subtract x from both sides: 11x + 94 = 270", "Subtract 94 from both sides: 11x = 176", "Divide both sides by 11: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) - 2 = x + 270", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 2, \"e\": 270, \"x\": 16}", "seed": "6557953740595266303", "semantic_fingerprint": "sha256:72d2400250d50f583ae6f43cd08c08cd874956a6351a46eb3965026a61c83692", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002836", "prompt": "Find x: 10(x + 46) = 2(x - 5) + 430", "solution_steps": ["Expand: 10x + 460 = 2(x - 5) + 430", "Expand: 10x + 460 = 2x - 10 + 430", "Combine constants: 10x + 460 = 2x + 420", "Subtract 2x from both sides: 8x + 460 = 420", "Subtract 460 from both sides: 8x = -40", "Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 46) = 2(x - 5) + 430", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 46, \"c\": 2, \"d\": 5, \"f\": 430, \"x\": -5}", "seed": "15908849818614546809", "semantic_fingerprint": "sha256:1e95ed92f4cf4c924e888e56a2eb66ccba9b225d11cb5c9c3ec37facfd839559", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002837", "prompt": "Solve for x: 11(x + 8) - 541 = x + 17", "solution_steps": ["Expand: 11x + 88 - 541 = x + 17", "Combine constants: 11x - 453 = x + 17", "Subtract x from both sides: 10x - 453 = 17", "Add 453 to both sides: 10x = 470", "Divide both sides by 10: x = 47"], "final_answer": "47", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 8) - 541 = x + 17", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 541, \"d\": 17}", "seed": "8635937543782486520", "semantic_fingerprint": "sha256:3279340a4bc92ad3009c34f775157404e4f1e160b56b94a4f9e912f27bacbd92", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002838", "prompt": "Find x: 8(x + 3) + 41 = x + 142", "solution_steps": ["Expand: 8x + 24 + 41 = x + 142", "Combine constants: 8x + 65 = x + 142", "Subtract x from both sides: 7x + 65 = 142", "Subtract 65 from both sides: 7x = 77", "Divide both sides by 7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 3) + 41 = x + 142", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 41, \"e\": 142, \"x\": 11}", "seed": "7760436552132733102", "semantic_fingerprint": "sha256:f4a2b0df7557cad18403a5a88623ba04800a72a99fdf1db50d7957695b227301", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002839", "prompt": "Compute: 63 * (-8) / (-660 + (67 + 23))", "solution_steps": ["Multiply: 63 * (-8) = -504", "Add: 67 + 23 = 90", "Add: -660 + 90 = -570", "Divide: -504 / (-570) = 84/95"], "final_answer": "84/95", "answer_type": "rational", "kind": "expression", "math_text": "63 * (-8) / (-660 + (67 + 23))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -8, \"c\": -660, \"d\": 67, \"e\": 23}", "seed": "6505438533936710262", "semantic_fingerprint": "sha256:b01d88a3187c91a9fbe463be913c9376c087ec834af5ee958a786ade75a62088", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002840", "prompt": "Solve for x: 8x = 11(x + 3) + 510", "solution_steps": ["Expand: 8x = 11x + 33 + 510", "Combine constants: 8x = 11x + 543", "Subtract 11x from both sides: -3x = 543", "Divide both sides by -3: x = -181"], "final_answer": "-181", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 11(x + 3) + 510", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 11, \"c\": 3, \"d\": 510}", "seed": "10100052739355508293", "semantic_fingerprint": "sha256:7169e6581161ee1f016c6545dac12cfee91fd4f68b82d3885d7c8b7eaea8fea4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002841", "prompt": "Solve for x: 6(x + 24) + 5 = x + 79", "solution_steps": ["Expand: 6x + 144 + 5 = x + 79", "Combine constants: 6x + 149 = x + 79", "Subtract x from both sides: 5x + 149 = 79", "Subtract 149 from both sides: 5x = -70", "Divide both sides by 5: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 24) + 5 = x + 79", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 24, \"c\": 5, \"e\": 79, \"x\": -14}", "seed": "13420221914879169461", "semantic_fingerprint": "sha256:3611e9e52a5044deb7036fbcc9e3ade29958c417653988b941b946c176c26180", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002842", "prompt": "Compute: 347 - 3 - 0 * (97 + (-9))", "solution_steps": ["Subtract: 347 - 3 = 344", "Add: 97 + (-9) = 88", "Multiply: 0 * 88 = 0", "Subtract: 344 - 0 = 344"], "final_answer": "344", "answer_type": "integer", "kind": "expression", "math_text": "347 - 3 - 0 * (97 + (-9))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 347, \"b\": 3, \"c\": 0, \"d\": 97, \"e\": -9}", "seed": "675463095231707948", "semantic_fingerprint": "sha256:3cb8d8922f53bf9aa045de14e1dacb8ff35c10d552df761b76d51318a96270dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002843", "prompt": "Solve for x: 5(x + 88) - 91 = x + 393", "solution_steps": ["Expand: 5x + 440 - 91 = x + 393", "Combine constants: 5x + 349 = x + 393", "Subtract x from both sides: 4x + 349 = 393", "Subtract 349 from both sides: 4x = 44", "Divide both sides by 4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 88) - 91 = x + 393", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 88, \"c\": 91, \"e\": 393, \"x\": 11}", "seed": "12262932424746348147", "semantic_fingerprint": "sha256:298b079b08b49001091eb4f5db759625e6d51334d98256e4f02e13a3710cb2b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002844", "prompt": "Solve the equation 5x = 2(x + 95) - 223 for x.", "solution_steps": ["Expand: 5x = 2x + 190 - 223", "Combine constants: 5x = 2x - 33", "Subtract 2x from both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 2(x + 95) - 223", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 95, \"e\": -223, \"x\": -11}", "seed": "12870960287347548896", "semantic_fingerprint": "sha256:5ec99b1c7f386186d8b2679d0f9953e8c62a01cfa2575017562ee682b6cdbf89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002845", "prompt": "What is (-375 + 9) / ((-60 + (-10 - (-40))) / 33)?", "solution_steps": ["Add: -375 + 9 = -366", "Subtract: -10 - (-40) = 30", "Add: -60 + 30 = -30", "Divide: -30 / 33 = -10/11", "Divide: -366 / (-10/11) = 2013/5"], "final_answer": "2013/5", "answer_type": "rational", "kind": "expression", "math_text": "(-375 + 9) / ((-60 + (-10 - (-40))) / 33)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ (+ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -375, \"b\": 9, \"c\": -60, \"d\": -10, \"e\": -40, \"f\": 33}", "seed": "1160295718713532372", "semantic_fingerprint": "sha256:fe7c56b92636b237aaf0d1d5ce39701b85626be9b856f8ce2671d9190dc8420b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002846", "prompt": "Evaluate: 0 + (-9 - (-3)) + 48", "solution_steps": ["Subtract: -9 - (-3) = -6", "Add: 0 + (-6) = -6", "Add: -6 + 48 = 42"], "final_answer": "42", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-9 - (-3)) + 48", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": -3, \"d\": 48}", "seed": "12731670925729369609", "semantic_fingerprint": "sha256:d26daa0220c589492bd0a03e63bccf03a3bf71278807cba1f664f12c4c54fb05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002847", "prompt": "Calculate: 446 * (54 / (-359)) * (-38 - 3)", "solution_steps": ["Divide: 54 / (-359) = -54/359", "Multiply: 446 * (-54/359) = -24084/359", "Subtract: -38 - 3 = -41", "Multiply: (-24084/359) * (-41) = 987444/359"], "final_answer": "987444/359", "answer_type": "rational", "kind": "expression", "math_text": "446 * (54 / (-359)) * (-38 - 3)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 446, \"b\": 54, \"c\": -359, \"d\": -38, \"e\": 3}", "seed": "660837213036596494", "semantic_fingerprint": "sha256:ff2a2d17393aafbc8e2540da54cdd7baa75dbf7d1e338cba645e01e838b27ef5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002848", "prompt": "What value of x satisfies 12x - 472 = -5x - 63?", "solution_steps": ["Add 5x to both sides: 17x - 472 = -63", "Add 472 to both sides: 17x = 409", "Divide both sides by 17: x = 409/17"], "final_answer": "409/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 472 = -5x - 63", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 472, \"c\": -5, \"d\": 63}", "seed": "6727393476746685696", "semantic_fingerprint": "sha256:c445585c7808933f21d4f1a654c708302e6f80aee55340862ed2c5cab4672e35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002849", "prompt": "Calculate: -92 / 1 / (46 + (83 - (-84))) + 7", "solution_steps": ["Divide: -92 / 1 = -92", "Subtract: 83 - (-84) = 167", "Add: 46 + 167 = 213", "Divide: -92 / 213 = -92/213", "Add: -92/213 + 7 = 1399/213"], "final_answer": "1399/213", "answer_type": "rational", "kind": "expression", "math_text": "-92 / 1 / (46 + (83 - (-84))) + 7", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) (+ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 1, \"c\": 46, \"d\": 83, \"e\": -84, \"f\": 7}", "seed": "173133416394252014", "semantic_fingerprint": "sha256:6d5bfc12cb5126974ccdefa8c25924f656070611ce31892484087ecc72e50074", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002850", "prompt": "Calculate: -9 / (-1) - (72 + (-6) / 42)", "solution_steps": ["Divide: -9 / (-1) = 9", "Divide: -6 / 42 = -1/7", "Add: 72 + (-1/7) = 503/7", "Subtract: 9 - 503/7 = -440/7"], "final_answer": "-440/7", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-1) - (72 + (-6) / 42)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": 72, \"d\": -6, \"e\": 42}", "seed": "13081837990600986144", "semantic_fingerprint": "sha256:8761b897cb0d0c6d0db90f84901e8ce2e9578922c5611e850ed15fd0bad5ddfc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002851", "prompt": "What is -480 + 646 + (6 / 86 - 0)?", "solution_steps": ["Add: -480 + 646 = 166", "Divide: 6 / 86 = 3/43", "Subtract: 3/43 - 0 = 3/43", "Add: 166 + 3/43 = 7141/43"], "final_answer": "7141/43", "answer_type": "rational", "kind": "expression", "math_text": "-480 + 646 + (6 / 86 - 0)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -480, \"b\": 646, \"c\": 6, \"d\": 86, \"e\": 0}", "seed": "14011622018580981394", "semantic_fingerprint": "sha256:7b9ec63d8046a11fd1153cedec396e7fa149e1bea44edb3932589ade31687f55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002852", "prompt": "Solve for x: 6x - 200 = 8x - 9", "solution_steps": ["Subtract 8x from both sides: -2x - 200 = -9", "Add 200 to both sides: -2x = 191", "Divide both sides by -2: x = -191/2"], "final_answer": "-191/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 200 = 8x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 200, \"c\": 8, \"d\": 9}", "seed": "16167449266840912088", "semantic_fingerprint": "sha256:f86ce5efedc9cf29efa94523ae7f44ca8dc013671ec6688ef59e1b5c9c8e6d83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002853", "prompt": "Find x: 7(x - 2) + 33 = 5(x + 1)", "solution_steps": ["Expand: 7x - 14 + 33 = 5(x + 1)", "Expand: 7x - 14 + 33 = 5x + 5", "Combine constants: 7x + 19 = 5x + 5", "Subtract 5x from both sides: 2x + 19 = 5", "Subtract 19 from both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 2) + 33 = 5(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 5, \"d\": 1, \"f\": 33, \"x\": -7}", "seed": "10722734536753642578", "semantic_fingerprint": "sha256:5697f6a9a943c67e0d462732a0771b4bd688a09df72a62d404fd350526f8bf3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002854", "prompt": "Solve the equation 3(x + 309) - 4 = x + 903 for x.", "solution_steps": ["Expand: 3x + 927 - 4 = x + 903", "Combine constants: 3x + 923 = x + 903", "Subtract x from both sides: 2x + 923 = 903", "Subtract 923 from both sides: 2x = -20", "Divide both sides by 2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 309) - 4 = x + 903", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 309, \"c\": 4, \"e\": 903, \"x\": -10}", "seed": "14005781193712576057", "semantic_fingerprint": "sha256:180686d35ab074bde1d018f192840f0694492f2d3603df0fd8618e77cb556ced", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002855", "prompt": "Calculate: 49 * 94 + (43 - 84)", "solution_steps": ["Multiply: 49 * 94 = 4606", "Subtract: 43 - 84 = -41", "Add: 4606 + (-41) = 4565"], "final_answer": "4565", "answer_type": "integer", "kind": "expression", "math_text": "49 * 94 + (43 - 84)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 94, \"c\": 43, \"d\": 84}", "seed": "7264665059726052622", "semantic_fingerprint": "sha256:e9cf1a63768709970635cd62799a40c43b5ab59a784b9e4d894fcd390b5ce704", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002856", "prompt": "Solve for x: 8(x - 18) + 210 = 7(x + 12)", "solution_steps": ["Expand: 8x - 144 + 210 = 7(x + 12)", "Expand: 8x - 144 + 210 = 7x + 84", "Combine constants: 8x + 66 = 7x + 84", "Subtract 7x from both sides: x + 66 = 84", "Subtract 66 from both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 18) + 210 = 7(x + 12)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 18, \"c\": 7, \"d\": 12, \"f\": 210, \"x\": 18}", "seed": "14953253383189523185", "semantic_fingerprint": "sha256:314736a42192caff2f1252c7ecafbc19db17545d0629f81c5da6f6d1fe8363f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002857", "prompt": "Compute: 98 * 846 + (-83 - (-7)) - (-232)", "solution_steps": ["Multiply: 98 * 846 = 82908", "Subtract: -83 - (-7) = -76", "Add: 82908 + (-76) = 82832", "Subtract: 82832 - (-232) = 83064"], "final_answer": "83064", "answer_type": "integer", "kind": "expression", "math_text": "98 * 846 + (-83 - (-7)) - (-232)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 846, \"c\": -83, \"d\": -7, \"e\": -232}", "seed": "15411272495359170989", "semantic_fingerprint": "sha256:83e18463bb62cc7f2937b73e338ca0fa8a97c86d6f21fb942b6e389b06487166", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002858", "prompt": "Compute: 355 - 875 / 27 - (-78)", "solution_steps": ["Divide: 875 / 27 = 875/27", "Subtract: 355 - 875/27 = 8710/27", "Subtract: 8710/27 - (-78) = 10816/27"], "final_answer": "10816/27", "answer_type": "rational", "kind": "expression", "math_text": "355 - 875 / 27 - (-78)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 355, \"b\": 875, \"c\": 27, \"d\": -78}", "seed": "15892378122000616625", "semantic_fingerprint": "sha256:34f4252ca989e95ef4032e0446bb99d6d8bad5e2ff6281679f48e369d82a2901", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002859", "prompt": "Evaluate: -514 * (-23) + (0 - (-592) - (-99))", "solution_steps": ["Multiply: -514 * (-23) = 11822", "Subtract: 0 - (-592) = 592", "Subtract: 592 - (-99) = 691", "Add: 11822 + 691 = 12513"], "final_answer": "12513", "answer_type": "integer", "kind": "expression", "math_text": "-514 * (-23) + (0 - (-592) - (-99))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -514, \"b\": -23, \"c\": 0, \"d\": -592, \"e\": -99}", "seed": "12809053652312487147", "semantic_fingerprint": "sha256:714693f25406577020660d63f2e89196c03da10a2f4ab796d8569d4cfe7bca6c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002860", "prompt": "Calculate: (334 * (-299) * (-4) + 790) / (-3)", "solution_steps": ["Multiply: 334 * (-299) = -99866", "Multiply: -99866 * (-4) = 399464", "Add: 399464 + 790 = 400254", "Divide: 400254 / (-3) = -133418"], "final_answer": "-133418", "answer_type": "integer", "kind": "expression", "math_text": "(334 * (-299) * (-4) + 790) / (-3)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 334, \"b\": -299, \"c\": -4, \"d\": 790, \"e\": -3}", "seed": "5819758548791387140", "semantic_fingerprint": "sha256:425ae7e164245b01e2a2740eb999a5fb1fbba33fe9d181ece136a3e5480fa2ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002861", "prompt": "Compute: (-7 + (-507)) / (6 + (-613))", "solution_steps": ["Add: -7 + (-507) = -514", "Add: 6 + (-613) = -607", "Divide: -514 / (-607) = 514/607"], "final_answer": "514/607", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + (-507)) / (6 + (-613))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -507, \"c\": 6, \"d\": -613}", "seed": "10049057060849439906", "semantic_fingerprint": "sha256:da852b02868f9c24268abbbcc4b65f39ec7023fedf9cfbc599161a4b03d9c372", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002862", "prompt": "What is 2 / 14 / (-60 / (-35 + 19))?", "solution_steps": ["Divide: 2 / 14 = 1/7", "Add: -35 + 19 = -16", "Divide: -60 / (-16) = 15/4", "Divide: (1/7) / (15/4) = 4/105"], "final_answer": "4/105", "answer_type": "rational", "kind": "expression", "math_text": "2 / 14 / (-60 / (-35 + 19))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 14, \"c\": -60, \"d\": -35, \"e\": 19}", "seed": "13653370762444569265", "semantic_fingerprint": "sha256:498375ac8cf901871efa09f1e7ab14223037edd1f01151fe96423a34e388a00e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002863", "prompt": "What value of x satisfies 2x = -6(x + 58) + 404?", "solution_steps": ["Expand: 2x = -6x - 348 + 404", "Combine constants: 2x = -6x + 56", "Add 6x to both sides: 8x = 56", "Divide both sides by 8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -6(x + 58) + 404", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -6, \"c\": 58, \"e\": 404, \"x\": 7}", "seed": "16394560208030083053", "semantic_fingerprint": "sha256:bd73617a42b8588066e0eeac90e36d65de354c627322439ef69b850d766a57e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002864", "prompt": "Calculate: 5 / (-9) - (-27) * (-41 + 27)", "solution_steps": ["Divide: 5 / (-9) = -5/9", "Add: -41 + 27 = -14", "Multiply: -27 * (-14) = 378", "Subtract: -5/9 - 378 = -3407/9"], "final_answer": "-3407/9", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-9) - (-27) * (-41 + 27)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -9, \"c\": -27, \"d\": -41, \"e\": 27}", "seed": "4978439068783532001", "semantic_fingerprint": "sha256:d7a40afa3f425c4a8ab4170f6bb7971ef9a8f064ffe8bd48840f0b0d29b23f96", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002865", "prompt": "Find x: 12x - 79 = 4x - 159", "solution_steps": ["Subtract 4x from both sides: 8x - 79 = -159", "Add 79 to both sides: 8x = -80", "Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 79 = 4x - 159", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 79, \"c\": 4, \"e\": -159, \"x\": -10}", "seed": "11847135188141266528", "semantic_fingerprint": "sha256:253dbe443bfda92afeb6613fbba36fbaee249fb2ed40cd2cb665783397776c90", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002866", "prompt": "Calculate: -62 * 46 + (202 - 645)", "solution_steps": ["Multiply: -62 * 46 = -2852", "Subtract: 202 - 645 = -443", "Add: -2852 + (-443) = -3295"], "final_answer": "-3295", "answer_type": "integer", "kind": "expression", "math_text": "-62 * 46 + (202 - 645)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 46, \"c\": 202, \"d\": 645}", "seed": "9187853134140421636", "semantic_fingerprint": "sha256:0fec8cace1e41e66096e011b6e3c0e017a2edfad2af67ed581c3659d9c175ae2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002867", "prompt": "Solve for x: -7(x - 30) - 7 = x + 179", "solution_steps": ["Expand: -7x + 210 - 7 = x + 179", "Combine constants: -7x + 203 = x + 179", "Subtract x from both sides: -8x + 203 = 179", "Subtract 203 from both sides: -8x = -24", "Divide both sides by -8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 30) - 7 = x + 179", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 30, \"c\": 7, \"e\": 179, \"x\": 3}", "seed": "6638115583539082471", "semantic_fingerprint": "sha256:28a9778401889809233eb854311d0c69da517f68cef2fae908ff9c516596d388", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002868", "prompt": "Compute: 8 * (-5 + 80 / 48 * 0 - 4)", "solution_steps": ["Divide: 80 / 48 = 5/3", "Multiply: (5/3) * 0 = 0", "Add: -5 + 0 = -5", "Subtract: -5 - 4 = -9", "Multiply: 8 * (-9) = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-5 + 80 / 48 * 0 - 4)", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n (* (/ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": 80, \"d\": 48, \"e\": 0, \"f\": 4}", "seed": "9604331330402066055", "semantic_fingerprint": "sha256:17a1c70bb3e5b125042b2cae58ef7d84c76288065a062167fcc0bf25e1ef2631", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002869", "prompt": "Solve the equation 4x - 831 = 11(x - 80) for x.", "solution_steps": ["Expand: 4x - 831 = 11x - 880", "Subtract 11x from both sides: -7x - 831 = -880", "Add 831 to both sides: -7x = -49", "Divide both sides by -7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 831 = 11(x - 80)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 11, \"c\": 80, \"e\": -831, \"x\": 7}", "seed": "17263644665718748512", "semantic_fingerprint": "sha256:32bdc10f278a8915fe644ee739ec5a60d94a3d5744f776dca1b9245f6518358e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002870", "prompt": "What value of x satisfies 6(x + 5) = -9(x - 5) + 225?", "solution_steps": ["Expand: 6x + 30 = -9(x - 5) + 225", "Expand: 6x + 30 = -9x + 45 + 225", "Combine constants: 6x + 30 = -9x + 270", "Add 9x to both sides: 15x + 30 = 270", "Subtract 30 from both sides: 15x = 240", "Divide both sides by 15: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) = -9(x - 5) + 225", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": -9, \"d\": 5, \"f\": 225, \"x\": 16}", "seed": "5068665631463571369", "semantic_fingerprint": "sha256:ef80774a002e09eda21b6202916d744545af81b893e7d809b4c9337fa88e727a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002871", "prompt": "Find x: 11x = 8(x + 69) + 904", "solution_steps": ["Expand: 11x = 8x + 552 + 904", "Combine constants: 11x = 8x + 1456", "Subtract 8x from both sides: 3x = 1456", "Divide both sides by 3: x = 1456/3"], "final_answer": "1456/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = 8(x + 69) + 904", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 69, \"d\": 904}", "seed": "4568260840650302747", "semantic_fingerprint": "sha256:9955c70aecde2406177fda98e01e8952ad464151d661a068d0a773e500219527", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002872", "prompt": "What is 51 * (-6 / (7 * (-1 + (-1))))?", "solution_steps": ["Add: -1 + (-1) = -2", "Multiply: 7 * (-2) = -14", "Divide: -6 / (-14) = 3/7", "Multiply: 51 * (3/7) = 153/7"], "final_answer": "153/7", "answer_type": "rational", "kind": "expression", "math_text": "51 * (-6 / (7 * (-1 + (-1))))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -6, \"c\": 7, \"d\": -1, \"e\": -1}", "seed": "9236318937018939374", "semantic_fingerprint": "sha256:bf1a452567283833c82e45fb5a21f868437cb5de7f3c6477af29ee9935fc9690", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002873", "prompt": "What value of x satisfies -6x - 228 = 12(x - 4)?", "solution_steps": ["Expand: -6x - 228 = 12x - 48", "Subtract 12x from both sides: -18x - 228 = -48", "Add 228 to both sides: -18x = 180", "Divide both sides by -18: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 228 = 12(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 12, \"c\": 4, \"e\": -228, \"x\": -10}", "seed": "5581120736966164", "semantic_fingerprint": "sha256:149f4959d1a527d4f20d0dff5be44cfe5219edcd58f37e880a5f5b0df2ac259e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002874", "prompt": "Solve for x: 11x - 159 = 7(x - 29)", "solution_steps": ["Expand: 11x - 159 = 7x - 203", "Subtract 7x from both sides: 4x - 159 = -203", "Add 159 to both sides: 4x = -44", "Divide both sides by 4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 159 = 7(x - 29)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 29, \"e\": -159, \"x\": -11}", "seed": "844058658454486902", "semantic_fingerprint": "sha256:634eb7c080210f9e5600bd6004cac6b91f8dc06d5383cb3e5e77ceb58b3ac5bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002875", "prompt": "Compute: 75 * 4 + 65 * (-98)", "solution_steps": ["Multiply: 75 * 4 = 300", "Multiply: 65 * (-98) = -6370", "Add: 300 + (-6370) = -6070"], "final_answer": "-6070", "answer_type": "integer", "kind": "expression", "math_text": "75 * 4 + 65 * (-98)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 4, \"c\": 65, \"d\": -98}", "seed": "18414740082945717893", "semantic_fingerprint": "sha256:2832c0945698687656c4e860df5695f239104ff8899520d6e66281b4a3d0351b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002876", "prompt": "Solve the equation 10(x - 55) + 611 = 3(x + 4) for x.", "solution_steps": ["Expand: 10x - 550 + 611 = 3(x + 4)", "Expand: 10x - 550 + 611 = 3x + 12", "Combine constants: 10x + 61 = 3x + 12", "Subtract 3x from both sides: 7x + 61 = 12", "Subtract 61 from both sides: 7x = -49", "Divide both sides by 7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 55) + 611 = 3(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 55, \"c\": 3, \"d\": 4, \"f\": 611, \"x\": -7}", "seed": "11751267187314805835", "semantic_fingerprint": "sha256:ec96a0b6f44ffdee36f7bc50ef7c58b076e76e343f8bf6cba999bea84424dbb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002877", "prompt": "Solve for x: 4(x - 1) + 292 = 2(x + 5)", "solution_steps": ["Expand: 4x - 4 + 292 = 2(x + 5)", "Expand: 4x - 4 + 292 = 2x + 10", "Combine constants: 4x + 288 = 2x + 10", "Subtract 2x from both sides: 2x + 288 = 10", "Subtract 288 from both sides: 2x = -278", "Divide both sides by 2: x = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) + 292 = 2(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 292, \"d\": 2, \"e\": 5}", "seed": "15306255255844885868", "semantic_fingerprint": "sha256:856f7cd3f3b74fb20f1157fc8296f48e580dc06eb78b5110d21df19fc165c3a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002878", "prompt": "Compute: -7 - 95 * (13 / (-4))", "solution_steps": ["Divide: 13 / (-4) = -13/4", "Multiply: 95 * (-13/4) = -1235/4", "Subtract: -7 - (-1235/4) = 1207/4"], "final_answer": "1207/4", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 95 * (13 / (-4))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 95, \"c\": 13, \"d\": -4}", "seed": "11026207715292753944", "semantic_fingerprint": "sha256:b22c85ba5374d6e24d1dd1503bd125249fb86c5f887e537298c360dc38b6f78f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002879", "prompt": "What is 4 * (-1) - (-622) - (-4) * (-78) - (-9)?", "solution_steps": ["Multiply: 4 * (-1) = -4", "Subtract: -4 - (-622) = 618", "Multiply: -4 * (-78) = 312", "Subtract: 618 - 312 = 306", "Subtract: 306 - (-9) = 315"], "final_answer": "315", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-1) - (-622) - (-4) * (-78) - (-9)", "variable": null, "family": "expression_5op", "shape": "(- (- (- (* n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -1, \"c\": -622, \"d\": -4, \"e\": -78, \"f\": -9}", "seed": "2468933612184157029", "semantic_fingerprint": "sha256:851396e1bc2e712e9b1f8c6b79922d0dc2ca8317ea7cd4e01bc0ae28211cba92", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002880", "prompt": "Evaluate: (46 - 3 - 29) * 753", "solution_steps": ["Subtract: 46 - 3 = 43", "Subtract: 43 - 29 = 14", "Multiply: 14 * 753 = 10542"], "final_answer": "10542", "answer_type": "integer", "kind": "expression", "math_text": "(46 - 3 - 29) * 753", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 3, \"c\": 29, \"d\": 753}", "seed": "9698968976385270005", "semantic_fingerprint": "sha256:c48c07a239b6016900a900e06ad8a44783a2730e00d10a056867acef463b5132", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002881", "prompt": "What value of x satisfies 6x - 607 = 7(x - 84)?", "solution_steps": ["Expand: 6x - 607 = 7x - 588", "Subtract 7x from both sides: -x - 607 = -588", "Add 607 to both sides: -x = 19", "Divide both sides by -1: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 607 = 7(x - 84)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 84, \"e\": -607, \"x\": -19}", "seed": "172683666852913339", "semantic_fingerprint": "sha256:e97b1c60c6042c754742a55db44bfbe330417729e7108bacb04faea0605440f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002882", "prompt": "What value of x satisfies -2x = 9(x + 54) - 277?", "solution_steps": ["Expand: -2x = 9x + 486 - 277", "Combine constants: -2x = 9x + 209", "Subtract 9x from both sides: -11x = 209", "Divide both sides by -11: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 9(x + 54) - 277", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 54, \"e\": -277, \"x\": -19}", "seed": "4070976681661721256", "semantic_fingerprint": "sha256:0c5308151f6d631b619cfdeea1617c3aff32d9c7931d59f48db08aab63ae00c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002883", "prompt": "Solve for x: -5x = 2(x + 8) - 65", "solution_steps": ["Expand: -5x = 2x + 16 - 65", "Combine constants: -5x = 2x - 49", "Subtract 2x from both sides: -7x = -49", "Divide both sides by -7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 2(x + 8) - 65", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 8, \"e\": -65, \"x\": 7}", "seed": "5620235701027065572", "semantic_fingerprint": "sha256:2c06f90275202cac827a09da14107ef4ae8179fe6f685d85d2b0f1abe5813ceb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002884", "prompt": "Solve the equation 10x - 369 = -8x - 423 for x.", "solution_steps": ["Add 8x to both sides: 18x - 369 = -423", "Add 369 to both sides: 18x = -54", "Divide both sides by 18: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 369 = -8x - 423", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 369, \"c\": -8, \"e\": -423, \"x\": -3}", "seed": "6690654038264879541", "semantic_fingerprint": "sha256:7f68060bad6e1e981d967aa20737341411916bb12d8732726af49573b8484c60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002885", "prompt": "Evaluate: -56 + (395 + (7 / (-35) / 2 - 6))", "solution_steps": ["Divide: 7 / (-35) = -1/5", "Divide: (-1/5) / 2 = -1/10", "Subtract: -1/10 - 6 = -61/10", "Add: 395 + (-61/10) = 3889/10", "Add: -56 + 3889/10 = 3329/10"], "final_answer": "3329/10", "answer_type": "rational", "kind": "expression", "math_text": "-56 + (395 + (7 / (-35) / 2 - 6))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (- (/ (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 395, \"c\": 7, \"d\": -35, \"e\": 2, \"f\": 6}", "seed": "2779814512214680019", "semantic_fingerprint": "sha256:4f9f2211233f16693d371bd740228905207ac9eade7d8c61baa85bb3e199475c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002886", "prompt": "What is -747 * 20 + (-940) + (30 - (-65))?", "solution_steps": ["Multiply: -747 * 20 = -14940", "Add: -14940 + (-940) = -15880", "Subtract: 30 - (-65) = 95", "Add: -15880 + 95 = -15785"], "final_answer": "-15785", "answer_type": "integer", "kind": "expression", "math_text": "-747 * 20 + (-940) + (30 - (-65))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -747, \"b\": 20, \"c\": -940, \"d\": 30, \"e\": -65}", "seed": "7666239426909171589", "semantic_fingerprint": "sha256:77f1ca7a93b0b1ab06378eb478f81be54306a2883b5cc6ea566ab653f4ca8ae8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002887", "prompt": "Compute: (8 - (-458) + 185 - (-5)) * (29 / 66)", "solution_steps": ["Subtract: 8 - (-458) = 466", "Add: 466 + 185 = 651", "Subtract: 651 - (-5) = 656", "Divide: 29 / 66 = 29/66", "Multiply: 656 * (29/66) = 9512/33"], "final_answer": "9512/33", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-458) + 185 - (-5)) * (29 / 66)", "variable": null, "family": "expression_5op", "shape": "(* (- (+ (- n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -458, \"c\": 185, \"d\": -5, \"e\": 29, \"f\": 66}", "seed": "14466577066952137172", "semantic_fingerprint": "sha256:82ed461849b8fb1f83a5bdad36ea90e8c931a6366e0b93039eb79b2147f234a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002888", "prompt": "Solve the equation -9(x - 8) + 333 = 11(x + 55) for x.", "solution_steps": ["Expand: -9x + 72 + 333 = 11(x + 55)", "Expand: -9x + 72 + 333 = 11x + 605", "Combine constants: -9x + 405 = 11x + 605", "Subtract 11x from both sides: -20x + 405 = 605", "Subtract 405 from both sides: -20x = 200", "Divide both sides by -20: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 8) + 333 = 11(x + 55)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": 11, \"d\": 55, \"f\": 333, \"x\": -10}", "seed": "3267293148582020753", "semantic_fingerprint": "sha256:e2ccc7e9727f29291e0a3da83258fe125e3275eefa9a1aa2afc781199f552ce4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002889", "prompt": "Find x: 12x - 3 = -3(x - 1)", "solution_steps": ["Expand: 12x - 3 = -3x + 3", "Add 3x to both sides: 15x - 3 = 3", "Add 3 to both sides: 15x = 6", "Divide both sides by 15: x = 2/5"], "final_answer": "2/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 3 = -3(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": -3, \"d\": 1}", "seed": "3663745226779579910", "semantic_fingerprint": "sha256:e5839ee627086f45944d006dccdf9c6a0a32ad4d3c3c088006c03b920994a94b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002890", "prompt": "Compute: 6 - (-417 + 462) / 93", "solution_steps": ["Add: -417 + 462 = 45", "Divide: 45 / 93 = 15/31", "Subtract: 6 - 15/31 = 171/31"], "final_answer": "171/31", "answer_type": "rational", "kind": "expression", "math_text": "6 - (-417 + 462) / 93", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -417, \"c\": 462, \"d\": 93}", "seed": "4188659739990908532", "semantic_fingerprint": "sha256:b71a6098d34098f217d7df34c50640d7917bb18e037430affc8fe0609ff2aadf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002891", "prompt": "Compute: 3 * (68 / (-307) / (-6)) * (-80)", "solution_steps": ["Divide: 68 / (-307) = -68/307", "Divide: (-68/307) / (-6) = 34/921", "Multiply: 3 * (34/921) = 34/307", "Multiply: (34/307) * (-80) = -2720/307"], "final_answer": "-2720/307", "answer_type": "rational", "kind": "expression", "math_text": "3 * (68 / (-307) / (-6)) * (-80)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 68, \"c\": -307, \"d\": -6, \"e\": -80}", "seed": "1734014883714761714", "semantic_fingerprint": "sha256:e9c168d40e3732dca6dc43b006a09d2336736c1d88c46e73cb87086a9974ae8f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002892", "prompt": "What is (-88 - 8 - 957) * (-98)?", "solution_steps": ["Subtract: -88 - 8 = -96", "Subtract: -96 - 957 = -1053", "Multiply: -1053 * (-98) = 103194"], "final_answer": "103194", "answer_type": "integer", "kind": "expression", "math_text": "(-88 - 8 - 957) * (-98)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 8, \"c\": 957, \"d\": -98}", "seed": "9472696701183737350", "semantic_fingerprint": "sha256:fdeb250ddaecbb7e2760ec75ce0e96dab25371c3ce74f42ccfbbb1585bcf0f33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002893", "prompt": "Evaluate: 284 + (-458 - (-67)) + 45", "solution_steps": ["Subtract: -458 - (-67) = -391", "Add: 284 + (-391) = -107", "Add: -107 + 45 = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "expression", "math_text": "284 + (-458 - (-67)) + 45", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 284, \"b\": -458, \"c\": -67, \"d\": 45}", "seed": "11238561681600048224", "semantic_fingerprint": "sha256:2ee72a7b99c5c4df1f215c3238e7c04caabd16ec5fd343a3c012d8545c508bfe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002894", "prompt": "What value of x satisfies 8x - 2 = 3x - 62?", "solution_steps": ["Subtract 3x from both sides: 5x - 2 = -62", "Add 2 to both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 2 = 3x - 62", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 3, \"e\": -62, \"x\": -12}", "seed": "8557820772262926860", "semantic_fingerprint": "sha256:7c60b4f71b03a4da91f2f8ff6ea28c1d2cca129af45744f0d6a60406c471ae5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002895", "prompt": "What is 99 + (-4 - 966) / (6 / (-558)) - (-63)?", "solution_steps": ["Subtract: -4 - 966 = -970", "Divide: 6 / (-558) = -1/93", "Divide: -970 / (-1/93) = 90210", "Add: 99 + 90210 = 90309", "Subtract: 90309 - (-63) = 90372"], "final_answer": "90372", "answer_type": "integer", "kind": "expression", "math_text": "99 + (-4 - 966) / (6 / (-558)) - (-63)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ (- n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -4, \"c\": 966, \"d\": 6, \"e\": -558, \"f\": -63}", "seed": "5838067850820516392", "semantic_fingerprint": "sha256:e7b8ebdc70d9581701c4bdd38e2c49a672ae591a8c6033f665d7d2a43b8f5d21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002896", "prompt": "Find x: 5(x + 32) = 11(x - 5) + 1", "solution_steps": ["Expand: 5x + 160 = 11(x - 5) + 1", "Expand: 5x + 160 = 11x - 55 + 1", "Combine constants: 5x + 160 = 11x - 54", "Subtract 11x from both sides: -6x + 160 = -54", "Subtract 160 from both sides: -6x = -214", "Divide both sides by -6: x = 107/3"], "final_answer": "107/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 32) = 11(x - 5) + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 32, \"c\": 11, \"d\": 5, \"e\": 1}", "seed": "4926337156151229988", "semantic_fingerprint": "sha256:3aadd7db6254339726adeb8a233466147cd1bc1b31fb664556946a7a72bc74c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002897", "prompt": "Evaluate: 1 * (-925) - (-5) + (-819) / (-6)", "solution_steps": ["Multiply: 1 * (-925) = -925", "Subtract: -925 - (-5) = -920", "Divide: -819 / (-6) = 273/2", "Add: -920 + 273/2 = -1567/2"], "final_answer": "-1567/2", "answer_type": "rational", "kind": "expression", "math_text": "1 * (-925) - (-5) + (-819) / (-6)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -925, \"c\": -5, \"d\": -819, \"e\": -6}", "seed": "11939591069228909704", "semantic_fingerprint": "sha256:85a2d90ced4647b34271455ffec7ec75a97e0daad0ebb80d740e310dcad7b4ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002898", "prompt": "Calculate: 789 * (-9) + (-47 - 4) - 31", "solution_steps": ["Multiply: 789 * (-9) = -7101", "Subtract: -47 - 4 = -51", "Add: -7101 + (-51) = -7152", "Subtract: -7152 - 31 = -7183"], "final_answer": "-7183", "answer_type": "integer", "kind": "expression", "math_text": "789 * (-9) + (-47 - 4) - 31", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 789, \"b\": -9, \"c\": -47, \"d\": 4, \"e\": 31}", "seed": "17083499715006504026", "semantic_fingerprint": "sha256:0da1d2f47f53931b494e44bfb641dbfed2077c030047d95b6c8f163a17909026", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002899", "prompt": "Compute: 0 - 21 * (8 / 32)", "solution_steps": ["Divide: 8 / 32 = 1/4", "Multiply: 21 * (1/4) = 21/4", "Subtract: 0 - 21/4 = -21/4"], "final_answer": "-21/4", "answer_type": "rational", "kind": "expression", "math_text": "0 - 21 * (8 / 32)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 21, \"c\": 8, \"d\": 32}", "seed": "15341236645109075640", "semantic_fingerprint": "sha256:40c592608411e8c909d28309627d432d248b17428fc0c227749e91f925f8a060", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002900", "prompt": "Compute: (68 - 0) / (-91) * (-46 - (-626))", "solution_steps": ["Subtract: 68 - 0 = 68", "Divide: 68 / (-91) = -68/91", "Subtract: -46 - (-626) = 580", "Multiply: (-68/91) * 580 = -39440/91"], "final_answer": "-39440/91", "answer_type": "rational", "kind": "expression", "math_text": "(68 - 0) / (-91) * (-46 - (-626))", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 0, \"c\": -91, \"d\": -46, \"e\": -626}", "seed": "9415329779904095585", "semantic_fingerprint": "sha256:cab0a7146f46b6119e1768fd79988879d8c16079f3a321549f3f5f6fbcd65332", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002901", "prompt": "Solve the equation 2x = 11(x + 2) + 11 for x.", "solution_steps": ["Expand: 2x = 11x + 22 + 11", "Combine constants: 2x = 11x + 33", "Subtract 11x from both sides: -9x = 33", "Divide both sides by -9: x = -11/3"], "final_answer": "-11/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 11(x + 2) + 11", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 11, \"c\": 2, \"d\": 11}", "seed": "1435717399359247720", "semantic_fingerprint": "sha256:4a420bebb0b2a1aa1ca4bc78105c3630e68d8f86ddd1074e7b8c2e4693528fcb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002902", "prompt": "Solve for x: 2(x + 8) + 15 = x + 23", "solution_steps": ["Expand: 2x + 16 + 15 = x + 23", "Combine constants: 2x + 31 = x + 23", "Subtract x from both sides: x + 31 = 23", "Subtract 31 from both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 8) + 15 = x + 23", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 15, \"e\": 23, \"x\": -8}", "seed": "2766677401876615711", "semantic_fingerprint": "sha256:ac75eb2548eedd3ae78af5668c1fbaca318cdbfabd46c55e5d5bf7178da7aef7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002903", "prompt": "What is 9 - (-414 + (-6)) / (-35)?", "solution_steps": ["Add: -414 + (-6) = -420", "Divide: -420 / (-35) = 12", "Subtract: 9 - 12 = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-414 + (-6)) / (-35)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -414, \"c\": -6, \"d\": -35}", "seed": "10753082879705311458", "semantic_fingerprint": "sha256:e10529ae15c8c742c7ae783565371ecc0e9b38b8647994188168476f0321eac3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002904", "prompt": "Compute: -72 / (-1 * (98 / (-47) - (-250))) / (-9)", "solution_steps": ["Divide: 98 / (-47) = -98/47", "Subtract: -98/47 - (-250) = 11652/47", "Multiply: -1 * (11652/47) = -11652/47", "Divide: -72 / (-11652/47) = 282/971", "Divide: (282/971) / (-9) = -94/2913"], "final_answer": "-94/2913", "answer_type": "rational", "kind": "expression", "math_text": "-72 / (-1 * (98 / (-47) - (-250))) / (-9)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (* n (- (/ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -1, \"c\": 98, \"d\": -47, \"e\": -250, \"f\": -9}", "seed": "12832838103773618190", "semantic_fingerprint": "sha256:76da97199d7404f7b233b6a3455b0e7da3bc701073790577d629130ffcbb8deb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002905", "prompt": "Calculate: (39 + 288) * (-493 - 3) - (-96)", "solution_steps": ["Add: 39 + 288 = 327", "Subtract: -493 - 3 = -496", "Multiply: 327 * (-496) = -162192", "Subtract: -162192 - (-96) = -162096"], "final_answer": "-162096", "answer_type": "integer", "kind": "expression", "math_text": "(39 + 288) * (-493 - 3) - (-96)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 288, \"c\": -493, \"d\": 3, \"e\": -96}", "seed": "16983261446962774533", "semantic_fingerprint": "sha256:90a6243d7fa49fc001c05e86ddf3cc6371498b66db06d171a1fdcbb50e2ace9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002906", "prompt": "Find x: 8x - 678 = 12x - 750", "solution_steps": ["Subtract 12x from both sides: -4x - 678 = -750", "Add 678 to both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 678 = 12x - 750", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 678, \"c\": 12, \"e\": -750, \"x\": 18}", "seed": "1196294014782358467", "semantic_fingerprint": "sha256:d581cd314d00b452defb0fe11d98ffcd5531bee4029f265629554e286b285d2f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002907", "prompt": "Evaluate: -7 + (-48 - (-82 + (-60)))", "solution_steps": ["Add: -82 + (-60) = -142", "Subtract: -48 - (-142) = 94", "Add: -7 + 94 = 87"], "final_answer": "87", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-48 - (-82 + (-60)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -48, \"c\": -82, \"d\": -60}", "seed": "6404369484048774416", "semantic_fingerprint": "sha256:279da2c14cbc8517029212ca0fa83b79393b4a8fc8f6b0174c42977beee23f78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002908", "prompt": "What is (-1 - (-48)) / (9 * (-121)) + (-4) * (-53)?", "solution_steps": ["Subtract: -1 - (-48) = 47", "Multiply: 9 * (-121) = -1089", "Divide: 47 / (-1089) = -47/1089", "Multiply: -4 * (-53) = 212", "Add: -47/1089 + 212 = 230821/1089"], "final_answer": "230821/1089", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-48)) / (9 * (-121)) + (-4) * (-53)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (* n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -48, \"c\": 9, \"d\": -121, \"e\": -4, \"f\": -53}", "seed": "8610906683134824632", "semantic_fingerprint": "sha256:22de2d754400c9af5a101e46efa6bbe6e1ef74c9453e6048310d404c80c6560d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002909", "prompt": "What is -8 * (-10) * (-7 / (-12))?", "solution_steps": ["Multiply: -8 * (-10) = 80", "Divide: -7 / (-12) = 7/12", "Multiply: 80 * (7/12) = 140/3"], "final_answer": "140/3", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-10) * (-7 / (-12))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -10, \"c\": -7, \"d\": -12}", "seed": "10863960313586055748", "semantic_fingerprint": "sha256:c5138bff39dd83bea1c719fd4e07f43ec1a2720c3a710adb5f13e2fceef431af", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002910", "prompt": "What is 456 * 3 - (9 - (-93 + (-4)) * (-34))?", "solution_steps": ["Multiply: 456 * 3 = 1368", "Add: -93 + (-4) = -97", "Multiply: -97 * (-34) = 3298", "Subtract: 9 - 3298 = -3289", "Subtract: 1368 - (-3289) = 4657"], "final_answer": "4657", "answer_type": "integer", "kind": "expression", "math_text": "456 * 3 - (9 - (-93 + (-4)) * (-34))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 456, \"b\": 3, \"c\": 9, \"d\": -93, \"e\": -4, \"f\": -34}", "seed": "4341385867959429391", "semantic_fingerprint": "sha256:7bbbe5c1e6a368e328b0272157d1755075ec17d997089de3aca81f5caf1670bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002911", "prompt": "Compute: (-76 - (642 - (-5))) / 18 / (-2 + 9)", "solution_steps": ["Subtract: 642 - (-5) = 647", "Subtract: -76 - 647 = -723", "Divide: -723 / 18 = -241/6", "Add: -2 + 9 = 7", "Divide: (-241/6) / 7 = -241/42"], "final_answer": "-241/42", "answer_type": "rational", "kind": "expression", "math_text": "(-76 - (642 - (-5))) / 18 / (-2 + 9)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n (- n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 642, \"c\": -5, \"d\": 18, \"e\": -2, \"f\": 9}", "seed": "11401226690014874968", "semantic_fingerprint": "sha256:94ab08e36c5165d26e42921f8e014e86c5e629eaf24670813f4d29412d02364a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002912", "prompt": "What value of x satisfies 10x - 409 = 2x - 53?", "solution_steps": ["Subtract 2x from both sides: 8x - 409 = -53", "Add 409 to both sides: 8x = 356", "Divide both sides by 8: x = 89/2"], "final_answer": "89/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 409 = 2x - 53", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 409, \"c\": 2, \"d\": 53}", "seed": "14086054780324649339", "semantic_fingerprint": "sha256:edc29f39caf0bd760cceedda2fef37bbeb681d14625fcb766b639ea9ee845106", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002913", "prompt": "What value of x satisfies 6(x + 6) + 270 = x + 386?", "solution_steps": ["Expand: 6x + 36 + 270 = x + 386", "Combine constants: 6x + 306 = x + 386", "Subtract x from both sides: 5x + 306 = 386", "Subtract 306 from both sides: 5x = 80", "Divide both sides by 5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 6) + 270 = x + 386", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 270, \"e\": 386, \"x\": 16}", "seed": "3673197528793067308", "semantic_fingerprint": "sha256:0b9a5652c1c44bf8109b9d6c52646562acd8c44255cc338ec76ee2c8d66e296b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002914", "prompt": "Solve for x: -11(x - 71) - 24 = x + 613", "solution_steps": ["Expand: -11x + 781 - 24 = x + 613", "Combine constants: -11x + 757 = x + 613", "Subtract x from both sides: -12x + 757 = 613", "Subtract 757 from both sides: -12x = -144", "Divide both sides by -12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 71) - 24 = x + 613", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 71, \"c\": 24, \"e\": 613, \"x\": 12}", "seed": "5479542278876240715", "semantic_fingerprint": "sha256:af64b5966e27f865641d487855e567c51fc6fff487ce6bff822df20b2e5720f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002915", "prompt": "Find x: 5(x - 3) + 41 = 3(x + 5)", "solution_steps": ["Expand: 5x - 15 + 41 = 3(x + 5)", "Expand: 5x - 15 + 41 = 3x + 15", "Combine constants: 5x + 26 = 3x + 15", "Subtract 3x from both sides: 2x + 26 = 15", "Subtract 26 from both sides: 2x = -11", "Divide both sides by 2: x = -11/2"], "final_answer": "-11/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 3) + 41 = 3(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 41, \"d\": 3, \"e\": 5}", "seed": "11850398542330799467", "semantic_fingerprint": "sha256:7ea09d64d052c1939a46fc0790459620523049196028d11adeaa4fc2fb540895", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002916", "prompt": "What value of x satisfies 5(x + 93) - 226 = x + 283?", "solution_steps": ["Expand: 5x + 465 - 226 = x + 283", "Combine constants: 5x + 239 = x + 283", "Subtract x from both sides: 4x + 239 = 283", "Subtract 239 from both sides: 4x = 44", "Divide both sides by 4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 93) - 226 = x + 283", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 93, \"c\": 226, \"e\": 283, \"x\": 11}", "seed": "4842209971603925848", "semantic_fingerprint": "sha256:23db27a85d5dfe694823cc22fb6e3eb11d9fca1f2e3a0ed7c22f7314e1582dae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002917", "prompt": "Evaluate: 32 / (-72 * (-25 + 0))", "solution_steps": ["Add: -25 + 0 = -25", "Multiply: -72 * (-25) = 1800", "Divide: 32 / 1800 = 4/225"], "final_answer": "4/225", "answer_type": "rational", "kind": "expression", "math_text": "32 / (-72 * (-25 + 0))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -72, \"c\": -25, \"d\": 0}", "seed": "8649534258670529848", "semantic_fingerprint": "sha256:2d74d1831a271741a79ad7e2f54a44dc4833e17ece4371e9f5e8e57f6614b18d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002918", "prompt": "Compute: 35 + (-7) * (-3) - (457 + (-2))", "solution_steps": ["Multiply: -7 * (-3) = 21", "Add: 35 + 21 = 56", "Add: 457 + (-2) = 455", "Subtract: 56 - 455 = -399"], "final_answer": "-399", "answer_type": "integer", "kind": "expression", "math_text": "35 + (-7) * (-3) - (457 + (-2))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -7, \"c\": -3, \"d\": 457, \"e\": -2}", "seed": "6819726153124349183", "semantic_fingerprint": "sha256:b48dc5c3b63c0767adc3a674f90827557480047e080d4caaa5b8b053363fba9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002919", "prompt": "Calculate: 1 * (-341 * (-280)) + 394", "solution_steps": ["Multiply: -341 * (-280) = 95480", "Multiply: 1 * 95480 = 95480", "Add: 95480 + 394 = 95874"], "final_answer": "95874", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-341 * (-280)) + 394", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -341, \"c\": -280, \"d\": 394}", "seed": "6380590842090489149", "semantic_fingerprint": "sha256:f958fcc2d7093f3a3a28f37f17c83cb69a4a9ad1e77d499f4aa989d7bb3d275b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002920", "prompt": "Calculate: 76 / (-41) * (-55) * (5 * (-3))", "solution_steps": ["Divide: 76 / (-41) = -76/41", "Multiply: (-76/41) * (-55) = 4180/41", "Multiply: 5 * (-3) = -15", "Multiply: (4180/41) * (-15) = -62700/41"], "final_answer": "-62700/41", "answer_type": "rational", "kind": "expression", "math_text": "76 / (-41) * (-55) * (5 * (-3))", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -41, \"c\": -55, \"d\": 5, \"e\": -3}", "seed": "15911389073670378254", "semantic_fingerprint": "sha256:2a78afa3e74cf945cf7893511d94b13d8e62494de4b4ed02d128dce5aece7555", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002921", "prompt": "What value of x satisfies 11x - 5 = -5x - 6?", "solution_steps": ["Add 5x to both sides: 16x - 5 = -6", "Add 5 to both sides: 16x = -1", "Divide both sides by 16: x = -1/16"], "final_answer": "-1/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 5 = -5x - 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -5, \"d\": 6}", "seed": "11996308807490987288", "semantic_fingerprint": "sha256:ec15c96bddd3c1782b6c668f1521a6620c836d6c5a4db21aca01647f09f01b7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002922", "prompt": "What is -37 * (-50) * (544 / 312)?", "solution_steps": ["Multiply: -37 * (-50) = 1850", "Divide: 544 / 312 = 68/39", "Multiply: 1850 * (68/39) = 125800/39"], "final_answer": "125800/39", "answer_type": "rational", "kind": "expression", "math_text": "-37 * (-50) * (544 / 312)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -50, \"c\": 544, \"d\": 312}", "seed": "12533998632095694044", "semantic_fingerprint": "sha256:fa3ac8bf95f6cc4fe06442d8f69a8b6925c0033409f7466e461f18c4ff4d4c7f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002923", "prompt": "Solve the equation -7x - 6 = 4x - 72 for x.", "solution_steps": ["Subtract 4x from both sides: -11x - 6 = -72", "Add 6 to both sides: -11x = -66", "Divide both sides by -11: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 6 = 4x - 72", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 4, \"e\": -72, \"x\": 6}", "seed": "7122984313516243396", "semantic_fingerprint": "sha256:c1c6c5f6a4321ab2eee0360917f20caf6fe32312969ead945b356d3b0442b0c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002924", "prompt": "Solve the equation -4x - 374 = 10(x - 29) for x.", "solution_steps": ["Expand: -4x - 374 = 10x - 290", "Subtract 10x from both sides: -14x - 374 = -290", "Add 374 to both sides: -14x = 84", "Divide both sides by -14: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 374 = 10(x - 29)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 10, \"c\": 29, \"e\": -374, \"x\": -6}", "seed": "3506594221134784403", "semantic_fingerprint": "sha256:3ee9e92f049d15023475b99039266ab5f3f7a8867f1b635e23a141fda66bb922", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002925", "prompt": "What value of x satisfies 3(x + 57) = 9(x - 98) + 8?", "solution_steps": ["Expand: 3x + 171 = 9(x - 98) + 8", "Expand: 3x + 171 = 9x - 882 + 8", "Combine constants: 3x + 171 = 9x - 874", "Subtract 9x from both sides: -6x + 171 = -874", "Subtract 171 from both sides: -6x = -1045", "Divide both sides by -6: x = 1045/6"], "final_answer": "1045/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 57) = 9(x - 98) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 57, \"c\": 9, \"d\": 98, \"e\": 8}", "seed": "15548477018499004219", "semantic_fingerprint": "sha256:43f8aa4a122d494aec45c079a539edf90ba5a87dd8878ff8a65e3e1987da94d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002926", "prompt": "Solve the equation -2x - 94 = 7x - 76 for x.", "solution_steps": ["Subtract 7x from both sides: -9x - 94 = -76", "Add 94 to both sides: -9x = 18", "Divide both sides by -9: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 94 = 7x - 76", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 94, \"c\": 7, \"e\": -76, \"x\": -2}", "seed": "16567485569673815323", "semantic_fingerprint": "sha256:a36e0450d4782754c6832a1cf73a49bb6f1472689c61cf5fae6de1a4344dc30f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002927", "prompt": "Calculate: -69 * (3 + 62) + 58 / (-4 + 81)", "solution_steps": ["Add: 3 + 62 = 65", "Multiply: -69 * 65 = -4485", "Add: -4 + 81 = 77", "Divide: 58 / 77 = 58/77", "Add: -4485 + 58/77 = -345287/77"], "final_answer": "-345287/77", "answer_type": "rational", "kind": "expression", "math_text": "-69 * (3 + 62) + 58 / (-4 + 81)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 3, \"c\": 62, \"d\": 58, \"e\": -4, \"f\": 81}", "seed": "3410207920940889023", "semantic_fingerprint": "sha256:21ecbcff187dbfd0f6d4160bddfb876b21f07d9c6a7d289a78e367cd7f34956e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002928", "prompt": "Calculate: 0 / ((-1 + 60) / (-97 + (-30)))", "solution_steps": ["Add: -1 + 60 = 59", "Add: -97 + (-30) = -127", "Divide: 59 / (-127) = -59/127", "Divide: 0 / (-59/127) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / ((-1 + 60) / (-97 + (-30)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": 60, \"d\": -97, \"e\": -30}", "seed": "2636066463155742392", "semantic_fingerprint": "sha256:cbbc6963163b2217dbe23586e23b221b1da2fabefd0104a51930dd1e194257cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002929", "prompt": "Compute: 94 * (-86 * 91) + (-38)", "solution_steps": ["Multiply: -86 * 91 = -7826", "Multiply: 94 * (-7826) = -735644", "Add: -735644 + (-38) = -735682"], "final_answer": "-735682", "answer_type": "integer", "kind": "expression", "math_text": "94 * (-86 * 91) + (-38)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -86, \"c\": 91, \"d\": -38}", "seed": "2412141911283970680", "semantic_fingerprint": "sha256:254f3f46a8ecfa96c5c0c481c46763cf64c528e82a4c42f2632f69dc669cc34b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002930", "prompt": "Evaluate: 747 / (24 * (-54 - (-923 + (0 + (-92)))))", "solution_steps": ["Add: 0 + (-92) = -92", "Add: -923 + (-92) = -1015", "Subtract: -54 - (-1015) = 961", "Multiply: 24 * 961 = 23064", "Divide: 747 / 23064 = 249/7688"], "final_answer": "249/7688", "answer_type": "rational", "kind": "expression", "math_text": "747 / (24 * (-54 - (-923 + (0 + (-92)))))", "variable": null, "family": "expression_5op", "shape": "(/ n (* n (- n (+ n (+ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 747, \"b\": 24, \"c\": -54, \"d\": -923, \"e\": 0, \"f\": -92}", "seed": "1657341567455298467", "semantic_fingerprint": "sha256:890c5bb2d0a9cc799deac7ea79c3d5b2b8a8885ea92ab32f80aa5e20de890986", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002931", "prompt": "Solve for x: 10(x - 71) + 824 = -12(x + 7)", "solution_steps": ["Expand: 10x - 710 + 824 = -12(x + 7)", "Expand: 10x - 710 + 824 = -12x - 84", "Combine constants: 10x + 114 = -12x - 84", "Add 12x to both sides: 22x + 114 = -84", "Subtract 114 from both sides: 22x = -198", "Divide both sides by 22: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 71) + 824 = -12(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 71, \"c\": -12, \"d\": 7, \"f\": 824, \"x\": -9}", "seed": "9891724463150016967", "semantic_fingerprint": "sha256:c8a7d5ad5a4ef0e95db198f12cdb151369a8349ecfd23956d5c64116cbb7b2fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002932", "prompt": "Solve for x: -5(x - 9) - 6 = x + 57", "solution_steps": ["Expand: -5x + 45 - 6 = x + 57", "Combine constants: -5x + 39 = x + 57", "Subtract x from both sides: -6x + 39 = 57", "Subtract 39 from both sides: -6x = 18", "Divide both sides by -6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 9) - 6 = x + 57", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 6, \"e\": 57, \"x\": -3}", "seed": "9239265199206977737", "semantic_fingerprint": "sha256:6c32d43c820928c1cb241adfec32667f97d3d7fbef2f07f4f2a9adac5629e745", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002933", "prompt": "Evaluate: 0 / (-672 / (-402)) + 6", "solution_steps": ["Divide: -672 / (-402) = 112/67", "Divide: 0 / (112/67) = 0", "Add: 0 + 6 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-672 / (-402)) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -672, \"c\": -402, \"d\": 6}", "seed": "1751218389851087228", "semantic_fingerprint": "sha256:37c944a34d9628b785a0ba8d98694ba602bfbcd3c447e612f48e59c3c4dbc7df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002934", "prompt": "Solve the equation 11x = 5(x + 9) - 3 for x.", "solution_steps": ["Expand: 11x = 5x + 45 - 3", "Combine constants: 11x = 5x + 42", "Subtract 5x from both sides: 6x = 42", "Divide both sides by 6: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 5(x + 9) - 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 9, \"e\": -3, \"x\": 7}", "seed": "13774734339271613797", "semantic_fingerprint": "sha256:b871992639694b7a308c6cc02ee2df6093fb4694e95b97041e68f1477bacb9b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002935", "prompt": "Find x: -7x - 425 = 5(x - 85)", "solution_steps": ["Expand: -7x - 425 = 5x - 425", "Subtract 5x from both sides: -12x - 425 = -425", "Add 425 to both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 425 = 5(x - 85)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 85, \"e\": -425, \"x\": 0}", "seed": "2754255134595076640", "semantic_fingerprint": "sha256:7ae8ee4463c242d8159d3131736fa4c2c00d3ee06236905955b82ac8b23c23d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002936", "prompt": "Compute: 697 * (-85) + (-98) + (-7)", "solution_steps": ["Multiply: 697 * (-85) = -59245", "Add: -59245 + (-98) = -59343", "Add: -59343 + (-7) = -59350"], "final_answer": "-59350", "answer_type": "integer", "kind": "expression", "math_text": "697 * (-85) + (-98) + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 697, \"b\": -85, \"c\": -98, \"d\": -7}", "seed": "9128272895213265302", "semantic_fingerprint": "sha256:1317553e160295169ef68b6dad33008e5bfc303bc8ca048d3c1af6b53a3e4ea3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002937", "prompt": "Find x: 4(x + 4) + 2 = x + 24", "solution_steps": ["Expand: 4x + 16 + 2 = x + 24", "Combine constants: 4x + 18 = x + 24", "Subtract x from both sides: 3x + 18 = 24", "Subtract 18 from both sides: 3x = 6", "Divide both sides by 3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 4) + 2 = x + 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 2, \"e\": 24, \"x\": 2}", "seed": "6978314146844888685", "semantic_fingerprint": "sha256:9191509128bbfc258f0c6d06e8580276b957201f26081bcaebc9c88dd842eb90", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002938", "prompt": "What is (-2 * (-47) + (-12 + 8 * (-979))) * (-7)?", "solution_steps": ["Multiply: -2 * (-47) = 94", "Multiply: 8 * (-979) = -7832", "Add: -12 + (-7832) = -7844", "Add: 94 + (-7844) = -7750", "Multiply: -7750 * (-7) = 54250"], "final_answer": "54250", "answer_type": "integer", "kind": "expression", "math_text": "(-2 * (-47) + (-12 + 8 * (-979))) * (-7)", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) (+ n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -47, \"c\": -12, \"d\": 8, \"e\": -979, \"f\": -7}", "seed": "13669133695940206319", "semantic_fingerprint": "sha256:d6b12f66153338d005fde873a8ae389d0da9ccacc8f2b7d9c79064096cd7aebf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002939", "prompt": "Find x: -11(x - 27) - 5 = x + 436", "solution_steps": ["Expand: -11x + 297 - 5 = x + 436", "Combine constants: -11x + 292 = x + 436", "Subtract x from both sides: -12x + 292 = 436", "Subtract 292 from both sides: -12x = 144", "Divide both sides by -12: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 27) - 5 = x + 436", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 27, \"c\": 5, \"e\": 436, \"x\": -12}", "seed": "641334713611090746", "semantic_fingerprint": "sha256:247215c13b12e789ef2863f7c05a9eadc353215ca7501b3a43f11d9bea85e7de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002940", "prompt": "Find x: -10(x + 4) = 4(x - 74) + 494", "solution_steps": ["Expand: -10x - 40 = 4(x - 74) + 494", "Expand: -10x - 40 = 4x - 296 + 494", "Combine constants: -10x - 40 = 4x + 198", "Subtract 4x from both sides: -14x - 40 = 198", "Add 40 to both sides: -14x = 238", "Divide both sides by -14: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 4) = 4(x - 74) + 494", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"c\": 4, \"d\": 74, \"f\": 494, \"x\": -17}", "seed": "7126877507021209425", "semantic_fingerprint": "sha256:b6cf444d51c0a8dc7d2417e64b93e545cac9eb11be4b8349f1465b0476bca361", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002941", "prompt": "What is 49 / (18 * 484 / (978 / (3 / (-53))))?", "solution_steps": ["Multiply: 18 * 484 = 8712", "Divide: 3 / (-53) = -3/53", "Divide: 978 / (-3/53) = -17278", "Divide: 8712 / (-17278) = -4356/8639", "Divide: 49 / (-4356/8639) = -423311/4356"], "final_answer": "-423311/4356", "answer_type": "rational", "kind": "expression", "math_text": "49 / (18 * 484 / (978 / (3 / (-53))))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (* n n) (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 18, \"c\": 484, \"d\": 978, \"e\": 3, \"f\": -53}", "seed": "10587446837178447210", "semantic_fingerprint": "sha256:103e45c0988fb8518495e04c16204e3bc1e116b43175d9bb78a50578d6d04d76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002942", "prompt": "Find x: 2(x + 51) = -6(x - 3) + 140", "solution_steps": ["Expand: 2x + 102 = -6(x - 3) + 140", "Expand: 2x + 102 = -6x + 18 + 140", "Combine constants: 2x + 102 = -6x + 158", "Add 6x to both sides: 8x + 102 = 158", "Subtract 102 from both sides: 8x = 56", "Divide both sides by 8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 51) = -6(x - 3) + 140", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 51, \"c\": -6, \"d\": 3, \"f\": 140, \"x\": 7}", "seed": "14044091888270841017", "semantic_fingerprint": "sha256:34a4e0740b88d4e013009f042de00d011796f109277c6db3551502f0812770b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002943", "prompt": "Calculate: 93 - 5 * 5 + (-62) * 86", "solution_steps": ["Multiply: 5 * 5 = 25", "Subtract: 93 - 25 = 68", "Multiply: -62 * 86 = -5332", "Add: 68 + (-5332) = -5264"], "final_answer": "-5264", "answer_type": "integer", "kind": "expression", "math_text": "93 - 5 * 5 + (-62) * 86", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 5, \"c\": 5, \"d\": -62, \"e\": 86}", "seed": "4203976355614105716", "semantic_fingerprint": "sha256:07937e09d57358eb5b657f7cb0f9b0482727c8004c8c1234cb883f8291614af0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002944", "prompt": "Find x: 5(x + 2) + 7 = x + 42", "solution_steps": ["Expand: 5x + 10 + 7 = x + 42", "Combine constants: 5x + 17 = x + 42", "Subtract x from both sides: 4x + 17 = 42", "Subtract 17 from both sides: 4x = 25", "Divide both sides by 4: x = 25/4"], "final_answer": "25/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 2) + 7 = x + 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 7, \"d\": 42}", "seed": "3478475142538221007", "semantic_fingerprint": "sha256:bb2ce2a524e349d3c47246d3fa104cf63e44e3fc834e875429f576602219238c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002945", "prompt": "Solve for x: 5(x - 56) + 301 = -6(x + 24)", "solution_steps": ["Expand: 5x - 280 + 301 = -6(x + 24)", "Expand: 5x - 280 + 301 = -6x - 144", "Combine constants: 5x + 21 = -6x - 144", "Add 6x to both sides: 11x + 21 = -144", "Subtract 21 from both sides: 11x = -165", "Divide both sides by 11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 56) + 301 = -6(x + 24)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 56, \"c\": -6, \"d\": 24, \"f\": 301, \"x\": -15}", "seed": "14173034882533864649", "semantic_fingerprint": "sha256:d083420789e060672e601aef30a524d487c35893a4128b2158107e28f4790a5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002946", "prompt": "What value of x satisfies 10x = 6(x + 3) - 32?", "solution_steps": ["Expand: 10x = 6x + 18 - 32", "Combine constants: 10x = 6x - 14", "Subtract 6x from both sides: 4x = -14", "Divide both sides by 4: x = -7/2"], "final_answer": "-7/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 6(x + 3) - 32", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 3, \"d\": 32}", "seed": "3641349390931351856", "semantic_fingerprint": "sha256:e56891aa75c50585748acb7d50150832f1b569020a53c794dbed94e66b40a9b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002947", "prompt": "What value of x satisfies 6x = 9(x + 50) - 456?", "solution_steps": ["Expand: 6x = 9x + 450 - 456", "Combine constants: 6x = 9x - 6", "Subtract 9x from both sides: -3x = -6", "Divide both sides by -3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 9(x + 50) - 456", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 50, \"e\": -456, \"x\": 2}", "seed": "9456539952318291116", "semantic_fingerprint": "sha256:cf449d7dc6f9db523740a45e1ed873c0982302c5343856d765fecf01eaa6e577", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002948", "prompt": "Find x: 4(x + 339) + 83 = x + 947", "solution_steps": ["Expand: 4x + 1356 + 83 = x + 947", "Combine constants: 4x + 1439 = x + 947", "Subtract x from both sides: 3x + 1439 = 947", "Subtract 1439 from both sides: 3x = -492", "Divide both sides by 3: x = -164"], "final_answer": "-164", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 339) + 83 = x + 947", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 339, \"c\": 83, \"d\": 947}", "seed": "12686987737765060642", "semantic_fingerprint": "sha256:f0b63b52b53727e4726063f5c97013250059971d8e6bee789e50a9f8bfb8af44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002949", "prompt": "Solve for x: -2x - 58 = -7(x - 6)", "solution_steps": ["Expand: -2x - 58 = -7x + 42", "Add 7x to both sides: 5x - 58 = 42", "Add 58 to both sides: 5x = 100", "Divide both sides by 5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 58 = -7(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -7, \"c\": 6, \"e\": -58, \"x\": 20}", "seed": "10738309478226745115", "semantic_fingerprint": "sha256:3a5c882ffb5d713aba3d86a30f9195a8317e61adca11acd63f6694f1e6ad8db4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002950", "prompt": "Compute: -47 / (9 + 336 - 4) * 19", "solution_steps": ["Add: 9 + 336 = 345", "Subtract: 345 - 4 = 341", "Divide: -47 / 341 = -47/341", "Multiply: (-47/341) * 19 = -893/341"], "final_answer": "-893/341", "answer_type": "rational", "kind": "expression", "math_text": "-47 / (9 + 336 - 4) * 19", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 9, \"c\": 336, \"d\": 4, \"e\": 19}", "seed": "4600142961175675309", "semantic_fingerprint": "sha256:21441bbb9dc899b46c0e29c634ae322a0bf252644bf3573bb26f5f1cfc7ffa70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002951", "prompt": "What is 26 * (-58) + 904 * 16?", "solution_steps": ["Multiply: 26 * (-58) = -1508", "Multiply: 904 * 16 = 14464", "Add: -1508 + 14464 = 12956"], "final_answer": "12956", "answer_type": "integer", "kind": "expression", "math_text": "26 * (-58) + 904 * 16", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -58, \"c\": 904, \"d\": 16}", "seed": "10296902590202708267", "semantic_fingerprint": "sha256:90cce047c094d31f47d48e7854452aa95ffc67fec75b1e29f40b1b766b083313", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002952", "prompt": "Calculate: 45 - (-9) - 6 / 2 * 53", "solution_steps": ["Subtract: 45 - (-9) = 54", "Divide: 6 / 2 = 3", "Multiply: 3 * 53 = 159", "Subtract: 54 - 159 = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "expression", "math_text": "45 - (-9) - 6 / 2 * 53", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -9, \"c\": 6, \"d\": 2, \"e\": 53}", "seed": "17664240787380686144", "semantic_fingerprint": "sha256:91c6b18ab78cdfdec224ec774e9193c50b0dc61ca3b1728ae08a3fc2d83c8922", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002953", "prompt": "Compute: (-565 + 22) / (-9 - 3 + 4)", "solution_steps": ["Add: -565 + 22 = -543", "Subtract: -9 - 3 = -12", "Add: -12 + 4 = -8", "Divide: -543 / (-8) = 543/8"], "final_answer": "543/8", "answer_type": "rational", "kind": "expression", "math_text": "(-565 + 22) / (-9 - 3 + 4)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -565, \"b\": 22, \"c\": -9, \"d\": 3, \"e\": 4}", "seed": "13631736636682925658", "semantic_fingerprint": "sha256:d8e0302f53fdb23fdc7b754e3c0f598e4512ba6a38860d366edbe45236954a82", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002954", "prompt": "What is (3 + 2) * (-7) - (-132 - 744)?", "solution_steps": ["Add: 3 + 2 = 5", "Multiply: 5 * (-7) = -35", "Subtract: -132 - 744 = -876", "Subtract: -35 - (-876) = 841"], "final_answer": "841", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 2) * (-7) - (-132 - 744)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": -7, \"d\": -132, \"e\": 744}", "seed": "1484885847724507028", "semantic_fingerprint": "sha256:2ad830e1576926c122602c0e5546dc80e7485c0b6b88780ef118073f582c2367", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002955", "prompt": "Solve for x: 3(x - 9) + 11 = 10(x + 4)", "solution_steps": ["Expand: 3x - 27 + 11 = 10(x + 4)", "Expand: 3x - 27 + 11 = 10x + 40", "Combine constants: 3x - 16 = 10x + 40", "Subtract 10x from both sides: -7x - 16 = 40", "Add 16 to both sides: -7x = 56", "Divide both sides by -7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 9) + 11 = 10(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 10, \"d\": 4, \"f\": 11, \"x\": -8}", "seed": "5334194441117522010", "semantic_fingerprint": "sha256:44c4f8a355797bd30d1aa94d3ce040cfa191886e674b412f85ed2f1abdcbe3ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002956", "prompt": "Solve for x: 7(x - 38) + 394 = -12(x + 2)", "solution_steps": ["Expand: 7x - 266 + 394 = -12(x + 2)", "Expand: 7x - 266 + 394 = -12x - 24", "Combine constants: 7x + 128 = -12x - 24", "Add 12x to both sides: 19x + 128 = -24", "Subtract 128 from both sides: 19x = -152", "Divide both sides by 19: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 38) + 394 = -12(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 38, \"c\": -12, \"d\": 2, \"f\": 394, \"x\": -8}", "seed": "13880060000283227855", "semantic_fingerprint": "sha256:7bdc1062147756e050ee90a92028c57706e7be8a352493c584fac29f63a03171", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002957", "prompt": "Calculate: 35 * (-32) + 42 * (-9)", "solution_steps": ["Multiply: 35 * (-32) = -1120", "Multiply: 42 * (-9) = -378", "Add: -1120 + (-378) = -1498"], "final_answer": "-1498", "answer_type": "integer", "kind": "expression", "math_text": "35 * (-32) + 42 * (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -32, \"c\": 42, \"d\": -9}", "seed": "17115095630579000087", "semantic_fingerprint": "sha256:75abfa70314d7bfdeefcc859754edef2809b66e21635d22d713b09eb99495217", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002958", "prompt": "Solve the equation -6x = 7(x + 89) - 539 for x.", "solution_steps": ["Expand: -6x = 7x + 623 - 539", "Combine constants: -6x = 7x + 84", "Subtract 7x from both sides: -13x = 84", "Divide both sides by -13: x = -84/13"], "final_answer": "-84/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x = 7(x + 89) - 539", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 89, \"d\": 539}", "seed": "15150449888366679214", "semantic_fingerprint": "sha256:272accf4f7f8a66cf4e2f4e039d52b80d21660add183583672e661fb0a6a4cdb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002959", "prompt": "Find x: 9x = 5(x + 401) - 6", "solution_steps": ["Expand: 9x = 5x + 2005 - 6", "Combine constants: 9x = 5x + 1999", "Subtract 5x from both sides: 4x = 1999", "Divide both sides by 4: x = 1999/4"], "final_answer": "1999/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 5(x + 401) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 401, \"d\": 6}", "seed": "10013269608643362617", "semantic_fingerprint": "sha256:311ea2956571738e06bc87a6f6971e7a24a7972ff3fe1f0a26a8a31ae496d655", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002960", "prompt": "Evaluate: 100 - (-143 - 570) / (74 + 81) * 8", "solution_steps": ["Subtract: -143 - 570 = -713", "Add: 74 + 81 = 155", "Divide: -713 / 155 = -23/5", "Multiply: (-23/5) * 8 = -184/5", "Subtract: 100 - (-184/5) = 684/5"], "final_answer": "684/5", "answer_type": "rational", "kind": "expression", "math_text": "100 - (-143 - 570) / (74 + 81) * 8", "variable": null, "family": "expression_5op", "shape": "(- n (* (/ (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 100, \"b\": -143, \"c\": 570, \"d\": 74, \"e\": 81, \"f\": 8}", "seed": "3525495791014777625", "semantic_fingerprint": "sha256:48b66569e98d138f13fb61b22229f4963431f051895ec42c6e72edcfbe693746", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002961", "prompt": "Compute: 88 - 47 + (18 / (-95) + 5 * 93)", "solution_steps": ["Subtract: 88 - 47 = 41", "Divide: 18 / (-95) = -18/95", "Multiply: 5 * 93 = 465", "Add: -18/95 + 465 = 44157/95", "Add: 41 + 44157/95 = 48052/95"], "final_answer": "48052/95", "answer_type": "rational", "kind": "expression", "math_text": "88 - 47 + (18 / (-95) + 5 * 93)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 47, \"c\": 18, \"d\": -95, \"e\": 5, \"f\": 93}", "seed": "460613388131812570", "semantic_fingerprint": "sha256:d012d397108732c9afae007b621027bc03ce4df87b796f4b0ba30f96b06783bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002962", "prompt": "Evaluate: -7 * 94 / 1 * 77 * 0", "solution_steps": ["Multiply: -7 * 94 = -658", "Divide: -658 / 1 = -658", "Multiply: -658 * 77 = -50666", "Multiply: -50666 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 94 / 1 * 77 * 0", "variable": null, "family": "expression_4op", "shape": "(* (* (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 94, \"c\": 1, \"d\": 77, \"e\": 0}", "seed": "13685028721621851496", "semantic_fingerprint": "sha256:c319a6f299b0c888539b0f6e46fb564c8ac624d2c4c371b6964dca48b7a945b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002963", "prompt": "What is (38 - (-6 + (-74))) * (-1)?", "solution_steps": ["Add: -6 + (-74) = -80", "Subtract: 38 - (-80) = 118", "Multiply: 118 * (-1) = -118"], "final_answer": "-118", "answer_type": "integer", "kind": "expression", "math_text": "(38 - (-6 + (-74))) * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -6, \"c\": -74, \"d\": -1}", "seed": "17701587181778402356", "semantic_fingerprint": "sha256:c40062ac224f10f3d43d22dd69e71d46486a911c31e01b6d16e7c1714a6727fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002964", "prompt": "Calculate: -7 - 91 / (-9) + 5 - 3", "solution_steps": ["Divide: 91 / (-9) = -91/9", "Subtract: -7 - (-91/9) = 28/9", "Add: 28/9 + 5 = 73/9", "Subtract: 73/9 - 3 = 46/9"], "final_answer": "46/9", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 91 / (-9) + 5 - 3", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 91, \"c\": -9, \"d\": 5, \"e\": 3}", "seed": "17688420822843965255", "semantic_fingerprint": "sha256:0e1179137f8bc6c64c555006f9c34322500af85cc6a68aa6e56c844041f36d26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002965", "prompt": "What is (-14 + (2 - (-8))) * (-2 - (-29))?", "solution_steps": ["Subtract: 2 - (-8) = 10", "Add: -14 + 10 = -4", "Subtract: -2 - (-29) = 27", "Multiply: -4 * 27 = -108"], "final_answer": "-108", "answer_type": "integer", "kind": "expression", "math_text": "(-14 + (2 - (-8))) * (-2 - (-29))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 2, \"c\": -8, \"d\": -2, \"e\": -29}", "seed": "6020363644277315540", "semantic_fingerprint": "sha256:893f7ac34caaf99fff678db18b4c343a3174268cb94fbe678126423f6e043fb0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002966", "prompt": "What value of x satisfies -11x - 793 = 2x - 598?", "solution_steps": ["Subtract 2x from both sides: -13x - 793 = -598", "Add 793 to both sides: -13x = 195", "Divide both sides by -13: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 793 = 2x - 598", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 793, \"c\": 2, \"e\": -598, \"x\": -15}", "seed": "9169036966633638741", "semantic_fingerprint": "sha256:380cb446c058d6b86b0cf16d0b7913242dba324f1eecd45ba5daf87a93f9b084", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002967", "prompt": "Evaluate: 78 * (-29) * (411 / (1 - 0))", "solution_steps": ["Multiply: 78 * (-29) = -2262", "Subtract: 1 - 0 = 1", "Divide: 411 / 1 = 411", "Multiply: -2262 * 411 = -929682"], "final_answer": "-929682", "answer_type": "integer", "kind": "expression", "math_text": "78 * (-29) * (411 / (1 - 0))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -29, \"c\": 411, \"d\": 1, \"e\": 0}", "seed": "10786101890789820696", "semantic_fingerprint": "sha256:630b76b1139fcc27c789ffd5938683601006666bd201c5510b960b5d9d7d0065", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002968", "prompt": "Calculate: 57 * (-9) + (12 - (-5))", "solution_steps": ["Multiply: 57 * (-9) = -513", "Subtract: 12 - (-5) = 17", "Add: -513 + 17 = -496"], "final_answer": "-496", "answer_type": "integer", "kind": "expression", "math_text": "57 * (-9) + (12 - (-5))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -9, \"c\": 12, \"d\": -5}", "seed": "5942762588524237200", "semantic_fingerprint": "sha256:2a116125a27fc79e80e84c0cd2b09c2edd4b7e4e548fa2464df55979229bfb49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002969", "prompt": "Solve the equation 8x - 731 = 4x - 763 for x.", "solution_steps": ["Subtract 4x from both sides: 4x - 731 = -763", "Add 731 to both sides: 4x = -32", "Divide both sides by 4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 731 = 4x - 763", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 731, \"c\": 4, \"e\": -763, \"x\": -8}", "seed": "11442380814693875827", "semantic_fingerprint": "sha256:62fd7d1d34049626850fe09f995e68cfe4b89e69c0f2ef728d6f57b76af05851", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002970", "prompt": "Compute: -958 / (-9 / 1) / (-6 - (-35))", "solution_steps": ["Divide: -9 / 1 = -9", "Divide: -958 / (-9) = 958/9", "Subtract: -6 - (-35) = 29", "Divide: (958/9) / 29 = 958/261"], "final_answer": "958/261", "answer_type": "rational", "kind": "expression", "math_text": "-958 / (-9 / 1) / (-6 - (-35))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -958, \"b\": -9, \"c\": 1, \"d\": -6, \"e\": -35}", "seed": "9331184727747223657", "semantic_fingerprint": "sha256:2ae066d2861fe01851b353e456d8cdf3c2a56ea885d8823551bfedc1b7dd67f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002971", "prompt": "Compute: -6 * (-452 + 20 * (-45))", "solution_steps": ["Multiply: 20 * (-45) = -900", "Add: -452 + (-900) = -1352", "Multiply: -6 * (-1352) = 8112"], "final_answer": "8112", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-452 + 20 * (-45))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -452, \"c\": 20, \"d\": -45}", "seed": "16155013575595807236", "semantic_fingerprint": "sha256:267d1441d12b26627227001a436c97dd07e3e14e75d3fbfb60e9d1fdebc63840", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002972", "prompt": "What value of x satisfies 8x - 18 = -8x - 34?", "solution_steps": ["Add 8x to both sides: 16x - 18 = -34", "Add 18 to both sides: 16x = -16", "Divide both sides by 16: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 18 = -8x - 34", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 18, \"c\": -8, \"e\": -34, \"x\": -1}", "seed": "11068027366462691397", "semantic_fingerprint": "sha256:0ad4fc18e9dda9de9350f3f101e01712b70eddf2bf2d951ddc421b8aee0b92f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002973", "prompt": "Solve the equation -11(x - 3) + 91 = 11(x + 5) for x.", "solution_steps": ["Expand: -11x + 33 + 91 = 11(x + 5)", "Expand: -11x + 33 + 91 = 11x + 55", "Combine constants: -11x + 124 = 11x + 55", "Subtract 11x from both sides: -22x + 124 = 55", "Subtract 124 from both sides: -22x = -69", "Divide both sides by -22: x = 69/22"], "final_answer": "69/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 3) + 91 = 11(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3, \"c\": 91, \"d\": 11, \"e\": 5}", "seed": "14399498886993233564", "semantic_fingerprint": "sha256:bf72eae2052fa35a3aff20e5ca6b906e375084c5943e4d5e78901191671934e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002974", "prompt": "Solve for x: 9x = 10(x + 45) - 449", "solution_steps": ["Expand: 9x = 10x + 450 - 449", "Combine constants: 9x = 10x + 1", "Subtract 10x from both sides: -x = 1", "Divide both sides by -1: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 10(x + 45) - 449", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 45, \"e\": -449, \"x\": -1}", "seed": "176473871789681", "semantic_fingerprint": "sha256:10fe407c188e1f571285b775d7a2ed3f18c4023fefcd32a58218dfc5d99a7714", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002975", "prompt": "What is 6 + (-37 - (-890)) + 16?", "solution_steps": ["Subtract: -37 - (-890) = 853", "Add: 6 + 853 = 859", "Add: 859 + 16 = 875"], "final_answer": "875", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-37 - (-890)) + 16", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -37, \"c\": -890, \"d\": 16}", "seed": "8450302604952347454", "semantic_fingerprint": "sha256:d1b78bf31f3baf7cb5020ff960fd0144f7778f988752db4b1f686b6e81ee98d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002976", "prompt": "Evaluate: -8 / (-85) * (-32 / (-13))", "solution_steps": ["Divide: -8 / (-85) = 8/85", "Divide: -32 / (-13) = 32/13", "Multiply: (8/85) * (32/13) = 256/1105"], "final_answer": "256/1105", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-85) * (-32 / (-13))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -85, \"c\": -32, \"d\": -13}", "seed": "364336646731635798", "semantic_fingerprint": "sha256:f1f0124240a55a09c613270c7a1d727f3337376c7d1536f0943c4522d9628fe4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002977", "prompt": "Compute: (675 - 676 - 37) * 326", "solution_steps": ["Subtract: 675 - 676 = -1", "Subtract: -1 - 37 = -38", "Multiply: -38 * 326 = -12388"], "final_answer": "-12388", "answer_type": "integer", "kind": "expression", "math_text": "(675 - 676 - 37) * 326", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 675, \"b\": 676, \"c\": 37, \"d\": 326}", "seed": "10888409179954528032", "semantic_fingerprint": "sha256:954cb0310b9e69025c37326785438e69f4e4e89dea65c63cb738a7806ac85cb9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002978", "prompt": "Solve for x: 6x = 9(x + 68) - 552", "solution_steps": ["Expand: 6x = 9x + 612 - 552", "Combine constants: 6x = 9x + 60", "Subtract 9x from both sides: -3x = 60", "Divide both sides by -3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 9(x + 68) - 552", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 68, \"e\": -552, \"x\": -20}", "seed": "3196749175650801686", "semantic_fingerprint": "sha256:6e19c46510f7cf806975e77c6029ae08f8f8590dcd669994f1628b0fb51ff56d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002979", "prompt": "Calculate: 1 / (-1) - 49 * (3 + 14)", "solution_steps": ["Divide: 1 / (-1) = -1", "Add: 3 + 14 = 17", "Multiply: 49 * 17 = 833", "Subtract: -1 - 833 = -834"], "final_answer": "-834", "answer_type": "integer", "kind": "expression", "math_text": "1 / (-1) - 49 * (3 + 14)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -1, \"c\": 49, \"d\": 3, \"e\": 14}", "seed": "14585044008030346409", "semantic_fingerprint": "sha256:60f03c96764fa6db4dee180150fbbf37d89528373a99ffc3a855a2a0e19ade62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002980", "prompt": "Find x: 12x = 7(x + 20) - 1", "solution_steps": ["Expand: 12x = 7x + 140 - 1", "Combine constants: 12x = 7x + 139", "Subtract 7x from both sides: 5x = 139", "Divide both sides by 5: x = 139/5"], "final_answer": "139/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 7(x + 20) - 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 20, \"d\": 1}", "seed": "207310764676783777", "semantic_fingerprint": "sha256:00bb13bb03d00d30d0423d0605dc3c6ee9b4cc1dedc04a9af1b0199f795540ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002981", "prompt": "What is 32 + (-120) + (-38) - (25 + (-73))?", "solution_steps": ["Add: 32 + (-120) = -88", "Add: -88 + (-38) = -126", "Add: 25 + (-73) = -48", "Subtract: -126 - (-48) = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "expression", "math_text": "32 + (-120) + (-38) - (25 + (-73))", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -120, \"c\": -38, \"d\": 25, \"e\": -73}", "seed": "5624127460746427230", "semantic_fingerprint": "sha256:ccdb096be5c39d0ee17089aa710445c5aaccf475045372984b7d8e1d0fc9007d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002982", "prompt": "What is (4 + (-8)) / (-7 + (-528))?", "solution_steps": ["Add: 4 + (-8) = -4", "Add: -7 + (-528) = -535", "Divide: -4 / (-535) = 4/535"], "final_answer": "4/535", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-8)) / (-7 + (-528))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -8, \"c\": -7, \"d\": -528}", "seed": "11595813630986864922", "semantic_fingerprint": "sha256:4872195a5c9ee77f5f1552706b7ee27bc71770de78c75d3a45347f8f37a739fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002983", "prompt": "What is 62 + (-19 - (677 + 73) - 24)?", "solution_steps": ["Add: 677 + 73 = 750", "Subtract: -19 - 750 = -769", "Subtract: -769 - 24 = -793", "Add: 62 + (-793) = -731"], "final_answer": "-731", "answer_type": "integer", "kind": "expression", "math_text": "62 + (-19 - (677 + 73) - 24)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -19, \"c\": 677, \"d\": 73, \"e\": 24}", "seed": "4095183040696110544", "semantic_fingerprint": "sha256:8720e627fcecc58d0538c140f6caf4840f8882a0503fd1777510ed1990b09597", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002984", "prompt": "Evaluate: (55 + 79) / (-86 + (-930))", "solution_steps": ["Add: 55 + 79 = 134", "Add: -86 + (-930) = -1016", "Divide: 134 / (-1016) = -67/508"], "final_answer": "-67/508", "answer_type": "rational", "kind": "expression", "math_text": "(55 + 79) / (-86 + (-930))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 79, \"c\": -86, \"d\": -930}", "seed": "1614642540629110962", "semantic_fingerprint": "sha256:2cbb761044c0d043b56330ce948bf6ff2a858684109b951fb6c8be908d9ede74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002985", "prompt": "Calculate: (-7 - 4) * 24 * (-994 / (48 * 4))", "solution_steps": ["Subtract: -7 - 4 = -11", "Multiply: -11 * 24 = -264", "Multiply: 48 * 4 = 192", "Divide: -994 / 192 = -497/96", "Multiply: -264 * (-497/96) = 5467/4"], "final_answer": "5467/4", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 4) * 24 * (-994 / (48 * 4))", "variable": null, "family": "expression_5op", "shape": "(* (* (- n n) n) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 24, \"d\": -994, \"e\": 48, \"f\": 4}", "seed": "5250023741056085198", "semantic_fingerprint": "sha256:35ea0924323efa1373cab33ca6422c996df51cca3664a2abb18c27a3eb13a981", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002986", "prompt": "Evaluate: 10 / (-679 * 1 + (-26)) * (-8)", "solution_steps": ["Multiply: -679 * 1 = -679", "Add: -679 + (-26) = -705", "Divide: 10 / (-705) = -2/141", "Multiply: (-2/141) * (-8) = 16/141"], "final_answer": "16/141", "answer_type": "rational", "kind": "expression", "math_text": "10 / (-679 * 1 + (-26)) * (-8)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -679, \"c\": 1, \"d\": -26, \"e\": -8}", "seed": "457286374253794125", "semantic_fingerprint": "sha256:c61cc5fa8bbdad57b4b14fba915327d5036ca91185bb7f306b1f8a29c2590dc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002987", "prompt": "Evaluate: -6 / (634 / (-665)) * (-35 / (-4))", "solution_steps": ["Divide: 634 / (-665) = -634/665", "Divide: -6 / (-634/665) = 1995/317", "Divide: -35 / (-4) = 35/4", "Multiply: (1995/317) * (35/4) = 69825/1268"], "final_answer": "69825/1268", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (634 / (-665)) * (-35 / (-4))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 634, \"c\": -665, \"d\": -35, \"e\": -4}", "seed": "2501574737042421338", "semantic_fingerprint": "sha256:8af2dae5a1d69821e2e0899dd816097a6d30745131bf566aedfdce472017f2cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002988", "prompt": "Evaluate: (7 - (7 + 1)) / (-72) + (-69)", "solution_steps": ["Add: 7 + 1 = 8", "Subtract: 7 - 8 = -1", "Divide: -1 / (-72) = 1/72", "Add: 1/72 + (-69) = -4967/72"], "final_answer": "-4967/72", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (7 + 1)) / (-72) + (-69)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 1, \"d\": -72, \"e\": -69}", "seed": "343509629220740595", "semantic_fingerprint": "sha256:f80545a790536190fe3d9a246504d701a9e9f45974c95537a33f3b3a141f7810", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002989", "prompt": "Compute: -4 * (41 * 390) + 68", "solution_steps": ["Multiply: 41 * 390 = 15990", "Multiply: -4 * 15990 = -63960", "Add: -63960 + 68 = -63892"], "final_answer": "-63892", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (41 * 390) + 68", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 41, \"c\": 390, \"d\": 68}", "seed": "576242536649309353", "semantic_fingerprint": "sha256:f35496f4792ccb650ffc4aa1f163993f59173e15cba86956898e0b2ae17e1346", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002990", "prompt": "Solve the equation 11(x + 49) = -6(x - 60) + 366 for x.", "solution_steps": ["Expand: 11x + 539 = -6(x - 60) + 366", "Expand: 11x + 539 = -6x + 360 + 366", "Combine constants: 11x + 539 = -6x + 726", "Add 6x to both sides: 17x + 539 = 726", "Subtract 539 from both sides: 17x = 187", "Divide both sides by 17: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 49) = -6(x - 60) + 366", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 49, \"c\": -6, \"d\": 60, \"f\": 366, \"x\": 11}", "seed": "11820281737898184205", "semantic_fingerprint": "sha256:200dd98b76f0fbda95f125d1b290192a336b397270779022102309a35283163d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002991", "prompt": "What is 23 * 19 + (-43 - 45)?", "solution_steps": ["Multiply: 23 * 19 = 437", "Subtract: -43 - 45 = -88", "Add: 437 + (-88) = 349"], "final_answer": "349", "answer_type": "integer", "kind": "expression", "math_text": "23 * 19 + (-43 - 45)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 19, \"c\": -43, \"d\": 45}", "seed": "9361696983508863336", "semantic_fingerprint": "sha256:9c061f89d5fe30b5f637789d06249b471099d07ec565fd6890f4e60ac131501a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002992", "prompt": "Calculate: 2 + 0 / 586 + (84 * 5 + 1)", "solution_steps": ["Divide: 0 / 586 = 0", "Add: 2 + 0 = 2", "Multiply: 84 * 5 = 420", "Add: 420 + 1 = 421", "Add: 2 + 421 = 423"], "final_answer": "423", "answer_type": "integer", "kind": "expression", "math_text": "2 + 0 / 586 + (84 * 5 + 1)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": 586, \"d\": 84, \"e\": 5, \"f\": 1}", "seed": "10552824360775560965", "semantic_fingerprint": "sha256:6ebe3e4cc804f2cbc01d41b2264ab338c70fcaf4d4aed2cb9ebc77a55fe019b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002993", "prompt": "Calculate: 98 / (5 / (-3)) * (616 - 0)", "solution_steps": ["Divide: 5 / (-3) = -5/3", "Divide: 98 / (-5/3) = -294/5", "Subtract: 616 - 0 = 616", "Multiply: (-294/5) * 616 = -181104/5"], "final_answer": "-181104/5", "answer_type": "rational", "kind": "expression", "math_text": "98 / (5 / (-3)) * (616 - 0)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 5, \"c\": -3, \"d\": 616, \"e\": 0}", "seed": "8570764819765949574", "semantic_fingerprint": "sha256:0f922de6dba95eeca60f5cada4f56f97cac1b51d6b51d2c2f1dd0032e6095c18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002994", "prompt": "Evaluate: 9 / (-62 + (-27)) / (-132 - 30)", "solution_steps": ["Add: -62 + (-27) = -89", "Divide: 9 / (-89) = -9/89", "Subtract: -132 - 30 = -162", "Divide: (-9/89) / (-162) = 1/1602"], "final_answer": "1/1602", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-62 + (-27)) / (-132 - 30)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -62, \"c\": -27, \"d\": -132, \"e\": 30}", "seed": "8691542298189708647", "semantic_fingerprint": "sha256:1825c61c50bace74af3d4e7c17987274af74a324451c3f592c0beb68d531fe51", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002995", "prompt": "Solve the equation -5x - 452 = 9x - 704 for x.", "solution_steps": ["Subtract 9x from both sides: -14x - 452 = -704", "Add 452 to both sides: -14x = -252", "Divide both sides by -14: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 452 = 9x - 704", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 452, \"c\": 9, \"e\": -704, \"x\": 18}", "seed": "9165205880961929091", "semantic_fingerprint": "sha256:1e0163e8e08c1fc0257e60ef1caffefdf18c230abe11852f4f5db34e76a4dd6e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002996", "prompt": "Compute: (-2 - (273 + (-10))) * (-6)", "solution_steps": ["Add: 273 + (-10) = 263", "Subtract: -2 - 263 = -265", "Multiply: -265 * (-6) = 1590"], "final_answer": "1590", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (273 + (-10))) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 273, \"c\": -10, \"d\": -6}", "seed": "11855708035351557885", "semantic_fingerprint": "sha256:950fc9123d977d67d7f8f83701c1f390c0cc21d394d14c577ed79913652b257e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002997", "prompt": "What is 1 + (-713 + (-68 / 57 - (-83)) + (-338))?", "solution_steps": ["Divide: -68 / 57 = -68/57", "Subtract: -68/57 - (-83) = 4663/57", "Add: -713 + 4663/57 = -35978/57", "Add: -35978/57 + (-338) = -55244/57", "Add: 1 + (-55244/57) = -55187/57"], "final_answer": "-55187/57", "answer_type": "rational", "kind": "expression", "math_text": "1 + (-713 + (-68 / 57 - (-83)) + (-338))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ n (- (/ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -713, \"c\": -68, \"d\": 57, \"e\": -83, \"f\": -338}", "seed": "11170239172670847143", "semantic_fingerprint": "sha256:b75d3de25e07b920c8c5bd199318f26ee563bcb56a78cb56fa64d5cb58ef998f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002998", "prompt": "Calculate: 3 - 16 * 350 * 0 - 46", "solution_steps": ["Multiply: 16 * 350 = 5600", "Multiply: 5600 * 0 = 0", "Subtract: 3 - 0 = 3", "Subtract: 3 - 46 = -43"], "final_answer": "-43", "answer_type": "integer", "kind": "expression", "math_text": "3 - 16 * 350 * 0 - 46", "variable": null, "family": "expression_4op", "shape": "(- (- n (* (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 16, \"c\": 350, \"d\": 0, \"e\": 46}", "seed": "14767644448445453522", "semantic_fingerprint": "sha256:33d21153f5f5d3c2d1ecd63d4ed8679a93bb797782df1fdccee1faa481e8211e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00002999", "prompt": "Find x: 2(x - 9) + 157 = 3(x + 48)", "solution_steps": ["Expand: 2x - 18 + 157 = 3(x + 48)", "Expand: 2x - 18 + 157 = 3x + 144", "Combine constants: 2x + 139 = 3x + 144", "Subtract 3x from both sides: -x + 139 = 144", "Subtract 139 from both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) + 157 = 3(x + 48)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 3, \"d\": 48, \"f\": 157, \"x\": -5}", "seed": "8682366621008963891", "semantic_fingerprint": "sha256:79c1dc2322d7ae7dfff6dc41b95e5193d15b6f52072b9397bd507de2eddaa787", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003000", "prompt": "Calculate: -53 * (-646) + (71 - 54)", "solution_steps": ["Multiply: -53 * (-646) = 34238", "Subtract: 71 - 54 = 17", "Add: 34238 + 17 = 34255"], "final_answer": "34255", "answer_type": "integer", "kind": "expression", "math_text": "-53 * (-646) + (71 - 54)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -646, \"c\": 71, \"d\": 54}", "seed": "5837648530260733380", "semantic_fingerprint": "sha256:c0953261dd8d4ed8cfc7a6544e92f9df18fb6fc1c1934eb9e1d741dd7f5e0496", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003001", "prompt": "What is 23 + (923 + (-671) - 8 * 9)?", "solution_steps": ["Add: 923 + (-671) = 252", "Multiply: 8 * 9 = 72", "Subtract: 252 - 72 = 180", "Add: 23 + 180 = 203"], "final_answer": "203", "answer_type": "integer", "kind": "expression", "math_text": "23 + (923 + (-671) - 8 * 9)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 923, \"c\": -671, \"d\": 8, \"e\": 9}", "seed": "7775977437330587654", "semantic_fingerprint": "sha256:ee4542f9fbb7236f30a9339d7371f5a0262bf4075e63e1a968d0dea7e5e64867", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003002", "prompt": "Evaluate: -795 - (-416 - (-30)) - (3 + 18)", "solution_steps": ["Subtract: -416 - (-30) = -386", "Subtract: -795 - (-386) = -409", "Add: 3 + 18 = 21", "Subtract: -409 - 21 = -430"], "final_answer": "-430", "answer_type": "integer", "kind": "expression", "math_text": "-795 - (-416 - (-30)) - (3 + 18)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -795, \"b\": -416, \"c\": -30, \"d\": 3, \"e\": 18}", "seed": "16553099251685336102", "semantic_fingerprint": "sha256:17396be057a1831648d7d0dfb95797d453cbd577a7380d639a4ec9fe5be43dda", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003003", "prompt": "Find x: 7(x + 36) - 62 = x + 7", "solution_steps": ["Expand: 7x + 252 - 62 = x + 7", "Combine constants: 7x + 190 = x + 7", "Subtract x from both sides: 6x + 190 = 7", "Subtract 190 from both sides: 6x = -183", "Divide both sides by 6: x = -61/2"], "final_answer": "-61/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 36) - 62 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 36, \"c\": 62, \"d\": 7}", "seed": "12235626356782115635", "semantic_fingerprint": "sha256:87bba09ed8f2cc943e36ea1ceda1e673b62f24e7261d53a1082bef7bff819914", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003004", "prompt": "Evaluate: 9 / (-83 + 81) / (-87 - (-6))", "solution_steps": ["Add: -83 + 81 = -2", "Divide: 9 / (-2) = -9/2", "Subtract: -87 - (-6) = -81", "Divide: (-9/2) / (-81) = 1/18"], "final_answer": "1/18", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-83 + 81) / (-87 - (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -83, \"c\": 81, \"d\": -87, \"e\": -6}", "seed": "6886896608815972122", "semantic_fingerprint": "sha256:fc3511f1bf43b5eb7bd2931aad7c744294ed094d1ffc81687fa4f6f9d5e9686f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003005", "prompt": "What is (-9 - 77 - (-609)) * 9?", "solution_steps": ["Subtract: -9 - 77 = -86", "Subtract: -86 - (-609) = 523", "Multiply: 523 * 9 = 4707"], "final_answer": "4707", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 77 - (-609)) * 9", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 77, \"c\": -609, \"d\": 9}", "seed": "699454579392978636", "semantic_fingerprint": "sha256:0e0fba25481777da34d0bd611772bddde3203476e452159ee72db96e50bf5471", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003006", "prompt": "Calculate: 236 * (-60) + (-70) + (453 * (-89) - 0)", "solution_steps": ["Multiply: 236 * (-60) = -14160", "Add: -14160 + (-70) = -14230", "Multiply: 453 * (-89) = -40317", "Subtract: -40317 - 0 = -40317", "Add: -14230 + (-40317) = -54547"], "final_answer": "-54547", "answer_type": "integer", "kind": "expression", "math_text": "236 * (-60) + (-70) + (453 * (-89) - 0)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 236, \"b\": -60, \"c\": -70, \"d\": 453, \"e\": -89, \"f\": 0}", "seed": "17702738028499633346", "semantic_fingerprint": "sha256:4217edbd06540653551538c0a61516743dd0d5ef0a694c6455338c6ffd67eeb7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003007", "prompt": "What value of x satisfies -2x - 18 = 2(x - 860)?", "solution_steps": ["Expand: -2x - 18 = 2x - 1720", "Subtract 2x from both sides: -4x - 18 = -1720", "Add 18 to both sides: -4x = -1702", "Divide both sides by -4: x = 851/2"], "final_answer": "851/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 18 = 2(x - 860)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 18, \"c\": 2, \"d\": 860}", "seed": "3070085596669555339", "semantic_fingerprint": "sha256:8384a94633084694384a5d8a7e71840701cdb92b1e263c42f2cd6b0d1938ff22", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003008", "prompt": "Compute: -282 / 86 - (453 - (-86)) - 3", "solution_steps": ["Divide: -282 / 86 = -141/43", "Subtract: 453 - (-86) = 539", "Subtract: -141/43 - 539 = -23318/43", "Subtract: -23318/43 - 3 = -23447/43"], "final_answer": "-23447/43", "answer_type": "rational", "kind": "expression", "math_text": "-282 / 86 - (453 - (-86)) - 3", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -282, \"b\": 86, \"c\": 453, \"d\": -86, \"e\": 3}", "seed": "1913921758696360459", "semantic_fingerprint": "sha256:c103dd099978fb4769d2f306036fe0e0002d0b9c015e863ab0f7f6bf4138dff0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003009", "prompt": "Find x: 9(x + 37) - 84 = x + 105", "solution_steps": ["Expand: 9x + 333 - 84 = x + 105", "Combine constants: 9x + 249 = x + 105", "Subtract x from both sides: 8x + 249 = 105", "Subtract 249 from both sides: 8x = -144", "Divide both sides by 8: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 37) - 84 = x + 105", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 37, \"c\": 84, \"e\": 105, \"x\": -18}", "seed": "16697142863208672958", "semantic_fingerprint": "sha256:e8b71d597af9da36facecca1f28ca2203b60c4f8e203d50384f2658cd20cdbda", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003010", "prompt": "What is -1 * (-78 * 121 - (-4 + 13)) * (-50)?", "solution_steps": ["Multiply: -78 * 121 = -9438", "Add: -4 + 13 = 9", "Subtract: -9438 - 9 = -9447", "Multiply: -1 * (-9447) = 9447", "Multiply: 9447 * (-50) = -472350"], "final_answer": "-472350", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-78 * 121 - (-4 + 13)) * (-50)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- (* n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -78, \"c\": 121, \"d\": -4, \"e\": 13, \"f\": -50}", "seed": "14336958950332622245", "semantic_fingerprint": "sha256:96da4f924164739f19b3830c89be24740e8d6462b334315b7416d9b454f0aa70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003011", "prompt": "What value of x satisfies 2x - 56 = 8(x - 7)?", "solution_steps": ["Expand: 2x - 56 = 8x - 56", "Subtract 8x from both sides: -6x - 56 = -56", "Add 56 to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 56 = 8(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 7, \"e\": -56, \"x\": 0}", "seed": "9489962408068256404", "semantic_fingerprint": "sha256:82090e53d5ff52e417193734167e6e049019d3ff4f6e9efea29338b4a7759db1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003012", "prompt": "What value of x satisfies 11x - 7 = 3x - 79?", "solution_steps": ["Subtract 3x from both sides: 8x - 7 = -79", "Add 7 to both sides: 8x = -72", "Divide both sides by 8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 7 = 3x - 79", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 3, \"e\": -79, \"x\": -9}", "seed": "13931450066866450173", "semantic_fingerprint": "sha256:afe957ad55e27d0186f5a64e58087a49ab5462239bd0cb9926c7e1abf7b57ad8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003013", "prompt": "Evaluate: 103 - 551 + (-90) - (-37 - (-86 + (-35)))", "solution_steps": ["Subtract: 103 - 551 = -448", "Add: -448 + (-90) = -538", "Add: -86 + (-35) = -121", "Subtract: -37 - (-121) = 84", "Subtract: -538 - 84 = -622"], "final_answer": "-622", "answer_type": "integer", "kind": "expression", "math_text": "103 - 551 + (-90) - (-37 - (-86 + (-35)))", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 103, \"b\": 551, \"c\": -90, \"d\": -37, \"e\": -86, \"f\": -35}", "seed": "11985809947962147034", "semantic_fingerprint": "sha256:ee9f83402f9e148d9bebe321e61c20683eae68f14f7dc9f1ba39797993f49e58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003014", "prompt": "What is -854 * 86 / (-588 / (-25 * (-54 + 42)))?", "solution_steps": ["Multiply: -854 * 86 = -73444", "Add: -54 + 42 = -12", "Multiply: -25 * (-12) = 300", "Divide: -588 / 300 = -49/25", "Divide: -73444 / (-49/25) = 262300/7"], "final_answer": "262300/7", "answer_type": "rational", "kind": "expression", "math_text": "-854 * 86 / (-588 / (-25 * (-54 + 42)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (/ n (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -854, \"b\": 86, \"c\": -588, \"d\": -25, \"e\": -54, \"f\": 42}", "seed": "4946315651327872583", "semantic_fingerprint": "sha256:9c1b821b31afc13cc9eb798dce69b110041cc539ac17c362f4fe6e0b0acddd81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003015", "prompt": "Calculate: -24 - 12 / (-27) - 7 / (-38)", "solution_steps": ["Divide: 12 / (-27) = -4/9", "Subtract: -24 - (-4/9) = -212/9", "Divide: 7 / (-38) = -7/38", "Subtract: -212/9 - (-7/38) = -7993/342"], "final_answer": "-7993/342", "answer_type": "rational", "kind": "expression", "math_text": "-24 - 12 / (-27) - 7 / (-38)", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 12, \"c\": -27, \"d\": 7, \"e\": -38}", "seed": "3172931805676738574", "semantic_fingerprint": "sha256:539beee8c83c0921180bac6c5ce628c1b3214057c3b3d7690a8d892b89b7e761", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003016", "prompt": "What value of x satisfies -4(x + 3) + 47 = x + 100?", "solution_steps": ["Expand: -4x - 12 + 47 = x + 100", "Combine constants: -4x + 35 = x + 100", "Subtract x from both sides: -5x + 35 = 100", "Subtract 35 from both sides: -5x = 65", "Divide both sides by -5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 3) + 47 = x + 100", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 47, \"e\": 100, \"x\": -13}", "seed": "17094022963151698857", "semantic_fingerprint": "sha256:e1fffa2e1eca37c43fb313fa78e5200006c7335d09e14e48f03c3daf67a78e02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003017", "prompt": "Compute: (61 + (-82)) / (-224 + (-4))", "solution_steps": ["Add: 61 + (-82) = -21", "Add: -224 + (-4) = -228", "Divide: -21 / (-228) = 7/76"], "final_answer": "7/76", "answer_type": "rational", "kind": "expression", "math_text": "(61 + (-82)) / (-224 + (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -82, \"c\": -224, \"d\": -4}", "seed": "17768438291026755753", "semantic_fingerprint": "sha256:83a1387ad3e97536c6e5a87974a940cdb217c96a12ab56a9323e27e7b2f551c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003018", "prompt": "Find x: 4(x + 78) - 29 = x + 328", "solution_steps": ["Expand: 4x + 312 - 29 = x + 328", "Combine constants: 4x + 283 = x + 328", "Subtract x from both sides: 3x + 283 = 328", "Subtract 283 from both sides: 3x = 45", "Divide both sides by 3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 78) - 29 = x + 328", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 78, \"c\": 29, \"e\": 328, \"x\": 15}", "seed": "17720958910894993110", "semantic_fingerprint": "sha256:ba2cb14e4c262ac97ea915048711d6956c0179af31bde902c86315ac4250c607", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003019", "prompt": "Solve for x: 12(x - 683) - 4 = x + 48", "solution_steps": ["Expand: 12x - 8196 - 4 = x + 48", "Combine constants: 12x - 8200 = x + 48", "Subtract x from both sides: 11x - 8200 = 48", "Add 8200 to both sides: 11x = 8248", "Divide both sides by 11: x = 8248/11"], "final_answer": "8248/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 683) - 4 = x + 48", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 683, \"c\": 4, \"d\": 48}", "seed": "719498316672745052", "semantic_fingerprint": "sha256:d6ee80561a4423087c4dbf14d008d3317dc01c0a3fcd82dcdb767b5cac24b0e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003020", "prompt": "Calculate: (48 + 0) * (-722 / 542 / 24)", "solution_steps": ["Add: 48 + 0 = 48", "Divide: -722 / 542 = -361/271", "Divide: (-361/271) / 24 = -361/6504", "Multiply: 48 * (-361/6504) = -722/271"], "final_answer": "-722/271", "answer_type": "rational", "kind": "expression", "math_text": "(48 + 0) * (-722 / 542 / 24)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 0, \"c\": -722, \"d\": 542, \"e\": 24}", "seed": "17216194332873353713", "semantic_fingerprint": "sha256:a0dc9f481cbda74476418ab587ec5b0f79c578052203648ef26bcc09e19e119d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003021", "prompt": "Solve the equation -8x - 55 = 11x - 5 for x.", "solution_steps": ["Subtract 11x from both sides: -19x - 55 = -5", "Add 55 to both sides: -19x = 50", "Divide both sides by -19: x = -50/19"], "final_answer": "-50/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x - 55 = 11x - 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 55, \"c\": 11, \"d\": 5}", "seed": "10613217927261044443", "semantic_fingerprint": "sha256:9ba4c5cc7d602f2c8c733e81703ecba2136524890bbf7a1669c59fb90a5e0e98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003022", "prompt": "What is 0 * (-7 * (-65)) * 80?", "solution_steps": ["Multiply: -7 * (-65) = 455", "Multiply: 0 * 455 = 0", "Multiply: 0 * 80 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-7 * (-65)) * 80", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": -65, \"d\": 80}", "seed": "9334175358270488732", "semantic_fingerprint": "sha256:5670c92001c680fc6bde6bba98134d71023a03c390aa2233b7ecc8f6d45a91d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003023", "prompt": "Solve for x: 2x - 97 = 11x - 196", "solution_steps": ["Subtract 11x from both sides: -9x - 97 = -196", "Add 97 to both sides: -9x = -99", "Divide both sides by -9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 97 = 11x - 196", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 97, \"c\": 11, \"e\": -196, \"x\": 11}", "seed": "10789167792389758533", "semantic_fingerprint": "sha256:1378a0f93270a550cdd2651445e08c084e23a5613585415fa105e7e696faf5bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003024", "prompt": "Evaluate: 2 - (-9) - 984 * (62 + 121)", "solution_steps": ["Subtract: 2 - (-9) = 11", "Add: 62 + 121 = 183", "Multiply: 984 * 183 = 180072", "Subtract: 11 - 180072 = -180061"], "final_answer": "-180061", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-9) - 984 * (62 + 121)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -9, \"c\": 984, \"d\": 62, \"e\": 121}", "seed": "16815690442406850469", "semantic_fingerprint": "sha256:49bd7bedc1bb3f80346041ab381db62d6a89c1c2ce4371cafc741339c4d77f4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003025", "prompt": "Calculate: (-6 + (-30)) / (65 / 78 + (-60))", "solution_steps": ["Add: -6 + (-30) = -36", "Divide: 65 / 78 = 5/6", "Add: 5/6 + (-60) = -355/6", "Divide: -36 / (-355/6) = 216/355"], "final_answer": "216/355", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-30)) / (65 / 78 + (-60))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -30, \"c\": 65, \"d\": 78, \"e\": -60}", "seed": "12194958001316316854", "semantic_fingerprint": "sha256:5ea471be73d4d5f2ce64383fa1c7bf570d698c49d105cff4d68c62d4addb6e66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003026", "prompt": "Compute: 5 + (-1 - (900 + 52))", "solution_steps": ["Add: 900 + 52 = 952", "Subtract: -1 - 952 = -953", "Add: 5 + (-953) = -948"], "final_answer": "-948", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-1 - (900 + 52))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -1, \"c\": 900, \"d\": 52}", "seed": "12421031911697742774", "semantic_fingerprint": "sha256:089afae3e73f06a1573bf7a8a35416670fae772329197521f68fe1a75f4c7037", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003027", "prompt": "Solve the equation 6x - 8 = 2(x - 8) for x.", "solution_steps": ["Expand: 6x - 8 = 2x - 16", "Subtract 2x from both sides: 4x - 8 = -16", "Add 8 to both sides: 4x = -8", "Divide both sides by 4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 8 = 2(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 8, \"e\": -8, \"x\": -2}", "seed": "1734187849258580246", "semantic_fingerprint": "sha256:971af547e02be392a1faa639cfa5845b684ea9a2b69f591db8bf0c5ee3c8f342", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003028", "prompt": "Calculate: (325 + 69) / (6 - (-633) / 12)", "solution_steps": ["Add: 325 + 69 = 394", "Divide: -633 / 12 = -211/4", "Subtract: 6 - (-211/4) = 235/4", "Divide: 394 / (235/4) = 1576/235"], "final_answer": "1576/235", "answer_type": "rational", "kind": "expression", "math_text": "(325 + 69) / (6 - (-633) / 12)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 325, \"b\": 69, \"c\": 6, \"d\": -633, \"e\": 12}", "seed": "14257167247323966068", "semantic_fingerprint": "sha256:f234102aef2a6b2fd7551384cbc816572433e562f67f5ac0ae6a2a26eeb276f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003029", "prompt": "Find x: -9x - 180 = 4x - 141", "solution_steps": ["Subtract 4x from both sides: -13x - 180 = -141", "Add 180 to both sides: -13x = 39", "Divide both sides by -13: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 180 = 4x - 141", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 180, \"c\": 4, \"e\": -141, \"x\": -3}", "seed": "11639900905751886695", "semantic_fingerprint": "sha256:98b53abcbea26b3392f6c1f67805a3369d2f29f8adf41596114aca2875b18462", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003030", "prompt": "Solve the equation -7x = 6(x + 5) - 95 for x.", "solution_steps": ["Expand: -7x = 6x + 30 - 95", "Combine constants: -7x = 6x - 65", "Subtract 6x from both sides: -13x = -65", "Divide both sides by -13: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 6(x + 5) - 95", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 5, \"e\": -95, \"x\": 5}", "seed": "6148393181929418016", "semantic_fingerprint": "sha256:849bc35fef7d71183d3b0466cb94ca834d173eb9a3d83de72b849c47ff906551", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003031", "prompt": "What is (43 + (-8 + 3)) * (-26 + (-8)) - 8?", "solution_steps": ["Add: -8 + 3 = -5", "Add: 43 + (-5) = 38", "Add: -26 + (-8) = -34", "Multiply: 38 * (-34) = -1292", "Subtract: -1292 - 8 = -1300"], "final_answer": "-1300", "answer_type": "integer", "kind": "expression", "math_text": "(43 + (-8 + 3)) * (-26 + (-8)) - 8", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n (+ n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -8, \"c\": 3, \"d\": -26, \"e\": -8, \"f\": 8}", "seed": "6219262947903177138", "semantic_fingerprint": "sha256:40e7bd65f580b37ab3ebe7ce7d0147c52334769ef0441c3bbf673ef1a740159e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003032", "prompt": "What value of x satisfies 11x = 10(x + 78) - 761?", "solution_steps": ["Expand: 11x = 10x + 780 - 761", "Combine constants: 11x = 10x + 19", "Subtract 10x from both sides: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 10(x + 78) - 761", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 10, \"c\": 78, \"e\": -761, \"x\": 19}", "seed": "10693320318420020861", "semantic_fingerprint": "sha256:5cd6682871514634017a5d96cb34a69eac9f00e0b2971f69569fa036eaddc774", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003033", "prompt": "Find x: 4x = -11(x + 6) - 20", "solution_steps": ["Expand: 4x = -11x - 66 - 20", "Combine constants: 4x = -11x - 86", "Add 11x to both sides: 15x = -86", "Divide both sides by 15: x = -86/15"], "final_answer": "-86/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = -11(x + 6) - 20", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -11, \"c\": 6, \"d\": 20}", "seed": "16812680016801901826", "semantic_fingerprint": "sha256:b268b484de41a65b001ef3f99f36d7217d6dedaf28e8bedcb96679066bb4113a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003034", "prompt": "Compute: 6 * 9 - 287 + (-2 - 4)", "solution_steps": ["Multiply: 6 * 9 = 54", "Subtract: 54 - 287 = -233", "Subtract: -2 - 4 = -6", "Add: -233 + (-6) = -239"], "final_answer": "-239", "answer_type": "integer", "kind": "expression", "math_text": "6 * 9 - 287 + (-2 - 4)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 287, \"d\": -2, \"e\": 4}", "seed": "3673874985019706749", "semantic_fingerprint": "sha256:6af7610f991f69fa571d7a41dbe174b306ef5e82b72c5dcd6d315f9abb05f98e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003035", "prompt": "What is 69 + (-17 - 342) + (-8)?", "solution_steps": ["Subtract: -17 - 342 = -359", "Add: 69 + (-359) = -290", "Add: -290 + (-8) = -298"], "final_answer": "-298", "answer_type": "integer", "kind": "expression", "math_text": "69 + (-17 - 342) + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -17, \"c\": 342, \"d\": -8}", "seed": "707516564297447709", "semantic_fingerprint": "sha256:46f8df8527aee8f400a50b106c8dd33dce01a464ef6c68b384c69774d08b487a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003036", "prompt": "Solve for x: 2x - 721 = 4x - 745", "solution_steps": ["Subtract 4x from both sides: -2x - 721 = -745", "Add 721 to both sides: -2x = -24", "Divide both sides by -2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 721 = 4x - 745", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 721, \"c\": 4, \"e\": -745, \"x\": 12}", "seed": "14877869198860868106", "semantic_fingerprint": "sha256:2d63857c5ea4bbff9b632588ef097a90c0bb5df6004362cb7d1252102d02453d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003037", "prompt": "What value of x satisfies 10(x - 5) + 280 = 5(x + 46)?", "solution_steps": ["Expand: 10x - 50 + 280 = 5(x + 46)", "Expand: 10x - 50 + 280 = 5x + 230", "Combine constants: 10x + 230 = 5x + 230", "Subtract 5x from both sides: 5x + 230 = 230", "Subtract 230 from both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 5) + 280 = 5(x + 46)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 5, \"d\": 46, \"f\": 280, \"x\": 0}", "seed": "11774450574099556434", "semantic_fingerprint": "sha256:9b6dfa19cb59748acd1ff9bf7a10861e6782be25053b17aad452dd285d3a7a40", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003038", "prompt": "What value of x satisfies -7x - 43 = -10(x - 77)?", "solution_steps": ["Expand: -7x - 43 = -10x + 770", "Add 10x to both sides: 3x - 43 = 770", "Add 43 to both sides: 3x = 813", "Divide both sides by 3: x = 271"], "final_answer": "271", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 43 = -10(x - 77)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 43, \"c\": -10, \"d\": 77}", "seed": "11884814339366844867", "semantic_fingerprint": "sha256:3513c78754dbef59ea2e7612b4eb3602c8c8c3c88b16b59f5fc9bbefc0c1ee30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003039", "prompt": "What value of x satisfies -6(x - 139) - 4 = x + 718?", "solution_steps": ["Expand: -6x + 834 - 4 = x + 718", "Combine constants: -6x + 830 = x + 718", "Subtract x from both sides: -7x + 830 = 718", "Subtract 830 from both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 139) - 4 = x + 718", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 139, \"c\": 4, \"e\": 718, \"x\": 16}", "seed": "16986755849952796377", "semantic_fingerprint": "sha256:a567b2fc3822ae84ff8424eb1f6a8c5ffd0f4a887880af8f33bc1ce0b7ce3159", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003040", "prompt": "What is (19 + (-96)) / (-5) + (-20)?", "solution_steps": ["Add: 19 + (-96) = -77", "Divide: -77 / (-5) = 77/5", "Add: 77/5 + (-20) = -23/5"], "final_answer": "-23/5", "answer_type": "rational", "kind": "expression", "math_text": "(19 + (-96)) / (-5) + (-20)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -96, \"c\": -5, \"d\": -20}", "seed": "18080241618200008327", "semantic_fingerprint": "sha256:f37df31bb648d3e37608f98df55ea956cf6381511f9385e7e3504143601c51fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003041", "prompt": "Calculate: (-76 - (-81)) * (-2) / (8 - (-277))", "solution_steps": ["Subtract: -76 - (-81) = 5", "Multiply: 5 * (-2) = -10", "Subtract: 8 - (-277) = 285", "Divide: -10 / 285 = -2/57"], "final_answer": "-2/57", "answer_type": "rational", "kind": "expression", "math_text": "(-76 - (-81)) * (-2) / (8 - (-277))", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -81, \"c\": -2, \"d\": 8, \"e\": -277}", "seed": "14997820790867141109", "semantic_fingerprint": "sha256:d4be7339c974084f9eb958dec2126814b8eaec774465949848da93342a23255b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003042", "prompt": "Evaluate: 6 * (-77) - (193 + (-791)) * (-412 + 9)", "solution_steps": ["Multiply: 6 * (-77) = -462", "Add: 193 + (-791) = -598", "Add: -412 + 9 = -403", "Multiply: -598 * (-403) = 240994", "Subtract: -462 - 240994 = -241456"], "final_answer": "-241456", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-77) - (193 + (-791)) * (-412 + 9)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -77, \"c\": 193, \"d\": -791, \"e\": -412, \"f\": 9}", "seed": "13745746167598262341", "semantic_fingerprint": "sha256:3a153c2052e7553b8e47907c1ddbb06acc9f3168c4484745269ad65d8dbbc1c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003043", "prompt": "Compute: (28 + 773) / (3 + (-783))", "solution_steps": ["Add: 28 + 773 = 801", "Add: 3 + (-783) = -780", "Divide: 801 / (-780) = -267/260"], "final_answer": "-267/260", "answer_type": "rational", "kind": "expression", "math_text": "(28 + 773) / (3 + (-783))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 773, \"c\": 3, \"d\": -783}", "seed": "15644296616543760052", "semantic_fingerprint": "sha256:b62e3871a61c0c4cc17509bf1adaeea3d36ea34c8c5ae1c875bad761b0987e8c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003044", "prompt": "What value of x satisfies 3x - 2 = -3x - 9?", "solution_steps": ["Add 3x to both sides: 6x - 2 = -9", "Add 2 to both sides: 6x = -7", "Divide both sides by 6: x = -7/6"], "final_answer": "-7/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 2 = -3x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": -3, \"d\": 9}", "seed": "2407338318792212893", "semantic_fingerprint": "sha256:bad66036c7cc79fd60747b7f2fef762aaeb41f25769c9317cb4dcf3f59768fe4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003045", "prompt": "Solve the equation 7x - 895 = 10(x - 88) for x.", "solution_steps": ["Expand: 7x - 895 = 10x - 880", "Subtract 10x from both sides: -3x - 895 = -880", "Add 895 to both sides: -3x = 15", "Divide both sides by -3: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 895 = 10(x - 88)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 88, \"e\": -895, \"x\": -5}", "seed": "2116222121854378129", "semantic_fingerprint": "sha256:93b5dfa82814736d1b0b011368c52d998ef94ce2b57529bcf80e19d63c176637", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003046", "prompt": "What is 80 * 0 * (-74 / 39)?", "solution_steps": ["Multiply: 80 * 0 = 0", "Divide: -74 / 39 = -74/39", "Multiply: 0 * (-74/39) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "80 * 0 * (-74 / 39)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 0, \"c\": -74, \"d\": 39}", "seed": "8160393273613625094", "semantic_fingerprint": "sha256:3b0f36eb0ff9438e1758ce4aa7e354c189ef2a9f701734a09e2b38f8fae6461e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003047", "prompt": "Evaluate: 7 / (-84 + (-74)) * (-269 * (-8))", "solution_steps": ["Add: -84 + (-74) = -158", "Divide: 7 / (-158) = -7/158", "Multiply: -269 * (-8) = 2152", "Multiply: (-7/158) * 2152 = -7532/79"], "final_answer": "-7532/79", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-84 + (-74)) * (-269 * (-8))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -84, \"c\": -74, \"d\": -269, \"e\": -8}", "seed": "15968659062947281213", "semantic_fingerprint": "sha256:0532fd72e767fe8c8b0e8fc6a267aa5a7ccc40d8dfffd7437654384a18ea4275", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003048", "prompt": "Find x: 7(x + 39) - 2 = x + 355", "solution_steps": ["Expand: 7x + 273 - 2 = x + 355", "Combine constants: 7x + 271 = x + 355", "Subtract x from both sides: 6x + 271 = 355", "Subtract 271 from both sides: 6x = 84", "Divide both sides by 6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 39) - 2 = x + 355", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 39, \"c\": 2, \"e\": 355, \"x\": 14}", "seed": "14743482165386569086", "semantic_fingerprint": "sha256:5b6950be5eb01442903d0caf60ab0403ecbfeca187c39490f46861086394a02b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003049", "prompt": "Find x: 10x - 4 = 2x - 38", "solution_steps": ["Subtract 2x from both sides: 8x - 4 = -38", "Add 4 to both sides: 8x = -34", "Divide both sides by 8: x = -17/4"], "final_answer": "-17/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 4 = 2x - 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 2, \"d\": 38}", "seed": "6800387773060133768", "semantic_fingerprint": "sha256:9805a52f050512227a9ce6e9ea7521aa17680366dd6752ff86036a3f9322de7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003050", "prompt": "Solve the equation -2(x - 54) - 23 = x + 40 for x.", "solution_steps": ["Expand: -2x + 108 - 23 = x + 40", "Combine constants: -2x + 85 = x + 40", "Subtract x from both sides: -3x + 85 = 40", "Subtract 85 from both sides: -3x = -45", "Divide both sides by -3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 54) - 23 = x + 40", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 54, \"c\": 23, \"e\": 40, \"x\": 15}", "seed": "2848328913073285878", "semantic_fingerprint": "sha256:13218cec1e01fae1c72c6af929c23a342f19d6e2cad7ae7113eede478c03f072", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003051", "prompt": "Calculate: (0 - (-349) + (46 - 5)) * 97", "solution_steps": ["Subtract: 0 - (-349) = 349", "Subtract: 46 - 5 = 41", "Add: 349 + 41 = 390", "Multiply: 390 * 97 = 37830"], "final_answer": "37830", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-349) + (46 - 5)) * 97", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -349, \"c\": 46, \"d\": 5, \"e\": 97}", "seed": "12729066998170265547", "semantic_fingerprint": "sha256:c26938d4e03aed307296cd1806ddc7ba3f2328776eb6e7470d019e6d226bd3a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003052", "prompt": "Solve for x: 4(x + 66) + 64 = x + 343", "solution_steps": ["Expand: 4x + 264 + 64 = x + 343", "Combine constants: 4x + 328 = x + 343", "Subtract x from both sides: 3x + 328 = 343", "Subtract 328 from both sides: 3x = 15", "Divide both sides by 3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 66) + 64 = x + 343", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 66, \"c\": 64, \"e\": 343, \"x\": 5}", "seed": "2443073515785278332", "semantic_fingerprint": "sha256:3532c47cf3f1814d9d8b3fcfe67124a1e17359ef400a465adad97731dd13845b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003053", "prompt": "Calculate: 6 / (-4 * (288 + (-51)))", "solution_steps": ["Add: 288 + (-51) = 237", "Multiply: -4 * 237 = -948", "Divide: 6 / (-948) = -1/158"], "final_answer": "-1/158", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-4 * (288 + (-51)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": 288, \"d\": -51}", "seed": "4935845976380226271", "semantic_fingerprint": "sha256:9bc44407adcea4529b92b92c1af19618d65a21eb31addfc6c28d75eccb165b91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003054", "prompt": "What value of x satisfies -3(x + 66) + 909 = x + 671?", "solution_steps": ["Expand: -3x - 198 + 909 = x + 671", "Combine constants: -3x + 711 = x + 671", "Subtract x from both sides: -4x + 711 = 671", "Subtract 711 from both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 66) + 909 = x + 671", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 66, \"c\": 909, \"e\": 671, \"x\": 10}", "seed": "17016324763117470753", "semantic_fingerprint": "sha256:b0fbc75f8a6eb42dac1f7707de499d0c99635c0ec03ad41bf7e503ae687abea9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003055", "prompt": "Compute: (-152 / (-1) - (-249)) * (-27 - (-343))", "solution_steps": ["Divide: -152 / (-1) = 152", "Subtract: 152 - (-249) = 401", "Subtract: -27 - (-343) = 316", "Multiply: 401 * 316 = 126716"], "final_answer": "126716", "answer_type": "integer", "kind": "expression", "math_text": "(-152 / (-1) - (-249)) * (-27 - (-343))", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -152, \"b\": -1, \"c\": -249, \"d\": -27, \"e\": -343}", "seed": "940901620460440298", "semantic_fingerprint": "sha256:49f0ec94d0c07b167f317ab0ac70dc4898664d3b12c9a89f39d7fddda3ef75e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003056", "prompt": "Find x: 9(x + 122) = -7(x - 50) + 924", "solution_steps": ["Expand: 9x + 1098 = -7(x - 50) + 924", "Expand: 9x + 1098 = -7x + 350 + 924", "Combine constants: 9x + 1098 = -7x + 1274", "Add 7x to both sides: 16x + 1098 = 1274", "Subtract 1098 from both sides: 16x = 176", "Divide both sides by 16: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 122) = -7(x - 50) + 924", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 122, \"c\": -7, \"d\": 50, \"f\": 924, \"x\": 11}", "seed": "6777347902793734653", "semantic_fingerprint": "sha256:8815baecd557efd0e13c2a6a679535265e45c42d6408e1d0bdc600073c6534a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003057", "prompt": "Calculate: (-3 - 49 + 661 / 83) / (-1 / 49)", "solution_steps": ["Subtract: -3 - 49 = -52", "Divide: 661 / 83 = 661/83", "Add: -52 + 661/83 = -3655/83", "Divide: -1 / 49 = -1/49", "Divide: (-3655/83) / (-1/49) = 179095/83"], "final_answer": "179095/83", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 49 + 661 / 83) / (-1 / 49)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 49, \"c\": 661, \"d\": 83, \"e\": -1, \"f\": 49}", "seed": "4633306960416723868", "semantic_fingerprint": "sha256:771a6c8a285a2a8544f2584b6d944ad7574f483ecf1abd3363964e5701496e3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003058", "prompt": "Calculate: 3 - (-8) * (-51) + (-80) * (2 + (-77))", "solution_steps": ["Multiply: -8 * (-51) = 408", "Subtract: 3 - 408 = -405", "Add: 2 + (-77) = -75", "Multiply: -80 * (-75) = 6000", "Add: -405 + 6000 = 5595"], "final_answer": "5595", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-8) * (-51) + (-80) * (2 + (-77))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n n)) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": -51, \"d\": -80, \"e\": 2, \"f\": -77}", "seed": "670786698831073405", "semantic_fingerprint": "sha256:39088469e9d0ebb69f4773b0aea00dcea600cf12f13c86d5275d4acae519fa62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003059", "prompt": "Compute: (-40 + (-5)) / 76 + (-3)", "solution_steps": ["Add: -40 + (-5) = -45", "Divide: -45 / 76 = -45/76", "Add: -45/76 + (-3) = -273/76"], "final_answer": "-273/76", "answer_type": "rational", "kind": "expression", "math_text": "(-40 + (-5)) / 76 + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -5, \"c\": 76, \"d\": -3}", "seed": "8992288892661243913", "semantic_fingerprint": "sha256:e0d94b9a68a419090549e57c147aa0e8f1d6ea621c1254af28ecc50282f09a89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003060", "prompt": "Evaluate: (93 + (-1)) * 1 * (79 * 64 - (-35))", "solution_steps": ["Add: 93 + (-1) = 92", "Multiply: 92 * 1 = 92", "Multiply: 79 * 64 = 5056", "Subtract: 5056 - (-35) = 5091", "Multiply: 92 * 5091 = 468372"], "final_answer": "468372", "answer_type": "integer", "kind": "expression", "math_text": "(93 + (-1)) * 1 * (79 * 64 - (-35))", "variable": null, "family": "expression_5op", "shape": "(* (* (+ n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -1, \"c\": 1, \"d\": 79, \"e\": 64, \"f\": -35}", "seed": "1115592013281519171", "semantic_fingerprint": "sha256:414cd680b62b851d66a4c92763ea5b2eb444fbf69afe2acf4766b2b10abf597c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003061", "prompt": "Calculate: 29 + (-46 / 667 - (-386 - (-41)))", "solution_steps": ["Divide: -46 / 667 = -2/29", "Subtract: -386 - (-41) = -345", "Subtract: -2/29 - (-345) = 10003/29", "Add: 29 + 10003/29 = 10844/29"], "final_answer": "10844/29", "answer_type": "rational", "kind": "expression", "math_text": "29 + (-46 / 667 - (-386 - (-41)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -46, \"c\": 667, \"d\": -386, \"e\": -41}", "seed": "2577916780003244481", "semantic_fingerprint": "sha256:77e4d4ac05b3da8d240dbfba682375a9a0e021fcb3030ef8ed6d339b8436123a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003062", "prompt": "Evaluate: (60 - 510 * 63) / (1 / 436 - 91)", "solution_steps": ["Multiply: 510 * 63 = 32130", "Subtract: 60 - 32130 = -32070", "Divide: 1 / 436 = 1/436", "Subtract: 1/436 - 91 = -39675/436", "Divide: -32070 / (-39675/436) = 932168/2645"], "final_answer": "932168/2645", "answer_type": "rational", "kind": "expression", "math_text": "(60 - 510 * 63) / (1 / 436 - 91)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 510, \"c\": 63, \"d\": 1, \"e\": 436, \"f\": 91}", "seed": "4230667494823493753", "semantic_fingerprint": "sha256:e6c2042793768d800818c9aff025b79928695ec1ce63a45f55a462fdfaf74061", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003063", "prompt": "Find x: -6(x - 5) + 255 = 3(x + 47)", "solution_steps": ["Expand: -6x + 30 + 255 = 3(x + 47)", "Expand: -6x + 30 + 255 = 3x + 141", "Combine constants: -6x + 285 = 3x + 141", "Subtract 3x from both sides: -9x + 285 = 141", "Subtract 285 from both sides: -9x = -144", "Divide both sides by -9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 5) + 255 = 3(x + 47)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": 3, \"d\": 47, \"f\": 255, \"x\": 16}", "seed": "9469126730423365033", "semantic_fingerprint": "sha256:5a6cdad8dd925560e8a426fc5d7e04bde6f31dc797b8896e9677059672874ef5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003064", "prompt": "Find x: 7x = 6(x + 56) - 325", "solution_steps": ["Expand: 7x = 6x + 336 - 325", "Combine constants: 7x = 6x + 11", "Subtract 6x from both sides: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 6(x + 56) - 325", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 56, \"e\": -325, \"x\": 11}", "seed": "3328691465183715315", "semantic_fingerprint": "sha256:daea020ef2b60f11e0273a80108ae801c616dfb773e6494e36e24bc9701ae777", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003065", "prompt": "What value of x satisfies 9x = 7(x + 86) - 61?", "solution_steps": ["Expand: 9x = 7x + 602 - 61", "Combine constants: 9x = 7x + 541", "Subtract 7x from both sides: 2x = 541", "Divide both sides by 2: x = 541/2"], "final_answer": "541/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 7(x + 86) - 61", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 86, \"d\": 61}", "seed": "8534522850026772045", "semantic_fingerprint": "sha256:24eab02b8c5ae0fb3964466d56b8ca663f2f081db8ef018d9839b872768d084e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003066", "prompt": "Evaluate: 31 - (3 - (-14)) - (7 + 3)", "solution_steps": ["Subtract: 3 - (-14) = 17", "Subtract: 31 - 17 = 14", "Add: 7 + 3 = 10", "Subtract: 14 - 10 = 4"], "final_answer": "4", "answer_type": "integer", "kind": "expression", "math_text": "31 - (3 - (-14)) - (7 + 3)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 3, \"c\": -14, \"d\": 7, \"e\": 3}", "seed": "571784264125239237", "semantic_fingerprint": "sha256:0de78106e4ca2c3867f9744e3c96477500303d7214ab021dad6d62aad5f2ecaf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003067", "prompt": "What is 76 + (-4 / (-19 - (-1)) - 2) - (-917)?", "solution_steps": ["Subtract: -19 - (-1) = -18", "Divide: -4 / (-18) = 2/9", "Subtract: 2/9 - 2 = -16/9", "Add: 76 + (-16/9) = 668/9", "Subtract: 668/9 - (-917) = 8921/9"], "final_answer": "8921/9", "answer_type": "rational", "kind": "expression", "math_text": "76 + (-4 / (-19 - (-1)) - 2) - (-917)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- (/ n (- n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -4, \"c\": -19, \"d\": -1, \"e\": 2, \"f\": -917}", "seed": "369924415686783205", "semantic_fingerprint": "sha256:73caf495f56830bcf6808b4452939c9bd39d3fab439d7e93807a833242814d63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003068", "prompt": "What is 1 * (-70) + (-298 - (-21))?", "solution_steps": ["Multiply: 1 * (-70) = -70", "Subtract: -298 - (-21) = -277", "Add: -70 + (-277) = -347"], "final_answer": "-347", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-70) + (-298 - (-21))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -70, \"c\": -298, \"d\": -21}", "seed": "7064346910996779256", "semantic_fingerprint": "sha256:8167069c3d4211349862239e6b7f4b868713f924d48464d4d6a0fc747607f035", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003069", "prompt": "Calculate: 44 * (-4 / 6 - 5) - 806", "solution_steps": ["Divide: -4 / 6 = -2/3", "Subtract: -2/3 - 5 = -17/3", "Multiply: 44 * (-17/3) = -748/3", "Subtract: -748/3 - 806 = -3166/3"], "final_answer": "-3166/3", "answer_type": "rational", "kind": "expression", "math_text": "44 * (-4 / 6 - 5) - 806", "variable": null, "family": "expression_4op", "shape": "(- (* n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -4, \"c\": 6, \"d\": 5, \"e\": 806}", "seed": "5506076784388220807", "semantic_fingerprint": "sha256:f7ac6f818eeb81bcf22a40ee783242aeadde62b73e61a76a88bc440e675036de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003070", "prompt": "Compute: 36 * 94 - (-919 + (-80)) - 50", "solution_steps": ["Multiply: 36 * 94 = 3384", "Add: -919 + (-80) = -999", "Subtract: 3384 - (-999) = 4383", "Subtract: 4383 - 50 = 4333"], "final_answer": "4333", "answer_type": "integer", "kind": "expression", "math_text": "36 * 94 - (-919 + (-80)) - 50", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 94, \"c\": -919, \"d\": -80, \"e\": 50}", "seed": "7864545064910614823", "semantic_fingerprint": "sha256:fd6fc7286f83d4490effe07d349d5c11af47655ddee62007cc27ddbd0b5ce016", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003071", "prompt": "Solve the equation 10(x + 42) + 5 = x + 308 for x.", "solution_steps": ["Expand: 10x + 420 + 5 = x + 308", "Combine constants: 10x + 425 = x + 308", "Subtract x from both sides: 9x + 425 = 308", "Subtract 425 from both sides: 9x = -117", "Divide both sides by 9: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 42) + 5 = x + 308", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 42, \"c\": 5, \"e\": 308, \"x\": -13}", "seed": "3134191529956116296", "semantic_fingerprint": "sha256:c35018720f3886f4646762b6efb94c750ebe926d41b6dcb45c03b5f0b5794681", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003072", "prompt": "Solve the equation 11x - 117 = 9(x - 13) for x.", "solution_steps": ["Expand: 11x - 117 = 9x - 117", "Subtract 9x from both sides: 2x - 117 = -117", "Add 117 to both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 117 = 9(x - 13)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 13, \"e\": -117, \"x\": 0}", "seed": "3226604504898331907", "semantic_fingerprint": "sha256:6b710859b045728d74136421ddf00deedc6d9b80528abe6b05da5ab2ead9021a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003073", "prompt": "Find x: 8(x + 81) + 7 = x + 774", "solution_steps": ["Expand: 8x + 648 + 7 = x + 774", "Combine constants: 8x + 655 = x + 774", "Subtract x from both sides: 7x + 655 = 774", "Subtract 655 from both sides: 7x = 119", "Divide both sides by 7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 81) + 7 = x + 774", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 81, \"c\": 7, \"e\": 774, \"x\": 17}", "seed": "3135952076106702258", "semantic_fingerprint": "sha256:c9ac542ae2ad79227d0f0c4987017dc2b9e8d7c5a8e29ea000d39ad7719db276", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003074", "prompt": "Compute: -2 - (0 / (-70) + (-1) / 6)", "solution_steps": ["Divide: 0 / (-70) = 0", "Divide: -1 / 6 = -1/6", "Add: 0 + (-1/6) = -1/6", "Subtract: -2 - (-1/6) = -11/6"], "final_answer": "-11/6", "answer_type": "rational", "kind": "expression", "math_text": "-2 - (0 / (-70) + (-1) / 6)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": -70, \"d\": -1, \"e\": 6}", "seed": "17897729250795709190", "semantic_fingerprint": "sha256:f4f6a8a351fcb1a67ae9e730c374c631a5b2512482f5985f31624a87314cd043", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003075", "prompt": "Compute: -12 * 6 * (-3 + (580 + (-206)))", "solution_steps": ["Multiply: -12 * 6 = -72", "Add: 580 + (-206) = 374", "Add: -3 + 374 = 371", "Multiply: -72 * 371 = -26712"], "final_answer": "-26712", "answer_type": "integer", "kind": "expression", "math_text": "-12 * 6 * (-3 + (580 + (-206)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"c\": -3, \"d\": 580, \"e\": -206}", "seed": "7649948404800188982", "semantic_fingerprint": "sha256:eb77945f5db5a69a31ce7fcb2c4ed29f43aa5150038b99cdd03a10b5429fa1ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003076", "prompt": "Compute: 624 / (-2 * (6 + (-24)))", "solution_steps": ["Add: 6 + (-24) = -18", "Multiply: -2 * (-18) = 36", "Divide: 624 / 36 = 52/3"], "final_answer": "52/3", "answer_type": "rational", "kind": "expression", "math_text": "624 / (-2 * (6 + (-24)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 624, \"b\": -2, \"c\": 6, \"d\": -24}", "seed": "18367852368311229908", "semantic_fingerprint": "sha256:ec705a29686245682998838ef310718fa4bdc2eaa45fe5ac834255e9bbd9904d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003077", "prompt": "Compute: 34 + (-29) + (-1 - (-49)) / 44", "solution_steps": ["Add: 34 + (-29) = 5", "Subtract: -1 - (-49) = 48", "Divide: 48 / 44 = 12/11", "Add: 5 + 12/11 = 67/11"], "final_answer": "67/11", "answer_type": "rational", "kind": "expression", "math_text": "34 + (-29) + (-1 - (-49)) / 44", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -29, \"c\": -1, \"d\": -49, \"e\": 44}", "seed": "1747275213621708838", "semantic_fingerprint": "sha256:fd7fe6e74ee66118f7e71bed228075f23ce132bcdd47f535104c053300e8b426", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003078", "prompt": "Compute: (-5 / 5 - 331) * (3 + 16)", "solution_steps": ["Divide: -5 / 5 = -1", "Subtract: -1 - 331 = -332", "Add: 3 + 16 = 19", "Multiply: -332 * 19 = -6308"], "final_answer": "-6308", "answer_type": "integer", "kind": "expression", "math_text": "(-5 / 5 - 331) * (3 + 16)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 331, \"d\": 3, \"e\": 16}", "seed": "11210334970119799250", "semantic_fingerprint": "sha256:f8738d26c0adaed7f624de23e67255a5cd12b1c7969b70840d5d7c050bd53cf3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003079", "prompt": "Evaluate: 9 - (-63) / (-72) - 596", "solution_steps": ["Divide: -63 / (-72) = 7/8", "Subtract: 9 - 7/8 = 65/8", "Subtract: 65/8 - 596 = -4703/8"], "final_answer": "-4703/8", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-63) / (-72) - 596", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -63, \"c\": -72, \"d\": 596}", "seed": "3205671266940260151", "semantic_fingerprint": "sha256:470b4286aa9dc1b27c4f9283d7eb54cb91a642e4c6758c8c771d59e8871767e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003080", "prompt": "Find x: -5(x - 19) + 463 = 9(x + 90)", "solution_steps": ["Expand: -5x + 95 + 463 = 9(x + 90)", "Expand: -5x + 95 + 463 = 9x + 810", "Combine constants: -5x + 558 = 9x + 810", "Subtract 9x from both sides: -14x + 558 = 810", "Subtract 558 from both sides: -14x = 252", "Divide both sides by -14: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 19) + 463 = 9(x + 90)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 19, \"c\": 9, \"d\": 90, \"f\": 463, \"x\": -18}", "seed": "12824424412593608912", "semantic_fingerprint": "sha256:2249b54d12747176af319e730f1edab1363faaf202cb61fb568c4b82ba57de50", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003081", "prompt": "What value of x satisfies 8x - 99 = 7x - 43?", "solution_steps": ["Subtract 7x from both sides: x - 99 = -43", "Add 99 to both sides: x = 56"], "final_answer": "56", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 99 = 7x - 43", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 99, \"c\": 7, \"d\": 43}", "seed": "18426964573216952365", "semantic_fingerprint": "sha256:7f127ee78f529e4a5222c9d8a6543d5b53d16db7dc437f4b03fb16c4d96a77ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003082", "prompt": "Evaluate: (-118 + (-3) + 7) / (1 * 10 + (-1))", "solution_steps": ["Add: -118 + (-3) = -121", "Add: -121 + 7 = -114", "Multiply: 1 * 10 = 10", "Add: 10 + (-1) = 9", "Divide: -114 / 9 = -38/3"], "final_answer": "-38/3", "answer_type": "rational", "kind": "expression", "math_text": "(-118 + (-3) + 7) / (1 * 10 + (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -118, \"b\": -3, \"c\": 7, \"d\": 1, \"e\": 10, \"f\": -1}", "seed": "6314703480289027869", "semantic_fingerprint": "sha256:b9ab959c1f30d52bf6f28d4767ba8fa888cbef20ec953dc70dfab841b23a2b9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003083", "prompt": "What value of x satisfies 9(x + 97) + 3 = x + 8?", "solution_steps": ["Expand: 9x + 873 + 3 = x + 8", "Combine constants: 9x + 876 = x + 8", "Subtract x from both sides: 8x + 876 = 8", "Subtract 876 from both sides: 8x = -868", "Divide both sides by 8: x = -217/2"], "final_answer": "-217/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 97) + 3 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 97, \"c\": 3, \"d\": 8}", "seed": "12573940243762390103", "semantic_fingerprint": "sha256:7efb4a5c7a772e59eb394bfbf5fb01cbdac89dfadfedb00f64cf1fedfcb5524c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003084", "prompt": "What value of x satisfies 5x - 357 = 10x - 357?", "solution_steps": ["Subtract 10x from both sides: -5x - 357 = -357", "Add 357 to both sides: -5x = 0", "Divide both sides by -5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 357 = 10x - 357", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 357, \"c\": 10, \"e\": -357, \"x\": 0}", "seed": "11147957551142515870", "semantic_fingerprint": "sha256:15f884d8f4f5e3f539cc905d0ac9f97478febba305c933ecb4afb581a19f9975", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003085", "prompt": "Solve the equation -12(x - 78) - 5 = x + 892 for x.", "solution_steps": ["Expand: -12x + 936 - 5 = x + 892", "Combine constants: -12x + 931 = x + 892", "Subtract x from both sides: -13x + 931 = 892", "Subtract 931 from both sides: -13x = -39", "Divide both sides by -13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 78) - 5 = x + 892", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 78, \"c\": 5, \"e\": 892, \"x\": 3}", "seed": "13916312255608068494", "semantic_fingerprint": "sha256:547fe8d160e27a2c8596416149e312821731700522d5c543eba58942c3857a17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003086", "prompt": "What is -734 * (-12) + 3 * 923?", "solution_steps": ["Multiply: -734 * (-12) = 8808", "Multiply: 3 * 923 = 2769", "Add: 8808 + 2769 = 11577"], "final_answer": "11577", "answer_type": "integer", "kind": "expression", "math_text": "-734 * (-12) + 3 * 923", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -734, \"b\": -12, \"c\": 3, \"d\": 923}", "seed": "17678850180255108824", "semantic_fingerprint": "sha256:52cf5d00c7be0cdcf9821dcf44ee2670b478f6c378b6ef887d16ff32fd1320d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003087", "prompt": "Evaluate: 99 / (33 / 89) - (2 - 354) / (-970)", "solution_steps": ["Divide: 33 / 89 = 33/89", "Divide: 99 / (33/89) = 267", "Subtract: 2 - 354 = -352", "Divide: -352 / (-970) = 176/485", "Subtract: 267 - 176/485 = 129319/485"], "final_answer": "129319/485", "answer_type": "rational", "kind": "expression", "math_text": "99 / (33 / 89) - (2 - 354) / (-970)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 33, \"c\": 89, \"d\": 2, \"e\": 354, \"f\": -970}", "seed": "11313858403915913942", "semantic_fingerprint": "sha256:20e25cca0dbebac6c099bb4f30ffd12980182f76425de9e267520a18608566ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003088", "prompt": "Compute: 9 / (-40 * (36 - 99)) * 75", "solution_steps": ["Subtract: 36 - 99 = -63", "Multiply: -40 * (-63) = 2520", "Divide: 9 / 2520 = 1/280", "Multiply: (1/280) * 75 = 15/56"], "final_answer": "15/56", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-40 * (36 - 99)) * 75", "variable": null, "family": "expression_4op", "shape": "(* (/ n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -40, \"c\": 36, \"d\": 99, \"e\": 75}", "seed": "588213479958390579", "semantic_fingerprint": "sha256:119bd017cfaa8dbf8e107ab29753a2a9b241e5be2ced78f0e230438f9f9679f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003089", "prompt": "Compute: 1 * (49 * 9) * (-2)", "solution_steps": ["Multiply: 49 * 9 = 441", "Multiply: 1 * 441 = 441", "Multiply: 441 * (-2) = -882"], "final_answer": "-882", "answer_type": "integer", "kind": "expression", "math_text": "1 * (49 * 9) * (-2)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 49, \"c\": 9, \"d\": -2}", "seed": "13642357141468053485", "semantic_fingerprint": "sha256:ec070f47de657d864c2feaecd97eb5ceb94a39b7276ed1f00d620bd5cbdf18e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003090", "prompt": "What is -40 / 9 - (-26) - (-170) / 730?", "solution_steps": ["Divide: -40 / 9 = -40/9", "Subtract: -40/9 - (-26) = 194/9", "Divide: -170 / 730 = -17/73", "Subtract: 194/9 - (-17/73) = 14315/657"], "final_answer": "14315/657", "answer_type": "rational", "kind": "expression", "math_text": "-40 / 9 - (-26) - (-170) / 730", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 9, \"c\": -26, \"d\": -170, \"e\": 730}", "seed": "16427704495850969742", "semantic_fingerprint": "sha256:4f8e67c1237594e331c113e5af8c54cadf81b0d29a7e8efb2882ad5d2f3a1113", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003091", "prompt": "Calculate: (-8 * (-240) / 40 + 857) / 305", "solution_steps": ["Multiply: -8 * (-240) = 1920", "Divide: 1920 / 40 = 48", "Add: 48 + 857 = 905", "Divide: 905 / 305 = 181/61"], "final_answer": "181/61", "answer_type": "rational", "kind": "expression", "math_text": "(-8 * (-240) / 40 + 857) / 305", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -240, \"c\": 40, \"d\": 857, \"e\": 305}", "seed": "17125429852957107361", "semantic_fingerprint": "sha256:1a8fc109497e3997e5d35eaab1c7dc302c4568c28a88012d2119f4b7f5a859b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003092", "prompt": "Solve for x: 7(x + 86) + 1 = x + 711", "solution_steps": ["Expand: 7x + 602 + 1 = x + 711", "Combine constants: 7x + 603 = x + 711", "Subtract x from both sides: 6x + 603 = 711", "Subtract 603 from both sides: 6x = 108", "Divide both sides by 6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 86) + 1 = x + 711", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 86, \"c\": 1, \"e\": 711, \"x\": 18}", "seed": "5535682702096499486", "semantic_fingerprint": "sha256:7d05a4821c57c8baf04ceb1b5581f4a9eb0f3e257dd9c9107f14b48d69a1547b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003093", "prompt": "Calculate: 4 * 52 / (70 + (-7 + (-47)))", "solution_steps": ["Multiply: 4 * 52 = 208", "Add: -7 + (-47) = -54", "Add: 70 + (-54) = 16", "Divide: 208 / 16 = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "4 * 52 / (70 + (-7 + (-47)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 52, \"c\": 70, \"d\": -7, \"e\": -47}", "seed": "2780320457743663165", "semantic_fingerprint": "sha256:4f66bb0026ba09a20c42fbd0972b406f4c3596783122bcbcb5344daba56d3ec6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003094", "prompt": "Compute: -547 + 29 + 1 * (-36 + (-35))", "solution_steps": ["Add: -547 + 29 = -518", "Add: -36 + (-35) = -71", "Multiply: 1 * (-71) = -71", "Add: -518 + (-71) = -589"], "final_answer": "-589", "answer_type": "integer", "kind": "expression", "math_text": "-547 + 29 + 1 * (-36 + (-35))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -547, \"b\": 29, \"c\": 1, \"d\": -36, \"e\": -35}", "seed": "7595746060009102074", "semantic_fingerprint": "sha256:a5139cd9151d66a78d1cd7e9c8049934fa271356a31f4da513ce410ce02f2954", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003095", "prompt": "Solve the equation 9(x + 839) - 5 = x + 70 for x.", "solution_steps": ["Expand: 9x + 7551 - 5 = x + 70", "Combine constants: 9x + 7546 = x + 70", "Subtract x from both sides: 8x + 7546 = 70", "Subtract 7546 from both sides: 8x = -7476", "Divide both sides by 8: x = -1869/2"], "final_answer": "-1869/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 839) - 5 = x + 70", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 839, \"c\": 5, \"d\": 70}", "seed": "12575212372712587964", "semantic_fingerprint": "sha256:9bef35e6b51015c5736cc403f3a5031c6aa255f35890ee8b6881f171269389aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003096", "prompt": "Calculate: -1 + (114 - (-436) - (-3)) - 302", "solution_steps": ["Subtract: 114 - (-436) = 550", "Subtract: 550 - (-3) = 553", "Add: -1 + 553 = 552", "Subtract: 552 - 302 = 250"], "final_answer": "250", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (114 - (-436) - (-3)) - 302", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 114, \"c\": -436, \"d\": -3, \"e\": 302}", "seed": "3743876535465540176", "semantic_fingerprint": "sha256:e87e521c8b1b4d9a793126ebc551783ba90f46f4559bae205fe5ac4366093116", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003097", "prompt": "Evaluate: 349 - (-46) * (-576 / 464)", "solution_steps": ["Divide: -576 / 464 = -36/29", "Multiply: -46 * (-36/29) = 1656/29", "Subtract: 349 - 1656/29 = 8465/29"], "final_answer": "8465/29", "answer_type": "rational", "kind": "expression", "math_text": "349 - (-46) * (-576 / 464)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 349, \"b\": -46, \"c\": -576, \"d\": 464}", "seed": "13658353180934104322", "semantic_fingerprint": "sha256:ab86757f31b3cad47144b0cf7165900b8f116549aa7ee1131fad0b025edc267f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003098", "prompt": "Evaluate: 23 * (-2) / ((-58 + 61) * (-82)) + 2", "solution_steps": ["Multiply: 23 * (-2) = -46", "Add: -58 + 61 = 3", "Multiply: 3 * (-82) = -246", "Divide: -46 / (-246) = 23/123", "Add: 23/123 + 2 = 269/123"], "final_answer": "269/123", "answer_type": "rational", "kind": "expression", "math_text": "23 * (-2) / ((-58 + 61) * (-82)) + 2", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) (* (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -2, \"c\": -58, \"d\": 61, \"e\": -82, \"f\": 2}", "seed": "8452219407046088000", "semantic_fingerprint": "sha256:58d869bffa42d3372bad9d6c2b1e82672d947b88b517f0a692a0f83f06bffcca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003099", "prompt": "Evaluate: (0 + 586) / (-8 + (-60))", "solution_steps": ["Add: 0 + 586 = 586", "Add: -8 + (-60) = -68", "Divide: 586 / (-68) = -293/34"], "final_answer": "-293/34", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 586) / (-8 + (-60))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 586, \"c\": -8, \"d\": -60}", "seed": "3370522942760226176", "semantic_fingerprint": "sha256:abb60da14603de8539edab3591d1d6c449b6aa311040fd97872339d8b6716b8a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003100", "prompt": "Compute: -16 * (11 + (125 - (5 / 160 + 9)))", "solution_steps": ["Divide: 5 / 160 = 1/32", "Add: 1/32 + 9 = 289/32", "Subtract: 125 - 289/32 = 3711/32", "Add: 11 + 3711/32 = 4063/32", "Multiply: -16 * (4063/32) = -4063/2"], "final_answer": "-4063/2", "answer_type": "rational", "kind": "expression", "math_text": "-16 * (11 + (125 - (5 / 160 + 9)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (- n (+ (/ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 11, \"c\": 125, \"d\": 5, \"e\": 160, \"f\": 9}", "seed": "7195646554377234659", "semantic_fingerprint": "sha256:67ec691eca5026241ba2c47b64a6ae17cfbd36b8c9b9525ef7ba61a684f27621", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003101", "prompt": "Evaluate: (7 + 4) * (-33 - (-31) + 0)", "solution_steps": ["Add: 7 + 4 = 11", "Subtract: -33 - (-31) = -2", "Add: -2 + 0 = -2", "Multiply: 11 * (-2) = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "(7 + 4) * (-33 - (-31) + 0)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": -33, \"d\": -31, \"e\": 0}", "seed": "15945901475445441808", "semantic_fingerprint": "sha256:90cf9baa8fd32f9b6e4586620d7bae4fcd66abe755b1f22249536cd94ae24bc9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003102", "prompt": "Compute: -898 - (-74) / (-7 / (-40 + 333))", "solution_steps": ["Add: -40 + 333 = 293", "Divide: -7 / 293 = -7/293", "Divide: -74 / (-7/293) = 21682/7", "Subtract: -898 - 21682/7 = -27968/7"], "final_answer": "-27968/7", "answer_type": "rational", "kind": "expression", "math_text": "-898 - (-74) / (-7 / (-40 + 333))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -898, \"b\": -74, \"c\": -7, \"d\": -40, \"e\": 333}", "seed": "11344813936288917739", "semantic_fingerprint": "sha256:750a9f3fad791d8413fbb2d90c6d55d382df069c2435dac438dd2ca93367106f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003103", "prompt": "What is 50 - (6 + 872) / (-71)?", "solution_steps": ["Add: 6 + 872 = 878", "Divide: 878 / (-71) = -878/71", "Subtract: 50 - (-878/71) = 4428/71"], "final_answer": "4428/71", "answer_type": "rational", "kind": "expression", "math_text": "50 - (6 + 872) / (-71)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 6, \"c\": 872, \"d\": -71}", "seed": "10644660361199788130", "semantic_fingerprint": "sha256:f85d04e8d23260eccf7e5db80a7c180a86e014a06b17f38893e64ed926032034", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003104", "prompt": "Find x: -2(x - 88) + 169 = 5(x + 69)", "solution_steps": ["Expand: -2x + 176 + 169 = 5(x + 69)", "Expand: -2x + 176 + 169 = 5x + 345", "Combine constants: -2x + 345 = 5x + 345", "Subtract 5x from both sides: -7x + 345 = 345", "Subtract 345 from both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 88) + 169 = 5(x + 69)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 88, \"c\": 5, \"d\": 69, \"f\": 169, \"x\": 0}", "seed": "4135565419925052368", "semantic_fingerprint": "sha256:51f906fedfab6242b015da0ba316efe9c71ed1d3defabada7d6c63d22018f3f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003105", "prompt": "Find x: 12(x + 2) - 24 = x + 44", "solution_steps": ["Expand: 12x + 24 - 24 = x + 44", "Combine constants: 12x = x + 44", "Subtract x from both sides: 11x = 44", "Divide both sides by 11: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 2) - 24 = x + 44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 24, \"e\": 44, \"x\": 4}", "seed": "15587445119502858417", "semantic_fingerprint": "sha256:66653a5ca7c34421881e8d0f510332e368fc2a4db93a383012f54053a2fa36f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003106", "prompt": "Solve the equation -3(x - 6) + 46 = -10(x + 2) for x.", "solution_steps": ["Expand: -3x + 18 + 46 = -10(x + 2)", "Expand: -3x + 18 + 46 = -10x - 20", "Combine constants: -3x + 64 = -10x - 20", "Add 10x to both sides: 7x + 64 = -20", "Subtract 64 from both sides: 7x = -84", "Divide both sides by 7: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 6) + 46 = -10(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": -10, \"d\": 2, \"f\": 46, \"x\": -12}", "seed": "13264950767002345172", "semantic_fingerprint": "sha256:b8db871d74f8651af045b6c7ba72e8e42c56e0c13631d02d88fc13d0d9662445", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003107", "prompt": "Calculate: (8 * (-7) - (-407)) * (38 / (-3) - 51)", "solution_steps": ["Multiply: 8 * (-7) = -56", "Subtract: -56 - (-407) = 351", "Divide: 38 / (-3) = -38/3", "Subtract: -38/3 - 51 = -191/3", "Multiply: 351 * (-191/3) = -22347"], "final_answer": "-22347", "answer_type": "integer", "kind": "expression", "math_text": "(8 * (-7) - (-407)) * (38 / (-3) - 51)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -7, \"c\": -407, \"d\": 38, \"e\": -3, \"f\": 51}", "seed": "13704713618889430431", "semantic_fingerprint": "sha256:abf7133d1c8c7368137f0fbc3cb2b7df7842d97a083bcfe3b112828cd6da9123", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003108", "prompt": "Solve the equation 6(x - 5) - 6 = x + 19 for x.", "solution_steps": ["Expand: 6x - 30 - 6 = x + 19", "Combine constants: 6x - 36 = x + 19", "Subtract x from both sides: 5x - 36 = 19", "Add 36 to both sides: 5x = 55", "Divide both sides by 5: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) - 6 = x + 19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 6, \"e\": 19, \"x\": 11}", "seed": "17041505994845160292", "semantic_fingerprint": "sha256:634d5d841ae4b6e95a636b03ffdb623d7f6ba5619517069d430c1141d87efecf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003109", "prompt": "Compute: -918 / 964 * (-99 / 1)", "solution_steps": ["Divide: -918 / 964 = -459/482", "Divide: -99 / 1 = -99", "Multiply: (-459/482) * (-99) = 45441/482"], "final_answer": "45441/482", "answer_type": "rational", "kind": "expression", "math_text": "-918 / 964 * (-99 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -918, \"b\": 964, \"c\": -99, \"d\": 1}", "seed": "12428980100024659326", "semantic_fingerprint": "sha256:44b896b78456933d195b61e43a4ef80cc26df17d42bd8b0efdaf30b4066e24a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003110", "prompt": "Calculate: 28 * 3 + (-1) * (-5)", "solution_steps": ["Multiply: 28 * 3 = 84", "Multiply: -1 * (-5) = 5", "Add: 84 + 5 = 89"], "final_answer": "89", "answer_type": "integer", "kind": "expression", "math_text": "28 * 3 + (-1) * (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 3, \"c\": -1, \"d\": -5}", "seed": "14832820700703895229", "semantic_fingerprint": "sha256:ba64c9afcabbdf59470ba35b95dc884607bb0292520a7961644d911416d644a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003111", "prompt": "What value of x satisfies 9(x + 23) + 4 = x + 83?", "solution_steps": ["Expand: 9x + 207 + 4 = x + 83", "Combine constants: 9x + 211 = x + 83", "Subtract x from both sides: 8x + 211 = 83", "Subtract 211 from both sides: 8x = -128", "Divide both sides by 8: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 23) + 4 = x + 83", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 23, \"c\": 4, \"e\": 83, \"x\": -16}", "seed": "9443229743653292411", "semantic_fingerprint": "sha256:8591a725ffa0ce0ed0cb7b5d7377a8abbc711e5e285026d38f270b5f25f9f5d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003112", "prompt": "Calculate: -15 * 867 + (-11) + 0 / 7", "solution_steps": ["Multiply: -15 * 867 = -13005", "Add: -13005 + (-11) = -13016", "Divide: 0 / 7 = 0", "Add: -13016 + 0 = -13016"], "final_answer": "-13016", "answer_type": "integer", "kind": "expression", "math_text": "-15 * 867 + (-11) + 0 / 7", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 867, \"c\": -11, \"d\": 0, \"e\": 7}", "seed": "17580325598491744168", "semantic_fingerprint": "sha256:ef35975e2019d0f167967e7e63b682e1e2792fe6319ad018c8d7ed49cca41ac2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003113", "prompt": "Evaluate: 169 - (95 + 122) / 95", "solution_steps": ["Add: 95 + 122 = 217", "Divide: 217 / 95 = 217/95", "Subtract: 169 - 217/95 = 15838/95"], "final_answer": "15838/95", "answer_type": "rational", "kind": "expression", "math_text": "169 - (95 + 122) / 95", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 169, \"b\": 95, \"c\": 122, \"d\": 95}", "seed": "9438418115233435881", "semantic_fingerprint": "sha256:c8b1cde2f0de8f392c5d37812a593dadf1136e82dc953909c47c2788fcdc2412", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003114", "prompt": "Solve the equation 8(x + 78) + 2 = x + 577 for x.", "solution_steps": ["Expand: 8x + 624 + 2 = x + 577", "Combine constants: 8x + 626 = x + 577", "Subtract x from both sides: 7x + 626 = 577", "Subtract 626 from both sides: 7x = -49", "Divide both sides by 7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 78) + 2 = x + 577", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 78, \"c\": 2, \"e\": 577, \"x\": -7}", "seed": "16111144149940064853", "semantic_fingerprint": "sha256:46a83b4ff9689caac781ec0868c294ca9a70a6cc8017e474ab2b65b2b03eb345", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003115", "prompt": "Solve for x: -3x = 6(x + 438) + 345", "solution_steps": ["Expand: -3x = 6x + 2628 + 345", "Combine constants: -3x = 6x + 2973", "Subtract 6x from both sides: -9x = 2973", "Divide both sides by -9: x = -991/3"], "final_answer": "-991/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x = 6(x + 438) + 345", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 438, \"d\": 345}", "seed": "17647856350856559052", "semantic_fingerprint": "sha256:a813f519602864796ee2ba0a9af4c1ed59c4aa3cdf22e934fc22c26ac898a28b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003116", "prompt": "Calculate: (-734 / (-53) - (-216)) * 67", "solution_steps": ["Divide: -734 / (-53) = 734/53", "Subtract: 734/53 - (-216) = 12182/53", "Multiply: (12182/53) * 67 = 816194/53"], "final_answer": "816194/53", "answer_type": "rational", "kind": "expression", "math_text": "(-734 / (-53) - (-216)) * 67", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -734, \"b\": -53, \"c\": -216, \"d\": 67}", "seed": "7569350202147493056", "semantic_fingerprint": "sha256:5c2e2a07e0e1fd178b02b47e56117daf507478221aaa829ac12e89fe65a01544", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003117", "prompt": "Find x: -12(x + 63) - 780 = x + 329", "solution_steps": ["Expand: -12x - 756 - 780 = x + 329", "Combine constants: -12x - 1536 = x + 329", "Subtract x from both sides: -13x - 1536 = 329", "Add 1536 to both sides: -13x = 1865", "Divide both sides by -13: x = -1865/13"], "final_answer": "-1865/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 63) - 780 = x + 329", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 63, \"c\": 780, \"d\": 329}", "seed": "9527392969647809302", "semantic_fingerprint": "sha256:9c1feb28a521c9a9b1b8ae8e5687c273dc2edb3620d020ceef53423ca9286ecd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003118", "prompt": "Find x: 7(x + 67) = 2(x - 2) + 483", "solution_steps": ["Expand: 7x + 469 = 2(x - 2) + 483", "Expand: 7x + 469 = 2x - 4 + 483", "Combine constants: 7x + 469 = 2x + 479", "Subtract 2x from both sides: 5x + 469 = 479", "Subtract 469 from both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 67) = 2(x - 2) + 483", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 67, \"c\": 2, \"d\": 2, \"f\": 483, \"x\": 2}", "seed": "17846274520186738613", "semantic_fingerprint": "sha256:2c61c172c87726fa5042f51fe8d211273226bc4a7b6fcc4e069709f6c81f4e82", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003119", "prompt": "Solve for x: 5x - 209 = 11(x - 19)", "solution_steps": ["Expand: 5x - 209 = 11x - 209", "Subtract 11x from both sides: -6x - 209 = -209", "Add 209 to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 209 = 11(x - 19)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"c\": 19, \"e\": -209, \"x\": 0}", "seed": "14307742916574043250", "semantic_fingerprint": "sha256:676cfbb27a35d62ec8c220b25a1db3538209f055aaa64e1e88c691654c1f3c6b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003120", "prompt": "What value of x satisfies -7(x + 4) = 9(x - 30) + 98?", "solution_steps": ["Expand: -7x - 28 = 9(x - 30) + 98", "Expand: -7x - 28 = 9x - 270 + 98", "Combine constants: -7x - 28 = 9x - 172", "Subtract 9x from both sides: -16x - 28 = -172", "Add 28 to both sides: -16x = -144", "Divide both sides by -16: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 4) = 9(x - 30) + 98", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 9, \"d\": 30, \"f\": 98, \"x\": 9}", "seed": "16257372088451892909", "semantic_fingerprint": "sha256:c730ca6ba4546b0f213e88ea2b1333103a8747b1ac64d1120de84b0172d1c8f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003121", "prompt": "What value of x satisfies 9x - 9 = 8(x - 6)?", "solution_steps": ["Expand: 9x - 9 = 8x - 48", "Subtract 8x from both sides: x - 9 = -48", "Add 9 to both sides: x = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 9 = 8(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 8, \"d\": 6}", "seed": "16426187083225086817", "semantic_fingerprint": "sha256:3c594f3dbd61062fe30b28a257d23d0184e55435d20bded1c29eec563b8729df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003122", "prompt": "What value of x satisfies 10(x + 3) - 471 = x + 51?", "solution_steps": ["Expand: 10x + 30 - 471 = x + 51", "Combine constants: 10x - 441 = x + 51", "Subtract x from both sides: 9x - 441 = 51", "Add 441 to both sides: 9x = 492", "Divide both sides by 9: x = 164/3"], "final_answer": "164/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 3) - 471 = x + 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 471, \"d\": 51}", "seed": "15827021975159075537", "semantic_fingerprint": "sha256:064c4aa0a9f4168a1d5d804cb733a763ae8c43a3a6c7d14f7479b72d9320441f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003123", "prompt": "What is (9 + 77) / (-64 + (-3))?", "solution_steps": ["Add: 9 + 77 = 86", "Add: -64 + (-3) = -67", "Divide: 86 / (-67) = -86/67"], "final_answer": "-86/67", "answer_type": "rational", "kind": "expression", "math_text": "(9 + 77) / (-64 + (-3))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 77, \"c\": -64, \"d\": -3}", "seed": "7248791737249312710", "semantic_fingerprint": "sha256:f17ce523ae396e4b991a1fa884a6e881d315c5cf201117a1ab5fb570e9c5a0f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003124", "prompt": "What value of x satisfies 2x = 9(x + 3) + 84?", "solution_steps": ["Expand: 2x = 9x + 27 + 84", "Combine constants: 2x = 9x + 111", "Subtract 9x from both sides: -7x = 111", "Divide both sides by -7: x = -111/7"], "final_answer": "-111/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 9(x + 3) + 84", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 3, \"d\": 84}", "seed": "9974562829766856751", "semantic_fingerprint": "sha256:e89bf284435b087c26954a17d7fde5641273c332f697f8ef5011c5d6a7e38972", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003125", "prompt": "What value of x satisfies 6(x - 7) + 396 = 10(x + 39)?", "solution_steps": ["Expand: 6x - 42 + 396 = 10(x + 39)", "Expand: 6x - 42 + 396 = 10x + 390", "Combine constants: 6x + 354 = 10x + 390", "Subtract 10x from both sides: -4x + 354 = 390", "Subtract 354 from both sides: -4x = 36", "Divide both sides by -4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 7) + 396 = 10(x + 39)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 10, \"d\": 39, \"f\": 396, \"x\": -9}", "seed": "13221160369658059100", "semantic_fingerprint": "sha256:de6ee7e7505302864a9a0c801470cbc787903e688856ca1736c8c06065a536b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003126", "prompt": "Compute: 0 / (-635) + (88 + 5) + 39", "solution_steps": ["Divide: 0 / (-635) = 0", "Add: 88 + 5 = 93", "Add: 0 + 93 = 93", "Add: 93 + 39 = 132"], "final_answer": "132", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-635) + (88 + 5) + 39", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -635, \"c\": 88, \"d\": 5, \"e\": 39}", "seed": "3316809451380857287", "semantic_fingerprint": "sha256:abc85a72254c2e4004fb07a4da081ada677d725da0a2418fe0d025d8b071667b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003127", "prompt": "Solve the equation 3x - 42 = 6(x - 5) for x.", "solution_steps": ["Expand: 3x - 42 = 6x - 30", "Subtract 6x from both sides: -3x - 42 = -30", "Add 42 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 42 = 6(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 5, \"e\": -42, \"x\": -4}", "seed": "13357628952947037532", "semantic_fingerprint": "sha256:e5933141fdff9fc03253b082bfe4e608d4329e14aabf121781b415e66fd82002", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003128", "prompt": "Solve for x: -10(x - 563) - 26 = x + 6", "solution_steps": ["Expand: -10x + 5630 - 26 = x + 6", "Combine constants: -10x + 5604 = x + 6", "Subtract x from both sides: -11x + 5604 = 6", "Subtract 5604 from both sides: -11x = -5598", "Divide both sides by -11: x = 5598/11"], "final_answer": "5598/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 563) - 26 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 563, \"c\": 26, \"d\": 6}", "seed": "9074777241796031445", "semantic_fingerprint": "sha256:7c1f5de907cff27557f956c177d7b583096f7957bd94aa5f715d749166b7a1d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003129", "prompt": "Calculate: (948 / 8 - 478) * (0 + 4 - 402)", "solution_steps": ["Divide: 948 / 8 = 237/2", "Subtract: 237/2 - 478 = -719/2", "Add: 0 + 4 = 4", "Subtract: 4 - 402 = -398", "Multiply: (-719/2) * (-398) = 143081"], "final_answer": "143081", "answer_type": "integer", "kind": "expression", "math_text": "(948 / 8 - 478) * (0 + 4 - 402)", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 948, \"b\": 8, \"c\": 478, \"d\": 0, \"e\": 4, \"f\": 402}", "seed": "3178755495138383257", "semantic_fingerprint": "sha256:97abd30105f69b8a58749a65253f226cac80df259dc9e12df70965e6672f24b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003130", "prompt": "Compute: 35 * (-20) * 3 * (-37 + (-34)) - (-899)", "solution_steps": ["Multiply: 35 * (-20) = -700", "Multiply: -700 * 3 = -2100", "Add: -37 + (-34) = -71", "Multiply: -2100 * (-71) = 149100", "Subtract: 149100 - (-899) = 149999"], "final_answer": "149999", "answer_type": "integer", "kind": "expression", "math_text": "35 * (-20) * 3 * (-37 + (-34)) - (-899)", "variable": null, "family": "expression_5op", "shape": "(- (* (* (* n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -20, \"c\": 3, \"d\": -37, \"e\": -34, \"f\": -899}", "seed": "16354529991241993384", "semantic_fingerprint": "sha256:21025bd0588e63c9fc9f7bb5b95768a91e4b4b90511472dd37fca645a13baa47", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003131", "prompt": "Solve for x: 5x - 9 = 10x - 9", "solution_steps": ["Subtract 10x from both sides: -5x - 9 = -9", "Add 9 to both sides: -5x = 0", "Divide both sides by -5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 9 = 10x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 10, \"e\": -9, \"x\": 0}", "seed": "3233330267380247431", "semantic_fingerprint": "sha256:a1cfbb56f5a9df92c4e464cd4792ca75d57079d1f8ee0dcaaf99bafd478042eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003132", "prompt": "Find x: 8x = 10(x + 340) - 6", "solution_steps": ["Expand: 8x = 10x + 3400 - 6", "Combine constants: 8x = 10x + 3394", "Subtract 10x from both sides: -2x = 3394", "Divide both sides by -2: x = -1697"], "final_answer": "-1697", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 10(x + 340) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 10, \"c\": 340, \"d\": 6}", "seed": "14510306115591687416", "semantic_fingerprint": "sha256:87e9ed490bb6e3902c8dec7c76ad0b8bfcf9dc5509aaf6e64215f9e8fcf2d12d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003133", "prompt": "Solve for x: 4(x + 3) - 511 = x + 21", "solution_steps": ["Expand: 4x + 12 - 511 = x + 21", "Combine constants: 4x - 499 = x + 21", "Subtract x from both sides: 3x - 499 = 21", "Add 499 to both sides: 3x = 520", "Divide both sides by 3: x = 520/3"], "final_answer": "520/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 3) - 511 = x + 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 511, \"d\": 21}", "seed": "17582608044146194154", "semantic_fingerprint": "sha256:b1be143f04a5037bbe0cd3ddaafe616cef8082ed07f9f67a81ce4e49a90fd00b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003134", "prompt": "What is (-4 + 0) / (648 + (-95))?", "solution_steps": ["Add: -4 + 0 = -4", "Add: 648 + (-95) = 553", "Divide: -4 / 553 = -4/553"], "final_answer": "-4/553", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + 0) / (648 + (-95))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 0, \"c\": 648, \"d\": -95}", "seed": "9356890684968043099", "semantic_fingerprint": "sha256:94c4f87a57754027b1575a5cb8763e99990dcf51ab0dab2300d1a220dba343e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003135", "prompt": "What value of x satisfies -6(x + 34) - 141 = x + 786?", "solution_steps": ["Expand: -6x - 204 - 141 = x + 786", "Combine constants: -6x - 345 = x + 786", "Subtract x from both sides: -7x - 345 = 786", "Add 345 to both sides: -7x = 1131", "Divide both sides by -7: x = -1131/7"], "final_answer": "-1131/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 34) - 141 = x + 786", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 34, \"c\": 141, \"d\": 786}", "seed": "3330418290499419632", "semantic_fingerprint": "sha256:1a500999e60ec4dbd131b9fe7e5de18a49ad94f4bfe71375ab2559de5c024c2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003136", "prompt": "Find x: 12x = 9(x + 330) - 4", "solution_steps": ["Expand: 12x = 9x + 2970 - 4", "Combine constants: 12x = 9x + 2966", "Subtract 9x from both sides: 3x = 2966", "Divide both sides by 3: x = 2966/3"], "final_answer": "2966/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 9(x + 330) - 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 330, \"d\": 4}", "seed": "2467125828781046833", "semantic_fingerprint": "sha256:722af0418fe5a3b1465c2faed0a7fbeddcfd22ccb0fed81cf4277d8c6280a8c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003137", "prompt": "What value of x satisfies -2(x + 93) = -4(x - 44) + 1?", "solution_steps": ["Expand: -2x - 186 = -4(x - 44) + 1", "Expand: -2x - 186 = -4x + 176 + 1", "Combine constants: -2x - 186 = -4x + 177", "Add 4x to both sides: 2x - 186 = 177", "Add 186 to both sides: 2x = 363", "Divide both sides by 2: x = 363/2"], "final_answer": "363/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 93) = -4(x - 44) + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 93, \"c\": -4, \"d\": 44, \"e\": 1}", "seed": "12420253886090667311", "semantic_fingerprint": "sha256:f09c402a7c7c03e7735e5befb9c9c6064a08ff471abef2de8d3443ad3e9e416e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003138", "prompt": "Solve for x: 11(x - 4) + 52 = 8(x + 1)", "solution_steps": ["Expand: 11x - 44 + 52 = 8(x + 1)", "Expand: 11x - 44 + 52 = 8x + 8", "Combine constants: 11x + 8 = 8x + 8", "Subtract 8x from both sides: 3x + 8 = 8", "Subtract 8 from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 4) + 52 = 8(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 8, \"d\": 1, \"f\": 52, \"x\": 0}", "seed": "2804792713232943526", "semantic_fingerprint": "sha256:5855877aae4e0a736167912518072a52c97161d0ce2291da404e7816b5636812", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003139", "prompt": "Find x: -11(x - 2) - 582 = x + 69", "solution_steps": ["Expand: -11x + 22 - 582 = x + 69", "Combine constants: -11x - 560 = x + 69", "Subtract x from both sides: -12x - 560 = 69", "Add 560 to both sides: -12x = 629", "Divide both sides by -12: x = -629/12"], "final_answer": "-629/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 2) - 582 = x + 69", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"c\": 582, \"d\": 69}", "seed": "15407324644735845941", "semantic_fingerprint": "sha256:38d38cdf2ffbe76d0d6e18c765302582dcc30f72b07f5b61e59a4561e06572b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003140", "prompt": "What value of x satisfies 2x - 490 = 6(x - 79)?", "solution_steps": ["Expand: 2x - 490 = 6x - 474", "Subtract 6x from both sides: -4x - 490 = -474", "Add 490 to both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 490 = 6(x - 79)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 79, \"e\": -490, \"x\": -4}", "seed": "10838541211224075332", "semantic_fingerprint": "sha256:39d5817ae2a3afc3c4a5efc2981d2a5da93ae3c1de5d41bdb0c1ca684cb964f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003141", "prompt": "Calculate: (562 + 8 + 20 + 2) / (4 - (-78))", "solution_steps": ["Add: 562 + 8 = 570", "Add: 570 + 20 = 590", "Add: 590 + 2 = 592", "Subtract: 4 - (-78) = 82", "Divide: 592 / 82 = 296/41"], "final_answer": "296/41", "answer_type": "rational", "kind": "expression", "math_text": "(562 + 8 + 20 + 2) / (4 - (-78))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 562, \"b\": 8, \"c\": 20, \"d\": 2, \"e\": 4, \"f\": -78}", "seed": "12809010733054379847", "semantic_fingerprint": "sha256:e0cbef644f4c18e27dccbd919e243c752ea24c4c777e3422cc39ad79b2807bb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003142", "prompt": "Evaluate: 19 * (-8 * 40) * 3", "solution_steps": ["Multiply: -8 * 40 = -320", "Multiply: 19 * (-320) = -6080", "Multiply: -6080 * 3 = -18240"], "final_answer": "-18240", "answer_type": "integer", "kind": "expression", "math_text": "19 * (-8 * 40) * 3", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -8, \"c\": 40, \"d\": 3}", "seed": "488898847802784025", "semantic_fingerprint": "sha256:a71ad7f343b3d4cf9020c9887bdff283961b478aa376ed50e2a620da523aebdf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003143", "prompt": "What value of x satisfies -6x - 822 = -12(x - 71)?", "solution_steps": ["Expand: -6x - 822 = -12x + 852", "Add 12x to both sides: 6x - 822 = 852", "Add 822 to both sides: 6x = 1674", "Divide both sides by 6: x = 279"], "final_answer": "279", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 822 = -12(x - 71)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 822, \"c\": -12, \"d\": 71}", "seed": "13960586925211476176", "semantic_fingerprint": "sha256:b9684ebfa412a87f7a0f2d1ed47c50b050c56c30ab723aff0721846e16cf38ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003144", "prompt": "Solve the equation 10x - 505 = 7x - 508 for x.", "solution_steps": ["Subtract 7x from both sides: 3x - 505 = -508", "Add 505 to both sides: 3x = -3", "Divide both sides by 3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 505 = 7x - 508", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 505, \"c\": 7, \"e\": -508, \"x\": -1}", "seed": "13751766817307257691", "semantic_fingerprint": "sha256:6c465108bd990b14dfdd65bc97d568150931617ebd90e898c1d1cdac3814d5ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003145", "prompt": "Evaluate: 73 / (96 * (-10) / (91 - 1 / 5))", "solution_steps": ["Multiply: 96 * (-10) = -960", "Divide: 1 / 5 = 1/5", "Subtract: 91 - 1/5 = 454/5", "Divide: -960 / (454/5) = -2400/227", "Divide: 73 / (-2400/227) = -16571/2400"], "final_answer": "-16571/2400", "answer_type": "rational", "kind": "expression", "math_text": "73 / (96 * (-10) / (91 - 1 / 5))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (* n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 96, \"c\": -10, \"d\": 91, \"e\": 1, \"f\": 5}", "seed": "8802255437206226215", "semantic_fingerprint": "sha256:cea5e1ae217af66d7dd4308b288c7d99ef50f8ebd563f1f39c27b5d64f1df8ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003146", "prompt": "Solve the equation 11x - 700 = 8(x - 95) for x.", "solution_steps": ["Expand: 11x - 700 = 8x - 760", "Subtract 8x from both sides: 3x - 700 = -760", "Add 700 to both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 700 = 8(x - 95)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 95, \"e\": -700, \"x\": -20}", "seed": "14937526695846777123", "semantic_fingerprint": "sha256:7b6be902db40df319792132b3d79f36f16f41065d99df18bf1e2effdd5864ca5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003147", "prompt": "What is (-3 + (-18)) / 43 + (-93)?", "solution_steps": ["Add: -3 + (-18) = -21", "Divide: -21 / 43 = -21/43", "Add: -21/43 + (-93) = -4020/43"], "final_answer": "-4020/43", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + (-18)) / 43 + (-93)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -18, \"c\": 43, \"d\": -93}", "seed": "10981419131465732588", "semantic_fingerprint": "sha256:88e319d7a2e2551ff61edd21805ecde123f69eb59358998382eb9669368b0fe4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003148", "prompt": "Solve for x: 6(x - 66) + 328 = -8(x + 5)", "solution_steps": ["Expand: 6x - 396 + 328 = -8(x + 5)", "Expand: 6x - 396 + 328 = -8x - 40", "Combine constants: 6x - 68 = -8x - 40", "Add 8x to both sides: 14x - 68 = -40", "Add 68 to both sides: 14x = 28", "Divide both sides by 14: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 66) + 328 = -8(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 66, \"c\": -8, \"d\": 5, \"f\": 328, \"x\": 2}", "seed": "299913690997779549", "semantic_fingerprint": "sha256:b0ee764b81377e09484161c2a81223537f4c0ed359915af21f1397f846dbeab6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003149", "prompt": "Evaluate: -62 + (-3 - (0 + 0))", "solution_steps": ["Add: 0 + 0 = 0", "Subtract: -3 - 0 = -3", "Add: -62 + (-3) = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "-62 + (-3 - (0 + 0))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -3, \"c\": 0, \"d\": 0}", "seed": "11566827119617058693", "semantic_fingerprint": "sha256:2fb24755c058ac83d3d180dc4ee42278893a6cc743a62d953107ac2af246c788", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003150", "prompt": "Solve for x: 6x - 9 = 7x - 12", "solution_steps": ["Subtract 7x from both sides: -x - 9 = -12", "Add 9 to both sides: -x = -3", "Divide both sides by -1: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 9 = 7x - 12", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 7, \"e\": -12, \"x\": 3}", "seed": "2967999352971590112", "semantic_fingerprint": "sha256:b8621516b1f04108349af1c4e552dacd135cbbe8f9a359a874328def713d92d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003151", "prompt": "Compute: 95 * (-900) + 5 * (-568)", "solution_steps": ["Multiply: 95 * (-900) = -85500", "Multiply: 5 * (-568) = -2840", "Add: -85500 + (-2840) = -88340"], "final_answer": "-88340", "answer_type": "integer", "kind": "expression", "math_text": "95 * (-900) + 5 * (-568)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -900, \"c\": 5, \"d\": -568}", "seed": "6767372440961103493", "semantic_fingerprint": "sha256:2aa07f34a63afe3944aeba2db9f2968b57c0712d7dc6a92208522c0d4389953a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003152", "prompt": "What value of x satisfies 9x = 2(x + 51) - 102?", "solution_steps": ["Expand: 9x = 2x + 102 - 102", "Combine constants: 9x = 2x", "Subtract 2x from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 2(x + 51) - 102", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 51, \"e\": -102, \"x\": 0}", "seed": "1129200667062962295", "semantic_fingerprint": "sha256:1973f3063210b47c2de5eb661ccdc8e79da1cf28d21cafeb865c055dc082860d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003153", "prompt": "Evaluate: (-13 - (-8 + 8)) * (-8)", "solution_steps": ["Add: -8 + 8 = 0", "Subtract: -13 - 0 = -13", "Multiply: -13 * (-8) = 104"], "final_answer": "104", "answer_type": "integer", "kind": "expression", "math_text": "(-13 - (-8 + 8)) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -8, \"c\": 8, \"d\": -8}", "seed": "17379672598119924835", "semantic_fingerprint": "sha256:51f14cdd1d7b38f606bb60673f77634c351059e552db5aa18d3d7f6e0372c33d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003154", "prompt": "What is (-117 + 0 - (-54 - 39)) / (-11)?", "solution_steps": ["Add: -117 + 0 = -117", "Subtract: -54 - 39 = -93", "Subtract: -117 - (-93) = -24", "Divide: -24 / (-11) = 24/11"], "final_answer": "24/11", "answer_type": "rational", "kind": "expression", "math_text": "(-117 + 0 - (-54 - 39)) / (-11)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -117, \"b\": 0, \"c\": -54, \"d\": 39, \"e\": -11}", "seed": "6661150167160828692", "semantic_fingerprint": "sha256:11653f8c40a558a36411189f29de3a74802bff318e6d3aaf2538580b406481a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003155", "prompt": "Solve the equation -11x - 60 = 3(x - 62) for x.", "solution_steps": ["Expand: -11x - 60 = 3x - 186", "Subtract 3x from both sides: -14x - 60 = -186", "Add 60 to both sides: -14x = -126", "Divide both sides by -14: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 60 = 3(x - 62)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3, \"c\": 62, \"e\": -60, \"x\": 9}", "seed": "13420907404738600219", "semantic_fingerprint": "sha256:46bd3e5b1f4aa4862dc8b88f8159f27cd0a7a48194dccb2d25de4d831bda0ca9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003156", "prompt": "Evaluate: (-883 - 34 + 62) / (-233) * 954", "solution_steps": ["Subtract: -883 - 34 = -917", "Add: -917 + 62 = -855", "Divide: -855 / (-233) = 855/233", "Multiply: (855/233) * 954 = 815670/233"], "final_answer": "815670/233", "answer_type": "rational", "kind": "expression", "math_text": "(-883 - 34 + 62) / (-233) * 954", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -883, \"b\": 34, \"c\": 62, \"d\": -233, \"e\": 954}", "seed": "7368218663725056426", "semantic_fingerprint": "sha256:33e52c0e22c253c75befc9d25163ff460873eabee1bdc2e17da43a87764ef4f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003157", "prompt": "Find x: -5(x + 1) - 890 = x + 6", "solution_steps": ["Expand: -5x - 5 - 890 = x + 6", "Combine constants: -5x - 895 = x + 6", "Subtract x from both sides: -6x - 895 = 6", "Add 895 to both sides: -6x = 901", "Divide both sides by -6: x = -901/6"], "final_answer": "-901/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 1) - 890 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 890, \"d\": 6}", "seed": "8850617437845974533", "semantic_fingerprint": "sha256:0c0bffcbeb8a41d326fa7df7ad23a5e1d64cb28f2e8fa0eae50e4cd6b5fd4d60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003158", "prompt": "Evaluate: -286 * (-3 * 0) + (-284)", "solution_steps": ["Multiply: -3 * 0 = 0", "Multiply: -286 * 0 = 0", "Add: 0 + (-284) = -284"], "final_answer": "-284", "answer_type": "integer", "kind": "expression", "math_text": "-286 * (-3 * 0) + (-284)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -286, \"b\": -3, \"c\": 0, \"d\": -284}", "seed": "14890762670246429835", "semantic_fingerprint": "sha256:40bd1117b56f8b1a9d0dee7f6f675c2c2a303f94636e9c2b52be39e1341e8039", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003159", "prompt": "Evaluate: (49 - 7 * (-4)) / 383", "solution_steps": ["Multiply: 7 * (-4) = -28", "Subtract: 49 - (-28) = 77", "Divide: 77 / 383 = 77/383"], "final_answer": "77/383", "answer_type": "rational", "kind": "expression", "math_text": "(49 - 7 * (-4)) / 383", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 7, \"c\": -4, \"d\": 383}", "seed": "7314643584222344895", "semantic_fingerprint": "sha256:4128d5492cb4d31ed5f5adf104c2f3aa65eae5dbc99d2b35e6d8efaf406d8c60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003160", "prompt": "Solve the equation -12x - 90 = 3(x - 75) for x.", "solution_steps": ["Expand: -12x - 90 = 3x - 225", "Subtract 3x from both sides: -15x - 90 = -225", "Add 90 to both sides: -15x = -135", "Divide both sides by -15: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 90 = 3(x - 75)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 75, \"e\": -90, \"x\": 9}", "seed": "18038643064441073997", "semantic_fingerprint": "sha256:d8621778500aed6bc5aa6f4b48a730e137685993146e2fbcb5c92edcb19d4bfb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003161", "prompt": "Find x: 9(x + 58) = 10(x - 5) + 6", "solution_steps": ["Expand: 9x + 522 = 10(x - 5) + 6", "Expand: 9x + 522 = 10x - 50 + 6", "Combine constants: 9x + 522 = 10x - 44", "Subtract 10x from both sides: -x + 522 = -44", "Subtract 522 from both sides: -x = -566", "Divide both sides by -1: x = 566"], "final_answer": "566", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 58) = 10(x - 5) + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 58, \"c\": 10, \"d\": 5, \"e\": 6}", "seed": "13731087960402017270", "semantic_fingerprint": "sha256:64fe3186bcfc5fcfabe5b07f2daa3b79a903bec70b30e2f48a6a2be4d3639b24", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003162", "prompt": "What value of x satisfies 8x - 180 = 10x - 212?", "solution_steps": ["Subtract 10x from both sides: -2x - 180 = -212", "Add 180 to both sides: -2x = -32", "Divide both sides by -2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 180 = 10x - 212", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 180, \"c\": 10, \"e\": -212, \"x\": 16}", "seed": "8732628329874399025", "semantic_fingerprint": "sha256:6060ba330bcdab8cc89d18dffb602dc477a5d2942017c8b9b583b6091db908cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003163", "prompt": "Calculate: -3 * 353 - (619 + (-4)) - (-25)", "solution_steps": ["Multiply: -3 * 353 = -1059", "Add: 619 + (-4) = 615", "Subtract: -1059 - 615 = -1674", "Subtract: -1674 - (-25) = -1649"], "final_answer": "-1649", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 353 - (619 + (-4)) - (-25)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 353, \"c\": 619, \"d\": -4, \"e\": -25}", "seed": "3996591630444455854", "semantic_fingerprint": "sha256:549db00bca46a7889c628d5846d873960907156257c90b054bc6dff747795f7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003164", "prompt": "Compute: 1 * 869 + 12 * 652", "solution_steps": ["Multiply: 1 * 869 = 869", "Multiply: 12 * 652 = 7824", "Add: 869 + 7824 = 8693"], "final_answer": "8693", "answer_type": "integer", "kind": "expression", "math_text": "1 * 869 + 12 * 652", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 869, \"c\": 12, \"d\": 652}", "seed": "51856399677271639", "semantic_fingerprint": "sha256:05f1455b9efce417e37f7f4d708618b3a2a47e1da9a828f4d98ef3d950ec3e81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003165", "prompt": "What value of x satisfies 4x = 10(x + 996) - 6?", "solution_steps": ["Expand: 4x = 10x + 9960 - 6", "Combine constants: 4x = 10x + 9954", "Subtract 10x from both sides: -6x = 9954", "Divide both sides by -6: x = -1659"], "final_answer": "-1659", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 10(x + 996) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 10, \"c\": 996, \"d\": 6}", "seed": "8262589163190771438", "semantic_fingerprint": "sha256:aa934caea0ff8841ef15c049e2826cddcc5713a8098c0b8911eed3306897fccb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003166", "prompt": "Solve the equation 11(x - 442) - 75 = x + 7 for x.", "solution_steps": ["Expand: 11x - 4862 - 75 = x + 7", "Combine constants: 11x - 4937 = x + 7", "Subtract x from both sides: 10x - 4937 = 7", "Add 4937 to both sides: 10x = 4944", "Divide both sides by 10: x = 2472/5"], "final_answer": "2472/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 442) - 75 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 442, \"c\": 75, \"d\": 7}", "seed": "12826120858334168748", "semantic_fingerprint": "sha256:e5011e6d622027b61bb68a750e7b8d9ea578feb0e4ca2b9cb12f74804549656e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003167", "prompt": "Compute: 0 * 9 + (-87 - (-46) - (-5))", "solution_steps": ["Multiply: 0 * 9 = 0", "Subtract: -87 - (-46) = -41", "Subtract: -41 - (-5) = -36", "Add: 0 + (-36) = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "expression", "math_text": "0 * 9 + (-87 - (-46) - (-5))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": -87, \"d\": -46, \"e\": -5}", "seed": "4051798402726575702", "semantic_fingerprint": "sha256:7c51b20f0914921a18c3b6bd1a1fc5e3fee6d47f3012aa4396b542153b10510a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003168", "prompt": "Evaluate: (357 - 2 * 9) / (-887)", "solution_steps": ["Multiply: 2 * 9 = 18", "Subtract: 357 - 18 = 339", "Divide: 339 / (-887) = -339/887"], "final_answer": "-339/887", "answer_type": "rational", "kind": "expression", "math_text": "(357 - 2 * 9) / (-887)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 357, \"b\": 2, \"c\": 9, \"d\": -887}", "seed": "749742985948610144", "semantic_fingerprint": "sha256:78e418aba0434fbf3af6429732446e7ced697714d450e6ea59b0dae406ce1c13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003169", "prompt": "What value of x satisfies -5(x - 4) - 58 = x + 58?", "solution_steps": ["Expand: -5x + 20 - 58 = x + 58", "Combine constants: -5x - 38 = x + 58", "Subtract x from both sides: -6x - 38 = 58", "Add 38 to both sides: -6x = 96", "Divide both sides by -6: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 4) - 58 = x + 58", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 58, \"e\": 58, \"x\": -16}", "seed": "1649446137282041343", "semantic_fingerprint": "sha256:63969cf70aa28d1ee5f76540f01911e08ff553000e79f3fb07ccf8cf274ab0c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003170", "prompt": "Solve for x: -2x - 72 = 2(x - 34)", "solution_steps": ["Expand: -2x - 72 = 2x - 68", "Subtract 2x from both sides: -4x - 72 = -68", "Add 72 to both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 72 = 2(x - 34)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 34, \"e\": -72, \"x\": -1}", "seed": "17970587506217127347", "semantic_fingerprint": "sha256:2ffc9e41ddac7b570b27f6b833a714c673979649ff81d1e418b0c1a480dece83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003171", "prompt": "Find x: 9x - 497 = 10x - 92", "solution_steps": ["Subtract 10x from both sides: -x - 497 = -92", "Add 497 to both sides: -x = 405", "Divide both sides by -1: x = -405"], "final_answer": "-405", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 497 = 10x - 92", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 497, \"c\": 10, \"d\": 92}", "seed": "15083159263783683889", "semantic_fingerprint": "sha256:b843c41a85943c036adc1bdc985a829cf550c1cfa09566e2786f6e92c67db63b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003172", "prompt": "What is -98 - (-6) / 3 + 2 / (-37)?", "solution_steps": ["Divide: -6 / 3 = -2", "Subtract: -98 - (-2) = -96", "Divide: 2 / (-37) = -2/37", "Add: -96 + (-2/37) = -3554/37"], "final_answer": "-3554/37", "answer_type": "rational", "kind": "expression", "math_text": "-98 - (-6) / 3 + 2 / (-37)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -6, \"c\": 3, \"d\": 2, \"e\": -37}", "seed": "1042502757910414220", "semantic_fingerprint": "sha256:7a681db70e389412bb2d29120610297b13b33c904cb9381da19c8ac0281d5193", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003173", "prompt": "Calculate: 587 + (-5) - (-86 - 32 + 83 / 919)", "solution_steps": ["Add: 587 + (-5) = 582", "Subtract: -86 - 32 = -118", "Divide: 83 / 919 = 83/919", "Add: -118 + 83/919 = -108359/919", "Subtract: 582 - (-108359/919) = 643217/919"], "final_answer": "643217/919", "answer_type": "rational", "kind": "expression", "math_text": "587 + (-5) - (-86 - 32 + 83 / 919)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 587, \"b\": -5, \"c\": -86, \"d\": 32, \"e\": 83, \"f\": 919}", "seed": "7907797705734951298", "semantic_fingerprint": "sha256:76dcd0fb390958eb71ec47b3d8c6bf99b5703421a9ca5a0ccc67af40814848b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003174", "prompt": "Solve the equation 5(x - 7) + 279 = 6(x + 44) for x.", "solution_steps": ["Expand: 5x - 35 + 279 = 6(x + 44)", "Expand: 5x - 35 + 279 = 6x + 264", "Combine constants: 5x + 244 = 6x + 264", "Subtract 6x from both sides: -x + 244 = 264", "Subtract 244 from both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 7) + 279 = 6(x + 44)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 6, \"d\": 44, \"f\": 279, \"x\": -20}", "seed": "11414438276605587031", "semantic_fingerprint": "sha256:577600e613cbd5f681c84eeabf233acc6db2ee73d51538c89c34a1692a7d6d50", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003175", "prompt": "Find x: 5x = 4(x + 24) + 826", "solution_steps": ["Expand: 5x = 4x + 96 + 826", "Combine constants: 5x = 4x + 922", "Subtract 4x from both sides: x = 922"], "final_answer": "922", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 4(x + 24) + 826", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 24, \"d\": 826}", "seed": "3582150975121442149", "semantic_fingerprint": "sha256:d5ed1c663af93a65ea6488d216927e6f0f19f42fc236e502327242e433d3c237", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003176", "prompt": "What is -333 - 670 * (37 / (-7))?", "solution_steps": ["Divide: 37 / (-7) = -37/7", "Multiply: 670 * (-37/7) = -24790/7", "Subtract: -333 - (-24790/7) = 22459/7"], "final_answer": "22459/7", "answer_type": "rational", "kind": "expression", "math_text": "-333 - 670 * (37 / (-7))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -333, \"b\": 670, \"c\": 37, \"d\": -7}", "seed": "7687071439561078366", "semantic_fingerprint": "sha256:378851f9f4c8de374fbe18dd4e7a89ac8d4c5bffb875f4c097d82855d80c4526", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003177", "prompt": "What value of x satisfies -4x = -5(x + 9) + 64?", "solution_steps": ["Expand: -4x = -5x - 45 + 64", "Combine constants: -4x = -5x + 19", "Add 5x to both sides: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = -5(x + 9) + 64", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -5, \"c\": 9, \"e\": 64, \"x\": 19}", "seed": "14238486744185478473", "semantic_fingerprint": "sha256:fbd2d6eb4305da2eeb9fc09d28a1cd1a6344fd4a4c173c09666754d59a1786f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003178", "prompt": "Evaluate: (-788 - 47) / 2 / (80 * 9)", "solution_steps": ["Subtract: -788 - 47 = -835", "Divide: -835 / 2 = -835/2", "Multiply: 80 * 9 = 720", "Divide: (-835/2) / 720 = -167/288"], "final_answer": "-167/288", "answer_type": "rational", "kind": "expression", "math_text": "(-788 - 47) / 2 / (80 * 9)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -788, \"b\": 47, \"c\": 2, \"d\": 80, \"e\": 9}", "seed": "5778682186075765397", "semantic_fingerprint": "sha256:d65a372dd020f45d5a085a19353d75da97efc23258734da79228dbed2159332f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003179", "prompt": "Compute: -6 * (-342) * (10 / (-77))", "solution_steps": ["Multiply: -6 * (-342) = 2052", "Divide: 10 / (-77) = -10/77", "Multiply: 2052 * (-10/77) = -20520/77"], "final_answer": "-20520/77", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-342) * (10 / (-77))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -342, \"c\": 10, \"d\": -77}", "seed": "11551831214134132443", "semantic_fingerprint": "sha256:0ff260a9d055d57769c03d5523a3434796cbd736ba7152258562843e343be78e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003180", "prompt": "Solve the equation 10x - 9 = 5x - 99 for x.", "solution_steps": ["Subtract 5x from both sides: 5x - 9 = -99", "Add 9 to both sides: 5x = -90", "Divide both sides by 5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 9 = 5x - 99", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 5, \"e\": -99, \"x\": -18}", "seed": "8027476003592025848", "semantic_fingerprint": "sha256:236606127159e0e31a8e029606be5418fdc058b41b610204743a5f9f737a5e61", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003181", "prompt": "Find x: -9x = -7(x + 84) + 608", "solution_steps": ["Expand: -9x = -7x - 588 + 608", "Combine constants: -9x = -7x + 20", "Add 7x to both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -7(x + 84) + 608", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": 84, \"e\": 608, \"x\": -10}", "seed": "1960445113291416516", "semantic_fingerprint": "sha256:cee0878f3701b9e3af4b388c0d26ab5ef4bbd71f7d00825a4480a6a6b46c3657", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003182", "prompt": "Compute: -25 / (-784) * (80 + 102 + 27)", "solution_steps": ["Divide: -25 / (-784) = 25/784", "Add: 80 + 102 = 182", "Add: 182 + 27 = 209", "Multiply: (25/784) * 209 = 5225/784"], "final_answer": "5225/784", "answer_type": "rational", "kind": "expression", "math_text": "-25 / (-784) * (80 + 102 + 27)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -784, \"c\": 80, \"d\": 102, \"e\": 27}", "seed": "146030173630611989", "semantic_fingerprint": "sha256:c00572fc6ebe5b3a52ffd0c95ec0405b917fc1ca1a1696e1f3c9c7b2efce4219", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003183", "prompt": "What is (-2 / 580 - 10) * (-8 / (-28))?", "solution_steps": ["Divide: -2 / 580 = -1/290", "Subtract: -1/290 - 10 = -2901/290", "Divide: -8 / (-28) = 2/7", "Multiply: (-2901/290) * (2/7) = -2901/1015"], "final_answer": "-2901/1015", "answer_type": "rational", "kind": "expression", "math_text": "(-2 / 580 - 10) * (-8 / (-28))", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 580, \"c\": 10, \"d\": -8, \"e\": -28}", "seed": "11749608506355034765", "semantic_fingerprint": "sha256:d790ee6b90f69c9288a80e81c041febb318221fca79b3de6a62d6901fa231b27", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003184", "prompt": "Evaluate: 0 / (-367) * (-46) - (-322) * 213", "solution_steps": ["Divide: 0 / (-367) = 0", "Multiply: 0 * (-46) = 0", "Multiply: -322 * 213 = -68586", "Subtract: 0 - (-68586) = 68586"], "final_answer": "68586", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-367) * (-46) - (-322) * 213", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -367, \"c\": -46, \"d\": -322, \"e\": 213}", "seed": "13477688995920114201", "semantic_fingerprint": "sha256:ea50b0e3d23967215d565ec431f1d16dd11b1c9d53538c94da8f2e1e7866eef2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003185", "prompt": "Solve the equation 5x - 178 = 3(x - 60) for x.", "solution_steps": ["Expand: 5x - 178 = 3x - 180", "Subtract 3x from both sides: 2x - 178 = -180", "Add 178 to both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 178 = 3(x - 60)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 60, \"e\": -178, \"x\": -1}", "seed": "9201363360253879068", "semantic_fingerprint": "sha256:1c3840f7fa94fa82275c185b07dc9bfdb522b1003e433d89c8254f875c2a83a4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003186", "prompt": "Evaluate: -42 * (-7) - (57 - (1 + 2 - 5))", "solution_steps": ["Multiply: -42 * (-7) = 294", "Add: 1 + 2 = 3", "Subtract: 3 - 5 = -2", "Subtract: 57 - (-2) = 59", "Subtract: 294 - 59 = 235"], "final_answer": "235", "answer_type": "integer", "kind": "expression", "math_text": "-42 * (-7) - (57 - (1 + 2 - 5))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- n (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -7, \"c\": 57, \"d\": 1, \"e\": 2, \"f\": 5}", "seed": "13125146969549269739", "semantic_fingerprint": "sha256:57db8d698b70987c71b88d1be93000864c31522016368105bccc35431c6a1a48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003187", "prompt": "Calculate: 39 * 60 * (54 / 8)", "solution_steps": ["Multiply: 39 * 60 = 2340", "Divide: 54 / 8 = 27/4", "Multiply: 2340 * (27/4) = 15795"], "final_answer": "15795", "answer_type": "integer", "kind": "expression", "math_text": "39 * 60 * (54 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 60, \"c\": 54, \"d\": 8}", "seed": "8112023365538258412", "semantic_fingerprint": "sha256:b928864b1059326a9c2518a27796fe44e70026b8ea99ad3e2e6b7bf032b4e044", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003188", "prompt": "What is ((31 / (-186) + (-3)) * (-69) - (-10)) / (-48)?", "solution_steps": ["Divide: 31 / (-186) = -1/6", "Add: -1/6 + (-3) = -19/6", "Multiply: (-19/6) * (-69) = 437/2", "Subtract: 437/2 - (-10) = 457/2", "Divide: (457/2) / (-48) = -457/96"], "final_answer": "-457/96", "answer_type": "rational", "kind": "expression", "math_text": "((31 / (-186) + (-3)) * (-69) - (-10)) / (-48)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* (+ (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -186, \"c\": -3, \"d\": -69, \"e\": -10, \"f\": -48}", "seed": "13604120705785323303", "semantic_fingerprint": "sha256:cc89e220bd16dc2e904120b1350d5ec4439de6fd15c27958c32b2e7e07aa3b43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003189", "prompt": "Find x: 11x = 12(x + 3) - 51", "solution_steps": ["Expand: 11x = 12x + 36 - 51", "Combine constants: 11x = 12x - 15", "Subtract 12x from both sides: -x = -15", "Divide both sides by -1: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 12(x + 3) - 51", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 12, \"c\": 3, \"e\": -51, \"x\": 15}", "seed": "1444024567354947801", "semantic_fingerprint": "sha256:30e98266c522c95a723ca9ff6f8f91b014a7aec9990decbc07fcbefb23c759d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003190", "prompt": "Compute: (30 + (-928)) / (312 + (-963))", "solution_steps": ["Add: 30 + (-928) = -898", "Add: 312 + (-963) = -651", "Divide: -898 / (-651) = 898/651"], "final_answer": "898/651", "answer_type": "rational", "kind": "expression", "math_text": "(30 + (-928)) / (312 + (-963))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -928, \"c\": 312, \"d\": -963}", "seed": "8005182270407315801", "semantic_fingerprint": "sha256:b1c96f089fd95a436ab43c3cc219209cd0b37b2f9349bac88ba1c5db65fce3f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003191", "prompt": "Solve the equation 6x - 6 = 10x - 14 for x.", "solution_steps": ["Subtract 10x from both sides: -4x - 6 = -14", "Add 6 to both sides: -4x = -8", "Divide both sides by -4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 6 = 10x - 14", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 10, \"e\": -14, \"x\": 2}", "seed": "13179798042014319390", "semantic_fingerprint": "sha256:667bbcca9a98f6493dc071776d34e8bab034d7f8007d45b7474feab55930e4aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003192", "prompt": "What is 34 / (-791) * (74 - (-76) - 2)?", "solution_steps": ["Divide: 34 / (-791) = -34/791", "Subtract: 74 - (-76) = 150", "Subtract: 150 - 2 = 148", "Multiply: (-34/791) * 148 = -5032/791"], "final_answer": "-5032/791", "answer_type": "rational", "kind": "expression", "math_text": "34 / (-791) * (74 - (-76) - 2)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -791, \"c\": 74, \"d\": -76, \"e\": 2}", "seed": "17713602838836606208", "semantic_fingerprint": "sha256:65e5e7fdb3927b4beb95c91809ec148657b2734eaa5805c0186ab78af9c99f80", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003193", "prompt": "Solve for x: 11(x - 7) + 809 = 3(x + 1)", "solution_steps": ["Expand: 11x - 77 + 809 = 3(x + 1)", "Expand: 11x - 77 + 809 = 3x + 3", "Combine constants: 11x + 732 = 3x + 3", "Subtract 3x from both sides: 8x + 732 = 3", "Subtract 732 from both sides: 8x = -729", "Divide both sides by 8: x = -729/8"], "final_answer": "-729/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 7) + 809 = 3(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 809, \"d\": 3, \"e\": 1}", "seed": "5044843337789834792", "semantic_fingerprint": "sha256:33cfa3cb729c8e50b844e5bea3655025942247f4c6c5df7a9c64fd0cfe95dfc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003194", "prompt": "Evaluate: 42 / (1 * (224 + (-54)))", "solution_steps": ["Add: 224 + (-54) = 170", "Multiply: 1 * 170 = 170", "Divide: 42 / 170 = 21/85"], "final_answer": "21/85", "answer_type": "rational", "kind": "expression", "math_text": "42 / (1 * (224 + (-54)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 1, \"c\": 224, \"d\": -54}", "seed": "257967215414659753", "semantic_fingerprint": "sha256:7576f1c3cfb911cd6444a4c6921c3378c27bb7b217ccd18fb982ac4d5bc26507", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003195", "prompt": "Compute: 6 / (31 * 15 + (43 - 92))", "solution_steps": ["Multiply: 31 * 15 = 465", "Subtract: 43 - 92 = -49", "Add: 465 + (-49) = 416", "Divide: 6 / 416 = 3/208"], "final_answer": "3/208", "answer_type": "rational", "kind": "expression", "math_text": "6 / (31 * 15 + (43 - 92))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 31, \"c\": 15, \"d\": 43, \"e\": 92}", "seed": "4240457210680083620", "semantic_fingerprint": "sha256:c10f6b2644bd145da776df58cf1afdb36a8c15598a2d21080dcc56f6c458b952", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003196", "prompt": "Compute: (-7 + (-5)) / (-26 + (-8))", "solution_steps": ["Add: -7 + (-5) = -12", "Add: -26 + (-8) = -34", "Divide: -12 / (-34) = 6/17"], "final_answer": "6/17", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + (-5)) / (-26 + (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -5, \"c\": -26, \"d\": -8}", "seed": "3367772518961594117", "semantic_fingerprint": "sha256:f87b9ddcf7cbdec6f670293350fe5d41a5f35e96042f824bf2863ae4f9c4ce25", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003197", "prompt": "Calculate: 6 / (-7 / (-817)) * 9 / 23", "solution_steps": ["Divide: -7 / (-817) = 7/817", "Divide: 6 / (7/817) = 4902/7", "Multiply: (4902/7) * 9 = 44118/7", "Divide: (44118/7) / 23 = 44118/161"], "final_answer": "44118/161", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-7 / (-817)) * 9 / 23", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": -817, \"d\": 9, \"e\": 23}", "seed": "4710508222075488408", "semantic_fingerprint": "sha256:7f3e01b3fd43b46f72b9efe6c772ee0aabeb19b708edde8077937c8cab4a6a32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003198", "prompt": "Evaluate: -320 * 5 + 9 * (-3)", "solution_steps": ["Multiply: -320 * 5 = -1600", "Multiply: 9 * (-3) = -27", "Add: -1600 + (-27) = -1627"], "final_answer": "-1627", "answer_type": "integer", "kind": "expression", "math_text": "-320 * 5 + 9 * (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -320, \"b\": 5, \"c\": 9, \"d\": -3}", "seed": "6090268392440649047", "semantic_fingerprint": "sha256:3e27d71f0bcec30dea33f514eb3bccf75ec04b9f83b3a1167ba9fdeba36b6a71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003199", "prompt": "Calculate: -150 + (-84 * (800 + (-26)) + (-893))", "solution_steps": ["Add: 800 + (-26) = 774", "Multiply: -84 * 774 = -65016", "Add: -65016 + (-893) = -65909", "Add: -150 + (-65909) = -66059"], "final_answer": "-66059", "answer_type": "integer", "kind": "expression", "math_text": "-150 + (-84 * (800 + (-26)) + (-893))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -150, \"b\": -84, \"c\": 800, \"d\": -26, \"e\": -893}", "seed": "9671607505008156959", "semantic_fingerprint": "sha256:43bdbd7eb3b1d35ea43c02d93c4b481a1c306f8d268e6f80e9a8918b988dd61a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003200", "prompt": "Solve the equation 8x = 4(x + 2) - 12 for x.", "solution_steps": ["Expand: 8x = 4x + 8 - 12", "Combine constants: 8x = 4x - 4", "Subtract 4x from both sides: 4x = -4", "Divide both sides by 4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 4(x + 2) - 12", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 2, \"e\": -12, \"x\": -1}", "seed": "425539676360842233", "semantic_fingerprint": "sha256:db4aa4b7c7be583080d0db03d79f53b1e941029d58d93f446e5a7a0c70358c32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003201", "prompt": "Calculate: 7 - (296 / 8 - (-66) - (0 + (-8)))", "solution_steps": ["Divide: 296 / 8 = 37", "Subtract: 37 - (-66) = 103", "Add: 0 + (-8) = -8", "Subtract: 103 - (-8) = 111", "Subtract: 7 - 111 = -104"], "final_answer": "-104", "answer_type": "integer", "kind": "expression", "math_text": "7 - (296 / 8 - (-66) - (0 + (-8)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (- (/ n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 296, \"c\": 8, \"d\": -66, \"e\": 0, \"f\": -8}", "seed": "12368622162851513072", "semantic_fingerprint": "sha256:645a275754610e19e3610d1f8c2253192db18844997d434366585e822874aa0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003202", "prompt": "What value of x satisfies 4x - 327 = 7(x - 45)?", "solution_steps": ["Expand: 4x - 327 = 7x - 315", "Subtract 7x from both sides: -3x - 327 = -315", "Add 327 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 327 = 7(x - 45)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 45, \"e\": -327, \"x\": -4}", "seed": "2734567173806045479", "semantic_fingerprint": "sha256:364f2634553e0f945158360caf271908bd3cf2bd96c915ca06821c32f1a1d687", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003203", "prompt": "What value of x satisfies -6(x - 27) + 4 = 4(x + 44)?", "solution_steps": ["Expand: -6x + 162 + 4 = 4(x + 44)", "Expand: -6x + 162 + 4 = 4x + 176", "Combine constants: -6x + 166 = 4x + 176", "Subtract 4x from both sides: -10x + 166 = 176", "Subtract 166 from both sides: -10x = 10", "Divide both sides by -10: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 27) + 4 = 4(x + 44)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 27, \"c\": 4, \"d\": 44, \"f\": 4, \"x\": -1}", "seed": "9854597678293355817", "semantic_fingerprint": "sha256:876d5d24481238c533cefcec16ef43638227e5efab0207fe5572f24e5d464ff6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003204", "prompt": "Solve for x: 12(x + 4) + 2 = x + 226", "solution_steps": ["Expand: 12x + 48 + 2 = x + 226", "Combine constants: 12x + 50 = x + 226", "Subtract x from both sides: 11x + 50 = 226", "Subtract 50 from both sides: 11x = 176", "Divide both sides by 11: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 4) + 2 = x + 226", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 2, \"e\": 226, \"x\": 16}", "seed": "13481226858839429581", "semantic_fingerprint": "sha256:1cf694c49b3d7024dc151b83538cab0d12c050f9d40f018224f285ba8110a1ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003205", "prompt": "Find x: -2(x - 20) + 318 = 6(x + 77)", "solution_steps": ["Expand: -2x + 40 + 318 = 6(x + 77)", "Expand: -2x + 40 + 318 = 6x + 462", "Combine constants: -2x + 358 = 6x + 462", "Subtract 6x from both sides: -8x + 358 = 462", "Subtract 358 from both sides: -8x = 104", "Divide both sides by -8: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 20) + 318 = 6(x + 77)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 20, \"c\": 6, \"d\": 77, \"f\": 318, \"x\": -13}", "seed": "6107113848064690653", "semantic_fingerprint": "sha256:b722cf6b316657bac5a8188ccdf0b2e61ee200ef855dcc8f716cf68c5ad114b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003206", "prompt": "Evaluate: 70 * (-40 - (194 + 0) + 0)", "solution_steps": ["Add: 194 + 0 = 194", "Subtract: -40 - 194 = -234", "Add: -234 + 0 = -234", "Multiply: 70 * (-234) = -16380"], "final_answer": "-16380", "answer_type": "integer", "kind": "expression", "math_text": "70 * (-40 - (194 + 0) + 0)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -40, \"c\": 194, \"d\": 0, \"e\": 0}", "seed": "11646649494275815192", "semantic_fingerprint": "sha256:c6105ae2ee9d952e49a3703d89707dfdf763cd26e083c6e4212228b58fe14257", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003207", "prompt": "Calculate: -51 / (-68 * (-3 + (-3)))", "solution_steps": ["Add: -3 + (-3) = -6", "Multiply: -68 * (-6) = 408", "Divide: -51 / 408 = -1/8"], "final_answer": "-1/8", "answer_type": "rational", "kind": "expression", "math_text": "-51 / (-68 * (-3 + (-3)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -68, \"c\": -3, \"d\": -3}", "seed": "4359561441752481857", "semantic_fingerprint": "sha256:6fc48a6154a3f97966bb9ba7803688c9b23835f1497e54dc1e73197179475cd4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003208", "prompt": "What value of x satisfies -12(x - 88) - 417 = x + 808?", "solution_steps": ["Expand: -12x + 1056 - 417 = x + 808", "Combine constants: -12x + 639 = x + 808", "Subtract x from both sides: -13x + 639 = 808", "Subtract 639 from both sides: -13x = 169", "Divide both sides by -13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 88) - 417 = x + 808", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 88, \"c\": 417, \"e\": 808, \"x\": -13}", "seed": "7573850215633145009", "semantic_fingerprint": "sha256:0c9fce58ee5a54c6bf41e8703e3eaa121ad1d5bbf82c4de3ec515014aceb47cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003209", "prompt": "Compute: (82 + 16 - (949 - 0)) / (-58)", "solution_steps": ["Add: 82 + 16 = 98", "Subtract: 949 - 0 = 949", "Subtract: 98 - 949 = -851", "Divide: -851 / (-58) = 851/58"], "final_answer": "851/58", "answer_type": "rational", "kind": "expression", "math_text": "(82 + 16 - (949 - 0)) / (-58)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 16, \"c\": 949, \"d\": 0, \"e\": -58}", "seed": "702963348605969545", "semantic_fingerprint": "sha256:afabc49831c640688bd46ebaf6ad90b8e72836b6623fdd15ebc1af50a761dd55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003210", "prompt": "Compute: -54 * 3 * (-4 + (7 + 32))", "solution_steps": ["Multiply: -54 * 3 = -162", "Add: 7 + 32 = 39", "Add: -4 + 39 = 35", "Multiply: -162 * 35 = -5670"], "final_answer": "-5670", "answer_type": "integer", "kind": "expression", "math_text": "-54 * 3 * (-4 + (7 + 32))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 3, \"c\": -4, \"d\": 7, \"e\": 32}", "seed": "12666120952369293920", "semantic_fingerprint": "sha256:d2eebe06addb142f04a0f4885dcd8e84041011dcc7fff24296862a476a7e9bba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003211", "prompt": "Calculate: 953 / (-6) * (-785 / 7)", "solution_steps": ["Divide: 953 / (-6) = -953/6", "Divide: -785 / 7 = -785/7", "Multiply: (-953/6) * (-785/7) = 748105/42"], "final_answer": "748105/42", "answer_type": "rational", "kind": "expression", "math_text": "953 / (-6) * (-785 / 7)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 953, \"b\": -6, \"c\": -785, \"d\": 7}", "seed": "16249213253205859358", "semantic_fingerprint": "sha256:44b1760f5188ad08421dec8f7bac274826ba3cf6c96d9541e473817e89b079a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003212", "prompt": "Evaluate: 0 - (0 + 22) / 524", "solution_steps": ["Add: 0 + 22 = 22", "Divide: 22 / 524 = 11/262", "Subtract: 0 - 11/262 = -11/262"], "final_answer": "-11/262", "answer_type": "rational", "kind": "expression", "math_text": "0 - (0 + 22) / 524", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 22, \"d\": 524}", "seed": "8476136946798238890", "semantic_fingerprint": "sha256:f955147c7ddea2b0118d821ef338edbbd74fb8f77cfb3d92b24fb101f7668d4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003213", "prompt": "What value of x satisfies 5(x + 7) = 12(x - 39) + 83?", "solution_steps": ["Expand: 5x + 35 = 12(x - 39) + 83", "Expand: 5x + 35 = 12x - 468 + 83", "Combine constants: 5x + 35 = 12x - 385", "Subtract 12x from both sides: -7x + 35 = -385", "Subtract 35 from both sides: -7x = -420", "Divide both sides by -7: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 7) = 12(x - 39) + 83", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 12, \"d\": 39, \"e\": 83}", "seed": "1908757077953136422", "semantic_fingerprint": "sha256:0ee321b7812aa6519ba632deaaeac60a62f109a0f04d1809c899a8666895a21f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003214", "prompt": "Calculate: -3 - (-93) + (-610 + 99) / (-958) + 9", "solution_steps": ["Subtract: -3 - (-93) = 90", "Add: -610 + 99 = -511", "Divide: -511 / (-958) = 511/958", "Add: 90 + 511/958 = 86731/958", "Add: 86731/958 + 9 = 95353/958"], "final_answer": "95353/958", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-93) + (-610 + 99) / (-958) + 9", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) (/ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -93, \"c\": -610, \"d\": 99, \"e\": -958, \"f\": 9}", "seed": "6693508127037592035", "semantic_fingerprint": "sha256:ca778367003942aacfeae0874321f1f6946b2a1aa21663b783b68614ad02cb65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003215", "prompt": "Find x: 6x - 527 = 4x - 509", "solution_steps": ["Subtract 4x from both sides: 2x - 527 = -509", "Add 527 to both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 527 = 4x - 509", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 527, \"c\": 4, \"e\": -509, \"x\": 9}", "seed": "8615646622561106226", "semantic_fingerprint": "sha256:232fee707414264d432aaec19fba992ec5257f031675dc2eeabd859ba6e74b00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003216", "prompt": "Calculate: 889 - 9 * (-6 / (-438))", "solution_steps": ["Divide: -6 / (-438) = 1/73", "Multiply: 9 * (1/73) = 9/73", "Subtract: 889 - 9/73 = 64888/73"], "final_answer": "64888/73", "answer_type": "rational", "kind": "expression", "math_text": "889 - 9 * (-6 / (-438))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 889, \"b\": 9, \"c\": -6, \"d\": -438}", "seed": "13003071475263847783", "semantic_fingerprint": "sha256:48d01903c26d323c926c94cf823e3c03ef67387498f705fdc1b391e914618d72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003217", "prompt": "Evaluate: 74 * 406 + 58 + (-162)", "solution_steps": ["Multiply: 74 * 406 = 30044", "Add: 30044 + 58 = 30102", "Add: 30102 + (-162) = 29940"], "final_answer": "29940", "answer_type": "integer", "kind": "expression", "math_text": "74 * 406 + 58 + (-162)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 406, \"c\": 58, \"d\": -162}", "seed": "9440165894582669477", "semantic_fingerprint": "sha256:59a851b9b623159343b2c21343186ad2e34d561404f15fe4bd44266401f48665", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003218", "prompt": "Evaluate: 93 + 28 + (-801 - 831) / 43", "solution_steps": ["Add: 93 + 28 = 121", "Subtract: -801 - 831 = -1632", "Divide: -1632 / 43 = -1632/43", "Add: 121 + (-1632/43) = 3571/43"], "final_answer": "3571/43", "answer_type": "rational", "kind": "expression", "math_text": "93 + 28 + (-801 - 831) / 43", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 28, \"c\": -801, \"d\": 831, \"e\": 43}", "seed": "12237137990979753063", "semantic_fingerprint": "sha256:7530d5f859aafae7a2736b6c087cf554444946cea896e0c6bac19961a102df3f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003219", "prompt": "What is (-3 - (-401) * (-74)) / (-14)?", "solution_steps": ["Multiply: -401 * (-74) = 29674", "Subtract: -3 - 29674 = -29677", "Divide: -29677 / (-14) = 29677/14"], "final_answer": "29677/14", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - (-401) * (-74)) / (-14)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -401, \"c\": -74, \"d\": -14}", "seed": "3492923426445207814", "semantic_fingerprint": "sha256:45b63b447813c8adfd2adaa64c5ce32d551e15265071158cbb1313b7fc2782ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003220", "prompt": "Compute: (451 - (-19 + (-596))) * 891", "solution_steps": ["Add: -19 + (-596) = -615", "Subtract: 451 - (-615) = 1066", "Multiply: 1066 * 891 = 949806"], "final_answer": "949806", "answer_type": "integer", "kind": "expression", "math_text": "(451 - (-19 + (-596))) * 891", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 451, \"b\": -19, \"c\": -596, \"d\": 891}", "seed": "16061763885090878725", "semantic_fingerprint": "sha256:173de37887cfe885dcba568468121819d2962873c4f15157e1b57ee5603d3e33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003221", "prompt": "Evaluate: -76 - (6 * (0 + (-49)) - (-46 - 67))", "solution_steps": ["Add: 0 + (-49) = -49", "Multiply: 6 * (-49) = -294", "Subtract: -46 - 67 = -113", "Subtract: -294 - (-113) = -181", "Subtract: -76 - (-181) = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "-76 - (6 * (0 + (-49)) - (-46 - 67))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 6, \"c\": 0, \"d\": -49, \"e\": -46, \"f\": 67}", "seed": "13127583443204333528", "semantic_fingerprint": "sha256:bf33743635f47675986a225fc09df5d56da88014371854c83780dc57d47ca51a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003222", "prompt": "Solve the equation 5(x + 38) - 22 = x + 244 for x.", "solution_steps": ["Expand: 5x + 190 - 22 = x + 244", "Combine constants: 5x + 168 = x + 244", "Subtract x from both sides: 4x + 168 = 244", "Subtract 168 from both sides: 4x = 76", "Divide both sides by 4: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 38) - 22 = x + 244", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 38, \"c\": 22, \"e\": 244, \"x\": 19}", "seed": "14358977966928028420", "semantic_fingerprint": "sha256:6e13460dba580f0037b0e5dae00041183617813a154c48a34f5a68aaa24e6571", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003223", "prompt": "Calculate: (27 * 34 - 2 / (6 + 303)) / (-4)", "solution_steps": ["Multiply: 27 * 34 = 918", "Add: 6 + 303 = 309", "Divide: 2 / 309 = 2/309", "Subtract: 918 - 2/309 = 283660/309", "Divide: (283660/309) / (-4) = -70915/309"], "final_answer": "-70915/309", "answer_type": "rational", "kind": "expression", "math_text": "(27 * 34 - 2 / (6 + 303)) / (-4)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) (/ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 34, \"c\": 2, \"d\": 6, \"e\": 303, \"f\": -4}", "seed": "10509236794208747496", "semantic_fingerprint": "sha256:158ea217ee2bb889d64383bd09b305239142fef20f08d2fb4e1516358407278d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003224", "prompt": "Calculate: (65 + (-4)) / (-344 + (-960))", "solution_steps": ["Add: 65 + (-4) = 61", "Add: -344 + (-960) = -1304", "Divide: 61 / (-1304) = -61/1304"], "final_answer": "-61/1304", "answer_type": "rational", "kind": "expression", "math_text": "(65 + (-4)) / (-344 + (-960))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -4, \"c\": -344, \"d\": -960}", "seed": "13266144253608268700", "semantic_fingerprint": "sha256:38c66386627a24e295a752930f5feacc6a8702507f7ef582ea777fff4f3dc83a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003225", "prompt": "What value of x satisfies 11(x - 18) - 955 = x + 48?", "solution_steps": ["Expand: 11x - 198 - 955 = x + 48", "Combine constants: 11x - 1153 = x + 48", "Subtract x from both sides: 10x - 1153 = 48", "Add 1153 to both sides: 10x = 1201", "Divide both sides by 10: x = 1201/10"], "final_answer": "1201/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 18) - 955 = x + 48", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 18, \"c\": 955, \"d\": 48}", "seed": "7096174748943476776", "semantic_fingerprint": "sha256:2a58647457c7c14f068668276a67c0ab1fbcd6e70f4655800269491f0ef9b5da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003226", "prompt": "Solve the equation 12(x + 95) - 198 = x + 909 for x.", "solution_steps": ["Expand: 12x + 1140 - 198 = x + 909", "Combine constants: 12x + 942 = x + 909", "Subtract x from both sides: 11x + 942 = 909", "Subtract 942 from both sides: 11x = -33", "Divide both sides by 11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 95) - 198 = x + 909", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 95, \"c\": 198, \"e\": 909, \"x\": -3}", "seed": "16385202517842992372", "semantic_fingerprint": "sha256:5e6ddbcd6ffd544fb7cfa558509a32cb93a4e6680123903bc0f213affed5e4a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003227", "prompt": "Compute: (223 + 5) / (5 + (-75))", "solution_steps": ["Add: 223 + 5 = 228", "Add: 5 + (-75) = -70", "Divide: 228 / (-70) = -114/35"], "final_answer": "-114/35", "answer_type": "rational", "kind": "expression", "math_text": "(223 + 5) / (5 + (-75))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 223, \"b\": 5, \"c\": 5, \"d\": -75}", "seed": "6431414720436748788", "semantic_fingerprint": "sha256:fb17fdf63520888d3b284ff69b5a175fbf01712a517da99680dcb72956f4d6eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003228", "prompt": "Solve for x: 4(x + 80) = 7(x - 30) + 530", "solution_steps": ["Expand: 4x + 320 = 7(x - 30) + 530", "Expand: 4x + 320 = 7x - 210 + 530", "Combine constants: 4x + 320 = 7x + 320", "Subtract 7x from both sides: -3x + 320 = 320", "Subtract 320 from both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 80) = 7(x - 30) + 530", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 80, \"c\": 7, \"d\": 30, \"f\": 530, \"x\": 0}", "seed": "12988808554906894008", "semantic_fingerprint": "sha256:e878ef7f6142cc066003996253f5f894430fb623868b635cac749cd5607092cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003229", "prompt": "Solve the equation 10x = -6(x + 142) + 580 for x.", "solution_steps": ["Expand: 10x = -6x - 852 + 580", "Combine constants: 10x = -6x - 272", "Add 6x to both sides: 16x = -272", "Divide both sides by 16: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -6(x + 142) + 580", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -6, \"c\": 142, \"e\": 580, \"x\": -17}", "seed": "10738153700847519183", "semantic_fingerprint": "sha256:8caa1f95a7f90253c1c9414c215fce377ab29f83650bdf287e69bec7aa37acc9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003230", "prompt": "What is 394 * (-358) + 96 + (-766)?", "solution_steps": ["Multiply: 394 * (-358) = -141052", "Add: -141052 + 96 = -140956", "Add: -140956 + (-766) = -141722"], "final_answer": "-141722", "answer_type": "integer", "kind": "expression", "math_text": "394 * (-358) + 96 + (-766)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 394, \"b\": -358, \"c\": 96, \"d\": -766}", "seed": "16061493242003868110", "semantic_fingerprint": "sha256:4184f89b3e4940c979d6d379039bc1d1a9ed24a836eadc37999df29c5c9eba2f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003231", "prompt": "Compute: (26 / 9 - 900) * (-3)", "solution_steps": ["Divide: 26 / 9 = 26/9", "Subtract: 26/9 - 900 = -8074/9", "Multiply: (-8074/9) * (-3) = 8074/3"], "final_answer": "8074/3", "answer_type": "rational", "kind": "expression", "math_text": "(26 / 9 - 900) * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 9, \"c\": 900, \"d\": -3}", "seed": "13259292935088877615", "semantic_fingerprint": "sha256:2c32e4982e54f222eb5c13aa0648fbf89adebbdf4f2861bee2a42dd1ba3012d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003232", "prompt": "What is -7 + 5 / (6 * (-77)) + 7 + 95?", "solution_steps": ["Multiply: 6 * (-77) = -462", "Divide: 5 / (-462) = -5/462", "Add: -7 + (-5/462) = -3239/462", "Add: -3239/462 + 7 = -5/462", "Add: -5/462 + 95 = 43885/462"], "final_answer": "43885/462", "answer_type": "rational", "kind": "expression", "math_text": "-7 + 5 / (6 * (-77)) + 7 + 95", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n (/ n (* n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 6, \"d\": -77, \"e\": 7, \"f\": 95}", "seed": "13966312893173724862", "semantic_fingerprint": "sha256:2124a18349db6fa3d1f299ed5ac9ab4381dbb426d51525c2d69f82801f931fb9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003233", "prompt": "Compute: (-1 - (-23) * (-755)) / 34", "solution_steps": ["Multiply: -23 * (-755) = 17365", "Subtract: -1 - 17365 = -17366", "Divide: -17366 / 34 = -8683/17"], "final_answer": "-8683/17", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-23) * (-755)) / 34", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -23, \"c\": -755, \"d\": 34}", "seed": "12537372800560225813", "semantic_fingerprint": "sha256:61768c12a05baef42e8b51bcd662a498b8df435d3259e3a9fcadba6e5bebc74a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003234", "prompt": "Calculate: 28 + (-7 - (79 + 9))", "solution_steps": ["Add: 79 + 9 = 88", "Subtract: -7 - 88 = -95", "Add: 28 + (-95) = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "expression", "math_text": "28 + (-7 - (79 + 9))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -7, \"c\": 79, \"d\": 9}", "seed": "14222285676139309930", "semantic_fingerprint": "sha256:07b69024bdf1b41edf61a8f40e2d44d480a8fe4cb2ef1f8447658c61333c5d65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003235", "prompt": "Solve the equation 8x = 9(x + 5) - 37 for x.", "solution_steps": ["Expand: 8x = 9x + 45 - 37", "Combine constants: 8x = 9x + 8", "Subtract 9x from both sides: -x = 8", "Divide both sides by -1: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 9(x + 5) - 37", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 5, \"e\": -37, \"x\": -8}", "seed": "11371360324647766166", "semantic_fingerprint": "sha256:1f2ce46be13990c550695f34c7707044abcd8be215995c75f32d3387561d197c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003236", "prompt": "What value of x satisfies 7x - 98 = 2x - 133?", "solution_steps": ["Subtract 2x from both sides: 5x - 98 = -133", "Add 98 to both sides: 5x = -35", "Divide both sides by 5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 98 = 2x - 133", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 98, \"c\": 2, \"e\": -133, \"x\": -7}", "seed": "359069188102168679", "semantic_fingerprint": "sha256:22af3a4cb4d142da57d69f25c192d6a11693b6b50edcac84f5424e2f1b6b2aec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003237", "prompt": "Calculate: -71 / ((87 - 65 - (-12)) * 41) + (-87)", "solution_steps": ["Subtract: 87 - 65 = 22", "Subtract: 22 - (-12) = 34", "Multiply: 34 * 41 = 1394", "Divide: -71 / 1394 = -71/1394", "Add: -71/1394 + (-87) = -121349/1394"], "final_answer": "-121349/1394", "answer_type": "rational", "kind": "expression", "math_text": "-71 / ((87 - 65 - (-12)) * 41) + (-87)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (* (- (- n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 87, \"c\": 65, \"d\": -12, \"e\": 41, \"f\": -87}", "seed": "8682399397940629045", "semantic_fingerprint": "sha256:f369b214edc60b52cd0d87ad74c36484e2273687f8b0be440dfc33c30ada4821", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003238", "prompt": "What is -6 * (-9) * (955 / (-16))?", "solution_steps": ["Multiply: -6 * (-9) = 54", "Divide: 955 / (-16) = -955/16", "Multiply: 54 * (-955/16) = -25785/8"], "final_answer": "-25785/8", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-9) * (955 / (-16))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": 955, \"d\": -16}", "seed": "2480683213209909848", "semantic_fingerprint": "sha256:22867d40649788a319aea288a71049b27350fae0ca4ec8c9a332b5dd1e9f6e65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003239", "prompt": "Evaluate: -60 + (-32 + (-70)) * (-615) / (-71)", "solution_steps": ["Add: -32 + (-70) = -102", "Multiply: -102 * (-615) = 62730", "Divide: 62730 / (-71) = -62730/71", "Add: -60 + (-62730/71) = -66990/71"], "final_answer": "-66990/71", "answer_type": "rational", "kind": "expression", "math_text": "-60 + (-32 + (-70)) * (-615) / (-71)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -32, \"c\": -70, \"d\": -615, \"e\": -71}", "seed": "12342923202989576218", "semantic_fingerprint": "sha256:7552e4a9a034c0fea4d16225d154c43adc3a07c6a4fbc0b07fb5ef82232b4e80", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003240", "prompt": "Solve for x: 7x = 6(x + 3) - 31", "solution_steps": ["Expand: 7x = 6x + 18 - 31", "Combine constants: 7x = 6x - 13", "Subtract 6x from both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 6(x + 3) - 31", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 3, \"e\": -31, \"x\": -13}", "seed": "16306431559645006120", "semantic_fingerprint": "sha256:c685cf4bd8cd8ca18cb3cc3b4b4c2e48907f24f27bdfefa989f1fe82448b6ede", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003241", "prompt": "Solve the equation -4x = 2(x + 2) - 100 for x.", "solution_steps": ["Expand: -4x = 2x + 4 - 100", "Combine constants: -4x = 2x - 96", "Subtract 2x from both sides: -6x = -96", "Divide both sides by -6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 2(x + 2) - 100", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": 2, \"e\": -100, \"x\": 16}", "seed": "11788617362889368269", "semantic_fingerprint": "sha256:22307c8caeebef81a06b1863cb5150de11094efefb5107f09e88c8e79f410d96", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003242", "prompt": "Calculate: 83 - (-94 + (-121 + 94 * (-4)))", "solution_steps": ["Multiply: 94 * (-4) = -376", "Add: -121 + (-376) = -497", "Add: -94 + (-497) = -591", "Subtract: 83 - (-591) = 674"], "final_answer": "674", "answer_type": "integer", "kind": "expression", "math_text": "83 - (-94 + (-121 + 94 * (-4)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -94, \"c\": -121, \"d\": 94, \"e\": -4}", "seed": "13617167879390995230", "semantic_fingerprint": "sha256:2a27fde59eebcd0178a60e1481ec79acaaeca64e0aa4e1dbee410c29665276f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003243", "prompt": "Compute: (-55 / (-319) - 226) * 29", "solution_steps": ["Divide: -55 / (-319) = 5/29", "Subtract: 5/29 - 226 = -6549/29", "Multiply: (-6549/29) * 29 = -6549"], "final_answer": "-6549", "answer_type": "integer", "kind": "expression", "math_text": "(-55 / (-319) - 226) * 29", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -319, \"c\": 226, \"d\": 29}", "seed": "16699785150554705255", "semantic_fingerprint": "sha256:5ce4f78f9175905cba30255d91f058674079542ab48be1524e16cf9e1293741c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003244", "prompt": "Calculate: -8 / (6 / 27) / (6 / (-53)) + (-1)", "solution_steps": ["Divide: 6 / 27 = 2/9", "Divide: -8 / (2/9) = -36", "Divide: 6 / (-53) = -6/53", "Divide: -36 / (-6/53) = 318", "Add: 318 + (-1) = 317"], "final_answer": "317", "answer_type": "integer", "kind": "expression", "math_text": "-8 / (6 / 27) / (6 / (-53)) + (-1)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n (/ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": 27, \"d\": 6, \"e\": -53, \"f\": -1}", "seed": "8736300429116904937", "semantic_fingerprint": "sha256:b9cda8eb97aead014a95efcc1bd605620ff9f04d483b07dd0f0356391cc6468e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003245", "prompt": "What value of x satisfies -8(x - 9) - 9 = x + 9?", "solution_steps": ["Expand: -8x + 72 - 9 = x + 9", "Combine constants: -8x + 63 = x + 9", "Subtract x from both sides: -9x + 63 = 9", "Subtract 63 from both sides: -9x = -54", "Divide both sides by -9: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 9) - 9 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 9, \"e\": 9, \"x\": 6}", "seed": "14333231446495437180", "semantic_fingerprint": "sha256:409a605d8f59de4f5a3be624e44db00335c3155d5c57f497ea3b61d9471de892", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003246", "prompt": "Find x: -5(x + 1) + 2 = x + 75", "solution_steps": ["Expand: -5x - 5 + 2 = x + 75", "Combine constants: -5x - 3 = x + 75", "Subtract x from both sides: -6x - 3 = 75", "Add 3 to both sides: -6x = 78", "Divide both sides by -6: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 1) + 2 = x + 75", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 2, \"e\": 75, \"x\": -13}", "seed": "3240395299873112184", "semantic_fingerprint": "sha256:214efd39517a57328b65009666d10f606e2313622526d3ddb7ba1e397f1bb5f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003247", "prompt": "What is -424 / (-67) * (-6 - (-430 - (-78 - 9)))?", "solution_steps": ["Divide: -424 / (-67) = 424/67", "Subtract: -78 - 9 = -87", "Subtract: -430 - (-87) = -343", "Subtract: -6 - (-343) = 337", "Multiply: (424/67) * 337 = 142888/67"], "final_answer": "142888/67", "answer_type": "rational", "kind": "expression", "math_text": "-424 / (-67) * (-6 - (-430 - (-78 - 9)))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (- n (- n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -424, \"b\": -67, \"c\": -6, \"d\": -430, \"e\": -78, \"f\": 9}", "seed": "12842252102556524153", "semantic_fingerprint": "sha256:fc935d754ea1c6eae3da890f07fd858ea21e773b1b3ca8289b43abba964a42ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003248", "prompt": "Solve for x: 2(x + 20) + 43 = x + 87", "solution_steps": ["Expand: 2x + 40 + 43 = x + 87", "Combine constants: 2x + 83 = x + 87", "Subtract x from both sides: x + 83 = 87", "Subtract 83 from both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 20) + 43 = x + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 20, \"c\": 43, \"e\": 87, \"x\": 4}", "seed": "10551235205338240367", "semantic_fingerprint": "sha256:8fe49b7231a99c8e6ae2188c94299e59157669c64af4716684889a8c07cfb75d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003249", "prompt": "Solve for x: 9(x + 195) = -3(x - 9) + 7", "solution_steps": ["Expand: 9x + 1755 = -3(x - 9) + 7", "Expand: 9x + 1755 = -3x + 27 + 7", "Combine constants: 9x + 1755 = -3x + 34", "Add 3x to both sides: 12x + 1755 = 34", "Subtract 1755 from both sides: 12x = -1721", "Divide both sides by 12: x = -1721/12"], "final_answer": "-1721/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 195) = -3(x - 9) + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 195, \"c\": -3, \"d\": 9, \"e\": 7}", "seed": "7998426628682750042", "semantic_fingerprint": "sha256:217dd42e049f2303ebb1bdd4f230c69cc97522dde0f60e8cbcc34c411cb2d32c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003250", "prompt": "What is -6 * (-38 + (-2)) - (28 + (-690)) * 0?", "solution_steps": ["Add: -38 + (-2) = -40", "Multiply: -6 * (-40) = 240", "Add: 28 + (-690) = -662", "Multiply: -662 * 0 = 0", "Subtract: 240 - 0 = 240"], "final_answer": "240", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-38 + (-2)) - (28 + (-690)) * 0", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -38, \"c\": -2, \"d\": 28, \"e\": -690, \"f\": 0}", "seed": "2394975453224621772", "semantic_fingerprint": "sha256:1c9b0129a535428e18e05bbe1262c2603a7760c870d840a238f382e03ffdace8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003251", "prompt": "What value of x satisfies 12(x + 28) - 8 = x + 284?", "solution_steps": ["Expand: 12x + 336 - 8 = x + 284", "Combine constants: 12x + 328 = x + 284", "Subtract x from both sides: 11x + 328 = 284", "Subtract 328 from both sides: 11x = -44", "Divide both sides by 11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 28) - 8 = x + 284", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 28, \"c\": 8, \"e\": 284, \"x\": -4}", "seed": "8591564098972623976", "semantic_fingerprint": "sha256:8537767968b01ca58fb249481c6c5f8b11a3b5174293a80d4b91c562b7de8d5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003252", "prompt": "Find x: 8x - 41 = -4(x - 59)", "solution_steps": ["Expand: 8x - 41 = -4x + 236", "Add 4x to both sides: 12x - 41 = 236", "Add 41 to both sides: 12x = 277", "Divide both sides by 12: x = 277/12"], "final_answer": "277/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 41 = -4(x - 59)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 41, \"c\": -4, \"d\": 59}", "seed": "8116350116229588916", "semantic_fingerprint": "sha256:59ef87c49187af301602084ebb3283958cce4aa4dc1202600cd10ff57116591c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003253", "prompt": "Calculate: (18 + (-77)) * (-4 / 77) / (-94 - (-32))", "solution_steps": ["Add: 18 + (-77) = -59", "Divide: -4 / 77 = -4/77", "Multiply: -59 * (-4/77) = 236/77", "Subtract: -94 - (-32) = -62", "Divide: (236/77) / (-62) = -118/2387"], "final_answer": "-118/2387", "answer_type": "rational", "kind": "expression", "math_text": "(18 + (-77)) * (-4 / 77) / (-94 - (-32))", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -77, \"c\": -4, \"d\": 77, \"e\": -94, \"f\": -32}", "seed": "16099763521400655621", "semantic_fingerprint": "sha256:662b4ff39b41528819166a3537aed8622966aa6547b4b4199226590a276290cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003254", "prompt": "Calculate: 75 / 54 - (-21) * 946 / (-744)", "solution_steps": ["Divide: 75 / 54 = 25/18", "Multiply: -21 * 946 = -19866", "Divide: -19866 / (-744) = 3311/124", "Subtract: 25/18 - 3311/124 = -28249/1116"], "final_answer": "-28249/1116", "answer_type": "rational", "kind": "expression", "math_text": "75 / 54 - (-21) * 946 / (-744)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 54, \"c\": -21, \"d\": 946, \"e\": -744}", "seed": "17594464042381898411", "semantic_fingerprint": "sha256:506355266ce7a3e838ea62e76b014e3d0b93c2a2a5dc4489a0ce1ca1266c8453", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003255", "prompt": "Compute: 123 / (-423 + (-4) + (8 + (-174)))", "solution_steps": ["Add: -423 + (-4) = -427", "Add: 8 + (-174) = -166", "Add: -427 + (-166) = -593", "Divide: 123 / (-593) = -123/593"], "final_answer": "-123/593", "answer_type": "rational", "kind": "expression", "math_text": "123 / (-423 + (-4) + (8 + (-174)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 123, \"b\": -423, \"c\": -4, \"d\": 8, \"e\": -174}", "seed": "5244089972833958474", "semantic_fingerprint": "sha256:352a6d2316b01ea67ac0185d5de7ad01d985f4dbd523b66ec75f34667c755661", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003256", "prompt": "Calculate: (608 * (-1) - (3 + (-24))) * 29", "solution_steps": ["Multiply: 608 * (-1) = -608", "Add: 3 + (-24) = -21", "Subtract: -608 - (-21) = -587", "Multiply: -587 * 29 = -17023"], "final_answer": "-17023", "answer_type": "integer", "kind": "expression", "math_text": "(608 * (-1) - (3 + (-24))) * 29", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 608, \"b\": -1, \"c\": 3, \"d\": -24, \"e\": 29}", "seed": "5939643134716139133", "semantic_fingerprint": "sha256:024a3366d8e34f06b3c9997fe41aba027f1fab578e41774c137af60233169873", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003257", "prompt": "Solve for x: 5(x - 38) + 180 = -5(x + 4)", "solution_steps": ["Expand: 5x - 190 + 180 = -5(x + 4)", "Expand: 5x - 190 + 180 = -5x - 20", "Combine constants: 5x - 10 = -5x - 20", "Add 5x to both sides: 10x - 10 = -20", "Add 10 to both sides: 10x = -10", "Divide both sides by 10: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 38) + 180 = -5(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 38, \"c\": -5, \"d\": 4, \"f\": 180, \"x\": -1}", "seed": "8825182333006917503", "semantic_fingerprint": "sha256:bc2987a220c1727dd52445c2ddbe08f43e5be54147f4d2423f22276997cd27e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003258", "prompt": "What is 89 * 42 * (-18 / 966)?", "solution_steps": ["Multiply: 89 * 42 = 3738", "Divide: -18 / 966 = -3/161", "Multiply: 3738 * (-3/161) = -1602/23"], "final_answer": "-1602/23", "answer_type": "rational", "kind": "expression", "math_text": "89 * 42 * (-18 / 966)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 42, \"c\": -18, \"d\": 966}", "seed": "11570548038703961622", "semantic_fingerprint": "sha256:38459d1aab76d899f4c9e7508d8019ea070d4dfb1d5d393fb51b1a5c4907d645", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003259", "prompt": "Solve for x: 7(x - 98) + 776 = 4(x + 9)", "solution_steps": ["Expand: 7x - 686 + 776 = 4(x + 9)", "Expand: 7x - 686 + 776 = 4x + 36", "Combine constants: 7x + 90 = 4x + 36", "Subtract 4x from both sides: 3x + 90 = 36", "Subtract 90 from both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 98) + 776 = 4(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 98, \"c\": 4, \"d\": 9, \"f\": 776, \"x\": -18}", "seed": "2554455739540843039", "semantic_fingerprint": "sha256:88e1542187923ecd8fca4c239fb8fce52b846edb1e9732a4eb4b4660f96f0071", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003260", "prompt": "Compute: 524 - (-979 / 6 - 55) - (-2)", "solution_steps": ["Divide: -979 / 6 = -979/6", "Subtract: -979/6 - 55 = -1309/6", "Subtract: 524 - (-1309/6) = 4453/6", "Subtract: 4453/6 - (-2) = 4465/6"], "final_answer": "4465/6", "answer_type": "rational", "kind": "expression", "math_text": "524 - (-979 / 6 - 55) - (-2)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 524, \"b\": -979, \"c\": 6, \"d\": 55, \"e\": -2}", "seed": "18256842999874654809", "semantic_fingerprint": "sha256:5812c7d6a0cf045d42ddaa7302082139122256b73cd88af330b6b65d0f5cfc94", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003261", "prompt": "Evaluate: 3 * (-71 + 13 * (-440))", "solution_steps": ["Multiply: 13 * (-440) = -5720", "Add: -71 + (-5720) = -5791", "Multiply: 3 * (-5791) = -17373"], "final_answer": "-17373", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-71 + 13 * (-440))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -71, \"c\": 13, \"d\": -440}", "seed": "10435870474695321434", "semantic_fingerprint": "sha256:52fbc113da99614da97f27496d4662822a172199f46bf11a38e0c97b6f7ad654", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003262", "prompt": "Compute: 67 / (-9) - (-78) * (-6 + (-99))", "solution_steps": ["Divide: 67 / (-9) = -67/9", "Add: -6 + (-99) = -105", "Multiply: -78 * (-105) = 8190", "Subtract: -67/9 - 8190 = -73777/9"], "final_answer": "-73777/9", "answer_type": "rational", "kind": "expression", "math_text": "67 / (-9) - (-78) * (-6 + (-99))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -9, \"c\": -78, \"d\": -6, \"e\": -99}", "seed": "10522678596512069393", "semantic_fingerprint": "sha256:f21676cd9f4e6b16f13ce14ad4877cb670e78447f4e6f7d565be2885dec26604", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003263", "prompt": "Compute: 75 + (26 - (-94 + 692))", "solution_steps": ["Add: -94 + 692 = 598", "Subtract: 26 - 598 = -572", "Add: 75 + (-572) = -497"], "final_answer": "-497", "answer_type": "integer", "kind": "expression", "math_text": "75 + (26 - (-94 + 692))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 26, \"c\": -94, \"d\": 692}", "seed": "13725500051207250643", "semantic_fingerprint": "sha256:7ae442b13973d520de9503c2d9f95d420afab8036ba7f312e84be986b7b53785", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003264", "prompt": "What is (-458 + (-6)) * 0 / 295 - (-2)?", "solution_steps": ["Add: -458 + (-6) = -464", "Multiply: -464 * 0 = 0", "Divide: 0 / 295 = 0", "Subtract: 0 - (-2) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "(-458 + (-6)) * 0 / 295 - (-2)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -458, \"b\": -6, \"c\": 0, \"d\": 295, \"e\": -2}", "seed": "968746212830862340", "semantic_fingerprint": "sha256:53d65fa2ee04cf4a87deed8e8b24d7f25d5cd190aba432f145cce1b55a381659", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003265", "prompt": "Compute: 533 / (-8 - 763 - 8 + 73)", "solution_steps": ["Subtract: -8 - 763 = -771", "Subtract: -771 - 8 = -779", "Add: -779 + 73 = -706", "Divide: 533 / (-706) = -533/706"], "final_answer": "-533/706", "answer_type": "rational", "kind": "expression", "math_text": "533 / (-8 - 763 - 8 + 73)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 533, \"b\": -8, \"c\": 763, \"d\": 8, \"e\": 73}", "seed": "8570958653245585031", "semantic_fingerprint": "sha256:f93e45515be55f4e10cf5205bcdb8c0e61814f08d2fcab0125d5f4ba349db5de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003266", "prompt": "Solve for x: 6x - 31 = -7x - 161", "solution_steps": ["Add 7x to both sides: 13x - 31 = -161", "Add 31 to both sides: 13x = -130", "Divide both sides by 13: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 31 = -7x - 161", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 31, \"c\": -7, \"e\": -161, \"x\": -10}", "seed": "10163474310776185162", "semantic_fingerprint": "sha256:600445842ba0bca2f61682ff13e7423e81bc3ed834fb940c31e7f3d54a522c22", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003267", "prompt": "Calculate: -4 - 9 * (6 / 7)", "solution_steps": ["Divide: 6 / 7 = 6/7", "Multiply: 9 * (6/7) = 54/7", "Subtract: -4 - 54/7 = -82/7"], "final_answer": "-82/7", "answer_type": "rational", "kind": "expression", "math_text": "-4 - 9 * (6 / 7)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 6, \"d\": 7}", "seed": "2423276655704866247", "semantic_fingerprint": "sha256:7f8cc44e2420ad1b3fd9482dfbeacd2ea66acdf708ee028999fb340c76eb16e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003268", "prompt": "Calculate: -154 * (3 * (-88)) + (-9)", "solution_steps": ["Multiply: 3 * (-88) = -264", "Multiply: -154 * (-264) = 40656", "Add: 40656 + (-9) = 40647"], "final_answer": "40647", "answer_type": "integer", "kind": "expression", "math_text": "-154 * (3 * (-88)) + (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -154, \"b\": 3, \"c\": -88, \"d\": -9}", "seed": "10522354942634942990", "semantic_fingerprint": "sha256:200a43064b561e0dec4825048e25e995c2be5c706524ec39a7ede0282f086d87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003269", "prompt": "What is 579 / 53 - (-531 - (-9)) - 193?", "solution_steps": ["Divide: 579 / 53 = 579/53", "Subtract: -531 - (-9) = -522", "Subtract: 579/53 - (-522) = 28245/53", "Subtract: 28245/53 - 193 = 18016/53"], "final_answer": "18016/53", "answer_type": "rational", "kind": "expression", "math_text": "579 / 53 - (-531 - (-9)) - 193", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 579, \"b\": 53, \"c\": -531, \"d\": -9, \"e\": 193}", "seed": "8687816650678602418", "semantic_fingerprint": "sha256:18053b35b0b3d37e6c82f393a603ac40e50ffa0d4a1c37b1f17fdbbecbbe1e5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003270", "prompt": "Solve for x: 8x = 6(x + 34) - 206", "solution_steps": ["Expand: 8x = 6x + 204 - 206", "Combine constants: 8x = 6x - 2", "Subtract 6x from both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 6(x + 34) - 206", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 34, \"e\": -206, \"x\": -1}", "seed": "2985843707961158785", "semantic_fingerprint": "sha256:39b6d4fa982992ede421164b4d5e0fe5cf3f69a4a0a8f178d32eb1117b8628bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003271", "prompt": "Calculate: 250 + (-7) * 5 - 13 - 876", "solution_steps": ["Multiply: -7 * 5 = -35", "Add: 250 + (-35) = 215", "Subtract: 215 - 13 = 202", "Subtract: 202 - 876 = -674"], "final_answer": "-674", "answer_type": "integer", "kind": "expression", "math_text": "250 + (-7) * 5 - 13 - 876", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 250, \"b\": -7, \"c\": 5, \"d\": 13, \"e\": 876}", "seed": "14418568360114279847", "semantic_fingerprint": "sha256:14afc49969cb8151feca986d38b3cfdfd7211ac4c8dfbd64d7179b33f473e3fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003272", "prompt": "Compute: 778 + 28 + (-58 - 180 - 0)", "solution_steps": ["Add: 778 + 28 = 806", "Subtract: -58 - 180 = -238", "Subtract: -238 - 0 = -238", "Add: 806 + (-238) = 568"], "final_answer": "568", "answer_type": "integer", "kind": "expression", "math_text": "778 + 28 + (-58 - 180 - 0)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 778, \"b\": 28, \"c\": -58, \"d\": 180, \"e\": 0}", "seed": "15028846308133852897", "semantic_fingerprint": "sha256:091c240c5d731d6e911bc951308a04633f4902fab6fb2362dbb6f3d156afcaf1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003273", "prompt": "Calculate: -86 * (-803) + (1 - (-1))", "solution_steps": ["Multiply: -86 * (-803) = 69058", "Subtract: 1 - (-1) = 2", "Add: 69058 + 2 = 69060"], "final_answer": "69060", "answer_type": "integer", "kind": "expression", "math_text": "-86 * (-803) + (1 - (-1))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -803, \"c\": 1, \"d\": -1}", "seed": "9842421852424748020", "semantic_fingerprint": "sha256:7df0e260a590ff5e66335d5b8e4b9c2f3c536259eb9da9780269db8ede965041", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003274", "prompt": "Solve for x: 3x = -3(x + 795) + 2", "solution_steps": ["Expand: 3x = -3x - 2385 + 2", "Combine constants: 3x = -3x - 2383", "Add 3x to both sides: 6x = -2383", "Divide both sides by 6: x = -2383/6"], "final_answer": "-2383/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -3(x + 795) + 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -3, \"c\": 795, \"d\": 2}", "seed": "14844184280515922712", "semantic_fingerprint": "sha256:17a329464f1a5c051c92f6f0e1baeca53159597c0e676a3a8acfd1c1dfe91ada", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003275", "prompt": "Find x: -2(x + 3) = 9(x - 7) + 211", "solution_steps": ["Expand: -2x - 6 = 9(x - 7) + 211", "Expand: -2x - 6 = 9x - 63 + 211", "Combine constants: -2x - 6 = 9x + 148", "Subtract 9x from both sides: -11x - 6 = 148", "Add 6 to both sides: -11x = 154", "Divide both sides by -11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 3) = 9(x - 7) + 211", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 9, \"d\": 7, \"f\": 211, \"x\": -14}", "seed": "8674113124840276225", "semantic_fingerprint": "sha256:8607224bc1e563b16516787b46f81ece26409ac692d992cfeaca327c001e367b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003276", "prompt": "What is 3 / (-7) * (88 - 675 - (-50))?", "solution_steps": ["Divide: 3 / (-7) = -3/7", "Subtract: 88 - 675 = -587", "Subtract: -587 - (-50) = -537", "Multiply: (-3/7) * (-537) = 1611/7"], "final_answer": "1611/7", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-7) * (88 - 675 - (-50))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 88, \"d\": 675, \"e\": -50}", "seed": "826719367534752001", "semantic_fingerprint": "sha256:43b71ce3fb0e308a85360d328aff2430bfec57ad62d84ebabdc33302fa3fb4ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003277", "prompt": "Calculate: (859 + (-1) * 70) / 61 + 41", "solution_steps": ["Multiply: -1 * 70 = -70", "Add: 859 + (-70) = 789", "Divide: 789 / 61 = 789/61", "Add: 789/61 + 41 = 3290/61"], "final_answer": "3290/61", "answer_type": "rational", "kind": "expression", "math_text": "(859 + (-1) * 70) / 61 + 41", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 859, \"b\": -1, \"c\": 70, \"d\": 61, \"e\": 41}", "seed": "7648735183259858945", "semantic_fingerprint": "sha256:74efcb07dfdcf77a55b63c439afc690b724d64bb15be52856265cfbc73efa86d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003278", "prompt": "What is -72 / (31 - 19) + (8 - (-60))?", "solution_steps": ["Subtract: 31 - 19 = 12", "Divide: -72 / 12 = -6", "Subtract: 8 - (-60) = 68", "Add: -6 + 68 = 62"], "final_answer": "62", "answer_type": "integer", "kind": "expression", "math_text": "-72 / (31 - 19) + (8 - (-60))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 31, \"c\": 19, \"d\": 8, \"e\": -60}", "seed": "4560255267013563218", "semantic_fingerprint": "sha256:7f06c89c5ebcb9aeca21154ae7d0dc8010f7f29b440d87ce683fb7b7ebcec0ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003279", "prompt": "Calculate: -4 + 3 + (-66) + (-98 + 504)", "solution_steps": ["Add: -4 + 3 = -1", "Add: -1 + (-66) = -67", "Add: -98 + 504 = 406", "Add: -67 + 406 = 339"], "final_answer": "339", "answer_type": "integer", "kind": "expression", "math_text": "-4 + 3 + (-66) + (-98 + 504)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": -66, \"d\": -98, \"e\": 504}", "seed": "10688198087400771208", "semantic_fingerprint": "sha256:dee0a9d9ec1596cdf1ef38c284605f9080e1b201e15661a765ca8a6c60f181a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003280", "prompt": "Solve the equation -12x = -6(x + 483) - 82 for x.", "solution_steps": ["Expand: -12x = -6x - 2898 - 82", "Combine constants: -12x = -6x - 2980", "Add 6x to both sides: -6x = -2980", "Divide both sides by -6: x = 1490/3"], "final_answer": "1490/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = -6(x + 483) - 82", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -6, \"c\": 483, \"d\": 82}", "seed": "11894464175098700789", "semantic_fingerprint": "sha256:cb9e6ad65a380a99e5a08e6b12453f801c121b878e1f83fc842548957c9b7302", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003281", "prompt": "What value of x satisfies 8(x + 83) + 111 = x + 782?", "solution_steps": ["Expand: 8x + 664 + 111 = x + 782", "Combine constants: 8x + 775 = x + 782", "Subtract x from both sides: 7x + 775 = 782", "Subtract 775 from both sides: 7x = 7", "Divide both sides by 7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 83) + 111 = x + 782", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 83, \"c\": 111, \"e\": 782, \"x\": 1}", "seed": "17874787023394574624", "semantic_fingerprint": "sha256:577e01dcb7a859ba8f416adbc2fa13e3ed9e57276906df18f40c53b080452de6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003282", "prompt": "Solve for x: 5x = 6(x + 6) - 26", "solution_steps": ["Expand: 5x = 6x + 36 - 26", "Combine constants: 5x = 6x + 10", "Subtract 6x from both sides: -x = 10", "Divide both sides by -1: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 6(x + 6) - 26", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 6, \"e\": -26, \"x\": -10}", "seed": "10533199230494759343", "semantic_fingerprint": "sha256:abea3ac56ea0f39c5de15ed8a8131e5f6e9747e90484ed8adb047d5a3e06c18f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003283", "prompt": "Solve for x: -12(x + 4) = 10(x - 31) + 218", "solution_steps": ["Expand: -12x - 48 = 10(x - 31) + 218", "Expand: -12x - 48 = 10x - 310 + 218", "Combine constants: -12x - 48 = 10x - 92", "Subtract 10x from both sides: -22x - 48 = -92", "Add 48 to both sides: -22x = -44", "Divide both sides by -22: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 4) = 10(x - 31) + 218", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"c\": 10, \"d\": 31, \"f\": 218, \"x\": 2}", "seed": "14324871572196077247", "semantic_fingerprint": "sha256:e05870595421132e1c51cdb9ab4cfa663609c41155dee425f1ea4b1e56b75f2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003284", "prompt": "Calculate: -955 * (-4) / 847 + (-94) + (-5)", "solution_steps": ["Multiply: -955 * (-4) = 3820", "Divide: 3820 / 847 = 3820/847", "Add: 3820/847 + (-94) = -75798/847", "Add: -75798/847 + (-5) = -80033/847"], "final_answer": "-80033/847", "answer_type": "rational", "kind": "expression", "math_text": "-955 * (-4) / 847 + (-94) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -955, \"b\": -4, \"c\": 847, \"d\": -94, \"e\": -5}", "seed": "12412611816896705659", "semantic_fingerprint": "sha256:dfb7e16c5fa716d46440f516fa80c0e24e9e2cda8382ad65772c85873816f8fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003285", "prompt": "Find x: 9x - 9 = 7x - 911", "solution_steps": ["Subtract 7x from both sides: 2x - 9 = -911", "Add 9 to both sides: 2x = -902", "Divide both sides by 2: x = -451"], "final_answer": "-451", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 9 = 7x - 911", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 7, \"d\": 911}", "seed": "18163397499352761825", "semantic_fingerprint": "sha256:ac846cb83e37c4f5d45bfa92aab2aa263be230920016e0614f28b9c8f8f9d059", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003286", "prompt": "Find x: 2(x - 443) + 60 = 9(x + 43)", "solution_steps": ["Expand: 2x - 886 + 60 = 9(x + 43)", "Expand: 2x - 886 + 60 = 9x + 387", "Combine constants: 2x - 826 = 9x + 387", "Subtract 9x from both sides: -7x - 826 = 387", "Add 826 to both sides: -7x = 1213", "Divide both sides by -7: x = -1213/7"], "final_answer": "-1213/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 443) + 60 = 9(x + 43)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 443, \"c\": 60, \"d\": 9, \"e\": 43}", "seed": "1640007206295346200", "semantic_fingerprint": "sha256:bf53df4fd5a6178abc366c21b3168afc1b42281f696f9704acd3dbfe25eee191", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003287", "prompt": "Evaluate: (-7 - (-75 - 89)) * (-3 + (-184))", "solution_steps": ["Subtract: -75 - 89 = -164", "Subtract: -7 - (-164) = 157", "Add: -3 + (-184) = -187", "Multiply: 157 * (-187) = -29359"], "final_answer": "-29359", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-75 - 89)) * (-3 + (-184))", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -75, \"c\": 89, \"d\": -3, \"e\": -184}", "seed": "4369086585236307963", "semantic_fingerprint": "sha256:4b747144628a748ef66af15cb33fd168a7d9f600ba1774044639f80a2bac309f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003288", "prompt": "Solve for x: -5x = -3(x + 22) + 68", "solution_steps": ["Expand: -5x = -3x - 66 + 68", "Combine constants: -5x = -3x + 2", "Add 3x to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = -3(x + 22) + 68", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3, \"c\": 22, \"e\": 68, \"x\": -1}", "seed": "28180129543984064", "semantic_fingerprint": "sha256:70b9a8f4bee009869fb3aa08beb999caddd52f88d85a9b41a4da226c46c5d4f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003289", "prompt": "Compute: 380 / 60 * (-68) / (840 - (-948 - (-284)))", "solution_steps": ["Divide: 380 / 60 = 19/3", "Multiply: (19/3) * (-68) = -1292/3", "Subtract: -948 - (-284) = -664", "Subtract: 840 - (-664) = 1504", "Divide: (-1292/3) / 1504 = -323/1128"], "final_answer": "-323/1128", "answer_type": "rational", "kind": "expression", "math_text": "380 / 60 * (-68) / (840 - (-948 - (-284)))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 380, \"b\": 60, \"c\": -68, \"d\": 840, \"e\": -948, \"f\": -284}", "seed": "2092809856750961299", "semantic_fingerprint": "sha256:6e7a14c6216b80ad2060d48ae6637a22347e5e2f6a656cd4709aca344c117f88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003290", "prompt": "Find x: 3x - 6 = 6x - 48", "solution_steps": ["Subtract 6x from both sides: -3x - 6 = -48", "Add 6 to both sides: -3x = -42", "Divide both sides by -3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 6 = 6x - 48", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 6, \"e\": -48, \"x\": 14}", "seed": "15213761450760349202", "semantic_fingerprint": "sha256:4fd0299ca22d0f3c63bf521fc9a436679aaa42d7932ea6b56c6801be68af3048", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003291", "prompt": "Compute: (6 + 82) / (-28 + 2)", "solution_steps": ["Add: 6 + 82 = 88", "Add: -28 + 2 = -26", "Divide: 88 / (-26) = -44/13"], "final_answer": "-44/13", "answer_type": "rational", "kind": "expression", "math_text": "(6 + 82) / (-28 + 2)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 82, \"c\": -28, \"d\": 2}", "seed": "16021940244907904376", "semantic_fingerprint": "sha256:4152723af1f5d75c6cf1cd7b7814128e1d6c58127b35ceae8e58327fbb1768f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003292", "prompt": "What value of x satisfies 8x - 17 = 12(x - 19)?", "solution_steps": ["Expand: 8x - 17 = 12x - 228", "Subtract 12x from both sides: -4x - 17 = -228", "Add 17 to both sides: -4x = -211", "Divide both sides by -4: x = 211/4"], "final_answer": "211/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 17 = 12(x - 19)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 17, \"c\": 12, \"d\": 19}", "seed": "10395293197245082472", "semantic_fingerprint": "sha256:7f4ef36c0a8915e1e6223d9d585953160605768596498c703e469d60f0a5bddc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003293", "prompt": "Calculate: (-1 - (-37) * (-760)) / 551", "solution_steps": ["Multiply: -37 * (-760) = 28120", "Subtract: -1 - 28120 = -28121", "Divide: -28121 / 551 = -28121/551"], "final_answer": "-28121/551", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-37) * (-760)) / 551", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -37, \"c\": -760, \"d\": 551}", "seed": "14119930158289746852", "semantic_fingerprint": "sha256:80f1a6b3e4ac93dece3e4a99c23e1ab2cc3384b5184f1223f2a19afe53649b78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003294", "prompt": "Find x: 12(x + 48) - 41 = x + 414", "solution_steps": ["Expand: 12x + 576 - 41 = x + 414", "Combine constants: 12x + 535 = x + 414", "Subtract x from both sides: 11x + 535 = 414", "Subtract 535 from both sides: 11x = -121", "Divide both sides by 11: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 48) - 41 = x + 414", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 48, \"c\": 41, \"e\": 414, \"x\": -11}", "seed": "7633121176576227678", "semantic_fingerprint": "sha256:decc2c69db7f38e12eef0b1b6924f58cca2c97d639fa5b1b88f4997e97dceb5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003295", "prompt": "What is -863 * (-29 * (-6)) + (-8)?", "solution_steps": ["Multiply: -29 * (-6) = 174", "Multiply: -863 * 174 = -150162", "Add: -150162 + (-8) = -150170"], "final_answer": "-150170", "answer_type": "integer", "kind": "expression", "math_text": "-863 * (-29 * (-6)) + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -863, \"b\": -29, \"c\": -6, \"d\": -8}", "seed": "9579205055269361865", "semantic_fingerprint": "sha256:ecc0067425799a333cccd1b464996de25603a7cda0aa64274d98a656988da5cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003296", "prompt": "What is -14 / 3 / 43 + (-10 - (-53))?", "solution_steps": ["Divide: -14 / 3 = -14/3", "Divide: (-14/3) / 43 = -14/129", "Subtract: -10 - (-53) = 43", "Add: -14/129 + 43 = 5533/129"], "final_answer": "5533/129", "answer_type": "rational", "kind": "expression", "math_text": "-14 / 3 / 43 + (-10 - (-53))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 3, \"c\": 43, \"d\": -10, \"e\": -53}", "seed": "17118241254532613631", "semantic_fingerprint": "sha256:f2f2bfec2cca4c6b6ec22444d7aff7b640210abbee1d44a2056d4761283a8c3a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003297", "prompt": "What is -13 * (-75) + (66 - 39)?", "solution_steps": ["Multiply: -13 * (-75) = 975", "Subtract: 66 - 39 = 27", "Add: 975 + 27 = 1002"], "final_answer": "1002", "answer_type": "integer", "kind": "expression", "math_text": "-13 * (-75) + (66 - 39)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -75, \"c\": 66, \"d\": 39}", "seed": "18125238425498290177", "semantic_fingerprint": "sha256:048df65920ae5cf96abdc1cbad5b66fd79df0109a0d56e763d926f9b05d96191", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003298", "prompt": "Calculate: 16 * (2 * ((1 + (-224)) / 441))", "solution_steps": ["Add: 1 + (-224) = -223", "Divide: -223 / 441 = -223/441", "Multiply: 2 * (-223/441) = -446/441", "Multiply: 16 * (-446/441) = -7136/441"], "final_answer": "-7136/441", "answer_type": "rational", "kind": "expression", "math_text": "16 * (2 * ((1 + (-224)) / 441))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (/ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 2, \"c\": 1, \"d\": -224, \"e\": 441}", "seed": "4153683022608722680", "semantic_fingerprint": "sha256:8c99ab6e27279da764d9cfce83e5411719da34ca66c5f934c5d82d46890b341b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003299", "prompt": "Find x: 5x - 410 = 7x - 430", "solution_steps": ["Subtract 7x from both sides: -2x - 410 = -430", "Add 410 to both sides: -2x = -20", "Divide both sides by -2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 410 = 7x - 430", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 410, \"c\": 7, \"e\": -430, \"x\": 10}", "seed": "3229373351976796597", "semantic_fingerprint": "sha256:f46b2da55e195a235017b38b271f0ec08f376076cb58c6423cc2bd954fcc77cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003300", "prompt": "Find x: -7(x + 31) = 6(x - 51) + 336", "solution_steps": ["Expand: -7x - 217 = 6(x - 51) + 336", "Expand: -7x - 217 = 6x - 306 + 336", "Combine constants: -7x - 217 = 6x + 30", "Subtract 6x from both sides: -13x - 217 = 30", "Add 217 to both sides: -13x = 247", "Divide both sides by -13: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 31) = 6(x - 51) + 336", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 31, \"c\": 6, \"d\": 51, \"f\": 336, \"x\": -19}", "seed": "15421574972209657073", "semantic_fingerprint": "sha256:449cee9e0b29f20610a2f54cb4c3a8310ec90909fe583827db9633e1a10bf773", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003301", "prompt": "What value of x satisfies 4x - 30 = 11x - 9?", "solution_steps": ["Subtract 11x from both sides: -7x - 30 = -9", "Add 30 to both sides: -7x = 21", "Divide both sides by -7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 30 = 11x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 30, \"c\": 11, \"e\": -9, \"x\": -3}", "seed": "13614800415515935586", "semantic_fingerprint": "sha256:dce94cd7aa02ed4e7efde3ca93796951b9719352f47cebb41ece86310ea3ef6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003302", "prompt": "Find x: -10(x - 7) + 67 = -8(x + 49)", "solution_steps": ["Expand: -10x + 70 + 67 = -8(x + 49)", "Expand: -10x + 70 + 67 = -8x - 392", "Combine constants: -10x + 137 = -8x - 392", "Add 8x to both sides: -2x + 137 = -392", "Subtract 137 from both sides: -2x = -529", "Divide both sides by -2: x = 529/2"], "final_answer": "529/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 7) + 67 = -8(x + 49)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 67, \"d\": -8, \"e\": 49}", "seed": "2587471901867916349", "semantic_fingerprint": "sha256:4a76d09ce029dcd226c377ab6ed86d5379e1157f372a7697f7e222c7b6d72c65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003303", "prompt": "Calculate: -56 * (-6) - (8 - (-5) / (-18))", "solution_steps": ["Multiply: -56 * (-6) = 336", "Divide: -5 / (-18) = 5/18", "Subtract: 8 - 5/18 = 139/18", "Subtract: 336 - 139/18 = 5909/18"], "final_answer": "5909/18", "answer_type": "rational", "kind": "expression", "math_text": "-56 * (-6) - (8 - (-5) / (-18))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -6, \"c\": 8, \"d\": -5, \"e\": -18}", "seed": "8265787561505412977", "semantic_fingerprint": "sha256:d0edae0a3fc13df7496de9a544fb2be0e68032eb0766dfee702f384f178493c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003304", "prompt": "What is (-71 + (-4 * 6 + (-31))) * (-5)?", "solution_steps": ["Multiply: -4 * 6 = -24", "Add: -24 + (-31) = -55", "Add: -71 + (-55) = -126", "Multiply: -126 * (-5) = 630"], "final_answer": "630", "answer_type": "integer", "kind": "expression", "math_text": "(-71 + (-4 * 6 + (-31))) * (-5)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -4, \"c\": 6, \"d\": -31, \"e\": -5}", "seed": "2988717396642062956", "semantic_fingerprint": "sha256:345bc2971c7e68037e2773adff44765dc5efce0719ddfe76a08411e89155ecd9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003305", "prompt": "Compute: -13 + (-976) + (635 * (45 + 36) - (-549))", "solution_steps": ["Add: -13 + (-976) = -989", "Add: 45 + 36 = 81", "Multiply: 635 * 81 = 51435", "Subtract: 51435 - (-549) = 51984", "Add: -989 + 51984 = 50995"], "final_answer": "50995", "answer_type": "integer", "kind": "expression", "math_text": "-13 + (-976) + (635 * (45 + 36) - (-549))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (* n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -976, \"c\": 635, \"d\": 45, \"e\": 36, \"f\": -549}", "seed": "17052835887221195724", "semantic_fingerprint": "sha256:bd386939a3c8cf2ec0e6b3252599fa23949ca0e5dc78dcbd5b5de9138b5fb4d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003306", "prompt": "What value of x satisfies -4(x - 622) - 186 = x + 18?", "solution_steps": ["Expand: -4x + 2488 - 186 = x + 18", "Combine constants: -4x + 2302 = x + 18", "Subtract x from both sides: -5x + 2302 = 18", "Subtract 2302 from both sides: -5x = -2284", "Divide both sides by -5: x = 2284/5"], "final_answer": "2284/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 622) - 186 = x + 18", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 622, \"c\": 186, \"d\": 18}", "seed": "13725614824224603903", "semantic_fingerprint": "sha256:b127219bf59ccf3029ba73b5db14e8f82fcace772a072f45c901968e98466825", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003307", "prompt": "What value of x satisfies 4x = -6(x + 4) - 76?", "solution_steps": ["Expand: 4x = -6x - 24 - 76", "Combine constants: 4x = -6x - 100", "Add 6x to both sides: 10x = -100", "Divide both sides by 10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -6(x + 4) - 76", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -6, \"c\": 4, \"e\": -76, \"x\": -10}", "seed": "13848846469184043495", "semantic_fingerprint": "sha256:c814e0827801d4b4e96efca8d98e25da8d4828142e989ec23c180ca7f1a5fd75", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003308", "prompt": "Compute: -95 / (-670 - (-1)) + (-3) * (-84) - 67", "solution_steps": ["Subtract: -670 - (-1) = -669", "Divide: -95 / (-669) = 95/669", "Multiply: -3 * (-84) = 252", "Add: 95/669 + 252 = 168683/669", "Subtract: 168683/669 - 67 = 123860/669"], "final_answer": "123860/669", "answer_type": "rational", "kind": "expression", "math_text": "-95 / (-670 - (-1)) + (-3) * (-84) - 67", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n (- n n)) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -670, \"c\": -1, \"d\": -3, \"e\": -84, \"f\": 67}", "seed": "13501720295953219396", "semantic_fingerprint": "sha256:7f84d1676eaecd706a121c4b3461b2cadf2d6f923d558dc36cdfcec20b63cad2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003309", "prompt": "Find x: 7(x - 717) - 34 = x + 974", "solution_steps": ["Expand: 7x - 5019 - 34 = x + 974", "Combine constants: 7x - 5053 = x + 974", "Subtract x from both sides: 6x - 5053 = 974", "Add 5053 to both sides: 6x = 6027", "Divide both sides by 6: x = 2009/2"], "final_answer": "2009/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 717) - 34 = x + 974", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 717, \"c\": 34, \"d\": 974}", "seed": "17622785631386426313", "semantic_fingerprint": "sha256:b598ce1b4cc217f254f4407839af8a7c695a22c32805f9c20fbc8070bef6966d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003310", "prompt": "Compute: 54 / (39 * (-46 + 14))", "solution_steps": ["Add: -46 + 14 = -32", "Multiply: 39 * (-32) = -1248", "Divide: 54 / (-1248) = -9/208"], "final_answer": "-9/208", "answer_type": "rational", "kind": "expression", "math_text": "54 / (39 * (-46 + 14))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 39, \"c\": -46, \"d\": 14}", "seed": "16401146403334134966", "semantic_fingerprint": "sha256:1b3e460ce8a2d81afd452e78de4ad3e7e38d9860c26e01dbb95f434fbdae3f46", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003311", "prompt": "Evaluate: 2 * (582 + (-462) * (-738))", "solution_steps": ["Multiply: -462 * (-738) = 340956", "Add: 582 + 340956 = 341538", "Multiply: 2 * 341538 = 683076"], "final_answer": "683076", "answer_type": "integer", "kind": "expression", "math_text": "2 * (582 + (-462) * (-738))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 582, \"c\": -462, \"d\": -738}", "seed": "1764052553263223130", "semantic_fingerprint": "sha256:3522a83a7472c7d4a96da7ab8b1e0d21bfd8dbfb0c2e73cd7bbd75fe46f1cd43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003312", "prompt": "What is 7 - (364 / (-52) + 27 - (-4)) / 3?", "solution_steps": ["Divide: 364 / (-52) = -7", "Add: -7 + 27 = 20", "Subtract: 20 - (-4) = 24", "Divide: 24 / 3 = 8", "Subtract: 7 - 8 = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "7 - (364 / (-52) + 27 - (-4)) / 3", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- (+ (/ n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 364, \"c\": -52, \"d\": 27, \"e\": -4, \"f\": 3}", "seed": "5715053931418088765", "semantic_fingerprint": "sha256:2741525e6f89136b9653053b136e25581a72892df57f792308d2a007c85a4591", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003313", "prompt": "Solve for x: 7x = 4(x + 6) - 33", "solution_steps": ["Expand: 7x = 4x + 24 - 33", "Combine constants: 7x = 4x - 9", "Subtract 4x from both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 4(x + 6) - 33", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 6, \"e\": -33, \"x\": -3}", "seed": "8348479090246993679", "semantic_fingerprint": "sha256:ec9b81b150b5bfa4a7b13278c0fe4714a309d1fc2292c36a5b6c5cf4dc666fba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003314", "prompt": "Find x: 12x - 785 = 2(x - 3)", "solution_steps": ["Expand: 12x - 785 = 2x - 6", "Subtract 2x from both sides: 10x - 785 = -6", "Add 785 to both sides: 10x = 779", "Divide both sides by 10: x = 779/10"], "final_answer": "779/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 785 = 2(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 785, \"c\": 2, \"d\": 3}", "seed": "11865023627131818213", "semantic_fingerprint": "sha256:65666d3ae142770cbfc8630729bd84d8cf01a1447788cbe9224072369c9768aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003315", "prompt": "Evaluate: 4 + (2 - (-5) * 39) / 14 * 0", "solution_steps": ["Multiply: -5 * 39 = -195", "Subtract: 2 - (-195) = 197", "Divide: 197 / 14 = 197/14", "Multiply: (197/14) * 0 = 0", "Add: 4 + 0 = 4"], "final_answer": "4", "answer_type": "integer", "kind": "expression", "math_text": "4 + (2 - (-5) * 39) / 14 * 0", "variable": null, "family": "expression_5op", "shape": "(+ n (* (/ (- n (* n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": -5, \"d\": 39, \"e\": 14, \"f\": 0}", "seed": "13521754374618132585", "semantic_fingerprint": "sha256:4a5df3238d0cdf6f39f734076fdd830a6bda78b45d8db42b1290a1101c5b0e11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003316", "prompt": "Compute: (1 + (-34) + (-47)) * (67 - 407)", "solution_steps": ["Add: 1 + (-34) = -33", "Add: -33 + (-47) = -80", "Subtract: 67 - 407 = -340", "Multiply: -80 * (-340) = 27200"], "final_answer": "27200", "answer_type": "integer", "kind": "expression", "math_text": "(1 + (-34) + (-47)) * (67 - 407)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -34, \"c\": -47, \"d\": 67, \"e\": 407}", "seed": "2398828108322516", "semantic_fingerprint": "sha256:4fb3c5a796e0d9785855968ce4715fb417b5146aa1a505a596b7e54bffa7ad0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003317", "prompt": "Find x: 12x - 7 = 6(x - 4)", "solution_steps": ["Expand: 12x - 7 = 6x - 24", "Subtract 6x from both sides: 6x - 7 = -24", "Add 7 to both sides: 6x = -17", "Divide both sides by 6: x = -17/6"], "final_answer": "-17/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 7 = 6(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 6, \"d\": 4}", "seed": "6749872934717177257", "semantic_fingerprint": "sha256:0e9298273d672671ad13ead08bd6a6a94353ce303298b262882048b2daa263e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003318", "prompt": "Evaluate: (638 - (-65) - 35) * 1", "solution_steps": ["Subtract: 638 - (-65) = 703", "Subtract: 703 - 35 = 668", "Multiply: 668 * 1 = 668"], "final_answer": "668", "answer_type": "integer", "kind": "expression", "math_text": "(638 - (-65) - 35) * 1", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 638, \"b\": -65, \"c\": 35, \"d\": 1}", "seed": "16713877139939858968", "semantic_fingerprint": "sha256:c7bf3c266e59abf11f919c1092dec7a0b30ec501f579ed336e22be92e8e42670", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003319", "prompt": "Compute: 9 - 9 / 54 - 8 / 8", "solution_steps": ["Divide: 9 / 54 = 1/6", "Subtract: 9 - 1/6 = 53/6", "Divide: 8 / 8 = 1", "Subtract: 53/6 - 1 = 47/6"], "final_answer": "47/6", "answer_type": "rational", "kind": "expression", "math_text": "9 - 9 / 54 - 8 / 8", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 54, \"d\": 8, \"e\": 8}", "seed": "16815847039610814834", "semantic_fingerprint": "sha256:7599770cf6347c29ebeb3cab8479b766c2583f7833ca1f1d8409f37591f3ed12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003320", "prompt": "Compute: 0 + (-2 - (-70 + (-31)))", "solution_steps": ["Add: -70 + (-31) = -101", "Subtract: -2 - (-101) = 99", "Add: 0 + 99 = 99"], "final_answer": "99", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-2 - (-70 + (-31)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": -70, \"d\": -31}", "seed": "2753035179188235835", "semantic_fingerprint": "sha256:98fe1c3e766bce5b786081a4954ff6de75f6d10141ac4b67571ebd3745aea0a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003321", "prompt": "What value of x satisfies 6(x + 6) + 823 = x + 899?", "solution_steps": ["Expand: 6x + 36 + 823 = x + 899", "Combine constants: 6x + 859 = x + 899", "Subtract x from both sides: 5x + 859 = 899", "Subtract 859 from both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 6) + 823 = x + 899", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 823, \"e\": 899, \"x\": 8}", "seed": "8607740277269608521", "semantic_fingerprint": "sha256:d20347d1a7074734d30836a593467ccf512c95c3bc552a44674d43f5aa5bd152", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003322", "prompt": "Compute: (-1 - 2) * (-955 / (8 + (-42 - 2)))", "solution_steps": ["Subtract: -1 - 2 = -3", "Subtract: -42 - 2 = -44", "Add: 8 + (-44) = -36", "Divide: -955 / (-36) = 955/36", "Multiply: -3 * (955/36) = -955/12"], "final_answer": "-955/12", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - 2) * (-955 / (8 + (-42 - 2)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 2, \"c\": -955, \"d\": 8, \"e\": -42, \"f\": 2}", "seed": "6646158782760248895", "semantic_fingerprint": "sha256:4b696837f36cfbe3f3d985952755427c8315bfcedb3c2faacb3aef5cecb045e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003323", "prompt": "Solve the equation 4x = -3(x + 44) + 251 for x.", "solution_steps": ["Expand: 4x = -3x - 132 + 251", "Combine constants: 4x = -3x + 119", "Add 3x to both sides: 7x = 119", "Divide both sides by 7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -3(x + 44) + 251", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -3, \"c\": 44, \"e\": 251, \"x\": 17}", "seed": "8176182277259377322", "semantic_fingerprint": "sha256:c324f381657ca517e29197703be7e9563f4695ce610c1d23635a4607e96fed89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003324", "prompt": "Solve for x: -9x - 87 = 12(x - 9)", "solution_steps": ["Expand: -9x - 87 = 12x - 108", "Subtract 12x from both sides: -21x - 87 = -108", "Add 87 to both sides: -21x = -21", "Divide both sides by -21: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 87 = 12(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 12, \"c\": 9, \"e\": -87, \"x\": 1}", "seed": "16167995279617121578", "semantic_fingerprint": "sha256:77fe612bc65d77a9d24e363e5bda83e91058ac8a0d8bd534f9381543fcc077cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003325", "prompt": "What is 3 - (-21) - (-49) / (-7) * (-44)?", "solution_steps": ["Subtract: 3 - (-21) = 24", "Divide: -49 / (-7) = 7", "Multiply: 7 * (-44) = -308", "Subtract: 24 - (-308) = 332"], "final_answer": "332", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-21) - (-49) / (-7) * (-44)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -21, \"c\": -49, \"d\": -7, \"e\": -44}", "seed": "1469351431914906840", "semantic_fingerprint": "sha256:0499a4e742ae4e9f1ab82069b0678fc49a202fcbcfa6e5223bb7da9512dcf65b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003326", "prompt": "Evaluate: 660 - (77 + (85 + (-27) * 49))", "solution_steps": ["Multiply: -27 * 49 = -1323", "Add: 85 + (-1323) = -1238", "Add: 77 + (-1238) = -1161", "Subtract: 660 - (-1161) = 1821"], "final_answer": "1821", "answer_type": "integer", "kind": "expression", "math_text": "660 - (77 + (85 + (-27) * 49))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 660, \"b\": 77, \"c\": 85, \"d\": -27, \"e\": 49}", "seed": "13687308856186902209", "semantic_fingerprint": "sha256:bbe3e7e70eceb61456583e7798d5893e2c5a49496d8f879ecbf6df3bcad66c00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003327", "prompt": "What is -17 * (-84 + (-6) + 7) * (65 / (-57))?", "solution_steps": ["Add: -84 + (-6) = -90", "Add: -90 + 7 = -83", "Multiply: -17 * (-83) = 1411", "Divide: 65 / (-57) = -65/57", "Multiply: 1411 * (-65/57) = -91715/57"], "final_answer": "-91715/57", "answer_type": "rational", "kind": "expression", "math_text": "-17 * (-84 + (-6) + 7) * (65 / (-57))", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ (+ n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -84, \"c\": -6, \"d\": 7, \"e\": 65, \"f\": -57}", "seed": "8950490981777100551", "semantic_fingerprint": "sha256:228d6907a342ee848303f1c25b490f45a42e69d80f0a90741ea4079176138528", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003328", "prompt": "Calculate: -53 * (-857) + (-76) + (-79)", "solution_steps": ["Multiply: -53 * (-857) = 45421", "Add: 45421 + (-76) = 45345", "Add: 45345 + (-79) = 45266"], "final_answer": "45266", "answer_type": "integer", "kind": "expression", "math_text": "-53 * (-857) + (-76) + (-79)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -857, \"c\": -76, \"d\": -79}", "seed": "8046758116059154501", "semantic_fingerprint": "sha256:4fe68d6501a6dbb99ce753bb4e43a8da44449467050105a4f2f824db14908905", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003329", "prompt": "What is (4 + (-21)) / (5 + (-674))?", "solution_steps": ["Add: 4 + (-21) = -17", "Add: 5 + (-674) = -669", "Divide: -17 / (-669) = 17/669"], "final_answer": "17/669", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-21)) / (5 + (-674))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -21, \"c\": 5, \"d\": -674}", "seed": "9920002691592509542", "semantic_fingerprint": "sha256:bb2de73b9f7dc944d6a994209bfcfc38867295d6e4c4cd7e681e8977e2af029e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003330", "prompt": "Solve for x: 4(x + 4) + 53 = x + 9", "solution_steps": ["Expand: 4x + 16 + 53 = x + 9", "Combine constants: 4x + 69 = x + 9", "Subtract x from both sides: 3x + 69 = 9", "Subtract 69 from both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 4) + 53 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 53, \"e\": 9, \"x\": -20}", "seed": "18278514397337735171", "semantic_fingerprint": "sha256:6ccfc228948e14502967b5bc230415ee1c5d515dc40fa55cf212ff21c8d18e92", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003331", "prompt": "Compute: 791 * (-8 * (-34)) + (-72)", "solution_steps": ["Multiply: -8 * (-34) = 272", "Multiply: 791 * 272 = 215152", "Add: 215152 + (-72) = 215080"], "final_answer": "215080", "answer_type": "integer", "kind": "expression", "math_text": "791 * (-8 * (-34)) + (-72)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 791, \"b\": -8, \"c\": -34, \"d\": -72}", "seed": "9866065872662458690", "semantic_fingerprint": "sha256:a9909326be1b00a6ee3b2e950049506bdc31c65e90414ecf6a18b95aa86e964e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003332", "prompt": "Solve the equation 4x = -11(x + 5) + 220 for x.", "solution_steps": ["Expand: 4x = -11x - 55 + 220", "Combine constants: 4x = -11x + 165", "Add 11x to both sides: 15x = 165", "Divide both sides by 15: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -11(x + 5) + 220", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -11, \"c\": 5, \"e\": 220, \"x\": 11}", "seed": "18037526475656830047", "semantic_fingerprint": "sha256:10d2973c8a998b119cd18ce2e2d7355d7721ca47e631b6f98297ec0a07479bc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003333", "prompt": "Find x: -5(x - 5) - 14 = x + 4", "solution_steps": ["Expand: -5x + 25 - 14 = x + 4", "Combine constants: -5x + 11 = x + 4", "Subtract x from both sides: -6x + 11 = 4", "Subtract 11 from both sides: -6x = -7", "Divide both sides by -6: x = 7/6"], "final_answer": "7/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 5) - 14 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 14, \"d\": 4}", "seed": "15079246638966785863", "semantic_fingerprint": "sha256:d0593e90cc093352ff4674bf65cbd32569ad14ae7460aed4556a63d39d1b6494", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003334", "prompt": "What is 294 * (550 - 233) * (-2 * 8 / 81)?", "solution_steps": ["Subtract: 550 - 233 = 317", "Multiply: 294 * 317 = 93198", "Multiply: -2 * 8 = -16", "Divide: -16 / 81 = -16/81", "Multiply: 93198 * (-16/81) = -497056/27"], "final_answer": "-497056/27", "answer_type": "rational", "kind": "expression", "math_text": "294 * (550 - 233) * (-2 * 8 / 81)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 294, \"b\": 550, \"c\": 233, \"d\": -2, \"e\": 8, \"f\": 81}", "seed": "8403870262655786554", "semantic_fingerprint": "sha256:d284e543ed4f8f966d40f634ccf30fef754daba90257486083e04003a3e13293", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003335", "prompt": "Compute: -6 - (581 - (-6 - (-626))) / (26 - 898)", "solution_steps": ["Subtract: -6 - (-626) = 620", "Subtract: 581 - 620 = -39", "Subtract: 26 - 898 = -872", "Divide: -39 / (-872) = 39/872", "Subtract: -6 - 39/872 = -5271/872"], "final_answer": "-5271/872", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (581 - (-6 - (-626))) / (26 - 898)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n (- n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 581, \"c\": -6, \"d\": -626, \"e\": 26, \"f\": 898}", "seed": "14832329442881192230", "semantic_fingerprint": "sha256:5afb68d112d2d160a152c3639845f30562a6f9f5772cd0248164834615ce4071", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003336", "prompt": "Solve for x: 8x - 60 = 2x - 30", "solution_steps": ["Subtract 2x from both sides: 6x - 60 = -30", "Add 60 to both sides: 6x = 30", "Divide both sides by 6: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 60 = 2x - 30", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 60, \"c\": 2, \"e\": -30, \"x\": 5}", "seed": "14666506610975011107", "semantic_fingerprint": "sha256:0e933499ecb200aea20ae4f7e9c509ebdb3e77b24a5d3390682fbe22bcbde71a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003337", "prompt": "Solve the equation 9(x - 85) + 957 = 4(x + 63) for x.", "solution_steps": ["Expand: 9x - 765 + 957 = 4(x + 63)", "Expand: 9x - 765 + 957 = 4x + 252", "Combine constants: 9x + 192 = 4x + 252", "Subtract 4x from both sides: 5x + 192 = 252", "Subtract 192 from both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 85) + 957 = 4(x + 63)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 85, \"c\": 4, \"d\": 63, \"f\": 957, \"x\": 12}", "seed": "14080963924047261265", "semantic_fingerprint": "sha256:6bc96c85daff4d3a3ec121fe04cbd8f2c7303246f131759905e5e70510a55f1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003338", "prompt": "Solve for x: -8(x - 70) - 8 = x + 435", "solution_steps": ["Expand: -8x + 560 - 8 = x + 435", "Combine constants: -8x + 552 = x + 435", "Subtract x from both sides: -9x + 552 = 435", "Subtract 552 from both sides: -9x = -117", "Divide both sides by -9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 70) - 8 = x + 435", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 70, \"c\": 8, \"e\": 435, \"x\": 13}", "seed": "18223603977976076706", "semantic_fingerprint": "sha256:43bca2e5de56ab8ffca85e3570b5d5fee4bfcca7a16f9ee7f33fb23ed085ae3a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003339", "prompt": "Compute: 8 * (44 * 1) + 640", "solution_steps": ["Multiply: 44 * 1 = 44", "Multiply: 8 * 44 = 352", "Add: 352 + 640 = 992"], "final_answer": "992", "answer_type": "integer", "kind": "expression", "math_text": "8 * (44 * 1) + 640", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 44, \"c\": 1, \"d\": 640}", "seed": "5489341636535327782", "semantic_fingerprint": "sha256:cea7f12b7771faf58b577529ca917495c2bf34606d96d079b826d7144e95a62d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003340", "prompt": "Solve the equation -12x - 197 = 11(x - 20) for x.", "solution_steps": ["Expand: -12x - 197 = 11x - 220", "Subtract 11x from both sides: -23x - 197 = -220", "Add 197 to both sides: -23x = -23", "Divide both sides by -23: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 197 = 11(x - 20)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 11, \"c\": 20, \"e\": -197, \"x\": 1}", "seed": "12099128156510042730", "semantic_fingerprint": "sha256:4d927e72b3c34d304c38cb102f2eef75bce66dda7c63cda6e621d74ab762dcfa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003341", "prompt": "Compute: 52 + (-11) * 86 + (-641) - 65", "solution_steps": ["Multiply: -11 * 86 = -946", "Add: 52 + (-946) = -894", "Add: -894 + (-641) = -1535", "Subtract: -1535 - 65 = -1600"], "final_answer": "-1600", "answer_type": "integer", "kind": "expression", "math_text": "52 + (-11) * 86 + (-641) - 65", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -11, \"c\": 86, \"d\": -641, \"e\": 65}", "seed": "17592556827707556997", "semantic_fingerprint": "sha256:4abe86053925233887f11d3392debe8638336e2f01fb029e9be2bdbf3d23d315", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003342", "prompt": "Find x: 2x = 6(x + 2) + 4", "solution_steps": ["Expand: 2x = 6x + 12 + 4", "Combine constants: 2x = 6x + 16", "Subtract 6x from both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 6(x + 2) + 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 2, \"e\": 4, \"x\": -4}", "seed": "17701735240717266913", "semantic_fingerprint": "sha256:bb1849cf18d46a10ef31e7dde1d9874c8c0357927b0da55539b108692902e1eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003343", "prompt": "Find x: 4x - 149 = 9(x - 26)", "solution_steps": ["Expand: 4x - 149 = 9x - 234", "Subtract 9x from both sides: -5x - 149 = -234", "Add 149 to both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 149 = 9(x - 26)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 26, \"e\": -149, \"x\": 17}", "seed": "5968663195873296191", "semantic_fingerprint": "sha256:755879bd8f1b2d2b34447aea84c6ade2aba65146883692552dea717ad6bcb3c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003344", "prompt": "What value of x satisfies 12x - 114 = 5(x - 6)?", "solution_steps": ["Expand: 12x - 114 = 5x - 30", "Subtract 5x from both sides: 7x - 114 = -30", "Add 114 to both sides: 7x = 84", "Divide both sides by 7: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 114 = 5(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 6, \"e\": -114, \"x\": 12}", "seed": "5152489438026557684", "semantic_fingerprint": "sha256:71059d01f15d9fa870c4e6475f0c81047d328d9a3d3714d7325747b35b147dee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003345", "prompt": "Find x: 2(x - 38) + 21 = 11(x + 4)", "solution_steps": ["Expand: 2x - 76 + 21 = 11(x + 4)", "Expand: 2x - 76 + 21 = 11x + 44", "Combine constants: 2x - 55 = 11x + 44", "Subtract 11x from both sides: -9x - 55 = 44", "Add 55 to both sides: -9x = 99", "Divide both sides by -9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 38) + 21 = 11(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 38, \"c\": 11, \"d\": 4, \"f\": 21, \"x\": -11}", "seed": "5784476372266028457", "semantic_fingerprint": "sha256:6b6b625e00c52f88cce7eb6809764a6662057ed455a9845108bff46934db0342", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003346", "prompt": "Compute: 78 * 9 + 14 * (-2)", "solution_steps": ["Multiply: 78 * 9 = 702", "Multiply: 14 * (-2) = -28", "Add: 702 + (-28) = 674"], "final_answer": "674", "answer_type": "integer", "kind": "expression", "math_text": "78 * 9 + 14 * (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 9, \"c\": 14, \"d\": -2}", "seed": "7570826410203966654", "semantic_fingerprint": "sha256:c86223887815a9c67ea834644fb0281a824b37de1187c7b6d0ad5d068057d592", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003347", "prompt": "What value of x satisfies 4(x + 5) + 91 = x + 9?", "solution_steps": ["Expand: 4x + 20 + 91 = x + 9", "Combine constants: 4x + 111 = x + 9", "Subtract x from both sides: 3x + 111 = 9", "Subtract 111 from both sides: 3x = -102", "Divide both sides by 3: x = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 5) + 91 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 91, \"d\": 9}", "seed": "3459538551826034606", "semantic_fingerprint": "sha256:a45d12547b2380cd706544641faaf422a66fd33bdd7af29d6bf0f04a3b475452", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003348", "prompt": "Compute: 320 - (-15 + (-97)) / (-34)", "solution_steps": ["Add: -15 + (-97) = -112", "Divide: -112 / (-34) = 56/17", "Subtract: 320 - 56/17 = 5384/17"], "final_answer": "5384/17", "answer_type": "rational", "kind": "expression", "math_text": "320 - (-15 + (-97)) / (-34)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 320, \"b\": -15, \"c\": -97, \"d\": -34}", "seed": "14740094708317272996", "semantic_fingerprint": "sha256:d998439b1fbf88a655255738f8c5f5f93819276fa43655bce2e52ca9f945b4f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003349", "prompt": "Calculate: (-793 + 2) / (-3 + (-59))", "solution_steps": ["Add: -793 + 2 = -791", "Add: -3 + (-59) = -62", "Divide: -791 / (-62) = 791/62"], "final_answer": "791/62", "answer_type": "rational", "kind": "expression", "math_text": "(-793 + 2) / (-3 + (-59))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -793, \"b\": 2, \"c\": -3, \"d\": -59}", "seed": "5654544888245475720", "semantic_fingerprint": "sha256:6d940d27e4fcadca9638c3f66c6e38a3395c26dfe569ce717b7dffa0350dcc0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003350", "prompt": "Calculate: 32 * 0 + (-465 - (-866))", "solution_steps": ["Multiply: 32 * 0 = 0", "Subtract: -465 - (-866) = 401", "Add: 0 + 401 = 401"], "final_answer": "401", "answer_type": "integer", "kind": "expression", "math_text": "32 * 0 + (-465 - (-866))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 0, \"c\": -465, \"d\": -866}", "seed": "14399782282161078848", "semantic_fingerprint": "sha256:f849e55c23bf5c7652add98913768cddc956b56aa9ce1f6c9dd0e2bc143e9a2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003351", "prompt": "Calculate: (54 + 7 - 2) * (-1 + (-12)) + (-3)", "solution_steps": ["Add: 54 + 7 = 61", "Subtract: 61 - 2 = 59", "Add: -1 + (-12) = -13", "Multiply: 59 * (-13) = -767", "Add: -767 + (-3) = -770"], "final_answer": "-770", "answer_type": "integer", "kind": "expression", "math_text": "(54 + 7 - 2) * (-1 + (-12)) + (-3)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 7, \"c\": 2, \"d\": -1, \"e\": -12, \"f\": -3}", "seed": "9843926547483984201", "semantic_fingerprint": "sha256:fc2e3ea06a038c553f13d1e574978839f3eb5e801973ac56c54ec218d3cf1ccf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003352", "prompt": "Solve for x: -6(x + 4) + 7 = x + 46", "solution_steps": ["Expand: -6x - 24 + 7 = x + 46", "Combine constants: -6x - 17 = x + 46", "Subtract x from both sides: -7x - 17 = 46", "Add 17 to both sides: -7x = 63", "Divide both sides by -7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 4) + 7 = x + 46", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 7, \"e\": 46, \"x\": -9}", "seed": "16680101062122307832", "semantic_fingerprint": "sha256:9da7e4a1e1dbe608114372593ac61dd1d806c9f8ae73d5538e69882418787f53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003353", "prompt": "Compute: -1 * (-36) + 41 + 24", "solution_steps": ["Multiply: -1 * (-36) = 36", "Add: 36 + 41 = 77", "Add: 77 + 24 = 101"], "final_answer": "101", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-36) + 41 + 24", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -36, \"c\": 41, \"d\": 24}", "seed": "7412862655032014039", "semantic_fingerprint": "sha256:0819a415042bba4504247056e923fb04eba91715705a9c999be9be8cdd2a4b83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003354", "prompt": "Calculate: 90 / 162 / (-795) - 64", "solution_steps": ["Divide: 90 / 162 = 5/9", "Divide: (5/9) / (-795) = -1/1431", "Subtract: -1/1431 - 64 = -91585/1431"], "final_answer": "-91585/1431", "answer_type": "rational", "kind": "expression", "math_text": "90 / 162 / (-795) - 64", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 162, \"c\": -795, \"d\": 64}", "seed": "10809693542805609525", "semantic_fingerprint": "sha256:4bf7470047db099019b1e624e6c445091fab6333b6775a2ef2b8388d5d9730e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003355", "prompt": "What is (27 - (-9) * 1) / (-7)?", "solution_steps": ["Multiply: -9 * 1 = -9", "Subtract: 27 - (-9) = 36", "Divide: 36 / (-7) = -36/7"], "final_answer": "-36/7", "answer_type": "rational", "kind": "expression", "math_text": "(27 - (-9) * 1) / (-7)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -9, \"c\": 1, \"d\": -7}", "seed": "15100374621830525035", "semantic_fingerprint": "sha256:fc65044b518efa2d8e1d9c28afafd201bdc273c48b288208b3f3fafcf0f55563", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003356", "prompt": "Compute: 7 - (-8 + (-8)) * 504 - (-36)", "solution_steps": ["Add: -8 + (-8) = -16", "Multiply: -16 * 504 = -8064", "Subtract: 7 - (-8064) = 8071", "Subtract: 8071 - (-36) = 8107"], "final_answer": "8107", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-8 + (-8)) * 504 - (-36)", "variable": null, "family": "expression_4op", "shape": "(- (- n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": -8, \"d\": 504, \"e\": -36}", "seed": "8673600678409747135", "semantic_fingerprint": "sha256:d4b03ead9e008cee0aa2c2a61605ac49bb4316f8418bcffe08e3eab9e29749c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003357", "prompt": "Evaluate: -7 - 552 + (-8) * (0 - (-223)) + (-38)", "solution_steps": ["Subtract: -7 - 552 = -559", "Subtract: 0 - (-223) = 223", "Multiply: -8 * 223 = -1784", "Add: -559 + (-1784) = -2343", "Add: -2343 + (-38) = -2381"], "final_answer": "-2381", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 552 + (-8) * (0 - (-223)) + (-38)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) (* n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 552, \"c\": -8, \"d\": 0, \"e\": -223, \"f\": -38}", "seed": "2165569119330566828", "semantic_fingerprint": "sha256:a411cb4f5a5ae6ec70324ce713b6fe26d796d4ae5b859302e2168ee0097cfd0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003358", "prompt": "What value of x satisfies 12(x + 39) = 5(x - 6) + 519?", "solution_steps": ["Expand: 12x + 468 = 5(x - 6) + 519", "Expand: 12x + 468 = 5x - 30 + 519", "Combine constants: 12x + 468 = 5x + 489", "Subtract 5x from both sides: 7x + 468 = 489", "Subtract 468 from both sides: 7x = 21", "Divide both sides by 7: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 39) = 5(x - 6) + 519", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 39, \"c\": 5, \"d\": 6, \"f\": 519, \"x\": 3}", "seed": "5607648323121633339", "semantic_fingerprint": "sha256:c712b309a357de26ef0e511920f36e3507d530563902f162375c20aa7ebaa73d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003359", "prompt": "Calculate: -6 - (0 - (-587 + (-21 + 94)))", "solution_steps": ["Add: -21 + 94 = 73", "Add: -587 + 73 = -514", "Subtract: 0 - (-514) = 514", "Subtract: -6 - 514 = -520"], "final_answer": "-520", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (0 - (-587 + (-21 + 94)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -587, \"d\": -21, \"e\": 94}", "seed": "12138538377664002509", "semantic_fingerprint": "sha256:dcd56a31aa937cf33b08cf61b5b7b5e08a55f7dbdb9fb15e96fb3c8331ab7d04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003360", "prompt": "Evaluate: 6 * (37 - (-46)) * (53 - (-884) + 60)", "solution_steps": ["Subtract: 37 - (-46) = 83", "Multiply: 6 * 83 = 498", "Subtract: 53 - (-884) = 937", "Add: 937 + 60 = 997", "Multiply: 498 * 997 = 496506"], "final_answer": "496506", "answer_type": "integer", "kind": "expression", "math_text": "6 * (37 - (-46)) * (53 - (-884) + 60)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 37, \"c\": -46, \"d\": 53, \"e\": -884, \"f\": 60}", "seed": "9905787972449180027", "semantic_fingerprint": "sha256:fa8d8a9233e6728880bb3ba2aa5a7e3f6e7298d78a8132e57f20ac02bf386aa0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003361", "prompt": "Solve for x: 11(x + 29) + 96 = x + 415", "solution_steps": ["Expand: 11x + 319 + 96 = x + 415", "Combine constants: 11x + 415 = x + 415", "Subtract x from both sides: 10x + 415 = 415", "Subtract 415 from both sides: 10x = 0", "Divide both sides by 10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 29) + 96 = x + 415", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 29, \"c\": 96, \"e\": 415, \"x\": 0}", "seed": "1596839718549826109", "semantic_fingerprint": "sha256:4b8a2fa57f7484c9b87f8cfd14976cec645f04c6b53fecce562246b749636e6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003362", "prompt": "Compute: -937 / 5 / (8 / (-85 + (-132)))", "solution_steps": ["Divide: -937 / 5 = -937/5", "Add: -85 + (-132) = -217", "Divide: 8 / (-217) = -8/217", "Divide: (-937/5) / (-8/217) = 203329/40"], "final_answer": "203329/40", "answer_type": "rational", "kind": "expression", "math_text": "-937 / 5 / (8 / (-85 + (-132)))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -937, \"b\": 5, \"c\": 8, \"d\": -85, \"e\": -132}", "seed": "10572827776620340041", "semantic_fingerprint": "sha256:3487bd8ecbc1769d38178a5f9c1bc97846e748052741f120dd038f870faaaed0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003363", "prompt": "Calculate: -466 / (323 * (9 / (-36 * 9)))", "solution_steps": ["Multiply: -36 * 9 = -324", "Divide: 9 / (-324) = -1/36", "Multiply: 323 * (-1/36) = -323/36", "Divide: -466 / (-323/36) = 16776/323"], "final_answer": "16776/323", "answer_type": "rational", "kind": "expression", "math_text": "-466 / (323 * (9 / (-36 * 9)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -466, \"b\": 323, \"c\": 9, \"d\": -36, \"e\": 9}", "seed": "8524883355549048467", "semantic_fingerprint": "sha256:bc8f47a48510b4b6b665bd514fae18621b4814fccc70724cd9e1e14d97cfc98d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003364", "prompt": "Find x: -6(x + 53) + 38 = x + 8", "solution_steps": ["Expand: -6x - 318 + 38 = x + 8", "Combine constants: -6x - 280 = x + 8", "Subtract x from both sides: -7x - 280 = 8", "Add 280 to both sides: -7x = 288", "Divide both sides by -7: x = -288/7"], "final_answer": "-288/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 53) + 38 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 53, \"c\": 38, \"d\": 8}", "seed": "17623268388722522761", "semantic_fingerprint": "sha256:904f611b8922ee6866f8ceff58ce2ae8c4340b608bc1df8cc005f0380528c91f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003365", "prompt": "Compute: 7 * (-52) * (30 * (-32 + 80))", "solution_steps": ["Multiply: 7 * (-52) = -364", "Add: -32 + 80 = 48", "Multiply: 30 * 48 = 1440", "Multiply: -364 * 1440 = -524160"], "final_answer": "-524160", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-52) * (30 * (-32 + 80))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -52, \"c\": 30, \"d\": -32, \"e\": 80}", "seed": "1610573623095340726", "semantic_fingerprint": "sha256:4fbdf32240df271e3db502ad5a13c8f04b529bfa555c3167f97a656d1a40ab91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003366", "prompt": "Solve for x: 2(x + 31) + 12 = x + 59", "solution_steps": ["Expand: 2x + 62 + 12 = x + 59", "Combine constants: 2x + 74 = x + 59", "Subtract x from both sides: x + 74 = 59", "Subtract 74 from both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 31) + 12 = x + 59", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 31, \"c\": 12, \"e\": 59, \"x\": -15}", "seed": "12413278599878444281", "semantic_fingerprint": "sha256:a68437c3d9a434194a22edd5128029f5d7c4534e7af941a3adffbebc90647543", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003367", "prompt": "Solve the equation 6x = -4(x + 6) + 3 for x.", "solution_steps": ["Expand: 6x = -4x - 24 + 3", "Combine constants: 6x = -4x - 21", "Add 4x to both sides: 10x = -21", "Divide both sides by 10: x = -21/10"], "final_answer": "-21/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = -4(x + 6) + 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": 6, \"d\": 3}", "seed": "159762671852918733", "semantic_fingerprint": "sha256:b5cf1a310efe9b8b8666270fff781d7b66523ee529d1b21865206deabf6b8158", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003368", "prompt": "Compute: (348 * 0 - 82) * (65 / 871 * (-2))", "solution_steps": ["Multiply: 348 * 0 = 0", "Subtract: 0 - 82 = -82", "Divide: 65 / 871 = 5/67", "Multiply: (5/67) * (-2) = -10/67", "Multiply: -82 * (-10/67) = 820/67"], "final_answer": "820/67", "answer_type": "rational", "kind": "expression", "math_text": "(348 * 0 - 82) * (65 / 871 * (-2))", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 348, \"b\": 0, \"c\": 82, \"d\": 65, \"e\": 871, \"f\": -2}", "seed": "5520267248748975754", "semantic_fingerprint": "sha256:2529af316528cf8413fc262d65debe22842fe352ec731bf14a7147e5411d0d3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003369", "prompt": "What is 5 * (-846) + (0 - (-89))?", "solution_steps": ["Multiply: 5 * (-846) = -4230", "Subtract: 0 - (-89) = 89", "Add: -4230 + 89 = -4141"], "final_answer": "-4141", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-846) + (0 - (-89))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -846, \"c\": 0, \"d\": -89}", "seed": "597487123035642753", "semantic_fingerprint": "sha256:d6062fff40c41d5c5bee069adce4968e637cc1c21488226fca1df74cc3751eb9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003370", "prompt": "Solve for x: 10(x + 7) + 84 = x + 6", "solution_steps": ["Expand: 10x + 70 + 84 = x + 6", "Combine constants: 10x + 154 = x + 6", "Subtract x from both sides: 9x + 154 = 6", "Subtract 154 from both sides: 9x = -148", "Divide both sides by 9: x = -148/9"], "final_answer": "-148/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 7) + 84 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 84, \"d\": 6}", "seed": "3676564724873723412", "semantic_fingerprint": "sha256:31230f8e1bafd38e5991f2e0dabb867df81b76955de94fd0b44b61395712b0d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003371", "prompt": "Evaluate: -6 / (-31) + (56 - (-3) * 5) * 9", "solution_steps": ["Divide: -6 / (-31) = 6/31", "Multiply: -3 * 5 = -15", "Subtract: 56 - (-15) = 71", "Multiply: 71 * 9 = 639", "Add: 6/31 + 639 = 19815/31"], "final_answer": "19815/31", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-31) + (56 - (-3) * 5) * 9", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* (- n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -31, \"c\": 56, \"d\": -3, \"e\": 5, \"f\": 9}", "seed": "14602170171285482387", "semantic_fingerprint": "sha256:a5e128279bc42f459ad2d94af8c75a24c814f19e311393deaf7d4e2c7ebf8d71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003372", "prompt": "What is 532 * (-45) + (0 - (-46))?", "solution_steps": ["Multiply: 532 * (-45) = -23940", "Subtract: 0 - (-46) = 46", "Add: -23940 + 46 = -23894"], "final_answer": "-23894", "answer_type": "integer", "kind": "expression", "math_text": "532 * (-45) + (0 - (-46))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 532, \"b\": -45, \"c\": 0, \"d\": -46}", "seed": "11800523369456712205", "semantic_fingerprint": "sha256:87c33fe90587f5b3f652115dc3ae17c0fc45c35429c4d9ef16de2b92930635a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003373", "prompt": "Solve for x: -9x - 28 = 5x - 42", "solution_steps": ["Subtract 5x from both sides: -14x - 28 = -42", "Add 28 to both sides: -14x = -14", "Divide both sides by -14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 28 = 5x - 42", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 28, \"c\": 5, \"e\": -42, \"x\": 1}", "seed": "12865206871601301281", "semantic_fingerprint": "sha256:23eb88207ff10f86134520f917f3daea5aed47d1c77cbaa3609c8ffcfcec0e44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003374", "prompt": "Evaluate: -394 / (21 / (-4)) + 56", "solution_steps": ["Divide: 21 / (-4) = -21/4", "Divide: -394 / (-21/4) = 1576/21", "Add: 1576/21 + 56 = 2752/21"], "final_answer": "2752/21", "answer_type": "rational", "kind": "expression", "math_text": "-394 / (21 / (-4)) + 56", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -394, \"b\": 21, \"c\": -4, \"d\": 56}", "seed": "17219062960446629414", "semantic_fingerprint": "sha256:9bf820c10ae773cbdc735433e7b7353d03cd764dad07b837e4f4d38138cabdbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003375", "prompt": "What value of x satisfies 5x = 11(x + 18) + 628?", "solution_steps": ["Expand: 5x = 11x + 198 + 628", "Combine constants: 5x = 11x + 826", "Subtract 11x from both sides: -6x = 826", "Divide both sides by -6: x = -413/3"], "final_answer": "-413/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 11(x + 18) + 628", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"c\": 18, \"d\": 628}", "seed": "16282310452403358395", "semantic_fingerprint": "sha256:95f143cd167b219c2ea37351a9b6310ca10c4b628d66383487c3eb4f2c4bc3a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003376", "prompt": "What value of x satisfies 11(x + 44) - 63 = x + 371?", "solution_steps": ["Expand: 11x + 484 - 63 = x + 371", "Combine constants: 11x + 421 = x + 371", "Subtract x from both sides: 10x + 421 = 371", "Subtract 421 from both sides: 10x = -50", "Divide both sides by 10: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 44) - 63 = x + 371", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 44, \"c\": 63, \"e\": 371, \"x\": -5}", "seed": "15735463604274770933", "semantic_fingerprint": "sha256:389fada82b99e699e87095a509df3efb186b614e3aa9bbf03bad2e222501608a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003377", "prompt": "What is -4 / (239 / 45) / (-1 + 9)?", "solution_steps": ["Divide: 239 / 45 = 239/45", "Divide: -4 / (239/45) = -180/239", "Add: -1 + 9 = 8", "Divide: (-180/239) / 8 = -45/478"], "final_answer": "-45/478", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (239 / 45) / (-1 + 9)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 239, \"c\": 45, \"d\": -1, \"e\": 9}", "seed": "12738685810915397689", "semantic_fingerprint": "sha256:a2b144d99ff9de9a7b7a5dadbfe50e4465e2e738b24e1433870405924da4b1c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003378", "prompt": "What is (-931 - 705 * 350) / (-888)?", "solution_steps": ["Multiply: 705 * 350 = 246750", "Subtract: -931 - 246750 = -247681", "Divide: -247681 / (-888) = 247681/888"], "final_answer": "247681/888", "answer_type": "rational", "kind": "expression", "math_text": "(-931 - 705 * 350) / (-888)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -931, \"b\": 705, \"c\": 350, \"d\": -888}", "seed": "5627068537918300055", "semantic_fingerprint": "sha256:7eb36ac4c07d9d32bd74cea9445071960a2854ef899d8158a424be5528135f79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003379", "prompt": "Evaluate: (-9 + 13) / (-11 / (-484) + (-7))", "solution_steps": ["Add: -9 + 13 = 4", "Divide: -11 / (-484) = 1/44", "Add: 1/44 + (-7) = -307/44", "Divide: 4 / (-307/44) = -176/307"], "final_answer": "-176/307", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 13) / (-11 / (-484) + (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 13, \"c\": -11, \"d\": -484, \"e\": -7}", "seed": "3665425657521884203", "semantic_fingerprint": "sha256:f8138a84adf57d176ab766b3fcc1bd42546e7532c2c835f3b6bc91614d083868", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003380", "prompt": "Calculate: -1 * ((43 - (-22) * 583) / 238 + 960)", "solution_steps": ["Multiply: -22 * 583 = -12826", "Subtract: 43 - (-12826) = 12869", "Divide: 12869 / 238 = 757/14", "Add: 757/14 + 960 = 14197/14", "Multiply: -1 * (14197/14) = -14197/14"], "final_answer": "-14197/14", "answer_type": "rational", "kind": "expression", "math_text": "-1 * ((43 - (-22) * 583) / 238 + 960)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (/ (- n (* n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 43, \"c\": -22, \"d\": 583, \"e\": 238, \"f\": 960}", "seed": "8849288390487372524", "semantic_fingerprint": "sha256:07c170cd97fce5cfdaa5dd2015a03b525e8fc7f3bd76e1acea47051ad1a54d9d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003381", "prompt": "Compute: 64 + (-5 - (-7)) + (-21)", "solution_steps": ["Subtract: -5 - (-7) = 2", "Add: 64 + 2 = 66", "Add: 66 + (-21) = 45"], "final_answer": "45", "answer_type": "integer", "kind": "expression", "math_text": "64 + (-5 - (-7)) + (-21)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -5, \"c\": -7, \"d\": -21}", "seed": "3965558705178084459", "semantic_fingerprint": "sha256:68c07b4dddb6cf994f84120c2bdfe0284161033e0325416c9f8c12b0d5d24c78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003382", "prompt": "Solve the equation -5(x + 2) = 9(x - 6) + 254 for x.", "solution_steps": ["Expand: -5x - 10 = 9(x - 6) + 254", "Expand: -5x - 10 = 9x - 54 + 254", "Combine constants: -5x - 10 = 9x + 200", "Subtract 9x from both sides: -14x - 10 = 200", "Add 10 to both sides: -14x = 210", "Divide both sides by -14: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 2) = 9(x - 6) + 254", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 9, \"d\": 6, \"f\": 254, \"x\": -15}", "seed": "7452399901511710541", "semantic_fingerprint": "sha256:7204caec02650dbe13759b999307a5c46ad20519736b53ffdcde0db44bcae222", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003383", "prompt": "What is -95 / (-8) / 2 - 61?", "solution_steps": ["Divide: -95 / (-8) = 95/8", "Divide: (95/8) / 2 = 95/16", "Subtract: 95/16 - 61 = -881/16"], "final_answer": "-881/16", "answer_type": "rational", "kind": "expression", "math_text": "-95 / (-8) / 2 - 61", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -8, \"c\": 2, \"d\": 61}", "seed": "10386001441002126212", "semantic_fingerprint": "sha256:124438a57167a2ef99c9f44945847916859108782d3144ed38f3152490617d37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003384", "prompt": "Calculate: 8 + (75 - 91) + 753", "solution_steps": ["Subtract: 75 - 91 = -16", "Add: 8 + (-16) = -8", "Add: -8 + 753 = 745"], "final_answer": "745", "answer_type": "integer", "kind": "expression", "math_text": "8 + (75 - 91) + 753", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 75, \"c\": 91, \"d\": 753}", "seed": "14475383964999773239", "semantic_fingerprint": "sha256:7937194876eaf9d1866c3a79cea2abf1173cff4f2d669b15b7a30fc1bcfdf856", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003385", "prompt": "Calculate: (16 + (-51)) * (0 * (-4) / (429 - (-5)))", "solution_steps": ["Add: 16 + (-51) = -35", "Multiply: 0 * (-4) = 0", "Subtract: 429 - (-5) = 434", "Divide: 0 / 434 = 0", "Multiply: -35 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(16 + (-51)) * (0 * (-4) / (429 - (-5)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -51, \"c\": 0, \"d\": -4, \"e\": 429, \"f\": -5}", "seed": "10360991604764822445", "semantic_fingerprint": "sha256:f8761dab61f6a06ba3ee7acaa459f0bee08813bfa88942a90bd05f86c7494df3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003386", "prompt": "Solve the equation -3(x - 83) + 3 = -4(x + 61) for x.", "solution_steps": ["Expand: -3x + 249 + 3 = -4(x + 61)", "Expand: -3x + 249 + 3 = -4x - 244", "Combine constants: -3x + 252 = -4x - 244", "Add 4x to both sides: x + 252 = -244", "Subtract 252 from both sides: x = -496"], "final_answer": "-496", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 83) + 3 = -4(x + 61)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 83, \"c\": 3, \"d\": -4, \"e\": 61}", "seed": "1437922908716997024", "semantic_fingerprint": "sha256:77f7b04f273ceddd995c2a1e691c82bf95fc27ed449794d6ba976f7af12b5f2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003387", "prompt": "Find x: 4x = 2(x + 40) - 60", "solution_steps": ["Expand: 4x = 2x + 80 - 60", "Combine constants: 4x = 2x + 20", "Subtract 2x from both sides: 2x = 20", "Divide both sides by 2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 2(x + 40) - 60", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 40, \"e\": -60, \"x\": 10}", "seed": "3538562624963907137", "semantic_fingerprint": "sha256:6114a6b8f5ff487cd222b8539a433d0aefbd02768d1a6330e5ad02a0f5f6649c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003388", "prompt": "Calculate: (0 - (22 + 82)) * 55", "solution_steps": ["Add: 22 + 82 = 104", "Subtract: 0 - 104 = -104", "Multiply: -104 * 55 = -5720"], "final_answer": "-5720", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (22 + 82)) * 55", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 22, \"c\": 82, \"d\": 55}", "seed": "9955072993202416129", "semantic_fingerprint": "sha256:9bff2cd52a92ace0e3fbf5dfa6ae029f6d175087cb8d2ff4c37435adf73f1992", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003389", "prompt": "What value of x satisfies 7x - 383 = 12x - 478?", "solution_steps": ["Subtract 12x from both sides: -5x - 383 = -478", "Add 383 to both sides: -5x = -95", "Divide both sides by -5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 383 = 12x - 478", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 383, \"c\": 12, \"e\": -478, \"x\": 19}", "seed": "16325678260866436334", "semantic_fingerprint": "sha256:f677843a2bed154a8b5182d68f5fecda882b0eb9f9a02c4a7bcac8f437cb1acb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003390", "prompt": "Calculate: -44 / ((382 - 70) / (-3) / (-52))", "solution_steps": ["Subtract: 382 - 70 = 312", "Divide: 312 / (-3) = -104", "Divide: -104 / (-52) = 2", "Divide: -44 / 2 = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "-44 / ((382 - 70) / (-3) / (-52))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 382, \"c\": 70, \"d\": -3, \"e\": -52}", "seed": "10714992903902832043", "semantic_fingerprint": "sha256:0b8a523f51a17ca396992b13c96452b2a31cbd69f00099cdc81107b51d0be5e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003391", "prompt": "Calculate: -53 / (-8 / (-4)) / (-787 + (-40))", "solution_steps": ["Divide: -8 / (-4) = 2", "Divide: -53 / 2 = -53/2", "Add: -787 + (-40) = -827", "Divide: (-53/2) / (-827) = 53/1654"], "final_answer": "53/1654", "answer_type": "rational", "kind": "expression", "math_text": "-53 / (-8 / (-4)) / (-787 + (-40))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -8, \"c\": -4, \"d\": -787, \"e\": -40}", "seed": "5010124717137452695", "semantic_fingerprint": "sha256:09c32ff02932e74896b0fe81327f311b2e20b0ffc3ffe3fae54091448d8e2343", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003392", "prompt": "What value of x satisfies -2x - 58 = -4x - 28?", "solution_steps": ["Add 4x to both sides: 2x - 58 = -28", "Add 58 to both sides: 2x = 30", "Divide both sides by 2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 58 = -4x - 28", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 58, \"c\": -4, \"e\": -28, \"x\": 15}", "seed": "18028836297461601222", "semantic_fingerprint": "sha256:e0cc7878969fae092dbb721e1f2063b43044a465c4fa8f909606dc979fa2edef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003393", "prompt": "Evaluate: -72 / (7 / 35 + (662 - 366)) - (-64)", "solution_steps": ["Divide: 7 / 35 = 1/5", "Subtract: 662 - 366 = 296", "Add: 1/5 + 296 = 1481/5", "Divide: -72 / (1481/5) = -360/1481", "Subtract: -360/1481 - (-64) = 94424/1481"], "final_answer": "94424/1481", "answer_type": "rational", "kind": "expression", "math_text": "-72 / (7 / 35 + (662 - 366)) - (-64)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ (/ n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 7, \"c\": 35, \"d\": 662, \"e\": 366, \"f\": -64}", "seed": "10530593405059903514", "semantic_fingerprint": "sha256:f545b347023734b95f82dfea61154771405cf5c2c124c8f58ca03ca32bf4ce9a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003394", "prompt": "What is 222 - (-952) * (1 / (-327))?", "solution_steps": ["Divide: 1 / (-327) = -1/327", "Multiply: -952 * (-1/327) = 952/327", "Subtract: 222 - 952/327 = 71642/327"], "final_answer": "71642/327", "answer_type": "rational", "kind": "expression", "math_text": "222 - (-952) * (1 / (-327))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 222, \"b\": -952, \"c\": 1, \"d\": -327}", "seed": "5829594080982739404", "semantic_fingerprint": "sha256:c088ac8dec3f999efda35145ae5afd1b5bae567613186ec5dca60ebe85fca572", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003395", "prompt": "Evaluate: (75 - (-19)) / ((0 - 994) / (-494 / 5))", "solution_steps": ["Subtract: 75 - (-19) = 94", "Subtract: 0 - 994 = -994", "Divide: -494 / 5 = -494/5", "Divide: -994 / (-494/5) = 2485/247", "Divide: 94 / (2485/247) = 23218/2485"], "final_answer": "23218/2485", "answer_type": "rational", "kind": "expression", "math_text": "(75 - (-19)) / ((0 - 994) / (-494 / 5))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -19, \"c\": 0, \"d\": 994, \"e\": -494, \"f\": 5}", "seed": "8324173650965045949", "semantic_fingerprint": "sha256:89423dc4194a91e0807213d77172260a0d399045380ac44f8b29c469fe1b7438", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003396", "prompt": "What value of x satisfies 8x - 402 = 11(x - 36)?", "solution_steps": ["Expand: 8x - 402 = 11x - 396", "Subtract 11x from both sides: -3x - 402 = -396", "Add 402 to both sides: -3x = 6", "Divide both sides by -3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 402 = 11(x - 36)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 11, \"c\": 36, \"e\": -402, \"x\": -2}", "seed": "16526906760145914349", "semantic_fingerprint": "sha256:61b0d69700212f90cc7036931ad62ab973d8e48387a2fa18092f333b03ac0ce0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003397", "prompt": "Calculate: -73 - (-40) - (73 / 7 - 82)", "solution_steps": ["Subtract: -73 - (-40) = -33", "Divide: 73 / 7 = 73/7", "Subtract: 73/7 - 82 = -501/7", "Subtract: -33 - (-501/7) = 270/7"], "final_answer": "270/7", "answer_type": "rational", "kind": "expression", "math_text": "-73 - (-40) - (73 / 7 - 82)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -40, \"c\": 73, \"d\": 7, \"e\": 82}", "seed": "11645071438218132299", "semantic_fingerprint": "sha256:3238a12072cdb287991bce1a211010bd850fab81222ea35225f82273cd34077b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003398", "prompt": "Compute: -2 * (-8) + (-24) + (-655)", "solution_steps": ["Multiply: -2 * (-8) = 16", "Add: 16 + (-24) = -8", "Add: -8 + (-655) = -663"], "final_answer": "-663", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-8) + (-24) + (-655)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -8, \"c\": -24, \"d\": -655}", "seed": "3588527716006225591", "semantic_fingerprint": "sha256:5d1a9882091004701b3261e73d1470febf794daf74a445858b95aa5f34f1ad4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003399", "prompt": "Calculate: (3 - (86 + 0)) * (9 - (-69 + 71))", "solution_steps": ["Add: 86 + 0 = 86", "Subtract: 3 - 86 = -83", "Add: -69 + 71 = 2", "Subtract: 9 - 2 = 7", "Multiply: -83 * 7 = -581"], "final_answer": "-581", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (86 + 0)) * (9 - (-69 + 71))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 86, \"c\": 0, \"d\": 9, \"e\": -69, \"f\": 71}", "seed": "16353995053837419081", "semantic_fingerprint": "sha256:782953f0264cb86d35c8f9dd38ded3c04855e16bb7bca8958d0095c3ea20febe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003400", "prompt": "What value of x satisfies -4x = 4(x + 32) - 64?", "solution_steps": ["Expand: -4x = 4x + 128 - 64", "Combine constants: -4x = 4x + 64", "Subtract 4x from both sides: -8x = 64", "Divide both sides by -8: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 4(x + 32) - 64", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 32, \"e\": -64, \"x\": -8}", "seed": "936894540657312580", "semantic_fingerprint": "sha256:ef4812e5aae97b84c6556095ccc9d58bdd6b0b13f84fa55a8f2c811d8c5ff80e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003401", "prompt": "Evaluate: -4 - (-6) / 78 - 93", "solution_steps": ["Divide: -6 / 78 = -1/13", "Subtract: -4 - (-1/13) = -51/13", "Subtract: -51/13 - 93 = -1260/13"], "final_answer": "-1260/13", "answer_type": "rational", "kind": "expression", "math_text": "-4 - (-6) / 78 - 93", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": 78, \"d\": 93}", "seed": "16719736319097167740", "semantic_fingerprint": "sha256:ee403bc298185ceeea91b7b3c673339bf312de893e6714bd86e5b0e84f9ee9cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003402", "prompt": "Calculate: (146 / (-5 + (-20 + 0)) - (-6)) * 367", "solution_steps": ["Add: -20 + 0 = -20", "Add: -5 + (-20) = -25", "Divide: 146 / (-25) = -146/25", "Subtract: -146/25 - (-6) = 4/25", "Multiply: (4/25) * 367 = 1468/25"], "final_answer": "1468/25", "answer_type": "rational", "kind": "expression", "math_text": "(146 / (-5 + (-20 + 0)) - (-6)) * 367", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n (+ n (+ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 146, \"b\": -5, \"c\": -20, \"d\": 0, \"e\": -6, \"f\": 367}", "seed": "10606399225026175447", "semantic_fingerprint": "sha256:545f71a65aabe180df263b79d68f25ebb46322bcf01048523707a459d658378a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003403", "prompt": "Calculate: 65 * (-617) - (0 + 833) - (-70)", "solution_steps": ["Multiply: 65 * (-617) = -40105", "Add: 0 + 833 = 833", "Subtract: -40105 - 833 = -40938", "Subtract: -40938 - (-70) = -40868"], "final_answer": "-40868", "answer_type": "integer", "kind": "expression", "math_text": "65 * (-617) - (0 + 833) - (-70)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -617, \"c\": 0, \"d\": 833, \"e\": -70}", "seed": "9218438318179199225", "semantic_fingerprint": "sha256:b5433b04a8e2d0dd5c5c045388a909433e3113ab82c5961b1eaf0c914d690fe0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003404", "prompt": "Solve for x: 10x = 7(x + 9) - 12", "solution_steps": ["Expand: 10x = 7x + 63 - 12", "Combine constants: 10x = 7x + 51", "Subtract 7x from both sides: 3x = 51", "Divide both sides by 3: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 7(x + 9) - 12", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 9, \"e\": -12, \"x\": 17}", "seed": "14390880005629793118", "semantic_fingerprint": "sha256:dbccf0b1f818eeb1ca5004f6cd6649192d13ab68d972dde7e0bffc8772040fc7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003405", "prompt": "Calculate: -20 / (77 * (698 + 62))", "solution_steps": ["Add: 698 + 62 = 760", "Multiply: 77 * 760 = 58520", "Divide: -20 / 58520 = -1/2926"], "final_answer": "-1/2926", "answer_type": "rational", "kind": "expression", "math_text": "-20 / (77 * (698 + 62))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 77, \"c\": 698, \"d\": 62}", "seed": "17918757536683668160", "semantic_fingerprint": "sha256:de0ae0e9df711f0944c23152f66e44bdb5ebfc64b9019f867c2f109f3af207b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003406", "prompt": "Compute: -92 - (-37 + 246) / 386", "solution_steps": ["Add: -37 + 246 = 209", "Divide: 209 / 386 = 209/386", "Subtract: -92 - 209/386 = -35721/386"], "final_answer": "-35721/386", "answer_type": "rational", "kind": "expression", "math_text": "-92 - (-37 + 246) / 386", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -37, \"c\": 246, \"d\": 386}", "seed": "17333486729026075083", "semantic_fingerprint": "sha256:05fc0955616231ab390bbf1bc1fd8ae732fd2993235f134064b962264c427dae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003407", "prompt": "Calculate: -72 * (-2 + (-85 + 93) + 52 / 9)", "solution_steps": ["Add: -85 + 93 = 8", "Add: -2 + 8 = 6", "Divide: 52 / 9 = 52/9", "Add: 6 + 52/9 = 106/9", "Multiply: -72 * (106/9) = -848"], "final_answer": "-848", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-2 + (-85 + 93) + 52 / 9)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -2, \"c\": -85, \"d\": 93, \"e\": 52, \"f\": 9}", "seed": "3987037086805563095", "semantic_fingerprint": "sha256:fc47c7d2e3e8c3f8faf70324491fa80a0e4aac8598d0e06273c78ed4ef4ad7e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003408", "prompt": "Solve for x: -11x = 10(x + 9) - 426", "solution_steps": ["Expand: -11x = 10x + 90 - 426", "Combine constants: -11x = 10x - 336", "Subtract 10x from both sides: -21x = -336", "Divide both sides by -21: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = 10(x + 9) - 426", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 10, \"c\": 9, \"e\": -426, \"x\": 16}", "seed": "8879722939922634109", "semantic_fingerprint": "sha256:c92c319587cd9a5daff9a4700d458f38dd9453b09b6fcdac09b1fae966455e2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003409", "prompt": "Evaluate: -6 / (3 / 618) + 26", "solution_steps": ["Divide: 3 / 618 = 1/206", "Divide: -6 / (1/206) = -1236", "Add: -1236 + 26 = -1210"], "final_answer": "-1210", "answer_type": "integer", "kind": "expression", "math_text": "-6 / (3 / 618) + 26", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 618, \"d\": 26}", "seed": "2763252435940617062", "semantic_fingerprint": "sha256:28e2e659159e49262f3d8e121977863293f8fcfd15203877d29e0bfd50445c39", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003410", "prompt": "Solve for x: 2x - 293 = 9(x - 45)", "solution_steps": ["Expand: 2x - 293 = 9x - 405", "Subtract 9x from both sides: -7x - 293 = -405", "Add 293 to both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 293 = 9(x - 45)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 45, \"e\": -293, \"x\": 16}", "seed": "15114103400961496689", "semantic_fingerprint": "sha256:1afdf4728e5c98895b0f1ad2da360efc9c1c677dfda21bce2708cf9fa2b741c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003411", "prompt": "Solve the equation 11(x + 5) + 195 = x + 140 for x.", "solution_steps": ["Expand: 11x + 55 + 195 = x + 140", "Combine constants: 11x + 250 = x + 140", "Subtract x from both sides: 10x + 250 = 140", "Subtract 250 from both sides: 10x = -110", "Divide both sides by 10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 5) + 195 = x + 140", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 195, \"e\": 140, \"x\": -11}", "seed": "12125861933192725913", "semantic_fingerprint": "sha256:97ef84520cae77e0bb73239c10db8c0adb508f4eb1e6880dff6e26c0cef12aec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003412", "prompt": "Evaluate: 1 * 95 - 5 / (-46 / (-245 / (-595)))", "solution_steps": ["Multiply: 1 * 95 = 95", "Divide: -245 / (-595) = 7/17", "Divide: -46 / (7/17) = -782/7", "Divide: 5 / (-782/7) = -35/782", "Subtract: 95 - (-35/782) = 74325/782"], "final_answer": "74325/782", "answer_type": "rational", "kind": "expression", "math_text": "1 * 95 - 5 / (-46 / (-245 / (-595)))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (/ n (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 95, \"c\": 5, \"d\": -46, \"e\": -245, \"f\": -595}", "seed": "8477630126978851686", "semantic_fingerprint": "sha256:c08378318c8d668567274efbe1591a456d244f031937174fb0e813f34e18ff82", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003413", "prompt": "Evaluate: -35 * 10 / (-8) + (-3 - (-2))", "solution_steps": ["Multiply: -35 * 10 = -350", "Divide: -350 / (-8) = 175/4", "Subtract: -3 - (-2) = -1", "Add: 175/4 + (-1) = 171/4"], "final_answer": "171/4", "answer_type": "rational", "kind": "expression", "math_text": "-35 * 10 / (-8) + (-3 - (-2))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 10, \"c\": -8, \"d\": -3, \"e\": -2}", "seed": "12185098731111995583", "semantic_fingerprint": "sha256:b736d3d832c4aa0a9e8cd4eb600ae87ec2af8f789d6c9d498740ab3d4462b79f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003414", "prompt": "What is (-1 - 8 + 566) / (-6 / (-3)) - (-239)?", "solution_steps": ["Subtract: -1 - 8 = -9", "Add: -9 + 566 = 557", "Divide: -6 / (-3) = 2", "Divide: 557 / 2 = 557/2", "Subtract: 557/2 - (-239) = 1035/2"], "final_answer": "1035/2", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - 8 + 566) / (-6 / (-3)) - (-239)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 8, \"c\": 566, \"d\": -6, \"e\": -3, \"f\": -239}", "seed": "16375164028780778311", "semantic_fingerprint": "sha256:ad254e3fce4d07f4982b22da524f38ec5500f9f16f0d4b62f0bd6a9fa2e07cc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003415", "prompt": "Solve for x: 6(x - 1) + 240 = 4(x + 52)", "solution_steps": ["Expand: 6x - 6 + 240 = 4(x + 52)", "Expand: 6x - 6 + 240 = 4x + 208", "Combine constants: 6x + 234 = 4x + 208", "Subtract 4x from both sides: 2x + 234 = 208", "Subtract 234 from both sides: 2x = -26", "Divide both sides by 2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 1) + 240 = 4(x + 52)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 4, \"d\": 52, \"f\": 240, \"x\": -13}", "seed": "3734632352682300188", "semantic_fingerprint": "sha256:dcfd64c15989526e3fc5df957c9cf98e607dc83890b14d95732c41557b169747", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003416", "prompt": "Evaluate: -3 * (-1 * 4) + (-44)", "solution_steps": ["Multiply: -1 * 4 = -4", "Multiply: -3 * (-4) = 12", "Add: 12 + (-44) = -32"], "final_answer": "-32", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-1 * 4) + (-44)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -1, \"c\": 4, \"d\": -44}", "seed": "9664920763569179160", "semantic_fingerprint": "sha256:063ef39cb3cdf8fff5299a00251eae12f28df0d102d28cdbedcdbb6a39663a21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003417", "prompt": "Solve for x: -12x - 374 = 12x - 92", "solution_steps": ["Subtract 12x from both sides: -24x - 374 = -92", "Add 374 to both sides: -24x = 282", "Divide both sides by -24: x = -47/4"], "final_answer": "-47/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 374 = 12x - 92", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 374, \"c\": 12, \"d\": 92}", "seed": "15075890011907294620", "semantic_fingerprint": "sha256:7c37e5c7b666dc83d3d9da86b3525249d696be9b61c10e0cebef4259a2dfeb9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003418", "prompt": "Calculate: 0 * (1 * (-8)) * (-877)", "solution_steps": ["Multiply: 1 * (-8) = -8", "Multiply: 0 * (-8) = 0", "Multiply: 0 * (-877) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (1 * (-8)) * (-877)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": -8, \"d\": -877}", "seed": "4007075202264354037", "semantic_fingerprint": "sha256:369c6589dc80e0b5513765bd890844231c14793efe8ea06dbdae0b63c5e3f275", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003419", "prompt": "Compute: -86 * 26 * (4 / 53)", "solution_steps": ["Multiply: -86 * 26 = -2236", "Divide: 4 / 53 = 4/53", "Multiply: -2236 * (4/53) = -8944/53"], "final_answer": "-8944/53", "answer_type": "rational", "kind": "expression", "math_text": "-86 * 26 * (4 / 53)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 26, \"c\": 4, \"d\": 53}", "seed": "1378981658118766803", "semantic_fingerprint": "sha256:42c0320dcaa67617b93c9530882bff708dcdb7c287c345de66dd022163b32308", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003420", "prompt": "Compute: 56 * 77 * ((-47 - (-48)) / 2) * 48", "solution_steps": ["Multiply: 56 * 77 = 4312", "Subtract: -47 - (-48) = 1", "Divide: 1 / 2 = 1/2", "Multiply: 4312 * (1/2) = 2156", "Multiply: 2156 * 48 = 103488"], "final_answer": "103488", "answer_type": "integer", "kind": "expression", "math_text": "56 * 77 * ((-47 - (-48)) / 2) * 48", "variable": null, "family": "expression_5op", "shape": "(* (* (* n n) (/ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 77, \"c\": -47, \"d\": -48, \"e\": 2, \"f\": 48}", "seed": "7080690411691513103", "semantic_fingerprint": "sha256:f3051f570833769dffb8d66b8623d0f322886e2b471157d650087cf9b60f15ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003421", "prompt": "Evaluate: 502 - (-6) - 63 - 5 / (-69)", "solution_steps": ["Subtract: 502 - (-6) = 508", "Subtract: 508 - 63 = 445", "Divide: 5 / (-69) = -5/69", "Subtract: 445 - (-5/69) = 30710/69"], "final_answer": "30710/69", "answer_type": "rational", "kind": "expression", "math_text": "502 - (-6) - 63 - 5 / (-69)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 502, \"b\": -6, \"c\": 63, \"d\": 5, \"e\": -69}", "seed": "17375775479240835920", "semantic_fingerprint": "sha256:43df151585505e6faad894488fdd7426380348125b50c46fb77717d357dce36a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003422", "prompt": "Solve for x: 10(x - 89) + 575 = -5(x + 60)", "solution_steps": ["Expand: 10x - 890 + 575 = -5(x + 60)", "Expand: 10x - 890 + 575 = -5x - 300", "Combine constants: 10x - 315 = -5x - 300", "Add 5x to both sides: 15x - 315 = -300", "Add 315 to both sides: 15x = 15", "Divide both sides by 15: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 89) + 575 = -5(x + 60)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 89, \"c\": -5, \"d\": 60, \"f\": 575, \"x\": 1}", "seed": "9094407605052115000", "semantic_fingerprint": "sha256:7e0db7665a659d90d45c82eb899497077c257d72c9628dd41b50ea03d105d6fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003423", "prompt": "Solve the equation -8(x + 8) = 12(x - 7) + 260 for x.", "solution_steps": ["Expand: -8x - 64 = 12(x - 7) + 260", "Expand: -8x - 64 = 12x - 84 + 260", "Combine constants: -8x - 64 = 12x + 176", "Subtract 12x from both sides: -20x - 64 = 176", "Add 64 to both sides: -20x = 240", "Divide both sides by -20: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 8) = 12(x - 7) + 260", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"c\": 12, \"d\": 7, \"f\": 260, \"x\": -12}", "seed": "10812059300641995556", "semantic_fingerprint": "sha256:b575faada01a0acd3e4a76cdc94f6bf85714bec3918043ea3fbd65c27749c872", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003424", "prompt": "What is -9 - 31 / (-326) - (-92)?", "solution_steps": ["Divide: 31 / (-326) = -31/326", "Subtract: -9 - (-31/326) = -2903/326", "Subtract: -2903/326 - (-92) = 27089/326"], "final_answer": "27089/326", "answer_type": "rational", "kind": "expression", "math_text": "-9 - 31 / (-326) - (-92)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 31, \"c\": -326, \"d\": -92}", "seed": "14236929723545494947", "semantic_fingerprint": "sha256:de65d1aba7d894f32c61d62504e6a68bba50d36b43f4bb6b854c10ce8313db27", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003425", "prompt": "Solve for x: 3(x + 62) + 71 = x + 233", "solution_steps": ["Expand: 3x + 186 + 71 = x + 233", "Combine constants: 3x + 257 = x + 233", "Subtract x from both sides: 2x + 257 = 233", "Subtract 257 from both sides: 2x = -24", "Divide both sides by 2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 62) + 71 = x + 233", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 62, \"c\": 71, \"e\": 233, \"x\": -12}", "seed": "15274527354828773196", "semantic_fingerprint": "sha256:1767af23e566d7b7399f2a945a0e10dbd8ede5985d6ca983a98b5ddeaa4ac852", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003426", "prompt": "Compute: 3 / 6 * 92 / (6 - (-2) - (-4))", "solution_steps": ["Divide: 3 / 6 = 1/2", "Multiply: (1/2) * 92 = 46", "Subtract: 6 - (-2) = 8", "Subtract: 8 - (-4) = 12", "Divide: 46 / 12 = 23/6"], "final_answer": "23/6", "answer_type": "rational", "kind": "expression", "math_text": "3 / 6 * 92 / (6 - (-2) - (-4))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 92, \"d\": 6, \"e\": -2, \"f\": -4}", "seed": "9360488366136303184", "semantic_fingerprint": "sha256:e1cc5c870d3812dcf46fd98197390cc5498c182962d1b8cceb4b9a2c47d7edf4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003427", "prompt": "Solve for x: 9(x - 15) + 36 = 3(x + 3)", "solution_steps": ["Expand: 9x - 135 + 36 = 3(x + 3)", "Expand: 9x - 135 + 36 = 3x + 9", "Combine constants: 9x - 99 = 3x + 9", "Subtract 3x from both sides: 6x - 99 = 9", "Add 99 to both sides: 6x = 108", "Divide both sides by 6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 15) + 36 = 3(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 15, \"c\": 3, \"d\": 3, \"f\": 36, \"x\": 18}", "seed": "11080696797482013874", "semantic_fingerprint": "sha256:8a7f05cb232f043b4509a0cbc17ae9f1b6e2de55de212945c891a83b97ea183a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003428", "prompt": "Solve for x: 3(x - 95) + 705 = 12(x + 50)", "solution_steps": ["Expand: 3x - 285 + 705 = 12(x + 50)", "Expand: 3x - 285 + 705 = 12x + 600", "Combine constants: 3x + 420 = 12x + 600", "Subtract 12x from both sides: -9x + 420 = 600", "Subtract 420 from both sides: -9x = 180", "Divide both sides by -9: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 95) + 705 = 12(x + 50)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 95, \"c\": 12, \"d\": 50, \"f\": 705, \"x\": -20}", "seed": "1560383044129025308", "semantic_fingerprint": "sha256:0025ee937a9e5881abb8f5385dd1a88d7d44b56315ccf04a00464589dedc8529", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003429", "prompt": "Evaluate: -35 - 385 - (747 - 317 * 695)", "solution_steps": ["Subtract: -35 - 385 = -420", "Multiply: 317 * 695 = 220315", "Subtract: 747 - 220315 = -219568", "Subtract: -420 - (-219568) = 219148"], "final_answer": "219148", "answer_type": "integer", "kind": "expression", "math_text": "-35 - 385 - (747 - 317 * 695)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 385, \"c\": 747, \"d\": 317, \"e\": 695}", "seed": "831206902036148306", "semantic_fingerprint": "sha256:96ef8d91613880f407f774e4807571866e23e5ab88e270ff273be7a4cf75bdd1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003430", "prompt": "Find x: -11x - 807 = 10(x - 5)", "solution_steps": ["Expand: -11x - 807 = 10x - 50", "Subtract 10x from both sides: -21x - 807 = -50", "Add 807 to both sides: -21x = 757", "Divide both sides by -21: x = -757/21"], "final_answer": "-757/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 807 = 10(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 807, \"c\": 10, \"d\": 5}", "seed": "5645694435032187496", "semantic_fingerprint": "sha256:0d3545ffb9672e8f3c86ed3b00c5bc474a6756bec80cc8219d9a344c7fecefe0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003431", "prompt": "Solve the equation 7x = -6(x + 8) - 212 for x.", "solution_steps": ["Expand: 7x = -6x - 48 - 212", "Combine constants: 7x = -6x - 260", "Add 6x to both sides: 13x = -260", "Divide both sides by 13: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -6(x + 8) - 212", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -6, \"c\": 8, \"e\": -212, \"x\": -20}", "seed": "6768714478586547155", "semantic_fingerprint": "sha256:84d0eb8a691d66a9dcd794c340f199ccacdddc64500bf637ad5cbf74069c6d85", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003432", "prompt": "Calculate: (317 - 61 - (-691)) * (-19)", "solution_steps": ["Subtract: 317 - 61 = 256", "Subtract: 256 - (-691) = 947", "Multiply: 947 * (-19) = -17993"], "final_answer": "-17993", "answer_type": "integer", "kind": "expression", "math_text": "(317 - 61 - (-691)) * (-19)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 317, \"b\": 61, \"c\": -691, \"d\": -19}", "seed": "2233664617577374462", "semantic_fingerprint": "sha256:8f1f9284fdc74e78c979e6d7cb816725ac42cd26dcd050305e9e3fc7cab6a1ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003433", "prompt": "Find x: -3(x + 768) - 337 = x + 58", "solution_steps": ["Expand: -3x - 2304 - 337 = x + 58", "Combine constants: -3x - 2641 = x + 58", "Subtract x from both sides: -4x - 2641 = 58", "Add 2641 to both sides: -4x = 2699", "Divide both sides by -4: x = -2699/4"], "final_answer": "-2699/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 768) - 337 = x + 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 768, \"c\": 337, \"d\": 58}", "seed": "15829298009108384506", "semantic_fingerprint": "sha256:3ac3101e103862fed935eeb16d4e8869a61fcf35605a231ee8b9e76b60661381", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003434", "prompt": "Compute: 265 - 588 * (-19) + 229 * (-15)", "solution_steps": ["Multiply: 588 * (-19) = -11172", "Subtract: 265 - (-11172) = 11437", "Multiply: 229 * (-15) = -3435", "Add: 11437 + (-3435) = 8002"], "final_answer": "8002", "answer_type": "integer", "kind": "expression", "math_text": "265 - 588 * (-19) + 229 * (-15)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 265, \"b\": 588, \"c\": -19, \"d\": 229, \"e\": -15}", "seed": "8180801675749622794", "semantic_fingerprint": "sha256:c171476bc79a5304449cdb58b637358fccf31e3d1b74253c90679f295789db46", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003435", "prompt": "Solve for x: -8(x + 17) = 2(x - 218) + 410", "solution_steps": ["Expand: -8x - 136 = 2(x - 218) + 410", "Expand: -8x - 136 = 2x - 436 + 410", "Combine constants: -8x - 136 = 2x - 26", "Subtract 2x from both sides: -10x - 136 = -26", "Add 136 to both sides: -10x = 110", "Divide both sides by -10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 17) = 2(x - 218) + 410", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 17, \"c\": 2, \"d\": 218, \"f\": 410, \"x\": -11}", "seed": "14450983585278824350", "semantic_fingerprint": "sha256:2e76bcefa9f01656ae7b1c07b65e2163bc595b6886c38c90a6e54d6d96b4cedc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003436", "prompt": "Compute: 1 * (-16 * 13) * 3", "solution_steps": ["Multiply: -16 * 13 = -208", "Multiply: 1 * (-208) = -208", "Multiply: -208 * 3 = -624"], "final_answer": "-624", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-16 * 13) * 3", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -16, \"c\": 13, \"d\": 3}", "seed": "7341420116947387063", "semantic_fingerprint": "sha256:c87b2d9fe3e4b839e0222a73bf89a52525e05c51e694df5d5002f02ae8c98066", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003437", "prompt": "Solve for x: 6x - 65 = -9x - 275", "solution_steps": ["Add 9x to both sides: 15x - 65 = -275", "Add 65 to both sides: 15x = -210", "Divide both sides by 15: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 65 = -9x - 275", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 65, \"c\": -9, \"e\": -275, \"x\": -14}", "seed": "16299939971332438790", "semantic_fingerprint": "sha256:968dbfe890818f1035af5975f16bc95fbd36b00dea4e2097a80fdc82e12deeae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003438", "prompt": "Find x: 11(x - 4) - 6 = x + 150", "solution_steps": ["Expand: 11x - 44 - 6 = x + 150", "Combine constants: 11x - 50 = x + 150", "Subtract x from both sides: 10x - 50 = 150", "Add 50 to both sides: 10x = 200", "Divide both sides by 10: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 4) - 6 = x + 150", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 6, \"e\": 150, \"x\": 20}", "seed": "15950884710127894689", "semantic_fingerprint": "sha256:a2e5f6dafb220f1a8f5e7b4ae3ee9e14d627255e587ee0390c2db773676a9643", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003439", "prompt": "Compute: -753 + (-2 - (-29 + (-4)))", "solution_steps": ["Add: -29 + (-4) = -33", "Subtract: -2 - (-33) = 31", "Add: -753 + 31 = -722"], "final_answer": "-722", "answer_type": "integer", "kind": "expression", "math_text": "-753 + (-2 - (-29 + (-4)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -753, \"b\": -2, \"c\": -29, \"d\": -4}", "seed": "3710460638258928123", "semantic_fingerprint": "sha256:e34cf0239effeca3fb80aaca452d80e1b5c0db1b33f794c85e8545ffeab55525", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003440", "prompt": "What value of x satisfies 5x - 49 = 4(x - 4)?", "solution_steps": ["Expand: 5x - 49 = 4x - 16", "Subtract 4x from both sides: x - 49 = -16", "Add 49 to both sides: x = 33"], "final_answer": "33", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 49 = 4(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 49, \"c\": 4, \"d\": 4}", "seed": "7981139207806414671", "semantic_fingerprint": "sha256:4610aaffd04dd0663095510ecf06ce63b7d608de33c31f63da935d5ac11a910d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003441", "prompt": "Solve for x: 4x = -5(x + 120) + 645", "solution_steps": ["Expand: 4x = -5x - 600 + 645", "Combine constants: 4x = -5x + 45", "Add 5x to both sides: 9x = 45", "Divide both sides by 9: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -5(x + 120) + 645", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -5, \"c\": 120, \"e\": 645, \"x\": 5}", "seed": "16318691552825394296", "semantic_fingerprint": "sha256:f4509e6ee6929cfe607dcb517e488170d2070b7bc13c9129535f1af3c3afa76b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003442", "prompt": "Solve the equation 7(x + 32) + 687 = x + 959 for x.", "solution_steps": ["Expand: 7x + 224 + 687 = x + 959", "Combine constants: 7x + 911 = x + 959", "Subtract x from both sides: 6x + 911 = 959", "Subtract 911 from both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 32) + 687 = x + 959", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 32, \"c\": 687, \"e\": 959, \"x\": 8}", "seed": "17508274789142322430", "semantic_fingerprint": "sha256:ad2344635dfc30d151d7924187eb2d44c78371fa1268069ace8d6a2af7f5abdc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003443", "prompt": "Find x: 4(x + 2) + 1 = x + 99", "solution_steps": ["Expand: 4x + 8 + 1 = x + 99", "Combine constants: 4x + 9 = x + 99", "Subtract x from both sides: 3x + 9 = 99", "Subtract 9 from both sides: 3x = 90", "Divide both sides by 3: x = 30"], "final_answer": "30", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 2) + 1 = x + 99", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 1, \"d\": 99}", "seed": "14398831469283529564", "semantic_fingerprint": "sha256:4316ae8f6e3ead59a0ad4ea140099076881f0327874acbf20ab95ec99ec614f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003444", "prompt": "Solve the equation 11(x + 45) + 271 = x + 676 for x.", "solution_steps": ["Expand: 11x + 495 + 271 = x + 676", "Combine constants: 11x + 766 = x + 676", "Subtract x from both sides: 10x + 766 = 676", "Subtract 766 from both sides: 10x = -90", "Divide both sides by 10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 45) + 271 = x + 676", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 45, \"c\": 271, \"e\": 676, \"x\": -9}", "seed": "8358592479017036715", "semantic_fingerprint": "sha256:a24e6e2a7e50aa30523fafae1789efd74ef5fc4cb32d1156d4d4b11e16c05217", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003445", "prompt": "Evaluate: -201 + (-71) + 812 + (83 + (-68))", "solution_steps": ["Add: -201 + (-71) = -272", "Add: -272 + 812 = 540", "Add: 83 + (-68) = 15", "Add: 540 + 15 = 555"], "final_answer": "555", "answer_type": "integer", "kind": "expression", "math_text": "-201 + (-71) + 812 + (83 + (-68))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -201, \"b\": -71, \"c\": 812, \"d\": 83, \"e\": -68}", "seed": "3322936958276629243", "semantic_fingerprint": "sha256:3e0c37a3eeaee8b9d0816521c7590061c9774a565d7777bbd7a7a6a6ff86c183", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003446", "prompt": "Evaluate: (-54 + (-903)) * (4 * (-568) / (526 * (-9)))", "solution_steps": ["Add: -54 + (-903) = -957", "Multiply: 4 * (-568) = -2272", "Multiply: 526 * (-9) = -4734", "Divide: -2272 / (-4734) = 1136/2367", "Multiply: -957 * (1136/2367) = -362384/789"], "final_answer": "-362384/789", "answer_type": "rational", "kind": "expression", "math_text": "(-54 + (-903)) * (4 * (-568) / (526 * (-9)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -903, \"c\": 4, \"d\": -568, \"e\": 526, \"f\": -9}", "seed": "16848889857285334714", "semantic_fingerprint": "sha256:d22c13de3918a9d78045cbcf5166a00f7d7a72353374414fd5b14755f07e13f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003447", "prompt": "Solve for x: 3(x + 9) = 4(x - 6) + 49", "solution_steps": ["Expand: 3x + 27 = 4(x - 6) + 49", "Expand: 3x + 27 = 4x - 24 + 49", "Combine constants: 3x + 27 = 4x + 25", "Subtract 4x from both sides: -x + 27 = 25", "Subtract 27 from both sides: -x = -2", "Divide both sides by -1: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) = 4(x - 6) + 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 4, \"d\": 6, \"f\": 49, \"x\": 2}", "seed": "10258467903375852141", "semantic_fingerprint": "sha256:d322d8d11da786f38b14c889754108362f75674977bb6c0f462cee1077c448e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003448", "prompt": "What value of x satisfies -4x - 9 = -2x - 23?", "solution_steps": ["Add 2x to both sides: -2x - 9 = -23", "Add 9 to both sides: -2x = -14", "Divide both sides by -2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 9 = -2x - 23", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": -2, \"e\": -23, \"x\": 7}", "seed": "17557519380751603282", "semantic_fingerprint": "sha256:956d8c5c4dadfac8ab78e619ae4b3700f0624caa6643d03ee8b33476014e311d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003449", "prompt": "Find x: -2x = 2(x + 22) - 44", "solution_steps": ["Expand: -2x = 2x + 44 - 44", "Combine constants: -2x = 2x", "Subtract 2x from both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 2(x + 22) - 44", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 22, \"e\": -44, \"x\": 0}", "seed": "975920169375392450", "semantic_fingerprint": "sha256:32ce50b12e200577a42d9989dbd2ca68304527ce2416b5b37970940352b73f00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003450", "prompt": "What value of x satisfies 11x - 6 = 5x - 24?", "solution_steps": ["Subtract 5x from both sides: 6x - 6 = -24", "Add 6 to both sides: 6x = -18", "Divide both sides by 6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 6 = 5x - 24", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 5, \"e\": -24, \"x\": -3}", "seed": "8509394544457060998", "semantic_fingerprint": "sha256:bc674d393a49b88f0c330e28bceabf4375d89c73fabaac312b7c5612023d65bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003451", "prompt": "Find x: -5(x + 8) = 4(x - 97) + 456", "solution_steps": ["Expand: -5x - 40 = 4(x - 97) + 456", "Expand: -5x - 40 = 4x - 388 + 456", "Combine constants: -5x - 40 = 4x + 68", "Subtract 4x from both sides: -9x - 40 = 68", "Add 40 to both sides: -9x = 108", "Divide both sides by -9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 8) = 4(x - 97) + 456", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": 4, \"d\": 97, \"f\": 456, \"x\": -12}", "seed": "17804211242883818488", "semantic_fingerprint": "sha256:8761cec1dd3eb2df5ff095e23526abf01a7b1edf96c06f039afc0f66d0550585", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003452", "prompt": "Compute: 66 - 1 - (0 / 22 - (-7))", "solution_steps": ["Subtract: 66 - 1 = 65", "Divide: 0 / 22 = 0", "Subtract: 0 - (-7) = 7", "Subtract: 65 - 7 = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "66 - 1 - (0 / 22 - (-7))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 1, \"c\": 0, \"d\": 22, \"e\": -7}", "seed": "11107936231467834937", "semantic_fingerprint": "sha256:5b79265e39e6493ad9fe8fcc03404b59079a507cd2af949b1dbf68a130defa96", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003453", "prompt": "Solve for x: 4x = 2(x + 849) - 12", "solution_steps": ["Expand: 4x = 2x + 1698 - 12", "Combine constants: 4x = 2x + 1686", "Subtract 2x from both sides: 2x = 1686", "Divide both sides by 2: x = 843"], "final_answer": "843", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 2(x + 849) - 12", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 849, \"d\": 12}", "seed": "1061788650070961533", "semantic_fingerprint": "sha256:725055b4808034ff1318baceacb3771f5aaaa431e108cf1fd6d0ac371b200436", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003454", "prompt": "Evaluate: (64 + 4) * (802 + (-1)) * 4", "solution_steps": ["Add: 64 + 4 = 68", "Add: 802 + (-1) = 801", "Multiply: 68 * 801 = 54468", "Multiply: 54468 * 4 = 217872"], "final_answer": "217872", "answer_type": "integer", "kind": "expression", "math_text": "(64 + 4) * (802 + (-1)) * 4", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 4, \"c\": 802, \"d\": -1, \"e\": 4}", "seed": "14585641425078270429", "semantic_fingerprint": "sha256:15d6f887a7ff7a1ae1610fad1b0af9d8dcfb88058ec16024cdb52245bcacdd13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003455", "prompt": "Evaluate: (-5 + (-74)) / (803 + 151)", "solution_steps": ["Add: -5 + (-74) = -79", "Add: 803 + 151 = 954", "Divide: -79 / 954 = -79/954"], "final_answer": "-79/954", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (-74)) / (803 + 151)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -74, \"c\": 803, \"d\": 151}", "seed": "7301059096248118698", "semantic_fingerprint": "sha256:33801647e7da6b9a5d787c733b0a195bdf2a8a5011690dbc12fc928d3f95e778", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003456", "prompt": "What is -984 / ((0 * (-6) - (-31) - (-3)) * (-759))?", "solution_steps": ["Multiply: 0 * (-6) = 0", "Subtract: 0 - (-31) = 31", "Subtract: 31 - (-3) = 34", "Multiply: 34 * (-759) = -25806", "Divide: -984 / (-25806) = 164/4301"], "final_answer": "164/4301", "answer_type": "rational", "kind": "expression", "math_text": "-984 / ((0 * (-6) - (-31) - (-3)) * (-759))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (- (- (* n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -984, \"b\": 0, \"c\": -6, \"d\": -31, \"e\": -3, \"f\": -759}", "seed": "3559013730102872164", "semantic_fingerprint": "sha256:28067d66009cbea784895d0f461da25673be5c83db57e22910ee37d68eee256c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003457", "prompt": "Evaluate: 21 * (-58 - (777 + 822 - 695)) - (-13)", "solution_steps": ["Add: 777 + 822 = 1599", "Subtract: 1599 - 695 = 904", "Subtract: -58 - 904 = -962", "Multiply: 21 * (-962) = -20202", "Subtract: -20202 - (-13) = -20189"], "final_answer": "-20189", "answer_type": "integer", "kind": "expression", "math_text": "21 * (-58 - (777 + 822 - 695)) - (-13)", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n (- (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -58, \"c\": 777, \"d\": 822, \"e\": 695, \"f\": -13}", "seed": "9853730248639678224", "semantic_fingerprint": "sha256:e6abb87ed7e432031f284534d9cd215e7042f098e57d910b7d2ea9fda299dde9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003458", "prompt": "Solve for x: 9(x + 9) + 80 = x + 153", "solution_steps": ["Expand: 9x + 81 + 80 = x + 153", "Combine constants: 9x + 161 = x + 153", "Subtract x from both sides: 8x + 161 = 153", "Subtract 161 from both sides: 8x = -8", "Divide both sides by 8: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 9) + 80 = x + 153", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 80, \"e\": 153, \"x\": -1}", "seed": "8102670559018850189", "semantic_fingerprint": "sha256:4aceb13bf8649c250db3f2098e2d3b313fa668dc2cec9dddc9724d014bf6fa85", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003459", "prompt": "What value of x satisfies 10(x + 50) - 9 = x + 428?", "solution_steps": ["Expand: 10x + 500 - 9 = x + 428", "Combine constants: 10x + 491 = x + 428", "Subtract x from both sides: 9x + 491 = 428", "Subtract 491 from both sides: 9x = -63", "Divide both sides by 9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 50) - 9 = x + 428", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 50, \"c\": 9, \"e\": 428, \"x\": -7}", "seed": "8698212950901089160", "semantic_fingerprint": "sha256:e51e82aadd1907f030167d40821279fd7d94f5130ed568d0a78c9e5ae2eeb51c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003460", "prompt": "Find x: 6(x - 41) + 557 = 5(x + 61)", "solution_steps": ["Expand: 6x - 246 + 557 = 5(x + 61)", "Expand: 6x - 246 + 557 = 5x + 305", "Combine constants: 6x + 311 = 5x + 305", "Subtract 5x from both sides: x + 311 = 305", "Subtract 311 from both sides: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 41) + 557 = 5(x + 61)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 41, \"c\": 5, \"d\": 61, \"f\": 557, \"x\": -6}", "seed": "2856332855748459815", "semantic_fingerprint": "sha256:dd68d29b038b51c7c46c982cf2e7b8514bd1b55148e07dbc04f67c8de26982d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003461", "prompt": "Calculate: -39 * 61 * 9 * (-72 - (-81))", "solution_steps": ["Multiply: -39 * 61 = -2379", "Multiply: -2379 * 9 = -21411", "Subtract: -72 - (-81) = 9", "Multiply: -21411 * 9 = -192699"], "final_answer": "-192699", "answer_type": "integer", "kind": "expression", "math_text": "-39 * 61 * 9 * (-72 - (-81))", "variable": null, "family": "expression_4op", "shape": "(* (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 61, \"c\": 9, \"d\": -72, \"e\": -81}", "seed": "13559061923053516613", "semantic_fingerprint": "sha256:d9c91f63e4d1a7a383dd442fa8def4f9933468c266156a4a0a0b3f3a354a2e60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003462", "prompt": "Solve the equation 7(x + 4) + 484 = x + 88 for x.", "solution_steps": ["Expand: 7x + 28 + 484 = x + 88", "Combine constants: 7x + 512 = x + 88", "Subtract x from both sides: 6x + 512 = 88", "Subtract 512 from both sides: 6x = -424", "Divide both sides by 6: x = -212/3"], "final_answer": "-212/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 4) + 484 = x + 88", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 484, \"d\": 88}", "seed": "8922251092522492588", "semantic_fingerprint": "sha256:983d2449dee3b3dbcd7df7de695d40ce57ab169d9c4d374263b2369cc0b341b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003463", "prompt": "Calculate: (-5 + (-43) - 98) * (-4 + (-74 - 96))", "solution_steps": ["Add: -5 + (-43) = -48", "Subtract: -48 - 98 = -146", "Subtract: -74 - 96 = -170", "Add: -4 + (-170) = -174", "Multiply: -146 * (-174) = 25404"], "final_answer": "25404", "answer_type": "integer", "kind": "expression", "math_text": "(-5 + (-43) - 98) * (-4 + (-74 - 96))", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -43, \"c\": 98, \"d\": -4, \"e\": -74, \"f\": 96}", "seed": "7175714521670252658", "semantic_fingerprint": "sha256:b2b955b91959630cc0eeb0df62c941c6df63525242523e0f1653eb54c329c4ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003464", "prompt": "Find x: 8(x - 878) - 53 = x + 27", "solution_steps": ["Expand: 8x - 7024 - 53 = x + 27", "Combine constants: 8x - 7077 = x + 27", "Subtract x from both sides: 7x - 7077 = 27", "Add 7077 to both sides: 7x = 7104", "Divide both sides by 7: x = 7104/7"], "final_answer": "7104/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 878) - 53 = x + 27", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 878, \"c\": 53, \"d\": 27}", "seed": "15502648184305195526", "semantic_fingerprint": "sha256:955c2b194029351bd4ef06bfc4703d528ceee48d022b36f71a273e3be62a08e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003465", "prompt": "Solve the equation 7x - 367 = 5(x - 77) for x.", "solution_steps": ["Expand: 7x - 367 = 5x - 385", "Subtract 5x from both sides: 2x - 367 = -385", "Add 367 to both sides: 2x = -18", "Divide both sides by 2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 367 = 5(x - 77)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 77, \"e\": -367, \"x\": -9}", "seed": "9880040941962109453", "semantic_fingerprint": "sha256:8fffeb8065c7de82f44fe3ffdd26d9931fcac90517c95d000e58a6deccacc028", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003466", "prompt": "What value of x satisfies 9x - 73 = 6x - 67?", "solution_steps": ["Subtract 6x from both sides: 3x - 73 = -67", "Add 73 to both sides: 3x = 6", "Divide both sides by 3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 73 = 6x - 67", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 73, \"c\": 6, \"d\": 67}", "seed": "2808251975795914310", "semantic_fingerprint": "sha256:2544427671133627cb2e11b35d7bcf1dbb7ac6835b8547f3a7a447a2b6cdd238", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003467", "prompt": "Solve for x: -4x - 9 = -3x - 4", "solution_steps": ["Add 3x to both sides: -x - 9 = -4", "Add 9 to both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 9 = -3x - 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": -3, \"e\": -4, \"x\": -5}", "seed": "1608045919205414011", "semantic_fingerprint": "sha256:e58d33c47f1c033839c54ed88d7917acc2df2643fb37472892a222d6e65b835a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003468", "prompt": "Compute: -1 / (5 + (-1) * (-490) * (-9))", "solution_steps": ["Multiply: -1 * (-490) = 490", "Multiply: 490 * (-9) = -4410", "Add: 5 + (-4410) = -4405", "Divide: -1 / (-4405) = 1/4405"], "final_answer": "1/4405", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (5 + (-1) * (-490) * (-9))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (* (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 5, \"c\": -1, \"d\": -490, \"e\": -9}", "seed": "3967214504544992703", "semantic_fingerprint": "sha256:ee42b15455445d2934712b29647bcf0e044a96f32847e68c84275facf58c8d89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003469", "prompt": "Find x: -9x = 5(x + 70) - 350", "solution_steps": ["Expand: -9x = 5x + 350 - 350", "Combine constants: -9x = 5x", "Subtract 5x from both sides: -14x = 0", "Divide both sides by -14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 5(x + 70) - 350", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 70, \"e\": -350, \"x\": 0}", "seed": "17044192917343657750", "semantic_fingerprint": "sha256:f11313f636c4b83b745e84a844b3ed5c1e40395eecac5b4b047d9cefe493a2be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003470", "prompt": "Find x: -5(x + 72) = 4(x - 9) + 484", "solution_steps": ["Expand: -5x - 360 = 4(x - 9) + 484", "Expand: -5x - 360 = 4x - 36 + 484", "Combine constants: -5x - 360 = 4x + 448", "Subtract 4x from both sides: -9x - 360 = 448", "Add 360 to both sides: -9x = 808", "Divide both sides by -9: x = -808/9"], "final_answer": "-808/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 72) = 4(x - 9) + 484", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 72, \"c\": 4, \"d\": 9, \"e\": 484}", "seed": "375381581004459023", "semantic_fingerprint": "sha256:3eda1684d7ffcef6f2a7fa8219f549c5cc9173495f242ffce8b71dc80e8ba860", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003471", "prompt": "Calculate: (0 - (-68 - (-105) * 66)) * (-42)", "solution_steps": ["Multiply: -105 * 66 = -6930", "Subtract: -68 - (-6930) = 6862", "Subtract: 0 - 6862 = -6862", "Multiply: -6862 * (-42) = 288204"], "final_answer": "288204", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-68 - (-105) * 66)) * (-42)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -68, \"c\": -105, \"d\": 66, \"e\": -42}", "seed": "10717832800321043058", "semantic_fingerprint": "sha256:16f05cfc11829b7a8e7673156ba0bdbe0c5968a47679e219698b567310c24b03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003472", "prompt": "Evaluate: 94 / (49 * (-89 + (-7)))", "solution_steps": ["Add: -89 + (-7) = -96", "Multiply: 49 * (-96) = -4704", "Divide: 94 / (-4704) = -47/2352"], "final_answer": "-47/2352", "answer_type": "rational", "kind": "expression", "math_text": "94 / (49 * (-89 + (-7)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 49, \"c\": -89, \"d\": -7}", "seed": "9789987520378970023", "semantic_fingerprint": "sha256:fdb49a6d1e7fe4a453c305665e88e266bf11e7a2a6afe4b7d5d08bcde348ba32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003473", "prompt": "What value of x satisfies 7x - 29 = 5(x - 592)?", "solution_steps": ["Expand: 7x - 29 = 5x - 2960", "Subtract 5x from both sides: 2x - 29 = -2960", "Add 29 to both sides: 2x = -2931", "Divide both sides by 2: x = -2931/2"], "final_answer": "-2931/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 29 = 5(x - 592)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 29, \"c\": 5, \"d\": 592}", "seed": "17161013542538229279", "semantic_fingerprint": "sha256:c4ac48a80b87b0bbe13833efd73f137a0b020a3df208255401bbef4a6c815492", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003474", "prompt": "Find x: 9(x + 10) + 2 = x + 2", "solution_steps": ["Expand: 9x + 90 + 2 = x + 2", "Combine constants: 9x + 92 = x + 2", "Subtract x from both sides: 8x + 92 = 2", "Subtract 92 from both sides: 8x = -90", "Divide both sides by 8: x = -45/4"], "final_answer": "-45/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 10) + 2 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 2, \"d\": 2}", "seed": "10340632996787636680", "semantic_fingerprint": "sha256:010e95f4761471e91674e4a8aead1af8e970c68ba5fca05f9d1f368e4c85e80d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003475", "prompt": "Solve for x: -5(x + 26) - 73 = x + 7", "solution_steps": ["Expand: -5x - 130 - 73 = x + 7", "Combine constants: -5x - 203 = x + 7", "Subtract x from both sides: -6x - 203 = 7", "Add 203 to both sides: -6x = 210", "Divide both sides by -6: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 26) - 73 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 26, \"c\": 73, \"d\": 7}", "seed": "7319290714891989212", "semantic_fingerprint": "sha256:f9244e43a384effc2760715df2d3e22fba33de8b846e8588b2d90ce358f0a848", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003476", "prompt": "Solve for x: 7x = -3(x + 2) - 24", "solution_steps": ["Expand: 7x = -3x - 6 - 24", "Combine constants: 7x = -3x - 30", "Add 3x to both sides: 10x = -30", "Divide both sides by 10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -3(x + 2) - 24", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -3, \"c\": 2, \"e\": -24, \"x\": -3}", "seed": "2506629438454736943", "semantic_fingerprint": "sha256:9ba7addd8c4c16e8ff895b6cf9bc9026cb37b8908342ac7aa0796853d861ad64", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003477", "prompt": "Compute: (-7 - (0 + (-8 + 981))) * (-5)", "solution_steps": ["Add: -8 + 981 = 973", "Add: 0 + 973 = 973", "Subtract: -7 - 973 = -980", "Multiply: -980 * (-5) = 4900"], "final_answer": "4900", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (0 + (-8 + 981))) * (-5)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": -8, \"d\": 981, \"e\": -5}", "seed": "6898088261928952844", "semantic_fingerprint": "sha256:ce2deab0a16990f838e713921fe82ecb926e8b365b531eb9640f421a83ba9c35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003478", "prompt": "Solve the equation 11(x - 68) + 6 = 2(x + 3) for x.", "solution_steps": ["Expand: 11x - 748 + 6 = 2(x + 3)", "Expand: 11x - 748 + 6 = 2x + 6", "Combine constants: 11x - 742 = 2x + 6", "Subtract 2x from both sides: 9x - 742 = 6", "Add 742 to both sides: 9x = 748", "Divide both sides by 9: x = 748/9"], "final_answer": "748/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 68) + 6 = 2(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 68, \"c\": 6, \"d\": 2, \"e\": 3}", "seed": "7339354798071104318", "semantic_fingerprint": "sha256:fd322b7e96c65423d42ee9c3f04b68a61e3376a304fce20ccf41b23babba3cb7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003479", "prompt": "Solve the equation 9x = 5(x + 8) + 2 for x.", "solution_steps": ["Expand: 9x = 5x + 40 + 2", "Combine constants: 9x = 5x + 42", "Subtract 5x from both sides: 4x = 42", "Divide both sides by 4: x = 21/2"], "final_answer": "21/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 5(x + 8) + 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 8, \"d\": 2}", "seed": "14452975460747493803", "semantic_fingerprint": "sha256:cbabd20203071d6c2f96dc34bc606bed97df201fa09f9bd40883a64fc79744a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003480", "prompt": "Compute: 1 - 9 * (20 / (-31))", "solution_steps": ["Divide: 20 / (-31) = -20/31", "Multiply: 9 * (-20/31) = -180/31", "Subtract: 1 - (-180/31) = 211/31"], "final_answer": "211/31", "answer_type": "rational", "kind": "expression", "math_text": "1 - 9 * (20 / (-31))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"c\": 20, \"d\": -31}", "seed": "8281642982899264597", "semantic_fingerprint": "sha256:6ac1b38d74ace8f0611ba774f080e8242b95d391cc76b76e6060b346545f32a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003481", "prompt": "Calculate: -59 * (76 * 11) + 951", "solution_steps": ["Multiply: 76 * 11 = 836", "Multiply: -59 * 836 = -49324", "Add: -49324 + 951 = -48373"], "final_answer": "-48373", "answer_type": "integer", "kind": "expression", "math_text": "-59 * (76 * 11) + 951", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 76, \"c\": 11, \"d\": 951}", "seed": "9790799458524722908", "semantic_fingerprint": "sha256:60d0f07fc853cb6d031f5f7d1d167d21496ee86794602325d0fec0e0f54b1550", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003482", "prompt": "Solve the equation 10(x + 39) + 339 = x + 657 for x.", "solution_steps": ["Expand: 10x + 390 + 339 = x + 657", "Combine constants: 10x + 729 = x + 657", "Subtract x from both sides: 9x + 729 = 657", "Subtract 729 from both sides: 9x = -72", "Divide both sides by 9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 39) + 339 = x + 657", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 39, \"c\": 339, \"e\": 657, \"x\": -8}", "seed": "2625427780416647074", "semantic_fingerprint": "sha256:ff5d6fcb95a0cf0ca88ef56dc0f90e35f90e5051bcad26e021957409d7cc46b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003483", "prompt": "Solve for x: 8(x + 24) - 25 = x + 31", "solution_steps": ["Expand: 8x + 192 - 25 = x + 31", "Combine constants: 8x + 167 = x + 31", "Subtract x from both sides: 7x + 167 = 31", "Subtract 167 from both sides: 7x = -136", "Divide both sides by 7: x = -136/7"], "final_answer": "-136/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 24) - 25 = x + 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 24, \"c\": 25, \"d\": 31}", "seed": "1902873793481539131", "semantic_fingerprint": "sha256:2b35eacbe057d9e2555a97ea8462f5a6b3ed84d95ec2b620482c781625ef9a81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003484", "prompt": "What value of x satisfies -7x - 28 = 7x - 196?", "solution_steps": ["Subtract 7x from both sides: -14x - 28 = -196", "Add 28 to both sides: -14x = -168", "Divide both sides by -14: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 28 = 7x - 196", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 28, \"c\": 7, \"e\": -196, \"x\": 12}", "seed": "6068655716073822186", "semantic_fingerprint": "sha256:9e7f0ef0fe4e336e2c340a5268fc6db96ed0e4036b434d4d3ad80c48928247f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003485", "prompt": "What value of x satisfies 3x - 628 = -3(x - 52)?", "solution_steps": ["Expand: 3x - 628 = -3x + 156", "Add 3x to both sides: 6x - 628 = 156", "Add 628 to both sides: 6x = 784", "Divide both sides by 6: x = 392/3"], "final_answer": "392/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 628 = -3(x - 52)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 628, \"c\": -3, \"d\": 52}", "seed": "6158148217854621999", "semantic_fingerprint": "sha256:80148ac505245024be98577d4978d0bd582775af15d3f0765fb1f07d42e77f88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003486", "prompt": "Compute: 74 / (-14 / (519 * 9) * 18)", "solution_steps": ["Multiply: 519 * 9 = 4671", "Divide: -14 / 4671 = -14/4671", "Multiply: (-14/4671) * 18 = -28/519", "Divide: 74 / (-28/519) = -19203/14"], "final_answer": "-19203/14", "answer_type": "rational", "kind": "expression", "math_text": "74 / (-14 / (519 * 9) * 18)", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -14, \"c\": 519, \"d\": 9, \"e\": 18}", "seed": "16091321540895620040", "semantic_fingerprint": "sha256:818586be9639b35adb50da98e77ae15b658e9fe43b05f08bc049f736af8da441", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003487", "prompt": "Compute: (0 - (-45) / 212) * ((-3 + (-18)) * 877)", "solution_steps": ["Divide: -45 / 212 = -45/212", "Subtract: 0 - (-45/212) = 45/212", "Add: -3 + (-18) = -21", "Multiply: -21 * 877 = -18417", "Multiply: (45/212) * (-18417) = -828765/212"], "final_answer": "-828765/212", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-45) / 212) * ((-3 + (-18)) * 877)", "variable": null, "family": "expression_5op", "shape": "(* (- n (/ n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -45, \"c\": 212, \"d\": -3, \"e\": -18, \"f\": 877}", "seed": "16717875247676105731", "semantic_fingerprint": "sha256:2c507db2c84eb5f78db288b54cccc277ea2979f14aa193e6e65af28b20a5034b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003488", "prompt": "Calculate: (6 - 87 * (-3)) / (-47)", "solution_steps": ["Multiply: 87 * (-3) = -261", "Subtract: 6 - (-261) = 267", "Divide: 267 / (-47) = -267/47"], "final_answer": "-267/47", "answer_type": "rational", "kind": "expression", "math_text": "(6 - 87 * (-3)) / (-47)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 87, \"c\": -3, \"d\": -47}", "seed": "13892340963385733926", "semantic_fingerprint": "sha256:f4557e2b9cc89fc956bac4583a91094c4c8c9f78de470cf89131ec6762014f7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003489", "prompt": "Compute: -85 - (-9 + 891) / 71", "solution_steps": ["Add: -9 + 891 = 882", "Divide: 882 / 71 = 882/71", "Subtract: -85 - 882/71 = -6917/71"], "final_answer": "-6917/71", "answer_type": "rational", "kind": "expression", "math_text": "-85 - (-9 + 891) / 71", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -9, \"c\": 891, \"d\": 71}", "seed": "12600378152839075159", "semantic_fingerprint": "sha256:430234d70d9870237f8cbf4d343ff1de553beeca2edc0a7ece2d5503578bb5a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003490", "prompt": "Solve the equation 3x - 86 = 10x - 86 for x.", "solution_steps": ["Subtract 10x from both sides: -7x - 86 = -86", "Add 86 to both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 86 = 10x - 86", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 86, \"c\": 10, \"e\": -86, \"x\": 0}", "seed": "17962141530489499266", "semantic_fingerprint": "sha256:a7e960daf8cd1146b209867af7410410db83d4e4bfd7344322df37d1e975ef7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003491", "prompt": "Calculate: 58 - (-617 + (-54)) / 7", "solution_steps": ["Add: -617 + (-54) = -671", "Divide: -671 / 7 = -671/7", "Subtract: 58 - (-671/7) = 1077/7"], "final_answer": "1077/7", "answer_type": "rational", "kind": "expression", "math_text": "58 - (-617 + (-54)) / 7", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -617, \"c\": -54, \"d\": 7}", "seed": "7713511191163629976", "semantic_fingerprint": "sha256:aabdc319675bd62312acb030bd7a20aeab2f5b10aa3385b7775137a02464164c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003492", "prompt": "Calculate: -204 / (433 - (-8 - 96 + (-7))) - (-2)", "solution_steps": ["Subtract: -8 - 96 = -104", "Add: -104 + (-7) = -111", "Subtract: 433 - (-111) = 544", "Divide: -204 / 544 = -3/8", "Subtract: -3/8 - (-2) = 13/8"], "final_answer": "13/8", "answer_type": "rational", "kind": "expression", "math_text": "-204 / (433 - (-8 - 96 + (-7))) - (-2)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (- n (+ (- n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -204, \"b\": 433, \"c\": -8, \"d\": 96, \"e\": -7, \"f\": -2}", "seed": "7758425904742526275", "semantic_fingerprint": "sha256:deba840fdac5577ee37ba023e592a8d499a64ddff41ef935912041b4d062f36a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003493", "prompt": "Solve the equation -11x - 79 = -10x - 92 for x.", "solution_steps": ["Add 10x to both sides: -x - 79 = -92", "Add 79 to both sides: -x = -13", "Divide both sides by -1: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 79 = -10x - 92", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 79, \"c\": -10, \"e\": -92, \"x\": 13}", "seed": "3291608224706251153", "semantic_fingerprint": "sha256:2aa9009f962df9e03f0555ac01516b136f64278351e2462fde25e87cadf3a3f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003494", "prompt": "Compute: (1 + (-55)) * (-7 + 231 * 3)", "solution_steps": ["Add: 1 + (-55) = -54", "Multiply: 231 * 3 = 693", "Add: -7 + 693 = 686", "Multiply: -54 * 686 = -37044"], "final_answer": "-37044", "answer_type": "integer", "kind": "expression", "math_text": "(1 + (-55)) * (-7 + 231 * 3)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -55, \"c\": -7, \"d\": 231, \"e\": 3}", "seed": "15880388991200701804", "semantic_fingerprint": "sha256:aa715ffabd0c3a1e44f38418b9b1ed23e6027df030d7f42f7a47f0dbbd9672d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003495", "prompt": "Solve for x: -3(x - 783) - 531 = x + 85", "solution_steps": ["Expand: -3x + 2349 - 531 = x + 85", "Combine constants: -3x + 1818 = x + 85", "Subtract x from both sides: -4x + 1818 = 85", "Subtract 1818 from both sides: -4x = -1733", "Divide both sides by -4: x = 1733/4"], "final_answer": "1733/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 783) - 531 = x + 85", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 783, \"c\": 531, \"d\": 85}", "seed": "8322263972453444315", "semantic_fingerprint": "sha256:ef788b7a727e215b905766bfe26a1e63610f4c334558d3dcb84ca9c2f8bcb4bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003496", "prompt": "Find x: 7(x + 42) + 11 = x + 86", "solution_steps": ["Expand: 7x + 294 + 11 = x + 86", "Combine constants: 7x + 305 = x + 86", "Subtract x from both sides: 6x + 305 = 86", "Subtract 305 from both sides: 6x = -219", "Divide both sides by 6: x = -73/2"], "final_answer": "-73/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 42) + 11 = x + 86", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 42, \"c\": 11, \"d\": 86}", "seed": "17762840304509239848", "semantic_fingerprint": "sha256:7599eab48a083e23e67ee6ea9c47baabd3f81fdc42193ee710b1fb3db6630385", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003497", "prompt": "What value of x satisfies 7x = 4(x + 1) + 20?", "solution_steps": ["Expand: 7x = 4x + 4 + 20", "Combine constants: 7x = 4x + 24", "Subtract 4x from both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 4(x + 1) + 20", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 1, \"e\": 20, \"x\": 8}", "seed": "1994176048419289274", "semantic_fingerprint": "sha256:c90aba16f5d3aca14078b0873fd71fa07943a1cb57c8071f2575a3f23c1bf5cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003498", "prompt": "Calculate: 55 * (-2) * (21 / 7)", "solution_steps": ["Multiply: 55 * (-2) = -110", "Divide: 21 / 7 = 3", "Multiply: -110 * 3 = -330"], "final_answer": "-330", "answer_type": "integer", "kind": "expression", "math_text": "55 * (-2) * (21 / 7)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -2, \"c\": 21, \"d\": 7}", "seed": "5883331242106417053", "semantic_fingerprint": "sha256:1cddda3854a890e1d4d14e48835640a29e425a80548f10dbb4132ef10cb85a44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003499", "prompt": "Solve the equation 9(x - 76) + 9 = 6(x + 9) for x.", "solution_steps": ["Expand: 9x - 684 + 9 = 6(x + 9)", "Expand: 9x - 684 + 9 = 6x + 54", "Combine constants: 9x - 675 = 6x + 54", "Subtract 6x from both sides: 3x - 675 = 54", "Add 675 to both sides: 3x = 729", "Divide both sides by 3: x = 243"], "final_answer": "243", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 76) + 9 = 6(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 76, \"c\": 9, \"d\": 6, \"e\": 9}", "seed": "17265623520937908138", "semantic_fingerprint": "sha256:1417d223aef000a58f357b35ddb45693f9f6011e7552847128052d5287497a8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003500", "prompt": "What is (331 + (-3)) / (315 + 5)?", "solution_steps": ["Add: 331 + (-3) = 328", "Add: 315 + 5 = 320", "Divide: 328 / 320 = 41/40"], "final_answer": "41/40", "answer_type": "rational", "kind": "expression", "math_text": "(331 + (-3)) / (315 + 5)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 331, \"b\": -3, \"c\": 315, \"d\": 5}", "seed": "7218743599377322655", "semantic_fingerprint": "sha256:7b25d97b297967d4457b671d5dd64ed8933fbe1b308ace755d8dba9e824ec677", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003501", "prompt": "What is (-1 - 8) / (-5) / (63 * (-186))?", "solution_steps": ["Subtract: -1 - 8 = -9", "Divide: -9 / (-5) = 9/5", "Multiply: 63 * (-186) = -11718", "Divide: (9/5) / (-11718) = -1/6510"], "final_answer": "-1/6510", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - 8) / (-5) / (63 * (-186))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 8, \"c\": -5, \"d\": 63, \"e\": -186}", "seed": "3728772962150060727", "semantic_fingerprint": "sha256:848176ac3ad74349c78855fed631c4df9ffb84a0a26ac814d5c5dbaf850ca7a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003502", "prompt": "Solve the equation 8x = -12(x + 19) + 7 for x.", "solution_steps": ["Expand: 8x = -12x - 228 + 7", "Combine constants: 8x = -12x - 221", "Add 12x to both sides: 20x = -221", "Divide both sides by 20: x = -221/20"], "final_answer": "-221/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = -12(x + 19) + 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -12, \"c\": 19, \"d\": 7}", "seed": "1957058084684392543", "semantic_fingerprint": "sha256:c531a3cd2b6dd0cf57e7de22aa3bc7dd840d8af121931e080b28cfd7466fcb66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003503", "prompt": "Solve for x: -5(x - 3) - 50 = x + 13", "solution_steps": ["Expand: -5x + 15 - 50 = x + 13", "Combine constants: -5x - 35 = x + 13", "Subtract x from both sides: -6x - 35 = 13", "Add 35 to both sides: -6x = 48", "Divide both sides by -6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 3) - 50 = x + 13", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 50, \"e\": 13, \"x\": -8}", "seed": "3545704382421282889", "semantic_fingerprint": "sha256:ef90b79aab6a5d7f35d7c4f242a4017863c509910e8ca608f62c4ee1bbbcb488", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003504", "prompt": "Compute: 33 + 8 - (0 - (-4 - (-4)))", "solution_steps": ["Add: 33 + 8 = 41", "Subtract: -4 - (-4) = 0", "Subtract: 0 - 0 = 0", "Subtract: 41 - 0 = 41"], "final_answer": "41", "answer_type": "integer", "kind": "expression", "math_text": "33 + 8 - (0 - (-4 - (-4)))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 8, \"c\": 0, \"d\": -4, \"e\": -4}", "seed": "13476776789341649357", "semantic_fingerprint": "sha256:01b8bf0e368c870ddc38158c05cd91991e39219b5e1a05566b2dfe3739d632fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003505", "prompt": "What value of x satisfies 9x - 70 = 8x - 78?", "solution_steps": ["Subtract 8x from both sides: x - 70 = -78", "Add 70 to both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 70 = 8x - 78", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 70, \"c\": 8, \"e\": -78, \"x\": -8}", "seed": "3117030768203662436", "semantic_fingerprint": "sha256:44a55cbca3e1436fd0adde724af2d2939d32dbdb47501e56f8d0fe216b0e3610", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003506", "prompt": "Evaluate: 80 / (-80) + (-179 - (-88 - 99))", "solution_steps": ["Divide: 80 / (-80) = -1", "Subtract: -88 - 99 = -187", "Subtract: -179 - (-187) = 8", "Add: -1 + 8 = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "80 / (-80) + (-179 - (-88 - 99))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -80, \"c\": -179, \"d\": -88, \"e\": 99}", "seed": "8959792858006823287", "semantic_fingerprint": "sha256:5903b6b61f8ec898086b358b2829030b2eee6b271b586ce71a56105d0f551e0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003507", "prompt": "Solve for x: 8(x + 606) = 7(x - 58) + 16", "solution_steps": ["Expand: 8x + 4848 = 7(x - 58) + 16", "Expand: 8x + 4848 = 7x - 406 + 16", "Combine constants: 8x + 4848 = 7x - 390", "Subtract 7x from both sides: x + 4848 = -390", "Subtract 4848 from both sides: x = -5238"], "final_answer": "-5238", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 606) = 7(x - 58) + 16", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 606, \"c\": 7, \"d\": 58, \"e\": 16}", "seed": "8511055769269171815", "semantic_fingerprint": "sha256:f113fd4c6df8ba980026b70e70d3369a881721227e35016055f3b1f1c44c901d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003508", "prompt": "Calculate: 3 / (-20 - (-658)) + (-658 - (-773))", "solution_steps": ["Subtract: -20 - (-658) = 638", "Divide: 3 / 638 = 3/638", "Subtract: -658 - (-773) = 115", "Add: 3/638 + 115 = 73373/638"], "final_answer": "73373/638", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-20 - (-658)) + (-658 - (-773))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -20, \"c\": -658, \"d\": -658, \"e\": -773}", "seed": "15030392438760785830", "semantic_fingerprint": "sha256:e9b9fabf32b289bfbe083722ff3fa5d24e1e36e0b34f7e5c8a59bce1789866e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003509", "prompt": "Evaluate: 5 * 122 + (-90) + (77 + 14) / 78", "solution_steps": ["Multiply: 5 * 122 = 610", "Add: 610 + (-90) = 520", "Add: 77 + 14 = 91", "Divide: 91 / 78 = 7/6", "Add: 520 + 7/6 = 3127/6"], "final_answer": "3127/6", "answer_type": "rational", "kind": "expression", "math_text": "5 * 122 + (-90) + (77 + 14) / 78", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 122, \"c\": -90, \"d\": 77, \"e\": 14, \"f\": 78}", "seed": "1360845999711349169", "semantic_fingerprint": "sha256:6d7ab719faeb1008d4a73df861e116af0372f898eb7f44a84b3ab27f9fef82f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003510", "prompt": "What value of x satisfies 3(x + 103) - 670 = x + 4?", "solution_steps": ["Expand: 3x + 309 - 670 = x + 4", "Combine constants: 3x - 361 = x + 4", "Subtract x from both sides: 2x - 361 = 4", "Add 361 to both sides: 2x = 365", "Divide both sides by 2: x = 365/2"], "final_answer": "365/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 103) - 670 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 103, \"c\": 670, \"d\": 4}", "seed": "3153211139619583280", "semantic_fingerprint": "sha256:743c7b0b5e980bdd2973030cb84d935c31700984203e07f718e5da66c072165a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003511", "prompt": "Find x: 3x - 377 = 11x - 41", "solution_steps": ["Subtract 11x from both sides: -8x - 377 = -41", "Add 377 to both sides: -8x = 336", "Divide both sides by -8: x = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 377 = 11x - 41", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 377, \"c\": 11, \"d\": 41}", "seed": "4086834687841625474", "semantic_fingerprint": "sha256:a2bc83c1ecab780b8d63e158b683aba09968e19279cc6f70dd368281aaa991d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003512", "prompt": "Evaluate: -15 / (-6 * (-1)) - (-112 - (-470) / 688)", "solution_steps": ["Multiply: -6 * (-1) = 6", "Divide: -15 / 6 = -5/2", "Divide: -470 / 688 = -235/344", "Subtract: -112 - (-235/344) = -38293/344", "Subtract: -5/2 - (-38293/344) = 37433/344"], "final_answer": "37433/344", "answer_type": "rational", "kind": "expression", "math_text": "-15 / (-6 * (-1)) - (-112 - (-470) / 688)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (* n n)) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -6, \"c\": -1, \"d\": -112, \"e\": -470, \"f\": 688}", "seed": "12231178407132552682", "semantic_fingerprint": "sha256:d47c3c09c531ee8e88bd6e6f312b000952384e4170ad11f70e3826968b2bdb58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003513", "prompt": "Calculate: (11 + (-8)) * (99 - (7 - 839))", "solution_steps": ["Add: 11 + (-8) = 3", "Subtract: 7 - 839 = -832", "Subtract: 99 - (-832) = 931", "Multiply: 3 * 931 = 2793"], "final_answer": "2793", "answer_type": "integer", "kind": "expression", "math_text": "(11 + (-8)) * (99 - (7 - 839))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -8, \"c\": 99, \"d\": 7, \"e\": 839}", "seed": "4165141361556152318", "semantic_fingerprint": "sha256:9688a0a7c918efbc3f9f46d762adb970aa7d28e8be7eead2f5193c391eaa2349", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003514", "prompt": "What is -36 + (-3) * (-78 + (-7)) / (-814)?", "solution_steps": ["Add: -78 + (-7) = -85", "Multiply: -3 * (-85) = 255", "Divide: 255 / (-814) = -255/814", "Add: -36 + (-255/814) = -29559/814"], "final_answer": "-29559/814", "answer_type": "rational", "kind": "expression", "math_text": "-36 + (-3) * (-78 + (-7)) / (-814)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -3, \"c\": -78, \"d\": -7, \"e\": -814}", "seed": "1794148232935213554", "semantic_fingerprint": "sha256:eae4eb21d5792c7441b5e84cbaa65a9c876d5abec59e01df6e23c1164cf4e812", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003515", "prompt": "What value of x satisfies 10(x + 47) - 6 = x + 91?", "solution_steps": ["Expand: 10x + 470 - 6 = x + 91", "Combine constants: 10x + 464 = x + 91", "Subtract x from both sides: 9x + 464 = 91", "Subtract 464 from both sides: 9x = -373", "Divide both sides by 9: x = -373/9"], "final_answer": "-373/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 47) - 6 = x + 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 47, \"c\": 6, \"d\": 91}", "seed": "8266809399428796471", "semantic_fingerprint": "sha256:628bdadc426e48c772aca30120e19f219ae8b6f121e87214307757230b2be2e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003516", "prompt": "Solve for x: 2(x - 42) - 457 = x + 785", "solution_steps": ["Expand: 2x - 84 - 457 = x + 785", "Combine constants: 2x - 541 = x + 785", "Subtract x from both sides: x - 541 = 785", "Add 541 to both sides: x = 1326"], "final_answer": "1326", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 42) - 457 = x + 785", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 42, \"c\": 457, \"d\": 785}", "seed": "7347196820099741764", "semantic_fingerprint": "sha256:645e9da834a1c1ebf75592d3254b24debe3fdc4ea9b94bc9fbd69689b5eedf69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003517", "prompt": "What is 94 / (8 * (99 + 46))?", "solution_steps": ["Add: 99 + 46 = 145", "Multiply: 8 * 145 = 1160", "Divide: 94 / 1160 = 47/580"], "final_answer": "47/580", "answer_type": "rational", "kind": "expression", "math_text": "94 / (8 * (99 + 46))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 8, \"c\": 99, \"d\": 46}", "seed": "5275603005267032540", "semantic_fingerprint": "sha256:2f50b79d4c3de06778ace99107cd281ffa4a50343436eb1c02e538552437eb81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003518", "prompt": "Evaluate: -8 * (-7 + (-71)) / (78 - 0)", "solution_steps": ["Add: -7 + (-71) = -78", "Multiply: -8 * (-78) = 624", "Subtract: 78 - 0 = 78", "Divide: 624 / 78 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-7 + (-71)) / (78 - 0)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -7, \"c\": -71, \"d\": 78, \"e\": 0}", "seed": "18296756651019578712", "semantic_fingerprint": "sha256:a69e8566b7aaea8ca700f7e54203e2802d85bb18d455e16961fdc31386c5d8cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003519", "prompt": "What value of x satisfies 5x - 605 = -7x - 8?", "solution_steps": ["Add 7x to both sides: 12x - 605 = -8", "Add 605 to both sides: 12x = 597", "Divide both sides by 12: x = 199/4"], "final_answer": "199/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 605 = -7x - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 605, \"c\": -7, \"d\": 8}", "seed": "10676075177605806053", "semantic_fingerprint": "sha256:090466151a01df4fe9e1a30c6b05a4f073af07c2e1274326dd4935699f2312c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003520", "prompt": "Calculate: 61 * 111 + 0 + (-14)", "solution_steps": ["Multiply: 61 * 111 = 6771", "Add: 6771 + 0 = 6771", "Add: 6771 + (-14) = 6757"], "final_answer": "6757", "answer_type": "integer", "kind": "expression", "math_text": "61 * 111 + 0 + (-14)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 111, \"c\": 0, \"d\": -14}", "seed": "14390833078370623174", "semantic_fingerprint": "sha256:5c296e0ec83a39c425314bcb537a4fdd1df0104559d6439eb3b90b95af63abe2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003521", "prompt": "Evaluate: (-82 + (-409)) / (91 + (-53))", "solution_steps": ["Add: -82 + (-409) = -491", "Add: 91 + (-53) = 38", "Divide: -491 / 38 = -491/38"], "final_answer": "-491/38", "answer_type": "rational", "kind": "expression", "math_text": "(-82 + (-409)) / (91 + (-53))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -409, \"c\": 91, \"d\": -53}", "seed": "10908715143169470388", "semantic_fingerprint": "sha256:b762c23fef4c40e44f9bef36f1231d2db81e74096977b4660a6c3aa548a4cf64", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003522", "prompt": "What is 907 - (88 + (-884 + 2)) / 54?", "solution_steps": ["Add: -884 + 2 = -882", "Add: 88 + (-882) = -794", "Divide: -794 / 54 = -397/27", "Subtract: 907 - (-397/27) = 24886/27"], "final_answer": "24886/27", "answer_type": "rational", "kind": "expression", "math_text": "907 - (88 + (-884 + 2)) / 54", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 907, \"b\": 88, \"c\": -884, \"d\": 2, \"e\": 54}", "seed": "16298819945785747204", "semantic_fingerprint": "sha256:79d97df7271aa62e4ab256d728580b3ecc948774110a32936299fc9b21e0949f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003523", "prompt": "Evaluate: 3 / (-21) + (789 * (-3) * 48 + 63)", "solution_steps": ["Divide: 3 / (-21) = -1/7", "Multiply: 789 * (-3) = -2367", "Multiply: -2367 * 48 = -113616", "Add: -113616 + 63 = -113553", "Add: -1/7 + (-113553) = -794872/7"], "final_answer": "-794872/7", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-21) + (789 * (-3) * 48 + 63)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (* (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -21, \"c\": 789, \"d\": -3, \"e\": 48, \"f\": 63}", "seed": "3249164915809877962", "semantic_fingerprint": "sha256:59d48d0cde9de2618b3c28402d3c48730482d90ac4119efa1f827d8d83a003b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003524", "prompt": "Evaluate: (2 + 3) / (-6 + (-879))", "solution_steps": ["Add: 2 + 3 = 5", "Add: -6 + (-879) = -885", "Divide: 5 / (-885) = -1/177"], "final_answer": "-1/177", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 3) / (-6 + (-879))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": -6, \"d\": -879}", "seed": "1638127883205078823", "semantic_fingerprint": "sha256:b945e941601e0fc6bf3470b59eac1e45834109be0f129c7eca85d2564525e209", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003525", "prompt": "Compute: 5 * (-14) - (2 / 2 - (-78))", "solution_steps": ["Multiply: 5 * (-14) = -70", "Divide: 2 / 2 = 1", "Subtract: 1 - (-78) = 79", "Subtract: -70 - 79 = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-14) - (2 / 2 - (-78))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -14, \"c\": 2, \"d\": 2, \"e\": -78}", "seed": "16017643466484130570", "semantic_fingerprint": "sha256:e631115f618cb564f4d8da9f004808b81b90930a945b701d5482e719826c8c5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003526", "prompt": "Evaluate: 30 * (-9) + (-19 - 33 * 342)", "solution_steps": ["Multiply: 30 * (-9) = -270", "Multiply: 33 * 342 = 11286", "Subtract: -19 - 11286 = -11305", "Add: -270 + (-11305) = -11575"], "final_answer": "-11575", "answer_type": "integer", "kind": "expression", "math_text": "30 * (-9) + (-19 - 33 * 342)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -9, \"c\": -19, \"d\": 33, \"e\": 342}", "seed": "14578919280960975779", "semantic_fingerprint": "sha256:912a88227161765f9de610836c7afabce86b1861926385f9126ee98a79dd86c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003527", "prompt": "Solve the equation 4x = 12(x + 48) - 480 for x.", "solution_steps": ["Expand: 4x = 12x + 576 - 480", "Combine constants: 4x = 12x + 96", "Subtract 12x from both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 12(x + 48) - 480", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"c\": 48, \"e\": -480, \"x\": -12}", "seed": "6140384554300058403", "semantic_fingerprint": "sha256:54676ada0c06420a0f7d4daa39405cab7a393a02380f3b555d308f000ace6101", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003528", "prompt": "Solve the equation 2(x + 32) - 937 = x + 458 for x.", "solution_steps": ["Expand: 2x + 64 - 937 = x + 458", "Combine constants: 2x - 873 = x + 458", "Subtract x from both sides: x - 873 = 458", "Add 873 to both sides: x = 1331"], "final_answer": "1331", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 32) - 937 = x + 458", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 32, \"c\": 937, \"d\": 458}", "seed": "6319638711845745905", "semantic_fingerprint": "sha256:194be48c83eef70332b82a1a7ebd2d6a756d4518b0f3c3f82f0cb8945fb62155", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003529", "prompt": "Find x: 11x - 98 = -2(x - 77)", "solution_steps": ["Expand: 11x - 98 = -2x + 154", "Add 2x to both sides: 13x - 98 = 154", "Add 98 to both sides: 13x = 252", "Divide both sides by 13: x = 252/13"], "final_answer": "252/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 98 = -2(x - 77)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 98, \"c\": -2, \"d\": 77}", "seed": "9645538437959949232", "semantic_fingerprint": "sha256:50ff17b671e2f8ceef5791a584a926f20f91f1437b73400eb5ecdf750801a00b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003530", "prompt": "What is 2 * (-24) / (92 / (-19 * (-7 - (-3))))?", "solution_steps": ["Multiply: 2 * (-24) = -48", "Subtract: -7 - (-3) = -4", "Multiply: -19 * (-4) = 76", "Divide: 92 / 76 = 23/19", "Divide: -48 / (23/19) = -912/23"], "final_answer": "-912/23", "answer_type": "rational", "kind": "expression", "math_text": "2 * (-24) / (92 / (-19 * (-7 - (-3))))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (/ n (* n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -24, \"c\": 92, \"d\": -19, \"e\": -7, \"f\": -3}", "seed": "10016271045303803355", "semantic_fingerprint": "sha256:fed6536b1e6a52b123a0dcb52fc58fc747703248e884720db5305c11037d59ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003531", "prompt": "Calculate: -67 * ((-52 + 45) / (-4 / (-116)))", "solution_steps": ["Add: -52 + 45 = -7", "Divide: -4 / (-116) = 1/29", "Divide: -7 / (1/29) = -203", "Multiply: -67 * (-203) = 13601"], "final_answer": "13601", "answer_type": "integer", "kind": "expression", "math_text": "-67 * ((-52 + 45) / (-4 / (-116)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -52, \"c\": 45, \"d\": -4, \"e\": -116}", "seed": "14140876442411157505", "semantic_fingerprint": "sha256:a71e50d3bb1222bd39a49f6b3475d98a6f19f71f94e11189dcffe65ac589ca53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003532", "prompt": "Evaluate: 0 * 700 - (56 - 2 / (-862))", "solution_steps": ["Multiply: 0 * 700 = 0", "Divide: 2 / (-862) = -1/431", "Subtract: 56 - (-1/431) = 24137/431", "Subtract: 0 - 24137/431 = -24137/431"], "final_answer": "-24137/431", "answer_type": "rational", "kind": "expression", "math_text": "0 * 700 - (56 - 2 / (-862))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 700, \"c\": 56, \"d\": 2, \"e\": -862}", "seed": "4183700367534302437", "semantic_fingerprint": "sha256:b0144dcbfb43410dd4cee21254d61bf6b9ddf7e73910672f9870770102aa57aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003533", "prompt": "Solve for x: -8(x + 15) = 4(x - 126) + 252", "solution_steps": ["Expand: -8x - 120 = 4(x - 126) + 252", "Expand: -8x - 120 = 4x - 504 + 252", "Combine constants: -8x - 120 = 4x - 252", "Subtract 4x from both sides: -12x - 120 = -252", "Add 120 to both sides: -12x = -132", "Divide both sides by -12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 15) = 4(x - 126) + 252", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 15, \"c\": 4, \"d\": 126, \"f\": 252, \"x\": 11}", "seed": "4180717978999932068", "semantic_fingerprint": "sha256:a900b2673d88c5101cdfab2d64af144f0ae68fec584a0b089fc05ea335f6b609", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003534", "prompt": "What value of x satisfies 10x - 413 = -11x - 385?", "solution_steps": ["Add 11x to both sides: 21x - 413 = -385", "Add 413 to both sides: 21x = 28", "Divide both sides by 21: x = 4/3"], "final_answer": "4/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 413 = -11x - 385", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 413, \"c\": -11, \"d\": 385}", "seed": "17567427829582952831", "semantic_fingerprint": "sha256:7b73694c1bb7276240069ac8a20a9776a3763aa7dd90e0ae65f63113c965607d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003535", "prompt": "Solve the equation 10(x + 291) - 5 = x + 371 for x.", "solution_steps": ["Expand: 10x + 2910 - 5 = x + 371", "Combine constants: 10x + 2905 = x + 371", "Subtract x from both sides: 9x + 2905 = 371", "Subtract 2905 from both sides: 9x = -2534", "Divide both sides by 9: x = -2534/9"], "final_answer": "-2534/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 291) - 5 = x + 371", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 291, \"c\": 5, \"d\": 371}", "seed": "8806141332053952125", "semantic_fingerprint": "sha256:962ba66af78ec968cc659167dcdfc893148241c82128bea8588160f4660a4b30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003536", "prompt": "Compute: -112 * (-58 - (4 + 75 + (-86)))", "solution_steps": ["Add: 4 + 75 = 79", "Add: 79 + (-86) = -7", "Subtract: -58 - (-7) = -51", "Multiply: -112 * (-51) = 5712"], "final_answer": "5712", "answer_type": "integer", "kind": "expression", "math_text": "-112 * (-58 - (4 + 75 + (-86)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -112, \"b\": -58, \"c\": 4, \"d\": 75, \"e\": -86}", "seed": "1441816855010903130", "semantic_fingerprint": "sha256:6492861873c410a73573684fc5ca3a875ce248a3b03d0935e1b8919dc28d257a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003537", "prompt": "Solve for x: 2x = 5(x + 50) - 220", "solution_steps": ["Expand: 2x = 5x + 250 - 220", "Combine constants: 2x = 5x + 30", "Subtract 5x from both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 5(x + 50) - 220", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 50, \"e\": -220, \"x\": -10}", "seed": "16056227438219205194", "semantic_fingerprint": "sha256:26b9fbe4ae27239edf0dc6957a229a0758a24021d270c50ef1771b21297e6c17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003538", "prompt": "Solve for x: 10x - 28 = 7(x - 4)", "solution_steps": ["Expand: 10x - 28 = 7x - 28", "Subtract 7x from both sides: 3x - 28 = -28", "Add 28 to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 28 = 7(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 4, \"e\": -28, \"x\": 0}", "seed": "1617529169973498896", "semantic_fingerprint": "sha256:ba37a8d755dde0126f553df7e5d76bf492bf3a32836cd8863beaf4513d590d56", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003539", "prompt": "What value of x satisfies 5(x + 9) - 19 = x + 18?", "solution_steps": ["Expand: 5x + 45 - 19 = x + 18", "Combine constants: 5x + 26 = x + 18", "Subtract x from both sides: 4x + 26 = 18", "Subtract 26 from both sides: 4x = -8", "Divide both sides by 4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 9) - 19 = x + 18", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 19, \"e\": 18, \"x\": -2}", "seed": "1561513453757514047", "semantic_fingerprint": "sha256:1554075b7f632cbe99b8973446c6c980c80bebb1036e1a9c9ec17e636a1564fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003540", "prompt": "Solve for x: 7(x + 58) = -11(x - 52) + 586", "solution_steps": ["Expand: 7x + 406 = -11(x - 52) + 586", "Expand: 7x + 406 = -11x + 572 + 586", "Combine constants: 7x + 406 = -11x + 1158", "Add 11x to both sides: 18x + 406 = 1158", "Subtract 406 from both sides: 18x = 752", "Divide both sides by 18: x = 376/9"], "final_answer": "376/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 58) = -11(x - 52) + 586", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 58, \"c\": -11, \"d\": 52, \"e\": 586}", "seed": "2032889888353389822", "semantic_fingerprint": "sha256:cd33583c3d0e06dbe6d473bf85744e1530ea444e7222e6ee4520134318346fa9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003541", "prompt": "What is (3 - 66 + (-365)) / (-6) * (-56)?", "solution_steps": ["Subtract: 3 - 66 = -63", "Add: -63 + (-365) = -428", "Divide: -428 / (-6) = 214/3", "Multiply: (214/3) * (-56) = -11984/3"], "final_answer": "-11984/3", "answer_type": "rational", "kind": "expression", "math_text": "(3 - 66 + (-365)) / (-6) * (-56)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 66, \"c\": -365, \"d\": -6, \"e\": -56}", "seed": "8785078455390501438", "semantic_fingerprint": "sha256:bc2f903617736be4b0071f7795650e4665e1b9040cd2ad3995df51bbb18b57c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003542", "prompt": "Solve for x: -12x = -7(x + 203) - 759", "solution_steps": ["Expand: -12x = -7x - 1421 - 759", "Combine constants: -12x = -7x - 2180", "Add 7x to both sides: -5x = -2180", "Divide both sides by -5: x = 436"], "final_answer": "436", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = -7(x + 203) - 759", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -7, \"c\": 203, \"d\": 759}", "seed": "10911667404398013867", "semantic_fingerprint": "sha256:9240cf1e84a79bf23e4c5b3f1f50820cfe0ed8814a0414f00275a35b183429f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003543", "prompt": "Find x: -12x - 4 = 8(x - 24)", "solution_steps": ["Expand: -12x - 4 = 8x - 192", "Subtract 8x from both sides: -20x - 4 = -192", "Add 4 to both sides: -20x = -188", "Divide both sides by -20: x = 47/5"], "final_answer": "47/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 4 = 8(x - 24)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"c\": 8, \"d\": 24}", "seed": "5646779725622489571", "semantic_fingerprint": "sha256:b58d82070306de766ac9cf0c7d0ef77af4e51cd72cb2ae3d0c75f1677bf24a3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003544", "prompt": "Solve the equation 6x - 51 = 3(x - 5) for x.", "solution_steps": ["Expand: 6x - 51 = 3x - 15", "Subtract 3x from both sides: 3x - 51 = -15", "Add 51 to both sides: 3x = 36", "Divide both sides by 3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 51 = 3(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 5, \"e\": -51, \"x\": 12}", "seed": "14900521610865334312", "semantic_fingerprint": "sha256:f4254880f784813299c95a1c25c6ea24db9c7a523348a77b951c40c01f173770", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003545", "prompt": "Solve for x: 11x - 881 = 3x - 801", "solution_steps": ["Subtract 3x from both sides: 8x - 881 = -801", "Add 881 to both sides: 8x = 80", "Divide both sides by 8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 881 = 3x - 801", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 881, \"c\": 3, \"e\": -801, \"x\": 10}", "seed": "6373246604756960015", "semantic_fingerprint": "sha256:8ec521e40fe4a73c11c5dd899c7cac891b81f4c2e20d2e360d49490f9162d9b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003546", "prompt": "What is 33 + (7 - (524 + (-4) * 932))?", "solution_steps": ["Multiply: -4 * 932 = -3728", "Add: 524 + (-3728) = -3204", "Subtract: 7 - (-3204) = 3211", "Add: 33 + 3211 = 3244"], "final_answer": "3244", "answer_type": "integer", "kind": "expression", "math_text": "33 + (7 - (524 + (-4) * 932))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 7, \"c\": 524, \"d\": -4, \"e\": 932}", "seed": "13632519205804409785", "semantic_fingerprint": "sha256:d8f00905258cb2879d6dbc094f460484d2fbd47165907caa78c4c12a24061378", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003547", "prompt": "Compute: 1 - 38 * (-2 / (-2))", "solution_steps": ["Divide: -2 / (-2) = 1", "Multiply: 38 * 1 = 38", "Subtract: 1 - 38 = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "expression", "math_text": "1 - 38 * (-2 / (-2))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 38, \"c\": -2, \"d\": -2}", "seed": "8280176165668886525", "semantic_fingerprint": "sha256:c1ebef8de57bba7b5384b7c561c0c6eaec3ad0a5fe8c3925bb6f986932800006", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003548", "prompt": "Solve the equation 5x = -11(x + 89) + 659 for x.", "solution_steps": ["Expand: 5x = -11x - 979 + 659", "Combine constants: 5x = -11x - 320", "Add 11x to both sides: 16x = -320", "Divide both sides by 16: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -11(x + 89) + 659", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"c\": 89, \"e\": 659, \"x\": -20}", "seed": "5582796527202598028", "semantic_fingerprint": "sha256:7825267b9bee575fec5d6fa6ff6d770a60b741c225ab322467d5de4cb21507f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003549", "prompt": "What is (-3 + 3) / (0 - (-814)) / (-865)?", "solution_steps": ["Add: -3 + 3 = 0", "Subtract: 0 - (-814) = 814", "Divide: 0 / 814 = 0", "Divide: 0 / (-865) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + 3) / (0 - (-814)) / (-865)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 0, \"d\": -814, \"e\": -865}", "seed": "13301200413029380510", "semantic_fingerprint": "sha256:7d9938bf48223234f29b608fc375937a3c1efda13e3d9026995c52f9c4d173e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003550", "prompt": "Find x: -6x - 20 = 5(x - 22)", "solution_steps": ["Expand: -6x - 20 = 5x - 110", "Subtract 5x from both sides: -11x - 20 = -110", "Add 20 to both sides: -11x = -90", "Divide both sides by -11: x = 90/11"], "final_answer": "90/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x - 20 = 5(x - 22)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 20, \"c\": 5, \"d\": 22}", "seed": "6916618971208952518", "semantic_fingerprint": "sha256:c7a5843b83f13af2345fb27bd1b0caee2227adecb95860a52ff06ff3ada75e98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003551", "prompt": "Compute: -1 / (-3) * (64 / (-66))", "solution_steps": ["Divide: -1 / (-3) = 1/3", "Divide: 64 / (-66) = -32/33", "Multiply: (1/3) * (-32/33) = -32/99"], "final_answer": "-32/99", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-3) * (64 / (-66))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -3, \"c\": 64, \"d\": -66}", "seed": "14073676145834355224", "semantic_fingerprint": "sha256:cdbdfc4ed9a596b2f4d09d8f03db8387cf0b26d09749015234dc3891549cec3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003552", "prompt": "Compute: (-702 - (-3) + (709 - 4)) * 8", "solution_steps": ["Subtract: -702 - (-3) = -699", "Subtract: 709 - 4 = 705", "Add: -699 + 705 = 6", "Multiply: 6 * 8 = 48"], "final_answer": "48", "answer_type": "integer", "kind": "expression", "math_text": "(-702 - (-3) + (709 - 4)) * 8", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -702, \"b\": -3, \"c\": 709, \"d\": 4, \"e\": 8}", "seed": "15398658626787637671", "semantic_fingerprint": "sha256:b51c0f7afd6b583cc7a7db92621f7e5554894e6028744d9c473344a838233e4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003553", "prompt": "What value of x satisfies -5(x - 945) - 32 = x + 4?", "solution_steps": ["Expand: -5x + 4725 - 32 = x + 4", "Combine constants: -5x + 4693 = x + 4", "Subtract x from both sides: -6x + 4693 = 4", "Subtract 4693 from both sides: -6x = -4689", "Divide both sides by -6: x = 1563/2"], "final_answer": "1563/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 945) - 32 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 945, \"c\": 32, \"d\": 4}", "seed": "14294140129468003527", "semantic_fingerprint": "sha256:07a24c47e6222492822666f637ef2e2dda7b1ef128a4ad8d21c6cef494cd7f0a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003554", "prompt": "What is 98 * (-18) * (280 + (-42 - 96 + 9))?", "solution_steps": ["Multiply: 98 * (-18) = -1764", "Subtract: -42 - 96 = -138", "Add: -138 + 9 = -129", "Add: 280 + (-129) = 151", "Multiply: -1764 * 151 = -266364"], "final_answer": "-266364", "answer_type": "integer", "kind": "expression", "math_text": "98 * (-18) * (280 + (-42 - 96 + 9))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (+ n (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -18, \"c\": 280, \"d\": -42, \"e\": 96, \"f\": 9}", "seed": "5070926857121046062", "semantic_fingerprint": "sha256:ed8ac9bf6f2be7354cc9ed8f8ac3e636c35c3921d3254de050a822f87336c668", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003555", "prompt": "What value of x satisfies 7x - 7 = 11(x - 10)?", "solution_steps": ["Expand: 7x - 7 = 11x - 110", "Subtract 11x from both sides: -4x - 7 = -110", "Add 7 to both sides: -4x = -103", "Divide both sides by -4: x = 103/4"], "final_answer": "103/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 7 = 11(x - 10)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 11, \"d\": 10}", "seed": "9210935619517692098", "semantic_fingerprint": "sha256:2c89896991c468e1d9af7ea20c5c56cfa6388ace069023e6f918bba0523fd3c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003556", "prompt": "Calculate: -9 / ((3 * 566 - 547) * (2 - 4))", "solution_steps": ["Multiply: 3 * 566 = 1698", "Subtract: 1698 - 547 = 1151", "Subtract: 2 - 4 = -2", "Multiply: 1151 * (-2) = -2302", "Divide: -9 / (-2302) = 9/2302"], "final_answer": "9/2302", "answer_type": "rational", "kind": "expression", "math_text": "-9 / ((3 * 566 - 547) * (2 - 4))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (- (* n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 566, \"d\": 547, \"e\": 2, \"f\": 4}", "seed": "4504433439075490987", "semantic_fingerprint": "sha256:d8e7535a60fe3cad0186b95ececdc7e9b2e9ce789aef17608f6e104aba37650b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003557", "prompt": "Calculate: -7 * (7 * (-9)) + (-79)", "solution_steps": ["Multiply: 7 * (-9) = -63", "Multiply: -7 * (-63) = 441", "Add: 441 + (-79) = 362"], "final_answer": "362", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (7 * (-9)) + (-79)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": -9, \"d\": -79}", "seed": "15676633502431228750", "semantic_fingerprint": "sha256:b442baf37cf667f13f1a9aca1ae861943587e290fba1032eab9d69435e1ddea4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003558", "prompt": "Solve the equation 4x - 676 = 8(x - 80) for x.", "solution_steps": ["Expand: 4x - 676 = 8x - 640", "Subtract 8x from both sides: -4x - 676 = -640", "Add 676 to both sides: -4x = 36", "Divide both sides by -4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 676 = 8(x - 80)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 80, \"e\": -676, \"x\": -9}", "seed": "17228721972236838824", "semantic_fingerprint": "sha256:89fca1aab85bb0a3df82f9e8d05b0fc4ab854c6a09506306c411b186121e54ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003559", "prompt": "What is 54 * (-1) * (-47 / (-630))?", "solution_steps": ["Multiply: 54 * (-1) = -54", "Divide: -47 / (-630) = 47/630", "Multiply: -54 * (47/630) = -141/35"], "final_answer": "-141/35", "answer_type": "rational", "kind": "expression", "math_text": "54 * (-1) * (-47 / (-630))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -1, \"c\": -47, \"d\": -630}", "seed": "5506797869953556939", "semantic_fingerprint": "sha256:e42b33b167a90adc463586f762227c27eec7afcd4995d8cdc98397debe476481", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003560", "prompt": "Find x: 6(x + 41) - 22 = x + 199", "solution_steps": ["Expand: 6x + 246 - 22 = x + 199", "Combine constants: 6x + 224 = x + 199", "Subtract x from both sides: 5x + 224 = 199", "Subtract 224 from both sides: 5x = -25", "Divide both sides by 5: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 41) - 22 = x + 199", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 41, \"c\": 22, \"e\": 199, \"x\": -5}", "seed": "16222083447548023159", "semantic_fingerprint": "sha256:e2829a079e7407059540994e96761e071f50df6426825a393e9f0dfca9d03548", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003561", "prompt": "Solve the equation 7(x + 8) = 8(x - 69) + 603 for x.", "solution_steps": ["Expand: 7x + 56 = 8(x - 69) + 603", "Expand: 7x + 56 = 8x - 552 + 603", "Combine constants: 7x + 56 = 8x + 51", "Subtract 8x from both sides: -x + 56 = 51", "Subtract 56 from both sides: -x = -5", "Divide both sides by -1: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 8) = 8(x - 69) + 603", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 8, \"d\": 69, \"f\": 603, \"x\": 5}", "seed": "3170012128573651260", "semantic_fingerprint": "sha256:32d56ef363c3c7abb07bfaef4b8ba2b50e1c0392fee1e2811d79ccb3c0c6056b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003562", "prompt": "Solve the equation 12(x + 66) + 56 = x + 826 for x.", "solution_steps": ["Expand: 12x + 792 + 56 = x + 826", "Combine constants: 12x + 848 = x + 826", "Subtract x from both sides: 11x + 848 = 826", "Subtract 848 from both sides: 11x = -22", "Divide both sides by 11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 66) + 56 = x + 826", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 66, \"c\": 56, \"e\": 826, \"x\": -2}", "seed": "9762192398406516547", "semantic_fingerprint": "sha256:0aecf30b251f87c804db9a5cf68331ed1eea5106c7995394fde07da72e808fb6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003563", "prompt": "What is (-41 + (26 * 46 + (-57))) * 24?", "solution_steps": ["Multiply: 26 * 46 = 1196", "Add: 1196 + (-57) = 1139", "Add: -41 + 1139 = 1098", "Multiply: 1098 * 24 = 26352"], "final_answer": "26352", "answer_type": "integer", "kind": "expression", "math_text": "(-41 + (26 * 46 + (-57))) * 24", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 26, \"c\": 46, \"d\": -57, \"e\": 24}", "seed": "3339762077106232999", "semantic_fingerprint": "sha256:4d7d6557a9892eaebabe546c32b80858663fe0b2cdab69b09c7fb085ca3d0729", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003564", "prompt": "Compute: 3 / (-35 * (21 + 4))", "solution_steps": ["Add: 21 + 4 = 25", "Multiply: -35 * 25 = -875", "Divide: 3 / (-875) = -3/875"], "final_answer": "-3/875", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-35 * (21 + 4))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -35, \"c\": 21, \"d\": 4}", "seed": "15815643316548775266", "semantic_fingerprint": "sha256:c6bf2d40eecbb6bd4e67dfaa3a733c247371760ebd28fd4395812b43e33a9303", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003565", "prompt": "What is -353 * (-8 - (-12) - (31 + (-78) - (-3)))?", "solution_steps": ["Subtract: -8 - (-12) = 4", "Add: 31 + (-78) = -47", "Subtract: -47 - (-3) = -44", "Subtract: 4 - (-44) = 48", "Multiply: -353 * 48 = -16944"], "final_answer": "-16944", "answer_type": "integer", "kind": "expression", "math_text": "-353 * (-8 - (-12) - (31 + (-78) - (-3)))", "variable": null, "family": "expression_5op", "shape": "(* n (- (- n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -353, \"b\": -8, \"c\": -12, \"d\": 31, \"e\": -78, \"f\": -3}", "seed": "9603196901663124617", "semantic_fingerprint": "sha256:42facd330eb92a3f0c57783cfab450954852770b0d54690f1410c1292296155f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003566", "prompt": "Find x: -6x - 2 = -8x - 909", "solution_steps": ["Add 8x to both sides: 2x - 2 = -909", "Add 2 to both sides: 2x = -907", "Divide both sides by 2: x = -907/2"], "final_answer": "-907/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x - 2 = -8x - 909", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": -8, \"d\": 909}", "seed": "494990831039690732", "semantic_fingerprint": "sha256:1f76482324cfb39b22af10b53ad551ed4743b0bd604cdfc19c4c3628752103b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003567", "prompt": "What is -33 + (-56 / (-70 * 6) - (-86))?", "solution_steps": ["Multiply: -70 * 6 = -420", "Divide: -56 / (-420) = 2/15", "Subtract: 2/15 - (-86) = 1292/15", "Add: -33 + 1292/15 = 797/15"], "final_answer": "797/15", "answer_type": "rational", "kind": "expression", "math_text": "-33 + (-56 / (-70 * 6) - (-86))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -56, \"c\": -70, \"d\": 6, \"e\": -86}", "seed": "6023840608167972249", "semantic_fingerprint": "sha256:d9d664111d2cba53d4fba7a5c4a027d0a0b9d217e3eba62cdc4644fa1fd84200", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003568", "prompt": "Evaluate: (-4 - (54 + 6)) * 4", "solution_steps": ["Add: 54 + 6 = 60", "Subtract: -4 - 60 = -64", "Multiply: -64 * 4 = -256"], "final_answer": "-256", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - (54 + 6)) * 4", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 54, \"c\": 6, \"d\": 4}", "seed": "12061917928424661709", "semantic_fingerprint": "sha256:ebf82e2cf39e4cbeb9279b92567e27e565b9ccc2abd67f4c56ee887e1d8bc1d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003569", "prompt": "What is (-391 - (-79 + 98)) * 0?", "solution_steps": ["Add: -79 + 98 = 19", "Subtract: -391 - 19 = -410", "Multiply: -410 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-391 - (-79 + 98)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -391, \"b\": -79, \"c\": 98, \"d\": 0}", "seed": "7774222696043558967", "semantic_fingerprint": "sha256:39c88432b55d761b4fd8c21b9abedbbbd91026d487282d9b35232c22b39aac78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003570", "prompt": "Compute: -551 + (6 - (16 - (-562))) - (-54 - (-114))", "solution_steps": ["Subtract: 16 - (-562) = 578", "Subtract: 6 - 578 = -572", "Add: -551 + (-572) = -1123", "Subtract: -54 - (-114) = 60", "Subtract: -1123 - 60 = -1183"], "final_answer": "-1183", "answer_type": "integer", "kind": "expression", "math_text": "-551 + (6 - (16 - (-562))) - (-54 - (-114))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- n (- n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -551, \"b\": 6, \"c\": 16, \"d\": -562, \"e\": -54, \"f\": -114}", "seed": "3395603151274755779", "semantic_fingerprint": "sha256:ff650740a5be14fda4cee13728b73d4b860fa66fe3f02630cf6286743295d805", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003571", "prompt": "What is 64 - 6 - 4 * (607 + (-6))?", "solution_steps": ["Subtract: 64 - 6 = 58", "Add: 607 + (-6) = 601", "Multiply: 4 * 601 = 2404", "Subtract: 58 - 2404 = -2346"], "final_answer": "-2346", "answer_type": "integer", "kind": "expression", "math_text": "64 - 6 - 4 * (607 + (-6))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 6, \"c\": 4, \"d\": 607, \"e\": -6}", "seed": "7168292387261256107", "semantic_fingerprint": "sha256:9e34370a58ea562f8970dfbe8628112cd8ce02c412bd0fcb79704ce2bc469a1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003572", "prompt": "Calculate: 0 * (-5 - 6 - 4) / (-78 - (-67))", "solution_steps": ["Subtract: -5 - 6 = -11", "Subtract: -11 - 4 = -15", "Multiply: 0 * (-15) = 0", "Subtract: -78 - (-67) = -11", "Divide: 0 / (-11) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-5 - 6 - 4) / (-78 - (-67))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- (- n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5, \"c\": 6, \"d\": 4, \"e\": -78, \"f\": -67}", "seed": "4817579411602752667", "semantic_fingerprint": "sha256:1c6be47af6343a96905f8ff43a78cc4614c9c9206d21ef128e83e35f126db31f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003573", "prompt": "Compute: (-97 - 48 / (-550) + (-392)) / (-3 - 66)", "solution_steps": ["Divide: 48 / (-550) = -24/275", "Subtract: -97 - (-24/275) = -26651/275", "Add: -26651/275 + (-392) = -134451/275", "Subtract: -3 - 66 = -69", "Divide: (-134451/275) / (-69) = 44817/6325"], "final_answer": "44817/6325", "answer_type": "rational", "kind": "expression", "math_text": "(-97 - 48 / (-550) + (-392)) / (-3 - 66)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 48, \"c\": -550, \"d\": -392, \"e\": -3, \"f\": 66}", "seed": "4869748020005775135", "semantic_fingerprint": "sha256:0c7347660e0e92fa1221cdb4937a183dea18d731ee7eefaa0e7634d06d0e64f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003574", "prompt": "What value of x satisfies -11(x - 79) - 99 = x + 554?", "solution_steps": ["Expand: -11x + 869 - 99 = x + 554", "Combine constants: -11x + 770 = x + 554", "Subtract x from both sides: -12x + 770 = 554", "Subtract 770 from both sides: -12x = -216", "Divide both sides by -12: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 79) - 99 = x + 554", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 79, \"c\": 99, \"e\": 554, \"x\": 18}", "seed": "10357403104060828358", "semantic_fingerprint": "sha256:465a0e9cf31d5d9fbbae35fe2388a81d6e268fdd5da8a4c45d4afb802da5a862", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003575", "prompt": "Solve for x: 9(x - 85) + 393 = -6(x + 97)", "solution_steps": ["Expand: 9x - 765 + 393 = -6(x + 97)", "Expand: 9x - 765 + 393 = -6x - 582", "Combine constants: 9x - 372 = -6x - 582", "Add 6x to both sides: 15x - 372 = -582", "Add 372 to both sides: 15x = -210", "Divide both sides by 15: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 85) + 393 = -6(x + 97)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 85, \"c\": -6, \"d\": 97, \"f\": 393, \"x\": -14}", "seed": "4141005517785895055", "semantic_fingerprint": "sha256:895d00e3626428edb7ec207c98debc2fa2bba98dfc92b2a52b7db292aba3c27b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003576", "prompt": "What value of x satisfies 2(x + 98) - 9 = x + 182?", "solution_steps": ["Expand: 2x + 196 - 9 = x + 182", "Combine constants: 2x + 187 = x + 182", "Subtract x from both sides: x + 187 = 182", "Subtract 187 from both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 98) - 9 = x + 182", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 98, \"c\": 9, \"e\": 182, \"x\": -5}", "seed": "6962127496074019657", "semantic_fingerprint": "sha256:6045a24bf935451f0c57cc18d189d5d4316d49b974d761e54aa80dde957d167a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003577", "prompt": "Solve the equation -7(x + 6) + 383 = x + 477 for x.", "solution_steps": ["Expand: -7x - 42 + 383 = x + 477", "Combine constants: -7x + 341 = x + 477", "Subtract x from both sides: -8x + 341 = 477", "Subtract 341 from both sides: -8x = 136", "Divide both sides by -8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 6) + 383 = x + 477", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 383, \"e\": 477, \"x\": -17}", "seed": "1373754288494948726", "semantic_fingerprint": "sha256:c5f7c2a360b56b89efddc7b0abd5218c18ba5c128eef59d2dfb7b56cb968f465", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003578", "prompt": "Evaluate: -1 - 0 / (-2) - 9", "solution_steps": ["Divide: 0 / (-2) = 0", "Subtract: -1 - 0 = -1", "Subtract: -1 - 9 = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 0 / (-2) - 9", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 0, \"c\": -2, \"d\": 9}", "seed": "6254087841179834987", "semantic_fingerprint": "sha256:d7c530f14cf358c76896cba703bef72fdd85210adc880cd4e316f9e6f948fdfb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003579", "prompt": "What is -27 * (-53) + 33 * (-687)?", "solution_steps": ["Multiply: -27 * (-53) = 1431", "Multiply: 33 * (-687) = -22671", "Add: 1431 + (-22671) = -21240"], "final_answer": "-21240", "answer_type": "integer", "kind": "expression", "math_text": "-27 * (-53) + 33 * (-687)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -53, \"c\": 33, \"d\": -687}", "seed": "15782769071142681614", "semantic_fingerprint": "sha256:e36a9b296acbc2e34f2dabcd9e5d9960dfa22fb6c39c3eb9a3f57759c4a71ef4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003580", "prompt": "Calculate: -7 / 25 * (0 / 5)", "solution_steps": ["Divide: -7 / 25 = -7/25", "Divide: 0 / 5 = 0", "Multiply: (-7/25) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-7 / 25 * (0 / 5)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 25, \"c\": 0, \"d\": 5}", "seed": "3971332253288390296", "semantic_fingerprint": "sha256:5256be253f554a188760fb7359739a64d1eb9af6e2a354a2b280a9102d1557cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003581", "prompt": "Solve the equation 7x - 13 = 12(x - 9) for x.", "solution_steps": ["Expand: 7x - 13 = 12x - 108", "Subtract 12x from both sides: -5x - 13 = -108", "Add 13 to both sides: -5x = -95", "Divide both sides by -5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 13 = 12(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 9, \"e\": -13, \"x\": 19}", "seed": "2225665206815635596", "semantic_fingerprint": "sha256:3606445ae4189ee319436c2ee6ab9bb078156d20ea5505fdb75bcbfb20ba3e76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003582", "prompt": "Solve the equation 10(x + 25) - 4 = x + 62 for x.", "solution_steps": ["Expand: 10x + 250 - 4 = x + 62", "Combine constants: 10x + 246 = x + 62", "Subtract x from both sides: 9x + 246 = 62", "Subtract 246 from both sides: 9x = -184", "Divide both sides by 9: x = -184/9"], "final_answer": "-184/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 25) - 4 = x + 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 25, \"c\": 4, \"d\": 62}", "seed": "17883698744354519885", "semantic_fingerprint": "sha256:050ac7167c82d13373bba0b7b8111ca8348b94b825d1dc2bdf27eaf4e6c4cf63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003583", "prompt": "Find x: -5x - 95 = 3x - 191", "solution_steps": ["Subtract 3x from both sides: -8x - 95 = -191", "Add 95 to both sides: -8x = -96", "Divide both sides by -8: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 95 = 3x - 191", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 95, \"c\": 3, \"e\": -191, \"x\": 12}", "seed": "7107190518724616412", "semantic_fingerprint": "sha256:7fd40985d000d3d24019ae018ca876f5e5fbc2f67a3e7b2bbc20983063738a60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003584", "prompt": "Evaluate: 19 * 141 / (-20 * 9 + 17)", "solution_steps": ["Multiply: 19 * 141 = 2679", "Multiply: -20 * 9 = -180", "Add: -180 + 17 = -163", "Divide: 2679 / (-163) = -2679/163"], "final_answer": "-2679/163", "answer_type": "rational", "kind": "expression", "math_text": "19 * 141 / (-20 * 9 + 17)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 141, \"c\": -20, \"d\": 9, \"e\": 17}", "seed": "1097809834825339833", "semantic_fingerprint": "sha256:520919737ba6cc57d699df08d3780f17d8e3dcbe7fbbb15ed5846671bf56e8ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003585", "prompt": "Evaluate: (-96 / 4 - (-13)) * (526 - 532)", "solution_steps": ["Divide: -96 / 4 = -24", "Subtract: -24 - (-13) = -11", "Subtract: 526 - 532 = -6", "Multiply: -11 * (-6) = 66"], "final_answer": "66", "answer_type": "integer", "kind": "expression", "math_text": "(-96 / 4 - (-13)) * (526 - 532)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 4, \"c\": -13, \"d\": 526, \"e\": 532}", "seed": "11636081564368868528", "semantic_fingerprint": "sha256:9aeebe4fefca2a5f9588031b83398ae1dd5a6e8332444413bacd0e9ab94fe7ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003586", "prompt": "Solve for x: 7(x + 44) + 7 = x + 213", "solution_steps": ["Expand: 7x + 308 + 7 = x + 213", "Combine constants: 7x + 315 = x + 213", "Subtract x from both sides: 6x + 315 = 213", "Subtract 315 from both sides: 6x = -102", "Divide both sides by 6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 44) + 7 = x + 213", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 44, \"c\": 7, \"e\": 213, \"x\": -17}", "seed": "12886203727480222383", "semantic_fingerprint": "sha256:e282cd028e9dda59ce3992369d7b2169b5ff66472ef63ae82548ec9de17f030b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003587", "prompt": "Calculate: -63 / (-88 * 45) - (-255 + (-9) + (-33))", "solution_steps": ["Multiply: -88 * 45 = -3960", "Divide: -63 / (-3960) = 7/440", "Add: -255 + (-9) = -264", "Add: -264 + (-33) = -297", "Subtract: 7/440 - (-297) = 130687/440"], "final_answer": "130687/440", "answer_type": "rational", "kind": "expression", "math_text": "-63 / (-88 * 45) - (-255 + (-9) + (-33))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (* n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -88, \"c\": 45, \"d\": -255, \"e\": -9, \"f\": -33}", "seed": "9967216856071925456", "semantic_fingerprint": "sha256:c7f70433676ccd9be8875dba08a8a47d3f7cd8df8a5ab2a9569ace9ccf49f460", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003588", "prompt": "What value of x satisfies 8(x + 82) - 9 = x + 535?", "solution_steps": ["Expand: 8x + 656 - 9 = x + 535", "Combine constants: 8x + 647 = x + 535", "Subtract x from both sides: 7x + 647 = 535", "Subtract 647 from both sides: 7x = -112", "Divide both sides by 7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 82) - 9 = x + 535", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 82, \"c\": 9, \"e\": 535, \"x\": -16}", "seed": "1918597541966438063", "semantic_fingerprint": "sha256:8c1bd41635eaefc2b20e956c03a09f9bde518765a93c3952141f65146af1fb90", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003589", "prompt": "Solve the equation -11x = -2(x + 193) + 40 for x.", "solution_steps": ["Expand: -11x = -2x - 386 + 40", "Combine constants: -11x = -2x - 346", "Add 2x to both sides: -9x = -346", "Divide both sides by -9: x = 346/9"], "final_answer": "346/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = -2(x + 193) + 40", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -2, \"c\": 193, \"d\": 40}", "seed": "8536806017000565616", "semantic_fingerprint": "sha256:6c8fab03cecf362683ff9a083d4c4924d2b41a579d4523467b47bf7871cd6c20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003590", "prompt": "Compute: -487 * (-9) * (6 / (-502))", "solution_steps": ["Multiply: -487 * (-9) = 4383", "Divide: 6 / (-502) = -3/251", "Multiply: 4383 * (-3/251) = -13149/251"], "final_answer": "-13149/251", "answer_type": "rational", "kind": "expression", "math_text": "-487 * (-9) * (6 / (-502))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -487, \"b\": -9, \"c\": 6, \"d\": -502}", "seed": "14091098521025350511", "semantic_fingerprint": "sha256:4d739d51a8506a19eafd9ac52e62ae488c39d1c721a877463420e1298835fa59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003591", "prompt": "What is 6 * (-760 + (-8 + 85 / (7 + 50)))?", "solution_steps": ["Add: 7 + 50 = 57", "Divide: 85 / 57 = 85/57", "Add: -8 + 85/57 = -371/57", "Add: -760 + (-371/57) = -43691/57", "Multiply: 6 * (-43691/57) = -87382/19"], "final_answer": "-87382/19", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-760 + (-8 + 85 / (7 + 50)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (+ n (/ n (+ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -760, \"c\": -8, \"d\": 85, \"e\": 7, \"f\": 50}", "seed": "7073091341585530581", "semantic_fingerprint": "sha256:60be3d6db41a87c795c274ec72b00f42c1373ec9c75bc7a24270a34ff7f66b08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003592", "prompt": "Solve for x: -10(x + 98) = 5(x - 885) + 568", "solution_steps": ["Expand: -10x - 980 = 5(x - 885) + 568", "Expand: -10x - 980 = 5x - 4425 + 568", "Combine constants: -10x - 980 = 5x - 3857", "Subtract 5x from both sides: -15x - 980 = -3857", "Add 980 to both sides: -15x = -2877", "Divide both sides by -15: x = 959/5"], "final_answer": "959/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 98) = 5(x - 885) + 568", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 98, \"c\": 5, \"d\": 885, \"e\": 568}", "seed": "13688883275559305850", "semantic_fingerprint": "sha256:8c7573896c08bbc0506768ca9c0a3961b1626d673f8ee652388785e67bfd276d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003593", "prompt": "What is -4 * 9 / (-15) * (83 - (-8) * 705)?", "solution_steps": ["Multiply: -4 * 9 = -36", "Divide: -36 / (-15) = 12/5", "Multiply: -8 * 705 = -5640", "Subtract: 83 - (-5640) = 5723", "Multiply: (12/5) * 5723 = 68676/5"], "final_answer": "68676/5", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 9 / (-15) * (83 - (-8) * 705)", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) n) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": -15, \"d\": 83, \"e\": -8, \"f\": 705}", "seed": "8335793009808280666", "semantic_fingerprint": "sha256:0a0426403fc9ec21b0d6c39d3bf19520c5343c2b0f2f2030004a768e078f12d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003594", "prompt": "Evaluate: 396 / 5 - (651 + (-10) / (-49))", "solution_steps": ["Divide: 396 / 5 = 396/5", "Divide: -10 / (-49) = 10/49", "Add: 651 + 10/49 = 31909/49", "Subtract: 396/5 - 31909/49 = -140141/245"], "final_answer": "-140141/245", "answer_type": "rational", "kind": "expression", "math_text": "396 / 5 - (651 + (-10) / (-49))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 396, \"b\": 5, \"c\": 651, \"d\": -10, \"e\": -49}", "seed": "3139079917907493095", "semantic_fingerprint": "sha256:547ecf8789367f4b740b160655a47c031323e78daa5c346226a39e24c9ab6e39", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003595", "prompt": "Find x: -11(x - 2) + 228 = 11(x + 4)", "solution_steps": ["Expand: -11x + 22 + 228 = 11(x + 4)", "Expand: -11x + 22 + 228 = 11x + 44", "Combine constants: -11x + 250 = 11x + 44", "Subtract 11x from both sides: -22x + 250 = 44", "Subtract 250 from both sides: -22x = -206", "Divide both sides by -22: x = 103/11"], "final_answer": "103/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 2) + 228 = 11(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"c\": 228, \"d\": 11, \"e\": 4}", "seed": "16215740984740063791", "semantic_fingerprint": "sha256:b09fe10966033c9de9e228b3f65ab75aa704c6b186eb13661554dad7b186f8b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003596", "prompt": "Compute: -6 * 55 + 81 * (-89)", "solution_steps": ["Multiply: -6 * 55 = -330", "Multiply: 81 * (-89) = -7209", "Add: -330 + (-7209) = -7539"], "final_answer": "-7539", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 55 + 81 * (-89)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 55, \"c\": 81, \"d\": -89}", "seed": "15054447845240504330", "semantic_fingerprint": "sha256:ecbdc701ba65fc5855df2b296953a6da25134aab55345585629cc7cc5af5d443", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003597", "prompt": "Solve for x: -8(x - 140) - 4 = x + 49", "solution_steps": ["Expand: -8x + 1120 - 4 = x + 49", "Combine constants: -8x + 1116 = x + 49", "Subtract x from both sides: -9x + 1116 = 49", "Subtract 1116 from both sides: -9x = -1067", "Divide both sides by -9: x = 1067/9"], "final_answer": "1067/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 140) - 4 = x + 49", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 140, \"c\": 4, \"d\": 49}", "seed": "9755634253844479606", "semantic_fingerprint": "sha256:c0ffe4aa0010cc22b0cef875c549d12c292417acd4e339053bf60f8d7257f16b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003598", "prompt": "What value of x satisfies -12x = 12(x + 69) + 571?", "solution_steps": ["Expand: -12x = 12x + 828 + 571", "Combine constants: -12x = 12x + 1399", "Subtract 12x from both sides: -24x = 1399", "Divide both sides by -24: x = -1399/24"], "final_answer": "-1399/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 12(x + 69) + 571", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 12, \"c\": 69, \"d\": 571}", "seed": "16016209615267786764", "semantic_fingerprint": "sha256:230d36b99f22938ddc7c3ca396412d11f9b0db8cde59a8444b4b56b9eeda859b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003599", "prompt": "Solve the equation 5(x - 3) + 383 = 2(x + 154) for x.", "solution_steps": ["Expand: 5x - 15 + 383 = 2(x + 154)", "Expand: 5x - 15 + 383 = 2x + 308", "Combine constants: 5x + 368 = 2x + 308", "Subtract 2x from both sides: 3x + 368 = 308", "Subtract 368 from both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) + 383 = 2(x + 154)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 2, \"d\": 154, \"f\": 383, \"x\": -20}", "seed": "3522896491561731898", "semantic_fingerprint": "sha256:00b804c8724da075928d638b5e48051f7629496677fff5b87d460b0fcfeeffc3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003600", "prompt": "Compute: 77 / 62 / 62 - 9 + (-42) + 7", "solution_steps": ["Divide: 77 / 62 = 77/62", "Divide: (77/62) / 62 = 77/3844", "Subtract: 77/3844 - 9 = -34519/3844", "Add: -34519/3844 + (-42) = -195967/3844", "Add: -195967/3844 + 7 = -169059/3844"], "final_answer": "-169059/3844", "answer_type": "rational", "kind": "expression", "math_text": "77 / 62 / 62 - 9 + (-42) + 7", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (/ (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 62, \"c\": 62, \"d\": 9, \"e\": -42, \"f\": 7}", "seed": "173790210657634368", "semantic_fingerprint": "sha256:5fb8c9e7fbd4fd227c214d6ddfed8dc61bd72982db2c41e7570e4bad43a6a0a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003601", "prompt": "Compute: 8 / (-91 * (35 + 1))", "solution_steps": ["Add: 35 + 1 = 36", "Multiply: -91 * 36 = -3276", "Divide: 8 / (-3276) = -2/819"], "final_answer": "-2/819", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-91 * (35 + 1))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -91, \"c\": 35, \"d\": 1}", "seed": "7543550043679309079", "semantic_fingerprint": "sha256:744f22bf26c1fc8ee1aa520122af3fb7945ad04dfd80f004d9450699de4ebc4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003602", "prompt": "Find x: 8(x - 873) + 32 = -5(x + 23)", "solution_steps": ["Expand: 8x - 6984 + 32 = -5(x + 23)", "Expand: 8x - 6984 + 32 = -5x - 115", "Combine constants: 8x - 6952 = -5x - 115", "Add 5x to both sides: 13x - 6952 = -115", "Add 6952 to both sides: 13x = 6837", "Divide both sides by 13: x = 6837/13"], "final_answer": "6837/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 873) + 32 = -5(x + 23)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 873, \"c\": 32, \"d\": -5, \"e\": 23}", "seed": "10390482189625057654", "semantic_fingerprint": "sha256:8bf99458f0c4977e87e56b3acffb0a930df14be07023bdf627c5f622ac3b60d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003603", "prompt": "Calculate: 421 - (-669) / 63 - 148", "solution_steps": ["Divide: -669 / 63 = -223/21", "Subtract: 421 - (-223/21) = 9064/21", "Subtract: 9064/21 - 148 = 5956/21"], "final_answer": "5956/21", "answer_type": "rational", "kind": "expression", "math_text": "421 - (-669) / 63 - 148", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 421, \"b\": -669, \"c\": 63, \"d\": 148}", "seed": "12065850438514574281", "semantic_fingerprint": "sha256:a27687cc46306c3bf15bed03b6f9d9cebd0cbdf65ca3d789c662a0ef3427deb8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003604", "prompt": "Evaluate: 15 + (-98 - (3 + 38))", "solution_steps": ["Add: 3 + 38 = 41", "Subtract: -98 - 41 = -139", "Add: 15 + (-139) = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "expression", "math_text": "15 + (-98 - (3 + 38))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -98, \"c\": 3, \"d\": 38}", "seed": "14903194361054896074", "semantic_fingerprint": "sha256:136952405df08b19d01398dd14a77a3f9ae936a4ed47747b6aed287af0939c63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003605", "prompt": "Compute: (5 + (-25)) * (-73) / 28 - (-26)", "solution_steps": ["Add: 5 + (-25) = -20", "Multiply: -20 * (-73) = 1460", "Divide: 1460 / 28 = 365/7", "Subtract: 365/7 - (-26) = 547/7"], "final_answer": "547/7", "answer_type": "rational", "kind": "expression", "math_text": "(5 + (-25)) * (-73) / 28 - (-26)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -25, \"c\": -73, \"d\": 28, \"e\": -26}", "seed": "10949804198340310278", "semantic_fingerprint": "sha256:01c0d7f4e4e36d5693009f0bec12a91d17f903985fafd64bf48ad3282a56113c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003606", "prompt": "Calculate: (-40 - (-929) / (-4)) * (-8 * 96)", "solution_steps": ["Divide: -929 / (-4) = 929/4", "Subtract: -40 - 929/4 = -1089/4", "Multiply: -8 * 96 = -768", "Multiply: (-1089/4) * (-768) = 209088"], "final_answer": "209088", "answer_type": "integer", "kind": "expression", "math_text": "(-40 - (-929) / (-4)) * (-8 * 96)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -929, \"c\": -4, \"d\": -8, \"e\": 96}", "seed": "5580057207394535137", "semantic_fingerprint": "sha256:50e8478c8435d9f4ee6c0b51be85dc0b1d84c439e29e70a313aff6ae49a846e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003607", "prompt": "What value of x satisfies 4x - 5 = 2x - 11?", "solution_steps": ["Subtract 2x from both sides: 2x - 5 = -11", "Add 5 to both sides: 2x = -6", "Divide both sides by 2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 5 = 2x - 11", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 2, \"e\": -11, \"x\": -3}", "seed": "17244917264794543861", "semantic_fingerprint": "sha256:db6ed42b4f81df8ebf157160d597603ca5c6cd79bb6e230f710dfa87601fd0db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003608", "prompt": "Solve the equation 7x = 6(x + 5) - 34 for x.", "solution_steps": ["Expand: 7x = 6x + 30 - 34", "Combine constants: 7x = 6x - 4", "Subtract 6x from both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 6(x + 5) - 34", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 5, \"e\": -34, \"x\": -4}", "seed": "5782623728107203347", "semantic_fingerprint": "sha256:7b6bce12cfa145a73e2490ac36403999d0579c401f99301c13f803d6af6655f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003609", "prompt": "What is (50 + (665 - (-64))) / (-2 / (84 + (-961)))?", "solution_steps": ["Subtract: 665 - (-64) = 729", "Add: 50 + 729 = 779", "Add: 84 + (-961) = -877", "Divide: -2 / (-877) = 2/877", "Divide: 779 / (2/877) = 683183/2"], "final_answer": "683183/2", "answer_type": "rational", "kind": "expression", "math_text": "(50 + (665 - (-64))) / (-2 / (84 + (-961)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 665, \"c\": -64, \"d\": -2, \"e\": 84, \"f\": -961}", "seed": "6198482888595510650", "semantic_fingerprint": "sha256:8c57d79f9aedb7d34b37d91d99670e32db8c2d3afaec179c1fb34c9eefc766c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003610", "prompt": "What is 62 / (-67) * (173 / (-8))?", "solution_steps": ["Divide: 62 / (-67) = -62/67", "Divide: 173 / (-8) = -173/8", "Multiply: (-62/67) * (-173/8) = 5363/268"], "final_answer": "5363/268", "answer_type": "rational", "kind": "expression", "math_text": "62 / (-67) * (173 / (-8))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -67, \"c\": 173, \"d\": -8}", "seed": "6670345777609320358", "semantic_fingerprint": "sha256:a6887467cb3d98639bf96316b4ab3095cb54f36f2097d5e8a2513f714e9b8bc5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003611", "prompt": "Evaluate: 226 * (-8 + 39 * (-79))", "solution_steps": ["Multiply: 39 * (-79) = -3081", "Add: -8 + (-3081) = -3089", "Multiply: 226 * (-3089) = -698114"], "final_answer": "-698114", "answer_type": "integer", "kind": "expression", "math_text": "226 * (-8 + 39 * (-79))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 226, \"b\": -8, \"c\": 39, \"d\": -79}", "seed": "5159722672408274616", "semantic_fingerprint": "sha256:06f37e82449c5b639d5ac50c2b0780bfbfe0d38d524b3118fa33e5664772c870", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003612", "prompt": "Compute: (-5 - (-321) - 0 - (-8)) / (-94 * 151)", "solution_steps": ["Subtract: -5 - (-321) = 316", "Subtract: 316 - 0 = 316", "Subtract: 316 - (-8) = 324", "Multiply: -94 * 151 = -14194", "Divide: 324 / (-14194) = -162/7097"], "final_answer": "-162/7097", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-321) - 0 - (-8)) / (-94 * 151)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (- n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -321, \"c\": 0, \"d\": -8, \"e\": -94, \"f\": 151}", "seed": "2554134213679280949", "semantic_fingerprint": "sha256:30800de7679159b8f756bfe7dd90435f07e07101b8a208f18d13c9b2f856a2aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003613", "prompt": "Compute: -70 + (-6) - (-538) / (-3 - 1 / (-669))", "solution_steps": ["Add: -70 + (-6) = -76", "Divide: 1 / (-669) = -1/669", "Subtract: -3 - (-1/669) = -2006/669", "Divide: -538 / (-2006/669) = 179961/1003", "Subtract: -76 - 179961/1003 = -256189/1003"], "final_answer": "-256189/1003", "answer_type": "rational", "kind": "expression", "math_text": "-70 + (-6) - (-538) / (-3 - 1 / (-669))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ n (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -6, \"c\": -538, \"d\": -3, \"e\": 1, \"f\": -669}", "seed": "3871952632093605606", "semantic_fingerprint": "sha256:7685ee106427fe58cae4e4a7148cf9c7f4a727136899ad7c08f0579251c9fc3a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003614", "prompt": "Find x: 9(x + 76) + 92 = x + 792", "solution_steps": ["Expand: 9x + 684 + 92 = x + 792", "Combine constants: 9x + 776 = x + 792", "Subtract x from both sides: 8x + 776 = 792", "Subtract 776 from both sides: 8x = 16", "Divide both sides by 8: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 76) + 92 = x + 792", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 76, \"c\": 92, \"e\": 792, \"x\": 2}", "seed": "3074680119336918994", "semantic_fingerprint": "sha256:736086dc04522fbd9f53adb1ff5a6e23bd8fc1b0f9fd5036108f14f20487bd33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003615", "prompt": "Find x: 8x - 264 = 4(x - 78)", "solution_steps": ["Expand: 8x - 264 = 4x - 312", "Subtract 4x from both sides: 4x - 264 = -312", "Add 264 to both sides: 4x = -48", "Divide both sides by 4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 264 = 4(x - 78)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 78, \"e\": -264, \"x\": -12}", "seed": "9283185099868844095", "semantic_fingerprint": "sha256:8c1e992ca6bf33cf8ad9638104fe97e69987c62d7f9ef189a41530f39fdc8ed8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003616", "prompt": "What value of x satisfies 10(x + 21) - 8 = x + 211?", "solution_steps": ["Expand: 10x + 210 - 8 = x + 211", "Combine constants: 10x + 202 = x + 211", "Subtract x from both sides: 9x + 202 = 211", "Subtract 202 from both sides: 9x = 9", "Divide both sides by 9: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 21) - 8 = x + 211", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 21, \"c\": 8, \"e\": 211, \"x\": 1}", "seed": "6153990443187585940", "semantic_fingerprint": "sha256:9555e21b62ec3332882861f0df62c09259fdcb21294ba8443da37c371ad83eab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003617", "prompt": "Calculate: (222 - (-817) - (545 + 6) - 279) / (-666)", "solution_steps": ["Subtract: 222 - (-817) = 1039", "Add: 545 + 6 = 551", "Subtract: 1039 - 551 = 488", "Subtract: 488 - 279 = 209", "Divide: 209 / (-666) = -209/666"], "final_answer": "-209/666", "answer_type": "rational", "kind": "expression", "math_text": "(222 - (-817) - (545 + 6) - 279) / (-666)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 222, \"b\": -817, \"c\": 545, \"d\": 6, \"e\": 279, \"f\": -666}", "seed": "4708638441957801612", "semantic_fingerprint": "sha256:e50888b1b9a3718882227a85420a61d60e587ac56949e0796c5495d8a115b9ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003618", "prompt": "Find x: 6x - 598 = 8x - 902", "solution_steps": ["Subtract 8x from both sides: -2x - 598 = -902", "Add 598 to both sides: -2x = -304", "Divide both sides by -2: x = 152"], "final_answer": "152", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 598 = 8x - 902", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 598, \"c\": 8, \"d\": 902}", "seed": "10217057308390948053", "semantic_fingerprint": "sha256:7a4f994636074a1153b8a6e28ab4587462da684e43b0bf430c7a3abec19e1d8d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003619", "prompt": "Evaluate: -326 - (-756 - 97 + 7) / (2 + 2)", "solution_steps": ["Subtract: -756 - 97 = -853", "Add: -853 + 7 = -846", "Add: 2 + 2 = 4", "Divide: -846 / 4 = -423/2", "Subtract: -326 - (-423/2) = -229/2"], "final_answer": "-229/2", "answer_type": "rational", "kind": "expression", "math_text": "-326 - (-756 - 97 + 7) / (2 + 2)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ (- n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -326, \"b\": -756, \"c\": 97, \"d\": 7, \"e\": 2, \"f\": 2}", "seed": "9194643784972911755", "semantic_fingerprint": "sha256:a0cc802d02fcace3e020dbf129f5994d94db5cbaf7576f2ffc52adfed9a982a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003620", "prompt": "Compute: -359 * 9 + (-8) + (-32)", "solution_steps": ["Multiply: -359 * 9 = -3231", "Add: -3231 + (-8) = -3239", "Add: -3239 + (-32) = -3271"], "final_answer": "-3271", "answer_type": "integer", "kind": "expression", "math_text": "-359 * 9 + (-8) + (-32)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -359, \"b\": 9, \"c\": -8, \"d\": -32}", "seed": "14008116211240147522", "semantic_fingerprint": "sha256:e89387f302cd63d08da3412f5f4489c5578e849899aa5e21c6004614e6b3e7c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003621", "prompt": "Solve the equation 3x - 328 = 11x - 176 for x.", "solution_steps": ["Subtract 11x from both sides: -8x - 328 = -176", "Add 328 to both sides: -8x = 152", "Divide both sides by -8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 328 = 11x - 176", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 328, \"c\": 11, \"e\": -176, \"x\": -19}", "seed": "17573772692721247004", "semantic_fingerprint": "sha256:9d4e2d0a6e730e5ff2657210699e76b9838e0d5af3b70ba368e5795f929bb92d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003622", "prompt": "Find x: 8(x + 28) = 9(x - 69) + 864", "solution_steps": ["Expand: 8x + 224 = 9(x - 69) + 864", "Expand: 8x + 224 = 9x - 621 + 864", "Combine constants: 8x + 224 = 9x + 243", "Subtract 9x from both sides: -x + 224 = 243", "Subtract 224 from both sides: -x = 19", "Divide both sides by -1: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 28) = 9(x - 69) + 864", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 28, \"c\": 9, \"d\": 69, \"f\": 864, \"x\": -19}", "seed": "16662715000284400187", "semantic_fingerprint": "sha256:d7813c91d9176355f0d8e139d4d7d069d0490a1155d13d68134785a640eb7cc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003623", "prompt": "What is (7 + 0) * (-2 + (75 + (-67))) - 3?", "solution_steps": ["Add: 7 + 0 = 7", "Add: 75 + (-67) = 8", "Add: -2 + 8 = 6", "Multiply: 7 * 6 = 42", "Subtract: 42 - 3 = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "(7 + 0) * (-2 + (75 + (-67))) - 3", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 0, \"c\": -2, \"d\": 75, \"e\": -67, \"f\": 3}", "seed": "13506472762260994901", "semantic_fingerprint": "sha256:e69db6905c7ab3d7e0b65da9e73ddc7f70d4dbc362a5c9d475cdfa097ac933a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003624", "prompt": "Compute: 629 / (2 * (83 + 609)) - 8", "solution_steps": ["Add: 83 + 609 = 692", "Multiply: 2 * 692 = 1384", "Divide: 629 / 1384 = 629/1384", "Subtract: 629/1384 - 8 = -10443/1384"], "final_answer": "-10443/1384", "answer_type": "rational", "kind": "expression", "math_text": "629 / (2 * (83 + 609)) - 8", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 629, \"b\": 2, \"c\": 83, \"d\": 609, \"e\": 8}", "seed": "14811787320418544991", "semantic_fingerprint": "sha256:d865fa746ac8da47ad9c5823a592f5a00c0d4e7c5327c0dbe25d5f79373664f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003625", "prompt": "Compute: -97 * (-497) + (3 - (-878))", "solution_steps": ["Multiply: -97 * (-497) = 48209", "Subtract: 3 - (-878) = 881", "Add: 48209 + 881 = 49090"], "final_answer": "49090", "answer_type": "integer", "kind": "expression", "math_text": "-97 * (-497) + (3 - (-878))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -497, \"c\": 3, \"d\": -878}", "seed": "16278941988637072391", "semantic_fingerprint": "sha256:e62a83fd093db823ea1506f53f4569915439402fd0a21b416be1d10c404cf141", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003626", "prompt": "Solve for x: 11x - 7 = 8(x - 6)", "solution_steps": ["Expand: 11x - 7 = 8x - 48", "Subtract 8x from both sides: 3x - 7 = -48", "Add 7 to both sides: 3x = -41", "Divide both sides by 3: x = -41/3"], "final_answer": "-41/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 7 = 8(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 8, \"d\": 6}", "seed": "609414792272070253", "semantic_fingerprint": "sha256:6d5569e5ff35de959520034bf94ffabb5fb25d209e80d090ee14ec0268301c0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003627", "prompt": "Find x: -8(x - 11) + 18 = 2(x + 78)", "solution_steps": ["Expand: -8x + 88 + 18 = 2(x + 78)", "Expand: -8x + 88 + 18 = 2x + 156", "Combine constants: -8x + 106 = 2x + 156", "Subtract 2x from both sides: -10x + 106 = 156", "Subtract 106 from both sides: -10x = 50", "Divide both sides by -10: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 11) + 18 = 2(x + 78)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 11, \"c\": 2, \"d\": 78, \"f\": 18, \"x\": -5}", "seed": "11646217548826351524", "semantic_fingerprint": "sha256:7b4fc53acf25378f493969df7cd384870ecbb13efc95efacef527a011df59689", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003628", "prompt": "Solve for x: 4(x + 48) + 2 = x + 218", "solution_steps": ["Expand: 4x + 192 + 2 = x + 218", "Combine constants: 4x + 194 = x + 218", "Subtract x from both sides: 3x + 194 = 218", "Subtract 194 from both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 48) + 2 = x + 218", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 48, \"c\": 2, \"e\": 218, \"x\": 8}", "seed": "15444344183476382781", "semantic_fingerprint": "sha256:544cdfc3a0077c25e94913bf4b39dbf32c7aa88a4b95f791c0defa9a87c1a882", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003629", "prompt": "Calculate: 60 - (-32) / (-3) - 2 / (-69)", "solution_steps": ["Divide: -32 / (-3) = 32/3", "Subtract: 60 - 32/3 = 148/3", "Divide: 2 / (-69) = -2/69", "Subtract: 148/3 - (-2/69) = 3406/69"], "final_answer": "3406/69", "answer_type": "rational", "kind": "expression", "math_text": "60 - (-32) / (-3) - 2 / (-69)", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -32, \"c\": -3, \"d\": 2, \"e\": -69}", "seed": "2250050761703734429", "semantic_fingerprint": "sha256:73e0831777e728c0641d9b4fd2d63b2e79742f0d221c58dbc5bda695cdc8d3cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003630", "prompt": "What is 3 * 36 * (394 / (-14 - (-524)))?", "solution_steps": ["Multiply: 3 * 36 = 108", "Subtract: -14 - (-524) = 510", "Divide: 394 / 510 = 197/255", "Multiply: 108 * (197/255) = 7092/85"], "final_answer": "7092/85", "answer_type": "rational", "kind": "expression", "math_text": "3 * 36 * (394 / (-14 - (-524)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 36, \"c\": 394, \"d\": -14, \"e\": -524}", "seed": "11429252801856372567", "semantic_fingerprint": "sha256:3e0375a4a589f61f27de87ec977321bac818d0f6e2c586536097d037ebe0817d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003631", "prompt": "What is -79 - (55 + (58 - (-955))) / (-9)?", "solution_steps": ["Subtract: 58 - (-955) = 1013", "Add: 55 + 1013 = 1068", "Divide: 1068 / (-9) = -356/3", "Subtract: -79 - (-356/3) = 119/3"], "final_answer": "119/3", "answer_type": "rational", "kind": "expression", "math_text": "-79 - (55 + (58 - (-955))) / (-9)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 55, \"c\": 58, \"d\": -955, \"e\": -9}", "seed": "16988436404220075241", "semantic_fingerprint": "sha256:7954630c58edddca43bdc2abf86a5d9929348b52f7b0efa157c73ee5568c768a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003632", "prompt": "Solve the equation 6(x - 78) + 4 = 5(x + 86) for x.", "solution_steps": ["Expand: 6x - 468 + 4 = 5(x + 86)", "Expand: 6x - 468 + 4 = 5x + 430", "Combine constants: 6x - 464 = 5x + 430", "Subtract 5x from both sides: x - 464 = 430", "Add 464 to both sides: x = 894"], "final_answer": "894", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 78) + 4 = 5(x + 86)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 78, \"c\": 4, \"d\": 5, \"e\": 86}", "seed": "4433753793978952242", "semantic_fingerprint": "sha256:95b0ec3b630170706d9acd3046da33b7eb177561c0e7c1ae6cb49b01d0ce6ce2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003633", "prompt": "Find x: 3(x + 28) - 4 = x + 64", "solution_steps": ["Expand: 3x + 84 - 4 = x + 64", "Combine constants: 3x + 80 = x + 64", "Subtract x from both sides: 2x + 80 = 64", "Subtract 80 from both sides: 2x = -16", "Divide both sides by 2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 28) - 4 = x + 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 28, \"c\": 4, \"e\": 64, \"x\": -8}", "seed": "9870518044515520993", "semantic_fingerprint": "sha256:2ea943ea2af396f80bcb1d8e55e49488d8db8457e6b43f2cf15a4466c8668528", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003634", "prompt": "Solve for x: 7(x + 84) + 7 = x + 691", "solution_steps": ["Expand: 7x + 588 + 7 = x + 691", "Combine constants: 7x + 595 = x + 691", "Subtract x from both sides: 6x + 595 = 691", "Subtract 595 from both sides: 6x = 96", "Divide both sides by 6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 84) + 7 = x + 691", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 84, \"c\": 7, \"e\": 691, \"x\": 16}", "seed": "2286360061255949591", "semantic_fingerprint": "sha256:a3e528b398a8ca9cc5bc3ee14db252bb1c130c6dc5e23b1c882994d78216e9cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003635", "prompt": "Compute: (74 - (-91) - 726) * (-431)", "solution_steps": ["Subtract: 74 - (-91) = 165", "Subtract: 165 - 726 = -561", "Multiply: -561 * (-431) = 241791"], "final_answer": "241791", "answer_type": "integer", "kind": "expression", "math_text": "(74 - (-91) - 726) * (-431)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -91, \"c\": 726, \"d\": -431}", "seed": "15950504069229298498", "semantic_fingerprint": "sha256:a84004665bd5be44883a7c37a011c82d2fa0eeff3727c6178e33968b0a17671d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003636", "prompt": "Compute: -90 / (-635 / 4) + 43", "solution_steps": ["Divide: -635 / 4 = -635/4", "Divide: -90 / (-635/4) = 72/127", "Add: 72/127 + 43 = 5533/127"], "final_answer": "5533/127", "answer_type": "rational", "kind": "expression", "math_text": "-90 / (-635 / 4) + 43", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -635, \"c\": 4, \"d\": 43}", "seed": "5617929765951016249", "semantic_fingerprint": "sha256:06afe1eaa17b045d26e24d3baa9435610805e1a0d484a8769164cd234a75b0ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003637", "prompt": "Solve for x: 12x - 4 = 9(x - 826)", "solution_steps": ["Expand: 12x - 4 = 9x - 7434", "Subtract 9x from both sides: 3x - 4 = -7434", "Add 4 to both sides: 3x = -7430", "Divide both sides by 3: x = -7430/3"], "final_answer": "-7430/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 4 = 9(x - 826)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 9, \"d\": 826}", "seed": "230155452872166864", "semantic_fingerprint": "sha256:79090bacd5478d3ac042c7e185a01848163d5797d3a327b840ab034a62271149", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003638", "prompt": "Compute: 46 * 0 * (1 + (-903) + 89)", "solution_steps": ["Multiply: 46 * 0 = 0", "Add: 1 + (-903) = -902", "Add: -902 + 89 = -813", "Multiply: 0 * (-813) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "46 * 0 * (1 + (-903) + 89)", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 0, \"c\": 1, \"d\": -903, \"e\": 89}", "seed": "1987006834027263805", "semantic_fingerprint": "sha256:9c3655bf19ea468ab24b7178ead62e0b2eed0487829571dc101012dc01be3435", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003639", "prompt": "Compute: -7 + (-43) + (99 - 3 - 9)", "solution_steps": ["Add: -7 + (-43) = -50", "Subtract: 99 - 3 = 96", "Subtract: 96 - 9 = 87", "Add: -50 + 87 = 37"], "final_answer": "37", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-43) + (99 - 3 - 9)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -43, \"c\": 99, \"d\": 3, \"e\": 9}", "seed": "6367707677147613335", "semantic_fingerprint": "sha256:1135c68e7d28e30670e4c82ad5e4acfb53b85abe703845f965e076c9d64590d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003640", "prompt": "Solve the equation 6(x - 17) + 408 = 4(x + 71) for x.", "solution_steps": ["Expand: 6x - 102 + 408 = 4(x + 71)", "Expand: 6x - 102 + 408 = 4x + 284", "Combine constants: 6x + 306 = 4x + 284", "Subtract 4x from both sides: 2x + 306 = 284", "Subtract 306 from both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 17) + 408 = 4(x + 71)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 17, \"c\": 4, \"d\": 71, \"f\": 408, \"x\": -11}", "seed": "4507762698968981788", "semantic_fingerprint": "sha256:2d709b835c89b91f7efe48ac8cc568981de13e817be5b4e8de8eb9c9c2ff760a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003641", "prompt": "Evaluate: -39 / (-6 / (-9)) + 1", "solution_steps": ["Divide: -6 / (-9) = 2/3", "Divide: -39 / (2/3) = -117/2", "Add: -117/2 + 1 = -115/2"], "final_answer": "-115/2", "answer_type": "rational", "kind": "expression", "math_text": "-39 / (-6 / (-9)) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -6, \"c\": -9, \"d\": 1}", "seed": "4078072703564757555", "semantic_fingerprint": "sha256:9dadcd8f6fc25f91cb734ead1fd6c7f56e850b93bc6aa5dc38d08c7b33f7aa73", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003642", "prompt": "Calculate: (-5 - 401) / (301 / (21 * 9)) + (-4)", "solution_steps": ["Subtract: -5 - 401 = -406", "Multiply: 21 * 9 = 189", "Divide: 301 / 189 = 43/27", "Divide: -406 / (43/27) = -10962/43", "Add: -10962/43 + (-4) = -11134/43"], "final_answer": "-11134/43", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 401) / (301 / (21 * 9)) + (-4)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (/ n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 401, \"c\": 301, \"d\": 21, \"e\": 9, \"f\": -4}", "seed": "4709939407770711896", "semantic_fingerprint": "sha256:da240ad6ac521042b0e26d8d5a3b396c7b7caa88fe8fd25877f19709688152df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003643", "prompt": "Calculate: -69 / (4 - (8 + (-86)) + 1) * 4", "solution_steps": ["Add: 8 + (-86) = -78", "Subtract: 4 - (-78) = 82", "Add: 82 + 1 = 83", "Divide: -69 / 83 = -69/83", "Multiply: (-69/83) * 4 = -276/83"], "final_answer": "-276/83", "answer_type": "rational", "kind": "expression", "math_text": "-69 / (4 - (8 + (-86)) + 1) * 4", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ (- n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 4, \"c\": 8, \"d\": -86, \"e\": 1, \"f\": 4}", "seed": "15642623054512141132", "semantic_fingerprint": "sha256:724cfe12b951981b7012419cb43d1c73856fd44e3e35149c8d8cec31649ddafb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003644", "prompt": "Evaluate: 618 * 5 + 403 * 76", "solution_steps": ["Multiply: 618 * 5 = 3090", "Multiply: 403 * 76 = 30628", "Add: 3090 + 30628 = 33718"], "final_answer": "33718", "answer_type": "integer", "kind": "expression", "math_text": "618 * 5 + 403 * 76", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 618, \"b\": 5, \"c\": 403, \"d\": 76}", "seed": "11113383067517068738", "semantic_fingerprint": "sha256:7e84afc51ee710e01ccdda9523ce872ae4a8a766e233639754f8efc2035b9e16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003645", "prompt": "Calculate: -23 - 795 - (-62 - (-84) * (-86) - 4)", "solution_steps": ["Subtract: -23 - 795 = -818", "Multiply: -84 * (-86) = 7224", "Subtract: -62 - 7224 = -7286", "Subtract: -7286 - 4 = -7290", "Subtract: -818 - (-7290) = 6472"], "final_answer": "6472", "answer_type": "integer", "kind": "expression", "math_text": "-23 - 795 - (-62 - (-84) * (-86) - 4)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- (- n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 795, \"c\": -62, \"d\": -84, \"e\": -86, \"f\": 4}", "seed": "2993468547155049679", "semantic_fingerprint": "sha256:8b056c27335b3e80806d75edbe04827f48946b4700609ffafcbe3b992e1cded3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003646", "prompt": "Compute: -23 / (-64 + (-423) - (0 + (-7)) / 8)", "solution_steps": ["Add: -64 + (-423) = -487", "Add: 0 + (-7) = -7", "Divide: -7 / 8 = -7/8", "Subtract: -487 - (-7/8) = -3889/8", "Divide: -23 / (-3889/8) = 184/3889"], "final_answer": "184/3889", "answer_type": "rational", "kind": "expression", "math_text": "-23 / (-64 + (-423) - (0 + (-7)) / 8)", "variable": null, "family": "expression_5op", "shape": "(/ n (- (+ n n) (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -64, \"c\": -423, \"d\": 0, \"e\": -7, \"f\": 8}", "seed": "4007120926652854109", "semantic_fingerprint": "sha256:5435a126a2089412ac530ec765bb7144e09967c30ab0cbdb77c479efb56a4bf8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003647", "prompt": "Calculate: -190 / (-145 * (74 + 56))", "solution_steps": ["Add: 74 + 56 = 130", "Multiply: -145 * 130 = -18850", "Divide: -190 / (-18850) = 19/1885"], "final_answer": "19/1885", "answer_type": "rational", "kind": "expression", "math_text": "-190 / (-145 * (74 + 56))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -190, \"b\": -145, \"c\": 74, \"d\": 56}", "seed": "16892057386901115175", "semantic_fingerprint": "sha256:56f6f698d0f913a487d712b1f5940adb86412bcfba8749b0d9d6acc0523568ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003648", "prompt": "Compute: 4 * 46 - (115 - (-70) / 5)", "solution_steps": ["Multiply: 4 * 46 = 184", "Divide: -70 / 5 = -14", "Subtract: 115 - (-14) = 129", "Subtract: 184 - 129 = 55"], "final_answer": "55", "answer_type": "integer", "kind": "expression", "math_text": "4 * 46 - (115 - (-70) / 5)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 46, \"c\": 115, \"d\": -70, \"e\": 5}", "seed": "14027582109692245165", "semantic_fingerprint": "sha256:79140a38596ab3eb20d9e629d5aecbc05c0a0550928294fd00d649bfd2b7972f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003649", "prompt": "Calculate: -10 / 698 + (-7 + 9) + (-48)", "solution_steps": ["Divide: -10 / 698 = -5/349", "Add: -7 + 9 = 2", "Add: -5/349 + 2 = 693/349", "Add: 693/349 + (-48) = -16059/349"], "final_answer": "-16059/349", "answer_type": "rational", "kind": "expression", "math_text": "-10 / 698 + (-7 + 9) + (-48)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 698, \"c\": -7, \"d\": 9, \"e\": -48}", "seed": "14698803401714271315", "semantic_fingerprint": "sha256:783de0efbb8946ba49730fafe02c47e1102bb6c80e9dd459199ce7283bddf755", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003650", "prompt": "Solve for x: 5x - 595 = 10(x - 54)", "solution_steps": ["Expand: 5x - 595 = 10x - 540", "Subtract 10x from both sides: -5x - 595 = -540", "Add 595 to both sides: -5x = 55", "Divide both sides by -5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 595 = 10(x - 54)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"c\": 54, \"e\": -595, \"x\": -11}", "seed": "17013396078646719395", "semantic_fingerprint": "sha256:429a26f3e5f0b9e4a95fe933785d324d5bc56ba4f8f30d4703b6556122b0212d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003651", "prompt": "Evaluate: 5 - 788 + 5 + 1 / (-75 / 13)", "solution_steps": ["Subtract: 5 - 788 = -783", "Add: -783 + 5 = -778", "Divide: -75 / 13 = -75/13", "Divide: 1 / (-75/13) = -13/75", "Add: -778 + (-13/75) = -58363/75"], "final_answer": "-58363/75", "answer_type": "rational", "kind": "expression", "math_text": "5 - 788 + 5 + 1 / (-75 / 13)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 788, \"c\": 5, \"d\": 1, \"e\": -75, \"f\": 13}", "seed": "11759497174049513899", "semantic_fingerprint": "sha256:77c6d4824a01c53c742fdf591010e5d4f7eceda5e9080bad5bb7628b22d74f0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003652", "prompt": "Solve for x: 3x - 3 = 10x - 3", "solution_steps": ["Subtract 10x from both sides: -7x - 3 = -3", "Add 3 to both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 3 = 10x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 10, \"e\": -3, \"x\": 0}", "seed": "14839172989471351566", "semantic_fingerprint": "sha256:ef078bb81ad1298402ddb4c5552d215253ada4ada66bebcf3ae0fec731a7e6ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003653", "prompt": "Evaluate: -3 + (-55) + 29 + (16 + (-428))", "solution_steps": ["Add: -3 + (-55) = -58", "Add: -58 + 29 = -29", "Add: 16 + (-428) = -412", "Add: -29 + (-412) = -441"], "final_answer": "-441", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-55) + 29 + (16 + (-428))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -55, \"c\": 29, \"d\": 16, \"e\": -428}", "seed": "17819471645556474349", "semantic_fingerprint": "sha256:131ea114586b118fe72fc73967209143ede39a078f9746db670a44155e86a364", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003654", "prompt": "Calculate: -5 * (-171 * (-21 + (-68))) - 97", "solution_steps": ["Add: -21 + (-68) = -89", "Multiply: -171 * (-89) = 15219", "Multiply: -5 * 15219 = -76095", "Subtract: -76095 - 97 = -76192"], "final_answer": "-76192", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-171 * (-21 + (-68))) - 97", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -171, \"c\": -21, \"d\": -68, \"e\": 97}", "seed": "10875359856631161917", "semantic_fingerprint": "sha256:6072e7e78c329860e334eb646b3ab67f491704648833e688fa44540e74d1b419", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003655", "prompt": "Evaluate: (58 - 0 - 447 / 8) / (-50)", "solution_steps": ["Subtract: 58 - 0 = 58", "Divide: 447 / 8 = 447/8", "Subtract: 58 - 447/8 = 17/8", "Divide: (17/8) / (-50) = -17/400"], "final_answer": "-17/400", "answer_type": "rational", "kind": "expression", "math_text": "(58 - 0 - 447 / 8) / (-50)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 0, \"c\": 447, \"d\": 8, \"e\": -50}", "seed": "2707165008138346559", "semantic_fingerprint": "sha256:2444d0943d288e16a371ff40bc8100a04235c98262373665b015b9c2266edbb8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003656", "prompt": "Solve the equation -4x - 13 = 3(x - 2) for x.", "solution_steps": ["Expand: -4x - 13 = 3x - 6", "Subtract 3x from both sides: -7x - 13 = -6", "Add 13 to both sides: -7x = 7", "Divide both sides by -7: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 13 = 3(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 2, \"e\": -13, \"x\": -1}", "seed": "18404677859150850216", "semantic_fingerprint": "sha256:774ff3c3654b8f58fde02cc66e6c3ece43de5b3c2d338710cdb4a5f0e233d8a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003657", "prompt": "What is -71 - 89 / (-629) - 8?", "solution_steps": ["Divide: 89 / (-629) = -89/629", "Subtract: -71 - (-89/629) = -44570/629", "Subtract: -44570/629 - 8 = -49602/629"], "final_answer": "-49602/629", "answer_type": "rational", "kind": "expression", "math_text": "-71 - 89 / (-629) - 8", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 89, \"c\": -629, \"d\": 8}", "seed": "2452621465708367173", "semantic_fingerprint": "sha256:7e37bc530718e2360d82dba03c80c3dbef1251ccdbca06ccdbc2c2f9127e80f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003658", "prompt": "Solve the equation -9(x + 96) = 7(x - 68) + 323 for x.", "solution_steps": ["Expand: -9x - 864 = 7(x - 68) + 323", "Expand: -9x - 864 = 7x - 476 + 323", "Combine constants: -9x - 864 = 7x - 153", "Subtract 7x from both sides: -16x - 864 = -153", "Add 864 to both sides: -16x = 711", "Divide both sides by -16: x = -711/16"], "final_answer": "-711/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 96) = 7(x - 68) + 323", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 96, \"c\": 7, \"d\": 68, \"e\": 323}", "seed": "6961410078075915785", "semantic_fingerprint": "sha256:c9de38f036f6f8d0e9e00e35ea65589a27f58ba0c178781f23cd58232010c3c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003659", "prompt": "Evaluate: -61 * ((35 / (-4) + (-8) / (-4)) / 59)", "solution_steps": ["Divide: 35 / (-4) = -35/4", "Divide: -8 / (-4) = 2", "Add: -35/4 + 2 = -27/4", "Divide: (-27/4) / 59 = -27/236", "Multiply: -61 * (-27/236) = 1647/236"], "final_answer": "1647/236", "answer_type": "rational", "kind": "expression", "math_text": "-61 * ((35 / (-4) + (-8) / (-4)) / 59)", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ (/ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 35, \"c\": -4, \"d\": -8, \"e\": -4, \"f\": 59}", "seed": "11041851664004499129", "semantic_fingerprint": "sha256:1cc11e7016aab68c5d2009c869e89b62fda189c1466d77672ab3c5d58e3d5eb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003660", "prompt": "Solve the equation 9(x + 5) = -2(x - 1) + 186 for x.", "solution_steps": ["Expand: 9x + 45 = -2(x - 1) + 186", "Expand: 9x + 45 = -2x + 2 + 186", "Combine constants: 9x + 45 = -2x + 188", "Add 2x to both sides: 11x + 45 = 188", "Subtract 45 from both sides: 11x = 143", "Divide both sides by 11: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) = -2(x - 1) + 186", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": -2, \"d\": 1, \"f\": 186, \"x\": 13}", "seed": "5245613990803077005", "semantic_fingerprint": "sha256:7d09ac07cb22e59c4e9e865dbc7fe79962e6d44cb64a2da8d1feafcbf64f1642", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003661", "prompt": "Solve for x: 7(x + 7) + 215 = x + 372", "solution_steps": ["Expand: 7x + 49 + 215 = x + 372", "Combine constants: 7x + 264 = x + 372", "Subtract x from both sides: 6x + 264 = 372", "Subtract 264 from both sides: 6x = 108", "Divide both sides by 6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) + 215 = x + 372", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 215, \"e\": 372, \"x\": 18}", "seed": "3588999505994438713", "semantic_fingerprint": "sha256:22a23ffc1c3f569766eae546ff947494054763e083226ef45dcfc8cbb39b7313", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003662", "prompt": "What is -6 + (69 + 4) - (62 - (-85))?", "solution_steps": ["Add: 69 + 4 = 73", "Add: -6 + 73 = 67", "Subtract: 62 - (-85) = 147", "Subtract: 67 - 147 = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (69 + 4) - (62 - (-85))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 69, \"c\": 4, \"d\": 62, \"e\": -85}", "seed": "15071331034167951288", "semantic_fingerprint": "sha256:2d5aad910a743f128a09d721112bbffe2e76f1d22a2c1e1eca70f65ccc029680", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003663", "prompt": "Calculate: -1 * 36 + 272 * 895", "solution_steps": ["Multiply: -1 * 36 = -36", "Multiply: 272 * 895 = 243440", "Add: -36 + 243440 = 243404"], "final_answer": "243404", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 36 + 272 * 895", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 36, \"c\": 272, \"d\": 895}", "seed": "4168449491357605996", "semantic_fingerprint": "sha256:656367b33717e5ed825c4180521982151003b8cf82e958cdeeb64419c5fbb88f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003664", "prompt": "Find x: 7x = -7(x + 2) - 98", "solution_steps": ["Expand: 7x = -7x - 14 - 98", "Combine constants: 7x = -7x - 112", "Add 7x to both sides: 14x = -112", "Divide both sides by 14: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -7(x + 2) - 98", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"c\": 2, \"e\": -98, \"x\": -8}", "seed": "17325678872622168345", "semantic_fingerprint": "sha256:48adcd5ad7d98b7fc93f8bd247370acc6f03d8b0ba7410b438988030878e451f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003665", "prompt": "Evaluate: (-42 - (-560)) * (253 - 51) * (-7 / 899)", "solution_steps": ["Subtract: -42 - (-560) = 518", "Subtract: 253 - 51 = 202", "Multiply: 518 * 202 = 104636", "Divide: -7 / 899 = -7/899", "Multiply: 104636 * (-7/899) = -732452/899"], "final_answer": "-732452/899", "answer_type": "rational", "kind": "expression", "math_text": "(-42 - (-560)) * (253 - 51) * (-7 / 899)", "variable": null, "family": "expression_5op", "shape": "(* (* (- n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -560, \"c\": 253, \"d\": 51, \"e\": -7, \"f\": 899}", "seed": "7548342987197846943", "semantic_fingerprint": "sha256:b74fe235fa30fbab19e2caa584999a00d5e85b8331d2ea18d111f225ddd04e7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003666", "prompt": "What is 91 - 66 * (16 + 6 * (45 / (-8)))?", "solution_steps": ["Divide: 45 / (-8) = -45/8", "Multiply: 6 * (-45/8) = -135/4", "Add: 16 + (-135/4) = -71/4", "Multiply: 66 * (-71/4) = -2343/2", "Subtract: 91 - (-2343/2) = 2525/2"], "final_answer": "2525/2", "answer_type": "rational", "kind": "expression", "math_text": "91 - 66 * (16 + 6 * (45 / (-8)))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (+ n (* n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 66, \"c\": 16, \"d\": 6, \"e\": 45, \"f\": -8}", "seed": "16640961352984842960", "semantic_fingerprint": "sha256:74b3d177ba5be6921e22d8e3974e9671fc48dd97263aa5aad6ee78082f77d7e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003667", "prompt": "Evaluate: (-4 - (81 + 52)) * 0", "solution_steps": ["Add: 81 + 52 = 133", "Subtract: -4 - 133 = -137", "Multiply: -137 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - (81 + 52)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 81, \"c\": 52, \"d\": 0}", "seed": "8333618895108155352", "semantic_fingerprint": "sha256:ab8feb179d9683baf4a154864924409daececcc6ccb4d016a05aaa6ca3471c29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003668", "prompt": "Evaluate: -5 - 1 - (-219 - (-77) - (-74))", "solution_steps": ["Subtract: -5 - 1 = -6", "Subtract: -219 - (-77) = -142", "Subtract: -142 - (-74) = -68", "Subtract: -6 - (-68) = 62"], "final_answer": "62", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 1 - (-219 - (-77) - (-74))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": -219, \"d\": -77, \"e\": -74}", "seed": "1356767420200387785", "semantic_fingerprint": "sha256:c0822817e340aec1eaa1df7ed7c43fc34840fe372c4f79282bf6b60f61b38ba5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003669", "prompt": "Calculate: 2 - (-38) - (98 + (-315)) + 500 / 232", "solution_steps": ["Subtract: 2 - (-38) = 40", "Add: 98 + (-315) = -217", "Subtract: 40 - (-217) = 257", "Divide: 500 / 232 = 125/58", "Add: 257 + 125/58 = 15031/58"], "final_answer": "15031/58", "answer_type": "rational", "kind": "expression", "math_text": "2 - (-38) - (98 + (-315)) + 500 / 232", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -38, \"c\": 98, \"d\": -315, \"e\": 500, \"f\": 232}", "seed": "8007785692473875135", "semantic_fingerprint": "sha256:54483c5f24a343c51ea038c2c245e2b8bddf61a6226cf97776a9ac901b2f1b18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003670", "prompt": "What is (-5 - (-2 + (-16 + 0))) * (0 / 92)?", "solution_steps": ["Add: -16 + 0 = -16", "Add: -2 + (-16) = -18", "Subtract: -5 - (-18) = 13", "Divide: 0 / 92 = 0", "Multiply: 13 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - (-2 + (-16 + 0))) * (0 / 92)", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n (+ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -2, \"c\": -16, \"d\": 0, \"e\": 0, \"f\": 92}", "seed": "17465735143671617761", "semantic_fingerprint": "sha256:e8050a3d4bfab2442e651543059b427cfbaae93d66bd2f28c421fe4abedbf2bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003671", "prompt": "Evaluate: (-16 - (-15)) / 76 / (-4 * 6)", "solution_steps": ["Subtract: -16 - (-15) = -1", "Divide: -1 / 76 = -1/76", "Multiply: -4 * 6 = -24", "Divide: (-1/76) / (-24) = 1/1824"], "final_answer": "1/1824", "answer_type": "rational", "kind": "expression", "math_text": "(-16 - (-15)) / 76 / (-4 * 6)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -15, \"c\": 76, \"d\": -4, \"e\": 6}", "seed": "11497989999385058305", "semantic_fingerprint": "sha256:f204fde9e9c3d4431e0147fdb30350574b6ef5fd38bbef2c76d283a9cdafe0bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003672", "prompt": "Find x: 12(x + 52) - 3 = x + 621", "solution_steps": ["Expand: 12x + 624 - 3 = x + 621", "Combine constants: 12x + 621 = x + 621", "Subtract x from both sides: 11x + 621 = 621", "Subtract 621 from both sides: 11x = 0", "Divide both sides by 11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 52) - 3 = x + 621", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 52, \"c\": 3, \"e\": 621, \"x\": 0}", "seed": "10207146393420920512", "semantic_fingerprint": "sha256:61564b453d8bf6804258183701f70fd0aac6d4085ecec2ce22874ee0a0ac5986", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003673", "prompt": "Evaluate: (7 + 16) * (-208 * (-6) * 1)", "solution_steps": ["Add: 7 + 16 = 23", "Multiply: -208 * (-6) = 1248", "Multiply: 1248 * 1 = 1248", "Multiply: 23 * 1248 = 28704"], "final_answer": "28704", "answer_type": "integer", "kind": "expression", "math_text": "(7 + 16) * (-208 * (-6) * 1)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 16, \"c\": -208, \"d\": -6, \"e\": 1}", "seed": "7876748402928101688", "semantic_fingerprint": "sha256:65f21b03677778915550ebaf1fcfb337046fdbb6107d4b35105de8c418614038", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003674", "prompt": "Calculate: -6 / (-93) * (-105 / 86)", "solution_steps": ["Divide: -6 / (-93) = 2/31", "Divide: -105 / 86 = -105/86", "Multiply: (2/31) * (-105/86) = -105/1333"], "final_answer": "-105/1333", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-93) * (-105 / 86)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -93, \"c\": -105, \"d\": 86}", "seed": "14612883950246637835", "semantic_fingerprint": "sha256:ac0924a7fbac6598656f41ed382655cdf03ac2131001aef64b0899b7a5b70f84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003675", "prompt": "Compute: 38 / (-33 + (-774)) - (-536) / 5", "solution_steps": ["Add: -33 + (-774) = -807", "Divide: 38 / (-807) = -38/807", "Divide: -536 / 5 = -536/5", "Subtract: -38/807 - (-536/5) = 432362/4035"], "final_answer": "432362/4035", "answer_type": "rational", "kind": "expression", "math_text": "38 / (-33 + (-774)) - (-536) / 5", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -33, \"c\": -774, \"d\": -536, \"e\": 5}", "seed": "2213435851548252854", "semantic_fingerprint": "sha256:da039b52ada7a08d231ce88ae5d1d1e101ff69964ed539a7b1f890cdb5f1fb67", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003676", "prompt": "What is 7 * 3 / (-66) - 45 / 9?", "solution_steps": ["Multiply: 7 * 3 = 21", "Divide: 21 / (-66) = -7/22", "Divide: 45 / 9 = 5", "Subtract: -7/22 - 5 = -117/22"], "final_answer": "-117/22", "answer_type": "rational", "kind": "expression", "math_text": "7 * 3 / (-66) - 45 / 9", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": -66, \"d\": 45, \"e\": 9}", "seed": "9511269973275017268", "semantic_fingerprint": "sha256:39f3db813f5411360d5290ab2b3c1fa0a450ccb63908433180d52f40cfb2cda2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003677", "prompt": "Solve for x: 9x = 10(x + 952) - 25", "solution_steps": ["Expand: 9x = 10x + 9520 - 25", "Combine constants: 9x = 10x + 9495", "Subtract 10x from both sides: -x = 9495", "Divide both sides by -1: x = -9495"], "final_answer": "-9495", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 10(x + 952) - 25", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 952, \"d\": 25}", "seed": "3746506075985530455", "semantic_fingerprint": "sha256:0070ecbcaeb5911de67d490a87784b47149cf8dfd71b69cc05bd68f09829ebf7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003678", "prompt": "Solve for x: 7x = 9(x + 5) - 75", "solution_steps": ["Expand: 7x = 9x + 45 - 75", "Combine constants: 7x = 9x - 30", "Subtract 9x from both sides: -2x = -30", "Divide both sides by -2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 9(x + 5) - 75", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 5, \"e\": -75, \"x\": 15}", "seed": "15630358252995711367", "semantic_fingerprint": "sha256:12323a8f713e11b4799168b9a10ea72167844c2655ca65b4403dde02d7a7b59c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003679", "prompt": "Calculate: -23 + (-7) / (-6 - 1) + 9 * 624", "solution_steps": ["Subtract: -6 - 1 = -7", "Divide: -7 / (-7) = 1", "Add: -23 + 1 = -22", "Multiply: 9 * 624 = 5616", "Add: -22 + 5616 = 5594"], "final_answer": "5594", "answer_type": "integer", "kind": "expression", "math_text": "-23 + (-7) / (-6 - 1) + 9 * 624", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -7, \"c\": -6, \"d\": 1, \"e\": 9, \"f\": 624}", "seed": "5402327072704443337", "semantic_fingerprint": "sha256:96252eb5194e0230d041ce3b35053c5aa303a91b3223f9b67ac57230a440d998", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003680", "prompt": "Evaluate: 97 * (-6 / (86 * (18 + (-3))))", "solution_steps": ["Add: 18 + (-3) = 15", "Multiply: 86 * 15 = 1290", "Divide: -6 / 1290 = -1/215", "Multiply: 97 * (-1/215) = -97/215"], "final_answer": "-97/215", "answer_type": "rational", "kind": "expression", "math_text": "97 * (-6 / (86 * (18 + (-3))))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -6, \"c\": 86, \"d\": 18, \"e\": -3}", "seed": "7798537758540715093", "semantic_fingerprint": "sha256:035cea0e2b501fdeddf5d25eeb9a4e54040db8f7f9f2a6dfb99f2b0f6c8620ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003681", "prompt": "What is 0 * (-99) - (-9 - 7 / 73)?", "solution_steps": ["Multiply: 0 * (-99) = 0", "Divide: 7 / 73 = 7/73", "Subtract: -9 - 7/73 = -664/73", "Subtract: 0 - (-664/73) = 664/73"], "final_answer": "664/73", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-99) - (-9 - 7 / 73)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -99, \"c\": -9, \"d\": 7, \"e\": 73}", "seed": "3764659140222670914", "semantic_fingerprint": "sha256:5bff8f822f55c15edc8ea918cfacfe6150a9473b2e5f218868defca17433f0b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003682", "prompt": "What is -671 - 941 - 51 * (82 + (-92))?", "solution_steps": ["Subtract: -671 - 941 = -1612", "Add: 82 + (-92) = -10", "Multiply: 51 * (-10) = -510", "Subtract: -1612 - (-510) = -1102"], "final_answer": "-1102", "answer_type": "integer", "kind": "expression", "math_text": "-671 - 941 - 51 * (82 + (-92))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -671, \"b\": 941, \"c\": 51, \"d\": 82, \"e\": -92}", "seed": "6986817486270176230", "semantic_fingerprint": "sha256:e3196a3ec825da16acdbf7b1a58fe4cf499810c41d4c52e220bf3e95a44e17f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003683", "prompt": "What value of x satisfies 5x - 476 = 3x - 478?", "solution_steps": ["Subtract 3x from both sides: 2x - 476 = -478", "Add 476 to both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 476 = 3x - 478", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 476, \"c\": 3, \"e\": -478, \"x\": -1}", "seed": "15604467801993768813", "semantic_fingerprint": "sha256:6b2689283b1b65b3429e619b694d9b29bfd06f9a297c1bfcf41f5a4700313c8f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003684", "prompt": "What is (30 / 1 - 22) * (-3)?", "solution_steps": ["Divide: 30 / 1 = 30", "Subtract: 30 - 22 = 8", "Multiply: 8 * (-3) = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "(30 / 1 - 22) * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 1, \"c\": 22, \"d\": -3}", "seed": "17563089561155282601", "semantic_fingerprint": "sha256:ec546cfa625ec6c47dedf43e4c884147836433afef9cdb6dd27cc9f81932c395", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003685", "prompt": "Find x: -5x - 531 = 3(x - 193)", "solution_steps": ["Expand: -5x - 531 = 3x - 579", "Subtract 3x from both sides: -8x - 531 = -579", "Add 531 to both sides: -8x = -48", "Divide both sides by -8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 531 = 3(x - 193)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 193, \"e\": -531, \"x\": 6}", "seed": "98992508088441197", "semantic_fingerprint": "sha256:b8e84f20aef48d7849f68ea625ee63561eb3b5e9942ebc8829827aa260cfc3c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003686", "prompt": "What value of x satisfies 2x - 620 = 7(x - 85)?", "solution_steps": ["Expand: 2x - 620 = 7x - 595", "Subtract 7x from both sides: -5x - 620 = -595", "Add 620 to both sides: -5x = 25", "Divide both sides by -5: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 620 = 7(x - 85)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 85, \"e\": -620, \"x\": -5}", "seed": "6292704994506620510", "semantic_fingerprint": "sha256:42581f32ccb712e978e45b8621e1e66e08a667108d3adc3afee3de6400a45b7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003687", "prompt": "Solve for x: -9x = -2(x + 69) + 166", "solution_steps": ["Expand: -9x = -2x - 138 + 166", "Combine constants: -9x = -2x + 28", "Add 2x to both sides: -7x = 28", "Divide both sides by -7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -2(x + 69) + 166", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": 69, \"e\": 166, \"x\": -4}", "seed": "2221846977412030308", "semantic_fingerprint": "sha256:d26ccf6bd1d978d1dca629e7b733407d33f249186145ee3a6e6b74a4c79e1778", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003688", "prompt": "What is 22 * (-10 * 10) + 51?", "solution_steps": ["Multiply: -10 * 10 = -100", "Multiply: 22 * (-100) = -2200", "Add: -2200 + 51 = -2149"], "final_answer": "-2149", "answer_type": "integer", "kind": "expression", "math_text": "22 * (-10 * 10) + 51", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -10, \"c\": 10, \"d\": 51}", "seed": "16210928361550448877", "semantic_fingerprint": "sha256:d3cbb35b525ee0ac1cc259e282c0d7f61ed77573fa51691760655093cd027cab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003689", "prompt": "Compute: (77 - (-5) / 6) / (-3 * (8 * (-10)))", "solution_steps": ["Divide: -5 / 6 = -5/6", "Subtract: 77 - (-5/6) = 467/6", "Multiply: 8 * (-10) = -80", "Multiply: -3 * (-80) = 240", "Divide: (467/6) / 240 = 467/1440"], "final_answer": "467/1440", "answer_type": "rational", "kind": "expression", "math_text": "(77 - (-5) / 6) / (-3 * (8 * (-10)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (/ n n)) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -5, \"c\": 6, \"d\": -3, \"e\": 8, \"f\": -10}", "seed": "13016642320328836937", "semantic_fingerprint": "sha256:8350909097e58edce7b73b16dbe35108a6cf1346b4c9d025f90938d34da98cc9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003690", "prompt": "What value of x satisfies -5x - 791 = 6x - 659?", "solution_steps": ["Subtract 6x from both sides: -11x - 791 = -659", "Add 791 to both sides: -11x = 132", "Divide both sides by -11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 791 = 6x - 659", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 791, \"c\": 6, \"e\": -659, \"x\": -12}", "seed": "6749476291550350462", "semantic_fingerprint": "sha256:04c19572c20728a6e784abd119d85322b442a6560f1c149a7fd032fe7bdae457", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003691", "prompt": "What is 43 / (-2) / (-3) - 230?", "solution_steps": ["Divide: 43 / (-2) = -43/2", "Divide: (-43/2) / (-3) = 43/6", "Subtract: 43/6 - 230 = -1337/6"], "final_answer": "-1337/6", "answer_type": "rational", "kind": "expression", "math_text": "43 / (-2) / (-3) - 230", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -2, \"c\": -3, \"d\": 230}", "seed": "16399151210349359904", "semantic_fingerprint": "sha256:61d1c556acb0b68d2a91778a9e4885ea1ce917ae437ce53bfe54ce317ee85233", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003692", "prompt": "Compute: 54 / 1 * (-850 / (-620))", "solution_steps": ["Divide: 54 / 1 = 54", "Divide: -850 / (-620) = 85/62", "Multiply: 54 * (85/62) = 2295/31"], "final_answer": "2295/31", "answer_type": "rational", "kind": "expression", "math_text": "54 / 1 * (-850 / (-620))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 1, \"c\": -850, \"d\": -620}", "seed": "7866545743427030883", "semantic_fingerprint": "sha256:5bba088d00856391366632cee6637e877c7c740f3803de06310e55a60475fc97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003693", "prompt": "What is (39 - (-575 + (-158))) * (0 + 4)?", "solution_steps": ["Add: -575 + (-158) = -733", "Subtract: 39 - (-733) = 772", "Add: 0 + 4 = 4", "Multiply: 772 * 4 = 3088"], "final_answer": "3088", "answer_type": "integer", "kind": "expression", "math_text": "(39 - (-575 + (-158))) * (0 + 4)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -575, \"c\": -158, \"d\": 0, \"e\": 4}", "seed": "16136800335552503286", "semantic_fingerprint": "sha256:49404571d10ddc7c3fe8ef4d9e1e67943521a0042a313d655f3560b14330e568", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003694", "prompt": "What is -9 / (2 - (-6)) - (59 - (-390))?", "solution_steps": ["Subtract: 2 - (-6) = 8", "Divide: -9 / 8 = -9/8", "Subtract: 59 - (-390) = 449", "Subtract: -9/8 - 449 = -3601/8"], "final_answer": "-3601/8", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (2 - (-6)) - (59 - (-390))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": -6, \"d\": 59, \"e\": -390}", "seed": "13924340197494929567", "semantic_fingerprint": "sha256:eb8b523cadda5bc6ef2c30907aa05314cb186c7308d93212bc2bc805cf046fd4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003695", "prompt": "What value of x satisfies 6(x + 5) - 3 = x + 102?", "solution_steps": ["Expand: 6x + 30 - 3 = x + 102", "Combine constants: 6x + 27 = x + 102", "Subtract x from both sides: 5x + 27 = 102", "Subtract 27 from both sides: 5x = 75", "Divide both sides by 5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) - 3 = x + 102", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 3, \"e\": 102, \"x\": 15}", "seed": "13068708116775306730", "semantic_fingerprint": "sha256:b4e0fc3718f95beade11c9b585f9dc123c5e9804a047db5e1f89bcc437002dc7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003696", "prompt": "Evaluate: -8 + (-3 - (-5) + 7) + (-38) + (-8)", "solution_steps": ["Subtract: -3 - (-5) = 2", "Add: 2 + 7 = 9", "Add: -8 + 9 = 1", "Add: 1 + (-38) = -37", "Add: -37 + (-8) = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-3 - (-5) + 7) + (-38) + (-8)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n (+ (- n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -3, \"c\": -5, \"d\": 7, \"e\": -38, \"f\": -8}", "seed": "2322591126239224878", "semantic_fingerprint": "sha256:69a0a808c3dcafd7ef6d10792486971a2e44b152eb831a898766114912232f61", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003697", "prompt": "What is 43 * 80 * (79 / 52)?", "solution_steps": ["Multiply: 43 * 80 = 3440", "Divide: 79 / 52 = 79/52", "Multiply: 3440 * (79/52) = 67940/13"], "final_answer": "67940/13", "answer_type": "rational", "kind": "expression", "math_text": "43 * 80 * (79 / 52)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 80, \"c\": 79, \"d\": 52}", "seed": "6186807887550899544", "semantic_fingerprint": "sha256:a1e9a12d5241452164ecc64d9c018f4591986f946ca388eab5490ccdb4cdfd6e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003698", "prompt": "Evaluate: 0 * 6 / (5 + (-15)) - 57", "solution_steps": ["Multiply: 0 * 6 = 0", "Add: 5 + (-15) = -10", "Divide: 0 / (-10) = 0", "Subtract: 0 - 57 = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "0 * 6 / (5 + (-15)) - 57", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": 5, \"d\": -15, \"e\": 57}", "seed": "10500578848217542722", "semantic_fingerprint": "sha256:8e4bdcdf0dadd1ef1f064510779d758d47f97e93afb6d115c506c19c9f3d1c68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003699", "prompt": "What is -60 / 5 * (-694) / (-22 - (-52 - 66))?", "solution_steps": ["Divide: -60 / 5 = -12", "Multiply: -12 * (-694) = 8328", "Subtract: -52 - 66 = -118", "Subtract: -22 - (-118) = 96", "Divide: 8328 / 96 = 347/4"], "final_answer": "347/4", "answer_type": "rational", "kind": "expression", "math_text": "-60 / 5 * (-694) / (-22 - (-52 - 66))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 5, \"c\": -694, \"d\": -22, \"e\": -52, \"f\": 66}", "seed": "4920071419342571071", "semantic_fingerprint": "sha256:785e846cb0bc95b491445ff6da1bf2716e4eb7c02667dd8372e66028eea26f69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003700", "prompt": "Compute: -19 / (-42) - (-4 + 62 / 74)", "solution_steps": ["Divide: -19 / (-42) = 19/42", "Divide: 62 / 74 = 31/37", "Add: -4 + 31/37 = -117/37", "Subtract: 19/42 - (-117/37) = 5617/1554"], "final_answer": "5617/1554", "answer_type": "rational", "kind": "expression", "math_text": "-19 / (-42) - (-4 + 62 / 74)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -42, \"c\": -4, \"d\": 62, \"e\": 74}", "seed": "17649939150399682660", "semantic_fingerprint": "sha256:ab0764e6c9ef9f9f662149d3acacc840c7ac824baf77886353d2f7f65b47b577", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003701", "prompt": "Compute: -95 * (-1 * (-74 + 7)) - (-50)", "solution_steps": ["Add: -74 + 7 = -67", "Multiply: -1 * (-67) = 67", "Multiply: -95 * 67 = -6365", "Subtract: -6365 - (-50) = -6315"], "final_answer": "-6315", "answer_type": "integer", "kind": "expression", "math_text": "-95 * (-1 * (-74 + 7)) - (-50)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -1, \"c\": -74, \"d\": 7, \"e\": -50}", "seed": "17033558153869138643", "semantic_fingerprint": "sha256:dc03586790206d3c4b743b6c1c7d47258f47f9098d3bdd9f643edc4dd59cada1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003702", "prompt": "Compute: -24 - (-2) - 20 - (-9) / 1", "solution_steps": ["Subtract: -24 - (-2) = -22", "Subtract: -22 - 20 = -42", "Divide: -9 / 1 = -9", "Subtract: -42 - (-9) = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "expression", "math_text": "-24 - (-2) - 20 - (-9) / 1", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -2, \"c\": 20, \"d\": -9, \"e\": 1}", "seed": "8968567226867868671", "semantic_fingerprint": "sha256:873e9d9dd7bc3e3e045bed744e3c34c30f4c43411b0a9db76c2d947a84e6db4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003703", "prompt": "What is (8 - (-2) - 2) * 9?", "solution_steps": ["Subtract: 8 - (-2) = 10", "Subtract: 10 - 2 = 8", "Multiply: 8 * 9 = 72"], "final_answer": "72", "answer_type": "integer", "kind": "expression", "math_text": "(8 - (-2) - 2) * 9", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": 2, \"d\": 9}", "seed": "6545417704756375600", "semantic_fingerprint": "sha256:c8fbdcd77f15dd8717a961ffd6ca84ca30b97a3dcab0a854496bc0bb42abaa4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003704", "prompt": "Evaluate: 76 * (-352) + 560 * 2", "solution_steps": ["Multiply: 76 * (-352) = -26752", "Multiply: 560 * 2 = 1120", "Add: -26752 + 1120 = -25632"], "final_answer": "-25632", "answer_type": "integer", "kind": "expression", "math_text": "76 * (-352) + 560 * 2", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -352, \"c\": 560, \"d\": 2}", "seed": "9372535500829466756", "semantic_fingerprint": "sha256:250dd0cfe81adfe439d5d835eae8971b9929ad4ee60b13322a33eeda91ef6ab2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003705", "prompt": "Compute: -695 / (-1 / 2) * (-43 - (-3))", "solution_steps": ["Divide: -1 / 2 = -1/2", "Divide: -695 / (-1/2) = 1390", "Subtract: -43 - (-3) = -40", "Multiply: 1390 * (-40) = -55600"], "final_answer": "-55600", "answer_type": "integer", "kind": "expression", "math_text": "-695 / (-1 / 2) * (-43 - (-3))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -695, \"b\": -1, \"c\": 2, \"d\": -43, \"e\": -3}", "seed": "18423199047120312066", "semantic_fingerprint": "sha256:f993ed357a58f5583361499e6b292a86fcfb8024cf4fe2ebef0dbcbd802eeefb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003706", "prompt": "Find x: 12x = -3(x + 6) - 222", "solution_steps": ["Expand: 12x = -3x - 18 - 222", "Combine constants: 12x = -3x - 240", "Add 3x to both sides: 15x = -240", "Divide both sides by 15: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -3(x + 6) - 222", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -3, \"c\": 6, \"e\": -222, \"x\": -16}", "seed": "6088223131697122569", "semantic_fingerprint": "sha256:00c9fb11888bf80e39acca9f27c756cf33352a8f463d58103acc591efb6c7024", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003707", "prompt": "Calculate: -9 * (-25) + 148 + 67 / (-3)", "solution_steps": ["Multiply: -9 * (-25) = 225", "Add: 225 + 148 = 373", "Divide: 67 / (-3) = -67/3", "Add: 373 + (-67/3) = 1052/3"], "final_answer": "1052/3", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-25) + 148 + 67 / (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -25, \"c\": 148, \"d\": 67, \"e\": -3}", "seed": "4529507643780627087", "semantic_fingerprint": "sha256:7a292d8a1bb56ae587f79ec8452e3d0b2ef54b465850f3a4bd14a56b6afed896", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003708", "prompt": "What value of x satisfies 6x = 2(x + 35) - 35?", "solution_steps": ["Expand: 6x = 2x + 70 - 35", "Combine constants: 6x = 2x + 35", "Subtract 2x from both sides: 4x = 35", "Divide both sides by 4: x = 35/4"], "final_answer": "35/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 2(x + 35) - 35", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 35, \"d\": 35}", "seed": "13361784835657821311", "semantic_fingerprint": "sha256:680311c48300287bdd8df2cb62be61f8b0620506b55f69b0247f1d7577fadd5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003709", "prompt": "Find x: 11x = 6(x + 898) + 991", "solution_steps": ["Expand: 11x = 6x + 5388 + 991", "Combine constants: 11x = 6x + 6379", "Subtract 6x from both sides: 5x = 6379", "Divide both sides by 5: x = 6379/5"], "final_answer": "6379/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = 6(x + 898) + 991", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 898, \"d\": 991}", "seed": "15822796943723065077", "semantic_fingerprint": "sha256:81b9da43be2ce3e74fd32152dd564cac34b9f18997fd388de56546f14df21012", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003710", "prompt": "Solve for x: -2x - 358 = 4(x - 79)", "solution_steps": ["Expand: -2x - 358 = 4x - 316", "Subtract 4x from both sides: -6x - 358 = -316", "Add 358 to both sides: -6x = 42", "Divide both sides by -6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 358 = 4(x - 79)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 79, \"e\": -358, \"x\": -7}", "seed": "1518527901264057813", "semantic_fingerprint": "sha256:d1fb8e87965acf548746b3d7bba76b2f2f66ee00f219da930a443464450dd4cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003711", "prompt": "Compute: 50 * 9 + (-531 - 0)", "solution_steps": ["Multiply: 50 * 9 = 450", "Subtract: -531 - 0 = -531", "Add: 450 + (-531) = -81"], "final_answer": "-81", "answer_type": "integer", "kind": "expression", "math_text": "50 * 9 + (-531 - 0)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 9, \"c\": -531, \"d\": 0}", "seed": "9766361871104786322", "semantic_fingerprint": "sha256:819369543ec9e9553769a2358602ca6ba803a980a6c71f92fed3da359ff46c0a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003712", "prompt": "What is -8 + (-822 - (-44)) + 6?", "solution_steps": ["Subtract: -822 - (-44) = -778", "Add: -8 + (-778) = -786", "Add: -786 + 6 = -780"], "final_answer": "-780", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-822 - (-44)) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -822, \"c\": -44, \"d\": 6}", "seed": "6592468028652884389", "semantic_fingerprint": "sha256:02989f0a5ef762cb6034aac52e36e71b7e3f16e0a7a1d5259ae46e73aa4ebefc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003713", "prompt": "What is 1 * (-1) + (-6 - 482)?", "solution_steps": ["Multiply: 1 * (-1) = -1", "Subtract: -6 - 482 = -488", "Add: -1 + (-488) = -489"], "final_answer": "-489", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-1) + (-6 - 482)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -1, \"c\": -6, \"d\": 482}", "seed": "7923475557005717685", "semantic_fingerprint": "sha256:c02b0de972909ea40756716718e86f5ee2e24ec0fa7b0dc91d9c7d4fdcdefda4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003714", "prompt": "Evaluate: 99 * (-8) / (395 / 2) - (-27 - (-66))", "solution_steps": ["Multiply: 99 * (-8) = -792", "Divide: 395 / 2 = 395/2", "Divide: -792 / (395/2) = -1584/395", "Subtract: -27 - (-66) = 39", "Subtract: -1584/395 - 39 = -16989/395"], "final_answer": "-16989/395", "answer_type": "rational", "kind": "expression", "math_text": "99 * (-8) / (395 / 2) - (-27 - (-66))", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -8, \"c\": 395, \"d\": 2, \"e\": -27, \"f\": -66}", "seed": "348545534892960992", "semantic_fingerprint": "sha256:0f0aff39bc55592dea196d59675a724838f63681ba41aca654be48dd273b3871", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003715", "prompt": "Compute: -117 * (-5 - (-170) * 7) + 74", "solution_steps": ["Multiply: -170 * 7 = -1190", "Subtract: -5 - (-1190) = 1185", "Multiply: -117 * 1185 = -138645", "Add: -138645 + 74 = -138571"], "final_answer": "-138571", "answer_type": "integer", "kind": "expression", "math_text": "-117 * (-5 - (-170) * 7) + 74", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -117, \"b\": -5, \"c\": -170, \"d\": 7, \"e\": 74}", "seed": "12554646323822250575", "semantic_fingerprint": "sha256:3445d3fb02c68c9d51248f2bd08925a86b76a132789d50ff81fa6bfb8ceda44c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003716", "prompt": "What is (288 + (-4)) * (1 - (-17 - (-2)))?", "solution_steps": ["Add: 288 + (-4) = 284", "Subtract: -17 - (-2) = -15", "Subtract: 1 - (-15) = 16", "Multiply: 284 * 16 = 4544"], "final_answer": "4544", "answer_type": "integer", "kind": "expression", "math_text": "(288 + (-4)) * (1 - (-17 - (-2)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 288, \"b\": -4, \"c\": 1, \"d\": -17, \"e\": -2}", "seed": "12337211352930139393", "semantic_fingerprint": "sha256:7b828c95870c2607cf8844bf3b628c278de67957db106c0b76dfdb25623270ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003717", "prompt": "Solve the equation -8(x + 8) + 88 = x + 78 for x.", "solution_steps": ["Expand: -8x - 64 + 88 = x + 78", "Combine constants: -8x + 24 = x + 78", "Subtract x from both sides: -9x + 24 = 78", "Subtract 24 from both sides: -9x = 54", "Divide both sides by -9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 8) + 88 = x + 78", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"c\": 88, \"e\": 78, \"x\": -6}", "seed": "18088629791953669053", "semantic_fingerprint": "sha256:f38b18c185c3155d22bce64658d0f85c20921c614b44fafc365753641c65e743", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003718", "prompt": "Find x: 8(x - 121) + 932 = 3(x + 8)", "solution_steps": ["Expand: 8x - 968 + 932 = 3(x + 8)", "Expand: 8x - 968 + 932 = 3x + 24", "Combine constants: 8x - 36 = 3x + 24", "Subtract 3x from both sides: 5x - 36 = 24", "Add 36 to both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 121) + 932 = 3(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 121, \"c\": 3, \"d\": 8, \"f\": 932, \"x\": 12}", "seed": "12084637789790974777", "semantic_fingerprint": "sha256:f321fe920d1da01d77bbbbe8b0350b1ca998ea324fe98da153f19352d9bf88d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003719", "prompt": "Calculate: (-23 + (-9 - 6)) * (-9 / (-35 * 414))", "solution_steps": ["Subtract: -9 - 6 = -15", "Add: -23 + (-15) = -38", "Multiply: -35 * 414 = -14490", "Divide: -9 / (-14490) = 1/1610", "Multiply: -38 * (1/1610) = -19/805"], "final_answer": "-19/805", "answer_type": "rational", "kind": "expression", "math_text": "(-23 + (-9 - 6)) * (-9 / (-35 * 414))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- n n)) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -9, \"c\": 6, \"d\": -9, \"e\": -35, \"f\": 414}", "seed": "14033167485633184929", "semantic_fingerprint": "sha256:8df30022de886f8ec08ce70800b630df6ff07cd35338b8ba02606ac86c53ef78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003720", "prompt": "Compute: 90 + (52 - 20) + 19", "solution_steps": ["Subtract: 52 - 20 = 32", "Add: 90 + 32 = 122", "Add: 122 + 19 = 141"], "final_answer": "141", "answer_type": "integer", "kind": "expression", "math_text": "90 + (52 - 20) + 19", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 52, \"c\": 20, \"d\": 19}", "seed": "16265055435395331604", "semantic_fingerprint": "sha256:2039991aeefd6dafe12c754548a1b42703764be94e7fb5ed4b05e90af19db55e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003721", "prompt": "Evaluate: -7 - (7 + (-639)) / (-98)", "solution_steps": ["Add: 7 + (-639) = -632", "Divide: -632 / (-98) = 316/49", "Subtract: -7 - 316/49 = -659/49"], "final_answer": "-659/49", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (7 + (-639)) / (-98)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": -639, \"d\": -98}", "seed": "16154552382634188499", "semantic_fingerprint": "sha256:5c948f553f8378f89fdf142b9843a3dfd9a81cea08d834bb837c80f16eefa956", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003722", "prompt": "What is -486 * 0 / (-74) - (8 + (-46)) * 2?", "solution_steps": ["Multiply: -486 * 0 = 0", "Divide: 0 / (-74) = 0", "Add: 8 + (-46) = -38", "Multiply: -38 * 2 = -76", "Subtract: 0 - (-76) = 76"], "final_answer": "76", "answer_type": "integer", "kind": "expression", "math_text": "-486 * 0 / (-74) - (8 + (-46)) * 2", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -486, \"b\": 0, \"c\": -74, \"d\": 8, \"e\": -46, \"f\": 2}", "seed": "14577280178258333048", "semantic_fingerprint": "sha256:eba5b6b58c778ce645b0c5f4a2c0e6d0045c3755d5b70b38939f3954cc2fe72d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003723", "prompt": "Solve for x: -6(x + 6) - 5 = x + 64", "solution_steps": ["Expand: -6x - 36 - 5 = x + 64", "Combine constants: -6x - 41 = x + 64", "Subtract x from both sides: -7x - 41 = 64", "Add 41 to both sides: -7x = 105", "Divide both sides by -7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 6) - 5 = x + 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 5, \"e\": 64, \"x\": -15}", "seed": "18191767133155157548", "semantic_fingerprint": "sha256:f215fba1b376e86fefa9d19e549f5a6d1647dcf66ee76686c7e2132ccbb02212", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003724", "prompt": "Find x: -10(x + 695) = 9(x - 94) + 70", "solution_steps": ["Expand: -10x - 6950 = 9(x - 94) + 70", "Expand: -10x - 6950 = 9x - 846 + 70", "Combine constants: -10x - 6950 = 9x - 776", "Subtract 9x from both sides: -19x - 6950 = -776", "Add 6950 to both sides: -19x = 6174", "Divide both sides by -19: x = -6174/19"], "final_answer": "-6174/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 695) = 9(x - 94) + 70", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 695, \"c\": 9, \"d\": 94, \"e\": 70}", "seed": "1329751553561737430", "semantic_fingerprint": "sha256:3a78f7043cc481335ee39c06ae16d1eda6ff9a45c3e47321c73b81f2a8cac39e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003725", "prompt": "Evaluate: (0 - 7 - 670) * (-21)", "solution_steps": ["Subtract: 0 - 7 = -7", "Subtract: -7 - 670 = -677", "Multiply: -677 * (-21) = 14217"], "final_answer": "14217", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 7 - 670) * (-21)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": 670, \"d\": -21}", "seed": "4287652031487140197", "semantic_fingerprint": "sha256:172ee3e1456f247834cd31404e7d5df223b93d2e2bcd2a894e76a2444f873e67", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003726", "prompt": "Evaluate: -9 * (-74 - (-7) * (-91)) + 4", "solution_steps": ["Multiply: -7 * (-91) = 637", "Subtract: -74 - 637 = -711", "Multiply: -9 * (-711) = 6399", "Add: 6399 + 4 = 6403"], "final_answer": "6403", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-74 - (-7) * (-91)) + 4", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -74, \"c\": -7, \"d\": -91, \"e\": 4}", "seed": "14340643893342351515", "semantic_fingerprint": "sha256:a8f89537fe1f48665c429afba3b73f6fdd94c639670399ffe8ff95e5440d26c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003727", "prompt": "What value of x satisfies -9(x - 14) + 258 = 4(x + 83)?", "solution_steps": ["Expand: -9x + 126 + 258 = 4(x + 83)", "Expand: -9x + 126 + 258 = 4x + 332", "Combine constants: -9x + 384 = 4x + 332", "Subtract 4x from both sides: -13x + 384 = 332", "Subtract 384 from both sides: -13x = -52", "Divide both sides by -13: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 14) + 258 = 4(x + 83)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 14, \"c\": 4, \"d\": 83, \"f\": 258, \"x\": 4}", "seed": "8983771651817731855", "semantic_fingerprint": "sha256:77bad35adeb78d727bb365246655d9dea4e04f4acd12f76191c131595c118ace", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003728", "prompt": "Evaluate: (-4 + (-55)) / (1 + 65)", "solution_steps": ["Add: -4 + (-55) = -59", "Add: 1 + 65 = 66", "Divide: -59 / 66 = -59/66"], "final_answer": "-59/66", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + (-55)) / (1 + 65)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -55, \"c\": 1, \"d\": 65}", "seed": "13268971997743321105", "semantic_fingerprint": "sha256:7a2781919d35135682b57fcb9d79e1cc0b7d6057727c305becfb42cf4400d4b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003729", "prompt": "Calculate: 6 - (-98 + (278 + (-8) * (-52)))", "solution_steps": ["Multiply: -8 * (-52) = 416", "Add: 278 + 416 = 694", "Add: -98 + 694 = 596", "Subtract: 6 - 596 = -590"], "final_answer": "-590", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-98 + (278 + (-8) * (-52)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -98, \"c\": 278, \"d\": -8, \"e\": -52}", "seed": "2613051204766534227", "semantic_fingerprint": "sha256:901f0e2cad6ec32aab44fb5fc263385954bbc310fb2ec2ac5e3d6d623f0360c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003730", "prompt": "What value of x satisfies 12x = -10(x + 74) + 9?", "solution_steps": ["Expand: 12x = -10x - 740 + 9", "Combine constants: 12x = -10x - 731", "Add 10x to both sides: 22x = -731", "Divide both sides by 22: x = -731/22"], "final_answer": "-731/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = -10(x + 74) + 9", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -10, \"c\": 74, \"d\": 9}", "seed": "18299540719208073192", "semantic_fingerprint": "sha256:eaf7a7e86be78fc5346cc56821106eb3b4472ae6a6795a0efb2c0c23668f6b0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003731", "prompt": "Evaluate: (40 + (-74) / (-695) * 76) / 20", "solution_steps": ["Divide: -74 / (-695) = 74/695", "Multiply: (74/695) * 76 = 5624/695", "Add: 40 + 5624/695 = 33424/695", "Divide: (33424/695) / 20 = 8356/3475"], "final_answer": "8356/3475", "answer_type": "rational", "kind": "expression", "math_text": "(40 + (-74) / (-695) * 76) / 20", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -74, \"c\": -695, \"d\": 76, \"e\": 20}", "seed": "2895058176630548616", "semantic_fingerprint": "sha256:c93e7965faa17a55ebe54b7de8460be9eab014b06c5371f16ad114ad5c40fded", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003732", "prompt": "What is -31 * (-42) + (55 - 1 * 1)?", "solution_steps": ["Multiply: -31 * (-42) = 1302", "Multiply: 1 * 1 = 1", "Subtract: 55 - 1 = 54", "Add: 1302 + 54 = 1356"], "final_answer": "1356", "answer_type": "integer", "kind": "expression", "math_text": "-31 * (-42) + (55 - 1 * 1)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": -42, \"c\": 55, \"d\": 1, \"e\": 1}", "seed": "3563983947786725630", "semantic_fingerprint": "sha256:3de9d19b8686537026e8f03e3f0593fa954f6cfb00a5bf1d2aa31b94091f4645", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003733", "prompt": "Solve the equation 2x = 12(x + 6) - 42 for x.", "solution_steps": ["Expand: 2x = 12x + 72 - 42", "Combine constants: 2x = 12x + 30", "Subtract 12x from both sides: -10x = 30", "Divide both sides by -10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 12(x + 6) - 42", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 6, \"e\": -42, \"x\": -3}", "seed": "5029177293706056148", "semantic_fingerprint": "sha256:97761db8d750445aaafd45d1c14eb96b69962ac7b99758ebe348b45278ae0cc8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003734", "prompt": "Compute: 23 - (55 - (-2) + 29) - 0", "solution_steps": ["Subtract: 55 - (-2) = 57", "Add: 57 + 29 = 86", "Subtract: 23 - 86 = -63", "Subtract: -63 - 0 = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "23 - (55 - (-2) + 29) - 0", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 55, \"c\": -2, \"d\": 29, \"e\": 0}", "seed": "15117281693513595255", "semantic_fingerprint": "sha256:a29b4b4fe08d55f71c7b4b06b14414755bd9428f2fb5fe4aeeae1d96147e901b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003735", "prompt": "Find x: 12x - 294 = 9x - 56", "solution_steps": ["Subtract 9x from both sides: 3x - 294 = -56", "Add 294 to both sides: 3x = 238", "Divide both sides by 3: x = 238/3"], "final_answer": "238/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 294 = 9x - 56", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 294, \"c\": 9, \"d\": 56}", "seed": "10541260533372935248", "semantic_fingerprint": "sha256:c7b53d9a6495d6bc133c02d48612a20b181f68458fe653013a5eba329787b442", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003736", "prompt": "Find x: -7(x - 48) - 7 = x + 233", "solution_steps": ["Expand: -7x + 336 - 7 = x + 233", "Combine constants: -7x + 329 = x + 233", "Subtract x from both sides: -8x + 329 = 233", "Subtract 329 from both sides: -8x = -96", "Divide both sides by -8: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 48) - 7 = x + 233", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 48, \"c\": 7, \"e\": 233, \"x\": 12}", "seed": "15873428263413702260", "semantic_fingerprint": "sha256:760d0da04ec9285b1def81f54e57b36b40cfad4a53b5fe38a3fe00f9497476f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003737", "prompt": "Calculate: -588 / (-339) * (4 / 5)", "solution_steps": ["Divide: -588 / (-339) = 196/113", "Divide: 4 / 5 = 4/5", "Multiply: (196/113) * (4/5) = 784/565"], "final_answer": "784/565", "answer_type": "rational", "kind": "expression", "math_text": "-588 / (-339) * (4 / 5)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -588, \"b\": -339, \"c\": 4, \"d\": 5}", "seed": "10014890215854039322", "semantic_fingerprint": "sha256:d608a77b475469c34a4e3ee8eb6e3981f90572f9606c8fd7a997e67d76b7dfeb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003738", "prompt": "Compute: 4 / (-47) * (-835 - 556 - (-72))", "solution_steps": ["Divide: 4 / (-47) = -4/47", "Subtract: -835 - 556 = -1391", "Subtract: -1391 - (-72) = -1319", "Multiply: (-4/47) * (-1319) = 5276/47"], "final_answer": "5276/47", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-47) * (-835 - 556 - (-72))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -47, \"c\": -835, \"d\": 556, \"e\": -72}", "seed": "14221203116231546772", "semantic_fingerprint": "sha256:823d328caa0fe0c35f03dbfeacc0ed2932d40176b19567c001beeaca34b87df7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003739", "prompt": "Solve the equation 3(x + 20) = 11(x - 8) + 84 for x.", "solution_steps": ["Expand: 3x + 60 = 11(x - 8) + 84", "Expand: 3x + 60 = 11x - 88 + 84", "Combine constants: 3x + 60 = 11x - 4", "Subtract 11x from both sides: -8x + 60 = -4", "Subtract 60 from both sides: -8x = -64", "Divide both sides by -8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 20) = 11(x - 8) + 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 20, \"c\": 11, \"d\": 8, \"f\": 84, \"x\": 8}", "seed": "3151314384185937424", "semantic_fingerprint": "sha256:64d9f1c2ce773e27a0aeb5b640d14c6b24ab1119fb7f2a20686f4c403d7abe65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003740", "prompt": "Compute: 2 / ((61 + 715) / 983) - (31 + 0)", "solution_steps": ["Add: 61 + 715 = 776", "Divide: 776 / 983 = 776/983", "Divide: 2 / (776/983) = 983/388", "Add: 31 + 0 = 31", "Subtract: 983/388 - 31 = -11045/388"], "final_answer": "-11045/388", "answer_type": "rational", "kind": "expression", "math_text": "2 / ((61 + 715) / 983) - (31 + 0)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ (+ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 61, \"c\": 715, \"d\": 983, \"e\": 31, \"f\": 0}", "seed": "16621457282036432259", "semantic_fingerprint": "sha256:7b13aa31e1048384ace6615e3262b8eaee9d43834c8f23f07b7266d3dbf61574", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003741", "prompt": "Compute: -81 - (-969) * (7 / 1)", "solution_steps": ["Divide: 7 / 1 = 7", "Multiply: -969 * 7 = -6783", "Subtract: -81 - (-6783) = 6702"], "final_answer": "6702", "answer_type": "integer", "kind": "expression", "math_text": "-81 - (-969) * (7 / 1)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -969, \"c\": 7, \"d\": 1}", "seed": "12839152098825296737", "semantic_fingerprint": "sha256:08f2a15ed204c4589a9f6fc37c73982fe99b40e4a62043f8823d7585b535fa98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003742", "prompt": "Solve the equation 5(x + 991) = 11(x - 56) + 4 for x.", "solution_steps": ["Expand: 5x + 4955 = 11(x - 56) + 4", "Expand: 5x + 4955 = 11x - 616 + 4", "Combine constants: 5x + 4955 = 11x - 612", "Subtract 11x from both sides: -6x + 4955 = -612", "Subtract 4955 from both sides: -6x = -5567", "Divide both sides by -6: x = 5567/6"], "final_answer": "5567/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 991) = 11(x - 56) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 991, \"c\": 11, \"d\": 56, \"e\": 4}", "seed": "9895140124899261672", "semantic_fingerprint": "sha256:52b757723db5d7db703dd37f934bc6fbe0b91291ff22ec500128e823b8cccfd6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003743", "prompt": "Calculate: 48 * (-720 / (-904 * 8 + 3))", "solution_steps": ["Multiply: -904 * 8 = -7232", "Add: -7232 + 3 = -7229", "Divide: -720 / (-7229) = 720/7229", "Multiply: 48 * (720/7229) = 34560/7229"], "final_answer": "34560/7229", "answer_type": "rational", "kind": "expression", "math_text": "48 * (-720 / (-904 * 8 + 3))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -720, \"c\": -904, \"d\": 8, \"e\": 3}", "seed": "2394019591124062049", "semantic_fingerprint": "sha256:474f28ae024688b86190533e4b57a7608b953387e7bd26b94ff0a9aa00896d4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003744", "prompt": "Evaluate: -4 / (-45 / (-25)) + 44", "solution_steps": ["Divide: -45 / (-25) = 9/5", "Divide: -4 / (9/5) = -20/9", "Add: -20/9 + 44 = 376/9"], "final_answer": "376/9", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-45 / (-25)) + 44", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -45, \"c\": -25, \"d\": 44}", "seed": "10021971527979455161", "semantic_fingerprint": "sha256:24ec255a524ed87a60900329ff78a9af560f8d086f268a762c5836580363680e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003745", "prompt": "Solve the equation 10x - 23 = 12(x - 6) for x.", "solution_steps": ["Expand: 10x - 23 = 12x - 72", "Subtract 12x from both sides: -2x - 23 = -72", "Add 23 to both sides: -2x = -49", "Divide both sides by -2: x = 49/2"], "final_answer": "49/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 23 = 12(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 23, \"c\": 12, \"d\": 6}", "seed": "9882606579710126894", "semantic_fingerprint": "sha256:6d05d7b3b9d20ad242adbf932828fa811a730ed1b96d31983d6e0f4fbac20f87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003746", "prompt": "Evaluate: 69 / (2 / (-74 - 0) / (-9))", "solution_steps": ["Subtract: -74 - 0 = -74", "Divide: 2 / (-74) = -1/37", "Divide: (-1/37) / (-9) = 1/333", "Divide: 69 / (1/333) = 22977"], "final_answer": "22977", "answer_type": "integer", "kind": "expression", "math_text": "69 / (2 / (-74 - 0) / (-9))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 2, \"c\": -74, \"d\": 0, \"e\": -9}", "seed": "7645945732726960345", "semantic_fingerprint": "sha256:faba603b3126ac848127b041256538ac8cdb9d3e9d8b2712f414577fd06c7950", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003747", "prompt": "Evaluate: 3 * (-97) * (-3 / (-18))", "solution_steps": ["Multiply: 3 * (-97) = -291", "Divide: -3 / (-18) = 1/6", "Multiply: -291 * (1/6) = -97/2"], "final_answer": "-97/2", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-97) * (-3 / (-18))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -97, \"c\": -3, \"d\": -18}", "seed": "3347715037295916779", "semantic_fingerprint": "sha256:8071328acd8478de847eff7ab3f45e513da379c09e79e4020a99b9bacc3dbba9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003748", "prompt": "Evaluate: (81 - 0 - 2) / (-9 + (9 - 98))", "solution_steps": ["Subtract: 81 - 0 = 81", "Subtract: 81 - 2 = 79", "Subtract: 9 - 98 = -89", "Add: -9 + (-89) = -98", "Divide: 79 / (-98) = -79/98"], "final_answer": "-79/98", "answer_type": "rational", "kind": "expression", "math_text": "(81 - 0 - 2) / (-9 + (9 - 98))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 0, \"c\": 2, \"d\": -9, \"e\": 9, \"f\": 98}", "seed": "9360431372739185920", "semantic_fingerprint": "sha256:998f94574172987951d41d4810bd2759e000de1e37fd1adc0eb094d9360fee62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003749", "prompt": "Solve the equation 10x = -9(x + 3) + 103 for x.", "solution_steps": ["Expand: 10x = -9x - 27 + 103", "Combine constants: 10x = -9x + 76", "Add 9x to both sides: 19x = 76", "Divide both sides by 19: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -9(x + 3) + 103", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -9, \"c\": 3, \"e\": 103, \"x\": 4}", "seed": "15366282293073505891", "semantic_fingerprint": "sha256:cd84285412858a14f37c5c52acfff7193ad6aff29c3fa4ce1fa680c2a4f36156", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003750", "prompt": "What is 7 * (-3) + 20 * 19?", "solution_steps": ["Multiply: 7 * (-3) = -21", "Multiply: 20 * 19 = 380", "Add: -21 + 380 = 359"], "final_answer": "359", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-3) + 20 * 19", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -3, \"c\": 20, \"d\": 19}", "seed": "14216296931977892304", "semantic_fingerprint": "sha256:7ce0a6face6f3f64ee9d211841319e935ff6c35f8c6f92bf7f1887e82cbcb75c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003751", "prompt": "Solve the equation 2(x + 29) + 56 = x + 121 for x.", "solution_steps": ["Expand: 2x + 58 + 56 = x + 121", "Combine constants: 2x + 114 = x + 121", "Subtract x from both sides: x + 114 = 121", "Subtract 114 from both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 29) + 56 = x + 121", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 29, \"c\": 56, \"e\": 121, \"x\": 7}", "seed": "13382766882827115342", "semantic_fingerprint": "sha256:e2bdf3648548f12a07b9b6972595daad5e2fa889cf2d63ede8ed11fc0f93d905", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003752", "prompt": "Compute: -56 + (2 - (-53 + (-52)) + (-58 + 0))", "solution_steps": ["Add: -53 + (-52) = -105", "Subtract: 2 - (-105) = 107", "Add: -58 + 0 = -58", "Add: 107 + (-58) = 49", "Add: -56 + 49 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-56 + (2 - (-53 + (-52)) + (-58 + 0))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- n (+ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 2, \"c\": -53, \"d\": -52, \"e\": -58, \"f\": 0}", "seed": "17350004179899043517", "semantic_fingerprint": "sha256:7e70dbbfbf21c24e8421c4ce8c868a00bfd685fa3cb880e905955406b9aa3f68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003753", "prompt": "What value of x satisfies 8x - 1 = 6x - 33?", "solution_steps": ["Subtract 6x from both sides: 2x - 1 = -33", "Add 1 to both sides: 2x = -32", "Divide both sides by 2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 1 = 6x - 33", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 6, \"e\": -33, \"x\": -16}", "seed": "8910179073015592909", "semantic_fingerprint": "sha256:56830e2704c34b0dc239f5d1e970bbb93b18874dfbfc8787317c62fbe583306b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003754", "prompt": "Compute: (-5 + (-69)) / (78 / 2) - (-7) * 4", "solution_steps": ["Add: -5 + (-69) = -74", "Divide: 78 / 2 = 39", "Divide: -74 / 39 = -74/39", "Multiply: -7 * 4 = -28", "Subtract: -74/39 - (-28) = 1018/39"], "final_answer": "1018/39", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (-69)) / (78 / 2) - (-7) * 4", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (/ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -69, \"c\": 78, \"d\": 2, \"e\": -7, \"f\": 4}", "seed": "8463274223449021023", "semantic_fingerprint": "sha256:a6c6cef02a73aa67ef1ff2e827554994ee3627f6d5f4ff671a084c47f5d7eff7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003755", "prompt": "Compute: (1 - (-912 + (-244))) * 4", "solution_steps": ["Add: -912 + (-244) = -1156", "Subtract: 1 - (-1156) = 1157", "Multiply: 1157 * 4 = 4628"], "final_answer": "4628", "answer_type": "integer", "kind": "expression", "math_text": "(1 - (-912 + (-244))) * 4", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -912, \"c\": -244, \"d\": 4}", "seed": "14140568152130636236", "semantic_fingerprint": "sha256:11e37edf18a3c2a060c180c20f71f53c50bdd7043442368117d31cea0c8a8713", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003756", "prompt": "What is -19 / (-7) - (-36 - (-688)) - (-578)?", "solution_steps": ["Divide: -19 / (-7) = 19/7", "Subtract: -36 - (-688) = 652", "Subtract: 19/7 - 652 = -4545/7", "Subtract: -4545/7 - (-578) = -499/7"], "final_answer": "-499/7", "answer_type": "rational", "kind": "expression", "math_text": "-19 / (-7) - (-36 - (-688)) - (-578)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -7, \"c\": -36, \"d\": -688, \"e\": -578}", "seed": "7068927383834519959", "semantic_fingerprint": "sha256:8349b269ed93bd4690fa98e18b1e5185b5474c01bb2178ccfb41c79785aa8f35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003757", "prompt": "Calculate: (-94 + (-98)) / (-4 - (-62)) / 752", "solution_steps": ["Add: -94 + (-98) = -192", "Subtract: -4 - (-62) = 58", "Divide: -192 / 58 = -96/29", "Divide: (-96/29) / 752 = -6/1363"], "final_answer": "-6/1363", "answer_type": "rational", "kind": "expression", "math_text": "(-94 + (-98)) / (-4 - (-62)) / 752", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -98, \"c\": -4, \"d\": -62, \"e\": 752}", "seed": "8048459807117556323", "semantic_fingerprint": "sha256:10ec08f3cf5b6a8413bef5775824c49171244b4d8df5e43afd513828675164b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003758", "prompt": "Find x: 3x - 651 = 9(x - 61)", "solution_steps": ["Expand: 3x - 651 = 9x - 549", "Subtract 9x from both sides: -6x - 651 = -549", "Add 651 to both sides: -6x = 102", "Divide both sides by -6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 651 = 9(x - 61)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 61, \"e\": -651, \"x\": -17}", "seed": "17006795978084045453", "semantic_fingerprint": "sha256:ba702aa4ba34f7a4c2508da0b884efd45ed829bb74a41bbebfb396ebd6191c31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003759", "prompt": "Evaluate: 550 / 67 - (-520) - (-754) / 25", "solution_steps": ["Divide: 550 / 67 = 550/67", "Subtract: 550/67 - (-520) = 35390/67", "Divide: -754 / 25 = -754/25", "Subtract: 35390/67 - (-754/25) = 935268/1675"], "final_answer": "935268/1675", "answer_type": "rational", "kind": "expression", "math_text": "550 / 67 - (-520) - (-754) / 25", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 550, \"b\": 67, \"c\": -520, \"d\": -754, \"e\": 25}", "seed": "17470701434136673441", "semantic_fingerprint": "sha256:64950275b37e43529861e51ae9bf940f2d6adfe50996383cf5ca289e07237cab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003760", "prompt": "What is 3 / 9 * (344 / 762)?", "solution_steps": ["Divide: 3 / 9 = 1/3", "Divide: 344 / 762 = 172/381", "Multiply: (1/3) * (172/381) = 172/1143"], "final_answer": "172/1143", "answer_type": "rational", "kind": "expression", "math_text": "3 / 9 * (344 / 762)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 344, \"d\": 762}", "seed": "2238872037847938987", "semantic_fingerprint": "sha256:4b11c1e9e371cf77dbda0245773e3bcda8d244955c53a00a116c7541d0647044", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003761", "prompt": "Evaluate: 3 - (-95 + 871) / (-79)", "solution_steps": ["Add: -95 + 871 = 776", "Divide: 776 / (-79) = -776/79", "Subtract: 3 - (-776/79) = 1013/79"], "final_answer": "1013/79", "answer_type": "rational", "kind": "expression", "math_text": "3 - (-95 + 871) / (-79)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -95, \"c\": 871, \"d\": -79}", "seed": "4448129575397913020", "semantic_fingerprint": "sha256:f8e6cdc90b8ceb21c371c2c738e8d6fc77c86744bb5c5967bc9ac959ae093536", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003762", "prompt": "What is -22 / (18 - 9 + 2) * (2 / (-97))?", "solution_steps": ["Subtract: 18 - 9 = 9", "Add: 9 + 2 = 11", "Divide: -22 / 11 = -2", "Divide: 2 / (-97) = -2/97", "Multiply: -2 * (-2/97) = 4/97"], "final_answer": "4/97", "answer_type": "rational", "kind": "expression", "math_text": "-22 / (18 - 9 + 2) * (2 / (-97))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 18, \"c\": 9, \"d\": 2, \"e\": 2, \"f\": -97}", "seed": "6060336149448700579", "semantic_fingerprint": "sha256:44bbabcb978d3f3d0da55aa4f52090c46d590c57065603455a6dc8a7d6da8fea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003763", "prompt": "Compute: 76 * (28 / (952 * (-6 + (-5))))", "solution_steps": ["Add: -6 + (-5) = -11", "Multiply: 952 * (-11) = -10472", "Divide: 28 / (-10472) = -1/374", "Multiply: 76 * (-1/374) = -38/187"], "final_answer": "-38/187", "answer_type": "rational", "kind": "expression", "math_text": "76 * (28 / (952 * (-6 + (-5))))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 28, \"c\": 952, \"d\": -6, \"e\": -5}", "seed": "15663970766628753760", "semantic_fingerprint": "sha256:3da50ec6c391c115c70846229868ed7c731bade36a61377956cf096bac0a2d69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003764", "prompt": "What value of x satisfies -3(x + 62) + 739 = x + 25?", "solution_steps": ["Expand: -3x - 186 + 739 = x + 25", "Combine constants: -3x + 553 = x + 25", "Subtract x from both sides: -4x + 553 = 25", "Subtract 553 from both sides: -4x = -528", "Divide both sides by -4: x = 132"], "final_answer": "132", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 62) + 739 = x + 25", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 62, \"c\": 739, \"d\": 25}", "seed": "63067375912678402", "semantic_fingerprint": "sha256:80e4f72560d44e35104a8283484b6d2ebd651106bf4be764dfac5e34611c5cb6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003765", "prompt": "Calculate: -9 + (-3) / (-5 + 40 + 507)", "solution_steps": ["Add: -5 + 40 = 35", "Add: 35 + 507 = 542", "Divide: -3 / 542 = -3/542", "Add: -9 + (-3/542) = -4881/542"], "final_answer": "-4881/542", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (-3) / (-5 + 40 + 507)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": -5, \"d\": 40, \"e\": 507}", "seed": "6852876484519041388", "semantic_fingerprint": "sha256:1ae011907f3e0ceb2e157d9b277c2a70aee269ceaeee4eb71a1edc1c9cad5b26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003766", "prompt": "Solve the equation -8x = -6(x + 90) + 8 for x.", "solution_steps": ["Expand: -8x = -6x - 540 + 8", "Combine constants: -8x = -6x - 532", "Add 6x to both sides: -2x = -532", "Divide both sides by -2: x = 266"], "final_answer": "266", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = -6(x + 90) + 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -6, \"c\": 90, \"d\": 8}", "seed": "14609750567317364453", "semantic_fingerprint": "sha256:12fa02689e37a1adf1e0b931d38ca9a7cdd9b2322d591b27b5597bbeb6e50f8f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003767", "prompt": "Calculate: -760 - 15 / (-69) - (-69)", "solution_steps": ["Divide: 15 / (-69) = -5/23", "Subtract: -760 - (-5/23) = -17475/23", "Subtract: -17475/23 - (-69) = -15888/23"], "final_answer": "-15888/23", "answer_type": "rational", "kind": "expression", "math_text": "-760 - 15 / (-69) - (-69)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -760, \"b\": 15, \"c\": -69, \"d\": -69}", "seed": "2738130423215345864", "semantic_fingerprint": "sha256:fe494ec24adeb762a9bd7dc499c048dd59df8c4a90b034978b11b43f2807161b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003768", "prompt": "Find x: 8x - 440 = 4(x - 90)", "solution_steps": ["Expand: 8x - 440 = 4x - 360", "Subtract 4x from both sides: 4x - 440 = -360", "Add 440 to both sides: 4x = 80", "Divide both sides by 4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 440 = 4(x - 90)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 90, \"e\": -440, \"x\": 20}", "seed": "3687241484174454637", "semantic_fingerprint": "sha256:26b13eaf7a05f3ea4c82fb2a3cf87b13d5e2d055b9d8c138dcda961f24591d88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003769", "prompt": "Solve for x: 3x - 2 = 8(x - 21)", "solution_steps": ["Expand: 3x - 2 = 8x - 168", "Subtract 8x from both sides: -5x - 2 = -168", "Add 2 to both sides: -5x = -166", "Divide both sides by -5: x = 166/5"], "final_answer": "166/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 2 = 8(x - 21)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 8, \"d\": 21}", "seed": "11851750616814969987", "semantic_fingerprint": "sha256:01acdfdd60f50b1de901d28b73b1a9fa6772c51614b907298fdd95d99401c7af", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003770", "prompt": "Compute: 0 * (9 * (-4)) + (-891)", "solution_steps": ["Multiply: 9 * (-4) = -36", "Multiply: 0 * (-36) = 0", "Add: 0 + (-891) = -891"], "final_answer": "-891", "answer_type": "integer", "kind": "expression", "math_text": "0 * (9 * (-4)) + (-891)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": -4, \"d\": -891}", "seed": "269253661480956400", "semantic_fingerprint": "sha256:7ab7eeb999427804cb05d21eed2e608e118dd5d8e3f02b830c783759201af979", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003771", "prompt": "Find x: -9(x - 54) - 71 = x + 305", "solution_steps": ["Expand: -9x + 486 - 71 = x + 305", "Combine constants: -9x + 415 = x + 305", "Subtract x from both sides: -10x + 415 = 305", "Subtract 415 from both sides: -10x = -110", "Divide both sides by -10: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 54) - 71 = x + 305", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 54, \"c\": 71, \"e\": 305, \"x\": 11}", "seed": "3698394295864738237", "semantic_fingerprint": "sha256:6b6f0fea0613a036809eaf4e195fdef75599f8514f2966052f4919e996f10fd6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003772", "prompt": "What is -867 * (-78 * 0) * 25?", "solution_steps": ["Multiply: -78 * 0 = 0", "Multiply: -867 * 0 = 0", "Multiply: 0 * 25 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-867 * (-78 * 0) * 25", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -867, \"b\": -78, \"c\": 0, \"d\": 25}", "seed": "16702137179921428836", "semantic_fingerprint": "sha256:73598676eebcf0408af2326315b6e21230970f29eabfa4334806b6705895f9d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003773", "prompt": "What value of x satisfies 4(x + 389) + 1 = x + 4?", "solution_steps": ["Expand: 4x + 1556 + 1 = x + 4", "Combine constants: 4x + 1557 = x + 4", "Subtract x from both sides: 3x + 1557 = 4", "Subtract 1557 from both sides: 3x = -1553", "Divide both sides by 3: x = -1553/3"], "final_answer": "-1553/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 389) + 1 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 389, \"c\": 1, \"d\": 4}", "seed": "6956854536681919756", "semantic_fingerprint": "sha256:60022280544d64922d5b52f54a10f0e68e5fda03b0a2b9e637e86a9d652f066c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003774", "prompt": "Compute: -60 - (-950) / (-661 / ((-28 + (-925)) / 38))", "solution_steps": ["Add: -28 + (-925) = -953", "Divide: -953 / 38 = -953/38", "Divide: -661 / (-953/38) = 25118/953", "Divide: -950 / (25118/953) = -23825/661", "Subtract: -60 - (-23825/661) = -15835/661"], "final_answer": "-15835/661", "answer_type": "rational", "kind": "expression", "math_text": "-60 - (-950) / (-661 / ((-28 + (-925)) / 38))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (/ n (/ (+ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -950, \"c\": -661, \"d\": -28, \"e\": -925, \"f\": 38}", "seed": "6379471964291528320", "semantic_fingerprint": "sha256:79884a08b6a8c83de2804d878611ecf41823fc3b847e1060c34cf0219e7f8818", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003775", "prompt": "Solve the equation 7(x + 4) + 45 = x + 127 for x.", "solution_steps": ["Expand: 7x + 28 + 45 = x + 127", "Combine constants: 7x + 73 = x + 127", "Subtract x from both sides: 6x + 73 = 127", "Subtract 73 from both sides: 6x = 54", "Divide both sides by 6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 4) + 45 = x + 127", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 45, \"e\": 127, \"x\": 9}", "seed": "5385200698601775531", "semantic_fingerprint": "sha256:2ade4ebe68d236670b3e99354ac8e6877864737cea35300eaf227105beeebb91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003776", "prompt": "Calculate: 17 + (-25 - (7 + 20))", "solution_steps": ["Add: 7 + 20 = 27", "Subtract: -25 - 27 = -52", "Add: 17 + (-52) = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "17 + (-25 - (7 + 20))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -25, \"c\": 7, \"d\": 20}", "seed": "8036069873008385298", "semantic_fingerprint": "sha256:75f85e51a8c6e5c44ef3a8e21a66a52255ce1f96ee37d934cc87ece76dc04eca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003777", "prompt": "Calculate: -413 + (-65) / ((9 - (-35)) / 53)", "solution_steps": ["Subtract: 9 - (-35) = 44", "Divide: 44 / 53 = 44/53", "Divide: -65 / (44/53) = -3445/44", "Add: -413 + (-3445/44) = -21617/44"], "final_answer": "-21617/44", "answer_type": "rational", "kind": "expression", "math_text": "-413 + (-65) / ((9 - (-35)) / 53)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -413, \"b\": -65, \"c\": 9, \"d\": -35, \"e\": 53}", "seed": "13544182746596692267", "semantic_fingerprint": "sha256:0e5696d8460ef6011712239d7cc18f87e4434f892085b8aaf770695da3d596fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003778", "prompt": "Solve the equation 7(x + 753) - 55 = x + 4 for x.", "solution_steps": ["Expand: 7x + 5271 - 55 = x + 4", "Combine constants: 7x + 5216 = x + 4", "Subtract x from both sides: 6x + 5216 = 4", "Subtract 5216 from both sides: 6x = -5212", "Divide both sides by 6: x = -2606/3"], "final_answer": "-2606/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 753) - 55 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 753, \"c\": 55, \"d\": 4}", "seed": "16575399455441558449", "semantic_fingerprint": "sha256:0036e567533193630824d532abad29446669e7803f2456eb09a6323ad0d608c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003779", "prompt": "What value of x satisfies 2(x + 9) = 7(x - 41) + 87?", "solution_steps": ["Expand: 2x + 18 = 7(x - 41) + 87", "Expand: 2x + 18 = 7x - 287 + 87", "Combine constants: 2x + 18 = 7x - 200", "Subtract 7x from both sides: -5x + 18 = -200", "Subtract 18 from both sides: -5x = -218", "Divide both sides by -5: x = 218/5"], "final_answer": "218/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 9) = 7(x - 41) + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 7, \"d\": 41, \"e\": 87}", "seed": "11073471429860458169", "semantic_fingerprint": "sha256:307e08d34ec8e08eee872243bc044bb6838862103b72dff703efa9079f770887", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003780", "prompt": "Evaluate: 36 - (-8) / 15 - 831", "solution_steps": ["Divide: -8 / 15 = -8/15", "Subtract: 36 - (-8/15) = 548/15", "Subtract: 548/15 - 831 = -11917/15"], "final_answer": "-11917/15", "answer_type": "rational", "kind": "expression", "math_text": "36 - (-8) / 15 - 831", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -8, \"c\": 15, \"d\": 831}", "seed": "4136479906138147371", "semantic_fingerprint": "sha256:61967269bdb9ba82285b1d8495cb979592d4f8b0c397fc1bbeb98d39546ae0ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003781", "prompt": "Solve the equation 8(x + 74) - 82 = x + 447 for x.", "solution_steps": ["Expand: 8x + 592 - 82 = x + 447", "Combine constants: 8x + 510 = x + 447", "Subtract x from both sides: 7x + 510 = 447", "Subtract 510 from both sides: 7x = -63", "Divide both sides by 7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 74) - 82 = x + 447", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 74, \"c\": 82, \"e\": 447, \"x\": -9}", "seed": "2019220649705326174", "semantic_fingerprint": "sha256:f6ceea34a5e9dd677884014ffc99225aef11e7ca15c2a15050fb8c6c127d71e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003782", "prompt": "Solve the equation 11x - 7 = 2(x - 37) for x.", "solution_steps": ["Expand: 11x - 7 = 2x - 74", "Subtract 2x from both sides: 9x - 7 = -74", "Add 7 to both sides: 9x = -67", "Divide both sides by 9: x = -67/9"], "final_answer": "-67/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 7 = 2(x - 37)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 2, \"d\": 37}", "seed": "723720388115693917", "semantic_fingerprint": "sha256:06de76182ed92445fb39e6ad2d3736ca4045077064a64316e851f2837975d723", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003783", "prompt": "Compute: (-85 - (-5 + (-4))) * (-427 + (-60))", "solution_steps": ["Add: -5 + (-4) = -9", "Subtract: -85 - (-9) = -76", "Add: -427 + (-60) = -487", "Multiply: -76 * (-487) = 37012"], "final_answer": "37012", "answer_type": "integer", "kind": "expression", "math_text": "(-85 - (-5 + (-4))) * (-427 + (-60))", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -5, \"c\": -4, \"d\": -427, \"e\": -60}", "seed": "3233885501039739992", "semantic_fingerprint": "sha256:59107577f5cab53fc64c313a76463d2e528ec6a4ef732b5998f52d76e04881b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003784", "prompt": "Find x: -9(x + 6) + 7 = x + 68", "solution_steps": ["Expand: -9x - 54 + 7 = x + 68", "Combine constants: -9x - 47 = x + 68", "Subtract x from both sides: -10x - 47 = 68", "Add 47 to both sides: -10x = 115", "Divide both sides by -10: x = -23/2"], "final_answer": "-23/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 6) + 7 = x + 68", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 7, \"d\": 68}", "seed": "4870763188329355970", "semantic_fingerprint": "sha256:34864bed782932f38a3492eac76ec18764f8f44143eacd1b6a0457d159a763b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003785", "prompt": "Find x: 12x = -10(x + 50) + 830", "solution_steps": ["Expand: 12x = -10x - 500 + 830", "Combine constants: 12x = -10x + 330", "Add 10x to both sides: 22x = 330", "Divide both sides by 22: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -10(x + 50) + 830", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -10, \"c\": 50, \"e\": 830, \"x\": 15}", "seed": "17347527723686820737", "semantic_fingerprint": "sha256:446345108cc08c2d1ca92798b0ac0e8c1ff4c7c79c1a2d71ae5160acff0722a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003786", "prompt": "Solve for x: 8x = -4(x + 62) + 156", "solution_steps": ["Expand: 8x = -4x - 248 + 156", "Combine constants: 8x = -4x - 92", "Add 4x to both sides: 12x = -92", "Divide both sides by 12: x = -23/3"], "final_answer": "-23/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = -4(x + 62) + 156", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -4, \"c\": 62, \"d\": 156}", "seed": "9682175937602677581", "semantic_fingerprint": "sha256:9780ffb56caa6d1039502e6563e233a39a1913f3689fee293bbb31d2bff51e17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003787", "prompt": "Solve for x: 11x - 7 = -9x - 347", "solution_steps": ["Add 9x to both sides: 20x - 7 = -347", "Add 7 to both sides: 20x = -340", "Divide both sides by 20: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 7 = -9x - 347", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": -9, \"e\": -347, \"x\": -17}", "seed": "9829817542956947656", "semantic_fingerprint": "sha256:d4227e0e3f76c0c98a58c67028c8420505420eb687aa4de670bb18d4e3613d19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003788", "prompt": "Find x: 3x - 70 = 5(x - 30)", "solution_steps": ["Expand: 3x - 70 = 5x - 150", "Subtract 5x from both sides: -2x - 70 = -150", "Add 70 to both sides: -2x = -80", "Divide both sides by -2: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 70 = 5(x - 30)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 70, \"c\": 5, \"d\": 30}", "seed": "2031452440173942232", "semantic_fingerprint": "sha256:b0b35e2ad290f004214565d566c6004cc894dfb638d03dd1ee98472860cf4829", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003789", "prompt": "Evaluate: (-25 + (-62)) * (3 + 2 * 42)", "solution_steps": ["Add: -25 + (-62) = -87", "Multiply: 2 * 42 = 84", "Add: 3 + 84 = 87", "Multiply: -87 * 87 = -7569"], "final_answer": "-7569", "answer_type": "integer", "kind": "expression", "math_text": "(-25 + (-62)) * (3 + 2 * 42)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -62, \"c\": 3, \"d\": 2, \"e\": 42}", "seed": "7161109468306934582", "semantic_fingerprint": "sha256:7eb75007856693741083b18b2299e6091c1db8ec1b1dc67eb6ab46d1288a29b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003790", "prompt": "Solve for x: 5(x + 76) - 7 = x + 1", "solution_steps": ["Expand: 5x + 380 - 7 = x + 1", "Combine constants: 5x + 373 = x + 1", "Subtract x from both sides: 4x + 373 = 1", "Subtract 373 from both sides: 4x = -372", "Divide both sides by 4: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 76) - 7 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 76, \"c\": 7, \"d\": 1}", "seed": "9311629036529941984", "semantic_fingerprint": "sha256:5768e7feef9c610942adb2ca20ab92a597efdc4a190f4df82b8fa97b50a9ac40", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003791", "prompt": "Calculate: (4 - (941 / 71 + (-95))) * (-98 + (-3))", "solution_steps": ["Divide: 941 / 71 = 941/71", "Add: 941/71 + (-95) = -5804/71", "Subtract: 4 - (-5804/71) = 6088/71", "Add: -98 + (-3) = -101", "Multiply: (6088/71) * (-101) = -614888/71"], "final_answer": "-614888/71", "answer_type": "rational", "kind": "expression", "math_text": "(4 - (941 / 71 + (-95))) * (-98 + (-3))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ (/ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 941, \"c\": 71, \"d\": -95, \"e\": -98, \"f\": -3}", "seed": "559280416628019612", "semantic_fingerprint": "sha256:c2e79e222d548ca0ea1949164720494d1b29f91b2e298dce5c93b568b5549b74", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003792", "prompt": "Calculate: 1 - 0 + (-1 + (-326)) / 8 / (-6)", "solution_steps": ["Subtract: 1 - 0 = 1", "Add: -1 + (-326) = -327", "Divide: -327 / 8 = -327/8", "Divide: (-327/8) / (-6) = 109/16", "Add: 1 + 109/16 = 125/16"], "final_answer": "125/16", "answer_type": "rational", "kind": "expression", "math_text": "1 - 0 + (-1 + (-326)) / 8 / (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (/ (/ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": -1, \"d\": -326, \"e\": 8, \"f\": -6}", "seed": "17100100524467687702", "semantic_fingerprint": "sha256:8d81360601d8e9e9561b67ade3b478eb8a1eba805617cb4c883a3614e98589b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003793", "prompt": "Solve the equation 4(x + 97) + 5 = x + 336 for x.", "solution_steps": ["Expand: 4x + 388 + 5 = x + 336", "Combine constants: 4x + 393 = x + 336", "Subtract x from both sides: 3x + 393 = 336", "Subtract 393 from both sides: 3x = -57", "Divide both sides by 3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 97) + 5 = x + 336", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 97, \"c\": 5, \"e\": 336, \"x\": -19}", "seed": "1920093897757063822", "semantic_fingerprint": "sha256:cf504ccfa882f4a2b2dae28913ee42ad3af43ac9d231f2fca7995e180983b352", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003794", "prompt": "Solve the equation 7(x + 7) + 20 = x + 63 for x.", "solution_steps": ["Expand: 7x + 49 + 20 = x + 63", "Combine constants: 7x + 69 = x + 63", "Subtract x from both sides: 6x + 69 = 63", "Subtract 69 from both sides: 6x = -6", "Divide both sides by 6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) + 20 = x + 63", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 20, \"e\": 63, \"x\": -1}", "seed": "3205233481937428832", "semantic_fingerprint": "sha256:3229cb991790b9998f7617d85c82a40049370f1001f163834226270bcd8eb306", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003795", "prompt": "Solve the equation 11(x + 4) + 335 = x + 8 for x.", "solution_steps": ["Expand: 11x + 44 + 335 = x + 8", "Combine constants: 11x + 379 = x + 8", "Subtract x from both sides: 10x + 379 = 8", "Subtract 379 from both sides: 10x = -371", "Divide both sides by 10: x = -371/10"], "final_answer": "-371/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 4) + 335 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 335, \"d\": 8}", "seed": "12403749118103935279", "semantic_fingerprint": "sha256:9c509857b4b9bfd98d75db00c0d17c6544d88cd3fa631639fed771b00dc7a47f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003796", "prompt": "Calculate: -7 * 13 * (10 / 7)", "solution_steps": ["Multiply: -7 * 13 = -91", "Divide: 10 / 7 = 10/7", "Multiply: -91 * (10/7) = -130"], "final_answer": "-130", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 13 * (10 / 7)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 13, \"c\": 10, \"d\": 7}", "seed": "743277025237402353", "semantic_fingerprint": "sha256:55735c9a137be4ca4461157a523b289670137629f5b3ee153ab04d63230c6197", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003797", "prompt": "Calculate: (-11 + (-59)) / (51 - (-2)) / (-950)", "solution_steps": ["Add: -11 + (-59) = -70", "Subtract: 51 - (-2) = 53", "Divide: -70 / 53 = -70/53", "Divide: (-70/53) / (-950) = 7/5035"], "final_answer": "7/5035", "answer_type": "rational", "kind": "expression", "math_text": "(-11 + (-59)) / (51 - (-2)) / (-950)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -59, \"c\": 51, \"d\": -2, \"e\": -950}", "seed": "15841647806375076386", "semantic_fingerprint": "sha256:e77e5bdbaa3b7c6e580e5c453ebb342f3e9967636ebb45fa96dd653c276f7043", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003798", "prompt": "What is (97 - (-25)) * (-691) / (-60 - 642)?", "solution_steps": ["Subtract: 97 - (-25) = 122", "Multiply: 122 * (-691) = -84302", "Subtract: -60 - 642 = -702", "Divide: -84302 / (-702) = 42151/351"], "final_answer": "42151/351", "answer_type": "rational", "kind": "expression", "math_text": "(97 - (-25)) * (-691) / (-60 - 642)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -25, \"c\": -691, \"d\": -60, \"e\": 642}", "seed": "15533784390150780192", "semantic_fingerprint": "sha256:0dc6ac90f38cf6b896ddc6462b35ac9d00f26b7b305742a0f41ae4a310674da0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003799", "prompt": "What is 2 - (16 + 102) / 592?", "solution_steps": ["Add: 16 + 102 = 118", "Divide: 118 / 592 = 59/296", "Subtract: 2 - 59/296 = 533/296"], "final_answer": "533/296", "answer_type": "rational", "kind": "expression", "math_text": "2 - (16 + 102) / 592", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 16, \"c\": 102, \"d\": 592}", "seed": "5918804046872548455", "semantic_fingerprint": "sha256:e5534caf406f7c01a7dbd8cae495cd73ccdbb2622e290c16409c5e6acc4ef83c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003800", "prompt": "Calculate: 4 / (-2 * (-9 + (-19) / 7))", "solution_steps": ["Divide: -19 / 7 = -19/7", "Add: -9 + (-19/7) = -82/7", "Multiply: -2 * (-82/7) = 164/7", "Divide: 4 / (164/7) = 7/41"], "final_answer": "7/41", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-2 * (-9 + (-19) / 7))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": -9, \"d\": -19, \"e\": 7}", "seed": "16176366379158248035", "semantic_fingerprint": "sha256:dfeebda9f90b7112829272ad5cd81dc275f699bbd1d1a1a2ff24464616224d21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003801", "prompt": "What is (150 + (-315) / (-61 + (-47))) / (47 + 87)?", "solution_steps": ["Add: -61 + (-47) = -108", "Divide: -315 / (-108) = 35/12", "Add: 150 + 35/12 = 1835/12", "Add: 47 + 87 = 134", "Divide: (1835/12) / 134 = 1835/1608"], "final_answer": "1835/1608", "answer_type": "rational", "kind": "expression", "math_text": "(150 + (-315) / (-61 + (-47))) / (47 + 87)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (/ n (+ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 150, \"b\": -315, \"c\": -61, \"d\": -47, \"e\": 47, \"f\": 87}", "seed": "5745841849592438203", "semantic_fingerprint": "sha256:28acf247bf0c34285bce966a35b9029f1a39330fd7ebf3524b408b8f49f43d07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003802", "prompt": "Solve for x: 3(x + 4) + 65 = x + 97", "solution_steps": ["Expand: 3x + 12 + 65 = x + 97", "Combine constants: 3x + 77 = x + 97", "Subtract x from both sides: 2x + 77 = 97", "Subtract 77 from both sides: 2x = 20", "Divide both sides by 2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 4) + 65 = x + 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 65, \"e\": 97, \"x\": 10}", "seed": "2423200249270999463", "semantic_fingerprint": "sha256:0411cdc0d5c8ff9aa21b1e3e06748ec3a82acb1c66665e30927455284d459429", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003803", "prompt": "Solve for x: -12x = 5(x + 8) + 198", "solution_steps": ["Expand: -12x = 5x + 40 + 198", "Combine constants: -12x = 5x + 238", "Subtract 5x from both sides: -17x = 238", "Divide both sides by -17: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 5(x + 8) + 198", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"c\": 8, \"e\": 198, \"x\": -14}", "seed": "12747179784435562296", "semantic_fingerprint": "sha256:e408832ad2ac7c9bb7a2d116d8d5de5797aea4f60e874ea313d8c5ed53b3ffe3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003804", "prompt": "Solve the equation 4(x + 38) + 52 = x + 174 for x.", "solution_steps": ["Expand: 4x + 152 + 52 = x + 174", "Combine constants: 4x + 204 = x + 174", "Subtract x from both sides: 3x + 204 = 174", "Subtract 204 from both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 38) + 52 = x + 174", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 38, \"c\": 52, \"e\": 174, \"x\": -10}", "seed": "6877296653251167348", "semantic_fingerprint": "sha256:ecf677f5738c767caa71bbc10dd14ab66397708835cbe14266caf47ac200e1c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003805", "prompt": "Find x: 7x = -11(x + 77) + 432", "solution_steps": ["Expand: 7x = -11x - 847 + 432", "Combine constants: 7x = -11x - 415", "Add 11x to both sides: 18x = -415", "Divide both sides by 18: x = -415/18"], "final_answer": "-415/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -11(x + 77) + 432", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -11, \"c\": 77, \"d\": 432}", "seed": "6788313292276293372", "semantic_fingerprint": "sha256:6f56c159bc90181e9da3661a48e1b0770421739168e784eebd1db1fe63fb08ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003806", "prompt": "Find x: 11(x + 4) + 43 = x + 117", "solution_steps": ["Expand: 11x + 44 + 43 = x + 117", "Combine constants: 11x + 87 = x + 117", "Subtract x from both sides: 10x + 87 = 117", "Subtract 87 from both sides: 10x = 30", "Divide both sides by 10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 4) + 43 = x + 117", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 43, \"e\": 117, \"x\": 3}", "seed": "716531823564016826", "semantic_fingerprint": "sha256:9c7db27ce1f3280cb502633eb24c54ce5c9924573fca369cf3b218f94c92d6c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003807", "prompt": "Find x: 10x = 4(x + 27) - 174", "solution_steps": ["Expand: 10x = 4x + 108 - 174", "Combine constants: 10x = 4x - 66", "Subtract 4x from both sides: 6x = -66", "Divide both sides by 6: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 4(x + 27) - 174", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 27, \"e\": -174, \"x\": -11}", "seed": "8054775333406330009", "semantic_fingerprint": "sha256:111fbec592bda6d710bb49151ea0cc6cb088b04fc09114e0d105ff1efc40d1d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003808", "prompt": "Evaluate: -3 + (881 / (-4) - 4 * (-781))", "solution_steps": ["Divide: 881 / (-4) = -881/4", "Multiply: 4 * (-781) = -3124", "Subtract: -881/4 - (-3124) = 11615/4", "Add: -3 + 11615/4 = 11603/4"], "final_answer": "11603/4", "answer_type": "rational", "kind": "expression", "math_text": "-3 + (881 / (-4) - 4 * (-781))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 881, \"c\": -4, \"d\": 4, \"e\": -781}", "seed": "17258118947387118537", "semantic_fingerprint": "sha256:0295d6d7ea202761c485736eafb350b2e43cfefd7311a545ff41dea7c8f9ef8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003809", "prompt": "Compute: 764 / 34 * (-44 / 6)", "solution_steps": ["Divide: 764 / 34 = 382/17", "Divide: -44 / 6 = -22/3", "Multiply: (382/17) * (-22/3) = -8404/51"], "final_answer": "-8404/51", "answer_type": "rational", "kind": "expression", "math_text": "764 / 34 * (-44 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 764, \"b\": 34, \"c\": -44, \"d\": 6}", "seed": "3120131130678785355", "semantic_fingerprint": "sha256:ccaa9753fd1ab8be901664a7db452a97e8c05f7964d40c48f00c176cb53295ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003810", "prompt": "Find x: 4x - 28 = 6(x - 9)", "solution_steps": ["Expand: 4x - 28 = 6x - 54", "Subtract 6x from both sides: -2x - 28 = -54", "Add 28 to both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 28 = 6(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 9, \"e\": -28, \"x\": 13}", "seed": "4978484248674792700", "semantic_fingerprint": "sha256:8650ceab0f44bf2e2fecf7f9928f90b7069c9f284fcf0e93464e409e01238b59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003811", "prompt": "Evaluate: (-981 - (72 + 44)) * 4", "solution_steps": ["Add: 72 + 44 = 116", "Subtract: -981 - 116 = -1097", "Multiply: -1097 * 4 = -4388"], "final_answer": "-4388", "answer_type": "integer", "kind": "expression", "math_text": "(-981 - (72 + 44)) * 4", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -981, \"b\": 72, \"c\": 44, \"d\": 4}", "seed": "16658006933082491457", "semantic_fingerprint": "sha256:b7487adc7b6f1786a0f3a9b0e3b1be7ff016b2ab2d71b7e2222ac2167e0044fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003812", "prompt": "Solve the equation 9x - 35 = 7(x - 801) for x.", "solution_steps": ["Expand: 9x - 35 = 7x - 5607", "Subtract 7x from both sides: 2x - 35 = -5607", "Add 35 to both sides: 2x = -5572", "Divide both sides by 2: x = -2786"], "final_answer": "-2786", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 35 = 7(x - 801)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 35, \"c\": 7, \"d\": 801}", "seed": "6262619909538975203", "semantic_fingerprint": "sha256:8cd1d4b084711757fc88ee7dd45998d053dc75b677de7767499fe74a398f19b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003813", "prompt": "Solve for x: 6(x + 7) = -4(x - 415) + 53", "solution_steps": ["Expand: 6x + 42 = -4(x - 415) + 53", "Expand: 6x + 42 = -4x + 1660 + 53", "Combine constants: 6x + 42 = -4x + 1713", "Add 4x to both sides: 10x + 42 = 1713", "Subtract 42 from both sides: 10x = 1671", "Divide both sides by 10: x = 1671/10"], "final_answer": "1671/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 7) = -4(x - 415) + 53", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": -4, \"d\": 415, \"e\": 53}", "seed": "3535108435465854755", "semantic_fingerprint": "sha256:afbbfa5e59a8813a21ea72af9065969f454d970a2fe7883236e0a802a0e702ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003814", "prompt": "What is -121 + 3 * (-204) - (-2 + 878)?", "solution_steps": ["Multiply: 3 * (-204) = -612", "Add: -121 + (-612) = -733", "Add: -2 + 878 = 876", "Subtract: -733 - 876 = -1609"], "final_answer": "-1609", "answer_type": "integer", "kind": "expression", "math_text": "-121 + 3 * (-204) - (-2 + 878)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -121, \"b\": 3, \"c\": -204, \"d\": -2, \"e\": 878}", "seed": "292504777171488250", "semantic_fingerprint": "sha256:7945219e696aa3d865e8aea7c6f3e99e7b250b6df2deadc7b719f7f72c50b1a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003815", "prompt": "What is -1 * 23 + (31 - (-50))?", "solution_steps": ["Multiply: -1 * 23 = -23", "Subtract: 31 - (-50) = 81", "Add: -23 + 81 = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 23 + (31 - (-50))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 23, \"c\": 31, \"d\": -50}", "seed": "3246945523564710000", "semantic_fingerprint": "sha256:37302d8d1eb50160ab47674a4cbb81f9caea6c6be273ccd2237c062fa1aaa788", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003816", "prompt": "Evaluate: (0 - 150 - 5) * 79", "solution_steps": ["Subtract: 0 - 150 = -150", "Subtract: -150 - 5 = -155", "Multiply: -155 * 79 = -12245"], "final_answer": "-12245", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 150 - 5) * 79", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 150, \"c\": 5, \"d\": 79}", "seed": "8009697604333892653", "semantic_fingerprint": "sha256:12a0ca5c45cf126fae87cc1fee0102ebfcd83e0867fc1a41fe21395cac67c038", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003817", "prompt": "Find x: 11(x + 2) = 9(x - 62) + 901", "solution_steps": ["Expand: 11x + 22 = 9(x - 62) + 901", "Expand: 11x + 22 = 9x - 558 + 901", "Combine constants: 11x + 22 = 9x + 343", "Subtract 9x from both sides: 2x + 22 = 343", "Subtract 22 from both sides: 2x = 321", "Divide both sides by 2: x = 321/2"], "final_answer": "321/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 2) = 9(x - 62) + 901", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 9, \"d\": 62, \"e\": 901}", "seed": "17396199811150840297", "semantic_fingerprint": "sha256:3fbbd5b93cbc50f2cdfac8692a2eb1e79db8c5d68309a279d666862bda0878d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003818", "prompt": "Calculate: -999 / (-149 / 12) + 59", "solution_steps": ["Divide: -149 / 12 = -149/12", "Divide: -999 / (-149/12) = 11988/149", "Add: 11988/149 + 59 = 20779/149"], "final_answer": "20779/149", "answer_type": "rational", "kind": "expression", "math_text": "-999 / (-149 / 12) + 59", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -999, \"b\": -149, \"c\": 12, \"d\": 59}", "seed": "11704912896768413091", "semantic_fingerprint": "sha256:bb7741a8a6ba49d8f83304189aaf7c21fb565886b0118b087d1507e3601dc1e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003819", "prompt": "Compute: -95 * (7 + (-3) * 4)", "solution_steps": ["Multiply: -3 * 4 = -12", "Add: 7 + (-12) = -5", "Multiply: -95 * (-5) = 475"], "final_answer": "475", "answer_type": "integer", "kind": "expression", "math_text": "-95 * (7 + (-3) * 4)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 7, \"c\": -3, \"d\": 4}", "seed": "5356349554735548675", "semantic_fingerprint": "sha256:190860048525af6b383b59208383f5bef49e8692da9beddc9a3de65b5a7d76da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003820", "prompt": "Find x: 7x = 10(x + 87) - 900", "solution_steps": ["Expand: 7x = 10x + 870 - 900", "Combine constants: 7x = 10x - 30", "Subtract 10x from both sides: -3x = -30", "Divide both sides by -3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 10(x + 87) - 900", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 87, \"e\": -900, \"x\": 10}", "seed": "2574382433829316572", "semantic_fingerprint": "sha256:89967d9b40c7de60dd1ef229e046b45e5fff1c2ed9c65d0469704397e53e5d7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003821", "prompt": "What value of x satisfies 12(x + 5) - 9 = x + 205?", "solution_steps": ["Expand: 12x + 60 - 9 = x + 205", "Combine constants: 12x + 51 = x + 205", "Subtract x from both sides: 11x + 51 = 205", "Subtract 51 from both sides: 11x = 154", "Divide both sides by 11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 5) - 9 = x + 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 9, \"e\": 205, \"x\": 14}", "seed": "12634620679609807319", "semantic_fingerprint": "sha256:c678b12f7fd91f14cfe9bf8a66c39031f62cd605898ce493ab5091a0b3fb86b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003822", "prompt": "Solve the equation 8(x - 3) + 300 = 9(x + 31) for x.", "solution_steps": ["Expand: 8x - 24 + 300 = 9(x + 31)", "Expand: 8x - 24 + 300 = 9x + 279", "Combine constants: 8x + 276 = 9x + 279", "Subtract 9x from both sides: -x + 276 = 279", "Subtract 276 from both sides: -x = 3", "Divide both sides by -1: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) + 300 = 9(x + 31)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 9, \"d\": 31, \"f\": 300, \"x\": -3}", "seed": "96235402698699262", "semantic_fingerprint": "sha256:89ab902decb027dc4ba5d3cf8558b302e2aa875815660fa59379083c22f82458", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003823", "prompt": "Solve the equation 5x = 6(x + 6) - 52 for x.", "solution_steps": ["Expand: 5x = 6x + 36 - 52", "Combine constants: 5x = 6x - 16", "Subtract 6x from both sides: -x = -16", "Divide both sides by -1: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 6(x + 6) - 52", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 6, \"e\": -52, \"x\": 16}", "seed": "3855227308860313601", "semantic_fingerprint": "sha256:45767c92ae0adb710fff68fb2f7dd2c8a295cbd82972c41633e1cbfb0ed7eb70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003824", "prompt": "Evaluate: 69 / (253 + 1) / (-67 - 5)", "solution_steps": ["Add: 253 + 1 = 254", "Divide: 69 / 254 = 69/254", "Subtract: -67 - 5 = -72", "Divide: (69/254) / (-72) = -23/6096"], "final_answer": "-23/6096", "answer_type": "rational", "kind": "expression", "math_text": "69 / (253 + 1) / (-67 - 5)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 253, \"c\": 1, \"d\": -67, \"e\": 5}", "seed": "463992748359048794", "semantic_fingerprint": "sha256:6c2cd62d628ae7342f4d1bdbdaab65f42f77001e42a8be99cd40d4465eed49a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003825", "prompt": "Solve for x: 5(x + 1) + 33 = x + 86", "solution_steps": ["Expand: 5x + 5 + 33 = x + 86", "Combine constants: 5x + 38 = x + 86", "Subtract x from both sides: 4x + 38 = 86", "Subtract 38 from both sides: 4x = 48", "Divide both sides by 4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 1) + 33 = x + 86", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 33, \"e\": 86, \"x\": 12}", "seed": "1788558563791917636", "semantic_fingerprint": "sha256:c4a5fbefe11fbca8ab046ae773f68e209e5344a01347b1dad719a7bf54dca873", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003826", "prompt": "Evaluate: 7 + 285 / (-58 / (-952)) + (-68)", "solution_steps": ["Divide: -58 / (-952) = 29/476", "Divide: 285 / (29/476) = 135660/29", "Add: 7 + 135660/29 = 135863/29", "Add: 135863/29 + (-68) = 133891/29"], "final_answer": "133891/29", "answer_type": "rational", "kind": "expression", "math_text": "7 + 285 / (-58 / (-952)) + (-68)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 285, \"c\": -58, \"d\": -952, \"e\": -68}", "seed": "7100175574902554316", "semantic_fingerprint": "sha256:aea2538ebd7810238ec8d7c5c0574d91b4218f11c28a64f5559f3f7b4f01faa1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003827", "prompt": "Calculate: -806 + (90 - 46) + (-9)", "solution_steps": ["Subtract: 90 - 46 = 44", "Add: -806 + 44 = -762", "Add: -762 + (-9) = -771"], "final_answer": "-771", "answer_type": "integer", "kind": "expression", "math_text": "-806 + (90 - 46) + (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -806, \"b\": 90, \"c\": 46, \"d\": -9}", "seed": "9412986139207246632", "semantic_fingerprint": "sha256:4f3bce09ae4619dac830f86aedbbfa772789e3bb0e9c9e369b61e1830fafb980", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003828", "prompt": "Solve for x: -2(x - 36) + 1 = 9(x + 90)", "solution_steps": ["Expand: -2x + 72 + 1 = 9(x + 90)", "Expand: -2x + 72 + 1 = 9x + 810", "Combine constants: -2x + 73 = 9x + 810", "Subtract 9x from both sides: -11x + 73 = 810", "Subtract 73 from both sides: -11x = 737", "Divide both sides by -11: x = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 36) + 1 = 9(x + 90)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 36, \"c\": 1, \"d\": 9, \"e\": 90}", "seed": "4117495749573531763", "semantic_fingerprint": "sha256:82ccc92d94dda716596d46c064c967f63841c0c86b493d824e333867d7c09f0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003829", "prompt": "Evaluate: -17 * 40 * (78 / ((6 + 632) * 1))", "solution_steps": ["Multiply: -17 * 40 = -680", "Add: 6 + 632 = 638", "Multiply: 638 * 1 = 638", "Divide: 78 / 638 = 39/319", "Multiply: -680 * (39/319) = -26520/319"], "final_answer": "-26520/319", "answer_type": "rational", "kind": "expression", "math_text": "-17 * 40 * (78 / ((6 + 632) * 1))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (/ n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 40, \"c\": 78, \"d\": 6, \"e\": 632, \"f\": 1}", "seed": "3354355952337028148", "semantic_fingerprint": "sha256:551a1b57921c7b486624416afb0e3855381c753cf5da9ab79ea9b8fc33d0d935", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003830", "prompt": "Find x: -2x - 6 = 2x - 210", "solution_steps": ["Subtract 2x from both sides: -4x - 6 = -210", "Add 6 to both sides: -4x = -204", "Divide both sides by -4: x = 51"], "final_answer": "51", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 6 = 2x - 210", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 2, \"d\": 210}", "seed": "3030744502010935906", "semantic_fingerprint": "sha256:9b6dd27ec6d4a4cc7f1cf6b05468e746a0bf9efcb9960f2577f2d27f146255e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003831", "prompt": "Calculate: (-1 - (-16) / (-876)) * (92 + (-2))", "solution_steps": ["Divide: -16 / (-876) = 4/219", "Subtract: -1 - 4/219 = -223/219", "Add: 92 + (-2) = 90", "Multiply: (-223/219) * 90 = -6690/73"], "final_answer": "-6690/73", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-16) / (-876)) * (92 + (-2))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -16, \"c\": -876, \"d\": 92, \"e\": -2}", "seed": "2447087238125269504", "semantic_fingerprint": "sha256:73afc6c774e1d1b8e0daab77bcb777c15a4fa4813781eac25c6cb9da16b5e742", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003832", "prompt": "What value of x satisfies -5(x - 98) + 75 = 11(x + 61)?", "solution_steps": ["Expand: -5x + 490 + 75 = 11(x + 61)", "Expand: -5x + 490 + 75 = 11x + 671", "Combine constants: -5x + 565 = 11x + 671", "Subtract 11x from both sides: -16x + 565 = 671", "Subtract 565 from both sides: -16x = 106", "Divide both sides by -16: x = -53/8"], "final_answer": "-53/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 98) + 75 = 11(x + 61)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 98, \"c\": 75, \"d\": 11, \"e\": 61}", "seed": "9620889824472875343", "semantic_fingerprint": "sha256:49a70422a1b0c03255e4a8d5a2cb83d8b84632e5044759fba322f5eb3aa40d97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003833", "prompt": "Evaluate: -667 / 5 + (3 * (-1) + (7 - (-66)))", "solution_steps": ["Divide: -667 / 5 = -667/5", "Multiply: 3 * (-1) = -3", "Subtract: 7 - (-66) = 73", "Add: -3 + 73 = 70", "Add: -667/5 + 70 = -317/5"], "final_answer": "-317/5", "answer_type": "rational", "kind": "expression", "math_text": "-667 / 5 + (3 * (-1) + (7 - (-66)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -667, \"b\": 5, \"c\": 3, \"d\": -1, \"e\": 7, \"f\": -66}", "seed": "1932407278576606103", "semantic_fingerprint": "sha256:72776f69fee250dc2a7bc32d8d7b15045a77f460e1ace6404578e71786b4bf07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003834", "prompt": "Solve for x: -6x = -12(x + 8) + 5", "solution_steps": ["Expand: -6x = -12x - 96 + 5", "Combine constants: -6x = -12x - 91", "Add 12x to both sides: 6x = -91", "Divide both sides by 6: x = -91/6"], "final_answer": "-91/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x = -12(x + 8) + 5", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -12, \"c\": 8, \"d\": 5}", "seed": "16172860480826698642", "semantic_fingerprint": "sha256:c66de70f405921b1f25f02e6d018fc21496baffb6635eb591fa717f78627cb9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003835", "prompt": "What is (56 - (-1)) * (3 + (-99 - (-14)))?", "solution_steps": ["Subtract: 56 - (-1) = 57", "Subtract: -99 - (-14) = -85", "Add: 3 + (-85) = -82", "Multiply: 57 * (-82) = -4674"], "final_answer": "-4674", "answer_type": "integer", "kind": "expression", "math_text": "(56 - (-1)) * (3 + (-99 - (-14)))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -1, \"c\": 3, \"d\": -99, \"e\": -14}", "seed": "3130646206575312426", "semantic_fingerprint": "sha256:7b892fe606a49893517b6f37d029c9977d8f72c15e11238ca18a4f1aadae08b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003836", "prompt": "Find x: 5(x + 5) + 54 = x + 43", "solution_steps": ["Expand: 5x + 25 + 54 = x + 43", "Combine constants: 5x + 79 = x + 43", "Subtract x from both sides: 4x + 79 = 43", "Subtract 79 from both sides: 4x = -36", "Divide both sides by 4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 5) + 54 = x + 43", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 54, \"e\": 43, \"x\": -9}", "seed": "7249231081517430850", "semantic_fingerprint": "sha256:c115d70a95ff354550c2ec48ddcfc4f43891c6542da1ee894dd81002650f138f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003837", "prompt": "Find x: 6x = -2(x + 60) + 88", "solution_steps": ["Expand: 6x = -2x - 120 + 88", "Combine constants: 6x = -2x - 32", "Add 2x to both sides: 8x = -32", "Divide both sides by 8: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = -2(x + 60) + 88", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -2, \"c\": 60, \"e\": 88, \"x\": -4}", "seed": "12174516327666969235", "semantic_fingerprint": "sha256:7dbec6a892097cf1a47939067398d78e81922295735f224d77952a91efaf3650", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003838", "prompt": "Solve the equation 6x - 57 = -7x - 37 for x.", "solution_steps": ["Add 7x to both sides: 13x - 57 = -37", "Add 57 to both sides: 13x = 20", "Divide both sides by 13: x = 20/13"], "final_answer": "20/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 57 = -7x - 37", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 57, \"c\": -7, \"d\": 37}", "seed": "11882624404442711562", "semantic_fingerprint": "sha256:ef0ff7ab6a6dc065bdc33e0387ed0a060fbaf17d34e8b5f72e90a502b8b3061a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003839", "prompt": "Calculate: -715 * 96 + (7 - 27 * (-8))", "solution_steps": ["Multiply: -715 * 96 = -68640", "Multiply: 27 * (-8) = -216", "Subtract: 7 - (-216) = 223", "Add: -68640 + 223 = -68417"], "final_answer": "-68417", "answer_type": "integer", "kind": "expression", "math_text": "-715 * 96 + (7 - 27 * (-8))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -715, \"b\": 96, \"c\": 7, \"d\": 27, \"e\": -8}", "seed": "1786169770177135877", "semantic_fingerprint": "sha256:11ac0edf5bdbefb051eb049757a666c2391995a79bf40e097cd465fa0a8c9084", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003840", "prompt": "Calculate: 0 - 163 + (-31 + (-2) - (86 - (-981)))", "solution_steps": ["Subtract: 0 - 163 = -163", "Add: -31 + (-2) = -33", "Subtract: 86 - (-981) = 1067", "Subtract: -33 - 1067 = -1100", "Add: -163 + (-1100) = -1263"], "final_answer": "-1263", "answer_type": "integer", "kind": "expression", "math_text": "0 - 163 + (-31 + (-2) - (86 - (-981)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 163, \"c\": -31, \"d\": -2, \"e\": 86, \"f\": -981}", "seed": "10171030468168152633", "semantic_fingerprint": "sha256:202085c9de35804d4cc6cdae4bcd8dbc701fff6551ba6e0d856eb6b0b765e9b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003841", "prompt": "Calculate: (219 - (-5)) * (368 + (-257 - 49))", "solution_steps": ["Subtract: 219 - (-5) = 224", "Subtract: -257 - 49 = -306", "Add: 368 + (-306) = 62", "Multiply: 224 * 62 = 13888"], "final_answer": "13888", "answer_type": "integer", "kind": "expression", "math_text": "(219 - (-5)) * (368 + (-257 - 49))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 219, \"b\": -5, \"c\": 368, \"d\": -257, \"e\": 49}", "seed": "1662094598817727521", "semantic_fingerprint": "sha256:83745485bbe1af039a5a4f5851121fe18ae210a3d9d3b9346626467a56c76cb0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003842", "prompt": "Calculate: 3 * (-6) * (17 / 561)", "solution_steps": ["Multiply: 3 * (-6) = -18", "Divide: 17 / 561 = 1/33", "Multiply: -18 * (1/33) = -6/11"], "final_answer": "-6/11", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-6) * (17 / 561)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6, \"c\": 17, \"d\": 561}", "seed": "3633369779634285463", "semantic_fingerprint": "sha256:d4caa2188dd2700df00f20a0f26d970c19c420dca23d0bf08e52c675083eb7ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003843", "prompt": "Solve for x: -6x - 216 = 6(x - 48)", "solution_steps": ["Expand: -6x - 216 = 6x - 288", "Subtract 6x from both sides: -12x - 216 = -288", "Add 216 to both sides: -12x = -72", "Divide both sides by -12: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 216 = 6(x - 48)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 48, \"e\": -216, \"x\": 6}", "seed": "7870594467739965513", "semantic_fingerprint": "sha256:1ff9c01826935a0e3ecfb9737183f410c0a93385a0880240235b3723b922c15a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003844", "prompt": "Solve for x: 12(x + 35) = -10(x - 9) + 594", "solution_steps": ["Expand: 12x + 420 = -10(x - 9) + 594", "Expand: 12x + 420 = -10x + 90 + 594", "Combine constants: 12x + 420 = -10x + 684", "Add 10x to both sides: 22x + 420 = 684", "Subtract 420 from both sides: 22x = 264", "Divide both sides by 22: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 35) = -10(x - 9) + 594", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 35, \"c\": -10, \"d\": 9, \"f\": 594, \"x\": 12}", "seed": "10893708216107127780", "semantic_fingerprint": "sha256:19c969d054e55f921f75c1919bc86fab88309de009277fe82904b12e3c7489de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003845", "prompt": "Solve for x: 8x = -8(x + 7) - 56", "solution_steps": ["Expand: 8x = -8x - 56 - 56", "Combine constants: 8x = -8x - 112", "Add 8x to both sides: 16x = -112", "Divide both sides by 16: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -8(x + 7) - 56", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": 7, \"e\": -56, \"x\": -7}", "seed": "6719154514889843268", "semantic_fingerprint": "sha256:f68226ef272ebe67ccc44ad407bf5d814775fc80541c14d1850b1d2e5290d0ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003846", "prompt": "Evaluate: 164 + (89 - (-992 + (-3))) + (-408)", "solution_steps": ["Add: -992 + (-3) = -995", "Subtract: 89 - (-995) = 1084", "Add: 164 + 1084 = 1248", "Add: 1248 + (-408) = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "164 + (89 - (-992 + (-3))) + (-408)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 164, \"b\": 89, \"c\": -992, \"d\": -3, \"e\": -408}", "seed": "13164871462379524195", "semantic_fingerprint": "sha256:292197fa6d98a4ccecc6ea9c1467c19a3a143b59d71300e6788593f42d8d388b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003847", "prompt": "Calculate: 2 / (-2) / 76 - (-1)", "solution_steps": ["Divide: 2 / (-2) = -1", "Divide: -1 / 76 = -1/76", "Subtract: -1/76 - (-1) = 75/76"], "final_answer": "75/76", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-2) / 76 - (-1)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -2, \"c\": 76, \"d\": -1}", "seed": "13330848887404494643", "semantic_fingerprint": "sha256:32f36d1c50def8f7d32a3cb531c42199744030023c61b9f1537c664d8902bb22", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003848", "prompt": "Solve the equation 7(x + 67) = -4(x - 46) + 4 for x.", "solution_steps": ["Expand: 7x + 469 = -4(x - 46) + 4", "Expand: 7x + 469 = -4x + 184 + 4", "Combine constants: 7x + 469 = -4x + 188", "Add 4x to both sides: 11x + 469 = 188", "Subtract 469 from both sides: 11x = -281", "Divide both sides by 11: x = -281/11"], "final_answer": "-281/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 67) = -4(x - 46) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 67, \"c\": -4, \"d\": 46, \"e\": 4}", "seed": "12323347456838392976", "semantic_fingerprint": "sha256:6fdf0179f1d597c61e6a95a383ad8fbf1dedfc8bfcfc4c5f702a802df9375c48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003849", "prompt": "Solve for x: -4(x - 78) - 6 = x + 246", "solution_steps": ["Expand: -4x + 312 - 6 = x + 246", "Combine constants: -4x + 306 = x + 246", "Subtract x from both sides: -5x + 306 = 246", "Subtract 306 from both sides: -5x = -60", "Divide both sides by -5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 78) - 6 = x + 246", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 78, \"c\": 6, \"e\": 246, \"x\": 12}", "seed": "9063219667670105074", "semantic_fingerprint": "sha256:67b1d062612cf5343946b5a4740596bd2c54cf0bf2af132e44abe5c2b272e1b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003850", "prompt": "Find x: 2(x + 6) + 4 = x + 29", "solution_steps": ["Expand: 2x + 12 + 4 = x + 29", "Combine constants: 2x + 16 = x + 29", "Subtract x from both sides: x + 16 = 29", "Subtract 16 from both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 6) + 4 = x + 29", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 4, \"e\": 29, \"x\": 13}", "seed": "8045978164141201273", "semantic_fingerprint": "sha256:7283ca91a460578d47509df78c4a5726234e0b412ebcfd6b97cbe4f52ec250e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003851", "prompt": "What is (-4 / (-590) + (-4 + 317)) / 72?", "solution_steps": ["Divide: -4 / (-590) = 2/295", "Add: -4 + 317 = 313", "Add: 2/295 + 313 = 92337/295", "Divide: (92337/295) / 72 = 30779/7080"], "final_answer": "30779/7080", "answer_type": "rational", "kind": "expression", "math_text": "(-4 / (-590) + (-4 + 317)) / 72", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -590, \"c\": -4, \"d\": 317, \"e\": 72}", "seed": "8480779449625426780", "semantic_fingerprint": "sha256:01da1c25c86f39193e05504f408201891b5ae808e8f5ef1258b8e1d307620cbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003852", "prompt": "Calculate: 668 * 26 / (860 - 78 - (-610 - (-35)))", "solution_steps": ["Multiply: 668 * 26 = 17368", "Subtract: 860 - 78 = 782", "Subtract: -610 - (-35) = -575", "Subtract: 782 - (-575) = 1357", "Divide: 17368 / 1357 = 17368/1357"], "final_answer": "17368/1357", "answer_type": "rational", "kind": "expression", "math_text": "668 * 26 / (860 - 78 - (-610 - (-35)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 668, \"b\": 26, \"c\": 860, \"d\": 78, \"e\": -610, \"f\": -35}", "seed": "11550238901396609591", "semantic_fingerprint": "sha256:93f875516d558b703a348d8f80c246a50c46037033021070ec1164a382a0ea56", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003853", "prompt": "What is -44 * (4 / 988) * (-4 - (-6))?", "solution_steps": ["Divide: 4 / 988 = 1/247", "Multiply: -44 * (1/247) = -44/247", "Subtract: -4 - (-6) = 2", "Multiply: (-44/247) * 2 = -88/247"], "final_answer": "-88/247", "answer_type": "rational", "kind": "expression", "math_text": "-44 * (4 / 988) * (-4 - (-6))", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 4, \"c\": 988, \"d\": -4, \"e\": -6}", "seed": "4233340282431527796", "semantic_fingerprint": "sha256:c06eb8915474d45ae8dde573fcfc98ad28a2b0e53a4304772c2e36cdad276e3a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003854", "prompt": "Find x: 10x = 2(x + 44) - 8", "solution_steps": ["Expand: 10x = 2x + 88 - 8", "Combine constants: 10x = 2x + 80", "Subtract 2x from both sides: 8x = 80", "Divide both sides by 8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 2(x + 44) - 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 44, \"e\": -8, \"x\": 10}", "seed": "14072383997228504968", "semantic_fingerprint": "sha256:cbb7432521016f6773280ae02477bd99a2eedfcf38841f10b5010b373c796df6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003855", "prompt": "Evaluate: (-61 + (-54)) / 5 + (-521)", "solution_steps": ["Add: -61 + (-54) = -115", "Divide: -115 / 5 = -23", "Add: -23 + (-521) = -544"], "final_answer": "-544", "answer_type": "integer", "kind": "expression", "math_text": "(-61 + (-54)) / 5 + (-521)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -54, \"c\": 5, \"d\": -521}", "seed": "13084299576962081151", "semantic_fingerprint": "sha256:4ecf63f1aa5c81f154cb1d05715d7010b957f729bbf22bb4eaac4b1e5f76db87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003856", "prompt": "What is -904 / 321 * (19 / (-27))?", "solution_steps": ["Divide: -904 / 321 = -904/321", "Divide: 19 / (-27) = -19/27", "Multiply: (-904/321) * (-19/27) = 17176/8667"], "final_answer": "17176/8667", "answer_type": "rational", "kind": "expression", "math_text": "-904 / 321 * (19 / (-27))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -904, \"b\": 321, \"c\": 19, \"d\": -27}", "seed": "5870327307602810673", "semantic_fingerprint": "sha256:8dd110e7ad93e27e7281e5f2d4def5597921afcb8428d52ebcaa4d1ed832fb20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003857", "prompt": "What is 59 / (-7 * (-67 / (-641 - 7)))?", "solution_steps": ["Subtract: -641 - 7 = -648", "Divide: -67 / (-648) = 67/648", "Multiply: -7 * (67/648) = -469/648", "Divide: 59 / (-469/648) = -38232/469"], "final_answer": "-38232/469", "answer_type": "rational", "kind": "expression", "math_text": "59 / (-7 * (-67 / (-641 - 7)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -7, \"c\": -67, \"d\": -641, \"e\": 7}", "seed": "12773192494239621822", "semantic_fingerprint": "sha256:e9bb472778583f47a301b45b70c66c9866dc5ecb1e50d477ecf0ad14639e7bdd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003858", "prompt": "What is -8 - 9 - (-9 - (-11 * (-90) + 6))?", "solution_steps": ["Subtract: -8 - 9 = -17", "Multiply: -11 * (-90) = 990", "Add: 990 + 6 = 996", "Subtract: -9 - 996 = -1005", "Subtract: -17 - (-1005) = 988"], "final_answer": "988", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 9 - (-9 - (-11 * (-90) + 6))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- n (+ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": -9, \"d\": -11, \"e\": -90, \"f\": 6}", "seed": "15395059446279258279", "semantic_fingerprint": "sha256:4cfada2a1f8c640ef46c4723b80ef6aef82638b01e6166d73aca5d38934539fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003859", "prompt": "Solve the equation 3x = -4(x + 9) + 675 for x.", "solution_steps": ["Expand: 3x = -4x - 36 + 675", "Combine constants: 3x = -4x + 639", "Add 4x to both sides: 7x = 639", "Divide both sides by 7: x = 639/7"], "final_answer": "639/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -4(x + 9) + 675", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -4, \"c\": 9, \"d\": 675}", "seed": "12862790678691142467", "semantic_fingerprint": "sha256:8b7d6c29380e5f6fdc6bf1a12d3efe94216d2118dba2907f2adafbe9d4115d21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003860", "prompt": "Compute: -8 + (30 - (-63 + 50))", "solution_steps": ["Add: -63 + 50 = -13", "Subtract: 30 - (-13) = 43", "Add: -8 + 43 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (30 - (-63 + 50))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 30, \"c\": -63, \"d\": 50}", "seed": "17142409969496375680", "semantic_fingerprint": "sha256:b2c973feb20f9f6251f3fa6f592d80043a61973230e9c2c1efbfe7c4d467b3d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003861", "prompt": "What value of x satisfies 7x - 68 = -4(x - 5)?", "solution_steps": ["Expand: 7x - 68 = -4x + 20", "Add 4x to both sides: 11x - 68 = 20", "Add 68 to both sides: 11x = 88", "Divide both sides by 11: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 68 = -4(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -4, \"c\": 5, \"e\": -68, \"x\": 8}", "seed": "13826846991464961071", "semantic_fingerprint": "sha256:6015b19182f02b86f6cde0ad953d6a3f16be50fcc494135acad4b71c65a3f13b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003862", "prompt": "What is -78 - (52 - (-7)) - (-51 + (-74))?", "solution_steps": ["Subtract: 52 - (-7) = 59", "Subtract: -78 - 59 = -137", "Add: -51 + (-74) = -125", "Subtract: -137 - (-125) = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-78 - (52 - (-7)) - (-51 + (-74))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 52, \"c\": -7, \"d\": -51, \"e\": -74}", "seed": "4255641884333921131", "semantic_fingerprint": "sha256:f0815a8825d4921a947d126ffa82ee6b784c63af56e11fa0a3f615445077745d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003863", "prompt": "What is -76 / (-39 / (-72)) + 69?", "solution_steps": ["Divide: -39 / (-72) = 13/24", "Divide: -76 / (13/24) = -1824/13", "Add: -1824/13 + 69 = -927/13"], "final_answer": "-927/13", "answer_type": "rational", "kind": "expression", "math_text": "-76 / (-39 / (-72)) + 69", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -39, \"c\": -72, \"d\": 69}", "seed": "18223985164543674985", "semantic_fingerprint": "sha256:2327e04a996ece8c49abc679f9f21c0ef4d0cf0c00adac95f363c3969bd7bd8a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003864", "prompt": "What value of x satisfies -10(x + 67) + 980 = x + 354?", "solution_steps": ["Expand: -10x - 670 + 980 = x + 354", "Combine constants: -10x + 310 = x + 354", "Subtract x from both sides: -11x + 310 = 354", "Subtract 310 from both sides: -11x = 44", "Divide both sides by -11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 67) + 980 = x + 354", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 67, \"c\": 980, \"e\": 354, \"x\": -4}", "seed": "16600529340550827195", "semantic_fingerprint": "sha256:265094cc6ccc292132a768bcf936d9ef6e567335b44a3750ebcf5048f3f44002", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003865", "prompt": "What value of x satisfies 8(x + 9) + 82 = x + 154?", "solution_steps": ["Expand: 8x + 72 + 82 = x + 154", "Combine constants: 8x + 154 = x + 154", "Subtract x from both sides: 7x + 154 = 154", "Subtract 154 from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 9) + 82 = x + 154", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 82, \"e\": 154, \"x\": 0}", "seed": "12472081350506921301", "semantic_fingerprint": "sha256:b2cef166991cb10ffb4959de6353c2b489217a7b82e83142fff600736eddef31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003866", "prompt": "Compute: -554 / 5 / (-372) - (-22)", "solution_steps": ["Divide: -554 / 5 = -554/5", "Divide: (-554/5) / (-372) = 277/930", "Subtract: 277/930 - (-22) = 20737/930"], "final_answer": "20737/930", "answer_type": "rational", "kind": "expression", "math_text": "-554 / 5 / (-372) - (-22)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -554, \"b\": 5, \"c\": -372, \"d\": -22}", "seed": "11737360750753664732", "semantic_fingerprint": "sha256:010f07042f23afc6b8e9a2e3735bb515fc1c4dee43b323d9bc5b1c565167ceec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003867", "prompt": "Find x: -9x = 11(x + 9) + 63", "solution_steps": ["Expand: -9x = 11x + 99 + 63", "Combine constants: -9x = 11x + 162", "Subtract 11x from both sides: -20x = 162", "Divide both sides by -20: x = -81/10"], "final_answer": "-81/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = 11(x + 9) + 63", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 11, \"c\": 9, \"d\": 63}", "seed": "9243230070006162712", "semantic_fingerprint": "sha256:42cc6247f7c6929c3619b6217b9a9f3b47eb8da5f6ca8df96bcb2eede5e68a93", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003868", "prompt": "Evaluate: (-18 + 502) / (0 + 4)", "solution_steps": ["Add: -18 + 502 = 484", "Add: 0 + 4 = 4", "Divide: 484 / 4 = 121"], "final_answer": "121", "answer_type": "integer", "kind": "expression", "math_text": "(-18 + 502) / (0 + 4)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 502, \"c\": 0, \"d\": 4}", "seed": "2164363561703736725", "semantic_fingerprint": "sha256:7d791b9a633545d945ace1b23397270befd90eabb167185805543ab6130d9d7f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003869", "prompt": "What value of x satisfies 11(x + 29) + 80 = x + 389?", "solution_steps": ["Expand: 11x + 319 + 80 = x + 389", "Combine constants: 11x + 399 = x + 389", "Subtract x from both sides: 10x + 399 = 389", "Subtract 399 from both sides: 10x = -10", "Divide both sides by 10: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 29) + 80 = x + 389", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 29, \"c\": 80, \"e\": 389, \"x\": -1}", "seed": "13312600623446015884", "semantic_fingerprint": "sha256:0a9726763b9aa98b85d198482721773e9cddfcc6e77ce3b79fecb3f1f8959ba1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003870", "prompt": "Evaluate: -7 - 26 - (-67 + 8 + 77) / (-5)", "solution_steps": ["Subtract: -7 - 26 = -33", "Add: -67 + 8 = -59", "Add: -59 + 77 = 18", "Divide: 18 / (-5) = -18/5", "Subtract: -33 - (-18/5) = -147/5"], "final_answer": "-147/5", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 26 - (-67 + 8 + 77) / (-5)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 26, \"c\": -67, \"d\": 8, \"e\": 77, \"f\": -5}", "seed": "17944478400803427407", "semantic_fingerprint": "sha256:d66e9e2f22c910c6f69ee8e860c83073c203585f753fcc808a83614593922e41", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003871", "prompt": "Evaluate: -73 - 40 / (1 / (3 + 71))", "solution_steps": ["Add: 3 + 71 = 74", "Divide: 1 / 74 = 1/74", "Divide: 40 / (1/74) = 2960", "Subtract: -73 - 2960 = -3033"], "final_answer": "-3033", "answer_type": "integer", "kind": "expression", "math_text": "-73 - 40 / (1 / (3 + 71))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 40, \"c\": 1, \"d\": 3, \"e\": 71}", "seed": "4979826703582854165", "semantic_fingerprint": "sha256:28912e8c8796342dbbd854d91d1767e85c4d4b01486c316a5ca275a166180529", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003872", "prompt": "Calculate: (-6 - 0 - (-43)) * 50", "solution_steps": ["Subtract: -6 - 0 = -6", "Subtract: -6 - (-43) = 37", "Multiply: 37 * 50 = 1850"], "final_answer": "1850", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - 0 - (-43)) * 50", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -43, \"d\": 50}", "seed": "7358176776258049483", "semantic_fingerprint": "sha256:72c16698cc4ab81236ab4509f2d2fb1a30397f3d06b35d17769e3e53af277a9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003873", "prompt": "Find x: 6(x + 34) - 120 = x + 89", "solution_steps": ["Expand: 6x + 204 - 120 = x + 89", "Combine constants: 6x + 84 = x + 89", "Subtract x from both sides: 5x + 84 = 89", "Subtract 84 from both sides: 5x = 5", "Divide both sides by 5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 34) - 120 = x + 89", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 34, \"c\": 120, \"e\": 89, \"x\": 1}", "seed": "6591741406603480814", "semantic_fingerprint": "sha256:75c82917860b7b6216e5a4b644446d349c1145ee9eb1850dfbdaca22d4614f19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003874", "prompt": "Solve the equation 10(x + 6) = 11(x - 80) + 928 for x.", "solution_steps": ["Expand: 10x + 60 = 11(x - 80) + 928", "Expand: 10x + 60 = 11x - 880 + 928", "Combine constants: 10x + 60 = 11x + 48", "Subtract 11x from both sides: -x + 60 = 48", "Subtract 60 from both sides: -x = -12", "Divide both sides by -1: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) = 11(x - 80) + 928", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 11, \"d\": 80, \"f\": 928, \"x\": 12}", "seed": "15157946040731400853", "semantic_fingerprint": "sha256:5330e9a54c2d87495bea89562f719501708fa6455c0e6a71801b34bfc178be40", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003875", "prompt": "Solve the equation -4x = 10(x + 39) - 43 for x.", "solution_steps": ["Expand: -4x = 10x + 390 - 43", "Combine constants: -4x = 10x + 347", "Subtract 10x from both sides: -14x = 347", "Divide both sides by -14: x = -347/14"], "final_answer": "-347/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 10(x + 39) - 43", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 10, \"c\": 39, \"d\": 43}", "seed": "16768614967112328339", "semantic_fingerprint": "sha256:f3c1dd5d100ae20a7870eafe59232097af3d97dc197da008bf198a5c9c285548", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003876", "prompt": "Solve for x: 6(x + 86) + 326 = x + 862", "solution_steps": ["Expand: 6x + 516 + 326 = x + 862", "Combine constants: 6x + 842 = x + 862", "Subtract x from both sides: 5x + 842 = 862", "Subtract 842 from both sides: 5x = 20", "Divide both sides by 5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 86) + 326 = x + 862", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 86, \"c\": 326, \"e\": 862, \"x\": 4}", "seed": "936448601334610380", "semantic_fingerprint": "sha256:916fe9e8d8c43d5b907d406dbcf3d6ab4a83e43450201634bb34ecf1f048b6b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003877", "prompt": "What value of x satisfies 10(x + 59) - 44 = x + 636?", "solution_steps": ["Expand: 10x + 590 - 44 = x + 636", "Combine constants: 10x + 546 = x + 636", "Subtract x from both sides: 9x + 546 = 636", "Subtract 546 from both sides: 9x = 90", "Divide both sides by 9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 59) - 44 = x + 636", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 59, \"c\": 44, \"e\": 636, \"x\": 10}", "seed": "3950176920558688119", "semantic_fingerprint": "sha256:7a483bfcdf2f8a2b75592911f544c47d828a0b0bd1be2150baa4c9ef167207ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003878", "prompt": "Solve the equation 5(x + 3) + 241 = x + 216 for x.", "solution_steps": ["Expand: 5x + 15 + 241 = x + 216", "Combine constants: 5x + 256 = x + 216", "Subtract x from both sides: 4x + 256 = 216", "Subtract 256 from both sides: 4x = -40", "Divide both sides by 4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) + 241 = x + 216", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 241, \"e\": 216, \"x\": -10}", "seed": "1487818775998469390", "semantic_fingerprint": "sha256:f5799f5d398b61042162a838431f7edb41e0ac028512115dc5c54820686e3019", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003879", "prompt": "Calculate: (-744 + (-1)) * (-87) - (-89 - 813)", "solution_steps": ["Add: -744 + (-1) = -745", "Multiply: -745 * (-87) = 64815", "Subtract: -89 - 813 = -902", "Subtract: 64815 - (-902) = 65717"], "final_answer": "65717", "answer_type": "integer", "kind": "expression", "math_text": "(-744 + (-1)) * (-87) - (-89 - 813)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -744, \"b\": -1, \"c\": -87, \"d\": -89, \"e\": 813}", "seed": "17196289711519273636", "semantic_fingerprint": "sha256:ab9b78da5ffacdd04557778a7c4fd01b3a6e9184b89a33bcd733786745c1d4f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003880", "prompt": "Calculate: (12 + (-2)) * 5 - (-55 - (-59))", "solution_steps": ["Add: 12 + (-2) = 10", "Multiply: 10 * 5 = 50", "Subtract: -55 - (-59) = 4", "Subtract: 50 - 4 = 46"], "final_answer": "46", "answer_type": "integer", "kind": "expression", "math_text": "(12 + (-2)) * 5 - (-55 - (-59))", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -2, \"c\": 5, \"d\": -55, \"e\": -59}", "seed": "5771220152473350510", "semantic_fingerprint": "sha256:fcf0c4c5cb5a6d9c879ba31c277d79a777c63e17fa5d552f1f59ac66172f7e63", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003881", "prompt": "Calculate: -1 + (-37 - 99) + 448", "solution_steps": ["Subtract: -37 - 99 = -136", "Add: -1 + (-136) = -137", "Add: -137 + 448 = 311"], "final_answer": "311", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-37 - 99) + 448", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -37, \"c\": 99, \"d\": 448}", "seed": "15201700885370370661", "semantic_fingerprint": "sha256:0a0377392c56879cb2df4572620344fdd82a1487acd1fc69f300196a35e0c1bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003882", "prompt": "Solve for x: 7(x + 76) - 30 = x + 556", "solution_steps": ["Expand: 7x + 532 - 30 = x + 556", "Combine constants: 7x + 502 = x + 556", "Subtract x from both sides: 6x + 502 = 556", "Subtract 502 from both sides: 6x = 54", "Divide both sides by 6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 76) - 30 = x + 556", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 76, \"c\": 30, \"e\": 556, \"x\": 9}", "seed": "18167884528345983135", "semantic_fingerprint": "sha256:e6f3da2e848a5b9fab1e559e18f619a52e9ec0c00901f6222f8fd0063af65c68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003883", "prompt": "Find x: 2(x + 94) - 4 = x + 171", "solution_steps": ["Expand: 2x + 188 - 4 = x + 171", "Combine constants: 2x + 184 = x + 171", "Subtract x from both sides: x + 184 = 171", "Subtract 184 from both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 94) - 4 = x + 171", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 94, \"c\": 4, \"e\": 171, \"x\": -13}", "seed": "2334599906866966610", "semantic_fingerprint": "sha256:1fa7cf88897e8c0edf4ab2299e7902fba55d9c89df32235090ad8972972d8889", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003884", "prompt": "Calculate: 12 + (5 / (-915 * (-17)) - 47)", "solution_steps": ["Multiply: -915 * (-17) = 15555", "Divide: 5 / 15555 = 1/3111", "Subtract: 1/3111 - 47 = -146216/3111", "Add: 12 + (-146216/3111) = -108884/3111"], "final_answer": "-108884/3111", "answer_type": "rational", "kind": "expression", "math_text": "12 + (5 / (-915 * (-17)) - 47)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": -915, \"d\": -17, \"e\": 47}", "seed": "5221882892469857895", "semantic_fingerprint": "sha256:c13ee358aae7de0269ee8e10d1fc6b4b0de8d8d747d5469540faa74f0c6e7ac5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003885", "prompt": "Evaluate: 7 - 88 / (-5) - 30", "solution_steps": ["Divide: 88 / (-5) = -88/5", "Subtract: 7 - (-88/5) = 123/5", "Subtract: 123/5 - 30 = -27/5"], "final_answer": "-27/5", "answer_type": "rational", "kind": "expression", "math_text": "7 - 88 / (-5) - 30", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 88, \"c\": -5, \"d\": 30}", "seed": "2613336253380814770", "semantic_fingerprint": "sha256:337cb1e6906a889e559633a410f3df27d7592ee2dbc961f64f24240dc043731a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003886", "prompt": "Compute: 31 * (0 + 9 + 0 + 3) * 18", "solution_steps": ["Add: 0 + 9 = 9", "Add: 9 + 0 = 9", "Add: 9 + 3 = 12", "Multiply: 31 * 12 = 372", "Multiply: 372 * 18 = 6696"], "final_answer": "6696", "answer_type": "integer", "kind": "expression", "math_text": "31 * (0 + 9 + 0 + 3) * 18", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ (+ (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 0, \"c\": 9, \"d\": 0, \"e\": 3, \"f\": 18}", "seed": "7465379171716490236", "semantic_fingerprint": "sha256:d7cef55b81111afd2eecaad8a4b8334c090021136cf87120b66615b02240c44b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003887", "prompt": "What is -3 + (-701) - (-76 + (-5) / 881)?", "solution_steps": ["Add: -3 + (-701) = -704", "Divide: -5 / 881 = -5/881", "Add: -76 + (-5/881) = -66961/881", "Subtract: -704 - (-66961/881) = -553263/881"], "final_answer": "-553263/881", "answer_type": "rational", "kind": "expression", "math_text": "-3 + (-701) - (-76 + (-5) / 881)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -701, \"c\": -76, \"d\": -5, \"e\": 881}", "seed": "11950907665640750050", "semantic_fingerprint": "sha256:6cd9e7bdd56865abf2834cc564b91c35918276c25664a9760468d70ac3bbcc84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003888", "prompt": "Compute: 778 - (-938 - (-46)) * (60 - (-783) - 5)", "solution_steps": ["Subtract: -938 - (-46) = -892", "Subtract: 60 - (-783) = 843", "Subtract: 843 - 5 = 838", "Multiply: -892 * 838 = -747496", "Subtract: 778 - (-747496) = 748274"], "final_answer": "748274", "answer_type": "integer", "kind": "expression", "math_text": "778 - (-938 - (-46)) * (60 - (-783) - 5)", "variable": null, "family": "expression_5op", "shape": "(- n (* (- n n) (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 778, \"b\": -938, \"c\": -46, \"d\": 60, \"e\": -783, \"f\": 5}", "seed": "7263159635270782586", "semantic_fingerprint": "sha256:0db24891594b133f776b2395ed37e0a719aa9c085d52d36d35c05fe9f53a34e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003889", "prompt": "Solve for x: -6(x + 5) + 212 = x + 175", "solution_steps": ["Expand: -6x - 30 + 212 = x + 175", "Combine constants: -6x + 182 = x + 175", "Subtract x from both sides: -7x + 182 = 175", "Subtract 182 from both sides: -7x = -7", "Divide both sides by -7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 5) + 212 = x + 175", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": 212, \"e\": 175, \"x\": 1}", "seed": "747656358175636418", "semantic_fingerprint": "sha256:924483966f33c10051847a1059020f18d83a3175d430baff971ea0b20e98ae4e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003890", "prompt": "What is -7 * (-87 * (894 - 0 / 78 + 0))?", "solution_steps": ["Divide: 0 / 78 = 0", "Subtract: 894 - 0 = 894", "Add: 894 + 0 = 894", "Multiply: -87 * 894 = -77778", "Multiply: -7 * (-77778) = 544446"], "final_answer": "544446", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-87 * (894 - 0 / 78 + 0))", "variable": null, "family": "expression_5op", "shape": "(* n (* n (+ (- n (/ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -87, \"c\": 894, \"d\": 0, \"e\": 78, \"f\": 0}", "seed": "13499898206374987711", "semantic_fingerprint": "sha256:de66def265f55e241705f3879519162dc455cbbe980f7014e058d5751871a077", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003891", "prompt": "Evaluate: -6 / (-730) * (94 / 69)", "solution_steps": ["Divide: -6 / (-730) = 3/365", "Divide: 94 / 69 = 94/69", "Multiply: (3/365) * (94/69) = 94/8395"], "final_answer": "94/8395", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-730) * (94 / 69)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -730, \"c\": 94, \"d\": 69}", "seed": "11604787124852456139", "semantic_fingerprint": "sha256:01b13c353937841469fe809a79f616fe49948064d917927f710c7ebbbc1607d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003892", "prompt": "What is -9 + (87 - 6) + (-9)?", "solution_steps": ["Subtract: 87 - 6 = 81", "Add: -9 + 81 = 72", "Add: 72 + (-9) = 63"], "final_answer": "63", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (87 - 6) + (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 87, \"c\": 6, \"d\": -9}", "seed": "14127033349761178806", "semantic_fingerprint": "sha256:d9b596b4987978d16901ca63e29df2c97c67dd49228ce7569eb69f4c7d4b16c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003893", "prompt": "What is 52 * (-1 - (78 + 7) + (-2))?", "solution_steps": ["Add: 78 + 7 = 85", "Subtract: -1 - 85 = -86", "Add: -86 + (-2) = -88", "Multiply: 52 * (-88) = -4576"], "final_answer": "-4576", "answer_type": "integer", "kind": "expression", "math_text": "52 * (-1 - (78 + 7) + (-2))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -1, \"c\": 78, \"d\": 7, \"e\": -2}", "seed": "8656632357744305931", "semantic_fingerprint": "sha256:d94af5238529e6e2b979846ed8b5393f571cae14554338a3ffe92fbee16205f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003894", "prompt": "Compute: (-84 + (-33 + 18 - (-7))) / (-38)", "solution_steps": ["Add: -33 + 18 = -15", "Subtract: -15 - (-7) = -8", "Add: -84 + (-8) = -92", "Divide: -92 / (-38) = 46/19"], "final_answer": "46/19", "answer_type": "rational", "kind": "expression", "math_text": "(-84 + (-33 + 18 - (-7))) / (-38)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -33, \"c\": 18, \"d\": -7, \"e\": -38}", "seed": "10471369966384217139", "semantic_fingerprint": "sha256:df59dc166d737c429cd56c69d3747ef234aaed549e2a6ded706a4d270b0f4992", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003895", "prompt": "Evaluate: 3 + (-786) / ((-83 + (-322)) * 81 / (-3))", "solution_steps": ["Add: -83 + (-322) = -405", "Multiply: -405 * 81 = -32805", "Divide: -32805 / (-3) = 10935", "Divide: -786 / 10935 = -262/3645", "Add: 3 + (-262/3645) = 10673/3645"], "final_answer": "10673/3645", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-786) / ((-83 + (-322)) * 81 / (-3))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (/ (* (+ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -786, \"c\": -83, \"d\": -322, \"e\": 81, \"f\": -3}", "seed": "14498808076892527131", "semantic_fingerprint": "sha256:7fed443640f25b6cd85589e2a83daae7878a05649061358931527bca39f49798", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003896", "prompt": "Calculate: -98 - (23 + 11) / 3", "solution_steps": ["Add: 23 + 11 = 34", "Divide: 34 / 3 = 34/3", "Subtract: -98 - 34/3 = -328/3"], "final_answer": "-328/3", "answer_type": "rational", "kind": "expression", "math_text": "-98 - (23 + 11) / 3", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 23, \"c\": 11, \"d\": 3}", "seed": "7561050458252818461", "semantic_fingerprint": "sha256:fa7907196f3e87bd3e85ed404c649de62517add96f18cc4196ebc9bd48f3e5f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003897", "prompt": "Solve the equation 12x - 5 = 4x - 165 for x.", "solution_steps": ["Subtract 4x from both sides: 8x - 5 = -165", "Add 5 to both sides: 8x = -160", "Divide both sides by 8: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 5 = 4x - 165", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 4, \"e\": -165, \"x\": -20}", "seed": "15127109227710404983", "semantic_fingerprint": "sha256:0ad4851d95ef0c181a2e10e16d94366f5cda7581f65987d09da9b26285f2e749", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003898", "prompt": "Solve the equation 10(x - 16) + 227 = 9(x + 8) for x.", "solution_steps": ["Expand: 10x - 160 + 227 = 9(x + 8)", "Expand: 10x - 160 + 227 = 9x + 72", "Combine constants: 10x + 67 = 9x + 72", "Subtract 9x from both sides: x + 67 = 72", "Subtract 67 from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 16) + 227 = 9(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 16, \"c\": 9, \"d\": 8, \"f\": 227, \"x\": 5}", "seed": "385310970509658000", "semantic_fingerprint": "sha256:6a6866e8b63385524261e63cf961634f799832d86f3b4b20631de8dd532ed817", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003899", "prompt": "Calculate: (-8 + (-8)) / 98 + (-848)", "solution_steps": ["Add: -8 + (-8) = -16", "Divide: -16 / 98 = -8/49", "Add: -8/49 + (-848) = -41560/49"], "final_answer": "-41560/49", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-8)) / 98 + (-848)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -8, \"c\": 98, \"d\": -848}", "seed": "6443183934830194233", "semantic_fingerprint": "sha256:c468f773dda14c660386e48544b62ecefa1428330eeb67d898884863125c5602", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003900", "prompt": "Calculate: -951 + 99 + (-61 / 74 - (-4))", "solution_steps": ["Add: -951 + 99 = -852", "Divide: -61 / 74 = -61/74", "Subtract: -61/74 - (-4) = 235/74", "Add: -852 + 235/74 = -62813/74"], "final_answer": "-62813/74", "answer_type": "rational", "kind": "expression", "math_text": "-951 + 99 + (-61 / 74 - (-4))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -951, \"b\": 99, \"c\": -61, \"d\": 74, \"e\": -4}", "seed": "2857094415923409109", "semantic_fingerprint": "sha256:ad0adbb28e864d231e008de0e60d1bb64c97b22e90045c488487f0d7d581cda8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003901", "prompt": "Find x: -10(x - 48) + 35 = 2(x + 98)", "solution_steps": ["Expand: -10x + 480 + 35 = 2(x + 98)", "Expand: -10x + 480 + 35 = 2x + 196", "Combine constants: -10x + 515 = 2x + 196", "Subtract 2x from both sides: -12x + 515 = 196", "Subtract 515 from both sides: -12x = -319", "Divide both sides by -12: x = 319/12"], "final_answer": "319/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 48) + 35 = 2(x + 98)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 48, \"c\": 35, \"d\": 2, \"e\": 98}", "seed": "4613094088058456331", "semantic_fingerprint": "sha256:3a88793ca30d2eaf8d2f106bbd35b28012f85e6991562535e95cde2e13c92d66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003902", "prompt": "Calculate: -334 / (8 * 37 + (-50 + 243 - 73))", "solution_steps": ["Multiply: 8 * 37 = 296", "Add: -50 + 243 = 193", "Subtract: 193 - 73 = 120", "Add: 296 + 120 = 416", "Divide: -334 / 416 = -167/208"], "final_answer": "-167/208", "answer_type": "rational", "kind": "expression", "math_text": "-334 / (8 * 37 + (-50 + 243 - 73))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (* n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -334, \"b\": 8, \"c\": 37, \"d\": -50, \"e\": 243, \"f\": 73}", "seed": "8707313356677573756", "semantic_fingerprint": "sha256:66c76ccdd236afa31dc388ed4e454cc8251131977ce55bdb324b9dd90a148d3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003903", "prompt": "What is -4 / (-1) * (-67 / 1)?", "solution_steps": ["Divide: -4 / (-1) = 4", "Divide: -67 / 1 = -67", "Multiply: 4 * (-67) = -268"], "final_answer": "-268", "answer_type": "integer", "kind": "expression", "math_text": "-4 / (-1) * (-67 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -1, \"c\": -67, \"d\": 1}", "seed": "16314566503676659416", "semantic_fingerprint": "sha256:c3a706983999f7628d1ff5facc13b5bfb9e0744caebf3d91435118096dd5f0c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003904", "prompt": "What is 0 * 9 - (-91 * (-7 * (-90)) - 0)?", "solution_steps": ["Multiply: 0 * 9 = 0", "Multiply: -7 * (-90) = 630", "Multiply: -91 * 630 = -57330", "Subtract: -57330 - 0 = -57330", "Subtract: 0 - (-57330) = 57330"], "final_answer": "57330", "answer_type": "integer", "kind": "expression", "math_text": "0 * 9 - (-91 * (-7 * (-90)) - 0)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (* n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": -91, \"d\": -7, \"e\": -90, \"f\": 0}", "seed": "6865247176667369787", "semantic_fingerprint": "sha256:e6d3c8c47e78da68edc0f757a986284aefd875678d37064239a35502149185fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003905", "prompt": "Solve for x: 5(x + 31) + 6 = x + 177", "solution_steps": ["Expand: 5x + 155 + 6 = x + 177", "Combine constants: 5x + 161 = x + 177", "Subtract x from both sides: 4x + 161 = 177", "Subtract 161 from both sides: 4x = 16", "Divide both sides by 4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 31) + 6 = x + 177", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 31, \"c\": 6, \"e\": 177, \"x\": 4}", "seed": "10525533208822328636", "semantic_fingerprint": "sha256:22e5428530bd78557d0d1e14927198b47b01e3883b5bedc87bcaf851f360898c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003906", "prompt": "Solve the equation 11x = 9(x + 9) - 79 for x.", "solution_steps": ["Expand: 11x = 9x + 81 - 79", "Combine constants: 11x = 9x + 2", "Subtract 9x from both sides: 2x = 2", "Divide both sides by 2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 9(x + 9) - 79", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 9, \"e\": -79, \"x\": 1}", "seed": "13538965629575761441", "semantic_fingerprint": "sha256:b42313741a60c6fae10f236a304c0c6418bc35ed2453cdae4eaffdee15a3bdd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003907", "prompt": "What value of x satisfies -7(x - 2) + 284 = 6(x + 80)?", "solution_steps": ["Expand: -7x + 14 + 284 = 6(x + 80)", "Expand: -7x + 14 + 284 = 6x + 480", "Combine constants: -7x + 298 = 6x + 480", "Subtract 6x from both sides: -13x + 298 = 480", "Subtract 298 from both sides: -13x = 182", "Divide both sides by -13: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 2) + 284 = 6(x + 80)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 6, \"d\": 80, \"f\": 284, \"x\": -14}", "seed": "15868976211203337011", "semantic_fingerprint": "sha256:1febcfa40c0d00a99d315ba8726cc58808d668443806fdb7b68ceecadc76dacb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003908", "prompt": "Find x: 2x - 38 = 7x - 631", "solution_steps": ["Subtract 7x from both sides: -5x - 38 = -631", "Add 38 to both sides: -5x = -593", "Divide both sides by -5: x = 593/5"], "final_answer": "593/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 38 = 7x - 631", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 38, \"c\": 7, \"d\": 631}", "seed": "7873486205770755086", "semantic_fingerprint": "sha256:89f198de78f7be9098671e880b17c5e1b925892622447ffa16af55c63df40d50", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003909", "prompt": "Solve the equation 8(x + 7) - 5 = x + 72 for x.", "solution_steps": ["Expand: 8x + 56 - 5 = x + 72", "Combine constants: 8x + 51 = x + 72", "Subtract x from both sides: 7x + 51 = 72", "Subtract 51 from both sides: 7x = 21", "Divide both sides by 7: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 7) - 5 = x + 72", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 5, \"e\": 72, \"x\": 3}", "seed": "10493109852237341617", "semantic_fingerprint": "sha256:e8ab79718da8aadb6c6d8798d5321a8f7c45aad84606a2411f465ace54cb1eda", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003910", "prompt": "Evaluate: (9 - (532 - (-59))) / (48 - 0) * 12", "solution_steps": ["Subtract: 532 - (-59) = 591", "Subtract: 9 - 591 = -582", "Subtract: 48 - 0 = 48", "Divide: -582 / 48 = -97/8", "Multiply: (-97/8) * 12 = -291/2"], "final_answer": "-291/2", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (532 - (-59))) / (48 - 0) * 12", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n (- n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 532, \"c\": -59, \"d\": 48, \"e\": 0, \"f\": 12}", "seed": "8560248565821700979", "semantic_fingerprint": "sha256:0abaeb756313a5a442f7c695fb07c8a316fa1069d95c82ea5d96a79ff02f946b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003911", "prompt": "Evaluate: (39 + (-2)) / (-87 + (-33) + (-64) + (-486))", "solution_steps": ["Add: 39 + (-2) = 37", "Add: -87 + (-33) = -120", "Add: -120 + (-64) = -184", "Add: -184 + (-486) = -670", "Divide: 37 / (-670) = -37/670"], "final_answer": "-37/670", "answer_type": "rational", "kind": "expression", "math_text": "(39 + (-2)) / (-87 + (-33) + (-64) + (-486))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (+ (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -2, \"c\": -87, \"d\": -33, \"e\": -64, \"f\": -486}", "seed": "15615029175643707431", "semantic_fingerprint": "sha256:f749c66f7317083ca9255928a7edf83fcacc2ea704df1756fa4b5f9594157e86", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003912", "prompt": "Solve for x: 9(x + 50) + 8 = x + 402", "solution_steps": ["Expand: 9x + 450 + 8 = x + 402", "Combine constants: 9x + 458 = x + 402", "Subtract x from both sides: 8x + 458 = 402", "Subtract 458 from both sides: 8x = -56", "Divide both sides by 8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 50) + 8 = x + 402", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 50, \"c\": 8, \"e\": 402, \"x\": -7}", "seed": "32563151872847246", "semantic_fingerprint": "sha256:ccd5d45b2c909588f368ae2cb66e443ef052b4bfed2f020696afe380055e8b60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003913", "prompt": "Evaluate: (-384 - (-96)) / (9 + (-991 + 2)) - (-28)", "solution_steps": ["Subtract: -384 - (-96) = -288", "Add: -991 + 2 = -989", "Add: 9 + (-989) = -980", "Divide: -288 / (-980) = 72/245", "Subtract: 72/245 - (-28) = 6932/245"], "final_answer": "6932/245", "answer_type": "rational", "kind": "expression", "math_text": "(-384 - (-96)) / (9 + (-991 + 2)) - (-28)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -384, \"b\": -96, \"c\": 9, \"d\": -991, \"e\": 2, \"f\": -28}", "seed": "14332562929170027482", "semantic_fingerprint": "sha256:0f61ac0a3921e7f87ba391043dc00e7154456717fbcb79fcd8531e4cda26351b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003914", "prompt": "Solve for x: 8x = 7(x + 47) - 320", "solution_steps": ["Expand: 8x = 7x + 329 - 320", "Combine constants: 8x = 7x + 9", "Subtract 7x from both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 7(x + 47) - 320", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 47, \"e\": -320, \"x\": 9}", "seed": "15645859507004147063", "semantic_fingerprint": "sha256:4b435085a994802bd2ff8e9e627f38036754aeceaafb7ed38bece76e9e51f5aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003915", "prompt": "Solve the equation 4(x + 31) = 5(x - 7) + 143 for x.", "solution_steps": ["Expand: 4x + 124 = 5(x - 7) + 143", "Expand: 4x + 124 = 5x - 35 + 143", "Combine constants: 4x + 124 = 5x + 108", "Subtract 5x from both sides: -x + 124 = 108", "Subtract 124 from both sides: -x = -16", "Divide both sides by -1: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 31) = 5(x - 7) + 143", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 31, \"c\": 5, \"d\": 7, \"f\": 143, \"x\": 16}", "seed": "17425471289692232176", "semantic_fingerprint": "sha256:a43f762cf5845ef720a4910dfd4530109d1d2340266886555178ab5573f4609c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003916", "prompt": "Evaluate: -381 / (-8 + (57 + 250) + 1) - 58", "solution_steps": ["Add: 57 + 250 = 307", "Add: -8 + 307 = 299", "Add: 299 + 1 = 300", "Divide: -381 / 300 = -127/100", "Subtract: -127/100 - 58 = -5927/100"], "final_answer": "-5927/100", "answer_type": "rational", "kind": "expression", "math_text": "-381 / (-8 + (57 + 250) + 1) - 58", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ (+ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -381, \"b\": -8, \"c\": 57, \"d\": 250, \"e\": 1, \"f\": 58}", "seed": "13011089648871864221", "semantic_fingerprint": "sha256:595e90c34d7ef37f0374aee7f77c6164dfc25c42e0cb176cc59acb0d0fbe514f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003917", "prompt": "Calculate: 21 / (-103 * (9 + 0) / 47)", "solution_steps": ["Add: 9 + 0 = 9", "Multiply: -103 * 9 = -927", "Divide: -927 / 47 = -927/47", "Divide: 21 / (-927/47) = -329/309"], "final_answer": "-329/309", "answer_type": "rational", "kind": "expression", "math_text": "21 / (-103 * (9 + 0) / 47)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -103, \"c\": 9, \"d\": 0, \"e\": 47}", "seed": "15785971073798350101", "semantic_fingerprint": "sha256:62d06d90a6e20ecad0af815e6170dc76e500eb0a0a13c94b97a39ca2233e994d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003918", "prompt": "Compute: 86 * 1 + (856 - (-72))", "solution_steps": ["Multiply: 86 * 1 = 86", "Subtract: 856 - (-72) = 928", "Add: 86 + 928 = 1014"], "final_answer": "1014", "answer_type": "integer", "kind": "expression", "math_text": "86 * 1 + (856 - (-72))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 1, \"c\": 856, \"d\": -72}", "seed": "6334147540670120933", "semantic_fingerprint": "sha256:c9b8f9f36c0bcbd5a8dca6ece5216bbc6f70d5acd7d303c5998f4d5c521a474f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003919", "prompt": "Compute: 73 * 37 * (9 + (-1 + 4))", "solution_steps": ["Multiply: 73 * 37 = 2701", "Add: -1 + 4 = 3", "Add: 9 + 3 = 12", "Multiply: 2701 * 12 = 32412"], "final_answer": "32412", "answer_type": "integer", "kind": "expression", "math_text": "73 * 37 * (9 + (-1 + 4))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 37, \"c\": 9, \"d\": -1, \"e\": 4}", "seed": "856958821925882674", "semantic_fingerprint": "sha256:e21008db6347312f3b7e0d7996b32d2dbb02c861f5642bee3074d98ff349b830", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003920", "prompt": "Calculate: (90 + (-713) + 74) * (509 - 58)", "solution_steps": ["Add: 90 + (-713) = -623", "Add: -623 + 74 = -549", "Subtract: 509 - 58 = 451", "Multiply: -549 * 451 = -247599"], "final_answer": "-247599", "answer_type": "integer", "kind": "expression", "math_text": "(90 + (-713) + 74) * (509 - 58)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -713, \"c\": 74, \"d\": 509, \"e\": 58}", "seed": "9646166811489827560", "semantic_fingerprint": "sha256:922d57a391db8ba13501e5ff336845a9fc1cb5e0121f6f2fe902894025505a83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003921", "prompt": "Calculate: 0 - (-5) - (-66) * (311 + 57)", "solution_steps": ["Subtract: 0 - (-5) = 5", "Add: 311 + 57 = 368", "Multiply: -66 * 368 = -24288", "Subtract: 5 - (-24288) = 24293"], "final_answer": "24293", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-5) - (-66) * (311 + 57)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5, \"c\": -66, \"d\": 311, \"e\": 57}", "seed": "6640063464509290523", "semantic_fingerprint": "sha256:2765aa0008116b967c2e1b68e6b148585e07c28d842e6edb476423999da81613", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003922", "prompt": "What is (579 + 54) / (-13) + 67 * (-614)?", "solution_steps": ["Add: 579 + 54 = 633", "Divide: 633 / (-13) = -633/13", "Multiply: 67 * (-614) = -41138", "Add: -633/13 + (-41138) = -535427/13"], "final_answer": "-535427/13", "answer_type": "rational", "kind": "expression", "math_text": "(579 + 54) / (-13) + 67 * (-614)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 579, \"b\": 54, \"c\": -13, \"d\": 67, \"e\": -614}", "seed": "13220570122605807513", "semantic_fingerprint": "sha256:f5ccba191a1fc52f6bee52438241c94d186e57b3426349cb4bc044cb7c774880", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003923", "prompt": "Find x: 10x - 81 = 3(x - 95)", "solution_steps": ["Expand: 10x - 81 = 3x - 285", "Subtract 3x from both sides: 7x - 81 = -285", "Add 81 to both sides: 7x = -204", "Divide both sides by 7: x = -204/7"], "final_answer": "-204/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 81 = 3(x - 95)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 81, \"c\": 3, \"d\": 95}", "seed": "14622569145620519626", "semantic_fingerprint": "sha256:086fc5db60895c1eb00ca3b78ad0ad74f5c0f1a92452cee6b117ade15c30522d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003924", "prompt": "Calculate: (5 + 151) / (6 + (-206) / (4 - 32))", "solution_steps": ["Add: 5 + 151 = 156", "Subtract: 4 - 32 = -28", "Divide: -206 / (-28) = 103/14", "Add: 6 + 103/14 = 187/14", "Divide: 156 / (187/14) = 2184/187"], "final_answer": "2184/187", "answer_type": "rational", "kind": "expression", "math_text": "(5 + 151) / (6 + (-206) / (4 - 32))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (+ n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 151, \"c\": 6, \"d\": -206, \"e\": 4, \"f\": 32}", "seed": "14444488399260528828", "semantic_fingerprint": "sha256:4f9257df4486662555abfbad55a99c4a92bea207b2f4bc7be797e6bc0c9cdc33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003925", "prompt": "Solve for x: 8(x - 4) - 3 = x + 98", "solution_steps": ["Expand: 8x - 32 - 3 = x + 98", "Combine constants: 8x - 35 = x + 98", "Subtract x from both sides: 7x - 35 = 98", "Add 35 to both sides: 7x = 133", "Divide both sides by 7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 4) - 3 = x + 98", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 3, \"e\": 98, \"x\": 19}", "seed": "1113107186286558409", "semantic_fingerprint": "sha256:718afc2499e325db98d11e03df7c5beec1b811e39b6df25b44de4630f47dae78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003926", "prompt": "Solve for x: -8x - 3 = 12x - 243", "solution_steps": ["Subtract 12x from both sides: -20x - 3 = -243", "Add 3 to both sides: -20x = -240", "Divide both sides by -20: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 3 = 12x - 243", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 12, \"e\": -243, \"x\": 12}", "seed": "7823203954721647029", "semantic_fingerprint": "sha256:eb39ad8cf0e05c07920e1ff794c808fe35a4d479afa450253f728f24fd395ab6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003927", "prompt": "Solve the equation 10(x + 85) - 796 = x + 2 for x.", "solution_steps": ["Expand: 10x + 850 - 796 = x + 2", "Combine constants: 10x + 54 = x + 2", "Subtract x from both sides: 9x + 54 = 2", "Subtract 54 from both sides: 9x = -52", "Divide both sides by 9: x = -52/9"], "final_answer": "-52/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 85) - 796 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 85, \"c\": 796, \"d\": 2}", "seed": "12853201767258667732", "semantic_fingerprint": "sha256:03a692cf5b75d0ba566b28c473ed2f5b47d5d8dd7adc00d60e03395b2f2bdf20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003928", "prompt": "Calculate: -46 / (-93) * (2 * 95) / 93", "solution_steps": ["Divide: -46 / (-93) = 46/93", "Multiply: 2 * 95 = 190", "Multiply: (46/93) * 190 = 8740/93", "Divide: (8740/93) / 93 = 8740/8649"], "final_answer": "8740/8649", "answer_type": "rational", "kind": "expression", "math_text": "-46 / (-93) * (2 * 95) / 93", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -93, \"c\": 2, \"d\": 95, \"e\": 93}", "seed": "2374230105911122858", "semantic_fingerprint": "sha256:1128e33858007cb184896ad712be8140e85bd4830be104d56b680bf317d6a25a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003929", "prompt": "What is (-790 + 3) / (-51 - (5 - 0 / 9))?", "solution_steps": ["Add: -790 + 3 = -787", "Divide: 0 / 9 = 0", "Subtract: 5 - 0 = 5", "Subtract: -51 - 5 = -56", "Divide: -787 / (-56) = 787/56"], "final_answer": "787/56", "answer_type": "rational", "kind": "expression", "math_text": "(-790 + 3) / (-51 - (5 - 0 / 9))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- n (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -790, \"b\": 3, \"c\": -51, \"d\": 5, \"e\": 0, \"f\": 9}", "seed": "3060160916534254218", "semantic_fingerprint": "sha256:f7539f4967357ef46be9c33b2671c1425c3e53ebf3428459924eb6de068dd073", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003930", "prompt": "Calculate: 54 / (-476) * (5 - (-817) - (-751))", "solution_steps": ["Divide: 54 / (-476) = -27/238", "Subtract: 5 - (-817) = 822", "Subtract: 822 - (-751) = 1573", "Multiply: (-27/238) * 1573 = -42471/238"], "final_answer": "-42471/238", "answer_type": "rational", "kind": "expression", "math_text": "54 / (-476) * (5 - (-817) - (-751))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -476, \"c\": 5, \"d\": -817, \"e\": -751}", "seed": "445077218354906646", "semantic_fingerprint": "sha256:93025f641692f29041299d7199563f0408eee1c83154aa77fd7cebfe04c710a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003931", "prompt": "Solve for x: 4x = -7(x + 1) + 150", "solution_steps": ["Expand: 4x = -7x - 7 + 150", "Combine constants: 4x = -7x + 143", "Add 7x to both sides: 11x = 143", "Divide both sides by 11: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = -7(x + 1) + 150", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -7, \"c\": 1, \"e\": 150, \"x\": 13}", "seed": "12452303899003099942", "semantic_fingerprint": "sha256:8dde7ac0ffe5664a2bbb9fdba902747a2e5713f9e94037f8ea6c4bcb9efc80ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003932", "prompt": "What is 36 * 438 * (8 / (-28))?", "solution_steps": ["Multiply: 36 * 438 = 15768", "Divide: 8 / (-28) = -2/7", "Multiply: 15768 * (-2/7) = -31536/7"], "final_answer": "-31536/7", "answer_type": "rational", "kind": "expression", "math_text": "36 * 438 * (8 / (-28))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 438, \"c\": 8, \"d\": -28}", "seed": "10653183253939918448", "semantic_fingerprint": "sha256:44d36c631539fbc2544c676fd76f22d2e77aded259c969bb1f4c0b531ea9b6de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003933", "prompt": "Solve for x: -2(x + 46) = 2(x - 70) + 44", "solution_steps": ["Expand: -2x - 92 = 2(x - 70) + 44", "Expand: -2x - 92 = 2x - 140 + 44", "Combine constants: -2x - 92 = 2x - 96", "Subtract 2x from both sides: -4x - 92 = -96", "Add 92 to both sides: -4x = -4", "Divide both sides by -4: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 46) = 2(x - 70) + 44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 46, \"c\": 2, \"d\": 70, \"f\": 44, \"x\": 1}", "seed": "18121017790603381318", "semantic_fingerprint": "sha256:34cac9d3417156c47f93a2245b02cf847bb64a633a43acf95bb50fd96b99e540", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003934", "prompt": "Solve the equation 9x - 5 = 8x - 13 for x.", "solution_steps": ["Subtract 8x from both sides: x - 5 = -13", "Add 5 to both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 5 = 8x - 13", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 8, \"e\": -13, \"x\": -8}", "seed": "2594559335626404147", "semantic_fingerprint": "sha256:12f80448f50c187b66cb7082e7d15fe67f309142fbe697a2f52c95c3c51403ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003935", "prompt": "Solve for x: 5(x + 49) - 9 = x + 176", "solution_steps": ["Expand: 5x + 245 - 9 = x + 176", "Combine constants: 5x + 236 = x + 176", "Subtract x from both sides: 4x + 236 = 176", "Subtract 236 from both sides: 4x = -60", "Divide both sides by 4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 49) - 9 = x + 176", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 49, \"c\": 9, \"e\": 176, \"x\": -15}", "seed": "3890418660093640882", "semantic_fingerprint": "sha256:f0e1f654a74623a4f595c4c364d435519e6d5df6be35540b91596abf656cbc29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003936", "prompt": "What is (-901 * (-9) / (938 / (-3)) - (-853)) / (-3)?", "solution_steps": ["Multiply: -901 * (-9) = 8109", "Divide: 938 / (-3) = -938/3", "Divide: 8109 / (-938/3) = -24327/938", "Subtract: -24327/938 - (-853) = 775787/938", "Divide: (775787/938) / (-3) = -775787/2814"], "final_answer": "-775787/2814", "answer_type": "rational", "kind": "expression", "math_text": "(-901 * (-9) / (938 / (-3)) - (-853)) / (-3)", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ (* n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -901, \"b\": -9, \"c\": 938, \"d\": -3, \"e\": -853, \"f\": -3}", "seed": "5662986083168499400", "semantic_fingerprint": "sha256:478e093aaa67daac32339cbd932e3a13feb2dd315ea6549524cd6b7a63522222", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003937", "prompt": "Evaluate: 9 + 58 + (8 / 6 - 39)", "solution_steps": ["Add: 9 + 58 = 67", "Divide: 8 / 6 = 4/3", "Subtract: 4/3 - 39 = -113/3", "Add: 67 + (-113/3) = 88/3"], "final_answer": "88/3", "answer_type": "rational", "kind": "expression", "math_text": "9 + 58 + (8 / 6 - 39)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 58, \"c\": 8, \"d\": 6, \"e\": 39}", "seed": "15843253781942203934", "semantic_fingerprint": "sha256:695c0fd126ac4b79a0d9592f6ce44eb9279bb865c5e14e99119aad4170a142f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003938", "prompt": "Solve the equation 9x = 11(x + 5) - 71 for x.", "solution_steps": ["Expand: 9x = 11x + 55 - 71", "Combine constants: 9x = 11x - 16", "Subtract 11x from both sides: -2x = -16", "Divide both sides by -2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 11(x + 5) - 71", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 5, \"e\": -71, \"x\": 8}", "seed": "4060393435746084563", "semantic_fingerprint": "sha256:ee5f7021969acc7c2231ef7e78cc2ead89e0f6ef5a39fe47da36659f6326bc53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003939", "prompt": "What value of x satisfies -5(x - 63) - 72 = x + 291?", "solution_steps": ["Expand: -5x + 315 - 72 = x + 291", "Combine constants: -5x + 243 = x + 291", "Subtract x from both sides: -6x + 243 = 291", "Subtract 243 from both sides: -6x = 48", "Divide both sides by -6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 63) - 72 = x + 291", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 63, \"c\": 72, \"e\": 291, \"x\": -8}", "seed": "18263718180925956554", "semantic_fingerprint": "sha256:7f56561a8e0b9d9c7b23af4692adce738b279b57eab87c76480bae1a32999c3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003940", "prompt": "Compute: (-49 - 754 / 5) * 66 / 731", "solution_steps": ["Divide: 754 / 5 = 754/5", "Subtract: -49 - 754/5 = -999/5", "Multiply: (-999/5) * 66 = -65934/5", "Divide: (-65934/5) / 731 = -65934/3655"], "final_answer": "-65934/3655", "answer_type": "rational", "kind": "expression", "math_text": "(-49 - 754 / 5) * 66 / 731", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 754, \"c\": 5, \"d\": 66, \"e\": 731}", "seed": "9741737087209462634", "semantic_fingerprint": "sha256:632938eddf3d08ca4003a0bca23952ceb7797a19376ef6851d003cf6cd7bebaa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003941", "prompt": "Evaluate: -685 / 23 * (2 / (-1))", "solution_steps": ["Divide: -685 / 23 = -685/23", "Divide: 2 / (-1) = -2", "Multiply: (-685/23) * (-2) = 1370/23"], "final_answer": "1370/23", "answer_type": "rational", "kind": "expression", "math_text": "-685 / 23 * (2 / (-1))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -685, \"b\": 23, \"c\": 2, \"d\": -1}", "seed": "12943863303966292498", "semantic_fingerprint": "sha256:fa636505b8c68abe1422bf4f490781f28b5a97f79380572080bb94ae916415c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003942", "prompt": "Find x: -11x = -12(x + 77) + 942", "solution_steps": ["Expand: -11x = -12x - 924 + 942", "Combine constants: -11x = -12x + 18", "Add 12x to both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = -12(x + 77) + 942", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -12, \"c\": 77, \"e\": 942, \"x\": 18}", "seed": "2448363634081514029", "semantic_fingerprint": "sha256:64ca0d53cf7592134cbdd19271b2143ebafaa36bd7939774345ff9268d26c381", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003943", "prompt": "Evaluate: 8 - (-28) * (-6) * (-29 + (-4)) / (-456)", "solution_steps": ["Multiply: -28 * (-6) = 168", "Add: -29 + (-4) = -33", "Multiply: 168 * (-33) = -5544", "Divide: -5544 / (-456) = 231/19", "Subtract: 8 - 231/19 = -79/19"], "final_answer": "-79/19", "answer_type": "rational", "kind": "expression", "math_text": "8 - (-28) * (-6) * (-29 + (-4)) / (-456)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (* (* n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -28, \"c\": -6, \"d\": -29, \"e\": -4, \"f\": -456}", "seed": "632068549402854014", "semantic_fingerprint": "sha256:3584a0a31335c7e2e783d9bfce1ff4783ebecf860f2bb9ea3b0c3215b9c54c3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003944", "prompt": "What value of x satisfies 12(x + 88) - 68 = x + 999?", "solution_steps": ["Expand: 12x + 1056 - 68 = x + 999", "Combine constants: 12x + 988 = x + 999", "Subtract x from both sides: 11x + 988 = 999", "Subtract 988 from both sides: 11x = 11", "Divide both sides by 11: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 88) - 68 = x + 999", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 88, \"c\": 68, \"e\": 999, \"x\": 1}", "seed": "9300557833482867705", "semantic_fingerprint": "sha256:ff56160bb9d91720a4266782f65fbd44592a3cafdb10034b8a57a25c168677d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003945", "prompt": "Compute: -14 / 982 * 0 - (-442) * (-33)", "solution_steps": ["Divide: -14 / 982 = -7/491", "Multiply: (-7/491) * 0 = 0", "Multiply: -442 * (-33) = 14586", "Subtract: 0 - 14586 = -14586"], "final_answer": "-14586", "answer_type": "integer", "kind": "expression", "math_text": "-14 / 982 * 0 - (-442) * (-33)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 982, \"c\": 0, \"d\": -442, \"e\": -33}", "seed": "1907603446737785060", "semantic_fingerprint": "sha256:d749affb329bb8c1dbf10e4ebfc54543d989ae6467b46fb0084dd5dec18b3e18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003946", "prompt": "What value of x satisfies 3(x - 51) + 660 = 12(x + 34)?", "solution_steps": ["Expand: 3x - 153 + 660 = 12(x + 34)", "Expand: 3x - 153 + 660 = 12x + 408", "Combine constants: 3x + 507 = 12x + 408", "Subtract 12x from both sides: -9x + 507 = 408", "Subtract 507 from both sides: -9x = -99", "Divide both sides by -9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 51) + 660 = 12(x + 34)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 51, \"c\": 12, \"d\": 34, \"f\": 660, \"x\": 11}", "seed": "11812806567645110629", "semantic_fingerprint": "sha256:dc9ef488383eceba9be8bff03a6ddd2e989f93924cc3d4b311e418b7a6c495b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003947", "prompt": "Calculate: -6 * 548 + (-9) * (-40)", "solution_steps": ["Multiply: -6 * 548 = -3288", "Multiply: -9 * (-40) = 360", "Add: -3288 + 360 = -2928"], "final_answer": "-2928", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 548 + (-9) * (-40)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 548, \"c\": -9, \"d\": -40}", "seed": "4582923719055319972", "semantic_fingerprint": "sha256:fe8a09296064c059bcee4dfa7ed6cfaa5cd19ed9dbd7aec733518ce194e3da0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003948", "prompt": "What is (1 * 80 - (655 + 889)) * (-3)?", "solution_steps": ["Multiply: 1 * 80 = 80", "Add: 655 + 889 = 1544", "Subtract: 80 - 1544 = -1464", "Multiply: -1464 * (-3) = 4392"], "final_answer": "4392", "answer_type": "integer", "kind": "expression", "math_text": "(1 * 80 - (655 + 889)) * (-3)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 80, \"c\": 655, \"d\": 889, \"e\": -3}", "seed": "3154892239706332295", "semantic_fingerprint": "sha256:19eb36cb2d04170ce98133f78d4679ae4f2f1668ff4000fb54c4b270e3510ddc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003949", "prompt": "Solve for x: 2(x + 3) - 33 = x + 82", "solution_steps": ["Expand: 2x + 6 - 33 = x + 82", "Combine constants: 2x - 27 = x + 82", "Subtract x from both sides: x - 27 = 82", "Add 27 to both sides: x = 109"], "final_answer": "109", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 3) - 33 = x + 82", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 33, \"d\": 82}", "seed": "3788593552618224586", "semantic_fingerprint": "sha256:e0c8b80fb857f3113f424519a8aa145e145d5969f9bda0d6ea2750596ccba656", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003950", "prompt": "Find x: 3(x - 8) + 183 = 5(x + 33)", "solution_steps": ["Expand: 3x - 24 + 183 = 5(x + 33)", "Expand: 3x - 24 + 183 = 5x + 165", "Combine constants: 3x + 159 = 5x + 165", "Subtract 5x from both sides: -2x + 159 = 165", "Subtract 159 from both sides: -2x = 6", "Divide both sides by -2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 8) + 183 = 5(x + 33)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 5, \"d\": 33, \"f\": 183, \"x\": -3}", "seed": "8789045448025475200", "semantic_fingerprint": "sha256:e6e787967368e877d55ff96993b9e2fe855b53cea21d26a203884e6d0eca0130", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003951", "prompt": "What value of x satisfies 12(x + 61) - 505 = x + 183?", "solution_steps": ["Expand: 12x + 732 - 505 = x + 183", "Combine constants: 12x + 227 = x + 183", "Subtract x from both sides: 11x + 227 = 183", "Subtract 227 from both sides: 11x = -44", "Divide both sides by 11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 61) - 505 = x + 183", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 61, \"c\": 505, \"e\": 183, \"x\": -4}", "seed": "12152930137064440471", "semantic_fingerprint": "sha256:e7b8989112ed5375f0ca3c810ce95af7e16c4596c06c8e1acde0c52babb07202", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003952", "prompt": "Evaluate: -18 / 663 - (-58 - 88) - 556", "solution_steps": ["Divide: -18 / 663 = -6/221", "Subtract: -58 - 88 = -146", "Subtract: -6/221 - (-146) = 32260/221", "Subtract: 32260/221 - 556 = -90616/221"], "final_answer": "-90616/221", "answer_type": "rational", "kind": "expression", "math_text": "-18 / 663 - (-58 - 88) - 556", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 663, \"c\": -58, \"d\": 88, \"e\": 556}", "seed": "17971494454165549178", "semantic_fingerprint": "sha256:5656ce6b94bc7d5ff29b173b839b67c730eada0115eca0b70cdb92c2950e48bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003953", "prompt": "What value of x satisfies -10x = 7(x + 6) + 128?", "solution_steps": ["Expand: -10x = 7x + 42 + 128", "Combine constants: -10x = 7x + 170", "Subtract 7x from both sides: -17x = 170", "Divide both sides by -17: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 7(x + 6) + 128", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 6, \"e\": 128, \"x\": -10}", "seed": "12803083941514445203", "semantic_fingerprint": "sha256:ed2e0eed64b7ce20716a013aeca01ec5665570b75de594e43755b953be77993d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003954", "prompt": "Evaluate: 3 + (-61) + (-7 - (-24)) / 4", "solution_steps": ["Add: 3 + (-61) = -58", "Subtract: -7 - (-24) = 17", "Divide: 17 / 4 = 17/4", "Add: -58 + 17/4 = -215/4"], "final_answer": "-215/4", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-61) + (-7 - (-24)) / 4", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -61, \"c\": -7, \"d\": -24, \"e\": 4}", "seed": "6901374310999387826", "semantic_fingerprint": "sha256:1e4da0e2cba996fb74c7502c82cc3645cb4ec2ff4ff106ab39beb55c6294a846", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003955", "prompt": "Solve the equation -2x - 149 = 7(x - 2) for x.", "solution_steps": ["Expand: -2x - 149 = 7x - 14", "Subtract 7x from both sides: -9x - 149 = -14", "Add 149 to both sides: -9x = 135", "Divide both sides by -9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 149 = 7(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 2, \"e\": -149, \"x\": -15}", "seed": "2622989414863914090", "semantic_fingerprint": "sha256:ee18e36d87d451557e1b61187630d4c3476ce307ee34f9ba9595f8f8a6b40b15", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003956", "prompt": "Calculate: -1 + (43 + (-52 - 754)) + 5", "solution_steps": ["Subtract: -52 - 754 = -806", "Add: 43 + (-806) = -763", "Add: -1 + (-763) = -764", "Add: -764 + 5 = -759"], "final_answer": "-759", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (43 + (-52 - 754)) + 5", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 43, \"c\": -52, \"d\": 754, \"e\": 5}", "seed": "1582377457805491398", "semantic_fingerprint": "sha256:cdfa1039573b5cb59b9bc145af5cbde15e496722eeee8f26d99de2ba1c6d165b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003957", "prompt": "What value of x satisfies -2(x - 4) - 640 = x + 45?", "solution_steps": ["Expand: -2x + 8 - 640 = x + 45", "Combine constants: -2x - 632 = x + 45", "Subtract x from both sides: -3x - 632 = 45", "Add 632 to both sides: -3x = 677", "Divide both sides by -3: x = -677/3"], "final_answer": "-677/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 4) - 640 = x + 45", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 640, \"d\": 45}", "seed": "8101217901107513849", "semantic_fingerprint": "sha256:98468254dae7a746d889a1ee884d783ceda04f2ba0f422949c1e5db7fe7f7a6b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003958", "prompt": "Calculate: 14 * 16 * (167 / 6)", "solution_steps": ["Multiply: 14 * 16 = 224", "Divide: 167 / 6 = 167/6", "Multiply: 224 * (167/6) = 18704/3"], "final_answer": "18704/3", "answer_type": "rational", "kind": "expression", "math_text": "14 * 16 * (167 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 16, \"c\": 167, \"d\": 6}", "seed": "10697627389696924608", "semantic_fingerprint": "sha256:654c0cb74d1a091953ed47751b5a4e41b3c234a59ca1c0f7e842dc3726d5cc0c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003959", "prompt": "Solve for x: 2(x - 2) - 97 = x + 6", "solution_steps": ["Expand: 2x - 4 - 97 = x + 6", "Combine constants: 2x - 101 = x + 6", "Subtract x from both sides: x - 101 = 6", "Add 101 to both sides: x = 107"], "final_answer": "107", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 2) - 97 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 97, \"d\": 6}", "seed": "9432558705186469296", "semantic_fingerprint": "sha256:c4f76e77fa0ce20d5928262b4b9e0331f8abfdbc0b5650f9c569680fc1ad777d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003960", "prompt": "Evaluate: -51 * (-784) / (89 + (41 + (-119)))", "solution_steps": ["Multiply: -51 * (-784) = 39984", "Add: 41 + (-119) = -78", "Add: 89 + (-78) = 11", "Divide: 39984 / 11 = 39984/11"], "final_answer": "39984/11", "answer_type": "rational", "kind": "expression", "math_text": "-51 * (-784) / (89 + (41 + (-119)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -784, \"c\": 89, \"d\": 41, \"e\": -119}", "seed": "1834276532189320142", "semantic_fingerprint": "sha256:feef2c1b0e2c6db9f486ab413cda16e7f191d285bd17484c9054b9f24f73a7a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003961", "prompt": "Find x: 10(x + 6) + 8 = x + 86", "solution_steps": ["Expand: 10x + 60 + 8 = x + 86", "Combine constants: 10x + 68 = x + 86", "Subtract x from both sides: 9x + 68 = 86", "Subtract 68 from both sides: 9x = 18", "Divide both sides by 9: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) + 8 = x + 86", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 8, \"e\": 86, \"x\": 2}", "seed": "7862738560959433358", "semantic_fingerprint": "sha256:4bc9781368898f49efdb3d0e0787609cd964f537a881b4fd3bee601397ee6851", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003962", "prompt": "Solve for x: 4(x + 571) = 11(x - 268) + 160", "solution_steps": ["Expand: 4x + 2284 = 11(x - 268) + 160", "Expand: 4x + 2284 = 11x - 2948 + 160", "Combine constants: 4x + 2284 = 11x - 2788", "Subtract 11x from both sides: -7x + 2284 = -2788", "Subtract 2284 from both sides: -7x = -5072", "Divide both sides by -7: x = 5072/7"], "final_answer": "5072/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 571) = 11(x - 268) + 160", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 571, \"c\": 11, \"d\": 268, \"e\": 160}", "seed": "3498615116622899373", "semantic_fingerprint": "sha256:5c29e9ff3f7e286ba2456b509c79c88fc5eb1f51f81335de5ad579492f4de5c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003963", "prompt": "What is 3 - (54 + (-5 - 8)) * 3?", "solution_steps": ["Subtract: -5 - 8 = -13", "Add: 54 + (-13) = 41", "Multiply: 41 * 3 = 123", "Subtract: 3 - 123 = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "expression", "math_text": "3 - (54 + (-5 - 8)) * 3", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 54, \"c\": -5, \"d\": 8, \"e\": 3}", "seed": "11081359132385270547", "semantic_fingerprint": "sha256:554f1630d75ca0db5759c2a0a519a4effdeeb4efa4849843a05d84f3af1b9421", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003964", "prompt": "What value of x satisfies -9(x - 178) - 47 = x + 7?", "solution_steps": ["Expand: -9x + 1602 - 47 = x + 7", "Combine constants: -9x + 1555 = x + 7", "Subtract x from both sides: -10x + 1555 = 7", "Subtract 1555 from both sides: -10x = -1548", "Divide both sides by -10: x = 774/5"], "final_answer": "774/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 178) - 47 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 178, \"c\": 47, \"d\": 7}", "seed": "7504028375735218468", "semantic_fingerprint": "sha256:5b9cb60ac9eb31bcd23b349da807eb360616f502037ec88e11b958c13593b5d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003965", "prompt": "What is -7 - (-596 + 4) * (-230) / (-1)?", "solution_steps": ["Add: -596 + 4 = -592", "Multiply: -592 * (-230) = 136160", "Divide: 136160 / (-1) = -136160", "Subtract: -7 - (-136160) = 136153"], "final_answer": "136153", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-596 + 4) * (-230) / (-1)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -596, \"c\": 4, \"d\": -230, \"e\": -1}", "seed": "9900646642970712629", "semantic_fingerprint": "sha256:6bc36f183d0ab75494cdbc75759d8fb0162b1bf788c2f880bdeab835b2bc51de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003966", "prompt": "What is 51 - 4 / (-66) * 5 - (-96) * (-7)?", "solution_steps": ["Divide: 4 / (-66) = -2/33", "Multiply: (-2/33) * 5 = -10/33", "Subtract: 51 - (-10/33) = 1693/33", "Multiply: -96 * (-7) = 672", "Subtract: 1693/33 - 672 = -20483/33"], "final_answer": "-20483/33", "answer_type": "rational", "kind": "expression", "math_text": "51 - 4 / (-66) * 5 - (-96) * (-7)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* (/ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 4, \"c\": -66, \"d\": 5, \"e\": -96, \"f\": -7}", "seed": "3447655062875451001", "semantic_fingerprint": "sha256:63a36e253067c0949ee4d2d7ffc3499510bab4a8988a6cbea7d43683059725b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003967", "prompt": "Compute: -169 * (-1) * (6 / (-562))", "solution_steps": ["Multiply: -169 * (-1) = 169", "Divide: 6 / (-562) = -3/281", "Multiply: 169 * (-3/281) = -507/281"], "final_answer": "-507/281", "answer_type": "rational", "kind": "expression", "math_text": "-169 * (-1) * (6 / (-562))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -169, \"b\": -1, \"c\": 6, \"d\": -562}", "seed": "4137249812767835304", "semantic_fingerprint": "sha256:ef344dc1518e3a3d9a6cb4899b1c175b3e4d07669de81473df6f21da1b7155a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003968", "prompt": "Evaluate: 40 * (35 * (-6) / 39 - 176)", "solution_steps": ["Multiply: 35 * (-6) = -210", "Divide: -210 / 39 = -70/13", "Subtract: -70/13 - 176 = -2358/13", "Multiply: 40 * (-2358/13) = -94320/13"], "final_answer": "-94320/13", "answer_type": "rational", "kind": "expression", "math_text": "40 * (35 * (-6) / 39 - 176)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 35, \"c\": -6, \"d\": 39, \"e\": 176}", "seed": "2926468872666707017", "semantic_fingerprint": "sha256:afbb00be33dd4ce20e6239c369accac197b51276d77382ff818f7f701a97eccb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003969", "prompt": "What value of x satisfies 10x - 16 = 6(x - 8)?", "solution_steps": ["Expand: 10x - 16 = 6x - 48", "Subtract 6x from both sides: 4x - 16 = -48", "Add 16 to both sides: 4x = -32", "Divide both sides by 4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 16 = 6(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 8, \"e\": -16, \"x\": -8}", "seed": "18080625165297729647", "semantic_fingerprint": "sha256:a58a649d4fdc31047092471a101aef3f9fae7f0c2765de982ef0cc43b728af09", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003970", "prompt": "Evaluate: -957 * (-472) + (-568 - 1 * (-677))", "solution_steps": ["Multiply: -957 * (-472) = 451704", "Multiply: 1 * (-677) = -677", "Subtract: -568 - (-677) = 109", "Add: 451704 + 109 = 451813"], "final_answer": "451813", "answer_type": "integer", "kind": "expression", "math_text": "-957 * (-472) + (-568 - 1 * (-677))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -957, \"b\": -472, \"c\": -568, \"d\": 1, \"e\": -677}", "seed": "17707028863538584001", "semantic_fingerprint": "sha256:0eb55537fb7efa12d704e160ecb970e7429d4e9ecc0de2446d24d72ab95c1985", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003971", "prompt": "Compute: -87 / 6 / 8 - (-24)", "solution_steps": ["Divide: -87 / 6 = -29/2", "Divide: (-29/2) / 8 = -29/16", "Subtract: -29/16 - (-24) = 355/16"], "final_answer": "355/16", "answer_type": "rational", "kind": "expression", "math_text": "-87 / 6 / 8 - (-24)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 6, \"c\": 8, \"d\": -24}", "seed": "2722616462442215185", "semantic_fingerprint": "sha256:93c9a7d3e0082ffbf36dcf79d13e5b05429678741ae805fd48c0dfbaa0ea5f06", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003972", "prompt": "Solve for x: 8(x + 5) + 692 = x + 19", "solution_steps": ["Expand: 8x + 40 + 692 = x + 19", "Combine constants: 8x + 732 = x + 19", "Subtract x from both sides: 7x + 732 = 19", "Subtract 732 from both sides: 7x = -713", "Divide both sides by 7: x = -713/7"], "final_answer": "-713/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 5) + 692 = x + 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 692, \"d\": 19}", "seed": "6007820607325859941", "semantic_fingerprint": "sha256:99c23ddb378929ebb3c0f97bffef77da5e03e9a41dac29fb9e119fad42a76c1f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003973", "prompt": "Solve the equation 2(x + 471) - 1 = x + 932 for x.", "solution_steps": ["Expand: 2x + 942 - 1 = x + 932", "Combine constants: 2x + 941 = x + 932", "Subtract x from both sides: x + 941 = 932", "Subtract 941 from both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 471) - 1 = x + 932", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 471, \"c\": 1, \"e\": 932, \"x\": -9}", "seed": "15124144410427024670", "semantic_fingerprint": "sha256:ad8a17ae0282daed11935dbd8081cd62ad7a8ed0d2e6a31c54a6f30e8c15ecdf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003974", "prompt": "What value of x satisfies -7x - 31 = 11x - 373?", "solution_steps": ["Subtract 11x from both sides: -18x - 31 = -373", "Add 31 to both sides: -18x = -342", "Divide both sides by -18: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 31 = 11x - 373", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 31, \"c\": 11, \"e\": -373, \"x\": 19}", "seed": "5306650974605340615", "semantic_fingerprint": "sha256:0061c731216df8a737350e8d47441be28d342697d97d91db60e2b74bde034199", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003975", "prompt": "Solve for x: -5x = 3(x + 82) - 84", "solution_steps": ["Expand: -5x = 3x + 246 - 84", "Combine constants: -5x = 3x + 162", "Subtract 3x from both sides: -8x = 162", "Divide both sides by -8: x = -81/4"], "final_answer": "-81/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 3(x + 82) - 84", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 82, \"d\": 84}", "seed": "13594246880775667259", "semantic_fingerprint": "sha256:435516f9ec953b0b693f8109e17e722706e86e0ad56ad27fb952f40814c5072f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003976", "prompt": "Compute: 54 / (-73 + (-59)) * (-84 * 9)", "solution_steps": ["Add: -73 + (-59) = -132", "Divide: 54 / (-132) = -9/22", "Multiply: -84 * 9 = -756", "Multiply: (-9/22) * (-756) = 3402/11"], "final_answer": "3402/11", "answer_type": "rational", "kind": "expression", "math_text": "54 / (-73 + (-59)) * (-84 * 9)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -73, \"c\": -59, \"d\": -84, \"e\": 9}", "seed": "13046825785229571005", "semantic_fingerprint": "sha256:6a5cd83d02154f1cdd8c0a12fedc4e49220a3cfb6b5211131237779a40e8a103", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003977", "prompt": "Evaluate: (-6 + (680 + (-89))) * (-152 / 972)", "solution_steps": ["Add: 680 + (-89) = 591", "Add: -6 + 591 = 585", "Divide: -152 / 972 = -38/243", "Multiply: 585 * (-38/243) = -2470/27"], "final_answer": "-2470/27", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (680 + (-89))) * (-152 / 972)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 680, \"c\": -89, \"d\": -152, \"e\": 972}", "seed": "18082552039494239054", "semantic_fingerprint": "sha256:fab195934de890d00e33c642df1dc635d14902e36aa09a72594e692a7471d18f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003978", "prompt": "Calculate: -529 * (15 * (-5)) * (-2)", "solution_steps": ["Multiply: 15 * (-5) = -75", "Multiply: -529 * (-75) = 39675", "Multiply: 39675 * (-2) = -79350"], "final_answer": "-79350", "answer_type": "integer", "kind": "expression", "math_text": "-529 * (15 * (-5)) * (-2)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -529, \"b\": 15, \"c\": -5, \"d\": -2}", "seed": "15526207778509984704", "semantic_fingerprint": "sha256:fa30b0decf38a08421bfa9de48cb18adeaa2197793cb05990de3c050f9ca4caf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003979", "prompt": "Solve for x: -2x = 2(x + 48) - 72", "solution_steps": ["Expand: -2x = 2x + 96 - 72", "Combine constants: -2x = 2x + 24", "Subtract 2x from both sides: -4x = 24", "Divide both sides by -4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 2(x + 48) - 72", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 48, \"e\": -72, \"x\": -6}", "seed": "3792923645246338199", "semantic_fingerprint": "sha256:ba0c4358cf86131fbb3b41f46499e3468c2349d38e158449fb15caa4173728f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003980", "prompt": "Compute: (367 - 3) / (-20) / (52 * (-6))", "solution_steps": ["Subtract: 367 - 3 = 364", "Divide: 364 / (-20) = -91/5", "Multiply: 52 * (-6) = -312", "Divide: (-91/5) / (-312) = 7/120"], "final_answer": "7/120", "answer_type": "rational", "kind": "expression", "math_text": "(367 - 3) / (-20) / (52 * (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 367, \"b\": 3, \"c\": -20, \"d\": 52, \"e\": -6}", "seed": "13477988043762881697", "semantic_fingerprint": "sha256:e7d927afd5f578b5ad35b55f18ea3d5846470131140d7e5bc30e300b1a2121f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003981", "prompt": "Solve the equation 4x - 189 = -9x - 124 for x.", "solution_steps": ["Add 9x to both sides: 13x - 189 = -124", "Add 189 to both sides: 13x = 65", "Divide both sides by 13: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 189 = -9x - 124", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 189, \"c\": -9, \"e\": -124, \"x\": 5}", "seed": "11597102384215980044", "semantic_fingerprint": "sha256:373cc1e8bf053f4384535b4551aeee4fd4b5d74290f447d6e1a3368b8fa04da8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003982", "prompt": "Find x: 5x = -8(x + 116) + 3", "solution_steps": ["Expand: 5x = -8x - 928 + 3", "Combine constants: 5x = -8x - 925", "Add 8x to both sides: 13x = -925", "Divide both sides by 13: x = -925/13"], "final_answer": "-925/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = -8(x + 116) + 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -8, \"c\": 116, \"d\": 3}", "seed": "8272954832080166287", "semantic_fingerprint": "sha256:dfec0d35fa46f323ad8df55fe7199e6ec64153bf200b91b6796720019d403b2f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003983", "prompt": "Compute: 90 - 63 * (2 / (-5))", "solution_steps": ["Divide: 2 / (-5) = -2/5", "Multiply: 63 * (-2/5) = -126/5", "Subtract: 90 - (-126/5) = 576/5"], "final_answer": "576/5", "answer_type": "rational", "kind": "expression", "math_text": "90 - 63 * (2 / (-5))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 63, \"c\": 2, \"d\": -5}", "seed": "6318453157541111963", "semantic_fingerprint": "sha256:df05a34bc8badc771355a1524b4586a2d79c65ec56dd87f370c4aaf4aba7c042", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003984", "prompt": "Find x: 4(x + 63) + 97 = x + 301", "solution_steps": ["Expand: 4x + 252 + 97 = x + 301", "Combine constants: 4x + 349 = x + 301", "Subtract x from both sides: 3x + 349 = 301", "Subtract 349 from both sides: 3x = -48", "Divide both sides by 3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 63) + 97 = x + 301", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 63, \"c\": 97, \"e\": 301, \"x\": -16}", "seed": "1864287041203481977", "semantic_fingerprint": "sha256:24848888d0a8ed264400537908541259398f843fa74dc66d42499e97b3fa3591", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003985", "prompt": "Solve the equation 3x = 5(x + 32) - 120 for x.", "solution_steps": ["Expand: 3x = 5x + 160 - 120", "Combine constants: 3x = 5x + 40", "Subtract 5x from both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 5(x + 32) - 120", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 32, \"e\": -120, \"x\": -20}", "seed": "5013081813380003284", "semantic_fingerprint": "sha256:bfbac4cebb330f2a4acf19a292eb27bc07a036bb5afba7856e6bbdd7cf4858b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003986", "prompt": "Evaluate: 42 + (-6 - (308 + 90))", "solution_steps": ["Add: 308 + 90 = 398", "Subtract: -6 - 398 = -404", "Add: 42 + (-404) = -362"], "final_answer": "-362", "answer_type": "integer", "kind": "expression", "math_text": "42 + (-6 - (308 + 90))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -6, \"c\": 308, \"d\": 90}", "seed": "16559413499042132938", "semantic_fingerprint": "sha256:1355f3755dff6daf05ff21db4b86742111cad8f4cef3fda764c250c30ae679ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003987", "prompt": "Compute: 338 / (-83) * (856 / (-9))", "solution_steps": ["Divide: 338 / (-83) = -338/83", "Divide: 856 / (-9) = -856/9", "Multiply: (-338/83) * (-856/9) = 289328/747"], "final_answer": "289328/747", "answer_type": "rational", "kind": "expression", "math_text": "338 / (-83) * (856 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 338, \"b\": -83, \"c\": 856, \"d\": -9}", "seed": "11329682717704745214", "semantic_fingerprint": "sha256:95b5c89fb5ebebd0e148b5fd9871c4e5d21255e4edc258f8154c20c51771ac51", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003988", "prompt": "Solve for x: 3x = 4(x + 9) - 43", "solution_steps": ["Expand: 3x = 4x + 36 - 43", "Combine constants: 3x = 4x - 7", "Subtract 4x from both sides: -x = -7", "Divide both sides by -1: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 4(x + 9) - 43", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 9, \"e\": -43, \"x\": 7}", "seed": "640975105272125122", "semantic_fingerprint": "sha256:ab39e7f73aa2bcedc13cd889cac2349c9141ff08852602473375cf8715bf94b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003989", "prompt": "Solve for x: -7x - 685 = 6x - 47", "solution_steps": ["Subtract 6x from both sides: -13x - 685 = -47", "Add 685 to both sides: -13x = 638", "Divide both sides by -13: x = -638/13"], "final_answer": "-638/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x - 685 = 6x - 47", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 685, \"c\": 6, \"d\": 47}", "seed": "4291173621957243851", "semantic_fingerprint": "sha256:6159493431eadbb9cce941db8784c4f617a15ffc20a7f8612723e2ba60d957f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003990", "prompt": "Solve for x: -8(x - 56) - 8 = x + 278", "solution_steps": ["Expand: -8x + 448 - 8 = x + 278", "Combine constants: -8x + 440 = x + 278", "Subtract x from both sides: -9x + 440 = 278", "Subtract 440 from both sides: -9x = -162", "Divide both sides by -9: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 56) - 8 = x + 278", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 56, \"c\": 8, \"e\": 278, \"x\": 18}", "seed": "7484677746340956972", "semantic_fingerprint": "sha256:32e369cd04b0d35fcb0c713d55e366b561a803d13a58872d64ab73a5f664e395", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003991", "prompt": "Solve for x: 8x - 4 = 12x - 2", "solution_steps": ["Subtract 12x from both sides: -4x - 4 = -2", "Add 4 to both sides: -4x = 2", "Divide both sides by -4: x = -1/2"], "final_answer": "-1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 4 = 12x - 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 12, \"d\": 2}", "seed": "8050192093455560196", "semantic_fingerprint": "sha256:fcae0263439d315de0436412ec573e8b2f14346a72b6fb76a036ecea800fbc16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003992", "prompt": "Evaluate: (-5 - (38 + 8)) * (-8)", "solution_steps": ["Add: 38 + 8 = 46", "Subtract: -5 - 46 = -51", "Multiply: -51 * (-8) = 408"], "final_answer": "408", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - (38 + 8)) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 38, \"c\": 8, \"d\": -8}", "seed": "13349508324241946503", "semantic_fingerprint": "sha256:4872d13d65692ac146fb66dc48fd3ffedb4c51a6c878585f42217cc0e1049a78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003993", "prompt": "Find x: 3x = -5(x + 509) + 17", "solution_steps": ["Expand: 3x = -5x - 2545 + 17", "Combine constants: 3x = -5x - 2528", "Add 5x to both sides: 8x = -2528", "Divide both sides by 8: x = -316"], "final_answer": "-316", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -5(x + 509) + 17", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -5, \"c\": 509, \"d\": 17}", "seed": "6008384783711584743", "semantic_fingerprint": "sha256:4927772e825af8709d9ce6140bce103186b393d1436e9327c1087e2a65267413", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003994", "prompt": "Evaluate: 34 - 29 / 7 - (-2)", "solution_steps": ["Divide: 29 / 7 = 29/7", "Subtract: 34 - 29/7 = 209/7", "Subtract: 209/7 - (-2) = 223/7"], "final_answer": "223/7", "answer_type": "rational", "kind": "expression", "math_text": "34 - 29 / 7 - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 29, \"c\": 7, \"d\": -2}", "seed": "8262404849607663890", "semantic_fingerprint": "sha256:7f16a0dcd7e26d260c2568193abd3ae238a5bcc43816b42f895256db147503b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003995", "prompt": "Solve for x: -6x - 139 = 7(x - 5)", "solution_steps": ["Expand: -6x - 139 = 7x - 35", "Subtract 7x from both sides: -13x - 139 = -35", "Add 139 to both sides: -13x = 104", "Divide both sides by -13: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 139 = 7(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 5, \"e\": -139, \"x\": -8}", "seed": "7621302413832111855", "semantic_fingerprint": "sha256:d52af7d00efbde20c282ea10c1dbece435137c35ac1d2bfee1cab593d9501b3f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003996", "prompt": "What value of x satisfies 5x = -8(x + 1) + 47?", "solution_steps": ["Expand: 5x = -8x - 8 + 47", "Combine constants: 5x = -8x + 39", "Add 8x to both sides: 13x = 39", "Divide both sides by 13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -8(x + 1) + 47", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -8, \"c\": 1, \"e\": 47, \"x\": 3}", "seed": "10020528864397160290", "semantic_fingerprint": "sha256:af467193c54a79d85a12392e64d64f0d08aefd9e7223ad9be05e7b51442ef1e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003997", "prompt": "What is -2 / (269 + 25 + 397) + (-225 - (-11))?", "solution_steps": ["Add: 269 + 25 = 294", "Add: 294 + 397 = 691", "Divide: -2 / 691 = -2/691", "Subtract: -225 - (-11) = -214", "Add: -2/691 + (-214) = -147876/691"], "final_answer": "-147876/691", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (269 + 25 + 397) + (-225 - (-11))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 269, \"c\": 25, \"d\": 397, \"e\": -225, \"f\": -11}", "seed": "13895433342358724126", "semantic_fingerprint": "sha256:3ee1eb99a82f905edb72fb90b98b7bd3acf059dcaaa4dfb54ef4a4c5a86ce6ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003998", "prompt": "Calculate: 249 - 71 / (-96) - (-242) / (-1)", "solution_steps": ["Divide: 71 / (-96) = -71/96", "Subtract: 249 - (-71/96) = 23975/96", "Divide: -242 / (-1) = 242", "Subtract: 23975/96 - 242 = 743/96"], "final_answer": "743/96", "answer_type": "rational", "kind": "expression", "math_text": "249 - 71 / (-96) - (-242) / (-1)", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 249, \"b\": 71, \"c\": -96, \"d\": -242, \"e\": -1}", "seed": "5973201568757492245", "semantic_fingerprint": "sha256:85fafecca2306b02f5699dd6da78d2a715970a2d8166035130db8a9963ea6bff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00003999", "prompt": "Find x: -2(x + 63) = -12(x - 17) + 88", "solution_steps": ["Expand: -2x - 126 = -12(x - 17) + 88", "Expand: -2x - 126 = -12x + 204 + 88", "Combine constants: -2x - 126 = -12x + 292", "Add 12x to both sides: 10x - 126 = 292", "Add 126 to both sides: 10x = 418", "Divide both sides by 10: x = 209/5"], "final_answer": "209/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 63) = -12(x - 17) + 88", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 63, \"c\": -12, \"d\": 17, \"e\": 88}", "seed": "631036408452527173", "semantic_fingerprint": "sha256:0d6edc885c1c3a437b69d14340f25330dbaab58768361c0d05001ffe40493ec2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004000", "prompt": "What is (0 - (-8) - 60) * (-2 / 34)?", "solution_steps": ["Subtract: 0 - (-8) = 8", "Subtract: 8 - 60 = -52", "Divide: -2 / 34 = -1/17", "Multiply: -52 * (-1/17) = 52/17"], "final_answer": "52/17", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-8) - 60) * (-2 / 34)", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": 60, \"d\": -2, \"e\": 34}", "seed": "10779338174124567311", "semantic_fingerprint": "sha256:bc2705e26cf2cb99acf943ba73231cc1a78d6855a0842b37a81a4d8d88242a0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004001", "prompt": "Calculate: -81 / (-8 + 2) + 347 * 264 / (-60)", "solution_steps": ["Add: -8 + 2 = -6", "Divide: -81 / (-6) = 27/2", "Multiply: 347 * 264 = 91608", "Divide: 91608 / (-60) = -7634/5", "Add: 27/2 + (-7634/5) = -15133/10"], "final_answer": "-15133/10", "answer_type": "rational", "kind": "expression", "math_text": "-81 / (-8 + 2) + 347 * 264 / (-60)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -8, \"c\": 2, \"d\": 347, \"e\": 264, \"f\": -60}", "seed": "178549533286967186", "semantic_fingerprint": "sha256:71337c588d03d84074fb4159aa2369039f5ba45dee71b27eeaac0f040da30625", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004002", "prompt": "Compute: (264 / 1 - (-737)) * (0 + (-24))", "solution_steps": ["Divide: 264 / 1 = 264", "Subtract: 264 - (-737) = 1001", "Add: 0 + (-24) = -24", "Multiply: 1001 * (-24) = -24024"], "final_answer": "-24024", "answer_type": "integer", "kind": "expression", "math_text": "(264 / 1 - (-737)) * (0 + (-24))", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 264, \"b\": 1, \"c\": -737, \"d\": 0, \"e\": -24}", "seed": "7915758554080205952", "semantic_fingerprint": "sha256:b2200039a3c45c9422054a25cac840ba58d30e95485a5423eba34682240eb7b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004003", "prompt": "Solve for x: 3x - 219 = 4(x - 57)", "solution_steps": ["Expand: 3x - 219 = 4x - 228", "Subtract 4x from both sides: -x - 219 = -228", "Add 219 to both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 219 = 4(x - 57)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 57, \"e\": -219, \"x\": 9}", "seed": "3451053470302490331", "semantic_fingerprint": "sha256:38f4116258ac9d59017ae869e91c01e176674d6437eb02722774697fca1cbfac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004004", "prompt": "Compute: -515 + (-2 - (-257)) + (-37)", "solution_steps": ["Subtract: -2 - (-257) = 255", "Add: -515 + 255 = -260", "Add: -260 + (-37) = -297"], "final_answer": "-297", "answer_type": "integer", "kind": "expression", "math_text": "-515 + (-2 - (-257)) + (-37)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -515, \"b\": -2, \"c\": -257, \"d\": -37}", "seed": "2706614658472281318", "semantic_fingerprint": "sha256:2502e32d565db55ad84cb5a57575c5a048ae9f09394d93e19ce80653a19da44e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004005", "prompt": "Find x: 9(x + 35) = 4(x - 83) + 642", "solution_steps": ["Expand: 9x + 315 = 4(x - 83) + 642", "Expand: 9x + 315 = 4x - 332 + 642", "Combine constants: 9x + 315 = 4x + 310", "Subtract 4x from both sides: 5x + 315 = 310", "Subtract 315 from both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 35) = 4(x - 83) + 642", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 35, \"c\": 4, \"d\": 83, \"f\": 642, \"x\": -1}", "seed": "8032562871144602934", "semantic_fingerprint": "sha256:b71fe71c514914f4fdc7fd2e7d3732a6af24f7a3359d1f5535429cc49fbbe021", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004006", "prompt": "Find x: 2(x + 43) = 10(x - 62) + 850", "solution_steps": ["Expand: 2x + 86 = 10(x - 62) + 850", "Expand: 2x + 86 = 10x - 620 + 850", "Combine constants: 2x + 86 = 10x + 230", "Subtract 10x from both sides: -8x + 86 = 230", "Subtract 86 from both sides: -8x = 144", "Divide both sides by -8: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 43) = 10(x - 62) + 850", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 43, \"c\": 10, \"d\": 62, \"f\": 850, \"x\": -18}", "seed": "4363528936859016521", "semantic_fingerprint": "sha256:419af5b3b0e2ea1a8ef6e26894db38fe03db022dfbc625f0b327cfb338c1997c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004007", "prompt": "Calculate: (-58 - (-84)) * (-67 + (13 - 1))", "solution_steps": ["Subtract: -58 - (-84) = 26", "Subtract: 13 - 1 = 12", "Add: -67 + 12 = -55", "Multiply: 26 * (-55) = -1430"], "final_answer": "-1430", "answer_type": "integer", "kind": "expression", "math_text": "(-58 - (-84)) * (-67 + (13 - 1))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -84, \"c\": -67, \"d\": 13, \"e\": 1}", "seed": "12228761041133571950", "semantic_fingerprint": "sha256:72c7fb8dc466d9eae556ef98275b77e0f0311bd3b9af05551635e67cb5d9e437", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004008", "prompt": "Compute: (51 - 132) / (79 * 10 + (-11))", "solution_steps": ["Subtract: 51 - 132 = -81", "Multiply: 79 * 10 = 790", "Add: 790 + (-11) = 779", "Divide: -81 / 779 = -81/779"], "final_answer": "-81/779", "answer_type": "rational", "kind": "expression", "math_text": "(51 - 132) / (79 * 10 + (-11))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 132, \"c\": 79, \"d\": 10, \"e\": -11}", "seed": "991102941828542236", "semantic_fingerprint": "sha256:32c14a821c93f85c35cce6a765b4925a8f01201e118ba3f3adbee8e00e9a5877", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004009", "prompt": "What is 8 / (5 / (-72 - 655)) / (-938)?", "solution_steps": ["Subtract: -72 - 655 = -727", "Divide: 5 / (-727) = -5/727", "Divide: 8 / (-5/727) = -5816/5", "Divide: (-5816/5) / (-938) = 2908/2345"], "final_answer": "2908/2345", "answer_type": "rational", "kind": "expression", "math_text": "8 / (5 / (-72 - 655)) / (-938)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": -72, \"d\": 655, \"e\": -938}", "seed": "13144022528819005242", "semantic_fingerprint": "sha256:4e8eaa04d94e5cfc886101067baf813505166c9bebc955e5b6df472dc04557c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004010", "prompt": "What is -7 - (-2) + (-64) + (449 + 764) / (-62)?", "solution_steps": ["Subtract: -7 - (-2) = -5", "Add: -5 + (-64) = -69", "Add: 449 + 764 = 1213", "Divide: 1213 / (-62) = -1213/62", "Add: -69 + (-1213/62) = -5491/62"], "final_answer": "-5491/62", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-2) + (-64) + (449 + 764) / (-62)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -2, \"c\": -64, \"d\": 449, \"e\": 764, \"f\": -62}", "seed": "15105174663090682573", "semantic_fingerprint": "sha256:a0e12c281819db0153f8af251e548eb8046c8686980dce662ee850c69af5182e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004011", "prompt": "Solve the equation -9(x + 7) + 7 = x + 94 for x.", "solution_steps": ["Expand: -9x - 63 + 7 = x + 94", "Combine constants: -9x - 56 = x + 94", "Subtract x from both sides: -10x - 56 = 94", "Add 56 to both sides: -10x = 150", "Divide both sides by -10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 7) + 7 = x + 94", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 7, \"e\": 94, \"x\": -15}", "seed": "15157592469791292931", "semantic_fingerprint": "sha256:27a25612b4d3c32bf2b7fe7089126f02f5dfd8662b9fd772d80aeb5824ede3e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004012", "prompt": "Compute: (8 - (-14) * (-79)) / 24", "solution_steps": ["Multiply: -14 * (-79) = 1106", "Subtract: 8 - 1106 = -1098", "Divide: -1098 / 24 = -183/4"], "final_answer": "-183/4", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-14) * (-79)) / 24", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -14, \"c\": -79, \"d\": 24}", "seed": "2882953046019624465", "semantic_fingerprint": "sha256:b0ffa74b3313315b4364d4edc349f1ecd94f7688d8f937d835d64404abd6515c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004013", "prompt": "Calculate: -8 / (-1) / 892 * (13 + (0 + (-88)))", "solution_steps": ["Divide: -8 / (-1) = 8", "Divide: 8 / 892 = 2/223", "Add: 0 + (-88) = -88", "Add: 13 + (-88) = -75", "Multiply: (2/223) * (-75) = -150/223"], "final_answer": "-150/223", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-1) / 892 * (13 + (0 + (-88)))", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -1, \"c\": 892, \"d\": 13, \"e\": 0, \"f\": -88}", "seed": "11418539633725148574", "semantic_fingerprint": "sha256:73f1bc2f12227bd9211fe9c9f3971cccc2e6eec7d7ff3e51b8e57db89fd2776a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004014", "prompt": "Solve for x: -6(x - 7) + 372 = 4(x + 56)", "solution_steps": ["Expand: -6x + 42 + 372 = 4(x + 56)", "Expand: -6x + 42 + 372 = 4x + 224", "Combine constants: -6x + 414 = 4x + 224", "Subtract 4x from both sides: -10x + 414 = 224", "Subtract 414 from both sides: -10x = -190", "Divide both sides by -10: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 7) + 372 = 4(x + 56)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 4, \"d\": 56, \"f\": 372, \"x\": 19}", "seed": "11670557565718569839", "semantic_fingerprint": "sha256:9b93cea2624682f63116c6e5ae41f9c9a2d2c595c76db79862fb0f3bf59fb1ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004015", "prompt": "Calculate: 79 - (-50) - (5 + 67) + 534 / (-48)", "solution_steps": ["Subtract: 79 - (-50) = 129", "Add: 5 + 67 = 72", "Subtract: 129 - 72 = 57", "Divide: 534 / (-48) = -89/8", "Add: 57 + (-89/8) = 367/8"], "final_answer": "367/8", "answer_type": "rational", "kind": "expression", "math_text": "79 - (-50) - (5 + 67) + 534 / (-48)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -50, \"c\": 5, \"d\": 67, \"e\": 534, \"f\": -48}", "seed": "12798577627515764710", "semantic_fingerprint": "sha256:d42405779ac7ef336ec40709d28677f3dc8ccae1a9432a54c2a7fe06594bf948", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004016", "prompt": "Find x: -11x = 2(x + 60) + 336", "solution_steps": ["Expand: -11x = 2x + 120 + 336", "Combine constants: -11x = 2x + 456", "Subtract 2x from both sides: -13x = 456", "Divide both sides by -13: x = -456/13"], "final_answer": "-456/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = 2(x + 60) + 336", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"c\": 60, \"d\": 336}", "seed": "519199908579305870", "semantic_fingerprint": "sha256:36147b51033f8a9af607915597392d4783bef381c5b39ccb850f3bb4cddaa083", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004017", "prompt": "What is -40 / (-310) / (-9 / (-849 / 97) - 2)?", "solution_steps": ["Divide: -40 / (-310) = 4/31", "Divide: -849 / 97 = -849/97", "Divide: -9 / (-849/97) = 291/283", "Subtract: 291/283 - 2 = -275/283", "Divide: (4/31) / (-275/283) = -1132/8525"], "final_answer": "-1132/8525", "answer_type": "rational", "kind": "expression", "math_text": "-40 / (-310) / (-9 / (-849 / 97) - 2)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (- (/ n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -310, \"c\": -9, \"d\": -849, \"e\": 97, \"f\": 2}", "seed": "12571804834212464797", "semantic_fingerprint": "sha256:563ca7277537974f6214b5300aa42c64fbaef658bbe1c2d9f49f590f577ef3a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004018", "prompt": "Find x: 11(x - 1) - 84 = x + 75", "solution_steps": ["Expand: 11x - 11 - 84 = x + 75", "Combine constants: 11x - 95 = x + 75", "Subtract x from both sides: 10x - 95 = 75", "Add 95 to both sides: 10x = 170", "Divide both sides by 10: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) - 84 = x + 75", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 84, \"e\": 75, \"x\": 17}", "seed": "1425216102647997589", "semantic_fingerprint": "sha256:9f5217bf50b364c60ec5b0ed4336649a65fa4a8be4424f130583fb041581692a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004019", "prompt": "Find x: 9(x + 1) = 8(x - 78) + 87", "solution_steps": ["Expand: 9x + 9 = 8(x - 78) + 87", "Expand: 9x + 9 = 8x - 624 + 87", "Combine constants: 9x + 9 = 8x - 537", "Subtract 8x from both sides: x + 9 = -537", "Subtract 9 from both sides: x = -546"], "final_answer": "-546", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 1) = 8(x - 78) + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 8, \"d\": 78, \"e\": 87}", "seed": "2070943598584807878", "semantic_fingerprint": "sha256:365e2d419bb6b4f31e5cbc6b5ce6d84d0e0ceb35a9d0e518be208cfff7529a73", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004020", "prompt": "What value of x satisfies 8x - 24 = 9x - 11?", "solution_steps": ["Subtract 9x from both sides: -x - 24 = -11", "Add 24 to both sides: -x = 13", "Divide both sides by -1: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 24 = 9x - 11", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 24, \"c\": 9, \"e\": -11, \"x\": -13}", "seed": "12739924291763830773", "semantic_fingerprint": "sha256:7c57c8117aa106572edbb6ebeb6066f57267d2a43a51b8e2cbc79528df4a4f02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004021", "prompt": "Solve the equation 7(x - 2) + 208 = 11(x + 18) for x.", "solution_steps": ["Expand: 7x - 14 + 208 = 11(x + 18)", "Expand: 7x - 14 + 208 = 11x + 198", "Combine constants: 7x + 194 = 11x + 198", "Subtract 11x from both sides: -4x + 194 = 198", "Subtract 194 from both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 2) + 208 = 11(x + 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 11, \"d\": 18, \"f\": 208, \"x\": -1}", "seed": "2938580791002650157", "semantic_fingerprint": "sha256:67f4328059b3f98ad3cd6fb0548f4ddf394c4896b4df91df01cb1db99652eeaa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004022", "prompt": "Evaluate: -1 / (-55) * (-5 * 39 / (-62) * 9)", "solution_steps": ["Divide: -1 / (-55) = 1/55", "Multiply: -5 * 39 = -195", "Divide: -195 / (-62) = 195/62", "Multiply: (195/62) * 9 = 1755/62", "Multiply: (1/55) * (1755/62) = 351/682"], "final_answer": "351/682", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-55) * (-5 * 39 / (-62) * 9)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (* (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -55, \"c\": -5, \"d\": 39, \"e\": -62, \"f\": 9}", "seed": "7883060244567214379", "semantic_fingerprint": "sha256:bc3941635bc3a448636fd67f5a01748ac411270c7b5c3f61503e40248a5bf9a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004023", "prompt": "What is (4 + (-680)) / 6 + 764?", "solution_steps": ["Add: 4 + (-680) = -676", "Divide: -676 / 6 = -338/3", "Add: -338/3 + 764 = 1954/3"], "final_answer": "1954/3", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-680)) / 6 + 764", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -680, \"c\": 6, \"d\": 764}", "seed": "806656847824098507", "semantic_fingerprint": "sha256:65bd2d4343d09e299ebb3df12f7b5da9183594d4416b4f9f2bce9dff12752577", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004024", "prompt": "Compute: 82 + (-86 + 0 * 0 + (-829))", "solution_steps": ["Multiply: 0 * 0 = 0", "Add: -86 + 0 = -86", "Add: -86 + (-829) = -915", "Add: 82 + (-915) = -833"], "final_answer": "-833", "answer_type": "integer", "kind": "expression", "math_text": "82 + (-86 + 0 * 0 + (-829))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -86, \"c\": 0, \"d\": 0, \"e\": -829}", "seed": "13813062834176710231", "semantic_fingerprint": "sha256:e0fa3de36465b1c7d8ba58563474ffdea69c7397ec04e3e7c17db9e1880fbefa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004025", "prompt": "Solve for x: -4x = -10(x + 5) - 16", "solution_steps": ["Expand: -4x = -10x - 50 - 16", "Combine constants: -4x = -10x - 66", "Add 10x to both sides: 6x = -66", "Divide both sides by 6: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = -10(x + 5) - 16", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -10, \"c\": 5, \"e\": -16, \"x\": -11}", "seed": "14370980875035660703", "semantic_fingerprint": "sha256:3fcae7d2aa9f3297550cefc59acfdd2cc2339cc3035c6956a9ca2125719d15a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004026", "prompt": "Solve for x: 7x = 2(x + 267) - 629", "solution_steps": ["Expand: 7x = 2x + 534 - 629", "Combine constants: 7x = 2x - 95", "Subtract 2x from both sides: 5x = -95", "Divide both sides by 5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 2(x + 267) - 629", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 267, \"e\": -629, \"x\": -19}", "seed": "15579020255117024918", "semantic_fingerprint": "sha256:ab12c92d466e49636fc11fcc447c3c721b66243b1d1abc7bbff15158122d9146", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004027", "prompt": "Solve for x: 10x - 178 = -2x - 142", "solution_steps": ["Add 2x to both sides: 12x - 178 = -142", "Add 178 to both sides: 12x = 36", "Divide both sides by 12: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 178 = -2x - 142", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 178, \"c\": -2, \"e\": -142, \"x\": 3}", "seed": "9058930261301385714", "semantic_fingerprint": "sha256:48743fb3cffb1be6c1a39eb4358e6f6dde9e301cdcb6217cdbe27762a15e3aff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004028", "prompt": "Compute: 182 / (301 / (-24)) / (39 + (-15))", "solution_steps": ["Divide: 301 / (-24) = -301/24", "Divide: 182 / (-301/24) = -624/43", "Add: 39 + (-15) = 24", "Divide: (-624/43) / 24 = -26/43"], "final_answer": "-26/43", "answer_type": "rational", "kind": "expression", "math_text": "182 / (301 / (-24)) / (39 + (-15))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 182, \"b\": 301, \"c\": -24, \"d\": 39, \"e\": -15}", "seed": "16218337663360768036", "semantic_fingerprint": "sha256:fa0bca6f000de651379bedd04d741708c729dd90916bd740176e8fb5c8f141dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004029", "prompt": "Solve for x: 10(x - 494) + 3 = 9(x + 4)", "solution_steps": ["Expand: 10x - 4940 + 3 = 9(x + 4)", "Expand: 10x - 4940 + 3 = 9x + 36", "Combine constants: 10x - 4937 = 9x + 36", "Subtract 9x from both sides: x - 4937 = 36", "Add 4937 to both sides: x = 4973"], "final_answer": "4973", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 494) + 3 = 9(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 494, \"c\": 3, \"d\": 9, \"e\": 4}", "seed": "11692614921074944691", "semantic_fingerprint": "sha256:56636889b6e91bf28ee2248a8c216bda591574c7ea083d9a6ddc9bb3a2199b91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004030", "prompt": "What is (517 - 7 * (-36)) / (-512)?", "solution_steps": ["Multiply: 7 * (-36) = -252", "Subtract: 517 - (-252) = 769", "Divide: 769 / (-512) = -769/512"], "final_answer": "-769/512", "answer_type": "rational", "kind": "expression", "math_text": "(517 - 7 * (-36)) / (-512)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 517, \"b\": 7, \"c\": -36, \"d\": -512}", "seed": "9162442326616408816", "semantic_fingerprint": "sha256:cd93b0b2eaebd073d9aa6065be7e8b7a694a92038be626f22c0f5812bc1fac23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004031", "prompt": "Solve the equation 8x - 2 = -2(x - 88) for x.", "solution_steps": ["Expand: 8x - 2 = -2x + 176", "Add 2x to both sides: 10x - 2 = 176", "Add 2 to both sides: 10x = 178", "Divide both sides by 10: x = 89/5"], "final_answer": "89/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 2 = -2(x - 88)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": -2, \"d\": 88}", "seed": "10423353789697096105", "semantic_fingerprint": "sha256:14cd61a60a963094fd46526cad44d0d3cb6c259501dbecece68508c05725f659", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004032", "prompt": "What value of x satisfies 12x = -5(x + 46) + 281?", "solution_steps": ["Expand: 12x = -5x - 230 + 281", "Combine constants: 12x = -5x + 51", "Add 5x to both sides: 17x = 51", "Divide both sides by 17: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -5(x + 46) + 281", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -5, \"c\": 46, \"e\": 281, \"x\": 3}", "seed": "17678795191710208745", "semantic_fingerprint": "sha256:3d1289c616e0cefcc71470d9ec3c93061834cbc63d195743adc4bc60d20adc06", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004033", "prompt": "Compute: 39 / (-53 - 0 - (-54) * (-16)) * (-56)", "solution_steps": ["Subtract: -53 - 0 = -53", "Multiply: -54 * (-16) = 864", "Subtract: -53 - 864 = -917", "Divide: 39 / (-917) = -39/917", "Multiply: (-39/917) * (-56) = 312/131"], "final_answer": "312/131", "answer_type": "rational", "kind": "expression", "math_text": "39 / (-53 - 0 - (-54) * (-16)) * (-56)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- (- n n) (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -53, \"c\": 0, \"d\": -54, \"e\": -16, \"f\": -56}", "seed": "964605872958001222", "semantic_fingerprint": "sha256:385b916024298fb1c1510b9aacedb53148e1a63636d5de37796b4afa88845072", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004034", "prompt": "Evaluate: ((-182 + 2) * (-582) - (-4)) / (-64 - 3)", "solution_steps": ["Add: -182 + 2 = -180", "Multiply: -180 * (-582) = 104760", "Subtract: 104760 - (-4) = 104764", "Subtract: -64 - 3 = -67", "Divide: 104764 / (-67) = -104764/67"], "final_answer": "-104764/67", "answer_type": "rational", "kind": "expression", "math_text": "((-182 + 2) * (-582) - (-4)) / (-64 - 3)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -182, \"b\": 2, \"c\": -582, \"d\": -4, \"e\": -64, \"f\": 3}", "seed": "2295233469871069233", "semantic_fingerprint": "sha256:90b74448d3c6de6680378b9f78a5792f02499c0d59eea7b9f6c0c4770828d39c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004035", "prompt": "Find x: 8x - 4 = -8(x - 587)", "solution_steps": ["Expand: 8x - 4 = -8x + 4696", "Add 8x to both sides: 16x - 4 = 4696", "Add 4 to both sides: 16x = 4700", "Divide both sides by 16: x = 1175/4"], "final_answer": "1175/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 4 = -8(x - 587)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": -8, \"d\": 587}", "seed": "12551160850172137189", "semantic_fingerprint": "sha256:23f80919614b1a143d8155de74a199ff46dea200714192d0c8131d01cd516a42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004036", "prompt": "What is -578 / (-360 / 66) - 6 * 320?", "solution_steps": ["Divide: -360 / 66 = -60/11", "Divide: -578 / (-60/11) = 3179/30", "Multiply: 6 * 320 = 1920", "Subtract: 3179/30 - 1920 = -54421/30"], "final_answer": "-54421/30", "answer_type": "rational", "kind": "expression", "math_text": "-578 / (-360 / 66) - 6 * 320", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -578, \"b\": -360, \"c\": 66, \"d\": 6, \"e\": 320}", "seed": "8207905271900730813", "semantic_fingerprint": "sha256:748bd9cf3d67718dfce4713e385dede222da4d98ec4f35c7788f3fad9c5f9352", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004037", "prompt": "Solve the equation -5x = 10(x + 40) - 550 for x.", "solution_steps": ["Expand: -5x = 10x + 400 - 550", "Combine constants: -5x = 10x - 150", "Subtract 10x from both sides: -15x = -150", "Divide both sides by -15: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 10(x + 40) - 550", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 10, \"c\": 40, \"e\": -550, \"x\": 10}", "seed": "6643841659363597125", "semantic_fingerprint": "sha256:e88db05e731a6a4b141edabf78fe60f639c882f5ff052f294ff4a8403e0caa0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004038", "prompt": "Evaluate: -50 * (-5 / (6 / (-5) + 44))", "solution_steps": ["Divide: 6 / (-5) = -6/5", "Add: -6/5 + 44 = 214/5", "Divide: -5 / (214/5) = -25/214", "Multiply: -50 * (-25/214) = 625/107"], "final_answer": "625/107", "answer_type": "rational", "kind": "expression", "math_text": "-50 * (-5 / (6 / (-5) + 44))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -5, \"c\": 6, \"d\": -5, \"e\": 44}", "seed": "3416569804824682648", "semantic_fingerprint": "sha256:c79fb8968ae70854c7007bb36c91a3003afe02e388d5be909a08b0d73f6578b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004039", "prompt": "Calculate: 72 + (2 / (-3 / 7) + (-9 + 81))", "solution_steps": ["Divide: -3 / 7 = -3/7", "Divide: 2 / (-3/7) = -14/3", "Add: -9 + 81 = 72", "Add: -14/3 + 72 = 202/3", "Add: 72 + 202/3 = 418/3"], "final_answer": "418/3", "answer_type": "rational", "kind": "expression", "math_text": "72 + (2 / (-3 / 7) + (-9 + 81))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 2, \"c\": -3, \"d\": 7, \"e\": -9, \"f\": 81}", "seed": "15382741873336630787", "semantic_fingerprint": "sha256:a50e8c7df388b7941a612c24fa17b3ea4e57f1b81f71092d6c782853d22b4fb0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004040", "prompt": "Evaluate: (0 + 786) / (9 - (-696) / (-438))", "solution_steps": ["Add: 0 + 786 = 786", "Divide: -696 / (-438) = 116/73", "Subtract: 9 - 116/73 = 541/73", "Divide: 786 / (541/73) = 57378/541"], "final_answer": "57378/541", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 786) / (9 - (-696) / (-438))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 786, \"c\": 9, \"d\": -696, \"e\": -438}", "seed": "15664236608600237337", "semantic_fingerprint": "sha256:89542b20d80eae9e4350bf3c11d285ca862142d4724f4b76177fee70721afefb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004041", "prompt": "Solve for x: 8(x + 4) = 3(x - 149) + 524", "solution_steps": ["Expand: 8x + 32 = 3(x - 149) + 524", "Expand: 8x + 32 = 3x - 447 + 524", "Combine constants: 8x + 32 = 3x + 77", "Subtract 3x from both sides: 5x + 32 = 77", "Subtract 32 from both sides: 5x = 45", "Divide both sides by 5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 4) = 3(x - 149) + 524", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 3, \"d\": 149, \"f\": 524, \"x\": 9}", "seed": "14302842917127910425", "semantic_fingerprint": "sha256:6f0f321f68119b20d30302f3ac35f5d35c274228d87c35a8cf75e5f2006db19a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004042", "prompt": "What value of x satisfies -9x = 11(x + 38) - 198?", "solution_steps": ["Expand: -9x = 11x + 418 - 198", "Combine constants: -9x = 11x + 220", "Subtract 11x from both sides: -20x = 220", "Divide both sides by -20: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 11(x + 38) - 198", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 11, \"c\": 38, \"e\": -198, \"x\": -11}", "seed": "14654742537016558235", "semantic_fingerprint": "sha256:f009d5bf0b58983841679d885bfc8dc57c7d27aad65073446429a915379736df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004043", "prompt": "What value of x satisfies 10(x + 27) = -10(x - 54) + 4?", "solution_steps": ["Expand: 10x + 270 = -10(x - 54) + 4", "Expand: 10x + 270 = -10x + 540 + 4", "Combine constants: 10x + 270 = -10x + 544", "Add 10x to both sides: 20x + 270 = 544", "Subtract 270 from both sides: 20x = 274", "Divide both sides by 20: x = 137/10"], "final_answer": "137/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 27) = -10(x - 54) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 27, \"c\": -10, \"d\": 54, \"e\": 4}", "seed": "13267866708068615832", "semantic_fingerprint": "sha256:393497e72fc6b3662d3e3289100e561975005bf4768911bb3f6a1287d2fe65f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004044", "prompt": "Evaluate: (0 / (-209) - 9) * 693", "solution_steps": ["Divide: 0 / (-209) = 0", "Subtract: 0 - 9 = -9", "Multiply: -9 * 693 = -6237"], "final_answer": "-6237", "answer_type": "integer", "kind": "expression", "math_text": "(0 / (-209) - 9) * 693", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -209, \"c\": 9, \"d\": 693}", "seed": "11901289694953333393", "semantic_fingerprint": "sha256:654930c7e3042075a6ccf3efcb2d2cc859d875b51a037ba22116c05071ebdaa1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004045", "prompt": "What value of x satisfies 12(x - 3) + 8 = 2(x + 12)?", "solution_steps": ["Expand: 12x - 36 + 8 = 2(x + 12)", "Expand: 12x - 36 + 8 = 2x + 24", "Combine constants: 12x - 28 = 2x + 24", "Subtract 2x from both sides: 10x - 28 = 24", "Add 28 to both sides: 10x = 52", "Divide both sides by 10: x = 26/5"], "final_answer": "26/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 3) + 8 = 2(x + 12)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 8, \"d\": 2, \"e\": 12}", "seed": "6164424183348862932", "semantic_fingerprint": "sha256:23b9bb4d70e63a2868410895e7fc17d38ff968c91461dc31a88babb027b21ab6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004046", "prompt": "Solve for x: 4x - 77 = -4x - 229", "solution_steps": ["Add 4x to both sides: 8x - 77 = -229", "Add 77 to both sides: 8x = -152", "Divide both sides by 8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 77 = -4x - 229", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 77, \"c\": -4, \"e\": -229, \"x\": -19}", "seed": "865926873149161815", "semantic_fingerprint": "sha256:bdd21bf2b4117d11dc9f407e8249a1c931e07da37fe23422dc49d00cd8a5d6df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004047", "prompt": "What is -4 * (-18 * (-9)) * 470?", "solution_steps": ["Multiply: -18 * (-9) = 162", "Multiply: -4 * 162 = -648", "Multiply: -648 * 470 = -304560"], "final_answer": "-304560", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-18 * (-9)) * 470", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -18, \"c\": -9, \"d\": 470}", "seed": "7827515694616043551", "semantic_fingerprint": "sha256:0b121278521fde1ee8f15e7fd7a287c6166b1368d95aa2253a4feb95eef794c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004048", "prompt": "Compute: -35 * (898 + 94 * 9)", "solution_steps": ["Multiply: 94 * 9 = 846", "Add: 898 + 846 = 1744", "Multiply: -35 * 1744 = -61040"], "final_answer": "-61040", "answer_type": "integer", "kind": "expression", "math_text": "-35 * (898 + 94 * 9)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 898, \"c\": 94, \"d\": 9}", "seed": "8381307154620333044", "semantic_fingerprint": "sha256:c5e44a4f472da954dfdd83602a83fc13cf718969d240469fbbd27dd2bfd3dd3f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004049", "prompt": "What is -55 - 605 / 4 + (-4) - (-9)?", "solution_steps": ["Divide: 605 / 4 = 605/4", "Subtract: -55 - 605/4 = -825/4", "Add: -825/4 + (-4) = -841/4", "Subtract: -841/4 - (-9) = -805/4"], "final_answer": "-805/4", "answer_type": "rational", "kind": "expression", "math_text": "-55 - 605 / 4 + (-4) - (-9)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 605, \"c\": 4, \"d\": -4, \"e\": -9}", "seed": "17570447057599803799", "semantic_fingerprint": "sha256:292a1c6ea988a6f9ed969520a3672793a524d95b7d31ee123fc62c90115d40b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004050", "prompt": "Evaluate: -274 * (-326) / (57 - (4 + (-30)) - (-52))", "solution_steps": ["Multiply: -274 * (-326) = 89324", "Add: 4 + (-30) = -26", "Subtract: 57 - (-26) = 83", "Subtract: 83 - (-52) = 135", "Divide: 89324 / 135 = 89324/135"], "final_answer": "89324/135", "answer_type": "rational", "kind": "expression", "math_text": "-274 * (-326) / (57 - (4 + (-30)) - (-52))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -274, \"b\": -326, \"c\": 57, \"d\": 4, \"e\": -30, \"f\": -52}", "seed": "13623127090777604404", "semantic_fingerprint": "sha256:30f4fc53909c5bc3970c45b85acb510bd881f1b132637d914f007bc4bf225480", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004051", "prompt": "Evaluate: -461 * 45 + (-646 - (-83))", "solution_steps": ["Multiply: -461 * 45 = -20745", "Subtract: -646 - (-83) = -563", "Add: -20745 + (-563) = -21308"], "final_answer": "-21308", "answer_type": "integer", "kind": "expression", "math_text": "-461 * 45 + (-646 - (-83))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -461, \"b\": 45, \"c\": -646, \"d\": -83}", "seed": "9377584297991052703", "semantic_fingerprint": "sha256:30481c8b29bd677c1761e57dd4d398db6ae2e406586731548bff538eb8bc6130", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004052", "prompt": "Solve the equation 8x - 119 = 3(x - 8) for x.", "solution_steps": ["Expand: 8x - 119 = 3x - 24", "Subtract 3x from both sides: 5x - 119 = -24", "Add 119 to both sides: 5x = 95", "Divide both sides by 5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 119 = 3(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 8, \"e\": -119, \"x\": 19}", "seed": "16032995057926794689", "semantic_fingerprint": "sha256:f11a1f25df3a7fe0a282b45f48cc451f82a84d146b9f04867a1e28f6bba3642f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004053", "prompt": "What is (-84 + (-188)) / 79 + (-16)?", "solution_steps": ["Add: -84 + (-188) = -272", "Divide: -272 / 79 = -272/79", "Add: -272/79 + (-16) = -1536/79"], "final_answer": "-1536/79", "answer_type": "rational", "kind": "expression", "math_text": "(-84 + (-188)) / 79 + (-16)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -188, \"c\": 79, \"d\": -16}", "seed": "15578105284332102523", "semantic_fingerprint": "sha256:ef6758829d0064ff8e55156c28a310947717e9efee08fa2376ce0ec0ab7c5062", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004054", "prompt": "Evaluate: 60 - (0 + (-1)) / (-402)", "solution_steps": ["Add: 0 + (-1) = -1", "Divide: -1 / (-402) = 1/402", "Subtract: 60 - 1/402 = 24119/402"], "final_answer": "24119/402", "answer_type": "rational", "kind": "expression", "math_text": "60 - (0 + (-1)) / (-402)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 0, \"c\": -1, \"d\": -402}", "seed": "16304965919235694017", "semantic_fingerprint": "sha256:1d8369516bf1ebeb8aaf9359120828a6048c9bf5d9d5479b72614a9093311687", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004055", "prompt": "What is 3 - (20 + (-1)) - (8 - (-33)) * 925?", "solution_steps": ["Add: 20 + (-1) = 19", "Subtract: 3 - 19 = -16", "Subtract: 8 - (-33) = 41", "Multiply: 41 * 925 = 37925", "Subtract: -16 - 37925 = -37941"], "final_answer": "-37941", "answer_type": "integer", "kind": "expression", "math_text": "3 - (20 + (-1)) - (8 - (-33)) * 925", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 20, \"c\": -1, \"d\": 8, \"e\": -33, \"f\": 925}", "seed": "18404057024140877475", "semantic_fingerprint": "sha256:76d4ca6b042c7edf2acb50889e60b4628309bdc7a3b9ead04be04326ca2be349", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004056", "prompt": "Solve the equation -8(x + 3) = 2(x - 11) + 1 for x.", "solution_steps": ["Expand: -8x - 24 = 2(x - 11) + 1", "Expand: -8x - 24 = 2x - 22 + 1", "Combine constants: -8x - 24 = 2x - 21", "Subtract 2x from both sides: -10x - 24 = -21", "Add 24 to both sides: -10x = 3", "Divide both sides by -10: x = -3/10"], "final_answer": "-3/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 3) = 2(x - 11) + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 2, \"d\": 11, \"e\": 1}", "seed": "3669459936491875022", "semantic_fingerprint": "sha256:7027685102a5da2971cef663d57a6eecd8dc80d44ab6922a9c078f0613e908e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004057", "prompt": "What value of x satisfies 9(x + 98) - 15 = x + 739?", "solution_steps": ["Expand: 9x + 882 - 15 = x + 739", "Combine constants: 9x + 867 = x + 739", "Subtract x from both sides: 8x + 867 = 739", "Subtract 867 from both sides: 8x = -128", "Divide both sides by 8: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 98) - 15 = x + 739", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 98, \"c\": 15, \"e\": 739, \"x\": -16}", "seed": "18065335673431430690", "semantic_fingerprint": "sha256:11c3b9010a39e30f35047121c51fc8ecb3a13100bb004c4265cdad2d2de063da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004058", "prompt": "Solve for x: 2(x - 29) - 83 = x + 686", "solution_steps": ["Expand: 2x - 58 - 83 = x + 686", "Combine constants: 2x - 141 = x + 686", "Subtract x from both sides: x - 141 = 686", "Add 141 to both sides: x = 827"], "final_answer": "827", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 29) - 83 = x + 686", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 29, \"c\": 83, \"d\": 686}", "seed": "7194241113264944495", "semantic_fingerprint": "sha256:9ccb63548b38394d8d90d9a2a22532172a198916d564aeb2d70458e20495d977", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004059", "prompt": "Compute: (-6 - 9 * 86) / (-26 / (-9) - 4)", "solution_steps": ["Multiply: 9 * 86 = 774", "Subtract: -6 - 774 = -780", "Divide: -26 / (-9) = 26/9", "Subtract: 26/9 - 4 = -10/9", "Divide: -780 / (-10/9) = 702"], "final_answer": "702", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - 9 * 86) / (-26 / (-9) - 4)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 86, \"d\": -26, \"e\": -9, \"f\": 4}", "seed": "15338472051697081153", "semantic_fingerprint": "sha256:e837712ce19c8b0dbf85e809cf972e17853e8d17d45bcf8b6564438528d87435", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004060", "prompt": "Solve the equation 7x = 8(x + 1) - 23 for x.", "solution_steps": ["Expand: 7x = 8x + 8 - 23", "Combine constants: 7x = 8x - 15", "Subtract 8x from both sides: -x = -15", "Divide both sides by -1: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 8(x + 1) - 23", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 1, \"e\": -23, \"x\": 15}", "seed": "6096318633981030591", "semantic_fingerprint": "sha256:c0b383f234687c324399bac0b3744d65f416f80a9298e56ed26cdb7c7d33ba05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004061", "prompt": "Calculate: 72 / (-10 / 843) + 3", "solution_steps": ["Divide: -10 / 843 = -10/843", "Divide: 72 / (-10/843) = -30348/5", "Add: -30348/5 + 3 = -30333/5"], "final_answer": "-30333/5", "answer_type": "rational", "kind": "expression", "math_text": "72 / (-10 / 843) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -10, \"c\": 843, \"d\": 3}", "seed": "246158382633221934", "semantic_fingerprint": "sha256:b6d60d953ef2179aa9de6839be185a6584128aafefb61daed8bc8ccfbcaaba20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004062", "prompt": "Evaluate: 0 * (-53 - 375) * (-6 - (-405) + 541)", "solution_steps": ["Subtract: -53 - 375 = -428", "Multiply: 0 * (-428) = 0", "Subtract: -6 - (-405) = 399", "Add: 399 + 541 = 940", "Multiply: 0 * 940 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-53 - 375) * (-6 - (-405) + 541)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -53, \"c\": 375, \"d\": -6, \"e\": -405, \"f\": 541}", "seed": "13570196430857100443", "semantic_fingerprint": "sha256:01e552dbf05754506b35d7e5b46f313becc44886be6e2b53a06fb11023f862a4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004063", "prompt": "Solve for x: 3(x + 65) = -11(x - 244) + 740", "solution_steps": ["Expand: 3x + 195 = -11(x - 244) + 740", "Expand: 3x + 195 = -11x + 2684 + 740", "Combine constants: 3x + 195 = -11x + 3424", "Add 11x to both sides: 14x + 195 = 3424", "Subtract 195 from both sides: 14x = 3229", "Divide both sides by 14: x = 3229/14"], "final_answer": "3229/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 65) = -11(x - 244) + 740", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 65, \"c\": -11, \"d\": 244, \"e\": 740}", "seed": "16824924597247936282", "semantic_fingerprint": "sha256:632298d53c4d5ab4987a4a390425007028db92713f66aade6fed2b6a435e5ddf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004064", "prompt": "What value of x satisfies 11(x - 3) + 9 = 10(x + 60)?", "solution_steps": ["Expand: 11x - 33 + 9 = 10(x + 60)", "Expand: 11x - 33 + 9 = 10x + 600", "Combine constants: 11x - 24 = 10x + 600", "Subtract 10x from both sides: x - 24 = 600", "Add 24 to both sides: x = 624"], "final_answer": "624", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 3) + 9 = 10(x + 60)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 9, \"d\": 10, \"e\": 60}", "seed": "18132061357381660002", "semantic_fingerprint": "sha256:7ac06b201b148174a1a13c154272cb34f66c2d1e5ad73651e128b586d156e394", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004065", "prompt": "Solve the equation -4x = 10(x + 9) - 328 for x.", "solution_steps": ["Expand: -4x = 10x + 90 - 328", "Combine constants: -4x = 10x - 238", "Subtract 10x from both sides: -14x = -238", "Divide both sides by -14: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 10(x + 9) - 328", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 10, \"c\": 9, \"e\": -328, \"x\": 17}", "seed": "5919838135685777833", "semantic_fingerprint": "sha256:4ff87389fed68d7a7a98d3ff1ed0c9707cd28e63825c9f22f71edbfac775900a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004066", "prompt": "What value of x satisfies 9(x + 74) = 11(x - 3) + 663?", "solution_steps": ["Expand: 9x + 666 = 11(x - 3) + 663", "Expand: 9x + 666 = 11x - 33 + 663", "Combine constants: 9x + 666 = 11x + 630", "Subtract 11x from both sides: -2x + 666 = 630", "Subtract 666 from both sides: -2x = -36", "Divide both sides by -2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 74) = 11(x - 3) + 663", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 74, \"c\": 11, \"d\": 3, \"f\": 663, \"x\": 18}", "seed": "1890376735656697048", "semantic_fingerprint": "sha256:1dfef8d7e32f2cc81e0ca62fb57cf242f4cf215420fd2e9cdf716cc27d23f110", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004067", "prompt": "Compute: -358 * (-9) + (-572) * 59", "solution_steps": ["Multiply: -358 * (-9) = 3222", "Multiply: -572 * 59 = -33748", "Add: 3222 + (-33748) = -30526"], "final_answer": "-30526", "answer_type": "integer", "kind": "expression", "math_text": "-358 * (-9) + (-572) * 59", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -358, \"b\": -9, \"c\": -572, \"d\": 59}", "seed": "685920846206414820", "semantic_fingerprint": "sha256:0cbccf765ff8ccbf62b2c3d1ffc45f0961de536a3a598d1fad619eada33fb71c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004068", "prompt": "Find x: 4(x - 5) - 8 = x + 5", "solution_steps": ["Expand: 4x - 20 - 8 = x + 5", "Combine constants: 4x - 28 = x + 5", "Subtract x from both sides: 3x - 28 = 5", "Add 28 to both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 5) - 8 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 8, \"d\": 5}", "seed": "9416749003453280022", "semantic_fingerprint": "sha256:7389101e743fcc4e404efbf06461e7a1df55f2f171d54b7fbc5832f94dba8528", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004069", "prompt": "Calculate: 549 * 41 - (-818) + (-74) / (-4)", "solution_steps": ["Multiply: 549 * 41 = 22509", "Subtract: 22509 - (-818) = 23327", "Divide: -74 / (-4) = 37/2", "Add: 23327 + 37/2 = 46691/2"], "final_answer": "46691/2", "answer_type": "rational", "kind": "expression", "math_text": "549 * 41 - (-818) + (-74) / (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 549, \"b\": 41, \"c\": -818, \"d\": -74, \"e\": -4}", "seed": "9610416150377425142", "semantic_fingerprint": "sha256:d7b90264a869aca850c8b7bf4781beadcf8e6b26831a395e4ca572b26249b4c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004070", "prompt": "Evaluate: 627 + (2 - (8 + (-70)))", "solution_steps": ["Add: 8 + (-70) = -62", "Subtract: 2 - (-62) = 64", "Add: 627 + 64 = 691"], "final_answer": "691", "answer_type": "integer", "kind": "expression", "math_text": "627 + (2 - (8 + (-70)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 627, \"b\": 2, \"c\": 8, \"d\": -70}", "seed": "11287384492436384115", "semantic_fingerprint": "sha256:087be8345d8e07cf46e3d966d9bad5ea3ea569ec31c657c57c4f623b5038cb96", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004071", "prompt": "Evaluate: -3 / 15 * (-5 / 551)", "solution_steps": ["Divide: -3 / 15 = -1/5", "Divide: -5 / 551 = -5/551", "Multiply: (-1/5) * (-5/551) = 1/551"], "final_answer": "1/551", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 15 * (-5 / 551)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 15, \"c\": -5, \"d\": 551}", "seed": "16552562390463148687", "semantic_fingerprint": "sha256:f0163aa3fb98363ac33899b4dbfede8007a48fee0b0a165f1425a98168a7111b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004072", "prompt": "Evaluate: (-805 * 0 - 10 * 82) * (-7 - 93)", "solution_steps": ["Multiply: -805 * 0 = 0", "Multiply: 10 * 82 = 820", "Subtract: 0 - 820 = -820", "Subtract: -7 - 93 = -100", "Multiply: -820 * (-100) = 82000"], "final_answer": "82000", "answer_type": "integer", "kind": "expression", "math_text": "(-805 * 0 - 10 * 82) * (-7 - 93)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -805, \"b\": 0, \"c\": 10, \"d\": 82, \"e\": -7, \"f\": 93}", "seed": "10398808064948335168", "semantic_fingerprint": "sha256:bb098cc8adcdbb8f749bbbb2de9a68bb0bcaa1980a1bcc8da326868a40249bbd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004073", "prompt": "Evaluate: -613 - (-8) - 410 * (-62 + 964)", "solution_steps": ["Subtract: -613 - (-8) = -605", "Add: -62 + 964 = 902", "Multiply: 410 * 902 = 369820", "Subtract: -605 - 369820 = -370425"], "final_answer": "-370425", "answer_type": "integer", "kind": "expression", "math_text": "-613 - (-8) - 410 * (-62 + 964)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -613, \"b\": -8, \"c\": 410, \"d\": -62, \"e\": 964}", "seed": "14194511157015430859", "semantic_fingerprint": "sha256:a7864d2070ef836760dc48cf897fb427ab661a1dc4a542d3d066a2625d236e3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004074", "prompt": "Solve the equation 4(x - 1) - 36 = x + 80 for x.", "solution_steps": ["Expand: 4x - 4 - 36 = x + 80", "Combine constants: 4x - 40 = x + 80", "Subtract x from both sides: 3x - 40 = 80", "Add 40 to both sides: 3x = 120", "Divide both sides by 3: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) - 36 = x + 80", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 36, \"d\": 80}", "seed": "12290460267709912472", "semantic_fingerprint": "sha256:848b5d72937f226afae634614591fee205bd576c8bc359bfab0daf164aefe8e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004075", "prompt": "Evaluate: (23 * 188 - 4) * (27 * 7)", "solution_steps": ["Multiply: 23 * 188 = 4324", "Subtract: 4324 - 4 = 4320", "Multiply: 27 * 7 = 189", "Multiply: 4320 * 189 = 816480"], "final_answer": "816480", "answer_type": "integer", "kind": "expression", "math_text": "(23 * 188 - 4) * (27 * 7)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 188, \"c\": 4, \"d\": 27, \"e\": 7}", "seed": "1779541177594684124", "semantic_fingerprint": "sha256:74d04ec42c06bc5c75b4c219f53a20613d9e7cb3d17763cfae5cf19187034963", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004076", "prompt": "Solve the equation -2x - 82 = 2(x - 21) for x.", "solution_steps": ["Expand: -2x - 82 = 2x - 42", "Subtract 2x from both sides: -4x - 82 = -42", "Add 82 to both sides: -4x = 40", "Divide both sides by -4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 82 = 2(x - 21)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 21, \"e\": -82, \"x\": -10}", "seed": "14860616884259250256", "semantic_fingerprint": "sha256:ed446eae09a922a850d9f1c1f2aad96e265fc6bb2cb1b2b3d85c740a1d78d18e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004077", "prompt": "Find x: -11(x - 1) - 80 = x + 75", "solution_steps": ["Expand: -11x + 11 - 80 = x + 75", "Combine constants: -11x - 69 = x + 75", "Subtract x from both sides: -12x - 69 = 75", "Add 69 to both sides: -12x = 144", "Divide both sides by -12: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 1) - 80 = x + 75", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"c\": 80, \"e\": 75, \"x\": -12}", "seed": "3724348975846958683", "semantic_fingerprint": "sha256:b828b235bf1ce210b43256b7386cd8944d282b70bdfd571ab375dfed0e382ac4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004078", "prompt": "Solve for x: 9x = 8(x + 77) - 618", "solution_steps": ["Expand: 9x = 8x + 616 - 618", "Combine constants: 9x = 8x - 2", "Subtract 8x from both sides: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8(x + 77) - 618", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 77, \"e\": -618, \"x\": -2}", "seed": "18256655105786826158", "semantic_fingerprint": "sha256:c9548a0d0483a40759a2cd9cd7006c2406cd7d70b9b7d56efb497c08fb4b4f62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004079", "prompt": "Compute: (-440 - (-98)) / (-4 * (486 / (584 * (-3))))", "solution_steps": ["Subtract: -440 - (-98) = -342", "Multiply: 584 * (-3) = -1752", "Divide: 486 / (-1752) = -81/292", "Multiply: -4 * (-81/292) = 81/73", "Divide: -342 / (81/73) = -2774/9"], "final_answer": "-2774/9", "answer_type": "rational", "kind": "expression", "math_text": "(-440 - (-98)) / (-4 * (486 / (584 * (-3))))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (* n (/ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -440, \"b\": -98, \"c\": -4, \"d\": 486, \"e\": 584, \"f\": -3}", "seed": "7822385357345431643", "semantic_fingerprint": "sha256:14c9c76df817364d79a9f62c5d845d84652a4e6542a08fa25823512f62d07eab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004080", "prompt": "Solve the equation 8x - 143 = 4x - 163 for x.", "solution_steps": ["Subtract 4x from both sides: 4x - 143 = -163", "Add 143 to both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 143 = 4x - 163", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 143, \"c\": 4, \"e\": -163, \"x\": -5}", "seed": "6990486267477851411", "semantic_fingerprint": "sha256:439dbf7c08b9584c9d2271678fc457033acb4b89a68f31a9e47e967c2b57b3a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004081", "prompt": "Solve the equation 4x - 778 = -6x - 928 for x.", "solution_steps": ["Add 6x to both sides: 10x - 778 = -928", "Add 778 to both sides: 10x = -150", "Divide both sides by 10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 778 = -6x - 928", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 778, \"c\": -6, \"e\": -928, \"x\": -15}", "seed": "9194657282300207466", "semantic_fingerprint": "sha256:778f375ac8da8bffd17f409ef4ee1ab2b4f95291daa2cf895b4d975684674771", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004082", "prompt": "Calculate: (-877 - 557) * (-73) / (296 - (-7))", "solution_steps": ["Subtract: -877 - 557 = -1434", "Multiply: -1434 * (-73) = 104682", "Subtract: 296 - (-7) = 303", "Divide: 104682 / 303 = 34894/101"], "final_answer": "34894/101", "answer_type": "rational", "kind": "expression", "math_text": "(-877 - 557) * (-73) / (296 - (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -877, \"b\": 557, \"c\": -73, \"d\": 296, \"e\": -7}", "seed": "1752584726427805790", "semantic_fingerprint": "sha256:087977c86aca769c054d39baeeb3409c76ef8bb623d8064c04fea24bf4624329", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004083", "prompt": "Solve for x: 5x - 64 = -4(x - 966)", "solution_steps": ["Expand: 5x - 64 = -4x + 3864", "Add 4x to both sides: 9x - 64 = 3864", "Add 64 to both sides: 9x = 3928", "Divide both sides by 9: x = 3928/9"], "final_answer": "3928/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 64 = -4(x - 966)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 64, \"c\": -4, \"d\": 966}", "seed": "15586014514188174867", "semantic_fingerprint": "sha256:7a2f7157068c905df9d66eb5d96115ac01645be7f768adc42c210663eb936b9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004084", "prompt": "Compute: 96 * (-6) + 436 * 54", "solution_steps": ["Multiply: 96 * (-6) = -576", "Multiply: 436 * 54 = 23544", "Add: -576 + 23544 = 22968"], "final_answer": "22968", "answer_type": "integer", "kind": "expression", "math_text": "96 * (-6) + 436 * 54", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -6, \"c\": 436, \"d\": 54}", "seed": "1968251434598265217", "semantic_fingerprint": "sha256:33331eb0fe21fafb7d574fa82cea940966249135286ae5b614446f4042902a9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004085", "prompt": "Compute: 4 / 26 / (-497 / 4) + (-93)", "solution_steps": ["Divide: 4 / 26 = 2/13", "Divide: -497 / 4 = -497/4", "Divide: (2/13) / (-497/4) = -8/6461", "Add: -8/6461 + (-93) = -600881/6461"], "final_answer": "-600881/6461", "answer_type": "rational", "kind": "expression", "math_text": "4 / 26 / (-497 / 4) + (-93)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 26, \"c\": -497, \"d\": 4, \"e\": -93}", "seed": "4526934457716818376", "semantic_fingerprint": "sha256:324686f7c7c24bcd9e284aefe5d6d0fe8d23bfc55dd5d3be18fa7a8078492c31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004086", "prompt": "Evaluate: -26 + (90 - (734 + 6))", "solution_steps": ["Add: 734 + 6 = 740", "Subtract: 90 - 740 = -650", "Add: -26 + (-650) = -676"], "final_answer": "-676", "answer_type": "integer", "kind": "expression", "math_text": "-26 + (90 - (734 + 6))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 90, \"c\": 734, \"d\": 6}", "seed": "14209870700584248710", "semantic_fingerprint": "sha256:515cab4061c39b09158f0a4ce4ec426ef1c77daf37e4644c709c807ac00414f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004087", "prompt": "Find x: -12x - 559 = 11(x - 9)", "solution_steps": ["Expand: -12x - 559 = 11x - 99", "Subtract 11x from both sides: -23x - 559 = -99", "Add 559 to both sides: -23x = 460", "Divide both sides by -23: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 559 = 11(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 11, \"c\": 9, \"e\": -559, \"x\": -20}", "seed": "4762680728676893893", "semantic_fingerprint": "sha256:aba3a1949760848482365bf5b2cc4ed6cac7bdaf890d1e0e7627d73a86b2a6ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004088", "prompt": "What is -4 * (63 / (-24)) + 31 * (-937 / 6)?", "solution_steps": ["Divide: 63 / (-24) = -21/8", "Multiply: -4 * (-21/8) = 21/2", "Divide: -937 / 6 = -937/6", "Multiply: 31 * (-937/6) = -29047/6", "Add: 21/2 + (-29047/6) = -14492/3"], "final_answer": "-14492/3", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (63 / (-24)) + 31 * (-937 / 6)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 63, \"c\": -24, \"d\": 31, \"e\": -937, \"f\": 6}", "seed": "12120294829281890560", "semantic_fingerprint": "sha256:6cce5623798ab153d62b79c8a97bdcdf025f000d1895554d9ea74730cc7b1af3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004089", "prompt": "What is 9 * (-58) * (-9 + (-611) + (-8))?", "solution_steps": ["Multiply: 9 * (-58) = -522", "Add: -9 + (-611) = -620", "Add: -620 + (-8) = -628", "Multiply: -522 * (-628) = 327816"], "final_answer": "327816", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-58) * (-9 + (-611) + (-8))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -58, \"c\": -9, \"d\": -611, \"e\": -8}", "seed": "16020287445807029166", "semantic_fingerprint": "sha256:40fe8ce83a905023cb2d3f89a9fe542888596de9e77d186e7b42046eeabb5566", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004090", "prompt": "What value of x satisfies 10x = 5(x + 45) - 320?", "solution_steps": ["Expand: 10x = 5x + 225 - 320", "Combine constants: 10x = 5x - 95", "Subtract 5x from both sides: 5x = -95", "Divide both sides by 5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 5(x + 45) - 320", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 45, \"e\": -320, \"x\": -19}", "seed": "6702657034229174277", "semantic_fingerprint": "sha256:af852be76037e156babc7bda9b1f00ea345b9f787a5b0269a2052615a38a3ec8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004091", "prompt": "What value of x satisfies -6x - 106 = 2(x - 5)?", "solution_steps": ["Expand: -6x - 106 = 2x - 10", "Subtract 2x from both sides: -8x - 106 = -10", "Add 106 to both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 106 = 2(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 5, \"e\": -106, \"x\": -12}", "seed": "8685575701379639648", "semantic_fingerprint": "sha256:85dead8bafa361039f9a0fe7b55b99904021cc010aca00a0d18292cf94a3aced", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004092", "prompt": "Compute: -68 * (-3) + 70 * 31", "solution_steps": ["Multiply: -68 * (-3) = 204", "Multiply: 70 * 31 = 2170", "Add: 204 + 2170 = 2374"], "final_answer": "2374", "answer_type": "integer", "kind": "expression", "math_text": "-68 * (-3) + 70 * 31", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -3, \"c\": 70, \"d\": 31}", "seed": "86266468018168316", "semantic_fingerprint": "sha256:cb43df34430589dcc06296b490906ab84b81c659b0550b616acef6c402f3873c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004093", "prompt": "Compute: -81 / 918 * 59 - (-8) * (-75)", "solution_steps": ["Divide: -81 / 918 = -3/34", "Multiply: (-3/34) * 59 = -177/34", "Multiply: -8 * (-75) = 600", "Subtract: -177/34 - 600 = -20577/34"], "final_answer": "-20577/34", "answer_type": "rational", "kind": "expression", "math_text": "-81 / 918 * 59 - (-8) * (-75)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 918, \"c\": 59, \"d\": -8, \"e\": -75}", "seed": "14086102568967751327", "semantic_fingerprint": "sha256:e8eb398a5cc90dbf5f49b72f421aa3c8395c41d65d522f3bd92757902d292fdb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004094", "prompt": "Solve for x: 9x - 102 = 10(x - 10)", "solution_steps": ["Expand: 9x - 102 = 10x - 100", "Subtract 10x from both sides: -x - 102 = -100", "Add 102 to both sides: -x = 2", "Divide both sides by -1: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 102 = 10(x - 10)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 10, \"e\": -102, \"x\": -2}", "seed": "17552255892223412034", "semantic_fingerprint": "sha256:8a0864543d4172cf77d9b927e5e17e492609766135d4c7a75913345a656ba87f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004095", "prompt": "What is -18 / (2 * 5 * 38 + (-18))?", "solution_steps": ["Multiply: 2 * 5 = 10", "Multiply: 10 * 38 = 380", "Add: 380 + (-18) = 362", "Divide: -18 / 362 = -9/181"], "final_answer": "-9/181", "answer_type": "rational", "kind": "expression", "math_text": "-18 / (2 * 5 * 38 + (-18))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 2, \"c\": 5, \"d\": 38, \"e\": -18}", "seed": "5018748499165123398", "semantic_fingerprint": "sha256:5ab47c9d1f8a8b364328f6f6f8f0295c49c61d8f3cd6e788a7b3ebe8f5fd55ec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004096", "prompt": "Compute: -85 / (39 / (-49) / 9) * (-19) * 3", "solution_steps": ["Divide: 39 / (-49) = -39/49", "Divide: (-39/49) / 9 = -13/147", "Divide: -85 / (-13/147) = 12495/13", "Multiply: (12495/13) * (-19) = -237405/13", "Multiply: (-237405/13) * 3 = -712215/13"], "final_answer": "-712215/13", "answer_type": "rational", "kind": "expression", "math_text": "-85 / (39 / (-49) / 9) * (-19) * 3", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n (/ (/ n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 39, \"c\": -49, \"d\": 9, \"e\": -19, \"f\": 3}", "seed": "8907676153661370201", "semantic_fingerprint": "sha256:d2abd66b2b5a844f262969a0f5dc2b39ca572f2230797da9ddd4943fe78865ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004097", "prompt": "Evaluate: (-879 + 10) * (8 + (-6)) * (-1)", "solution_steps": ["Add: -879 + 10 = -869", "Add: 8 + (-6) = 2", "Multiply: -869 * 2 = -1738", "Multiply: -1738 * (-1) = 1738"], "final_answer": "1738", "answer_type": "integer", "kind": "expression", "math_text": "(-879 + 10) * (8 + (-6)) * (-1)", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -879, \"b\": 10, \"c\": 8, \"d\": -6, \"e\": -1}", "seed": "15270411656222726061", "semantic_fingerprint": "sha256:56ad3b6dfbd0c1c6709ec797e1bbe1fb1146ef6e6717241a771796324c6be101", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004098", "prompt": "What value of x satisfies 5x - 46 = 9x - 18?", "solution_steps": ["Subtract 9x from both sides: -4x - 46 = -18", "Add 46 to both sides: -4x = 28", "Divide both sides by -4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 46 = 9x - 18", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 46, \"c\": 9, \"e\": -18, \"x\": -7}", "seed": "12200633313535079389", "semantic_fingerprint": "sha256:6faed1c074f40514040330401b0e196b62902ab2369c95a61a2bab2bf3938148", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004099", "prompt": "What is (534 + (-14)) / (-58 + (-13))?", "solution_steps": ["Add: 534 + (-14) = 520", "Add: -58 + (-13) = -71", "Divide: 520 / (-71) = -520/71"], "final_answer": "-520/71", "answer_type": "rational", "kind": "expression", "math_text": "(534 + (-14)) / (-58 + (-13))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 534, \"b\": -14, \"c\": -58, \"d\": -13}", "seed": "10102016134272769052", "semantic_fingerprint": "sha256:f37eec9cca6f17215ad5a80884a42e9a67d6f81b63c87c24f153b8858d8c2fd6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004100", "prompt": "Evaluate: (-530 + (57 + 382)) / (-21) + (-266)", "solution_steps": ["Add: 57 + 382 = 439", "Add: -530 + 439 = -91", "Divide: -91 / (-21) = 13/3", "Add: 13/3 + (-266) = -785/3"], "final_answer": "-785/3", "answer_type": "rational", "kind": "expression", "math_text": "(-530 + (57 + 382)) / (-21) + (-266)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -530, \"b\": 57, \"c\": 382, \"d\": -21, \"e\": -266}", "seed": "15397205654199356480", "semantic_fingerprint": "sha256:74ea6212e615c93ea112fdfe91f35b3e8ee63285a282d3386caaa50563bfd1f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004101", "prompt": "Calculate: 56 - (-756) * (-24) + (-9) * (-37)", "solution_steps": ["Multiply: -756 * (-24) = 18144", "Subtract: 56 - 18144 = -18088", "Multiply: -9 * (-37) = 333", "Add: -18088 + 333 = -17755"], "final_answer": "-17755", "answer_type": "integer", "kind": "expression", "math_text": "56 - (-756) * (-24) + (-9) * (-37)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -756, \"c\": -24, \"d\": -9, \"e\": -37}", "seed": "15031465936416772320", "semantic_fingerprint": "sha256:25c36c95ade11d07009cb64096c5918e4bc09bbd26bcc260abd3c38d688b315f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004102", "prompt": "Solve the equation 6(x + 35) + 51 = x + 321 for x.", "solution_steps": ["Expand: 6x + 210 + 51 = x + 321", "Combine constants: 6x + 261 = x + 321", "Subtract x from both sides: 5x + 261 = 321", "Subtract 261 from both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 35) + 51 = x + 321", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 35, \"c\": 51, \"e\": 321, \"x\": 12}", "seed": "15735248347607084206", "semantic_fingerprint": "sha256:ababaa645b618285430ac5384aef1215ac6a3de283029ca0ae8e20f31064da3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004103", "prompt": "Solve the equation -9(x + 77) - 1 = x + 25 for x.", "solution_steps": ["Expand: -9x - 693 - 1 = x + 25", "Combine constants: -9x - 694 = x + 25", "Subtract x from both sides: -10x - 694 = 25", "Add 694 to both sides: -10x = 719", "Divide both sides by -10: x = -719/10"], "final_answer": "-719/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 77) - 1 = x + 25", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 77, \"c\": 1, \"d\": 25}", "seed": "12870478343482017542", "semantic_fingerprint": "sha256:7c057230b57c7a3853127bb6c30fffc3cfee4ab2ed76834b6e9712dc5c18a842", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004104", "prompt": "Compute: 77 / 96 * (0 + 630 + (-62))", "solution_steps": ["Divide: 77 / 96 = 77/96", "Add: 0 + 630 = 630", "Add: 630 + (-62) = 568", "Multiply: (77/96) * 568 = 5467/12"], "final_answer": "5467/12", "answer_type": "rational", "kind": "expression", "math_text": "77 / 96 * (0 + 630 + (-62))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 96, \"c\": 0, \"d\": 630, \"e\": -62}", "seed": "12368748934757605822", "semantic_fingerprint": "sha256:67450e6f21c1c03c7c774b69a2030395d96bfa485a41b01f198a6c03c0743d64", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004105", "prompt": "Find x: 2(x - 6) + 154 = 8(x + 11)", "solution_steps": ["Expand: 2x - 12 + 154 = 8(x + 11)", "Expand: 2x - 12 + 154 = 8x + 88", "Combine constants: 2x + 142 = 8x + 88", "Subtract 8x from both sides: -6x + 142 = 88", "Subtract 142 from both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 6) + 154 = 8(x + 11)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 8, \"d\": 11, \"f\": 154, \"x\": 9}", "seed": "4146023301088230326", "semantic_fingerprint": "sha256:e1e799951fba99a2d89e9a78ee749d5c2e7c204f4ac32ed44ddc0d9cfad2156d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004106", "prompt": "Calculate: 4 / (-2) - (-14) * (-187 + 89)", "solution_steps": ["Divide: 4 / (-2) = -2", "Add: -187 + 89 = -98", "Multiply: -14 * (-98) = 1372", "Subtract: -2 - 1372 = -1374"], "final_answer": "-1374", "answer_type": "integer", "kind": "expression", "math_text": "4 / (-2) - (-14) * (-187 + 89)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": -14, \"d\": -187, \"e\": 89}", "seed": "3350852652380238508", "semantic_fingerprint": "sha256:2d316f2e39b8655f473a83951e06adf6d9d9da967310a1d97c116bfe9e7fe7a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004107", "prompt": "Solve for x: -10(x - 42) + 472 = 2(x + 404)", "solution_steps": ["Expand: -10x + 420 + 472 = 2(x + 404)", "Expand: -10x + 420 + 472 = 2x + 808", "Combine constants: -10x + 892 = 2x + 808", "Subtract 2x from both sides: -12x + 892 = 808", "Subtract 892 from both sides: -12x = -84", "Divide both sides by -12: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 42) + 472 = 2(x + 404)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 42, \"c\": 2, \"d\": 404, \"f\": 472, \"x\": 7}", "seed": "9740352804784906168", "semantic_fingerprint": "sha256:f74e026a3349d63e6a53ee404d4f98d54f915857aad05c8a5dbd617d9c8d0bb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004108", "prompt": "Solve for x: 2(x + 80) = 11(x - 6) + 379", "solution_steps": ["Expand: 2x + 160 = 11(x - 6) + 379", "Expand: 2x + 160 = 11x - 66 + 379", "Combine constants: 2x + 160 = 11x + 313", "Subtract 11x from both sides: -9x + 160 = 313", "Subtract 160 from both sides: -9x = 153", "Divide both sides by -9: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 80) = 11(x - 6) + 379", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 80, \"c\": 11, \"d\": 6, \"f\": 379, \"x\": -17}", "seed": "10873793418214609727", "semantic_fingerprint": "sha256:1aa6a23d2ea3be540109e8d0cff48a79af52ab8d0c8c24e54a610525cb3df671", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004109", "prompt": "Find x: 4x = -7(x + 8) - 11", "solution_steps": ["Expand: 4x = -7x - 56 - 11", "Combine constants: 4x = -7x - 67", "Add 7x to both sides: 11x = -67", "Divide both sides by 11: x = -67/11"], "final_answer": "-67/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = -7(x + 8) - 11", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -7, \"c\": 8, \"d\": 11}", "seed": "2143557749584489012", "semantic_fingerprint": "sha256:b1d05aaca98390dcbc0221f1cb3bde77210650d297837dc71877ddcd9eaae170", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004110", "prompt": "What is -79 + 6 / ((6 - (97 + 0)) * (-2))?", "solution_steps": ["Add: 97 + 0 = 97", "Subtract: 6 - 97 = -91", "Multiply: -91 * (-2) = 182", "Divide: 6 / 182 = 3/91", "Add: -79 + 3/91 = -7186/91"], "final_answer": "-7186/91", "answer_type": "rational", "kind": "expression", "math_text": "-79 + 6 / ((6 - (97 + 0)) * (-2))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (* (- n (+ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 6, \"c\": 6, \"d\": 97, \"e\": 0, \"f\": -2}", "seed": "5164931431150947879", "semantic_fingerprint": "sha256:5f1d596af6e03dac198f0131a28516ccdc39075e3cd1d5282e2a8e0a45713051", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004111", "prompt": "What is 2 * 0 + (203 - 33)?", "solution_steps": ["Multiply: 2 * 0 = 0", "Subtract: 203 - 33 = 170", "Add: 0 + 170 = 170"], "final_answer": "170", "answer_type": "integer", "kind": "expression", "math_text": "2 * 0 + (203 - 33)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": 203, \"d\": 33}", "seed": "11821640979253157189", "semantic_fingerprint": "sha256:db4f2c186d500107092f78d94a604debc7758c44ad04a0da6811cf9b0a75f884", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004112", "prompt": "Solve for x: 2x = 12(x + 36) + 706", "solution_steps": ["Expand: 2x = 12x + 432 + 706", "Combine constants: 2x = 12x + 1138", "Subtract 12x from both sides: -10x = 1138", "Divide both sides by -10: x = -569/5"], "final_answer": "-569/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 12(x + 36) + 706", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 36, \"d\": 706}", "seed": "5985904540503016685", "semantic_fingerprint": "sha256:3c5018d8476beac9d974af18d24a102834365122d836c270c63902a42bc658db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004113", "prompt": "What is 0 / 90 / (-5 + (-789) + 4 * 32)?", "solution_steps": ["Divide: 0 / 90 = 0", "Add: -5 + (-789) = -794", "Multiply: 4 * 32 = 128", "Add: -794 + 128 = -666", "Divide: 0 / (-666) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 90 / (-5 + (-789) + 4 * 32)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (+ (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 90, \"c\": -5, \"d\": -789, \"e\": 4, \"f\": 32}", "seed": "12932374069847840323", "semantic_fingerprint": "sha256:255ace1b99f8385877c728bff72cd883bc2e0ebdbb5a550b8564a9dc1a0f7b9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004114", "prompt": "Compute: (7 + 53 + 13) * (-8 * (-83 - 69))", "solution_steps": ["Add: 7 + 53 = 60", "Add: 60 + 13 = 73", "Subtract: -83 - 69 = -152", "Multiply: -8 * (-152) = 1216", "Multiply: 73 * 1216 = 88768"], "final_answer": "88768", "answer_type": "integer", "kind": "expression", "math_text": "(7 + 53 + 13) * (-8 * (-83 - 69))", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 53, \"c\": 13, \"d\": -8, \"e\": -83, \"f\": 69}", "seed": "12677845136234352609", "semantic_fingerprint": "sha256:f6e34b47cdac08a4e1ccc712e21fe9c4078206f5d487cb68497c2125ae591e18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004115", "prompt": "Solve for x: 11x - 2 = -12x - 370", "solution_steps": ["Add 12x to both sides: 23x - 2 = -370", "Add 2 to both sides: 23x = -368", "Divide both sides by 23: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 2 = -12x - 370", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": -12, \"e\": -370, \"x\": -16}", "seed": "1969167419817172788", "semantic_fingerprint": "sha256:7a5fe0d682c47cdd6b2381d88398e2ea162f24786011ae59eda01652ad97d8cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004116", "prompt": "Calculate: -9 * 5 * (1 + (-7 + (-5)))", "solution_steps": ["Multiply: -9 * 5 = -45", "Add: -7 + (-5) = -12", "Add: 1 + (-12) = -11", "Multiply: -45 * (-11) = 495"], "final_answer": "495", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 5 * (1 + (-7 + (-5)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 1, \"d\": -7, \"e\": -5}", "seed": "8842412190192023159", "semantic_fingerprint": "sha256:77abd09c1efb41ae114f2e5bc3c9c4dcd819b5dce8005be5a95333bf0e68ebd7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004117", "prompt": "Evaluate: -51 / (9 / (-6)) * (-99 - (-70))", "solution_steps": ["Divide: 9 / (-6) = -3/2", "Divide: -51 / (-3/2) = 34", "Subtract: -99 - (-70) = -29", "Multiply: 34 * (-29) = -986"], "final_answer": "-986", "answer_type": "integer", "kind": "expression", "math_text": "-51 / (9 / (-6)) * (-99 - (-70))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 9, \"c\": -6, \"d\": -99, \"e\": -70}", "seed": "15349442530621416075", "semantic_fingerprint": "sha256:41614b6184e19a1205f6d67ed76d5f05878adf5231f21b6513454fb115bcec42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004118", "prompt": "What value of x satisfies -12x = 5(x + 943) + 2?", "solution_steps": ["Expand: -12x = 5x + 4715 + 2", "Combine constants: -12x = 5x + 4717", "Subtract 5x from both sides: -17x = 4717", "Divide both sides by -17: x = -4717/17"], "final_answer": "-4717/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 5(x + 943) + 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"c\": 943, \"d\": 2}", "seed": "16068811153483074761", "semantic_fingerprint": "sha256:79e3619eb635f7d46a0f1e357abd684551cc5ec57e3ec4aa18094de22c379ef7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004119", "prompt": "Find x: 3(x - 211) + 912 = 12(x + 12)", "solution_steps": ["Expand: 3x - 633 + 912 = 12(x + 12)", "Expand: 3x - 633 + 912 = 12x + 144", "Combine constants: 3x + 279 = 12x + 144", "Subtract 12x from both sides: -9x + 279 = 144", "Subtract 279 from both sides: -9x = -135", "Divide both sides by -9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 211) + 912 = 12(x + 12)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 211, \"c\": 12, \"d\": 12, \"f\": 912, \"x\": 15}", "seed": "9617205037621127009", "semantic_fingerprint": "sha256:e62cabd352b281463ef826f0618c2d97e869fe362c82ca5569e7923b5728c269", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004120", "prompt": "What is (-25 - (8 + 0)) * (-5)?", "solution_steps": ["Add: 8 + 0 = 8", "Subtract: -25 - 8 = -33", "Multiply: -33 * (-5) = 165"], "final_answer": "165", "answer_type": "integer", "kind": "expression", "math_text": "(-25 - (8 + 0)) * (-5)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 8, \"c\": 0, \"d\": -5}", "seed": "3252981019809542610", "semantic_fingerprint": "sha256:380f1663783d8b356ed22a4ac8e43f44c2caf999db21c5693dc48b2462007057", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004121", "prompt": "Solve for x: 4(x + 28) + 2 = x + 96", "solution_steps": ["Expand: 4x + 112 + 2 = x + 96", "Combine constants: 4x + 114 = x + 96", "Subtract x from both sides: 3x + 114 = 96", "Subtract 114 from both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 28) + 2 = x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 28, \"c\": 2, \"e\": 96, \"x\": -6}", "seed": "10961798914271071375", "semantic_fingerprint": "sha256:98379b92649282cd997f5b3e8f5990f1942feb0d0f114d24e808bacc86bc1696", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004122", "prompt": "Calculate: -14 * (36 + 5 * 8)", "solution_steps": ["Multiply: 5 * 8 = 40", "Add: 36 + 40 = 76", "Multiply: -14 * 76 = -1064"], "final_answer": "-1064", "answer_type": "integer", "kind": "expression", "math_text": "-14 * (36 + 5 * 8)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 36, \"c\": 5, \"d\": 8}", "seed": "11182876603109132717", "semantic_fingerprint": "sha256:130dc2f6ebdb3d2f490ac55beca850a19e4bcd70f94b3a3cd940757552f8c842", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004123", "prompt": "Calculate: 7 - 0 * (-50 / 609)", "solution_steps": ["Divide: -50 / 609 = -50/609", "Multiply: 0 * (-50/609) = 0", "Subtract: 7 - 0 = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "7 - 0 * (-50 / 609)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 0, \"c\": -50, \"d\": 609}", "seed": "12054610949749164915", "semantic_fingerprint": "sha256:0f3eb72f4efdb13977b9edd55faaae33d6de63edbfa7ebecf45aaaa0ee2767ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004124", "prompt": "Evaluate: 1 + (9 + 792) * (-3) / (-18)", "solution_steps": ["Add: 9 + 792 = 801", "Multiply: 801 * (-3) = -2403", "Divide: -2403 / (-18) = 267/2", "Add: 1 + 267/2 = 269/2"], "final_answer": "269/2", "answer_type": "rational", "kind": "expression", "math_text": "1 + (9 + 792) * (-3) / (-18)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"c\": 792, \"d\": -3, \"e\": -18}", "seed": "5456181565218732567", "semantic_fingerprint": "sha256:ed762402f395f1b1322aa2a62fa09691e585fcb472d343e9e0c70079f0567d33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004125", "prompt": "What value of x satisfies -4(x + 21) + 7 = x + 3?", "solution_steps": ["Expand: -4x - 84 + 7 = x + 3", "Combine constants: -4x - 77 = x + 3", "Subtract x from both sides: -5x - 77 = 3", "Add 77 to both sides: -5x = 80", "Divide both sides by -5: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 21) + 7 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 21, \"c\": 7, \"d\": 3}", "seed": "13978705778635277760", "semantic_fingerprint": "sha256:608a82f855106671d8075ccc1fbf75fd0ea03f9d229a9556c618008a8340f4b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004126", "prompt": "Solve the equation 4(x + 810) + 308 = x + 968 for x.", "solution_steps": ["Expand: 4x + 3240 + 308 = x + 968", "Combine constants: 4x + 3548 = x + 968", "Subtract x from both sides: 3x + 3548 = 968", "Subtract 3548 from both sides: 3x = -2580", "Divide both sides by 3: x = -860"], "final_answer": "-860", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 810) + 308 = x + 968", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 810, \"c\": 308, \"d\": 968}", "seed": "4258875846094990451", "semantic_fingerprint": "sha256:6cbd18e3637c21545584f39c17dd1dbfeb5d393ad7de8bfd7be05718275fa21b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004127", "prompt": "Solve the equation -2x = 4(x + 95) - 314 for x.", "solution_steps": ["Expand: -2x = 4x + 380 - 314", "Combine constants: -2x = 4x + 66", "Subtract 4x from both sides: -6x = 66", "Divide both sides by -6: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 4(x + 95) - 314", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 95, \"e\": -314, \"x\": -11}", "seed": "13145942099866552950", "semantic_fingerprint": "sha256:b171e74f13b3f29ee0da8974890e3a1437d319bb3ae0d5239d65e2900d9f1451", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004128", "prompt": "What is -9 + (-42) + 132 + (83 + 2)?", "solution_steps": ["Add: -9 + (-42) = -51", "Add: -51 + 132 = 81", "Add: 83 + 2 = 85", "Add: 81 + 85 = 166"], "final_answer": "166", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-42) + 132 + (83 + 2)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -42, \"c\": 132, \"d\": 83, \"e\": 2}", "seed": "16142891681595617406", "semantic_fingerprint": "sha256:defc9c88a5c828888cf0a78cecf5390c758c50bf3fc0096e4dc08eb6a90d8a14", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004129", "prompt": "Solve for x: 6(x + 99) - 90 = x + 409", "solution_steps": ["Expand: 6x + 594 - 90 = x + 409", "Combine constants: 6x + 504 = x + 409", "Subtract x from both sides: 5x + 504 = 409", "Subtract 504 from both sides: 5x = -95", "Divide both sides by 5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 99) - 90 = x + 409", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 99, \"c\": 90, \"e\": 409, \"x\": -19}", "seed": "14050113729028097496", "semantic_fingerprint": "sha256:fd2c57eea3cf7ee1b5b8f5ec11a6fd072079e4aae046bfcfacf14586f0781872", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004130", "prompt": "Solve for x: 5(x + 3) + 49 = x + 6", "solution_steps": ["Expand: 5x + 15 + 49 = x + 6", "Combine constants: 5x + 64 = x + 6", "Subtract x from both sides: 4x + 64 = 6", "Subtract 64 from both sides: 4x = -58", "Divide both sides by 4: x = -29/2"], "final_answer": "-29/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 3) + 49 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 49, \"d\": 6}", "seed": "1846953509647965522", "semantic_fingerprint": "sha256:a1894e4e50e4b3485077985280b78dc47c43d67716d03b6dd73212617f4518a4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004131", "prompt": "Compute: (70 + (-18)) / (-948) + (-6)", "solution_steps": ["Add: 70 + (-18) = 52", "Divide: 52 / (-948) = -13/237", "Add: -13/237 + (-6) = -1435/237"], "final_answer": "-1435/237", "answer_type": "rational", "kind": "expression", "math_text": "(70 + (-18)) / (-948) + (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -18, \"c\": -948, \"d\": -6}", "seed": "12779107417660028291", "semantic_fingerprint": "sha256:d4514561d293a75be4dbc8e4562f4fcdedbe4ea3625eff7c9dae49e8a8ba736c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004132", "prompt": "Calculate: 363 * (-9) - (42 / (-33) - (-96))", "solution_steps": ["Multiply: 363 * (-9) = -3267", "Divide: 42 / (-33) = -14/11", "Subtract: -14/11 - (-96) = 1042/11", "Subtract: -3267 - 1042/11 = -36979/11"], "final_answer": "-36979/11", "answer_type": "rational", "kind": "expression", "math_text": "363 * (-9) - (42 / (-33) - (-96))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 363, \"b\": -9, \"c\": 42, \"d\": -33, \"e\": -96}", "seed": "4589332724998528716", "semantic_fingerprint": "sha256:8a626cc4066a99707f768bec8929eb06c1be68cddbb5453b687ae21fff8ad80e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004133", "prompt": "Find x: 7x = 6(x + 6) - 35", "solution_steps": ["Expand: 7x = 6x + 36 - 35", "Combine constants: 7x = 6x + 1", "Subtract 6x from both sides: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 6(x + 6) - 35", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 6, \"e\": -35, \"x\": 1}", "seed": "3936376108986069729", "semantic_fingerprint": "sha256:92613dc48005929eee62b50b77392ccceb3aff7040521b7fad58c9c8fbef7219", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004134", "prompt": "Compute: -2 * (7 * 7) + (-856)", "solution_steps": ["Multiply: 7 * 7 = 49", "Multiply: -2 * 49 = -98", "Add: -98 + (-856) = -954"], "final_answer": "-954", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (7 * 7) + (-856)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 7, \"d\": -856}", "seed": "13732578608441376116", "semantic_fingerprint": "sha256:f5efaafd36236cc8cab0ab5b7f20cd1a96e918c54e64c5914fac6713adae85ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004135", "prompt": "Compute: -7 / 8 * (35 / 7)", "solution_steps": ["Divide: -7 / 8 = -7/8", "Divide: 35 / 7 = 5", "Multiply: (-7/8) * 5 = -35/8"], "final_answer": "-35/8", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 8 * (35 / 7)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 35, \"d\": 7}", "seed": "2006108940601789342", "semantic_fingerprint": "sha256:fcdff11512d923a0622d7590a8dabada47c43378ec97c0d6524c3c9336373ff1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004136", "prompt": "Solve for x: 12(x - 266) - 9 = x + 891", "solution_steps": ["Expand: 12x - 3192 - 9 = x + 891", "Combine constants: 12x - 3201 = x + 891", "Subtract x from both sides: 11x - 3201 = 891", "Add 3201 to both sides: 11x = 4092", "Divide both sides by 11: x = 372"], "final_answer": "372", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 266) - 9 = x + 891", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 266, \"c\": 9, \"d\": 891}", "seed": "8846662385909577826", "semantic_fingerprint": "sha256:f2549e8c32531dde65098adf2a9c5cc0d5aef9dede5499231c0a9fa4e42257a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004137", "prompt": "What value of x satisfies 12x - 25 = 10x - 39?", "solution_steps": ["Subtract 10x from both sides: 2x - 25 = -39", "Add 25 to both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 25 = 10x - 39", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 25, \"c\": 10, \"e\": -39, \"x\": -7}", "seed": "2156988473773082169", "semantic_fingerprint": "sha256:b592b07d9cc330a5fea79229b99d7731c0fdd32935f699774ee877450fa80d88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004138", "prompt": "Calculate: 9 * (-54) + (-52) + (-83)", "solution_steps": ["Multiply: 9 * (-54) = -486", "Add: -486 + (-52) = -538", "Add: -538 + (-83) = -621"], "final_answer": "-621", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-54) + (-52) + (-83)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -54, \"c\": -52, \"d\": -83}", "seed": "9032033252941857924", "semantic_fingerprint": "sha256:989510c25af51bfc0966fbd6db824ab9583da6ee02dae008cf58a06ecda03dad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004139", "prompt": "Solve the equation 3(x - 882) - 52 = x + 853 for x.", "solution_steps": ["Expand: 3x - 2646 - 52 = x + 853", "Combine constants: 3x - 2698 = x + 853", "Subtract x from both sides: 2x - 2698 = 853", "Add 2698 to both sides: 2x = 3551", "Divide both sides by 2: x = 3551/2"], "final_answer": "3551/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 882) - 52 = x + 853", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 882, \"c\": 52, \"d\": 853}", "seed": "13305495353591061034", "semantic_fingerprint": "sha256:45035e277ef0a5f27d2a2bd094483629b94c737b6a96f2e42963ed8241621e39", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004140", "prompt": "What value of x satisfies 3(x + 19) - 26 = x + 9?", "solution_steps": ["Expand: 3x + 57 - 26 = x + 9", "Combine constants: 3x + 31 = x + 9", "Subtract x from both sides: 2x + 31 = 9", "Subtract 31 from both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 19) - 26 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 19, \"c\": 26, \"e\": 9, \"x\": -11}", "seed": "6289871001197117565", "semantic_fingerprint": "sha256:7a61ff817fe151e38623f0f51f8b9ff3fa903d3eca78e247d16415b6692860a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004141", "prompt": "Solve for x: 10x = 8(x + 7) - 60", "solution_steps": ["Expand: 10x = 8x + 56 - 60", "Combine constants: 10x = 8x - 4", "Subtract 8x from both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 8(x + 7) - 60", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 7, \"e\": -60, \"x\": -2}", "seed": "10210056767590810697", "semantic_fingerprint": "sha256:617efe3ed3237331f2a601d059cc984ae04e82bb45b6fc25950afa36852e9bfe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004142", "prompt": "What value of x satisfies 2x - 8 = 8x - 56?", "solution_steps": ["Subtract 8x from both sides: -6x - 8 = -56", "Add 8 to both sides: -6x = -48", "Divide both sides by -6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 8 = 8x - 56", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 8, \"e\": -56, \"x\": 8}", "seed": "12266465535233645718", "semantic_fingerprint": "sha256:0de2587a37916d5ae1a44c8e8672189a9f97abc5c3a0cbc042ec4fda4b83816f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004143", "prompt": "Compute: (-989 + 7) * 93 - (-94 - 524)", "solution_steps": ["Add: -989 + 7 = -982", "Multiply: -982 * 93 = -91326", "Subtract: -94 - 524 = -618", "Subtract: -91326 - (-618) = -90708"], "final_answer": "-90708", "answer_type": "integer", "kind": "expression", "math_text": "(-989 + 7) * 93 - (-94 - 524)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -989, \"b\": 7, \"c\": 93, \"d\": -94, \"e\": 524}", "seed": "15833667921737926287", "semantic_fingerprint": "sha256:0904ee1a80d3690c7b85b060919d9e9e32c1eb9d7ed3f6bcd1b9124d046c5801", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004144", "prompt": "What is (9 - 428 * 1) / (-85)?", "solution_steps": ["Multiply: 428 * 1 = 428", "Subtract: 9 - 428 = -419", "Divide: -419 / (-85) = 419/85"], "final_answer": "419/85", "answer_type": "rational", "kind": "expression", "math_text": "(9 - 428 * 1) / (-85)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 428, \"c\": 1, \"d\": -85}", "seed": "26764655759330381", "semantic_fingerprint": "sha256:e53177ec3e578aa7dbe8e4872cdc80e165278004d980aca18ae0a4c019ca2611", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004145", "prompt": "Solve for x: 8x = 12(x + 9) - 136", "solution_steps": ["Expand: 8x = 12x + 108 - 136", "Combine constants: 8x = 12x - 28", "Subtract 12x from both sides: -4x = -28", "Divide both sides by -4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 12(x + 9) - 136", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 9, \"e\": -136, \"x\": 7}", "seed": "3349503768297791331", "semantic_fingerprint": "sha256:2e73af9a4ed84c5a95ed639dcfea00ee36f0b4905f11205682a06ca2f53ba019", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004146", "prompt": "Solve the equation 9x = 2(x + 28) + 63 for x.", "solution_steps": ["Expand: 9x = 2x + 56 + 63", "Combine constants: 9x = 2x + 119", "Subtract 2x from both sides: 7x = 119", "Divide both sides by 7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 2(x + 28) + 63", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 28, \"e\": 63, \"x\": 17}", "seed": "2164212919772637769", "semantic_fingerprint": "sha256:b973fc2f4686dffa2b91d4ca7d76187916eeaeaa86a23ec6d7cf7778b63550a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004147", "prompt": "What is -744 + (421 - 1) + 18 - 65 / (-549)?", "solution_steps": ["Subtract: 421 - 1 = 420", "Add: -744 + 420 = -324", "Add: -324 + 18 = -306", "Divide: 65 / (-549) = -65/549", "Subtract: -306 - (-65/549) = -167929/549"], "final_answer": "-167929/549", "answer_type": "rational", "kind": "expression", "math_text": "-744 + (421 - 1) + 18 - 65 / (-549)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n (- n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -744, \"b\": 421, \"c\": 1, \"d\": 18, \"e\": 65, \"f\": -549}", "seed": "18372241426409932782", "semantic_fingerprint": "sha256:2eddad4c3b96bb14b388768f0bb639eb73c1ec39097ceca565d60ddeed8d96e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004148", "prompt": "Solve the equation 4(x + 679) + 655 = x + 2 for x.", "solution_steps": ["Expand: 4x + 2716 + 655 = x + 2", "Combine constants: 4x + 3371 = x + 2", "Subtract x from both sides: 3x + 3371 = 2", "Subtract 3371 from both sides: 3x = -3369", "Divide both sides by 3: x = -1123"], "final_answer": "-1123", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 679) + 655 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 679, \"c\": 655, \"d\": 2}", "seed": "12566937401748966428", "semantic_fingerprint": "sha256:ab4dc642cc4e8e34d3508f2c66d2f3cac8f7fe875d5b6c685d0f2d203ade7b1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004149", "prompt": "Calculate: 0 - (-79) - 81 * ((396 - 64) * 4)", "solution_steps": ["Subtract: 0 - (-79) = 79", "Subtract: 396 - 64 = 332", "Multiply: 332 * 4 = 1328", "Multiply: 81 * 1328 = 107568", "Subtract: 79 - 107568 = -107489"], "final_answer": "-107489", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-79) - 81 * ((396 - 64) * 4)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -79, \"c\": 81, \"d\": 396, \"e\": 64, \"f\": 4}", "seed": "1384018447007637874", "semantic_fingerprint": "sha256:5f426493071b8f8a89f76acb3a7359b6e7956cd67b19ef8f21bd921bcabc3221", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004150", "prompt": "What is -433 - (-70) / (-23) - 16?", "solution_steps": ["Divide: -70 / (-23) = 70/23", "Subtract: -433 - 70/23 = -10029/23", "Subtract: -10029/23 - 16 = -10397/23"], "final_answer": "-10397/23", "answer_type": "rational", "kind": "expression", "math_text": "-433 - (-70) / (-23) - 16", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -433, \"b\": -70, \"c\": -23, \"d\": 16}", "seed": "7210493505585945380", "semantic_fingerprint": "sha256:fdc15a356419135ac228635565b5918777f8f7611a42d91c027943e2f68d2a23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004151", "prompt": "Evaluate: (-861 - 94 - 389) * 6", "solution_steps": ["Subtract: -861 - 94 = -955", "Subtract: -955 - 389 = -1344", "Multiply: -1344 * 6 = -8064"], "final_answer": "-8064", "answer_type": "integer", "kind": "expression", "math_text": "(-861 - 94 - 389) * 6", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -861, \"b\": 94, \"c\": 389, \"d\": 6}", "seed": "5696938288372566540", "semantic_fingerprint": "sha256:410bf3257e3f93c037f1245d7be028bf62f14ab61894e5ca4a9fb84c77f32cc3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004152", "prompt": "Compute: (7 + (-2)) * (-15 + (-69 + 0) * (-28))", "solution_steps": ["Add: 7 + (-2) = 5", "Add: -69 + 0 = -69", "Multiply: -69 * (-28) = 1932", "Add: -15 + 1932 = 1917", "Multiply: 5 * 1917 = 9585"], "final_answer": "9585", "answer_type": "integer", "kind": "expression", "math_text": "(7 + (-2)) * (-15 + (-69 + 0) * (-28))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -2, \"c\": -15, \"d\": -69, \"e\": 0, \"f\": -28}", "seed": "9638382138530315653", "semantic_fingerprint": "sha256:77e743bf5daf1a2eea21ac9fa06ccc3cc4aa11bc33ed3ae941f41daad95ce156", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004153", "prompt": "What is (3 - (-55) + (-749) + (-606)) * (-3)?", "solution_steps": ["Subtract: 3 - (-55) = 58", "Add: 58 + (-749) = -691", "Add: -691 + (-606) = -1297", "Multiply: -1297 * (-3) = 3891"], "final_answer": "3891", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (-55) + (-749) + (-606)) * (-3)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -55, \"c\": -749, \"d\": -606, \"e\": -3}", "seed": "566470363772836431", "semantic_fingerprint": "sha256:ac1c45d2498c8ce7c57324feafdaaf630cee7c2ba240f92574dbba57cb7a1787", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004154", "prompt": "Compute: 30 / (6 * (-470 + 6) / 1)", "solution_steps": ["Add: -470 + 6 = -464", "Multiply: 6 * (-464) = -2784", "Divide: -2784 / 1 = -2784", "Divide: 30 / (-2784) = -5/464"], "final_answer": "-5/464", "answer_type": "rational", "kind": "expression", "math_text": "30 / (6 * (-470 + 6) / 1)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 6, \"c\": -470, \"d\": 6, \"e\": 1}", "seed": "9620441205854657724", "semantic_fingerprint": "sha256:56c12f5563fe5315a7945d0286979af2ff86e737e7a8fe0599c3a7542d9ac639", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004155", "prompt": "Find x: 12(x + 26) - 63 = x + 436", "solution_steps": ["Expand: 12x + 312 - 63 = x + 436", "Combine constants: 12x + 249 = x + 436", "Subtract x from both sides: 11x + 249 = 436", "Subtract 249 from both sides: 11x = 187", "Divide both sides by 11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 26) - 63 = x + 436", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 26, \"c\": 63, \"e\": 436, \"x\": 17}", "seed": "7593208368438869128", "semantic_fingerprint": "sha256:c13424021b31019503ec9c9bc020fa781ac631f38e3624efcc6bba190dd7f491", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004156", "prompt": "Evaluate: (939 / (-653) - (-31)) * 0", "solution_steps": ["Divide: 939 / (-653) = -939/653", "Subtract: -939/653 - (-31) = 19304/653", "Multiply: (19304/653) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(939 / (-653) - (-31)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 939, \"b\": -653, \"c\": -31, \"d\": 0}", "seed": "16519161502032283523", "semantic_fingerprint": "sha256:c10f098b54bdabe2192860710cb28b09ab82d3ef9a31253693e372161198a949", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004157", "prompt": "What is 0 * (-8 + (-86) + 603) - 2 * 59?", "solution_steps": ["Add: -8 + (-86) = -94", "Add: -94 + 603 = 509", "Multiply: 0 * 509 = 0", "Multiply: 2 * 59 = 118", "Subtract: 0 - 118 = -118"], "final_answer": "-118", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-8 + (-86) + 603) - 2 * 59", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": -86, \"d\": 603, \"e\": 2, \"f\": 59}", "seed": "2705001943757801968", "semantic_fingerprint": "sha256:0540ba6ddbc33c24ebb21bce4a656dbc7403f844b684c9f0ee321f44a2821ec3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004158", "prompt": "What value of x satisfies 4x - 805 = 7(x - 81)?", "solution_steps": ["Expand: 4x - 805 = 7x - 567", "Subtract 7x from both sides: -3x - 805 = -567", "Add 805 to both sides: -3x = 238", "Divide both sides by -3: x = -238/3"], "final_answer": "-238/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 805 = 7(x - 81)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 805, \"c\": 7, \"d\": 81}", "seed": "7224953926371310396", "semantic_fingerprint": "sha256:636cf5536c68fa1508901ece04b32d9f55b5f710c5b08fedd3e3ef7f00b7c3c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004159", "prompt": "Compute: -586 + (-97 - (-74)) + (-6)", "solution_steps": ["Subtract: -97 - (-74) = -23", "Add: -586 + (-23) = -609", "Add: -609 + (-6) = -615"], "final_answer": "-615", "answer_type": "integer", "kind": "expression", "math_text": "-586 + (-97 - (-74)) + (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -586, \"b\": -97, \"c\": -74, \"d\": -6}", "seed": "18150296021095562831", "semantic_fingerprint": "sha256:d269fcfdacdd16557ba35add86ba2a440e3dc7da66fcfbcdbf9ae4aa26df0806", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004160", "prompt": "Calculate: 336 * 971 + (-824) + (432 - 49)", "solution_steps": ["Multiply: 336 * 971 = 326256", "Add: 326256 + (-824) = 325432", "Subtract: 432 - 49 = 383", "Add: 325432 + 383 = 325815"], "final_answer": "325815", "answer_type": "integer", "kind": "expression", "math_text": "336 * 971 + (-824) + (432 - 49)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 336, \"b\": 971, \"c\": -824, \"d\": 432, \"e\": 49}", "seed": "18236018508032119616", "semantic_fingerprint": "sha256:c404e3071101f5c5e60dd57f8d5976a19bb34354c34f1e6c241fe39f7e4bac5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004161", "prompt": "Evaluate: (-861 / (-343) * 7 - 3) / 379", "solution_steps": ["Divide: -861 / (-343) = 123/49", "Multiply: (123/49) * 7 = 123/7", "Subtract: 123/7 - 3 = 102/7", "Divide: (102/7) / 379 = 102/2653"], "final_answer": "102/2653", "answer_type": "rational", "kind": "expression", "math_text": "(-861 / (-343) * 7 - 3) / 379", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -861, \"b\": -343, \"c\": 7, \"d\": 3, \"e\": 379}", "seed": "8594107066482488527", "semantic_fingerprint": "sha256:4320903512882f832be5c190b96a9bb8c6d5c9ba5e4d6393a4ccf2cee305bd02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004162", "prompt": "Solve for x: 7(x + 69) = 10(x - 29) + 785", "solution_steps": ["Expand: 7x + 483 = 10(x - 29) + 785", "Expand: 7x + 483 = 10x - 290 + 785", "Combine constants: 7x + 483 = 10x + 495", "Subtract 10x from both sides: -3x + 483 = 495", "Subtract 483 from both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 69) = 10(x - 29) + 785", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 69, \"c\": 10, \"d\": 29, \"f\": 785, \"x\": -4}", "seed": "14913523185790603772", "semantic_fingerprint": "sha256:a81e7e05531cd247294bddadd36a891a60e364dd7bfc9345957915b2b16c9feb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004163", "prompt": "Solve for x: 12(x + 244) - 75 = x + 90", "solution_steps": ["Expand: 12x + 2928 - 75 = x + 90", "Combine constants: 12x + 2853 = x + 90", "Subtract x from both sides: 11x + 2853 = 90", "Subtract 2853 from both sides: 11x = -2763", "Divide both sides by 11: x = -2763/11"], "final_answer": "-2763/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 244) - 75 = x + 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 244, \"c\": 75, \"d\": 90}", "seed": "13158694606500944588", "semantic_fingerprint": "sha256:cb035572315de65b2df3b93f7d1a1e41271568f580240aa4d516f3358ce82c44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004164", "prompt": "Calculate: (-30 / (-8) - 739) * (7 + 87)", "solution_steps": ["Divide: -30 / (-8) = 15/4", "Subtract: 15/4 - 739 = -2941/4", "Add: 7 + 87 = 94", "Multiply: (-2941/4) * 94 = -138227/2"], "final_answer": "-138227/2", "answer_type": "rational", "kind": "expression", "math_text": "(-30 / (-8) - 739) * (7 + 87)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -8, \"c\": 739, \"d\": 7, \"e\": 87}", "seed": "11036317835527070403", "semantic_fingerprint": "sha256:da5f565091a115a8d3106f8b9c323e0bc52e759e0aa9511a91d5332d1a5d1b55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004165", "prompt": "What value of x satisfies 2(x - 6) + 163 = 9(x + 2)?", "solution_steps": ["Expand: 2x - 12 + 163 = 9(x + 2)", "Expand: 2x - 12 + 163 = 9x + 18", "Combine constants: 2x + 151 = 9x + 18", "Subtract 9x from both sides: -7x + 151 = 18", "Subtract 151 from both sides: -7x = -133", "Divide both sides by -7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 6) + 163 = 9(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 9, \"d\": 2, \"f\": 163, \"x\": 19}", "seed": "17495333677899979709", "semantic_fingerprint": "sha256:bfbb7d531da2c454c59c712a532f80418e23529b6f80ce60e5fb2c284a7230ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004166", "prompt": "Solve the equation -5x = -10(x + 28) - 73 for x.", "solution_steps": ["Expand: -5x = -10x - 280 - 73", "Combine constants: -5x = -10x - 353", "Add 10x to both sides: 5x = -353", "Divide both sides by 5: x = -353/5"], "final_answer": "-353/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = -10(x + 28) - 73", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -10, \"c\": 28, \"d\": 73}", "seed": "6995414961729983176", "semantic_fingerprint": "sha256:ea0c0629620e5c48bf7817744e38d812265f89a3738060e0502a9e6c8883973b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004167", "prompt": "Evaluate: -45 / (-584) - (-4) + (-43 + (-2 - (-5)))", "solution_steps": ["Divide: -45 / (-584) = 45/584", "Subtract: 45/584 - (-4) = 2381/584", "Subtract: -2 - (-5) = 3", "Add: -43 + 3 = -40", "Add: 2381/584 + (-40) = -20979/584"], "final_answer": "-20979/584", "answer_type": "rational", "kind": "expression", "math_text": "-45 / (-584) - (-4) + (-43 + (-2 - (-5)))", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -584, \"c\": -4, \"d\": -43, \"e\": -2, \"f\": -5}", "seed": "10434905731807641086", "semantic_fingerprint": "sha256:3750356bb0a733d2ad879682ed207e78ee79670893fb3bc32b90ad5c89fbf9e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004168", "prompt": "What is (-3 - 21) * (-29 / 9) - (-228)?", "solution_steps": ["Subtract: -3 - 21 = -24", "Divide: -29 / 9 = -29/9", "Multiply: -24 * (-29/9) = 232/3", "Subtract: 232/3 - (-228) = 916/3"], "final_answer": "916/3", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 21) * (-29 / 9) - (-228)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 21, \"c\": -29, \"d\": 9, \"e\": -228}", "seed": "3715038385349977107", "semantic_fingerprint": "sha256:65f97055ee327a19c7cc32f7a4879cc2c6639358b7c58671d5e5c4dc4f83bb27", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004169", "prompt": "Compute: -2 / (864 + (-7)) / (-1 - (-6))", "solution_steps": ["Add: 864 + (-7) = 857", "Divide: -2 / 857 = -2/857", "Subtract: -1 - (-6) = 5", "Divide: (-2/857) / 5 = -2/4285"], "final_answer": "-2/4285", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (864 + (-7)) / (-1 - (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 864, \"c\": -7, \"d\": -1, \"e\": -6}", "seed": "7139814596104701145", "semantic_fingerprint": "sha256:36b25694e87f1ce6a07abc968141dfa3dbc8f743dc0273ef332b1583f55517e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004170", "prompt": "Compute: -652 - (-3 + 88) / 61", "solution_steps": ["Add: -3 + 88 = 85", "Divide: 85 / 61 = 85/61", "Subtract: -652 - 85/61 = -39857/61"], "final_answer": "-39857/61", "answer_type": "rational", "kind": "expression", "math_text": "-652 - (-3 + 88) / 61", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -652, \"b\": -3, \"c\": 88, \"d\": 61}", "seed": "9043653670693225404", "semantic_fingerprint": "sha256:7dc98f98eb61b2ca42de4a8b1a6af96efa80d4fde48c8337cfda244b3d3b431b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004171", "prompt": "Solve for x: 9(x + 29) = 5(x - 27) + 372", "solution_steps": ["Expand: 9x + 261 = 5(x - 27) + 372", "Expand: 9x + 261 = 5x - 135 + 372", "Combine constants: 9x + 261 = 5x + 237", "Subtract 5x from both sides: 4x + 261 = 237", "Subtract 261 from both sides: 4x = -24", "Divide both sides by 4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 29) = 5(x - 27) + 372", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 29, \"c\": 5, \"d\": 27, \"f\": 372, \"x\": -6}", "seed": "13045684646087362426", "semantic_fingerprint": "sha256:40343b87a0d160b39059306f4915d906e8fdc18ed0b839c4067629173ac07109", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004172", "prompt": "What is (-19 * (-109) + 824 * (-13)) / 6?", "solution_steps": ["Multiply: -19 * (-109) = 2071", "Multiply: 824 * (-13) = -10712", "Add: 2071 + (-10712) = -8641", "Divide: -8641 / 6 = -8641/6"], "final_answer": "-8641/6", "answer_type": "rational", "kind": "expression", "math_text": "(-19 * (-109) + 824 * (-13)) / 6", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -109, \"c\": 824, \"d\": -13, \"e\": 6}", "seed": "14128276147718347188", "semantic_fingerprint": "sha256:54fd6f5c8c9fe3901937d7ea17981bec76a74f04fd723737b6373ec4b3deda19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004173", "prompt": "Evaluate: -51 - (32 - (-8)) - (17 + (-5))", "solution_steps": ["Subtract: 32 - (-8) = 40", "Subtract: -51 - 40 = -91", "Add: 17 + (-5) = 12", "Subtract: -91 - 12 = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "expression", "math_text": "-51 - (32 - (-8)) - (17 + (-5))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 32, \"c\": -8, \"d\": 17, \"e\": -5}", "seed": "11322640108903816836", "semantic_fingerprint": "sha256:b83a6193eda5faa8d6c84002da248449e12c3959f94498687cb845fbf099f36d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004174", "prompt": "Compute: (720 + (138 + (-526))) * (5 / (-3))", "solution_steps": ["Add: 138 + (-526) = -388", "Add: 720 + (-388) = 332", "Divide: 5 / (-3) = -5/3", "Multiply: 332 * (-5/3) = -1660/3"], "final_answer": "-1660/3", "answer_type": "rational", "kind": "expression", "math_text": "(720 + (138 + (-526))) * (5 / (-3))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 720, \"b\": 138, \"c\": -526, \"d\": 5, \"e\": -3}", "seed": "14097187988133452397", "semantic_fingerprint": "sha256:7c2ec0d8fc97664f1d7ea0e158bd15fe776a9286b372b90cdd41f9095c323b7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004175", "prompt": "Calculate: 25 / 26 / (-606 / (-9 + (-77)))", "solution_steps": ["Divide: 25 / 26 = 25/26", "Add: -9 + (-77) = -86", "Divide: -606 / (-86) = 303/43", "Divide: (25/26) / (303/43) = 1075/7878"], "final_answer": "1075/7878", "answer_type": "rational", "kind": "expression", "math_text": "25 / 26 / (-606 / (-9 + (-77)))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 26, \"c\": -606, \"d\": -9, \"e\": -77}", "seed": "11517121788852237464", "semantic_fingerprint": "sha256:ac2d3eac790f831eddd5427828829ead0384d20d4fa0f2b249b9f6577b2fd285", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004176", "prompt": "What is (91 + (-4)) / 1 + 390 * 523?", "solution_steps": ["Add: 91 + (-4) = 87", "Divide: 87 / 1 = 87", "Multiply: 390 * 523 = 203970", "Add: 87 + 203970 = 204057"], "final_answer": "204057", "answer_type": "integer", "kind": "expression", "math_text": "(91 + (-4)) / 1 + 390 * 523", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -4, \"c\": 1, \"d\": 390, \"e\": 523}", "seed": "2336745354804710614", "semantic_fingerprint": "sha256:5ffcf799c0c22553f60144c00673188590403703a1b47f3396976bf70e578ae3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004177", "prompt": "Solve for x: 6x - 31 = -2(x - 56)", "solution_steps": ["Expand: 6x - 31 = -2x + 112", "Add 2x to both sides: 8x - 31 = 112", "Add 31 to both sides: 8x = 143", "Divide both sides by 8: x = 143/8"], "final_answer": "143/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 31 = -2(x - 56)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 31, \"c\": -2, \"d\": 56}", "seed": "11179274432660240999", "semantic_fingerprint": "sha256:3ded58caae6915eb18947aaa3569d078f862d637eff879cde8bd8cabc81749b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004178", "prompt": "Solve for x: -6x = -3(x + 6) - 12", "solution_steps": ["Expand: -6x = -3x - 18 - 12", "Combine constants: -6x = -3x - 30", "Add 3x to both sides: -3x = -30", "Divide both sides by -3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = -3(x + 6) - 12", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -3, \"c\": 6, \"e\": -12, \"x\": 10}", "seed": "11922217006586955713", "semantic_fingerprint": "sha256:618856fe9c3ea3a074d9ffff9f39719547b4ff4c1d71199240cc7d6479f27d9a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004179", "prompt": "What value of x satisfies 12(x + 5) - 99 = x + 50?", "solution_steps": ["Expand: 12x + 60 - 99 = x + 50", "Combine constants: 12x - 39 = x + 50", "Subtract x from both sides: 11x - 39 = 50", "Add 39 to both sides: 11x = 89", "Divide both sides by 11: x = 89/11"], "final_answer": "89/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 5) - 99 = x + 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 99, \"d\": 50}", "seed": "234880300428611224", "semantic_fingerprint": "sha256:f34a2dbfba93a71f198ebaa94a164a331b22f5282c7da995e4dd87211974e12f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004180", "prompt": "Solve the equation 2x - 48 = 6(x - 8) for x.", "solution_steps": ["Expand: 2x - 48 = 6x - 48", "Subtract 6x from both sides: -4x - 48 = -48", "Add 48 to both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 48 = 6(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 8, \"e\": -48, \"x\": 0}", "seed": "12262539248170043483", "semantic_fingerprint": "sha256:afb34232b4af47d7cc474a129f3cd18983ef090a5e57f7d39c1c41860390ce87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004181", "prompt": "What is -98 - (-5) - 501 * 1 / (5 + (-84))?", "solution_steps": ["Subtract: -98 - (-5) = -93", "Multiply: 501 * 1 = 501", "Add: 5 + (-84) = -79", "Divide: 501 / (-79) = -501/79", "Subtract: -93 - (-501/79) = -6846/79"], "final_answer": "-6846/79", "answer_type": "rational", "kind": "expression", "math_text": "-98 - (-5) - 501 * 1 / (5 + (-84))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -5, \"c\": 501, \"d\": 1, \"e\": 5, \"f\": -84}", "seed": "1701567404166740905", "semantic_fingerprint": "sha256:ca1b8b9a5cd38b233d7f9ec43638e80cfb9c6949309720d4015f5e2e0ce99a20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004182", "prompt": "Evaluate: -12 - 37 / 352 - 9", "solution_steps": ["Divide: 37 / 352 = 37/352", "Subtract: -12 - 37/352 = -4261/352", "Subtract: -4261/352 - 9 = -7429/352"], "final_answer": "-7429/352", "answer_type": "rational", "kind": "expression", "math_text": "-12 - 37 / 352 - 9", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 37, \"c\": 352, \"d\": 9}", "seed": "16434745217906688381", "semantic_fingerprint": "sha256:0427767aaa8824488ef9781c5ec307ab8d3b3f4d1c2a1972427254a05e1d5a28", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004183", "prompt": "Evaluate: (-3 - (434 - (-4 - (3 - (-144))))) * 78", "solution_steps": ["Subtract: 3 - (-144) = 147", "Subtract: -4 - 147 = -151", "Subtract: 434 - (-151) = 585", "Subtract: -3 - 585 = -588", "Multiply: -588 * 78 = -45864"], "final_answer": "-45864", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (434 - (-4 - (3 - (-144))))) * 78", "variable": null, "family": "expression_5op", "shape": "(* (- n (- n (- n (- n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 434, \"c\": -4, \"d\": 3, \"e\": -144, \"f\": 78}", "seed": "10875870700973991089", "semantic_fingerprint": "sha256:1d4d75a432e3f8bdccc6bcf1487ed94a64aee6b71555efba295c80870c35a373", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004184", "prompt": "Calculate: 72 / (66 / 50) + 44", "solution_steps": ["Divide: 66 / 50 = 33/25", "Divide: 72 / (33/25) = 600/11", "Add: 600/11 + 44 = 1084/11"], "final_answer": "1084/11", "answer_type": "rational", "kind": "expression", "math_text": "72 / (66 / 50) + 44", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 66, \"c\": 50, \"d\": 44}", "seed": "16317470728447897145", "semantic_fingerprint": "sha256:27a4df48e35d22b0398e12d4197c5e06c361897c9da6815b9ffe7df419189189", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004185", "prompt": "Solve the equation 8x = 5(x + 86) - 427 for x.", "solution_steps": ["Expand: 8x = 5x + 430 - 427", "Combine constants: 8x = 5x + 3", "Subtract 5x from both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 5(x + 86) - 427", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 86, \"e\": -427, \"x\": 1}", "seed": "15437976606362700683", "semantic_fingerprint": "sha256:8818866bbb167f2e00e60ed0e067c433695006f87701f0de801a70ae5c4d6d48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004186", "prompt": "Find x: 3x - 575 = 7(x - 211)", "solution_steps": ["Expand: 3x - 575 = 7x - 1477", "Subtract 7x from both sides: -4x - 575 = -1477", "Add 575 to both sides: -4x = -902", "Divide both sides by -4: x = 451/2"], "final_answer": "451/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 575 = 7(x - 211)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 575, \"c\": 7, \"d\": 211}", "seed": "389587083219665906", "semantic_fingerprint": "sha256:39d75e6126f24cd063ac8f0fd23bf06b9a51d46669dc3754fb97013546542c1d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004187", "prompt": "Find x: 5x - 9 = 9x - 73", "solution_steps": ["Subtract 9x from both sides: -4x - 9 = -73", "Add 9 to both sides: -4x = -64", "Divide both sides by -4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 9 = 9x - 73", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 9, \"e\": -73, \"x\": 16}", "seed": "15254049166954467607", "semantic_fingerprint": "sha256:7fd7c6937940d46cf9f3de4ab9a765df216e8993bf3224f926f24d8a70f5643f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004188", "prompt": "Calculate: 0 * (-171) * (-969 * 23) / (0 + (-1))", "solution_steps": ["Multiply: 0 * (-171) = 0", "Multiply: -969 * 23 = -22287", "Multiply: 0 * (-22287) = 0", "Add: 0 + (-1) = -1", "Divide: 0 / (-1) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-171) * (-969 * 23) / (0 + (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -171, \"c\": -969, \"d\": 23, \"e\": 0, \"f\": -1}", "seed": "3845524384908096628", "semantic_fingerprint": "sha256:5c4a768aa3c9724edf517155a2954ec74347d173f7a60c8dc3e46a4d207415d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004189", "prompt": "What is -31 * 23 + (-50) + 98 + (-72) * 98?", "solution_steps": ["Multiply: -31 * 23 = -713", "Add: -713 + (-50) = -763", "Add: -763 + 98 = -665", "Multiply: -72 * 98 = -7056", "Add: -665 + (-7056) = -7721"], "final_answer": "-7721", "answer_type": "integer", "kind": "expression", "math_text": "-31 * 23 + (-50) + 98 + (-72) * 98", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ (* n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 23, \"c\": -50, \"d\": 98, \"e\": -72, \"f\": 98}", "seed": "8891151800504421028", "semantic_fingerprint": "sha256:8338cf435a38da1e9d28ee7fd2b686828f8bbf144232739958e28062cbe49702", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004190", "prompt": "Evaluate: -298 - (-1) + (-32 * 50 + 9)", "solution_steps": ["Subtract: -298 - (-1) = -297", "Multiply: -32 * 50 = -1600", "Add: -1600 + 9 = -1591", "Add: -297 + (-1591) = -1888"], "final_answer": "-1888", "answer_type": "integer", "kind": "expression", "math_text": "-298 - (-1) + (-32 * 50 + 9)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -298, \"b\": -1, \"c\": -32, \"d\": 50, \"e\": 9}", "seed": "7408703949242465967", "semantic_fingerprint": "sha256:a934c78600fe7f1d43fba9a9ae3439fddfff91c8b131aa844e17548bcd051a56", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004191", "prompt": "What is 8 / 53 / (75 + (-8) - (655 - (-40)))?", "solution_steps": ["Divide: 8 / 53 = 8/53", "Add: 75 + (-8) = 67", "Subtract: 655 - (-40) = 695", "Subtract: 67 - 695 = -628", "Divide: (8/53) / (-628) = -2/8321"], "final_answer": "-2/8321", "answer_type": "rational", "kind": "expression", "math_text": "8 / 53 / (75 + (-8) - (655 - (-40)))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (- (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 53, \"c\": 75, \"d\": -8, \"e\": 655, \"f\": -40}", "seed": "1385902579847416543", "semantic_fingerprint": "sha256:ad0d28929bc19179f98711a54213adb61a35b9d0fb695c8fac3a803f61558ab3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004192", "prompt": "Compute: (48 * 30 + (-726) * (-78)) / 6", "solution_steps": ["Multiply: 48 * 30 = 1440", "Multiply: -726 * (-78) = 56628", "Add: 1440 + 56628 = 58068", "Divide: 58068 / 6 = 9678"], "final_answer": "9678", "answer_type": "integer", "kind": "expression", "math_text": "(48 * 30 + (-726) * (-78)) / 6", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 30, \"c\": -726, \"d\": -78, \"e\": 6}", "seed": "8414295227495028738", "semantic_fingerprint": "sha256:f318cffefc7f69e5a1d24bd9f6ef2af4ebed21196457a7b9cef28a870569a127", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004193", "prompt": "Solve for x: -4(x + 5) = 5(x - 1) + 147", "solution_steps": ["Expand: -4x - 20 = 5(x - 1) + 147", "Expand: -4x - 20 = 5x - 5 + 147", "Combine constants: -4x - 20 = 5x + 142", "Subtract 5x from both sides: -9x - 20 = 142", "Add 20 to both sides: -9x = 162", "Divide both sides by -9: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 5) = 5(x - 1) + 147", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 5, \"d\": 1, \"f\": 147, \"x\": -18}", "seed": "13066478466204742193", "semantic_fingerprint": "sha256:14878947f255307fab8795cd02543c105ae65d05359b64125bdc9015bdd80048", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004194", "prompt": "Find x: 4x = 2(x + 32) - 7", "solution_steps": ["Expand: 4x = 2x + 64 - 7", "Combine constants: 4x = 2x + 57", "Subtract 2x from both sides: 2x = 57", "Divide both sides by 2: x = 57/2"], "final_answer": "57/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = 2(x + 32) - 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 32, \"d\": 7}", "seed": "12690597969174722080", "semantic_fingerprint": "sha256:f59e083836c1cb2a6e9c9000024921edac9ab3d778dc49d586592e8d3250e724", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004195", "prompt": "Find x: 4x = 6(x + 5) - 52", "solution_steps": ["Expand: 4x = 6x + 30 - 52", "Combine constants: 4x = 6x - 22", "Subtract 6x from both sides: -2x = -22", "Divide both sides by -2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 6(x + 5) - 52", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 5, \"e\": -52, \"x\": 11}", "seed": "4117857703499750394", "semantic_fingerprint": "sha256:f13d4639f96405964bb4aeb50474a15a56047d99b85b2bfcc37b31c79935e4e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004196", "prompt": "Solve for x: -10(x + 14) = -5(x - 559) + 9", "solution_steps": ["Expand: -10x - 140 = -5(x - 559) + 9", "Expand: -10x - 140 = -5x + 2795 + 9", "Combine constants: -10x - 140 = -5x + 2804", "Add 5x to both sides: -5x - 140 = 2804", "Add 140 to both sides: -5x = 2944", "Divide both sides by -5: x = -2944/5"], "final_answer": "-2944/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 14) = -5(x - 559) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 14, \"c\": -5, \"d\": 559, \"e\": 9}", "seed": "14468438384554823467", "semantic_fingerprint": "sha256:be784e57981e8d3fc928ede5df077dc56eca6719942b228fff1a61d38d804616", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004197", "prompt": "What is 625 + (7 + 551 - (-40) * 6)?", "solution_steps": ["Add: 7 + 551 = 558", "Multiply: -40 * 6 = -240", "Subtract: 558 - (-240) = 798", "Add: 625 + 798 = 1423"], "final_answer": "1423", "answer_type": "integer", "kind": "expression", "math_text": "625 + (7 + 551 - (-40) * 6)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 625, \"b\": 7, \"c\": 551, \"d\": -40, \"e\": 6}", "seed": "6219377229345307620", "semantic_fingerprint": "sha256:10ce85361422259a18b7065e7481d6566caada545d7d7c077913a532c73c7c32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004198", "prompt": "Solve for x: -8(x - 79) + 490 = 10(x + 78)", "solution_steps": ["Expand: -8x + 632 + 490 = 10(x + 78)", "Expand: -8x + 632 + 490 = 10x + 780", "Combine constants: -8x + 1122 = 10x + 780", "Subtract 10x from both sides: -18x + 1122 = 780", "Subtract 1122 from both sides: -18x = -342", "Divide both sides by -18: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 79) + 490 = 10(x + 78)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 79, \"c\": 10, \"d\": 78, \"f\": 490, \"x\": 19}", "seed": "9255654563005822767", "semantic_fingerprint": "sha256:642fbdb15078469b9d31ab727abd5d110ad3aea49eeca6bc2f6068e970d5be7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004199", "prompt": "What is -244 - (-702) - (9 / 61 - 45)?", "solution_steps": ["Subtract: -244 - (-702) = 458", "Divide: 9 / 61 = 9/61", "Subtract: 9/61 - 45 = -2736/61", "Subtract: 458 - (-2736/61) = 30674/61"], "final_answer": "30674/61", "answer_type": "rational", "kind": "expression", "math_text": "-244 - (-702) - (9 / 61 - 45)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -244, \"b\": -702, \"c\": 9, \"d\": 61, \"e\": 45}", "seed": "10505693410627959563", "semantic_fingerprint": "sha256:205212db2dadb3d4f3d5964224baaec3e1b2b2a01619c8200cd3013cf3e25ae7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004200", "prompt": "Evaluate: -93 * ((6 - 0) * (-44) * (-1))", "solution_steps": ["Subtract: 6 - 0 = 6", "Multiply: 6 * (-44) = -264", "Multiply: -264 * (-1) = 264", "Multiply: -93 * 264 = -24552"], "final_answer": "-24552", "answer_type": "integer", "kind": "expression", "math_text": "-93 * ((6 - 0) * (-44) * (-1))", "variable": null, "family": "expression_4op", "shape": "(* n (* (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 6, \"c\": 0, \"d\": -44, \"e\": -1}", "seed": "11845160414469154161", "semantic_fingerprint": "sha256:62d8d079183872897a13a64799344076fc5058927528511914b6f267c8321726", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004201", "prompt": "Find x: 9(x + 5) - 27 = x + 146", "solution_steps": ["Expand: 9x + 45 - 27 = x + 146", "Combine constants: 9x + 18 = x + 146", "Subtract x from both sides: 8x + 18 = 146", "Subtract 18 from both sides: 8x = 128", "Divide both sides by 8: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) - 27 = x + 146", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 27, \"e\": 146, \"x\": 16}", "seed": "8030556947832098712", "semantic_fingerprint": "sha256:e1717b8da4fbfed59eae69352a852bbe51e92e0ca006f1c36e465d5d759a681e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004202", "prompt": "Solve for x: 9x = 3(x + 128) - 348", "solution_steps": ["Expand: 9x = 3x + 384 - 348", "Combine constants: 9x = 3x + 36", "Subtract 3x from both sides: 6x = 36", "Divide both sides by 6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 3(x + 128) - 348", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 128, \"e\": -348, \"x\": 6}", "seed": "11114807378307141246", "semantic_fingerprint": "sha256:cbefffbb004d8d4cded5694000c6124474f27d50c2b4f8ff632b5f46c34db009", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004203", "prompt": "Compute: 8 * (869 + 689) / (-23 / (-1)) / 352", "solution_steps": ["Add: 869 + 689 = 1558", "Multiply: 8 * 1558 = 12464", "Divide: -23 / (-1) = 23", "Divide: 12464 / 23 = 12464/23", "Divide: (12464/23) / 352 = 779/506"], "final_answer": "779/506", "answer_type": "rational", "kind": "expression", "math_text": "8 * (869 + 689) / (-23 / (-1)) / 352", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n (+ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 869, \"c\": 689, \"d\": -23, \"e\": -1, \"f\": 352}", "seed": "1915890441782281051", "semantic_fingerprint": "sha256:14b74ef86a5822e3a49b2a591dbfc863ba30f251b6fccd258c48b47c33ff1cf4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004204", "prompt": "What value of x satisfies 8(x + 45) = -10(x - 428) + 758?", "solution_steps": ["Expand: 8x + 360 = -10(x - 428) + 758", "Expand: 8x + 360 = -10x + 4280 + 758", "Combine constants: 8x + 360 = -10x + 5038", "Add 10x to both sides: 18x + 360 = 5038", "Subtract 360 from both sides: 18x = 4678", "Divide both sides by 18: x = 2339/9"], "final_answer": "2339/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 45) = -10(x - 428) + 758", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 45, \"c\": -10, \"d\": 428, \"e\": 758}", "seed": "4313655896269446219", "semantic_fingerprint": "sha256:af62507f2644a96771bcf2ceb930c1c43d2177f939f7a69fc9e958ef412c31ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004205", "prompt": "What is (-885 + (-39)) / (-9 + 57)?", "solution_steps": ["Add: -885 + (-39) = -924", "Add: -9 + 57 = 48", "Divide: -924 / 48 = -77/4"], "final_answer": "-77/4", "answer_type": "rational", "kind": "expression", "math_text": "(-885 + (-39)) / (-9 + 57)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -885, \"b\": -39, \"c\": -9, \"d\": 57}", "seed": "2470264778950363634", "semantic_fingerprint": "sha256:6f621ba7b9c280b9aa8c5cfa0435964b0a1d5bf2d918961f78f73f0366a556b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004206", "prompt": "What is -65 + (-5 - (89 + 554))?", "solution_steps": ["Add: 89 + 554 = 643", "Subtract: -5 - 643 = -648", "Add: -65 + (-648) = -713"], "final_answer": "-713", "answer_type": "integer", "kind": "expression", "math_text": "-65 + (-5 - (89 + 554))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -5, \"c\": 89, \"d\": 554}", "seed": "16680191554206303630", "semantic_fingerprint": "sha256:ffbdb2733ae8d1ad019494fa115cbe5b05d3f28f182a5ce1a253e0b02ea7ac6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004207", "prompt": "Solve for x: 11(x - 50) + 692 = 3(x + 66)", "solution_steps": ["Expand: 11x - 550 + 692 = 3(x + 66)", "Expand: 11x - 550 + 692 = 3x + 198", "Combine constants: 11x + 142 = 3x + 198", "Subtract 3x from both sides: 8x + 142 = 198", "Subtract 142 from both sides: 8x = 56", "Divide both sides by 8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 50) + 692 = 3(x + 66)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 50, \"c\": 3, \"d\": 66, \"f\": 692, \"x\": 7}", "seed": "3360605023029585279", "semantic_fingerprint": "sha256:492ef40e47d57d54182c660267e279a97ba2bb50a468dc543d3bdadbc2bc9162", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004208", "prompt": "Find x: 11(x - 41) + 559 = 12(x + 9)", "solution_steps": ["Expand: 11x - 451 + 559 = 12(x + 9)", "Expand: 11x - 451 + 559 = 12x + 108", "Combine constants: 11x + 108 = 12x + 108", "Subtract 12x from both sides: -x + 108 = 108", "Subtract 108 from both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 41) + 559 = 12(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 41, \"c\": 12, \"d\": 9, \"f\": 559, \"x\": 0}", "seed": "15414303936661965138", "semantic_fingerprint": "sha256:8ce25f0bfdde0ff2e97a1c767bfb7006a850cdb0f66ad0aac27aa3db22eb58a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004209", "prompt": "What value of x satisfies 7x = 9(x + 55) - 519?", "solution_steps": ["Expand: 7x = 9x + 495 - 519", "Combine constants: 7x = 9x - 24", "Subtract 9x from both sides: -2x = -24", "Divide both sides by -2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 9(x + 55) - 519", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 55, \"e\": -519, \"x\": 12}", "seed": "17963191673213388785", "semantic_fingerprint": "sha256:c0830ec537ca22ab64e062959eac427d8ca59fcb3f394766e3d9fccdbe1b7d10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004210", "prompt": "Evaluate: 66 * 66 - (-771) * (-1 / 4)", "solution_steps": ["Multiply: 66 * 66 = 4356", "Divide: -1 / 4 = -1/4", "Multiply: -771 * (-1/4) = 771/4", "Subtract: 4356 - 771/4 = 16653/4"], "final_answer": "16653/4", "answer_type": "rational", "kind": "expression", "math_text": "66 * 66 - (-771) * (-1 / 4)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 66, \"c\": -771, \"d\": -1, \"e\": 4}", "seed": "4809078058351279979", "semantic_fingerprint": "sha256:a99f9a71deff2c41a7c92b56d6365260c833c7a2874ea2da0bcd970d00e4c680", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004211", "prompt": "Compute: 6 / (2 * 950) - (-9) * (-49 * 0)", "solution_steps": ["Multiply: 2 * 950 = 1900", "Divide: 6 / 1900 = 3/950", "Multiply: -49 * 0 = 0", "Multiply: -9 * 0 = 0", "Subtract: 3/950 - 0 = 3/950"], "final_answer": "3/950", "answer_type": "rational", "kind": "expression", "math_text": "6 / (2 * 950) - (-9) * (-49 * 0)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (* n n)) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 950, \"d\": -9, \"e\": -49, \"f\": 0}", "seed": "12697696802853976266", "semantic_fingerprint": "sha256:8e56cd244a5307bfc1d80ae209853553d232c41a1534d5cc523549ec7a3eaa7f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004212", "prompt": "Compute: -71 * (531 * 0) + (-5)", "solution_steps": ["Multiply: 531 * 0 = 0", "Multiply: -71 * 0 = 0", "Add: 0 + (-5) = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "-71 * (531 * 0) + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 531, \"c\": 0, \"d\": -5}", "seed": "2917440645171993384", "semantic_fingerprint": "sha256:375b46193ebeace9e796bb0b38409187e293d83ce11d863b3412b0d3991d10a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004213", "prompt": "Calculate: (-248 - 0 * 53) / 19", "solution_steps": ["Multiply: 0 * 53 = 0", "Subtract: -248 - 0 = -248", "Divide: -248 / 19 = -248/19"], "final_answer": "-248/19", "answer_type": "rational", "kind": "expression", "math_text": "(-248 - 0 * 53) / 19", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -248, \"b\": 0, \"c\": 53, \"d\": 19}", "seed": "2853800232179052588", "semantic_fingerprint": "sha256:d62ee57c9d7f7c1db604dbc5c758eaaddb2e715ba075d26cc5e3928f43a1d511", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004214", "prompt": "Solve for x: 4x - 5 = 12x - 61", "solution_steps": ["Subtract 12x from both sides: -8x - 5 = -61", "Add 5 to both sides: -8x = -56", "Divide both sides by -8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 5 = 12x - 61", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 12, \"e\": -61, \"x\": 7}", "seed": "1685312966236592667", "semantic_fingerprint": "sha256:97f0a6a63416b46061eaa7deecedc3ca819ab4007f5466cea41f75b3160a75e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004215", "prompt": "Compute: (-5 - (-98 + 688)) / (50 * (-87 / 49))", "solution_steps": ["Add: -98 + 688 = 590", "Subtract: -5 - 590 = -595", "Divide: -87 / 49 = -87/49", "Multiply: 50 * (-87/49) = -4350/49", "Divide: -595 / (-4350/49) = 5831/870"], "final_answer": "5831/870", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-98 + 688)) / (50 * (-87 / 49))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -98, \"c\": 688, \"d\": 50, \"e\": -87, \"f\": 49}", "seed": "1100188393209339343", "semantic_fingerprint": "sha256:6ebb096fe29ea9b400b883609672ffaca965ee2a4b4d51c8e52e8247e63ae66b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004216", "prompt": "Solve for x: 10(x + 7) - 3 = x + 229", "solution_steps": ["Expand: 10x + 70 - 3 = x + 229", "Combine constants: 10x + 67 = x + 229", "Subtract x from both sides: 9x + 67 = 229", "Subtract 67 from both sides: 9x = 162", "Divide both sides by 9: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 7) - 3 = x + 229", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 3, \"e\": 229, \"x\": 18}", "seed": "4580350442365311103", "semantic_fingerprint": "sha256:153e3b23531970b8f6487df4b263e9fc99c7c4c2cbab28a3074ed64cbe30feb3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004217", "prompt": "Calculate: -94 / (-35 + (-4) + (-47 + 882))", "solution_steps": ["Add: -35 + (-4) = -39", "Add: -47 + 882 = 835", "Add: -39 + 835 = 796", "Divide: -94 / 796 = -47/398"], "final_answer": "-47/398", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (-35 + (-4) + (-47 + 882))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -35, \"c\": -4, \"d\": -47, \"e\": 882}", "seed": "2514033659425159897", "semantic_fingerprint": "sha256:11b6f1024c0976f0dd5aa93263cc1b146cc14e128a172b3674891ed8db278660", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004218", "prompt": "Find x: 8x - 335 = 6x - 359", "solution_steps": ["Subtract 6x from both sides: 2x - 335 = -359", "Add 335 to both sides: 2x = -24", "Divide both sides by 2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 335 = 6x - 359", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 335, \"c\": 6, \"e\": -359, \"x\": -12}", "seed": "16774254040926971869", "semantic_fingerprint": "sha256:e4bfa7f3bd99edc4813ed04fd450f25f3065ab66ebcb7da08b654416f04e6ed9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004219", "prompt": "Find x: 4(x - 20) + 82 = 2(x + 6)", "solution_steps": ["Expand: 4x - 80 + 82 = 2(x + 6)", "Expand: 4x - 80 + 82 = 2x + 12", "Combine constants: 4x + 2 = 2x + 12", "Subtract 2x from both sides: 2x + 2 = 12", "Subtract 2 from both sides: 2x = 10", "Divide both sides by 2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 20) + 82 = 2(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 20, \"c\": 2, \"d\": 6, \"f\": 82, \"x\": 5}", "seed": "7784937363604015520", "semantic_fingerprint": "sha256:86dd152e07d44dba057ac071fbbfa6f55bb23d3a01214861facd46cd507f2ed3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004220", "prompt": "Solve for x: 8(x + 91) = 2(x - 52) + 754", "solution_steps": ["Expand: 8x + 728 = 2(x - 52) + 754", "Expand: 8x + 728 = 2x - 104 + 754", "Combine constants: 8x + 728 = 2x + 650", "Subtract 2x from both sides: 6x + 728 = 650", "Subtract 728 from both sides: 6x = -78", "Divide both sides by 6: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 91) = 2(x - 52) + 754", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 91, \"c\": 2, \"d\": 52, \"f\": 754, \"x\": -13}", "seed": "9707566385333390091", "semantic_fingerprint": "sha256:c46105becfaac7577f02e6a29bf28481a62214ed7883802040aae8c43f0c569d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004221", "prompt": "Calculate: -70 * (-16) / 77 + (734 - 6)", "solution_steps": ["Multiply: -70 * (-16) = 1120", "Divide: 1120 / 77 = 160/11", "Subtract: 734 - 6 = 728", "Add: 160/11 + 728 = 8168/11"], "final_answer": "8168/11", "answer_type": "rational", "kind": "expression", "math_text": "-70 * (-16) / 77 + (734 - 6)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -16, \"c\": 77, \"d\": 734, \"e\": 6}", "seed": "1396972860813749072", "semantic_fingerprint": "sha256:fd0cdd4d25f66eb6fbb01116ce838420c5cc12223a306600899e49d8ca803a8f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004222", "prompt": "Compute: -725 / 4 / 8 - (-71)", "solution_steps": ["Divide: -725 / 4 = -725/4", "Divide: (-725/4) / 8 = -725/32", "Subtract: -725/32 - (-71) = 1547/32"], "final_answer": "1547/32", "answer_type": "rational", "kind": "expression", "math_text": "-725 / 4 / 8 - (-71)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -725, \"b\": 4, \"c\": 8, \"d\": -71}", "seed": "1105253300484459598", "semantic_fingerprint": "sha256:738ed174191c4608476b328d7d0b2c48da38d57b2d654215c604a5bec1c4ac31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004223", "prompt": "Solve the equation -10(x + 45) - 23 = x + 55 for x.", "solution_steps": ["Expand: -10x - 450 - 23 = x + 55", "Combine constants: -10x - 473 = x + 55", "Subtract x from both sides: -11x - 473 = 55", "Add 473 to both sides: -11x = 528", "Divide both sides by -11: x = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 45) - 23 = x + 55", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 45, \"c\": 23, \"d\": 55}", "seed": "17583263708513051063", "semantic_fingerprint": "sha256:f3ad6716cc4c7f195b955dee04273bf435bcf0821b5cac5a5c6be94cf0233b79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004224", "prompt": "What is (44 - (-266) + 1) / 657 * 9?", "solution_steps": ["Subtract: 44 - (-266) = 310", "Add: 310 + 1 = 311", "Divide: 311 / 657 = 311/657", "Multiply: (311/657) * 9 = 311/73"], "final_answer": "311/73", "answer_type": "rational", "kind": "expression", "math_text": "(44 - (-266) + 1) / 657 * 9", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -266, \"c\": 1, \"d\": 657, \"e\": 9}", "seed": "1016691377732727841", "semantic_fingerprint": "sha256:6f45a2f17fda70732c038d05270e17a218f4caf64cfa4c447e72ecf3d468433c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004225", "prompt": "Find x: 4(x + 89) = 3(x - 1) + 346", "solution_steps": ["Expand: 4x + 356 = 3(x - 1) + 346", "Expand: 4x + 356 = 3x - 3 + 346", "Combine constants: 4x + 356 = 3x + 343", "Subtract 3x from both sides: x + 356 = 343", "Subtract 356 from both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 89) = 3(x - 1) + 346", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 89, \"c\": 3, \"d\": 1, \"f\": 346, \"x\": -13}", "seed": "11591669605527340673", "semantic_fingerprint": "sha256:52d03ff405306f7e7a56c644ff6a47dc5d566dfd7f7b06d0248ea52ab85a36b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004226", "prompt": "Evaluate: 8 * 7 * (98 + (545 + (-86)))", "solution_steps": ["Multiply: 8 * 7 = 56", "Add: 545 + (-86) = 459", "Add: 98 + 459 = 557", "Multiply: 56 * 557 = 31192"], "final_answer": "31192", "answer_type": "integer", "kind": "expression", "math_text": "8 * 7 * (98 + (545 + (-86)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 98, \"d\": 545, \"e\": -86}", "seed": "11599213344646577427", "semantic_fingerprint": "sha256:66ca39ef11d3efd6a129d206deaee82db1764baadc356ec9159588e47a815787", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004227", "prompt": "What value of x satisfies 2(x + 77) + 3 = x + 171?", "solution_steps": ["Expand: 2x + 154 + 3 = x + 171", "Combine constants: 2x + 157 = x + 171", "Subtract x from both sides: x + 157 = 171", "Subtract 157 from both sides: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 77) + 3 = x + 171", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 77, \"c\": 3, \"e\": 171, \"x\": 14}", "seed": "16532275993483504149", "semantic_fingerprint": "sha256:eace475708bd7b8a93845c1d46ff7f659cf6c1d856518b2593084968e6d461bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004228", "prompt": "Compute: 5 * 4 + (-97) * (-74 * 8)", "solution_steps": ["Multiply: 5 * 4 = 20", "Multiply: -74 * 8 = -592", "Multiply: -97 * (-592) = 57424", "Add: 20 + 57424 = 57444"], "final_answer": "57444", "answer_type": "integer", "kind": "expression", "math_text": "5 * 4 + (-97) * (-74 * 8)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": -97, \"d\": -74, \"e\": 8}", "seed": "16318243677811511461", "semantic_fingerprint": "sha256:db68db94a1a43d2be5ed05513e2218bae328f0dcb84079d2527f6ee0e5de240c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004229", "prompt": "What value of x satisfies 3(x + 26) + 318 = x + 364?", "solution_steps": ["Expand: 3x + 78 + 318 = x + 364", "Combine constants: 3x + 396 = x + 364", "Subtract x from both sides: 2x + 396 = 364", "Subtract 396 from both sides: 2x = -32", "Divide both sides by 2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 26) + 318 = x + 364", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 26, \"c\": 318, \"e\": 364, \"x\": -16}", "seed": "14531299783285598439", "semantic_fingerprint": "sha256:1cdc0796fb8ee0a7d60419f05e6352f66592484a0220076b15dfb534c2462807", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004230", "prompt": "Solve for x: 2(x - 49) + 964 = 10(x + 73)", "solution_steps": ["Expand: 2x - 98 + 964 = 10(x + 73)", "Expand: 2x - 98 + 964 = 10x + 730", "Combine constants: 2x + 866 = 10x + 730", "Subtract 10x from both sides: -8x + 866 = 730", "Subtract 866 from both sides: -8x = -136", "Divide both sides by -8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 49) + 964 = 10(x + 73)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 49, \"c\": 10, \"d\": 73, \"f\": 964, \"x\": 17}", "seed": "14332416008164278563", "semantic_fingerprint": "sha256:79b2e0453e630bb5e5df4804a8628b42ecc740e9e9a2f96ae54d0752903adfc5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004231", "prompt": "Solve the equation 3(x + 41) + 66 = x + 167 for x.", "solution_steps": ["Expand: 3x + 123 + 66 = x + 167", "Combine constants: 3x + 189 = x + 167", "Subtract x from both sides: 2x + 189 = 167", "Subtract 189 from both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 41) + 66 = x + 167", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 41, \"c\": 66, \"e\": 167, \"x\": -11}", "seed": "4446579710201264380", "semantic_fingerprint": "sha256:eca268ef6ab7d2a43212f0d303efa9018a94b9f921fc21d63d02a036cdc2119e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004232", "prompt": "What value of x satisfies 7x - 42 = 2(x - 1)?", "solution_steps": ["Expand: 7x - 42 = 2x - 2", "Subtract 2x from both sides: 5x - 42 = -2", "Add 42 to both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 42 = 2(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 1, \"e\": -42, \"x\": 8}", "seed": "14452530213105607700", "semantic_fingerprint": "sha256:33413dbcb0d216c3265a94eb7927d82e21e0c01b4acca59d0605e20f80daa2f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004233", "prompt": "Find x: 9(x - 2) + 407 = 7(x + 57)", "solution_steps": ["Expand: 9x - 18 + 407 = 7(x + 57)", "Expand: 9x - 18 + 407 = 7x + 399", "Combine constants: 9x + 389 = 7x + 399", "Subtract 7x from both sides: 2x + 389 = 399", "Subtract 389 from both sides: 2x = 10", "Divide both sides by 2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 2) + 407 = 7(x + 57)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 7, \"d\": 57, \"f\": 407, \"x\": 5}", "seed": "7171574214108947025", "semantic_fingerprint": "sha256:50951c1ad5d8b8ed07336a3b3197c028c99250a218798f1e417f56f4c94ac5ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004234", "prompt": "Solve the equation -5x = 8(x + 83) + 540 for x.", "solution_steps": ["Expand: -5x = 8x + 664 + 540", "Combine constants: -5x = 8x + 1204", "Subtract 8x from both sides: -13x = 1204", "Divide both sides by -13: x = -1204/13"], "final_answer": "-1204/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 8(x + 83) + 540", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": 83, \"d\": 540}", "seed": "6800539220804469076", "semantic_fingerprint": "sha256:c7aa7cf4f249fdf022008fc61b3bbc042112815335e132563f760f002e34a877", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004235", "prompt": "Evaluate: 808 * (-3) + (-13 - (-4))", "solution_steps": ["Multiply: 808 * (-3) = -2424", "Subtract: -13 - (-4) = -9", "Add: -2424 + (-9) = -2433"], "final_answer": "-2433", "answer_type": "integer", "kind": "expression", "math_text": "808 * (-3) + (-13 - (-4))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 808, \"b\": -3, \"c\": -13, \"d\": -4}", "seed": "2312778104732189417", "semantic_fingerprint": "sha256:d2272ada1e5b94c22d040b248caa8721342e637caaa39b110730c83da452bd69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004236", "prompt": "Evaluate: 25 * 97 / (-2 / (1 - (-68))) + (-9)", "solution_steps": ["Multiply: 25 * 97 = 2425", "Subtract: 1 - (-68) = 69", "Divide: -2 / 69 = -2/69", "Divide: 2425 / (-2/69) = -167325/2", "Add: -167325/2 + (-9) = -167343/2"], "final_answer": "-167343/2", "answer_type": "rational", "kind": "expression", "math_text": "25 * 97 / (-2 / (1 - (-68))) + (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 97, \"c\": -2, \"d\": 1, \"e\": -68, \"f\": -9}", "seed": "57952414258013813", "semantic_fingerprint": "sha256:2dba2429ae83ca9ba117d9c6206930f48eec74ddf35210839097af3fcfe80b58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004237", "prompt": "What value of x satisfies -9x - 75 = 3(x - 5)?", "solution_steps": ["Expand: -9x - 75 = 3x - 15", "Subtract 3x from both sides: -12x - 75 = -15", "Add 75 to both sides: -12x = 60", "Divide both sides by -12: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 75 = 3(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 5, \"e\": -75, \"x\": -5}", "seed": "14216594765770973578", "semantic_fingerprint": "sha256:f1bf344ba3ecf3bdc5fda476bf411f363e115ac6d9183766efd40072c4fed6a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004238", "prompt": "What is -26 - (-2 + 11) / (-58)?", "solution_steps": ["Add: -2 + 11 = 9", "Divide: 9 / (-58) = -9/58", "Subtract: -26 - (-9/58) = -1499/58"], "final_answer": "-1499/58", "answer_type": "rational", "kind": "expression", "math_text": "-26 - (-2 + 11) / (-58)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -2, \"c\": 11, \"d\": -58}", "seed": "4915363279342669717", "semantic_fingerprint": "sha256:5e5987964dfebbbfda5efd913c3cefc39a6d8f5083d29a3e737545bb5eaae7bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004239", "prompt": "Solve for x: 10x = -12(x + 9) - 200", "solution_steps": ["Expand: 10x = -12x - 108 - 200", "Combine constants: 10x = -12x - 308", "Add 12x to both sides: 22x = -308", "Divide both sides by 22: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -12(x + 9) - 200", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -12, \"c\": 9, \"e\": -200, \"x\": -14}", "seed": "893993750032903350", "semantic_fingerprint": "sha256:77edcb32d3633d0ce6c668f2e69ab68809b2f866eec9a8a6ccd9c47a088bdf5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004240", "prompt": "Calculate: 51 / (5 - (1 - (-10) / (-73)))", "solution_steps": ["Divide: -10 / (-73) = 10/73", "Subtract: 1 - 10/73 = 63/73", "Subtract: 5 - 63/73 = 302/73", "Divide: 51 / (302/73) = 3723/302"], "final_answer": "3723/302", "answer_type": "rational", "kind": "expression", "math_text": "51 / (5 - (1 - (-10) / (-73)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 5, \"c\": 1, \"d\": -10, \"e\": -73}", "seed": "10525024163499192426", "semantic_fingerprint": "sha256:965fce424a350caf2196dfa765bcdd2642b7eaed9f41886114ebf42dafaa5c43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004241", "prompt": "Compute: 70 * 23 * (-80 / (-39))", "solution_steps": ["Multiply: 70 * 23 = 1610", "Divide: -80 / (-39) = 80/39", "Multiply: 1610 * (80/39) = 128800/39"], "final_answer": "128800/39", "answer_type": "rational", "kind": "expression", "math_text": "70 * 23 * (-80 / (-39))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 23, \"c\": -80, \"d\": -39}", "seed": "11224427163165682251", "semantic_fingerprint": "sha256:77c96074b50921c0e5a8aab27262d7fe7cefb62121fcb25c4b1193d6ae2ea0b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004242", "prompt": "Evaluate: 5 / (-189 - (-12)) + (0 - 8)", "solution_steps": ["Subtract: -189 - (-12) = -177", "Divide: 5 / (-177) = -5/177", "Subtract: 0 - 8 = -8", "Add: -5/177 + (-8) = -1421/177"], "final_answer": "-1421/177", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-189 - (-12)) + (0 - 8)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -189, \"c\": -12, \"d\": 0, \"e\": 8}", "seed": "12015097523895312818", "semantic_fingerprint": "sha256:fa6dadfa1f3dc0c42bf722be7e722525e1c56aad13d7660990719e14a3d126f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004243", "prompt": "Find x: 5(x - 33) + 696 = 9(x + 63)", "solution_steps": ["Expand: 5x - 165 + 696 = 9(x + 63)", "Expand: 5x - 165 + 696 = 9x + 567", "Combine constants: 5x + 531 = 9x + 567", "Subtract 9x from both sides: -4x + 531 = 567", "Subtract 531 from both sides: -4x = 36", "Divide both sides by -4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 33) + 696 = 9(x + 63)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 33, \"c\": 9, \"d\": 63, \"f\": 696, \"x\": -9}", "seed": "14107306882944044856", "semantic_fingerprint": "sha256:3c94575cd2a827157b06fd8ec8781427c6cd0ebc36d6f738f1bd57f9fe0f7187", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004244", "prompt": "What value of x satisfies -8(x - 6) + 8 = 2(x + 8)?", "solution_steps": ["Expand: -8x + 48 + 8 = 2(x + 8)", "Expand: -8x + 48 + 8 = 2x + 16", "Combine constants: -8x + 56 = 2x + 16", "Subtract 2x from both sides: -10x + 56 = 16", "Subtract 56 from both sides: -10x = -40", "Divide both sides by -10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 6) + 8 = 2(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": 2, \"d\": 8, \"f\": 8, \"x\": 4}", "seed": "1899744199694244738", "semantic_fingerprint": "sha256:b15010196e7cafa72648c90de7cfdf8b7a45ecf020ea119906ed967c854eeec8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004245", "prompt": "Solve the equation -4x - 83 = 5x - 137 for x.", "solution_steps": ["Subtract 5x from both sides: -9x - 83 = -137", "Add 83 to both sides: -9x = -54", "Divide both sides by -9: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 83 = 5x - 137", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 83, \"c\": 5, \"e\": -137, \"x\": 6}", "seed": "440133930877067413", "semantic_fingerprint": "sha256:928a3332cdebdcd0d2448c59070f427b379669ec61e5f5b09cc35f8a05ed2af2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004246", "prompt": "What is 12 / ((8 - 42 / 510) / (-92 + (-2)))?", "solution_steps": ["Divide: 42 / 510 = 7/85", "Subtract: 8 - 7/85 = 673/85", "Add: -92 + (-2) = -94", "Divide: (673/85) / (-94) = -673/7990", "Divide: 12 / (-673/7990) = -95880/673"], "final_answer": "-95880/673", "answer_type": "rational", "kind": "expression", "math_text": "12 / ((8 - 42 / 510) / (-92 + (-2)))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 42, \"d\": 510, \"e\": -92, \"f\": -2}", "seed": "16355248310960677378", "semantic_fingerprint": "sha256:202b64cd539f436fcc54ab6d9ffb28c21feda9704ea78f0665e645e4725aefae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004247", "prompt": "Compute: 8 / (82 * (65 + 0))", "solution_steps": ["Add: 65 + 0 = 65", "Multiply: 82 * 65 = 5330", "Divide: 8 / 5330 = 4/2665"], "final_answer": "4/2665", "answer_type": "rational", "kind": "expression", "math_text": "8 / (82 * (65 + 0))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 82, \"c\": 65, \"d\": 0}", "seed": "7298044332394350011", "semantic_fingerprint": "sha256:8e9afbd76fd1af308342bdfb490c953cc860158a7245c1399dbc2a53e9d26fcc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004248", "prompt": "Compute: 9 * (-88) + (49 - 66)", "solution_steps": ["Multiply: 9 * (-88) = -792", "Subtract: 49 - 66 = -17", "Add: -792 + (-17) = -809"], "final_answer": "-809", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-88) + (49 - 66)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -88, \"c\": 49, \"d\": 66}", "seed": "13835456689868668610", "semantic_fingerprint": "sha256:470fbb4a8fe0c421826a9de4637d67d4cb6e5896c2448eaaed285434688bd43b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004249", "prompt": "Calculate: 616 * 0 + (-911) * 519", "solution_steps": ["Multiply: 616 * 0 = 0", "Multiply: -911 * 519 = -472809", "Add: 0 + (-472809) = -472809"], "final_answer": "-472809", "answer_type": "integer", "kind": "expression", "math_text": "616 * 0 + (-911) * 519", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 616, \"b\": 0, \"c\": -911, \"d\": 519}", "seed": "9455671121034013849", "semantic_fingerprint": "sha256:e66b3627790a64159b3c8a7edf332349202c0bf9dfc3d68b6ec9eb4df51f1709", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004250", "prompt": "What is (52 + (73 - (-6)) * 4) / (91 * (-12))?", "solution_steps": ["Subtract: 73 - (-6) = 79", "Multiply: 79 * 4 = 316", "Add: 52 + 316 = 368", "Multiply: 91 * (-12) = -1092", "Divide: 368 / (-1092) = -92/273"], "final_answer": "-92/273", "answer_type": "rational", "kind": "expression", "math_text": "(52 + (73 - (-6)) * 4) / (91 * (-12))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* (- n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 73, \"c\": -6, \"d\": 4, \"e\": 91, \"f\": -12}", "seed": "11665382636824948552", "semantic_fingerprint": "sha256:98a4383bb3d3ebb68e42a864679aad3eb283b2c8187356a0ed95d429ca84f5ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004251", "prompt": "Solve for x: 12(x + 89) = -3(x - 3) + 924", "solution_steps": ["Expand: 12x + 1068 = -3(x - 3) + 924", "Expand: 12x + 1068 = -3x + 9 + 924", "Combine constants: 12x + 1068 = -3x + 933", "Add 3x to both sides: 15x + 1068 = 933", "Subtract 1068 from both sides: 15x = -135", "Divide both sides by 15: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 89) = -3(x - 3) + 924", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 89, \"c\": -3, \"d\": 3, \"f\": 924, \"x\": -9}", "seed": "3973766978706001187", "semantic_fingerprint": "sha256:91d5a2881417f2d5368e65216fee8ad5af4d40809c7f4782ec12bff422914231", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004252", "prompt": "What is 6 / (-49) * (-91) * (38 * 4)?", "solution_steps": ["Divide: 6 / (-49) = -6/49", "Multiply: (-6/49) * (-91) = 78/7", "Multiply: 38 * 4 = 152", "Multiply: (78/7) * 152 = 11856/7"], "final_answer": "11856/7", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-49) * (-91) * (38 * 4)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -49, \"c\": -91, \"d\": 38, \"e\": 4}", "seed": "15788101399388384385", "semantic_fingerprint": "sha256:779f2f571278ebfe6ad030548b0ad09c9dc7f5308dee3532b5fce5ebe6cc7ef8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004253", "prompt": "What is -93 - (-94) + 235 / (0 - 82)?", "solution_steps": ["Subtract: -93 - (-94) = 1", "Subtract: 0 - 82 = -82", "Divide: 235 / (-82) = -235/82", "Add: 1 + (-235/82) = -153/82"], "final_answer": "-153/82", "answer_type": "rational", "kind": "expression", "math_text": "-93 - (-94) + 235 / (0 - 82)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -94, \"c\": 235, \"d\": 0, \"e\": 82}", "seed": "2673606103014074260", "semantic_fingerprint": "sha256:e79f7b0dd20bcd98df7fd0221ca74df2e021061a034348e168085e0ce5ed919f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004254", "prompt": "Compute: 0 / (-74) + 2 - 590 * 5", "solution_steps": ["Divide: 0 / (-74) = 0", "Add: 0 + 2 = 2", "Multiply: 590 * 5 = 2950", "Subtract: 2 - 2950 = -2948"], "final_answer": "-2948", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-74) + 2 - 590 * 5", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -74, \"c\": 2, \"d\": 590, \"e\": 5}", "seed": "16833353497913968116", "semantic_fingerprint": "sha256:44be7c430f90321d8ebaebb514ec972371708cc3448b19ead99cef8d1a355421", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004255", "prompt": "Compute: 39 / 92 - (-38) * 7 / 36", "solution_steps": ["Divide: 39 / 92 = 39/92", "Multiply: -38 * 7 = -266", "Divide: -266 / 36 = -133/18", "Subtract: 39/92 - (-133/18) = 6469/828"], "final_answer": "6469/828", "answer_type": "rational", "kind": "expression", "math_text": "39 / 92 - (-38) * 7 / 36", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 92, \"c\": -38, \"d\": 7, \"e\": 36}", "seed": "16519449704501475542", "semantic_fingerprint": "sha256:dafe7f693384d49b61601de385cd4e7b9cb56e9270889dbae81506f9eef77d5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004256", "prompt": "Compute: -457 * (-63) - 89 + 580 / 5", "solution_steps": ["Multiply: -457 * (-63) = 28791", "Subtract: 28791 - 89 = 28702", "Divide: 580 / 5 = 116", "Add: 28702 + 116 = 28818"], "final_answer": "28818", "answer_type": "integer", "kind": "expression", "math_text": "-457 * (-63) - 89 + 580 / 5", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -457, \"b\": -63, \"c\": 89, \"d\": 580, \"e\": 5}", "seed": "13161151908716222233", "semantic_fingerprint": "sha256:c55ce332e5205dc6a45728a2ad8214ea8169593a0329f6250bce50f364b902fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004257", "prompt": "Compute: -3 * (-352) / (-63 + (34 + (-9)))", "solution_steps": ["Multiply: -3 * (-352) = 1056", "Add: 34 + (-9) = 25", "Add: -63 + 25 = -38", "Divide: 1056 / (-38) = -528/19"], "final_answer": "-528/19", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-352) / (-63 + (34 + (-9)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -352, \"c\": -63, \"d\": 34, \"e\": -9}", "seed": "12158352014942626431", "semantic_fingerprint": "sha256:3d707d3477f0f5d9388d519dbd39298ddfe83aa18b5bd09ded0ff1ed2fd6eabe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004258", "prompt": "Evaluate: -279 * (-7) * (18 / (-6))", "solution_steps": ["Multiply: -279 * (-7) = 1953", "Divide: 18 / (-6) = -3", "Multiply: 1953 * (-3) = -5859"], "final_answer": "-5859", "answer_type": "integer", "kind": "expression", "math_text": "-279 * (-7) * (18 / (-6))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -279, \"b\": -7, \"c\": 18, \"d\": -6}", "seed": "17965607107103657192", "semantic_fingerprint": "sha256:e33b9e27996bfd21d3b911d601d58707023843b7d3d0594e9504d096b7d7e437", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004259", "prompt": "What is (-982 + 831) / 99 + (-7)?", "solution_steps": ["Add: -982 + 831 = -151", "Divide: -151 / 99 = -151/99", "Add: -151/99 + (-7) = -844/99"], "final_answer": "-844/99", "answer_type": "rational", "kind": "expression", "math_text": "(-982 + 831) / 99 + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -982, \"b\": 831, \"c\": 99, \"d\": -7}", "seed": "8079391466306302050", "semantic_fingerprint": "sha256:4a6fd1f0c5049e38b878a922c6a02626c093e02ac1936b50b79bac80d2415b4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004260", "prompt": "Evaluate: 3 - 727 - (4 - (-258) - 70)", "solution_steps": ["Subtract: 3 - 727 = -724", "Subtract: 4 - (-258) = 262", "Subtract: 262 - 70 = 192", "Subtract: -724 - 192 = -916"], "final_answer": "-916", "answer_type": "integer", "kind": "expression", "math_text": "3 - 727 - (4 - (-258) - 70)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 727, \"c\": 4, \"d\": -258, \"e\": 70}", "seed": "15667348352392586047", "semantic_fingerprint": "sha256:2b45321fcb88a29bade65b1e963bd25f9c1e460b1bf90da4d15c1c9471a24c21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004261", "prompt": "What value of x satisfies 3(x + 316) + 9 = x + 993?", "solution_steps": ["Expand: 3x + 948 + 9 = x + 993", "Combine constants: 3x + 957 = x + 993", "Subtract x from both sides: 2x + 957 = 993", "Subtract 957 from both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 316) + 9 = x + 993", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 316, \"c\": 9, \"e\": 993, \"x\": 18}", "seed": "11963218478461660891", "semantic_fingerprint": "sha256:98215b2b0e4918a97dce22735ee9533de4b18c696375be5be3ad571df401683c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004262", "prompt": "Solve for x: 11x = -2(x + 2) - 100", "solution_steps": ["Expand: 11x = -2x - 4 - 100", "Combine constants: 11x = -2x - 104", "Add 2x to both sides: 13x = -104", "Divide both sides by 13: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -2(x + 2) - 100", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -2, \"c\": 2, \"e\": -100, \"x\": -8}", "seed": "370884985922772849", "semantic_fingerprint": "sha256:ae71dba972c103affff051aa2f64c03317246ee8c66124fb1eb75134be0a4286", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004263", "prompt": "Solve for x: 9(x - 75) + 834 = 2(x + 97)", "solution_steps": ["Expand: 9x - 675 + 834 = 2(x + 97)", "Expand: 9x - 675 + 834 = 2x + 194", "Combine constants: 9x + 159 = 2x + 194", "Subtract 2x from both sides: 7x + 159 = 194", "Subtract 159 from both sides: 7x = 35", "Divide both sides by 7: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 75) + 834 = 2(x + 97)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 75, \"c\": 2, \"d\": 97, \"f\": 834, \"x\": 5}", "seed": "7773515607232090924", "semantic_fingerprint": "sha256:61668f2f38ea63a55ca0109df4609b7dd42e7057b609fc26cef8067c9567d725", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004264", "prompt": "What is -99 * 95 - (-21 + 41) - 138?", "solution_steps": ["Multiply: -99 * 95 = -9405", "Add: -21 + 41 = 20", "Subtract: -9405 - 20 = -9425", "Subtract: -9425 - 138 = -9563"], "final_answer": "-9563", "answer_type": "integer", "kind": "expression", "math_text": "-99 * 95 - (-21 + 41) - 138", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 95, \"c\": -21, \"d\": 41, \"e\": 138}", "seed": "17353966306274226977", "semantic_fingerprint": "sha256:231f81640fc5c4aad97cc7b3a18ae762b26022b479c4243b38be03f0153ef675", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004265", "prompt": "Evaluate: 5 * (-60) * (8 / 57)", "solution_steps": ["Multiply: 5 * (-60) = -300", "Divide: 8 / 57 = 8/57", "Multiply: -300 * (8/57) = -800/19"], "final_answer": "-800/19", "answer_type": "rational", "kind": "expression", "math_text": "5 * (-60) * (8 / 57)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -60, \"c\": 8, \"d\": 57}", "seed": "15859330367401410181", "semantic_fingerprint": "sha256:66eaa64524d9fc1421cbe2f878ff89021c2dce582b144592258a5d0ed1c61359", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004266", "prompt": "Solve the equation 10x = 4(x + 4) - 46 for x.", "solution_steps": ["Expand: 10x = 4x + 16 - 46", "Combine constants: 10x = 4x - 30", "Subtract 4x from both sides: 6x = -30", "Divide both sides by 6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 4(x + 4) - 46", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 4, \"d\": 46}", "seed": "4331359214894829973", "semantic_fingerprint": "sha256:76f2c4d0a387d086ac1da05cff1f2f050fac9a94c2033d22c9e78aee084fd3d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004267", "prompt": "Evaluate: 9 / 68 - 0 * (-3) / 5", "solution_steps": ["Divide: 9 / 68 = 9/68", "Multiply: 0 * (-3) = 0", "Divide: 0 / 5 = 0", "Subtract: 9/68 - 0 = 9/68"], "final_answer": "9/68", "answer_type": "rational", "kind": "expression", "math_text": "9 / 68 - 0 * (-3) / 5", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 68, \"c\": 0, \"d\": -3, \"e\": 5}", "seed": "16334588416421551342", "semantic_fingerprint": "sha256:287c6571829f2a113ebe37167657b2bbff328c22989e84c6a00ef4ae4ea99843", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004268", "prompt": "What is 6 / 8 / (-40 / (-50 - 6)) * (-3)?", "solution_steps": ["Divide: 6 / 8 = 3/4", "Subtract: -50 - 6 = -56", "Divide: -40 / (-56) = 5/7", "Divide: (3/4) / (5/7) = 21/20", "Multiply: (21/20) * (-3) = -63/20"], "final_answer": "-63/20", "answer_type": "rational", "kind": "expression", "math_text": "6 / 8 / (-40 / (-50 - 6)) * (-3)", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": -40, \"d\": -50, \"e\": 6, \"f\": -3}", "seed": "6481914591621081142", "semantic_fingerprint": "sha256:2c24091fb02ca8823f509d457926d33f667549ba2107c417790ea0d070b5cd3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004269", "prompt": "Solve the equation 6x - 6 = -7x - 240 for x.", "solution_steps": ["Add 7x to both sides: 13x - 6 = -240", "Add 6 to both sides: 13x = -234", "Divide both sides by 13: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 6 = -7x - 240", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": -7, \"e\": -240, \"x\": -18}", "seed": "17061647733257296946", "semantic_fingerprint": "sha256:e7a82ce12a2101a76001ab9d2f668691519f3b87fb31b94382c979a5bc5a4105", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004270", "prompt": "What is -52 * (-52 - 24 - (-61)) * (-2)?", "solution_steps": ["Subtract: -52 - 24 = -76", "Subtract: -76 - (-61) = -15", "Multiply: -52 * (-15) = 780", "Multiply: 780 * (-2) = -1560"], "final_answer": "-1560", "answer_type": "integer", "kind": "expression", "math_text": "-52 * (-52 - 24 - (-61)) * (-2)", "variable": null, "family": "expression_4op", "shape": "(* (* n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -52, \"c\": 24, \"d\": -61, \"e\": -2}", "seed": "2030670845091135243", "semantic_fingerprint": "sha256:7b0e0ba67eb988fe62d0e5f39a3a91a45ddc385dd2706f42803ce143b49b0fd8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004271", "prompt": "Evaluate: 24 + (-36) * (-93) - (-23 + 95)", "solution_steps": ["Multiply: -36 * (-93) = 3348", "Add: 24 + 3348 = 3372", "Add: -23 + 95 = 72", "Subtract: 3372 - 72 = 3300"], "final_answer": "3300", "answer_type": "integer", "kind": "expression", "math_text": "24 + (-36) * (-93) - (-23 + 95)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -36, \"c\": -93, \"d\": -23, \"e\": 95}", "seed": "5658063821053349511", "semantic_fingerprint": "sha256:af96a5641259ec46e8b94d7534d306a0e8cfc7adb4c73bd4229609a2862db046", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004272", "prompt": "Find x: 3(x + 9) + 17 = x + 4", "solution_steps": ["Expand: 3x + 27 + 17 = x + 4", "Combine constants: 3x + 44 = x + 4", "Subtract x from both sides: 2x + 44 = 4", "Subtract 44 from both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) + 17 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 17, \"e\": 4, \"x\": -20}", "seed": "12306460228649246463", "semantic_fingerprint": "sha256:9b5e90ce286a4bcdd68eb553c3f33ce238683187670fcf91d71d2bd9805a5578", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004273", "prompt": "What is (-5 - (-53 + (-3))) / (247 / (-233))?", "solution_steps": ["Add: -53 + (-3) = -56", "Subtract: -5 - (-56) = 51", "Divide: 247 / (-233) = -247/233", "Divide: 51 / (-247/233) = -11883/247"], "final_answer": "-11883/247", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-53 + (-3))) / (247 / (-233))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -53, \"c\": -3, \"d\": 247, \"e\": -233}", "seed": "913254898003911539", "semantic_fingerprint": "sha256:a7863129de09e98a2ff151503258bb12b291854cac2cb8ae87b803bf9eb1b789", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004274", "prompt": "Compute: (-5 + (-163)) * (-7 - (-95 - (-86)))", "solution_steps": ["Add: -5 + (-163) = -168", "Subtract: -95 - (-86) = -9", "Subtract: -7 - (-9) = 2", "Multiply: -168 * 2 = -336"], "final_answer": "-336", "answer_type": "integer", "kind": "expression", "math_text": "(-5 + (-163)) * (-7 - (-95 - (-86)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -163, \"c\": -7, \"d\": -95, \"e\": -86}", "seed": "6502718830589284020", "semantic_fingerprint": "sha256:5b1c1c893d6a8d403c601701c7609c7a336d3d164d71a3e0b071c5b389bca920", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004275", "prompt": "Compute: 705 / (-11) / (-1 / 224) * 44", "solution_steps": ["Divide: 705 / (-11) = -705/11", "Divide: -1 / 224 = -1/224", "Divide: (-705/11) / (-1/224) = 157920/11", "Multiply: (157920/11) * 44 = 631680"], "final_answer": "631680", "answer_type": "integer", "kind": "expression", "math_text": "705 / (-11) / (-1 / 224) * 44", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 705, \"b\": -11, \"c\": -1, \"d\": 224, \"e\": 44}", "seed": "370910727267520690", "semantic_fingerprint": "sha256:bdbb1968d9a9f798bb02a2cb365b5d7ba68c3c51c8dc0b116b701a1f8680218a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004276", "prompt": "Solve the equation 12x = -2(x + 4) - 62 for x.", "solution_steps": ["Expand: 12x = -2x - 8 - 62", "Combine constants: 12x = -2x - 70", "Add 2x to both sides: 14x = -70", "Divide both sides by 14: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -2(x + 4) - 62", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -2, \"c\": 4, \"e\": -62, \"x\": -5}", "seed": "9443522962698033362", "semantic_fingerprint": "sha256:2c6ff7e9b460b091063113b25f82ded2199ebc400c9a64592843edd133b59fb8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004277", "prompt": "Calculate: -421 / (0 - 3) * (-3 - (0 - (-8)))", "solution_steps": ["Subtract: 0 - 3 = -3", "Divide: -421 / (-3) = 421/3", "Subtract: 0 - (-8) = 8", "Subtract: -3 - 8 = -11", "Multiply: (421/3) * (-11) = -4631/3"], "final_answer": "-4631/3", "answer_type": "rational", "kind": "expression", "math_text": "-421 / (0 - 3) * (-3 - (0 - (-8)))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n n)) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -421, \"b\": 0, \"c\": 3, \"d\": -3, \"e\": 0, \"f\": -8}", "seed": "1138967810227373306", "semantic_fingerprint": "sha256:e62eb95310b6378da9fd5f234ae0add1da0132c6ad3703a7c5dcb0c93ca9fd02", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004278", "prompt": "Evaluate: 403 + (79 / (-7) - (-392 - (-23)))", "solution_steps": ["Divide: 79 / (-7) = -79/7", "Subtract: -392 - (-23) = -369", "Subtract: -79/7 - (-369) = 2504/7", "Add: 403 + 2504/7 = 5325/7"], "final_answer": "5325/7", "answer_type": "rational", "kind": "expression", "math_text": "403 + (79 / (-7) - (-392 - (-23)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 403, \"b\": 79, \"c\": -7, \"d\": -392, \"e\": -23}", "seed": "2252776783282070431", "semantic_fingerprint": "sha256:02d523e8d1fc9854e4801ad6354c71e65f27d661519f4254b4dd28ec900bfa29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004279", "prompt": "Compute: (245 + 4) / (-47) + 88", "solution_steps": ["Add: 245 + 4 = 249", "Divide: 249 / (-47) = -249/47", "Add: -249/47 + 88 = 3887/47"], "final_answer": "3887/47", "answer_type": "rational", "kind": "expression", "math_text": "(245 + 4) / (-47) + 88", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 245, \"b\": 4, \"c\": -47, \"d\": 88}", "seed": "11002256164065194813", "semantic_fingerprint": "sha256:48f288653b4660408b9fde23bc895ce4b87d8f2633c85d5b5da471f5196270c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004280", "prompt": "Calculate: -2 * (7 / ((-225 + 2) / (-95)))", "solution_steps": ["Add: -225 + 2 = -223", "Divide: -223 / (-95) = 223/95", "Divide: 7 / (223/95) = 665/223", "Multiply: -2 * (665/223) = -1330/223"], "final_answer": "-1330/223", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (7 / ((-225 + 2) / (-95)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (/ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": -225, \"d\": 2, \"e\": -95}", "seed": "17828427481447888871", "semantic_fingerprint": "sha256:c118ae770c6a07a775a15a2265413125df1ae1704c5af223d7d47f63844958b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004281", "prompt": "What value of x satisfies -12x = 11(x + 36) - 4?", "solution_steps": ["Expand: -12x = 11x + 396 - 4", "Combine constants: -12x = 11x + 392", "Subtract 11x from both sides: -23x = 392", "Divide both sides by -23: x = -392/23"], "final_answer": "-392/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 11(x + 36) - 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 11, \"c\": 36, \"d\": 4}", "seed": "7302825812480771343", "semantic_fingerprint": "sha256:cd24da9b8004e229919cae96dde060b2dd5c68ff0c755621cd9f553661bef958", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004282", "prompt": "Evaluate: (-48 / (-18) + 95) / (778 + (-263) + 38)", "solution_steps": ["Divide: -48 / (-18) = 8/3", "Add: 8/3 + 95 = 293/3", "Add: 778 + (-263) = 515", "Add: 515 + 38 = 553", "Divide: (293/3) / 553 = 293/1659"], "final_answer": "293/1659", "answer_type": "rational", "kind": "expression", "math_text": "(-48 / (-18) + 95) / (778 + (-263) + 38)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -18, \"c\": 95, \"d\": 778, \"e\": -263, \"f\": 38}", "seed": "11607937543350318905", "semantic_fingerprint": "sha256:0a5cf8f3ad260bbc55354eac50aacaa33c2d317020045bd0ff59844c4f3e242e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004283", "prompt": "What value of x satisfies 9x = 8(x + 1) + 1?", "solution_steps": ["Expand: 9x = 8x + 8 + 1", "Combine constants: 9x = 8x + 9", "Subtract 8x from both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8(x + 1) + 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 1, \"d\": 1}", "seed": "9153917950685950946", "semantic_fingerprint": "sha256:610c916d8a410e0b14119d1481081440791a779810fc331f6e01e2559c5da403", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004284", "prompt": "Evaluate: -956 / (4 / 87) * (-39 / (-7))", "solution_steps": ["Divide: 4 / 87 = 4/87", "Divide: -956 / (4/87) = -20793", "Divide: -39 / (-7) = 39/7", "Multiply: -20793 * (39/7) = -810927/7"], "final_answer": "-810927/7", "answer_type": "rational", "kind": "expression", "math_text": "-956 / (4 / 87) * (-39 / (-7))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -956, \"b\": 4, \"c\": 87, \"d\": -39, \"e\": -7}", "seed": "13235700758925253682", "semantic_fingerprint": "sha256:2f70c67aed7207f7337420674e3c8c265865357d81de20a5a869664e8e48475a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004285", "prompt": "Find x: -12(x - 4) + 12 = 7(x + 51)", "solution_steps": ["Expand: -12x + 48 + 12 = 7(x + 51)", "Expand: -12x + 48 + 12 = 7x + 357", "Combine constants: -12x + 60 = 7x + 357", "Subtract 7x from both sides: -19x + 60 = 357", "Subtract 60 from both sides: -19x = 297", "Divide both sides by -19: x = -297/19"], "final_answer": "-297/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 4) + 12 = 7(x + 51)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"c\": 12, \"d\": 7, \"e\": 51}", "seed": "7414322671049845777", "semantic_fingerprint": "sha256:e15364610e3d4a71a58ddc2f1dccc8d47ac19121a10f6bd9a1f7575fa7defe08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004286", "prompt": "Solve the equation 12x - 60 = 8(x - 5) for x.", "solution_steps": ["Expand: 12x - 60 = 8x - 40", "Subtract 8x from both sides: 4x - 60 = -40", "Add 60 to both sides: 4x = 20", "Divide both sides by 4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 60 = 8(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 5, \"e\": -60, \"x\": 5}", "seed": "2534741329002740286", "semantic_fingerprint": "sha256:b57cd1495e9342e8ccf3322f8e3214c345ec6111c50c0d472f513a4c6e1a96bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004287", "prompt": "Solve the equation 3(x - 43) + 7 = -7(x + 16) for x.", "solution_steps": ["Expand: 3x - 129 + 7 = -7(x + 16)", "Expand: 3x - 129 + 7 = -7x - 112", "Combine constants: 3x - 122 = -7x - 112", "Add 7x to both sides: 10x - 122 = -112", "Add 122 to both sides: 10x = 10", "Divide both sides by 10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 43) + 7 = -7(x + 16)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 43, \"c\": -7, \"d\": 16, \"f\": 7, \"x\": 1}", "seed": "13016865981916504327", "semantic_fingerprint": "sha256:2b343e36db82baee0f409ae5aeb689e0bc3e26d3ef26d3509551643dfc23cb78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004288", "prompt": "Solve for x: 3(x + 78) + 5 = x + 239", "solution_steps": ["Expand: 3x + 234 + 5 = x + 239", "Combine constants: 3x + 239 = x + 239", "Subtract x from both sides: 2x + 239 = 239", "Subtract 239 from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 78) + 5 = x + 239", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 78, \"c\": 5, \"e\": 239, \"x\": 0}", "seed": "10386395926765299812", "semantic_fingerprint": "sha256:37cae4f6ed714783546216840d514f7f11eb67a95e7f33bdc0e68332db3a7e5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004289", "prompt": "What is 7 / (94 / 7) / (-6) - 53?", "solution_steps": ["Divide: 94 / 7 = 94/7", "Divide: 7 / (94/7) = 49/94", "Divide: (49/94) / (-6) = -49/564", "Subtract: -49/564 - 53 = -29941/564"], "final_answer": "-29941/564", "answer_type": "rational", "kind": "expression", "math_text": "7 / (94 / 7) / (-6) - 53", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 94, \"c\": 7, \"d\": -6, \"e\": 53}", "seed": "14376215491942241061", "semantic_fingerprint": "sha256:5418cb51f4f6c6c41dd8b059cb8dbc9ce6db78d7e3a777dc107e3fc3084a1c5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004290", "prompt": "Evaluate: 89 + (-1 / (932 * 1) - (-80))", "solution_steps": ["Multiply: 932 * 1 = 932", "Divide: -1 / 932 = -1/932", "Subtract: -1/932 - (-80) = 74559/932", "Add: 89 + 74559/932 = 157507/932"], "final_answer": "157507/932", "answer_type": "rational", "kind": "expression", "math_text": "89 + (-1 / (932 * 1) - (-80))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -1, \"c\": 932, \"d\": 1, \"e\": -80}", "seed": "14971532543308205410", "semantic_fingerprint": "sha256:d36e7377547cda308751a24d96b1050b7fa1b9ed23743b7bbc91afc54581ad93", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004291", "prompt": "Evaluate: 38 / (-30) * (-9) * (4 * 7)", "solution_steps": ["Divide: 38 / (-30) = -19/15", "Multiply: (-19/15) * (-9) = 57/5", "Multiply: 4 * 7 = 28", "Multiply: (57/5) * 28 = 1596/5"], "final_answer": "1596/5", "answer_type": "rational", "kind": "expression", "math_text": "38 / (-30) * (-9) * (4 * 7)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -30, \"c\": -9, \"d\": 4, \"e\": 7}", "seed": "14373728906988135433", "semantic_fingerprint": "sha256:3f189e22986c0b44810da168b1e6c72c5e3ec32c3f4e9f490c29447b7bd5f82f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004292", "prompt": "Calculate: (-573 + 257) / (-6 + 8)", "solution_steps": ["Add: -573 + 257 = -316", "Add: -6 + 8 = 2", "Divide: -316 / 2 = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "expression", "math_text": "(-573 + 257) / (-6 + 8)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -573, \"b\": 257, \"c\": -6, \"d\": 8}", "seed": "11075105721283749112", "semantic_fingerprint": "sha256:6a5a6ca5b1fbcdcce25bd51e8f21fb3037098e61194c7006c9860c7fa799a2d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004293", "prompt": "Solve for x: 5x = 4(x + 53) - 216", "solution_steps": ["Expand: 5x = 4x + 212 - 216", "Combine constants: 5x = 4x - 4", "Subtract 4x from both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 4(x + 53) - 216", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 53, \"e\": -216, \"x\": -4}", "seed": "735338488253584223", "semantic_fingerprint": "sha256:85b4c5c9a7106b179c63297bf18659c21c3c09eca3b73ec899082d83ad5c212d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004294", "prompt": "Compute: -18 - 33 - (9 - (-4) - 39 + 958)", "solution_steps": ["Subtract: -18 - 33 = -51", "Subtract: 9 - (-4) = 13", "Subtract: 13 - 39 = -26", "Add: -26 + 958 = 932", "Subtract: -51 - 932 = -983"], "final_answer": "-983", "answer_type": "integer", "kind": "expression", "math_text": "-18 - 33 - (9 - (-4) - 39 + 958)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (- (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 33, \"c\": 9, \"d\": -4, \"e\": 39, \"f\": 958}", "seed": "6812269026143284082", "semantic_fingerprint": "sha256:62cec5f264d7c4f04f180ca81a1f4cfdbf5e594ebe15a6a022f939b28efcde75", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004295", "prompt": "Evaluate: -317 / 62 * (-7) - (-358 + 56)", "solution_steps": ["Divide: -317 / 62 = -317/62", "Multiply: (-317/62) * (-7) = 2219/62", "Add: -358 + 56 = -302", "Subtract: 2219/62 - (-302) = 20943/62"], "final_answer": "20943/62", "answer_type": "rational", "kind": "expression", "math_text": "-317 / 62 * (-7) - (-358 + 56)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -317, \"b\": 62, \"c\": -7, \"d\": -358, \"e\": 56}", "seed": "2257599670403065542", "semantic_fingerprint": "sha256:f1d3d312cf925e8ccaaee7a7f1070de3e93b3ae03ee95e5e7bfd3cb5430ac3ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004296", "prompt": "What is 676 / (-78) + (-584) - (-3) * (-103)?", "solution_steps": ["Divide: 676 / (-78) = -26/3", "Add: -26/3 + (-584) = -1778/3", "Multiply: -3 * (-103) = 309", "Subtract: -1778/3 - 309 = -2705/3"], "final_answer": "-2705/3", "answer_type": "rational", "kind": "expression", "math_text": "676 / (-78) + (-584) - (-3) * (-103)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 676, \"b\": -78, \"c\": -584, \"d\": -3, \"e\": -103}", "seed": "16044490663343628376", "semantic_fingerprint": "sha256:3cbd439d9b4d1b955aa0dbf0789ac7f854f71c34b344ff69ddabf8aaf7d787d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004297", "prompt": "Compute: 3 * (-29 / (17 / 7)) / 4", "solution_steps": ["Divide: 17 / 7 = 17/7", "Divide: -29 / (17/7) = -203/17", "Multiply: 3 * (-203/17) = -609/17", "Divide: (-609/17) / 4 = -609/68"], "final_answer": "-609/68", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-29 / (17 / 7)) / 4", "variable": null, "family": "expression_4op", "shape": "(/ (* n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -29, \"c\": 17, \"d\": 7, \"e\": 4}", "seed": "4312578984952042680", "semantic_fingerprint": "sha256:eabffdbff7ebacc9a48d427c0fc59e17037db882e9088225449e027a214a9da3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004298", "prompt": "Solve the equation 3(x + 80) + 53 = x + 555 for x.", "solution_steps": ["Expand: 3x + 240 + 53 = x + 555", "Combine constants: 3x + 293 = x + 555", "Subtract x from both sides: 2x + 293 = 555", "Subtract 293 from both sides: 2x = 262", "Divide both sides by 2: x = 131"], "final_answer": "131", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 80) + 53 = x + 555", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 80, \"c\": 53, \"d\": 555}", "seed": "6324739545860443834", "semantic_fingerprint": "sha256:14b9e61067bda34c481a330a394ed228268b5d2546c4403b9b86d9cd5f49b85c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004299", "prompt": "Compute: (-624 - 3 * 7) / (1 * 75) / 534", "solution_steps": ["Multiply: 3 * 7 = 21", "Subtract: -624 - 21 = -645", "Multiply: 1 * 75 = 75", "Divide: -645 / 75 = -43/5", "Divide: (-43/5) / 534 = -43/2670"], "final_answer": "-43/2670", "answer_type": "rational", "kind": "expression", "math_text": "(-624 - 3 * 7) / (1 * 75) / 534", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n (* n n)) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -624, \"b\": 3, \"c\": 7, \"d\": 1, \"e\": 75, \"f\": 534}", "seed": "7871655815276987899", "semantic_fingerprint": "sha256:66358a32c19a87750331f2f4313cb67929eb0ae31aa19c88ba4ada46e1641dce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004300", "prompt": "What is -13 * (-149) * (6 - (-58) - (-46 + 522))?", "solution_steps": ["Multiply: -13 * (-149) = 1937", "Subtract: 6 - (-58) = 64", "Add: -46 + 522 = 476", "Subtract: 64 - 476 = -412", "Multiply: 1937 * (-412) = -798044"], "final_answer": "-798044", "answer_type": "integer", "kind": "expression", "math_text": "-13 * (-149) * (6 - (-58) - (-46 + 522))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -149, \"c\": 6, \"d\": -58, \"e\": -46, \"f\": 522}", "seed": "10227037053993389162", "semantic_fingerprint": "sha256:41523d2e7c59bf9fa97c9f4af5bec3747012d12641cf0cf20664f19de59b32fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004301", "prompt": "Compute: (150 - 74 * 725) / (-3)", "solution_steps": ["Multiply: 74 * 725 = 53650", "Subtract: 150 - 53650 = -53500", "Divide: -53500 / (-3) = 53500/3"], "final_answer": "53500/3", "answer_type": "rational", "kind": "expression", "math_text": "(150 - 74 * 725) / (-3)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 150, \"b\": 74, \"c\": 725, \"d\": -3}", "seed": "617475120627461951", "semantic_fingerprint": "sha256:7fb47e800124ddaa2f2fa8d48c74c8d16aab011bc5540d461b702b4a648d3870", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004302", "prompt": "Evaluate: -361 * (-77 + (-182) * (-8))", "solution_steps": ["Multiply: -182 * (-8) = 1456", "Add: -77 + 1456 = 1379", "Multiply: -361 * 1379 = -497819"], "final_answer": "-497819", "answer_type": "integer", "kind": "expression", "math_text": "-361 * (-77 + (-182) * (-8))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -361, \"b\": -77, \"c\": -182, \"d\": -8}", "seed": "16574264744436495655", "semantic_fingerprint": "sha256:f7e7ac6acd3e7caf6a5dca3260f1b86c651da639b3daaec62d74113d87b799e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004303", "prompt": "Evaluate: -43 / 4 / (-79 * (-7)) * (-8)", "solution_steps": ["Divide: -43 / 4 = -43/4", "Multiply: -79 * (-7) = 553", "Divide: (-43/4) / 553 = -43/2212", "Multiply: (-43/2212) * (-8) = 86/553"], "final_answer": "86/553", "answer_type": "rational", "kind": "expression", "math_text": "-43 / 4 / (-79 * (-7)) * (-8)", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 4, \"c\": -79, \"d\": -7, \"e\": -8}", "seed": "13327190746888729822", "semantic_fingerprint": "sha256:ee91137e7aba499e0e5a493421a4f0cc0a9a97df022378580cae8b46763926ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004304", "prompt": "Solve for x: 12x - 89 = 8x - 93", "solution_steps": ["Subtract 8x from both sides: 4x - 89 = -93", "Add 89 to both sides: 4x = -4", "Divide both sides by 4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 89 = 8x - 93", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 89, \"c\": 8, \"e\": -93, \"x\": -1}", "seed": "650190712721368169", "semantic_fingerprint": "sha256:88db562f391669d9e7b9b136e73bab8deff79d9425b621ca519354870171ab3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004305", "prompt": "Calculate: -7 - 514 + (90 + (-25)) - (-18) / (-1)", "solution_steps": ["Subtract: -7 - 514 = -521", "Add: 90 + (-25) = 65", "Add: -521 + 65 = -456", "Divide: -18 / (-1) = 18", "Subtract: -456 - 18 = -474"], "final_answer": "-474", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 514 + (90 + (-25)) - (-18) / (-1)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 514, \"c\": 90, \"d\": -25, \"e\": -18, \"f\": -1}", "seed": "12840348428268068798", "semantic_fingerprint": "sha256:741f16af15734384555d096a9d7a1d8df4cab6a81568a93052f4a1a95d01552b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004306", "prompt": "Evaluate: 89 / (-3 * (-981 + (-27)))", "solution_steps": ["Add: -981 + (-27) = -1008", "Multiply: -3 * (-1008) = 3024", "Divide: 89 / 3024 = 89/3024"], "final_answer": "89/3024", "answer_type": "rational", "kind": "expression", "math_text": "89 / (-3 * (-981 + (-27)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -3, \"c\": -981, \"d\": -27}", "seed": "12851459050048615026", "semantic_fingerprint": "sha256:8efd5aa313ff724e083d42106f33cb0afb918d3683ada493c379de7a04ebdda7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004307", "prompt": "Find x: 6x - 3 = 4x - 11", "solution_steps": ["Subtract 4x from both sides: 2x - 3 = -11", "Add 3 to both sides: 2x = -8", "Divide both sides by 2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 3 = 4x - 11", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 4, \"e\": -11, \"x\": -4}", "seed": "17290888153641020041", "semantic_fingerprint": "sha256:4b8539a365624d4861aa1acf8fa5dca6bd67bf8894fe26fd3f7c93be85687835", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004308", "prompt": "What is 9 * 19 + (-98) + (-48)?", "solution_steps": ["Multiply: 9 * 19 = 171", "Add: 171 + (-98) = 73", "Add: 73 + (-48) = 25"], "final_answer": "25", "answer_type": "integer", "kind": "expression", "math_text": "9 * 19 + (-98) + (-48)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 19, \"c\": -98, \"d\": -48}", "seed": "18091443584102420504", "semantic_fingerprint": "sha256:869e2e6c3b7c6ad2a6d9397288015a169fa27a5081c117f4b10966d8e3d5cef7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004309", "prompt": "What value of x satisfies 2(x + 1) + 590 = x + 80?", "solution_steps": ["Expand: 2x + 2 + 590 = x + 80", "Combine constants: 2x + 592 = x + 80", "Subtract x from both sides: x + 592 = 80", "Subtract 592 from both sides: x = -512"], "final_answer": "-512", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 1) + 590 = x + 80", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 590, \"d\": 80}", "seed": "1343425156626301530", "semantic_fingerprint": "sha256:10f79f8eaa8a65db01e2d363c98a26115884b928500639018d33240b5103e31c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004310", "prompt": "Solve for x: 8(x + 5) + 52 = x + 92", "solution_steps": ["Expand: 8x + 40 + 52 = x + 92", "Combine constants: 8x + 92 = x + 92", "Subtract x from both sides: 7x + 92 = 92", "Subtract 92 from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 5) + 52 = x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 52, \"e\": 92, \"x\": 0}", "seed": "4691956867798019441", "semantic_fingerprint": "sha256:69f39e4ab2fbb80b758990e2caeffb96121187eb856842a934ab167e4f02f375", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004311", "prompt": "Solve for x: 8x = -5(x + 7) - 160", "solution_steps": ["Expand: 8x = -5x - 35 - 160", "Combine constants: 8x = -5x - 195", "Add 5x to both sides: 13x = -195", "Divide both sides by 13: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -5(x + 7) - 160", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": 7, \"e\": -160, \"x\": -15}", "seed": "12355406803234158781", "semantic_fingerprint": "sha256:62af63460423c4f1f6935bd69997eedd7823d8eb3fc36bb1a793e5c01dddf93d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004312", "prompt": "Solve the equation -12(x - 3) + 528 = 12(x + 35) for x.", "solution_steps": ["Expand: -12x + 36 + 528 = 12(x + 35)", "Expand: -12x + 36 + 528 = 12x + 420", "Combine constants: -12x + 564 = 12x + 420", "Subtract 12x from both sides: -24x + 564 = 420", "Subtract 564 from both sides: -24x = -144", "Divide both sides by -24: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 3) + 528 = 12(x + 35)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 12, \"d\": 35, \"f\": 528, \"x\": 6}", "seed": "16652654732521746739", "semantic_fingerprint": "sha256:2517e4de5bd55341f03312d7683989bf9d4ad6a42451d910ef1aade00f22a7f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004313", "prompt": "Calculate: 425 + 89 + (340 + (66 + 6))", "solution_steps": ["Add: 425 + 89 = 514", "Add: 66 + 6 = 72", "Add: 340 + 72 = 412", "Add: 514 + 412 = 926"], "final_answer": "926", "answer_type": "integer", "kind": "expression", "math_text": "425 + 89 + (340 + (66 + 6))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 425, \"b\": 89, \"c\": 340, \"d\": 66, \"e\": 6}", "seed": "8284557175038770061", "semantic_fingerprint": "sha256:8b5e2dcc3bc5269f16098f8d8ac43775ea3ce1b86bdd319f54ec73d1df073662", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004314", "prompt": "Solve the equation 11x = 2(x + 3) + 84 for x.", "solution_steps": ["Expand: 11x = 2x + 6 + 84", "Combine constants: 11x = 2x + 90", "Subtract 2x from both sides: 9x = 90", "Divide both sides by 9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 2(x + 3) + 84", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 3, \"e\": 84, \"x\": 10}", "seed": "13191701591245944881", "semantic_fingerprint": "sha256:39093ae70f3b95606bdfd01ba16a0c9c5aa7877dfabe75e5781354c24b3954fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004315", "prompt": "What value of x satisfies 10(x + 5) = -8(x - 6) + 254?", "solution_steps": ["Expand: 10x + 50 = -8(x - 6) + 254", "Expand: 10x + 50 = -8x + 48 + 254", "Combine constants: 10x + 50 = -8x + 302", "Add 8x to both sides: 18x + 50 = 302", "Subtract 50 from both sides: 18x = 252", "Divide both sides by 18: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 5) = -8(x - 6) + 254", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": -8, \"d\": 6, \"f\": 254, \"x\": 14}", "seed": "11316157448549706698", "semantic_fingerprint": "sha256:b9f7a01ab943653c9388c9b7daa36bf7f3ba37cc2cca1e0f68500ffa16b83f27", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004316", "prompt": "Solve the equation 4(x + 4) + 32 = x + 42 for x.", "solution_steps": ["Expand: 4x + 16 + 32 = x + 42", "Combine constants: 4x + 48 = x + 42", "Subtract x from both sides: 3x + 48 = 42", "Subtract 48 from both sides: 3x = -6", "Divide both sides by 3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 4) + 32 = x + 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 32, \"e\": 42, \"x\": -2}", "seed": "14756792980508542146", "semantic_fingerprint": "sha256:bbfe89c95c7cf21819a35e5777ecc0bbe2d9d9ff2dde269c3edb7295f0a450d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004317", "prompt": "Solve for x: -11x - 84 = -6x - 38", "solution_steps": ["Add 6x to both sides: -5x - 84 = -38", "Add 84 to both sides: -5x = 46", "Divide both sides by -5: x = -46/5"], "final_answer": "-46/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 84 = -6x - 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 84, \"c\": -6, \"d\": 38}", "seed": "1133990634313089320", "semantic_fingerprint": "sha256:276bb6343ba987dc082c835ed0057473e7b9c04d1a3a9addc306a862f973220c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004318", "prompt": "Solve for x: 8x - 604 = 9(x - 69)", "solution_steps": ["Expand: 8x - 604 = 9x - 621", "Subtract 9x from both sides: -x - 604 = -621", "Add 604 to both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 604 = 9(x - 69)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 69, \"e\": -604, \"x\": 17}", "seed": "16321881532146688748", "semantic_fingerprint": "sha256:f1f97a824883e83adb3815dc9a2263006fa63a191206b1e23d803d981a375cd4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004319", "prompt": "What is -649 * 670 + 97 * 932?", "solution_steps": ["Multiply: -649 * 670 = -434830", "Multiply: 97 * 932 = 90404", "Add: -434830 + 90404 = -344426"], "final_answer": "-344426", "answer_type": "integer", "kind": "expression", "math_text": "-649 * 670 + 97 * 932", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -649, \"b\": 670, \"c\": 97, \"d\": 932}", "seed": "18217092654699236773", "semantic_fingerprint": "sha256:10141b4151e71498e14ec6ced9c567e0a8ebdf7bbd08bf95220aecfaacde3141", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004320", "prompt": "What is (-3 - (111 / 9 - 672)) * (63 - 9)?", "solution_steps": ["Divide: 111 / 9 = 37/3", "Subtract: 37/3 - 672 = -1979/3", "Subtract: -3 - (-1979/3) = 1970/3", "Subtract: 63 - 9 = 54", "Multiply: (1970/3) * 54 = 35460"], "final_answer": "35460", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (111 / 9 - 672)) * (63 - 9)", "variable": null, "family": "expression_5op", "shape": "(* (- n (- (/ n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 111, \"c\": 9, \"d\": 672, \"e\": 63, \"f\": 9}", "seed": "2677828700601893964", "semantic_fingerprint": "sha256:f3ce5ee4661df7e924d1df6c9c05d4db89369e948cad1f2e177efa4ce86b4acb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004321", "prompt": "Find x: 7x = -9(x + 16) - 65", "solution_steps": ["Expand: 7x = -9x - 144 - 65", "Combine constants: 7x = -9x - 209", "Add 9x to both sides: 16x = -209", "Divide both sides by 16: x = -209/16"], "final_answer": "-209/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -9(x + 16) - 65", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -9, \"c\": 16, \"d\": 65}", "seed": "3205384502279353175", "semantic_fingerprint": "sha256:fe76a99f5940e2adf31a499cf2f18c9b98abf289a1e0ef51a8f94f458e792169", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004322", "prompt": "Solve for x: -7(x + 12) - 326 = x + 83", "solution_steps": ["Expand: -7x - 84 - 326 = x + 83", "Combine constants: -7x - 410 = x + 83", "Subtract x from both sides: -8x - 410 = 83", "Add 410 to both sides: -8x = 493", "Divide both sides by -8: x = -493/8"], "final_answer": "-493/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 12) - 326 = x + 83", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 12, \"c\": 326, \"d\": 83}", "seed": "6707663717724201357", "semantic_fingerprint": "sha256:4185c82c1202f2cf10566b57641680d33da29ebd43c2996191bc216472d4afd1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004323", "prompt": "Solve for x: -5(x + 42) + 570 = x + 312", "solution_steps": ["Expand: -5x - 210 + 570 = x + 312", "Combine constants: -5x + 360 = x + 312", "Subtract x from both sides: -6x + 360 = 312", "Subtract 360 from both sides: -6x = -48", "Divide both sides by -6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 42) + 570 = x + 312", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 42, \"c\": 570, \"e\": 312, \"x\": 8}", "seed": "2486820955844650842", "semantic_fingerprint": "sha256:87bf2ed6e8e1f8a6e77d3c309a8f6506bfa3d4423bd9bc6a3c7a3c704f3df74a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004324", "prompt": "Find x: 3x - 158 = -11(x - 6)", "solution_steps": ["Expand: 3x - 158 = -11x + 66", "Add 11x to both sides: 14x - 158 = 66", "Add 158 to both sides: 14x = 224", "Divide both sides by 14: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 158 = -11(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -11, \"c\": 6, \"e\": -158, \"x\": 16}", "seed": "5749110620908786145", "semantic_fingerprint": "sha256:afccff5639720213cbd02a0a53390fc6ee22bbda85ef13bfcb09a056562f5249", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004325", "prompt": "Evaluate: 7 - 99 * (-918 / 959)", "solution_steps": ["Divide: -918 / 959 = -918/959", "Multiply: 99 * (-918/959) = -90882/959", "Subtract: 7 - (-90882/959) = 97595/959"], "final_answer": "97595/959", "answer_type": "rational", "kind": "expression", "math_text": "7 - 99 * (-918 / 959)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 99, \"c\": -918, \"d\": 959}", "seed": "13035953050641507127", "semantic_fingerprint": "sha256:37a52ab4ce8ebf177d4579f98f34a0189f7a7f9f988330e6920fd23e1fd3183a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004326", "prompt": "Compute: (95 - 119) * (965 - (-2)) - (2 + (-5))", "solution_steps": ["Subtract: 95 - 119 = -24", "Subtract: 965 - (-2) = 967", "Multiply: -24 * 967 = -23208", "Add: 2 + (-5) = -3", "Subtract: -23208 - (-3) = -23205"], "final_answer": "-23205", "answer_type": "integer", "kind": "expression", "math_text": "(95 - 119) * (965 - (-2)) - (2 + (-5))", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 119, \"c\": 965, \"d\": -2, \"e\": 2, \"f\": -5}", "seed": "12097964302396902538", "semantic_fingerprint": "sha256:78cbc244657c64847fb02dc7d04ec45f888c702572611f5984c86bce5de381d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004327", "prompt": "Evaluate: 0 - (-60) * (-66 / 2)", "solution_steps": ["Divide: -66 / 2 = -33", "Multiply: -60 * (-33) = 1980", "Subtract: 0 - 1980 = -1980"], "final_answer": "-1980", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-60) * (-66 / 2)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -60, \"c\": -66, \"d\": 2}", "seed": "9612284085632936673", "semantic_fingerprint": "sha256:1c892193feaab24ccc4ec0f26d2045c215bfb749e74fe6f239d2e340cb2ffac2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004328", "prompt": "What value of x satisfies 10(x + 51) - 48 = x + 624?", "solution_steps": ["Expand: 10x + 510 - 48 = x + 624", "Combine constants: 10x + 462 = x + 624", "Subtract x from both sides: 9x + 462 = 624", "Subtract 462 from both sides: 9x = 162", "Divide both sides by 9: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 51) - 48 = x + 624", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 51, \"c\": 48, \"e\": 624, \"x\": 18}", "seed": "5339772535351906773", "semantic_fingerprint": "sha256:871c1dadcc2ee67334d24687c452f27c59215a08458b09f8ae0037d6a195a41e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004329", "prompt": "Solve for x: 5x = 10(x + 2) - 105", "solution_steps": ["Expand: 5x = 10x + 20 - 105", "Combine constants: 5x = 10x - 85", "Subtract 10x from both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 10(x + 2) - 105", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"c\": 2, \"e\": -105, \"x\": 17}", "seed": "11591159245305227678", "semantic_fingerprint": "sha256:341c43f6a06921edff7a73c44ae9d426391451cbe6af59240e2ddff38a6710ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004330", "prompt": "Compute: -719 * 238 * (8 / (2 - 88))", "solution_steps": ["Multiply: -719 * 238 = -171122", "Subtract: 2 - 88 = -86", "Divide: 8 / (-86) = -4/43", "Multiply: -171122 * (-4/43) = 684488/43"], "final_answer": "684488/43", "answer_type": "rational", "kind": "expression", "math_text": "-719 * 238 * (8 / (2 - 88))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -719, \"b\": 238, \"c\": 8, \"d\": 2, \"e\": 88}", "seed": "15012366037323647519", "semantic_fingerprint": "sha256:4294c3cc7bf5c59cce97f0027d09f6e62baaa386451bded8a1e283c37bd49dbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004331", "prompt": "Calculate: 0 * (-4) - (22 / 61 - 600)", "solution_steps": ["Multiply: 0 * (-4) = 0", "Divide: 22 / 61 = 22/61", "Subtract: 22/61 - 600 = -36578/61", "Subtract: 0 - (-36578/61) = 36578/61"], "final_answer": "36578/61", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-4) - (22 / 61 - 600)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": 22, \"d\": 61, \"e\": 600}", "seed": "10308447388502409393", "semantic_fingerprint": "sha256:90e3b0f1975c226f0f53b4b4c10b7c18ca127fb8c1b29996b24cb106d755e198", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004332", "prompt": "What value of x satisfies 11x - 201 = -3(x - 3)?", "solution_steps": ["Expand: 11x - 201 = -3x + 9", "Add 3x to both sides: 14x - 201 = 9", "Add 201 to both sides: 14x = 210", "Divide both sides by 14: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 201 = -3(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -3, \"c\": 3, \"e\": -201, \"x\": 15}", "seed": "7512993369975020956", "semantic_fingerprint": "sha256:a7c87dc7eed2884690f4557b8a9e9aadb7a47287467f859bf63eb85d38a16c52", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004333", "prompt": "Calculate: (-2 + 1) / 16 + (-29)", "solution_steps": ["Add: -2 + 1 = -1", "Divide: -1 / 16 = -1/16", "Add: -1/16 + (-29) = -465/16"], "final_answer": "-465/16", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + 1) / 16 + (-29)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"c\": 16, \"d\": -29}", "seed": "15287621535282109269", "semantic_fingerprint": "sha256:d4de3ce78f73aca09ea28606fc6f6f615eadf847fef7216ef7c717a958bfe2ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004334", "prompt": "Compute: -872 - (-51 + (-5) / (59 + 3)) / 4", "solution_steps": ["Add: 59 + 3 = 62", "Divide: -5 / 62 = -5/62", "Add: -51 + (-5/62) = -3167/62", "Divide: (-3167/62) / 4 = -3167/248", "Subtract: -872 - (-3167/248) = -213089/248"], "final_answer": "-213089/248", "answer_type": "rational", "kind": "expression", "math_text": "-872 - (-51 + (-5) / (59 + 3)) / 4", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n (/ n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -872, \"b\": -51, \"c\": -5, \"d\": 59, \"e\": 3, \"f\": 4}", "seed": "18346769605241054362", "semantic_fingerprint": "sha256:aacdfba6240a8afdf8e3067a79af4bd728ab8084f0b5e019d88a90938a7cf215", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004335", "prompt": "Evaluate: 88 * (-92) * (62 / (-9))", "solution_steps": ["Multiply: 88 * (-92) = -8096", "Divide: 62 / (-9) = -62/9", "Multiply: -8096 * (-62/9) = 501952/9"], "final_answer": "501952/9", "answer_type": "rational", "kind": "expression", "math_text": "88 * (-92) * (62 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -92, \"c\": 62, \"d\": -9}", "seed": "1083647163069468133", "semantic_fingerprint": "sha256:214f339aba4237f1d3ff4aff6a051875071466205bcaf0772c7630f196e571be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004336", "prompt": "Compute: (4 + (-48)) / (5 + 9)", "solution_steps": ["Add: 4 + (-48) = -44", "Add: 5 + 9 = 14", "Divide: -44 / 14 = -22/7"], "final_answer": "-22/7", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-48)) / (5 + 9)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -48, \"c\": 5, \"d\": 9}", "seed": "12118364054253715767", "semantic_fingerprint": "sha256:030b2a1793df1f58ed7307144a1717d110f00ad7c0d0190fc7d05e34adc6d359", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004337", "prompt": "Solve for x: -8(x + 1) - 5 = x + 32", "solution_steps": ["Expand: -8x - 8 - 5 = x + 32", "Combine constants: -8x - 13 = x + 32", "Subtract x from both sides: -9x - 13 = 32", "Add 13 to both sides: -9x = 45", "Divide both sides by -9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 1) - 5 = x + 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": 5, \"e\": 32, \"x\": -5}", "seed": "14526207342327066078", "semantic_fingerprint": "sha256:c06f660e5333d93a504e922d3f9e648b8eda153064fab56e1986e71984419244", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004338", "prompt": "Solve for x: 12(x - 2) + 500 = 11(x + 102)", "solution_steps": ["Expand: 12x - 24 + 500 = 11(x + 102)", "Expand: 12x - 24 + 500 = 11x + 1122", "Combine constants: 12x + 476 = 11x + 1122", "Subtract 11x from both sides: x + 476 = 1122", "Subtract 476 from both sides: x = 646"], "final_answer": "646", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) + 500 = 11(x + 102)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 500, \"d\": 11, \"e\": 102}", "seed": "3885545673114676269", "semantic_fingerprint": "sha256:35f6d9c788141cc2f4a8b5d6a85b36cc4ecc6f76c930b405f12d1dc29ae0d251", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004339", "prompt": "Compute: -2 / (-81) / (37 / (-3 + 5))", "solution_steps": ["Divide: -2 / (-81) = 2/81", "Add: -3 + 5 = 2", "Divide: 37 / 2 = 37/2", "Divide: (2/81) / (37/2) = 4/2997"], "final_answer": "4/2997", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-81) / (37 / (-3 + 5))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -81, \"c\": 37, \"d\": -3, \"e\": 5}", "seed": "16378932862326898191", "semantic_fingerprint": "sha256:e55f078955313e7c592df45f3b94374b8dabd6e6c307b2df056316ff90b19f84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004340", "prompt": "Calculate: (-6 + (-69)) / 158 * (-713 / (32 + 108))", "solution_steps": ["Add: -6 + (-69) = -75", "Divide: -75 / 158 = -75/158", "Add: 32 + 108 = 140", "Divide: -713 / 140 = -713/140", "Multiply: (-75/158) * (-713/140) = 10695/4424"], "final_answer": "10695/4424", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-69)) / 158 * (-713 / (32 + 108))", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -69, \"c\": 158, \"d\": -713, \"e\": 32, \"f\": 108}", "seed": "2407187787268106611", "semantic_fingerprint": "sha256:14ded871704dffd7ab1e4f44e310b89f37abf1c5c082734c1fb5c27658cd69b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004341", "prompt": "Compute: -96 + (-8) + (-41) * (-5 + 31)", "solution_steps": ["Add: -96 + (-8) = -104", "Add: -5 + 31 = 26", "Multiply: -41 * 26 = -1066", "Add: -104 + (-1066) = -1170"], "final_answer": "-1170", "answer_type": "integer", "kind": "expression", "math_text": "-96 + (-8) + (-41) * (-5 + 31)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -8, \"c\": -41, \"d\": -5, \"e\": 31}", "seed": "7772305754801163350", "semantic_fingerprint": "sha256:122c275444a9050fbfdb9ed23e7052fe5d5c8abcf1517d7f9fee82af0eed76fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004342", "prompt": "Solve for x: -7x - 7 = 8(x - 6)", "solution_steps": ["Expand: -7x - 7 = 8x - 48", "Subtract 8x from both sides: -15x - 7 = -48", "Add 7 to both sides: -15x = -41", "Divide both sides by -15: x = 41/15"], "final_answer": "41/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x - 7 = 8(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 8, \"d\": 6}", "seed": "17445328022995498993", "semantic_fingerprint": "sha256:67d4f344d2951bf8714c4ae0b17a7faa8e25c94e069c895931593f9acf3091e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004343", "prompt": "Calculate: -689 * 0 + 5 * 31 + 24", "solution_steps": ["Multiply: -689 * 0 = 0", "Multiply: 5 * 31 = 155", "Add: 0 + 155 = 155", "Add: 155 + 24 = 179"], "final_answer": "179", "answer_type": "integer", "kind": "expression", "math_text": "-689 * 0 + 5 * 31 + 24", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -689, \"b\": 0, \"c\": 5, \"d\": 31, \"e\": 24}", "seed": "14196659457282094358", "semantic_fingerprint": "sha256:0a6bc644032f2b9867b8faadfa477800431c7976b1df940ffa61ab066d86f891", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004344", "prompt": "Calculate: -114 - (-25 + (-49)) / (-75)", "solution_steps": ["Add: -25 + (-49) = -74", "Divide: -74 / (-75) = 74/75", "Subtract: -114 - 74/75 = -8624/75"], "final_answer": "-8624/75", "answer_type": "rational", "kind": "expression", "math_text": "-114 - (-25 + (-49)) / (-75)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -114, \"b\": -25, \"c\": -49, \"d\": -75}", "seed": "15113529202410752077", "semantic_fingerprint": "sha256:7b162b838ca7cd5be471b7e1c5b62b216a05577b356e49ce422e33fffd62eeb8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004345", "prompt": "Compute: (-582 + 66) / (990 + (-649))", "solution_steps": ["Add: -582 + 66 = -516", "Add: 990 + (-649) = 341", "Divide: -516 / 341 = -516/341"], "final_answer": "-516/341", "answer_type": "rational", "kind": "expression", "math_text": "(-582 + 66) / (990 + (-649))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -582, \"b\": 66, \"c\": 990, \"d\": -649}", "seed": "17254504930345278905", "semantic_fingerprint": "sha256:318ad53966d1f900bd99fdec836bd72d3aa47d7b16b0970f0904ad78dbf45786", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004346", "prompt": "Compute: (6 - (5 + (-21 - (-59) + 519))) / (-59)", "solution_steps": ["Subtract: -21 - (-59) = 38", "Add: 38 + 519 = 557", "Add: 5 + 557 = 562", "Subtract: 6 - 562 = -556", "Divide: -556 / (-59) = 556/59"], "final_answer": "556/59", "answer_type": "rational", "kind": "expression", "math_text": "(6 - (5 + (-21 - (-59) + 519))) / (-59)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n (+ (- n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": -21, \"d\": -59, \"e\": 519, \"f\": -59}", "seed": "4686014230769029236", "semantic_fingerprint": "sha256:f12af325488968001b9dc0b1a21739bc874035ea5db06de2ec520eacb778c3a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004347", "prompt": "Evaluate: -34 * (-17) * (-26 / 155)", "solution_steps": ["Multiply: -34 * (-17) = 578", "Divide: -26 / 155 = -26/155", "Multiply: 578 * (-26/155) = -15028/155"], "final_answer": "-15028/155", "answer_type": "rational", "kind": "expression", "math_text": "-34 * (-17) * (-26 / 155)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -17, \"c\": -26, \"d\": 155}", "seed": "3519943128606640981", "semantic_fingerprint": "sha256:037353858eae69f953fdd2779c877bf3ba8d5cf11a880a7994a57267c80bc050", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004348", "prompt": "Solve the equation -9(x + 9) - 510 = x + 54 for x.", "solution_steps": ["Expand: -9x - 81 - 510 = x + 54", "Combine constants: -9x - 591 = x + 54", "Subtract x from both sides: -10x - 591 = 54", "Add 591 to both sides: -10x = 645", "Divide both sides by -10: x = -129/2"], "final_answer": "-129/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 9) - 510 = x + 54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 510, \"d\": 54}", "seed": "16489321123605667409", "semantic_fingerprint": "sha256:7cacc06b8c5459d752fc6219b2c7f8893c7bd7001614daaceeddee31afaacf2a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004349", "prompt": "What is 490 * (-6) + 3 * (-435)?", "solution_steps": ["Multiply: 490 * (-6) = -2940", "Multiply: 3 * (-435) = -1305", "Add: -2940 + (-1305) = -4245"], "final_answer": "-4245", "answer_type": "integer", "kind": "expression", "math_text": "490 * (-6) + 3 * (-435)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 490, \"b\": -6, \"c\": 3, \"d\": -435}", "seed": "8895898263960362703", "semantic_fingerprint": "sha256:518ce535e995bde4599ceed87d4bdac82dd09a26ce9b7712ec8d57f7fa020706", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004350", "prompt": "Calculate: -23 * (-6 + 0) + (33 - (-21) + 5)", "solution_steps": ["Add: -6 + 0 = -6", "Multiply: -23 * (-6) = 138", "Subtract: 33 - (-21) = 54", "Add: 54 + 5 = 59", "Add: 138 + 59 = 197"], "final_answer": "197", "answer_type": "integer", "kind": "expression", "math_text": "-23 * (-6 + 0) + (33 - (-21) + 5)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -6, \"c\": 0, \"d\": 33, \"e\": -21, \"f\": 5}", "seed": "9900779269275424136", "semantic_fingerprint": "sha256:4041d63c25ba86c9fcb17823b0d125b2c5c775a9d2d9acc20cd61a9cc63f09da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004351", "prompt": "Calculate: -5 / (-6) / (-50) - (-1)", "solution_steps": ["Divide: -5 / (-6) = 5/6", "Divide: (5/6) / (-50) = -1/60", "Subtract: -1/60 - (-1) = 59/60"], "final_answer": "59/60", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-6) / (-50) - (-1)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -6, \"c\": -50, \"d\": -1}", "seed": "5290917844146462692", "semantic_fingerprint": "sha256:4a750d8306b535f58af65ddbcc80cd1fb28c885200c38c993f90ae0297b042cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004352", "prompt": "Solve for x: 7(x - 68) + 41 = 6(x + 7)", "solution_steps": ["Expand: 7x - 476 + 41 = 6(x + 7)", "Expand: 7x - 476 + 41 = 6x + 42", "Combine constants: 7x - 435 = 6x + 42", "Subtract 6x from both sides: x - 435 = 42", "Add 435 to both sides: x = 477"], "final_answer": "477", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 68) + 41 = 6(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 68, \"c\": 41, \"d\": 6, \"e\": 7}", "seed": "4966370698406267147", "semantic_fingerprint": "sha256:f6a9a47a3a739eac91f07db43fa255dafa33de7e244d62fbcf92e982b0d2779c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004353", "prompt": "Calculate: -80 + (45 - (-8)) + 92", "solution_steps": ["Subtract: 45 - (-8) = 53", "Add: -80 + 53 = -27", "Add: -27 + 92 = 65"], "final_answer": "65", "answer_type": "integer", "kind": "expression", "math_text": "-80 + (45 - (-8)) + 92", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 45, \"c\": -8, \"d\": 92}", "seed": "11066984125868261174", "semantic_fingerprint": "sha256:197dd9443810d621b02c60f9842ecef752e0e1346aba5e9f2fe417c866a4c621", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004354", "prompt": "Evaluate: 66 / (-76 + (-38) / (34 - 78))", "solution_steps": ["Subtract: 34 - 78 = -44", "Divide: -38 / (-44) = 19/22", "Add: -76 + 19/22 = -1653/22", "Divide: 66 / (-1653/22) = -484/551"], "final_answer": "-484/551", "answer_type": "rational", "kind": "expression", "math_text": "66 / (-76 + (-38) / (34 - 78))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -76, \"c\": -38, \"d\": 34, \"e\": 78}", "seed": "18229245489591376534", "semantic_fingerprint": "sha256:4eda576587df1819a0d85cbc9391e94acf735669dab0344f9f225a27a13ea795", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004355", "prompt": "Evaluate: -7 + (4 + (818 * 10 - (-8))) + 36", "solution_steps": ["Multiply: 818 * 10 = 8180", "Subtract: 8180 - (-8) = 8188", "Add: 4 + 8188 = 8192", "Add: -7 + 8192 = 8185", "Add: 8185 + 36 = 8221"], "final_answer": "8221", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (4 + (818 * 10 - (-8))) + 36", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n (- (* n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 818, \"d\": 10, \"e\": -8, \"f\": 36}", "seed": "9868076361941136216", "semantic_fingerprint": "sha256:081269fc179a3f9fb530e103ab208018e38a3b18476d7c93e4d8bdd1c780433b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004356", "prompt": "Compute: (-65 - (19 + 26)) / (-9 + 7 + 616)", "solution_steps": ["Add: 19 + 26 = 45", "Subtract: -65 - 45 = -110", "Add: -9 + 7 = -2", "Add: -2 + 616 = 614", "Divide: -110 / 614 = -55/307"], "final_answer": "-55/307", "answer_type": "rational", "kind": "expression", "math_text": "(-65 - (19 + 26)) / (-9 + 7 + 616)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 19, \"c\": 26, \"d\": -9, \"e\": 7, \"f\": 616}", "seed": "1787566680571338756", "semantic_fingerprint": "sha256:9aa107a62c2633e81437c2d0333255ea4fc3abe4ef28a6bd0a68af9806cbc4bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004357", "prompt": "What value of x satisfies 3(x - 7) + 111 = 2(x + 30)?", "solution_steps": ["Expand: 3x - 21 + 111 = 2(x + 30)", "Expand: 3x - 21 + 111 = 2x + 60", "Combine constants: 3x + 90 = 2x + 60", "Subtract 2x from both sides: x + 90 = 60", "Subtract 90 from both sides: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) + 111 = 2(x + 30)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 111, \"d\": 2, \"e\": 30}", "seed": "8084849019870632527", "semantic_fingerprint": "sha256:b74f2260c2a6ec03fe826a2ddc68652267fe38a796e1beeabcb062333951076b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004358", "prompt": "What is (-9 - 78) / 532 * (0 / 32)?", "solution_steps": ["Subtract: -9 - 78 = -87", "Divide: -87 / 532 = -87/532", "Divide: 0 / 32 = 0", "Multiply: (-87/532) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 78) / 532 * (0 / 32)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 78, \"c\": 532, \"d\": 0, \"e\": 32}", "seed": "1322744292486441858", "semantic_fingerprint": "sha256:5357fd24ce11c13e768468c3272760f79956efa742e3890808b77bb160e103d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004359", "prompt": "Calculate: -3 / 397 - (-3) * (-33 + (-59))", "solution_steps": ["Divide: -3 / 397 = -3/397", "Add: -33 + (-59) = -92", "Multiply: -3 * (-92) = 276", "Subtract: -3/397 - 276 = -109575/397"], "final_answer": "-109575/397", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 397 - (-3) * (-33 + (-59))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 397, \"c\": -3, \"d\": -33, \"e\": -59}", "seed": "16819724383023177765", "semantic_fingerprint": "sha256:df99f1004e23c4ff1df5c6d613fd698ca0294f271ceb96522f5361f890717931", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004360", "prompt": "What is -4 / (29 + (-1)) * (97 * 6)?", "solution_steps": ["Add: 29 + (-1) = 28", "Divide: -4 / 28 = -1/7", "Multiply: 97 * 6 = 582", "Multiply: (-1/7) * 582 = -582/7"], "final_answer": "-582/7", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (29 + (-1)) * (97 * 6)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 29, \"c\": -1, \"d\": 97, \"e\": 6}", "seed": "4528989919143698135", "semantic_fingerprint": "sha256:cf69ec8e247fcc7961894dacfbcb44ca476486242b810ccbe9a7ef69d144fa2f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004361", "prompt": "Solve for x: 2(x + 2) + 8 = x + 15", "solution_steps": ["Expand: 2x + 4 + 8 = x + 15", "Combine constants: 2x + 12 = x + 15", "Subtract x from both sides: x + 12 = 15", "Subtract 12 from both sides: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) + 8 = x + 15", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 8, \"e\": 15, \"x\": 3}", "seed": "7476929215163151723", "semantic_fingerprint": "sha256:083b4c542b00f296f82300878947a091ed41257d77a291c902775af5be7b6f4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004362", "prompt": "Calculate: (8 - 4) * (-398 - (61 + 3))", "solution_steps": ["Subtract: 8 - 4 = 4", "Add: 61 + 3 = 64", "Subtract: -398 - 64 = -462", "Multiply: 4 * (-462) = -1848"], "final_answer": "-1848", "answer_type": "integer", "kind": "expression", "math_text": "(8 - 4) * (-398 - (61 + 3))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": -398, \"d\": 61, \"e\": 3}", "seed": "59657639355485599", "semantic_fingerprint": "sha256:e93c225094ca3e965a4c675ded27feaead64d74ed6bcdd2d27f310cfbdfc9180", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004363", "prompt": "Solve for x: 5(x + 77) = 8(x - 1) + 333", "solution_steps": ["Expand: 5x + 385 = 8(x - 1) + 333", "Expand: 5x + 385 = 8x - 8 + 333", "Combine constants: 5x + 385 = 8x + 325", "Subtract 8x from both sides: -3x + 385 = 325", "Subtract 385 from both sides: -3x = -60", "Divide both sides by -3: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 77) = 8(x - 1) + 333", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 77, \"c\": 8, \"d\": 1, \"f\": 333, \"x\": 20}", "seed": "12533229643017213432", "semantic_fingerprint": "sha256:4d4192be92e6e4b277190785f1f324b917f9601b12b97408f5619f24e46038b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004364", "prompt": "What is 821 * 95 * 1 * (-4 - (-3))?", "solution_steps": ["Multiply: 821 * 95 = 77995", "Multiply: 77995 * 1 = 77995", "Subtract: -4 - (-3) = -1", "Multiply: 77995 * (-1) = -77995"], "final_answer": "-77995", "answer_type": "integer", "kind": "expression", "math_text": "821 * 95 * 1 * (-4 - (-3))", "variable": null, "family": "expression_4op", "shape": "(* (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 821, \"b\": 95, \"c\": 1, \"d\": -4, \"e\": -3}", "seed": "10066658383146670433", "semantic_fingerprint": "sha256:79221ea117556df9433f3855f1b769d54b1b9b59610f5918d56165b609d87950", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004365", "prompt": "What value of x satisfies 2(x - 8) + 73 = 3(x + 72)?", "solution_steps": ["Expand: 2x - 16 + 73 = 3(x + 72)", "Expand: 2x - 16 + 73 = 3x + 216", "Combine constants: 2x + 57 = 3x + 216", "Subtract 3x from both sides: -x + 57 = 216", "Subtract 57 from both sides: -x = 159", "Divide both sides by -1: x = -159"], "final_answer": "-159", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) + 73 = 3(x + 72)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 73, \"d\": 3, \"e\": 72}", "seed": "395800558015300372", "semantic_fingerprint": "sha256:91e6742f815666de59bdac5a2f09160f31cd1d12a22dbaa6f8cd194ef14d974d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004366", "prompt": "Solve for x: 8(x + 1) + 2 = x + 17", "solution_steps": ["Expand: 8x + 8 + 2 = x + 17", "Combine constants: 8x + 10 = x + 17", "Subtract x from both sides: 7x + 10 = 17", "Subtract 10 from both sides: 7x = 7", "Divide both sides by 7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 1) + 2 = x + 17", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 2, \"e\": 17, \"x\": 1}", "seed": "1170217007351671706", "semantic_fingerprint": "sha256:84b038bb9391045be3e8b7b9333ae19c9348afc5cfc1de7020f48c83c4b4b93a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004367", "prompt": "What value of x satisfies 4x - 97 = -9(x - 10)?", "solution_steps": ["Expand: 4x - 97 = -9x + 90", "Add 9x to both sides: 13x - 97 = 90", "Add 97 to both sides: 13x = 187", "Divide both sides by 13: x = 187/13"], "final_answer": "187/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 97 = -9(x - 10)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 97, \"c\": -9, \"d\": 10}", "seed": "124098764427129217", "semantic_fingerprint": "sha256:09730fb1606d5ad16fe2b7aaa0c59cc4c52a552434bf461b82745b7de44b8dae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004368", "prompt": "Compute: 76 - (36 + (333 + (-9) * (-6)))", "solution_steps": ["Multiply: -9 * (-6) = 54", "Add: 333 + 54 = 387", "Add: 36 + 387 = 423", "Subtract: 76 - 423 = -347"], "final_answer": "-347", "answer_type": "integer", "kind": "expression", "math_text": "76 - (36 + (333 + (-9) * (-6)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 36, \"c\": 333, \"d\": -9, \"e\": -6}", "seed": "5476731385688809097", "semantic_fingerprint": "sha256:a665d616b574609f9def3eba758e8fa266a4ce998e001c1109dc05d9f7a2b176", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004369", "prompt": "What value of x satisfies 2x - 260 = 7(x - 45)?", "solution_steps": ["Expand: 2x - 260 = 7x - 315", "Subtract 7x from both sides: -5x - 260 = -315", "Add 260 to both sides: -5x = -55", "Divide both sides by -5: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 260 = 7(x - 45)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 45, \"e\": -260, \"x\": 11}", "seed": "10655364274539666415", "semantic_fingerprint": "sha256:cd57ba46fd274bec1890f618fbdae6df8708493280b791df6b15c4bace668ab4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004370", "prompt": "Solve for x: 4x - 6 = 11x - 20", "solution_steps": ["Subtract 11x from both sides: -7x - 6 = -20", "Add 6 to both sides: -7x = -14", "Divide both sides by -7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 6 = 11x - 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 11, \"e\": -20, \"x\": 2}", "seed": "3790251436606980974", "semantic_fingerprint": "sha256:f2a148b8a512b30f095f776751a6934ed71af445564f1717afd45451d1ea09c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004371", "prompt": "Solve the equation 6(x + 66) + 81 = x + 572 for x.", "solution_steps": ["Expand: 6x + 396 + 81 = x + 572", "Combine constants: 6x + 477 = x + 572", "Subtract x from both sides: 5x + 477 = 572", "Subtract 477 from both sides: 5x = 95", "Divide both sides by 5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 66) + 81 = x + 572", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 66, \"c\": 81, \"e\": 572, \"x\": 19}", "seed": "3975614137573705000", "semantic_fingerprint": "sha256:ab0eb488d07f58d174834dbba57cdf55b7aafca0ea0a171ce39df69380bd3a05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004372", "prompt": "Solve the equation 9x - 822 = 11x - 782 for x.", "solution_steps": ["Subtract 11x from both sides: -2x - 822 = -782", "Add 822 to both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 822 = 11x - 782", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 822, \"c\": 11, \"e\": -782, \"x\": -20}", "seed": "17075259720421683270", "semantic_fingerprint": "sha256:e14f24b5ee363b2f22b7dec4df493bfac56721ed6b368eba2d54fd096f009d40", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004373", "prompt": "Calculate: (2 - 1) * 205 / (-10 - 581)", "solution_steps": ["Subtract: 2 - 1 = 1", "Multiply: 1 * 205 = 205", "Subtract: -10 - 581 = -591", "Divide: 205 / (-591) = -205/591"], "final_answer": "-205/591", "answer_type": "rational", "kind": "expression", "math_text": "(2 - 1) * 205 / (-10 - 581)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 205, \"d\": -10, \"e\": 581}", "seed": "14089156689423631739", "semantic_fingerprint": "sha256:c932e37b0cddffa4192d0598c1d14484ef1a27ac45f2d78f383aceca751eeeed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004374", "prompt": "Solve the equation 5x - 74 = 4x - 55 for x.", "solution_steps": ["Subtract 4x from both sides: x - 74 = -55", "Add 74 to both sides: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 74 = 4x - 55", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 74, \"c\": 4, \"e\": -55, \"x\": 19}", "seed": "8063401496859854914", "semantic_fingerprint": "sha256:e7240bb1582367736d95034f1fb0bc9fa4c9e4f691c1af5f6bbca6517c664f4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004375", "prompt": "Solve the equation -9x - 889 = 3x - 961 for x.", "solution_steps": ["Subtract 3x from both sides: -12x - 889 = -961", "Add 889 to both sides: -12x = -72", "Divide both sides by -12: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 889 = 3x - 961", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 889, \"c\": 3, \"e\": -961, \"x\": 6}", "seed": "4768997003115210062", "semantic_fingerprint": "sha256:ca8e97f559f3a68383b5a3ba486982e0f25515dbad810f7574642ad859fe3af3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004376", "prompt": "Evaluate: (36 - 22 * (-69)) / (-4)", "solution_steps": ["Multiply: 22 * (-69) = -1518", "Subtract: 36 - (-1518) = 1554", "Divide: 1554 / (-4) = -777/2"], "final_answer": "-777/2", "answer_type": "rational", "kind": "expression", "math_text": "(36 - 22 * (-69)) / (-4)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 22, \"c\": -69, \"d\": -4}", "seed": "6149250466457213938", "semantic_fingerprint": "sha256:f32b1a30055638b2a42338cd69685b5f402f163b7308f170c68fc05d2e058e09", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004377", "prompt": "Compute: 253 / (-576) + (-45 - (-6 - (-870)))", "solution_steps": ["Divide: 253 / (-576) = -253/576", "Subtract: -6 - (-870) = 864", "Subtract: -45 - 864 = -909", "Add: -253/576 + (-909) = -523837/576"], "final_answer": "-523837/576", "answer_type": "rational", "kind": "expression", "math_text": "253 / (-576) + (-45 - (-6 - (-870)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 253, \"b\": -576, \"c\": -45, \"d\": -6, \"e\": -870}", "seed": "1578435101554904051", "semantic_fingerprint": "sha256:752185d4944b6eb0a6693089f94b5512421f30ffaa8b2489c9cf4e66a15d5065", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004378", "prompt": "What value of x satisfies -2x - 11 = 8x - 31?", "solution_steps": ["Subtract 8x from both sides: -10x - 11 = -31", "Add 11 to both sides: -10x = -20", "Divide both sides by -10: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 11 = 8x - 31", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 11, \"c\": 8, \"e\": -31, \"x\": 2}", "seed": "10731537206998272553", "semantic_fingerprint": "sha256:73f0fddaf0ecdbcf5cd6a471d8545b2ba7f0506515ddf8fcb9170ccd6652028e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004379", "prompt": "Evaluate: -97 + (-9 - (-3 * 567 - (-68)) + 8)", "solution_steps": ["Multiply: -3 * 567 = -1701", "Subtract: -1701 - (-68) = -1633", "Subtract: -9 - (-1633) = 1624", "Add: 1624 + 8 = 1632", "Add: -97 + 1632 = 1535"], "final_answer": "1535", "answer_type": "integer", "kind": "expression", "math_text": "-97 + (-9 - (-3 * 567 - (-68)) + 8)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- n (- (* n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -9, \"c\": -3, \"d\": 567, \"e\": -68, \"f\": 8}", "seed": "15370679646584524333", "semantic_fingerprint": "sha256:a5f53bba82dc6b3b146b6e0761cc7cb1344a2505c1962e7d56cbc4433f46ee2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004380", "prompt": "Find x: 9x - 902 = 12x - 887", "solution_steps": ["Subtract 12x from both sides: -3x - 902 = -887", "Add 902 to both sides: -3x = 15", "Divide both sides by -3: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 902 = 12x - 887", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 902, \"c\": 12, \"e\": -887, \"x\": -5}", "seed": "5437942068275388120", "semantic_fingerprint": "sha256:d46fb071713ebffd419fb30da522c8f2a6d2670f3b1da56e6a3a19aa9cb55d4b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004381", "prompt": "Evaluate: -9 / (-6) - 5 * 1 / 2", "solution_steps": ["Divide: -9 / (-6) = 3/2", "Multiply: 5 * 1 = 5", "Divide: 5 / 2 = 5/2", "Subtract: 3/2 - 5/2 = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "-9 / (-6) - 5 * 1 / 2", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6, \"c\": 5, \"d\": 1, \"e\": 2}", "seed": "6217679480472393125", "semantic_fingerprint": "sha256:46ac8cb2eec0a72ed135786e1dba14defd2184bdc3120a723198fc9c4b39d167", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004382", "prompt": "Calculate: 4 / 92 + (891 + (-87 + 708)) + 3", "solution_steps": ["Divide: 4 / 92 = 1/23", "Add: -87 + 708 = 621", "Add: 891 + 621 = 1512", "Add: 1/23 + 1512 = 34777/23", "Add: 34777/23 + 3 = 34846/23"], "final_answer": "34846/23", "answer_type": "rational", "kind": "expression", "math_text": "4 / 92 + (891 + (-87 + 708)) + 3", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 92, \"c\": 891, \"d\": -87, \"e\": 708, \"f\": 3}", "seed": "6297075737292761235", "semantic_fingerprint": "sha256:450abbd8b276e4a1500c28100491e1eb2c4c017cf657084f294dcb9708012232", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004383", "prompt": "Calculate: 800 + (73 / 73 - (4 - 4))", "solution_steps": ["Divide: 73 / 73 = 1", "Subtract: 4 - 4 = 0", "Subtract: 1 - 0 = 1", "Add: 800 + 1 = 801"], "final_answer": "801", "answer_type": "integer", "kind": "expression", "math_text": "800 + (73 / 73 - (4 - 4))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 800, \"b\": 73, \"c\": 73, \"d\": 4, \"e\": 4}", "seed": "12443131729600947231", "semantic_fingerprint": "sha256:b3dc6dbd9a4ccf8a4d81e4de0fc31df76968932a87d1497d9706975865a47423", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004384", "prompt": "What is -4 * (-101 + 9 * (-5))?", "solution_steps": ["Multiply: 9 * (-5) = -45", "Add: -101 + (-45) = -146", "Multiply: -4 * (-146) = 584"], "final_answer": "584", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-101 + 9 * (-5))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -101, \"c\": 9, \"d\": -5}", "seed": "5763240215465114402", "semantic_fingerprint": "sha256:c0a67e5da13d96a560f909df995588712dbfd3802d87ca27e8abdc4a5a91980d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004385", "prompt": "Compute: (-81 * 53 - (-87) - (-794)) / 72", "solution_steps": ["Multiply: -81 * 53 = -4293", "Subtract: -4293 - (-87) = -4206", "Subtract: -4206 - (-794) = -3412", "Divide: -3412 / 72 = -853/18"], "final_answer": "-853/18", "answer_type": "rational", "kind": "expression", "math_text": "(-81 * 53 - (-87) - (-794)) / 72", "variable": null, "family": "expression_4op", "shape": "(/ (- (- (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 53, \"c\": -87, \"d\": -794, \"e\": 72}", "seed": "15152754137849120506", "semantic_fingerprint": "sha256:1c142baa0056821c386e3b2d9ee623aaf6322d613fdc7019e5fbe1e86c5b086b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004386", "prompt": "What value of x satisfies 3(x + 8) - 40 = x + 390?", "solution_steps": ["Expand: 3x + 24 - 40 = x + 390", "Combine constants: 3x - 16 = x + 390", "Subtract x from both sides: 2x - 16 = 390", "Add 16 to both sides: 2x = 406", "Divide both sides by 2: x = 203"], "final_answer": "203", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 8) - 40 = x + 390", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 40, \"d\": 390}", "seed": "777712247895157508", "semantic_fingerprint": "sha256:4da6e1fc1c25b7575c3c2a8916f6568a487f84604c54235024c2fa9996a9bf33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004387", "prompt": "Evaluate: -80 / (67 + (-291)) + 181 * (-37)", "solution_steps": ["Add: 67 + (-291) = -224", "Divide: -80 / (-224) = 5/14", "Multiply: 181 * (-37) = -6697", "Add: 5/14 + (-6697) = -93753/14"], "final_answer": "-93753/14", "answer_type": "rational", "kind": "expression", "math_text": "-80 / (67 + (-291)) + 181 * (-37)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 67, \"c\": -291, \"d\": 181, \"e\": -37}", "seed": "15524626230118184030", "semantic_fingerprint": "sha256:ccb619b20e8ef39b4c8a6d5e25ed673b9b056f480127d6c1e084a960a35a9d18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004388", "prompt": "Calculate: (35 + (-4)) / (-49 + (-72))", "solution_steps": ["Add: 35 + (-4) = 31", "Add: -49 + (-72) = -121", "Divide: 31 / (-121) = -31/121"], "final_answer": "-31/121", "answer_type": "rational", "kind": "expression", "math_text": "(35 + (-4)) / (-49 + (-72))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -4, \"c\": -49, \"d\": -72}", "seed": "4395230822105667052", "semantic_fingerprint": "sha256:4e4b6fcee2b2da7dbeaa2eff82d449a9c032a9befe09bd9dc0eab98c75b45d44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004389", "prompt": "Compute: 2 / (204 / 530) / (-8) + 9", "solution_steps": ["Divide: 204 / 530 = 102/265", "Divide: 2 / (102/265) = 265/51", "Divide: (265/51) / (-8) = -265/408", "Add: -265/408 + 9 = 3407/408"], "final_answer": "3407/408", "answer_type": "rational", "kind": "expression", "math_text": "2 / (204 / 530) / (-8) + 9", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 204, \"c\": 530, \"d\": -8, \"e\": 9}", "seed": "2021169124894266073", "semantic_fingerprint": "sha256:eab220e6b475352622b6bc3a37a32875a79382303899ca98f77e2f353ad1328e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004390", "prompt": "Compute: 1 + (-14 - (-5 + 55))", "solution_steps": ["Add: -5 + 55 = 50", "Subtract: -14 - 50 = -64", "Add: 1 + (-64) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-14 - (-5 + 55))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -14, \"c\": -5, \"d\": 55}", "seed": "11057585824136835806", "semantic_fingerprint": "sha256:05df7996413b42a4a171483796f75b0bb17cb800f0a4a66ffc08df061e7b51c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004391", "prompt": "What is -28 / ((-31 - 41) / 21 * (-375))?", "solution_steps": ["Subtract: -31 - 41 = -72", "Divide: -72 / 21 = -24/7", "Multiply: (-24/7) * (-375) = 9000/7", "Divide: -28 / (9000/7) = -49/2250"], "final_answer": "-49/2250", "answer_type": "rational", "kind": "expression", "math_text": "-28 / ((-31 - 41) / 21 * (-375))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -31, \"c\": 41, \"d\": 21, \"e\": -375}", "seed": "14383748809201046507", "semantic_fingerprint": "sha256:eef0c6f9fad15cbb22f5f2978f545515eb0b7a0a383b91aeb6db6b516b9939b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004392", "prompt": "What value of x satisfies 3(x + 235) + 9 = x + 744?", "solution_steps": ["Expand: 3x + 705 + 9 = x + 744", "Combine constants: 3x + 714 = x + 744", "Subtract x from both sides: 2x + 714 = 744", "Subtract 714 from both sides: 2x = 30", "Divide both sides by 2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 235) + 9 = x + 744", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 235, \"c\": 9, \"e\": 744, \"x\": 15}", "seed": "4722935114189728153", "semantic_fingerprint": "sha256:6111225e269d809646c5171e725faf240f86d9c9ebe83587d87f12313781303b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004393", "prompt": "Solve for x: 4(x - 9) - 6 = x + 12", "solution_steps": ["Expand: 4x - 36 - 6 = x + 12", "Combine constants: 4x - 42 = x + 12", "Subtract x from both sides: 3x - 42 = 12", "Add 42 to both sides: 3x = 54", "Divide both sides by 3: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 9) - 6 = x + 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 6, \"e\": 12, \"x\": 18}", "seed": "13110315764765415047", "semantic_fingerprint": "sha256:d5c6ffaca1141a12c05efdf0d6307eb31b20cbbff38828750b8d4287c4705964", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004394", "prompt": "Compute: 55 + 74 + (-3 + (-211 + 19))", "solution_steps": ["Add: 55 + 74 = 129", "Add: -211 + 19 = -192", "Add: -3 + (-192) = -195", "Add: 129 + (-195) = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "55 + 74 + (-3 + (-211 + 19))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 74, \"c\": -3, \"d\": -211, \"e\": 19}", "seed": "5186559652418695164", "semantic_fingerprint": "sha256:fda9222720d01502dbb0a97b980d3722c023a50d7763f68e936a324eaaa7fd8e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004395", "prompt": "Evaluate: (-886 + 8) * (-324 - (-25) + 3)", "solution_steps": ["Add: -886 + 8 = -878", "Subtract: -324 - (-25) = -299", "Add: -299 + 3 = -296", "Multiply: -878 * (-296) = 259888"], "final_answer": "259888", "answer_type": "integer", "kind": "expression", "math_text": "(-886 + 8) * (-324 - (-25) + 3)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -886, \"b\": 8, \"c\": -324, \"d\": -25, \"e\": 3}", "seed": "1783649419441259113", "semantic_fingerprint": "sha256:be08b9205b0d206fdf95e161278d7cd3a315224c895bbf3b3df296adeca048f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004396", "prompt": "Evaluate: (-84 - (-3) / (-918 + (-4) + 366)) * (-2)", "solution_steps": ["Add: -918 + (-4) = -922", "Add: -922 + 366 = -556", "Divide: -3 / (-556) = 3/556", "Subtract: -84 - 3/556 = -46707/556", "Multiply: (-46707/556) * (-2) = 46707/278"], "final_answer": "46707/278", "answer_type": "rational", "kind": "expression", "math_text": "(-84 - (-3) / (-918 + (-4) + 366)) * (-2)", "variable": null, "family": "expression_5op", "shape": "(* (- n (/ n (+ (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -3, \"c\": -918, \"d\": -4, \"e\": 366, \"f\": -2}", "seed": "12651406587180487044", "semantic_fingerprint": "sha256:2e75b425969a10e4ba857cbe41eb0b0fc625dccbfeece2a5551fa2d7a560ac9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004397", "prompt": "Calculate: 6 * (55 - (-1)) + 629 * 1", "solution_steps": ["Subtract: 55 - (-1) = 56", "Multiply: 6 * 56 = 336", "Multiply: 629 * 1 = 629", "Add: 336 + 629 = 965"], "final_answer": "965", "answer_type": "integer", "kind": "expression", "math_text": "6 * (55 - (-1)) + 629 * 1", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 55, \"c\": -1, \"d\": 629, \"e\": 1}", "seed": "9714489669916844737", "semantic_fingerprint": "sha256:682409b15c94b5486163f320f33e8df48568c3156f34e17bd07b96cd8ceef271", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004398", "prompt": "What is 15 / ((836 - (45 - (-8) / (-8))) / (-60))?", "solution_steps": ["Divide: -8 / (-8) = 1", "Subtract: 45 - 1 = 44", "Subtract: 836 - 44 = 792", "Divide: 792 / (-60) = -66/5", "Divide: 15 / (-66/5) = -25/22"], "final_answer": "-25/22", "answer_type": "rational", "kind": "expression", "math_text": "15 / ((836 - (45 - (-8) / (-8))) / (-60))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- n (- n (/ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 836, \"c\": 45, \"d\": -8, \"e\": -8, \"f\": -60}", "seed": "10099758701974260861", "semantic_fingerprint": "sha256:ecff49a69160e42faefb984603313bd568e8e859c4fa91199702dd66bf1c3866", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004399", "prompt": "What value of x satisfies -5x = 5(x + 9) - 155?", "solution_steps": ["Expand: -5x = 5x + 45 - 155", "Combine constants: -5x = 5x - 110", "Subtract 5x from both sides: -10x = -110", "Divide both sides by -10: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 5(x + 9) - 155", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 9, \"e\": -155, \"x\": 11}", "seed": "7155115900616225814", "semantic_fingerprint": "sha256:90dca50c2912653ead780a010aba3e68c2340d0dac5b6445348bec1bd2ab2e6f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004400", "prompt": "What is (6 + 765) / 39 + 5?", "solution_steps": ["Add: 6 + 765 = 771", "Divide: 771 / 39 = 257/13", "Add: 257/13 + 5 = 322/13"], "final_answer": "322/13", "answer_type": "rational", "kind": "expression", "math_text": "(6 + 765) / 39 + 5", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 765, \"c\": 39, \"d\": 5}", "seed": "11049106226159872404", "semantic_fingerprint": "sha256:8c977026555d6e4d2012c1e0d93533e29624f4b2a53749ccbf55f69cdae6eff9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004401", "prompt": "Evaluate: (-484 / (33 - 664) + (-2)) * (-29)", "solution_steps": ["Subtract: 33 - 664 = -631", "Divide: -484 / (-631) = 484/631", "Add: 484/631 + (-2) = -778/631", "Multiply: (-778/631) * (-29) = 22562/631"], "final_answer": "22562/631", "answer_type": "rational", "kind": "expression", "math_text": "(-484 / (33 - 664) + (-2)) * (-29)", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -484, \"b\": 33, \"c\": 664, \"d\": -2, \"e\": -29}", "seed": "4655005419860082735", "semantic_fingerprint": "sha256:4dd734508a1828d89af0d9a1093a5702d35071129e5c4f23976e2d2beca2130c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004402", "prompt": "Evaluate: (77 + (28 + (-96 + 9))) / (-6)", "solution_steps": ["Add: -96 + 9 = -87", "Add: 28 + (-87) = -59", "Add: 77 + (-59) = 18", "Divide: 18 / (-6) = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "(77 + (28 + (-96 + 9))) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 28, \"c\": -96, \"d\": 9, \"e\": -6}", "seed": "11980070640308156890", "semantic_fingerprint": "sha256:d6e3ea28ebee3588a9c7d7d938d4624598db7a59bd10e74b11267ce189980cc7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004403", "prompt": "What is (-6 + 66) * (-36 - (-532 - 569))?", "solution_steps": ["Add: -6 + 66 = 60", "Subtract: -532 - 569 = -1101", "Subtract: -36 - (-1101) = 1065", "Multiply: 60 * 1065 = 63900"], "final_answer": "63900", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + 66) * (-36 - (-532 - 569))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 66, \"c\": -36, \"d\": -532, \"e\": 569}", "seed": "3558364785510640132", "semantic_fingerprint": "sha256:26cac53da8dee20150f593fa067714d494f81d7a38893687aeab8d6aff41e0b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004404", "prompt": "Solve for x: 6x - 713 = -11(x - 390)", "solution_steps": ["Expand: 6x - 713 = -11x + 4290", "Add 11x to both sides: 17x - 713 = 4290", "Add 713 to both sides: 17x = 5003", "Divide both sides by 17: x = 5003/17"], "final_answer": "5003/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 713 = -11(x - 390)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 713, \"c\": -11, \"d\": 390}", "seed": "2916673162584396200", "semantic_fingerprint": "sha256:4f3d3d9168c95f01811a5d142608dac0b302049b5df2fa134518f4e6a93ec02a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004405", "prompt": "Solve the equation -10(x - 4) + 182 = 2(x + 81) for x.", "solution_steps": ["Expand: -10x + 40 + 182 = 2(x + 81)", "Expand: -10x + 40 + 182 = 2x + 162", "Combine constants: -10x + 222 = 2x + 162", "Subtract 2x from both sides: -12x + 222 = 162", "Subtract 222 from both sides: -12x = -60", "Divide both sides by -12: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 4) + 182 = 2(x + 81)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"c\": 2, \"d\": 81, \"f\": 182, \"x\": 5}", "seed": "4825588494930577405", "semantic_fingerprint": "sha256:111a1db62b052737a00b12246daa0e6fc6e72fe69cefd7f6964a113acdd34412", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004406", "prompt": "Solve the equation 11x - 152 = 2(x - 4) for x.", "solution_steps": ["Expand: 11x - 152 = 2x - 8", "Subtract 2x from both sides: 9x - 152 = -8", "Add 152 to both sides: 9x = 144", "Divide both sides by 9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 152 = 2(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 4, \"e\": -152, \"x\": 16}", "seed": "9257020443816442380", "semantic_fingerprint": "sha256:1b1ffc2387423ddcb74cf3a31c775087c8c701d7ad8e9d8b718249f1a6c4d60b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004407", "prompt": "Evaluate: (-5 - 85 + 7) / (3 - 25 - 98)", "solution_steps": ["Subtract: -5 - 85 = -90", "Add: -90 + 7 = -83", "Subtract: 3 - 25 = -22", "Subtract: -22 - 98 = -120", "Divide: -83 / (-120) = 83/120"], "final_answer": "83/120", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 85 + 7) / (3 - 25 - 98)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 85, \"c\": 7, \"d\": 3, \"e\": 25, \"f\": 98}", "seed": "3094697303085721309", "semantic_fingerprint": "sha256:7dc3714e0c95ce46ab891368fafa4ff39d9511a47ac74d7cc7d476486e9203e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004408", "prompt": "Evaluate: -3 * (-413) * (51 + (-2) - (-7 - 0))", "solution_steps": ["Multiply: -3 * (-413) = 1239", "Add: 51 + (-2) = 49", "Subtract: -7 - 0 = -7", "Subtract: 49 - (-7) = 56", "Multiply: 1239 * 56 = 69384"], "final_answer": "69384", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-413) * (51 + (-2) - (-7 - 0))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -413, \"c\": 51, \"d\": -2, \"e\": -7, \"f\": 0}", "seed": "17119064384479514134", "semantic_fingerprint": "sha256:2fa89ce132b312eb177540030d7805c27f9f5ed92373e88416fba118d4627d71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004409", "prompt": "Find x: -12(x - 445) + 5 = 9(x + 930)", "solution_steps": ["Expand: -12x + 5340 + 5 = 9(x + 930)", "Expand: -12x + 5340 + 5 = 9x + 8370", "Combine constants: -12x + 5345 = 9x + 8370", "Subtract 9x from both sides: -21x + 5345 = 8370", "Subtract 5345 from both sides: -21x = 3025", "Divide both sides by -21: x = -3025/21"], "final_answer": "-3025/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 445) + 5 = 9(x + 930)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 445, \"c\": 5, \"d\": 9, \"e\": 930}", "seed": "1022441942720142709", "semantic_fingerprint": "sha256:5d62471aa4f08ee2f24dc2dc65549c633168ec64f0c9ccf109aef3f8800e654a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004410", "prompt": "Compute: 60 / (-7 * (5 + (-157)))", "solution_steps": ["Add: 5 + (-157) = -152", "Multiply: -7 * (-152) = 1064", "Divide: 60 / 1064 = 15/266"], "final_answer": "15/266", "answer_type": "rational", "kind": "expression", "math_text": "60 / (-7 * (5 + (-157)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -7, \"c\": 5, \"d\": -157}", "seed": "6294739879994084382", "semantic_fingerprint": "sha256:346a5d805b65f4ed884d2210d04a98af544540d1d80f0edf04b3fa7b4c0bb156", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004411", "prompt": "Evaluate: 46 - (-47 + (-688)) / (-19)", "solution_steps": ["Add: -47 + (-688) = -735", "Divide: -735 / (-19) = 735/19", "Subtract: 46 - 735/19 = 139/19"], "final_answer": "139/19", "answer_type": "rational", "kind": "expression", "math_text": "46 - (-47 + (-688)) / (-19)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -47, \"c\": -688, \"d\": -19}", "seed": "12723155674490517146", "semantic_fingerprint": "sha256:afdd31214f83f05ed82f4d14c8fadc014dbd6454d390247ec25750c3d23e3382", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004412", "prompt": "What is 66 - (-6) * (77 / 7)?", "solution_steps": ["Divide: 77 / 7 = 11", "Multiply: -6 * 11 = -66", "Subtract: 66 - (-66) = 132"], "final_answer": "132", "answer_type": "integer", "kind": "expression", "math_text": "66 - (-6) * (77 / 7)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -6, \"c\": 77, \"d\": 7}", "seed": "10285524387885829864", "semantic_fingerprint": "sha256:f77b8fad9c35c668688c3f1d13c3a05db242775e6aae08ecfa6bf782979c1e87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004413", "prompt": "Solve the equation 7x - 3 = -2x - 129 for x.", "solution_steps": ["Add 2x to both sides: 9x - 3 = -129", "Add 3 to both sides: 9x = -126", "Divide both sides by 9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 3 = -2x - 129", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": -2, \"e\": -129, \"x\": -14}", "seed": "12024971570023795944", "semantic_fingerprint": "sha256:bb802aaefd2f89ba767281795217d0afae6cca91e99f8cf02d882996bd484619", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004414", "prompt": "Evaluate: 46 + (-501) + (262 + 4) - (-7)", "solution_steps": ["Add: 46 + (-501) = -455", "Add: 262 + 4 = 266", "Add: -455 + 266 = -189", "Subtract: -189 - (-7) = -182"], "final_answer": "-182", "answer_type": "integer", "kind": "expression", "math_text": "46 + (-501) + (262 + 4) - (-7)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -501, \"c\": 262, \"d\": 4, \"e\": -7}", "seed": "9166267006333441527", "semantic_fingerprint": "sha256:13b55597059ebad08f7d9c1b5e3e23cd6ba05f8b2b6d44aff119fef545ec40b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004415", "prompt": "What is 976 / (-449) * (0 / (-6))?", "solution_steps": ["Divide: 976 / (-449) = -976/449", "Divide: 0 / (-6) = 0", "Multiply: (-976/449) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "976 / (-449) * (0 / (-6))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 976, \"b\": -449, \"c\": 0, \"d\": -6}", "seed": "9547110077260504116", "semantic_fingerprint": "sha256:e8532130a3c349cc94a89784df84aba59c1beff7f00fe6261990724ed487d763", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004416", "prompt": "Solve the equation 10(x + 25) = -6(x - 6) + 2 for x.", "solution_steps": ["Expand: 10x + 250 = -6(x - 6) + 2", "Expand: 10x + 250 = -6x + 36 + 2", "Combine constants: 10x + 250 = -6x + 38", "Add 6x to both sides: 16x + 250 = 38", "Subtract 250 from both sides: 16x = -212", "Divide both sides by 16: x = -53/4"], "final_answer": "-53/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 25) = -6(x - 6) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 25, \"c\": -6, \"d\": 6, \"e\": 2}", "seed": "11458501343005534135", "semantic_fingerprint": "sha256:628f9aa5a38ad4fac871b63cd395f3a9c7f94cd235ceebe9f3a8229e069e0bf2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004417", "prompt": "Solve the equation 12x = 7(x + 31) - 172 for x.", "solution_steps": ["Expand: 12x = 7x + 217 - 172", "Combine constants: 12x = 7x + 45", "Subtract 7x from both sides: 5x = 45", "Divide both sides by 5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 7(x + 31) - 172", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 31, \"e\": -172, \"x\": 9}", "seed": "9335787515172488669", "semantic_fingerprint": "sha256:74e0efa0b40bd8f864cf087ca85ecc529ed48c1a688e97ea16af7bd9ea00a0d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004418", "prompt": "Compute: (-9 - 60 - (-56 + (-2) - 627)) * (-781)", "solution_steps": ["Subtract: -9 - 60 = -69", "Add: -56 + (-2) = -58", "Subtract: -58 - 627 = -685", "Subtract: -69 - (-685) = 616", "Multiply: 616 * (-781) = -481096"], "final_answer": "-481096", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 60 - (-56 + (-2) - 627)) * (-781)", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (- (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 60, \"c\": -56, \"d\": -2, \"e\": 627, \"f\": -781}", "seed": "7052160494901820508", "semantic_fingerprint": "sha256:f7576c0a7e5e595c3b65c43dfa53655a12e6d74fcc31b312a2c44aca07f0e9c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004419", "prompt": "What value of x satisfies -3(x + 4) + 3 = x + 19?", "solution_steps": ["Expand: -3x - 12 + 3 = x + 19", "Combine constants: -3x - 9 = x + 19", "Subtract x from both sides: -4x - 9 = 19", "Add 9 to both sides: -4x = 28", "Divide both sides by -4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 4) + 3 = x + 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 3, \"e\": 19, \"x\": -7}", "seed": "7476405844473750991", "semantic_fingerprint": "sha256:1d48f95ebcf1cbb90d25f1867db59400971c8342b174ebbc72c455952e073479", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004420", "prompt": "Compute: (-16 * (-4) - (1 + (-5) * 979)) * (-9)", "solution_steps": ["Multiply: -16 * (-4) = 64", "Multiply: -5 * 979 = -4895", "Add: 1 + (-4895) = -4894", "Subtract: 64 - (-4894) = 4958", "Multiply: 4958 * (-9) = -44622"], "final_answer": "-44622", "answer_type": "integer", "kind": "expression", "math_text": "(-16 * (-4) - (1 + (-5) * 979)) * (-9)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) (+ n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -4, \"c\": 1, \"d\": -5, \"e\": 979, \"f\": -9}", "seed": "8118632619029578440", "semantic_fingerprint": "sha256:ac265103ced3274bf574436531ce245f9dac2d85e010278c459bc61377c66c88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004421", "prompt": "Solve for x: 3(x - 8) + 2 = 5(x + 19)", "solution_steps": ["Expand: 3x - 24 + 2 = 5(x + 19)", "Expand: 3x - 24 + 2 = 5x + 95", "Combine constants: 3x - 22 = 5x + 95", "Subtract 5x from both sides: -2x - 22 = 95", "Add 22 to both sides: -2x = 117", "Divide both sides by -2: x = -117/2"], "final_answer": "-117/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 8) + 2 = 5(x + 19)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 2, \"d\": 5, \"e\": 19}", "seed": "18378888052887766082", "semantic_fingerprint": "sha256:2abc913ebd1c1a39678765f2b401355d074390369dbd3dbc9e16d54292eb682c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004422", "prompt": "What is 48 - (8 - (9 / (-466) - (-14 - 857)))?", "solution_steps": ["Divide: 9 / (-466) = -9/466", "Subtract: -14 - 857 = -871", "Subtract: -9/466 - (-871) = 405877/466", "Subtract: 8 - 405877/466 = -402149/466", "Subtract: 48 - (-402149/466) = 424517/466"], "final_answer": "424517/466", "answer_type": "rational", "kind": "expression", "math_text": "48 - (8 - (9 / (-466) - (-14 - 857)))", "variable": null, "family": "expression_5op", "shape": "(- n (- n (- (/ n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 8, \"c\": 9, \"d\": -466, \"e\": -14, \"f\": 857}", "seed": "16845816025233456815", "semantic_fingerprint": "sha256:472a60b3ce96b3a872b40dd3ee51f918118dd00dc3e47d5b66e68a28f210f5ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004423", "prompt": "Compute: 5 / (-31 * (-360 + 10))", "solution_steps": ["Add: -360 + 10 = -350", "Multiply: -31 * (-350) = 10850", "Divide: 5 / 10850 = 1/2170"], "final_answer": "1/2170", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-31 * (-360 + 10))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -31, \"c\": -360, \"d\": 10}", "seed": "10249022881189149213", "semantic_fingerprint": "sha256:2d524b42c30cae532d3b169063b5a506da41a9bee396e2c36fcbe337e72c91db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004424", "prompt": "Solve for x: -11(x - 1) + 146 = 7(x + 7)", "solution_steps": ["Expand: -11x + 11 + 146 = 7(x + 7)", "Expand: -11x + 11 + 146 = 7x + 49", "Combine constants: -11x + 157 = 7x + 49", "Subtract 7x from both sides: -18x + 157 = 49", "Subtract 157 from both sides: -18x = -108", "Divide both sides by -18: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 1) + 146 = 7(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"c\": 7, \"d\": 7, \"f\": 146, \"x\": 6}", "seed": "16857379980023248923", "semantic_fingerprint": "sha256:c56b3741560c8df324fdd63a7300450cc019b49e92f5a550b3e9cbd16ef0b26b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004425", "prompt": "Compute: 77 * (-6) * (840 / 880)", "solution_steps": ["Multiply: 77 * (-6) = -462", "Divide: 840 / 880 = 21/22", "Multiply: -462 * (21/22) = -441"], "final_answer": "-441", "answer_type": "integer", "kind": "expression", "math_text": "77 * (-6) * (840 / 880)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -6, \"c\": 840, \"d\": 880}", "seed": "11359506790284024851", "semantic_fingerprint": "sha256:cf2f927e9deedfffc77ee0fd8e921c44534837634328c715e4990b40a755a812", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004426", "prompt": "Solve for x: 7(x + 3) = 6(x - 86) + 351", "solution_steps": ["Expand: 7x + 21 = 6(x - 86) + 351", "Expand: 7x + 21 = 6x - 516 + 351", "Combine constants: 7x + 21 = 6x - 165", "Subtract 6x from both sides: x + 21 = -165", "Subtract 21 from both sides: x = -186"], "final_answer": "-186", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 3) = 6(x - 86) + 351", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 6, \"d\": 86, \"e\": 351}", "seed": "4481022535407412376", "semantic_fingerprint": "sha256:c4bee2f33df9431c2e66391c1fc2bf812b2f6a2853607ec6c1a21454a83477fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004427", "prompt": "Evaluate: 3 * (-368) / (-22) - (-6) * (-9) + 5", "solution_steps": ["Multiply: 3 * (-368) = -1104", "Divide: -1104 / (-22) = 552/11", "Multiply: -6 * (-9) = 54", "Subtract: 552/11 - 54 = -42/11", "Add: -42/11 + 5 = 13/11"], "final_answer": "13/11", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-368) / (-22) - (-6) * (-9) + 5", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ (* n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -368, \"c\": -22, \"d\": -6, \"e\": -9, \"f\": 5}", "seed": "6638908449443695078", "semantic_fingerprint": "sha256:354b0a09f0993c14551d7162e6e179cb1c06d4986505e004c07e23e372b8fd5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004428", "prompt": "Find x: 7x - 8 = -7x - 919", "solution_steps": ["Add 7x to both sides: 14x - 8 = -919", "Add 8 to both sides: 14x = -911", "Divide both sides by 14: x = -911/14"], "final_answer": "-911/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 8 = -7x - 919", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": -7, \"d\": 919}", "seed": "17373241619540080679", "semantic_fingerprint": "sha256:dc755fc792410e26b8e57536a4d3f31e23ea2aca233786ad40ecd78f39f934db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004429", "prompt": "Calculate: 3 * (-45) * (41 + (-3) - (-96) * (-2))", "solution_steps": ["Multiply: 3 * (-45) = -135", "Add: 41 + (-3) = 38", "Multiply: -96 * (-2) = 192", "Subtract: 38 - 192 = -154", "Multiply: -135 * (-154) = 20790"], "final_answer": "20790", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-45) * (41 + (-3) - (-96) * (-2))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -45, \"c\": 41, \"d\": -3, \"e\": -96, \"f\": -2}", "seed": "2003400499822186587", "semantic_fingerprint": "sha256:15f6f34f1827189123e7ac4e4277f1ca6643e577ca9bb09b8d5f91bdad5d5e3f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004430", "prompt": "Calculate: 5 * (-856 - (-767 - (-4)) / (-6))", "solution_steps": ["Subtract: -767 - (-4) = -763", "Divide: -763 / (-6) = 763/6", "Subtract: -856 - 763/6 = -5899/6", "Multiply: 5 * (-5899/6) = -29495/6"], "final_answer": "-29495/6", "answer_type": "rational", "kind": "expression", "math_text": "5 * (-856 - (-767 - (-4)) / (-6))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -856, \"c\": -767, \"d\": -4, \"e\": -6}", "seed": "7671802490094172507", "semantic_fingerprint": "sha256:c9526de0bb82af46a6f7f1f09a5f7a770be9c0229cffd6088c4b4c3700b70f9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004431", "prompt": "What value of x satisfies -5x - 619 = -11(x - 15)?", "solution_steps": ["Expand: -5x - 619 = -11x + 165", "Add 11x to both sides: 6x - 619 = 165", "Add 619 to both sides: 6x = 784", "Divide both sides by 6: x = 392/3"], "final_answer": "392/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x - 619 = -11(x - 15)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 619, \"c\": -11, \"d\": 15}", "seed": "5608020606449782744", "semantic_fingerprint": "sha256:1f4c0b55696b6e8ede2e82f55d0631548eaffee6bbbad81ea75b9e826632345a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004432", "prompt": "Find x: -7(x + 750) + 53 = x + 31", "solution_steps": ["Expand: -7x - 5250 + 53 = x + 31", "Combine constants: -7x - 5197 = x + 31", "Subtract x from both sides: -8x - 5197 = 31", "Add 5197 to both sides: -8x = 5228", "Divide both sides by -8: x = -1307/2"], "final_answer": "-1307/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 750) + 53 = x + 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 750, \"c\": 53, \"d\": 31}", "seed": "17021347685412784340", "semantic_fingerprint": "sha256:147fefde8f46aa8690078d7ff7e0c8b54cc716a23abbdc86b710ea2c4b45e6f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004433", "prompt": "Compute: (-81 + 6) / (-863 + 24)", "solution_steps": ["Add: -81 + 6 = -75", "Add: -863 + 24 = -839", "Divide: -75 / (-839) = 75/839"], "final_answer": "75/839", "answer_type": "rational", "kind": "expression", "math_text": "(-81 + 6) / (-863 + 24)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 6, \"c\": -863, \"d\": 24}", "seed": "9100306912462120337", "semantic_fingerprint": "sha256:49fff79d3d5d3eedb4ff91ae742c9338d74d1d053a8232006ea75d61bce611e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004434", "prompt": "Compute: (5 - 146 - (-9)) * 0", "solution_steps": ["Subtract: 5 - 146 = -141", "Subtract: -141 - (-9) = -132", "Multiply: -132 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(5 - 146 - (-9)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 146, \"c\": -9, \"d\": 0}", "seed": "4544523931136756745", "semantic_fingerprint": "sha256:3903ec2e819ac2f7a2d1016e69e7313ae2f5f3cba8ac5b34c552b72cae29ba81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004435", "prompt": "Evaluate: -754 * 82 * (-28 / 6)", "solution_steps": ["Multiply: -754 * 82 = -61828", "Divide: -28 / 6 = -14/3", "Multiply: -61828 * (-14/3) = 865592/3"], "final_answer": "865592/3", "answer_type": "rational", "kind": "expression", "math_text": "-754 * 82 * (-28 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -754, \"b\": 82, \"c\": -28, \"d\": 6}", "seed": "4068935630251259931", "semantic_fingerprint": "sha256:f93565b5e5ba01cecc9547858f30a9fdceea1ca39a56399952a4f973e3f52350", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004436", "prompt": "Calculate: -8 + (90 + (-84 + 599)) * 44", "solution_steps": ["Add: -84 + 599 = 515", "Add: 90 + 515 = 605", "Multiply: 605 * 44 = 26620", "Add: -8 + 26620 = 26612"], "final_answer": "26612", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (90 + (-84 + 599)) * 44", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 90, \"c\": -84, \"d\": 599, \"e\": 44}", "seed": "7787287219965977913", "semantic_fingerprint": "sha256:954d9ba4bf09049a1fb264270cee151cc3bb2d56cd1141840bdd7e37e26a0592", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004437", "prompt": "Solve the equation 11(x - 7) - 6 = x + 77 for x.", "solution_steps": ["Expand: 11x - 77 - 6 = x + 77", "Combine constants: 11x - 83 = x + 77", "Subtract x from both sides: 10x - 83 = 77", "Add 83 to both sides: 10x = 160", "Divide both sides by 10: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 7) - 6 = x + 77", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 6, \"e\": 77, \"x\": 16}", "seed": "4553248507522741122", "semantic_fingerprint": "sha256:45a146e4a6df8bf180a6551bb31bfd0b382e66e70f4cafe781588ac6ea2b1c17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004438", "prompt": "Evaluate: 4 - (624 + 971) * 5 + (-18)", "solution_steps": ["Add: 624 + 971 = 1595", "Multiply: 1595 * 5 = 7975", "Subtract: 4 - 7975 = -7971", "Add: -7971 + (-18) = -7989"], "final_answer": "-7989", "answer_type": "integer", "kind": "expression", "math_text": "4 - (624 + 971) * 5 + (-18)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 624, \"c\": 971, \"d\": 5, \"e\": -18}", "seed": "17318083069671708604", "semantic_fingerprint": "sha256:7523f435f99a5ee4606a6775bb332cf8013255514faa473710eecd5262b18e75", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004439", "prompt": "What value of x satisfies 4(x + 69) + 57 = x + 273?", "solution_steps": ["Expand: 4x + 276 + 57 = x + 273", "Combine constants: 4x + 333 = x + 273", "Subtract x from both sides: 3x + 333 = 273", "Subtract 333 from both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 69) + 57 = x + 273", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 69, \"c\": 57, \"e\": 273, \"x\": -20}", "seed": "13334612655297189532", "semantic_fingerprint": "sha256:dc113672fb5646b5627812865e1272cc89d93b6557f7d712904b1c6ba475bc10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004440", "prompt": "What value of x satisfies 10x - 87 = 5x - 142?", "solution_steps": ["Subtract 5x from both sides: 5x - 87 = -142", "Add 87 to both sides: 5x = -55", "Divide both sides by 5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 87 = 5x - 142", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 87, \"c\": 5, \"e\": -142, \"x\": -11}", "seed": "10710487162701317377", "semantic_fingerprint": "sha256:a84eb203d7601f4ae3a801aa8693ada7ce953f7b029fd7de51f24e66a9e7254d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004441", "prompt": "Solve the equation 9x - 91 = 2(x - 52) for x.", "solution_steps": ["Expand: 9x - 91 = 2x - 104", "Subtract 2x from both sides: 7x - 91 = -104", "Add 91 to both sides: 7x = -13", "Divide both sides by 7: x = -13/7"], "final_answer": "-13/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 91 = 2(x - 52)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 91, \"c\": 2, \"d\": 52}", "seed": "5606380384897472656", "semantic_fingerprint": "sha256:a9e09329cb813422b5a43a8906e87863af2de0023c403c5952270d0ccc356b9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004442", "prompt": "Evaluate: 64 / (-5) - (10 + (-195) + (786 - 4))", "solution_steps": ["Divide: 64 / (-5) = -64/5", "Add: 10 + (-195) = -185", "Subtract: 786 - 4 = 782", "Add: -185 + 782 = 597", "Subtract: -64/5 - 597 = -3049/5"], "final_answer": "-3049/5", "answer_type": "rational", "kind": "expression", "math_text": "64 / (-5) - (10 + (-195) + (786 - 4))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -5, \"c\": 10, \"d\": -195, \"e\": 786, \"f\": 4}", "seed": "17923504191523905129", "semantic_fingerprint": "sha256:d737d8fd93323b9f828ef61e4572f3b9bd8f6e9984e97d907fb940dc7618e886", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004443", "prompt": "Calculate: 214 + (-53) * (-70 * (-7) / (-274) * (-6))", "solution_steps": ["Multiply: -70 * (-7) = 490", "Divide: 490 / (-274) = -245/137", "Multiply: (-245/137) * (-6) = 1470/137", "Multiply: -53 * (1470/137) = -77910/137", "Add: 214 + (-77910/137) = -48592/137"], "final_answer": "-48592/137", "answer_type": "rational", "kind": "expression", "math_text": "214 + (-53) * (-70 * (-7) / (-274) * (-6))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (* (/ (* n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 214, \"b\": -53, \"c\": -70, \"d\": -7, \"e\": -274, \"f\": -6}", "seed": "9452135693290255413", "semantic_fingerprint": "sha256:d20a48c213bb3bc5848349dc431a2f3fea0955172df238931de697c266973e71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004444", "prompt": "What value of x satisfies -6x = 7(x + 66) - 566?", "solution_steps": ["Expand: -6x = 7x + 462 - 566", "Combine constants: -6x = 7x - 104", "Subtract 7x from both sides: -13x = -104", "Divide both sides by -13: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 7(x + 66) - 566", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 66, \"e\": -566, \"x\": 8}", "seed": "593808014169008473", "semantic_fingerprint": "sha256:22255700703ee4e80cc2185920f172955b3d10e36a5681306eb47a19df7173fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004445", "prompt": "Solve for x: 9(x + 1) - 74 = x + 53", "solution_steps": ["Expand: 9x + 9 - 74 = x + 53", "Combine constants: 9x - 65 = x + 53", "Subtract x from both sides: 8x - 65 = 53", "Add 65 to both sides: 8x = 118", "Divide both sides by 8: x = 59/4"], "final_answer": "59/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 1) - 74 = x + 53", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 74, \"d\": 53}", "seed": "15148002665175515732", "semantic_fingerprint": "sha256:bbec25b7e3aa24f8179f2955553b8cc801da6190ed7b59998410fb1bd0f2fadd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004446", "prompt": "What value of x satisfies 3x = -7(x + 1) - 153?", "solution_steps": ["Expand: 3x = -7x - 7 - 153", "Combine constants: 3x = -7x - 160", "Add 7x to both sides: 10x = -160", "Divide both sides by 10: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -7(x + 1) - 153", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 1, \"e\": -153, \"x\": -16}", "seed": "17975282138933369230", "semantic_fingerprint": "sha256:1f828489e2739af252b78c3ea36af8e52a26b3e8b93c9dd8e4739eb6b03dadfa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004447", "prompt": "Compute: 76 * ((133 + 12) / (421 / (-36)))", "solution_steps": ["Add: 133 + 12 = 145", "Divide: 421 / (-36) = -421/36", "Divide: 145 / (-421/36) = -5220/421", "Multiply: 76 * (-5220/421) = -396720/421"], "final_answer": "-396720/421", "answer_type": "rational", "kind": "expression", "math_text": "76 * ((133 + 12) / (421 / (-36)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 133, \"c\": 12, \"d\": 421, \"e\": -36}", "seed": "4956447763520055467", "semantic_fingerprint": "sha256:8098a257e7718f54012bc30081fc9b63d0fb19cc507d9cee6bc4b4f34decf22a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004448", "prompt": "What value of x satisfies -2x - 421 = -9(x - 6)?", "solution_steps": ["Expand: -2x - 421 = -9x + 54", "Add 9x to both sides: 7x - 421 = 54", "Add 421 to both sides: 7x = 475", "Divide both sides by 7: x = 475/7"], "final_answer": "475/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 421 = -9(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 421, \"c\": -9, \"d\": 6}", "seed": "17800091397526045251", "semantic_fingerprint": "sha256:e922bd27679e4ffc7a9cdd0ca6118e4f6d4fca56194c351c22801df446ce8510", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004449", "prompt": "Solve the equation 5x - 15 = 8x - 57 for x.", "solution_steps": ["Subtract 8x from both sides: -3x - 15 = -57", "Add 15 to both sides: -3x = -42", "Divide both sides by -3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 15 = 8x - 57", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 15, \"c\": 8, \"e\": -57, \"x\": 14}", "seed": "3261647896735877502", "semantic_fingerprint": "sha256:eb34307dc611d495d385251f6aa4792f80ae7ce43566698977f9a5ec4f7ef930", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004450", "prompt": "Calculate: (-41 + (-4)) / (78 / 91 + (-68))", "solution_steps": ["Add: -41 + (-4) = -45", "Divide: 78 / 91 = 6/7", "Add: 6/7 + (-68) = -470/7", "Divide: -45 / (-470/7) = 63/94"], "final_answer": "63/94", "answer_type": "rational", "kind": "expression", "math_text": "(-41 + (-4)) / (78 / 91 + (-68))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -4, \"c\": 78, \"d\": 91, \"e\": -68}", "seed": "10633470354403388849", "semantic_fingerprint": "sha256:1815b348270de0449130d925255c4598208e36e1d0a25087c5246e4a9cdfe370", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004451", "prompt": "Solve for x: 11(x - 65) + 3 = 2(x + 1)", "solution_steps": ["Expand: 11x - 715 + 3 = 2(x + 1)", "Expand: 11x - 715 + 3 = 2x + 2", "Combine constants: 11x - 712 = 2x + 2", "Subtract 2x from both sides: 9x - 712 = 2", "Add 712 to both sides: 9x = 714", "Divide both sides by 9: x = 238/3"], "final_answer": "238/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 65) + 3 = 2(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 65, \"c\": 3, \"d\": 2, \"e\": 1}", "seed": "8437002026585624918", "semantic_fingerprint": "sha256:7acdc42283540fd460447bcae82e721b28a40cdf55d23bb7a6439ede90fcec7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004452", "prompt": "Compute: 998 - 1 / (-2) + (-196) / (-3)", "solution_steps": ["Divide: 1 / (-2) = -1/2", "Subtract: 998 - (-1/2) = 1997/2", "Divide: -196 / (-3) = 196/3", "Add: 1997/2 + 196/3 = 6383/6"], "final_answer": "6383/6", "answer_type": "rational", "kind": "expression", "math_text": "998 - 1 / (-2) + (-196) / (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 998, \"b\": 1, \"c\": -2, \"d\": -196, \"e\": -3}", "seed": "11187105054315834635", "semantic_fingerprint": "sha256:19dac0b542ed2bae2c059f5b9364353011a7296ae2d26f598bbb1e2fd647c1ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004453", "prompt": "What is (77 * (-47) + (-95) * (-4)) / (-23)?", "solution_steps": ["Multiply: 77 * (-47) = -3619", "Multiply: -95 * (-4) = 380", "Add: -3619 + 380 = -3239", "Divide: -3239 / (-23) = 3239/23"], "final_answer": "3239/23", "answer_type": "rational", "kind": "expression", "math_text": "(77 * (-47) + (-95) * (-4)) / (-23)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -47, \"c\": -95, \"d\": -4, \"e\": -23}", "seed": "7124977474622206193", "semantic_fingerprint": "sha256:d67e8270fa20a326e75f2f94031b2f5d368054b2acbdb346d43d57b50c81cfa1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004454", "prompt": "What value of x satisfies -5(x - 42) - 5 = x + 283?", "solution_steps": ["Expand: -5x + 210 - 5 = x + 283", "Combine constants: -5x + 205 = x + 283", "Subtract x from both sides: -6x + 205 = 283", "Subtract 205 from both sides: -6x = 78", "Divide both sides by -6: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 42) - 5 = x + 283", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 42, \"c\": 5, \"e\": 283, \"x\": -13}", "seed": "304510684423591972", "semantic_fingerprint": "sha256:af38dd061e923302eefaadd87506f1b1afdcb704e65db8fdf736e50bad8ae1b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004455", "prompt": "Evaluate: -222 + (-29) - (-4 - 0) * (-24) - 9", "solution_steps": ["Add: -222 + (-29) = -251", "Subtract: -4 - 0 = -4", "Multiply: -4 * (-24) = 96", "Subtract: -251 - 96 = -347", "Subtract: -347 - 9 = -356"], "final_answer": "-356", "answer_type": "integer", "kind": "expression", "math_text": "-222 + (-29) - (-4 - 0) * (-24) - 9", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -222, \"b\": -29, \"c\": -4, \"d\": 0, \"e\": -24, \"f\": 9}", "seed": "5491255291355810409", "semantic_fingerprint": "sha256:250b73cd7c2fc9e3d3f272b36a29f86f4925a71aa4e4149ef78c2faed263a64b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004456", "prompt": "Find x: 12x - 799 = 8x - 9", "solution_steps": ["Subtract 8x from both sides: 4x - 799 = -9", "Add 799 to both sides: 4x = 790", "Divide both sides by 4: x = 395/2"], "final_answer": "395/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 799 = 8x - 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 799, \"c\": 8, \"d\": 9}", "seed": "14276012135510841125", "semantic_fingerprint": "sha256:f71d4d47ed2250d6ff935b4552da50acf48d00dd5147a86910d377e3a5e3cc79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004457", "prompt": "Evaluate: -80 * (13 + (32 + (-409))) / 60", "solution_steps": ["Add: 32 + (-409) = -377", "Add: 13 + (-377) = -364", "Multiply: -80 * (-364) = 29120", "Divide: 29120 / 60 = 1456/3"], "final_answer": "1456/3", "answer_type": "rational", "kind": "expression", "math_text": "-80 * (13 + (32 + (-409))) / 60", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 13, \"c\": 32, \"d\": -409, \"e\": 60}", "seed": "10394777756197299264", "semantic_fingerprint": "sha256:3e20201e297458ef74a80fe4661375a77cc8b1e45d8465ecc73a083968140451", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004458", "prompt": "Calculate: (-4 - (-9) / 6) * (-9 * (-29))", "solution_steps": ["Divide: -9 / 6 = -3/2", "Subtract: -4 - (-3/2) = -5/2", "Multiply: -9 * (-29) = 261", "Multiply: (-5/2) * 261 = -1305/2"], "final_answer": "-1305/2", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-9) / 6) * (-9 * (-29))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -9, \"c\": 6, \"d\": -9, \"e\": -29}", "seed": "9529401894919003929", "semantic_fingerprint": "sha256:079ba4a0bcc6f5c27ecd79c5d2eaa8d972d53d5f846cd9a1f4cdd6c48563a94c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004459", "prompt": "Compute: 35 / (-91) - 95 + (-1) / (-5)", "solution_steps": ["Divide: 35 / (-91) = -5/13", "Subtract: -5/13 - 95 = -1240/13", "Divide: -1 / (-5) = 1/5", "Add: -1240/13 + 1/5 = -6187/65"], "final_answer": "-6187/65", "answer_type": "rational", "kind": "expression", "math_text": "35 / (-91) - 95 + (-1) / (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -91, \"c\": 95, \"d\": -1, \"e\": -5}", "seed": "12634658956477032077", "semantic_fingerprint": "sha256:eb4a433a1f48982c52c6cc720ce9d25b6ae5705669c8c4ef88e2cf18357957ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004460", "prompt": "Compute: 6 / (-8 * 44) * (-84 + 40 + (-34))", "solution_steps": ["Multiply: -8 * 44 = -352", "Divide: 6 / (-352) = -3/176", "Add: -84 + 40 = -44", "Add: -44 + (-34) = -78", "Multiply: (-3/176) * (-78) = 117/88"], "final_answer": "117/88", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-8 * 44) * (-84 + 40 + (-34))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -8, \"c\": 44, \"d\": -84, \"e\": 40, \"f\": -34}", "seed": "12399116718597471712", "semantic_fingerprint": "sha256:7497c982e2399ccfea16e6fa76e5ef2f75c2dc0a631c0036f541b75d1e5a59cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004461", "prompt": "Solve for x: 4(x + 82) + 7 = x + 5", "solution_steps": ["Expand: 4x + 328 + 7 = x + 5", "Combine constants: 4x + 335 = x + 5", "Subtract x from both sides: 3x + 335 = 5", "Subtract 335 from both sides: 3x = -330", "Divide both sides by 3: x = -110"], "final_answer": "-110", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 82) + 7 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 82, \"c\": 7, \"d\": 5}", "seed": "15788680480343932135", "semantic_fingerprint": "sha256:8bee43d1d062a4a227ea131a42738b68281a5a92c9a080603df556e110961406", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004462", "prompt": "Solve the equation 2x - 70 = -3x - 155 for x.", "solution_steps": ["Add 3x to both sides: 5x - 70 = -155", "Add 70 to both sides: 5x = -85", "Divide both sides by 5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 70 = -3x - 155", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 70, \"c\": -3, \"e\": -155, \"x\": -17}", "seed": "4805920097288579132", "semantic_fingerprint": "sha256:3d377ecc89c97bb16a9507d93620ac37ad0d0537991873b54ac945cd940ee8ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004463", "prompt": "What is -8 / 32 - (-8) + 403 / 933?", "solution_steps": ["Divide: -8 / 32 = -1/4", "Subtract: -1/4 - (-8) = 31/4", "Divide: 403 / 933 = 403/933", "Add: 31/4 + 403/933 = 30535/3732"], "final_answer": "30535/3732", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 32 - (-8) + 403 / 933", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 32, \"c\": -8, \"d\": 403, \"e\": 933}", "seed": "14023791664686121428", "semantic_fingerprint": "sha256:cb5e892cd76257e392602c93f0dbde40b045575c656a105dc265d9b50a1ebb57", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004464", "prompt": "Solve the equation -11(x + 2) + 280 = x + 282 for x.", "solution_steps": ["Expand: -11x - 22 + 280 = x + 282", "Combine constants: -11x + 258 = x + 282", "Subtract x from both sides: -12x + 258 = 282", "Subtract 258 from both sides: -12x = 24", "Divide both sides by -12: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 2) + 280 = x + 282", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"c\": 280, \"e\": 282, \"x\": -2}", "seed": "12507382495708502456", "semantic_fingerprint": "sha256:49898e385de8e760305ca685815250ec4512da176e90863b9c4d500856585617", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004465", "prompt": "Calculate: 7 * (-1 * (-6)) / (-5) - (-9) * (-12)", "solution_steps": ["Multiply: -1 * (-6) = 6", "Multiply: 7 * 6 = 42", "Divide: 42 / (-5) = -42/5", "Multiply: -9 * (-12) = 108", "Subtract: -42/5 - 108 = -582/5"], "final_answer": "-582/5", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-1 * (-6)) / (-5) - (-9) * (-12)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n (* n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -1, \"c\": -6, \"d\": -5, \"e\": -9, \"f\": -12}", "seed": "6574959250342085195", "semantic_fingerprint": "sha256:fe1dbcf36de566ae1b8534879ea0b85fa97e4c28a8fd06343102c1b56045fbdd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004466", "prompt": "Compute: (-835 - 711) * 169 / (28 - (-536))", "solution_steps": ["Subtract: -835 - 711 = -1546", "Multiply: -1546 * 169 = -261274", "Subtract: 28 - (-536) = 564", "Divide: -261274 / 564 = -130637/282"], "final_answer": "-130637/282", "answer_type": "rational", "kind": "expression", "math_text": "(-835 - 711) * 169 / (28 - (-536))", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -835, \"b\": 711, \"c\": 169, \"d\": 28, \"e\": -536}", "seed": "5056499747341524870", "semantic_fingerprint": "sha256:d2063cd972bf97866072b2df20c4a13bf7fa726edd843a80e476d750dd8932ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004467", "prompt": "Find x: 5x - 237 = 6x - 247", "solution_steps": ["Subtract 6x from both sides: -x - 237 = -247", "Add 237 to both sides: -x = -10", "Divide both sides by -1: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 237 = 6x - 247", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 237, \"c\": 6, \"e\": -247, \"x\": 10}", "seed": "12209049288773934038", "semantic_fingerprint": "sha256:37d8a501ac7c8493fc410104f448c2b5487edad4a62d961bc547261538d32961", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004468", "prompt": "Compute: (884 + 5) / (-75 - 5 + (-21))", "solution_steps": ["Add: 884 + 5 = 889", "Subtract: -75 - 5 = -80", "Add: -80 + (-21) = -101", "Divide: 889 / (-101) = -889/101"], "final_answer": "-889/101", "answer_type": "rational", "kind": "expression", "math_text": "(884 + 5) / (-75 - 5 + (-21))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 884, \"b\": 5, \"c\": -75, \"d\": 5, \"e\": -21}", "seed": "10351475432878597174", "semantic_fingerprint": "sha256:3297723a4163aef33aa51c3520c45490edfe6764dc21563ba0a982722879355d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004469", "prompt": "Find x: 4(x - 8) + 273 = 3(x + 82)", "solution_steps": ["Expand: 4x - 32 + 273 = 3(x + 82)", "Expand: 4x - 32 + 273 = 3x + 246", "Combine constants: 4x + 241 = 3x + 246", "Subtract 3x from both sides: x + 241 = 246", "Subtract 241 from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 8) + 273 = 3(x + 82)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 3, \"d\": 82, \"f\": 273, \"x\": 5}", "seed": "18180794781248286195", "semantic_fingerprint": "sha256:9c151e53078397466aa08f33ad4537fa792274df62eba57b9b843405a1bd43e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004470", "prompt": "Solve for x: 8x = 9(x + 32) - 283", "solution_steps": ["Expand: 8x = 9x + 288 - 283", "Combine constants: 8x = 9x + 5", "Subtract 9x from both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 9(x + 32) - 283", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 32, \"e\": -283, \"x\": -5}", "seed": "2522658317418175276", "semantic_fingerprint": "sha256:033e8ad8baecb2df58c7f01eb2aaa967b8f0965319fedd0ea651c24b18315059", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004471", "prompt": "Compute: -8 - 83 / 79 - 38 / (-64)", "solution_steps": ["Divide: 83 / 79 = 83/79", "Subtract: -8 - 83/79 = -715/79", "Divide: 38 / (-64) = -19/32", "Subtract: -715/79 - (-19/32) = -21379/2528"], "final_answer": "-21379/2528", "answer_type": "rational", "kind": "expression", "math_text": "-8 - 83 / 79 - 38 / (-64)", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 83, \"c\": 79, \"d\": 38, \"e\": -64}", "seed": "8243435684066120816", "semantic_fingerprint": "sha256:6932bb1656d154cd01bc75daf6a6c8c72e74070019efa3a17fe41b7769c2bd11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004472", "prompt": "Calculate: 21 * 64 + (-654) + 37", "solution_steps": ["Multiply: 21 * 64 = 1344", "Add: 1344 + (-654) = 690", "Add: 690 + 37 = 727"], "final_answer": "727", "answer_type": "integer", "kind": "expression", "math_text": "21 * 64 + (-654) + 37", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 64, \"c\": -654, \"d\": 37}", "seed": "9367606237707769490", "semantic_fingerprint": "sha256:e0024eba74bc42646129ae33d212cb86f4739d2f8fdbcacec38c8907dff5e97a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004473", "prompt": "Evaluate: 40 + (11 / (54 * 71) - (-4) * 46)", "solution_steps": ["Multiply: 54 * 71 = 3834", "Divide: 11 / 3834 = 11/3834", "Multiply: -4 * 46 = -184", "Subtract: 11/3834 - (-184) = 705467/3834", "Add: 40 + 705467/3834 = 858827/3834"], "final_answer": "858827/3834", "answer_type": "rational", "kind": "expression", "math_text": "40 + (11 / (54 * 71) - (-4) * 46)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ n (* n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 11, \"c\": 54, \"d\": 71, \"e\": -4, \"f\": 46}", "seed": "3868708436058360273", "semantic_fingerprint": "sha256:3c9e9194d774c9a9b6bdfb67b7643c3c412ff63993637580df9de907faf12db4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004474", "prompt": "Solve for x: -8x = -3(x + 52) - 6", "solution_steps": ["Expand: -8x = -3x - 156 - 6", "Combine constants: -8x = -3x - 162", "Add 3x to both sides: -5x = -162", "Divide both sides by -5: x = 162/5"], "final_answer": "162/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = -3(x + 52) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -3, \"c\": 52, \"d\": 6}", "seed": "13314898531271925314", "semantic_fingerprint": "sha256:31e6b3bda358c64bf3e6fc1fece5e9261ba72b318205323a1266267183888474", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004475", "prompt": "What value of x satisfies -10x = 5(x + 61) - 500?", "solution_steps": ["Expand: -10x = 5x + 305 - 500", "Combine constants: -10x = 5x - 195", "Subtract 5x from both sides: -15x = -195", "Divide both sides by -15: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 5(x + 61) - 500", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 61, \"e\": -500, \"x\": 13}", "seed": "15288975815672545961", "semantic_fingerprint": "sha256:f83e209204b93f4b5f8c996d197f72bd1bac32ba6bcaa6ece37a6eb798ea962c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004476", "prompt": "Find x: 12(x + 3) - 5 = x + 9", "solution_steps": ["Expand: 12x + 36 - 5 = x + 9", "Combine constants: 12x + 31 = x + 9", "Subtract x from both sides: 11x + 31 = 9", "Subtract 31 from both sides: 11x = -22", "Divide both sides by 11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 3) - 5 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 5, \"e\": 9, \"x\": -2}", "seed": "17313426195611452250", "semantic_fingerprint": "sha256:18df0e285470449c62931c78be272d21820a5bbf0458cf9074dd554d74fdcaa0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004477", "prompt": "What value of x satisfies 3x - 49 = 4(x - 8)?", "solution_steps": ["Expand: 3x - 49 = 4x - 32", "Subtract 4x from both sides: -x - 49 = -32", "Add 49 to both sides: -x = 17", "Divide both sides by -1: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 49 = 4(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 8, \"e\": -49, \"x\": -17}", "seed": "4161610930657497577", "semantic_fingerprint": "sha256:1af2f68c5b5c4c3ea65ee2279b9dbbb00e02e0e95448d57c160d34d418f7d0a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004478", "prompt": "Solve for x: 3(x + 40) + 54 = x + 194", "solution_steps": ["Expand: 3x + 120 + 54 = x + 194", "Combine constants: 3x + 174 = x + 194", "Subtract x from both sides: 2x + 174 = 194", "Subtract 174 from both sides: 2x = 20", "Divide both sides by 2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 40) + 54 = x + 194", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 40, \"c\": 54, \"e\": 194, \"x\": 10}", "seed": "5677853303466475043", "semantic_fingerprint": "sha256:6687884e7b70fc4ab00c632f5dba3b33e03a17ef1ff70b079fed886b5ffaa30c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004479", "prompt": "Compute: -554 * (-5 * (-52)) + 97", "solution_steps": ["Multiply: -5 * (-52) = 260", "Multiply: -554 * 260 = -144040", "Add: -144040 + 97 = -143943"], "final_answer": "-143943", "answer_type": "integer", "kind": "expression", "math_text": "-554 * (-5 * (-52)) + 97", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -554, \"b\": -5, \"c\": -52, \"d\": 97}", "seed": "1900961723266470104", "semantic_fingerprint": "sha256:5aeb81809e49c48338fec81ed22c6b061ae505c9394d97452b984a1fd6f74c4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004480", "prompt": "What is 0 - 328 + (-63 * 764 + 801)?", "solution_steps": ["Subtract: 0 - 328 = -328", "Multiply: -63 * 764 = -48132", "Add: -48132 + 801 = -47331", "Add: -328 + (-47331) = -47659"], "final_answer": "-47659", "answer_type": "integer", "kind": "expression", "math_text": "0 - 328 + (-63 * 764 + 801)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 328, \"c\": -63, \"d\": 764, \"e\": 801}", "seed": "18311120835181752297", "semantic_fingerprint": "sha256:04e34c0f73f1a8e85f8206654597c124b2f5ecf9498b996580eb9110c7feba18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004481", "prompt": "Calculate: (-8 + 4) / (-809) + 742", "solution_steps": ["Add: -8 + 4 = -4", "Divide: -4 / (-809) = 4/809", "Add: 4/809 + 742 = 600282/809"], "final_answer": "600282/809", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 4) / (-809) + 742", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": -809, \"d\": 742}", "seed": "247497041498368586", "semantic_fingerprint": "sha256:70294ece76352ed229f86ee6021b5a3f068e2e7a90158e4fe8958299b8ab3ba9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004482", "prompt": "Calculate: -1 / (-113) / (-6 / (-33)) * 8", "solution_steps": ["Divide: -1 / (-113) = 1/113", "Divide: -6 / (-33) = 2/11", "Divide: (1/113) / (2/11) = 11/226", "Multiply: (11/226) * 8 = 44/113"], "final_answer": "44/113", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-113) / (-6 / (-33)) * 8", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -113, \"c\": -6, \"d\": -33, \"e\": 8}", "seed": "922428822370664010", "semantic_fingerprint": "sha256:20a8687394596a53834d625e36f3589bfeed93c1829f9ecbd9be5a45d13766b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004483", "prompt": "Calculate: -19 * (-849) + (-7) * 223", "solution_steps": ["Multiply: -19 * (-849) = 16131", "Multiply: -7 * 223 = -1561", "Add: 16131 + (-1561) = 14570"], "final_answer": "14570", "answer_type": "integer", "kind": "expression", "math_text": "-19 * (-849) + (-7) * 223", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -849, \"c\": -7, \"d\": 223}", "seed": "81123430073907558", "semantic_fingerprint": "sha256:021b88df8cad861ad90580ebbcc27cad47421edb8961b965571a77a8120ac892", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004484", "prompt": "What is -6 * (-9) * (34 / (-2))?", "solution_steps": ["Multiply: -6 * (-9) = 54", "Divide: 34 / (-2) = -17", "Multiply: 54 * (-17) = -918"], "final_answer": "-918", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-9) * (34 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": 34, \"d\": -2}", "seed": "13048481481392167721", "semantic_fingerprint": "sha256:eba8622cd5f5334a2c81f4eae535bdf175770d4f16686d624156bc90e1fe5bfd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004485", "prompt": "Evaluate: 76 * 721 * (87 / (-7))", "solution_steps": ["Multiply: 76 * 721 = 54796", "Divide: 87 / (-7) = -87/7", "Multiply: 54796 * (-87/7) = -681036"], "final_answer": "-681036", "answer_type": "integer", "kind": "expression", "math_text": "76 * 721 * (87 / (-7))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 721, \"c\": 87, \"d\": -7}", "seed": "18109228924868636745", "semantic_fingerprint": "sha256:63a5eadbb296d4e6461c02be635d74eb8fab4491228e7f82655c2f51790a0e76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004486", "prompt": "Solve for x: -11x - 77 = -12(x - 875)", "solution_steps": ["Expand: -11x - 77 = -12x + 10500", "Add 12x to both sides: x - 77 = 10500", "Add 77 to both sides: x = 10577"], "final_answer": "10577", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 77 = -12(x - 875)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 77, \"c\": -12, \"d\": 875}", "seed": "16168911811938254111", "semantic_fingerprint": "sha256:a2018b1199ca80fc640183315936e87775a2e3b1bdea32c704feb0a2b8663e18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004487", "prompt": "Compute: 1 * (-754) + 964 * 0", "solution_steps": ["Multiply: 1 * (-754) = -754", "Multiply: 964 * 0 = 0", "Add: -754 + 0 = -754"], "final_answer": "-754", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-754) + 964 * 0", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -754, \"c\": 964, \"d\": 0}", "seed": "5738103583776378910", "semantic_fingerprint": "sha256:a9ce173b1b5f765129e5020f22d1e4a72cb4be4d2871d9ad3258c1149e07086b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004488", "prompt": "Solve the equation -2(x + 1) + 1 = x + 26 for x.", "solution_steps": ["Expand: -2x - 2 + 1 = x + 26", "Combine constants: -2x - 1 = x + 26", "Subtract x from both sides: -3x - 1 = 26", "Add 1 to both sides: -3x = 27", "Divide both sides by -3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 1) + 1 = x + 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"c\": 1, \"e\": 26, \"x\": -9}", "seed": "5957072955697623244", "semantic_fingerprint": "sha256:8a0ee24a12d97ee723867161e8d2fc9247f1e958d2bb3334991879d2feea3269", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004489", "prompt": "What value of x satisfies 9x - 51 = 6x - 6?", "solution_steps": ["Subtract 6x from both sides: 3x - 51 = -6", "Add 51 to both sides: 3x = 45", "Divide both sides by 3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 51 = 6x - 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 51, \"c\": 6, \"e\": -6, \"x\": 15}", "seed": "2260331575218378141", "semantic_fingerprint": "sha256:51e64cca40edebbcdef6959db1484073f151677ebf0f38f5ccbc92f46a32e269", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004490", "prompt": "Compute: -367 * (-41 + (-921)) + (0 + 5)", "solution_steps": ["Add: -41 + (-921) = -962", "Multiply: -367 * (-962) = 353054", "Add: 0 + 5 = 5", "Add: 353054 + 5 = 353059"], "final_answer": "353059", "answer_type": "integer", "kind": "expression", "math_text": "-367 * (-41 + (-921)) + (0 + 5)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -367, \"b\": -41, \"c\": -921, \"d\": 0, \"e\": 5}", "seed": "13592259455712678115", "semantic_fingerprint": "sha256:eb120d5301b5c4af4dc6ee55d198fd14f3bdefdb429eaa6b343ffbe8d3681478", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004491", "prompt": "Solve the equation 4(x - 90) + 9 = -4(x + 6) for x.", "solution_steps": ["Expand: 4x - 360 + 9 = -4(x + 6)", "Expand: 4x - 360 + 9 = -4x - 24", "Combine constants: 4x - 351 = -4x - 24", "Add 4x to both sides: 8x - 351 = -24", "Add 351 to both sides: 8x = 327", "Divide both sides by 8: x = 327/8"], "final_answer": "327/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 90) + 9 = -4(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 90, \"c\": 9, \"d\": -4, \"e\": 6}", "seed": "4920562059197682114", "semantic_fingerprint": "sha256:e43cd170a13288bfa223c0ab34a6a1d07c92c034ceccc168e3fc448333156b9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004492", "prompt": "Calculate: -416 * (-17) + (-824) * 927", "solution_steps": ["Multiply: -416 * (-17) = 7072", "Multiply: -824 * 927 = -763848", "Add: 7072 + (-763848) = -756776"], "final_answer": "-756776", "answer_type": "integer", "kind": "expression", "math_text": "-416 * (-17) + (-824) * 927", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -416, \"b\": -17, \"c\": -824, \"d\": 927}", "seed": "3158208873552040670", "semantic_fingerprint": "sha256:6778c5a4b399e2d6618f1fbfd7ad1abd734ed7a34f850a907dc16b91ea96f930", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004493", "prompt": "Solve for x: -3x = 4(x + 9) + 55", "solution_steps": ["Expand: -3x = 4x + 36 + 55", "Combine constants: -3x = 4x + 91", "Subtract 4x from both sides: -7x = 91", "Divide both sides by -7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = 4(x + 9) + 55", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 9, \"e\": 55, \"x\": -13}", "seed": "6624310836014398654", "semantic_fingerprint": "sha256:047b1d0498b0e79983dfb65fb700edc1be2c6f8ffcaeff869a6efa4898d5b932", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004494", "prompt": "Compute: -15 + (-3) + (116 - (-230) - (-37))", "solution_steps": ["Add: -15 + (-3) = -18", "Subtract: 116 - (-230) = 346", "Subtract: 346 - (-37) = 383", "Add: -18 + 383 = 365"], "final_answer": "365", "answer_type": "integer", "kind": "expression", "math_text": "-15 + (-3) + (116 - (-230) - (-37))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -3, \"c\": 116, \"d\": -230, \"e\": -37}", "seed": "909906741168296972", "semantic_fingerprint": "sha256:d70accc3ec913167135e03d4f1516181e9e0f3266eda9d81204845726de6c047", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004495", "prompt": "What value of x satisfies 5(x + 6) = 12(x - 48) + 739?", "solution_steps": ["Expand: 5x + 30 = 12(x - 48) + 739", "Expand: 5x + 30 = 12x - 576 + 739", "Combine constants: 5x + 30 = 12x + 163", "Subtract 12x from both sides: -7x + 30 = 163", "Subtract 30 from both sides: -7x = 133", "Divide both sides by -7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 6) = 12(x - 48) + 739", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 12, \"d\": 48, \"f\": 739, \"x\": -19}", "seed": "16172971101400091620", "semantic_fingerprint": "sha256:80b2c9e8128c2b1e1b027ee37f0a7f158bbe15fc1a3ab8e7dc41589600976710", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004496", "prompt": "Solve for x: 7(x + 60) + 10 = x + 436", "solution_steps": ["Expand: 7x + 420 + 10 = x + 436", "Combine constants: 7x + 430 = x + 436", "Subtract x from both sides: 6x + 430 = 436", "Subtract 430 from both sides: 6x = 6", "Divide both sides by 6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 60) + 10 = x + 436", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 60, \"c\": 10, \"e\": 436, \"x\": 1}", "seed": "6400873397690708292", "semantic_fingerprint": "sha256:39eb26f0d5a5ab80c8f402f735891def56965ae2540435a9ccdc12009d7df7e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004497", "prompt": "What value of x satisfies 7x = -8(x + 76) - 7?", "solution_steps": ["Expand: 7x = -8x - 608 - 7", "Combine constants: 7x = -8x - 615", "Add 8x to both sides: 15x = -615", "Divide both sides by 15: x = -41"], "final_answer": "-41", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -8(x + 76) - 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 76, \"d\": 7}", "seed": "8027412001089842483", "semantic_fingerprint": "sha256:da536dca11bfa694724e06a32fec0088c8fe65ca262099503cc7df2c78120d86", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004498", "prompt": "What is (-320 - 7 * (-7)) / (-25)?", "solution_steps": ["Multiply: 7 * (-7) = -49", "Subtract: -320 - (-49) = -271", "Divide: -271 / (-25) = 271/25"], "final_answer": "271/25", "answer_type": "rational", "kind": "expression", "math_text": "(-320 - 7 * (-7)) / (-25)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -320, \"b\": 7, \"c\": -7, \"d\": -25}", "seed": "16976545342783548068", "semantic_fingerprint": "sha256:a94e80df34ddbc0572b1d9b79787dec95312c43aaa3e242d4c8af04d2ab47918", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004499", "prompt": "Compute: -209 - 8 / (-4) - (-269)", "solution_steps": ["Divide: 8 / (-4) = -2", "Subtract: -209 - (-2) = -207", "Subtract: -207 - (-269) = 62"], "final_answer": "62", "answer_type": "integer", "kind": "expression", "math_text": "-209 - 8 / (-4) - (-269)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -209, \"b\": 8, \"c\": -4, \"d\": -269}", "seed": "12134093486222678486", "semantic_fingerprint": "sha256:cf8504e3c34029ef2e81e61d5090aeff02d93acb8a1ef47f914ce9244f6d7167", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004500", "prompt": "Compute: -565 / 53 / 7 - 4", "solution_steps": ["Divide: -565 / 53 = -565/53", "Divide: (-565/53) / 7 = -565/371", "Subtract: -565/371 - 4 = -2049/371"], "final_answer": "-2049/371", "answer_type": "rational", "kind": "expression", "math_text": "-565 / 53 / 7 - 4", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -565, \"b\": 53, \"c\": 7, \"d\": 4}", "seed": "15262203675026488323", "semantic_fingerprint": "sha256:083bafa97df033132ab2cad8a18dcce85600548a942cfc5c79de1c57fa17ac27", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004501", "prompt": "Solve for x: 9(x + 31) + 85 = x + 50", "solution_steps": ["Expand: 9x + 279 + 85 = x + 50", "Combine constants: 9x + 364 = x + 50", "Subtract x from both sides: 8x + 364 = 50", "Subtract 364 from both sides: 8x = -314", "Divide both sides by 8: x = -157/4"], "final_answer": "-157/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 31) + 85 = x + 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 31, \"c\": 85, \"d\": 50}", "seed": "18005779853692825303", "semantic_fingerprint": "sha256:e9260dd281a07d3af0e5ed1b73d62f77ab659aaeb37d0f2afcc7701a50064d2a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004502", "prompt": "Evaluate: -5 * 2 + (-63) + (9 + (-282)) / (-3)", "solution_steps": ["Multiply: -5 * 2 = -10", "Add: -10 + (-63) = -73", "Add: 9 + (-282) = -273", "Divide: -273 / (-3) = 91", "Add: -73 + 91 = 18"], "final_answer": "18", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 2 + (-63) + (9 + (-282)) / (-3)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": -63, \"d\": 9, \"e\": -282, \"f\": -3}", "seed": "686033361610384632", "semantic_fingerprint": "sha256:d49113c2c1ae7bde330f3f46e8ae819c3b3df59bc66d16b4ad11438b5541ab44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004503", "prompt": "Evaluate: -910 - (-71 + 5 + 837) - 7 - 581", "solution_steps": ["Add: -71 + 5 = -66", "Add: -66 + 837 = 771", "Subtract: -910 - 771 = -1681", "Subtract: -1681 - 7 = -1688", "Subtract: -1688 - 581 = -2269"], "final_answer": "-2269", "answer_type": "integer", "kind": "expression", "math_text": "-910 - (-71 + 5 + 837) - 7 - 581", "variable": null, "family": "expression_5op", "shape": "(- (- (- n (+ (+ n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -910, \"b\": -71, \"c\": 5, \"d\": 837, \"e\": 7, \"f\": 581}", "seed": "9806644271863880397", "semantic_fingerprint": "sha256:238cafca58c1a7fd7730406c951e707626d864a30d353d43b304812685bc5b05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004504", "prompt": "Evaluate: -20 * (23 - 0) * (-8 - (0 + 65))", "solution_steps": ["Subtract: 23 - 0 = 23", "Multiply: -20 * 23 = -460", "Add: 0 + 65 = 65", "Subtract: -8 - 65 = -73", "Multiply: -460 * (-73) = 33580"], "final_answer": "33580", "answer_type": "integer", "kind": "expression", "math_text": "-20 * (23 - 0) * (-8 - (0 + 65))", "variable": null, "family": "expression_5op", "shape": "(* (* n (- n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 23, \"c\": 0, \"d\": -8, \"e\": 0, \"f\": 65}", "seed": "11420925197321318337", "semantic_fingerprint": "sha256:a3b1a4861b57db9a9de6f3ee6ca63b83a36bc98f475f23ed58fbe11f8513c949", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004505", "prompt": "Evaluate: 88 / (-3 / (96 - 648)) - (-923)", "solution_steps": ["Subtract: 96 - 648 = -552", "Divide: -3 / (-552) = 1/184", "Divide: 88 / (1/184) = 16192", "Subtract: 16192 - (-923) = 17115"], "final_answer": "17115", "answer_type": "integer", "kind": "expression", "math_text": "88 / (-3 / (96 - 648)) - (-923)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -3, \"c\": 96, \"d\": 648, \"e\": -923}", "seed": "6863900069600989019", "semantic_fingerprint": "sha256:8d668dedbd9e420e0ef82b6d825ce3920fe6bc7f92a24466e89cf5761adfda08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004506", "prompt": "Calculate: (5 + 963) * (1 - (7 - (-9)))", "solution_steps": ["Add: 5 + 963 = 968", "Subtract: 7 - (-9) = 16", "Subtract: 1 - 16 = -15", "Multiply: 968 * (-15) = -14520"], "final_answer": "-14520", "answer_type": "integer", "kind": "expression", "math_text": "(5 + 963) * (1 - (7 - (-9)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 963, \"c\": 1, \"d\": 7, \"e\": -9}", "seed": "6336035942623952105", "semantic_fingerprint": "sha256:f5a985aeeaabd9e742d02f958dc3d97675abc7af223405e535c6bdbbf9bdefe0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004507", "prompt": "Evaluate: -49 / (2 * (-2)) / (-68 * 15)", "solution_steps": ["Multiply: 2 * (-2) = -4", "Divide: -49 / (-4) = 49/4", "Multiply: -68 * 15 = -1020", "Divide: (49/4) / (-1020) = -49/4080"], "final_answer": "-49/4080", "answer_type": "rational", "kind": "expression", "math_text": "-49 / (2 * (-2)) / (-68 * 15)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 2, \"c\": -2, \"d\": -68, \"e\": 15}", "seed": "4800221533246504469", "semantic_fingerprint": "sha256:666c3003e13240e179624b7ba69e85d7550fb3d5d5b5b3aea0bc67203247029b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004508", "prompt": "Solve for x: 7x - 267 = 5x - 281", "solution_steps": ["Subtract 5x from both sides: 2x - 267 = -281", "Add 267 to both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 267 = 5x - 281", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 267, \"c\": 5, \"e\": -281, \"x\": -7}", "seed": "12252173428046720347", "semantic_fingerprint": "sha256:8980b727531b252c4818cc9d62b8c74bdabc6f2e2e6e77020bfe8c6a00ed440c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004509", "prompt": "Evaluate: 76 * (0 * 0) * 140", "solution_steps": ["Multiply: 0 * 0 = 0", "Multiply: 76 * 0 = 0", "Multiply: 0 * 140 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "76 * (0 * 0) * 140", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 0, \"c\": 0, \"d\": 140}", "seed": "687658848239262451", "semantic_fingerprint": "sha256:696b53595924adcb14f9f1f19d6b7e3cb00bc7d9ff8d51c7d1d2c43f4d2015a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004510", "prompt": "What value of x satisfies 11x = 6(x + 15) - 90?", "solution_steps": ["Expand: 11x = 6x + 90 - 90", "Combine constants: 11x = 6x", "Subtract 6x from both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 6(x + 15) - 90", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 15, \"e\": -90, \"x\": 0}", "seed": "14208877074273146868", "semantic_fingerprint": "sha256:f024114452168b0f54c1edca361e7c185ffc71fa1c4c1f7ea6896b37d9ccf9cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004511", "prompt": "Evaluate: 96 * (-404 * (-2)) + 74", "solution_steps": ["Multiply: -404 * (-2) = 808", "Multiply: 96 * 808 = 77568", "Add: 77568 + 74 = 77642"], "final_answer": "77642", "answer_type": "integer", "kind": "expression", "math_text": "96 * (-404 * (-2)) + 74", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -404, \"c\": -2, \"d\": 74}", "seed": "12387824376522377902", "semantic_fingerprint": "sha256:4c5b6c8dae832cdbed784c41094232a949d84cde146a95e3c73345b5614674c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004512", "prompt": "What value of x satisfies 4x - 57 = 6(x - 78)?", "solution_steps": ["Expand: 4x - 57 = 6x - 468", "Subtract 6x from both sides: -2x - 57 = -468", "Add 57 to both sides: -2x = -411", "Divide both sides by -2: x = 411/2"], "final_answer": "411/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 57 = 6(x - 78)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 57, \"c\": 6, \"d\": 78}", "seed": "4363002638369000641", "semantic_fingerprint": "sha256:dd79a50a7dc118177e30f8cf6326d3854aa645406f7a7c6f524545563ea200c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004513", "prompt": "What is 66 + (-5) * (-510) + (-6 + (-621) - 38)?", "solution_steps": ["Multiply: -5 * (-510) = 2550", "Add: 66 + 2550 = 2616", "Add: -6 + (-621) = -627", "Subtract: -627 - 38 = -665", "Add: 2616 + (-665) = 1951"], "final_answer": "1951", "answer_type": "integer", "kind": "expression", "math_text": "66 + (-5) * (-510) + (-6 + (-621) - 38)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -5, \"c\": -510, \"d\": -6, \"e\": -621, \"f\": 38}", "seed": "1114836024765021391", "semantic_fingerprint": "sha256:cba018f0f6a860204c4786532d1137af02c2b46aacef07b3846dc523cb3e93f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004514", "prompt": "What is (-147 + 4 - 5) * (-31 / 75 * 63)?", "solution_steps": ["Add: -147 + 4 = -143", "Subtract: -143 - 5 = -148", "Divide: -31 / 75 = -31/75", "Multiply: (-31/75) * 63 = -651/25", "Multiply: -148 * (-651/25) = 96348/25"], "final_answer": "96348/25", "answer_type": "rational", "kind": "expression", "math_text": "(-147 + 4 - 5) * (-31 / 75 * 63)", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -147, \"b\": 4, \"c\": 5, \"d\": -31, \"e\": 75, \"f\": 63}", "seed": "15480845873446082255", "semantic_fingerprint": "sha256:b33d729f920515a56a11b1de2741497294577399f313baf632fe48de5f04fab1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004515", "prompt": "What is (16 + 18) * 6 - (0 - 777)?", "solution_steps": ["Add: 16 + 18 = 34", "Multiply: 34 * 6 = 204", "Subtract: 0 - 777 = -777", "Subtract: 204 - (-777) = 981"], "final_answer": "981", "answer_type": "integer", "kind": "expression", "math_text": "(16 + 18) * 6 - (0 - 777)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 18, \"c\": 6, \"d\": 0, \"e\": 777}", "seed": "16727273090280821923", "semantic_fingerprint": "sha256:ffc36e8d28a2f19168c306e984bb69a075e57c8cb8792596b8440997b0944696", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004516", "prompt": "Solve for x: 10x = 3(x + 37) + 1", "solution_steps": ["Expand: 10x = 3x + 111 + 1", "Combine constants: 10x = 3x + 112", "Subtract 3x from both sides: 7x = 112", "Divide both sides by 7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 3(x + 37) + 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 37, \"e\": 1, \"x\": 16}", "seed": "1788593585370683854", "semantic_fingerprint": "sha256:bfa3a7f555adf403001958d8400b2a3cea1a1811da1fa08d84adb40634694ed9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004517", "prompt": "Solve for x: 2(x + 24) - 7 = x + 27", "solution_steps": ["Expand: 2x + 48 - 7 = x + 27", "Combine constants: 2x + 41 = x + 27", "Subtract x from both sides: x + 41 = 27", "Subtract 41 from both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 24) - 7 = x + 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 24, \"c\": 7, \"e\": 27, \"x\": -14}", "seed": "9472930197949209812", "semantic_fingerprint": "sha256:6f10ab66b3fff144ab3ea1cc57cb37b755171d4f99aa7caf6fcdf45d8e1affbf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004518", "prompt": "Compute: -3 - 714 / (-8) + 61 - (-154)", "solution_steps": ["Divide: 714 / (-8) = -357/4", "Subtract: -3 - (-357/4) = 345/4", "Add: 345/4 + 61 = 589/4", "Subtract: 589/4 - (-154) = 1205/4"], "final_answer": "1205/4", "answer_type": "rational", "kind": "expression", "math_text": "-3 - 714 / (-8) + 61 - (-154)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 714, \"c\": -8, \"d\": 61, \"e\": -154}", "seed": "8240568343113212319", "semantic_fingerprint": "sha256:bf37887ea4c7b956590b7c7b819de961cd91720ac98b9e69a782d40f06201bec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004519", "prompt": "Calculate: -8 / 51 * (-50 - 56 - 5)", "solution_steps": ["Divide: -8 / 51 = -8/51", "Subtract: -50 - 56 = -106", "Subtract: -106 - 5 = -111", "Multiply: (-8/51) * (-111) = 296/17"], "final_answer": "296/17", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 51 * (-50 - 56 - 5)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 51, \"c\": -50, \"d\": 56, \"e\": 5}", "seed": "18421016648885684742", "semantic_fingerprint": "sha256:de083c83365a271f01c8b1d5047f5eb39123bb8c2c31854adf24782c8d79deb7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004520", "prompt": "What is (-3 - 584) * (542 / (-82)) - 89?", "solution_steps": ["Subtract: -3 - 584 = -587", "Divide: 542 / (-82) = -271/41", "Multiply: -587 * (-271/41) = 159077/41", "Subtract: 159077/41 - 89 = 155428/41"], "final_answer": "155428/41", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 584) * (542 / (-82)) - 89", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 584, \"c\": 542, \"d\": -82, \"e\": 89}", "seed": "16233378954062910814", "semantic_fingerprint": "sha256:57c4fdb8ea0f6af553acadba0b05698d4a347aea60b6aec0702197cf5a0f170f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004521", "prompt": "Solve for x: -7(x - 1) + 359 = 12(x + 2)", "solution_steps": ["Expand: -7x + 7 + 359 = 12(x + 2)", "Expand: -7x + 7 + 359 = 12x + 24", "Combine constants: -7x + 366 = 12x + 24", "Subtract 12x from both sides: -19x + 366 = 24", "Subtract 366 from both sides: -19x = -342", "Divide both sides by -19: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 1) + 359 = 12(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 12, \"d\": 2, \"f\": 359, \"x\": 18}", "seed": "10310721766481846760", "semantic_fingerprint": "sha256:e407dc6fbfe94afd136ac7997a8b6558368958a6ea485ced67cc89a4773b6fc2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004522", "prompt": "Calculate: -8 + (-9) + 239 * (-604 + 0)", "solution_steps": ["Add: -8 + (-9) = -17", "Add: -604 + 0 = -604", "Multiply: 239 * (-604) = -144356", "Add: -17 + (-144356) = -144373"], "final_answer": "-144373", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-9) + 239 * (-604 + 0)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -9, \"c\": 239, \"d\": -604, \"e\": 0}", "seed": "3908029463505306144", "semantic_fingerprint": "sha256:286494dbdbc9140997c3ca968fe93379725de8a1f7d7ce38701d269284b5c4d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004523", "prompt": "Compute: 65 / ((79 - (-236)) / (-687)) / (2 / 4)", "solution_steps": ["Subtract: 79 - (-236) = 315", "Divide: 315 / (-687) = -105/229", "Divide: 65 / (-105/229) = -2977/21", "Divide: 2 / 4 = 1/2", "Divide: (-2977/21) / (1/2) = -5954/21"], "final_answer": "-5954/21", "answer_type": "rational", "kind": "expression", "math_text": "65 / ((79 - (-236)) / (-687)) / (2 / 4)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (/ (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 79, \"c\": -236, \"d\": -687, \"e\": 2, \"f\": 4}", "seed": "6745541182285673765", "semantic_fingerprint": "sha256:879498c2d16484c615e576da3763e17c0c59ffdd3b7e4b474b64375ade7b4fb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004524", "prompt": "What is -30 / (-58 + (-677 / (-3) - 87 + 7))?", "solution_steps": ["Divide: -677 / (-3) = 677/3", "Subtract: 677/3 - 87 = 416/3", "Add: 416/3 + 7 = 437/3", "Add: -58 + 437/3 = 263/3", "Divide: -30 / (263/3) = -90/263"], "final_answer": "-90/263", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (-58 + (-677 / (-3) - 87 + 7))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (+ (- (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -58, \"c\": -677, \"d\": -3, \"e\": 87, \"f\": 7}", "seed": "9083800965882437046", "semantic_fingerprint": "sha256:aae90129307ea1b19c16cd21ad094aa2a3640c2bf0223be3124c09a5287f3207", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004525", "prompt": "What is -88 * (-6) * (8 / 6)?", "solution_steps": ["Multiply: -88 * (-6) = 528", "Divide: 8 / 6 = 4/3", "Multiply: 528 * (4/3) = 704"], "final_answer": "704", "answer_type": "integer", "kind": "expression", "math_text": "-88 * (-6) * (8 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -6, \"c\": 8, \"d\": 6}", "seed": "6679797842965727601", "semantic_fingerprint": "sha256:51ab5b91b52161ba5db119c0076b88aef81788d33edfed9fd5425aafd993edf5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004526", "prompt": "Solve for x: 2x = 3(x + 82) - 254", "solution_steps": ["Expand: 2x = 3x + 246 - 254", "Combine constants: 2x = 3x - 8", "Subtract 3x from both sides: -x = -8", "Divide both sides by -1: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 3(x + 82) - 254", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 82, \"e\": -254, \"x\": 8}", "seed": "9282400799008958240", "semantic_fingerprint": "sha256:607b1643789b1e97e2f4cc190f66454e793dc3ac3c4b031d675b3fba4bef0917", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004527", "prompt": "Compute: 210 + (88 - (-81)) + 4", "solution_steps": ["Subtract: 88 - (-81) = 169", "Add: 210 + 169 = 379", "Add: 379 + 4 = 383"], "final_answer": "383", "answer_type": "integer", "kind": "expression", "math_text": "210 + (88 - (-81)) + 4", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 210, \"b\": 88, \"c\": -81, \"d\": 4}", "seed": "6334101675581205931", "semantic_fingerprint": "sha256:a575909340e1e7637ff1660588ebf4c1e3cd2846135094bcbb52495495ddb282", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004528", "prompt": "Solve the equation 11(x + 54) = 12(x - 3) + 641 for x.", "solution_steps": ["Expand: 11x + 594 = 12(x - 3) + 641", "Expand: 11x + 594 = 12x - 36 + 641", "Combine constants: 11x + 594 = 12x + 605", "Subtract 12x from both sides: -x + 594 = 605", "Subtract 594 from both sides: -x = 11", "Divide both sides by -1: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 54) = 12(x - 3) + 641", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 54, \"c\": 12, \"d\": 3, \"f\": 641, \"x\": -11}", "seed": "13369152955930117420", "semantic_fingerprint": "sha256:f742dbc3133a3984f2686f4de3d20561477f3b63e00f1e26c17f2f7dc1e47ea0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004529", "prompt": "What is -14 * 8 / (-53) + (-518 - 6)?", "solution_steps": ["Multiply: -14 * 8 = -112", "Divide: -112 / (-53) = 112/53", "Subtract: -518 - 6 = -524", "Add: 112/53 + (-524) = -27660/53"], "final_answer": "-27660/53", "answer_type": "rational", "kind": "expression", "math_text": "-14 * 8 / (-53) + (-518 - 6)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 8, \"c\": -53, \"d\": -518, \"e\": 6}", "seed": "12950552265809653284", "semantic_fingerprint": "sha256:51c5a6a2766c127c4e5470291d90733b682fa6963d3de165c04c7816551b77d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004530", "prompt": "Evaluate: (-48 + (-10)) / (36 - 74 + (-53))", "solution_steps": ["Add: -48 + (-10) = -58", "Subtract: 36 - 74 = -38", "Add: -38 + (-53) = -91", "Divide: -58 / (-91) = 58/91"], "final_answer": "58/91", "answer_type": "rational", "kind": "expression", "math_text": "(-48 + (-10)) / (36 - 74 + (-53))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -10, \"c\": 36, \"d\": 74, \"e\": -53}", "seed": "11665536104022158969", "semantic_fingerprint": "sha256:ecbf547816f3d4f9276c558d17dcabb109c4f0da4f7ccd416dc4a6b805623ba8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004531", "prompt": "Compute: -8 * (3 * (-4)) * 605", "solution_steps": ["Multiply: 3 * (-4) = -12", "Multiply: -8 * (-12) = 96", "Multiply: 96 * 605 = 58080"], "final_answer": "58080", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (3 * (-4)) * 605", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": -4, \"d\": 605}", "seed": "4749577764977099943", "semantic_fingerprint": "sha256:472f8a83c4c50a1f373eed9974b00019634476bf030ab822c32e8b47a0ccd485", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004532", "prompt": "Evaluate: 5 * 52 + (3 - (-25) + (0 + (-510)))", "solution_steps": ["Multiply: 5 * 52 = 260", "Subtract: 3 - (-25) = 28", "Add: 0 + (-510) = -510", "Add: 28 + (-510) = -482", "Add: 260 + (-482) = -222"], "final_answer": "-222", "answer_type": "integer", "kind": "expression", "math_text": "5 * 52 + (3 - (-25) + (0 + (-510)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 52, \"c\": 3, \"d\": -25, \"e\": 0, \"f\": -510}", "seed": "2554666678572341295", "semantic_fingerprint": "sha256:1639168569c5e8aa4edbe6869a0ccbbf4cd2e0b4dd1dfea06d6dfe59fdc58799", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004533", "prompt": "Find x: 4(x - 18) + 122 = -2(x + 8)", "solution_steps": ["Expand: 4x - 72 + 122 = -2(x + 8)", "Expand: 4x - 72 + 122 = -2x - 16", "Combine constants: 4x + 50 = -2x - 16", "Add 2x to both sides: 6x + 50 = -16", "Subtract 50 from both sides: 6x = -66", "Divide both sides by 6: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 18) + 122 = -2(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 18, \"c\": -2, \"d\": 8, \"f\": 122, \"x\": -11}", "seed": "8050794705168886192", "semantic_fingerprint": "sha256:befe580aa56361eb441f7da2ad22ad0a2df6c74959bc8c2feb6867b18dd93e5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004534", "prompt": "Find x: 5x = 12(x + 86) - 2", "solution_steps": ["Expand: 5x = 12x + 1032 - 2", "Combine constants: 5x = 12x + 1030", "Subtract 12x from both sides: -7x = 1030", "Divide both sides by -7: x = -1030/7"], "final_answer": "-1030/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 12(x + 86) - 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 86, \"d\": 2}", "seed": "7678247978813300844", "semantic_fingerprint": "sha256:2b1f03d2f68d71bfd351e49bc4a3039c333f136e49d6beb81862e6ada926043c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004535", "prompt": "Compute: 3 + (-2) / (-9 * (489 + 6) / (-6))", "solution_steps": ["Add: 489 + 6 = 495", "Multiply: -9 * 495 = -4455", "Divide: -4455 / (-6) = 1485/2", "Divide: -2 / (1485/2) = -4/1485", "Add: 3 + (-4/1485) = 4451/1485"], "final_answer": "4451/1485", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-2) / (-9 * (489 + 6) / (-6))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (/ (* n (+ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": -9, \"d\": 489, \"e\": 6, \"f\": -6}", "seed": "7370273042336016621", "semantic_fingerprint": "sha256:6ccbc7b26d2ddb61b1b224e54ccd0c3f4830e89b87f59ac4b7b54db0dc85eed7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004536", "prompt": "Calculate: (734 - (-6) - (-768)) * (-8)", "solution_steps": ["Subtract: 734 - (-6) = 740", "Subtract: 740 - (-768) = 1508", "Multiply: 1508 * (-8) = -12064"], "final_answer": "-12064", "answer_type": "integer", "kind": "expression", "math_text": "(734 - (-6) - (-768)) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 734, \"b\": -6, \"c\": -768, \"d\": -8}", "seed": "15557512970873176718", "semantic_fingerprint": "sha256:0908a64763f461078bbaa24db9b0a5c295a1509309a51ab74bcef7285d517a5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004537", "prompt": "Solve the equation 6x = 11(x + 8) + 62 for x.", "solution_steps": ["Expand: 6x = 11x + 88 + 62", "Combine constants: 6x = 11x + 150", "Subtract 11x from both sides: -5x = 150", "Divide both sides by -5: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 11(x + 8) + 62", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"c\": 8, \"d\": 62}", "seed": "14226074557086899584", "semantic_fingerprint": "sha256:b234b82fbf4b54c3e00e71fb6ea3ab31f0bd3b86da953b81e725e43498a0c11b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004538", "prompt": "Calculate: 60 / (9 - (-48)) - (-52 - 7)", "solution_steps": ["Subtract: 9 - (-48) = 57", "Divide: 60 / 57 = 20/19", "Subtract: -52 - 7 = -59", "Subtract: 20/19 - (-59) = 1141/19"], "final_answer": "1141/19", "answer_type": "rational", "kind": "expression", "math_text": "60 / (9 - (-48)) - (-52 - 7)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 9, \"c\": -48, \"d\": -52, \"e\": 7}", "seed": "6741374791276475118", "semantic_fingerprint": "sha256:e7dcc504a7030da2fc786a4146a49bde9578979843a9d2cf79988d1c0e7d8c7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004539", "prompt": "What value of x satisfies 12(x - 1) - 5 = x + 159?", "solution_steps": ["Expand: 12x - 12 - 5 = x + 159", "Combine constants: 12x - 17 = x + 159", "Subtract x from both sides: 11x - 17 = 159", "Add 17 to both sides: 11x = 176", "Divide both sides by 11: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 1) - 5 = x + 159", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 5, \"e\": 159, \"x\": 16}", "seed": "7743287737007601153", "semantic_fingerprint": "sha256:3efbf359fd547dd81c1b43d62f148924d82da7928f7bd80f00d417c5012c327f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004540", "prompt": "What value of x satisfies 3(x + 1) - 6 = x + 33?", "solution_steps": ["Expand: 3x + 3 - 6 = x + 33", "Combine constants: 3x - 3 = x + 33", "Subtract x from both sides: 2x - 3 = 33", "Add 3 to both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 1) - 6 = x + 33", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 6, \"e\": 33, \"x\": 18}", "seed": "11663854055779191273", "semantic_fingerprint": "sha256:99eecf8553dff41c60bfc4118618f3005b699b9e51aacaf0638543782dee8ef4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004541", "prompt": "What value of x satisfies 6(x - 612) + 84 = 12(x + 6)?", "solution_steps": ["Expand: 6x - 3672 + 84 = 12(x + 6)", "Expand: 6x - 3672 + 84 = 12x + 72", "Combine constants: 6x - 3588 = 12x + 72", "Subtract 12x from both sides: -6x - 3588 = 72", "Add 3588 to both sides: -6x = 3660", "Divide both sides by -6: x = -610"], "final_answer": "-610", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 612) + 84 = 12(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 612, \"c\": 84, \"d\": 12, \"e\": 6}", "seed": "14544991533579773479", "semantic_fingerprint": "sha256:84476a44521e1d43365cc08efe0c86d26780d8e17c9124f56523ab9f8e22e274", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004542", "prompt": "Find x: 4(x + 9) = 11(x - 76) + 970", "solution_steps": ["Expand: 4x + 36 = 11(x - 76) + 970", "Expand: 4x + 36 = 11x - 836 + 970", "Combine constants: 4x + 36 = 11x + 134", "Subtract 11x from both sides: -7x + 36 = 134", "Subtract 36 from both sides: -7x = 98", "Divide both sides by -7: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) = 11(x - 76) + 970", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 11, \"d\": 76, \"f\": 970, \"x\": -14}", "seed": "2395059696797641772", "semantic_fingerprint": "sha256:b77189053013ae4192dd3e7b360251caca8599c2f7897845a55b2d24d3c1474c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004543", "prompt": "Compute: (-7 + 32) / (-11) - 87 / (-860 - 58)", "solution_steps": ["Add: -7 + 32 = 25", "Divide: 25 / (-11) = -25/11", "Subtract: -860 - 58 = -918", "Divide: 87 / (-918) = -29/306", "Subtract: -25/11 - (-29/306) = -7331/3366"], "final_answer": "-7331/3366", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + 32) / (-11) - 87 / (-860 - 58)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 32, \"c\": -11, \"d\": 87, \"e\": -860, \"f\": 58}", "seed": "17207102845273066915", "semantic_fingerprint": "sha256:2245c097c9c2482ba75a75b54ab88abe9064de587e43b9fed33cbce4f655346c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004544", "prompt": "Find x: -6(x - 79) - 152 = x + 252", "solution_steps": ["Expand: -6x + 474 - 152 = x + 252", "Combine constants: -6x + 322 = x + 252", "Subtract x from both sides: -7x + 322 = 252", "Subtract 322 from both sides: -7x = -70", "Divide both sides by -7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 79) - 152 = x + 252", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 79, \"c\": 152, \"e\": 252, \"x\": 10}", "seed": "8320896827862330404", "semantic_fingerprint": "sha256:db9fb8deb244ed96b579ddb1a9b4b10f8c044e6bc6bfd60f65c46dd36c2f0fd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004545", "prompt": "Calculate: (7 - (-71 - (-214) * (-97))) * 6", "solution_steps": ["Multiply: -214 * (-97) = 20758", "Subtract: -71 - 20758 = -20829", "Subtract: 7 - (-20829) = 20836", "Multiply: 20836 * 6 = 125016"], "final_answer": "125016", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-71 - (-214) * (-97))) * 6", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -71, \"c\": -214, \"d\": -97, \"e\": 6}", "seed": "16162254705340705443", "semantic_fingerprint": "sha256:4331f6097014080eb0ba2fe9dd523159cec1c1c05a9c15fb041e8fcbeeff64e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004546", "prompt": "Solve for x: 10(x - 900) + 150 = 5(x + 5)", "solution_steps": ["Expand: 10x - 9000 + 150 = 5(x + 5)", "Expand: 10x - 9000 + 150 = 5x + 25", "Combine constants: 10x - 8850 = 5x + 25", "Subtract 5x from both sides: 5x - 8850 = 25", "Add 8850 to both sides: 5x = 8875", "Divide both sides by 5: x = 1775"], "final_answer": "1775", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 900) + 150 = 5(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 900, \"c\": 150, \"d\": 5, \"e\": 5}", "seed": "11254779869317037990", "semantic_fingerprint": "sha256:9f46c88e8488f8e26f1589b453408f359891d5de3119a1d18e90c8a86344f4ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004547", "prompt": "What is 1 * (-44) + 7 * 16?", "solution_steps": ["Multiply: 1 * (-44) = -44", "Multiply: 7 * 16 = 112", "Add: -44 + 112 = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-44) + 7 * 16", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -44, \"c\": 7, \"d\": 16}", "seed": "8601368879329251592", "semantic_fingerprint": "sha256:33ef69514855c87cbd022608bf16183fcb2472284eba92601034fb4de71e1e9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004548", "prompt": "Calculate: 12 / 10 * (12 / 1)", "solution_steps": ["Divide: 12 / 10 = 6/5", "Divide: 12 / 1 = 12", "Multiply: (6/5) * 12 = 72/5"], "final_answer": "72/5", "answer_type": "rational", "kind": "expression", "math_text": "12 / 10 * (12 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 10, \"c\": 12, \"d\": 1}", "seed": "17890542349498278107", "semantic_fingerprint": "sha256:3499d19efcc5f222f0090c140ab0a60d4f1828921540f9f603116ca84cf1a4c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004549", "prompt": "Compute: (418 + 12) / 5 + (-23)", "solution_steps": ["Add: 418 + 12 = 430", "Divide: 430 / 5 = 86", "Add: 86 + (-23) = 63"], "final_answer": "63", "answer_type": "integer", "kind": "expression", "math_text": "(418 + 12) / 5 + (-23)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 418, \"b\": 12, \"c\": 5, \"d\": -23}", "seed": "5925979872464059695", "semantic_fingerprint": "sha256:e12ad3e0424d612952ba9ffdb0d0024e1fb3d59cd58abba80c5f9ce2af0d0f03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004550", "prompt": "Find x: 8x - 38 = 4x - 6", "solution_steps": ["Subtract 4x from both sides: 4x - 38 = -6", "Add 38 to both sides: 4x = 32", "Divide both sides by 4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 38 = 4x - 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 38, \"c\": 4, \"d\": 6}", "seed": "12029183484359893026", "semantic_fingerprint": "sha256:4bd902f6d25dc946c3879138870947ab53cdd3b538a74b791d0661c1ded248a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004551", "prompt": "Solve the equation -11x - 45 = 11x - 908 for x.", "solution_steps": ["Subtract 11x from both sides: -22x - 45 = -908", "Add 45 to both sides: -22x = -863", "Divide both sides by -22: x = 863/22"], "final_answer": "863/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 45 = 11x - 908", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 45, \"c\": 11, \"d\": 908}", "seed": "13546970442291946991", "semantic_fingerprint": "sha256:1dfb6761d64e5627fea6908489672414d43d0b696e6bdea97cf1df8df2c8bdb7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004552", "prompt": "Find x: 5(x + 68) - 9 = x + 383", "solution_steps": ["Expand: 5x + 340 - 9 = x + 383", "Combine constants: 5x + 331 = x + 383", "Subtract x from both sides: 4x + 331 = 383", "Subtract 331 from both sides: 4x = 52", "Divide both sides by 4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 68) - 9 = x + 383", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 68, \"c\": 9, \"e\": 383, \"x\": 13}", "seed": "8922214987302744452", "semantic_fingerprint": "sha256:c24da3177e9b4e0f99d0605ec7a85d72d2cb4b6d90d68f77ed4c9d7d44383ac3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004553", "prompt": "Solve for x: 11(x + 4) + 289 = x + 523", "solution_steps": ["Expand: 11x + 44 + 289 = x + 523", "Combine constants: 11x + 333 = x + 523", "Subtract x from both sides: 10x + 333 = 523", "Subtract 333 from both sides: 10x = 190", "Divide both sides by 10: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 4) + 289 = x + 523", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 289, \"e\": 523, \"x\": 19}", "seed": "6560076459207930894", "semantic_fingerprint": "sha256:d0497ccc24b5badd077ce67851f7fb962ac82983bf9387932a80cd581adaf3a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004554", "prompt": "Solve for x: -4(x + 97) = 12(x - 8) + 593", "solution_steps": ["Expand: -4x - 388 = 12(x - 8) + 593", "Expand: -4x - 388 = 12x - 96 + 593", "Combine constants: -4x - 388 = 12x + 497", "Subtract 12x from both sides: -16x - 388 = 497", "Add 388 to both sides: -16x = 885", "Divide both sides by -16: x = -885/16"], "final_answer": "-885/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 97) = 12(x - 8) + 593", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 97, \"c\": 12, \"d\": 8, \"e\": 593}", "seed": "15875935185669946045", "semantic_fingerprint": "sha256:117813e95f9f9aef85d81f20b30c06cd4558d3926aa3b9a6b932b0fc84e95b5b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004555", "prompt": "What is 88 / (-2) / (4 / (66 - 9)) * (-85)?", "solution_steps": ["Divide: 88 / (-2) = -44", "Subtract: 66 - 9 = 57", "Divide: 4 / 57 = 4/57", "Divide: -44 / (4/57) = -627", "Multiply: -627 * (-85) = 53295"], "final_answer": "53295", "answer_type": "integer", "kind": "expression", "math_text": "88 / (-2) / (4 / (66 - 9)) * (-85)", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -2, \"c\": 4, \"d\": 66, \"e\": 9, \"f\": -85}", "seed": "6857043249476909865", "semantic_fingerprint": "sha256:a8561ff2a4ed379abc395f1ef599f9b309239764a1c3af770e5f4edb43f2a3ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004556", "prompt": "Find x: 2(x + 76) - 5 = x + 3", "solution_steps": ["Expand: 2x + 152 - 5 = x + 3", "Combine constants: 2x + 147 = x + 3", "Subtract x from both sides: x + 147 = 3", "Subtract 147 from both sides: x = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 76) - 5 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 76, \"c\": 5, \"d\": 3}", "seed": "5998293340903844264", "semantic_fingerprint": "sha256:490e2918a6d687dd665f9b471429a2571e84fac29635a315509ca958f6e55877", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004557", "prompt": "What is -78 / (58 - (-592)) + (-44 - (-47))?", "solution_steps": ["Subtract: 58 - (-592) = 650", "Divide: -78 / 650 = -3/25", "Subtract: -44 - (-47) = 3", "Add: -3/25 + 3 = 72/25"], "final_answer": "72/25", "answer_type": "rational", "kind": "expression", "math_text": "-78 / (58 - (-592)) + (-44 - (-47))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 58, \"c\": -592, \"d\": -44, \"e\": -47}", "seed": "5263944312901407307", "semantic_fingerprint": "sha256:1a018fdae2571c7845b5863741e4d12f9cc1c0158398a83cadb9f6a23026c09c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004558", "prompt": "Evaluate: (568 - (-94) - (-63)) * 916", "solution_steps": ["Subtract: 568 - (-94) = 662", "Subtract: 662 - (-63) = 725", "Multiply: 725 * 916 = 664100"], "final_answer": "664100", "answer_type": "integer", "kind": "expression", "math_text": "(568 - (-94) - (-63)) * 916", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 568, \"b\": -94, \"c\": -63, \"d\": 916}", "seed": "12303213689987175275", "semantic_fingerprint": "sha256:17e96822c57739239926f82e2d300a54a0925ec20611ccb51e9a3f20dcd727fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004559", "prompt": "Solve the equation 4(x + 55) = 11(x - 927) + 92 for x.", "solution_steps": ["Expand: 4x + 220 = 11(x - 927) + 92", "Expand: 4x + 220 = 11x - 10197 + 92", "Combine constants: 4x + 220 = 11x - 10105", "Subtract 11x from both sides: -7x + 220 = -10105", "Subtract 220 from both sides: -7x = -10325", "Divide both sides by -7: x = 1475"], "final_answer": "1475", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 55) = 11(x - 927) + 92", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 55, \"c\": 11, \"d\": 927, \"e\": 92}", "seed": "7324887812306418846", "semantic_fingerprint": "sha256:5332f7079c224f6d05949fc89ccbed370e679c17d313847793b03422715a5f84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004560", "prompt": "Evaluate: -1 * (-881 / (1 / (568 - (-449))))", "solution_steps": ["Subtract: 568 - (-449) = 1017", "Divide: 1 / 1017 = 1/1017", "Divide: -881 / (1/1017) = -895977", "Multiply: -1 * (-895977) = 895977"], "final_answer": "895977", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-881 / (1 / (568 - (-449))))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -881, \"c\": 1, \"d\": 568, \"e\": -449}", "seed": "14876829589231580942", "semantic_fingerprint": "sha256:1dc8dae5a0c32346ec5992d872061cdf813cdb854b42140dc252e3563718ab31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004561", "prompt": "Compute: -4 / 102 + (-9 - (-7 + (-29)))", "solution_steps": ["Divide: -4 / 102 = -2/51", "Add: -7 + (-29) = -36", "Subtract: -9 - (-36) = 27", "Add: -2/51 + 27 = 1375/51"], "final_answer": "1375/51", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 102 + (-9 - (-7 + (-29)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 102, \"c\": -9, \"d\": -7, \"e\": -29}", "seed": "12647180091954362027", "semantic_fingerprint": "sha256:8337060068f0e63cf3ccf288e9eb5ef311393d131cc824c15febd657de853a11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004562", "prompt": "Evaluate: -70 * 6 + (-8 - 53 * 6)", "solution_steps": ["Multiply: -70 * 6 = -420", "Multiply: 53 * 6 = 318", "Subtract: -8 - 318 = -326", "Add: -420 + (-326) = -746"], "final_answer": "-746", "answer_type": "integer", "kind": "expression", "math_text": "-70 * 6 + (-8 - 53 * 6)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 6, \"c\": -8, \"d\": 53, \"e\": 6}", "seed": "1166516108398818684", "semantic_fingerprint": "sha256:21ef65b9d0ad34777c8167e2392610c3187a8551d00a527a80c2fbbdc6525e7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004563", "prompt": "What is 3 * (290 - (-712)) + (-15) * (-24)?", "solution_steps": ["Subtract: 290 - (-712) = 1002", "Multiply: 3 * 1002 = 3006", "Multiply: -15 * (-24) = 360", "Add: 3006 + 360 = 3366"], "final_answer": "3366", "answer_type": "integer", "kind": "expression", "math_text": "3 * (290 - (-712)) + (-15) * (-24)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 290, \"c\": -712, \"d\": -15, \"e\": -24}", "seed": "5018800670621527550", "semantic_fingerprint": "sha256:662628647d96906f8ea38957b0c5ed32064fd1b08b3f3b5c7362f700d6b84b2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004564", "prompt": "Compute: (0 + (-20)) / (-9 - 763 / 3)", "solution_steps": ["Add: 0 + (-20) = -20", "Divide: 763 / 3 = 763/3", "Subtract: -9 - 763/3 = -790/3", "Divide: -20 / (-790/3) = 6/79"], "final_answer": "6/79", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-20)) / (-9 - 763 / 3)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -20, \"c\": -9, \"d\": 763, \"e\": 3}", "seed": "3377833086695063007", "semantic_fingerprint": "sha256:c12cba273623fce4ec7661c9ccf03f2c36daa8e70803efd3d66619092df345ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004565", "prompt": "Evaluate: 175 / (33 * (45 - 75) - 3)", "solution_steps": ["Subtract: 45 - 75 = -30", "Multiply: 33 * (-30) = -990", "Subtract: -990 - 3 = -993", "Divide: 175 / (-993) = -175/993"], "final_answer": "-175/993", "answer_type": "rational", "kind": "expression", "math_text": "175 / (33 * (45 - 75) - 3)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 175, \"b\": 33, \"c\": 45, \"d\": 75, \"e\": 3}", "seed": "10200659865230886365", "semantic_fingerprint": "sha256:ae8fd9cc380df436edda41f5a1a2be7792ec1123016e585f0d480d6353c566c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004566", "prompt": "Compute: 1 * (-423) + (-933) + (35 * 50 - 9)", "solution_steps": ["Multiply: 1 * (-423) = -423", "Add: -423 + (-933) = -1356", "Multiply: 35 * 50 = 1750", "Subtract: 1750 - 9 = 1741", "Add: -1356 + 1741 = 385"], "final_answer": "385", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-423) + (-933) + (35 * 50 - 9)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -423, \"c\": -933, \"d\": 35, \"e\": 50, \"f\": 9}", "seed": "3077426963835049284", "semantic_fingerprint": "sha256:1d04efed9d2f546f63f4e1d00061451136880a6dfebac1bcabdbc8f8f5d2101d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004567", "prompt": "Find x: 8(x - 17) + 99 = 5(x + 4)", "solution_steps": ["Expand: 8x - 136 + 99 = 5(x + 4)", "Expand: 8x - 136 + 99 = 5x + 20", "Combine constants: 8x - 37 = 5x + 20", "Subtract 5x from both sides: 3x - 37 = 20", "Add 37 to both sides: 3x = 57", "Divide both sides by 3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 17) + 99 = 5(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 17, \"c\": 5, \"d\": 4, \"f\": 99, \"x\": 19}", "seed": "10667415800995648275", "semantic_fingerprint": "sha256:efacab32a5dbd7908079204eec378e734b1527a532e6d876f791f9c303bb3ee9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004568", "prompt": "Evaluate: -4 - (-26 - (-7 + (-5))) / 6", "solution_steps": ["Add: -7 + (-5) = -12", "Subtract: -26 - (-12) = -14", "Divide: -14 / 6 = -7/3", "Subtract: -4 - (-7/3) = -5/3"], "final_answer": "-5/3", "answer_type": "rational", "kind": "expression", "math_text": "-4 - (-26 - (-7 + (-5))) / 6", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -26, \"c\": -7, \"d\": -5, \"e\": 6}", "seed": "9462026235720753669", "semantic_fingerprint": "sha256:34291db3e1f1a50863cad53a87fe288d60d9d4593a5d423e00e4119972386a39", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004569", "prompt": "What value of x satisfies 7x = 5(x + 3) - 25?", "solution_steps": ["Expand: 7x = 5x + 15 - 25", "Combine constants: 7x = 5x - 10", "Subtract 5x from both sides: 2x = -10", "Divide both sides by 2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 5(x + 3) - 25", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 3, \"e\": -25, \"x\": -5}", "seed": "15718595448420241011", "semantic_fingerprint": "sha256:f40ae8a02415bd4a74dac15fee157c8bd968ee8eb2cac6ba676b60ede56d3bf6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004570", "prompt": "What value of x satisfies 9(x - 9) - 5 = x + 50?", "solution_steps": ["Expand: 9x - 81 - 5 = x + 50", "Combine constants: 9x - 86 = x + 50", "Subtract x from both sides: 8x - 86 = 50", "Add 86 to both sides: 8x = 136", "Divide both sides by 8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 9) - 5 = x + 50", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 5, \"e\": 50, \"x\": 17}", "seed": "15369988838085934043", "semantic_fingerprint": "sha256:45a434a59c975b97a5d61e957f144517d29002c5b6cde9b68d5bb9a924d074b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004571", "prompt": "Find x: -11(x - 252) + 7 = 10(x + 8)", "solution_steps": ["Expand: -11x + 2772 + 7 = 10(x + 8)", "Expand: -11x + 2772 + 7 = 10x + 80", "Combine constants: -11x + 2779 = 10x + 80", "Subtract 10x from both sides: -21x + 2779 = 80", "Subtract 2779 from both sides: -21x = -2699", "Divide both sides by -21: x = 2699/21"], "final_answer": "2699/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 252) + 7 = 10(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 252, \"c\": 7, \"d\": 10, \"e\": 8}", "seed": "3133814587741749798", "semantic_fingerprint": "sha256:a6546b108160d04fafc3bb845d369864efe547ce03a3e8f5de1d1fc4dea19443", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004572", "prompt": "Compute: (-6 - 553) * 0 - (-56 + (-3) - 5)", "solution_steps": ["Subtract: -6 - 553 = -559", "Multiply: -559 * 0 = 0", "Add: -56 + (-3) = -59", "Subtract: -59 - 5 = -64", "Subtract: 0 - (-64) = 64"], "final_answer": "64", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - 553) * 0 - (-56 + (-3) - 5)", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 553, \"c\": 0, \"d\": -56, \"e\": -3, \"f\": 5}", "seed": "13213797812389310325", "semantic_fingerprint": "sha256:11c27d84d4ca9fa35da0b83ad4dff07b1fd91462a15b0c8ccf2f149a871886ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004573", "prompt": "Evaluate: 56 / (-903 + 2) / (-48 / (-7) / (-28))", "solution_steps": ["Add: -903 + 2 = -901", "Divide: 56 / (-901) = -56/901", "Divide: -48 / (-7) = 48/7", "Divide: (48/7) / (-28) = -12/49", "Divide: (-56/901) / (-12/49) = 686/2703"], "final_answer": "686/2703", "answer_type": "rational", "kind": "expression", "math_text": "56 / (-903 + 2) / (-48 / (-7) / (-28))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (+ n n)) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -903, \"c\": 2, \"d\": -48, \"e\": -7, \"f\": -28}", "seed": "11980043700302900550", "semantic_fingerprint": "sha256:8eadea8346ec1e44d34cbf6fefe92f6814839926c2fd78d27d95e2e5608b4c8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004574", "prompt": "Compute: 75 / (-39 / 6) / (9 + (-258))", "solution_steps": ["Divide: -39 / 6 = -13/2", "Divide: 75 / (-13/2) = -150/13", "Add: 9 + (-258) = -249", "Divide: (-150/13) / (-249) = 50/1079"], "final_answer": "50/1079", "answer_type": "rational", "kind": "expression", "math_text": "75 / (-39 / 6) / (9 + (-258))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -39, \"c\": 6, \"d\": 9, \"e\": -258}", "seed": "10209232449861441795", "semantic_fingerprint": "sha256:6bbb8717de9ce1c09d3dc0d7da2810293f10e0f5602cd1827954becedc3dfa3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004575", "prompt": "Find x: 6(x + 740) = -8(x - 48) + 9", "solution_steps": ["Expand: 6x + 4440 = -8(x - 48) + 9", "Expand: 6x + 4440 = -8x + 384 + 9", "Combine constants: 6x + 4440 = -8x + 393", "Add 8x to both sides: 14x + 4440 = 393", "Subtract 4440 from both sides: 14x = -4047", "Divide both sides by 14: x = -4047/14"], "final_answer": "-4047/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 740) = -8(x - 48) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 740, \"c\": -8, \"d\": 48, \"e\": 9}", "seed": "2515205133792751574", "semantic_fingerprint": "sha256:f7e6246981156a9bfcbfdadae5ac8a8e1b6e22be83e98231ec08d1d8878e581f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004576", "prompt": "What value of x satisfies -5(x - 2) - 4 = x + 108?", "solution_steps": ["Expand: -5x + 10 - 4 = x + 108", "Combine constants: -5x + 6 = x + 108", "Subtract x from both sides: -6x + 6 = 108", "Subtract 6 from both sides: -6x = 102", "Divide both sides by -6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 2) - 4 = x + 108", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 4, \"e\": 108, \"x\": -17}", "seed": "5348132824747397719", "semantic_fingerprint": "sha256:1c5402b4ab2807491550567a9f4b14f6352ae52a8bf4d53640ebea9d025b4516", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004577", "prompt": "What is 206 / (410 + (-2)) * (-458 * (-45))?", "solution_steps": ["Add: 410 + (-2) = 408", "Divide: 206 / 408 = 103/204", "Multiply: -458 * (-45) = 20610", "Multiply: (103/204) * 20610 = 353805/34"], "final_answer": "353805/34", "answer_type": "rational", "kind": "expression", "math_text": "206 / (410 + (-2)) * (-458 * (-45))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 206, \"b\": 410, \"c\": -2, \"d\": -458, \"e\": -45}", "seed": "14949983687334128256", "semantic_fingerprint": "sha256:5ba6b734ba8d7066aeff04231b6782a9201510bd57fdd625e2a6a2ae64bf12cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004578", "prompt": "Solve the equation 3x = -6(x + 5) + 2 for x.", "solution_steps": ["Expand: 3x = -6x - 30 + 2", "Combine constants: 3x = -6x - 28", "Add 6x to both sides: 9x = -28", "Divide both sides by 9: x = -28/9"], "final_answer": "-28/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -6(x + 5) + 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6, \"c\": 5, \"d\": 2}", "seed": "16695016971832591878", "semantic_fingerprint": "sha256:88b41abdaaf1b1d804fc0f7f82f64c7eacbeea8be33690b128d8e74b4579782a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004579", "prompt": "Solve for x: 9x = 11(x + 67) - 777", "solution_steps": ["Expand: 9x = 11x + 737 - 777", "Combine constants: 9x = 11x - 40", "Subtract 11x from both sides: -2x = -40", "Divide both sides by -2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 11(x + 67) - 777", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 67, \"e\": -777, \"x\": 20}", "seed": "6648644230082961181", "semantic_fingerprint": "sha256:bfc19be787b6fd9087f6ee32f75eab618528500bd749db4b952f56f512bcbbea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004580", "prompt": "Solve for x: 8(x + 456) = 7(x - 35) + 84", "solution_steps": ["Expand: 8x + 3648 = 7(x - 35) + 84", "Expand: 8x + 3648 = 7x - 245 + 84", "Combine constants: 8x + 3648 = 7x - 161", "Subtract 7x from both sides: x + 3648 = -161", "Subtract 3648 from both sides: x = -3809"], "final_answer": "-3809", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 456) = 7(x - 35) + 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 456, \"c\": 7, \"d\": 35, \"e\": 84}", "seed": "13450241557135347456", "semantic_fingerprint": "sha256:c9716e9c74c5434d0f0069f2d0d19dbb9d56cc4ba6d1105baeb8934b87d5cead", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004581", "prompt": "Calculate: -3 - (-9 + (-31)) / (-556)", "solution_steps": ["Add: -9 + (-31) = -40", "Divide: -40 / (-556) = 10/139", "Subtract: -3 - 10/139 = -427/139"], "final_answer": "-427/139", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-9 + (-31)) / (-556)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -9, \"c\": -31, \"d\": -556}", "seed": "10622920081463880346", "semantic_fingerprint": "sha256:a437807c96d5ecd04962aad4cba4cd93b74bfd61a3f04e32e470ef1c4ee52e9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004582", "prompt": "What is (2 + 72) / (-201 + (-36))?", "solution_steps": ["Add: 2 + 72 = 74", "Add: -201 + (-36) = -237", "Divide: 74 / (-237) = -74/237"], "final_answer": "-74/237", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 72) / (-201 + (-36))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 72, \"c\": -201, \"d\": -36}", "seed": "376350425981659056", "semantic_fingerprint": "sha256:c87361ade78b3b83b39fb146acae53084b55f8cef19ab6c98ce16d8efc8429fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004583", "prompt": "What is 44 * 2 * (97 / (-1))?", "solution_steps": ["Multiply: 44 * 2 = 88", "Divide: 97 / (-1) = -97", "Multiply: 88 * (-97) = -8536"], "final_answer": "-8536", "answer_type": "integer", "kind": "expression", "math_text": "44 * 2 * (97 / (-1))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 2, \"c\": 97, \"d\": -1}", "seed": "14898652488224790801", "semantic_fingerprint": "sha256:1216d8e9766545f2791d8a21dc5fb68ce5fe12bef49c72f7dfde754514d581ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004584", "prompt": "What is 80 * 10 + 8 + (-875)?", "solution_steps": ["Multiply: 80 * 10 = 800", "Add: 800 + 8 = 808", "Add: 808 + (-875) = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "expression", "math_text": "80 * 10 + 8 + (-875)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 10, \"c\": 8, \"d\": -875}", "seed": "9104031556176158925", "semantic_fingerprint": "sha256:80383a4862b5beb71f5e60f6a8e0a102558ca9cc08e3ac458c47a664ad45f512", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004585", "prompt": "What value of x satisfies 5x - 96 = -8x - 343?", "solution_steps": ["Add 8x to both sides: 13x - 96 = -343", "Add 96 to both sides: 13x = -247", "Divide both sides by 13: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 96 = -8x - 343", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 96, \"c\": -8, \"e\": -343, \"x\": -19}", "seed": "6886834631550432631", "semantic_fingerprint": "sha256:1dbe0eb1b91a590e2b906a617e3c5c05f78bfcf162275c803fba20d88d9d11a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004586", "prompt": "Calculate: 29 - 857 * (-78 / 4)", "solution_steps": ["Divide: -78 / 4 = -39/2", "Multiply: 857 * (-39/2) = -33423/2", "Subtract: 29 - (-33423/2) = 33481/2"], "final_answer": "33481/2", "answer_type": "rational", "kind": "expression", "math_text": "29 - 857 * (-78 / 4)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 857, \"c\": -78, \"d\": 4}", "seed": "8544284418596134906", "semantic_fingerprint": "sha256:830190d4867cc57ecaef46bde4a6600b14df364ab73996a674adb583c33e32bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004587", "prompt": "Compute: 35 * (-256) + 9 + 57", "solution_steps": ["Multiply: 35 * (-256) = -8960", "Add: -8960 + 9 = -8951", "Add: -8951 + 57 = -8894"], "final_answer": "-8894", "answer_type": "integer", "kind": "expression", "math_text": "35 * (-256) + 9 + 57", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -256, \"c\": 9, \"d\": 57}", "seed": "10328819040769968966", "semantic_fingerprint": "sha256:5b0de67c6c92a422868429132e3063823be29b54f113a62dcca14fb174c785a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004588", "prompt": "Evaluate: (-21 - 27 - 92) * (-6)", "solution_steps": ["Subtract: -21 - 27 = -48", "Subtract: -48 - 92 = -140", "Multiply: -140 * (-6) = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "(-21 - 27 - 92) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 27, \"c\": 92, \"d\": -6}", "seed": "2947516314187791721", "semantic_fingerprint": "sha256:2279ac5ae84dbf4fb40d1b8dee8b5a9534f43ee4e8abf6c5394d9e95e1b188e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004589", "prompt": "What is 2 / (-64 - 0) * (-41 - 6 * (-545))?", "solution_steps": ["Subtract: -64 - 0 = -64", "Divide: 2 / (-64) = -1/32", "Multiply: 6 * (-545) = -3270", "Subtract: -41 - (-3270) = 3229", "Multiply: (-1/32) * 3229 = -3229/32"], "final_answer": "-3229/32", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-64 - 0) * (-41 - 6 * (-545))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n n)) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -64, \"c\": 0, \"d\": -41, \"e\": 6, \"f\": -545}", "seed": "11701471484466655380", "semantic_fingerprint": "sha256:69af808e7cf32033b489df406b63adf9e4aa58780afdba5a05e67e3d36c1ecfd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004590", "prompt": "Find x: 5x = 8(x + 91) + 7", "solution_steps": ["Expand: 5x = 8x + 728 + 7", "Combine constants: 5x = 8x + 735", "Subtract 8x from both sides: -3x = 735", "Divide both sides by -3: x = -245"], "final_answer": "-245", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 8(x + 91) + 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 91, \"d\": 7}", "seed": "13624458500650856446", "semantic_fingerprint": "sha256:385f399e84693ebcf33fa73e96c0ac0f3c08253576a0eeb8d7fef8f525855a54", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004591", "prompt": "Find x: -5x - 545 = -9x - 569", "solution_steps": ["Add 9x to both sides: 4x - 545 = -569", "Add 545 to both sides: 4x = -24", "Divide both sides by 4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 545 = -9x - 569", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 545, \"c\": -9, \"e\": -569, \"x\": -6}", "seed": "1037473461665535439", "semantic_fingerprint": "sha256:6e7399001b9ead555aa0a4350f1a8b9976a85bdbaaefbc1fc88b3e45f15d9678", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004592", "prompt": "Evaluate: 56 * (-97) + (-54) + (-52) / 6", "solution_steps": ["Multiply: 56 * (-97) = -5432", "Add: -5432 + (-54) = -5486", "Divide: -52 / 6 = -26/3", "Add: -5486 + (-26/3) = -16484/3"], "final_answer": "-16484/3", "answer_type": "rational", "kind": "expression", "math_text": "56 * (-97) + (-54) + (-52) / 6", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -97, \"c\": -54, \"d\": -52, \"e\": 6}", "seed": "12301384379764331715", "semantic_fingerprint": "sha256:f6dc44aa5bc1014e65d824b38b3123b284be62d1f6ff2f40f200a8518b61fd50", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004593", "prompt": "Solve for x: 3(x + 2) = 7(x - 2) + 60", "solution_steps": ["Expand: 3x + 6 = 7(x - 2) + 60", "Expand: 3x + 6 = 7x - 14 + 60", "Combine constants: 3x + 6 = 7x + 46", "Subtract 7x from both sides: -4x + 6 = 46", "Subtract 6 from both sides: -4x = 40", "Divide both sides by -4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 2) = 7(x - 2) + 60", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 7, \"d\": 2, \"f\": 60, \"x\": -10}", "seed": "1802376669309467699", "semantic_fingerprint": "sha256:3dba4077b5cf6c13e1737021e33a6525c3f7f47fb2e398be1c3850b03b1dc2a4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004594", "prompt": "Calculate: -51 / (-8) - (-496) - 4 * 0", "solution_steps": ["Divide: -51 / (-8) = 51/8", "Subtract: 51/8 - (-496) = 4019/8", "Multiply: 4 * 0 = 0", "Subtract: 4019/8 - 0 = 4019/8"], "final_answer": "4019/8", "answer_type": "rational", "kind": "expression", "math_text": "-51 / (-8) - (-496) - 4 * 0", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -8, \"c\": -496, \"d\": 4, \"e\": 0}", "seed": "4562318114260907593", "semantic_fingerprint": "sha256:0cf6a35be6e172456b97afc1a61a38fe2632167a25cf9106fbfe1226302d77ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004595", "prompt": "Calculate: (-85 + (0 / (-6) - (-76))) / (-25)", "solution_steps": ["Divide: 0 / (-6) = 0", "Subtract: 0 - (-76) = 76", "Add: -85 + 76 = -9", "Divide: -9 / (-25) = 9/25"], "final_answer": "9/25", "answer_type": "rational", "kind": "expression", "math_text": "(-85 + (0 / (-6) - (-76))) / (-25)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 0, \"c\": -6, \"d\": -76, \"e\": -25}", "seed": "2600480897761578846", "semantic_fingerprint": "sha256:98dabb80f9555c2154126622a3924788cbb06502b7705478d6e4494a5fcae404", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004596", "prompt": "Find x: 8(x + 68) + 4 = x + 520", "solution_steps": ["Expand: 8x + 544 + 4 = x + 520", "Combine constants: 8x + 548 = x + 520", "Subtract x from both sides: 7x + 548 = 520", "Subtract 548 from both sides: 7x = -28", "Divide both sides by 7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 68) + 4 = x + 520", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 68, \"c\": 4, \"e\": 520, \"x\": -4}", "seed": "14480361591851433593", "semantic_fingerprint": "sha256:3834610364e111a7d8d1ea20e57d8ddd08364fe0a1f18770e2aec5adb2c4b515", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004597", "prompt": "Calculate: 24 / (-20 * (-43 - (-60))) * (-649)", "solution_steps": ["Subtract: -43 - (-60) = 17", "Multiply: -20 * 17 = -340", "Divide: 24 / (-340) = -6/85", "Multiply: (-6/85) * (-649) = 3894/85"], "final_answer": "3894/85", "answer_type": "rational", "kind": "expression", "math_text": "24 / (-20 * (-43 - (-60))) * (-649)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -20, \"c\": -43, \"d\": -60, \"e\": -649}", "seed": "14333534671621915039", "semantic_fingerprint": "sha256:434cc8b8ab605861da4666c19ce58186ae3519206b1803ebd8a7e976d947a5f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004598", "prompt": "Evaluate: 14 * (-56 * 4) * 8", "solution_steps": ["Multiply: -56 * 4 = -224", "Multiply: 14 * (-224) = -3136", "Multiply: -3136 * 8 = -25088"], "final_answer": "-25088", "answer_type": "integer", "kind": "expression", "math_text": "14 * (-56 * 4) * 8", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -56, \"c\": 4, \"d\": 8}", "seed": "8385129169514431916", "semantic_fingerprint": "sha256:ab60406a4dba76c49f25a7e36938a0d47cdeb996fed003a141ee9e6946de867b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004599", "prompt": "Solve the equation 8x = 7(x + 78) - 531 for x.", "solution_steps": ["Expand: 8x = 7x + 546 - 531", "Combine constants: 8x = 7x + 15", "Subtract 7x from both sides: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 7(x + 78) - 531", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 78, \"e\": -531, \"x\": 15}", "seed": "1808291159208939931", "semantic_fingerprint": "sha256:f89240ed98b630f4ede486d0b35188ca5b58355b961fe2e3f55a39a4f0de6d03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004600", "prompt": "What is (9 + (-6)) / (2 + 448)?", "solution_steps": ["Add: 9 + (-6) = 3", "Add: 2 + 448 = 450", "Divide: 3 / 450 = 1/150"], "final_answer": "1/150", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-6)) / (2 + 448)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": 2, \"d\": 448}", "seed": "7171913262583188695", "semantic_fingerprint": "sha256:c571d3b31a45311e26c32642c24b67819a48f88e57f3796452dbd211f7c54d7f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004601", "prompt": "Solve the equation 4x = 9(x + 4) - 1 for x.", "solution_steps": ["Expand: 4x = 9x + 36 - 1", "Combine constants: 4x = 9x + 35", "Subtract 9x from both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 9(x + 4) - 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 4, \"e\": -1, \"x\": -7}", "seed": "6910217676999918991", "semantic_fingerprint": "sha256:5a21491ba90d56120cc87ae73b1323b9e3727cb9735f2670d73783f3d833e40d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004602", "prompt": "Evaluate: (-7 - 7 * (-77)) / 253", "solution_steps": ["Multiply: 7 * (-77) = -539", "Subtract: -7 - (-539) = 532", "Divide: 532 / 253 = 532/253"], "final_answer": "532/253", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 7 * (-77)) / 253", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": -77, \"d\": 253}", "seed": "6151567795953185367", "semantic_fingerprint": "sha256:a82de5518df0a006794070a45aec8a2f1fdf05021c631c03be98ac659e9e1cbe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004603", "prompt": "Solve for x: 12(x + 95) = 9(x - 21) + 644", "solution_steps": ["Expand: 12x + 1140 = 9(x - 21) + 644", "Expand: 12x + 1140 = 9x - 189 + 644", "Combine constants: 12x + 1140 = 9x + 455", "Subtract 9x from both sides: 3x + 1140 = 455", "Subtract 1140 from both sides: 3x = -685", "Divide both sides by 3: x = -685/3"], "final_answer": "-685/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 95) = 9(x - 21) + 644", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 95, \"c\": 9, \"d\": 21, \"e\": 644}", "seed": "9887485949412157576", "semantic_fingerprint": "sha256:bb28e18e95eb98b147accf838f5dad3153034474a1e74545a752827da6935dfb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004604", "prompt": "Calculate: -32 / (-31) + 0 - 0 * (-259)", "solution_steps": ["Divide: -32 / (-31) = 32/31", "Add: 32/31 + 0 = 32/31", "Multiply: 0 * (-259) = 0", "Subtract: 32/31 - 0 = 32/31"], "final_answer": "32/31", "answer_type": "rational", "kind": "expression", "math_text": "-32 / (-31) + 0 - 0 * (-259)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -31, \"c\": 0, \"d\": 0, \"e\": -259}", "seed": "7962988206050780649", "semantic_fingerprint": "sha256:4afb1ebfed838d3d72e83c406cc64961fc56b3569a67ebb5b6f86728cfcf3d2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004605", "prompt": "What is 6 + (94 - (6 + 330))?", "solution_steps": ["Add: 6 + 330 = 336", "Subtract: 94 - 336 = -242", "Add: 6 + (-242) = -236"], "final_answer": "-236", "answer_type": "integer", "kind": "expression", "math_text": "6 + (94 - (6 + 330))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 94, \"c\": 6, \"d\": 330}", "seed": "2300103253965514728", "semantic_fingerprint": "sha256:bf0c7e3e9a6af6a1f67d445874183949a4591fe9f627a3821ed641f7c4679712", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004606", "prompt": "Find x: -12x - 14 = 2(x - 7)", "solution_steps": ["Expand: -12x - 14 = 2x - 14", "Subtract 2x from both sides: -14x - 14 = -14", "Add 14 to both sides: -14x = 0", "Divide both sides by -14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 14 = 2(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 2, \"c\": 7, \"e\": -14, \"x\": 0}", "seed": "7942115646345426277", "semantic_fingerprint": "sha256:6ce9b97b0daee07c5a6bdfb57d8eca55aa87fbf3f5d0965baf7c3f936ea548f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004607", "prompt": "Compute: -5 * (-3 / (0 / 283 + (-9)))", "solution_steps": ["Divide: 0 / 283 = 0", "Add: 0 + (-9) = -9", "Divide: -3 / (-9) = 1/3", "Multiply: -5 * (1/3) = -5/3"], "final_answer": "-5/3", "answer_type": "rational", "kind": "expression", "math_text": "-5 * (-3 / (0 / 283 + (-9)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3, \"c\": 0, \"d\": 283, \"e\": -9}", "seed": "12234454864450850487", "semantic_fingerprint": "sha256:5d4655e7850261ef1ca58e2be6ed390b25897abae0e59aa7c1657d26703e5017", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004608", "prompt": "Compute: -1 * (326 * 60) + 37", "solution_steps": ["Multiply: 326 * 60 = 19560", "Multiply: -1 * 19560 = -19560", "Add: -19560 + 37 = -19523"], "final_answer": "-19523", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (326 * 60) + 37", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 326, \"c\": 60, \"d\": 37}", "seed": "9414275318501504971", "semantic_fingerprint": "sha256:5ce524ffc38db7798e228d3c6f673b1e8ed26092e7d3cd2b9decf8bfdc8949f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004609", "prompt": "Evaluate: 3 / (-4) - 505 - (-163) / 4", "solution_steps": ["Divide: 3 / (-4) = -3/4", "Subtract: -3/4 - 505 = -2023/4", "Divide: -163 / 4 = -163/4", "Subtract: -2023/4 - (-163/4) = -465"], "final_answer": "-465", "answer_type": "integer", "kind": "expression", "math_text": "3 / (-4) - 505 - (-163) / 4", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -4, \"c\": 505, \"d\": -163, \"e\": 4}", "seed": "5845504249944265632", "semantic_fingerprint": "sha256:f95be4505468eaf41640dca1ef6b332ee3bd68b8667304857e720dd2fccfae48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004610", "prompt": "What value of x satisfies 4x - 838 = -3x - 698?", "solution_steps": ["Add 3x to both sides: 7x - 838 = -698", "Add 838 to both sides: 7x = 140", "Divide both sides by 7: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 838 = -3x - 698", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 838, \"c\": -3, \"e\": -698, \"x\": 20}", "seed": "15550680850465835086", "semantic_fingerprint": "sha256:cd879f1a82d325b8f56f511d828ed1a40d85956ab35f3c58d987a94b592816fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004611", "prompt": "Find x: 8x = 5(x + 822) - 2", "solution_steps": ["Expand: 8x = 5x + 4110 - 2", "Combine constants: 8x = 5x + 4108", "Subtract 5x from both sides: 3x = 4108", "Divide both sides by 3: x = 4108/3"], "final_answer": "4108/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 5(x + 822) - 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 822, \"d\": 2}", "seed": "7108714366800692421", "semantic_fingerprint": "sha256:00c8379d5b79d2248f31619acf54b72f55e3135c3fad87c2d69ff4b8f51dfb65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004612", "prompt": "Compute: -85 / 966 * (-44 / 10)", "solution_steps": ["Divide: -85 / 966 = -85/966", "Divide: -44 / 10 = -22/5", "Multiply: (-85/966) * (-22/5) = 187/483"], "final_answer": "187/483", "answer_type": "rational", "kind": "expression", "math_text": "-85 / 966 * (-44 / 10)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 966, \"c\": -44, \"d\": 10}", "seed": "1157045676510323113", "semantic_fingerprint": "sha256:dfaba0d43b910eb26647904c27b1ad0435a7f335a7caedb10858c33ce94179bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004613", "prompt": "Evaluate: (-5 - (-545) * (162 + (-72))) / (48 / 7)", "solution_steps": ["Add: 162 + (-72) = 90", "Multiply: -545 * 90 = -49050", "Subtract: -5 - (-49050) = 49045", "Divide: 48 / 7 = 48/7", "Divide: 49045 / (48/7) = 343315/48"], "final_answer": "343315/48", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-545) * (162 + (-72))) / (48 / 7)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n (+ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -545, \"c\": 162, \"d\": -72, \"e\": 48, \"f\": 7}", "seed": "14360486526688232112", "semantic_fingerprint": "sha256:76253386c98942c9f6d5f7ddf7e9f8cb916b688157f930cbcba7f44335587adf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004614", "prompt": "Evaluate: 0 * 2 * (-26 / (-77))", "solution_steps": ["Multiply: 0 * 2 = 0", "Divide: -26 / (-77) = 26/77", "Multiply: 0 * (26/77) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 2 * (-26 / (-77))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": -26, \"d\": -77}", "seed": "15080282724769458173", "semantic_fingerprint": "sha256:4b5478e8e8bb56a5e550c8bdafba913862291436b7737fb28f727c85a24a12e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004615", "prompt": "Compute: 31 + (4 + (64 + 816)) * 762", "solution_steps": ["Add: 64 + 816 = 880", "Add: 4 + 880 = 884", "Multiply: 884 * 762 = 673608", "Add: 31 + 673608 = 673639"], "final_answer": "673639", "answer_type": "integer", "kind": "expression", "math_text": "31 + (4 + (64 + 816)) * 762", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 4, \"c\": 64, \"d\": 816, \"e\": 762}", "seed": "2659318165049033828", "semantic_fingerprint": "sha256:0cc98e2cd51de17d064037e38e65a25bc8afaa44a00918b2b108ce78507ed2eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004616", "prompt": "Evaluate: (74 - 1 / (-16)) / 71 - (-60)", "solution_steps": ["Divide: 1 / (-16) = -1/16", "Subtract: 74 - (-1/16) = 1185/16", "Divide: (1185/16) / 71 = 1185/1136", "Subtract: 1185/1136 - (-60) = 69345/1136"], "final_answer": "69345/1136", "answer_type": "rational", "kind": "expression", "math_text": "(74 - 1 / (-16)) / 71 - (-60)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 1, \"c\": -16, \"d\": 71, \"e\": -60}", "seed": "10261040726168852341", "semantic_fingerprint": "sha256:487bd782375f4c6e721bdcd8e4202e2d02771fca011ac6e1343ae5be5989ac25", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004617", "prompt": "Evaluate: (-866 - (-45) + (-8) / (-64)) / (109 / (-1))", "solution_steps": ["Subtract: -866 - (-45) = -821", "Divide: -8 / (-64) = 1/8", "Add: -821 + 1/8 = -6567/8", "Divide: 109 / (-1) = -109", "Divide: (-6567/8) / (-109) = 6567/872"], "final_answer": "6567/872", "answer_type": "rational", "kind": "expression", "math_text": "(-866 - (-45) + (-8) / (-64)) / (109 / (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -866, \"b\": -45, \"c\": -8, \"d\": -64, \"e\": 109, \"f\": -1}", "seed": "15388907412300242475", "semantic_fingerprint": "sha256:78b9a5f633883e6ce8cffe56cbf4f8d4d2d49d7029736fcdf6b3e91b8764094d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004618", "prompt": "What value of x satisfies 12x = -12(x + 583) - 342?", "solution_steps": ["Expand: 12x = -12x - 6996 - 342", "Combine constants: 12x = -12x - 7338", "Add 12x to both sides: 24x = -7338", "Divide both sides by 24: x = -1223/4"], "final_answer": "-1223/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = -12(x + 583) - 342", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -12, \"c\": 583, \"d\": 342}", "seed": "12943816725486620695", "semantic_fingerprint": "sha256:8191a5df3e7764bb3daa036d69da9c071ce57fe0536b7e02c78f50ac5696d0b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004619", "prompt": "What value of x satisfies 10(x + 99) - 33 = x + 948?", "solution_steps": ["Expand: 10x + 990 - 33 = x + 948", "Combine constants: 10x + 957 = x + 948", "Subtract x from both sides: 9x + 957 = 948", "Subtract 957 from both sides: 9x = -9", "Divide both sides by 9: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 99) - 33 = x + 948", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 99, \"c\": 33, \"e\": 948, \"x\": -1}", "seed": "2980073209288895337", "semantic_fingerprint": "sha256:c640290b61faf7cc08546a6f6807c46d050bf16211e53d17df66b06b4c3f439b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004620", "prompt": "Solve for x: 6x - 180 = -9x - 16", "solution_steps": ["Add 9x to both sides: 15x - 180 = -16", "Add 180 to both sides: 15x = 164", "Divide both sides by 15: x = 164/15"], "final_answer": "164/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 180 = -9x - 16", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 180, \"c\": -9, \"d\": 16}", "seed": "8744530264612216568", "semantic_fingerprint": "sha256:1080075b5b3da4c583f3f127bea7dea4fa9926889fd4bd12368859072238f0c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004621", "prompt": "Compute: (31 + (-49 + (-2))) * (60 / 4)", "solution_steps": ["Add: -49 + (-2) = -51", "Add: 31 + (-51) = -20", "Divide: 60 / 4 = 15", "Multiply: -20 * 15 = -300"], "final_answer": "-300", "answer_type": "integer", "kind": "expression", "math_text": "(31 + (-49 + (-2))) * (60 / 4)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -49, \"c\": -2, \"d\": 60, \"e\": 4}", "seed": "16201926043028450340", "semantic_fingerprint": "sha256:1ad685bbe4f8e48a30f6713431ab94336b92a253cbd0ff535eb445270a1c3923", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004622", "prompt": "Find x: 6x = -4(x + 59) + 200", "solution_steps": ["Expand: 6x = -4x - 236 + 200", "Combine constants: 6x = -4x - 36", "Add 4x to both sides: 10x = -36", "Divide both sides by 10: x = -18/5"], "final_answer": "-18/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = -4(x + 59) + 200", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": 59, \"d\": 200}", "seed": "4309167770255547518", "semantic_fingerprint": "sha256:411a9ed431bc57eb18d068deda199b4ed31c09cbadcd5cb2b377734236a9418d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004623", "prompt": "Evaluate: 0 / (41 * (-754)) * (-7 * 33 + (-424))", "solution_steps": ["Multiply: 41 * (-754) = -30914", "Divide: 0 / (-30914) = 0", "Multiply: -7 * 33 = -231", "Add: -231 + (-424) = -655", "Multiply: 0 * (-655) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (41 * (-754)) * (-7 * 33 + (-424))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 41, \"c\": -754, \"d\": -7, \"e\": 33, \"f\": -424}", "seed": "16412744457229890074", "semantic_fingerprint": "sha256:d5f0f7d89e17e7b73b97632fd1e288ef5f208aaa8278050bf7d0bd3695df4ff3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004624", "prompt": "Evaluate: -565 + (744 - 3) + 260", "solution_steps": ["Subtract: 744 - 3 = 741", "Add: -565 + 741 = 176", "Add: 176 + 260 = 436"], "final_answer": "436", "answer_type": "integer", "kind": "expression", "math_text": "-565 + (744 - 3) + 260", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -565, \"b\": 744, \"c\": 3, \"d\": 260}", "seed": "6327018656512306047", "semantic_fingerprint": "sha256:514bdd87d6f0cc995ccbd184e5b7412360d43955eebf486a0520b8592ab7b29d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004625", "prompt": "What value of x satisfies -6(x - 66) - 9 = x + 7?", "solution_steps": ["Expand: -6x + 396 - 9 = x + 7", "Combine constants: -6x + 387 = x + 7", "Subtract x from both sides: -7x + 387 = 7", "Subtract 387 from both sides: -7x = -380", "Divide both sides by -7: x = 380/7"], "final_answer": "380/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 66) - 9 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 66, \"c\": 9, \"d\": 7}", "seed": "8862455217997211541", "semantic_fingerprint": "sha256:5eaf66a016b77af031229e45c39b82c3da5918355677fc0239c58872d6a0f7f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004626", "prompt": "Calculate: 87 / (6 / (-48 * (37 / (-20))) / 73)", "solution_steps": ["Divide: 37 / (-20) = -37/20", "Multiply: -48 * (-37/20) = 444/5", "Divide: 6 / (444/5) = 5/74", "Divide: (5/74) / 73 = 5/5402", "Divide: 87 / (5/5402) = 469974/5"], "final_answer": "469974/5", "answer_type": "rational", "kind": "expression", "math_text": "87 / (6 / (-48 * (37 / (-20))) / 73)", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (/ n (* n (/ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 6, \"c\": -48, \"d\": 37, \"e\": -20, \"f\": 73}", "seed": "8788612454759798988", "semantic_fingerprint": "sha256:f326b420aba69aaee591640be4d86a3dcfbd612852b069bfbfcac58dafeed0b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004627", "prompt": "Solve the equation -4(x - 73) - 190 = x + 177 for x.", "solution_steps": ["Expand: -4x + 292 - 190 = x + 177", "Combine constants: -4x + 102 = x + 177", "Subtract x from both sides: -5x + 102 = 177", "Subtract 102 from both sides: -5x = 75", "Divide both sides by -5: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 73) - 190 = x + 177", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 73, \"c\": 190, \"e\": 177, \"x\": -15}", "seed": "8813503056128634379", "semantic_fingerprint": "sha256:8e180ffada5f20842acdd1718c3f891356b4c7cd56943e0af7632d8378758f9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004628", "prompt": "Evaluate: -14 / 20 * (69 / (-78))", "solution_steps": ["Divide: -14 / 20 = -7/10", "Divide: 69 / (-78) = -23/26", "Multiply: (-7/10) * (-23/26) = 161/260"], "final_answer": "161/260", "answer_type": "rational", "kind": "expression", "math_text": "-14 / 20 * (69 / (-78))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 20, \"c\": 69, \"d\": -78}", "seed": "10905420441966496357", "semantic_fingerprint": "sha256:94d70dddf623e44dcd624ae867d9edf6a3d8dab2bc8fa41fd15e045ce5e3fbc5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004629", "prompt": "Evaluate: 72 * 804 + 79 + (-47) / 7", "solution_steps": ["Multiply: 72 * 804 = 57888", "Add: 57888 + 79 = 57967", "Divide: -47 / 7 = -47/7", "Add: 57967 + (-47/7) = 405722/7"], "final_answer": "405722/7", "answer_type": "rational", "kind": "expression", "math_text": "72 * 804 + 79 + (-47) / 7", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 804, \"c\": 79, \"d\": -47, \"e\": 7}", "seed": "11654613200449841478", "semantic_fingerprint": "sha256:7a7029bac0ec99662ae35aa10b2f2c3a3c4714c729553a17f905162e701a2e68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004630", "prompt": "Compute: 54 - (-577 - (-17)) * (-704) + 7", "solution_steps": ["Subtract: -577 - (-17) = -560", "Multiply: -560 * (-704) = 394240", "Subtract: 54 - 394240 = -394186", "Add: -394186 + 7 = -394179"], "final_answer": "-394179", "answer_type": "integer", "kind": "expression", "math_text": "54 - (-577 - (-17)) * (-704) + 7", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -577, \"c\": -17, \"d\": -704, \"e\": 7}", "seed": "10262566657005354141", "semantic_fingerprint": "sha256:d155b313928a1c85e6624d3e3ffa454fbb5b90cfe72a34a91bff763945a14e05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004631", "prompt": "What value of x satisfies 4x - 642 = 12x - 538?", "solution_steps": ["Subtract 12x from both sides: -8x - 642 = -538", "Add 642 to both sides: -8x = 104", "Divide both sides by -8: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 642 = 12x - 538", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 642, \"c\": 12, \"e\": -538, \"x\": -13}", "seed": "10369452869918680586", "semantic_fingerprint": "sha256:2f1e27fe8879c3db09d6595881453cbd5de39aff78291d4326044e0c65af8058", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004632", "prompt": "Compute: (8 - (-2 + 7)) * ((68 + (-7)) / (-9))", "solution_steps": ["Add: -2 + 7 = 5", "Subtract: 8 - 5 = 3", "Add: 68 + (-7) = 61", "Divide: 61 / (-9) = -61/9", "Multiply: 3 * (-61/9) = -61/3"], "final_answer": "-61/3", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-2 + 7)) * ((68 + (-7)) / (-9))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": 7, \"d\": 68, \"e\": -7, \"f\": -9}", "seed": "15289740463140201690", "semantic_fingerprint": "sha256:f83b3fca1c259bdb8b536985e33c5c0e7c559ef9a3e41fbc1032d0ab4009ba16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004633", "prompt": "Solve for x: 5x - 655 = 7(x - 23)", "solution_steps": ["Expand: 5x - 655 = 7x - 161", "Subtract 7x from both sides: -2x - 655 = -161", "Add 655 to both sides: -2x = 494", "Divide both sides by -2: x = -247"], "final_answer": "-247", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 655 = 7(x - 23)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 655, \"c\": 7, \"d\": 23}", "seed": "5428825332758648701", "semantic_fingerprint": "sha256:58df1696fe5c74c2ceedc5fc480bc8927cf82cfd47ca8d681012a38183816401", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004634", "prompt": "What is 33 * 9 - 791 + (-92 - (-139) - (-10))?", "solution_steps": ["Multiply: 33 * 9 = 297", "Subtract: 297 - 791 = -494", "Subtract: -92 - (-139) = 47", "Subtract: 47 - (-10) = 57", "Add: -494 + 57 = -437"], "final_answer": "-437", "answer_type": "integer", "kind": "expression", "math_text": "33 * 9 - 791 + (-92 - (-139) - (-10))", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 9, \"c\": 791, \"d\": -92, \"e\": -139, \"f\": -10}", "seed": "7495655098413198339", "semantic_fingerprint": "sha256:f244774e6d7a694f968c150c9a0e2d6d85c7e84c34284ffa5209ba70f1e68eb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004635", "prompt": "What value of x satisfies -8x - 769 = -7x - 753?", "solution_steps": ["Add 7x to both sides: -x - 769 = -753", "Add 769 to both sides: -x = 16", "Divide both sides by -1: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 769 = -7x - 753", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 769, \"c\": -7, \"e\": -753, \"x\": -16}", "seed": "11378157775751362693", "semantic_fingerprint": "sha256:3b3d9dced163c0f988ac76e63a92ba4aed31a7767e1ba595bda446a89cb51b0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004636", "prompt": "Evaluate: 10 * 9 + 3 * 411", "solution_steps": ["Multiply: 10 * 9 = 90", "Multiply: 3 * 411 = 1233", "Add: 90 + 1233 = 1323"], "final_answer": "1323", "answer_type": "integer", "kind": "expression", "math_text": "10 * 9 + 3 * 411", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 3, \"d\": 411}", "seed": "16459475959466788427", "semantic_fingerprint": "sha256:fe4a587570709a5a2026a349f1977a2b7773784b145eee1e9e98efc7635b3568", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004637", "prompt": "Calculate: 7 - (72 + (-123)) / (-6)", "solution_steps": ["Add: 72 + (-123) = -51", "Divide: -51 / (-6) = 17/2", "Subtract: 7 - 17/2 = -3/2"], "final_answer": "-3/2", "answer_type": "rational", "kind": "expression", "math_text": "7 - (72 + (-123)) / (-6)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 72, \"c\": -123, \"d\": -6}", "seed": "14216999247026145614", "semantic_fingerprint": "sha256:8c2ff33df1efcc699ac23cc7ebf27c4973a677e0695886245faa55147f53b2d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004638", "prompt": "Solve the equation 4x - 447 = -6x - 437 for x.", "solution_steps": ["Add 6x to both sides: 10x - 447 = -437", "Add 447 to both sides: 10x = 10", "Divide both sides by 10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 447 = -6x - 437", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 447, \"c\": -6, \"e\": -437, \"x\": 1}", "seed": "6886389434983278461", "semantic_fingerprint": "sha256:b6670c263ab9407d7e5c72d750518ab797f4eeb9b5c5105183835c0d027b6563", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004639", "prompt": "What is (-36 + 23 / (-628)) * (89 - 64)?", "solution_steps": ["Divide: 23 / (-628) = -23/628", "Add: -36 + (-23/628) = -22631/628", "Subtract: 89 - 64 = 25", "Multiply: (-22631/628) * 25 = -565775/628"], "final_answer": "-565775/628", "answer_type": "rational", "kind": "expression", "math_text": "(-36 + 23 / (-628)) * (89 - 64)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 23, \"c\": -628, \"d\": 89, \"e\": 64}", "seed": "6557587356665322058", "semantic_fingerprint": "sha256:5b034a275ccae38e7b2dc084f141c3397491a224e037a3d1e782aa94db794d70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004640", "prompt": "Solve for x: -3x - 78 = 12x - 363", "solution_steps": ["Subtract 12x from both sides: -15x - 78 = -363", "Add 78 to both sides: -15x = -285", "Divide both sides by -15: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 78 = 12x - 363", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 78, \"c\": 12, \"e\": -363, \"x\": 19}", "seed": "8504474605464794071", "semantic_fingerprint": "sha256:c7b8c92fdbb15fdbafd2e41e345b5f779ad886a73fbbe1b6e72fcc8b72839957", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004641", "prompt": "Calculate: 575 * (18 * 4) + 4", "solution_steps": ["Multiply: 18 * 4 = 72", "Multiply: 575 * 72 = 41400", "Add: 41400 + 4 = 41404"], "final_answer": "41404", "answer_type": "integer", "kind": "expression", "math_text": "575 * (18 * 4) + 4", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 575, \"b\": 18, \"c\": 4, \"d\": 4}", "seed": "5735591029569489301", "semantic_fingerprint": "sha256:ec9e8365ebc2274dbf87038114bca8a8b3afcccdb512a373fc99b76e03dff811", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004642", "prompt": "What is 110 * (49 * (-5)) + 24?", "solution_steps": ["Multiply: 49 * (-5) = -245", "Multiply: 110 * (-245) = -26950", "Add: -26950 + 24 = -26926"], "final_answer": "-26926", "answer_type": "integer", "kind": "expression", "math_text": "110 * (49 * (-5)) + 24", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 110, \"b\": 49, \"c\": -5, \"d\": 24}", "seed": "232459727734227430", "semantic_fingerprint": "sha256:ef479824a3eef2bfcdc90ee498784cd90bcb911b2db7dd88988ba769a701d9e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004643", "prompt": "Compute: 56 * (-2) - (744 - 381 - (467 + (-868)))", "solution_steps": ["Multiply: 56 * (-2) = -112", "Subtract: 744 - 381 = 363", "Add: 467 + (-868) = -401", "Subtract: 363 - (-401) = 764", "Subtract: -112 - 764 = -876"], "final_answer": "-876", "answer_type": "integer", "kind": "expression", "math_text": "56 * (-2) - (744 - 381 - (467 + (-868)))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -2, \"c\": 744, \"d\": 381, \"e\": 467, \"f\": -868}", "seed": "17965505413816047071", "semantic_fingerprint": "sha256:3659ca51bcaf9dc40af5f197464f363f2f3c873a6f660bb019249b10f55b0daa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004644", "prompt": "Find x: 4(x + 7) + 935 = x + 912", "solution_steps": ["Expand: 4x + 28 + 935 = x + 912", "Combine constants: 4x + 963 = x + 912", "Subtract x from both sides: 3x + 963 = 912", "Subtract 963 from both sides: 3x = -51", "Divide both sides by 3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 7) + 935 = x + 912", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 935, \"e\": 912, \"x\": -17}", "seed": "7587124791155195569", "semantic_fingerprint": "sha256:b266be125efd9120c4ca827b6cccd3208172b97de56459b326f1cc5f6f4eba87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004645", "prompt": "Compute: 8 - (-2 + (-90)) / (-7)", "solution_steps": ["Add: -2 + (-90) = -92", "Divide: -92 / (-7) = 92/7", "Subtract: 8 - 92/7 = -36/7"], "final_answer": "-36/7", "answer_type": "rational", "kind": "expression", "math_text": "8 - (-2 + (-90)) / (-7)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": -90, \"d\": -7}", "seed": "16827021651276226117", "semantic_fingerprint": "sha256:25a1d84d252abd8014ef0b2ec4b0ec04260338c0ba2a0bee608338d21833c52e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004646", "prompt": "Find x: -12x - 4 = 6x - 328", "solution_steps": ["Subtract 6x from both sides: -18x - 4 = -328", "Add 4 to both sides: -18x = -324", "Divide both sides by -18: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 4 = 6x - 328", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"c\": 6, \"e\": -328, \"x\": 18}", "seed": "16371873006166658895", "semantic_fingerprint": "sha256:9d6753ec0d5435efc1908c2ef78401398bb8ef03d0f4f0009f4e5ffec1cb5813", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004647", "prompt": "What is 2 - (-97 - (-9)) - (-469 + (-76))?", "solution_steps": ["Subtract: -97 - (-9) = -88", "Subtract: 2 - (-88) = 90", "Add: -469 + (-76) = -545", "Subtract: 90 - (-545) = 635"], "final_answer": "635", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-97 - (-9)) - (-469 + (-76))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -97, \"c\": -9, \"d\": -469, \"e\": -76}", "seed": "14548257577042657598", "semantic_fingerprint": "sha256:f589216b8cf47cffa92696b3ef268822fb0cd0aa0476d5373495927c93d048ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004648", "prompt": "Find x: 2(x + 72) = 10(x - 57) + 754", "solution_steps": ["Expand: 2x + 144 = 10(x - 57) + 754", "Expand: 2x + 144 = 10x - 570 + 754", "Combine constants: 2x + 144 = 10x + 184", "Subtract 10x from both sides: -8x + 144 = 184", "Subtract 144 from both sides: -8x = 40", "Divide both sides by -8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 72) = 10(x - 57) + 754", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 72, \"c\": 10, \"d\": 57, \"f\": 754, \"x\": -5}", "seed": "9988631039290571674", "semantic_fingerprint": "sha256:76788311ea70bf30e877d554908e1be9fcc19b9a2f7da6eaca6f1e3cb22fdb17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004649", "prompt": "Find x: 6x - 32 = 8x - 32", "solution_steps": ["Subtract 8x from both sides: -2x - 32 = -32", "Add 32 to both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 32 = 8x - 32", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 32, \"c\": 8, \"e\": -32, \"x\": 0}", "seed": "11777699386784505080", "semantic_fingerprint": "sha256:3727c6fa9343189c07f275a98e8f4bbc0ce8aca6115e2671f53ad77e2a52fc81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004650", "prompt": "Solve the equation -8(x + 4) - 8 = x + 448 for x.", "solution_steps": ["Expand: -8x - 32 - 8 = x + 448", "Combine constants: -8x - 40 = x + 448", "Subtract x from both sides: -9x - 40 = 448", "Add 40 to both sides: -9x = 488", "Divide both sides by -9: x = -488/9"], "final_answer": "-488/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 4) - 8 = x + 448", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": 8, \"d\": 448}", "seed": "13542552880586276696", "semantic_fingerprint": "sha256:0a0e5ddfe8e970a1d3afb52db06a09eaeb575a09f64e2ce2c4c13d1c72225d01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004651", "prompt": "Compute: -867 - (-5) - (-30) * (-2) / (4 + 355)", "solution_steps": ["Subtract: -867 - (-5) = -862", "Multiply: -30 * (-2) = 60", "Add: 4 + 355 = 359", "Divide: 60 / 359 = 60/359", "Subtract: -862 - 60/359 = -309518/359"], "final_answer": "-309518/359", "answer_type": "rational", "kind": "expression", "math_text": "-867 - (-5) - (-30) * (-2) / (4 + 355)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -867, \"b\": -5, \"c\": -30, \"d\": -2, \"e\": 4, \"f\": 355}", "seed": "2398178007349604067", "semantic_fingerprint": "sha256:f7bb382f88127650e1133a6d370f972d9920e50cfb16fd40787efdf85f3e13f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004652", "prompt": "Calculate: (-63 - 6) / (-126) / (155 / (-867) * (-23))", "solution_steps": ["Subtract: -63 - 6 = -69", "Divide: -69 / (-126) = 23/42", "Divide: 155 / (-867) = -155/867", "Multiply: (-155/867) * (-23) = 3565/867", "Divide: (23/42) / (3565/867) = 289/2170"], "final_answer": "289/2170", "answer_type": "rational", "kind": "expression", "math_text": "(-63 - 6) / (-126) / (155 / (-867) * (-23))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 6, \"c\": -126, \"d\": 155, \"e\": -867, \"f\": -23}", "seed": "10409385000002520448", "semantic_fingerprint": "sha256:bb6f26a07ce5199727349bde2578971a962863c8cb008eaf0a8702c519289100", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004653", "prompt": "Compute: (-996 - (-63) / 4 - 45 + 47) * 780", "solution_steps": ["Divide: -63 / 4 = -63/4", "Subtract: -996 - (-63/4) = -3921/4", "Subtract: -3921/4 - 45 = -4101/4", "Add: -4101/4 + 47 = -3913/4", "Multiply: (-3913/4) * 780 = -763035"], "final_answer": "-763035", "answer_type": "integer", "kind": "expression", "math_text": "(-996 - (-63) / 4 - 45 + 47) * 780", "variable": null, "family": "expression_5op", "shape": "(* (+ (- (- n (/ n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -996, \"b\": -63, \"c\": 4, \"d\": 45, \"e\": 47, \"f\": 780}", "seed": "6077107804222504097", "semantic_fingerprint": "sha256:9515ea3768692f486252ee014e7e56637d984b5116d4ce9f2aaad64413940608", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004654", "prompt": "What is -2 / (-3 - 18) * 29 - 5 + 7?", "solution_steps": ["Subtract: -3 - 18 = -21", "Divide: -2 / (-21) = 2/21", "Multiply: (2/21) * 29 = 58/21", "Subtract: 58/21 - 5 = -47/21", "Add: -47/21 + 7 = 100/21"], "final_answer": "100/21", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-3 - 18) * 29 - 5 + 7", "variable": null, "family": "expression_5op", "shape": "(+ (- (* (/ n (- n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -3, \"c\": 18, \"d\": 29, \"e\": 5, \"f\": 7}", "seed": "763988190097349526", "semantic_fingerprint": "sha256:4f7382d326f98830b197ce22187f7b7c1ffbe6aa845ce202f33a4e03ec29a6cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004655", "prompt": "Find x: 6x - 2 = 10(x - 6)", "solution_steps": ["Expand: 6x - 2 = 10x - 60", "Subtract 10x from both sides: -4x - 2 = -60", "Add 2 to both sides: -4x = -58", "Divide both sides by -4: x = 29/2"], "final_answer": "29/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 2 = 10(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 10, \"d\": 6}", "seed": "4490965077180610672", "semantic_fingerprint": "sha256:7cc453e9152c143a320e24b4b57ddb3113f3724442bafa65fef1833f8826e71e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004656", "prompt": "Calculate: (8 - (5 + (-67))) / (-1) + (-4)", "solution_steps": ["Add: 5 + (-67) = -62", "Subtract: 8 - (-62) = 70", "Divide: 70 / (-1) = -70", "Add: -70 + (-4) = -74"], "final_answer": "-74", "answer_type": "integer", "kind": "expression", "math_text": "(8 - (5 + (-67))) / (-1) + (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": -67, \"d\": -1, \"e\": -4}", "seed": "14564395719354620975", "semantic_fingerprint": "sha256:63b06224ef0da27393b62e48ea82d6bf352a3833c11e60d619c4f7c9140a27b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004657", "prompt": "Calculate: 0 / (-496 + (-9) * (-3 + 48 * 721))", "solution_steps": ["Multiply: 48 * 721 = 34608", "Add: -3 + 34608 = 34605", "Multiply: -9 * 34605 = -311445", "Add: -496 + (-311445) = -311941", "Divide: 0 / (-311941) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-496 + (-9) * (-3 + 48 * 721))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (* n (+ n (* n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -496, \"c\": -9, \"d\": -3, \"e\": 48, \"f\": 721}", "seed": "18424382447877920823", "semantic_fingerprint": "sha256:a645a4a25e2276d510efb341b4f1090065bc797b87305b12ff88d16c513cb1df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004658", "prompt": "What value of x satisfies 7(x + 92) - 98 = x + 642?", "solution_steps": ["Expand: 7x + 644 - 98 = x + 642", "Combine constants: 7x + 546 = x + 642", "Subtract x from both sides: 6x + 546 = 642", "Subtract 546 from both sides: 6x = 96", "Divide both sides by 6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 92) - 98 = x + 642", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 92, \"c\": 98, \"e\": 642, \"x\": 16}", "seed": "6028424989527442585", "semantic_fingerprint": "sha256:f079b2b309117db174463cecf407f1e5fd8cea75fb20373b346c692e88f127a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004659", "prompt": "Evaluate: -5 / (-52 / 252) - 704 * (-8)", "solution_steps": ["Divide: -52 / 252 = -13/63", "Divide: -5 / (-13/63) = 315/13", "Multiply: 704 * (-8) = -5632", "Subtract: 315/13 - (-5632) = 73531/13"], "final_answer": "73531/13", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-52 / 252) - 704 * (-8)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -52, \"c\": 252, \"d\": 704, \"e\": -8}", "seed": "7229280980388868148", "semantic_fingerprint": "sha256:ef7f72bfb3b7e7bc9de66644c35154a6ad046f75796022109ee6ce57f001242c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004660", "prompt": "Compute: -8 + (20 - (-936 + 23))", "solution_steps": ["Add: -936 + 23 = -913", "Subtract: 20 - (-913) = 933", "Add: -8 + 933 = 925"], "final_answer": "925", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (20 - (-936 + 23))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 20, \"c\": -936, \"d\": 23}", "seed": "2545384765222846828", "semantic_fingerprint": "sha256:3ea3be6e14ec306b326f6387bd03f87d37596cdde57785cd2c158de7881c78b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004661", "prompt": "What is -808 * (-41 * (-21)) + (-7)?", "solution_steps": ["Multiply: -41 * (-21) = 861", "Multiply: -808 * 861 = -695688", "Add: -695688 + (-7) = -695695"], "final_answer": "-695695", "answer_type": "integer", "kind": "expression", "math_text": "-808 * (-41 * (-21)) + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -808, \"b\": -41, \"c\": -21, \"d\": -7}", "seed": "6078401543036701379", "semantic_fingerprint": "sha256:5d1495be33cf61291efe45aebf2fb7b7fdf1144cece32ea6fef75184f3031edf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004662", "prompt": "Evaluate: 26 * 22 + (-31) * 3", "solution_steps": ["Multiply: 26 * 22 = 572", "Multiply: -31 * 3 = -93", "Add: 572 + (-93) = 479"], "final_answer": "479", "answer_type": "integer", "kind": "expression", "math_text": "26 * 22 + (-31) * 3", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 22, \"c\": -31, \"d\": 3}", "seed": "16294320270812100319", "semantic_fingerprint": "sha256:c316f398204b2a6f0ea92fb08a379a67428a2e14bb3876bae638d7cd0f9a9e93", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004663", "prompt": "Find x: 10x = -9(x + 7) + 6", "solution_steps": ["Expand: 10x = -9x - 63 + 6", "Combine constants: 10x = -9x - 57", "Add 9x to both sides: 19x = -57", "Divide both sides by 19: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -9(x + 7) + 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -9, \"c\": 7, \"d\": 6}", "seed": "4338776532044512424", "semantic_fingerprint": "sha256:c02dc205e40b91111633d6f5d5037f09cedd0d171f8fc555af789e3dfb065d35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004664", "prompt": "Compute: 7 / (-1 + (-45)) * (-88 * (-21))", "solution_steps": ["Add: -1 + (-45) = -46", "Divide: 7 / (-46) = -7/46", "Multiply: -88 * (-21) = 1848", "Multiply: (-7/46) * 1848 = -6468/23"], "final_answer": "-6468/23", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-1 + (-45)) * (-88 * (-21))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -1, \"c\": -45, \"d\": -88, \"e\": -21}", "seed": "17628571047760322036", "semantic_fingerprint": "sha256:098f09e06a7fb5c698f88339488aefee96a964f1af683f6dd10b7d58a64a0fe1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004665", "prompt": "What is 517 * (6 - 599) + 19 * (-669)?", "solution_steps": ["Subtract: 6 - 599 = -593", "Multiply: 517 * (-593) = -306581", "Multiply: 19 * (-669) = -12711", "Add: -306581 + (-12711) = -319292"], "final_answer": "-319292", "answer_type": "integer", "kind": "expression", "math_text": "517 * (6 - 599) + 19 * (-669)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 517, \"b\": 6, \"c\": 599, \"d\": 19, \"e\": -669}", "seed": "8707513751913423114", "semantic_fingerprint": "sha256:341881fdde0d15790ddd4c6057e76e77515ec81ef374d04f488cca800923a90b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004666", "prompt": "Solve the equation 3(x + 3) - 39 = x + 6 for x.", "solution_steps": ["Expand: 3x + 9 - 39 = x + 6", "Combine constants: 3x - 30 = x + 6", "Subtract x from both sides: 2x - 30 = 6", "Add 30 to both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 3) - 39 = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 39, \"e\": 6, \"x\": 18}", "seed": "16329158848871878965", "semantic_fingerprint": "sha256:761e40d8d21942fdb9634e348fc6a0bca283d810fd115e4cc6c85605da80a592", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004667", "prompt": "Compute: -2 + (6 - (-1)) + (-151)", "solution_steps": ["Subtract: 6 - (-1) = 7", "Add: -2 + 7 = 5", "Add: 5 + (-151) = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (6 - (-1)) + (-151)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": -1, \"d\": -151}", "seed": "13755971871467954574", "semantic_fingerprint": "sha256:91e1c7c64326950e4bac1752268a23e26b5259ac95e4d7e2aa89571c0f5ea3e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004668", "prompt": "Evaluate: 587 / (-54 + 6) + (-44) * 4", "solution_steps": ["Add: -54 + 6 = -48", "Divide: 587 / (-48) = -587/48", "Multiply: -44 * 4 = -176", "Add: -587/48 + (-176) = -9035/48"], "final_answer": "-9035/48", "answer_type": "rational", "kind": "expression", "math_text": "587 / (-54 + 6) + (-44) * 4", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 587, \"b\": -54, \"c\": 6, \"d\": -44, \"e\": 4}", "seed": "2986006192862086312", "semantic_fingerprint": "sha256:663c1084de996e07292b808b8a09f5bf40dbe2dba8948e91c534896ec3098726", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004669", "prompt": "Compute: -81 / (-15) - (79 + (-604) / (-717))", "solution_steps": ["Divide: -81 / (-15) = 27/5", "Divide: -604 / (-717) = 604/717", "Add: 79 + 604/717 = 57247/717", "Subtract: 27/5 - 57247/717 = -266876/3585"], "final_answer": "-266876/3585", "answer_type": "rational", "kind": "expression", "math_text": "-81 / (-15) - (79 + (-604) / (-717))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -15, \"c\": 79, \"d\": -604, \"e\": -717}", "seed": "5070670847791509501", "semantic_fingerprint": "sha256:0488411800289556e09a488a07bd2d8776ec8d12edc8ae4c023cab62a1bf948b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004670", "prompt": "Find x: -11(x - 2) - 394 = x + 7", "solution_steps": ["Expand: -11x + 22 - 394 = x + 7", "Combine constants: -11x - 372 = x + 7", "Subtract x from both sides: -12x - 372 = 7", "Add 372 to both sides: -12x = 379", "Divide both sides by -12: x = -379/12"], "final_answer": "-379/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 2) - 394 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"c\": 394, \"d\": 7}", "seed": "370750795098974256", "semantic_fingerprint": "sha256:25171b76372e984a6983df3ce437bc8cf3e25aa77b033db8fe80c010fd9d6c2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004671", "prompt": "Evaluate: 29 / 9 * (-96 + (-4) * 30) / 98", "solution_steps": ["Divide: 29 / 9 = 29/9", "Multiply: -4 * 30 = -120", "Add: -96 + (-120) = -216", "Multiply: (29/9) * (-216) = -696", "Divide: -696 / 98 = -348/49"], "final_answer": "-348/49", "answer_type": "rational", "kind": "expression", "math_text": "29 / 9 * (-96 + (-4) * 30) / 98", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) (+ n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 9, \"c\": -96, \"d\": -4, \"e\": 30, \"f\": 98}", "seed": "7018349906127468583", "semantic_fingerprint": "sha256:90ba4f5b260fd71e651b0912bfd10cfacfd1eac95f5b439854abe70f481a5d43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004672", "prompt": "Compute: -8 - (-325) - 7 - (811 - 9) * 96", "solution_steps": ["Subtract: -8 - (-325) = 317", "Subtract: 317 - 7 = 310", "Subtract: 811 - 9 = 802", "Multiply: 802 * 96 = 76992", "Subtract: 310 - 76992 = -76682"], "final_answer": "-76682", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-325) - 7 - (811 - 9) * 96", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -325, \"c\": 7, \"d\": 811, \"e\": 9, \"f\": 96}", "seed": "12282017447597125596", "semantic_fingerprint": "sha256:42cf26249b53685059b1507dd5f5d55cd68b6e999257b165fbb5c1dbc5b8d3ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004673", "prompt": "Solve for x: 9x = 2(x + 255) + 29", "solution_steps": ["Expand: 9x = 2x + 510 + 29", "Combine constants: 9x = 2x + 539", "Subtract 2x from both sides: 7x = 539", "Divide both sides by 7: x = 77"], "final_answer": "77", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 2(x + 255) + 29", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 255, \"d\": 29}", "seed": "13060338659311805752", "semantic_fingerprint": "sha256:0afab13314abe760036fd6a04adca132562c8ad9112e246cd1d10f17e2520a5d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004674", "prompt": "Calculate: -28 / 92 + (531 - (343 + 92 * 2))", "solution_steps": ["Divide: -28 / 92 = -7/23", "Multiply: 92 * 2 = 184", "Add: 343 + 184 = 527", "Subtract: 531 - 527 = 4", "Add: -7/23 + 4 = 85/23"], "final_answer": "85/23", "answer_type": "rational", "kind": "expression", "math_text": "-28 / 92 + (531 - (343 + 92 * 2))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- n (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 92, \"c\": 531, \"d\": 343, \"e\": 92, \"f\": 2}", "seed": "15153708838042220503", "semantic_fingerprint": "sha256:3954a1602d7ad2fb9ed6fe5fde8b63de10f2f42765d151753fb526e0ea5ab0ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004675", "prompt": "Find x: 5x - 4 = 2(x - 6)", "solution_steps": ["Expand: 5x - 4 = 2x - 12", "Subtract 2x from both sides: 3x - 4 = -12", "Add 4 to both sides: 3x = -8", "Divide both sides by 3: x = -8/3"], "final_answer": "-8/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 4 = 2(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 2, \"d\": 6}", "seed": "16068818703062381567", "semantic_fingerprint": "sha256:ad8641f16ba38f2e35e7f2cbaa4a929a29df0f99c330606d52791f504f4b1a4f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004676", "prompt": "What is 15 - (-252 + (-4 - 6)) * (-57)?", "solution_steps": ["Subtract: -4 - 6 = -10", "Add: -252 + (-10) = -262", "Multiply: -262 * (-57) = 14934", "Subtract: 15 - 14934 = -14919"], "final_answer": "-14919", "answer_type": "integer", "kind": "expression", "math_text": "15 - (-252 + (-4 - 6)) * (-57)", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -252, \"c\": -4, \"d\": 6, \"e\": -57}", "seed": "9504791591098653990", "semantic_fingerprint": "sha256:d208a62e8a438b19692ef7e631a6312ff9434233def8f42b10958ca25e158da0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004677", "prompt": "Calculate: 350 / 23 + (6 + (7 - (-934)) / 7)", "solution_steps": ["Divide: 350 / 23 = 350/23", "Subtract: 7 - (-934) = 941", "Divide: 941 / 7 = 941/7", "Add: 6 + 941/7 = 983/7", "Add: 350/23 + 983/7 = 25059/161"], "final_answer": "25059/161", "answer_type": "rational", "kind": "expression", "math_text": "350 / 23 + (6 + (7 - (-934)) / 7)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ n (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 350, \"b\": 23, \"c\": 6, \"d\": 7, \"e\": -934, \"f\": 7}", "seed": "5018526594423178678", "semantic_fingerprint": "sha256:8443da0fc387025fcac93b270be1fc5ac20d96959cd764ffcf206a67a84e0d8c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004678", "prompt": "Solve the equation -5(x + 1) = 12(x - 9) + 137 for x.", "solution_steps": ["Expand: -5x - 5 = 12(x - 9) + 137", "Expand: -5x - 5 = 12x - 108 + 137", "Combine constants: -5x - 5 = 12x + 29", "Subtract 12x from both sides: -17x - 5 = 29", "Add 5 to both sides: -17x = 34", "Divide both sides by -17: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 1) = 12(x - 9) + 137", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 12, \"d\": 9, \"f\": 137, \"x\": -2}", "seed": "17454833030562041145", "semantic_fingerprint": "sha256:664d8667f67219d0b9d9649f4893a2c6e9de34a32c79bdb209e413215f71e626", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004679", "prompt": "Solve for x: 4(x + 72) = 12(x - 47) + 956", "solution_steps": ["Expand: 4x + 288 = 12(x - 47) + 956", "Expand: 4x + 288 = 12x - 564 + 956", "Combine constants: 4x + 288 = 12x + 392", "Subtract 12x from both sides: -8x + 288 = 392", "Subtract 288 from both sides: -8x = 104", "Divide both sides by -8: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 72) = 12(x - 47) + 956", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 72, \"c\": 12, \"d\": 47, \"f\": 956, \"x\": -13}", "seed": "13459207219706852645", "semantic_fingerprint": "sha256:bc8f8f39277af283ae507290b8b8980bc192554e5e50227536b81df2f15a8466", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004680", "prompt": "What is 298 * (-24) * (9 / (-92))?", "solution_steps": ["Multiply: 298 * (-24) = -7152", "Divide: 9 / (-92) = -9/92", "Multiply: -7152 * (-9/92) = 16092/23"], "final_answer": "16092/23", "answer_type": "rational", "kind": "expression", "math_text": "298 * (-24) * (9 / (-92))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 298, \"b\": -24, \"c\": 9, \"d\": -92}", "seed": "9976141026744427123", "semantic_fingerprint": "sha256:632558092539fe9e686f47cbd8a394f3559d8d751183f20f9430b10adf20f72a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004681", "prompt": "What is -905 - (-65 + 894) * (-627 - 17)?", "solution_steps": ["Add: -65 + 894 = 829", "Subtract: -627 - 17 = -644", "Multiply: 829 * (-644) = -533876", "Subtract: -905 - (-533876) = 532971"], "final_answer": "532971", "answer_type": "integer", "kind": "expression", "math_text": "-905 - (-65 + 894) * (-627 - 17)", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -905, \"b\": -65, \"c\": 894, \"d\": -627, \"e\": 17}", "seed": "10543863609457730715", "semantic_fingerprint": "sha256:b2309bee005679226d7db77bb2ba77feda1536b52b6166a27596ec9edfee3f7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004682", "prompt": "Compute: (-8 / (-34) + (-22)) * (57 * 2) - 911", "solution_steps": ["Divide: -8 / (-34) = 4/17", "Add: 4/17 + (-22) = -370/17", "Multiply: 57 * 2 = 114", "Multiply: (-370/17) * 114 = -42180/17", "Subtract: -42180/17 - 911 = -57667/17"], "final_answer": "-57667/17", "answer_type": "rational", "kind": "expression", "math_text": "(-8 / (-34) + (-22)) * (57 * 2) - 911", "variable": null, "family": "expression_5op", "shape": "(- (* (+ (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -34, \"c\": -22, \"d\": 57, \"e\": 2, \"f\": 911}", "seed": "12202544431934517191", "semantic_fingerprint": "sha256:30d02cf42059126267682c4e40412ceb0ab75538525faea915b9f366a7efc670", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004683", "prompt": "What value of x satisfies 7(x - 647) - 337 = x + 26?", "solution_steps": ["Expand: 7x - 4529 - 337 = x + 26", "Combine constants: 7x - 4866 = x + 26", "Subtract x from both sides: 6x - 4866 = 26", "Add 4866 to both sides: 6x = 4892", "Divide both sides by 6: x = 2446/3"], "final_answer": "2446/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 647) - 337 = x + 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 647, \"c\": 337, \"d\": 26}", "seed": "12869284793697127307", "semantic_fingerprint": "sha256:7465dddc214694828e05986de2980eeba20750a148197f1df3d265ebf66585f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004684", "prompt": "What is 9 + (-8 + (-956) * (-6) + (-71))?", "solution_steps": ["Multiply: -956 * (-6) = 5736", "Add: -8 + 5736 = 5728", "Add: 5728 + (-71) = 5657", "Add: 9 + 5657 = 5666"], "final_answer": "5666", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-8 + (-956) * (-6) + (-71))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": -956, \"d\": -6, \"e\": -71}", "seed": "17361099322404994712", "semantic_fingerprint": "sha256:cd52a7470e7a2765b0c28a88a3011a0fa9b652b98dbd97534be509af3196eaa1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004685", "prompt": "Solve for x: 3(x + 69) + 71 = x + 304", "solution_steps": ["Expand: 3x + 207 + 71 = x + 304", "Combine constants: 3x + 278 = x + 304", "Subtract x from both sides: 2x + 278 = 304", "Subtract 278 from both sides: 2x = 26", "Divide both sides by 2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 69) + 71 = x + 304", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 69, \"c\": 71, \"e\": 304, \"x\": 13}", "seed": "13222129569164568386", "semantic_fingerprint": "sha256:6a7c0db1401202df6759b40a926f21b8235e633ff8da75cf81209dbea16568e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004686", "prompt": "What is 2 * (-5) + (-5) + (-37 - 25)?", "solution_steps": ["Multiply: 2 * (-5) = -10", "Add: -10 + (-5) = -15", "Subtract: -37 - 25 = -62", "Add: -15 + (-62) = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-5) + (-5) + (-37 - 25)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -5, \"c\": -5, \"d\": -37, \"e\": 25}", "seed": "17618077428862145569", "semantic_fingerprint": "sha256:f892f061304a862542b712b193f4d2629162f2ac9c3bc627e31deba52c7053d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004687", "prompt": "Solve for x: 8x - 487 = -12x - 147", "solution_steps": ["Add 12x to both sides: 20x - 487 = -147", "Add 487 to both sides: 20x = 340", "Divide both sides by 20: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 487 = -12x - 147", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 487, \"c\": -12, \"e\": -147, \"x\": 17}", "seed": "459484095286698984", "semantic_fingerprint": "sha256:8b460d67657d03b371bdb96a5e2d2f68a9ffe8993cf38bf491c6d5fdcbec8c67", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004688", "prompt": "Find x: 10(x + 59) + 97 = x + 651", "solution_steps": ["Expand: 10x + 590 + 97 = x + 651", "Combine constants: 10x + 687 = x + 651", "Subtract x from both sides: 9x + 687 = 651", "Subtract 687 from both sides: 9x = -36", "Divide both sides by 9: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 59) + 97 = x + 651", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 59, \"c\": 97, \"e\": 651, \"x\": -4}", "seed": "9199336088890051123", "semantic_fingerprint": "sha256:d26a1363b96df36a846a50db774d20eae9fe2c8992da4149d8adc9c993fc46c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004689", "prompt": "Find x: 5x = 10(x + 47) - 535", "solution_steps": ["Expand: 5x = 10x + 470 - 535", "Combine constants: 5x = 10x - 65", "Subtract 10x from both sides: -5x = -65", "Divide both sides by -5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 10(x + 47) - 535", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"c\": 47, \"e\": -535, \"x\": 13}", "seed": "1910755344422759286", "semantic_fingerprint": "sha256:a8cdc41030452fdb8a302e65710e36a963806140596efbffa24db9692c749d83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004690", "prompt": "Find x: 6x = 8(x + 255) - 704", "solution_steps": ["Expand: 6x = 8x + 2040 - 704", "Combine constants: 6x = 8x + 1336", "Subtract 8x from both sides: -2x = 1336", "Divide both sides by -2: x = -668"], "final_answer": "-668", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 8(x + 255) - 704", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 255, \"d\": 704}", "seed": "11256614265080960934", "semantic_fingerprint": "sha256:da2bc6a16cedf5bb4420dddae5f3894e933ae87cdb373626f35d8af932c66797", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004691", "prompt": "Evaluate: (-9 - (-1) + (-323 - 0) * 6) * 1", "solution_steps": ["Subtract: -9 - (-1) = -8", "Subtract: -323 - 0 = -323", "Multiply: -323 * 6 = -1938", "Add: -8 + (-1938) = -1946", "Multiply: -1946 * 1 = -1946"], "final_answer": "-1946", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - (-1) + (-323 - 0) * 6) * 1", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": -323, \"d\": 0, \"e\": 6, \"f\": 1}", "seed": "16803102183008710244", "semantic_fingerprint": "sha256:11d2ef25dba06146d9b29fa895b9f4d7dc40887a4d2af3f1dcad62ac2c637995", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004692", "prompt": "Evaluate: 4 / (-343 * (-43 + (-1))) - 5", "solution_steps": ["Add: -43 + (-1) = -44", "Multiply: -343 * (-44) = 15092", "Divide: 4 / 15092 = 1/3773", "Subtract: 1/3773 - 5 = -18864/3773"], "final_answer": "-18864/3773", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-343 * (-43 + (-1))) - 5", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -343, \"c\": -43, \"d\": -1, \"e\": 5}", "seed": "14247639377136124754", "semantic_fingerprint": "sha256:1f7b7a13b87c40e74ee277bb01a67590f9136dd235014689575906df1e1c4256", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004693", "prompt": "Find x: 3(x + 16) - 7 = x + 41", "solution_steps": ["Expand: 3x + 48 - 7 = x + 41", "Combine constants: 3x + 41 = x + 41", "Subtract x from both sides: 2x + 41 = 41", "Subtract 41 from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 16) - 7 = x + 41", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 16, \"c\": 7, \"e\": 41, \"x\": 0}", "seed": "8062512228619831860", "semantic_fingerprint": "sha256:251d3ff2927ecc51bf72796bbab43e7cdb859571c3c1152ccba4cc7ae831746c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004694", "prompt": "What is 71 - (-964) / (-3) + 4 / (-846)?", "solution_steps": ["Divide: -964 / (-3) = 964/3", "Subtract: 71 - 964/3 = -751/3", "Divide: 4 / (-846) = -2/423", "Add: -751/3 + (-2/423) = -105893/423"], "final_answer": "-105893/423", "answer_type": "rational", "kind": "expression", "math_text": "71 - (-964) / (-3) + 4 / (-846)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -964, \"c\": -3, \"d\": 4, \"e\": -846}", "seed": "7371787668314782157", "semantic_fingerprint": "sha256:6e75c3a329a5d6cbd5d80c3221da35102a934b71782976689e096b9d8a290666", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004695", "prompt": "Solve for x: 2(x - 8) - 8 = x + 41", "solution_steps": ["Expand: 2x - 16 - 8 = x + 41", "Combine constants: 2x - 24 = x + 41", "Subtract x from both sides: x - 24 = 41", "Add 24 to both sides: x = 65"], "final_answer": "65", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) - 8 = x + 41", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 8, \"d\": 41}", "seed": "11878359884058639071", "semantic_fingerprint": "sha256:c6aaf0e38a26f46ac9e165e5497c56a76fae04ba400becde23ac1e8926ae391c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004696", "prompt": "Find x: 4(x + 97) + 3 = x + 358", "solution_steps": ["Expand: 4x + 388 + 3 = x + 358", "Combine constants: 4x + 391 = x + 358", "Subtract x from both sides: 3x + 391 = 358", "Subtract 391 from both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 97) + 3 = x + 358", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 97, \"c\": 3, \"e\": 358, \"x\": -11}", "seed": "7610329460654618462", "semantic_fingerprint": "sha256:04e217ff272e24495fa435eb7e89baa3a4f11336794884cba30c67f9f4da62ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004697", "prompt": "Evaluate: 1 - (6 * (-41 - (-2)) - (-10 - (-90)))", "solution_steps": ["Subtract: -41 - (-2) = -39", "Multiply: 6 * (-39) = -234", "Subtract: -10 - (-90) = 80", "Subtract: -234 - 80 = -314", "Subtract: 1 - (-314) = 315"], "final_answer": "315", "answer_type": "integer", "kind": "expression", "math_text": "1 - (6 * (-41 - (-2)) - (-10 - (-90)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n (- n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 6, \"c\": -41, \"d\": -2, \"e\": -10, \"f\": -90}", "seed": "16346905806122505056", "semantic_fingerprint": "sha256:33291db7935b07653010d187d489fabe6b07941a3dc50585f0f3d21cd5f5a24c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004698", "prompt": "What value of x satisfies -11x = 12(x + 27) - 508?", "solution_steps": ["Expand: -11x = 12x + 324 - 508", "Combine constants: -11x = 12x - 184", "Subtract 12x from both sides: -23x = -184", "Divide both sides by -23: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = 12(x + 27) - 508", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 12, \"c\": 27, \"e\": -508, \"x\": 8}", "seed": "14662529137530556075", "semantic_fingerprint": "sha256:eb7f1e1d5b8830aab7184084a868baec1e85857bd461c12bd60980a2299f7bb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004699", "prompt": "Calculate: (-32 - (-88)) * (-14) / (7 - 5)", "solution_steps": ["Subtract: -32 - (-88) = 56", "Multiply: 56 * (-14) = -784", "Subtract: 7 - 5 = 2", "Divide: -784 / 2 = -392"], "final_answer": "-392", "answer_type": "integer", "kind": "expression", "math_text": "(-32 - (-88)) * (-14) / (7 - 5)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -88, \"c\": -14, \"d\": 7, \"e\": 5}", "seed": "3812212701218896068", "semantic_fingerprint": "sha256:a91fcf753057aa67fa94ffe3c1a025b8cb38a751207d2e6eda0189acccc32598", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004700", "prompt": "Compute: (2 - 400 - (-7)) * 56", "solution_steps": ["Subtract: 2 - 400 = -398", "Subtract: -398 - (-7) = -391", "Multiply: -391 * 56 = -21896"], "final_answer": "-21896", "answer_type": "integer", "kind": "expression", "math_text": "(2 - 400 - (-7)) * 56", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 400, \"c\": -7, \"d\": 56}", "seed": "8337577627200530484", "semantic_fingerprint": "sha256:4af1e64128e22d5380d4e89c37b3b2252e322a8c54bdaf61fc4d8d0093cafcdc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004701", "prompt": "Solve the equation -6(x + 35) = 6(x - 9) + 12 for x.", "solution_steps": ["Expand: -6x - 210 = 6(x - 9) + 12", "Expand: -6x - 210 = 6x - 54 + 12", "Combine constants: -6x - 210 = 6x - 42", "Subtract 6x from both sides: -12x - 210 = -42", "Add 210 to both sides: -12x = 168", "Divide both sides by -12: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 35) = 6(x - 9) + 12", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 35, \"c\": 6, \"d\": 9, \"f\": 12, \"x\": -14}", "seed": "13394875955372630327", "semantic_fingerprint": "sha256:dbbbda95a896fdc0bddc87a410d4716975cbd04c98e07257ba7cdc1a751cbeac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004702", "prompt": "Evaluate: 814 + (0 - 0) + (-15)", "solution_steps": ["Subtract: 0 - 0 = 0", "Add: 814 + 0 = 814", "Add: 814 + (-15) = 799"], "final_answer": "799", "answer_type": "integer", "kind": "expression", "math_text": "814 + (0 - 0) + (-15)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 814, \"b\": 0, \"c\": 0, \"d\": -15}", "seed": "16027036367123889789", "semantic_fingerprint": "sha256:1fc9e9fa38bff2370aa1567c3b3992b750aa584181d15a0a3a125e474b7ce0bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004703", "prompt": "Compute: (87 * (-51) - (-3 - 1 + 10)) / 2", "solution_steps": ["Multiply: 87 * (-51) = -4437", "Subtract: -3 - 1 = -4", "Add: -4 + 10 = 6", "Subtract: -4437 - 6 = -4443", "Divide: -4443 / 2 = -4443/2"], "final_answer": "-4443/2", "answer_type": "rational", "kind": "expression", "math_text": "(87 * (-51) - (-3 - 1 + 10)) / 2", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -51, \"c\": -3, \"d\": 1, \"e\": 10, \"f\": 2}", "seed": "18116713016810025943", "semantic_fingerprint": "sha256:af7565205afc67147382d529af2f0c3c85db759206ca76efa4287d1852c3beb0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004704", "prompt": "What value of x satisfies 4x - 709 = 7(x - 97)?", "solution_steps": ["Expand: 4x - 709 = 7x - 679", "Subtract 7x from both sides: -3x - 709 = -679", "Add 709 to both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 709 = 7(x - 97)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 97, \"e\": -709, \"x\": -10}", "seed": "18294351480797893202", "semantic_fingerprint": "sha256:79849f8bb8615a7015e235488e5b242ec327d0e18d9789de423be372cb6faeb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004705", "prompt": "What is 23 * (5 + 5 * (-37))?", "solution_steps": ["Multiply: 5 * (-37) = -185", "Add: 5 + (-185) = -180", "Multiply: 23 * (-180) = -4140"], "final_answer": "-4140", "answer_type": "integer", "kind": "expression", "math_text": "23 * (5 + 5 * (-37))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 5, \"c\": 5, \"d\": -37}", "seed": "2314167085028122783", "semantic_fingerprint": "sha256:af69abdf06cd9b85df24eb31f85f6e6a6a390b5518d1e2d5ae1f41128eac10e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004706", "prompt": "Solve for x: 7x = -5(x + 53) + 409", "solution_steps": ["Expand: 7x = -5x - 265 + 409", "Combine constants: 7x = -5x + 144", "Add 5x to both sides: 12x = 144", "Divide both sides by 12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -5(x + 53) + 409", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": 53, \"e\": 409, \"x\": 12}", "seed": "11838834915140452884", "semantic_fingerprint": "sha256:e20745bfca1f307bf496552ebaa8d06be3899cd5e7ce29f31fcf1e34f7534d23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004707", "prompt": "Solve the equation -12(x + 5) = 2(x - 5) + 230 for x.", "solution_steps": ["Expand: -12x - 60 = 2(x - 5) + 230", "Expand: -12x - 60 = 2x - 10 + 230", "Combine constants: -12x - 60 = 2x + 220", "Subtract 2x from both sides: -14x - 60 = 220", "Add 60 to both sides: -14x = 280", "Divide both sides by -14: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 5) = 2(x - 5) + 230", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"c\": 2, \"d\": 5, \"f\": 230, \"x\": -20}", "seed": "7193420947901338720", "semantic_fingerprint": "sha256:7339b0a251fb2ac7fff1e39d9f89b421a8d112eb43c7623f9aaa61e4c04f3fbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004708", "prompt": "Calculate: -937 / (-5) / (-85) + (-78 - (-37))", "solution_steps": ["Divide: -937 / (-5) = 937/5", "Divide: (937/5) / (-85) = -937/425", "Subtract: -78 - (-37) = -41", "Add: -937/425 + (-41) = -18362/425"], "final_answer": "-18362/425", "answer_type": "rational", "kind": "expression", "math_text": "-937 / (-5) / (-85) + (-78 - (-37))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -937, \"b\": -5, \"c\": -85, \"d\": -78, \"e\": -37}", "seed": "13473893015245233980", "semantic_fingerprint": "sha256:44c41e0d44e517bcb350192cd1233fa1fea81502a90320bd7ca7e55ee5225453", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004709", "prompt": "Calculate: -7 - (-5) / 6 - 9", "solution_steps": ["Divide: -5 / 6 = -5/6", "Subtract: -7 - (-5/6) = -37/6", "Subtract: -37/6 - 9 = -91/6"], "final_answer": "-91/6", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-5) / 6 - 9", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -5, \"c\": 6, \"d\": 9}", "seed": "9209627125718661750", "semantic_fingerprint": "sha256:8d9c1001bf623acfa42d88995ed7124c77d4ca196e9c825f27f5b0139476d28b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004710", "prompt": "What is (-779 - (-2 + (-62))) * (-42)?", "solution_steps": ["Add: -2 + (-62) = -64", "Subtract: -779 - (-64) = -715", "Multiply: -715 * (-42) = 30030"], "final_answer": "30030", "answer_type": "integer", "kind": "expression", "math_text": "(-779 - (-2 + (-62))) * (-42)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -779, \"b\": -2, \"c\": -62, \"d\": -42}", "seed": "17280984722320859900", "semantic_fingerprint": "sha256:8910577656f9db827336b293c6bbf11cc41c9b83da723e145ec2ef8c5bf6e2ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004711", "prompt": "Solve the equation 8x - 180 = 3(x - 60) for x.", "solution_steps": ["Expand: 8x - 180 = 3x - 180", "Subtract 3x from both sides: 5x - 180 = -180", "Add 180 to both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 180 = 3(x - 60)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 60, \"e\": -180, \"x\": 0}", "seed": "13369309625412237573", "semantic_fingerprint": "sha256:7b88a30d713d1f1e87964d5e9664ca148a075ebe1fbc9b3105fe67d2cce62edd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004712", "prompt": "What value of x satisfies -11(x - 7) - 72 = x + 29?", "solution_steps": ["Expand: -11x + 77 - 72 = x + 29", "Combine constants: -11x + 5 = x + 29", "Subtract x from both sides: -12x + 5 = 29", "Subtract 5 from both sides: -12x = 24", "Divide both sides by -12: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 7) - 72 = x + 29", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 72, \"e\": 29, \"x\": -2}", "seed": "14935775178105629854", "semantic_fingerprint": "sha256:6285a075f1b4df194d4069cdd6a60cd28da1c2ddbfc34a0e9576e27574e4cc9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004713", "prompt": "Find x: 3(x - 3) + 141 = 9(x + 24)", "solution_steps": ["Expand: 3x - 9 + 141 = 9(x + 24)", "Expand: 3x - 9 + 141 = 9x + 216", "Combine constants: 3x + 132 = 9x + 216", "Subtract 9x from both sides: -6x + 132 = 216", "Subtract 132 from both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 3) + 141 = 9(x + 24)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 9, \"d\": 24, \"f\": 141, \"x\": -14}", "seed": "4636727362011054322", "semantic_fingerprint": "sha256:24376835c1e7bcc7a64604f01a7852cdef8d5d00fb663c84d2df782021a5e111", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004714", "prompt": "What value of x satisfies 10(x + 422) + 850 = x + 27?", "solution_steps": ["Expand: 10x + 4220 + 850 = x + 27", "Combine constants: 10x + 5070 = x + 27", "Subtract x from both sides: 9x + 5070 = 27", "Subtract 5070 from both sides: 9x = -5043", "Divide both sides by 9: x = -1681/3"], "final_answer": "-1681/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 422) + 850 = x + 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 422, \"c\": 850, \"d\": 27}", "seed": "9500505443451898228", "semantic_fingerprint": "sha256:a6b087113f5aaf869e4a609a9d7de97752f4bf782c038975dd74a4014f46e68b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004715", "prompt": "What is 9 * (440 + (-325)) - (-7 + 970) * 23?", "solution_steps": ["Add: 440 + (-325) = 115", "Multiply: 9 * 115 = 1035", "Add: -7 + 970 = 963", "Multiply: 963 * 23 = 22149", "Subtract: 1035 - 22149 = -21114"], "final_answer": "-21114", "answer_type": "integer", "kind": "expression", "math_text": "9 * (440 + (-325)) - (-7 + 970) * 23", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 440, \"c\": -325, \"d\": -7, \"e\": 970, \"f\": 23}", "seed": "11021087895795917267", "semantic_fingerprint": "sha256:123d1f2225ecba12a751304a5ab545405613fe89838a3e9121f79bafb0f2b38f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004716", "prompt": "What value of x satisfies 2(x - 168) + 847 = 11(x + 62)?", "solution_steps": ["Expand: 2x - 336 + 847 = 11(x + 62)", "Expand: 2x - 336 + 847 = 11x + 682", "Combine constants: 2x + 511 = 11x + 682", "Subtract 11x from both sides: -9x + 511 = 682", "Subtract 511 from both sides: -9x = 171", "Divide both sides by -9: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 168) + 847 = 11(x + 62)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 168, \"c\": 11, \"d\": 62, \"f\": 847, \"x\": -19}", "seed": "618487253412935432", "semantic_fingerprint": "sha256:5447f9ee739d674783dc1d69fb65a0a54503645802cd2dc539f495b5fce6cb36", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004717", "prompt": "Compute: 502 * (-42) + (56 - 704)", "solution_steps": ["Multiply: 502 * (-42) = -21084", "Subtract: 56 - 704 = -648", "Add: -21084 + (-648) = -21732"], "final_answer": "-21732", "answer_type": "integer", "kind": "expression", "math_text": "502 * (-42) + (56 - 704)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 502, \"b\": -42, \"c\": 56, \"d\": 704}", "seed": "2402910919577015911", "semantic_fingerprint": "sha256:2b55b01e159f314ea446312a6bd0bd80701ed91158ac7419ce568b8feae7f6e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004718", "prompt": "Find x: 4x - 9 = 6x - 23", "solution_steps": ["Subtract 6x from both sides: -2x - 9 = -23", "Add 9 to both sides: -2x = -14", "Divide both sides by -2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 9 = 6x - 23", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 6, \"e\": -23, \"x\": 7}", "seed": "5048031329120251814", "semantic_fingerprint": "sha256:953ee82bc47aa9e028e568aaedc375781085a34edd5b5bed3df67cc92b43a3b2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004719", "prompt": "What value of x satisfies 9(x + 320) - 692 = x + 84?", "solution_steps": ["Expand: 9x + 2880 - 692 = x + 84", "Combine constants: 9x + 2188 = x + 84", "Subtract x from both sides: 8x + 2188 = 84", "Subtract 2188 from both sides: 8x = -2104", "Divide both sides by 8: x = -263"], "final_answer": "-263", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 320) - 692 = x + 84", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 320, \"c\": 692, \"d\": 84}", "seed": "6252584957068764391", "semantic_fingerprint": "sha256:8bb05ecee06dee3025a52c3b9087043f0c6e33afe383bebde76341ebb39ef7a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004720", "prompt": "Evaluate: 0 / (91 / (-2)) * (-4) / (-8)", "solution_steps": ["Divide: 91 / (-2) = -91/2", "Divide: 0 / (-91/2) = 0", "Multiply: 0 * (-4) = 0", "Divide: 0 / (-8) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (91 / (-2)) * (-4) / (-8)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 91, \"c\": -2, \"d\": -4, \"e\": -8}", "seed": "3211649982997839629", "semantic_fingerprint": "sha256:df65e3c8ff8daa3605ef205e822312473e4fd132c95ac2dd25deb88399875b70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004721", "prompt": "Find x: 3x - 545 = 4(x - 8)", "solution_steps": ["Expand: 3x - 545 = 4x - 32", "Subtract 4x from both sides: -x - 545 = -32", "Add 545 to both sides: -x = 513", "Divide both sides by -1: x = -513"], "final_answer": "-513", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 545 = 4(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 545, \"c\": 4, \"d\": 8}", "seed": "1145596329625097306", "semantic_fingerprint": "sha256:73df9cd5da1a87631352c5401139bba17a7117f9aeaccf99e09297e07da094b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004722", "prompt": "What is -85 * 238 - (97 - 78 / (-6))?", "solution_steps": ["Multiply: -85 * 238 = -20230", "Divide: 78 / (-6) = -13", "Subtract: 97 - (-13) = 110", "Subtract: -20230 - 110 = -20340"], "final_answer": "-20340", "answer_type": "integer", "kind": "expression", "math_text": "-85 * 238 - (97 - 78 / (-6))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 238, \"c\": 97, \"d\": 78, \"e\": -6}", "seed": "1154635044464494314", "semantic_fingerprint": "sha256:166c6f9dbd6aa082230bde439d28ff32ac3f9ff6466fa91896495fb1860642fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004723", "prompt": "Compute: 325 - 0 / 818 - 503", "solution_steps": ["Divide: 0 / 818 = 0", "Subtract: 325 - 0 = 325", "Subtract: 325 - 503 = -178"], "final_answer": "-178", "answer_type": "integer", "kind": "expression", "math_text": "325 - 0 / 818 - 503", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 325, \"b\": 0, \"c\": 818, \"d\": 503}", "seed": "10495210642374343158", "semantic_fingerprint": "sha256:64b8754f420e072d41a5281eba11f693d68814cd4e05e699a88b6ea068b412cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004724", "prompt": "Solve for x: 3(x + 3) + 47 = x + 66", "solution_steps": ["Expand: 3x + 9 + 47 = x + 66", "Combine constants: 3x + 56 = x + 66", "Subtract x from both sides: 2x + 56 = 66", "Subtract 56 from both sides: 2x = 10", "Divide both sides by 2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 3) + 47 = x + 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 47, \"e\": 66, \"x\": 5}", "seed": "10282488531751019084", "semantic_fingerprint": "sha256:76dc49431a66b534901d3c95f74293bb16d757a6f851748ccaf1eca820d06481", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004725", "prompt": "What value of x satisfies -4(x + 9) - 8 = x + 7?", "solution_steps": ["Expand: -4x - 36 - 8 = x + 7", "Combine constants: -4x - 44 = x + 7", "Subtract x from both sides: -5x - 44 = 7", "Add 44 to both sides: -5x = 51", "Divide both sides by -5: x = -51/5"], "final_answer": "-51/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 9) - 8 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 8, \"d\": 7}", "seed": "10676460982521025239", "semantic_fingerprint": "sha256:0cf88c213bb12f2d4152156ff7aac25e46aa1b2ee54f9c5aac88985323b855b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004726", "prompt": "Solve for x: 8x = 11(x + 12) + 79", "solution_steps": ["Expand: 8x = 11x + 132 + 79", "Combine constants: 8x = 11x + 211", "Subtract 11x from both sides: -3x = 211", "Divide both sides by -3: x = -211/3"], "final_answer": "-211/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 11(x + 12) + 79", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 11, \"c\": 12, \"d\": 79}", "seed": "8125513456162797434", "semantic_fingerprint": "sha256:0b0dcb64f61fe820f4d0a94ed37ed3001934fd3347e038665c4b3b276deac7a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004727", "prompt": "Find x: 12x - 821 = 6x - 87", "solution_steps": ["Subtract 6x from both sides: 6x - 821 = -87", "Add 821 to both sides: 6x = 734", "Divide both sides by 6: x = 367/3"], "final_answer": "367/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 821 = 6x - 87", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 821, \"c\": 6, \"d\": 87}", "seed": "12813974347305739183", "semantic_fingerprint": "sha256:0004404bdf549a6e3e254e1a187366ccd5178c1ef0aff7aefb67c066782dce9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004728", "prompt": "What is -150 * (-4 * (-604)) + 1?", "solution_steps": ["Multiply: -4 * (-604) = 2416", "Multiply: -150 * 2416 = -362400", "Add: -362400 + 1 = -362399"], "final_answer": "-362399", "answer_type": "integer", "kind": "expression", "math_text": "-150 * (-4 * (-604)) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -150, \"b\": -4, \"c\": -604, \"d\": 1}", "seed": "15413391570685743710", "semantic_fingerprint": "sha256:0616f02917bd266be94aa2b5fc6cc0825e8d1d3eb76730ca767d8d03119887f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004729", "prompt": "Find x: 9(x + 42) = 2(x - 35) + 314", "solution_steps": ["Expand: 9x + 378 = 2(x - 35) + 314", "Expand: 9x + 378 = 2x - 70 + 314", "Combine constants: 9x + 378 = 2x + 244", "Subtract 2x from both sides: 7x + 378 = 244", "Subtract 378 from both sides: 7x = -134", "Divide both sides by 7: x = -134/7"], "final_answer": "-134/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 42) = 2(x - 35) + 314", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 42, \"c\": 2, \"d\": 35, \"e\": 314}", "seed": "15686631911654122228", "semantic_fingerprint": "sha256:e1089e1d14f0f5c6cbb8793518c6bf5a4eb497c8c43d0cb2f78c41b386e4f11e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004730", "prompt": "Calculate: -7 - 50 * (-559 / 5)", "solution_steps": ["Divide: -559 / 5 = -559/5", "Multiply: 50 * (-559/5) = -5590", "Subtract: -7 - (-5590) = 5583"], "final_answer": "5583", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 50 * (-559 / 5)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 50, \"c\": -559, \"d\": 5}", "seed": "9801960898399085088", "semantic_fingerprint": "sha256:a80be641f04dc0d33e24862547ae7bebba18db6e6c702a1144d19c677b264382", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004731", "prompt": "What is (75 - 285 - (-21)) * (-84)?", "solution_steps": ["Subtract: 75 - 285 = -210", "Subtract: -210 - (-21) = -189", "Multiply: -189 * (-84) = 15876"], "final_answer": "15876", "answer_type": "integer", "kind": "expression", "math_text": "(75 - 285 - (-21)) * (-84)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 285, \"c\": -21, \"d\": -84}", "seed": "2685348208133278716", "semantic_fingerprint": "sha256:cb10f8bab4b9f8d81163bc6fd010bd01f505b02f1af8ddbcd05d42da189956db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004732", "prompt": "Calculate: 0 * 38 + 4 + (-845)", "solution_steps": ["Multiply: 0 * 38 = 0", "Add: 0 + 4 = 4", "Add: 4 + (-845) = -841"], "final_answer": "-841", "answer_type": "integer", "kind": "expression", "math_text": "0 * 38 + 4 + (-845)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 38, \"c\": 4, \"d\": -845}", "seed": "4092079004432975388", "semantic_fingerprint": "sha256:b69eb8b7ba66bd6bfc3f695f70b43d57d7cea12c9a00d58a32d7803140bc997f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004733", "prompt": "What value of x satisfies 10x - 738 = 12(x - 62)?", "solution_steps": ["Expand: 10x - 738 = 12x - 744", "Subtract 12x from both sides: -2x - 738 = -744", "Add 738 to both sides: -2x = -6", "Divide both sides by -2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 738 = 12(x - 62)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 12, \"c\": 62, \"e\": -738, \"x\": 3}", "seed": "11521163928622917490", "semantic_fingerprint": "sha256:a41b38290fb66ee0c1f7a6eb778e6201af031896a8993216f9614231397d81d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004734", "prompt": "Solve the equation 6(x + 3) - 96 = x + 56 for x.", "solution_steps": ["Expand: 6x + 18 - 96 = x + 56", "Combine constants: 6x - 78 = x + 56", "Subtract x from both sides: 5x - 78 = 56", "Add 78 to both sides: 5x = 134", "Divide both sides by 5: x = 134/5"], "final_answer": "134/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 3) - 96 = x + 56", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 96, \"d\": 56}", "seed": "2733149232051678653", "semantic_fingerprint": "sha256:1bec3282c2d16df364d659d8cd77d938dd83670902d3a88717c331cf7e2efd51", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004735", "prompt": "Evaluate: -180 / (-6) / (-9 * (-8)) * 571", "solution_steps": ["Divide: -180 / (-6) = 30", "Multiply: -9 * (-8) = 72", "Divide: 30 / 72 = 5/12", "Multiply: (5/12) * 571 = 2855/12"], "final_answer": "2855/12", "answer_type": "rational", "kind": "expression", "math_text": "-180 / (-6) / (-9 * (-8)) * 571", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -180, \"b\": -6, \"c\": -9, \"d\": -8, \"e\": 571}", "seed": "4162628307739010540", "semantic_fingerprint": "sha256:65088cda0d3863e110ea4f13dc2612cbbcecf95a9fd82f61b1dabe8df5486d87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004736", "prompt": "Compute: 0 + 65 / (-412 / (-18)) + (-56)", "solution_steps": ["Divide: -412 / (-18) = 206/9", "Divide: 65 / (206/9) = 585/206", "Add: 0 + 585/206 = 585/206", "Add: 585/206 + (-56) = -10951/206"], "final_answer": "-10951/206", "answer_type": "rational", "kind": "expression", "math_text": "0 + 65 / (-412 / (-18)) + (-56)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 65, \"c\": -412, \"d\": -18, \"e\": -56}", "seed": "16718136741119917817", "semantic_fingerprint": "sha256:cdf605f8369729050b2bc9cbc82b379ba2d5bd5a9c09da707525f865f12395b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004737", "prompt": "Solve the equation -7x - 132 = -10x - 651 for x.", "solution_steps": ["Add 10x to both sides: 3x - 132 = -651", "Add 132 to both sides: 3x = -519", "Divide both sides by 3: x = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 132 = -10x - 651", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 132, \"c\": -10, \"d\": 651}", "seed": "7316785578215540457", "semantic_fingerprint": "sha256:05518debefa7b41df59c53d1403be2ac3a0320b7dbd68b392666b223ec5dd88c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004738", "prompt": "Solve the equation 2(x - 53) + 432 = 7(x + 38) for x.", "solution_steps": ["Expand: 2x - 106 + 432 = 7(x + 38)", "Expand: 2x - 106 + 432 = 7x + 266", "Combine constants: 2x + 326 = 7x + 266", "Subtract 7x from both sides: -5x + 326 = 266", "Subtract 326 from both sides: -5x = -60", "Divide both sides by -5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 53) + 432 = 7(x + 38)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 53, \"c\": 7, \"d\": 38, \"f\": 432, \"x\": 12}", "seed": "18281116956251952148", "semantic_fingerprint": "sha256:78767693c3463a30e776c7c00fb15d90481d7a393e4c4560a8ec285d1d02c4f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004739", "prompt": "What is -46 / 319 - (322 + 8 / (-3))?", "solution_steps": ["Divide: -46 / 319 = -46/319", "Divide: 8 / (-3) = -8/3", "Add: 322 + (-8/3) = 958/3", "Subtract: -46/319 - 958/3 = -305740/957"], "final_answer": "-305740/957", "answer_type": "rational", "kind": "expression", "math_text": "-46 / 319 - (322 + 8 / (-3))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 319, \"c\": 322, \"d\": 8, \"e\": -3}", "seed": "5475396792813320605", "semantic_fingerprint": "sha256:905006afdeeefb7bd257269f4588f7090cf39ce04805d05cf9d24626d04096cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004740", "prompt": "Find x: -4(x - 7) - 5 = x + 3", "solution_steps": ["Expand: -4x + 28 - 5 = x + 3", "Combine constants: -4x + 23 = x + 3", "Subtract x from both sides: -5x + 23 = 3", "Subtract 23 from both sides: -5x = -20", "Divide both sides by -5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 7) - 5 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 5, \"d\": 3}", "seed": "221824868006007030", "semantic_fingerprint": "sha256:0891d329291eac90397b9998a7e061a15d9a09c947ebcc2a51a2610bd097fe82", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004741", "prompt": "Find x: -9x - 42 = 8x - 331", "solution_steps": ["Subtract 8x from both sides: -17x - 42 = -331", "Add 42 to both sides: -17x = -289", "Divide both sides by -17: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 42 = 8x - 331", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 42, \"c\": 8, \"e\": -331, \"x\": 17}", "seed": "3657295459918902109", "semantic_fingerprint": "sha256:b5262da1ee1ca714ccc90fc79ecae92f927f65932ebbe92c829f874078e96a04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004742", "prompt": "Compute: -4 - 97 * (-86 / 1)", "solution_steps": ["Divide: -86 / 1 = -86", "Multiply: 97 * (-86) = -8342", "Subtract: -4 - (-8342) = 8338"], "final_answer": "8338", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 97 * (-86 / 1)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 97, \"c\": -86, \"d\": 1}", "seed": "3038363329350593372", "semantic_fingerprint": "sha256:f7b524cbbf1933c8dbbcbe2812f5cddb78dc7efed978f524911c60fe2da440f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004743", "prompt": "What is -7 + 3 - (-956 - (-976 + 34)) / 493?", "solution_steps": ["Add: -7 + 3 = -4", "Add: -976 + 34 = -942", "Subtract: -956 - (-942) = -14", "Divide: -14 / 493 = -14/493", "Subtract: -4 - (-14/493) = -1958/493"], "final_answer": "-1958/493", "answer_type": "rational", "kind": "expression", "math_text": "-7 + 3 - (-956 - (-976 + 34)) / 493", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": -956, \"d\": -976, \"e\": 34, \"f\": 493}", "seed": "6386910528011023106", "semantic_fingerprint": "sha256:280f0988436c8305939503f751e3b64b6c8bed654170e2cf1a149cf6ef7da842", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004744", "prompt": "Solve for x: 11(x + 67) + 80 = x + 737", "solution_steps": ["Expand: 11x + 737 + 80 = x + 737", "Combine constants: 11x + 817 = x + 737", "Subtract x from both sides: 10x + 817 = 737", "Subtract 817 from both sides: 10x = -80", "Divide both sides by 10: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 67) + 80 = x + 737", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 67, \"c\": 80, \"e\": 737, \"x\": -8}", "seed": "13756390311491228960", "semantic_fingerprint": "sha256:7a4032a449266521b66a6e8ad1b12f99ae909a2f76e2a810f91d04469074d192", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004745", "prompt": "What is -6 / (267 * (-7) + 7) * 57?", "solution_steps": ["Multiply: 267 * (-7) = -1869", "Add: -1869 + 7 = -1862", "Divide: -6 / (-1862) = 3/931", "Multiply: (3/931) * 57 = 9/49"], "final_answer": "9/49", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (267 * (-7) + 7) * 57", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 267, \"c\": -7, \"d\": 7, \"e\": 57}", "seed": "11710194502049679276", "semantic_fingerprint": "sha256:d426a39fd740678f5df0f51975632fd54fce8429cc14ec1dc4fd15bf6322d6e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004746", "prompt": "Calculate: 2 / (-7 - 55) / (-6) + 473 * (-7)", "solution_steps": ["Subtract: -7 - 55 = -62", "Divide: 2 / (-62) = -1/31", "Divide: (-1/31) / (-6) = 1/186", "Multiply: 473 * (-7) = -3311", "Add: 1/186 + (-3311) = -615845/186"], "final_answer": "-615845/186", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-7 - 55) / (-6) + 473 * (-7)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n (- n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -7, \"c\": 55, \"d\": -6, \"e\": 473, \"f\": -7}", "seed": "765985912305749108", "semantic_fingerprint": "sha256:1aacb53fa3baeea550e01c0d3dcd236e981462768a5682a2a3f4fe860ac524de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004747", "prompt": "Find x: 10(x + 20) = -11(x - 15) + 455", "solution_steps": ["Expand: 10x + 200 = -11(x - 15) + 455", "Expand: 10x + 200 = -11x + 165 + 455", "Combine constants: 10x + 200 = -11x + 620", "Add 11x to both sides: 21x + 200 = 620", "Subtract 200 from both sides: 21x = 420", "Divide both sides by 21: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 20) = -11(x - 15) + 455", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 20, \"c\": -11, \"d\": 15, \"f\": 455, \"x\": 20}", "seed": "1302917686811152601", "semantic_fingerprint": "sha256:b239a7d73efa0358d7563b68775cfbb959d4822c17178622270a4f1a93c62036", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004748", "prompt": "Compute: 990 + (-1 - (-39)) + 44", "solution_steps": ["Subtract: -1 - (-39) = 38", "Add: 990 + 38 = 1028", "Add: 1028 + 44 = 1072"], "final_answer": "1072", "answer_type": "integer", "kind": "expression", "math_text": "990 + (-1 - (-39)) + 44", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 990, \"b\": -1, \"c\": -39, \"d\": 44}", "seed": "15434921864861986703", "semantic_fingerprint": "sha256:24bd2b1acc755c7de677348654de41abfdc5872f5be2fc9b2727425d50e915eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004749", "prompt": "Compute: 90 / (-76 + (-169 - 942)) + 23", "solution_steps": ["Subtract: -169 - 942 = -1111", "Add: -76 + (-1111) = -1187", "Divide: 90 / (-1187) = -90/1187", "Add: -90/1187 + 23 = 27211/1187"], "final_answer": "27211/1187", "answer_type": "rational", "kind": "expression", "math_text": "90 / (-76 + (-169 - 942)) + 23", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -76, \"c\": -169, \"d\": 942, \"e\": 23}", "seed": "18122122881715627422", "semantic_fingerprint": "sha256:9c24e2e1ee39a684eb8e1f300f1e9234a77403856b93b6917d6b10ebc45f0b7f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004750", "prompt": "What value of x satisfies 9(x + 76) - 2 = x + 602?", "solution_steps": ["Expand: 9x + 684 - 2 = x + 602", "Combine constants: 9x + 682 = x + 602", "Subtract x from both sides: 8x + 682 = 602", "Subtract 682 from both sides: 8x = -80", "Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 76) - 2 = x + 602", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 76, \"c\": 2, \"e\": 602, \"x\": -10}", "seed": "10040647253853974085", "semantic_fingerprint": "sha256:44735d000ecc005631e4a6cee00a52dd60df7a380e602f384d05d0370ed48d92", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004751", "prompt": "Solve the equation -9x = -2(x + 204) + 695 for x.", "solution_steps": ["Expand: -9x = -2x - 408 + 695", "Combine constants: -9x = -2x + 287", "Add 2x to both sides: -7x = 287", "Divide both sides by -7: x = -41"], "final_answer": "-41", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -2(x + 204) + 695", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": 204, \"d\": 695}", "seed": "7612847980705979814", "semantic_fingerprint": "sha256:4dfd58f34df774b373b41e992c04c58e749ba6e5f90e0ccab4a0e3193b2e7875", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004752", "prompt": "Solve for x: 3(x - 47) - 28 = x + 7", "solution_steps": ["Expand: 3x - 141 - 28 = x + 7", "Combine constants: 3x - 169 = x + 7", "Subtract x from both sides: 2x - 169 = 7", "Add 169 to both sides: 2x = 176", "Divide both sides by 2: x = 88"], "final_answer": "88", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 47) - 28 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 47, \"c\": 28, \"d\": 7}", "seed": "7192714454246568605", "semantic_fingerprint": "sha256:1a0ea0033a7c7eb36691b312ff3285c1f7eb4ef9a218bad379584f2fcc32f961", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004753", "prompt": "What is -5 / (-860) * (-249 / 93)?", "solution_steps": ["Divide: -5 / (-860) = 1/172", "Divide: -249 / 93 = -83/31", "Multiply: (1/172) * (-83/31) = -83/5332"], "final_answer": "-83/5332", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-860) * (-249 / 93)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -860, \"c\": -249, \"d\": 93}", "seed": "12328983060713630920", "semantic_fingerprint": "sha256:a40b62494c4773ce084ba33713946056612c5d7f9cd709016de39f72b625a368", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004754", "prompt": "What value of x satisfies 6(x + 2) + 714 = x + 706?", "solution_steps": ["Expand: 6x + 12 + 714 = x + 706", "Combine constants: 6x + 726 = x + 706", "Subtract x from both sides: 5x + 726 = 706", "Subtract 726 from both sides: 5x = -20", "Divide both sides by 5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 2) + 714 = x + 706", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 714, \"e\": 706, \"x\": -4}", "seed": "1627715009061558329", "semantic_fingerprint": "sha256:348562d9ab22b7e802cd14a60d63156ef747c3f6845758316a9ae9308f4e7ef2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004755", "prompt": "Evaluate: -6 * 0 * (-274) * 2 - 0", "solution_steps": ["Multiply: -6 * 0 = 0", "Multiply: 0 * (-274) = 0", "Multiply: 0 * 2 = 0", "Subtract: 0 - 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 0 * (-274) * 2 - 0", "variable": null, "family": "expression_4op", "shape": "(- (* (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -274, \"d\": 2, \"e\": 0}", "seed": "17235638409284480038", "semantic_fingerprint": "sha256:ac6e0b36e7838fffb242ab5a19803fe96b85c07c26ddb3066dbd52ff030203b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004756", "prompt": "Calculate: (-2 - (-5) + (-87) / (-31) * 2) / (-66)", "solution_steps": ["Subtract: -2 - (-5) = 3", "Divide: -87 / (-31) = 87/31", "Multiply: (87/31) * 2 = 174/31", "Add: 3 + 174/31 = 267/31", "Divide: (267/31) / (-66) = -89/682"], "final_answer": "-89/682", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - (-5) + (-87) / (-31) * 2) / (-66)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) (* (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -5, \"c\": -87, \"d\": -31, \"e\": 2, \"f\": -66}", "seed": "1982902292228035518", "semantic_fingerprint": "sha256:45c10080d5fe3682107c374a9c3d8df170c1fae6530c6f661eea6931a7d57894", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004757", "prompt": "Solve for x: 12x = 11(x + 66) - 746", "solution_steps": ["Expand: 12x = 11x + 726 - 746", "Combine constants: 12x = 11x - 20", "Subtract 11x from both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 11(x + 66) - 746", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 11, \"c\": 66, \"e\": -746, \"x\": -20}", "seed": "15854894564370281775", "semantic_fingerprint": "sha256:cfad6f74d8bd1d73169a3ccf2418e361618ec258b44d8701072d92a13692dc65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004758", "prompt": "What value of x satisfies -11x = 5(x + 17) + 27?", "solution_steps": ["Expand: -11x = 5x + 85 + 27", "Combine constants: -11x = 5x + 112", "Subtract 5x from both sides: -16x = 112", "Divide both sides by -16: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = 5(x + 17) + 27", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 17, \"e\": 27, \"x\": -7}", "seed": "2702613493200979805", "semantic_fingerprint": "sha256:337466abbd45a9f00be210313e2b2acaffc8209c29aebfd4b617724911fd8757", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004759", "prompt": "Solve the equation 12x - 81 = -7(x - 41) for x.", "solution_steps": ["Expand: 12x - 81 = -7x + 287", "Add 7x to both sides: 19x - 81 = 287", "Add 81 to both sides: 19x = 368", "Divide both sides by 19: x = 368/19"], "final_answer": "368/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 81 = -7(x - 41)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 81, \"c\": -7, \"d\": 41}", "seed": "17234585647804145195", "semantic_fingerprint": "sha256:1ded61aabb649703ff9f55a7222c8cd02fcdfe713fb5c45598db6dacc3403bf7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004760", "prompt": "What is (83 + 849) / (-29 + 9)?", "solution_steps": ["Add: 83 + 849 = 932", "Add: -29 + 9 = -20", "Divide: 932 / (-20) = -233/5"], "final_answer": "-233/5", "answer_type": "rational", "kind": "expression", "math_text": "(83 + 849) / (-29 + 9)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 849, \"c\": -29, \"d\": 9}", "seed": "4902762660087817450", "semantic_fingerprint": "sha256:839c15fb651862f66e816b8d18aa606b76852109ba9621fea48e866b06a0a5c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004761", "prompt": "Calculate: -7 - (-65) / (-3) + 952 / (-34)", "solution_steps": ["Divide: -65 / (-3) = 65/3", "Subtract: -7 - 65/3 = -86/3", "Divide: 952 / (-34) = -28", "Add: -86/3 + (-28) = -170/3"], "final_answer": "-170/3", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-65) / (-3) + 952 / (-34)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -65, \"c\": -3, \"d\": 952, \"e\": -34}", "seed": "8660572493199407987", "semantic_fingerprint": "sha256:a9ef4ecaaa7663586f03c2c11b77e7e34543e01f228f3988e19bc3148aa61c00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004762", "prompt": "What is -9 + (-4 - 6) + (-8)?", "solution_steps": ["Subtract: -4 - 6 = -10", "Add: -9 + (-10) = -19", "Add: -19 + (-8) = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-4 - 6) + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -4, \"c\": 6, \"d\": -8}", "seed": "401913162443412719", "semantic_fingerprint": "sha256:9d2f8d7c5f965100a684aa8aa74eb579be866e80a7d903d612c15ccdbd773e0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004763", "prompt": "Solve for x: 4x - 6 = 2(x - 88)", "solution_steps": ["Expand: 4x - 6 = 2x - 176", "Subtract 2x from both sides: 2x - 6 = -176", "Add 6 to both sides: 2x = -170", "Divide both sides by 2: x = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 6 = 2(x - 88)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 2, \"d\": 88}", "seed": "446909579583050756", "semantic_fingerprint": "sha256:078076f7df6a3457e043e231640af7cb523cec6ba1d0d0fb518997c8592ed776", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004764", "prompt": "What is 6 / (-7 * (-3 / (16 * 80)))?", "solution_steps": ["Multiply: 16 * 80 = 1280", "Divide: -3 / 1280 = -3/1280", "Multiply: -7 * (-3/1280) = 21/1280", "Divide: 6 / (21/1280) = 2560/7"], "final_answer": "2560/7", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-7 * (-3 / (16 * 80)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": -3, \"d\": 16, \"e\": 80}", "seed": "12063682804208268297", "semantic_fingerprint": "sha256:bc964d19f680f75c6f1777d397b1b05f9c827ca818e0a1f7f69f842669be5b39", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004765", "prompt": "Calculate: 6 * (3 * (-5 + 0)) - 4", "solution_steps": ["Add: -5 + 0 = -5", "Multiply: 3 * (-5) = -15", "Multiply: 6 * (-15) = -90", "Subtract: -90 - 4 = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "expression", "math_text": "6 * (3 * (-5 + 0)) - 4", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": -5, \"d\": 0, \"e\": 4}", "seed": "13856933974977640979", "semantic_fingerprint": "sha256:44c2e5f6046a095626b25b39eebe920ca59ff2200ca708635a9343e10fe05115", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004766", "prompt": "Find x: 9(x + 65) = 10(x - 279) + 33", "solution_steps": ["Expand: 9x + 585 = 10(x - 279) + 33", "Expand: 9x + 585 = 10x - 2790 + 33", "Combine constants: 9x + 585 = 10x - 2757", "Subtract 10x from both sides: -x + 585 = -2757", "Subtract 585 from both sides: -x = -3342", "Divide both sides by -1: x = 3342"], "final_answer": "3342", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 65) = 10(x - 279) + 33", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 65, \"c\": 10, \"d\": 279, \"e\": 33}", "seed": "12983833090978341335", "semantic_fingerprint": "sha256:66b5f40267e7c268bcde170591933e6eb366c85132bfc6eb0a35011ed4ae82c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004767", "prompt": "Solve for x: -4x - 166 = 6(x - 21)", "solution_steps": ["Expand: -4x - 166 = 6x - 126", "Subtract 6x from both sides: -10x - 166 = -126", "Add 166 to both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 166 = 6(x - 21)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 21, \"e\": -166, \"x\": -4}", "seed": "10018617258971206676", "semantic_fingerprint": "sha256:953d0d8b04026ff8556105ab462f3c8abfe089ea46d9f88688df3553f3c979b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004768", "prompt": "Evaluate: 837 * (5 * (-35)) + 1", "solution_steps": ["Multiply: 5 * (-35) = -175", "Multiply: 837 * (-175) = -146475", "Add: -146475 + 1 = -146474"], "final_answer": "-146474", "answer_type": "integer", "kind": "expression", "math_text": "837 * (5 * (-35)) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 837, \"b\": 5, \"c\": -35, \"d\": 1}", "seed": "5719468993764535926", "semantic_fingerprint": "sha256:1a9bca22f7a5f35555003a74e1f4dddca2306895013e480275082220c8e97f7b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004769", "prompt": "Find x: 8x - 1 = -9x - 324", "solution_steps": ["Add 9x to both sides: 17x - 1 = -324", "Add 1 to both sides: 17x = -323", "Divide both sides by 17: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 1 = -9x - 324", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": -9, \"e\": -324, \"x\": -19}", "seed": "3010067650822271570", "semantic_fingerprint": "sha256:541665adc6a093b9e5d4f1fd536543a9f995cd1fc6ee6c79ee08f2d2d749d9ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004770", "prompt": "What is 3 / (5 * (-309 / (8 * 32)))?", "solution_steps": ["Multiply: 8 * 32 = 256", "Divide: -309 / 256 = -309/256", "Multiply: 5 * (-309/256) = -1545/256", "Divide: 3 / (-1545/256) = -256/515"], "final_answer": "-256/515", "answer_type": "rational", "kind": "expression", "math_text": "3 / (5 * (-309 / (8 * 32)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": -309, \"d\": 8, \"e\": 32}", "seed": "4014562353838461259", "semantic_fingerprint": "sha256:0a93c791b2ca1ed9c411be9b2ba9dd06b38e36f856c2d3098c8039b096502450", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004771", "prompt": "What value of x satisfies 7(x + 7) = 4(x - 65) + 327?", "solution_steps": ["Expand: 7x + 49 = 4(x - 65) + 327", "Expand: 7x + 49 = 4x - 260 + 327", "Combine constants: 7x + 49 = 4x + 67", "Subtract 4x from both sides: 3x + 49 = 67", "Subtract 49 from both sides: 3x = 18", "Divide both sides by 3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) = 4(x - 65) + 327", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 4, \"d\": 65, \"f\": 327, \"x\": 6}", "seed": "10619906840365972012", "semantic_fingerprint": "sha256:d09d78039208e5aed6ada8834556ac823173c811b6ffaef8f4d91bed1be732e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004772", "prompt": "Solve the equation 7x - 85 = 9x - 53 for x.", "solution_steps": ["Subtract 9x from both sides: -2x - 85 = -53", "Add 85 to both sides: -2x = 32", "Divide both sides by -2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 85 = 9x - 53", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 85, \"c\": 9, \"e\": -53, \"x\": -16}", "seed": "15655103746011051374", "semantic_fingerprint": "sha256:fc56994bb72d726bffb89c5919aae161d42dce50b17ab627181867c55906e034", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004773", "prompt": "Evaluate: 865 / 13 / 5 - 775", "solution_steps": ["Divide: 865 / 13 = 865/13", "Divide: (865/13) / 5 = 173/13", "Subtract: 173/13 - 775 = -9902/13"], "final_answer": "-9902/13", "answer_type": "rational", "kind": "expression", "math_text": "865 / 13 / 5 - 775", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 865, \"b\": 13, \"c\": 5, \"d\": 775}", "seed": "7154627836477547132", "semantic_fingerprint": "sha256:b03ea9b491315591f8a868567453a58d6eb70d7bc40438e44b95457217a84737", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004774", "prompt": "What is 7 - (-718) / 2 - 825 / (-94 + (-63))?", "solution_steps": ["Divide: -718 / 2 = -359", "Subtract: 7 - (-359) = 366", "Add: -94 + (-63) = -157", "Divide: 825 / (-157) = -825/157", "Subtract: 366 - (-825/157) = 58287/157"], "final_answer": "58287/157", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-718) / 2 - 825 / (-94 + (-63))", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -718, \"c\": 2, \"d\": 825, \"e\": -94, \"f\": -63}", "seed": "3576113041865511920", "semantic_fingerprint": "sha256:88a34cbd463409fc70f256316fb62164f19474abc166ed360f8cced9ee9f25c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004775", "prompt": "Evaluate: 3 + 50 - (-5) + (-2) / (-78 / 9)", "solution_steps": ["Add: 3 + 50 = 53", "Subtract: 53 - (-5) = 58", "Divide: -78 / 9 = -26/3", "Divide: -2 / (-26/3) = 3/13", "Add: 58 + 3/13 = 757/13"], "final_answer": "757/13", "answer_type": "rational", "kind": "expression", "math_text": "3 + 50 - (-5) + (-2) / (-78 / 9)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 50, \"c\": -5, \"d\": -2, \"e\": -78, \"f\": 9}", "seed": "5406857568061428133", "semantic_fingerprint": "sha256:652456ddecb8a921674f6c9a5883f02622aa212654133b2cbc0402459bcb988a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004776", "prompt": "Solve the equation -11x = 9(x + 9) + 50 for x.", "solution_steps": ["Expand: -11x = 9x + 81 + 50", "Combine constants: -11x = 9x + 131", "Subtract 9x from both sides: -20x = 131", "Divide both sides by -20: x = -131/20"], "final_answer": "-131/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = 9(x + 9) + 50", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 9, \"c\": 9, \"d\": 50}", "seed": "10870346552400774811", "semantic_fingerprint": "sha256:0f10923b5d999f9b09ea9903e6ec12fa88d09dbf3a38b80b693b1ca2af431d5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004777", "prompt": "Solve for x: 5x - 273 = 11(x - 15)", "solution_steps": ["Expand: 5x - 273 = 11x - 165", "Subtract 11x from both sides: -6x - 273 = -165", "Add 273 to both sides: -6x = 108", "Divide both sides by -6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 273 = 11(x - 15)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"c\": 15, \"e\": -273, \"x\": -18}", "seed": "8639446441693539665", "semantic_fingerprint": "sha256:e4d14a3e85dc240500b44d0569006cf586de7c4a59362470a0f8f6c2cdeab12b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004778", "prompt": "Calculate: 61 / (5 + 19 / (0 - 57))", "solution_steps": ["Subtract: 0 - 57 = -57", "Divide: 19 / (-57) = -1/3", "Add: 5 + (-1/3) = 14/3", "Divide: 61 / (14/3) = 183/14"], "final_answer": "183/14", "answer_type": "rational", "kind": "expression", "math_text": "61 / (5 + 19 / (0 - 57))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (/ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 5, \"c\": 19, \"d\": 0, \"e\": 57}", "seed": "3011680027082930142", "semantic_fingerprint": "sha256:131656a5ee078512fc3a2988da4ac2e89215318b1ede51b50dd8ec442094be7b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004779", "prompt": "What value of x satisfies -2(x - 7) + 482 = 11(x + 64)?", "solution_steps": ["Expand: -2x + 14 + 482 = 11(x + 64)", "Expand: -2x + 14 + 482 = 11x + 704", "Combine constants: -2x + 496 = 11x + 704", "Subtract 11x from both sides: -13x + 496 = 704", "Subtract 496 from both sides: -13x = 208", "Divide both sides by -13: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 7) + 482 = 11(x + 64)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 11, \"d\": 64, \"f\": 482, \"x\": -16}", "seed": "1111852420122318480", "semantic_fingerprint": "sha256:4330c5d5d6646e27574fa8aa9ea89cd2936cc47d633e869b8b17ef0d07a69ca1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004780", "prompt": "What value of x satisfies 10x = 2(x + 470) - 940?", "solution_steps": ["Expand: 10x = 2x + 940 - 940", "Combine constants: 10x = 2x", "Subtract 2x from both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 2(x + 470) - 940", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 470, \"e\": -940, \"x\": 0}", "seed": "10337270648283646378", "semantic_fingerprint": "sha256:97de411d7128307ad01a0b3bb4e6ffe2c2f11dc175ea98c2d2a9471d35db92d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004781", "prompt": "Solve for x: 8x - 284 = 4(x - 71)", "solution_steps": ["Expand: 8x - 284 = 4x - 284", "Subtract 4x from both sides: 4x - 284 = -284", "Add 284 to both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 284 = 4(x - 71)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 71, \"e\": -284, \"x\": 0}", "seed": "2223911492849414399", "semantic_fingerprint": "sha256:9b999aeb78b7ee8177409857de2d977b4612b15291aaa4115c43f6824c3052b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004782", "prompt": "Find x: 12(x - 2) + 160 = -4(x + 2)", "solution_steps": ["Expand: 12x - 24 + 160 = -4(x + 2)", "Expand: 12x - 24 + 160 = -4x - 8", "Combine constants: 12x + 136 = -4x - 8", "Add 4x to both sides: 16x + 136 = -8", "Subtract 136 from both sides: 16x = -144", "Divide both sides by 16: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) + 160 = -4(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": -4, \"d\": 2, \"f\": 160, \"x\": -9}", "seed": "10023238108182443509", "semantic_fingerprint": "sha256:ed4dcafad59cc591b09dd4717067d2361e20dc0b476ec3ffd8b6320029abb34e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004783", "prompt": "Calculate: (-71 * 6 + 33 * (-63)) / (-54)", "solution_steps": ["Multiply: -71 * 6 = -426", "Multiply: 33 * (-63) = -2079", "Add: -426 + (-2079) = -2505", "Divide: -2505 / (-54) = 835/18"], "final_answer": "835/18", "answer_type": "rational", "kind": "expression", "math_text": "(-71 * 6 + 33 * (-63)) / (-54)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 6, \"c\": 33, \"d\": -63, \"e\": -54}", "seed": "2332448335600793869", "semantic_fingerprint": "sha256:7d104af185ba5c32bb8c581baea46d26c2e6e4648c9d6a88f06bcdc90a29d7ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004784", "prompt": "Compute: (38 - 47 / 92) * (-65 / (-7))", "solution_steps": ["Divide: 47 / 92 = 47/92", "Subtract: 38 - 47/92 = 3449/92", "Divide: -65 / (-7) = 65/7", "Multiply: (3449/92) * (65/7) = 224185/644"], "final_answer": "224185/644", "answer_type": "rational", "kind": "expression", "math_text": "(38 - 47 / 92) * (-65 / (-7))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 47, \"c\": 92, \"d\": -65, \"e\": -7}", "seed": "7698921410332046123", "semantic_fingerprint": "sha256:76f937a6b7194fb72c1c739e29396339bdc5fac048df08a3babbe15bfd59399f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004785", "prompt": "Calculate: -54 + (-87) + (-7) + (85 + 78)", "solution_steps": ["Add: -54 + (-87) = -141", "Add: -141 + (-7) = -148", "Add: 85 + 78 = 163", "Add: -148 + 163 = 15"], "final_answer": "15", "answer_type": "integer", "kind": "expression", "math_text": "-54 + (-87) + (-7) + (85 + 78)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -87, \"c\": -7, \"d\": 85, \"e\": 78}", "seed": "6092866144955137589", "semantic_fingerprint": "sha256:6535e2c1a85516c4dbf807691d08dd4c578f0a289ec0796b15a804a99886e12b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004786", "prompt": "Calculate: 8 / 6 - (-93 + (-266) / 518)", "solution_steps": ["Divide: 8 / 6 = 4/3", "Divide: -266 / 518 = -19/37", "Add: -93 + (-19/37) = -3460/37", "Subtract: 4/3 - (-3460/37) = 10528/111"], "final_answer": "10528/111", "answer_type": "rational", "kind": "expression", "math_text": "8 / 6 - (-93 + (-266) / 518)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": -93, \"d\": -266, \"e\": 518}", "seed": "7171509603687347897", "semantic_fingerprint": "sha256:1e1c3ff595b2db433e8d3afaef04cd0bcfac47fe7f2ed645f59538052538f96f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004787", "prompt": "Solve the equation 9(x + 1) + 8 = x + 57 for x.", "solution_steps": ["Expand: 9x + 9 + 8 = x + 57", "Combine constants: 9x + 17 = x + 57", "Subtract x from both sides: 8x + 17 = 57", "Subtract 17 from both sides: 8x = 40", "Divide both sides by 8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 1) + 8 = x + 57", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 8, \"e\": 57, \"x\": 5}", "seed": "10112253317622509508", "semantic_fingerprint": "sha256:a77ba2c608d3b18a9a5f2bf081049bdee83ed252681d6fe61acda2f81ad78d5c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004788", "prompt": "Compute: (-678 - (-7) / 2 - 738) * (-3 / 93)", "solution_steps": ["Divide: -7 / 2 = -7/2", "Subtract: -678 - (-7/2) = -1349/2", "Subtract: -1349/2 - 738 = -2825/2", "Divide: -3 / 93 = -1/31", "Multiply: (-2825/2) * (-1/31) = 2825/62"], "final_answer": "2825/62", "answer_type": "rational", "kind": "expression", "math_text": "(-678 - (-7) / 2 - 738) * (-3 / 93)", "variable": null, "family": "expression_5op", "shape": "(* (- (- n (/ n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -678, \"b\": -7, \"c\": 2, \"d\": 738, \"e\": -3, \"f\": 93}", "seed": "16463364892221796802", "semantic_fingerprint": "sha256:4f960979acf26086b422e85881c6466aad759739663335cbc614ac3af66fc387", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004789", "prompt": "Solve for x: 9(x - 3) - 47 = x + 8", "solution_steps": ["Expand: 9x - 27 - 47 = x + 8", "Combine constants: 9x - 74 = x + 8", "Subtract x from both sides: 8x - 74 = 8", "Add 74 to both sides: 8x = 82", "Divide both sides by 8: x = 41/4"], "final_answer": "41/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 3) - 47 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 47, \"d\": 8}", "seed": "8446570001545103680", "semantic_fingerprint": "sha256:a95e410d3aa11dea2ad0d5b6ebaaeecd00912c2368a7f0555dd2a303589bf286", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004790", "prompt": "Compute: (7 - (-4)) * (-610) / (30 - 40)", "solution_steps": ["Subtract: 7 - (-4) = 11", "Multiply: 11 * (-610) = -6710", "Subtract: 30 - 40 = -10", "Divide: -6710 / (-10) = 671"], "final_answer": "671", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-4)) * (-610) / (30 - 40)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -4, \"c\": -610, \"d\": 30, \"e\": 40}", "seed": "4874918215252653510", "semantic_fingerprint": "sha256:909778c5521f154bbd578ec7d9814e09b608b5f185460c1e8498f26e0b4bbf71", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004791", "prompt": "What value of x satisfies -6x - 26 = -7x - 16?", "solution_steps": ["Add 7x to both sides: x - 26 = -16", "Add 26 to both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 26 = -7x - 16", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 26, \"c\": -7, \"e\": -16, \"x\": 10}", "seed": "5421649259919553385", "semantic_fingerprint": "sha256:ea75b1bd0d2320843f43dac6b700dce1ce2ef9c0d9fcf156df345911438331f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004792", "prompt": "Solve the equation 7x = 12(x + 4) - 123 for x.", "solution_steps": ["Expand: 7x = 12x + 48 - 123", "Combine constants: 7x = 12x - 75", "Subtract 12x from both sides: -5x = -75", "Divide both sides by -5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 12(x + 4) - 123", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 4, \"e\": -123, \"x\": 15}", "seed": "15078348611041335118", "semantic_fingerprint": "sha256:988c5644357fd3119b3148d050fd80ee4be4845b4c68279a9a15cd7c5219709f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004793", "prompt": "Evaluate: (0 + 43) / (-502 - (-467) + (-92))", "solution_steps": ["Add: 0 + 43 = 43", "Subtract: -502 - (-467) = -35", "Add: -35 + (-92) = -127", "Divide: 43 / (-127) = -43/127"], "final_answer": "-43/127", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 43) / (-502 - (-467) + (-92))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 43, \"c\": -502, \"d\": -467, \"e\": -92}", "seed": "2388267378135549909", "semantic_fingerprint": "sha256:4acc120e5a3acaafd8054e0b40ad5ae87608f11dc6e96837bc1c9652fd87fb17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004794", "prompt": "What value of x satisfies 5(x + 4) = 2(x - 5) + 42?", "solution_steps": ["Expand: 5x + 20 = 2(x - 5) + 42", "Expand: 5x + 20 = 2x - 10 + 42", "Combine constants: 5x + 20 = 2x + 32", "Subtract 2x from both sides: 3x + 20 = 32", "Subtract 20 from both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 4) = 2(x - 5) + 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 2, \"d\": 5, \"f\": 42, \"x\": 4}", "seed": "2782615245615343619", "semantic_fingerprint": "sha256:d8de70d2bcfc6f0488145699a9b3527a24d778f3da90f3a0cb178267433675f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004795", "prompt": "What value of x satisfies 11x = 8(x + 2) - 538?", "solution_steps": ["Expand: 11x = 8x + 16 - 538", "Combine constants: 11x = 8x - 522", "Subtract 8x from both sides: 3x = -522", "Divide both sides by 3: x = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 8(x + 2) - 538", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 2, \"d\": 538}", "seed": "18143433645605622932", "semantic_fingerprint": "sha256:e95755af7a9bfb9e503a2c640f514fbfd0e2abe87e481c988dfd9e3d7e083298", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004796", "prompt": "Solve for x: 5x - 8 = -10x - 263", "solution_steps": ["Add 10x to both sides: 15x - 8 = -263", "Add 8 to both sides: 15x = -255", "Divide both sides by 15: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 8 = -10x - 263", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": -10, \"e\": -263, \"x\": -17}", "seed": "13152589683740907138", "semantic_fingerprint": "sha256:4dff21682bc47dee11aa6c8bd0fc8e55c557c7739fa590058fac5254e4e040f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004797", "prompt": "What value of x satisfies 3(x - 27) + 885 = 12(x + 73)?", "solution_steps": ["Expand: 3x - 81 + 885 = 12(x + 73)", "Expand: 3x - 81 + 885 = 12x + 876", "Combine constants: 3x + 804 = 12x + 876", "Subtract 12x from both sides: -9x + 804 = 876", "Subtract 804 from both sides: -9x = 72", "Divide both sides by -9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 27) + 885 = 12(x + 73)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 27, \"c\": 12, \"d\": 73, \"f\": 885, \"x\": -8}", "seed": "10428667409275886750", "semantic_fingerprint": "sha256:a504f29fefbf810832baf61e1f94fb08224d2af6be423d66e39de94fd053e976", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004798", "prompt": "Evaluate: -10 / (-3 / 273) + (-94)", "solution_steps": ["Divide: -3 / 273 = -1/91", "Divide: -10 / (-1/91) = 910", "Add: 910 + (-94) = 816"], "final_answer": "816", "answer_type": "integer", "kind": "expression", "math_text": "-10 / (-3 / 273) + (-94)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -3, \"c\": 273, \"d\": -94}", "seed": "18393718149291326336", "semantic_fingerprint": "sha256:44cf601b129821c165f857b5a26d8e8fa1d883f9a638c3ef2a01cdc629ba73df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004799", "prompt": "What is -928 + (1 + (-8)) + (81 - 374) * (-2)?", "solution_steps": ["Add: 1 + (-8) = -7", "Add: -928 + (-7) = -935", "Subtract: 81 - 374 = -293", "Multiply: -293 * (-2) = 586", "Add: -935 + 586 = -349"], "final_answer": "-349", "answer_type": "integer", "kind": "expression", "math_text": "-928 + (1 + (-8)) + (81 - 374) * (-2)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n n)) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -928, \"b\": 1, \"c\": -8, \"d\": 81, \"e\": 374, \"f\": -2}", "seed": "17189116633105610765", "semantic_fingerprint": "sha256:84784bfea844f9a4873deaf6083c19f65ed9aba212dbca47707cf135a6b46a04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004800", "prompt": "Compute: (-52 - (-46)) / (-97) * (386 - 0)", "solution_steps": ["Subtract: -52 - (-46) = -6", "Divide: -6 / (-97) = 6/97", "Subtract: 386 - 0 = 386", "Multiply: (6/97) * 386 = 2316/97"], "final_answer": "2316/97", "answer_type": "rational", "kind": "expression", "math_text": "(-52 - (-46)) / (-97) * (386 - 0)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -46, \"c\": -97, \"d\": 386, \"e\": 0}", "seed": "6637294389535007355", "semantic_fingerprint": "sha256:78c91f89015804d66c30e1e5dff6ba23bfc543e978d30a4bdb9f387f3dfdc8c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004801", "prompt": "Find x: 8(x - 30) + 384 = 4(x + 17)", "solution_steps": ["Expand: 8x - 240 + 384 = 4(x + 17)", "Expand: 8x - 240 + 384 = 4x + 68", "Combine constants: 8x + 144 = 4x + 68", "Subtract 4x from both sides: 4x + 144 = 68", "Subtract 144 from both sides: 4x = -76", "Divide both sides by 4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 30) + 384 = 4(x + 17)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 30, \"c\": 4, \"d\": 17, \"f\": 384, \"x\": -19}", "seed": "1219542852578432434", "semantic_fingerprint": "sha256:80c03f7378f0d603e4008a1405f5a5219acc7ab636e38054bc57ca0c5667d879", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004802", "prompt": "Evaluate: 53 + (133 - (50 + 2)) + 2", "solution_steps": ["Add: 50 + 2 = 52", "Subtract: 133 - 52 = 81", "Add: 53 + 81 = 134", "Add: 134 + 2 = 136"], "final_answer": "136", "answer_type": "integer", "kind": "expression", "math_text": "53 + (133 - (50 + 2)) + 2", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 133, \"c\": 50, \"d\": 2, \"e\": 2}", "seed": "7577453155003193055", "semantic_fingerprint": "sha256:c97ef82aff087eec71553b88b13a9f928b8824affe5432fc63b09d93e0e53f40", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004803", "prompt": "What is (2 + 13) / (-97 * 21) * 272?", "solution_steps": ["Add: 2 + 13 = 15", "Multiply: -97 * 21 = -2037", "Divide: 15 / (-2037) = -5/679", "Multiply: (-5/679) * 272 = -1360/679"], "final_answer": "-1360/679", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 13) / (-97 * 21) * 272", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 13, \"c\": -97, \"d\": 21, \"e\": 272}", "seed": "17203593718585650784", "semantic_fingerprint": "sha256:e4fb8c8a7531372ffc8ca062ae17871c144c773e98adacf97cf63c41569257a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004804", "prompt": "Evaluate: (-603 - (-983) - (-9)) * (-624)", "solution_steps": ["Subtract: -603 - (-983) = 380", "Subtract: 380 - (-9) = 389", "Multiply: 389 * (-624) = -242736"], "final_answer": "-242736", "answer_type": "integer", "kind": "expression", "math_text": "(-603 - (-983) - (-9)) * (-624)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -603, \"b\": -983, \"c\": -9, \"d\": -624}", "seed": "3925277602876323653", "semantic_fingerprint": "sha256:0ab8473750a037042c8ff402bac3790918b1471546be2ae83277f6e0e5f7f606", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004805", "prompt": "Calculate: 4 - (515 - (-318)) * (-913) + (-67)", "solution_steps": ["Subtract: 515 - (-318) = 833", "Multiply: 833 * (-913) = -760529", "Subtract: 4 - (-760529) = 760533", "Add: 760533 + (-67) = 760466"], "final_answer": "760466", "answer_type": "integer", "kind": "expression", "math_text": "4 - (515 - (-318)) * (-913) + (-67)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 515, \"c\": -318, \"d\": -913, \"e\": -67}", "seed": "2345041736279057152", "semantic_fingerprint": "sha256:32d3ab4d3525b06b7c131b104d52eaa56a33b45a76f42bf2c0f8bc00fab1b853", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004806", "prompt": "What is 3 * 896 * (2 / (-98))?", "solution_steps": ["Multiply: 3 * 896 = 2688", "Divide: 2 / (-98) = -1/49", "Multiply: 2688 * (-1/49) = -384/7"], "final_answer": "-384/7", "answer_type": "rational", "kind": "expression", "math_text": "3 * 896 * (2 / (-98))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 896, \"c\": 2, \"d\": -98}", "seed": "8024815374626928251", "semantic_fingerprint": "sha256:956a0e97f2dbb4fca4eb8b3065deb870c931f01048a7a3d8d850d1cf5ec8b071", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004807", "prompt": "What value of x satisfies 2x - 464 = 10(x - 52)?", "solution_steps": ["Expand: 2x - 464 = 10x - 520", "Subtract 10x from both sides: -8x - 464 = -520", "Add 464 to both sides: -8x = -56", "Divide both sides by -8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 464 = 10(x - 52)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 52, \"e\": -464, \"x\": 7}", "seed": "3296807911568888303", "semantic_fingerprint": "sha256:aae60fd84af13943f58ad3434290aed129d2c084075c433c0cf6dc5a5b766117", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004808", "prompt": "What is 349 - 76 - (-58) + (74 + 4 * 455)?", "solution_steps": ["Subtract: 349 - 76 = 273", "Subtract: 273 - (-58) = 331", "Multiply: 4 * 455 = 1820", "Add: 74 + 1820 = 1894", "Add: 331 + 1894 = 2225"], "final_answer": "2225", "answer_type": "integer", "kind": "expression", "math_text": "349 - 76 - (-58) + (74 + 4 * 455)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 349, \"b\": 76, \"c\": -58, \"d\": 74, \"e\": 4, \"f\": 455}", "seed": "2617395880887078932", "semantic_fingerprint": "sha256:814f8ca8c2bf0fb92924c3c216dc52535dcf5fbcde91664a81e4b02718dc544e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004809", "prompt": "Solve for x: 11(x + 59) = 6(x - 90) + 97", "solution_steps": ["Expand: 11x + 649 = 6(x - 90) + 97", "Expand: 11x + 649 = 6x - 540 + 97", "Combine constants: 11x + 649 = 6x - 443", "Subtract 6x from both sides: 5x + 649 = -443", "Subtract 649 from both sides: 5x = -1092", "Divide both sides by 5: x = -1092/5"], "final_answer": "-1092/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 59) = 6(x - 90) + 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 59, \"c\": 6, \"d\": 90, \"e\": 97}", "seed": "7702847747519375498", "semantic_fingerprint": "sha256:c48fcb4d852e7cf7f86d932c4080854f6e3401af065ee3f104543a3395c60a2a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004810", "prompt": "Evaluate: -28 - (87 - (4 * 3 - (-16)))", "solution_steps": ["Multiply: 4 * 3 = 12", "Subtract: 12 - (-16) = 28", "Subtract: 87 - 28 = 59", "Subtract: -28 - 59 = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-28 - (87 - (4 * 3 - (-16)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (- (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 87, \"c\": 4, \"d\": 3, \"e\": -16}", "seed": "5624534556458228307", "semantic_fingerprint": "sha256:acb95e3383d5b48f547d3e548a8c9d7efe18699be4ee044e5514d3f1316ea14a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004811", "prompt": "Solve for x: 8(x + 6) = 5(x - 35) + 211", "solution_steps": ["Expand: 8x + 48 = 5(x - 35) + 211", "Expand: 8x + 48 = 5x - 175 + 211", "Combine constants: 8x + 48 = 5x + 36", "Subtract 5x from both sides: 3x + 48 = 36", "Subtract 48 from both sides: 3x = -12", "Divide both sides by 3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 6) = 5(x - 35) + 211", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 5, \"d\": 35, \"f\": 211, \"x\": -4}", "seed": "12427641813020742464", "semantic_fingerprint": "sha256:4bb7885f0832a56060f6a56ee2a9de4729d52c93d4b8dec743763b9e466e0d58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004812", "prompt": "Solve for x: 11(x + 52) - 928 = x + 2", "solution_steps": ["Expand: 11x + 572 - 928 = x + 2", "Combine constants: 11x - 356 = x + 2", "Subtract x from both sides: 10x - 356 = 2", "Add 356 to both sides: 10x = 358", "Divide both sides by 10: x = 179/5"], "final_answer": "179/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 52) - 928 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 52, \"c\": 928, \"d\": 2}", "seed": "11741620975794628233", "semantic_fingerprint": "sha256:102d45fcf61fd154fd0d82426528faaceb3ff3ac3e07d45e6c58473960d9a40a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004813", "prompt": "Evaluate: (9 + (-21)) * 9 - (17 - 1)", "solution_steps": ["Add: 9 + (-21) = -12", "Multiply: -12 * 9 = -108", "Subtract: 17 - 1 = 16", "Subtract: -108 - 16 = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (-21)) * 9 - (17 - 1)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -21, \"c\": 9, \"d\": 17, \"e\": 1}", "seed": "8601222990332450841", "semantic_fingerprint": "sha256:d1eb9129b4e47a9e002e3faeb14e80cd9308c220d4b10b742d0764222092490d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004814", "prompt": "Calculate: 650 - (-8 - (15 + 73 * 815))", "solution_steps": ["Multiply: 73 * 815 = 59495", "Add: 15 + 59495 = 59510", "Subtract: -8 - 59510 = -59518", "Subtract: 650 - (-59518) = 60168"], "final_answer": "60168", "answer_type": "integer", "kind": "expression", "math_text": "650 - (-8 - (15 + 73 * 815))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 650, \"b\": -8, \"c\": 15, \"d\": 73, \"e\": 815}", "seed": "17876445830664166215", "semantic_fingerprint": "sha256:8cbc5de662b806c40331f9e4abda69d4add8d56bd453fe44a3335b4d3937a528", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004815", "prompt": "Calculate: -13 + 760 + (-504) - (16 + 6)", "solution_steps": ["Add: -13 + 760 = 747", "Add: 747 + (-504) = 243", "Add: 16 + 6 = 22", "Subtract: 243 - 22 = 221"], "final_answer": "221", "answer_type": "integer", "kind": "expression", "math_text": "-13 + 760 + (-504) - (16 + 6)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 760, \"c\": -504, \"d\": 16, \"e\": 6}", "seed": "10673127743857265772", "semantic_fingerprint": "sha256:dac5a3cecb5054f6252db50fabaa4b5f5106e6c7bec96b6e6cf83af0ba0bbef0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004816", "prompt": "Evaluate: 94 / (-6 * (9 + (-8)))", "solution_steps": ["Add: 9 + (-8) = 1", "Multiply: -6 * 1 = -6", "Divide: 94 / (-6) = -47/3"], "final_answer": "-47/3", "answer_type": "rational", "kind": "expression", "math_text": "94 / (-6 * (9 + (-8)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -6, \"c\": 9, \"d\": -8}", "seed": "1809994866356774324", "semantic_fingerprint": "sha256:b5da492d66a044b91e29f595ed301f058e383f6ca1073e8f575a76f31169bd3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004817", "prompt": "What is -8 * 52 + (-89) * (-775) + (-72)?", "solution_steps": ["Multiply: -8 * 52 = -416", "Multiply: -89 * (-775) = 68975", "Add: -416 + 68975 = 68559", "Add: 68559 + (-72) = 68487"], "final_answer": "68487", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 52 + (-89) * (-775) + (-72)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 52, \"c\": -89, \"d\": -775, \"e\": -72}", "seed": "10188415272862859951", "semantic_fingerprint": "sha256:86760234945a20aa84982402471e3233d8496aeb82d10515d5a88a69b8754566", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004818", "prompt": "What is -30 - (-44 - (-913)) - (-103 + (-23))?", "solution_steps": ["Subtract: -44 - (-913) = 869", "Subtract: -30 - 869 = -899", "Add: -103 + (-23) = -126", "Subtract: -899 - (-126) = -773"], "final_answer": "-773", "answer_type": "integer", "kind": "expression", "math_text": "-30 - (-44 - (-913)) - (-103 + (-23))", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -44, \"c\": -913, \"d\": -103, \"e\": -23}", "seed": "17154160462055045230", "semantic_fingerprint": "sha256:2398488d7ab6c63c4cf9d44c82e286e7db6db0edce68708585b3684d39863e8f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004819", "prompt": "What is -5 / 6 * (-87 * 4) / (-75)?", "solution_steps": ["Divide: -5 / 6 = -5/6", "Multiply: -87 * 4 = -348", "Multiply: (-5/6) * (-348) = 290", "Divide: 290 / (-75) = -58/15"], "final_answer": "-58/15", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 6 * (-87 * 4) / (-75)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": -87, \"d\": 4, \"e\": -75}", "seed": "13957333873246851357", "semantic_fingerprint": "sha256:b836cf599cb8fc329eabe2c49a22cfee4113cb0dd2a810053b93451763356443", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004820", "prompt": "Evaluate: -5 - (-9 - (-18 + (235 + 806)))", "solution_steps": ["Add: 235 + 806 = 1041", "Add: -18 + 1041 = 1023", "Subtract: -9 - 1023 = -1032", "Subtract: -5 - (-1032) = 1027"], "final_answer": "1027", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-9 - (-18 + (235 + 806)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -9, \"c\": -18, \"d\": 235, \"e\": 806}", "seed": "2342195909916398725", "semantic_fingerprint": "sha256:e2758e2bb66aab1e24ead5d64b97b2ddff873136fbb749503c782d4480a3fa2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004821", "prompt": "What value of x satisfies 2x - 66 = 4(x - 11)?", "solution_steps": ["Expand: 2x - 66 = 4x - 44", "Subtract 4x from both sides: -2x - 66 = -44", "Add 66 to both sides: -2x = 22", "Divide both sides by -2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 66 = 4(x - 11)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 11, \"e\": -66, \"x\": -11}", "seed": "12342039550929108047", "semantic_fingerprint": "sha256:beec73b12156bbca4852cc0110e9eec9df2ec26e70fde47cc162fcb12564e1a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004822", "prompt": "Evaluate: (53 + 722) / (553 + (-482))", "solution_steps": ["Add: 53 + 722 = 775", "Add: 553 + (-482) = 71", "Divide: 775 / 71 = 775/71"], "final_answer": "775/71", "answer_type": "rational", "kind": "expression", "math_text": "(53 + 722) / (553 + (-482))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 722, \"c\": 553, \"d\": -482}", "seed": "17273092676157743136", "semantic_fingerprint": "sha256:ec05a8fbac8c306700bf1ded4f923bdb37839307be28acd2e028d180048555e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004823", "prompt": "Evaluate: 6 + (-3 - (-9)) + 22 * (9 + 1)", "solution_steps": ["Subtract: -3 - (-9) = 6", "Add: 6 + 6 = 12", "Add: 9 + 1 = 10", "Multiply: 22 * 10 = 220", "Add: 12 + 220 = 232"], "final_answer": "232", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-3 - (-9)) + 22 * (9 + 1)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n n)) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -3, \"c\": -9, \"d\": 22, \"e\": 9, \"f\": 1}", "seed": "13672001987820482907", "semantic_fingerprint": "sha256:d86525b5f192313de4ff71e5d6b63550a05b6e4ff7d26f4d54fc5dfddce02d00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004824", "prompt": "Solve the equation 5x = 12(x + 7) + 49 for x.", "solution_steps": ["Expand: 5x = 12x + 84 + 49", "Combine constants: 5x = 12x + 133", "Subtract 12x from both sides: -7x = 133", "Divide both sides by -7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 12(x + 7) + 49", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 7, \"e\": 49, \"x\": -19}", "seed": "12265734263074046086", "semantic_fingerprint": "sha256:15723d6c148cd6da711baad1d8f805c2d4b0dbe372828362559c4c5aae09dc3a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004825", "prompt": "Find x: 8(x + 15) + 7 = x + 204", "solution_steps": ["Expand: 8x + 120 + 7 = x + 204", "Combine constants: 8x + 127 = x + 204", "Subtract x from both sides: 7x + 127 = 204", "Subtract 127 from both sides: 7x = 77", "Divide both sides by 7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 15) + 7 = x + 204", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 15, \"c\": 7, \"e\": 204, \"x\": 11}", "seed": "3515349106873539751", "semantic_fingerprint": "sha256:6142967af41ee9569894481b31f95768ec9c844fe0d61e54aacf27eab6f81330", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004826", "prompt": "What is (-4 / (-79) + (512 + 19)) / 1?", "solution_steps": ["Divide: -4 / (-79) = 4/79", "Add: 512 + 19 = 531", "Add: 4/79 + 531 = 41953/79", "Divide: (41953/79) / 1 = 41953/79"], "final_answer": "41953/79", "answer_type": "rational", "kind": "expression", "math_text": "(-4 / (-79) + (512 + 19)) / 1", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -79, \"c\": 512, \"d\": 19, \"e\": 1}", "seed": "173795447177158878", "semantic_fingerprint": "sha256:75eb76e1a1dc16ce42b763766391499ca210f136b8a0dd22fdac36c03992c669", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004827", "prompt": "Evaluate: (78 - 6 - (-61 + 9) - 67) / (-4)", "solution_steps": ["Subtract: 78 - 6 = 72", "Add: -61 + 9 = -52", "Subtract: 72 - (-52) = 124", "Subtract: 124 - 67 = 57", "Divide: 57 / (-4) = -57/4"], "final_answer": "-57/4", "answer_type": "rational", "kind": "expression", "math_text": "(78 - 6 - (-61 + 9) - 67) / (-4)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 6, \"c\": -61, \"d\": 9, \"e\": 67, \"f\": -4}", "seed": "11872970345116712038", "semantic_fingerprint": "sha256:1240ad28e531c13b9009a179a651df9a6ec1bd3baab0fbc9a324ff2fea8bd171", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004828", "prompt": "What value of x satisfies 9(x - 22) + 364 = 7(x + 28)?", "solution_steps": ["Expand: 9x - 198 + 364 = 7(x + 28)", "Expand: 9x - 198 + 364 = 7x + 196", "Combine constants: 9x + 166 = 7x + 196", "Subtract 7x from both sides: 2x + 166 = 196", "Subtract 166 from both sides: 2x = 30", "Divide both sides by 2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 22) + 364 = 7(x + 28)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 22, \"c\": 7, \"d\": 28, \"f\": 364, \"x\": 15}", "seed": "865544026010179532", "semantic_fingerprint": "sha256:09d9d58b01e76a70321c4e3433fd2d774f50c84268f5d381d820de139bbe0c49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004829", "prompt": "Compute: (671 + (-570)) / (-16) + (-43)", "solution_steps": ["Add: 671 + (-570) = 101", "Divide: 101 / (-16) = -101/16", "Add: -101/16 + (-43) = -789/16"], "final_answer": "-789/16", "answer_type": "rational", "kind": "expression", "math_text": "(671 + (-570)) / (-16) + (-43)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 671, \"b\": -570, \"c\": -16, \"d\": -43}", "seed": "15253591199214203296", "semantic_fingerprint": "sha256:12c6082f8d0847c64939812eef755d5a9a23401eb2ab43b46e246d73e52d32f7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004830", "prompt": "Solve the equation 6(x + 432) + 18 = x + 26 for x.", "solution_steps": ["Expand: 6x + 2592 + 18 = x + 26", "Combine constants: 6x + 2610 = x + 26", "Subtract x from both sides: 5x + 2610 = 26", "Subtract 2610 from both sides: 5x = -2584", "Divide both sides by 5: x = -2584/5"], "final_answer": "-2584/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 432) + 18 = x + 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 432, \"c\": 18, \"d\": 26}", "seed": "9112704082152987251", "semantic_fingerprint": "sha256:d780954e906ca2388c5cc3d40f2382a3089de4145319448d59761708f636d269", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004831", "prompt": "What is (-63 - 6 - 15) * 120?", "solution_steps": ["Subtract: -63 - 6 = -69", "Subtract: -69 - 15 = -84", "Multiply: -84 * 120 = -10080"], "final_answer": "-10080", "answer_type": "integer", "kind": "expression", "math_text": "(-63 - 6 - 15) * 120", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 6, \"c\": 15, \"d\": 120}", "seed": "7519503145849877247", "semantic_fingerprint": "sha256:38568f95efbf748dcc1f1016fad21d7e3e5512b137efd30890b722af2102fde2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004832", "prompt": "What is (-33 - (87 + (-82))) * 1?", "solution_steps": ["Add: 87 + (-82) = 5", "Subtract: -33 - 5 = -38", "Multiply: -38 * 1 = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "expression", "math_text": "(-33 - (87 + (-82))) * 1", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 87, \"c\": -82, \"d\": 1}", "seed": "17153372043042626505", "semantic_fingerprint": "sha256:bc5e7bbf47223d16c1a1d4046a1ed1cd551644d469b66592a6498433baa50688", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004833", "prompt": "What is -234 - 4 * (-216 / (-16))?", "solution_steps": ["Divide: -216 / (-16) = 27/2", "Multiply: 4 * (27/2) = 54", "Subtract: -234 - 54 = -288"], "final_answer": "-288", "answer_type": "integer", "kind": "expression", "math_text": "-234 - 4 * (-216 / (-16))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -234, \"b\": 4, \"c\": -216, \"d\": -16}", "seed": "3831838408690680723", "semantic_fingerprint": "sha256:d76c7e8771f4c4ccd4aae5b6813e3eef6643f0e7db731997190565f4e3c2941d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004834", "prompt": "Evaluate: -1 * 7 + 4 / (779 - 12)", "solution_steps": ["Multiply: -1 * 7 = -7", "Subtract: 779 - 12 = 767", "Divide: 4 / 767 = 4/767", "Add: -7 + 4/767 = -5365/767"], "final_answer": "-5365/767", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 7 + 4 / (779 - 12)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 7, \"c\": 4, \"d\": 779, \"e\": 12}", "seed": "8819306937408705455", "semantic_fingerprint": "sha256:7f2d4ebfa0cee8e72fba07b5e1d37f984756e11e15411785a9b510df20ed334f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004835", "prompt": "What value of x satisfies 8x - 922 = 2(x - 464)?", "solution_steps": ["Expand: 8x - 922 = 2x - 928", "Subtract 2x from both sides: 6x - 922 = -928", "Add 922 to both sides: 6x = -6", "Divide both sides by 6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 922 = 2(x - 464)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 464, \"e\": -922, \"x\": -1}", "seed": "8217804832194978453", "semantic_fingerprint": "sha256:459443cba96b218cd3c99cf6737979a0f05993b59b50c5f64edc84f05f254836", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004836", "prompt": "Solve the equation 7(x + 20) - 44 = x + 78 for x.", "solution_steps": ["Expand: 7x + 140 - 44 = x + 78", "Combine constants: 7x + 96 = x + 78", "Subtract x from both sides: 6x + 96 = 78", "Subtract 96 from both sides: 6x = -18", "Divide both sides by 6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 20) - 44 = x + 78", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 20, \"c\": 44, \"e\": 78, \"x\": -3}", "seed": "2183854030302931053", "semantic_fingerprint": "sha256:93d7ba060d9f78de2cc907d4d87978efe45ac45b8db7226d8504b42b36ce0d84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004837", "prompt": "What is 1 + (-35 - 7) + (-266)?", "solution_steps": ["Subtract: -35 - 7 = -42", "Add: 1 + (-42) = -41", "Add: -41 + (-266) = -307"], "final_answer": "-307", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-35 - 7) + (-266)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -35, \"c\": 7, \"d\": -266}", "seed": "2635426706515764957", "semantic_fingerprint": "sha256:0eb843ac1dc9d9646edf4fec7e7e32f6667d7c51e81e137e9c3036f0474cbfc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004838", "prompt": "Solve for x: -7(x + 6) = -5(x - 5) + 3", "solution_steps": ["Expand: -7x - 42 = -5(x - 5) + 3", "Expand: -7x - 42 = -5x + 25 + 3", "Combine constants: -7x - 42 = -5x + 28", "Add 5x to both sides: -2x - 42 = 28", "Add 42 to both sides: -2x = 70", "Divide both sides by -2: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 6) = -5(x - 5) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": -5, \"d\": 5, \"e\": 3}", "seed": "5023428291593953023", "semantic_fingerprint": "sha256:4f99271d0fb28366d48aaf50c4f13d654eac32ee5d009767c3a7683b1e2cdbf3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004839", "prompt": "What is -93 * (-8) + (0 - (-2))?", "solution_steps": ["Multiply: -93 * (-8) = 744", "Subtract: 0 - (-2) = 2", "Add: 744 + 2 = 746"], "final_answer": "746", "answer_type": "integer", "kind": "expression", "math_text": "-93 * (-8) + (0 - (-2))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -8, \"c\": 0, \"d\": -2}", "seed": "15526043426029327700", "semantic_fingerprint": "sha256:e02d4efa15dadd4be749bd7721017c3da68a8c4ecb184f3976510923ded140b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004840", "prompt": "Calculate: (-883 + 52) / (-82) + 8", "solution_steps": ["Add: -883 + 52 = -831", "Divide: -831 / (-82) = 831/82", "Add: 831/82 + 8 = 1487/82"], "final_answer": "1487/82", "answer_type": "rational", "kind": "expression", "math_text": "(-883 + 52) / (-82) + 8", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -883, \"b\": 52, \"c\": -82, \"d\": 8}", "seed": "2537082419840393337", "semantic_fingerprint": "sha256:388d2f7e10752f6aa122f3a035be76b9e466b6cf8d0db0ac6cd21fa054ab43ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004841", "prompt": "What value of x satisfies 6(x - 9) + 6 = -7(x + 524)?", "solution_steps": ["Expand: 6x - 54 + 6 = -7(x + 524)", "Expand: 6x - 54 + 6 = -7x - 3668", "Combine constants: 6x - 48 = -7x - 3668", "Add 7x to both sides: 13x - 48 = -3668", "Add 48 to both sides: 13x = -3620", "Divide both sides by 13: x = -3620/13"], "final_answer": "-3620/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 9) + 6 = -7(x + 524)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 6, \"d\": -7, \"e\": 524}", "seed": "2062827464549029331", "semantic_fingerprint": "sha256:f666948a2f0df1d29ba72175010d26c44e8b78cf8556b2c256469de625b92768", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004842", "prompt": "Compute: 554 - (14 + (-80)) / (-94)", "solution_steps": ["Add: 14 + (-80) = -66", "Divide: -66 / (-94) = 33/47", "Subtract: 554 - 33/47 = 26005/47"], "final_answer": "26005/47", "answer_type": "rational", "kind": "expression", "math_text": "554 - (14 + (-80)) / (-94)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 554, \"b\": 14, \"c\": -80, \"d\": -94}", "seed": "9452715435382631122", "semantic_fingerprint": "sha256:4bf11a8bd5adcbecbe0612ab7add58380ff7ff9b664673f8a0be48bfb8e2e59c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004843", "prompt": "Evaluate: 5 * (-71) + (-7) * 4", "solution_steps": ["Multiply: 5 * (-71) = -355", "Multiply: -7 * 4 = -28", "Add: -355 + (-28) = -383"], "final_answer": "-383", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-71) + (-7) * 4", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -71, \"c\": -7, \"d\": 4}", "seed": "3180170746933161548", "semantic_fingerprint": "sha256:4dd89f29188ddefc4fd856337d5d6cc9261e750b56eb4e5145fd28ecf92b1983", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004844", "prompt": "Evaluate: 935 + (-506) - (-7) * (-24 * 506) - (-26)", "solution_steps": ["Add: 935 + (-506) = 429", "Multiply: -24 * 506 = -12144", "Multiply: -7 * (-12144) = 85008", "Subtract: 429 - 85008 = -84579", "Subtract: -84579 - (-26) = -84553"], "final_answer": "-84553", "answer_type": "integer", "kind": "expression", "math_text": "935 + (-506) - (-7) * (-24 * 506) - (-26)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (* n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 935, \"b\": -506, \"c\": -7, \"d\": -24, \"e\": 506, \"f\": -26}", "seed": "3415821275688221292", "semantic_fingerprint": "sha256:56e43655b576c1cfc188b7ee9213ef82b501f06fcfa8813f565c641f0a6dcd86", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004845", "prompt": "Calculate: (-83 - (-97 + 8)) * 1", "solution_steps": ["Add: -97 + 8 = -89", "Subtract: -83 - (-89) = 6", "Multiply: 6 * 1 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "(-83 - (-97 + 8)) * 1", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -97, \"c\": 8, \"d\": 1}", "seed": "3113089849929505540", "semantic_fingerprint": "sha256:0cad5a41e84b3ab60464e350a85bcd46b3e0dc18f7dccb3e4ee24f05c9d99fb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004846", "prompt": "Calculate: -68 * (-93) * (79 / (-448))", "solution_steps": ["Multiply: -68 * (-93) = 6324", "Divide: 79 / (-448) = -79/448", "Multiply: 6324 * (-79/448) = -124899/112"], "final_answer": "-124899/112", "answer_type": "rational", "kind": "expression", "math_text": "-68 * (-93) * (79 / (-448))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -93, \"c\": 79, \"d\": -448}", "seed": "10593004707540309254", "semantic_fingerprint": "sha256:41a633b98d30f4d38caf25025f2154121aeecd099416dae6ee56865ef0bcd8e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004847", "prompt": "Solve the equation -5(x + 9) + 56 = x + 5 for x.", "solution_steps": ["Expand: -5x - 45 + 56 = x + 5", "Combine constants: -5x + 11 = x + 5", "Subtract x from both sides: -6x + 11 = 5", "Subtract 11 from both sides: -6x = -6", "Divide both sides by -6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 9) + 56 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 56, \"e\": 5, \"x\": 1}", "seed": "400092477714374988", "semantic_fingerprint": "sha256:29897d1288653b4e603a534c464639b8bd0d4ceb3b0479e4793d2a25a8eab911", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004848", "prompt": "Compute: -801 / (-32) / (-2) - (-500)", "solution_steps": ["Divide: -801 / (-32) = 801/32", "Divide: (801/32) / (-2) = -801/64", "Subtract: -801/64 - (-500) = 31199/64"], "final_answer": "31199/64", "answer_type": "rational", "kind": "expression", "math_text": "-801 / (-32) / (-2) - (-500)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -801, \"b\": -32, \"c\": -2, \"d\": -500}", "seed": "8350740228304715786", "semantic_fingerprint": "sha256:ba4b3f209076d28ccb882ec2d3ece3ec216f5fcbe9baa889102e2f8ba8048eb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004849", "prompt": "Find x: 3x - 995 = 5x - 579", "solution_steps": ["Subtract 5x from both sides: -2x - 995 = -579", "Add 995 to both sides: -2x = 416", "Divide both sides by -2: x = -208"], "final_answer": "-208", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 995 = 5x - 579", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 995, \"c\": 5, \"d\": 579}", "seed": "15992174823277578439", "semantic_fingerprint": "sha256:8b748a3f84bb2227d895f36a32e97b1154eb0fa9f30f797c34c506f3cc294d4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004850", "prompt": "What value of x satisfies 8x - 844 = 9(x - 92)?", "solution_steps": ["Expand: 8x - 844 = 9x - 828", "Subtract 9x from both sides: -x - 844 = -828", "Add 844 to both sides: -x = 16", "Divide both sides by -1: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 844 = 9(x - 92)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 92, \"e\": -844, \"x\": -16}", "seed": "16224984355730742437", "semantic_fingerprint": "sha256:13bb2d57fce680c55a41b872fd472fbf4ef0cbbdd2a82b9499ce18fd5e88a657", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004851", "prompt": "Solve for x: 7x - 98 = 12x - 198", "solution_steps": ["Subtract 12x from both sides: -5x - 98 = -198", "Add 98 to both sides: -5x = -100", "Divide both sides by -5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 98 = 12x - 198", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 98, \"c\": 12, \"e\": -198, \"x\": 20}", "seed": "4473228210013765303", "semantic_fingerprint": "sha256:67925e97ce190923324413dc5eb1d882be2d38b062f9ec5e4ac0795148f31758", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004852", "prompt": "Calculate: 9 / 46 - (-8 + (-6) / 42)", "solution_steps": ["Divide: 9 / 46 = 9/46", "Divide: -6 / 42 = -1/7", "Add: -8 + (-1/7) = -57/7", "Subtract: 9/46 - (-57/7) = 2685/322"], "final_answer": "2685/322", "answer_type": "rational", "kind": "expression", "math_text": "9 / 46 - (-8 + (-6) / 42)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 46, \"c\": -8, \"d\": -6, \"e\": 42}", "seed": "8212648277679838554", "semantic_fingerprint": "sha256:0031a834396f684ee5e22b9dc8e6d4f0eec0e708cd2ebc2b347683c6144b5e3f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004853", "prompt": "What is (161 + (-57)) / (4 + 48)?", "solution_steps": ["Add: 161 + (-57) = 104", "Add: 4 + 48 = 52", "Divide: 104 / 52 = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "(161 + (-57)) / (4 + 48)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 161, \"b\": -57, \"c\": 4, \"d\": 48}", "seed": "331224703128098266", "semantic_fingerprint": "sha256:4451b226031c79ddecce847ddb9219cd27beb49e91b3d6ace753903f0e1abc5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004854", "prompt": "Compute: -823 - (71 - 5 + (-2)) - (-73)", "solution_steps": ["Subtract: 71 - 5 = 66", "Add: 66 + (-2) = 64", "Subtract: -823 - 64 = -887", "Subtract: -887 - (-73) = -814"], "final_answer": "-814", "answer_type": "integer", "kind": "expression", "math_text": "-823 - (71 - 5 + (-2)) - (-73)", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -823, \"b\": 71, \"c\": 5, \"d\": -2, \"e\": -73}", "seed": "1991750274237896881", "semantic_fingerprint": "sha256:ecfdcfe76e248a4348d765017a17867af4564091c05ae1121bb641cfd5f7e552", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004855", "prompt": "Evaluate: 26 / 3 / (-60) - 6", "solution_steps": ["Divide: 26 / 3 = 26/3", "Divide: (26/3) / (-60) = -13/90", "Subtract: -13/90 - 6 = -553/90"], "final_answer": "-553/90", "answer_type": "rational", "kind": "expression", "math_text": "26 / 3 / (-60) - 6", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 3, \"c\": -60, \"d\": 6}", "seed": "621876598260074556", "semantic_fingerprint": "sha256:e7e129e1fd6bfbed4f6200d5f4c4c2da12ae2fb77f6a868c97b875ab4da2be83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004856", "prompt": "Solve the equation -3(x - 9) - 27 = x + 76 for x.", "solution_steps": ["Expand: -3x + 27 - 27 = x + 76", "Combine constants: -3x = x + 76", "Subtract x from both sides: -4x = 76", "Divide both sides by -4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 9) - 27 = x + 76", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 27, \"e\": 76, \"x\": -19}", "seed": "3399272699035484165", "semantic_fingerprint": "sha256:bf24cce14775aa124a1b3e7685b445cc2a8a111fc57efdafb61d9453bb9bbeb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004857", "prompt": "Compute: -505 * 71 + 667 * (4 * 4)", "solution_steps": ["Multiply: -505 * 71 = -35855", "Multiply: 4 * 4 = 16", "Multiply: 667 * 16 = 10672", "Add: -35855 + 10672 = -25183"], "final_answer": "-25183", "answer_type": "integer", "kind": "expression", "math_text": "-505 * 71 + 667 * (4 * 4)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -505, \"b\": 71, \"c\": 667, \"d\": 4, \"e\": 4}", "seed": "12232412223588592548", "semantic_fingerprint": "sha256:d0683bb7b6b4ca1e1e4799933a4a15e11ccd839bb56c89e2d1e4ce42726a0687", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004858", "prompt": "What is 176 - (79 + 50) / 629?", "solution_steps": ["Add: 79 + 50 = 129", "Divide: 129 / 629 = 129/629", "Subtract: 176 - 129/629 = 110575/629"], "final_answer": "110575/629", "answer_type": "rational", "kind": "expression", "math_text": "176 - (79 + 50) / 629", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 176, \"b\": 79, \"c\": 50, \"d\": 629}", "seed": "16378867270595703128", "semantic_fingerprint": "sha256:bef3fcc344f1754b059d92c81852ee7e2303a95d531f3d09aca899209e1b87d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004859", "prompt": "Calculate: (-9 + 264) * 8 - (29 - 28)", "solution_steps": ["Add: -9 + 264 = 255", "Multiply: 255 * 8 = 2040", "Subtract: 29 - 28 = 1", "Subtract: 2040 - 1 = 2039"], "final_answer": "2039", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + 264) * 8 - (29 - 28)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 264, \"c\": 8, \"d\": 29, \"e\": 28}", "seed": "16819691703400893056", "semantic_fingerprint": "sha256:717a9801a7a4f38172ac739aa9b20397f41ed9af4ad08adefddd45a31ccb302c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004860", "prompt": "Calculate: -4 * (-97 * 33 - (-949 + (-821))) * (-2)", "solution_steps": ["Multiply: -97 * 33 = -3201", "Add: -949 + (-821) = -1770", "Subtract: -3201 - (-1770) = -1431", "Multiply: -4 * (-1431) = 5724", "Multiply: 5724 * (-2) = -11448"], "final_answer": "-11448", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-97 * 33 - (-949 + (-821))) * (-2)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- (* n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -97, \"c\": 33, \"d\": -949, \"e\": -821, \"f\": -2}", "seed": "2673180505484118202", "semantic_fingerprint": "sha256:7b5c4d9b68026e171790928e013a6b555b08fe8b00827a36c8ea22d374c04592", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004861", "prompt": "Find x: 6x - 655 = 3x - 643", "solution_steps": ["Subtract 3x from both sides: 3x - 655 = -643", "Add 655 to both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 655 = 3x - 643", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 655, \"c\": 3, \"e\": -643, \"x\": 4}", "seed": "2301992326632930667", "semantic_fingerprint": "sha256:cf2da72dcd67efa2e866036ddef4b3b2cfea20b2222e2f3c513f86da5cbc19d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004862", "prompt": "Calculate: 62 + (-922 - (-60)) + 741", "solution_steps": ["Subtract: -922 - (-60) = -862", "Add: 62 + (-862) = -800", "Add: -800 + 741 = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "expression", "math_text": "62 + (-922 - (-60)) + 741", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -922, \"c\": -60, \"d\": 741}", "seed": "397598504380734654", "semantic_fingerprint": "sha256:2cbc3ac0fca9a1ce6f35d430b4566eb48675db08466f8d59442bc3b03cb32b25", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004863", "prompt": "Calculate: 325 * (-21) + 282 * (-6)", "solution_steps": ["Multiply: 325 * (-21) = -6825", "Multiply: 282 * (-6) = -1692", "Add: -6825 + (-1692) = -8517"], "final_answer": "-8517", "answer_type": "integer", "kind": "expression", "math_text": "325 * (-21) + 282 * (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 325, \"b\": -21, \"c\": 282, \"d\": -6}", "seed": "9093023160191566382", "semantic_fingerprint": "sha256:c70dc53fb6f7615228602a9d1536eaa0174bda05102d7689d1d76240d0038ae9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004864", "prompt": "What is 39 / (-36) + (-26 - (-69 - (-7)))?", "solution_steps": ["Divide: 39 / (-36) = -13/12", "Subtract: -69 - (-7) = -62", "Subtract: -26 - (-62) = 36", "Add: -13/12 + 36 = 419/12"], "final_answer": "419/12", "answer_type": "rational", "kind": "expression", "math_text": "39 / (-36) + (-26 - (-69 - (-7)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -36, \"c\": -26, \"d\": -69, \"e\": -7}", "seed": "14260196347246648039", "semantic_fingerprint": "sha256:0472f849471fb68bb71d787df3d28add1fca0ef343877bf15359869c44d5cacf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004865", "prompt": "Solve for x: 12x - 394 = 7(x - 57)", "solution_steps": ["Expand: 12x - 394 = 7x - 399", "Subtract 7x from both sides: 5x - 394 = -399", "Add 394 to both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 394 = 7(x - 57)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 57, \"e\": -394, \"x\": -1}", "seed": "3718842482505768171", "semantic_fingerprint": "sha256:e8a2e23d565c3d2500036345f49f443a42db900a0ba5b89f873208488f3461ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004866", "prompt": "What is 34 / (95 * (-6 + 4))?", "solution_steps": ["Add: -6 + 4 = -2", "Multiply: 95 * (-2) = -190", "Divide: 34 / (-190) = -17/95"], "final_answer": "-17/95", "answer_type": "rational", "kind": "expression", "math_text": "34 / (95 * (-6 + 4))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 95, \"c\": -6, \"d\": 4}", "seed": "4771481195722155520", "semantic_fingerprint": "sha256:4e12b4d1cb284b9728d7cd5d9f67e00c9f22d6314180497fe6da3b678bf74cda", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004867", "prompt": "Calculate: (-56 - 85 - 109) * 6", "solution_steps": ["Subtract: -56 - 85 = -141", "Subtract: -141 - 109 = -250", "Multiply: -250 * 6 = -1500"], "final_answer": "-1500", "answer_type": "integer", "kind": "expression", "math_text": "(-56 - 85 - 109) * 6", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 85, \"c\": 109, \"d\": 6}", "seed": "16229614993307489679", "semantic_fingerprint": "sha256:0b1443067bdcf641d32621262d206e6d550e119d26dfce4a06712a0dec81d459", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004868", "prompt": "What is 465 + (63 + (-512)) / (-711) + 4 * 27?", "solution_steps": ["Add: 63 + (-512) = -449", "Divide: -449 / (-711) = 449/711", "Add: 465 + 449/711 = 331064/711", "Multiply: 4 * 27 = 108", "Add: 331064/711 + 108 = 407852/711"], "final_answer": "407852/711", "answer_type": "rational", "kind": "expression", "math_text": "465 + (63 + (-512)) / (-711) + 4 * 27", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 465, \"b\": 63, \"c\": -512, \"d\": -711, \"e\": 4, \"f\": 27}", "seed": "15341858308928376161", "semantic_fingerprint": "sha256:5165e1479b85e617eb161dcaffb7542f2f633eff5f5de953d0b2225a983f788e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004869", "prompt": "Find x: 6(x + 119) + 2 = x + 8", "solution_steps": ["Expand: 6x + 714 + 2 = x + 8", "Combine constants: 6x + 716 = x + 8", "Subtract x from both sides: 5x + 716 = 8", "Subtract 716 from both sides: 5x = -708", "Divide both sides by 5: x = -708/5"], "final_answer": "-708/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 119) + 2 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 119, \"c\": 2, \"d\": 8}", "seed": "11238142312488067326", "semantic_fingerprint": "sha256:28d33471c4f64cf3d6210dd98fd88a006dfc8f7855ba3f546728469a754cf4f0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004870", "prompt": "Compute: -648 + 58 + 2 - (-9) + (-7)", "solution_steps": ["Add: -648 + 58 = -590", "Add: -590 + 2 = -588", "Subtract: -588 - (-9) = -579", "Add: -579 + (-7) = -586"], "final_answer": "-586", "answer_type": "integer", "kind": "expression", "math_text": "-648 + 58 + 2 - (-9) + (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -648, \"b\": 58, \"c\": 2, \"d\": -9, \"e\": -7}", "seed": "1278328993056827925", "semantic_fingerprint": "sha256:9513379c4894a18e83b40f9980c6c5422047480f27f0b7f7642f312430b7dd91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004871", "prompt": "Calculate: (79 - (-37) + (99 - 177)) * (88 / 6)", "solution_steps": ["Subtract: 79 - (-37) = 116", "Subtract: 99 - 177 = -78", "Add: 116 + (-78) = 38", "Divide: 88 / 6 = 44/3", "Multiply: 38 * (44/3) = 1672/3"], "final_answer": "1672/3", "answer_type": "rational", "kind": "expression", "math_text": "(79 - (-37) + (99 - 177)) * (88 / 6)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -37, \"c\": 99, \"d\": 177, \"e\": 88, \"f\": 6}", "seed": "10814467202564408334", "semantic_fingerprint": "sha256:6b4210e3677a85c68d24afebbc6169b8a39adb819aac55f4ac4a315f5bb79967", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004872", "prompt": "What is 875 * (1 * (-7)) * ((29 + (-31)) * 51)?", "solution_steps": ["Multiply: 1 * (-7) = -7", "Multiply: 875 * (-7) = -6125", "Add: 29 + (-31) = -2", "Multiply: -2 * 51 = -102", "Multiply: -6125 * (-102) = 624750"], "final_answer": "624750", "answer_type": "integer", "kind": "expression", "math_text": "875 * (1 * (-7)) * ((29 + (-31)) * 51)", "variable": null, "family": "expression_5op", "shape": "(* (* n (* n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 875, \"b\": 1, \"c\": -7, \"d\": 29, \"e\": -31, \"f\": 51}", "seed": "3226047740908527954", "semantic_fingerprint": "sha256:c119107d115d6a9463cbcf4e24731575e29bdfaa543c942f14307f9fe92e145f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004873", "prompt": "Solve for x: 10x = -8(x + 72) + 576", "solution_steps": ["Expand: 10x = -8x - 576 + 576", "Combine constants: 10x = -8x", "Add 8x to both sides: 18x = 0", "Divide both sides by 18: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -8(x + 72) + 576", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -8, \"c\": 72, \"e\": 576, \"x\": 0}", "seed": "13421489943740349396", "semantic_fingerprint": "sha256:8a1ac226a86390dcadbf9dded15cb0dbe5e6c56c1ed2a9d3e1d34c1bcb7a5185", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004874", "prompt": "What is (-2 - 7 / 6) * (-457 / 94)?", "solution_steps": ["Divide: 7 / 6 = 7/6", "Subtract: -2 - 7/6 = -19/6", "Divide: -457 / 94 = -457/94", "Multiply: (-19/6) * (-457/94) = 8683/564"], "final_answer": "8683/564", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - 7 / 6) * (-457 / 94)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 6, \"d\": -457, \"e\": 94}", "seed": "13070678024973579885", "semantic_fingerprint": "sha256:652c09537ccaf0460d309729aa4929296e166a8d93156261261370bd49a9c3c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004875", "prompt": "Calculate: -37 - (-145) + 217 / (-56 - 49)", "solution_steps": ["Subtract: -37 - (-145) = 108", "Subtract: -56 - 49 = -105", "Divide: 217 / (-105) = -31/15", "Add: 108 + (-31/15) = 1589/15"], "final_answer": "1589/15", "answer_type": "rational", "kind": "expression", "math_text": "-37 - (-145) + 217 / (-56 - 49)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -145, \"c\": 217, \"d\": -56, \"e\": 49}", "seed": "7237023959051552210", "semantic_fingerprint": "sha256:12e3f7011680280c6d836077fefb75532cc675c9123b249c5f475f3af0c86418", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004876", "prompt": "Evaluate: -40 - 725 * 94 + (6 + (-663)) * (-501)", "solution_steps": ["Multiply: 725 * 94 = 68150", "Subtract: -40 - 68150 = -68190", "Add: 6 + (-663) = -657", "Multiply: -657 * (-501) = 329157", "Add: -68190 + 329157 = 260967"], "final_answer": "260967", "answer_type": "integer", "kind": "expression", "math_text": "-40 - 725 * 94 + (6 + (-663)) * (-501)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 725, \"c\": 94, \"d\": 6, \"e\": -663, \"f\": -501}", "seed": "11963390508514405708", "semantic_fingerprint": "sha256:4b859bf8add7b06861f5068db5e4e9b6bf4f2bd137665038974247dbd1949288", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004877", "prompt": "Evaluate: 124 / (-92) + (-626 - (-35 - (-3)))", "solution_steps": ["Divide: 124 / (-92) = -31/23", "Subtract: -35 - (-3) = -32", "Subtract: -626 - (-32) = -594", "Add: -31/23 + (-594) = -13693/23"], "final_answer": "-13693/23", "answer_type": "rational", "kind": "expression", "math_text": "124 / (-92) + (-626 - (-35 - (-3)))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 124, \"b\": -92, \"c\": -626, \"d\": -35, \"e\": -3}", "seed": "9677967200963714439", "semantic_fingerprint": "sha256:4fa7b1cf0906ab261a0cdd2dfd66e455afba7f922d3ea5e52c8f73d0c83acbca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004878", "prompt": "Evaluate: (3 / 6 - (-94)) * 60", "solution_steps": ["Divide: 3 / 6 = 1/2", "Subtract: 1/2 - (-94) = 189/2", "Multiply: (189/2) * 60 = 5670"], "final_answer": "5670", "answer_type": "integer", "kind": "expression", "math_text": "(3 / 6 - (-94)) * 60", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": -94, \"d\": 60}", "seed": "7966742294748208844", "semantic_fingerprint": "sha256:7ebb99eba2fc82f340b32b7e163ff808558284b4b7a11032e2f041bf156443b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004879", "prompt": "Find x: -11(x + 3) = 12(x - 57) + 82", "solution_steps": ["Expand: -11x - 33 = 12(x - 57) + 82", "Expand: -11x - 33 = 12x - 684 + 82", "Combine constants: -11x - 33 = 12x - 602", "Subtract 12x from both sides: -23x - 33 = -602", "Add 33 to both sides: -23x = -569", "Divide both sides by -23: x = 569/23"], "final_answer": "569/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 3) = 12(x - 57) + 82", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3, \"c\": 12, \"d\": 57, \"e\": 82}", "seed": "6375035581902327631", "semantic_fingerprint": "sha256:e0912206a98e2756eee8dc869e233bd717b481d11f83d1d60d02e9401436391a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004880", "prompt": "Solve for x: 9x = 4(x + 35) - 175", "solution_steps": ["Expand: 9x = 4x + 140 - 175", "Combine constants: 9x = 4x - 35", "Subtract 4x from both sides: 5x = -35", "Divide both sides by 5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 4(x + 35) - 175", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 35, \"e\": -175, \"x\": -7}", "seed": "12496917778751579166", "semantic_fingerprint": "sha256:09c15b5a5a850aca829639a9a38579f361fc8ee033c2cac3e459e9c2bad87ea8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004881", "prompt": "What is -48 + 728 / (-792) * (824 / 1)?", "solution_steps": ["Divide: 728 / (-792) = -91/99", "Divide: 824 / 1 = 824", "Multiply: (-91/99) * 824 = -74984/99", "Add: -48 + (-74984/99) = -79736/99"], "final_answer": "-79736/99", "answer_type": "rational", "kind": "expression", "math_text": "-48 + 728 / (-792) * (824 / 1)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 728, \"c\": -792, \"d\": 824, \"e\": 1}", "seed": "13465024832268999437", "semantic_fingerprint": "sha256:dd5afacdc10dfe1010fec48b9c46febe53af954a7bd9ee5a26339e95c5f96cd6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004882", "prompt": "What is -88 / (4 / (-641)) + 92?", "solution_steps": ["Divide: 4 / (-641) = -4/641", "Divide: -88 / (-4/641) = 14102", "Add: 14102 + 92 = 14194"], "final_answer": "14194", "answer_type": "integer", "kind": "expression", "math_text": "-88 / (4 / (-641)) + 92", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 4, \"c\": -641, \"d\": 92}", "seed": "2363769670889504231", "semantic_fingerprint": "sha256:3daf5c9a395402f5f9576dc530fcf8965ceb17ed9608dbefb4664840e4b90165", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004883", "prompt": "Compute: -93 / 9 / 192 - (-1)", "solution_steps": ["Divide: -93 / 9 = -31/3", "Divide: (-31/3) / 192 = -31/576", "Subtract: -31/576 - (-1) = 545/576"], "final_answer": "545/576", "answer_type": "rational", "kind": "expression", "math_text": "-93 / 9 / 192 - (-1)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 9, \"c\": 192, \"d\": -1}", "seed": "2794677829113941080", "semantic_fingerprint": "sha256:bb83db0d0e21be0d19671ef308a1ac2d3cd2bcc7cef5e7cd51907b0b1f824e9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004884", "prompt": "Solve for x: 11(x + 2) + 58 = x + 646", "solution_steps": ["Expand: 11x + 22 + 58 = x + 646", "Combine constants: 11x + 80 = x + 646", "Subtract x from both sides: 10x + 80 = 646", "Subtract 80 from both sides: 10x = 566", "Divide both sides by 10: x = 283/5"], "final_answer": "283/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 2) + 58 = x + 646", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 58, \"d\": 646}", "seed": "11635868513069504936", "semantic_fingerprint": "sha256:0ba6a7186d4f37d7db776a26359e44cbd51aeb579e5e732521a5e562e4ba8a36", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004885", "prompt": "Calculate: (0 + 5) / (-282 + (-707))", "solution_steps": ["Add: 0 + 5 = 5", "Add: -282 + (-707) = -989", "Divide: 5 / (-989) = -5/989"], "final_answer": "-5/989", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 5) / (-282 + (-707))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": -282, \"d\": -707}", "seed": "4310509464034989477", "semantic_fingerprint": "sha256:2dfc25fd368dadaebf0b8255bde112455bb4c228e97582cf26dcf293bca7d790", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004886", "prompt": "Calculate: 6 - (229 + (-4) * 77) / (-848)", "solution_steps": ["Multiply: -4 * 77 = -308", "Add: 229 + (-308) = -79", "Divide: -79 / (-848) = 79/848", "Subtract: 6 - 79/848 = 5009/848"], "final_answer": "5009/848", "answer_type": "rational", "kind": "expression", "math_text": "6 - (229 + (-4) * 77) / (-848)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 229, \"c\": -4, \"d\": 77, \"e\": -848}", "seed": "11690589772692528844", "semantic_fingerprint": "sha256:d78fbe56cdd13ebf0823f2903c674ada954f8255be26690c97db52e2160078be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004887", "prompt": "Evaluate: 477 - 20 / 5 - (-480)", "solution_steps": ["Divide: 20 / 5 = 4", "Subtract: 477 - 4 = 473", "Subtract: 473 - (-480) = 953"], "final_answer": "953", "answer_type": "integer", "kind": "expression", "math_text": "477 - 20 / 5 - (-480)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 477, \"b\": 20, \"c\": 5, \"d\": -480}", "seed": "8942975241908596187", "semantic_fingerprint": "sha256:dcc012aca9448b56700c6c87cf5d83d9c8fc587327abd9c571b21e7546ee6db8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004888", "prompt": "What is -16 + (-32 - (-4 + 5))?", "solution_steps": ["Add: -4 + 5 = 1", "Subtract: -32 - 1 = -33", "Add: -16 + (-33) = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "expression", "math_text": "-16 + (-32 - (-4 + 5))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -32, \"c\": -4, \"d\": 5}", "seed": "9308175067865254401", "semantic_fingerprint": "sha256:d2c314492e61ab32e644647afe2885b8a04f527fe5ff7f9a98cae153c5c96986", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004889", "prompt": "Solve for x: -10x = -4(x + 132) + 432", "solution_steps": ["Expand: -10x = -4x - 528 + 432", "Combine constants: -10x = -4x - 96", "Add 4x to both sides: -6x = -96", "Divide both sides by -6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = -4(x + 132) + 432", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -4, \"c\": 132, \"e\": 432, \"x\": 16}", "seed": "5857536275160408249", "semantic_fingerprint": "sha256:9c54eca046e20a01bc74fca15309cf814006e562512b6ea0397e3768f9ea0f70", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004890", "prompt": "What is (-4 + (79 + (-9))) / (-442 - (-33 - (-8)))?", "solution_steps": ["Add: 79 + (-9) = 70", "Add: -4 + 70 = 66", "Subtract: -33 - (-8) = -25", "Subtract: -442 - (-25) = -417", "Divide: 66 / (-417) = -22/139"], "final_answer": "-22/139", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + (79 + (-9))) / (-442 - (-33 - (-8)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 79, \"c\": -9, \"d\": -442, \"e\": -33, \"f\": -8}", "seed": "13740338409491610506", "semantic_fingerprint": "sha256:5a98b0f6c53c9017e00f0ff43859a4b3fd9c7a90afe353455293bbbf6d3fb86d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004891", "prompt": "Compute: -63 * (-52 * 0) + (-329)", "solution_steps": ["Multiply: -52 * 0 = 0", "Multiply: -63 * 0 = 0", "Add: 0 + (-329) = -329"], "final_answer": "-329", "answer_type": "integer", "kind": "expression", "math_text": "-63 * (-52 * 0) + (-329)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -52, \"c\": 0, \"d\": -329}", "seed": "9915113437221205133", "semantic_fingerprint": "sha256:002f20730c47fd225163b8482a32425ebb2d9c79f4b47e59863e83cb7662b494", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004892", "prompt": "Solve for x: -4(x + 7) + 98 = x + 110", "solution_steps": ["Expand: -4x - 28 + 98 = x + 110", "Combine constants: -4x + 70 = x + 110", "Subtract x from both sides: -5x + 70 = 110", "Subtract 70 from both sides: -5x = 40", "Divide both sides by -5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 7) + 98 = x + 110", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 98, \"e\": 110, \"x\": -8}", "seed": "13459126097894610645", "semantic_fingerprint": "sha256:9902097c68ab0b3be73f644f77fbafe612a76b028e692033c50c251872ba555b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004893", "prompt": "Compute: 22 + 2 * (-2) + 9 - 3", "solution_steps": ["Multiply: 2 * (-2) = -4", "Add: 22 + (-4) = 18", "Add: 18 + 9 = 27", "Subtract: 27 - 3 = 24"], "final_answer": "24", "answer_type": "integer", "kind": "expression", "math_text": "22 + 2 * (-2) + 9 - 3", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 2, \"c\": -2, \"d\": 9, \"e\": 3}", "seed": "695115113660427196", "semantic_fingerprint": "sha256:f24c128bc64c2c535533314bdaa1180fb95e809c5db33ef0e9b4a5f394b1b7d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004894", "prompt": "Find x: 5x - 6 = 4x - 14", "solution_steps": ["Subtract 4x from both sides: x - 6 = -14", "Add 6 to both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 6 = 4x - 14", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 4, \"e\": -14, \"x\": -8}", "seed": "9567877645372041412", "semantic_fingerprint": "sha256:258d151f9d6697ecfa7f5a63e00cb7ee6ecdca968b64425a7d93ec325c61bd6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004895", "prompt": "Calculate: -9 * (-3 * 349) + 5", "solution_steps": ["Multiply: -3 * 349 = -1047", "Multiply: -9 * (-1047) = 9423", "Add: 9423 + 5 = 9428"], "final_answer": "9428", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-3 * 349) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": 349, \"d\": 5}", "seed": "9220107489123977616", "semantic_fingerprint": "sha256:ff01eaf0c7226fe9e2fe955fe3c175c9385da9963c683533af5e5be78a08c884", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004896", "prompt": "Calculate: 645 * (-971 * 1) + 62", "solution_steps": ["Multiply: -971 * 1 = -971", "Multiply: 645 * (-971) = -626295", "Add: -626295 + 62 = -626233"], "final_answer": "-626233", "answer_type": "integer", "kind": "expression", "math_text": "645 * (-971 * 1) + 62", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 645, \"b\": -971, \"c\": 1, \"d\": 62}", "seed": "11574778949253509273", "semantic_fingerprint": "sha256:db6371c3371a014a28639b21bb50bad425c649e22bde49196efb0e1f00374776", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004897", "prompt": "Compute: -94 + (45 - (-6)) + (-48) * (2 + 99)", "solution_steps": ["Subtract: 45 - (-6) = 51", "Add: -94 + 51 = -43", "Add: 2 + 99 = 101", "Multiply: -48 * 101 = -4848", "Add: -43 + (-4848) = -4891"], "final_answer": "-4891", "answer_type": "integer", "kind": "expression", "math_text": "-94 + (45 - (-6)) + (-48) * (2 + 99)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n n)) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 45, \"c\": -6, \"d\": -48, \"e\": 2, \"f\": 99}", "seed": "12415965980468138270", "semantic_fingerprint": "sha256:47ce772f013b092395766175a382a3621c429f6e6b39844b07544d7dc65e2703", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004898", "prompt": "Find x: 7(x + 8) = -11(x - 1) + 207", "solution_steps": ["Expand: 7x + 56 = -11(x - 1) + 207", "Expand: 7x + 56 = -11x + 11 + 207", "Combine constants: 7x + 56 = -11x + 218", "Add 11x to both sides: 18x + 56 = 218", "Subtract 56 from both sides: 18x = 162", "Divide both sides by 18: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 8) = -11(x - 1) + 207", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": -11, \"d\": 1, \"f\": 207, \"x\": 9}", "seed": "5095290303104736356", "semantic_fingerprint": "sha256:c10b73668e43577ff06a82a0c0fda0a2d462b7c73748720880073a71214039a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004899", "prompt": "Solve the equation 10x - 99 = -12x - 120 for x.", "solution_steps": ["Add 12x to both sides: 22x - 99 = -120", "Add 99 to both sides: 22x = -21", "Divide both sides by 22: x = -21/22"], "final_answer": "-21/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 99 = -12x - 120", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 99, \"c\": -12, \"d\": 120}", "seed": "2911986621133273110", "semantic_fingerprint": "sha256:9eafe0e451b17932edc3754230d5de4fcc54602b500fc4b5103c8e0f4bb8cccb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004900", "prompt": "Calculate: -37 + (66 + (-81)) - (75 - 6)", "solution_steps": ["Add: 66 + (-81) = -15", "Add: -37 + (-15) = -52", "Subtract: 75 - 6 = 69", "Subtract: -52 - 69 = -121"], "final_answer": "-121", "answer_type": "integer", "kind": "expression", "math_text": "-37 + (66 + (-81)) - (75 - 6)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 66, \"c\": -81, \"d\": 75, \"e\": 6}", "seed": "3602937013357408180", "semantic_fingerprint": "sha256:bf30908494e70a6e799ab4871d6ba652a7476c5c162a07b222b254906c3884ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004901", "prompt": "Evaluate: -25 - (-22) / (-46) - 259", "solution_steps": ["Divide: -22 / (-46) = 11/23", "Subtract: -25 - 11/23 = -586/23", "Subtract: -586/23 - 259 = -6543/23"], "final_answer": "-6543/23", "answer_type": "rational", "kind": "expression", "math_text": "-25 - (-22) / (-46) - 259", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -22, \"c\": -46, \"d\": 259}", "seed": "3401169888947247569", "semantic_fingerprint": "sha256:ad20271ecd99b31d9810e63eab3de2e563f50fc5ba3ad2ee7a94f4c15edef3db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004902", "prompt": "Solve for x: -9(x - 7) + 15 = 8(x + 14)", "solution_steps": ["Expand: -9x + 63 + 15 = 8(x + 14)", "Expand: -9x + 63 + 15 = 8x + 112", "Combine constants: -9x + 78 = 8x + 112", "Subtract 8x from both sides: -17x + 78 = 112", "Subtract 78 from both sides: -17x = 34", "Divide both sides by -17: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 7) + 15 = 8(x + 14)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 8, \"d\": 14, \"f\": 15, \"x\": -2}", "seed": "2366534431031036810", "semantic_fingerprint": "sha256:4d78faefdf4d042f96cb9a46de20f587ab08bb3ec6bae963888d5fc1cefc2ac2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004903", "prompt": "Solve the equation 4x - 9 = 5x - 5 for x.", "solution_steps": ["Subtract 5x from both sides: -x - 9 = -5", "Add 9 to both sides: -x = 4", "Divide both sides by -1: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 9 = 5x - 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 5, \"e\": -5, \"x\": -4}", "seed": "323353694814228263", "semantic_fingerprint": "sha256:f6f027d6a8aeaa9fea71aba74461a50f43c6d3577bc641ce3991dc65483e5885", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004904", "prompt": "What value of x satisfies 9x = 8(x + 1) - 5?", "solution_steps": ["Expand: 9x = 8x + 8 - 5", "Combine constants: 9x = 8x + 3", "Subtract 8x from both sides: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8(x + 1) - 5", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 1, \"d\": 5}", "seed": "13252163962248049254", "semantic_fingerprint": "sha256:829f9245bac2a66a46e80d2ceeb6b3fb9e4f0dfec709e95eb42f1403e180d62c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004905", "prompt": "What is (-6 + (-70 + 0)) / (-23) + (-51)?", "solution_steps": ["Add: -70 + 0 = -70", "Add: -6 + (-70) = -76", "Divide: -76 / (-23) = 76/23", "Add: 76/23 + (-51) = -1097/23"], "final_answer": "-1097/23", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-70 + 0)) / (-23) + (-51)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -70, \"c\": 0, \"d\": -23, \"e\": -51}", "seed": "3989011594916144805", "semantic_fingerprint": "sha256:b0d93ce3bd45bf01df237200f86d47e7ab1c834ad4000b7657998db591e55f37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004906", "prompt": "Find x: 6x = -8(x + 853) + 1", "solution_steps": ["Expand: 6x = -8x - 6824 + 1", "Combine constants: 6x = -8x - 6823", "Add 8x to both sides: 14x = -6823", "Divide both sides by 14: x = -6823/14"], "final_answer": "-6823/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = -8(x + 853) + 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -8, \"c\": 853, \"d\": 1}", "seed": "13753598575863585558", "semantic_fingerprint": "sha256:d03741c2ea949f3740f67773e171da76ff0ae8ef1dd0eff89eabff3e5be26f21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004907", "prompt": "What is 52 - (8 + (-44)) * 4 - 2?", "solution_steps": ["Add: 8 + (-44) = -36", "Multiply: -36 * 4 = -144", "Subtract: 52 - (-144) = 196", "Subtract: 196 - 2 = 194"], "final_answer": "194", "answer_type": "integer", "kind": "expression", "math_text": "52 - (8 + (-44)) * 4 - 2", "variable": null, "family": "expression_4op", "shape": "(- (- n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 8, \"c\": -44, \"d\": 4, \"e\": 2}", "seed": "5984710659548649541", "semantic_fingerprint": "sha256:ec87b3b805b81a84ebcfeefaa36ce55ad05834d6a86edd9f162ac2e85d3613bb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004908", "prompt": "Solve for x: -11(x + 62) - 2 = x + 9", "solution_steps": ["Expand: -11x - 682 - 2 = x + 9", "Combine constants: -11x - 684 = x + 9", "Subtract x from both sides: -12x - 684 = 9", "Add 684 to both sides: -12x = 693", "Divide both sides by -12: x = -231/4"], "final_answer": "-231/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 62) - 2 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 62, \"c\": 2, \"d\": 9}", "seed": "1495054807361850267", "semantic_fingerprint": "sha256:580ea25d3f28bebc650aa58caa7fc29fe597f875e2afdf504b459b7ecf0fc194", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004909", "prompt": "What is (20 - (-2 + 44)) * 131?", "solution_steps": ["Add: -2 + 44 = 42", "Subtract: 20 - 42 = -22", "Multiply: -22 * 131 = -2882"], "final_answer": "-2882", "answer_type": "integer", "kind": "expression", "math_text": "(20 - (-2 + 44)) * 131", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -2, \"c\": 44, \"d\": 131}", "seed": "14819799993942963768", "semantic_fingerprint": "sha256:f15220259c402b09ea17ce5f9a7e3502ddcf647729f4bd3ec4a3d9a9e25e6785", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004910", "prompt": "Calculate: -591 - (-42) / (95 * (-462) / 51) + (-35)", "solution_steps": ["Multiply: 95 * (-462) = -43890", "Divide: -43890 / 51 = -14630/17", "Divide: -42 / (-14630/17) = 51/1045", "Subtract: -591 - 51/1045 = -617646/1045", "Add: -617646/1045 + (-35) = -654221/1045"], "final_answer": "-654221/1045", "answer_type": "rational", "kind": "expression", "math_text": "-591 - (-42) / (95 * (-462) / 51) + (-35)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ n (/ (* n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -591, \"b\": -42, \"c\": 95, \"d\": -462, \"e\": 51, \"f\": -35}", "seed": "7715275183178120747", "semantic_fingerprint": "sha256:f99eafc855afb9a46f23fba6834fcb176d2dfd84d5553ea11202c8a80917fdfc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004911", "prompt": "Solve the equation 10x - 134 = 3(x - 5) for x.", "solution_steps": ["Expand: 10x - 134 = 3x - 15", "Subtract 3x from both sides: 7x - 134 = -15", "Add 134 to both sides: 7x = 119", "Divide both sides by 7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 134 = 3(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 5, \"e\": -134, \"x\": 17}", "seed": "14283899269525772583", "semantic_fingerprint": "sha256:1f3ad2876f3ae9eeb731a8a1556140ef0548110c8231394b7c550fbcc939d592", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004912", "prompt": "Solve for x: -7(x + 4) = 6(x - 69) + 95", "solution_steps": ["Expand: -7x - 28 = 6(x - 69) + 95", "Expand: -7x - 28 = 6x - 414 + 95", "Combine constants: -7x - 28 = 6x - 319", "Subtract 6x from both sides: -13x - 28 = -319", "Add 28 to both sides: -13x = -291", "Divide both sides by -13: x = 291/13"], "final_answer": "291/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 4) = 6(x - 69) + 95", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 6, \"d\": 69, \"e\": 95}", "seed": "17522369460581289881", "semantic_fingerprint": "sha256:7e431b1db7a00f8feebf8361e0b66c481150ee7518afb7c94667614be376ec2b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004913", "prompt": "Find x: -6x = 4(x + 31) + 66", "solution_steps": ["Expand: -6x = 4x + 124 + 66", "Combine constants: -6x = 4x + 190", "Subtract 4x from both sides: -10x = 190", "Divide both sides by -10: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 4(x + 31) + 66", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 31, \"e\": 66, \"x\": -19}", "seed": "11990610950920518513", "semantic_fingerprint": "sha256:1cd98921700554865bb196ef33e1fb91de3fdba5349728f73017b24cba3a80df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004914", "prompt": "Solve for x: 5(x + 801) + 1 = x + 18", "solution_steps": ["Expand: 5x + 4005 + 1 = x + 18", "Combine constants: 5x + 4006 = x + 18", "Subtract x from both sides: 4x + 4006 = 18", "Subtract 4006 from both sides: 4x = -3988", "Divide both sides by 4: x = -997"], "final_answer": "-997", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 801) + 1 = x + 18", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 801, \"c\": 1, \"d\": 18}", "seed": "13537234173260517536", "semantic_fingerprint": "sha256:7da49068611af1071ea4de6bb91fd71cb23ce0fdb40e9f50525e4d91cf1d0baf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004915", "prompt": "Solve the equation 6x - 146 = 8(x - 20) for x.", "solution_steps": ["Expand: 6x - 146 = 8x - 160", "Subtract 8x from both sides: -2x - 146 = -160", "Add 146 to both sides: -2x = -14", "Divide both sides by -2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 146 = 8(x - 20)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 20, \"e\": -146, \"x\": 7}", "seed": "14178777130241449763", "semantic_fingerprint": "sha256:0c45dcfb1c7d7f21a37b645c9c0d5d18f8b31772f827bf2fbefcacdc4a6e1189", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004916", "prompt": "What value of x satisfies 2(x + 71) + 54 = x + 187?", "solution_steps": ["Expand: 2x + 142 + 54 = x + 187", "Combine constants: 2x + 196 = x + 187", "Subtract x from both sides: x + 196 = 187", "Subtract 196 from both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 71) + 54 = x + 187", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 71, \"c\": 54, \"e\": 187, \"x\": -9}", "seed": "13931493294409478627", "semantic_fingerprint": "sha256:9fc23e52e601d416a01fe76e99905c42915a5a163dc7fa70fddd088e85e57071", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004917", "prompt": "Find x: -4x - 784 = 10(x - 98)", "solution_steps": ["Expand: -4x - 784 = 10x - 980", "Subtract 10x from both sides: -14x - 784 = -980", "Add 784 to both sides: -14x = -196", "Divide both sides by -14: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 784 = 10(x - 98)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 10, \"c\": 98, \"e\": -784, \"x\": 14}", "seed": "2252612523415192695", "semantic_fingerprint": "sha256:9e208065403ecedcde05e9198eb0333651ad274633b0ade6237f49ced5cb98e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004918", "prompt": "Calculate: 753 / (6 * (-266 + (-102)))", "solution_steps": ["Add: -266 + (-102) = -368", "Multiply: 6 * (-368) = -2208", "Divide: 753 / (-2208) = -251/736"], "final_answer": "-251/736", "answer_type": "rational", "kind": "expression", "math_text": "753 / (6 * (-266 + (-102)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 753, \"b\": 6, \"c\": -266, \"d\": -102}", "seed": "6310932372098465194", "semantic_fingerprint": "sha256:feb5ad3c3d0966b9a23af47bb4f657630308f2420acb4e318a7a73dff91c7477", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004919", "prompt": "What is (2 * (-2) - (-446) - 62) / (-21)?", "solution_steps": ["Multiply: 2 * (-2) = -4", "Subtract: -4 - (-446) = 442", "Subtract: 442 - 62 = 380", "Divide: 380 / (-21) = -380/21"], "final_answer": "-380/21", "answer_type": "rational", "kind": "expression", "math_text": "(2 * (-2) - (-446) - 62) / (-21)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -2, \"c\": -446, \"d\": 62, \"e\": -21}", "seed": "6056185870923650339", "semantic_fingerprint": "sha256:5c32ef0c271a1c831796a2810c0b2ef0765b3ccd8d50e0ac84e5b56b16f313d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004920", "prompt": "Evaluate: -800 * (-29) + (-55 - 43)", "solution_steps": ["Multiply: -800 * (-29) = 23200", "Subtract: -55 - 43 = -98", "Add: 23200 + (-98) = 23102"], "final_answer": "23102", "answer_type": "integer", "kind": "expression", "math_text": "-800 * (-29) + (-55 - 43)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -800, \"b\": -29, \"c\": -55, \"d\": 43}", "seed": "17519419248068923049", "semantic_fingerprint": "sha256:eac3d57fa4436ecf13ae3deb4aa7908e58ac0dd4e8ab18c6a2c1f8e4c1d3b070", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004921", "prompt": "Solve the equation 7(x - 5) - 4 = x + 81 for x.", "solution_steps": ["Expand: 7x - 35 - 4 = x + 81", "Combine constants: 7x - 39 = x + 81", "Subtract x from both sides: 6x - 39 = 81", "Add 39 to both sides: 6x = 120", "Divide both sides by 6: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) - 4 = x + 81", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 4, \"e\": 81, \"x\": 20}", "seed": "11592391341947339724", "semantic_fingerprint": "sha256:df7dadc1fa60f605400495ad78fb3e41f89139df775eb0d739279b5bedf5e351", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004922", "prompt": "Solve the equation 10(x + 26) = 7(x - 60) + 653 for x.", "solution_steps": ["Expand: 10x + 260 = 7(x - 60) + 653", "Expand: 10x + 260 = 7x - 420 + 653", "Combine constants: 10x + 260 = 7x + 233", "Subtract 7x from both sides: 3x + 260 = 233", "Subtract 260 from both sides: 3x = -27", "Divide both sides by 3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 26) = 7(x - 60) + 653", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 26, \"c\": 7, \"d\": 60, \"f\": 653, \"x\": -9}", "seed": "368222248228639143", "semantic_fingerprint": "sha256:e211890e17cbbf216fd58af9b73a7eb4684e68077da524acc4471ea75f088534", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004923", "prompt": "Find x: -8x = 5(x + 5) - 33", "solution_steps": ["Expand: -8x = 5x + 25 - 33", "Combine constants: -8x = 5x - 8", "Subtract 5x from both sides: -13x = -8", "Divide both sides by -13: x = 8/13"], "final_answer": "8/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = 5(x + 5) - 33", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5, \"c\": 5, \"d\": 33}", "seed": "4734467937417265800", "semantic_fingerprint": "sha256:13dd6f4ab6b0c98fafd21fcd2c960030437cf93e4d15c7d6d8c3a394c813d2c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004924", "prompt": "Find x: 3x - 84 = -6(x - 3)", "solution_steps": ["Expand: 3x - 84 = -6x + 18", "Add 6x to both sides: 9x - 84 = 18", "Add 84 to both sides: 9x = 102", "Divide both sides by 9: x = 34/3"], "final_answer": "34/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 84 = -6(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 84, \"c\": -6, \"d\": 3}", "seed": "3445913136288122887", "semantic_fingerprint": "sha256:bbab405a47670baf65751e0a8a61005c3f4a8c7cdfd517d0d2e771d5e296f2aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004925", "prompt": "Evaluate: 18 * 564 + 2 * 318", "solution_steps": ["Multiply: 18 * 564 = 10152", "Multiply: 2 * 318 = 636", "Add: 10152 + 636 = 10788"], "final_answer": "10788", "answer_type": "integer", "kind": "expression", "math_text": "18 * 564 + 2 * 318", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 564, \"c\": 2, \"d\": 318}", "seed": "15407018229443318168", "semantic_fingerprint": "sha256:57e7692c7b8f7e9a8a9c61bc311589e14a679ff2981d858bdf40756181149f41", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004926", "prompt": "What is -97 * (94 + (-49 - 1) - (-5) / 7)?", "solution_steps": ["Subtract: -49 - 1 = -50", "Add: 94 + (-50) = 44", "Divide: -5 / 7 = -5/7", "Subtract: 44 - (-5/7) = 313/7", "Multiply: -97 * (313/7) = -30361/7"], "final_answer": "-30361/7", "answer_type": "rational", "kind": "expression", "math_text": "-97 * (94 + (-49 - 1) - (-5) / 7)", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n (- n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 94, \"c\": -49, \"d\": 1, \"e\": -5, \"f\": 7}", "seed": "16586756154129948121", "semantic_fingerprint": "sha256:b652737b5f0e09ee5959d8cbad7c3285aaf6058dcbb24bd5c6a9ddae255eda53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004927", "prompt": "Evaluate: (702 - 450 - (837 - 81) * 65) / (-28)", "solution_steps": ["Subtract: 702 - 450 = 252", "Subtract: 837 - 81 = 756", "Multiply: 756 * 65 = 49140", "Subtract: 252 - 49140 = -48888", "Divide: -48888 / (-28) = 1746"], "final_answer": "1746", "answer_type": "integer", "kind": "expression", "math_text": "(702 - 450 - (837 - 81) * 65) / (-28)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 702, \"b\": 450, \"c\": 837, \"d\": 81, \"e\": 65, \"f\": -28}", "seed": "8222857337123396253", "semantic_fingerprint": "sha256:eb47bcbeada18bc282e3cc63634d977b44496ac55b19ac631ddd5ce563d3dff7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004928", "prompt": "Evaluate: 37 * (4 * (-47)) + (-932)", "solution_steps": ["Multiply: 4 * (-47) = -188", "Multiply: 37 * (-188) = -6956", "Add: -6956 + (-932) = -7888"], "final_answer": "-7888", "answer_type": "integer", "kind": "expression", "math_text": "37 * (4 * (-47)) + (-932)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 4, \"c\": -47, \"d\": -932}", "seed": "13208601897720071388", "semantic_fingerprint": "sha256:14fe7e2ecf62e1253a07d9ea5bbe1806eba5435c6c5b683f577e1772becd5eb1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004929", "prompt": "What is (251 + 1) / (-39 - 5 / (-5))?", "solution_steps": ["Add: 251 + 1 = 252", "Divide: 5 / (-5) = -1", "Subtract: -39 - (-1) = -38", "Divide: 252 / (-38) = -126/19"], "final_answer": "-126/19", "answer_type": "rational", "kind": "expression", "math_text": "(251 + 1) / (-39 - 5 / (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 251, \"b\": 1, \"c\": -39, \"d\": 5, \"e\": -5}", "seed": "11496114220656565766", "semantic_fingerprint": "sha256:17adc92884201b2dff3d686955b68a513dad02bf8e07528fa84a1d4686760b23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004930", "prompt": "Compute: (638 - 422) / 4 * (-55 / 95)", "solution_steps": ["Subtract: 638 - 422 = 216", "Divide: 216 / 4 = 54", "Divide: -55 / 95 = -11/19", "Multiply: 54 * (-11/19) = -594/19"], "final_answer": "-594/19", "answer_type": "rational", "kind": "expression", "math_text": "(638 - 422) / 4 * (-55 / 95)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 638, \"b\": 422, \"c\": 4, \"d\": -55, \"e\": 95}", "seed": "11325070822344468239", "semantic_fingerprint": "sha256:b629d09a229f9f8ed6eb5877527aaa940f08fb49edfa87cfff1c660db39af150", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004931", "prompt": "Solve for x: 10x - 797 = 8x - 761", "solution_steps": ["Subtract 8x from both sides: 2x - 797 = -761", "Add 797 to both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 797 = 8x - 761", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 797, \"c\": 8, \"e\": -761, \"x\": 18}", "seed": "5449730426179892722", "semantic_fingerprint": "sha256:f330d222b9cdd87e4314871e97e26536f4cf51b7da6227930c1197dcc04f6a11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004932", "prompt": "What is -58 + (-3 / (-567) + (-78) + (-6))?", "solution_steps": ["Divide: -3 / (-567) = 1/189", "Add: 1/189 + (-78) = -14741/189", "Add: -14741/189 + (-6) = -15875/189", "Add: -58 + (-15875/189) = -26837/189"], "final_answer": "-26837/189", "answer_type": "rational", "kind": "expression", "math_text": "-58 + (-3 / (-567) + (-78) + (-6))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -3, \"c\": -567, \"d\": -78, \"e\": -6}", "seed": "2623359037929865104", "semantic_fingerprint": "sha256:d30c5239a8e83de9e8bcba0e73ffdd851154a3da0a0ecda1ed537e942dc7a5b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004933", "prompt": "Solve for x: 4x - 555 = 7(x - 72)", "solution_steps": ["Expand: 4x - 555 = 7x - 504", "Subtract 7x from both sides: -3x - 555 = -504", "Add 555 to both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 555 = 7(x - 72)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 72, \"e\": -555, \"x\": -17}", "seed": "3021111377609001576", "semantic_fingerprint": "sha256:f8e854ad0858eb300cccf8a8e9d4a1046b104d54f56a9b3f5cf35920e973e47d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004934", "prompt": "Solve for x: 4x - 220 = 12(x - 7)", "solution_steps": ["Expand: 4x - 220 = 12x - 84", "Subtract 12x from both sides: -8x - 220 = -84", "Add 220 to both sides: -8x = 136", "Divide both sides by -8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 220 = 12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"c\": 7, \"e\": -220, \"x\": -17}", "seed": "14203782134226838089", "semantic_fingerprint": "sha256:02b66ca4fd145825d159b22def618f07f20a64dddadb6a6b00cdb4b43f8b592a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004935", "prompt": "Evaluate: -65 * (-3) * (91 * 16 - (-144) - (-4))", "solution_steps": ["Multiply: -65 * (-3) = 195", "Multiply: 91 * 16 = 1456", "Subtract: 1456 - (-144) = 1600", "Subtract: 1600 - (-4) = 1604", "Multiply: 195 * 1604 = 312780"], "final_answer": "312780", "answer_type": "integer", "kind": "expression", "math_text": "-65 * (-3) * (91 * 16 - (-144) - (-4))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- (- (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -3, \"c\": 91, \"d\": 16, \"e\": -144, \"f\": -4}", "seed": "2315359899863522537", "semantic_fingerprint": "sha256:3622a0b959d6ddb80af91c983d8eb417e43bc193a6235eafb491814058625c5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004936", "prompt": "Compute: 87 - (58 + (-2 / (-23) + (-242)))", "solution_steps": ["Divide: -2 / (-23) = 2/23", "Add: 2/23 + (-242) = -5564/23", "Add: 58 + (-5564/23) = -4230/23", "Subtract: 87 - (-4230/23) = 6231/23"], "final_answer": "6231/23", "answer_type": "rational", "kind": "expression", "math_text": "87 - (58 + (-2 / (-23) + (-242)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 58, \"c\": -2, \"d\": -23, \"e\": -242}", "seed": "17634486170982255155", "semantic_fingerprint": "sha256:2788deb865cf0678c97564d4a828d741c1e063c0e6586d321897bc76b6450d98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004937", "prompt": "Solve for x: -4x = 6(x + 64) - 284", "solution_steps": ["Expand: -4x = 6x + 384 - 284", "Combine constants: -4x = 6x + 100", "Subtract 6x from both sides: -10x = 100", "Divide both sides by -10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 6(x + 64) - 284", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 64, \"e\": -284, \"x\": -10}", "seed": "15292510069011776056", "semantic_fingerprint": "sha256:cba4cdfc19cd488c87c68d0f54004d414245d87c79520319c33eeda7ec146ed1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004938", "prompt": "What is 904 / (-431) * (86 / (-5))?", "solution_steps": ["Divide: 904 / (-431) = -904/431", "Divide: 86 / (-5) = -86/5", "Multiply: (-904/431) * (-86/5) = 77744/2155"], "final_answer": "77744/2155", "answer_type": "rational", "kind": "expression", "math_text": "904 / (-431) * (86 / (-5))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 904, \"b\": -431, \"c\": 86, \"d\": -5}", "seed": "8330896204133479440", "semantic_fingerprint": "sha256:ebdf1dba39456247595a52a11b9763f717fc3a0b3224451a69407cf8fb10c06d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004939", "prompt": "Compute: 641 * (-7) - 308 * (22 / 4)", "solution_steps": ["Multiply: 641 * (-7) = -4487", "Divide: 22 / 4 = 11/2", "Multiply: 308 * (11/2) = 1694", "Subtract: -4487 - 1694 = -6181"], "final_answer": "-6181", "answer_type": "integer", "kind": "expression", "math_text": "641 * (-7) - 308 * (22 / 4)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 641, \"b\": -7, \"c\": 308, \"d\": 22, \"e\": 4}", "seed": "7141093320676203974", "semantic_fingerprint": "sha256:3ae526eb690b326cb93f2dbf4bfca3c5e05aee79b99b7240fa394241ab99f7c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004940", "prompt": "Find x: 5(x + 6) = -11(x - 1) + 147", "solution_steps": ["Expand: 5x + 30 = -11(x - 1) + 147", "Expand: 5x + 30 = -11x + 11 + 147", "Combine constants: 5x + 30 = -11x + 158", "Add 11x to both sides: 16x + 30 = 158", "Subtract 30 from both sides: 16x = 128", "Divide both sides by 16: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 6) = -11(x - 1) + 147", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": -11, \"d\": 1, \"f\": 147, \"x\": 8}", "seed": "11323877703024622719", "semantic_fingerprint": "sha256:5d56c5be7dc1f81ad5f3b1169bc6fa3e46442e32d46bcb85881d073cc9e97e1c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004941", "prompt": "Find x: 6x - 77 = 8x - 115", "solution_steps": ["Subtract 8x from both sides: -2x - 77 = -115", "Add 77 to both sides: -2x = -38", "Divide both sides by -2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 77 = 8x - 115", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 77, \"c\": 8, \"e\": -115, \"x\": 19}", "seed": "3518934268845763745", "semantic_fingerprint": "sha256:9b365fb0c19e482d708bf04deb85add2cb2a16a02fc6873c7a6b34f9b67e578e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004942", "prompt": "Evaluate: -74 / (653 - (-13)) + 880 / (730 + (-578))", "solution_steps": ["Subtract: 653 - (-13) = 666", "Divide: -74 / 666 = -1/9", "Add: 730 + (-578) = 152", "Divide: 880 / 152 = 110/19", "Add: -1/9 + 110/19 = 971/171"], "final_answer": "971/171", "answer_type": "rational", "kind": "expression", "math_text": "-74 / (653 - (-13)) + 880 / (730 + (-578))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 653, \"c\": -13, \"d\": 880, \"e\": 730, \"f\": -578}", "seed": "4653635982144617285", "semantic_fingerprint": "sha256:5d3c0275a1b9e1dafcd89d1084e8ea06496b1068635b5e03ea3d50c370e18985", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004943", "prompt": "Solve for x: 11(x + 70) = -3(x - 3) + 8", "solution_steps": ["Expand: 11x + 770 = -3(x - 3) + 8", "Expand: 11x + 770 = -3x + 9 + 8", "Combine constants: 11x + 770 = -3x + 17", "Add 3x to both sides: 14x + 770 = 17", "Subtract 770 from both sides: 14x = -753", "Divide both sides by 14: x = -753/14"], "final_answer": "-753/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 70) = -3(x - 3) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 70, \"c\": -3, \"d\": 3, \"e\": 8}", "seed": "15004483060471784268", "semantic_fingerprint": "sha256:65a58c77bf4a1575455af8a50432335190c62efd345dc758b9a405f8f49f9466", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004944", "prompt": "Compute: 5 / (-93) / (9 / (62 + (-377)))", "solution_steps": ["Divide: 5 / (-93) = -5/93", "Add: 62 + (-377) = -315", "Divide: 9 / (-315) = -1/35", "Divide: (-5/93) / (-1/35) = 175/93"], "final_answer": "175/93", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-93) / (9 / (62 + (-377)))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -93, \"c\": 9, \"d\": 62, \"e\": -377}", "seed": "3964707936340623820", "semantic_fingerprint": "sha256:33d9571c5571ef81e3e8acc80d99f82dc246c5532b9345cb0f6d423247489623", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004945", "prompt": "Find x: 2(x + 6) = -5(x - 39) + 145", "solution_steps": ["Expand: 2x + 12 = -5(x - 39) + 145", "Expand: 2x + 12 = -5x + 195 + 145", "Combine constants: 2x + 12 = -5x + 340", "Add 5x to both sides: 7x + 12 = 340", "Subtract 12 from both sides: 7x = 328", "Divide both sides by 7: x = 328/7"], "final_answer": "328/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 6) = -5(x - 39) + 145", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": -5, \"d\": 39, \"e\": 145}", "seed": "253638162905532299", "semantic_fingerprint": "sha256:e1ba63d0caa36b54c6e51aca0580b38cdfeec4fb40ab21e8b0a52904b794a5ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004946", "prompt": "What is 898 + (-676 + (9 - (-89 / 86 - (-2))))?", "solution_steps": ["Divide: -89 / 86 = -89/86", "Subtract: -89/86 - (-2) = 83/86", "Subtract: 9 - 83/86 = 691/86", "Add: -676 + 691/86 = -57445/86", "Add: 898 + (-57445/86) = 19783/86"], "final_answer": "19783/86", "answer_type": "rational", "kind": "expression", "math_text": "898 + (-676 + (9 - (-89 / 86 - (-2))))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (- n (- (/ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 898, \"b\": -676, \"c\": 9, \"d\": -89, \"e\": 86, \"f\": -2}", "seed": "4606997274125278946", "semantic_fingerprint": "sha256:c2c74357bedce86efa9f5951f28915b4283d44cd66780656753ba0d31b8ad171", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004947", "prompt": "Solve the equation 8x - 200 = -9(x - 8) for x.", "solution_steps": ["Expand: 8x - 200 = -9x + 72", "Add 9x to both sides: 17x - 200 = 72", "Add 200 to both sides: 17x = 272", "Divide both sides by 17: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 200 = -9(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -9, \"c\": 8, \"e\": -200, \"x\": 16}", "seed": "5124504418736815572", "semantic_fingerprint": "sha256:fdcc10185bc6ed0af2a9fad86be474a4692e02ff10b20bf213a30818a11ae4c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004948", "prompt": "Evaluate: (82 + (-63)) / (-782) + 7", "solution_steps": ["Add: 82 + (-63) = 19", "Divide: 19 / (-782) = -19/782", "Add: -19/782 + 7 = 5455/782"], "final_answer": "5455/782", "answer_type": "rational", "kind": "expression", "math_text": "(82 + (-63)) / (-782) + 7", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -63, \"c\": -782, \"d\": 7}", "seed": "8322429638993954315", "semantic_fingerprint": "sha256:9179bfc4498f22f77c1a50a8ade6e19d9e5cab4aa4ca826f9e22e0add07387ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004949", "prompt": "Solve the equation -10x = -9(x + 43) + 378 for x.", "solution_steps": ["Expand: -10x = -9x - 387 + 378", "Combine constants: -10x = -9x - 9", "Add 9x to both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = -9(x + 43) + 378", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -9, \"c\": 43, \"e\": 378, \"x\": 9}", "seed": "4018425882159794763", "semantic_fingerprint": "sha256:afa0a492abcd6692bb5ff78cca7c346cf4ee630c8c55b82d3caffdf369657b14", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004950", "prompt": "Solve for x: -4(x + 79) = 8(x - 8) + 182", "solution_steps": ["Expand: -4x - 316 = 8(x - 8) + 182", "Expand: -4x - 316 = 8x - 64 + 182", "Combine constants: -4x - 316 = 8x + 118", "Subtract 8x from both sides: -12x - 316 = 118", "Add 316 to both sides: -12x = 434", "Divide both sides by -12: x = -217/6"], "final_answer": "-217/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 79) = 8(x - 8) + 182", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 79, \"c\": 8, \"d\": 8, \"e\": 182}", "seed": "11398234271534568613", "semantic_fingerprint": "sha256:5680de2163ae234c3ca5b095a2153456839f2d448ec77c3a471532ee109aa4a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004951", "prompt": "Solve for x: 9(x + 9) + 56 = x + 81", "solution_steps": ["Expand: 9x + 81 + 56 = x + 81", "Combine constants: 9x + 137 = x + 81", "Subtract x from both sides: 8x + 137 = 81", "Subtract 137 from both sides: 8x = -56", "Divide both sides by 8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 9) + 56 = x + 81", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 56, \"e\": 81, \"x\": -7}", "seed": "8874153440998636805", "semantic_fingerprint": "sha256:465a0514b0af07c54474b4050c2799830da2a5940195121c4c0ee58bb38e0226", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004952", "prompt": "Evaluate: 7 * 941 + (-8) - (-739 + 8 / (-85))", "solution_steps": ["Multiply: 7 * 941 = 6587", "Add: 6587 + (-8) = 6579", "Divide: 8 / (-85) = -8/85", "Add: -739 + (-8/85) = -62823/85", "Subtract: 6579 - (-62823/85) = 622038/85"], "final_answer": "622038/85", "answer_type": "rational", "kind": "expression", "math_text": "7 * 941 + (-8) - (-739 + 8 / (-85))", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) n) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 941, \"c\": -8, \"d\": -739, \"e\": 8, \"f\": -85}", "seed": "6977327662047094107", "semantic_fingerprint": "sha256:72cf109142bc13a9fad768afb9bde694091c217ba1526fbe31d500aab817a2d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004953", "prompt": "Evaluate: 496 + (0 + (-214 + (-5))) * (-56)", "solution_steps": ["Add: -214 + (-5) = -219", "Add: 0 + (-219) = -219", "Multiply: -219 * (-56) = 12264", "Add: 496 + 12264 = 12760"], "final_answer": "12760", "answer_type": "integer", "kind": "expression", "math_text": "496 + (0 + (-214 + (-5))) * (-56)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 496, \"b\": 0, \"c\": -214, \"d\": -5, \"e\": -56}", "seed": "16870080096731023021", "semantic_fingerprint": "sha256:a1ecaac30afd34c24344dda20a5a2209b2df808db0c88cfbf3f75ad277a262d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004954", "prompt": "What value of x satisfies 12x - 438 = 8x - 502?", "solution_steps": ["Subtract 8x from both sides: 4x - 438 = -502", "Add 438 to both sides: 4x = -64", "Divide both sides by 4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 438 = 8x - 502", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 438, \"c\": 8, \"e\": -502, \"x\": -16}", "seed": "12639464578984666988", "semantic_fingerprint": "sha256:202809820a6e0ccc9c07b7061fb553711fef8235d288ef4874ad14113bf117ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004955", "prompt": "Compute: 63 / 2 * (1 - 448 - 4)", "solution_steps": ["Divide: 63 / 2 = 63/2", "Subtract: 1 - 448 = -447", "Subtract: -447 - 4 = -451", "Multiply: (63/2) * (-451) = -28413/2"], "final_answer": "-28413/2", "answer_type": "rational", "kind": "expression", "math_text": "63 / 2 * (1 - 448 - 4)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 2, \"c\": 1, \"d\": 448, \"e\": 4}", "seed": "15249387689458696797", "semantic_fingerprint": "sha256:5c0cc8a64c1cdcd2150a08fd6d5116d87240725a77d5f38f9ccb9cbe91176187", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004956", "prompt": "Evaluate: 8 - (-7) * (9 / (-3))", "solution_steps": ["Divide: 9 / (-3) = -3", "Multiply: -7 * (-3) = 21", "Subtract: 8 - 21 = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-7) * (9 / (-3))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -7, \"c\": 9, \"d\": -3}", "seed": "9820070639193539720", "semantic_fingerprint": "sha256:f3a4dc440c5e83e7789e28ffe39592406541fc7a618d243a1752990c3289e8c8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004957", "prompt": "Calculate: (56 - (833 + 939)) / (-80 / 83)", "solution_steps": ["Add: 833 + 939 = 1772", "Subtract: 56 - 1772 = -1716", "Divide: -80 / 83 = -80/83", "Divide: -1716 / (-80/83) = 35607/20"], "final_answer": "35607/20", "answer_type": "rational", "kind": "expression", "math_text": "(56 - (833 + 939)) / (-80 / 83)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 833, \"c\": 939, \"d\": -80, \"e\": 83}", "seed": "4885556647795497545", "semantic_fingerprint": "sha256:2d44aadf42292b487d6303a5699ac5ce1e1327627f2806226d7fe783a4956221", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004958", "prompt": "Compute: 6 + (-33) + (-94 - 54 - (-7))", "solution_steps": ["Add: 6 + (-33) = -27", "Subtract: -94 - 54 = -148", "Subtract: -148 - (-7) = -141", "Add: -27 + (-141) = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-33) + (-94 - 54 - (-7))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -33, \"c\": -94, \"d\": 54, \"e\": -7}", "seed": "10705194211392821500", "semantic_fingerprint": "sha256:faf5024e568d4886c1404ce9aae2f0b7d691b3740693f2b07111085cb563d976", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004959", "prompt": "Compute: -8 - (-28 - 37 + 5) - 0", "solution_steps": ["Subtract: -28 - 37 = -65", "Add: -65 + 5 = -60", "Subtract: -8 - (-60) = 52", "Subtract: 52 - 0 = 52"], "final_answer": "52", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-28 - 37 + 5) - 0", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -28, \"c\": 37, \"d\": 5, \"e\": 0}", "seed": "3952519963693271679", "semantic_fingerprint": "sha256:1209f4fc2b3e90abf9b68ae964deeeabd5ac2f86669a2d73536341094383f546", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004960", "prompt": "Compute: (20 - 8) / (-842 * 37 + (-4))", "solution_steps": ["Subtract: 20 - 8 = 12", "Multiply: -842 * 37 = -31154", "Add: -31154 + (-4) = -31158", "Divide: 12 / (-31158) = -2/5193"], "final_answer": "-2/5193", "answer_type": "rational", "kind": "expression", "math_text": "(20 - 8) / (-842 * 37 + (-4))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 8, \"c\": -842, \"d\": 37, \"e\": -4}", "seed": "9274466633958642271", "semantic_fingerprint": "sha256:2c871a9e9a2f1ee70c630ae3f008d4b8589ecf5cc5dd5e1ea17763ea3d69607f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004961", "prompt": "Compute: -614 * (-865 + (-90) * (-8))", "solution_steps": ["Multiply: -90 * (-8) = 720", "Add: -865 + 720 = -145", "Multiply: -614 * (-145) = 89030"], "final_answer": "89030", "answer_type": "integer", "kind": "expression", "math_text": "-614 * (-865 + (-90) * (-8))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -614, \"b\": -865, \"c\": -90, \"d\": -8}", "seed": "12553703877048745081", "semantic_fingerprint": "sha256:128c3872fc81f21c34e7f8b00960b49f9609fe8da7709683c50d8f2feb3c2362", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004962", "prompt": "Solve for x: 9(x + 3) + 54 = x + 89", "solution_steps": ["Expand: 9x + 27 + 54 = x + 89", "Combine constants: 9x + 81 = x + 89", "Subtract x from both sides: 8x + 81 = 89", "Subtract 81 from both sides: 8x = 8", "Divide both sides by 8: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 3) + 54 = x + 89", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 54, \"e\": 89, \"x\": 1}", "seed": "13056653536368527604", "semantic_fingerprint": "sha256:63a7260534c07795e85fed7e902270aa6ac03e81f7beb7356289d2bdac531e04", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004963", "prompt": "Find x: 5(x - 1) + 236 = -12(x + 2)", "solution_steps": ["Expand: 5x - 5 + 236 = -12(x + 2)", "Expand: 5x - 5 + 236 = -12x - 24", "Combine constants: 5x + 231 = -12x - 24", "Add 12x to both sides: 17x + 231 = -24", "Subtract 231 from both sides: 17x = -255", "Divide both sides by 17: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 1) + 236 = -12(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": -12, \"d\": 2, \"f\": 236, \"x\": -15}", "seed": "7402484973580589578", "semantic_fingerprint": "sha256:bdc9e67c2cc945a260ec2f9b54ddba5d2d65ed80b53239b90090be95b6865158", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004964", "prompt": "Calculate: 1 + (-1) - (26 + 90 - (-812))", "solution_steps": ["Add: 1 + (-1) = 0", "Add: 26 + 90 = 116", "Subtract: 116 - (-812) = 928", "Subtract: 0 - 928 = -928"], "final_answer": "-928", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-1) - (26 + 90 - (-812))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -1, \"c\": 26, \"d\": 90, \"e\": -812}", "seed": "17618749894106105877", "semantic_fingerprint": "sha256:51025789a46562b334b313a11206601bbe1b88721551f37234345a947754a834", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004965", "prompt": "What is 0 * ((97 - (-835)) * (30 + (-82)))?", "solution_steps": ["Subtract: 97 - (-835) = 932", "Add: 30 + (-82) = -52", "Multiply: 932 * (-52) = -48464", "Multiply: 0 * (-48464) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * ((97 - (-835)) * (30 + (-82)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 97, \"c\": -835, \"d\": 30, \"e\": -82}", "seed": "10966254595639779336", "semantic_fingerprint": "sha256:3a0d9248974bd0f8f89af2dfef4f25c5f121bce34a64e8a2b7ec0247831989a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004966", "prompt": "Calculate: (18 - 6 - (-8) / 64) / (-3)", "solution_steps": ["Subtract: 18 - 6 = 12", "Divide: -8 / 64 = -1/8", "Subtract: 12 - (-1/8) = 97/8", "Divide: (97/8) / (-3) = -97/24"], "final_answer": "-97/24", "answer_type": "rational", "kind": "expression", "math_text": "(18 - 6 - (-8) / 64) / (-3)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 6, \"c\": -8, \"d\": 64, \"e\": -3}", "seed": "7304494622263136097", "semantic_fingerprint": "sha256:8bc6b1713ba887c43b8624f6dfea0b22bbf886a0cc48442b8706f168e36ded2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004967", "prompt": "Find x: -11(x + 51) + 35 = x + 488", "solution_steps": ["Expand: -11x - 561 + 35 = x + 488", "Combine constants: -11x - 526 = x + 488", "Subtract x from both sides: -12x - 526 = 488", "Add 526 to both sides: -12x = 1014", "Divide both sides by -12: x = -169/2"], "final_answer": "-169/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 51) + 35 = x + 488", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 51, \"c\": 35, \"d\": 488}", "seed": "17980182902384202528", "semantic_fingerprint": "sha256:2dede67f4b39b6ffa282a412353239320f0254d2d3dac31db5e1da296f5fab44", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004968", "prompt": "What value of x satisfies -9x = 7(x + 1) - 1?", "solution_steps": ["Expand: -9x = 7x + 7 - 1", "Combine constants: -9x = 7x + 6", "Subtract 7x from both sides: -16x = 6", "Divide both sides by -16: x = -3/8"], "final_answer": "-3/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = 7(x + 1) - 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 1, \"d\": 1}", "seed": "1003054178941430498", "semantic_fingerprint": "sha256:e7f694bb371d7f797a2fd49de42649147b7de47ab233a699ff849f707475378a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004969", "prompt": "Compute: 8 * 5 - 6 * (-4) / (-2) / (-86)", "solution_steps": ["Multiply: 8 * 5 = 40", "Multiply: 6 * (-4) = -24", "Divide: -24 / (-2) = 12", "Divide: 12 / (-86) = -6/43", "Subtract: 40 - (-6/43) = 1726/43"], "final_answer": "1726/43", "answer_type": "rational", "kind": "expression", "math_text": "8 * 5 - 6 * (-4) / (-2) / (-86)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (/ (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 6, \"d\": -4, \"e\": -2, \"f\": -86}", "seed": "4576071207406741181", "semantic_fingerprint": "sha256:f8a580e458c5dac1a9cfce58708f87d6c449a5f0f471688771840b8021a582fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004970", "prompt": "Compute: 83 / (-7) - (-2 + 7 / 657)", "solution_steps": ["Divide: 83 / (-7) = -83/7", "Divide: 7 / 657 = 7/657", "Add: -2 + 7/657 = -1307/657", "Subtract: -83/7 - (-1307/657) = -45382/4599"], "final_answer": "-45382/4599", "answer_type": "rational", "kind": "expression", "math_text": "83 / (-7) - (-2 + 7 / 657)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -7, \"c\": -2, \"d\": 7, \"e\": 657}", "seed": "16431201411038192302", "semantic_fingerprint": "sha256:b99e8f5e6fac35896de9be886769052fa5e28eed1c42d33c6ebc6439bcc1affa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004971", "prompt": "Compute: (14 + (-712)) * (-3 * (66 * (-31 / (-18))))", "solution_steps": ["Add: 14 + (-712) = -698", "Divide: -31 / (-18) = 31/18", "Multiply: 66 * (31/18) = 341/3", "Multiply: -3 * (341/3) = -341", "Multiply: -698 * (-341) = 238018"], "final_answer": "238018", "answer_type": "integer", "kind": "expression", "math_text": "(14 + (-712)) * (-3 * (66 * (-31 / (-18))))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* n (* n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -712, \"c\": -3, \"d\": 66, \"e\": -31, \"f\": -18}", "seed": "8413028477589150755", "semantic_fingerprint": "sha256:9a8dd3c9086e215220b125514752e697557c8f3623735a91aff74c9acd2974d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004972", "prompt": "Evaluate: 11 / (4 + 33 + (-88 + 451))", "solution_steps": ["Add: 4 + 33 = 37", "Add: -88 + 451 = 363", "Add: 37 + 363 = 400", "Divide: 11 / 400 = 11/400"], "final_answer": "11/400", "answer_type": "rational", "kind": "expression", "math_text": "11 / (4 + 33 + (-88 + 451))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 33, \"d\": -88, \"e\": 451}", "seed": "16010385415479910987", "semantic_fingerprint": "sha256:6d8dbcdf3fe674976840e1fb6373461532d061352cef3c6c442c7fff0c2473c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004973", "prompt": "Solve for x: 5x - 20 = -10(x - 7)", "solution_steps": ["Expand: 5x - 20 = -10x + 70", "Add 10x to both sides: 15x - 20 = 70", "Add 20 to both sides: 15x = 90", "Divide both sides by 15: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 20 = -10(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -10, \"c\": 7, \"e\": -20, \"x\": 6}", "seed": "17874373153942522682", "semantic_fingerprint": "sha256:093da4a84f6febbf08ac07c3a5c1f48d7dcb17fb4940656e6adfd71bc6a77ea1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004974", "prompt": "Solve the equation -12x - 23 = 5(x - 4) for x.", "solution_steps": ["Expand: -12x - 23 = 5x - 20", "Subtract 5x from both sides: -17x - 23 = -20", "Add 23 to both sides: -17x = 3", "Divide both sides by -17: x = -3/17"], "final_answer": "-3/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 23 = 5(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 23, \"c\": 5, \"d\": 4}", "seed": "13005213421358032816", "semantic_fingerprint": "sha256:528e45e0c399e48843383b612abe59390c83692a89b8a6c9316c2c360c8d38d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004975", "prompt": "Compute: 312 / (-65) / (-8 + (-56) * (0 + (-31)))", "solution_steps": ["Divide: 312 / (-65) = -24/5", "Add: 0 + (-31) = -31", "Multiply: -56 * (-31) = 1736", "Add: -8 + 1736 = 1728", "Divide: (-24/5) / 1728 = -1/360"], "final_answer": "-1/360", "answer_type": "rational", "kind": "expression", "math_text": "312 / (-65) / (-8 + (-56) * (0 + (-31)))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (+ n (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 312, \"b\": -65, \"c\": -8, \"d\": -56, \"e\": 0, \"f\": -31}", "seed": "9401360459163498401", "semantic_fingerprint": "sha256:d4bb97e0b3ed3d5e2d5848119ffae119337a9bfe58bde911d37261ca36c5437f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004976", "prompt": "Compute: 929 * 900 + (39 - 64)", "solution_steps": ["Multiply: 929 * 900 = 836100", "Subtract: 39 - 64 = -25", "Add: 836100 + (-25) = 836075"], "final_answer": "836075", "answer_type": "integer", "kind": "expression", "math_text": "929 * 900 + (39 - 64)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 929, \"b\": 900, \"c\": 39, \"d\": 64}", "seed": "10609381728600238003", "semantic_fingerprint": "sha256:d3a741f4ede37cfac1688882ce6779d3892a08db8e76313bbbd51e23930748ac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004977", "prompt": "Solve for x: -8x - 533 = 9(x - 63)", "solution_steps": ["Expand: -8x - 533 = 9x - 567", "Subtract 9x from both sides: -17x - 533 = -567", "Add 533 to both sides: -17x = -34", "Divide both sides by -17: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 533 = 9(x - 63)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 63, \"e\": -533, \"x\": 2}", "seed": "9899423375078573256", "semantic_fingerprint": "sha256:88ed327a2455760fad03461cee96ff362b925c8ea2b09f8616c8acf69cb2e02b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004978", "prompt": "Solve the equation 5x - 147 = -9(x - 7) for x.", "solution_steps": ["Expand: 5x - 147 = -9x + 63", "Add 9x to both sides: 14x - 147 = 63", "Add 147 to both sides: 14x = 210", "Divide both sides by 14: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 147 = -9(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -9, \"c\": 7, \"e\": -147, \"x\": 15}", "seed": "13325839604651448603", "semantic_fingerprint": "sha256:9ed0903a1327c0759ec503e34867bf43a414b7bdde64793a96ab7e8119547abf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004979", "prompt": "Compute: 215 / 8 - (75 / (-76) - (478 - (-945)))", "solution_steps": ["Divide: 215 / 8 = 215/8", "Divide: 75 / (-76) = -75/76", "Subtract: 478 - (-945) = 1423", "Subtract: -75/76 - 1423 = -108223/76", "Subtract: 215/8 - (-108223/76) = 220531/152"], "final_answer": "220531/152", "answer_type": "rational", "kind": "expression", "math_text": "215 / 8 - (75 / (-76) - (478 - (-945)))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (- (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 215, \"b\": 8, \"c\": 75, \"d\": -76, \"e\": 478, \"f\": -945}", "seed": "11831686213943820468", "semantic_fingerprint": "sha256:a648d2c4f92d2f54bab1b0b479bc5f50e93d1ee9b226a4c3a1b362ff61743780", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004980", "prompt": "What value of x satisfies 9x = 4(x + 88) - 397?", "solution_steps": ["Expand: 9x = 4x + 352 - 397", "Combine constants: 9x = 4x - 45", "Subtract 4x from both sides: 5x = -45", "Divide both sides by 5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 4(x + 88) - 397", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 88, \"e\": -397, \"x\": -9}", "seed": "9488889196114017800", "semantic_fingerprint": "sha256:1311726cf9c7f5d8c0d6d93accd19a1c6dd5deef495d5a853bc5369f797ac2cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004981", "prompt": "What is 26 / (883 - 0) - (5 - (-64))?", "solution_steps": ["Subtract: 883 - 0 = 883", "Divide: 26 / 883 = 26/883", "Subtract: 5 - (-64) = 69", "Subtract: 26/883 - 69 = -60901/883"], "final_answer": "-60901/883", "answer_type": "rational", "kind": "expression", "math_text": "26 / (883 - 0) - (5 - (-64))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 883, \"c\": 0, \"d\": 5, \"e\": -64}", "seed": "3965341697163973840", "semantic_fingerprint": "sha256:c0c35469d381e4997f1e076fb72a8ddb3a0b4ab965f754ad8106c4cc6c6badbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004982", "prompt": "Compute: -498 * (-766) + 71 * (-718)", "solution_steps": ["Multiply: -498 * (-766) = 381468", "Multiply: 71 * (-718) = -50978", "Add: 381468 + (-50978) = 330490"], "final_answer": "330490", "answer_type": "integer", "kind": "expression", "math_text": "-498 * (-766) + 71 * (-718)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -498, \"b\": -766, \"c\": 71, \"d\": -718}", "seed": "7200089119690652004", "semantic_fingerprint": "sha256:3e9a8f08634e0ba3e74192079de1aac55bf0dd118fc1fcc848b2948e5d58b1d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004983", "prompt": "Solve the equation -12x - 307 = 11(x - 7) for x.", "solution_steps": ["Expand: -12x - 307 = 11x - 77", "Subtract 11x from both sides: -23x - 307 = -77", "Add 307 to both sides: -23x = 230", "Divide both sides by -23: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 307 = 11(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 11, \"c\": 7, \"e\": -307, \"x\": -10}", "seed": "16808509880923051322", "semantic_fingerprint": "sha256:15df14aeba1f81d6a2540b028988342ff16c690ecf1b73f4c9aed7a9bfbf10c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004984", "prompt": "Solve for x: 4(x + 6) - 4 = x + 74", "solution_steps": ["Expand: 4x + 24 - 4 = x + 74", "Combine constants: 4x + 20 = x + 74", "Subtract x from both sides: 3x + 20 = 74", "Subtract 20 from both sides: 3x = 54", "Divide both sides by 3: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 6) - 4 = x + 74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 4, \"e\": 74, \"x\": 18}", "seed": "12201893954917478014", "semantic_fingerprint": "sha256:b3fec1f9cdf1742266c97725604a4099629d636db9a3aa27e0c3a6e06be940a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004985", "prompt": "Evaluate: 2 * (50 / 410) / (-2) + (2 - (-50))", "solution_steps": ["Divide: 50 / 410 = 5/41", "Multiply: 2 * (5/41) = 10/41", "Divide: (10/41) / (-2) = -5/41", "Subtract: 2 - (-50) = 52", "Add: -5/41 + 52 = 2127/41"], "final_answer": "2127/41", "answer_type": "rational", "kind": "expression", "math_text": "2 * (50 / 410) / (-2) + (2 - (-50))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 50, \"c\": 410, \"d\": -2, \"e\": 2, \"f\": -50}", "seed": "16348326808617217222", "semantic_fingerprint": "sha256:34ce8ed02c2f42d5ab4b551453300f00895ac88d4e464536b6079047d497bef5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004986", "prompt": "What value of x satisfies 11x - 42 = 12x - 22?", "solution_steps": ["Subtract 12x from both sides: -x - 42 = -22", "Add 42 to both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 42 = 12x - 22", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 42, \"c\": 12, \"d\": 22}", "seed": "396444478903839789", "semantic_fingerprint": "sha256:e3a982356522fd2cd937839b8dded1e0826712df71d3eca03abb26008c7c86b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004987", "prompt": "Compute: -374 - (-572) / 81 - 9", "solution_steps": ["Divide: -572 / 81 = -572/81", "Subtract: -374 - (-572/81) = -29722/81", "Subtract: -29722/81 - 9 = -30451/81"], "final_answer": "-30451/81", "answer_type": "rational", "kind": "expression", "math_text": "-374 - (-572) / 81 - 9", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -374, \"b\": -572, \"c\": 81, \"d\": 9}", "seed": "8243131239318142733", "semantic_fingerprint": "sha256:962ac02962a6c19b91ac4a13fcb3708ec65606f93be4ee98dd1ae0244ea3c0ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004988", "prompt": "Find x: -5x - 9 = -11x - 33", "solution_steps": ["Add 11x to both sides: 6x - 9 = -33", "Add 9 to both sides: 6x = -24", "Divide both sides by 6: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 9 = -11x - 33", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": -11, \"e\": -33, \"x\": -4}", "seed": "10840074947739112220", "semantic_fingerprint": "sha256:3de9cf50b21c0003e2368e0384af32fac534ac268b427b9e3091b1a238f8e1f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004989", "prompt": "Find x: 4x = 3(x + 82) - 256", "solution_steps": ["Expand: 4x = 3x + 246 - 256", "Combine constants: 4x = 3x - 10", "Subtract 3x from both sides: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 3(x + 82) - 256", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 82, \"e\": -256, \"x\": -10}", "seed": "8689834823051101575", "semantic_fingerprint": "sha256:ebb61c79630d9f5e2e9c0657e4993210bcca28b59d803a06fae0a156f9769644", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004990", "prompt": "Evaluate: (-586 + (-5)) / (-38 - (-5)) / 38", "solution_steps": ["Add: -586 + (-5) = -591", "Subtract: -38 - (-5) = -33", "Divide: -591 / (-33) = 197/11", "Divide: (197/11) / 38 = 197/418"], "final_answer": "197/418", "answer_type": "rational", "kind": "expression", "math_text": "(-586 + (-5)) / (-38 - (-5)) / 38", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -586, \"b\": -5, \"c\": -38, \"d\": -5, \"e\": 38}", "seed": "5547179958046356156", "semantic_fingerprint": "sha256:90fd26d71e53347e89420dbb7a9f228622ee06610de25b46f40bd4888ee9dc21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004991", "prompt": "Compute: 81 + 88 + 1 + (99 + (-74))", "solution_steps": ["Add: 81 + 88 = 169", "Add: 169 + 1 = 170", "Add: 99 + (-74) = 25", "Add: 170 + 25 = 195"], "final_answer": "195", "answer_type": "integer", "kind": "expression", "math_text": "81 + 88 + 1 + (99 + (-74))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 88, \"c\": 1, \"d\": 99, \"e\": -74}", "seed": "15397639918835008548", "semantic_fingerprint": "sha256:0b057e1e8678699fdaff74e7e6cb304c4f370aedf5878402639bd8816d238a58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004992", "prompt": "Solve for x: 4(x + 6) = 6(x - 1) + 3", "solution_steps": ["Expand: 4x + 24 = 6(x - 1) + 3", "Expand: 4x + 24 = 6x - 6 + 3", "Combine constants: 4x + 24 = 6x - 3", "Subtract 6x from both sides: -2x + 24 = -3", "Subtract 24 from both sides: -2x = -27", "Divide both sides by -2: x = 27/2"], "final_answer": "27/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 6) = 6(x - 1) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 6, \"d\": 1, \"e\": 3}", "seed": "11350930237995020548", "semantic_fingerprint": "sha256:20227b0344cc8bd67b47fa049e537fb4b2b6c4ea3cbb88aef78d7c49697e9ad3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004993", "prompt": "What value of x satisfies -10x = 7(x + 6) - 195?", "solution_steps": ["Expand: -10x = 7x + 42 - 195", "Combine constants: -10x = 7x - 153", "Subtract 7x from both sides: -17x = -153", "Divide both sides by -17: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 7(x + 6) - 195", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 6, \"e\": -195, \"x\": 9}", "seed": "17312171633276625706", "semantic_fingerprint": "sha256:c8fa8b0679e0313227b5216aa46b6baa8dc9e77e9513cb7c66c673d02344be29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004994", "prompt": "What is -2 - 4 * (-9 - (38 + 5)) + (-29)?", "solution_steps": ["Add: 38 + 5 = 43", "Subtract: -9 - 43 = -52", "Multiply: 4 * (-52) = -208", "Subtract: -2 - (-208) = 206", "Add: 206 + (-29) = 177"], "final_answer": "177", "answer_type": "integer", "kind": "expression", "math_text": "-2 - 4 * (-9 - (38 + 5)) + (-29)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n (- n (+ n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": -9, \"d\": 38, \"e\": 5, \"f\": -29}", "seed": "5734989475151817655", "semantic_fingerprint": "sha256:9115d80a4323cc8be755b3d71dc0759ad250c81a0da0b323e46d2b7e7bd5839e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004995", "prompt": "What value of x satisfies -8(x + 2) + 54 = x + 92?", "solution_steps": ["Expand: -8x - 16 + 54 = x + 92", "Combine constants: -8x + 38 = x + 92", "Subtract x from both sides: -9x + 38 = 92", "Subtract 38 from both sides: -9x = 54", "Divide both sides by -9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 2) + 54 = x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"c\": 54, \"e\": 92, \"x\": -6}", "seed": "2865508614220584419", "semantic_fingerprint": "sha256:ca3bbbc3ffd4a3fe58b5f3e3c5a89962137b54b7faebdff342c5b4561ae9d892", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004996", "prompt": "Calculate: -978 + (2 + 3 * 18 + 3)", "solution_steps": ["Multiply: 3 * 18 = 54", "Add: 2 + 54 = 56", "Add: 56 + 3 = 59", "Add: -978 + 59 = -919"], "final_answer": "-919", "answer_type": "integer", "kind": "expression", "math_text": "-978 + (2 + 3 * 18 + 3)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -978, \"b\": 2, \"c\": 3, \"d\": 18, \"e\": 3}", "seed": "7115318740437276369", "semantic_fingerprint": "sha256:9189b7798c076345d1e508a56d70183bf51f23fece039ff6d9790d12426f7acf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004997", "prompt": "What value of x satisfies -5x = 3(x + 15) - 85?", "solution_steps": ["Expand: -5x = 3x + 45 - 85", "Combine constants: -5x = 3x - 40", "Subtract 3x from both sides: -8x = -40", "Divide both sides by -8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 3(x + 15) - 85", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 15, \"e\": -85, \"x\": 5}", "seed": "6358108077476358002", "semantic_fingerprint": "sha256:df0196f38a44a89dde97994375f1e7037140355c7337580cc990263327eabf45", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004998", "prompt": "What value of x satisfies -7x = 3(x + 2) + 24?", "solution_steps": ["Expand: -7x = 3x + 6 + 24", "Combine constants: -7x = 3x + 30", "Subtract 3x from both sides: -10x = 30", "Divide both sides by -10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 3(x + 2) + 24", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 2, \"e\": 24, \"x\": -3}", "seed": "14349867287520523773", "semantic_fingerprint": "sha256:d66e0a15a1e18b3a866045fbf6b26e8638364accc444501b901269813034d291", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00004999", "prompt": "What is (-316 - (-79)) * 6 / (-4 - (-98))?", "solution_steps": ["Subtract: -316 - (-79) = -237", "Multiply: -237 * 6 = -1422", "Subtract: -4 - (-98) = 94", "Divide: -1422 / 94 = -711/47"], "final_answer": "-711/47", "answer_type": "rational", "kind": "expression", "math_text": "(-316 - (-79)) * 6 / (-4 - (-98))", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -316, \"b\": -79, \"c\": 6, \"d\": -4, \"e\": -98}", "seed": "16974754965540893584", "semantic_fingerprint": "sha256:2c3aa0ab1ea0d085fe9c5bf025b6947f7c050ffaf89b232b8f66471732756edb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005000", "prompt": "What is (19 * (-326) - 94) / (83 + (-9 + 1))?", "solution_steps": ["Multiply: 19 * (-326) = -6194", "Subtract: -6194 - 94 = -6288", "Add: -9 + 1 = -8", "Add: 83 + (-8) = 75", "Divide: -6288 / 75 = -2096/25"], "final_answer": "-2096/25", "answer_type": "rational", "kind": "expression", "math_text": "(19 * (-326) - 94) / (83 + (-9 + 1))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -326, \"c\": 94, \"d\": 83, \"e\": -9, \"f\": 1}", "seed": "8261431586261588602", "semantic_fingerprint": "sha256:8aedbfaebafefc43683f1f876da27d50330b3605814b9d7dc51274b19a787925", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005001", "prompt": "Solve the equation 11x - 83 = 4(x - 33) for x.", "solution_steps": ["Expand: 11x - 83 = 4x - 132", "Subtract 4x from both sides: 7x - 83 = -132", "Add 83 to both sides: 7x = -49", "Divide both sides by 7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 83 = 4(x - 33)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 33, \"e\": -83, \"x\": -7}", "seed": "11422349773624475238", "semantic_fingerprint": "sha256:7fb34a7b75cde5584f8945e666de5bf1a45d5b4e1fe8901b9565f44421bbc5a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005002", "prompt": "Compute: -76 * (36 * 4) + 0", "solution_steps": ["Multiply: 36 * 4 = 144", "Multiply: -76 * 144 = -10944", "Add: -10944 + 0 = -10944"], "final_answer": "-10944", "answer_type": "integer", "kind": "expression", "math_text": "-76 * (36 * 4) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 36, \"c\": 4, \"d\": 0}", "seed": "8107773557705381367", "semantic_fingerprint": "sha256:65e05d96c98e8a74b99095909b766fee469c9cdcdd7c4b4d96abee22a40543da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005003", "prompt": "Compute: -93 + (56 - (-360)) + 495", "solution_steps": ["Subtract: 56 - (-360) = 416", "Add: -93 + 416 = 323", "Add: 323 + 495 = 818"], "final_answer": "818", "answer_type": "integer", "kind": "expression", "math_text": "-93 + (56 - (-360)) + 495", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 56, \"c\": -360, \"d\": 495}", "seed": "15373927506401712477", "semantic_fingerprint": "sha256:b0815b92c9e3afe5e519a7769aa3a9f1fa7bd2c997aa9420385b467a13c5dd6d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005004", "prompt": "Solve for x: 6x = 3(x + 59) - 138", "solution_steps": ["Expand: 6x = 3x + 177 - 138", "Combine constants: 6x = 3x + 39", "Subtract 3x from both sides: 3x = 39", "Divide both sides by 3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 3(x + 59) - 138", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 59, \"e\": -138, \"x\": 13}", "seed": "11820033021958311016", "semantic_fingerprint": "sha256:9814524a9ac12dbb2ad7ed6f03e4f961cc2f86c19626b244c27587382e59e5e4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005005", "prompt": "Compute: (-9 + 366 / (-6)) * (-90 - (-46))", "solution_steps": ["Divide: 366 / (-6) = -61", "Add: -9 + (-61) = -70", "Subtract: -90 - (-46) = -44", "Multiply: -70 * (-44) = 3080"], "final_answer": "3080", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + 366 / (-6)) * (-90 - (-46))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 366, \"c\": -6, \"d\": -90, \"e\": -46}", "seed": "11774029537765783778", "semantic_fingerprint": "sha256:0993282dc1ed392d36266b22ec10ab05566295743662bc10eadd20bcad075ebd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005006", "prompt": "What value of x satisfies 10(x + 3) = 9(x - 93) + 858?", "solution_steps": ["Expand: 10x + 30 = 9(x - 93) + 858", "Expand: 10x + 30 = 9x - 837 + 858", "Combine constants: 10x + 30 = 9x + 21", "Subtract 9x from both sides: x + 30 = 21", "Subtract 30 from both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 3) = 9(x - 93) + 858", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 9, \"d\": 93, \"f\": 858, \"x\": -9}", "seed": "1475846304420031398", "semantic_fingerprint": "sha256:13569abffd7941db9e4dab7b655bd7e4aa7eee53e2f3e3733d27c61f56b13a06", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005007", "prompt": "What value of x satisfies 4(x + 39) + 93 = x + 282?", "solution_steps": ["Expand: 4x + 156 + 93 = x + 282", "Combine constants: 4x + 249 = x + 282", "Subtract x from both sides: 3x + 249 = 282", "Subtract 249 from both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 39) + 93 = x + 282", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 39, \"c\": 93, \"e\": 282, \"x\": 11}", "seed": "13992765175012531930", "semantic_fingerprint": "sha256:dc32bd6dd69c8de8dadac842cbc2a2bbd9877d0353e8f58a6d591b7859a1d870", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005008", "prompt": "What value of x satisfies 12(x - 6) + 390 = -9(x + 9)?", "solution_steps": ["Expand: 12x - 72 + 390 = -9(x + 9)", "Expand: 12x - 72 + 390 = -9x - 81", "Combine constants: 12x + 318 = -9x - 81", "Add 9x to both sides: 21x + 318 = -81", "Subtract 318 from both sides: 21x = -399", "Divide both sides by 21: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 6) + 390 = -9(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": -9, \"d\": 9, \"f\": 390, \"x\": -19}", "seed": "185798037084222662", "semantic_fingerprint": "sha256:71b1055a49bb52f54c469247b746dd1a10bbb0b2fff58059e9bc36ed27c8337a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005009", "prompt": "Compute: -4 + (-42) - (8 + (-1) / 216)", "solution_steps": ["Add: -4 + (-42) = -46", "Divide: -1 / 216 = -1/216", "Add: 8 + (-1/216) = 1727/216", "Subtract: -46 - 1727/216 = -11663/216"], "final_answer": "-11663/216", "answer_type": "rational", "kind": "expression", "math_text": "-4 + (-42) - (8 + (-1) / 216)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -42, \"c\": 8, \"d\": -1, \"e\": 216}", "seed": "1826695105762324634", "semantic_fingerprint": "sha256:a2d3c1c4ad97536959b05bbf1177db121c897f59c97d061cb5e8c6b4610e4f5d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005010", "prompt": "Compute: -3 + (481 - (-2)) + 45", "solution_steps": ["Subtract: 481 - (-2) = 483", "Add: -3 + 483 = 480", "Add: 480 + 45 = 525"], "final_answer": "525", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (481 - (-2)) + 45", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 481, \"c\": -2, \"d\": 45}", "seed": "3929241999309621233", "semantic_fingerprint": "sha256:adaf18ebf115fa1e801e95edee3a319d359c5a09f9c683800ef1e92739d92486", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005011", "prompt": "Solve the equation 11(x + 38) + 13 = x + 431 for x.", "solution_steps": ["Expand: 11x + 418 + 13 = x + 431", "Combine constants: 11x + 431 = x + 431", "Subtract x from both sides: 10x + 431 = 431", "Subtract 431 from both sides: 10x = 0", "Divide both sides by 10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 38) + 13 = x + 431", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 38, \"c\": 13, \"e\": 431, \"x\": 0}", "seed": "11437662519439999785", "semantic_fingerprint": "sha256:01e69a09a8bda14b24c25761ac6c59b58be3243d0ff627a3b7e2ae966f3f2bc6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005012", "prompt": "What value of x satisfies 4(x + 9) = 8(x - 70) + 644?", "solution_steps": ["Expand: 4x + 36 = 8(x - 70) + 644", "Expand: 4x + 36 = 8x - 560 + 644", "Combine constants: 4x + 36 = 8x + 84", "Subtract 8x from both sides: -4x + 36 = 84", "Subtract 36 from both sides: -4x = 48", "Divide both sides by -4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) = 8(x - 70) + 644", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 8, \"d\": 70, \"f\": 644, \"x\": -12}", "seed": "15962045041813585568", "semantic_fingerprint": "sha256:c478bbeefe0e37b18cdea1e9fca07c380cc8ac2b09ca737d3903ca8e96628594", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005013", "prompt": "Solve the equation -7(x - 3) - 4 = x + 89 for x.", "solution_steps": ["Expand: -7x + 21 - 4 = x + 89", "Combine constants: -7x + 17 = x + 89", "Subtract x from both sides: -8x + 17 = 89", "Subtract 17 from both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 3) - 4 = x + 89", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 4, \"e\": 89, \"x\": -9}", "seed": "11033688305435726384", "semantic_fingerprint": "sha256:3f563aed186cfc2b9bf3884ff9284fe5eb4f26d712ffa7cbb4c0c5d700fcaab0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005014", "prompt": "Compute: 0 / (-6 + 735) * (987 - (108 + 8))", "solution_steps": ["Add: -6 + 735 = 729", "Divide: 0 / 729 = 0", "Add: 108 + 8 = 116", "Subtract: 987 - 116 = 871", "Multiply: 0 * 871 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-6 + 735) * (987 - (108 + 8))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6, \"c\": 735, \"d\": 987, \"e\": 108, \"f\": 8}", "seed": "1254809285241376382", "semantic_fingerprint": "sha256:adc281fb090a39a0be84c2da81977f454547a88cc75184ba7ed3f40ae8d14887", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005015", "prompt": "Find x: 6(x + 19) = 9(x - 6) + 28", "solution_steps": ["Expand: 6x + 114 = 9(x - 6) + 28", "Expand: 6x + 114 = 9x - 54 + 28", "Combine constants: 6x + 114 = 9x - 26", "Subtract 9x from both sides: -3x + 114 = -26", "Subtract 114 from both sides: -3x = -140", "Divide both sides by -3: x = 140/3"], "final_answer": "140/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 19) = 9(x - 6) + 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 19, \"c\": 9, \"d\": 6, \"e\": 28}", "seed": "10990184033109379081", "semantic_fingerprint": "sha256:d7021029ae0c64bccac286fab4f10e8f198b188fbcfe85e7e843a59d4c437a0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005016", "prompt": "Calculate: (4 - (-73 + 77)) * (7 + 0)", "solution_steps": ["Add: -73 + 77 = 4", "Subtract: 4 - 4 = 0", "Add: 7 + 0 = 7", "Multiply: 0 * 7 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(4 - (-73 + 77)) * (7 + 0)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -73, \"c\": 77, \"d\": 7, \"e\": 0}", "seed": "15819067804166794825", "semantic_fingerprint": "sha256:ab0a080cb9061b4ec52fd1213a66187fbb380c654a39fc22dc6154c23d2c4e13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005017", "prompt": "Evaluate: -46 + (0 - (-2 + 3))", "solution_steps": ["Add: -2 + 3 = 1", "Subtract: 0 - 1 = -1", "Add: -46 + (-1) = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "-46 + (0 - (-2 + 3))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 0, \"c\": -2, \"d\": 3}", "seed": "17870204824369655185", "semantic_fingerprint": "sha256:4fdba6251c2926fa7abfd7cc7a56aacd60de3980c46875c619aedcb898973849", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005018", "prompt": "Calculate: 901 + 7 / (-4 * 8 - 353) - (-14)", "solution_steps": ["Multiply: -4 * 8 = -32", "Subtract: -32 - 353 = -385", "Divide: 7 / (-385) = -1/55", "Add: 901 + (-1/55) = 49554/55", "Subtract: 49554/55 - (-14) = 50324/55"], "final_answer": "50324/55", "answer_type": "rational", "kind": "expression", "math_text": "901 + 7 / (-4 * 8 - 353) - (-14)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ n (- (* n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 901, \"b\": 7, \"c\": -4, \"d\": 8, \"e\": 353, \"f\": -14}", "seed": "5894948625317958826", "semantic_fingerprint": "sha256:8d4160619bb7701d8326ee14bc8177e21a98d5aa2ea3e6c6ee9165002cd9c78f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005019", "prompt": "What is 469 * (-5 - (-4) - 5) + (25 + (-80))?", "solution_steps": ["Subtract: -5 - (-4) = -1", "Subtract: -1 - 5 = -6", "Multiply: 469 * (-6) = -2814", "Add: 25 + (-80) = -55", "Add: -2814 + (-55) = -2869"], "final_answer": "-2869", "answer_type": "integer", "kind": "expression", "math_text": "469 * (-5 - (-4) - 5) + (25 + (-80))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 469, \"b\": -5, \"c\": -4, \"d\": 5, \"e\": 25, \"f\": -80}", "seed": "11816337260253835930", "semantic_fingerprint": "sha256:9a3aeeefdb42c54293c31af2af7272aa27552b7d9b6783307b6cadafe8a7cd3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005020", "prompt": "Evaluate: -8 - (-16) / (-6) - (-6)", "solution_steps": ["Divide: -16 / (-6) = 8/3", "Subtract: -8 - 8/3 = -32/3", "Subtract: -32/3 - (-6) = -14/3"], "final_answer": "-14/3", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-16) / (-6) - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -16, \"c\": -6, \"d\": -6}", "seed": "12971526123608067943", "semantic_fingerprint": "sha256:d98f44cb2901dabc420a4cf6fe3cfd85d0a4c61ef6dedc8872cda3c7c5380c01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005021", "prompt": "What is 530 + (549 / 72 * (-570 + 6) + (-91))?", "solution_steps": ["Divide: 549 / 72 = 61/8", "Add: -570 + 6 = -564", "Multiply: (61/8) * (-564) = -8601/2", "Add: -8601/2 + (-91) = -8783/2", "Add: 530 + (-8783/2) = -7723/2"], "final_answer": "-7723/2", "answer_type": "rational", "kind": "expression", "math_text": "530 + (549 / 72 * (-570 + 6) + (-91))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* (/ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 530, \"b\": 549, \"c\": 72, \"d\": -570, \"e\": 6, \"f\": -91}", "seed": "9596006346499708847", "semantic_fingerprint": "sha256:74c81f29a8c4952b165114511416f32e948753102e637638b2d6e2764274572a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005022", "prompt": "Solve the equation 9x = 7(x + 15) - 25 for x.", "solution_steps": ["Expand: 9x = 7x + 105 - 25", "Combine constants: 9x = 7x + 80", "Subtract 7x from both sides: 2x = 80", "Divide both sides by 2: x = 40"], "final_answer": "40", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 7(x + 15) - 25", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 15, \"d\": 25}", "seed": "1103675900207230815", "semantic_fingerprint": "sha256:9938d8f86080c50332b47e60e37efc23168fbf17f25b7ccaed94f4022089f19b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005023", "prompt": "Compute: 9 + (-20) - (-966 - (-96 - 617 / (-40)))", "solution_steps": ["Add: 9 + (-20) = -11", "Divide: 617 / (-40) = -617/40", "Subtract: -96 - (-617/40) = -3223/40", "Subtract: -966 - (-3223/40) = -35417/40", "Subtract: -11 - (-35417/40) = 34977/40"], "final_answer": "34977/40", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-20) - (-966 - (-96 - 617 / (-40)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -20, \"c\": -966, \"d\": -96, \"e\": 617, \"f\": -40}", "seed": "13160559388931152650", "semantic_fingerprint": "sha256:d093c9bedd269af320ab18d65f28a900bad4e951e069ad195d9b652dd6fc804e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005024", "prompt": "Solve the equation -8(x - 83) - 28 = x + 2 for x.", "solution_steps": ["Expand: -8x + 664 - 28 = x + 2", "Combine constants: -8x + 636 = x + 2", "Subtract x from both sides: -9x + 636 = 2", "Subtract 636 from both sides: -9x = -634", "Divide both sides by -9: x = 634/9"], "final_answer": "634/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 83) - 28 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 83, \"c\": 28, \"d\": 2}", "seed": "3067960265327617195", "semantic_fingerprint": "sha256:ce6320252408101b464aa8e2a85b6369e919563e59e3f431b41055942d68e860", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005025", "prompt": "Solve for x: -2x - 526 = 7x - 24", "solution_steps": ["Subtract 7x from both sides: -9x - 526 = -24", "Add 526 to both sides: -9x = 502", "Divide both sides by -9: x = -502/9"], "final_answer": "-502/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 526 = 7x - 24", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 526, \"c\": 7, \"d\": 24}", "seed": "12229768723157999298", "semantic_fingerprint": "sha256:a1febe815f908d4860edbcadea75270c65e11e0cbf2193e60e74c7d4c93e1840", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005026", "prompt": "Evaluate: (6 + (-961)) / (-5 + 208)", "solution_steps": ["Add: 6 + (-961) = -955", "Add: -5 + 208 = 203", "Divide: -955 / 203 = -955/203"], "final_answer": "-955/203", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (-961)) / (-5 + 208)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -961, \"c\": -5, \"d\": 208}", "seed": "209308810542666229", "semantic_fingerprint": "sha256:2fc8d97a358e58bb590c7f573f0bba18c9592cfeb5cf909d67207172991b48f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005027", "prompt": "Compute: (-3 - 29 / (-96)) * (-45 * (-77))", "solution_steps": ["Divide: 29 / (-96) = -29/96", "Subtract: -3 - (-29/96) = -259/96", "Multiply: -45 * (-77) = 3465", "Multiply: (-259/96) * 3465 = -299145/32"], "final_answer": "-299145/32", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 29 / (-96)) * (-45 * (-77))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 29, \"c\": -96, \"d\": -45, \"e\": -77}", "seed": "7422969119804735848", "semantic_fingerprint": "sha256:b3f0e5f2c46395340245da9cc18528a57e6f675d48cc8eff5f8f91883da76499", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005028", "prompt": "What value of x satisfies 10(x - 7) - 6 = x + 59?", "solution_steps": ["Expand: 10x - 70 - 6 = x + 59", "Combine constants: 10x - 76 = x + 59", "Subtract x from both sides: 9x - 76 = 59", "Add 76 to both sides: 9x = 135", "Divide both sides by 9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 7) - 6 = x + 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 6, \"e\": 59, \"x\": 15}", "seed": "7257036834185297419", "semantic_fingerprint": "sha256:c3fbacbea7a0bbf936bc88cbde30dd1b50191f64caa1abced77200d7a128c644", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005029", "prompt": "Evaluate: 304 / 76 - (-3) * 4 / (-1)", "solution_steps": ["Divide: 304 / 76 = 4", "Multiply: -3 * 4 = -12", "Divide: -12 / (-1) = 12", "Subtract: 4 - 12 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "304 / 76 - (-3) * 4 / (-1)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 304, \"b\": 76, \"c\": -3, \"d\": 4, \"e\": -1}", "seed": "8206965487959266793", "semantic_fingerprint": "sha256:2e0257d72e5b2e4eca6330065cb34f0b1d6c043fde67dd21e54bd1db51a89dfe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005030", "prompt": "Solve for x: 3x = -8(x + 76) + 509", "solution_steps": ["Expand: 3x = -8x - 608 + 509", "Combine constants: 3x = -8x - 99", "Add 8x to both sides: 11x = -99", "Divide both sides by 11: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -8(x + 76) + 509", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": 76, \"e\": 509, \"x\": -9}", "seed": "5131857338840965091", "semantic_fingerprint": "sha256:e820eb14fdaa611f2897363f2547f890cb1bdb333c728ded47102b1777139a66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005031", "prompt": "Evaluate: 76 / (92 / (42 / 5)) + 4 / 98", "solution_steps": ["Divide: 42 / 5 = 42/5", "Divide: 92 / (42/5) = 230/21", "Divide: 76 / (230/21) = 798/115", "Divide: 4 / 98 = 2/49", "Add: 798/115 + 2/49 = 39332/5635"], "final_answer": "39332/5635", "answer_type": "rational", "kind": "expression", "math_text": "76 / (92 / (42 / 5)) + 4 / 98", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ n (/ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 92, \"c\": 42, \"d\": 5, \"e\": 4, \"f\": 98}", "seed": "13936970313564660022", "semantic_fingerprint": "sha256:30a5e41a6dfd72e00737623e9ae155a4d6b3d338e50ff96706cffa40f2a711c1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005032", "prompt": "Calculate: -1 - (-1 + (-2) + (-5)) - (-18) * (-77)", "solution_steps": ["Add: -1 + (-2) = -3", "Add: -3 + (-5) = -8", "Subtract: -1 - (-8) = 7", "Multiply: -18 * (-77) = 1386", "Subtract: 7 - 1386 = -1379"], "final_answer": "-1379", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-1 + (-2) + (-5)) - (-18) * (-77)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -1, \"c\": -2, \"d\": -5, \"e\": -18, \"f\": -77}", "seed": "10611322244864298594", "semantic_fingerprint": "sha256:d86609799759b0f0ae39d3b42980ee5c5c812acc4fb075597ceb5278ce34b0e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005033", "prompt": "Solve for x: -12x = 3(x + 51) - 63", "solution_steps": ["Expand: -12x = 3x + 153 - 63", "Combine constants: -12x = 3x + 90", "Subtract 3x from both sides: -15x = 90", "Divide both sides by -15: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 3(x + 51) - 63", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 51, \"e\": -63, \"x\": -6}", "seed": "12059488457227266467", "semantic_fingerprint": "sha256:4b8817b4ea0a098766edc9faf46322fd011e1147d900fb4f0ead23ef59463a98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005034", "prompt": "Solve the equation 5(x + 2) + 73 = x + 3 for x.", "solution_steps": ["Expand: 5x + 10 + 73 = x + 3", "Combine constants: 5x + 83 = x + 3", "Subtract x from both sides: 4x + 83 = 3", "Subtract 83 from both sides: 4x = -80", "Divide both sides by 4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 2) + 73 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 73, \"e\": 3, \"x\": -20}", "seed": "16253351606845625879", "semantic_fingerprint": "sha256:c8a8f95a533b8887baf5e5c60f58005b1a15fe489562f1aa320a1befa4ae635a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005035", "prompt": "What is 8 - (-435) / (833 - 5) - 817 / 9?", "solution_steps": ["Subtract: 833 - 5 = 828", "Divide: -435 / 828 = -145/276", "Subtract: 8 - (-145/276) = 2353/276", "Divide: 817 / 9 = 817/9", "Subtract: 2353/276 - 817/9 = -68105/828"], "final_answer": "-68105/828", "answer_type": "rational", "kind": "expression", "math_text": "8 - (-435) / (833 - 5) - 817 / 9", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ n (- n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -435, \"c\": 833, \"d\": 5, \"e\": 817, \"f\": 9}", "seed": "10852396128724298837", "semantic_fingerprint": "sha256:8f2bb474248cff32bc4b8d5e6c0e6bd6923191476dbe97d45d0c0f9281bf1c7b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005036", "prompt": "Solve for x: 2(x - 30) + 70 = 9(x + 5)", "solution_steps": ["Expand: 2x - 60 + 70 = 9(x + 5)", "Expand: 2x - 60 + 70 = 9x + 45", "Combine constants: 2x + 10 = 9x + 45", "Subtract 9x from both sides: -7x + 10 = 45", "Subtract 10 from both sides: -7x = 35", "Divide both sides by -7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 30) + 70 = 9(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 30, \"c\": 9, \"d\": 5, \"f\": 70, \"x\": -5}", "seed": "7993521260393751805", "semantic_fingerprint": "sha256:b36c0dc124405c4b9a867cc9fc3ccc921864d4e4649b3aa7c068f39d9b67de0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005037", "prompt": "Find x: 4x - 12 = 2(x - 3)", "solution_steps": ["Expand: 4x - 12 = 2x - 6", "Subtract 2x from both sides: 2x - 12 = -6", "Add 12 to both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 12 = 2(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 3, \"e\": -12, \"x\": 3}", "seed": "2596314655582654436", "semantic_fingerprint": "sha256:49839123dfcd130d66c4c412a7412eb50233e35b7d845ceeb1728ef92371ec01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005038", "prompt": "Solve for x: 4x = -2(x + 26) + 914", "solution_steps": ["Expand: 4x = -2x - 52 + 914", "Combine constants: 4x = -2x + 862", "Add 2x to both sides: 6x = 862", "Divide both sides by 6: x = 431/3"], "final_answer": "431/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = -2(x + 26) + 914", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": 26, \"d\": 914}", "seed": "8013616494342861722", "semantic_fingerprint": "sha256:2cc2d115576d5563d73e8835187caf4c67e54b4f0eda579747521c31181d9d53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005039", "prompt": "Find x: 10x = -4(x + 41) + 178", "solution_steps": ["Expand: 10x = -4x - 164 + 178", "Combine constants: 10x = -4x + 14", "Add 4x to both sides: 14x = 14", "Divide both sides by 14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -4(x + 41) + 178", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -4, \"c\": 41, \"e\": 178, \"x\": 1}", "seed": "10447596652771051626", "semantic_fingerprint": "sha256:03721625c159115f40a0253bd9f3858d21964a773e95746d792263d435e6399b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005040", "prompt": "What is 9 * 149 + 13 * (-35)?", "solution_steps": ["Multiply: 9 * 149 = 1341", "Multiply: 13 * (-35) = -455", "Add: 1341 + (-455) = 886"], "final_answer": "886", "answer_type": "integer", "kind": "expression", "math_text": "9 * 149 + 13 * (-35)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 149, \"c\": 13, \"d\": -35}", "seed": "16051457050782463842", "semantic_fingerprint": "sha256:5416499e7c5318cf2ba751c12f0b90aabd90b9340d8ee81c8d70b126c501c47a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005041", "prompt": "What is (-3 - (0 - (-822))) * (-86 + 436)?", "solution_steps": ["Subtract: 0 - (-822) = 822", "Subtract: -3 - 822 = -825", "Add: -86 + 436 = 350", "Multiply: -825 * 350 = -288750"], "final_answer": "-288750", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (0 - (-822))) * (-86 + 436)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 0, \"c\": -822, \"d\": -86, \"e\": 436}", "seed": "14570436085711114725", "semantic_fingerprint": "sha256:2e45bbc0c220aa74236cb9c67672f523bec8051ad2adefbebf2a967189a9febd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005042", "prompt": "Compute: (755 - (-8) - (-53)) * 4", "solution_steps": ["Subtract: 755 - (-8) = 763", "Subtract: 763 - (-53) = 816", "Multiply: 816 * 4 = 3264"], "final_answer": "3264", "answer_type": "integer", "kind": "expression", "math_text": "(755 - (-8) - (-53)) * 4", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 755, \"b\": -8, \"c\": -53, \"d\": 4}", "seed": "13640235375576252193", "semantic_fingerprint": "sha256:65d9b969a167b6bcccd261b50be834eaa992a51ea9c0441e081429ba515efbff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005043", "prompt": "Calculate: (261 - 89) * (329 / 370) - 507", "solution_steps": ["Subtract: 261 - 89 = 172", "Divide: 329 / 370 = 329/370", "Multiply: 172 * (329/370) = 28294/185", "Subtract: 28294/185 - 507 = -65501/185"], "final_answer": "-65501/185", "answer_type": "rational", "kind": "expression", "math_text": "(261 - 89) * (329 / 370) - 507", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 261, \"b\": 89, \"c\": 329, \"d\": 370, \"e\": 507}", "seed": "429360182940218906", "semantic_fingerprint": "sha256:7a96b74dc8746f34cf5b01ef68c080e360d935d99d5e702f1b7da1a854079e87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005044", "prompt": "Calculate: 72 / (37 / (-18) - 61 + (-4))", "solution_steps": ["Divide: 37 / (-18) = -37/18", "Subtract: -37/18 - 61 = -1135/18", "Add: -1135/18 + (-4) = -1207/18", "Divide: 72 / (-1207/18) = -1296/1207"], "final_answer": "-1296/1207", "answer_type": "rational", "kind": "expression", "math_text": "72 / (37 / (-18) - 61 + (-4))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 37, \"c\": -18, \"d\": 61, \"e\": -4}", "seed": "8475935712186991288", "semantic_fingerprint": "sha256:d0b9700d459dee6da5bce92ff3184a0bc6111fbe8a6d1e874bd18cfdef196c66", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005045", "prompt": "What value of x satisfies 11(x + 6) - 91 = x + 48?", "solution_steps": ["Expand: 11x + 66 - 91 = x + 48", "Combine constants: 11x - 25 = x + 48", "Subtract x from both sides: 10x - 25 = 48", "Add 25 to both sides: 10x = 73", "Divide both sides by 10: x = 73/10"], "final_answer": "73/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 6) - 91 = x + 48", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 91, \"d\": 48}", "seed": "4113785380738289083", "semantic_fingerprint": "sha256:c671539e8a073977676d9d1b493a884f6a54020cdd195f1a257eed9bd9ea8ea5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005046", "prompt": "What value of x satisfies 12(x - 12) + 36 = -4(x + 3)?", "solution_steps": ["Expand: 12x - 144 + 36 = -4(x + 3)", "Expand: 12x - 144 + 36 = -4x - 12", "Combine constants: 12x - 108 = -4x - 12", "Add 4x to both sides: 16x - 108 = -12", "Add 108 to both sides: 16x = 96", "Divide both sides by 16: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 12) + 36 = -4(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 12, \"c\": -4, \"d\": 3, \"f\": 36, \"x\": 6}", "seed": "2164752233448183449", "semantic_fingerprint": "sha256:7e3554ea55b6075add9ad2544ce1c55269f15a4014cbc2429b28f3a5144d195e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005047", "prompt": "Compute: 48 + 984 / (-3) - (-46) + (62 + (-88))", "solution_steps": ["Divide: 984 / (-3) = -328", "Add: 48 + (-328) = -280", "Subtract: -280 - (-46) = -234", "Add: 62 + (-88) = -26", "Add: -234 + (-26) = -260"], "final_answer": "-260", "answer_type": "integer", "kind": "expression", "math_text": "48 + 984 / (-3) - (-46) + (62 + (-88))", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n (/ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 984, \"c\": -3, \"d\": -46, \"e\": 62, \"f\": -88}", "seed": "12856544037508472942", "semantic_fingerprint": "sha256:541732763ce46386626a4412a64772cf252f9737e87086a35237688a0e72f2ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005048", "prompt": "Find x: 6(x - 5) - 94 = x + 8", "solution_steps": ["Expand: 6x - 30 - 94 = x + 8", "Combine constants: 6x - 124 = x + 8", "Subtract x from both sides: 5x - 124 = 8", "Add 124 to both sides: 5x = 132", "Divide both sides by 5: x = 132/5"], "final_answer": "132/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 5) - 94 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 94, \"d\": 8}", "seed": "2273930509954738383", "semantic_fingerprint": "sha256:1316ea68674067c5794f795f541a6b8cfe9be6a6948d525c76a119c8027c08b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005049", "prompt": "Evaluate: -3 + (-573 - (-829) + 247) + (-7) * (-683)", "solution_steps": ["Subtract: -573 - (-829) = 256", "Add: 256 + 247 = 503", "Add: -3 + 503 = 500", "Multiply: -7 * (-683) = 4781", "Add: 500 + 4781 = 5281"], "final_answer": "5281", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-573 - (-829) + 247) + (-7) * (-683)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ (- n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -573, \"c\": -829, \"d\": 247, \"e\": -7, \"f\": -683}", "seed": "5923204785459865758", "semantic_fingerprint": "sha256:ef493f4f5bdefcfbbf6f8769b9f3bc44ec2d9b4427384e997cc8b836f1ddc9bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005050", "prompt": "What is -573 - 78 / (-33) - 234 / 4?", "solution_steps": ["Divide: 78 / (-33) = -26/11", "Subtract: -573 - (-26/11) = -6277/11", "Divide: 234 / 4 = 117/2", "Subtract: -6277/11 - 117/2 = -13841/22"], "final_answer": "-13841/22", "answer_type": "rational", "kind": "expression", "math_text": "-573 - 78 / (-33) - 234 / 4", "variable": null, "family": "expression_4op", "shape": "(- (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -573, \"b\": 78, \"c\": -33, \"d\": 234, \"e\": 4}", "seed": "9742355573891115675", "semantic_fingerprint": "sha256:c89f8c7f0df4d50314558a6f14f98f25e7b7ad901ea03c25cf861469f3d15cf6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005051", "prompt": "Calculate: (-456 + 5) * (3 * (-165) / (35 - 86))", "solution_steps": ["Add: -456 + 5 = -451", "Multiply: 3 * (-165) = -495", "Subtract: 35 - 86 = -51", "Divide: -495 / (-51) = 165/17", "Multiply: -451 * (165/17) = -74415/17"], "final_answer": "-74415/17", "answer_type": "rational", "kind": "expression", "math_text": "(-456 + 5) * (3 * (-165) / (35 - 86))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -456, \"b\": 5, \"c\": 3, \"d\": -165, \"e\": 35, \"f\": 86}", "seed": "13170790006054850269", "semantic_fingerprint": "sha256:4e4a825ec2af4f31002b607cb77b2756696c12102545cfd84eed183b8cd48603", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005052", "prompt": "Compute: (-2 + 1) * (0 / (-91) + (-766 - 0))", "solution_steps": ["Add: -2 + 1 = -1", "Divide: 0 / (-91) = 0", "Subtract: -766 - 0 = -766", "Add: 0 + (-766) = -766", "Multiply: -1 * (-766) = 766"], "final_answer": "766", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + 1) * (0 / (-91) + (-766 - 0))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"c\": 0, \"d\": -91, \"e\": -766, \"f\": 0}", "seed": "13095060680431662494", "semantic_fingerprint": "sha256:ddda5559d63a9edf0130afb20de25d00aebe9e5c4ede28c2545e958b1e1330b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005053", "prompt": "Find x: 6(x + 13) + 723 = x + 28", "solution_steps": ["Expand: 6x + 78 + 723 = x + 28", "Combine constants: 6x + 801 = x + 28", "Subtract x from both sides: 5x + 801 = 28", "Subtract 801 from both sides: 5x = -773", "Divide both sides by 5: x = -773/5"], "final_answer": "-773/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 13) + 723 = x + 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 13, \"c\": 723, \"d\": 28}", "seed": "2319082664375616314", "semantic_fingerprint": "sha256:e1a59cd4c91918db77dc597484b34581cb896b31f1fb2f7ca42f9b6e9a80b6e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005054", "prompt": "Calculate: 0 * 41 - (17 + (-720)) / 20 * (-1)", "solution_steps": ["Multiply: 0 * 41 = 0", "Add: 17 + (-720) = -703", "Divide: -703 / 20 = -703/20", "Multiply: (-703/20) * (-1) = 703/20", "Subtract: 0 - 703/20 = -703/20"], "final_answer": "-703/20", "answer_type": "rational", "kind": "expression", "math_text": "0 * 41 - (17 + (-720)) / 20 * (-1)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (/ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 41, \"c\": 17, \"d\": -720, \"e\": 20, \"f\": -1}", "seed": "7825058844712840812", "semantic_fingerprint": "sha256:655593c492cb806abc3eda2fc89f795755a8c94fdb34236270d95da0bcfab8f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005055", "prompt": "Compute: 0 - (86 - (-44)) + (-18) - 314", "solution_steps": ["Subtract: 86 - (-44) = 130", "Subtract: 0 - 130 = -130", "Add: -130 + (-18) = -148", "Subtract: -148 - 314 = -462"], "final_answer": "-462", "answer_type": "integer", "kind": "expression", "math_text": "0 - (86 - (-44)) + (-18) - 314", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 86, \"c\": -44, \"d\": -18, \"e\": 314}", "seed": "14776990882656666646", "semantic_fingerprint": "sha256:82295af0fec9c15ccfc3e95299cea9c5285622807bbbd2577fbb48c187a3f580", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005056", "prompt": "Solve for x: -9(x - 7) - 96 = x + 9", "solution_steps": ["Expand: -9x + 63 - 96 = x + 9", "Combine constants: -9x - 33 = x + 9", "Subtract x from both sides: -10x - 33 = 9", "Add 33 to both sides: -10x = 42", "Divide both sides by -10: x = -21/5"], "final_answer": "-21/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 7) - 96 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 96, \"d\": 9}", "seed": "262936566965433159", "semantic_fingerprint": "sha256:ae9c549583ec07c69e7982c5fd3c9e0cefdf57bb2d5943b2a74022ce764b757c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005057", "prompt": "Solve the equation 8x - 3 = -9x - 156 for x.", "solution_steps": ["Add 9x to both sides: 17x - 3 = -156", "Add 3 to both sides: 17x = -153", "Divide both sides by 17: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 3 = -9x - 156", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": -9, \"e\": -156, \"x\": -9}", "seed": "7529467244514260533", "semantic_fingerprint": "sha256:70b69b990ec63ab2cd82bd30b2409fa5bbde19f605e48c5a48e2ccfcb551f52e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005058", "prompt": "Calculate: (275 / 11 - 0) * 0", "solution_steps": ["Divide: 275 / 11 = 25", "Subtract: 25 - 0 = 25", "Multiply: 25 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(275 / 11 - 0) * 0", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 275, \"b\": 11, \"c\": 0, \"d\": 0}", "seed": "14449555753678316081", "semantic_fingerprint": "sha256:ecb31817be21142c7fdd117ef85c0e1aff72086e996fc8668729ddb4b9510910", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005059", "prompt": "What is (-923 - (-75) - 61) * (-455)?", "solution_steps": ["Subtract: -923 - (-75) = -848", "Subtract: -848 - 61 = -909", "Multiply: -909 * (-455) = 413595"], "final_answer": "413595", "answer_type": "integer", "kind": "expression", "math_text": "(-923 - (-75) - 61) * (-455)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -923, \"b\": -75, \"c\": 61, \"d\": -455}", "seed": "15827756457595790001", "semantic_fingerprint": "sha256:6fa18f108c25bd20e8e167901e9ca6b182284ea6e76edd7a7b7d02200e81790b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005060", "prompt": "Compute: -1 * (0 - (-1)) * (-5) - 8", "solution_steps": ["Subtract: 0 - (-1) = 1", "Multiply: -1 * 1 = -1", "Multiply: -1 * (-5) = 5", "Subtract: 5 - 8 = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (0 - (-1)) * (-5) - 8", "variable": null, "family": "expression_4op", "shape": "(- (* (* n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 0, \"c\": -1, \"d\": -5, \"e\": 8}", "seed": "13175530593581656545", "semantic_fingerprint": "sha256:339ebc8d60e7ead5481a08902867f05b1781f40d548c17177bcacf2b63e094e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005061", "prompt": "Calculate: (-6 + (-539)) / (-2) + 214", "solution_steps": ["Add: -6 + (-539) = -545", "Divide: -545 / (-2) = 545/2", "Add: 545/2 + 214 = 973/2"], "final_answer": "973/2", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-539)) / (-2) + 214", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -539, \"c\": -2, \"d\": 214}", "seed": "9714000994704638843", "semantic_fingerprint": "sha256:4cbfbd14ca7e15d44c4da43dd2bead74090f1e26053135281b500cec1710702c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005062", "prompt": "Find x: 8x = -5(x + 94) + 685", "solution_steps": ["Expand: 8x = -5x - 470 + 685", "Combine constants: 8x = -5x + 215", "Add 5x to both sides: 13x = 215", "Divide both sides by 13: x = 215/13"], "final_answer": "215/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = -5(x + 94) + 685", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": 94, \"d\": 685}", "seed": "2029878866368982148", "semantic_fingerprint": "sha256:e9d06c681e318620cd90e6bb62728b56b04baf6cb86de41864578a8928b6d553", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005063", "prompt": "Solve for x: 2x - 5 = -11x - 31", "solution_steps": ["Add 11x to both sides: 13x - 5 = -31", "Add 5 to both sides: 13x = -26", "Divide both sides by 13: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 5 = -11x - 31", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": -11, \"e\": -31, \"x\": -2}", "seed": "12996491104897925967", "semantic_fingerprint": "sha256:5993f6229fa4ab6630f70ef1aaf9d38a06d4e95e178dd0027d1c29ab4c7cc7fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005064", "prompt": "Solve for x: 3x - 624 = 12(x - 52)", "solution_steps": ["Expand: 3x - 624 = 12x - 624", "Subtract 12x from both sides: -9x - 624 = -624", "Add 624 to both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 624 = 12(x - 52)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 12, \"c\": 52, \"e\": -624, \"x\": 0}", "seed": "1374505441277327861", "semantic_fingerprint": "sha256:4fdf224d029987f762028e887dd692d211131b95d974f2b0b2628fa8ce43afaa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005065", "prompt": "Compute: -49 * (115 * 81) * 0", "solution_steps": ["Multiply: 115 * 81 = 9315", "Multiply: -49 * 9315 = -456435", "Multiply: -456435 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-49 * (115 * 81) * 0", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 115, \"c\": 81, \"d\": 0}", "seed": "15943123710174706692", "semantic_fingerprint": "sha256:2d7346aea04b8124970247b2a97b51ae22da42c686575624f6543811ef0c9b86", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005066", "prompt": "Evaluate: (48 + 9) / 393 + (-657)", "solution_steps": ["Add: 48 + 9 = 57", "Divide: 57 / 393 = 19/131", "Add: 19/131 + (-657) = -86048/131"], "final_answer": "-86048/131", "answer_type": "rational", "kind": "expression", "math_text": "(48 + 9) / 393 + (-657)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 9, \"c\": 393, \"d\": -657}", "seed": "11947077991135922290", "semantic_fingerprint": "sha256:cb8912b1d1c10cbffabc2768c581ffb3e0204b5cb5b0997c10c97242689ff36a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005067", "prompt": "What value of x satisfies -3(x + 3) - 28 = x + 9?", "solution_steps": ["Expand: -3x - 9 - 28 = x + 9", "Combine constants: -3x - 37 = x + 9", "Subtract x from both sides: -4x - 37 = 9", "Add 37 to both sides: -4x = 46", "Divide both sides by -4: x = -23/2"], "final_answer": "-23/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 3) - 28 = x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 28, \"d\": 9}", "seed": "2195771906410500150", "semantic_fingerprint": "sha256:f985d16d77709f95c55b4b0ab71cbf79c24926673461f62b7525dcf755210d12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005068", "prompt": "Calculate: 58 / (-3 / 7) * 71 / 2", "solution_steps": ["Divide: -3 / 7 = -3/7", "Divide: 58 / (-3/7) = -406/3", "Multiply: (-406/3) * 71 = -28826/3", "Divide: (-28826/3) / 2 = -14413/3"], "final_answer": "-14413/3", "answer_type": "rational", "kind": "expression", "math_text": "58 / (-3 / 7) * 71 / 2", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -3, \"c\": 7, \"d\": 71, \"e\": 2}", "seed": "15630938217488781412", "semantic_fingerprint": "sha256:3888025298c318c559aa18eeb41dacf897b5370d98ada6816f4c1698bf385aa3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005069", "prompt": "Calculate: (-27 - (-54) / 52) / (-70) + 2", "solution_steps": ["Divide: -54 / 52 = -27/26", "Subtract: -27 - (-27/26) = -675/26", "Divide: (-675/26) / (-70) = 135/364", "Add: 135/364 + 2 = 863/364"], "final_answer": "863/364", "answer_type": "rational", "kind": "expression", "math_text": "(-27 - (-54) / 52) / (-70) + 2", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -54, \"c\": 52, \"d\": -70, \"e\": 2}", "seed": "18338384184076423596", "semantic_fingerprint": "sha256:94c0114024e9c10957342af5057ba62a78b828f891d6e32212b80fab0c3b4220", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005070", "prompt": "Calculate: 94 + (-20 - (468 + 0))", "solution_steps": ["Add: 468 + 0 = 468", "Subtract: -20 - 468 = -488", "Add: 94 + (-488) = -394"], "final_answer": "-394", "answer_type": "integer", "kind": "expression", "math_text": "94 + (-20 - (468 + 0))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -20, \"c\": 468, \"d\": 0}", "seed": "3185105832265775143", "semantic_fingerprint": "sha256:1d72ec14a65c114ff7538a891561f29ee462d226647eb77fb47b09c41db090a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005071", "prompt": "Evaluate: -82 - (-296) - 1 * (-415 + 583)", "solution_steps": ["Subtract: -82 - (-296) = 214", "Add: -415 + 583 = 168", "Multiply: 1 * 168 = 168", "Subtract: 214 - 168 = 46"], "final_answer": "46", "answer_type": "integer", "kind": "expression", "math_text": "-82 - (-296) - 1 * (-415 + 583)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -296, \"c\": 1, \"d\": -415, \"e\": 583}", "seed": "16372451261813205959", "semantic_fingerprint": "sha256:46c58fee24d9e30868a3122ac4080d6d124c50d9e962b05430d8d76c2cc3f83c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005072", "prompt": "Calculate: 5 - 465 * (0 / 56)", "solution_steps": ["Divide: 0 / 56 = 0", "Multiply: 465 * 0 = 0", "Subtract: 5 - 0 = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "5 - 465 * (0 / 56)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 465, \"c\": 0, \"d\": 56}", "seed": "18391342000290006273", "semantic_fingerprint": "sha256:fd3472dfe5bd2f36755f973b722ad9cb92178e2d67d25a4adbf7e91ccc78437b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005073", "prompt": "Solve the equation 12(x + 18) - 2 = x + 280 for x.", "solution_steps": ["Expand: 12x + 216 - 2 = x + 280", "Combine constants: 12x + 214 = x + 280", "Subtract x from both sides: 11x + 214 = 280", "Subtract 214 from both sides: 11x = 66", "Divide both sides by 11: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 18) - 2 = x + 280", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 18, \"c\": 2, \"e\": 280, \"x\": 6}", "seed": "2428651340663141407", "semantic_fingerprint": "sha256:c831ad36b631c0972c4117603cf9e337ca420facba3b4cfde4dbb213e8021337", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005074", "prompt": "What is -851 + (-370) - (867 + (-890) / 744)?", "solution_steps": ["Add: -851 + (-370) = -1221", "Divide: -890 / 744 = -445/372", "Add: 867 + (-445/372) = 322079/372", "Subtract: -1221 - 322079/372 = -776291/372"], "final_answer": "-776291/372", "answer_type": "rational", "kind": "expression", "math_text": "-851 + (-370) - (867 + (-890) / 744)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -851, \"b\": -370, \"c\": 867, \"d\": -890, \"e\": 744}", "seed": "6530192935074554649", "semantic_fingerprint": "sha256:7e06b9a9be094fd037f392629c56ac87ab44b5869a0a87a17f45a8bf060c61ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005075", "prompt": "Compute: 12 * 37 * (7 / 93)", "solution_steps": ["Multiply: 12 * 37 = 444", "Divide: 7 / 93 = 7/93", "Multiply: 444 * (7/93) = 1036/31"], "final_answer": "1036/31", "answer_type": "rational", "kind": "expression", "math_text": "12 * 37 * (7 / 93)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 37, \"c\": 7, \"d\": 93}", "seed": "13687113311923966684", "semantic_fingerprint": "sha256:83c69a87f533974fbd91593d34f44f9db8756a326f6fc7743356713a8ffca920", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005076", "prompt": "Solve the equation -5x - 46 = 11x - 366 for x.", "solution_steps": ["Subtract 11x from both sides: -16x - 46 = -366", "Add 46 to both sides: -16x = -320", "Divide both sides by -16: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 46 = 11x - 366", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 46, \"c\": 11, \"e\": -366, \"x\": 20}", "seed": "9793968460327540428", "semantic_fingerprint": "sha256:e65b71903f12414fa026c1fa9e109aac80397597829e208617cf7b487c591bfe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005077", "prompt": "What is (-71 - 8) / (-4) + (1 + 2)?", "solution_steps": ["Subtract: -71 - 8 = -79", "Divide: -79 / (-4) = 79/4", "Add: 1 + 2 = 3", "Add: 79/4 + 3 = 91/4"], "final_answer": "91/4", "answer_type": "rational", "kind": "expression", "math_text": "(-71 - 8) / (-4) + (1 + 2)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 8, \"c\": -4, \"d\": 1, \"e\": 2}", "seed": "10084772802589093094", "semantic_fingerprint": "sha256:5098db884bf92a873889e89d44cb56585da7289b3581d9768c2b51eb93d2c99b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005078", "prompt": "What value of x satisfies 10(x + 8) = -12(x - 73) + 4?", "solution_steps": ["Expand: 10x + 80 = -12(x - 73) + 4", "Expand: 10x + 80 = -12x + 876 + 4", "Combine constants: 10x + 80 = -12x + 880", "Add 12x to both sides: 22x + 80 = 880", "Subtract 80 from both sides: 22x = 800", "Divide both sides by 22: x = 400/11"], "final_answer": "400/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 8) = -12(x - 73) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": -12, \"d\": 73, \"e\": 4}", "seed": "17757031287965171596", "semantic_fingerprint": "sha256:61721db483da9647a30bda30af718c229da0f34ee76b4768e42310753010d150", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005079", "prompt": "Calculate: 992 / (43 * (-1) / (-315 + 84)) + 973", "solution_steps": ["Multiply: 43 * (-1) = -43", "Add: -315 + 84 = -231", "Divide: -43 / (-231) = 43/231", "Divide: 992 / (43/231) = 229152/43", "Add: 229152/43 + 973 = 270991/43"], "final_answer": "270991/43", "answer_type": "rational", "kind": "expression", "math_text": "992 / (43 * (-1) / (-315 + 84)) + 973", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ (* n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 992, \"b\": 43, \"c\": -1, \"d\": -315, \"e\": 84, \"f\": 973}", "seed": "10592947207621159785", "semantic_fingerprint": "sha256:f1258f02968b0ab7df220690ea3f569f5e09d57be298a26989b5f8df62c6ed49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005080", "prompt": "Solve the equation -10(x - 7) + 156 = 3(x + 6) for x.", "solution_steps": ["Expand: -10x + 70 + 156 = 3(x + 6)", "Expand: -10x + 70 + 156 = 3x + 18", "Combine constants: -10x + 226 = 3x + 18", "Subtract 3x from both sides: -13x + 226 = 18", "Subtract 226 from both sides: -13x = -208", "Divide both sides by -13: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 7) + 156 = 3(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 3, \"d\": 6, \"f\": 156, \"x\": 16}", "seed": "16490143566192802240", "semantic_fingerprint": "sha256:bc352315e7477ec627b34412c734a463e06c1c1c5157537f90729cd9e7a0d8a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005081", "prompt": "Solve for x: -11x = -4(x + 2) - 34", "solution_steps": ["Expand: -11x = -4x - 8 - 34", "Combine constants: -11x = -4x - 42", "Add 4x to both sides: -7x = -42", "Divide both sides by -7: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = -4(x + 2) - 34", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -4, \"c\": 2, \"e\": -34, \"x\": 6}", "seed": "11319548360795473014", "semantic_fingerprint": "sha256:049753cf98b5c8866e4eba9b78ed01373ddce49d74969e5239d6210948f93e31", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005082", "prompt": "Compute: (316 - (44 + (-29))) * (-5)", "solution_steps": ["Add: 44 + (-29) = 15", "Subtract: 316 - 15 = 301", "Multiply: 301 * (-5) = -1505"], "final_answer": "-1505", "answer_type": "integer", "kind": "expression", "math_text": "(316 - (44 + (-29))) * (-5)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 316, \"b\": 44, \"c\": -29, \"d\": -5}", "seed": "18130832050758900812", "semantic_fingerprint": "sha256:75af0e06c8964f780377feae012970ee02fdab1e2b9adb7f94434f66da995b9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005083", "prompt": "Compute: 232 - (-9) * (-20) - (-527) / (5 * (-7))", "solution_steps": ["Multiply: -9 * (-20) = 180", "Subtract: 232 - 180 = 52", "Multiply: 5 * (-7) = -35", "Divide: -527 / (-35) = 527/35", "Subtract: 52 - 527/35 = 1293/35"], "final_answer": "1293/35", "answer_type": "rational", "kind": "expression", "math_text": "232 - (-9) * (-20) - (-527) / (5 * (-7))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 232, \"b\": -9, \"c\": -20, \"d\": -527, \"e\": 5, \"f\": -7}", "seed": "3303596415277004922", "semantic_fingerprint": "sha256:a0455f50e2f78ce9d217a0a9d0191b0a363b2209e0085f6d3afc732c0f997eef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005084", "prompt": "Calculate: -246 * 0 * (-141 / (-8))", "solution_steps": ["Multiply: -246 * 0 = 0", "Divide: -141 / (-8) = 141/8", "Multiply: 0 * (141/8) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-246 * 0 * (-141 / (-8))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -246, \"b\": 0, \"c\": -141, \"d\": -8}", "seed": "18214828250710312852", "semantic_fingerprint": "sha256:093c3d47b886b5c487419958de13c94b21901bd25c154d395f6ff545cd11ed7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005085", "prompt": "What is 65 - (-2) * (-28 / 14)?", "solution_steps": ["Divide: -28 / 14 = -2", "Multiply: -2 * (-2) = 4", "Subtract: 65 - 4 = 61"], "final_answer": "61", "answer_type": "integer", "kind": "expression", "math_text": "65 - (-2) * (-28 / 14)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -2, \"c\": -28, \"d\": 14}", "seed": "6553416160743824880", "semantic_fingerprint": "sha256:78cbd8be3d4fd0375723760251841be0049faf51e71cd08e5d7f782674006f79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005086", "prompt": "Calculate: -2 - (-6 + 46) / (-594)", "solution_steps": ["Add: -6 + 46 = 40", "Divide: 40 / (-594) = -20/297", "Subtract: -2 - (-20/297) = -574/297"], "final_answer": "-574/297", "answer_type": "rational", "kind": "expression", "math_text": "-2 - (-6 + 46) / (-594)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": 46, \"d\": -594}", "seed": "12724403518620003013", "semantic_fingerprint": "sha256:cdb8d9777be1fea7c847c1d40a7f9464ed62ef931335243016df591f80998669", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005087", "prompt": "Find x: -8x = 2(x + 414) - 878", "solution_steps": ["Expand: -8x = 2x + 828 - 878", "Combine constants: -8x = 2x - 50", "Subtract 2x from both sides: -10x = -50", "Divide both sides by -10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = 2(x + 414) - 878", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"c\": 414, \"e\": -878, \"x\": 5}", "seed": "14075621286470972590", "semantic_fingerprint": "sha256:15cafe7c161cd08dc5e6af22f4dbeb05eb2f1f40e85c737aa9b10fa0a7a54d12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005088", "prompt": "Evaluate: 5 * 622 - (-616) + 22 / (-3)", "solution_steps": ["Multiply: 5 * 622 = 3110", "Subtract: 3110 - (-616) = 3726", "Divide: 22 / (-3) = -22/3", "Add: 3726 + (-22/3) = 11156/3"], "final_answer": "11156/3", "answer_type": "rational", "kind": "expression", "math_text": "5 * 622 - (-616) + 22 / (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 622, \"c\": -616, \"d\": 22, \"e\": -3}", "seed": "12885728412358962311", "semantic_fingerprint": "sha256:65e23f5896742ba2fcb9f4c5fcdebe19842319db82670220cbcc36c53b443c26", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005089", "prompt": "Solve the equation 12(x + 15) = 9(x - 95) + 990 for x.", "solution_steps": ["Expand: 12x + 180 = 9(x - 95) + 990", "Expand: 12x + 180 = 9x - 855 + 990", "Combine constants: 12x + 180 = 9x + 135", "Subtract 9x from both sides: 3x + 180 = 135", "Subtract 180 from both sides: 3x = -45", "Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 15) = 9(x - 95) + 990", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 15, \"c\": 9, \"d\": 95, \"f\": 990, \"x\": -15}", "seed": "8438600588923178407", "semantic_fingerprint": "sha256:db3a93818e6490bf64be24ee66316eaaedb3f6273ad112fdff226d54d5efb229", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005090", "prompt": "Find x: 11(x - 309) + 166 = -8(x + 996)", "solution_steps": ["Expand: 11x - 3399 + 166 = -8(x + 996)", "Expand: 11x - 3399 + 166 = -8x - 7968", "Combine constants: 11x - 3233 = -8x - 7968", "Add 8x to both sides: 19x - 3233 = -7968", "Add 3233 to both sides: 19x = -4735", "Divide both sides by 19: x = -4735/19"], "final_answer": "-4735/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 309) + 166 = -8(x + 996)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 309, \"c\": 166, \"d\": -8, \"e\": 996}", "seed": "15354225326720954233", "semantic_fingerprint": "sha256:d75d4be30295ace9e2a87281df0a1a5b7765b1dbf33f5c0289747f08449029ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005091", "prompt": "What is (65 + 377) * (6 - (0 - 681))?", "solution_steps": ["Add: 65 + 377 = 442", "Subtract: 0 - 681 = -681", "Subtract: 6 - (-681) = 687", "Multiply: 442 * 687 = 303654"], "final_answer": "303654", "answer_type": "integer", "kind": "expression", "math_text": "(65 + 377) * (6 - (0 - 681))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 377, \"c\": 6, \"d\": 0, \"e\": 681}", "seed": "6730831041695027054", "semantic_fingerprint": "sha256:937945353fed6cdf5a89a3adf41397ed9e39417ace937fd0d7b01c416d8eac3c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005092", "prompt": "Evaluate: 46 + (16 - 6) + 674", "solution_steps": ["Subtract: 16 - 6 = 10", "Add: 46 + 10 = 56", "Add: 56 + 674 = 730"], "final_answer": "730", "answer_type": "integer", "kind": "expression", "math_text": "46 + (16 - 6) + 674", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 16, \"c\": 6, \"d\": 674}", "seed": "8025100907963327870", "semantic_fingerprint": "sha256:62ee38c9e03f3f2da201cae2d6d6020501301f1c1c763f3c91741eafc86cd61b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005093", "prompt": "Solve for x: 3(x + 24) = 10(x - 2) + 43", "solution_steps": ["Expand: 3x + 72 = 10(x - 2) + 43", "Expand: 3x + 72 = 10x - 20 + 43", "Combine constants: 3x + 72 = 10x + 23", "Subtract 10x from both sides: -7x + 72 = 23", "Subtract 72 from both sides: -7x = -49", "Divide both sides by -7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 24) = 10(x - 2) + 43", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 24, \"c\": 10, \"d\": 2, \"f\": 43, \"x\": 7}", "seed": "10539478879178225866", "semantic_fingerprint": "sha256:33ee34da4c9cdf5af1cb11d027f443a50d600d4848f37081c07c471275cd1a55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005094", "prompt": "What value of x satisfies 5x = 3(x + 4) - 48?", "solution_steps": ["Expand: 5x = 3x + 12 - 48", "Combine constants: 5x = 3x - 36", "Subtract 3x from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 3(x + 4) - 48", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 4, \"e\": -48, \"x\": -18}", "seed": "16373367812386239220", "semantic_fingerprint": "sha256:9009273ce8c47ea8d9b28be1ae11f3ccc3f71d1e0a5d524a0557b4c24d5bb01f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005095", "prompt": "Evaluate: -24 * 6 + (-69 - 7)", "solution_steps": ["Multiply: -24 * 6 = -144", "Subtract: -69 - 7 = -76", "Add: -144 + (-76) = -220"], "final_answer": "-220", "answer_type": "integer", "kind": "expression", "math_text": "-24 * 6 + (-69 - 7)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 6, \"c\": -69, \"d\": 7}", "seed": "17859018860565367368", "semantic_fingerprint": "sha256:0565f089974b8f918e5297b3be6194a7f3081b7a7bb246f0b54656ef1039f22f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005096", "prompt": "Find x: 8x - 121 = 3(x - 32)", "solution_steps": ["Expand: 8x - 121 = 3x - 96", "Subtract 3x from both sides: 5x - 121 = -96", "Add 121 to both sides: 5x = 25", "Divide both sides by 5: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 121 = 3(x - 32)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 32, \"e\": -121, \"x\": 5}", "seed": "6105792304334956843", "semantic_fingerprint": "sha256:03133d5e409ce38f63d93fe845a70e8e63424780b64475c5e0546d5465cd9051", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005097", "prompt": "Solve for x: 10(x - 23) + 352 = -4(x + 22)", "solution_steps": ["Expand: 10x - 230 + 352 = -4(x + 22)", "Expand: 10x - 230 + 352 = -4x - 88", "Combine constants: 10x + 122 = -4x - 88", "Add 4x to both sides: 14x + 122 = -88", "Subtract 122 from both sides: 14x = -210", "Divide both sides by 14: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 23) + 352 = -4(x + 22)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 23, \"c\": -4, \"d\": 22, \"f\": 352, \"x\": -15}", "seed": "11776145545793469483", "semantic_fingerprint": "sha256:1fa654fdd0a4154486735d25ee5388e9981554fc5730375c4d1b48c35fbeb2a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005098", "prompt": "Evaluate: -733 * (-62 + (-1) * 633)", "solution_steps": ["Multiply: -1 * 633 = -633", "Add: -62 + (-633) = -695", "Multiply: -733 * (-695) = 509435"], "final_answer": "509435", "answer_type": "integer", "kind": "expression", "math_text": "-733 * (-62 + (-1) * 633)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -733, \"b\": -62, \"c\": -1, \"d\": 633}", "seed": "16715341295439063161", "semantic_fingerprint": "sha256:0a8ba317728ad2da624b10a5a2475e796ce6afac67ecbdcbf2df7615da719c1c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005099", "prompt": "Evaluate: 94 / (27 / 726) + (-78)", "solution_steps": ["Divide: 27 / 726 = 9/242", "Divide: 94 / (9/242) = 22748/9", "Add: 22748/9 + (-78) = 22046/9"], "final_answer": "22046/9", "answer_type": "rational", "kind": "expression", "math_text": "94 / (27 / 726) + (-78)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 27, \"c\": 726, \"d\": -78}", "seed": "15219573352958849920", "semantic_fingerprint": "sha256:06f5b47703871807c288d3b14e7a6ba307785d940a23def00b31f1f85fe0c859", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005100", "prompt": "What value of x satisfies 3(x - 19) + 123 = 2(x + 33)?", "solution_steps": ["Expand: 3x - 57 + 123 = 2(x + 33)", "Expand: 3x - 57 + 123 = 2x + 66", "Combine constants: 3x + 66 = 2x + 66", "Subtract 2x from both sides: x + 66 = 66", "Subtract 66 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 19) + 123 = 2(x + 33)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 19, \"c\": 2, \"d\": 33, \"f\": 123, \"x\": 0}", "seed": "4600778793409464982", "semantic_fingerprint": "sha256:b05936de28647c9f0594dce93437e2fe2c38f7b699847f5cbc782cb607dfa497", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005101", "prompt": "Compute: -83 + (-9 + 47) + 5 + (-9 - 49)", "solution_steps": ["Add: -9 + 47 = 38", "Add: -83 + 38 = -45", "Add: -45 + 5 = -40", "Subtract: -9 - 49 = -58", "Add: -40 + (-58) = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "expression", "math_text": "-83 + (-9 + 47) + 5 + (-9 - 49)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -9, \"c\": 47, \"d\": 5, \"e\": -9, \"f\": 49}", "seed": "6242053978900233962", "semantic_fingerprint": "sha256:ad07e8474fba25804e9d5a523245996865f2b143bb608253c6dd22dbf1e02c4f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005102", "prompt": "Solve the equation -12x - 875 = -6(x - 2) for x.", "solution_steps": ["Expand: -12x - 875 = -6x + 12", "Add 6x to both sides: -6x - 875 = 12", "Add 875 to both sides: -6x = 887", "Divide both sides by -6: x = -887/6"], "final_answer": "-887/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 875 = -6(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 875, \"c\": -6, \"d\": 2}", "seed": "8285868762183579644", "semantic_fingerprint": "sha256:ec2b0e07e09bb2702e1f32a8b97b57b22c534a7b775574f86792a35eace5a1a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005103", "prompt": "Solve for x: 7(x - 8) + 7 = 12(x + 26)", "solution_steps": ["Expand: 7x - 56 + 7 = 12(x + 26)", "Expand: 7x - 56 + 7 = 12x + 312", "Combine constants: 7x - 49 = 12x + 312", "Subtract 12x from both sides: -5x - 49 = 312", "Add 49 to both sides: -5x = 361", "Divide both sides by -5: x = -361/5"], "final_answer": "-361/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 8) + 7 = 12(x + 26)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 7, \"d\": 12, \"e\": 26}", "seed": "16105900276261784985", "semantic_fingerprint": "sha256:fc978c64d92d0e0603c2874416a8c6336f0017b94bd92be02505b5eed25a171f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005104", "prompt": "Calculate: 8 * (-18 + (-690)) / (-8 - 914)", "solution_steps": ["Add: -18 + (-690) = -708", "Multiply: 8 * (-708) = -5664", "Subtract: -8 - 914 = -922", "Divide: -5664 / (-922) = 2832/461"], "final_answer": "2832/461", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-18 + (-690)) / (-8 - 914)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -18, \"c\": -690, \"d\": -8, \"e\": 914}", "seed": "2475006848836786673", "semantic_fingerprint": "sha256:394dfde6525d1d82ee8e80aa956cc832fadbbf9702cfd402e66798fecb167aeb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005105", "prompt": "What value of x satisfies 7x - 9 = 6x - 1?", "solution_steps": ["Subtract 6x from both sides: x - 9 = -1", "Add 9 to both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 9 = 6x - 1", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 6, \"e\": -1, \"x\": 8}", "seed": "16819344984966256089", "semantic_fingerprint": "sha256:3cc0991694c6e55f73610985563f5a5c4b3b576236336ff0c199e41a9d309216", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005106", "prompt": "What is 42 + (275 - (-1)) + (-573)?", "solution_steps": ["Subtract: 275 - (-1) = 276", "Add: 42 + 276 = 318", "Add: 318 + (-573) = -255"], "final_answer": "-255", "answer_type": "integer", "kind": "expression", "math_text": "42 + (275 - (-1)) + (-573)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 275, \"c\": -1, \"d\": -573}", "seed": "2235224728763972100", "semantic_fingerprint": "sha256:4f22dcddfb342bd2b71f68105f0fc264ca5e23a4a4757ba6e486a8a6e5783a98", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005107", "prompt": "Calculate: -2 / (-3 * (-10 + 4))", "solution_steps": ["Add: -10 + 4 = -6", "Multiply: -3 * (-6) = 18", "Divide: -2 / 18 = -1/9"], "final_answer": "-1/9", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-3 * (-10 + 4))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -3, \"c\": -10, \"d\": 4}", "seed": "3278351442574599125", "semantic_fingerprint": "sha256:f4a03326d703174f87446d3624fe3a1784744355a39ed93e6ece936b13422669", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005108", "prompt": "Evaluate: -231 - 826 / (-4) - 83 / (-9 + (-83))", "solution_steps": ["Divide: 826 / (-4) = -413/2", "Subtract: -231 - (-413/2) = -49/2", "Add: -9 + (-83) = -92", "Divide: 83 / (-92) = -83/92", "Subtract: -49/2 - (-83/92) = -2171/92"], "final_answer": "-2171/92", "answer_type": "rational", "kind": "expression", "math_text": "-231 - 826 / (-4) - 83 / (-9 + (-83))", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -231, \"b\": 826, \"c\": -4, \"d\": 83, \"e\": -9, \"f\": -83}", "seed": "12862585391692838513", "semantic_fingerprint": "sha256:76ed9000b54c6958bee60b21ce20aa4f4767b9e242c4ba30be7b0958bf018d7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005109", "prompt": "Compute: (2 - 0 / 6) / 11 + (-27)", "solution_steps": ["Divide: 0 / 6 = 0", "Subtract: 2 - 0 = 2", "Divide: 2 / 11 = 2/11", "Add: 2/11 + (-27) = -295/11"], "final_answer": "-295/11", "answer_type": "rational", "kind": "expression", "math_text": "(2 - 0 / 6) / 11 + (-27)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": 6, \"d\": 11, \"e\": -27}", "seed": "16907774377245521046", "semantic_fingerprint": "sha256:f82be0e515c0e55d765231947e7e7c71c312fdc88d7c5dc33f0626579deecd82", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005110", "prompt": "Solve the equation 8x - 886 = 9x - 879 for x.", "solution_steps": ["Subtract 9x from both sides: -x - 886 = -879", "Add 886 to both sides: -x = 7", "Divide both sides by -1: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 886 = 9x - 879", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 886, \"c\": 9, \"e\": -879, \"x\": -7}", "seed": "8056687023291481534", "semantic_fingerprint": "sha256:c515e0677f9b7f6bc5cc01262fe7082f5739c8d29981bb7d3e905634cb0d902e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005111", "prompt": "Solve for x: -9x = 3(x + 68) - 384", "solution_steps": ["Expand: -9x = 3x + 204 - 384", "Combine constants: -9x = 3x - 180", "Subtract 3x from both sides: -12x = -180", "Divide both sides by -12: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 3(x + 68) - 384", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 68, \"e\": -384, \"x\": 15}", "seed": "9473727061667883870", "semantic_fingerprint": "sha256:44f1cfb0a25141a9e4ddf72e4d29ac4fea63c0a8959b6e4648ae3691553b9ec3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005112", "prompt": "Find x: -9x - 993 = 11x - 633", "solution_steps": ["Subtract 11x from both sides: -20x - 993 = -633", "Add 993 to both sides: -20x = 360", "Divide both sides by -20: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 993 = 11x - 633", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 993, \"c\": 11, \"e\": -633, \"x\": -18}", "seed": "11558039740476863370", "semantic_fingerprint": "sha256:96156f6008e73320475a08158689b4ada2066cec381c065131a0a35e857b7bce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005113", "prompt": "Calculate: (2 / 490 - 2) * (55 - 7)", "solution_steps": ["Divide: 2 / 490 = 1/245", "Subtract: 1/245 - 2 = -489/245", "Subtract: 55 - 7 = 48", "Multiply: (-489/245) * 48 = -23472/245"], "final_answer": "-23472/245", "answer_type": "rational", "kind": "expression", "math_text": "(2 / 490 - 2) * (55 - 7)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 490, \"c\": 2, \"d\": 55, \"e\": 7}", "seed": "14380190804741133312", "semantic_fingerprint": "sha256:3164d7345c5a20706d1c78a982ce3b554696650ca2d1c2f5cbf569adf1595f49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005114", "prompt": "Solve the equation -5(x + 4) + 95 = x + 87 for x.", "solution_steps": ["Expand: -5x - 20 + 95 = x + 87", "Combine constants: -5x + 75 = x + 87", "Subtract x from both sides: -6x + 75 = 87", "Subtract 75 from both sides: -6x = 12", "Divide both sides by -6: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 4) + 95 = x + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 95, \"e\": 87, \"x\": -2}", "seed": "10539154641021922010", "semantic_fingerprint": "sha256:d80c615b068000b4dd16424b0589e543cd2000be7ca5de75e5f04b2e58738473", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005115", "prompt": "What is 0 * 12 / (-1 * (-4 + 17 * 43))?", "solution_steps": ["Multiply: 0 * 12 = 0", "Multiply: 17 * 43 = 731", "Add: -4 + 731 = 727", "Multiply: -1 * 727 = -727", "Divide: 0 / (-727) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 12 / (-1 * (-4 + 17 * 43))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (* n (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 12, \"c\": -1, \"d\": -4, \"e\": 17, \"f\": 43}", "seed": "14846495921390729578", "semantic_fingerprint": "sha256:dcfca26ea69e60115d2843e4553baec3e111e068eaaa555694e00fb4cc099412", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005116", "prompt": "Solve for x: -5x - 96 = 12x - 419", "solution_steps": ["Subtract 12x from both sides: -17x - 96 = -419", "Add 96 to both sides: -17x = -323", "Divide both sides by -17: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 96 = 12x - 419", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 96, \"c\": 12, \"e\": -419, \"x\": 19}", "seed": "12509527065963566950", "semantic_fingerprint": "sha256:8a6a38d75f034a854d46936a2d316a5371f42f6a7e1ec508cdfa658b50d1d3e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005117", "prompt": "What value of x satisfies -11(x + 16) + 525 = x + 541?", "solution_steps": ["Expand: -11x - 176 + 525 = x + 541", "Combine constants: -11x + 349 = x + 541", "Subtract x from both sides: -12x + 349 = 541", "Subtract 349 from both sides: -12x = 192", "Divide both sides by -12: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 16) + 525 = x + 541", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 16, \"c\": 525, \"e\": 541, \"x\": -16}", "seed": "12865250181841905127", "semantic_fingerprint": "sha256:f16f58c753acdebea2ba4ff3ce46b94dc7bc0430f45ec47f03be325ef619962f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005118", "prompt": "What value of x satisfies -6(x + 9) = 7(x - 3) + 71?", "solution_steps": ["Expand: -6x - 54 = 7(x - 3) + 71", "Expand: -6x - 54 = 7x - 21 + 71", "Combine constants: -6x - 54 = 7x + 50", "Subtract 7x from both sides: -13x - 54 = 50", "Add 54 to both sides: -13x = 104", "Divide both sides by -13: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 9) = 7(x - 3) + 71", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 7, \"d\": 3, \"f\": 71, \"x\": -8}", "seed": "1130397567088435371", "semantic_fingerprint": "sha256:13686b0fc7e0b5bb5e1a1685320f86e756bef26f42a740b42183974a7a4daec8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005119", "prompt": "Find x: 12(x - 6) + 180 = 10(x + 8)", "solution_steps": ["Expand: 12x - 72 + 180 = 10(x + 8)", "Expand: 12x - 72 + 180 = 10x + 80", "Combine constants: 12x + 108 = 10x + 80", "Subtract 10x from both sides: 2x + 108 = 80", "Subtract 108 from both sides: 2x = -28", "Divide both sides by 2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 6) + 180 = 10(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 10, \"d\": 8, \"f\": 180, \"x\": -14}", "seed": "10200562755621386033", "semantic_fingerprint": "sha256:ebe725261db86afc8dbd6edf53a80d7df06922689004e43cf387ba97886092c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005120", "prompt": "Calculate: (37 + 398 / 1 * (-40)) / 7", "solution_steps": ["Divide: 398 / 1 = 398", "Multiply: 398 * (-40) = -15920", "Add: 37 + (-15920) = -15883", "Divide: -15883 / 7 = -2269"], "final_answer": "-2269", "answer_type": "integer", "kind": "expression", "math_text": "(37 + 398 / 1 * (-40)) / 7", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 398, \"c\": 1, \"d\": -40, \"e\": 7}", "seed": "14077096817636401500", "semantic_fingerprint": "sha256:616bca7a1f56288c67ebaadae0e4fc06dc073bf77fc1a3fa3e9dc04529b5f080", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005121", "prompt": "What value of x satisfies 3(x + 40) - 94 = x + 24?", "solution_steps": ["Expand: 3x + 120 - 94 = x + 24", "Combine constants: 3x + 26 = x + 24", "Subtract x from both sides: 2x + 26 = 24", "Subtract 26 from both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 40) - 94 = x + 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 40, \"c\": 94, \"e\": 24, \"x\": -1}", "seed": "17686908167881055855", "semantic_fingerprint": "sha256:f247de6b64f04f2bdc3e21055c7f2fb13f5118e53b0ef822e20950fa14266176", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005122", "prompt": "What is -9 - (-997) * (-691 + 32 - 96)?", "solution_steps": ["Add: -691 + 32 = -659", "Subtract: -659 - 96 = -755", "Multiply: -997 * (-755) = 752735", "Subtract: -9 - 752735 = -752744"], "final_answer": "-752744", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-997) * (-691 + 32 - 96)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (- (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -997, \"c\": -691, \"d\": 32, \"e\": 96}", "seed": "5122108029488599882", "semantic_fingerprint": "sha256:a1a12800999e4c34e16e89f27e1cbe54abd4e5d56bb988d0e5bd83ccdf638f54", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005123", "prompt": "Evaluate: -2 / (60 - (-4)) * (-190 / 1 * 86)", "solution_steps": ["Subtract: 60 - (-4) = 64", "Divide: -2 / 64 = -1/32", "Divide: -190 / 1 = -190", "Multiply: -190 * 86 = -16340", "Multiply: (-1/32) * (-16340) = 4085/8"], "final_answer": "4085/8", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (60 - (-4)) * (-190 / 1 * 86)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n n)) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 60, \"c\": -4, \"d\": -190, \"e\": 1, \"f\": 86}", "seed": "10676412237535886676", "semantic_fingerprint": "sha256:8fe5dc9308a9eab78c5bb9c9a4f6d53def163b44f38625e0321cd8627c6c2e35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005124", "prompt": "Calculate: (-93 - 101) / (-93) - 34 / (-6 * 55)", "solution_steps": ["Subtract: -93 - 101 = -194", "Divide: -194 / (-93) = 194/93", "Multiply: -6 * 55 = -330", "Divide: 34 / (-330) = -17/165", "Subtract: 194/93 - (-17/165) = 11197/5115"], "final_answer": "11197/5115", "answer_type": "rational", "kind": "expression", "math_text": "(-93 - 101) / (-93) - 34 / (-6 * 55)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) n) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 101, \"c\": -93, \"d\": 34, \"e\": -6, \"f\": 55}", "seed": "2703314765033592132", "semantic_fingerprint": "sha256:b2b119dad3a7e7146e12de3f40e57685db3eef355fa052ea601a52bd1b4fd3f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005125", "prompt": "Find x: 9(x - 27) + 307 = 8(x + 9)", "solution_steps": ["Expand: 9x - 243 + 307 = 8(x + 9)", "Expand: 9x - 243 + 307 = 8x + 72", "Combine constants: 9x + 64 = 8x + 72", "Subtract 8x from both sides: x + 64 = 72", "Subtract 64 from both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 27) + 307 = 8(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 27, \"c\": 8, \"d\": 9, \"f\": 307, \"x\": 8}", "seed": "12109304365005854326", "semantic_fingerprint": "sha256:b891bde6551d0cb752b103e80752b31654c3435bdd91efa9d17cfd3de45f06ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005126", "prompt": "Solve for x: -12x - 436 = 3x - 196", "solution_steps": ["Subtract 3x from both sides: -15x - 436 = -196", "Add 436 to both sides: -15x = 240", "Divide both sides by -15: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 436 = 3x - 196", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 436, \"c\": 3, \"e\": -196, \"x\": -16}", "seed": "583383937805295168", "semantic_fingerprint": "sha256:aaf7bcf329f34c25f3ae25f7a9ca1739c1e53233b0a986fe264a1fca788aa6ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005127", "prompt": "What is 5 * (87 + 8 * (-415))?", "solution_steps": ["Multiply: 8 * (-415) = -3320", "Add: 87 + (-3320) = -3233", "Multiply: 5 * (-3233) = -16165"], "final_answer": "-16165", "answer_type": "integer", "kind": "expression", "math_text": "5 * (87 + 8 * (-415))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 87, \"c\": 8, \"d\": -415}", "seed": "5768897066177003097", "semantic_fingerprint": "sha256:a0345def00184508e4a694de2ed32ac656209c8fceb0eb754615c3b84e75532b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005128", "prompt": "Evaluate: 4 / (76 - (-4)) - (9 - (-4))", "solution_steps": ["Subtract: 76 - (-4) = 80", "Divide: 4 / 80 = 1/20", "Subtract: 9 - (-4) = 13", "Subtract: 1/20 - 13 = -259/20"], "final_answer": "-259/20", "answer_type": "rational", "kind": "expression", "math_text": "4 / (76 - (-4)) - (9 - (-4))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 76, \"c\": -4, \"d\": 9, \"e\": -4}", "seed": "8473645509510269524", "semantic_fingerprint": "sha256:371f2fd9fd943b4df5e52ff7cc94903952e60481d320a6bf2f508c0e84397c2b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005129", "prompt": "Evaluate: -43 * 4 + (-8) + (124 - 31)", "solution_steps": ["Multiply: -43 * 4 = -172", "Add: -172 + (-8) = -180", "Subtract: 124 - 31 = 93", "Add: -180 + 93 = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-43 * 4 + (-8) + (124 - 31)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 4, \"c\": -8, \"d\": 124, \"e\": 31}", "seed": "15591457140764348771", "semantic_fingerprint": "sha256:bb5f2f2cd258e43ca1b56487cf6dd907aaf1a89139195cdd5c7f37f650d272c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005130", "prompt": "What is 0 - (-750) + 960 / (-95 - (-2))?", "solution_steps": ["Subtract: 0 - (-750) = 750", "Subtract: -95 - (-2) = -93", "Divide: 960 / (-93) = -320/31", "Add: 750 + (-320/31) = 22930/31"], "final_answer": "22930/31", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-750) + 960 / (-95 - (-2))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -750, \"c\": 960, \"d\": -95, \"e\": -2}", "seed": "5391371010828544149", "semantic_fingerprint": "sha256:f7e682c172e25c34f075ecb2bb3d6816abedca4f6f4b1304821950a979fe88dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005131", "prompt": "What is 6 + (-659) + (4 - (-9) - (-124))?", "solution_steps": ["Add: 6 + (-659) = -653", "Subtract: 4 - (-9) = 13", "Subtract: 13 - (-124) = 137", "Add: -653 + 137 = -516"], "final_answer": "-516", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-659) + (4 - (-9) - (-124))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -659, \"c\": 4, \"d\": -9, \"e\": -124}", "seed": "14756540859736477388", "semantic_fingerprint": "sha256:87b81d959ed5880d5771e83265d0e02c1077613c0334ddcbf6b50b3744171a30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005132", "prompt": "Find x: 3x - 284 = 7(x - 52)", "solution_steps": ["Expand: 3x - 284 = 7x - 364", "Subtract 7x from both sides: -4x - 284 = -364", "Add 284 to both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 284 = 7(x - 52)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 52, \"e\": -284, \"x\": 20}", "seed": "2078893442812666112", "semantic_fingerprint": "sha256:2ad01a73fe20bf3f2f95eb43640affb5e3307f30f4bee812cd1871e25250ff91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005133", "prompt": "What value of x satisfies -6(x + 6) = 2(x - 2) + 8?", "solution_steps": ["Expand: -6x - 36 = 2(x - 2) + 8", "Expand: -6x - 36 = 2x - 4 + 8", "Combine constants: -6x - 36 = 2x + 4", "Subtract 2x from both sides: -8x - 36 = 4", "Add 36 to both sides: -8x = 40", "Divide both sides by -8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 6) = 2(x - 2) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 2, \"d\": 2, \"f\": 8, \"x\": -5}", "seed": "10458085920398678620", "semantic_fingerprint": "sha256:1dd3d2c074bab5aa40ec38d0112be63523a4a0a6d3c8b293129672da290a2bbe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005134", "prompt": "Find x: 10x = 5(x + 49) + 3", "solution_steps": ["Expand: 10x = 5x + 245 + 3", "Combine constants: 10x = 5x + 248", "Subtract 5x from both sides: 5x = 248", "Divide both sides by 5: x = 248/5"], "final_answer": "248/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 5(x + 49) + 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 49, \"d\": 3}", "seed": "4843927170874704932", "semantic_fingerprint": "sha256:3395854c6cb74152cb113e7d1085f3164f87258b7fc7f195ace2e57321b5fc40", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005135", "prompt": "Solve for x: 11(x + 34) - 7 = x + 567", "solution_steps": ["Expand: 11x + 374 - 7 = x + 567", "Combine constants: 11x + 367 = x + 567", "Subtract x from both sides: 10x + 367 = 567", "Subtract 367 from both sides: 10x = 200", "Divide both sides by 10: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 34) - 7 = x + 567", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 34, \"c\": 7, \"e\": 567, \"x\": 20}", "seed": "1697589887667630255", "semantic_fingerprint": "sha256:0d113991efc70643e29e91e5f75b343e9ba870ce29e52ecf89269acecdd4e772", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005136", "prompt": "What is (67 - (-193) + 60) / 6 * (-98)?", "solution_steps": ["Subtract: 67 - (-193) = 260", "Add: 260 + 60 = 320", "Divide: 320 / 6 = 160/3", "Multiply: (160/3) * (-98) = -15680/3"], "final_answer": "-15680/3", "answer_type": "rational", "kind": "expression", "math_text": "(67 - (-193) + 60) / 6 * (-98)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -193, \"c\": 60, \"d\": 6, \"e\": -98}", "seed": "751468006190355982", "semantic_fingerprint": "sha256:a9e1394bf429769d21f06208e472af548fe707e0f4b0e69a5ccff2eb3235ccf2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005137", "prompt": "Solve the equation 12x - 3 = -2x - 129 for x.", "solution_steps": ["Add 2x to both sides: 14x - 3 = -129", "Add 3 to both sides: 14x = -126", "Divide both sides by 14: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 3 = -2x - 129", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": -2, \"e\": -129, \"x\": -9}", "seed": "4942238722293796564", "semantic_fingerprint": "sha256:5c6d0921c9275130582f84d97f053745c60b9389f8abb7d7292dc5e4eeb0d621", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005138", "prompt": "What value of x satisfies 5x - 91 = 8(x - 8)?", "solution_steps": ["Expand: 5x - 91 = 8x - 64", "Subtract 8x from both sides: -3x - 91 = -64", "Add 91 to both sides: -3x = 27", "Divide both sides by -3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 91 = 8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 8, \"e\": -91, \"x\": -9}", "seed": "2835725837363531986", "semantic_fingerprint": "sha256:d54210e13abccd57fdd5e175f2e2dcab6edd001f962811f955a62e4627080609", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005139", "prompt": "Compute: (8 + (-1)) / ((-3 - (0 + (-535))) * (-5))", "solution_steps": ["Add: 8 + (-1) = 7", "Add: 0 + (-535) = -535", "Subtract: -3 - (-535) = 532", "Multiply: 532 * (-5) = -2660", "Divide: 7 / (-2660) = -1/380"], "final_answer": "-1/380", "answer_type": "rational", "kind": "expression", "math_text": "(8 + (-1)) / ((-3 - (0 + (-535))) * (-5))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (* (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -1, \"c\": -3, \"d\": 0, \"e\": -535, \"f\": -5}", "seed": "9155546902177787365", "semantic_fingerprint": "sha256:280ca98e77e6587ba12edc93db0ab1b95dfe78936675a3af782b6082934bce92", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005140", "prompt": "What is 257 * (-94) * (-12 / 33)?", "solution_steps": ["Multiply: 257 * (-94) = -24158", "Divide: -12 / 33 = -4/11", "Multiply: -24158 * (-4/11) = 96632/11"], "final_answer": "96632/11", "answer_type": "rational", "kind": "expression", "math_text": "257 * (-94) * (-12 / 33)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 257, \"b\": -94, \"c\": -12, \"d\": 33}", "seed": "16375045214981351918", "semantic_fingerprint": "sha256:50f830e30217d1ea1eeee0c6ee7ce2dfbd142dc00e34cc5a8f8432323cc9a612", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005141", "prompt": "Evaluate: (2 - (-58) - (-17)) * (-71)", "solution_steps": ["Subtract: 2 - (-58) = 60", "Subtract: 60 - (-17) = 77", "Multiply: 77 * (-71) = -5467"], "final_answer": "-5467", "answer_type": "integer", "kind": "expression", "math_text": "(2 - (-58) - (-17)) * (-71)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -58, \"c\": -17, \"d\": -71}", "seed": "10114219361902648992", "semantic_fingerprint": "sha256:85b5f4b9da1423c36b87e967093d567fe0ca46c35c27712a5a514f7597beb071", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005142", "prompt": "Calculate: 943 + (-611 - 87 / (-221) - (-80) - 89)", "solution_steps": ["Divide: 87 / (-221) = -87/221", "Subtract: -611 - (-87/221) = -134944/221", "Subtract: -134944/221 - (-80) = -117264/221", "Subtract: -117264/221 - 89 = -136933/221", "Add: 943 + (-136933/221) = 71470/221"], "final_answer": "71470/221", "answer_type": "rational", "kind": "expression", "math_text": "943 + (-611 - 87 / (-221) - (-80) - 89)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- (- n (/ n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 943, \"b\": -611, \"c\": 87, \"d\": -221, \"e\": -80, \"f\": 89}", "seed": "7575697735411751980", "semantic_fingerprint": "sha256:933e0608c1fe09a107c0a1e25424f51a75bda3fc6eaf43220d54e6a06c2d4cee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005143", "prompt": "Compute: 396 * (-9) + (-29) * 6", "solution_steps": ["Multiply: 396 * (-9) = -3564", "Multiply: -29 * 6 = -174", "Add: -3564 + (-174) = -3738"], "final_answer": "-3738", "answer_type": "integer", "kind": "expression", "math_text": "396 * (-9) + (-29) * 6", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 396, \"b\": -9, \"c\": -29, \"d\": 6}", "seed": "3172340409411616247", "semantic_fingerprint": "sha256:cc56da6951ff72850a6814e38f7b168e4d584cd834af7aa69d7b198f7604f426", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005144", "prompt": "Solve for x: -6x - 95 = -3x - 38", "solution_steps": ["Add 3x to both sides: -3x - 95 = -38", "Add 95 to both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 95 = -3x - 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 95, \"c\": -3, \"e\": -38, \"x\": -19}", "seed": "15915002186330245801", "semantic_fingerprint": "sha256:d28d021a2341fa9baa865d154c49c4603841869e08846971bd7dc1919585f5ab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005145", "prompt": "Solve for x: 8(x - 68) + 7 = 10(x + 7)", "solution_steps": ["Expand: 8x - 544 + 7 = 10(x + 7)", "Expand: 8x - 544 + 7 = 10x + 70", "Combine constants: 8x - 537 = 10x + 70", "Subtract 10x from both sides: -2x - 537 = 70", "Add 537 to both sides: -2x = 607", "Divide both sides by -2: x = -607/2"], "final_answer": "-607/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 68) + 7 = 10(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 68, \"c\": 7, \"d\": 10, \"e\": 7}", "seed": "12095968407541512483", "semantic_fingerprint": "sha256:874f24855256b6ff1b0fc341404e6601af9324bea04dcbec9a5a45020374a141", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005146", "prompt": "Find x: 6x - 285 = 3(x - 82)", "solution_steps": ["Expand: 6x - 285 = 3x - 246", "Subtract 3x from both sides: 3x - 285 = -246", "Add 285 to both sides: 3x = 39", "Divide both sides by 3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 285 = 3(x - 82)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 82, \"e\": -285, \"x\": 13}", "seed": "15531954021043983078", "semantic_fingerprint": "sha256:e1e1fb8805c5794cb6e45c12a2d735bf13b5d6c07c0f0bf8b0578ff56887c114", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005147", "prompt": "Find x: 7(x + 7) + 8 = x + 45", "solution_steps": ["Expand: 7x + 49 + 8 = x + 45", "Combine constants: 7x + 57 = x + 45", "Subtract x from both sides: 6x + 57 = 45", "Subtract 57 from both sides: 6x = -12", "Divide both sides by 6: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) + 8 = x + 45", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 8, \"e\": 45, \"x\": -2}", "seed": "1661622220935726313", "semantic_fingerprint": "sha256:0160fcd5dbc80d49cc018a9bd48f36fd0e4deda89c98e4d33d4eee94a63aa6dc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005148", "prompt": "Calculate: 29 * (-89 - 7) + 165 * (-1)", "solution_steps": ["Subtract: -89 - 7 = -96", "Multiply: 29 * (-96) = -2784", "Multiply: 165 * (-1) = -165", "Add: -2784 + (-165) = -2949"], "final_answer": "-2949", "answer_type": "integer", "kind": "expression", "math_text": "29 * (-89 - 7) + 165 * (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -89, \"c\": 7, \"d\": 165, \"e\": -1}", "seed": "10351871260838769064", "semantic_fingerprint": "sha256:c1ead2d5ac18bf83491e611badb0960afb61555ccf8c66d5984f735274ca7d0c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005149", "prompt": "Solve for x: -5(x + 26) = 10(x - 47) + 9", "solution_steps": ["Expand: -5x - 130 = 10(x - 47) + 9", "Expand: -5x - 130 = 10x - 470 + 9", "Combine constants: -5x - 130 = 10x - 461", "Subtract 10x from both sides: -15x - 130 = -461", "Add 130 to both sides: -15x = -331", "Divide both sides by -15: x = 331/15"], "final_answer": "331/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 26) = 10(x - 47) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 26, \"c\": 10, \"d\": 47, \"e\": 9}", "seed": "17223056876003240942", "semantic_fingerprint": "sha256:a7f981ceb27d182cd28b47442aaec91e8eae7a502914dc2bc767adf36cdb9923", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005150", "prompt": "What is 7 - (-16) - (69 - 7) - (-4 - 8)?", "solution_steps": ["Subtract: 7 - (-16) = 23", "Subtract: 69 - 7 = 62", "Subtract: 23 - 62 = -39", "Subtract: -4 - 8 = -12", "Subtract: -39 - (-12) = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-16) - (69 - 7) - (-4 - 8)", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -16, \"c\": 69, \"d\": 7, \"e\": -4, \"f\": 8}", "seed": "17629717400299188247", "semantic_fingerprint": "sha256:f1473ec7ef36dd3e8c8d9ef42f6898c5e948efc8e2cbe6dcd300219943c6a725", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005151", "prompt": "Solve for x: 12x - 98 = -3(x - 665)", "solution_steps": ["Expand: 12x - 98 = -3x + 1995", "Add 3x to both sides: 15x - 98 = 1995", "Add 98 to both sides: 15x = 2093", "Divide both sides by 15: x = 2093/15"], "final_answer": "2093/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 98 = -3(x - 665)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 98, \"c\": -3, \"d\": 665}", "seed": "7311104019346101014", "semantic_fingerprint": "sha256:b051156b0f3f78913b9a3bf39adab49557d68a720e8b3ed7e2233134e145a8a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005152", "prompt": "Solve for x: 2x - 705 = 7x - 615", "solution_steps": ["Subtract 7x from both sides: -5x - 705 = -615", "Add 705 to both sides: -5x = 90", "Divide both sides by -5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 705 = 7x - 615", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 705, \"c\": 7, \"e\": -615, \"x\": -18}", "seed": "15079014016040178910", "semantic_fingerprint": "sha256:fd0e7b50a1169bb87b3ae14a46fcd2e76eaa1e0c37eddae3989bfa6a31f5e37b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005153", "prompt": "What is (62 + 67 + (633 - (-99))) / 52 - (-82)?", "solution_steps": ["Add: 62 + 67 = 129", "Subtract: 633 - (-99) = 732", "Add: 129 + 732 = 861", "Divide: 861 / 52 = 861/52", "Subtract: 861/52 - (-82) = 5125/52"], "final_answer": "5125/52", "answer_type": "rational", "kind": "expression", "math_text": "(62 + 67 + (633 - (-99))) / 52 - (-82)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ (+ n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 67, \"c\": 633, \"d\": -99, \"e\": 52, \"f\": -82}", "seed": "17918173468841388464", "semantic_fingerprint": "sha256:8d4ea55f2d10cd278457232dd60a996a67093c148bc87aae8d917f3745cacc3f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005154", "prompt": "Solve for x: 2(x + 91) + 50 = x + 16", "solution_steps": ["Expand: 2x + 182 + 50 = x + 16", "Combine constants: 2x + 232 = x + 16", "Subtract x from both sides: x + 232 = 16", "Subtract 232 from both sides: x = -216"], "final_answer": "-216", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 91) + 50 = x + 16", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 91, \"c\": 50, \"d\": 16}", "seed": "6284466770770900400", "semantic_fingerprint": "sha256:c0e0e6dc72aadc71e8858c9289420d106fd78857fa0389a2b3c7e68db14a13cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005155", "prompt": "What is 6 / (21 + (-5)) - (-751) / 401?", "solution_steps": ["Add: 21 + (-5) = 16", "Divide: 6 / 16 = 3/8", "Divide: -751 / 401 = -751/401", "Subtract: 3/8 - (-751/401) = 7211/3208"], "final_answer": "7211/3208", "answer_type": "rational", "kind": "expression", "math_text": "6 / (21 + (-5)) - (-751) / 401", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 21, \"c\": -5, \"d\": -751, \"e\": 401}", "seed": "13522812961038523521", "semantic_fingerprint": "sha256:54038b943c04b5fe4fbf5bf1346845f8e0067ab5aa793d3195d65e447ecd79c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005156", "prompt": "Evaluate: 90 * (-8 - (5 + (-86)) + 669)", "solution_steps": ["Add: 5 + (-86) = -81", "Subtract: -8 - (-81) = 73", "Add: 73 + 669 = 742", "Multiply: 90 * 742 = 66780"], "final_answer": "66780", "answer_type": "integer", "kind": "expression", "math_text": "90 * (-8 - (5 + (-86)) + 669)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -8, \"c\": 5, \"d\": -86, \"e\": 669}", "seed": "9699665528406228580", "semantic_fingerprint": "sha256:f202bfa6f70dea0c317e000f56136214694f9d117bbe422d5c31688612bb674c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005157", "prompt": "Find x: 3x = 9(x + 17) - 141", "solution_steps": ["Expand: 3x = 9x + 153 - 141", "Combine constants: 3x = 9x + 12", "Subtract 9x from both sides: -6x = 12", "Divide both sides by -6: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 9(x + 17) - 141", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 17, \"e\": -141, \"x\": -2}", "seed": "11183743655090117418", "semantic_fingerprint": "sha256:f870e22195a6095467d2266b86399c46aac8a66a2d795b8c7f680248b798ad40", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005158", "prompt": "What is (28 + 5) / (0 - 8 / (-9))?", "solution_steps": ["Add: 28 + 5 = 33", "Divide: 8 / (-9) = -8/9", "Subtract: 0 - (-8/9) = 8/9", "Divide: 33 / (8/9) = 297/8"], "final_answer": "297/8", "answer_type": "rational", "kind": "expression", "math_text": "(28 + 5) / (0 - 8 / (-9))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 5, \"c\": 0, \"d\": 8, \"e\": -9}", "seed": "9721450293244620470", "semantic_fingerprint": "sha256:3c12ad56fa475a386852d247245e2075f47fa9f8e6b926b264b0b8482eab8fce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005159", "prompt": "Evaluate: 67 + (30 - (63 + 1))", "solution_steps": ["Add: 63 + 1 = 64", "Subtract: 30 - 64 = -34", "Add: 67 + (-34) = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "67 + (30 - (63 + 1))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 30, \"c\": 63, \"d\": 1}", "seed": "11004515314138216580", "semantic_fingerprint": "sha256:41ce4170c277ab9a8c68222212252fab24caa30b023330cde9ea2eac62f6e1aa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005160", "prompt": "What is 3 * (1 + (-44)) + (-4 + 7)?", "solution_steps": ["Add: 1 + (-44) = -43", "Multiply: 3 * (-43) = -129", "Add: -4 + 7 = 3", "Add: -129 + 3 = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "expression", "math_text": "3 * (1 + (-44)) + (-4 + 7)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": -44, \"d\": -4, \"e\": 7}", "seed": "10332751364415513876", "semantic_fingerprint": "sha256:6d6bd7859436a8df20426f59d8423b547e67c971a0bfb4243f5c0fbcaa6c9056", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005161", "prompt": "Calculate: (-7 - 85 - (-7)) * 84", "solution_steps": ["Subtract: -7 - 85 = -92", "Subtract: -92 - (-7) = -85", "Multiply: -85 * 84 = -7140"], "final_answer": "-7140", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - 85 - (-7)) * 84", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 85, \"c\": -7, \"d\": 84}", "seed": "5417490353331628047", "semantic_fingerprint": "sha256:ac9185fd0e5f2370d0453d3068058cd91109aaf7a1d4ab11914bbd31b0e4bcf9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005162", "prompt": "Calculate: 0 / 159 + (-26 * (-1) - (-6 + (-50)))", "solution_steps": ["Divide: 0 / 159 = 0", "Multiply: -26 * (-1) = 26", "Add: -6 + (-50) = -56", "Subtract: 26 - (-56) = 82", "Add: 0 + 82 = 82"], "final_answer": "82", "answer_type": "integer", "kind": "expression", "math_text": "0 / 159 + (-26 * (-1) - (-6 + (-50)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 159, \"c\": -26, \"d\": -1, \"e\": -6, \"f\": -50}", "seed": "3906883795165661148", "semantic_fingerprint": "sha256:a50f672070471a7f7f7d9da7a098bb7c6467d2330f493263703f24af9381f943", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005163", "prompt": "Find x: 7(x + 5) + 51 = x + 116", "solution_steps": ["Expand: 7x + 35 + 51 = x + 116", "Combine constants: 7x + 86 = x + 116", "Subtract x from both sides: 6x + 86 = 116", "Subtract 86 from both sides: 6x = 30", "Divide both sides by 6: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 5) + 51 = x + 116", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 51, \"e\": 116, \"x\": 5}", "seed": "11209832544816773226", "semantic_fingerprint": "sha256:97b8dcc91deab09eb035d1b15accf5196b490ef17447f53106a029f8cf38c380", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005164", "prompt": "What is -45 * 3 + (-40 - (-4))?", "solution_steps": ["Multiply: -45 * 3 = -135", "Subtract: -40 - (-4) = -36", "Add: -135 + (-36) = -171"], "final_answer": "-171", "answer_type": "integer", "kind": "expression", "math_text": "-45 * 3 + (-40 - (-4))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 3, \"c\": -40, \"d\": -4}", "seed": "864056332425240373", "semantic_fingerprint": "sha256:3c0d6e6ddc53d03115ed14fead9cb967774b7a8169264042cca60f7600fb6beb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005165", "prompt": "What is (65 + (-76 + (-29))) * (-9 + (-643) + 4)?", "solution_steps": ["Add: -76 + (-29) = -105", "Add: 65 + (-105) = -40", "Add: -9 + (-643) = -652", "Add: -652 + 4 = -648", "Multiply: -40 * (-648) = 25920"], "final_answer": "25920", "answer_type": "integer", "kind": "expression", "math_text": "(65 + (-76 + (-29))) * (-9 + (-643) + 4)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -76, \"c\": -29, \"d\": -9, \"e\": -643, \"f\": 4}", "seed": "18169833746041256272", "semantic_fingerprint": "sha256:260ed154b2584f5598efd3baf4c584ebb356b94aad7b1bac77f5c93358ef336b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005166", "prompt": "Solve the equation 12(x + 16) + 8 = x + 2 for x.", "solution_steps": ["Expand: 12x + 192 + 8 = x + 2", "Combine constants: 12x + 200 = x + 2", "Subtract x from both sides: 11x + 200 = 2", "Subtract 200 from both sides: 11x = -198", "Divide both sides by 11: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 16) + 8 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 16, \"c\": 8, \"e\": 2, \"x\": -18}", "seed": "17773005984533399650", "semantic_fingerprint": "sha256:7cb3234ba7dfe60a31c5812813d608549cc425291763722698ddb291a67d53a1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005167", "prompt": "Calculate: 1 + (-48 * (62 + 230) + (-193))", "solution_steps": ["Add: 62 + 230 = 292", "Multiply: -48 * 292 = -14016", "Add: -14016 + (-193) = -14209", "Add: 1 + (-14209) = -14208"], "final_answer": "-14208", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-48 * (62 + 230) + (-193))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -48, \"c\": 62, \"d\": 230, \"e\": -193}", "seed": "9161626268113582114", "semantic_fingerprint": "sha256:adbcd3f6bfe51129b9f2bf206cefd777789100423f439e5332f85c49b6ba1cbb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005168", "prompt": "What is (7 - (-89)) / 60 + (6 + (-6))?", "solution_steps": ["Subtract: 7 - (-89) = 96", "Divide: 96 / 60 = 8/5", "Add: 6 + (-6) = 0", "Add: 8/5 + 0 = 8/5"], "final_answer": "8/5", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-89)) / 60 + (6 + (-6))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -89, \"c\": 60, \"d\": 6, \"e\": -6}", "seed": "12376162354993355632", "semantic_fingerprint": "sha256:3b68cf7d870a1322ec9126299ad80a977fd8967dc7d269ecf7681812983e8be9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005169", "prompt": "Find x: 3x = -2(x + 97) + 119", "solution_steps": ["Expand: 3x = -2x - 194 + 119", "Combine constants: 3x = -2x - 75", "Add 2x to both sides: 5x = -75", "Divide both sides by 5: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -2(x + 97) + 119", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 97, \"e\": 119, \"x\": -15}", "seed": "15875714719833552665", "semantic_fingerprint": "sha256:c0a1f8db4d25832292ac84f13ca55488c77d73de892478306f78e29d40432db3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005170", "prompt": "What is (2 + (52 / (-385) - 4)) * (-78 + (-55))?", "solution_steps": ["Divide: 52 / (-385) = -52/385", "Subtract: -52/385 - 4 = -1592/385", "Add: 2 + (-1592/385) = -822/385", "Add: -78 + (-55) = -133", "Multiply: (-822/385) * (-133) = 15618/55"], "final_answer": "15618/55", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (52 / (-385) - 4)) * (-78 + (-55))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- (/ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 52, \"c\": -385, \"d\": 4, \"e\": -78, \"f\": -55}", "seed": "4741642902545758685", "semantic_fingerprint": "sha256:35c22c24770c9697d156d3b2ce92260b420ef1025f393744cd42ff31394030a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005171", "prompt": "Evaluate: ((-212 - (-7)) * 77 - 0) * 1", "solution_steps": ["Subtract: -212 - (-7) = -205", "Multiply: -205 * 77 = -15785", "Subtract: -15785 - 0 = -15785", "Multiply: -15785 * 1 = -15785"], "final_answer": "-15785", "answer_type": "integer", "kind": "expression", "math_text": "((-212 - (-7)) * 77 - 0) * 1", "variable": null, "family": "expression_4op", "shape": "(* (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -212, \"b\": -7, \"c\": 77, \"d\": 0, \"e\": 1}", "seed": "12629297756083244248", "semantic_fingerprint": "sha256:2c37db9339b2c42061bb7362d008651cef119e401a7fc0089f266ff3365eacd4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005172", "prompt": "Compute: (20 - (4 + 70)) * (-8) - (-29) * 4", "solution_steps": ["Add: 4 + 70 = 74", "Subtract: 20 - 74 = -54", "Multiply: -54 * (-8) = 432", "Multiply: -29 * 4 = -116", "Subtract: 432 - (-116) = 548"], "final_answer": "548", "answer_type": "integer", "kind": "expression", "math_text": "(20 - (4 + 70)) * (-8) - (-29) * 4", "variable": null, "family": "expression_5op", "shape": "(- (* (- n (+ n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 4, \"c\": 70, \"d\": -8, \"e\": -29, \"f\": 4}", "seed": "18165335029571364837", "semantic_fingerprint": "sha256:d45b915a09275a4e80aefca8ac60ebdab09cc33acb8530706f55bee8739b2c7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005173", "prompt": "Calculate: -243 * (-44) * (126 / (-61 - (-55)))", "solution_steps": ["Multiply: -243 * (-44) = 10692", "Subtract: -61 - (-55) = -6", "Divide: 126 / (-6) = -21", "Multiply: 10692 * (-21) = -224532"], "final_answer": "-224532", "answer_type": "integer", "kind": "expression", "math_text": "-243 * (-44) * (126 / (-61 - (-55)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -243, \"b\": -44, \"c\": 126, \"d\": -61, \"e\": -55}", "seed": "17488105975807301143", "semantic_fingerprint": "sha256:de73c47ad21159f1996017ddb4e9ce4b91f7fa21ca666a4d3379c5168c9a4b2d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005174", "prompt": "Solve the equation 6(x + 59) = 3(x - 4) + 360 for x.", "solution_steps": ["Expand: 6x + 354 = 3(x - 4) + 360", "Expand: 6x + 354 = 3x - 12 + 360", "Combine constants: 6x + 354 = 3x + 348", "Subtract 3x from both sides: 3x + 354 = 348", "Subtract 354 from both sides: 3x = -6", "Divide both sides by 3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 59) = 3(x - 4) + 360", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 59, \"c\": 3, \"d\": 4, \"f\": 360, \"x\": -2}", "seed": "17646384789340994160", "semantic_fingerprint": "sha256:61feb4c3ee19165c8bc0286682f0acdbe365b512cd3a622f68e2289a97ccd9f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005175", "prompt": "What value of x satisfies 2(x + 79) = 7(x - 65) + 523?", "solution_steps": ["Expand: 2x + 158 = 7(x - 65) + 523", "Expand: 2x + 158 = 7x - 455 + 523", "Combine constants: 2x + 158 = 7x + 68", "Subtract 7x from both sides: -5x + 158 = 68", "Subtract 158 from both sides: -5x = -90", "Divide both sides by -5: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 79) = 7(x - 65) + 523", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 79, \"c\": 7, \"d\": 65, \"f\": 523, \"x\": 18}", "seed": "11049950033275713039", "semantic_fingerprint": "sha256:98e6ed3a59caef58ed309fade45eb6ee16df93d6317ac0e9d31c10f4c7ae25b5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005176", "prompt": "What is 8 / (-351 + 77) / (-9 / (-22) / 1)?", "solution_steps": ["Add: -351 + 77 = -274", "Divide: 8 / (-274) = -4/137", "Divide: -9 / (-22) = 9/22", "Divide: (9/22) / 1 = 9/22", "Divide: (-4/137) / (9/22) = -88/1233"], "final_answer": "-88/1233", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-351 + 77) / (-9 / (-22) / 1)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (+ n n)) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -351, \"c\": 77, \"d\": -9, \"e\": -22, \"f\": 1}", "seed": "4691880552488515193", "semantic_fingerprint": "sha256:833e60c0bdc073901cef11a57ebb175b984dc82757d7996b11a0deff35271de2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005177", "prompt": "Find x: -4(x + 9) - 56 = x + 8", "solution_steps": ["Expand: -4x - 36 - 56 = x + 8", "Combine constants: -4x - 92 = x + 8", "Subtract x from both sides: -5x - 92 = 8", "Add 92 to both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 9) - 56 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 56, \"e\": 8, \"x\": -20}", "seed": "15311393357391164535", "semantic_fingerprint": "sha256:cd38661f1027bb395c1145a0486c70451c2c7054757ce2b35e4b1a1e049d8fce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005178", "prompt": "Solve the equation 8(x - 15) + 470 = 10(x + 35) for x.", "solution_steps": ["Expand: 8x - 120 + 470 = 10(x + 35)", "Expand: 8x - 120 + 470 = 10x + 350", "Combine constants: 8x + 350 = 10x + 350", "Subtract 10x from both sides: -2x + 350 = 350", "Subtract 350 from both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 15) + 470 = 10(x + 35)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 15, \"c\": 10, \"d\": 35, \"f\": 470, \"x\": 0}", "seed": "3167490771746499314", "semantic_fingerprint": "sha256:e2e74fa1a391b4fc057532bed170399421c8e0fd3aabecf7bad9829d7ef9f9b6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005179", "prompt": "Compute: -706 - (-93 - (-29 + (-6 + (-6))))", "solution_steps": ["Add: -6 + (-6) = -12", "Add: -29 + (-12) = -41", "Subtract: -93 - (-41) = -52", "Subtract: -706 - (-52) = -654"], "final_answer": "-654", "answer_type": "integer", "kind": "expression", "math_text": "-706 - (-93 - (-29 + (-6 + (-6))))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -706, \"b\": -93, \"c\": -29, \"d\": -6, \"e\": -6}", "seed": "15882656917377668430", "semantic_fingerprint": "sha256:575f3a1dd1d126ea9c9ef47176737a4565a4c3b459616a09f69a7924af6e80cd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005180", "prompt": "What value of x satisfies 4(x - 46) + 214 = 11(x + 4)?", "solution_steps": ["Expand: 4x - 184 + 214 = 11(x + 4)", "Expand: 4x - 184 + 214 = 11x + 44", "Combine constants: 4x + 30 = 11x + 44", "Subtract 11x from both sides: -7x + 30 = 44", "Subtract 30 from both sides: -7x = 14", "Divide both sides by -7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 46) + 214 = 11(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 46, \"c\": 11, \"d\": 4, \"f\": 214, \"x\": -2}", "seed": "4095134794833733132", "semantic_fingerprint": "sha256:a38cc3df19a15c3f8d5dc079062771dda6004fc47e1fc8fbf050f6fd43141fb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005181", "prompt": "Evaluate: (152 + (-12)) * (493 + 0 * (-9))", "solution_steps": ["Add: 152 + (-12) = 140", "Multiply: 0 * (-9) = 0", "Add: 493 + 0 = 493", "Multiply: 140 * 493 = 69020"], "final_answer": "69020", "answer_type": "integer", "kind": "expression", "math_text": "(152 + (-12)) * (493 + 0 * (-9))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 152, \"b\": -12, \"c\": 493, \"d\": 0, \"e\": -9}", "seed": "7467276920413356115", "semantic_fingerprint": "sha256:2886f041d98f15c87692eefaaa3442419e37e3fc961e08422f6270252541fb3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005182", "prompt": "Calculate: -7 - (486 - 74 - (9 - (-14) / 1))", "solution_steps": ["Subtract: 486 - 74 = 412", "Divide: -14 / 1 = -14", "Subtract: 9 - (-14) = 23", "Subtract: 412 - 23 = 389", "Subtract: -7 - 389 = -396"], "final_answer": "-396", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (486 - 74 - (9 - (-14) / 1))", "variable": null, "family": "expression_5op", "shape": "(- n (- (- n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 486, \"c\": 74, \"d\": 9, \"e\": -14, \"f\": 1}", "seed": "517441247659002160", "semantic_fingerprint": "sha256:31ee8195c35bd27d2f725a1e45446e50d3ae6a7c2b48134759eb0b94fa05ac58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005183", "prompt": "Solve for x: 12x - 87 = 5(x - 2)", "solution_steps": ["Expand: 12x - 87 = 5x - 10", "Subtract 5x from both sides: 7x - 87 = -10", "Add 87 to both sides: 7x = 77", "Divide both sides by 7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 87 = 5(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 2, \"e\": -87, \"x\": 11}", "seed": "14809409379973837387", "semantic_fingerprint": "sha256:d5460a1d258acc4d50588d8c3fd5add5b0a6d5c03ada562b31ec15df3cca15c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005184", "prompt": "Solve the equation 7(x + 4) = -10(x - 764) + 6 for x.", "solution_steps": ["Expand: 7x + 28 = -10(x - 764) + 6", "Expand: 7x + 28 = -10x + 7640 + 6", "Combine constants: 7x + 28 = -10x + 7646", "Add 10x to both sides: 17x + 28 = 7646", "Subtract 28 from both sides: 17x = 7618", "Divide both sides by 17: x = 7618/17"], "final_answer": "7618/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 4) = -10(x - 764) + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": -10, \"d\": 764, \"e\": 6}", "seed": "9475838053653190381", "semantic_fingerprint": "sha256:6c4f15be99331745a5ad19706afd722f80645a780e8f33f64f264cd560427241", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005185", "prompt": "What value of x satisfies 7(x + 60) = 9(x - 3) + 407?", "solution_steps": ["Expand: 7x + 420 = 9(x - 3) + 407", "Expand: 7x + 420 = 9x - 27 + 407", "Combine constants: 7x + 420 = 9x + 380", "Subtract 9x from both sides: -2x + 420 = 380", "Subtract 420 from both sides: -2x = -40", "Divide both sides by -2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 60) = 9(x - 3) + 407", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 60, \"c\": 9, \"d\": 3, \"f\": 407, \"x\": 20}", "seed": "8347574374334995743", "semantic_fingerprint": "sha256:deebd5946fb9b959112caac36d8ec9649663a3ed68a28fad6867586649de6fdb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005186", "prompt": "Find x: -2x - 3 = 11(x - 2)", "solution_steps": ["Expand: -2x - 3 = 11x - 22", "Subtract 11x from both sides: -13x - 3 = -22", "Add 3 to both sides: -13x = -19", "Divide both sides by -13: x = 19/13"], "final_answer": "19/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 3 = 11(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 11, \"d\": 2}", "seed": "5161445642904322034", "semantic_fingerprint": "sha256:6445ebe44e197b242002fd84abdcdd6b1a0ae002da1a6e94324119e1a30be4b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005187", "prompt": "What value of x satisfies 7(x + 41) + 29 = x + 7?", "solution_steps": ["Expand: 7x + 287 + 29 = x + 7", "Combine constants: 7x + 316 = x + 7", "Subtract x from both sides: 6x + 316 = 7", "Subtract 316 from both sides: 6x = -309", "Divide both sides by 6: x = -103/2"], "final_answer": "-103/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 41) + 29 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 41, \"c\": 29, \"d\": 7}", "seed": "15204255398846739208", "semantic_fingerprint": "sha256:0737424da66601ced99f85704fca9fdd0af45f49d5ce45c859c51c6299b14c83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005188", "prompt": "Solve the equation 7(x + 8) - 15 = x + 53 for x.", "solution_steps": ["Expand: 7x + 56 - 15 = x + 53", "Combine constants: 7x + 41 = x + 53", "Subtract x from both sides: 6x + 41 = 53", "Subtract 41 from both sides: 6x = 12", "Divide both sides by 6: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 8) - 15 = x + 53", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 15, \"e\": 53, \"x\": 2}", "seed": "6206430255964215123", "semantic_fingerprint": "sha256:6ed122450ea7f9db6d5e858cfde9fb379f40fd5d152164c5762700afee568cea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005189", "prompt": "Solve the equation 2x - 84 = -10x - 8 for x.", "solution_steps": ["Add 10x to both sides: 12x - 84 = -8", "Add 84 to both sides: 12x = 76", "Divide both sides by 12: x = 19/3"], "final_answer": "19/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 84 = -10x - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 84, \"c\": -10, \"d\": 8}", "seed": "5007398438010905555", "semantic_fingerprint": "sha256:79c17491efa33f9c2877208e2d7c32ec36d232add8661a4a2ddd4c1b9a2bbf54", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005190", "prompt": "Calculate: (942 - (-9)) * (-27) / (192 * 45 * (-75))", "solution_steps": ["Subtract: 942 - (-9) = 951", "Multiply: 951 * (-27) = -25677", "Multiply: 192 * 45 = 8640", "Multiply: 8640 * (-75) = -648000", "Divide: -25677 / (-648000) = 317/8000"], "final_answer": "317/8000", "answer_type": "rational", "kind": "expression", "math_text": "(942 - (-9)) * (-27) / (192 * 45 * (-75))", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) n) (* (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 942, \"b\": -9, \"c\": -27, \"d\": 192, \"e\": 45, \"f\": -75}", "seed": "12993071355948941369", "semantic_fingerprint": "sha256:074ea7f55a99f6e77f07c8ec8c6ed836787a0d8e40f68c8be0158869f7864f9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005191", "prompt": "Solve for x: 5(x + 70) + 8 = x + 410", "solution_steps": ["Expand: 5x + 350 + 8 = x + 410", "Combine constants: 5x + 358 = x + 410", "Subtract x from both sides: 4x + 358 = 410", "Subtract 358 from both sides: 4x = 52", "Divide both sides by 4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 70) + 8 = x + 410", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 70, \"c\": 8, \"e\": 410, \"x\": 13}", "seed": "5029371320474000354", "semantic_fingerprint": "sha256:185b04b9a7fd4da2062e3b80828dff49c5d21afa66c565778817942d0f658cdf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005192", "prompt": "Solve for x: 7(x + 29) + 1 = x + 282", "solution_steps": ["Expand: 7x + 203 + 1 = x + 282", "Combine constants: 7x + 204 = x + 282", "Subtract x from both sides: 6x + 204 = 282", "Subtract 204 from both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 29) + 1 = x + 282", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 29, \"c\": 1, \"e\": 282, \"x\": 13}", "seed": "6021722890567125253", "semantic_fingerprint": "sha256:a727767ba4d4675ca56fa0f6e23114019f1871de794d66fcf600cbd5b324e4d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005193", "prompt": "Compute: 942 / (4 * (-43 + 161))", "solution_steps": ["Add: -43 + 161 = 118", "Multiply: 4 * 118 = 472", "Divide: 942 / 472 = 471/236"], "final_answer": "471/236", "answer_type": "rational", "kind": "expression", "math_text": "942 / (4 * (-43 + 161))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 942, \"b\": 4, \"c\": -43, \"d\": 161}", "seed": "4965804294652916046", "semantic_fingerprint": "sha256:e005870a8d539922103adfaf7820c7840d9a3150821013bc168aef7403efe044", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005194", "prompt": "Find x: 10x = 12(x + 1) - 2", "solution_steps": ["Expand: 10x = 12x + 12 - 2", "Combine constants: 10x = 12x + 10", "Subtract 12x from both sides: -2x = 10", "Divide both sides by -2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 12(x + 1) - 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 12, \"c\": 1, \"d\": 2}", "seed": "721799981831509345", "semantic_fingerprint": "sha256:2addb11c69c0e5f4735d3d412f39c3705d3d01cec56896e390838d7bfbc7a710", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005195", "prompt": "Solve the equation -3x - 867 = 11x - 587 for x.", "solution_steps": ["Subtract 11x from both sides: -14x - 867 = -587", "Add 867 to both sides: -14x = 280", "Divide both sides by -14: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 867 = 11x - 587", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 867, \"c\": 11, \"e\": -587, \"x\": -20}", "seed": "13802359915270818210", "semantic_fingerprint": "sha256:dad07931f4392d8548b8fcbf1b5e0e7d15f7124b277dd9b835fe962febd36ecb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005196", "prompt": "What is (765 - (-338) - 504) * (-88)?", "solution_steps": ["Subtract: 765 - (-338) = 1103", "Subtract: 1103 - 504 = 599", "Multiply: 599 * (-88) = -52712"], "final_answer": "-52712", "answer_type": "integer", "kind": "expression", "math_text": "(765 - (-338) - 504) * (-88)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 765, \"b\": -338, \"c\": 504, \"d\": -88}", "seed": "17931503487060962100", "semantic_fingerprint": "sha256:9409a007a87f15310bcca93255dc1c76e44a2f0fa71c7b59e1c719c34f8b4db4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005197", "prompt": "Evaluate: 7 * 883 * (0 / (-55))", "solution_steps": ["Multiply: 7 * 883 = 6181", "Divide: 0 / (-55) = 0", "Multiply: 6181 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "7 * 883 * (0 / (-55))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 883, \"c\": 0, \"d\": -55}", "seed": "7194989075744060490", "semantic_fingerprint": "sha256:621d712a1a5684d8a1823dcdb82646637c6fb6b350ed45dcd98f521d43f5152b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005198", "prompt": "What value of x satisfies 12x - 272 = 11(x - 248)?", "solution_steps": ["Expand: 12x - 272 = 11x - 2728", "Subtract 11x from both sides: x - 272 = -2728", "Add 272 to both sides: x = -2456"], "final_answer": "-2456", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 272 = 11(x - 248)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 272, \"c\": 11, \"d\": 248}", "seed": "4030928434695040014", "semantic_fingerprint": "sha256:d1d15d5355fdd74a039729ce7572c58ba70063c30238bb259371baec110cdf94", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005199", "prompt": "Evaluate: 29 - (-3) / 3 - 35", "solution_steps": ["Divide: -3 / 3 = -1", "Subtract: 29 - (-1) = 30", "Subtract: 30 - 35 = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "29 - (-3) / 3 - 35", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -3, \"c\": 3, \"d\": 35}", "seed": "10275699605103031297", "semantic_fingerprint": "sha256:4128472c595dc5314793f8af3eceaa88741f30d7016b3f65a9c937f499b4b590", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005200", "prompt": "What value of x satisfies -2(x - 236) + 85 = 8(x + 1)?", "solution_steps": ["Expand: -2x + 472 + 85 = 8(x + 1)", "Expand: -2x + 472 + 85 = 8x + 8", "Combine constants: -2x + 557 = 8x + 8", "Subtract 8x from both sides: -10x + 557 = 8", "Subtract 557 from both sides: -10x = -549", "Divide both sides by -10: x = 549/10"], "final_answer": "549/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 236) + 85 = 8(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 236, \"c\": 85, \"d\": 8, \"e\": 1}", "seed": "11562757155709251861", "semantic_fingerprint": "sha256:04c074574eff26cff261ae550305d5c8c95e16422465cc4b83241cca806ffff5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005201", "prompt": "Compute: 11 * (4 * 0) * 6", "solution_steps": ["Multiply: 4 * 0 = 0", "Multiply: 11 * 0 = 0", "Multiply: 0 * 6 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "11 * (4 * 0) * 6", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 0, \"d\": 6}", "seed": "1304399408648522312", "semantic_fingerprint": "sha256:4eee308a06e6c26a2e55ea861b16152db4147a2a6b33aa3853a446e509595bec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005202", "prompt": "Solve the equation -6x = 10(x + 5) + 222 for x.", "solution_steps": ["Expand: -6x = 10x + 50 + 222", "Combine constants: -6x = 10x + 272", "Subtract 10x from both sides: -16x = 272", "Divide both sides by -16: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 10(x + 5) + 222", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 10, \"c\": 5, \"e\": 222, \"x\": -17}", "seed": "2527183101865786174", "semantic_fingerprint": "sha256:b94a1455c08ce2825eb11e0252c3b2a18eae45d6a32c811890e150f7a880b816", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005203", "prompt": "Find x: 5(x + 38) + 3 = x + 181", "solution_steps": ["Expand: 5x + 190 + 3 = x + 181", "Combine constants: 5x + 193 = x + 181", "Subtract x from both sides: 4x + 193 = 181", "Subtract 193 from both sides: 4x = -12", "Divide both sides by 4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 38) + 3 = x + 181", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 38, \"c\": 3, \"e\": 181, \"x\": -3}", "seed": "4753290642805617550", "semantic_fingerprint": "sha256:a3b6f0668c3662763d324162fb99e80d6b6e2506008cdc9d2b5f5d951f8f3611", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005204", "prompt": "Solve the equation 12(x + 5) - 35 = x + 25 for x.", "solution_steps": ["Expand: 12x + 60 - 35 = x + 25", "Combine constants: 12x + 25 = x + 25", "Subtract x from both sides: 11x + 25 = 25", "Subtract 25 from both sides: 11x = 0", "Divide both sides by 11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 5) - 35 = x + 25", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 35, \"e\": 25, \"x\": 0}", "seed": "17483610637988319630", "semantic_fingerprint": "sha256:f7705ac034da19cc2ffef4581142331752fb588fe0414421d33352ac420844bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005205", "prompt": "Solve for x: 9x = 12(x + 574) + 545", "solution_steps": ["Expand: 9x = 12x + 6888 + 545", "Combine constants: 9x = 12x + 7433", "Subtract 12x from both sides: -3x = 7433", "Divide both sides by -3: x = -7433/3"], "final_answer": "-7433/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 12(x + 574) + 545", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 574, \"d\": 545}", "seed": "17924451673096599006", "semantic_fingerprint": "sha256:7ea8ea9e085ce5a8cf558b65390c5ae3fd3578b104f696872cb49a677fe0802a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005206", "prompt": "Solve for x: 11(x - 36) + 648 = 3(x + 44)", "solution_steps": ["Expand: 11x - 396 + 648 = 3(x + 44)", "Expand: 11x - 396 + 648 = 3x + 132", "Combine constants: 11x + 252 = 3x + 132", "Subtract 3x from both sides: 8x + 252 = 132", "Subtract 252 from both sides: 8x = -120", "Divide both sides by 8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 36) + 648 = 3(x + 44)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 36, \"c\": 3, \"d\": 44, \"f\": 648, \"x\": -15}", "seed": "3527192825773209898", "semantic_fingerprint": "sha256:0c5ebbba9d8ed604628846ac2daad0fc0edfe3107a3a6db885cfc1a757712541", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005207", "prompt": "Evaluate: -13 - (-9) - (-861) * (-232 + 213)", "solution_steps": ["Subtract: -13 - (-9) = -4", "Add: -232 + 213 = -19", "Multiply: -861 * (-19) = 16359", "Subtract: -4 - 16359 = -16363"], "final_answer": "-16363", "answer_type": "integer", "kind": "expression", "math_text": "-13 - (-9) - (-861) * (-232 + 213)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -9, \"c\": -861, \"d\": -232, \"e\": 213}", "seed": "2600856089865019276", "semantic_fingerprint": "sha256:46ce87b6ffad8f66bb7775e0767a66280bfe6190c8c81bdab41ce6ddbd525b78", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005208", "prompt": "Calculate: -14 * 22 * (-34 * 74) / (-87 + 0)", "solution_steps": ["Multiply: -14 * 22 = -308", "Multiply: -34 * 74 = -2516", "Multiply: -308 * (-2516) = 774928", "Add: -87 + 0 = -87", "Divide: 774928 / (-87) = -774928/87"], "final_answer": "-774928/87", "answer_type": "rational", "kind": "expression", "math_text": "-14 * 22 * (-34 * 74) / (-87 + 0)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 22, \"c\": -34, \"d\": 74, \"e\": -87, \"f\": 0}", "seed": "14067467474249905226", "semantic_fingerprint": "sha256:1309da1ab4a2994f7b4336b1c8a410eb70c8dc889e0ad2632ca8f01fc7d4797a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005209", "prompt": "What is (471 - 32 * 9) / 4?", "solution_steps": ["Multiply: 32 * 9 = 288", "Subtract: 471 - 288 = 183", "Divide: 183 / 4 = 183/4"], "final_answer": "183/4", "answer_type": "rational", "kind": "expression", "math_text": "(471 - 32 * 9) / 4", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 471, \"b\": 32, \"c\": 9, \"d\": 4}", "seed": "16125186247423084022", "semantic_fingerprint": "sha256:0cc9722a682930f7966c53fe675e1b37097e1b0fc970d8d581bb059f549bdf4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005210", "prompt": "Evaluate: -882 + (-7 * (-2 + 24) - 0) + 358", "solution_steps": ["Add: -2 + 24 = 22", "Multiply: -7 * 22 = -154", "Subtract: -154 - 0 = -154", "Add: -882 + (-154) = -1036", "Add: -1036 + 358 = -678"], "final_answer": "-678", "answer_type": "integer", "kind": "expression", "math_text": "-882 + (-7 * (-2 + 24) - 0) + 358", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- (* n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -882, \"b\": -7, \"c\": -2, \"d\": 24, \"e\": 0, \"f\": 358}", "seed": "18318882279008868716", "semantic_fingerprint": "sha256:783e66dab3cfec7acea89fb1f6efb8ec801f918202048b384b2c97913c8ef49d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005211", "prompt": "What value of x satisfies 2(x + 7) - 43 = x + 40?", "solution_steps": ["Expand: 2x + 14 - 43 = x + 40", "Combine constants: 2x - 29 = x + 40", "Subtract x from both sides: x - 29 = 40", "Add 29 to both sides: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 7) - 43 = x + 40", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 43, \"d\": 40}", "seed": "14685781985811572200", "semantic_fingerprint": "sha256:3da870348195e7caa32f414d9d8a97e5c936649d8ded4fec5d5288ae19e80703", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005212", "prompt": "Calculate: -3 * (-360) + 9 + 1", "solution_steps": ["Multiply: -3 * (-360) = 1080", "Add: 1080 + 9 = 1089", "Add: 1089 + 1 = 1090"], "final_answer": "1090", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-360) + 9 + 1", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -360, \"c\": 9, \"d\": 1}", "seed": "13292390124954825793", "semantic_fingerprint": "sha256:90cfd669fb2f836ffe16371b7cfe044fa36fa69546f4816bb65dd9cdf4bf6b75", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005213", "prompt": "What value of x satisfies 12x - 2 = 9(x - 681)?", "solution_steps": ["Expand: 12x - 2 = 9x - 6129", "Subtract 9x from both sides: 3x - 2 = -6129", "Add 2 to both sides: 3x = -6127", "Divide both sides by 3: x = -6127/3"], "final_answer": "-6127/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 2 = 9(x - 681)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 9, \"d\": 681}", "seed": "6753569164834140110", "semantic_fingerprint": "sha256:4079082c1882c9f19a5a275e955e638508627906d562176a6ddece3dc7e712b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005214", "prompt": "Evaluate: 2 * (869 - (-5)) + 54 * 71", "solution_steps": ["Subtract: 869 - (-5) = 874", "Multiply: 2 * 874 = 1748", "Multiply: 54 * 71 = 3834", "Add: 1748 + 3834 = 5582"], "final_answer": "5582", "answer_type": "integer", "kind": "expression", "math_text": "2 * (869 - (-5)) + 54 * 71", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 869, \"c\": -5, \"d\": 54, \"e\": 71}", "seed": "9168365750716728747", "semantic_fingerprint": "sha256:569d39cc359817344868ecdec82b8de2e69174424493c2cf20ff649128c4f29f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005215", "prompt": "What value of x satisfies -8x - 745 = 5(x - 43)?", "solution_steps": ["Expand: -8x - 745 = 5x - 215", "Subtract 5x from both sides: -13x - 745 = -215", "Add 745 to both sides: -13x = 530", "Divide both sides by -13: x = -530/13"], "final_answer": "-530/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x - 745 = 5(x - 43)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 745, \"c\": 5, \"d\": 43}", "seed": "4256717084853337319", "semantic_fingerprint": "sha256:5045123cea5853db309b88776d51de719f76f2e8d543da4654511d9b5dcc7559", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005216", "prompt": "Evaluate: (9 - 97 / 67) * (6 / 5)", "solution_steps": ["Divide: 97 / 67 = 97/67", "Subtract: 9 - 97/67 = 506/67", "Divide: 6 / 5 = 6/5", "Multiply: (506/67) * (6/5) = 3036/335"], "final_answer": "3036/335", "answer_type": "rational", "kind": "expression", "math_text": "(9 - 97 / 67) * (6 / 5)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 97, \"c\": 67, \"d\": 6, \"e\": 5}", "seed": "1022556864067788240", "semantic_fingerprint": "sha256:df3e05f7ad36cf80bac8ec00df4808165da666e08ed066f9e3da7e51e85fa9db", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005217", "prompt": "What is 950 / (-44) * (41 / (-14))?", "solution_steps": ["Divide: 950 / (-44) = -475/22", "Divide: 41 / (-14) = -41/14", "Multiply: (-475/22) * (-41/14) = 19475/308"], "final_answer": "19475/308", "answer_type": "rational", "kind": "expression", "math_text": "950 / (-44) * (41 / (-14))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 950, \"b\": -44, \"c\": 41, \"d\": -14}", "seed": "9529558258282769769", "semantic_fingerprint": "sha256:49910424cae4f52f0da112e6c3a8e42494c3b1fc1f3abfca2ec92d5720a080ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005218", "prompt": "What is (99 + (-5)) / (-6 + (-59))?", "solution_steps": ["Add: 99 + (-5) = 94", "Add: -6 + (-59) = -65", "Divide: 94 / (-65) = -94/65"], "final_answer": "-94/65", "answer_type": "rational", "kind": "expression", "math_text": "(99 + (-5)) / (-6 + (-59))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -5, \"c\": -6, \"d\": -59}", "seed": "9362244236789414887", "semantic_fingerprint": "sha256:5a107b9c3e728aeee5278b53081a92f8392167ddfe4ec9d824f45e6784f1a890", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005219", "prompt": "Calculate: (3 / 13 * 21 - 5) / 49", "solution_steps": ["Divide: 3 / 13 = 3/13", "Multiply: (3/13) * 21 = 63/13", "Subtract: 63/13 - 5 = -2/13", "Divide: (-2/13) / 49 = -2/637"], "final_answer": "-2/637", "answer_type": "rational", "kind": "expression", "math_text": "(3 / 13 * 21 - 5) / 49", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 13, \"c\": 21, \"d\": 5, \"e\": 49}", "seed": "16376209364190748960", "semantic_fingerprint": "sha256:4adff2470f1ab99d65f0839b869e6503d3427db062878b53133e28e7f9904378", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005220", "prompt": "Find x: 9x - 4 = 10x - 4", "solution_steps": ["Subtract 10x from both sides: -x - 4 = -4", "Add 4 to both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 4 = 10x - 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 10, \"e\": -4, \"x\": 0}", "seed": "13767074319473439862", "semantic_fingerprint": "sha256:863e492166cddb0720be6d55297d82fd0c64123521b1b383cc0fa2e2101b5262", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005221", "prompt": "What is 1 * (-310) - 228 + (64 - (-22))?", "solution_steps": ["Multiply: 1 * (-310) = -310", "Subtract: -310 - 228 = -538", "Subtract: 64 - (-22) = 86", "Add: -538 + 86 = -452"], "final_answer": "-452", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-310) - 228 + (64 - (-22))", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -310, \"c\": 228, \"d\": 64, \"e\": -22}", "seed": "14278540920891855948", "semantic_fingerprint": "sha256:a126a64964c9548a83b7b6e79215d783e6d8c1a76ff24ce314f8163fab0848c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005222", "prompt": "Calculate: 8 * (-4) + 3 * 3", "solution_steps": ["Multiply: 8 * (-4) = -32", "Multiply: 3 * 3 = 9", "Add: -32 + 9 = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-4) + 3 * 3", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -4, \"c\": 3, \"d\": 3}", "seed": "17225984459144557700", "semantic_fingerprint": "sha256:3e2f778001063509f164081449398f7169012b805aa6e90bcf1d0b9f30120554", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005223", "prompt": "What value of x satisfies 9x - 3 = 4x - 73?", "solution_steps": ["Subtract 4x from both sides: 5x - 3 = -73", "Add 3 to both sides: 5x = -70", "Divide both sides by 5: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 3 = 4x - 73", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 4, \"e\": -73, \"x\": -14}", "seed": "7784364960618653026", "semantic_fingerprint": "sha256:2105989fd393d7422fbbf077031a0dacc01f3537f85af66844999dc1d462ad00", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005224", "prompt": "Find x: 2(x - 97) + 473 = 3(x + 93)", "solution_steps": ["Expand: 2x - 194 + 473 = 3(x + 93)", "Expand: 2x - 194 + 473 = 3x + 279", "Combine constants: 2x + 279 = 3x + 279", "Subtract 3x from both sides: -x + 279 = 279", "Subtract 279 from both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 97) + 473 = 3(x + 93)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 97, \"c\": 3, \"d\": 93, \"f\": 473, \"x\": 0}", "seed": "6930797831656068285", "semantic_fingerprint": "sha256:1c2cdedbfe1b476adc032dfeff5d9676883f0508fc1bba179da041616395e454", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005225", "prompt": "Calculate: 454 * (-1) - (-79) + (3 - 98)", "solution_steps": ["Multiply: 454 * (-1) = -454", "Subtract: -454 - (-79) = -375", "Subtract: 3 - 98 = -95", "Add: -375 + (-95) = -470"], "final_answer": "-470", "answer_type": "integer", "kind": "expression", "math_text": "454 * (-1) - (-79) + (3 - 98)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 454, \"b\": -1, \"c\": -79, \"d\": 3, \"e\": 98}", "seed": "15080803320830798926", "semantic_fingerprint": "sha256:f407c81b7a9514c208f9d1fb4c4d31b61a5c8ba9735e2f4180023c4e19da85bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005226", "prompt": "What is (-54 + (-5)) / (59 - 3 + (-4))?", "solution_steps": ["Add: -54 + (-5) = -59", "Subtract: 59 - 3 = 56", "Add: 56 + (-4) = 52", "Divide: -59 / 52 = -59/52"], "final_answer": "-59/52", "answer_type": "rational", "kind": "expression", "math_text": "(-54 + (-5)) / (59 - 3 + (-4))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -5, \"c\": 59, \"d\": 3, \"e\": -4}", "seed": "16026483551067776771", "semantic_fingerprint": "sha256:eba3c1627d3be65bbb45addce9a452b0ac343d90500b44b10a47b7acc333801e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005227", "prompt": "Solve the equation -11(x + 6) + 41 = x + 95 for x.", "solution_steps": ["Expand: -11x - 66 + 41 = x + 95", "Combine constants: -11x - 25 = x + 95", "Subtract x from both sides: -12x - 25 = 95", "Add 25 to both sides: -12x = 120", "Divide both sides by -12: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 6) + 41 = x + 95", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 41, \"e\": 95, \"x\": -10}", "seed": "799161303869110030", "semantic_fingerprint": "sha256:aa4bf8456a91fee11154b37da4271bd9b19153b696bc6c0eb007ce3b6510c58d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005228", "prompt": "Compute: -72 * (61 + (-7)) / (5 - (-489))", "solution_steps": ["Add: 61 + (-7) = 54", "Multiply: -72 * 54 = -3888", "Subtract: 5 - (-489) = 494", "Divide: -3888 / 494 = -1944/247"], "final_answer": "-1944/247", "answer_type": "rational", "kind": "expression", "math_text": "-72 * (61 + (-7)) / (5 - (-489))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 61, \"c\": -7, \"d\": 5, \"e\": -489}", "seed": "9836716387618820462", "semantic_fingerprint": "sha256:ad4a5b04f4fd404475ad740a9235f93d32045580fc79aaa6e1d85ba0ace34459", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005229", "prompt": "Evaluate: 1 * (-370) + 40 * (27 * (-2))", "solution_steps": ["Multiply: 1 * (-370) = -370", "Multiply: 27 * (-2) = -54", "Multiply: 40 * (-54) = -2160", "Add: -370 + (-2160) = -2530"], "final_answer": "-2530", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-370) + 40 * (27 * (-2))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -370, \"c\": 40, \"d\": 27, \"e\": -2}", "seed": "17472939634518405689", "semantic_fingerprint": "sha256:5c4d5f69b93dd806e260844e8ac9c3a84883c3476c66333142a097367eb558ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005230", "prompt": "Evaluate: (-9 + (-52) * (-75) + (-59)) * (-74 / 275)", "solution_steps": ["Multiply: -52 * (-75) = 3900", "Add: -9 + 3900 = 3891", "Add: 3891 + (-59) = 3832", "Divide: -74 / 275 = -74/275", "Multiply: 3832 * (-74/275) = -283568/275"], "final_answer": "-283568/275", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-52) * (-75) + (-59)) * (-74 / 275)", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n (* n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -52, \"c\": -75, \"d\": -59, \"e\": -74, \"f\": 275}", "seed": "6581321457333511827", "semantic_fingerprint": "sha256:9714fe846bed51ffcac0077edc138100b5a06d232b5a98bfd5e9d3a0e2e0e43a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005231", "prompt": "Solve for x: 9x = -6(x + 54) + 264", "solution_steps": ["Expand: 9x = -6x - 324 + 264", "Combine constants: 9x = -6x - 60", "Add 6x to both sides: 15x = -60", "Divide both sides by 15: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = -6(x + 54) + 264", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": 54, \"e\": 264, \"x\": -4}", "seed": "766378509339528049", "semantic_fingerprint": "sha256:9a73148f6522a59d6a21e821cf088c7b512b283d741627bc5e01f190ee18c23f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005232", "prompt": "Compute: (-83 + 41) / (-70) + 69", "solution_steps": ["Add: -83 + 41 = -42", "Divide: -42 / (-70) = 3/5", "Add: 3/5 + 69 = 348/5"], "final_answer": "348/5", "answer_type": "rational", "kind": "expression", "math_text": "(-83 + 41) / (-70) + 69", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 41, \"c\": -70, \"d\": 69}", "seed": "13126830570033855234", "semantic_fingerprint": "sha256:effe95dd9cc26cd4aebce5608b80340f782901f058abbc09ea1ff3ecb677d594", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005233", "prompt": "What value of x satisfies 3x = -7(x + 40) + 100?", "solution_steps": ["Expand: 3x = -7x - 280 + 100", "Combine constants: 3x = -7x - 180", "Add 7x to both sides: 10x = -180", "Divide both sides by 10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -7(x + 40) + 100", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 40, \"e\": 100, \"x\": -18}", "seed": "5430167920317601192", "semantic_fingerprint": "sha256:9c15a0a549f00f1dcb9776a72bf7803a38898633e31ea86a2fc3743bcc78fab4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005234", "prompt": "Solve for x: 8x - 10 = 7x - 8", "solution_steps": ["Subtract 7x from both sides: x - 10 = -8", "Add 10 to both sides: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 10 = 7x - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 10, \"c\": 7, \"e\": -8, \"x\": 2}", "seed": "6168915750085557496", "semantic_fingerprint": "sha256:7b7cb2adfe135662f8027efcb7bcf118e68233b12624cfc334e39f3f427bdd6c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005235", "prompt": "Compute: 82 * (-7) * (-490 / 8)", "solution_steps": ["Multiply: 82 * (-7) = -574", "Divide: -490 / 8 = -245/4", "Multiply: -574 * (-245/4) = 70315/2"], "final_answer": "70315/2", "answer_type": "rational", "kind": "expression", "math_text": "82 * (-7) * (-490 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -7, \"c\": -490, \"d\": 8}", "seed": "3015285944411314581", "semantic_fingerprint": "sha256:7c1ae9b14ba7461f06c4f6476e22baf46ca476d16aa0b1799e72646576cc69cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005236", "prompt": "Evaluate: -24 * (-7 + 955) + (30 + (-6))", "solution_steps": ["Add: -7 + 955 = 948", "Multiply: -24 * 948 = -22752", "Add: 30 + (-6) = 24", "Add: -22752 + 24 = -22728"], "final_answer": "-22728", "answer_type": "integer", "kind": "expression", "math_text": "-24 * (-7 + 955) + (30 + (-6))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -7, \"c\": 955, \"d\": 30, \"e\": -6}", "seed": "8701040550617980942", "semantic_fingerprint": "sha256:69060105d80f42d9da93c3307ff133ca905021d429ee0110cde568c7df106ff6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005237", "prompt": "Find x: 7x = 2(x + 48) - 156", "solution_steps": ["Expand: 7x = 2x + 96 - 156", "Combine constants: 7x = 2x - 60", "Subtract 2x from both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 2(x + 48) - 156", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 48, \"e\": -156, \"x\": -12}", "seed": "17944354451603766680", "semantic_fingerprint": "sha256:ed717d7e047feeb7919671536db2569373ebdfd6cd43ce4c8a32ec51f2d203ec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005238", "prompt": "What is (32 - (-9)) * (89 + (74 - 867))?", "solution_steps": ["Subtract: 32 - (-9) = 41", "Subtract: 74 - 867 = -793", "Add: 89 + (-793) = -704", "Multiply: 41 * (-704) = -28864"], "final_answer": "-28864", "answer_type": "integer", "kind": "expression", "math_text": "(32 - (-9)) * (89 + (74 - 867))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -9, \"c\": 89, \"d\": 74, \"e\": 867}", "seed": "11571038972153671716", "semantic_fingerprint": "sha256:c49c2cbda7524589802b6fed11be9180f073cd70436eda8ccfdf26ae87eb1323", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005239", "prompt": "What value of x satisfies 6x = -8(x + 6) + 104?", "solution_steps": ["Expand: 6x = -8x - 48 + 104", "Combine constants: 6x = -8x + 56", "Add 8x to both sides: 14x = 56", "Divide both sides by 14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = -8(x + 6) + 104", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -8, \"c\": 6, \"e\": 104, \"x\": 4}", "seed": "15959065229520062753", "semantic_fingerprint": "sha256:353bb3d3d0ff98192c3eea276c1cb4ced39ed7ba93e587eaffc02ce76401b818", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005240", "prompt": "Solve for x: 3x - 83 = -2x - 3", "solution_steps": ["Add 2x to both sides: 5x - 83 = -3", "Add 83 to both sides: 5x = 80", "Divide both sides by 5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 83 = -2x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 83, \"c\": -2, \"e\": -3, \"x\": 16}", "seed": "76312196559309718", "semantic_fingerprint": "sha256:25761d74254fe50e8d1d5a09bba911b2b49790928946df63c8c7aaee2bcd451e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005241", "prompt": "Compute: -63 / (-66) + (-13) - (-21) * (-53)", "solution_steps": ["Divide: -63 / (-66) = 21/22", "Add: 21/22 + (-13) = -265/22", "Multiply: -21 * (-53) = 1113", "Subtract: -265/22 - 1113 = -24751/22"], "final_answer": "-24751/22", "answer_type": "rational", "kind": "expression", "math_text": "-63 / (-66) + (-13) - (-21) * (-53)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -66, \"c\": -13, \"d\": -21, \"e\": -53}", "seed": "953135217579743011", "semantic_fingerprint": "sha256:89903d179cb6d3cace6f58d1b5560f5d3d4da5307710c2869cc9a1c256b79934", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005242", "prompt": "Solve the equation 4(x - 73) + 1 = 3(x + 5) for x.", "solution_steps": ["Expand: 4x - 292 + 1 = 3(x + 5)", "Expand: 4x - 292 + 1 = 3x + 15", "Combine constants: 4x - 291 = 3x + 15", "Subtract 3x from both sides: x - 291 = 15", "Add 291 to both sides: x = 306"], "final_answer": "306", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 73) + 1 = 3(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 73, \"c\": 1, \"d\": 3, \"e\": 5}", "seed": "11064557109784664102", "semantic_fingerprint": "sha256:d514051bb0531010090ea1434ee2c4a36baf9486236ccd352467c870eb9206c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005243", "prompt": "Find x: 5x - 232 = 8(x - 29)", "solution_steps": ["Expand: 5x - 232 = 8x - 232", "Subtract 8x from both sides: -3x - 232 = -232", "Add 232 to both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 232 = 8(x - 29)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 29, \"e\": -232, \"x\": 0}", "seed": "6125764781435637964", "semantic_fingerprint": "sha256:25f895d7a980067dd0ea7ed8f3c259b6cca4daae24e3cee36968a8581ddadb0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005244", "prompt": "Evaluate: -2 * (-515) / ((-7 + (-1)) * 9) * 67", "solution_steps": ["Multiply: -2 * (-515) = 1030", "Add: -7 + (-1) = -8", "Multiply: -8 * 9 = -72", "Divide: 1030 / (-72) = -515/36", "Multiply: (-515/36) * 67 = -34505/36"], "final_answer": "-34505/36", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-515) / ((-7 + (-1)) * 9) * 67", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) (* (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -515, \"c\": -7, \"d\": -1, \"e\": 9, \"f\": 67}", "seed": "7660423696401320885", "semantic_fingerprint": "sha256:001e6f3ca1f46b2b25ce96239da6e38545916097c2e2684eba251cf316e869e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005245", "prompt": "Solve for x: 2x - 513 = 11(x - 63)", "solution_steps": ["Expand: 2x - 513 = 11x - 693", "Subtract 11x from both sides: -9x - 513 = -693", "Add 513 to both sides: -9x = -180", "Divide both sides by -9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 513 = 11(x - 63)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 11, \"c\": 63, \"e\": -513, \"x\": 20}", "seed": "8724638059056815447", "semantic_fingerprint": "sha256:059332c0b2b016434f106e6a37959c93f5bce632ed84debfe698da1b73f743d8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005246", "prompt": "Calculate: 8 * 70 * (61 / (-61))", "solution_steps": ["Multiply: 8 * 70 = 560", "Divide: 61 / (-61) = -1", "Multiply: 560 * (-1) = -560"], "final_answer": "-560", "answer_type": "integer", "kind": "expression", "math_text": "8 * 70 * (61 / (-61))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 70, \"c\": 61, \"d\": -61}", "seed": "10969340709525874756", "semantic_fingerprint": "sha256:7ae84edc4f797c25040f9fad91cb5f992d68f5263dbb1ec5fd793d154d5f98ed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005247", "prompt": "What is -2 * (-58) - (-44 / 24 - (-3))?", "solution_steps": ["Multiply: -2 * (-58) = 116", "Divide: -44 / 24 = -11/6", "Subtract: -11/6 - (-3) = 7/6", "Subtract: 116 - 7/6 = 689/6"], "final_answer": "689/6", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-58) - (-44 / 24 - (-3))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -58, \"c\": -44, \"d\": 24, \"e\": -3}", "seed": "15518354457641325693", "semantic_fingerprint": "sha256:e0ab6f33556935fedea7cbb6cabbf5a18c77afa2e36841243eb10995fb1c1319", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005248", "prompt": "Compute: 425 + (9 - (-91)) + 0", "solution_steps": ["Subtract: 9 - (-91) = 100", "Add: 425 + 100 = 525", "Add: 525 + 0 = 525"], "final_answer": "525", "answer_type": "integer", "kind": "expression", "math_text": "425 + (9 - (-91)) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 425, \"b\": 9, \"c\": -91, \"d\": 0}", "seed": "7189897736583447946", "semantic_fingerprint": "sha256:1e312cc73565f88caa3270e0630633be52a3af9e224f721bebe7f845d34ebf7b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005249", "prompt": "What value of x satisfies 12x = 4(x + 59) - 100?", "solution_steps": ["Expand: 12x = 4x + 236 - 100", "Combine constants: 12x = 4x + 136", "Subtract 4x from both sides: 8x = 136", "Divide both sides by 8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 4(x + 59) - 100", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 59, \"e\": -100, \"x\": 17}", "seed": "14492038911639545280", "semantic_fingerprint": "sha256:75685511d36dac2041d06b9a8b2debd2904a38626b8028dd6b274e4852930eba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005250", "prompt": "Solve for x: -10(x - 80) - 33 = x + 580", "solution_steps": ["Expand: -10x + 800 - 33 = x + 580", "Combine constants: -10x + 767 = x + 580", "Subtract x from both sides: -11x + 767 = 580", "Subtract 767 from both sides: -11x = -187", "Divide both sides by -11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 80) - 33 = x + 580", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 80, \"c\": 33, \"e\": 580, \"x\": 17}", "seed": "7487200046685580186", "semantic_fingerprint": "sha256:4eb3aee10ba5765e68d24c2d4b7c402ae44f931cd4f429b3ce01603aa6893b9f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005251", "prompt": "What value of x satisfies 5(x + 4) - 38 = x + 50?", "solution_steps": ["Expand: 5x + 20 - 38 = x + 50", "Combine constants: 5x - 18 = x + 50", "Subtract x from both sides: 4x - 18 = 50", "Add 18 to both sides: 4x = 68", "Divide both sides by 4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 4) - 38 = x + 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 38, \"e\": 50, \"x\": 17}", "seed": "7242921173426687535", "semantic_fingerprint": "sha256:1755640cb7f2b4975f73f7fe4ea879410ce1f923ca1f38d68f55c1a2856fa041", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005252", "prompt": "Evaluate: -919 + (-6 - (9 + (-55)))", "solution_steps": ["Add: 9 + (-55) = -46", "Subtract: -6 - (-46) = 40", "Add: -919 + 40 = -879"], "final_answer": "-879", "answer_type": "integer", "kind": "expression", "math_text": "-919 + (-6 - (9 + (-55)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -919, \"b\": -6, \"c\": 9, \"d\": -55}", "seed": "5220507616959057463", "semantic_fingerprint": "sha256:b1e4a84ada2a8812e6019a37d24be6c6bbe34fa48cc1237a15db3e72b790322e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005253", "prompt": "Compute: 33 * (123 + (-1)) + (-520 + 447)", "solution_steps": ["Add: 123 + (-1) = 122", "Multiply: 33 * 122 = 4026", "Add: -520 + 447 = -73", "Add: 4026 + (-73) = 3953"], "final_answer": "3953", "answer_type": "integer", "kind": "expression", "math_text": "33 * (123 + (-1)) + (-520 + 447)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 123, \"c\": -1, \"d\": -520, \"e\": 447}", "seed": "3044651250128070758", "semantic_fingerprint": "sha256:d6f9c677ed4dc0179c7efde962efda43d101fc06ed3edd0a6fab6f244902e48f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005254", "prompt": "Find x: -8x = 11(x + 92) - 7", "solution_steps": ["Expand: -8x = 11x + 1012 - 7", "Combine constants: -8x = 11x + 1005", "Subtract 11x from both sides: -19x = 1005", "Divide both sides by -19: x = -1005/19"], "final_answer": "-1005/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = 11(x + 92) - 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 11, \"c\": 92, \"d\": 7}", "seed": "15649655478029642191", "semantic_fingerprint": "sha256:93d8884ae4f53cd515ac4deb4bff947b8a18c65af4e8b2ebc2a2e86ae04609fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005255", "prompt": "Solve for x: 5(x + 15) + 9 = x + 24", "solution_steps": ["Expand: 5x + 75 + 9 = x + 24", "Combine constants: 5x + 84 = x + 24", "Subtract x from both sides: 4x + 84 = 24", "Subtract 84 from both sides: 4x = -60", "Divide both sides by 4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 15) + 9 = x + 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 15, \"c\": 9, \"e\": 24, \"x\": -15}", "seed": "2272723227340503710", "semantic_fingerprint": "sha256:82fecb0992b5f543430dff0764a605e6d141a97f5f95b405a449964cc7a707c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005256", "prompt": "Find x: 10(x - 89) + 484 = -6(x + 57)", "solution_steps": ["Expand: 10x - 890 + 484 = -6(x + 57)", "Expand: 10x - 890 + 484 = -6x - 342", "Combine constants: 10x - 406 = -6x - 342", "Add 6x to both sides: 16x - 406 = -342", "Add 406 to both sides: 16x = 64", "Divide both sides by 16: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 89) + 484 = -6(x + 57)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 89, \"c\": -6, \"d\": 57, \"f\": 484, \"x\": 4}", "seed": "8040291510393648505", "semantic_fingerprint": "sha256:fe47ede0b878d71a88b557dfa0e8da65304d165eb3e09863fd362718262bc31b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005257", "prompt": "Compute: -69 / ((-5 - 2 + (-4 + (-63))) / 41)", "solution_steps": ["Subtract: -5 - 2 = -7", "Add: -4 + (-63) = -67", "Add: -7 + (-67) = -74", "Divide: -74 / 41 = -74/41", "Divide: -69 / (-74/41) = 2829/74"], "final_answer": "2829/74", "answer_type": "rational", "kind": "expression", "math_text": "-69 / ((-5 - 2 + (-4 + (-63))) / 41)", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (+ (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -5, \"c\": 2, \"d\": -4, \"e\": -63, \"f\": 41}", "seed": "3931857027408302238", "semantic_fingerprint": "sha256:2f06f4432fb720305dec18c8ce331608f1db1db74d8f8331d51c4887b0452700", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005258", "prompt": "Find x: 2(x + 6) - 8 = x + 10", "solution_steps": ["Expand: 2x + 12 - 8 = x + 10", "Combine constants: 2x + 4 = x + 10", "Subtract x from both sides: x + 4 = 10", "Subtract 4 from both sides: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 6) - 8 = x + 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 8, \"e\": 10, \"x\": 6}", "seed": "1213260331281953043", "semantic_fingerprint": "sha256:2f465038eaf63e8fcafae413cc3b27837ab9173306823d195439ce6dbbc5759d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005259", "prompt": "Solve for x: 8(x + 16) + 54 = x + 45", "solution_steps": ["Expand: 8x + 128 + 54 = x + 45", "Combine constants: 8x + 182 = x + 45", "Subtract x from both sides: 7x + 182 = 45", "Subtract 182 from both sides: 7x = -137", "Divide both sides by 7: x = -137/7"], "final_answer": "-137/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 16) + 54 = x + 45", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 16, \"c\": 54, \"d\": 45}", "seed": "17864453163835868875", "semantic_fingerprint": "sha256:26d2e9e6cf6e639cf21b7a87fe7a47c684b87a8210b490a86396dd5a451caad7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005260", "prompt": "Compute: (-21 - (372 + (-2))) / (-364 / (-588))", "solution_steps": ["Add: 372 + (-2) = 370", "Subtract: -21 - 370 = -391", "Divide: -364 / (-588) = 13/21", "Divide: -391 / (13/21) = -8211/13"], "final_answer": "-8211/13", "answer_type": "rational", "kind": "expression", "math_text": "(-21 - (372 + (-2))) / (-364 / (-588))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 372, \"c\": -2, \"d\": -364, \"e\": -588}", "seed": "13304430888980463736", "semantic_fingerprint": "sha256:4b9cd3bc9ac7e79b3984ca0aefc48a8e50c8230e046afc5851996aae0d9c79c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005261", "prompt": "Compute: (-87 * (-117) - 76 * 237) / (-6 + 527)", "solution_steps": ["Multiply: -87 * (-117) = 10179", "Multiply: 76 * 237 = 18012", "Subtract: 10179 - 18012 = -7833", "Add: -6 + 527 = 521", "Divide: -7833 / 521 = -7833/521"], "final_answer": "-7833/521", "answer_type": "rational", "kind": "expression", "math_text": "(-87 * (-117) - 76 * 237) / (-6 + 527)", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -117, \"c\": 76, \"d\": 237, \"e\": -6, \"f\": 527}", "seed": "8520391016151743492", "semantic_fingerprint": "sha256:f98d24dbdfd59fc1e82679a1a3eeb599766cbbebe5ea0927116312ee6c291897", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005262", "prompt": "What is (3 / (-2) - 73) * 12?", "solution_steps": ["Divide: 3 / (-2) = -3/2", "Subtract: -3/2 - 73 = -149/2", "Multiply: (-149/2) * 12 = -894"], "final_answer": "-894", "answer_type": "integer", "kind": "expression", "math_text": "(3 / (-2) - 73) * 12", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 73, \"d\": 12}", "seed": "9542958127783392292", "semantic_fingerprint": "sha256:a7287537e8b91f303571bbd7fc57a7e5246f198a2cf4c441ba8435a4bc58180b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005263", "prompt": "Solve for x: 6(x + 316) = 7(x - 1) + 294", "solution_steps": ["Expand: 6x + 1896 = 7(x - 1) + 294", "Expand: 6x + 1896 = 7x - 7 + 294", "Combine constants: 6x + 1896 = 7x + 287", "Subtract 7x from both sides: -x + 1896 = 287", "Subtract 1896 from both sides: -x = -1609", "Divide both sides by -1: x = 1609"], "final_answer": "1609", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 316) = 7(x - 1) + 294", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 316, \"c\": 7, \"d\": 1, \"e\": 294}", "seed": "4261272415573207802", "semantic_fingerprint": "sha256:6319f8970f69799fff485953c8e9eda847107d0d43ee5dd43866a116561dcf59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005264", "prompt": "Solve the equation -8(x + 8) + 214 = x + 222 for x.", "solution_steps": ["Expand: -8x - 64 + 214 = x + 222", "Combine constants: -8x + 150 = x + 222", "Subtract x from both sides: -9x + 150 = 222", "Subtract 150 from both sides: -9x = 72", "Divide both sides by -9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 8) + 214 = x + 222", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"c\": 214, \"e\": 222, \"x\": -8}", "seed": "8028624221112245120", "semantic_fingerprint": "sha256:e3f715388823044539b837fde96172c57b0cedf3629f3b6fe594f587a4f87a36", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005265", "prompt": "Compute: -3 * 79 * (97 + (56 + (-86)))", "solution_steps": ["Multiply: -3 * 79 = -237", "Add: 56 + (-86) = -30", "Add: 97 + (-30) = 67", "Multiply: -237 * 67 = -15879"], "final_answer": "-15879", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 79 * (97 + (56 + (-86)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 79, \"c\": 97, \"d\": 56, \"e\": -86}", "seed": "197874353685603455", "semantic_fingerprint": "sha256:40863100c00b686245e2b6d612e899f05b2d044ea2263917c48e7cefd4916e45", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005266", "prompt": "Solve for x: -7(x - 16) - 7 = x + 33", "solution_steps": ["Expand: -7x + 112 - 7 = x + 33", "Combine constants: -7x + 105 = x + 33", "Subtract x from both sides: -8x + 105 = 33", "Subtract 105 from both sides: -8x = -72", "Divide both sides by -8: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 16) - 7 = x + 33", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 16, \"c\": 7, \"e\": 33, \"x\": 9}", "seed": "10265846275547211013", "semantic_fingerprint": "sha256:fc0ff642a1e62487da8bb0836cf35bcbc3c92f34cfbfac027c7f681b4673a147", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005267", "prompt": "Find x: 3x = 2(x + 9) - 11", "solution_steps": ["Expand: 3x = 2x + 18 - 11", "Combine constants: 3x = 2x + 7", "Subtract 2x from both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 2(x + 9) - 11", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 9, \"e\": -11, \"x\": 7}", "seed": "14272340565409995690", "semantic_fingerprint": "sha256:6a6ca5d10f48be8ba2a978b1d05224e7de97aabcd78b59c6601b49c573a49525", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005268", "prompt": "What value of x satisfies 2x = 4(x + 4) + 14?", "solution_steps": ["Expand: 2x = 4x + 16 + 14", "Combine constants: 2x = 4x + 30", "Subtract 4x from both sides: -2x = 30", "Divide both sides by -2: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 4(x + 4) + 14", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 4, \"e\": 14, \"x\": -15}", "seed": "970650218003561305", "semantic_fingerprint": "sha256:81c69f79c6da358dfc9238cb20e97bdb1d10436c3a7c08144a3fb708042c5c7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005269", "prompt": "Find x: -7(x + 3) = 2(x - 46) + 54", "solution_steps": ["Expand: -7x - 21 = 2(x - 46) + 54", "Expand: -7x - 21 = 2x - 92 + 54", "Combine constants: -7x - 21 = 2x - 38", "Subtract 2x from both sides: -9x - 21 = -38", "Add 21 to both sides: -9x = -17", "Divide both sides by -9: x = 17/9"], "final_answer": "17/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 3) = 2(x - 46) + 54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 2, \"d\": 46, \"e\": 54}", "seed": "177254348986003843", "semantic_fingerprint": "sha256:feeb041c4f55dc783d0c3a870ab9840593cb521c6b572c072da525ebafa1c6bc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005270", "prompt": "What value of x satisfies 11(x + 38) + 465 = x + 973?", "solution_steps": ["Expand: 11x + 418 + 465 = x + 973", "Combine constants: 11x + 883 = x + 973", "Subtract x from both sides: 10x + 883 = 973", "Subtract 883 from both sides: 10x = 90", "Divide both sides by 10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 38) + 465 = x + 973", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 38, \"c\": 465, \"e\": 973, \"x\": 9}", "seed": "3326720542824101301", "semantic_fingerprint": "sha256:c6bf8273f1bdce4dc280001fd25bae1cf0f4ae4e0bd26d4a6c26ee31a39ab278", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005271", "prompt": "Compute: -93 * 5 * (173 / (-7))", "solution_steps": ["Multiply: -93 * 5 = -465", "Divide: 173 / (-7) = -173/7", "Multiply: -465 * (-173/7) = 80445/7"], "final_answer": "80445/7", "answer_type": "rational", "kind": "expression", "math_text": "-93 * 5 * (173 / (-7))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 5, \"c\": 173, \"d\": -7}", "seed": "5040679283156356590", "semantic_fingerprint": "sha256:7346f594062c5048237df0d9c72fa436c357267a31bdec2ab05db357df403683", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005272", "prompt": "Calculate: 51 - (-5) + (-134 + 39 - (-732 - (-665)))", "solution_steps": ["Subtract: 51 - (-5) = 56", "Add: -134 + 39 = -95", "Subtract: -732 - (-665) = -67", "Subtract: -95 - (-67) = -28", "Add: 56 + (-28) = 28"], "final_answer": "28", "answer_type": "integer", "kind": "expression", "math_text": "51 - (-5) + (-134 + 39 - (-732 - (-665)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -5, \"c\": -134, \"d\": 39, \"e\": -732, \"f\": -665}", "seed": "2211593537373780008", "semantic_fingerprint": "sha256:fec17218f3d7e6144e6d4629955b307e3dc4dff9ed3e8fbc7cf53eeadcae5a0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005273", "prompt": "Find x: 7(x - 82) - 9 = x + 2", "solution_steps": ["Expand: 7x - 574 - 9 = x + 2", "Combine constants: 7x - 583 = x + 2", "Subtract x from both sides: 6x - 583 = 2", "Add 583 to both sides: 6x = 585", "Divide both sides by 6: x = 195/2"], "final_answer": "195/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 82) - 9 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 82, \"c\": 9, \"d\": 2}", "seed": "17516490689191769923", "semantic_fingerprint": "sha256:f89ab0953288be652eefd6885942c6a8a179ba4b97cf0d79371cb629f51c6fad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005274", "prompt": "Solve for x: 3(x - 17) + 4 = 5(x + 625)", "solution_steps": ["Expand: 3x - 51 + 4 = 5(x + 625)", "Expand: 3x - 51 + 4 = 5x + 3125", "Combine constants: 3x - 47 = 5x + 3125", "Subtract 5x from both sides: -2x - 47 = 3125", "Add 47 to both sides: -2x = 3172", "Divide both sides by -2: x = -1586"], "final_answer": "-1586", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 17) + 4 = 5(x + 625)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 17, \"c\": 4, \"d\": 5, \"e\": 625}", "seed": "3812216647307394979", "semantic_fingerprint": "sha256:f2d7cd33b35effa9477c04f273e43863ea785b5da3dae6e57c910cf5be113fd3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005275", "prompt": "Compute: (-37 - 5 - (-61)) * 1", "solution_steps": ["Subtract: -37 - 5 = -42", "Subtract: -42 - (-61) = 19", "Multiply: 19 * 1 = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "(-37 - 5 - (-61)) * 1", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 5, \"c\": -61, \"d\": 1}", "seed": "8381748433394454210", "semantic_fingerprint": "sha256:a1f12f9b1f531eafe6c67399eaea462b73048df35e8065b61c05191d6a38d2ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005276", "prompt": "Solve for x: -3x = 3(x + 30) - 150", "solution_steps": ["Expand: -3x = 3x + 90 - 150", "Combine constants: -3x = 3x - 60", "Subtract 3x from both sides: -6x = -60", "Divide both sides by -6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = 3(x + 30) - 150", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 30, \"e\": -150, \"x\": 10}", "seed": "4748418613956931998", "semantic_fingerprint": "sha256:10cd4c1a6d806c87a5a277979e70b2151c6e24a8840e1a401e035508613baa24", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005277", "prompt": "Solve for x: -9(x + 14) - 3 = x + 335", "solution_steps": ["Expand: -9x - 126 - 3 = x + 335", "Combine constants: -9x - 129 = x + 335", "Subtract x from both sides: -10x - 129 = 335", "Add 129 to both sides: -10x = 464", "Divide both sides by -10: x = -232/5"], "final_answer": "-232/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 14) - 3 = x + 335", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 14, \"c\": 3, \"d\": 335}", "seed": "7702980328422788171", "semantic_fingerprint": "sha256:8cc950c4c1c6397df07d16d6eab55a9fccab16bd5dac7f205eba57786a9db4ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005278", "prompt": "Solve the equation 3x - 47 = 6x - 104 for x.", "solution_steps": ["Subtract 6x from both sides: -3x - 47 = -104", "Add 47 to both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 47 = 6x - 104", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 47, \"c\": 6, \"e\": -104, \"x\": 19}", "seed": "10811400344378027842", "semantic_fingerprint": "sha256:f60f82969f599a195ca44b4a433415d41fcf41b60be34c409f061db804005b42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005279", "prompt": "Find x: 2(x + 2) = 9(x - 2) + 36", "solution_steps": ["Expand: 2x + 4 = 9(x - 2) + 36", "Expand: 2x + 4 = 9x - 18 + 36", "Combine constants: 2x + 4 = 9x + 18", "Subtract 9x from both sides: -7x + 4 = 18", "Subtract 4 from both sides: -7x = 14", "Divide both sides by -7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) = 9(x - 2) + 36", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 9, \"d\": 2, \"f\": 36, \"x\": -2}", "seed": "12415995506840524015", "semantic_fingerprint": "sha256:c6e1b328dd59d12b895d2fec679e4ac687edf2ce09b105212294f0a948bc91ef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005280", "prompt": "What is 7 / (60 + 73) - 0 / 782?", "solution_steps": ["Add: 60 + 73 = 133", "Divide: 7 / 133 = 1/19", "Divide: 0 / 782 = 0", "Subtract: 1/19 - 0 = 1/19"], "final_answer": "1/19", "answer_type": "rational", "kind": "expression", "math_text": "7 / (60 + 73) - 0 / 782", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 60, \"c\": 73, \"d\": 0, \"e\": 782}", "seed": "1923465538272750249", "semantic_fingerprint": "sha256:4b1d70355251d5704495d68dabcc5b31fe00cf9bbcd311e5fe4aa2cc3065a71d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005281", "prompt": "What value of x satisfies -5x - 193 = 2(x - 93)?", "solution_steps": ["Expand: -5x - 193 = 2x - 186", "Subtract 2x from both sides: -7x - 193 = -186", "Add 193 to both sides: -7x = 7", "Divide both sides by -7: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 193 = 2(x - 93)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 93, \"e\": -193, \"x\": -1}", "seed": "599446911340489429", "semantic_fingerprint": "sha256:1f311b8adf1d90646c903ee320a3a260d9414769acc5a637c19d78f391dc2fdf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005282", "prompt": "What value of x satisfies 9x - 732 = -8x - 477?", "solution_steps": ["Add 8x to both sides: 17x - 732 = -477", "Add 732 to both sides: 17x = 255", "Divide both sides by 17: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 732 = -8x - 477", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 732, \"c\": -8, \"e\": -477, \"x\": 15}", "seed": "5245161173570780043", "semantic_fingerprint": "sha256:fd4ae7d01369fa00459fccc516149549c72acfe4cc294c024af6906cb288e68d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005283", "prompt": "Find x: 7(x - 67) + 994 = 12(x + 40)", "solution_steps": ["Expand: 7x - 469 + 994 = 12(x + 40)", "Expand: 7x - 469 + 994 = 12x + 480", "Combine constants: 7x + 525 = 12x + 480", "Subtract 12x from both sides: -5x + 525 = 480", "Subtract 525 from both sides: -5x = -45", "Divide both sides by -5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 67) + 994 = 12(x + 40)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 67, \"c\": 12, \"d\": 40, \"f\": 994, \"x\": 9}", "seed": "12087139421210844872", "semantic_fingerprint": "sha256:79c8f5034467588181478bc0548074c0a27a46e8ba74082a5fd0aba9747360d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005284", "prompt": "Find x: -10(x - 690) + 612 = 4(x + 885)", "solution_steps": ["Expand: -10x + 6900 + 612 = 4(x + 885)", "Expand: -10x + 6900 + 612 = 4x + 3540", "Combine constants: -10x + 7512 = 4x + 3540", "Subtract 4x from both sides: -14x + 7512 = 3540", "Subtract 7512 from both sides: -14x = -3972", "Divide both sides by -14: x = 1986/7"], "final_answer": "1986/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 690) + 612 = 4(x + 885)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 690, \"c\": 612, \"d\": 4, \"e\": 885}", "seed": "7448628743769980766", "semantic_fingerprint": "sha256:245fb049129b5b9ef1998529a17f86f63287acde58bc00a673448b96b197b3e2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005285", "prompt": "Find x: 7(x + 89) = 9(x - 55) + 87", "solution_steps": ["Expand: 7x + 623 = 9(x - 55) + 87", "Expand: 7x + 623 = 9x - 495 + 87", "Combine constants: 7x + 623 = 9x - 408", "Subtract 9x from both sides: -2x + 623 = -408", "Subtract 623 from both sides: -2x = -1031", "Divide both sides by -2: x = 1031/2"], "final_answer": "1031/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 89) = 9(x - 55) + 87", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 89, \"c\": 9, \"d\": 55, \"e\": 87}", "seed": "1459050451709423580", "semantic_fingerprint": "sha256:acbb3b164ab8ac4d22eb49f8eae71b2127f2b60d7e7a752fc778e686a9a5ec6b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005286", "prompt": "Calculate: -251 * (-5) * (-668 + 789 - 2 * (-47))", "solution_steps": ["Multiply: -251 * (-5) = 1255", "Add: -668 + 789 = 121", "Multiply: 2 * (-47) = -94", "Subtract: 121 - (-94) = 215", "Multiply: 1255 * 215 = 269825"], "final_answer": "269825", "answer_type": "integer", "kind": "expression", "math_text": "-251 * (-5) * (-668 + 789 - 2 * (-47))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -251, \"b\": -5, \"c\": -668, \"d\": 789, \"e\": 2, \"f\": -47}", "seed": "12911013368249692732", "semantic_fingerprint": "sha256:ce9db30da24a0af26ecdf7aea7ff94ef0795e7c3c7d16f54d49922ceab71a27f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005287", "prompt": "What is -205 / ((6 - 286) / 3 / (-270))?", "solution_steps": ["Subtract: 6 - 286 = -280", "Divide: -280 / 3 = -280/3", "Divide: (-280/3) / (-270) = 28/81", "Divide: -205 / (28/81) = -16605/28"], "final_answer": "-16605/28", "answer_type": "rational", "kind": "expression", "math_text": "-205 / ((6 - 286) / 3 / (-270))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -205, \"b\": 6, \"c\": 286, \"d\": 3, \"e\": -270}", "seed": "6170589570093940346", "semantic_fingerprint": "sha256:6ce232bda20151d7340db93d31698f9c505b6173f38ba354adab880661cb1c10", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005288", "prompt": "Compute: 6 * (2 / (83 - (-238 - (-6)) * (-7)))", "solution_steps": ["Subtract: -238 - (-6) = -232", "Multiply: -232 * (-7) = 1624", "Subtract: 83 - 1624 = -1541", "Divide: 2 / (-1541) = -2/1541", "Multiply: 6 * (-2/1541) = -12/1541"], "final_answer": "-12/1541", "answer_type": "rational", "kind": "expression", "math_text": "6 * (2 / (83 - (-238 - (-6)) * (-7)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ n (- n (* (- n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 83, \"d\": -238, \"e\": -6, \"f\": -7}", "seed": "10835860851688362965", "semantic_fingerprint": "sha256:2a7623527455e35a0d94e4169855662b0bb5ccea52bb212c3e807b721eced13f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005289", "prompt": "What is (-14 * (-2 - (-40) / (-474)) + 7) * (-25)?", "solution_steps": ["Divide: -40 / (-474) = 20/237", "Subtract: -2 - 20/237 = -494/237", "Multiply: -14 * (-494/237) = 6916/237", "Add: 6916/237 + 7 = 8575/237", "Multiply: (8575/237) * (-25) = -214375/237"], "final_answer": "-214375/237", "answer_type": "rational", "kind": "expression", "math_text": "(-14 * (-2 - (-40) / (-474)) + 7) * (-25)", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n (- n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -2, \"c\": -40, \"d\": -474, \"e\": 7, \"f\": -25}", "seed": "14584352752198740771", "semantic_fingerprint": "sha256:163c24d588f15b63377092d0bfb996703904fc08500c557ea080c39703cf7bcb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005290", "prompt": "Solve the equation 10(x + 74) + 2 = x + 598 for x.", "solution_steps": ["Expand: 10x + 740 + 2 = x + 598", "Combine constants: 10x + 742 = x + 598", "Subtract x from both sides: 9x + 742 = 598", "Subtract 742 from both sides: 9x = -144", "Divide both sides by 9: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 74) + 2 = x + 598", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 74, \"c\": 2, \"e\": 598, \"x\": -16}", "seed": "14410510422512172789", "semantic_fingerprint": "sha256:94a40558a9bb366769079ed57ed60d043e9a09947e334ac9ce08756b0953669d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005291", "prompt": "Compute: -6 * ((466 * (-43) + 2) / (-16 + (-9)))", "solution_steps": ["Multiply: 466 * (-43) = -20038", "Add: -20038 + 2 = -20036", "Add: -16 + (-9) = -25", "Divide: -20036 / (-25) = 20036/25", "Multiply: -6 * (20036/25) = -120216/25"], "final_answer": "-120216/25", "answer_type": "rational", "kind": "expression", "math_text": "-6 * ((466 * (-43) + 2) / (-16 + (-9)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ (* n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 466, \"c\": -43, \"d\": 2, \"e\": -16, \"f\": -9}", "seed": "17630751233946343238", "semantic_fingerprint": "sha256:8f3a659152332672edb286c360ec7f4406b96663d40138390387ee8de158383c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005292", "prompt": "What is -270 * 15 * (3 / 9)?", "solution_steps": ["Multiply: -270 * 15 = -4050", "Divide: 3 / 9 = 1/3", "Multiply: -4050 * (1/3) = -1350"], "final_answer": "-1350", "answer_type": "integer", "kind": "expression", "math_text": "-270 * 15 * (3 / 9)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -270, \"b\": 15, \"c\": 3, \"d\": 9}", "seed": "2970793631485010650", "semantic_fingerprint": "sha256:7ec425858c9e357d15cec6602ba0ffa933f8d0698e150038fe88fcc694988834", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005293", "prompt": "Evaluate: -3 * 49 - (-9) + (9 - (-54))", "solution_steps": ["Multiply: -3 * 49 = -147", "Subtract: -147 - (-9) = -138", "Subtract: 9 - (-54) = 63", "Add: -138 + 63 = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 49 - (-9) + (9 - (-54))", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 49, \"c\": -9, \"d\": 9, \"e\": -54}", "seed": "5619706340171279641", "semantic_fingerprint": "sha256:02cafe769eb007b2bfc19d88a73629b093410dd04e707d501a9fec16f8620be2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005294", "prompt": "Calculate: -47 / (-170) + 9 - 830 + (-514)", "solution_steps": ["Divide: -47 / (-170) = 47/170", "Add: 47/170 + 9 = 1577/170", "Subtract: 1577/170 - 830 = -139523/170", "Add: -139523/170 + (-514) = -226903/170"], "final_answer": "-226903/170", "answer_type": "rational", "kind": "expression", "math_text": "-47 / (-170) + 9 - 830 + (-514)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": -170, \"c\": 9, \"d\": 830, \"e\": -514}", "seed": "7416279166680110042", "semantic_fingerprint": "sha256:028ac2fc8c6af53e53444a13f704200b4cd7aa478080a4ccd12b2b29deb3152f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005295", "prompt": "Compute: (31 + 2) / (56 + 2)", "solution_steps": ["Add: 31 + 2 = 33", "Add: 56 + 2 = 58", "Divide: 33 / 58 = 33/58"], "final_answer": "33/58", "answer_type": "rational", "kind": "expression", "math_text": "(31 + 2) / (56 + 2)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 2, \"c\": 56, \"d\": 2}", "seed": "1831038203066967035", "semantic_fingerprint": "sha256:809cbc0cc1f777331d162a86cd8a0def24bdebb1918b0155093eaf12424274fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005296", "prompt": "Calculate: 928 - (-9 + (-561 + (-2) / (-182)))", "solution_steps": ["Divide: -2 / (-182) = 1/91", "Add: -561 + 1/91 = -51050/91", "Add: -9 + (-51050/91) = -51869/91", "Subtract: 928 - (-51869/91) = 136317/91"], "final_answer": "136317/91", "answer_type": "rational", "kind": "expression", "math_text": "928 - (-9 + (-561 + (-2) / (-182)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 928, \"b\": -9, \"c\": -561, \"d\": -2, \"e\": -182}", "seed": "15672656841812387325", "semantic_fingerprint": "sha256:0967c4374f6865bb4fa4d543fb0600cc7c72afad84f3d6f156d9e1b119680c05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005297", "prompt": "What value of x satisfies 3x = 12(x + 20) - 177?", "solution_steps": ["Expand: 3x = 12x + 240 - 177", "Combine constants: 3x = 12x + 63", "Subtract 12x from both sides: -9x = 63", "Divide both sides by -9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 12(x + 20) - 177", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 12, \"c\": 20, \"e\": -177, \"x\": -7}", "seed": "12038174145318323935", "semantic_fingerprint": "sha256:d4f3f949409b8522f7683d4f5983ca3e7ae2e6d4f9e84810658d6638d2f41b3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005298", "prompt": "Find x: -11x - 615 = 12x - 891", "solution_steps": ["Subtract 12x from both sides: -23x - 615 = -891", "Add 615 to both sides: -23x = -276", "Divide both sides by -23: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 615 = 12x - 891", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 615, \"c\": 12, \"e\": -891, \"x\": 12}", "seed": "422573369699498146", "semantic_fingerprint": "sha256:cb9751fc44c6063e9791561d2b404cf68a78ffa5a96988bfd8887013abe217fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005299", "prompt": "Calculate: -42 * (-437 / (9 / 7)) + (-3)", "solution_steps": ["Divide: 9 / 7 = 9/7", "Divide: -437 / (9/7) = -3059/9", "Multiply: -42 * (-3059/9) = 42826/3", "Add: 42826/3 + (-3) = 42817/3"], "final_answer": "42817/3", "answer_type": "rational", "kind": "expression", "math_text": "-42 * (-437 / (9 / 7)) + (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -437, \"c\": 9, \"d\": 7, \"e\": -3}", "seed": "9674519633989811016", "semantic_fingerprint": "sha256:e9953337908c0a605da75cc0ef0cbbe828918a0dc9901d576759871cd61842d2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005300", "prompt": "What is -37 - 71 / 295 - (-6)?", "solution_steps": ["Divide: 71 / 295 = 71/295", "Subtract: -37 - 71/295 = -10986/295", "Subtract: -10986/295 - (-6) = -9216/295"], "final_answer": "-9216/295", "answer_type": "rational", "kind": "expression", "math_text": "-37 - 71 / 295 - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 71, \"c\": 295, \"d\": -6}", "seed": "6574240824527200075", "semantic_fingerprint": "sha256:0372f7100435ce56413fc4e8c10ecb7a64d4ca34676607f3ee7e314219664f5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005301", "prompt": "What value of x satisfies 2x - 2 = 4x - 20?", "solution_steps": ["Subtract 4x from both sides: -2x - 2 = -20", "Add 2 to both sides: -2x = -18", "Divide both sides by -2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 2 = 4x - 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 4, \"e\": -20, \"x\": 9}", "seed": "3011786781450350787", "semantic_fingerprint": "sha256:b3c75c1d02283f5dd9539713ec7a8c9a3320d5a73fcaa2c7ca2d7822cbd3cc11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005302", "prompt": "What value of x satisfies 3x - 2 = 5x - 1?", "solution_steps": ["Subtract 5x from both sides: -2x - 2 = -1", "Add 2 to both sides: -2x = 1", "Divide both sides by -2: x = -1/2"], "final_answer": "-1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 2 = 5x - 1", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 5, \"d\": 1}", "seed": "2612236736447983077", "semantic_fingerprint": "sha256:03b8f49514bcea9242e337c5428ab57e28b508ddfab8f2a2868f8afa8d2913e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005303", "prompt": "What value of x satisfies 9x - 772 = 10(x - 79)?", "solution_steps": ["Expand: 9x - 772 = 10x - 790", "Subtract 10x from both sides: -x - 772 = -790", "Add 772 to both sides: -x = -18", "Divide both sides by -1: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 772 = 10(x - 79)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 79, \"e\": -772, \"x\": 18}", "seed": "979242337987682238", "semantic_fingerprint": "sha256:53be70506964538db912a5f5d1c97d1b3626db012181ef80e9ca06fe8898b088", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005304", "prompt": "Find x: -10(x - 79) - 361 = x + 209", "solution_steps": ["Expand: -10x + 790 - 361 = x + 209", "Combine constants: -10x + 429 = x + 209", "Subtract x from both sides: -11x + 429 = 209", "Subtract 429 from both sides: -11x = -220", "Divide both sides by -11: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 79) - 361 = x + 209", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 79, \"c\": 361, \"e\": 209, \"x\": 20}", "seed": "466811840655696946", "semantic_fingerprint": "sha256:25b05e76fbf2d2376f52b5c8903756af7ef3206d1a8bee2a7b83612888ed01e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005305", "prompt": "Compute: (78 - 8 - (-227) + 4) * (-4) - 35", "solution_steps": ["Subtract: 78 - 8 = 70", "Subtract: 70 - (-227) = 297", "Add: 297 + 4 = 301", "Multiply: 301 * (-4) = -1204", "Subtract: -1204 - 35 = -1239"], "final_answer": "-1239", "answer_type": "integer", "kind": "expression", "math_text": "(78 - 8 - (-227) + 4) * (-4) - 35", "variable": null, "family": "expression_5op", "shape": "(- (* (+ (- (- n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 8, \"c\": -227, \"d\": 4, \"e\": -4, \"f\": 35}", "seed": "11938478657717115383", "semantic_fingerprint": "sha256:4348be1d6f4156830113b3d1359585715663073ba89aacc6b9275f9992c35bae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005306", "prompt": "Solve for x: -11x = 6(x + 3) + 5", "solution_steps": ["Expand: -11x = 6x + 18 + 5", "Combine constants: -11x = 6x + 23", "Subtract 6x from both sides: -17x = 23", "Divide both sides by -17: x = -23/17"], "final_answer": "-23/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = 6(x + 3) + 5", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 3, \"d\": 5}", "seed": "9958694551332006056", "semantic_fingerprint": "sha256:7c4b9449fd886b22a0a6974ed5800535d080b296cdd8f02069688f37d28f2f90", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005307", "prompt": "Calculate: -32 / (-889 * 0 + 85) / (209 - (-3))", "solution_steps": ["Multiply: -889 * 0 = 0", "Add: 0 + 85 = 85", "Divide: -32 / 85 = -32/85", "Subtract: 209 - (-3) = 212", "Divide: (-32/85) / 212 = -8/4505"], "final_answer": "-8/4505", "answer_type": "rational", "kind": "expression", "math_text": "-32 / (-889 * 0 + 85) / (209 - (-3))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (+ (* n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -889, \"c\": 0, \"d\": 85, \"e\": 209, \"f\": -3}", "seed": "6260896284288593649", "semantic_fingerprint": "sha256:89c9a35a2121a0e5de2d6a12e9acee699a7bfac47ed196670c15dbfa5cc07972", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005308", "prompt": "Calculate: -6 * (-63 + (-1) * 7)", "solution_steps": ["Multiply: -1 * 7 = -7", "Add: -63 + (-7) = -70", "Multiply: -6 * (-70) = 420"], "final_answer": "420", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-63 + (-1) * 7)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -63, \"c\": -1, \"d\": 7}", "seed": "10296780680115836144", "semantic_fingerprint": "sha256:58049841f104f0ab24e799ce315f0ec9876f9dc6434afa7df9bea2bcba6c044c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005309", "prompt": "Find x: -10(x + 8) - 5 = x + 91", "solution_steps": ["Expand: -10x - 80 - 5 = x + 91", "Combine constants: -10x - 85 = x + 91", "Subtract x from both sides: -11x - 85 = 91", "Add 85 to both sides: -11x = 176", "Divide both sides by -11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 8) - 5 = x + 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 8, \"c\": 5, \"e\": 91, \"x\": -16}", "seed": "15358973640789675365", "semantic_fingerprint": "sha256:676e4ae589eb944569b527d0679d5736b315654718ba5b261c87272575d65640", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005310", "prompt": "What is 28 + (-375) + (-218) - (2 + 44)?", "solution_steps": ["Add: 28 + (-375) = -347", "Add: -347 + (-218) = -565", "Add: 2 + 44 = 46", "Subtract: -565 - 46 = -611"], "final_answer": "-611", "answer_type": "integer", "kind": "expression", "math_text": "28 + (-375) + (-218) - (2 + 44)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -375, \"c\": -218, \"d\": 2, \"e\": 44}", "seed": "16083548561969834315", "semantic_fingerprint": "sha256:1f171b2b39de3208ad5c0d4e6a18ccf3b072c493b3561e0c8212ec1c39014a79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005311", "prompt": "Calculate: -36 + (-97 - 3) + 3", "solution_steps": ["Subtract: -97 - 3 = -100", "Add: -36 + (-100) = -136", "Add: -136 + 3 = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "expression", "math_text": "-36 + (-97 - 3) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -97, \"c\": 3, \"d\": 3}", "seed": "3382223204674708359", "semantic_fingerprint": "sha256:7ec17326b0d9ba02fb23d01c577979b7ae43c7d5c2a5296d0ddd568526cbb045", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005312", "prompt": "Solve the equation -6(x + 97) - 3 = x + 953 for x.", "solution_steps": ["Expand: -6x - 582 - 3 = x + 953", "Combine constants: -6x - 585 = x + 953", "Subtract x from both sides: -7x - 585 = 953", "Add 585 to both sides: -7x = 1538", "Divide both sides by -7: x = -1538/7"], "final_answer": "-1538/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 97) - 3 = x + 953", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 97, \"c\": 3, \"d\": 953}", "seed": "8049325906085441453", "semantic_fingerprint": "sha256:7f037f45a5c34ed3ea7741338d77f671174a177337575aa85589f6e49fdf1668", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005313", "prompt": "Solve for x: 5x = 2(x + 7) + 81", "solution_steps": ["Expand: 5x = 2x + 14 + 81", "Combine constants: 5x = 2x + 95", "Subtract 2x from both sides: 3x = 95", "Divide both sides by 3: x = 95/3"], "final_answer": "95/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 2(x + 7) + 81", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 7, \"d\": 81}", "seed": "12143798046041675678", "semantic_fingerprint": "sha256:f092125dafd6f2d13aab1ff06e13a7f90b23443c86f8bbd75c0a3920bfc236b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005314", "prompt": "Find x: -9x - 6 = -2x - 41", "solution_steps": ["Add 2x to both sides: -7x - 6 = -41", "Add 6 to both sides: -7x = -35", "Divide both sides by -7: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 6 = -2x - 41", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": -2, \"e\": -41, \"x\": 5}", "seed": "4061225563147730460", "semantic_fingerprint": "sha256:19e34b7548a7a805ce46bc745cb50aa6c07881b81f9d506e38a8dcac76bafaf2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005315", "prompt": "Find x: 6x = -3(x + 19) + 5", "solution_steps": ["Expand: 6x = -3x - 57 + 5", "Combine constants: 6x = -3x - 52", "Add 3x to both sides: 9x = -52", "Divide both sides by 9: x = -52/9"], "final_answer": "-52/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = -3(x + 19) + 5", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -3, \"c\": 19, \"d\": 5}", "seed": "7522735489031066761", "semantic_fingerprint": "sha256:5ce5e14117f3c4d327f14322f6ca08543c74d9117099556bf063841be5b8622d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005316", "prompt": "Compute: (-98 * 8 - (5 + (-27))) * 7", "solution_steps": ["Multiply: -98 * 8 = -784", "Add: 5 + (-27) = -22", "Subtract: -784 - (-22) = -762", "Multiply: -762 * 7 = -5334"], "final_answer": "-5334", "answer_type": "integer", "kind": "expression", "math_text": "(-98 * 8 - (5 + (-27))) * 7", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 8, \"c\": 5, \"d\": -27, \"e\": 7}", "seed": "3547995082872550536", "semantic_fingerprint": "sha256:aeb795579c1130f1b0d036c81c11a78ed86fc25490d0722388ef548c885d627d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005317", "prompt": "Evaluate: 494 * 512 + 3 * (-63)", "solution_steps": ["Multiply: 494 * 512 = 252928", "Multiply: 3 * (-63) = -189", "Add: 252928 + (-189) = 252739"], "final_answer": "252739", "answer_type": "integer", "kind": "expression", "math_text": "494 * 512 + 3 * (-63)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 494, \"b\": 512, \"c\": 3, \"d\": -63}", "seed": "512414204757222304", "semantic_fingerprint": "sha256:34a4dd9e75c51e2f8396320cc43308713ca6a1082b4eb6559c6361ed2bb1c099", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005318", "prompt": "Evaluate: (-4 - (-5 - 64)) * (-78 + (-60))", "solution_steps": ["Subtract: -5 - 64 = -69", "Subtract: -4 - (-69) = 65", "Add: -78 + (-60) = -138", "Multiply: 65 * (-138) = -8970"], "final_answer": "-8970", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - (-5 - 64)) * (-78 + (-60))", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -5, \"c\": 64, \"d\": -78, \"e\": -60}", "seed": "8999323297464818279", "semantic_fingerprint": "sha256:3e94a30c9cf31ab45586b1d41544ff3e4d5c0be7eab674248fda7ef298ad08b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005319", "prompt": "What is -92 * 85 + 100 * 84?", "solution_steps": ["Multiply: -92 * 85 = -7820", "Multiply: 100 * 84 = 8400", "Add: -7820 + 8400 = 580"], "final_answer": "580", "answer_type": "integer", "kind": "expression", "math_text": "-92 * 85 + 100 * 84", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 85, \"c\": 100, \"d\": 84}", "seed": "11139637788749247634", "semantic_fingerprint": "sha256:e1a78edd290dac6da8ae6feb6e46d4d4078cf5745e4c6bde1cf9fe06fc0ce943", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005320", "prompt": "Evaluate: -23 * (3 / 65) * (78 * (-95))", "solution_steps": ["Divide: 3 / 65 = 3/65", "Multiply: -23 * (3/65) = -69/65", "Multiply: 78 * (-95) = -7410", "Multiply: (-69/65) * (-7410) = 7866"], "final_answer": "7866", "answer_type": "integer", "kind": "expression", "math_text": "-23 * (3 / 65) * (78 * (-95))", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 3, \"c\": 65, \"d\": 78, \"e\": -95}", "seed": "16769277787680922494", "semantic_fingerprint": "sha256:4478dae11045e93b17371474891ed1b364c006067c3abcea5e1f5fcf27c378f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005321", "prompt": "Calculate: (4 - (-77 + (-201))) / 6 + 16", "solution_steps": ["Add: -77 + (-201) = -278", "Subtract: 4 - (-278) = 282", "Divide: 282 / 6 = 47", "Add: 47 + 16 = 63"], "final_answer": "63", "answer_type": "integer", "kind": "expression", "math_text": "(4 - (-77 + (-201))) / 6 + 16", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -77, \"c\": -201, \"d\": 6, \"e\": 16}", "seed": "1638981110881968667", "semantic_fingerprint": "sha256:e25a7cf3dc8fcf18fd00bb5c41139289e25ce929284bd0025b6b0180ff6093e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005322", "prompt": "Solve the equation 3(x + 9) - 150 = x + 14 for x.", "solution_steps": ["Expand: 3x + 27 - 150 = x + 14", "Combine constants: 3x - 123 = x + 14", "Subtract x from both sides: 2x - 123 = 14", "Add 123 to both sides: 2x = 137", "Divide both sides by 2: x = 137/2"], "final_answer": "137/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 9) - 150 = x + 14", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 150, \"d\": 14}", "seed": "14617496517647619441", "semantic_fingerprint": "sha256:971fd89f2889692127778d1d6eb134c5eea7da17d0ed45f7ed759c6e2cccb1de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005323", "prompt": "Solve for x: 4x = 7(x + 22) - 124", "solution_steps": ["Expand: 4x = 7x + 154 - 124", "Combine constants: 4x = 7x + 30", "Subtract 7x from both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 7(x + 22) - 124", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 22, \"e\": -124, \"x\": -10}", "seed": "11293072229896554346", "semantic_fingerprint": "sha256:ea1c397c7af8d1e75c3bbbb1505d67978ee29970b8976f83a567a70cdfd9ee13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005324", "prompt": "Compute: -55 * 841 + 17 + 86", "solution_steps": ["Multiply: -55 * 841 = -46255", "Add: -46255 + 17 = -46238", "Add: -46238 + 86 = -46152"], "final_answer": "-46152", "answer_type": "integer", "kind": "expression", "math_text": "-55 * 841 + 17 + 86", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 841, \"c\": 17, \"d\": 86}", "seed": "1630298832684556074", "semantic_fingerprint": "sha256:aa7600a0cfddfa09696b51c18b1edc7a551497c59c567da4a4b1d085097559d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005325", "prompt": "Find x: -7x = 11(x + 2) - 310", "solution_steps": ["Expand: -7x = 11x + 22 - 310", "Combine constants: -7x = 11x - 288", "Subtract 11x from both sides: -18x = -288", "Divide both sides by -18: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 11(x + 2) - 310", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 11, \"c\": 2, \"e\": -310, \"x\": 16}", "seed": "1716804625974702308", "semantic_fingerprint": "sha256:7f8221d43bc14f5f7649ade8daded7c29aaca62789cd6bd69cb31f17e83bb7b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005326", "prompt": "Compute: 45 * (-58) - ((-513 + (-77)) / (-52) - 20)", "solution_steps": ["Multiply: 45 * (-58) = -2610", "Add: -513 + (-77) = -590", "Divide: -590 / (-52) = 295/26", "Subtract: 295/26 - 20 = -225/26", "Subtract: -2610 - (-225/26) = -67635/26"], "final_answer": "-67635/26", "answer_type": "rational", "kind": "expression", "math_text": "45 * (-58) - ((-513 + (-77)) / (-52) - 20)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (/ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -58, \"c\": -513, \"d\": -77, \"e\": -52, \"f\": 20}", "seed": "15892767463377739300", "semantic_fingerprint": "sha256:892753f6bc70bac427cd1c19b350772c992b86fa8a6736a53f2366518a80c552", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005327", "prompt": "Calculate: 1 / (-3) * (-1 / (-682))", "solution_steps": ["Divide: 1 / (-3) = -1/3", "Divide: -1 / (-682) = 1/682", "Multiply: (-1/3) * (1/682) = -1/2046"], "final_answer": "-1/2046", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-3) * (-1 / (-682))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -3, \"c\": -1, \"d\": -682}", "seed": "9774871248469481597", "semantic_fingerprint": "sha256:6029a06af4c15f528bea24a6d4f58f84086b6f2c4a781c58cc669c58bab3527b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005328", "prompt": "Evaluate: -2 / 267 * (-5) * (3 * 677)", "solution_steps": ["Divide: -2 / 267 = -2/267", "Multiply: (-2/267) * (-5) = 10/267", "Multiply: 3 * 677 = 2031", "Multiply: (10/267) * 2031 = 6770/89"], "final_answer": "6770/89", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 267 * (-5) * (3 * 677)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 267, \"c\": -5, \"d\": 3, \"e\": 677}", "seed": "1344878506996068665", "semantic_fingerprint": "sha256:0de74a295911bceaf2ef4690c8f925ee7d0dbc7a95d79bd9b162e262bdce61d4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005329", "prompt": "Compute: -32 * 806 + 80 / (-96 - (-67))", "solution_steps": ["Multiply: -32 * 806 = -25792", "Subtract: -96 - (-67) = -29", "Divide: 80 / (-29) = -80/29", "Add: -25792 + (-80/29) = -748048/29"], "final_answer": "-748048/29", "answer_type": "rational", "kind": "expression", "math_text": "-32 * 806 + 80 / (-96 - (-67))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 806, \"c\": 80, \"d\": -96, \"e\": -67}", "seed": "15064066678822290395", "semantic_fingerprint": "sha256:17a6ac2ab86fdc5b532165eafc1445c45d26abc4e1c8658b4de9241a19cc8da4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005330", "prompt": "Evaluate: 50 * ((5 + 20 + 11) / (-53)) + (-40)", "solution_steps": ["Add: 5 + 20 = 25", "Add: 25 + 11 = 36", "Divide: 36 / (-53) = -36/53", "Multiply: 50 * (-36/53) = -1800/53", "Add: -1800/53 + (-40) = -3920/53"], "final_answer": "-3920/53", "answer_type": "rational", "kind": "expression", "math_text": "50 * ((5 + 20 + 11) / (-53)) + (-40)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ (+ (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 5, \"c\": 20, \"d\": 11, \"e\": -53, \"f\": -40}", "seed": "11195617239055397182", "semantic_fingerprint": "sha256:ecc01cca764b5c1eea70c6543e87cdcdb23a39b480e5b1427c94462421c6ef65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005331", "prompt": "Solve the equation 5x - 271 = 6(x - 48) for x.", "solution_steps": ["Expand: 5x - 271 = 6x - 288", "Subtract 6x from both sides: -x - 271 = -288", "Add 271 to both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 271 = 6(x - 48)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 48, \"e\": -271, \"x\": 17}", "seed": "132778026584196130", "semantic_fingerprint": "sha256:684bee199c7162af7a77135618a07df2e12b42023f5d74775167a71dcfd8c3c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005332", "prompt": "What value of x satisfies 12x - 30 = 7x - 10?", "solution_steps": ["Subtract 7x from both sides: 5x - 30 = -10", "Add 30 to both sides: 5x = 20", "Divide both sides by 5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 30 = 7x - 10", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 30, \"c\": 7, \"e\": -10, \"x\": 4}", "seed": "2987275567189684192", "semantic_fingerprint": "sha256:ab5ce53c95dde09d614f400e31a03e480afbb1b02792965eec958d41bf0c6bef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005333", "prompt": "Compute: -34 - (-629) + (-69) / (-2 - (-57))", "solution_steps": ["Subtract: -34 - (-629) = 595", "Subtract: -2 - (-57) = 55", "Divide: -69 / 55 = -69/55", "Add: 595 + (-69/55) = 32656/55"], "final_answer": "32656/55", "answer_type": "rational", "kind": "expression", "math_text": "-34 - (-629) + (-69) / (-2 - (-57))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -629, \"c\": -69, \"d\": -2, \"e\": -57}", "seed": "242742841007925597", "semantic_fingerprint": "sha256:4d6385ecec877e33aabc77e475ab5b0a330a081d768522482e6d3db13a0f14b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005334", "prompt": "What is 6 * 7 + 66 + 149?", "solution_steps": ["Multiply: 6 * 7 = 42", "Add: 42 + 66 = 108", "Add: 108 + 149 = 257"], "final_answer": "257", "answer_type": "integer", "kind": "expression", "math_text": "6 * 7 + 66 + 149", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 66, \"d\": 149}", "seed": "10686727888273152992", "semantic_fingerprint": "sha256:eec19c3f2fc366d7971146130809ee87c01ce481b4ca5d8dc9c4846aaa74af21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005335", "prompt": "What value of x satisfies 6(x + 3) + 604 = x + 617?", "solution_steps": ["Expand: 6x + 18 + 604 = x + 617", "Combine constants: 6x + 622 = x + 617", "Subtract x from both sides: 5x + 622 = 617", "Subtract 622 from both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 3) + 604 = x + 617", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 604, \"e\": 617, \"x\": -1}", "seed": "535079695649979062", "semantic_fingerprint": "sha256:c54358e0e7e93e9fd74c98d85d597f8a5a4349bc4cafb644fc6312a97d7dec1a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005336", "prompt": "Evaluate: 0 / (52 + 89) + 132 * 82", "solution_steps": ["Add: 52 + 89 = 141", "Divide: 0 / 141 = 0", "Multiply: 132 * 82 = 10824", "Add: 0 + 10824 = 10824"], "final_answer": "10824", "answer_type": "integer", "kind": "expression", "math_text": "0 / (52 + 89) + 132 * 82", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 52, \"c\": 89, \"d\": 132, \"e\": 82}", "seed": "1457522323890418145", "semantic_fingerprint": "sha256:ca32110ff8df2aee0a8ee0f34456d8435037e56f51e9285f016a75d55f96baf7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005337", "prompt": "Solve the equation 5x - 71 = 3(x - 32) for x.", "solution_steps": ["Expand: 5x - 71 = 3x - 96", "Subtract 3x from both sides: 2x - 71 = -96", "Add 71 to both sides: 2x = -25", "Divide both sides by 2: x = -25/2"], "final_answer": "-25/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 71 = 3(x - 32)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 71, \"c\": 3, \"d\": 32}", "seed": "4969244769877181080", "semantic_fingerprint": "sha256:b9b8d1b7efce4ceb929cd73f9d7225a781e3aeba9d008fd33e32c1462230c325", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005338", "prompt": "Calculate: 24 * (-432) - (18 / 23 - 64)", "solution_steps": ["Multiply: 24 * (-432) = -10368", "Divide: 18 / 23 = 18/23", "Subtract: 18/23 - 64 = -1454/23", "Subtract: -10368 - (-1454/23) = -237010/23"], "final_answer": "-237010/23", "answer_type": "rational", "kind": "expression", "math_text": "24 * (-432) - (18 / 23 - 64)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -432, \"c\": 18, \"d\": 23, \"e\": 64}", "seed": "13837295669543052637", "semantic_fingerprint": "sha256:7f18829e040fbf2a161e86968d862f51d6d9e9a6f607a1cf94ac53ed007a4708", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005339", "prompt": "Evaluate: 3 * (-780) + (-568) + (-68)", "solution_steps": ["Multiply: 3 * (-780) = -2340", "Add: -2340 + (-568) = -2908", "Add: -2908 + (-68) = -2976"], "final_answer": "-2976", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-780) + (-568) + (-68)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -780, \"c\": -568, \"d\": -68}", "seed": "15538109962878706174", "semantic_fingerprint": "sha256:75a8779eb41d143e58812c18feada77729d9822904a8bb39d81bbc8b65600b28", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005340", "prompt": "What value of x satisfies -9x = -7(x + 75) - 2?", "solution_steps": ["Expand: -9x = -7x - 525 - 2", "Combine constants: -9x = -7x - 527", "Add 7x to both sides: -2x = -527", "Divide both sides by -2: x = 527/2"], "final_answer": "527/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = -7(x + 75) - 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": 75, \"d\": 2}", "seed": "3596649326602631332", "semantic_fingerprint": "sha256:d2e680b6dfff884ce8b199711ffa580f017fe2d7a264ef6f922cd9061abe4f60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005341", "prompt": "Calculate: 45 / 27 / (8 * 665) * 98", "solution_steps": ["Divide: 45 / 27 = 5/3", "Multiply: 8 * 665 = 5320", "Divide: (5/3) / 5320 = 1/3192", "Multiply: (1/3192) * 98 = 7/228"], "final_answer": "7/228", "answer_type": "rational", "kind": "expression", "math_text": "45 / 27 / (8 * 665) * 98", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 27, \"c\": 8, \"d\": 665, \"e\": 98}", "seed": "4539143550949149086", "semantic_fingerprint": "sha256:55e75b38e24584781403e9b9c371550c5dd89875e35dd6d30eb2a0127574efca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005342", "prompt": "What is -55 * (20 - (-96 + 189) + (-8))?", "solution_steps": ["Add: -96 + 189 = 93", "Subtract: 20 - 93 = -73", "Add: -73 + (-8) = -81", "Multiply: -55 * (-81) = 4455"], "final_answer": "4455", "answer_type": "integer", "kind": "expression", "math_text": "-55 * (20 - (-96 + 189) + (-8))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 20, \"c\": -96, \"d\": 189, \"e\": -8}", "seed": "14881511696819100221", "semantic_fingerprint": "sha256:e1b29078fc760bcb1453e1889d04128b55a83040aacc849146178e58c7aeae5a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005343", "prompt": "Evaluate: (-26 / (-18) - 2) * (-10)", "solution_steps": ["Divide: -26 / (-18) = 13/9", "Subtract: 13/9 - 2 = -5/9", "Multiply: (-5/9) * (-10) = 50/9"], "final_answer": "50/9", "answer_type": "rational", "kind": "expression", "math_text": "(-26 / (-18) - 2) * (-10)", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -18, \"c\": 2, \"d\": -10}", "seed": "10389604024215656565", "semantic_fingerprint": "sha256:b93ee1118d0f6e6747ea25de9e656c961a1bb2072c7318252576b60e50162940", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005344", "prompt": "Solve the equation 8(x - 3) - 58 = x + 23 for x.", "solution_steps": ["Expand: 8x - 24 - 58 = x + 23", "Combine constants: 8x - 82 = x + 23", "Subtract x from both sides: 7x - 82 = 23", "Add 82 to both sides: 7x = 105", "Divide both sides by 7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) - 58 = x + 23", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 58, \"e\": 23, \"x\": 15}", "seed": "14140405409028738458", "semantic_fingerprint": "sha256:3ac4c3fbe5fab76d3b71eff7c7e0124a56d2f80a14186a3c93f091971157cc16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005345", "prompt": "What value of x satisfies 5(x + 53) - 13 = x + 200?", "solution_steps": ["Expand: 5x + 265 - 13 = x + 200", "Combine constants: 5x + 252 = x + 200", "Subtract x from both sides: 4x + 252 = 200", "Subtract 252 from both sides: 4x = -52", "Divide both sides by 4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 53) - 13 = x + 200", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 53, \"c\": 13, \"e\": 200, \"x\": -13}", "seed": "8401771576288888479", "semantic_fingerprint": "sha256:c4a604797628540de79ca63472406936d02a4304b2e0a2284aa0ae8ca91aa716", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005346", "prompt": "Find x: -8x - 50 = -10(x - 7)", "solution_steps": ["Expand: -8x - 50 = -10x + 70", "Add 10x to both sides: 2x - 50 = 70", "Add 50 to both sides: 2x = 120", "Divide both sides by 2: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 50 = -10(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 50, \"c\": -10, \"d\": 7}", "seed": "8612518055558917548", "semantic_fingerprint": "sha256:c4f9a4278f06476b230020dcb0e5bafff0c6359220f02ae9ea3c67d58ad89aac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005347", "prompt": "Find x: 6(x + 5) + 946 = x + 3", "solution_steps": ["Expand: 6x + 30 + 946 = x + 3", "Combine constants: 6x + 976 = x + 3", "Subtract x from both sides: 5x + 976 = 3", "Subtract 976 from both sides: 5x = -973", "Divide both sides by 5: x = -973/5"], "final_answer": "-973/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 5) + 946 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 946, \"d\": 3}", "seed": "9234051789649088177", "semantic_fingerprint": "sha256:7674a8d51ee5551cc26a7678b1fe26eab4e40e04aaecdd55a506fe9c37f4e4cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005348", "prompt": "Evaluate: (36 - (-2)) / (-86) * (-6 - (-88))", "solution_steps": ["Subtract: 36 - (-2) = 38", "Divide: 38 / (-86) = -19/43", "Subtract: -6 - (-88) = 82", "Multiply: (-19/43) * 82 = -1558/43"], "final_answer": "-1558/43", "answer_type": "rational", "kind": "expression", "math_text": "(36 - (-2)) / (-86) * (-6 - (-88))", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -2, \"c\": -86, \"d\": -6, \"e\": -88}", "seed": "12064013119045342390", "semantic_fingerprint": "sha256:0af61139525df62cba7577f56f872cd4c66edc57192c70d1667c23b4363ebaf7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005349", "prompt": "What is -33 / (-66 + 963) * (0 * 810)?", "solution_steps": ["Add: -66 + 963 = 897", "Divide: -33 / 897 = -11/299", "Multiply: 0 * 810 = 0", "Multiply: (-11/299) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-33 / (-66 + 963) * (0 * 810)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -66, \"c\": 963, \"d\": 0, \"e\": 810}", "seed": "3408068423598775046", "semantic_fingerprint": "sha256:85ab246c8eb0f4f1976ea62c1ca03844dd55df81b14dc7035525f6807280e3c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005350", "prompt": "Find x: 7x = -4(x + 52) + 32", "solution_steps": ["Expand: 7x = -4x - 208 + 32", "Combine constants: 7x = -4x - 176", "Add 4x to both sides: 11x = -176", "Divide both sides by 11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -4(x + 52) + 32", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -4, \"c\": 52, \"e\": 32, \"x\": -16}", "seed": "1133030942714650844", "semantic_fingerprint": "sha256:b9c4f6637a031ed50eccf15f8015195dc340ffd597f3edc061c7bbbc14a07363", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005351", "prompt": "Compute: (-38 + 71) / (3 + 30)", "solution_steps": ["Add: -38 + 71 = 33", "Add: 3 + 30 = 33", "Divide: 33 / 33 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "(-38 + 71) / (3 + 30)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 71, \"c\": 3, \"d\": 30}", "seed": "7022032821205176004", "semantic_fingerprint": "sha256:29096183fbb1c848004626545994f8e51a797814c966fcb2f17177a384e66e05", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005352", "prompt": "Solve for x: 2(x + 412) - 27 = x + 781", "solution_steps": ["Expand: 2x + 824 - 27 = x + 781", "Combine constants: 2x + 797 = x + 781", "Subtract x from both sides: x + 797 = 781", "Subtract 797 from both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 412) - 27 = x + 781", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 412, \"c\": 27, \"e\": 781, \"x\": -16}", "seed": "12532127700218111625", "semantic_fingerprint": "sha256:024c89494ef0d706d3839e992d50e8843e24fbd865d266e26a5de18d6ef39527", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005353", "prompt": "Evaluate: -84 / 4 * (221 / (-68))", "solution_steps": ["Divide: -84 / 4 = -21", "Divide: 221 / (-68) = -13/4", "Multiply: -21 * (-13/4) = 273/4"], "final_answer": "273/4", "answer_type": "rational", "kind": "expression", "math_text": "-84 / 4 * (221 / (-68))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 4, \"c\": 221, \"d\": -68}", "seed": "12649469092449189615", "semantic_fingerprint": "sha256:07bb2a6bd4b517c31af292778ef83763a11b30fe5b309b9ce6e5231958a1310a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005354", "prompt": "Solve the equation -2(x + 3) = 10(x - 43) + 376 for x.", "solution_steps": ["Expand: -2x - 6 = 10(x - 43) + 376", "Expand: -2x - 6 = 10x - 430 + 376", "Combine constants: -2x - 6 = 10x - 54", "Subtract 10x from both sides: -12x - 6 = -54", "Add 6 to both sides: -12x = -48", "Divide both sides by -12: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 3) = 10(x - 43) + 376", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 10, \"d\": 43, \"f\": 376, \"x\": 4}", "seed": "7576139882479221082", "semantic_fingerprint": "sha256:f30d7feec62de924ac2a4075545b9bb0abd611e7a5941ed1b85761566b97b878", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005355", "prompt": "What is -67 - 37 * ((163 + (-825)) / 12)?", "solution_steps": ["Add: 163 + (-825) = -662", "Divide: -662 / 12 = -331/6", "Multiply: 37 * (-331/6) = -12247/6", "Subtract: -67 - (-12247/6) = 11845/6"], "final_answer": "11845/6", "answer_type": "rational", "kind": "expression", "math_text": "-67 - 37 * ((163 + (-825)) / 12)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (/ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 37, \"c\": 163, \"d\": -825, \"e\": 12}", "seed": "777828937015382970", "semantic_fingerprint": "sha256:4b124f5921c8f5150649a1889809c8de834dc8333affd6fcf56aa99838dd79e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005356", "prompt": "Compute: -737 / (-52) / 8 - 12", "solution_steps": ["Divide: -737 / (-52) = 737/52", "Divide: (737/52) / 8 = 737/416", "Subtract: 737/416 - 12 = -4255/416"], "final_answer": "-4255/416", "answer_type": "rational", "kind": "expression", "math_text": "-737 / (-52) / 8 - 12", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -737, \"b\": -52, \"c\": 8, \"d\": 12}", "seed": "4355856898566254880", "semantic_fingerprint": "sha256:206af1923fc5c978ceca5f2e23739c4ec6861c9061261fde2f479ebfc4ca609e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005357", "prompt": "Compute: 947 / (-8 / (-27) / 2 + (-5 + 9))", "solution_steps": ["Divide: -8 / (-27) = 8/27", "Divide: (8/27) / 2 = 4/27", "Add: -5 + 9 = 4", "Add: 4/27 + 4 = 112/27", "Divide: 947 / (112/27) = 25569/112"], "final_answer": "25569/112", "answer_type": "rational", "kind": "expression", "math_text": "947 / (-8 / (-27) / 2 + (-5 + 9))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (/ (/ n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 947, \"b\": -8, \"c\": -27, \"d\": 2, \"e\": -5, \"f\": 9}", "seed": "12121860571725554039", "semantic_fingerprint": "sha256:8bea2971643d28e609c74641c6c3c020fb9bb784c86d4b5e506d12fcfbb97dab", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005358", "prompt": "What is -99 * (-87) / (-7 * 38 + (-3))?", "solution_steps": ["Multiply: -99 * (-87) = 8613", "Multiply: -7 * 38 = -266", "Add: -266 + (-3) = -269", "Divide: 8613 / (-269) = -8613/269"], "final_answer": "-8613/269", "answer_type": "rational", "kind": "expression", "math_text": "-99 * (-87) / (-7 * 38 + (-3))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -87, \"c\": -7, \"d\": 38, \"e\": -3}", "seed": "16351167306374532363", "semantic_fingerprint": "sha256:93837bcdae00a6e5a63963f99df6c3ae304767c4f443a568464209f506af886d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005359", "prompt": "Find x: 9(x + 70) - 2 = x + 660", "solution_steps": ["Expand: 9x + 630 - 2 = x + 660", "Combine constants: 9x + 628 = x + 660", "Subtract x from both sides: 8x + 628 = 660", "Subtract 628 from both sides: 8x = 32", "Divide both sides by 8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 70) - 2 = x + 660", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 70, \"c\": 2, \"e\": 660, \"x\": 4}", "seed": "4170066554911440254", "semantic_fingerprint": "sha256:3812094cc260977df7cd50706b158e62816b455ce4555001dcb3a1f82be54e62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005360", "prompt": "Calculate: -1 * 2 + (-8 - 93)", "solution_steps": ["Multiply: -1 * 2 = -2", "Subtract: -8 - 93 = -101", "Add: -2 + (-101) = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 2 + (-8 - 93)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 2, \"c\": -8, \"d\": 93}", "seed": "18274160332048233661", "semantic_fingerprint": "sha256:affab5f8ee13a35d9ced3d287cfe2e2111d4cc02cf66562d99a59ff49ef73049", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005361", "prompt": "Compute: 0 - (-60) / (-17) + (-58 - (-93 + (-60)))", "solution_steps": ["Divide: -60 / (-17) = 60/17", "Subtract: 0 - 60/17 = -60/17", "Add: -93 + (-60) = -153", "Subtract: -58 - (-153) = 95", "Add: -60/17 + 95 = 1555/17"], "final_answer": "1555/17", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-60) / (-17) + (-58 - (-93 + (-60)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -60, \"c\": -17, \"d\": -58, \"e\": -93, \"f\": -60}", "seed": "2766773854575169937", "semantic_fingerprint": "sha256:13a723fb395ea6070d1d725ee5409802f118f50915350da942547ae11a098004", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005362", "prompt": "Find x: 2x = 7(x + 806) + 610", "solution_steps": ["Expand: 2x = 7x + 5642 + 610", "Combine constants: 2x = 7x + 6252", "Subtract 7x from both sides: -5x = 6252", "Divide both sides by -5: x = -6252/5"], "final_answer": "-6252/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 7(x + 806) + 610", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 806, \"d\": 610}", "seed": "10029127834236877674", "semantic_fingerprint": "sha256:9820f9ba90363dacd4ba20670fb95affcebc32be930acaca977ca69297b17020", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005363", "prompt": "Evaluate: 796 + (-88 * 0 - 88) - 42 / 241", "solution_steps": ["Multiply: -88 * 0 = 0", "Subtract: 0 - 88 = -88", "Add: 796 + (-88) = 708", "Divide: 42 / 241 = 42/241", "Subtract: 708 - 42/241 = 170586/241"], "final_answer": "170586/241", "answer_type": "rational", "kind": "expression", "math_text": "796 + (-88 * 0 - 88) - 42 / 241", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- (* n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 796, \"b\": -88, \"c\": 0, \"d\": 88, \"e\": 42, \"f\": 241}", "seed": "10727334608743787310", "semantic_fingerprint": "sha256:e8d6deee9aeca98d3cabde3c461251671caef73ea69ad2036b86502808c70fbe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005364", "prompt": "Find x: -4(x + 10) - 30 = x + 27", "solution_steps": ["Expand: -4x - 40 - 30 = x + 27", "Combine constants: -4x - 70 = x + 27", "Subtract x from both sides: -5x - 70 = 27", "Add 70 to both sides: -5x = 97", "Divide both sides by -5: x = -97/5"], "final_answer": "-97/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 10) - 30 = x + 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 10, \"c\": 30, \"d\": 27}", "seed": "2268109962533302552", "semantic_fingerprint": "sha256:fc0106dc8be6a9f99bd6e38feec4dfc6db059c8fc42f9af2efd1fd3b639caedc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005365", "prompt": "Solve the equation 8(x + 503) - 607 = x + 91 for x.", "solution_steps": ["Expand: 8x + 4024 - 607 = x + 91", "Combine constants: 8x + 3417 = x + 91", "Subtract x from both sides: 7x + 3417 = 91", "Subtract 3417 from both sides: 7x = -3326", "Divide both sides by 7: x = -3326/7"], "final_answer": "-3326/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 503) - 607 = x + 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 503, \"c\": 607, \"d\": 91}", "seed": "14299164635661450728", "semantic_fingerprint": "sha256:3af5ef90ecf07fe343cce575a0abcbe2e73791278e872e6b5ddec4b365b7ff59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005366", "prompt": "Solve for x: 8x - 54 = 3(x - 922)", "solution_steps": ["Expand: 8x - 54 = 3x - 2766", "Subtract 3x from both sides: 5x - 54 = -2766", "Add 54 to both sides: 5x = -2712", "Divide both sides by 5: x = -2712/5"], "final_answer": "-2712/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 54 = 3(x - 922)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 54, \"c\": 3, \"d\": 922}", "seed": "14440550738644723544", "semantic_fingerprint": "sha256:130fc38b3eed57238fbb341414055437d931f0b99ba366c4f0a43577fe10219b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005367", "prompt": "Calculate: 84 / 5 * (-55 * (-323)) + (-715) - (-53)", "solution_steps": ["Divide: 84 / 5 = 84/5", "Multiply: -55 * (-323) = 17765", "Multiply: (84/5) * 17765 = 298452", "Add: 298452 + (-715) = 297737", "Subtract: 297737 - (-53) = 297790"], "final_answer": "297790", "answer_type": "integer", "kind": "expression", "math_text": "84 / 5 * (-55 * (-323)) + (-715) - (-53)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* (/ n n) (* n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 5, \"c\": -55, \"d\": -323, \"e\": -715, \"f\": -53}", "seed": "4189081398216283057", "semantic_fingerprint": "sha256:ee5343263d452b3927b0fbd37ce049d06000fc088439ac6911e172d3e9379591", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005368", "prompt": "What is 70 * (-7) + (-8 - (-85))?", "solution_steps": ["Multiply: 70 * (-7) = -490", "Subtract: -8 - (-85) = 77", "Add: -490 + 77 = -413"], "final_answer": "-413", "answer_type": "integer", "kind": "expression", "math_text": "70 * (-7) + (-8 - (-85))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -7, \"c\": -8, \"d\": -85}", "seed": "4536494141998181441", "semantic_fingerprint": "sha256:9068ab290af06a87a9fd3d4af3f6144a3b2de413c389bf3eeca5b4f320d0d000", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005369", "prompt": "What is 538 / (17 / 3) + (-87)?", "solution_steps": ["Divide: 17 / 3 = 17/3", "Divide: 538 / (17/3) = 1614/17", "Add: 1614/17 + (-87) = 135/17"], "final_answer": "135/17", "answer_type": "rational", "kind": "expression", "math_text": "538 / (17 / 3) + (-87)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 538, \"b\": 17, \"c\": 3, \"d\": -87}", "seed": "10344849876984563403", "semantic_fingerprint": "sha256:21d8992ad013fb8e4b94945e119cea88fe2160368026d5e41dbcd4327105913b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005370", "prompt": "Evaluate: 65 * (183 / (-1) + (481 + 131))", "solution_steps": ["Divide: 183 / (-1) = -183", "Add: 481 + 131 = 612", "Add: -183 + 612 = 429", "Multiply: 65 * 429 = 27885"], "final_answer": "27885", "answer_type": "integer", "kind": "expression", "math_text": "65 * (183 / (-1) + (481 + 131))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 183, \"c\": -1, \"d\": 481, \"e\": 131}", "seed": "16476421911081045360", "semantic_fingerprint": "sha256:28dff51df9eb7a524ac7ae6dc1c13f9fd314bd27d4c0a0eae81efdfc210851b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005371", "prompt": "What value of x satisfies 12(x + 9) - 58 = x + 1?", "solution_steps": ["Expand: 12x + 108 - 58 = x + 1", "Combine constants: 12x + 50 = x + 1", "Subtract x from both sides: 11x + 50 = 1", "Subtract 50 from both sides: 11x = -49", "Divide both sides by 11: x = -49/11"], "final_answer": "-49/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 9) - 58 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 58, \"d\": 1}", "seed": "17696258664935791121", "semantic_fingerprint": "sha256:2c939be77befbac386b09b24865a843a78bec93b6ac058f26ee387e55affdada", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005372", "prompt": "Find x: 10(x + 33) + 58 = x + 406", "solution_steps": ["Expand: 10x + 330 + 58 = x + 406", "Combine constants: 10x + 388 = x + 406", "Subtract x from both sides: 9x + 388 = 406", "Subtract 388 from both sides: 9x = 18", "Divide both sides by 9: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 33) + 58 = x + 406", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 33, \"c\": 58, \"e\": 406, \"x\": 2}", "seed": "11519924261961999117", "semantic_fingerprint": "sha256:14bceaf9400ff67b4d39cb20f0dc2809fe3fd1fefbba9c82f46a55e00085ccbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005373", "prompt": "Calculate: (212 + 20) / (778 + 783)", "solution_steps": ["Add: 212 + 20 = 232", "Add: 778 + 783 = 1561", "Divide: 232 / 1561 = 232/1561"], "final_answer": "232/1561", "answer_type": "rational", "kind": "expression", "math_text": "(212 + 20) / (778 + 783)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 212, \"b\": 20, \"c\": 778, \"d\": 783}", "seed": "8749110263967784346", "semantic_fingerprint": "sha256:7c8ff81791abbc7c671c00f89570d06952d91307337877c23769f5dd832c4b01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005374", "prompt": "Compute: 41 * (36 + (-664) * (-7))", "solution_steps": ["Multiply: -664 * (-7) = 4648", "Add: 36 + 4648 = 4684", "Multiply: 41 * 4684 = 192044"], "final_answer": "192044", "answer_type": "integer", "kind": "expression", "math_text": "41 * (36 + (-664) * (-7))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 36, \"c\": -664, \"d\": -7}", "seed": "9252569657522615734", "semantic_fingerprint": "sha256:313a2f5ef749b7983f933503696e8074e1bdfeb7625076ff2b0da9799346ce68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005375", "prompt": "What value of x satisfies -5x = 5(x + 7) + 45?", "solution_steps": ["Expand: -5x = 5x + 35 + 45", "Combine constants: -5x = 5x + 80", "Subtract 5x from both sides: -10x = 80", "Divide both sides by -10: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 5(x + 7) + 45", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 7, \"e\": 45, \"x\": -8}", "seed": "6801178174178633605", "semantic_fingerprint": "sha256:d8802eac3a21a5f0afe9c4925432233c0962863577a8e510ccf2e879972c48f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005376", "prompt": "Solve the equation -7x = 3(x + 46) - 98 for x.", "solution_steps": ["Expand: -7x = 3x + 138 - 98", "Combine constants: -7x = 3x + 40", "Subtract 3x from both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 3(x + 46) - 98", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 46, \"e\": -98, \"x\": -4}", "seed": "4728169806031105241", "semantic_fingerprint": "sha256:aa3e7a3bb4370ec78062905869a26a8e3227688f2fdc305af58fba05a9815bb5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005377", "prompt": "Compute: 623 / 86 * 4 - 718 * (-3)", "solution_steps": ["Divide: 623 / 86 = 623/86", "Multiply: (623/86) * 4 = 1246/43", "Multiply: 718 * (-3) = -2154", "Subtract: 1246/43 - (-2154) = 93868/43"], "final_answer": "93868/43", "answer_type": "rational", "kind": "expression", "math_text": "623 / 86 * 4 - 718 * (-3)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 623, \"b\": 86, \"c\": 4, \"d\": 718, \"e\": -3}", "seed": "12852208421267022500", "semantic_fingerprint": "sha256:093dcbc33e554e6551c04d4460eca186637d8747020584335c321c98dba6c548", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005378", "prompt": "Solve the equation 5(x + 4) - 70 = x + 26 for x.", "solution_steps": ["Expand: 5x + 20 - 70 = x + 26", "Combine constants: 5x - 50 = x + 26", "Subtract x from both sides: 4x - 50 = 26", "Add 50 to both sides: 4x = 76", "Divide both sides by 4: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 4) - 70 = x + 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 70, \"e\": 26, \"x\": 19}", "seed": "6857617693663527393", "semantic_fingerprint": "sha256:bd75dec753fbab9b1d595c05ae12d05b729d0ebd6c44bb0ff1e4eefaa9dcffac", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005379", "prompt": "Compute: (659 + (-43)) / (-660) + (-9)", "solution_steps": ["Add: 659 + (-43) = 616", "Divide: 616 / (-660) = -14/15", "Add: -14/15 + (-9) = -149/15"], "final_answer": "-149/15", "answer_type": "rational", "kind": "expression", "math_text": "(659 + (-43)) / (-660) + (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 659, \"b\": -43, \"c\": -660, \"d\": -9}", "seed": "8447909966819133860", "semantic_fingerprint": "sha256:bd516ece878978e109e5b6391d5b84e79faf84efc306d141242caf2760f91ea3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005380", "prompt": "What is 721 * (-25) / (-830) + (-8 - (-411))?", "solution_steps": ["Multiply: 721 * (-25) = -18025", "Divide: -18025 / (-830) = 3605/166", "Subtract: -8 - (-411) = 403", "Add: 3605/166 + 403 = 70503/166"], "final_answer": "70503/166", "answer_type": "rational", "kind": "expression", "math_text": "721 * (-25) / (-830) + (-8 - (-411))", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 721, \"b\": -25, \"c\": -830, \"d\": -8, \"e\": -411}", "seed": "14748984017234650331", "semantic_fingerprint": "sha256:0651784e6351f2c1538238affc90fec6130e15357763e6ee0995292e5209ea52", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005381", "prompt": "Evaluate: (-962 - (29 + (-4))) * (-992)", "solution_steps": ["Add: 29 + (-4) = 25", "Subtract: -962 - 25 = -987", "Multiply: -987 * (-992) = 979104"], "final_answer": "979104", "answer_type": "integer", "kind": "expression", "math_text": "(-962 - (29 + (-4))) * (-992)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -962, \"b\": 29, \"c\": -4, \"d\": -992}", "seed": "17811153686596315027", "semantic_fingerprint": "sha256:4ab06592437c33e5c6d3db416281f098f3aef237e466d849aea23bbe7f11b212", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005382", "prompt": "Find x: -8(x + 4) + 7 = x + 76", "solution_steps": ["Expand: -8x - 32 + 7 = x + 76", "Combine constants: -8x - 25 = x + 76", "Subtract x from both sides: -9x - 25 = 76", "Add 25 to both sides: -9x = 101", "Divide both sides by -9: x = -101/9"], "final_answer": "-101/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 4) + 7 = x + 76", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": 7, \"d\": 76}", "seed": "11852658421751174654", "semantic_fingerprint": "sha256:c1b73a3a363ee912932228bbc765a4a1bd0c59676effd2329ae1109823b230c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005383", "prompt": "Calculate: -4 * 24 * (76 * (7 + 5))", "solution_steps": ["Multiply: -4 * 24 = -96", "Add: 7 + 5 = 12", "Multiply: 76 * 12 = 912", "Multiply: -96 * 912 = -87552"], "final_answer": "-87552", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 24 * (76 * (7 + 5))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 24, \"c\": 76, \"d\": 7, \"e\": 5}", "seed": "17745389213294575970", "semantic_fingerprint": "sha256:4cc02c6a4c6b70975083b9ea225a77670f43fe1b47380549e1c170124178f5ff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005384", "prompt": "Evaluate: 987 - (-55 + 44) * 93 + 14", "solution_steps": ["Add: -55 + 44 = -11", "Multiply: -11 * 93 = -1023", "Subtract: 987 - (-1023) = 2010", "Add: 2010 + 14 = 2024"], "final_answer": "2024", "answer_type": "integer", "kind": "expression", "math_text": "987 - (-55 + 44) * 93 + 14", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 987, \"b\": -55, \"c\": 44, \"d\": 93, \"e\": 14}", "seed": "10632702366105398760", "semantic_fingerprint": "sha256:b138dab0029acedcfa22cd5423edd74f2362d10e2009f00965a575db708e0498", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005385", "prompt": "Solve for x: 7(x + 97) + 817 = x + 659", "solution_steps": ["Expand: 7x + 679 + 817 = x + 659", "Combine constants: 7x + 1496 = x + 659", "Subtract x from both sides: 6x + 1496 = 659", "Subtract 1496 from both sides: 6x = -837", "Divide both sides by 6: x = -279/2"], "final_answer": "-279/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 97) + 817 = x + 659", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 97, \"c\": 817, \"d\": 659}", "seed": "4023990259757597402", "semantic_fingerprint": "sha256:b8ed2adfbab37c3d1e9c73bcc33feef66ca1b739b2966b01e65a2c64bcd66e92", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005386", "prompt": "Find x: 4x - 2 = 6x - 12", "solution_steps": ["Subtract 6x from both sides: -2x - 2 = -12", "Add 2 to both sides: -2x = -10", "Divide both sides by -2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 2 = 6x - 12", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 6, \"e\": -12, \"x\": 5}", "seed": "15837831749830269027", "semantic_fingerprint": "sha256:d5355c8b7355260fb458e41f6dfc7f3f6f6104b579e6b24f2cf97e0de9c74366", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005387", "prompt": "Evaluate: -6 * (-56) + (-118) - (-82 / (-51) - 70)", "solution_steps": ["Multiply: -6 * (-56) = 336", "Add: 336 + (-118) = 218", "Divide: -82 / (-51) = 82/51", "Subtract: 82/51 - 70 = -3488/51", "Subtract: 218 - (-3488/51) = 14606/51"], "final_answer": "14606/51", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-56) + (-118) - (-82 / (-51) - 70)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -56, \"c\": -118, \"d\": -82, \"e\": -51, \"f\": 70}", "seed": "8972503702888049077", "semantic_fingerprint": "sha256:2eeaad398b220de3ca3ffa3f716d10cda5cbaa63ee793c16ce67845cf2846bbc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005388", "prompt": "Evaluate: -9 - (-7) * (34 / 703)", "solution_steps": ["Divide: 34 / 703 = 34/703", "Multiply: -7 * (34/703) = -238/703", "Subtract: -9 - (-238/703) = -6089/703"], "final_answer": "-6089/703", "answer_type": "rational", "kind": "expression", "math_text": "-9 - (-7) * (34 / 703)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": 34, \"d\": 703}", "seed": "11505423611458062177", "semantic_fingerprint": "sha256:31affc869b733d0865170b1aef99fdda0a6a27c974ef49b4d8d4d6073517d5a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005389", "prompt": "Evaluate: 62 * (-37 + (-592)) / (0 - 97)", "solution_steps": ["Add: -37 + (-592) = -629", "Multiply: 62 * (-629) = -38998", "Subtract: 0 - 97 = -97", "Divide: -38998 / (-97) = 38998/97"], "final_answer": "38998/97", "answer_type": "rational", "kind": "expression", "math_text": "62 * (-37 + (-592)) / (0 - 97)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -37, \"c\": -592, \"d\": 0, \"e\": 97}", "seed": "12691421427056215603", "semantic_fingerprint": "sha256:bc1a1f93f74005358d2935b37049f4589ee0de78243816eb10237f72aa9a4b4a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005390", "prompt": "Find x: 9(x - 3) + 2 = -7(x + 15)", "solution_steps": ["Expand: 9x - 27 + 2 = -7(x + 15)", "Expand: 9x - 27 + 2 = -7x - 105", "Combine constants: 9x - 25 = -7x - 105", "Add 7x to both sides: 16x - 25 = -105", "Add 25 to both sides: 16x = -80", "Divide both sides by 16: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) + 2 = -7(x + 15)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": -7, \"d\": 15, \"f\": 2, \"x\": -5}", "seed": "8484624049118162754", "semantic_fingerprint": "sha256:b8a2aab894fc1022f6210271191a8a1fc784b31531d07be0498ba551ce3be816", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005391", "prompt": "Compute: 73 / 49 * (50 / (-29))", "solution_steps": ["Divide: 73 / 49 = 73/49", "Divide: 50 / (-29) = -50/29", "Multiply: (73/49) * (-50/29) = -3650/1421"], "final_answer": "-3650/1421", "answer_type": "rational", "kind": "expression", "math_text": "73 / 49 * (50 / (-29))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 49, \"c\": 50, \"d\": -29}", "seed": "535630383510698955", "semantic_fingerprint": "sha256:a32a66215c7bf31fff6e5c59e3d5d01f19787350b970bd913b321c67a7e77fc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005392", "prompt": "Solve the equation 11(x - 2) + 79 = 12(x + 38) for x.", "solution_steps": ["Expand: 11x - 22 + 79 = 12(x + 38)", "Expand: 11x - 22 + 79 = 12x + 456", "Combine constants: 11x + 57 = 12x + 456", "Subtract 12x from both sides: -x + 57 = 456", "Subtract 57 from both sides: -x = 399", "Divide both sides by -1: x = -399"], "final_answer": "-399", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 2) + 79 = 12(x + 38)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 79, \"d\": 12, \"e\": 38}", "seed": "5235006857010902706", "semantic_fingerprint": "sha256:d42508727e3d5efe8b49abcc151946f41f1aa12c1f24bd4023386771f12e5a60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005393", "prompt": "Find x: 8x - 7 = 3x - 82", "solution_steps": ["Subtract 3x from both sides: 5x - 7 = -82", "Add 7 to both sides: 5x = -75", "Divide both sides by 5: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 7 = 3x - 82", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 3, \"e\": -82, \"x\": -15}", "seed": "814095107925588416", "semantic_fingerprint": "sha256:7a210c4e2d4e3282e2e86a37c91a1e86078b4f04fc2dca96d3483bce9f17431f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005394", "prompt": "Calculate: (93 - (90 - (-7))) * 9 + (3 + 4)", "solution_steps": ["Subtract: 90 - (-7) = 97", "Subtract: 93 - 97 = -4", "Multiply: -4 * 9 = -36", "Add: 3 + 4 = 7", "Add: -36 + 7 = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "expression", "math_text": "(93 - (90 - (-7))) * 9 + (3 + 4)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n (- n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 90, \"c\": -7, \"d\": 9, \"e\": 3, \"f\": 4}", "seed": "14830217358236853565", "semantic_fingerprint": "sha256:665487381b598792b979f78ada836da5e2137ada719a4369278fe54d96f8eced", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005395", "prompt": "Find x: 2x - 44 = 6x - 112", "solution_steps": ["Subtract 6x from both sides: -4x - 44 = -112", "Add 44 to both sides: -4x = -68", "Divide both sides by -4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 44 = 6x - 112", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 44, \"c\": 6, \"e\": -112, \"x\": 17}", "seed": "6893754512152675367", "semantic_fingerprint": "sha256:6219a4a3e8b9b2d0e431490e5c24308f7d76d4a68d5a2d98887a4975a1704de3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005396", "prompt": "Solve the equation 4x - 453 = -5x - 534 for x.", "solution_steps": ["Add 5x to both sides: 9x - 453 = -534", "Add 453 to both sides: 9x = -81", "Divide both sides by 9: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 453 = -5x - 534", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 453, \"c\": -5, \"e\": -534, \"x\": -9}", "seed": "17687964567432374946", "semantic_fingerprint": "sha256:e4c6658031257100df1d2e3d7e1034c66b32cf4e95801dd494cd7fca10d3357d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005397", "prompt": "What is 88 / 25 * (-64) - (25 + 7)?", "solution_steps": ["Divide: 88 / 25 = 88/25", "Multiply: (88/25) * (-64) = -5632/25", "Add: 25 + 7 = 32", "Subtract: -5632/25 - 32 = -6432/25"], "final_answer": "-6432/25", "answer_type": "rational", "kind": "expression", "math_text": "88 / 25 * (-64) - (25 + 7)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 25, \"c\": -64, \"d\": 25, \"e\": 7}", "seed": "13096530160745807746", "semantic_fingerprint": "sha256:0bcfd0b7c174fdc77ce1e79d520c02e8fc9878fa5bb62ec52a825a9049025435", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005398", "prompt": "Compute: 81 / 9 / (-3) + (-437 + (-38 + 7))", "solution_steps": ["Divide: 81 / 9 = 9", "Divide: 9 / (-3) = -3", "Add: -38 + 7 = -31", "Add: -437 + (-31) = -468", "Add: -3 + (-468) = -471"], "final_answer": "-471", "answer_type": "integer", "kind": "expression", "math_text": "81 / 9 / (-3) + (-437 + (-38 + 7))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 9, \"c\": -3, \"d\": -437, \"e\": -38, \"f\": 7}", "seed": "14349855793756511738", "semantic_fingerprint": "sha256:b883e16f18bf0cbcd3c695bf94124af926f3a6216aadeb6d7201bdab14a463b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005399", "prompt": "Solve for x: -6(x - 789) - 906 = x + 828", "solution_steps": ["Expand: -6x + 4734 - 906 = x + 828", "Combine constants: -6x + 3828 = x + 828", "Subtract x from both sides: -7x + 3828 = 828", "Subtract 3828 from both sides: -7x = -3000", "Divide both sides by -7: x = 3000/7"], "final_answer": "3000/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 789) - 906 = x + 828", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 789, \"c\": 906, \"d\": 828}", "seed": "3682552868488726988", "semantic_fingerprint": "sha256:1b515a7e22bbf282171c98b7ff113fcd87063fc96e1b40cc99cf2911190fde21", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005400", "prompt": "What value of x satisfies 4(x + 70) - 4 = x + 258?", "solution_steps": ["Expand: 4x + 280 - 4 = x + 258", "Combine constants: 4x + 276 = x + 258", "Subtract x from both sides: 3x + 276 = 258", "Subtract 276 from both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 70) - 4 = x + 258", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 70, \"c\": 4, \"e\": 258, \"x\": -6}", "seed": "11363260444975605570", "semantic_fingerprint": "sha256:f0894619754e160c95448ef27f792f284b45fa645e0d891db5a04c19938f23de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005401", "prompt": "What value of x satisfies 12(x - 9) - 9 = x + 4?", "solution_steps": ["Expand: 12x - 108 - 9 = x + 4", "Combine constants: 12x - 117 = x + 4", "Subtract x from both sides: 11x - 117 = 4", "Add 117 to both sides: 11x = 121", "Divide both sides by 11: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 9) - 9 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 9, \"d\": 4}", "seed": "12945743686876719197", "semantic_fingerprint": "sha256:8d6d0e470208a35748d514ceda46da11d203d818559408d7e0dc2766c5277ef0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005402", "prompt": "What value of x satisfies -2x - 584 = -3x - 600?", "solution_steps": ["Add 3x to both sides: x - 584 = -600", "Add 584 to both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 584 = -3x - 600", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 584, \"c\": -3, \"e\": -600, \"x\": -16}", "seed": "7473284384111791656", "semantic_fingerprint": "sha256:755f9566d730ffb8425dcb258ec6dc4b18272f644d4ac66cf316dcaec5fa914c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005403", "prompt": "Calculate: -63 / 6 - (-34) * 1 / 514", "solution_steps": ["Divide: -63 / 6 = -21/2", "Multiply: -34 * 1 = -34", "Divide: -34 / 514 = -17/257", "Subtract: -21/2 - (-17/257) = -5363/514"], "final_answer": "-5363/514", "answer_type": "rational", "kind": "expression", "math_text": "-63 / 6 - (-34) * 1 / 514", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 6, \"c\": -34, \"d\": 1, \"e\": 514}", "seed": "1845476108017593414", "semantic_fingerprint": "sha256:544b005a8e1158a909e77bcc049744b872da18537cc4b16e51db804642893eef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005404", "prompt": "Solve the equation 6x - 9 = 3x - 51 for x.", "solution_steps": ["Subtract 3x from both sides: 3x - 9 = -51", "Add 9 to both sides: 3x = -42", "Divide both sides by 3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 9 = 3x - 51", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 3, \"e\": -51, \"x\": -14}", "seed": "3607732907863847195", "semantic_fingerprint": "sha256:e20e8d18271053dca5378768e558f81fc84a2806e3a11a7d64fe44436e1ecdf7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005405", "prompt": "Solve the equation 4x - 533 = 10x - 984 for x.", "solution_steps": ["Subtract 10x from both sides: -6x - 533 = -984", "Add 533 to both sides: -6x = -451", "Divide both sides by -6: x = 451/6"], "final_answer": "451/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 533 = 10x - 984", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 533, \"c\": 10, \"d\": 984}", "seed": "5185489064237686174", "semantic_fingerprint": "sha256:b7377ce3ab71efa87a97018762ced0dbf05e25ed996bcbedf32b015d5b61f8cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005406", "prompt": "Find x: 8x = 3(x + 9) + 79", "solution_steps": ["Expand: 8x = 3x + 27 + 79", "Combine constants: 8x = 3x + 106", "Subtract 3x from both sides: 5x = 106", "Divide both sides by 5: x = 106/5"], "final_answer": "106/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = 3(x + 9) + 79", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 9, \"d\": 79}", "seed": "7998688158880079350", "semantic_fingerprint": "sha256:93a4d24e83cb5651a38369a8bfa99f8f4ab88517a57fbc3cc29b42651d5f5e07", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005407", "prompt": "Solve for x: -2(x - 50) - 9 = x + 34", "solution_steps": ["Expand: -2x + 100 - 9 = x + 34", "Combine constants: -2x + 91 = x + 34", "Subtract x from both sides: -3x + 91 = 34", "Subtract 91 from both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 50) - 9 = x + 34", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 50, \"c\": 9, \"e\": 34, \"x\": 19}", "seed": "8341584352536922932", "semantic_fingerprint": "sha256:57f97412af234b03fc6c460aa62b1ce4ff25af135879774d5f60a6052678b4b1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005408", "prompt": "Evaluate: 81 - (-954 + (32 + 15 + 59))", "solution_steps": ["Add: 32 + 15 = 47", "Add: 47 + 59 = 106", "Add: -954 + 106 = -848", "Subtract: 81 - (-848) = 929"], "final_answer": "929", "answer_type": "integer", "kind": "expression", "math_text": "81 - (-954 + (32 + 15 + 59))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -954, \"c\": 32, \"d\": 15, \"e\": 59}", "seed": "2705830284201725844", "semantic_fingerprint": "sha256:ee6d78462b38576f8e6626581446dcd2050db5d9695217769ba57c70600f23a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005409", "prompt": "Solve for x: 3x - 90 = 5x - 98", "solution_steps": ["Subtract 5x from both sides: -2x - 90 = -98", "Add 90 to both sides: -2x = -8", "Divide both sides by -2: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 90 = 5x - 98", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 90, \"c\": 5, \"e\": -98, \"x\": 4}", "seed": "7840023942170122838", "semantic_fingerprint": "sha256:ee693d8eab7d2e734fcefe879c0c3349457e85f48554531b347cd7f561f17495", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005410", "prompt": "What is -2 / 130 / (-31 / (-47)) + 6?", "solution_steps": ["Divide: -2 / 130 = -1/65", "Divide: -31 / (-47) = 31/47", "Divide: (-1/65) / (31/47) = -47/2015", "Add: -47/2015 + 6 = 12043/2015"], "final_answer": "12043/2015", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 130 / (-31 / (-47)) + 6", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 130, \"c\": -31, \"d\": -47, \"e\": 6}", "seed": "4043568747835526801", "semantic_fingerprint": "sha256:0fc43d6a9f38a1b7dad30da8d8c7e15f2330984172954ae83bcbc24184e0a5f1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005411", "prompt": "Calculate: 21 + (-65) + (-73 - (-99) - 6)", "solution_steps": ["Add: 21 + (-65) = -44", "Subtract: -73 - (-99) = 26", "Subtract: 26 - 6 = 20", "Add: -44 + 20 = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "21 + (-65) + (-73 - (-99) - 6)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -65, \"c\": -73, \"d\": -99, \"e\": 6}", "seed": "6241229647590468231", "semantic_fingerprint": "sha256:87ebaa0227314a44bc49e2046773367eb89a6292d5377369568c4bb5c9875b11", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005412", "prompt": "What is -887 / 71 * (66 / (-1))?", "solution_steps": ["Divide: -887 / 71 = -887/71", "Divide: 66 / (-1) = -66", "Multiply: (-887/71) * (-66) = 58542/71"], "final_answer": "58542/71", "answer_type": "rational", "kind": "expression", "math_text": "-887 / 71 * (66 / (-1))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -887, \"b\": 71, \"c\": 66, \"d\": -1}", "seed": "4619707080326344279", "semantic_fingerprint": "sha256:727c64399a61475bf1eea9aab63ad510bde3bfb97df93e34a8ed09469f1df975", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005413", "prompt": "Solve the equation 6(x - 65) - 3 = x + 20 for x.", "solution_steps": ["Expand: 6x - 390 - 3 = x + 20", "Combine constants: 6x - 393 = x + 20", "Subtract x from both sides: 5x - 393 = 20", "Add 393 to both sides: 5x = 413", "Divide both sides by 5: x = 413/5"], "final_answer": "413/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 65) - 3 = x + 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 65, \"c\": 3, \"d\": 20}", "seed": "7234559344217012904", "semantic_fingerprint": "sha256:8a118c19240618e3c66fabeb6502bfca770697a9436e8fb22fb3925477029621", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005414", "prompt": "Evaluate: 0 - 33 / ((15 + 1) / 8)", "solution_steps": ["Add: 15 + 1 = 16", "Divide: 16 / 8 = 2", "Divide: 33 / 2 = 33/2", "Subtract: 0 - 33/2 = -33/2"], "final_answer": "-33/2", "answer_type": "rational", "kind": "expression", "math_text": "0 - 33 / ((15 + 1) / 8)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 33, \"c\": 15, \"d\": 1, \"e\": 8}", "seed": "15248747351966787815", "semantic_fingerprint": "sha256:7142299854598ba9c4958cf2d6a5a5ca2c6495ef8ba5b3c99d37ea0ec8a9f073", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005415", "prompt": "Compute: 81 * (-1) + (-8 - 79)", "solution_steps": ["Multiply: 81 * (-1) = -81", "Subtract: -8 - 79 = -87", "Add: -81 + (-87) = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "expression", "math_text": "81 * (-1) + (-8 - 79)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -1, \"c\": -8, \"d\": 79}", "seed": "2067864729659224660", "semantic_fingerprint": "sha256:597275a5c7e1533ba9a74984f269dcf1180f4ee6214645658dd474f65d76bf3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005416", "prompt": "Compute: -69 / (-75) - (-49) * (-251 + 90)", "solution_steps": ["Divide: -69 / (-75) = 23/25", "Add: -251 + 90 = -161", "Multiply: -49 * (-161) = 7889", "Subtract: 23/25 - 7889 = -197202/25"], "final_answer": "-197202/25", "answer_type": "rational", "kind": "expression", "math_text": "-69 / (-75) - (-49) * (-251 + 90)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -75, \"c\": -49, \"d\": -251, \"e\": 90}", "seed": "5352806655845106994", "semantic_fingerprint": "sha256:b21e958c923245c02d40303d1f55a2c621aa365a14f4a0e98a67d901d8a857f9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005417", "prompt": "Find x: -10x - 156 = 7(x - 88)", "solution_steps": ["Expand: -10x - 156 = 7x - 616", "Subtract 7x from both sides: -17x - 156 = -616", "Add 156 to both sides: -17x = -460", "Divide both sides by -17: x = 460/17"], "final_answer": "460/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 156 = 7(x - 88)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 156, \"c\": 7, \"d\": 88}", "seed": "3990856168368677338", "semantic_fingerprint": "sha256:cc4e27adab44c86627cfd15a7a4a3e74ebb71bcde534c04bfbe547631801ffc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005418", "prompt": "What value of x satisfies 2x - 112 = 10(x - 12)?", "solution_steps": ["Expand: 2x - 112 = 10x - 120", "Subtract 10x from both sides: -8x - 112 = -120", "Add 112 to both sides: -8x = -8", "Divide both sides by -8: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 112 = 10(x - 12)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 12, \"e\": -112, \"x\": 1}", "seed": "14877000623071811352", "semantic_fingerprint": "sha256:83945987497ce9d2e68a1a19cea4469c298e8e1bfd62f68b397b076de652114c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005419", "prompt": "Calculate: -2 * (5 + (-13) * (-53))", "solution_steps": ["Multiply: -13 * (-53) = 689", "Add: 5 + 689 = 694", "Multiply: -2 * 694 = -1388"], "final_answer": "-1388", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (5 + (-13) * (-53))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": -13, \"d\": -53}", "seed": "8672963225870685678", "semantic_fingerprint": "sha256:1289f80460b768deb98562ba4a951c2642f9ac93eb39039ebf599482d1d76825", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005420", "prompt": "Evaluate: -7 / 82 - 3 * 70 / (-8)", "solution_steps": ["Divide: -7 / 82 = -7/82", "Multiply: 3 * 70 = 210", "Divide: 210 / (-8) = -105/4", "Subtract: -7/82 - (-105/4) = 4291/164"], "final_answer": "4291/164", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 82 - 3 * 70 / (-8)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 82, \"c\": 3, \"d\": 70, \"e\": -8}", "seed": "7875870863672403125", "semantic_fingerprint": "sha256:f4b368d3bb8da96d1280c5dd7a29a1d55555555594eaba7873355a6e0fda1a94", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005421", "prompt": "What value of x satisfies 11x - 55 = 7x - 95?", "solution_steps": ["Subtract 7x from both sides: 4x - 55 = -95", "Add 55 to both sides: 4x = -40", "Divide both sides by 4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 55 = 7x - 95", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 55, \"c\": 7, \"e\": -95, \"x\": -10}", "seed": "8803225780651124809", "semantic_fingerprint": "sha256:c9dddb1d6de5a7811ad327bbe65414558a47f7caa6d799e3a6f513daa9089f0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005422", "prompt": "What is -906 + (-6) * 97 - (1 + (-235))?", "solution_steps": ["Multiply: -6 * 97 = -582", "Add: -906 + (-582) = -1488", "Add: 1 + (-235) = -234", "Subtract: -1488 - (-234) = -1254"], "final_answer": "-1254", "answer_type": "integer", "kind": "expression", "math_text": "-906 + (-6) * 97 - (1 + (-235))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -906, \"b\": -6, \"c\": 97, \"d\": 1, \"e\": -235}", "seed": "8962715717954638121", "semantic_fingerprint": "sha256:2743b2d65eccb6702706c5bb8b6cf511846ade2dd154cd16333ad66281cf4c97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005423", "prompt": "Solve the equation 3x - 784 = 5(x - 158) for x.", "solution_steps": ["Expand: 3x - 784 = 5x - 790", "Subtract 5x from both sides: -2x - 784 = -790", "Add 784 to both sides: -2x = -6", "Divide both sides by -2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 784 = 5(x - 158)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 158, \"e\": -784, \"x\": 3}", "seed": "16252228888657288164", "semantic_fingerprint": "sha256:43492e02592a50db407949734174bfb0dda6e2eee60d6775730564dee17b7984", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005424", "prompt": "Evaluate: -7 * 67 * (-35 / (3 - 7))", "solution_steps": ["Multiply: -7 * 67 = -469", "Subtract: 3 - 7 = -4", "Divide: -35 / (-4) = 35/4", "Multiply: -469 * (35/4) = -16415/4"], "final_answer": "-16415/4", "answer_type": "rational", "kind": "expression", "math_text": "-7 * 67 * (-35 / (3 - 7))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 67, \"c\": -35, \"d\": 3, \"e\": 7}", "seed": "7802957784321024937", "semantic_fingerprint": "sha256:c5938048a62b697fbb871b3bca5c01b9e1c0dcc61aec34b4957f70e1adf58434", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005425", "prompt": "Compute: 420 - (-282) - 9 * (4 - (-8) - 8)", "solution_steps": ["Subtract: 420 - (-282) = 702", "Subtract: 4 - (-8) = 12", "Subtract: 12 - 8 = 4", "Multiply: 9 * 4 = 36", "Subtract: 702 - 36 = 666"], "final_answer": "666", "answer_type": "integer", "kind": "expression", "math_text": "420 - (-282) - 9 * (4 - (-8) - 8)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 420, \"b\": -282, \"c\": 9, \"d\": 4, \"e\": -8, \"f\": 8}", "seed": "1491292213265153918", "semantic_fingerprint": "sha256:fb2c1a98e73a72d2324c0f5c420205ec9641fd34ec8b1303745f303720ea5455", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005426", "prompt": "Solve for x: 6x - 6 = 3x - 3", "solution_steps": ["Subtract 3x from both sides: 3x - 6 = -3", "Add 6 to both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 6 = 3x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 3, \"e\": -3, \"x\": 1}", "seed": "4573118391804715150", "semantic_fingerprint": "sha256:887e2018ac763a7345ed45307be2a3521ad8adee8e07d5a99c146107b29ad072", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005427", "prompt": "What is 567 / (49 / (-763 - 813)) - 4?", "solution_steps": ["Subtract: -763 - 813 = -1576", "Divide: 49 / (-1576) = -49/1576", "Divide: 567 / (-49/1576) = -127656/7", "Subtract: -127656/7 - 4 = -127684/7"], "final_answer": "-127684/7", "answer_type": "rational", "kind": "expression", "math_text": "567 / (49 / (-763 - 813)) - 4", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 567, \"b\": 49, \"c\": -763, \"d\": 813, \"e\": 4}", "seed": "15478254490296526738", "semantic_fingerprint": "sha256:e527cbc30766e2de9c3acc651c2804f45b6256c1697d7a7f3c9cb33f00d61f94", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005428", "prompt": "Calculate: -92 - (-822 + (28 - (-445))) / (-6)", "solution_steps": ["Subtract: 28 - (-445) = 473", "Add: -822 + 473 = -349", "Divide: -349 / (-6) = 349/6", "Subtract: -92 - 349/6 = -901/6"], "final_answer": "-901/6", "answer_type": "rational", "kind": "expression", "math_text": "-92 - (-822 + (28 - (-445))) / (-6)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -822, \"c\": 28, \"d\": -445, \"e\": -6}", "seed": "10989730786120200070", "semantic_fingerprint": "sha256:e8c68909bbee37450d700fcad9335f36e0c5090ff1060537ccffd03a6d9bc66a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005429", "prompt": "What is (13 - (-4)) * (-25) / (701 - 943)?", "solution_steps": ["Subtract: 13 - (-4) = 17", "Multiply: 17 * (-25) = -425", "Subtract: 701 - 943 = -242", "Divide: -425 / (-242) = 425/242"], "final_answer": "425/242", "answer_type": "rational", "kind": "expression", "math_text": "(13 - (-4)) * (-25) / (701 - 943)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -4, \"c\": -25, \"d\": 701, \"e\": 943}", "seed": "17376380352448573681", "semantic_fingerprint": "sha256:3a79f3a2ef332aa22d1495390d2576376d18c8398051efa432f4ef87ee62b261", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005430", "prompt": "Evaluate: -9 * 24 + 375 + 0", "solution_steps": ["Multiply: -9 * 24 = -216", "Add: -216 + 375 = 159", "Add: 159 + 0 = 159"], "final_answer": "159", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 24 + 375 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 24, \"c\": 375, \"d\": 0}", "seed": "9469908031109180094", "semantic_fingerprint": "sha256:660a3acc218fc58ca452f061017e0f03390a5829802f25d85ee9a30c88fdb41b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005431", "prompt": "Compute: -6 / (-98) * (-4 / (-18))", "solution_steps": ["Divide: -6 / (-98) = 3/49", "Divide: -4 / (-18) = 2/9", "Multiply: (3/49) * (2/9) = 2/147"], "final_answer": "2/147", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-98) * (-4 / (-18))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -98, \"c\": -4, \"d\": -18}", "seed": "12000559581061473497", "semantic_fingerprint": "sha256:f168c025d5023dc23dfc60868ad0c3a81fa26224744d0368516b7b5e86d809d1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005432", "prompt": "What is -99 * (-68) + (-57 + 57) / 571?", "solution_steps": ["Multiply: -99 * (-68) = 6732", "Add: -57 + 57 = 0", "Divide: 0 / 571 = 0", "Add: 6732 + 0 = 6732"], "final_answer": "6732", "answer_type": "integer", "kind": "expression", "math_text": "-99 * (-68) + (-57 + 57) / 571", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -68, \"c\": -57, \"d\": 57, \"e\": 571}", "seed": "12202023526163027904", "semantic_fingerprint": "sha256:ff5b941c4a88e6bf63b4b0c2b21437d58bc9504b84f9bbcd5fe5179db9ce2072", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005433", "prompt": "Calculate: 598 * 273 + (-69 - 17)", "solution_steps": ["Multiply: 598 * 273 = 163254", "Subtract: -69 - 17 = -86", "Add: 163254 + (-86) = 163168"], "final_answer": "163168", "answer_type": "integer", "kind": "expression", "math_text": "598 * 273 + (-69 - 17)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 598, \"b\": 273, \"c\": -69, \"d\": 17}", "seed": "16906226612827804451", "semantic_fingerprint": "sha256:4dcd6e5de14ba96e8d5ea1a81b555a60939317ecead28277188cfe7d963f9d7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005434", "prompt": "Find x: 9(x + 983) = -10(x - 80) + 557", "solution_steps": ["Expand: 9x + 8847 = -10(x - 80) + 557", "Expand: 9x + 8847 = -10x + 800 + 557", "Combine constants: 9x + 8847 = -10x + 1357", "Add 10x to both sides: 19x + 8847 = 1357", "Subtract 8847 from both sides: 19x = -7490", "Divide both sides by 19: x = -7490/19"], "final_answer": "-7490/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 983) = -10(x - 80) + 557", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 983, \"c\": -10, \"d\": 80, \"e\": 557}", "seed": "3605020827955963775", "semantic_fingerprint": "sha256:2957bfecaa52e42a9409fa838593df90b0edc29dded4012f30c70429536c2150", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005435", "prompt": "Evaluate: (315 * 48 - (-441 + (-4))) * (-1)", "solution_steps": ["Multiply: 315 * 48 = 15120", "Add: -441 + (-4) = -445", "Subtract: 15120 - (-445) = 15565", "Multiply: 15565 * (-1) = -15565"], "final_answer": "-15565", "answer_type": "integer", "kind": "expression", "math_text": "(315 * 48 - (-441 + (-4))) * (-1)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 315, \"b\": 48, \"c\": -441, \"d\": -4, \"e\": -1}", "seed": "15279412592453271103", "semantic_fingerprint": "sha256:159c3d9a718de5216998c85ba8c85e1c8c2473aafe6bd76933fe492f1c27fda9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005436", "prompt": "What is -57 / 5 * (-4 / 61)?", "solution_steps": ["Divide: -57 / 5 = -57/5", "Divide: -4 / 61 = -4/61", "Multiply: (-57/5) * (-4/61) = 228/305"], "final_answer": "228/305", "answer_type": "rational", "kind": "expression", "math_text": "-57 / 5 * (-4 / 61)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 5, \"c\": -4, \"d\": 61}", "seed": "9699147951235297980", "semantic_fingerprint": "sha256:7da1209fe79f7234ca8d0c4aab9996dc9bf5684df87aadb930e3a2f354fcc659", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005437", "prompt": "Find x: -11(x + 464) + 430 = x + 2", "solution_steps": ["Expand: -11x - 5104 + 430 = x + 2", "Combine constants: -11x - 4674 = x + 2", "Subtract x from both sides: -12x - 4674 = 2", "Add 4674 to both sides: -12x = 4676", "Divide both sides by -12: x = -1169/3"], "final_answer": "-1169/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 464) + 430 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 464, \"c\": 430, \"d\": 2}", "seed": "5516503497813762259", "semantic_fingerprint": "sha256:c78afc32d41c999141349d734d2692c25ee3db9647816240edc2213e928618c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005438", "prompt": "What is (-97 + 885) / (-46 + (-444))?", "solution_steps": ["Add: -97 + 885 = 788", "Add: -46 + (-444) = -490", "Divide: 788 / (-490) = -394/245"], "final_answer": "-394/245", "answer_type": "rational", "kind": "expression", "math_text": "(-97 + 885) / (-46 + (-444))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 885, \"c\": -46, \"d\": -444}", "seed": "1493101118953091489", "semantic_fingerprint": "sha256:b5415f2045bc9ba5f1ae0ee571aa1fa122d0b10fd1523ecfd93922ee02c3e5a7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005439", "prompt": "What is (-78 + 619) / (-9) + (-945)?", "solution_steps": ["Add: -78 + 619 = 541", "Divide: 541 / (-9) = -541/9", "Add: -541/9 + (-945) = -9046/9"], "final_answer": "-9046/9", "answer_type": "rational", "kind": "expression", "math_text": "(-78 + 619) / (-9) + (-945)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 619, \"c\": -9, \"d\": -945}", "seed": "173212974956947609", "semantic_fingerprint": "sha256:03a63881e7b544c0edadda225984089a553f53a011fbbfa0f212492b01c5d7b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005440", "prompt": "Solve for x: 10x = 2(x + 5) - 74", "solution_steps": ["Expand: 10x = 2x + 10 - 74", "Combine constants: 10x = 2x - 64", "Subtract 2x from both sides: 8x = -64", "Divide both sides by 8: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 2(x + 5) - 74", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 5, \"e\": -74, \"x\": -8}", "seed": "11368039960408690953", "semantic_fingerprint": "sha256:73dc6709b4351b5e0bfc3084b988e7d2cb014b445d384f82fc123eddc0d17345", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005441", "prompt": "Calculate: (-62 + 539) / (472 + 0)", "solution_steps": ["Add: -62 + 539 = 477", "Add: 472 + 0 = 472", "Divide: 477 / 472 = 477/472"], "final_answer": "477/472", "answer_type": "rational", "kind": "expression", "math_text": "(-62 + 539) / (472 + 0)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 539, \"c\": 472, \"d\": 0}", "seed": "11951820827108421095", "semantic_fingerprint": "sha256:3e1565c1913706d3ce92cfce6282efc3d8346909f955e3a6aa1260f84a327677", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005442", "prompt": "Calculate: 942 * (20 + (-920)) + (-806 + (-148))", "solution_steps": ["Add: 20 + (-920) = -900", "Multiply: 942 * (-900) = -847800", "Add: -806 + (-148) = -954", "Add: -847800 + (-954) = -848754"], "final_answer": "-848754", "answer_type": "integer", "kind": "expression", "math_text": "942 * (20 + (-920)) + (-806 + (-148))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 942, \"b\": 20, \"c\": -920, \"d\": -806, \"e\": -148}", "seed": "4709309962013734747", "semantic_fingerprint": "sha256:63e1e80f0c52d93ef375809d4c03503714712c8533d28955198e514d8129484f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005443", "prompt": "Calculate: 550 - (8 + 731) / (-5)", "solution_steps": ["Add: 8 + 731 = 739", "Divide: 739 / (-5) = -739/5", "Subtract: 550 - (-739/5) = 3489/5"], "final_answer": "3489/5", "answer_type": "rational", "kind": "expression", "math_text": "550 - (8 + 731) / (-5)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 550, \"b\": 8, \"c\": 731, \"d\": -5}", "seed": "12665719595128163810", "semantic_fingerprint": "sha256:5844b150bcaba755c592cb25a7cfc078b5e2f72ce9067d92e3e4cc3e3f3c2330", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005444", "prompt": "Compute: (-305 - 255 - (-671)) / (9 / (-9) + (-36))", "solution_steps": ["Subtract: -305 - 255 = -560", "Subtract: -560 - (-671) = 111", "Divide: 9 / (-9) = -1", "Add: -1 + (-36) = -37", "Divide: 111 / (-37) = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "(-305 - 255 - (-671)) / (9 / (-9) + (-36))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -305, \"b\": 255, \"c\": -671, \"d\": 9, \"e\": -9, \"f\": -36}", "seed": "7285826463447630030", "semantic_fingerprint": "sha256:61149e17a13bfe5acb71857a7f9d672429357a189b75f55268ef90fe23b3a344", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005445", "prompt": "What is -7 - (-65 + (-8)) / (-242)?", "solution_steps": ["Add: -65 + (-8) = -73", "Divide: -73 / (-242) = 73/242", "Subtract: -7 - 73/242 = -1767/242"], "final_answer": "-1767/242", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-65 + (-8)) / (-242)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -65, \"c\": -8, \"d\": -242}", "seed": "10146879613330492609", "semantic_fingerprint": "sha256:b547e816a9dbf06093dbda59d943f0421b227f077894c6e23d1b67ee5744207b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005446", "prompt": "Calculate: -453 * (-51) + 30 * (-3)", "solution_steps": ["Multiply: -453 * (-51) = 23103", "Multiply: 30 * (-3) = -90", "Add: 23103 + (-90) = 23013"], "final_answer": "23013", "answer_type": "integer", "kind": "expression", "math_text": "-453 * (-51) + 30 * (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -453, \"b\": -51, \"c\": 30, \"d\": -3}", "seed": "12126827827860775977", "semantic_fingerprint": "sha256:98d8ed2c8076b51521b3b85ba74ff98f25b621a27e3c900b0715afef84cd5480", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005447", "prompt": "Solve for x: 5x = -11(x + 18) - 106", "solution_steps": ["Expand: 5x = -11x - 198 - 106", "Combine constants: 5x = -11x - 304", "Add 11x to both sides: 16x = -304", "Divide both sides by 16: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = -11(x + 18) - 106", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"c\": 18, \"e\": -106, \"x\": -19}", "seed": "6697327638794149701", "semantic_fingerprint": "sha256:cabb830b397e6785c80fc673623c70589a94504edd30bba17526857bdae08b16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005448", "prompt": "Solve the equation 2(x + 2) + 65 = x + 65 for x.", "solution_steps": ["Expand: 2x + 4 + 65 = x + 65", "Combine constants: 2x + 69 = x + 65", "Subtract x from both sides: x + 69 = 65", "Subtract 69 from both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) + 65 = x + 65", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 65, \"e\": 65, \"x\": -4}", "seed": "13338415899069835874", "semantic_fingerprint": "sha256:388b4cc01f6dc0999a2dd929ef63cb5e526793c4ed1306b405d1f54c14b40a1d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005449", "prompt": "Calculate: 26 - (-51) * (-7 / (-466))", "solution_steps": ["Divide: -7 / (-466) = 7/466", "Multiply: -51 * (7/466) = -357/466", "Subtract: 26 - (-357/466) = 12473/466"], "final_answer": "12473/466", "answer_type": "rational", "kind": "expression", "math_text": "26 - (-51) * (-7 / (-466))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -51, \"c\": -7, \"d\": -466}", "seed": "2805083622894856947", "semantic_fingerprint": "sha256:9cfd67314abf0e88716dc2c8928664eee56bc9a77637706b0214179e1e1b7ac9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005450", "prompt": "What value of x satisfies 7(x + 2) = 5(x - 84) + 438?", "solution_steps": ["Expand: 7x + 14 = 5(x - 84) + 438", "Expand: 7x + 14 = 5x - 420 + 438", "Combine constants: 7x + 14 = 5x + 18", "Subtract 5x from both sides: 2x + 14 = 18", "Subtract 14 from both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 2) = 5(x - 84) + 438", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 5, \"d\": 84, \"f\": 438, \"x\": 2}", "seed": "16561967134074113727", "semantic_fingerprint": "sha256:e034e3dd0917c4185abb5ee01834f0e9c4ff115f69058905b4e93098cf9417c7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005451", "prompt": "Solve the equation 12(x + 18) - 35 = x + 3 for x.", "solution_steps": ["Expand: 12x + 216 - 35 = x + 3", "Combine constants: 12x + 181 = x + 3", "Subtract x from both sides: 11x + 181 = 3", "Subtract 181 from both sides: 11x = -178", "Divide both sides by 11: x = -178/11"], "final_answer": "-178/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 18) - 35 = x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 18, \"c\": 35, \"d\": 3}", "seed": "14116420021820424221", "semantic_fingerprint": "sha256:aad2b4fcd5984e96dba4b81cfe385be2b989da3ee1e4e8bf03fa7092714414b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005452", "prompt": "Solve the equation -5(x + 5) + 73 = x + 58 for x.", "solution_steps": ["Expand: -5x - 25 + 73 = x + 58", "Combine constants: -5x + 48 = x + 58", "Subtract x from both sides: -6x + 48 = 58", "Subtract 48 from both sides: -6x = 10", "Divide both sides by -6: x = -5/3"], "final_answer": "-5/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 5) + 73 = x + 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 73, \"d\": 58}", "seed": "4618178490007506544", "semantic_fingerprint": "sha256:3725b737556a9ec71ebb915f52cb1d52d8e06dfa977b4895068e679d017519bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005453", "prompt": "Find x: 7x - 979 = 10(x - 97)", "solution_steps": ["Expand: 7x - 979 = 10x - 970", "Subtract 10x from both sides: -3x - 979 = -970", "Add 979 to both sides: -3x = 9", "Divide both sides by -3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 979 = 10(x - 97)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 97, \"e\": -979, \"x\": -3}", "seed": "4573875209917709965", "semantic_fingerprint": "sha256:73161bc6b0fb1af25763034aaf8e04db27c1301cfa5ebe4771be5b2fa2877759", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005454", "prompt": "Solve the equation -2(x + 9) = -9(x - 32) + 8 for x.", "solution_steps": ["Expand: -2x - 18 = -9(x - 32) + 8", "Expand: -2x - 18 = -9x + 288 + 8", "Combine constants: -2x - 18 = -9x + 296", "Add 9x to both sides: 7x - 18 = 296", "Add 18 to both sides: 7x = 314", "Divide both sides by 7: x = 314/7"], "final_answer": "314/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 9) = -9(x - 32) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": -9, \"d\": 32, \"e\": 8}", "seed": "7942426490604306366", "semantic_fingerprint": "sha256:04dca18ea604befc9f7833a538adcd103b7e7c19d519a22a3b484fe8b7f6eb87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005455", "prompt": "Solve for x: 12x - 6 = 2(x - 3)", "solution_steps": ["Expand: 12x - 6 = 2x - 6", "Subtract 2x from both sides: 10x - 6 = -6", "Add 6 to both sides: 10x = 0", "Divide both sides by 10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 6 = 2(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 3, \"e\": -6, \"x\": 0}", "seed": "15714893855795816702", "semantic_fingerprint": "sha256:184feb65a083c209e90a51fb12856ae766f88670dd3e7b297e55f07b2ce148c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005456", "prompt": "Find x: 9x - 17 = 10(x - 2)", "solution_steps": ["Expand: 9x - 17 = 10x - 20", "Subtract 10x from both sides: -x - 17 = -20", "Add 17 to both sides: -x = -3", "Divide both sides by -1: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 17 = 10(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 2, \"e\": -17, \"x\": 3}", "seed": "12935210139009308049", "semantic_fingerprint": "sha256:ab40d74ad8ab907167fa7bd1ab85afb8b4ccfa0131bbfb34e5db08e19e42de2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005457", "prompt": "What value of x satisfies 2(x + 64) + 5 = x + 142?", "solution_steps": ["Expand: 2x + 128 + 5 = x + 142", "Combine constants: 2x + 133 = x + 142", "Subtract x from both sides: x + 133 = 142", "Subtract 133 from both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 64) + 5 = x + 142", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 64, \"c\": 5, \"e\": 142, \"x\": 9}", "seed": "9063216199531806811", "semantic_fingerprint": "sha256:c8cbc9c30d03bb1df2c3e856233d7f61509a5eef38a46753bdee4efc8692b921", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005458", "prompt": "What is (561 + (-952 + 2 - (-297))) / (-7)?", "solution_steps": ["Add: -952 + 2 = -950", "Subtract: -950 - (-297) = -653", "Add: 561 + (-653) = -92", "Divide: -92 / (-7) = 92/7"], "final_answer": "92/7", "answer_type": "rational", "kind": "expression", "math_text": "(561 + (-952 + 2 - (-297))) / (-7)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 561, \"b\": -952, \"c\": 2, \"d\": -297, \"e\": -7}", "seed": "17511219553878612886", "semantic_fingerprint": "sha256:e50d4778f48d0a9330c68eee226f9ff659241df408b68e50af4a7bd440694a17", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005459", "prompt": "Calculate: -490 / (42 / (-20)) * (-236 / 24)", "solution_steps": ["Divide: 42 / (-20) = -21/10", "Divide: -490 / (-21/10) = 700/3", "Divide: -236 / 24 = -59/6", "Multiply: (700/3) * (-59/6) = -20650/9"], "final_answer": "-20650/9", "answer_type": "rational", "kind": "expression", "math_text": "-490 / (42 / (-20)) * (-236 / 24)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -490, \"b\": 42, \"c\": -20, \"d\": -236, \"e\": 24}", "seed": "7987203041469110193", "semantic_fingerprint": "sha256:7838d9f022ff38a48c40fd9d497f044a81b62e9be687d9ea9ae5535b2ac2f3ce", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005460", "prompt": "What value of x satisfies -12x = -2(x + 13) + 81?", "solution_steps": ["Expand: -12x = -2x - 26 + 81", "Combine constants: -12x = -2x + 55", "Add 2x to both sides: -10x = 55", "Divide both sides by -10: x = -11/2"], "final_answer": "-11/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = -2(x + 13) + 81", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -2, \"c\": 13, \"d\": 81}", "seed": "18153478379402936187", "semantic_fingerprint": "sha256:816cb4acfe9388e937c334c3349ac4edecb3aba7baddabf2720b12d5831dfaf2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005461", "prompt": "Evaluate: (38 + (-3)) / (-34 + (687 + (516 - (-346))))", "solution_steps": ["Add: 38 + (-3) = 35", "Subtract: 516 - (-346) = 862", "Add: 687 + 862 = 1549", "Add: -34 + 1549 = 1515", "Divide: 35 / 1515 = 7/303"], "final_answer": "7/303", "answer_type": "rational", "kind": "expression", "math_text": "(38 + (-3)) / (-34 + (687 + (516 - (-346))))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (+ n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -3, \"c\": -34, \"d\": 687, \"e\": 516, \"f\": -346}", "seed": "14528845646382050349", "semantic_fingerprint": "sha256:4cad2d56a8ebb7f665fb09c61d41ef8649222fb7a36f7561cc5212a6c038a722", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005462", "prompt": "Solve for x: 8x = 3(x + 29) - 57", "solution_steps": ["Expand: 8x = 3x + 87 - 57", "Combine constants: 8x = 3x + 30", "Subtract 3x from both sides: 5x = 30", "Divide both sides by 5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 3(x + 29) - 57", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 29, \"e\": -57, \"x\": 6}", "seed": "18265760153607913243", "semantic_fingerprint": "sha256:8f1af1843e235868d8aa1a8ca524519ce0e3c58eef91aa47d787ac1a2f32f83f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005463", "prompt": "Solve the equation -6x = 12(x + 715) + 3 for x.", "solution_steps": ["Expand: -6x = 12x + 8580 + 3", "Combine constants: -6x = 12x + 8583", "Subtract 12x from both sides: -18x = 8583", "Divide both sides by -18: x = -2861/6"], "final_answer": "-2861/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x = 12(x + 715) + 3", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 12, \"c\": 715, \"d\": 3}", "seed": "9583505217198433237", "semantic_fingerprint": "sha256:339513f4442b7e0a022934c10eb02d51dff86b93bfacc4504dff14c0b0c33b0c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005464", "prompt": "Evaluate: 882 * 0 * ((19 - (-8)) / (-80)) * (-520)", "solution_steps": ["Multiply: 882 * 0 = 0", "Subtract: 19 - (-8) = 27", "Divide: 27 / (-80) = -27/80", "Multiply: 0 * (-27/80) = 0", "Multiply: 0 * (-520) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "882 * 0 * ((19 - (-8)) / (-80)) * (-520)", "variable": null, "family": "expression_5op", "shape": "(* (* (* n n) (/ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 882, \"b\": 0, \"c\": 19, \"d\": -8, \"e\": -80, \"f\": -520}", "seed": "13692192554973315103", "semantic_fingerprint": "sha256:18672e3112f484ca7c5d339bd8955ef0413b98e753244e95e8569ee161d9f123", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005465", "prompt": "Solve the equation 10(x + 32) - 5 = x + 135 for x.", "solution_steps": ["Expand: 10x + 320 - 5 = x + 135", "Combine constants: 10x + 315 = x + 135", "Subtract x from both sides: 9x + 315 = 135", "Subtract 315 from both sides: 9x = -180", "Divide both sides by 9: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 32) - 5 = x + 135", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 32, \"c\": 5, \"e\": 135, \"x\": -20}", "seed": "11783581332447665765", "semantic_fingerprint": "sha256:f29755c31abf630a3914bc0d73a3c16db4c2a7e1902cf569f8e14c89f051fd34", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005466", "prompt": "Calculate: 39 * (0 * (1 * 527 / 37))", "solution_steps": ["Multiply: 1 * 527 = 527", "Divide: 527 / 37 = 527/37", "Multiply: 0 * (527/37) = 0", "Multiply: 39 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "39 * (0 * (1 * 527 / 37))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 0, \"c\": 1, \"d\": 527, \"e\": 37}", "seed": "9665896662371723894", "semantic_fingerprint": "sha256:9f28a5ee18f9539d05a3df222d40c604d51ffaf38fbc3826e03a71aa375741ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005467", "prompt": "Solve for x: 8x - 822 = 9x - 842", "solution_steps": ["Subtract 9x from both sides: -x - 822 = -842", "Add 822 to both sides: -x = -20", "Divide both sides by -1: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 822 = 9x - 842", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 822, \"c\": 9, \"e\": -842, \"x\": 20}", "seed": "13937333340559282292", "semantic_fingerprint": "sha256:d951c948487ac737bd8ee7210fe02f668efa76c64b2384f4dcf90a5420193ce4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005468", "prompt": "What is (-34 + 4 + (-65)) * (-5 + 0) / 515?", "solution_steps": ["Add: -34 + 4 = -30", "Add: -30 + (-65) = -95", "Add: -5 + 0 = -5", "Multiply: -95 * (-5) = 475", "Divide: 475 / 515 = 95/103"], "final_answer": "95/103", "answer_type": "rational", "kind": "expression", "math_text": "(-34 + 4 + (-65)) * (-5 + 0) / 515", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 4, \"c\": -65, \"d\": -5, \"e\": 0, \"f\": 515}", "seed": "17379652997479229412", "semantic_fingerprint": "sha256:77a92435d5f8a251258b9f67ac7ff3e64a5703f33ef7a04d39d22e4509dae00c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005469", "prompt": "Solve for x: 2(x + 9) + 68 = x + 74", "solution_steps": ["Expand: 2x + 18 + 68 = x + 74", "Combine constants: 2x + 86 = x + 74", "Subtract x from both sides: x + 86 = 74", "Subtract 86 from both sides: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 9) + 68 = x + 74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 68, \"e\": 74, \"x\": -12}", "seed": "2570249621277680679", "semantic_fingerprint": "sha256:dcbf861b5aa81a57d14227ea251b833bdf76fdbd9b5a984237773b77e3813320", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005470", "prompt": "Evaluate: (-75 - (-98) - (-62)) * (-48)", "solution_steps": ["Subtract: -75 - (-98) = 23", "Subtract: 23 - (-62) = 85", "Multiply: 85 * (-48) = -4080"], "final_answer": "-4080", "answer_type": "integer", "kind": "expression", "math_text": "(-75 - (-98) - (-62)) * (-48)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -98, \"c\": -62, \"d\": -48}", "seed": "11355428655004957708", "semantic_fingerprint": "sha256:58129038d79d32322e918513fbac96164cbc1b0b17dd3bc8c4f865de3e4b9cae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005471", "prompt": "Solve the equation -3(x - 1) + 672 = 11(x + 41) for x.", "solution_steps": ["Expand: -3x + 3 + 672 = 11(x + 41)", "Expand: -3x + 3 + 672 = 11x + 451", "Combine constants: -3x + 675 = 11x + 451", "Subtract 11x from both sides: -14x + 675 = 451", "Subtract 675 from both sides: -14x = -224", "Divide both sides by -14: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 1) + 672 = 11(x + 41)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 11, \"d\": 41, \"f\": 672, \"x\": 16}", "seed": "17643502504058152278", "semantic_fingerprint": "sha256:7b74399737bb195ef43c2ad532ce323626af43d20414871cd30b9bb9d4f30776", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005472", "prompt": "What value of x satisfies -4x - 848 = -9x - 853?", "solution_steps": ["Add 9x to both sides: 5x - 848 = -853", "Add 848 to both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 848 = -9x - 853", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 848, \"c\": -9, \"e\": -853, \"x\": -1}", "seed": "11556381810029868764", "semantic_fingerprint": "sha256:1ebbf8d9b738fb2bcb11aacc84242d5a0af03db2fb5d4fcf2daf82ba0306ce2a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005473", "prompt": "Solve for x: 6(x + 9) + 60 = x + 154", "solution_steps": ["Expand: 6x + 54 + 60 = x + 154", "Combine constants: 6x + 114 = x + 154", "Subtract x from both sides: 5x + 114 = 154", "Subtract 114 from both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 9) + 60 = x + 154", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 60, \"e\": 154, \"x\": 8}", "seed": "12702011079891847598", "semantic_fingerprint": "sha256:535f026515578821b94194e56e3d1b88c9b428fa12ee2672be627449513e6297", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005474", "prompt": "Evaluate: (-169 * 26 + 576 * (-292)) / 632", "solution_steps": ["Multiply: -169 * 26 = -4394", "Multiply: 576 * (-292) = -168192", "Add: -4394 + (-168192) = -172586", "Divide: -172586 / 632 = -86293/316"], "final_answer": "-86293/316", "answer_type": "rational", "kind": "expression", "math_text": "(-169 * 26 + 576 * (-292)) / 632", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -169, \"b\": 26, \"c\": 576, \"d\": -292, \"e\": 632}", "seed": "4074198223282217755", "semantic_fingerprint": "sha256:01d3caac13e7897dee4ab1686abdd5d8bc46f15ae6c511b5c6f8f8ab20fc2c9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005475", "prompt": "What is -10 / 9 * 7 - (-7) * 485?", "solution_steps": ["Divide: -10 / 9 = -10/9", "Multiply: (-10/9) * 7 = -70/9", "Multiply: -7 * 485 = -3395", "Subtract: -70/9 - (-3395) = 30485/9"], "final_answer": "30485/9", "answer_type": "rational", "kind": "expression", "math_text": "-10 / 9 * 7 - (-7) * 485", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 9, \"c\": 7, \"d\": -7, \"e\": 485}", "seed": "10641881880841417964", "semantic_fingerprint": "sha256:bc08ac5392ca144dcbdeba553f73dc3290c96d38f3e90fcc4d7934f4cec24bd8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005476", "prompt": "Evaluate: (-207 + (-8) * (-4 * 0)) * (-7 / (-959))", "solution_steps": ["Multiply: -4 * 0 = 0", "Multiply: -8 * 0 = 0", "Add: -207 + 0 = -207", "Divide: -7 / (-959) = 1/137", "Multiply: -207 * (1/137) = -207/137"], "final_answer": "-207/137", "answer_type": "rational", "kind": "expression", "math_text": "(-207 + (-8) * (-4 * 0)) * (-7 / (-959))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (* n (* n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -207, \"b\": -8, \"c\": -4, \"d\": 0, \"e\": -7, \"f\": -959}", "seed": "1749890080252934570", "semantic_fingerprint": "sha256:efdab65d03d7ac88a8f6d41ea2d2f3d630a4417908d1d7c2088a4bd2aa7abd95", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005477", "prompt": "Find x: 5(x + 95) + 31 = x + 562", "solution_steps": ["Expand: 5x + 475 + 31 = x + 562", "Combine constants: 5x + 506 = x + 562", "Subtract x from both sides: 4x + 506 = 562", "Subtract 506 from both sides: 4x = 56", "Divide both sides by 4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 95) + 31 = x + 562", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 95, \"c\": 31, \"e\": 562, \"x\": 14}", "seed": "8541875422172120217", "semantic_fingerprint": "sha256:f0e0fdd2dcd83c4722361adc9b6d35966dbceb3c206443d94191640f05f3c84f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005478", "prompt": "Calculate: 4 + (-754 - (-457)) + (-13)", "solution_steps": ["Subtract: -754 - (-457) = -297", "Add: 4 + (-297) = -293", "Add: -293 + (-13) = -306"], "final_answer": "-306", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-754 - (-457)) + (-13)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -754, \"c\": -457, \"d\": -13}", "seed": "5879809238544633476", "semantic_fingerprint": "sha256:ac6e5ce288787b4794ded44688968c63775ccf3d1076367f1fd3f1589f26707c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005479", "prompt": "Find x: 11x = 5(x + 4) + 37", "solution_steps": ["Expand: 11x = 5x + 20 + 37", "Combine constants: 11x = 5x + 57", "Subtract 5x from both sides: 6x = 57", "Divide both sides by 6: x = 19/2"], "final_answer": "19/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = 5(x + 4) + 37", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 4, \"d\": 37}", "seed": "8732850486963536174", "semantic_fingerprint": "sha256:da7da6e01f67c4da0b673b283fd048ba911e481d9ecaa479827aac009482333c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005480", "prompt": "What value of x satisfies -2(x - 292) - 244 = x + 358?", "solution_steps": ["Expand: -2x + 584 - 244 = x + 358", "Combine constants: -2x + 340 = x + 358", "Subtract x from both sides: -3x + 340 = 358", "Subtract 340 from both sides: -3x = 18", "Divide both sides by -3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 292) - 244 = x + 358", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 292, \"c\": 244, \"e\": 358, \"x\": -6}", "seed": "4022181470248517601", "semantic_fingerprint": "sha256:333fc8cc3f0c9baf26b108e7f4063fcab725a5d1d5643111aecf61f03f5717f5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005481", "prompt": "Solve the equation 2x = -7(x + 73) + 673 for x.", "solution_steps": ["Expand: 2x = -7x - 511 + 673", "Combine constants: 2x = -7x + 162", "Add 7x to both sides: 9x = 162", "Divide both sides by 9: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -7(x + 73) + 673", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -7, \"c\": 73, \"e\": 673, \"x\": 18}", "seed": "9010390477985566043", "semantic_fingerprint": "sha256:d8c98777ff7b7c034fc7b62f7dfd52c773c2ad0170d747984b4b9f431b819be6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005482", "prompt": "Solve the equation 2x = -7(x + 8) + 2 for x.", "solution_steps": ["Expand: 2x = -7x - 56 + 2", "Combine constants: 2x = -7x - 54", "Add 7x to both sides: 9x = -54", "Divide both sides by 9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -7(x + 8) + 2", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -7, \"c\": 8, \"d\": 2}", "seed": "1355172467879291018", "semantic_fingerprint": "sha256:fa7ba0fd0fcbbbb472d54e0777a6eb67e7aef2f792bcbb7aae7c3c0994901c7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005483", "prompt": "Compute: (-360 + 544) / (-3) + (-5)", "solution_steps": ["Add: -360 + 544 = 184", "Divide: 184 / (-3) = -184/3", "Add: -184/3 + (-5) = -199/3"], "final_answer": "-199/3", "answer_type": "rational", "kind": "expression", "math_text": "(-360 + 544) / (-3) + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -360, \"b\": 544, \"c\": -3, \"d\": -5}", "seed": "814018619722135260", "semantic_fingerprint": "sha256:b5a4574737c188ef791d3560418f94cb9cb2e82390aa6ec7e65f17989a7deb12", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005484", "prompt": "Solve the equation -7x - 52 = 9x - 164 for x.", "solution_steps": ["Subtract 9x from both sides: -16x - 52 = -164", "Add 52 to both sides: -16x = -112", "Divide both sides by -16: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 52 = 9x - 164", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 52, \"c\": 9, \"e\": -164, \"x\": 7}", "seed": "11862411033070844069", "semantic_fingerprint": "sha256:1afcdadb9276ed3705a9ee20a6e8549d63632be3b17e9de612bbbe516015e9a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005485", "prompt": "Calculate: (858 - (-2 - (-78))) / 2 + (-3)", "solution_steps": ["Subtract: -2 - (-78) = 76", "Subtract: 858 - 76 = 782", "Divide: 782 / 2 = 391", "Add: 391 + (-3) = 388"], "final_answer": "388", "answer_type": "integer", "kind": "expression", "math_text": "(858 - (-2 - (-78))) / 2 + (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 858, \"b\": -2, \"c\": -78, \"d\": 2, \"e\": -3}", "seed": "6437702726003297564", "semantic_fingerprint": "sha256:02af0d405d5f7087ed45f2ea26fefad94310e25ee4106baf79d00a2333233857", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005486", "prompt": "Evaluate: (-2 - (-716) * (-248)) / 9", "solution_steps": ["Multiply: -716 * (-248) = 177568", "Subtract: -2 - 177568 = -177570", "Divide: -177570 / 9 = -19730"], "final_answer": "-19730", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-716) * (-248)) / 9", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -716, \"c\": -248, \"d\": 9}", "seed": "1019162232103861957", "semantic_fingerprint": "sha256:420d63331ce1f156616fe891b4a55d7a6e5aa6ab1b6420c9b66d6694d4a30476", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005487", "prompt": "Calculate: 7 + 9 * 28 - (-91) - 5", "solution_steps": ["Multiply: 9 * 28 = 252", "Add: 7 + 252 = 259", "Subtract: 259 - (-91) = 350", "Subtract: 350 - 5 = 345"], "final_answer": "345", "answer_type": "integer", "kind": "expression", "math_text": "7 + 9 * 28 - (-91) - 5", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 28, \"d\": -91, \"e\": 5}", "seed": "18436555363746708776", "semantic_fingerprint": "sha256:222f9c1794ecf25ac9ea242db405d66c856f648dbe715fb9d2d1cbe4e8604ad3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005488", "prompt": "Find x: 5x - 32 = 4(x - 9)", "solution_steps": ["Expand: 5x - 32 = 4x - 36", "Subtract 4x from both sides: x - 32 = -36", "Add 32 to both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 32 = 4(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 9, \"e\": -32, \"x\": -4}", "seed": "14966736510934607870", "semantic_fingerprint": "sha256:84183538c4ad2ed09a9b2d34c43e70095358c3371b88d0c536cc98ec00737d95", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005489", "prompt": "Solve the equation 5(x + 3) - 6 = x + 61 for x.", "solution_steps": ["Expand: 5x + 15 - 6 = x + 61", "Combine constants: 5x + 9 = x + 61", "Subtract x from both sides: 4x + 9 = 61", "Subtract 9 from both sides: 4x = 52", "Divide both sides by 4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) - 6 = x + 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 6, \"e\": 61, \"x\": 13}", "seed": "506881941307882189", "semantic_fingerprint": "sha256:adcbf4ceba99faf84fab25c6b80ff8f9241ba3f2e6277d64a12c9b1a3f3040c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005490", "prompt": "Compute: -7 / (606 / (-302)) + (-57)", "solution_steps": ["Divide: 606 / (-302) = -303/151", "Divide: -7 / (-303/151) = 1057/303", "Add: 1057/303 + (-57) = -16214/303"], "final_answer": "-16214/303", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (606 / (-302)) + (-57)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 606, \"c\": -302, \"d\": -57}", "seed": "3755121970979198272", "semantic_fingerprint": "sha256:91f94dc625f6c9b0b11033ec697c22d06442edf73f51601c9204c94147466fb5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005491", "prompt": "Evaluate: 16 - 8 + (3 * 21 + (-75))", "solution_steps": ["Subtract: 16 - 8 = 8", "Multiply: 3 * 21 = 63", "Add: 63 + (-75) = -12", "Add: 8 + (-12) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "16 - 8 + (3 * 21 + (-75))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 8, \"c\": 3, \"d\": 21, \"e\": -75}", "seed": "17922179746532814167", "semantic_fingerprint": "sha256:90ebdff38463e3e6b8d1b44367cccd237deffc851bc9445eba96bcb4b567e2da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005492", "prompt": "What value of x satisfies 6(x + 8) = 10(x - 9) + 138?", "solution_steps": ["Expand: 6x + 48 = 10(x - 9) + 138", "Expand: 6x + 48 = 10x - 90 + 138", "Combine constants: 6x + 48 = 10x + 48", "Subtract 10x from both sides: -4x + 48 = 48", "Subtract 48 from both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 8) = 10(x - 9) + 138", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 10, \"d\": 9, \"f\": 138, \"x\": 0}", "seed": "11187358713780187713", "semantic_fingerprint": "sha256:de183365fd2557d804c2fb054e45dc52bb44dc49a0ef480612b6cb48ccb49e3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005493", "prompt": "Evaluate: -7 * (-48) + (-806 - (-2))", "solution_steps": ["Multiply: -7 * (-48) = 336", "Subtract: -806 - (-2) = -804", "Add: 336 + (-804) = -468"], "final_answer": "-468", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-48) + (-806 - (-2))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -48, \"c\": -806, \"d\": -2}", "seed": "2135562687547579807", "semantic_fingerprint": "sha256:45f1e42a1ee19753391120f76c6eccc90ef03163fdeecf715654ad92e90d1959", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005494", "prompt": "What is 7 / 310 + (6 + (-30)) + 161?", "solution_steps": ["Divide: 7 / 310 = 7/310", "Add: 6 + (-30) = -24", "Add: 7/310 + (-24) = -7433/310", "Add: -7433/310 + 161 = 42477/310"], "final_answer": "42477/310", "answer_type": "rational", "kind": "expression", "math_text": "7 / 310 + (6 + (-30)) + 161", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 310, \"c\": 6, \"d\": -30, \"e\": 161}", "seed": "9371444712138588813", "semantic_fingerprint": "sha256:c0d2a79b90552561d9c08f035418e58bf4bbbed4744c7d4b7ff89ccbd8fd224f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005495", "prompt": "Solve for x: 4(x - 1) + 723 = 7(x + 95)", "solution_steps": ["Expand: 4x - 4 + 723 = 7(x + 95)", "Expand: 4x - 4 + 723 = 7x + 665", "Combine constants: 4x + 719 = 7x + 665", "Subtract 7x from both sides: -3x + 719 = 665", "Subtract 719 from both sides: -3x = -54", "Divide both sides by -3: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) + 723 = 7(x + 95)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 7, \"d\": 95, \"f\": 723, \"x\": 18}", "seed": "10080549059226900212", "semantic_fingerprint": "sha256:b318e562aee770de4dae329bd3a7236a78eb42ec1afbddf6edf1deb93d131c9c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005496", "prompt": "Find x: 7x = -9(x + 38) + 246", "solution_steps": ["Expand: 7x = -9x - 342 + 246", "Combine constants: 7x = -9x - 96", "Add 9x to both sides: 16x = -96", "Divide both sides by 16: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -9(x + 38) + 246", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -9, \"c\": 38, \"e\": 246, \"x\": -6}", "seed": "6238734966757464335", "semantic_fingerprint": "sha256:89938df4d09c43b6785f9fa5e1ce8184342375862571579aff1597fe31b7613e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005497", "prompt": "Compute: 2 - 72 / (-32) - 3", "solution_steps": ["Divide: 72 / (-32) = -9/4", "Subtract: 2 - (-9/4) = 17/4", "Subtract: 17/4 - 3 = 5/4"], "final_answer": "5/4", "answer_type": "rational", "kind": "expression", "math_text": "2 - 72 / (-32) - 3", "variable": null, "family": "expression_3op", "shape": "(- (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 72, \"c\": -32, \"d\": 3}", "seed": "3082690109454520400", "semantic_fingerprint": "sha256:7b7889f46e1437cf52b1883a0bf90d783768a21e55ce9c2c4037d070671be4a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005498", "prompt": "What value of x satisfies 3x - 791 = -6x - 692?", "solution_steps": ["Add 6x to both sides: 9x - 791 = -692", "Add 791 to both sides: 9x = 99", "Divide both sides by 9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 791 = -6x - 692", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 791, \"c\": -6, \"e\": -692, \"x\": 11}", "seed": "14694700591126760372", "semantic_fingerprint": "sha256:e6b777dcf1f441921a283f1b15bbb6aabb74a75cb899d2a5cbb021a8a9ec87cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005499", "prompt": "Solve the equation 4x - 413 = 12x - 493 for x.", "solution_steps": ["Subtract 12x from both sides: -8x - 413 = -493", "Add 413 to both sides: -8x = -80", "Divide both sides by -8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 413 = 12x - 493", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 413, \"c\": 12, \"e\": -493, \"x\": 10}", "seed": "14137393458591984734", "semantic_fingerprint": "sha256:a495adae1dc713cc59d893fcb38075357d19b2656b88246ce56da81075f1deee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005500", "prompt": "Find x: 5(x + 93) - 6 = x + 479", "solution_steps": ["Expand: 5x + 465 - 6 = x + 479", "Combine constants: 5x + 459 = x + 479", "Subtract x from both sides: 4x + 459 = 479", "Subtract 459 from both sides: 4x = 20", "Divide both sides by 4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 93) - 6 = x + 479", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 93, \"c\": 6, \"e\": 479, \"x\": 5}", "seed": "18218730425207170641", "semantic_fingerprint": "sha256:d005de51c4704a6ded420797e6edc1629f30a9a8964ee70a89e64b74b167e179", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005501", "prompt": "Compute: (-682 - (-63) - 0) * (-641)", "solution_steps": ["Subtract: -682 - (-63) = -619", "Subtract: -619 - 0 = -619", "Multiply: -619 * (-641) = 396779"], "final_answer": "396779", "answer_type": "integer", "kind": "expression", "math_text": "(-682 - (-63) - 0) * (-641)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -682, \"b\": -63, \"c\": 0, \"d\": -641}", "seed": "9136497707997109311", "semantic_fingerprint": "sha256:4c1ca10676b09b53a4bfb606ba68991565b695742015be8676fd56226f647c42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005502", "prompt": "Compute: -254 - 2 * (-6 - 88) - 1 / 89", "solution_steps": ["Subtract: -6 - 88 = -94", "Multiply: 2 * (-94) = -188", "Subtract: -254 - (-188) = -66", "Divide: 1 / 89 = 1/89", "Subtract: -66 - 1/89 = -5875/89"], "final_answer": "-5875/89", "answer_type": "rational", "kind": "expression", "math_text": "-254 - 2 * (-6 - 88) - 1 / 89", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n (- n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -254, \"b\": 2, \"c\": -6, \"d\": 88, \"e\": 1, \"f\": 89}", "seed": "16804695798572367652", "semantic_fingerprint": "sha256:87e3743723d911c1043965dc38930f99a6402d943583759e2c3b7606dc15c7da", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005503", "prompt": "Evaluate: 919 / (-7 / (17 * 1) * 3)", "solution_steps": ["Multiply: 17 * 1 = 17", "Divide: -7 / 17 = -7/17", "Multiply: (-7/17) * 3 = -21/17", "Divide: 919 / (-21/17) = -15623/21"], "final_answer": "-15623/21", "answer_type": "rational", "kind": "expression", "math_text": "919 / (-7 / (17 * 1) * 3)", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 919, \"b\": -7, \"c\": 17, \"d\": 1, \"e\": 3}", "seed": "319183213310110533", "semantic_fingerprint": "sha256:d937625c5f85397d730da45d68045dc6f4e07ee8eb7c28b5bc93c5f774515db5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005504", "prompt": "Solve for x: 5x = -11(x + 5) + 1", "solution_steps": ["Expand: 5x = -11x - 55 + 1", "Combine constants: 5x = -11x - 54", "Add 11x to both sides: 16x = -54", "Divide both sides by 16: x = -27/8"], "final_answer": "-27/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = -11(x + 5) + 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"c\": 5, \"d\": 1}", "seed": "10654648103807767121", "semantic_fingerprint": "sha256:5a76bbb48d7250f2d26ab4b2036b90a405cee9c5afbdc06b1c6d7afc5b2cff7b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005505", "prompt": "Solve the equation 8x - 602 = -5x - 355 for x.", "solution_steps": ["Add 5x to both sides: 13x - 602 = -355", "Add 602 to both sides: 13x = 247", "Divide both sides by 13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 602 = -5x - 355", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 602, \"c\": -5, \"e\": -355, \"x\": 19}", "seed": "13281816053662774981", "semantic_fingerprint": "sha256:a2061f4341c9480a9fcb156de914f878354adb8d0af2e742c561f4b513242871", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005506", "prompt": "Evaluate: (-6 * 62 * 40 + (-29)) / 82", "solution_steps": ["Multiply: -6 * 62 = -372", "Multiply: -372 * 40 = -14880", "Add: -14880 + (-29) = -14909", "Divide: -14909 / 82 = -14909/82"], "final_answer": "-14909/82", "answer_type": "rational", "kind": "expression", "math_text": "(-6 * 62 * 40 + (-29)) / 82", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 62, \"c\": 40, \"d\": -29, \"e\": 82}", "seed": "6256058218285777205", "semantic_fingerprint": "sha256:8c6b0db19e02af3c85363eaf02f26262b13418cf811a10d31cc44e7d010b70a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005507", "prompt": "Evaluate: 392 / (-7 * (-84 + (-2)))", "solution_steps": ["Add: -84 + (-2) = -86", "Multiply: -7 * (-86) = 602", "Divide: 392 / 602 = 28/43"], "final_answer": "28/43", "answer_type": "rational", "kind": "expression", "math_text": "392 / (-7 * (-84 + (-2)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 392, \"b\": -7, \"c\": -84, \"d\": -2}", "seed": "1733267791058833888", "semantic_fingerprint": "sha256:33fdb83ea1fd33b802fdcc15a9cecbe91345aa6b05584a0bcfebd954d6ef943b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005508", "prompt": "Solve for x: 9(x + 5) + 7 = x + 188", "solution_steps": ["Expand: 9x + 45 + 7 = x + 188", "Combine constants: 9x + 52 = x + 188", "Subtract x from both sides: 8x + 52 = 188", "Subtract 52 from both sides: 8x = 136", "Divide both sides by 8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) + 7 = x + 188", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 7, \"e\": 188, \"x\": 17}", "seed": "10119222315263643193", "semantic_fingerprint": "sha256:e65b60df7bf613aebaa988c28f014d67330c142497fd992209f45e29ad11a327", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005509", "prompt": "What is 3 / (-95) + (-938 - (496 - 61))?", "solution_steps": ["Divide: 3 / (-95) = -3/95", "Subtract: 496 - 61 = 435", "Subtract: -938 - 435 = -1373", "Add: -3/95 + (-1373) = -130438/95"], "final_answer": "-130438/95", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-95) + (-938 - (496 - 61))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -95, \"c\": -938, \"d\": 496, \"e\": 61}", "seed": "4232627729377331416", "semantic_fingerprint": "sha256:732177732db5165db5ebe5a7166463f6d9bc6a240275d2e7f16a71e930749653", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005510", "prompt": "What is 47 * 624 + 13 + (-162)?", "solution_steps": ["Multiply: 47 * 624 = 29328", "Add: 29328 + 13 = 29341", "Add: 29341 + (-162) = 29179"], "final_answer": "29179", "answer_type": "integer", "kind": "expression", "math_text": "47 * 624 + 13 + (-162)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 624, \"c\": 13, \"d\": -162}", "seed": "2180386295465855642", "semantic_fingerprint": "sha256:99c96864520f6fa8b8dc485abf76a9d5897a689cae244ffe187e77cf455129e6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005511", "prompt": "What value of x satisfies 6x - 236 = 4(x - 52)?", "solution_steps": ["Expand: 6x - 236 = 4x - 208", "Subtract 4x from both sides: 2x - 236 = -208", "Add 236 to both sides: 2x = 28", "Divide both sides by 2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 236 = 4(x - 52)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 52, \"e\": -236, \"x\": 14}", "seed": "3527072777653335030", "semantic_fingerprint": "sha256:62aa42501d50cda9c8ae02a8a470f51afd296b7bb15f241bf1611d7d9d6eae0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005512", "prompt": "Find x: -12x = 11(x + 5) + 175", "solution_steps": ["Expand: -12x = 11x + 55 + 175", "Combine constants: -12x = 11x + 230", "Subtract 11x from both sides: -23x = 230", "Divide both sides by -23: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 11(x + 5) + 175", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 11, \"c\": 5, \"e\": 175, \"x\": -10}", "seed": "12607540142449463682", "semantic_fingerprint": "sha256:94ce5b644d171f0983f2ba4ce1cfa4dc6a3693897e8bd8913be1acb95b73b27a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005513", "prompt": "Find x: 8x = -2(x + 97) + 344", "solution_steps": ["Expand: 8x = -2x - 194 + 344", "Combine constants: 8x = -2x + 150", "Add 2x to both sides: 10x = 150", "Divide both sides by 10: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -2(x + 97) + 344", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": 97, \"e\": 344, \"x\": 15}", "seed": "6606947521961784230", "semantic_fingerprint": "sha256:1a1e5046c4693e3cdab7bb1f257a0577ec4999ddfd6bae0922797f42f9659035", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005514", "prompt": "Compute: 3 + (-37 + (-1) * 57) * 33 - (-45)", "solution_steps": ["Multiply: -1 * 57 = -57", "Add: -37 + (-57) = -94", "Multiply: -94 * 33 = -3102", "Add: 3 + (-3102) = -3099", "Subtract: -3099 - (-45) = -3054"], "final_answer": "-3054", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-37 + (-1) * 57) * 33 - (-45)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* (+ n (* n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -37, \"c\": -1, \"d\": 57, \"e\": 33, \"f\": -45}", "seed": "14514362286018538723", "semantic_fingerprint": "sha256:012994fe524b0c4cc8f69eb4efe923ac238ab99e406feeb0cd1b720056f27ff6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005515", "prompt": "What is -795 + (315 + (-693)) - (74 - (-30))?", "solution_steps": ["Add: 315 + (-693) = -378", "Add: -795 + (-378) = -1173", "Subtract: 74 - (-30) = 104", "Subtract: -1173 - 104 = -1277"], "final_answer": "-1277", "answer_type": "integer", "kind": "expression", "math_text": "-795 + (315 + (-693)) - (74 - (-30))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -795, \"b\": 315, \"c\": -693, \"d\": 74, \"e\": -30}", "seed": "658133024277940266", "semantic_fingerprint": "sha256:bca7a04301543034a0fb7cd892acba38bdac7aeb86338675aa991e2c8d9e0529", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005516", "prompt": "Solve for x: 12x - 144 = 4(x - 36)", "solution_steps": ["Expand: 12x - 144 = 4x - 144", "Subtract 4x from both sides: 8x - 144 = -144", "Add 144 to both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 144 = 4(x - 36)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 36, \"e\": -144, \"x\": 0}", "seed": "6994575374154822072", "semantic_fingerprint": "sha256:e15bb85550153b6717233e10bd3b31fab00d4a0d6fb6ab343ff576060842d8ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005517", "prompt": "Compute: (-9 + (-80)) / (6 + 9)", "solution_steps": ["Add: -9 + (-80) = -89", "Add: 6 + 9 = 15", "Divide: -89 / 15 = -89/15"], "final_answer": "-89/15", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-80)) / (6 + 9)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -80, \"c\": 6, \"d\": 9}", "seed": "14087227944297830919", "semantic_fingerprint": "sha256:4bcde8eba1c113c5accade1bc6ef82713d9721b02cf5f32f35faa4a8c43df30b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005518", "prompt": "Calculate: (-1 - (-1)) / (-255) * (13 - 4 / (-7))", "solution_steps": ["Subtract: -1 - (-1) = 0", "Divide: 0 / (-255) = 0", "Divide: 4 / (-7) = -4/7", "Subtract: 13 - (-4/7) = 95/7", "Multiply: 0 * (95/7) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - (-1)) / (-255) * (13 - 4 / (-7))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -1, \"c\": -255, \"d\": 13, \"e\": 4, \"f\": -7}", "seed": "12356183474682787599", "semantic_fingerprint": "sha256:e6dd13cc0986ac7bb217778532944b5fe781eadbc495707bb7caec09f9d75e13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005519", "prompt": "Find x: 12x - 4 = -3x - 34", "solution_steps": ["Add 3x to both sides: 15x - 4 = -34", "Add 4 to both sides: 15x = -30", "Divide both sides by 15: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 4 = -3x - 34", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": -3, \"e\": -34, \"x\": -2}", "seed": "15511543495792595438", "semantic_fingerprint": "sha256:84e0bddfaafc5cc52456a9d51060f3e1ef72c2c777022c330176d8c84c5c5b48", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005520", "prompt": "Solve the equation 2(x + 46) + 594 = x + 692 for x.", "solution_steps": ["Expand: 2x + 92 + 594 = x + 692", "Combine constants: 2x + 686 = x + 692", "Subtract x from both sides: x + 686 = 692", "Subtract 686 from both sides: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 46) + 594 = x + 692", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 46, \"c\": 594, \"e\": 692, \"x\": 6}", "seed": "3075245424193496312", "semantic_fingerprint": "sha256:8b3fc0b7fd901bb704875d594347332678b7eff008786cbf8469d6c257266f7b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005521", "prompt": "Solve for x: -3(x - 350) - 962 = x + 354", "solution_steps": ["Expand: -3x + 1050 - 962 = x + 354", "Combine constants: -3x + 88 = x + 354", "Subtract x from both sides: -4x + 88 = 354", "Subtract 88 from both sides: -4x = 266", "Divide both sides by -4: x = -133/2"], "final_answer": "-133/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 350) - 962 = x + 354", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 350, \"c\": 962, \"d\": 354}", "seed": "13949044190783533314", "semantic_fingerprint": "sha256:8da4fbfc5edd89b009ad46025a9ceb7a2b6a2edae92c58eaa46e621bea3e1a1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005522", "prompt": "Solve the equation 3x = 9(x + 9) - 153 for x.", "solution_steps": ["Expand: 3x = 9x + 81 - 153", "Combine constants: 3x = 9x - 72", "Subtract 9x from both sides: -6x = -72", "Divide both sides by -6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 9(x + 9) - 153", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 9, \"e\": -153, \"x\": 12}", "seed": "7148795702499032160", "semantic_fingerprint": "sha256:854e38bac8e13270636b61e7bfe4094ab04e1a4392437d9a90946a68bedb241c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005523", "prompt": "Find x: -3x - 463 = -10x - 344", "solution_steps": ["Add 10x to both sides: 7x - 463 = -344", "Add 463 to both sides: 7x = 119", "Divide both sides by 7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 463 = -10x - 344", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 463, \"c\": -10, \"e\": -344, \"x\": 17}", "seed": "6075130770532328583", "semantic_fingerprint": "sha256:7111e405834017a880dcbfd5f7ab337e53dbcb7e51e76714a940a403c516242c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005524", "prompt": "Solve for x: 7x - 251 = 11(x - 17)", "solution_steps": ["Expand: 7x - 251 = 11x - 187", "Subtract 11x from both sides: -4x - 251 = -187", "Add 251 to both sides: -4x = 64", "Divide both sides by -4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 251 = 11(x - 17)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 11, \"c\": 17, \"e\": -251, \"x\": -16}", "seed": "11295159861257830549", "semantic_fingerprint": "sha256:9c751705686d6d622640c64b49675df6a730149598cd4afea205accbf5a2ed51", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005525", "prompt": "What value of x satisfies 9(x + 72) + 7 = x + 679?", "solution_steps": ["Expand: 9x + 648 + 7 = x + 679", "Combine constants: 9x + 655 = x + 679", "Subtract x from both sides: 8x + 655 = 679", "Subtract 655 from both sides: 8x = 24", "Divide both sides by 8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 72) + 7 = x + 679", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 72, \"c\": 7, \"e\": 679, \"x\": 3}", "seed": "17924269151083440328", "semantic_fingerprint": "sha256:a98fc17c7bb714dd05866ab38f251090950667500b1c16210bd61cea44697ae3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005526", "prompt": "Calculate: 2 - 847 * (55 / 5)", "solution_steps": ["Divide: 55 / 5 = 11", "Multiply: 847 * 11 = 9317", "Subtract: 2 - 9317 = -9315"], "final_answer": "-9315", "answer_type": "integer", "kind": "expression", "math_text": "2 - 847 * (55 / 5)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 847, \"c\": 55, \"d\": 5}", "seed": "11348435767692089954", "semantic_fingerprint": "sha256:1aeb3f62ae4ac68df238b680d310acee49c6889aebdeccd7949538c6520d09d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005527", "prompt": "Solve for x: 7(x - 33) + 309 = 8(x + 9)", "solution_steps": ["Expand: 7x - 231 + 309 = 8(x + 9)", "Expand: 7x - 231 + 309 = 8x + 72", "Combine constants: 7x + 78 = 8x + 72", "Subtract 8x from both sides: -x + 78 = 72", "Subtract 78 from both sides: -x = -6", "Divide both sides by -1: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 33) + 309 = 8(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 33, \"c\": 8, \"d\": 9, \"f\": 309, \"x\": 6}", "seed": "8582199749784621838", "semantic_fingerprint": "sha256:4bf03b2e12ea3a783e51d3c2c6c3e7a209e02ad3879e26267879f1b4b46a6c9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005528", "prompt": "What value of x satisfies -4(x + 30) + 280 = x + 225?", "solution_steps": ["Expand: -4x - 120 + 280 = x + 225", "Combine constants: -4x + 160 = x + 225", "Subtract x from both sides: -5x + 160 = 225", "Subtract 160 from both sides: -5x = 65", "Divide both sides by -5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 30) + 280 = x + 225", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 30, \"c\": 280, \"e\": 225, \"x\": -13}", "seed": "5417733009613527912", "semantic_fingerprint": "sha256:cfb70249d65085c8f8a235263be5d03bcc192d5752bdf7f3828e65384545fa18", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005529", "prompt": "What value of x satisfies 4(x + 81) + 46 = x + 352?", "solution_steps": ["Expand: 4x + 324 + 46 = x + 352", "Combine constants: 4x + 370 = x + 352", "Subtract x from both sides: 3x + 370 = 352", "Subtract 370 from both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 81) + 46 = x + 352", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 81, \"c\": 46, \"e\": 352, \"x\": -6}", "seed": "16410132684375261509", "semantic_fingerprint": "sha256:ab0f50f73e6368aece4b1c416a6b31dcaf9515fd09a386872d4228810c9149df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005530", "prompt": "What value of x satisfies 7x - 633 = 11x - 677?", "solution_steps": ["Subtract 11x from both sides: -4x - 633 = -677", "Add 633 to both sides: -4x = -44", "Divide both sides by -4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 633 = 11x - 677", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 633, \"c\": 11, \"e\": -677, \"x\": 11}", "seed": "338009696053105966", "semantic_fingerprint": "sha256:f1a8e084a09ba4056a19c925c4059b1fe55a223312d6c3692a20d2f4c9f29a5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005531", "prompt": "Compute: (-29 - (-80 + 36)) * (50 + 52)", "solution_steps": ["Add: -80 + 36 = -44", "Subtract: -29 - (-44) = 15", "Add: 50 + 52 = 102", "Multiply: 15 * 102 = 1530"], "final_answer": "1530", "answer_type": "integer", "kind": "expression", "math_text": "(-29 - (-80 + 36)) * (50 + 52)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -80, \"c\": 36, \"d\": 50, \"e\": 52}", "seed": "9608065973940839623", "semantic_fingerprint": "sha256:60763cfa4d8cd32eded756178e6191c508a791d5a81d4246c5f70be074088e13", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005532", "prompt": "Solve the equation -6(x + 244) - 73 = x + 532 for x.", "solution_steps": ["Expand: -6x - 1464 - 73 = x + 532", "Combine constants: -6x - 1537 = x + 532", "Subtract x from both sides: -7x - 1537 = 532", "Add 1537 to both sides: -7x = 2069", "Divide both sides by -7: x = -2069/7"], "final_answer": "-2069/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 244) - 73 = x + 532", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 244, \"c\": 73, \"d\": 532}", "seed": "7313658532810916111", "semantic_fingerprint": "sha256:a7a37c96b8438d97274861513650e3f6abdd676dcd0de4f5beb2259ef59e2421", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005533", "prompt": "Evaluate: 87 - (-226 / (-53) - 6) - 7", "solution_steps": ["Divide: -226 / (-53) = 226/53", "Subtract: 226/53 - 6 = -92/53", "Subtract: 87 - (-92/53) = 4703/53", "Subtract: 4703/53 - 7 = 4332/53"], "final_answer": "4332/53", "answer_type": "rational", "kind": "expression", "math_text": "87 - (-226 / (-53) - 6) - 7", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -226, \"c\": -53, \"d\": 6, \"e\": 7}", "seed": "2156642443696542085", "semantic_fingerprint": "sha256:c452279d602b8407d5e132fe585944a11de549bad2fb73be59053aed071353d9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005534", "prompt": "Evaluate: (35 - (-81 + (-80))) * (-3 + (-4))", "solution_steps": ["Add: -81 + (-80) = -161", "Subtract: 35 - (-161) = 196", "Add: -3 + (-4) = -7", "Multiply: 196 * (-7) = -1372"], "final_answer": "-1372", "answer_type": "integer", "kind": "expression", "math_text": "(35 - (-81 + (-80))) * (-3 + (-4))", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -81, \"c\": -80, \"d\": -3, \"e\": -4}", "seed": "13137265955657697427", "semantic_fingerprint": "sha256:fcd6e39719e21d69732802de84573e0cf2c541e5aa061aab61f9bd91ce5ff4b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005535", "prompt": "Solve the equation 10x = 4(x + 2) - 46 for x.", "solution_steps": ["Expand: 10x = 4x + 8 - 46", "Combine constants: 10x = 4x - 38", "Subtract 4x from both sides: 6x = -38", "Divide both sides by 6: x = -19/3"], "final_answer": "-19/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 4(x + 2) - 46", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 2, \"d\": 46}", "seed": "3662205504389364695", "semantic_fingerprint": "sha256:0c78b53ff2d81e3ef2b3dfaf66fb732a0b471fa542192cc006de5704816cbb77", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005536", "prompt": "Find x: 11(x + 6) = -9(x - 3) + 239", "solution_steps": ["Expand: 11x + 66 = -9(x - 3) + 239", "Expand: 11x + 66 = -9x + 27 + 239", "Combine constants: 11x + 66 = -9x + 266", "Add 9x to both sides: 20x + 66 = 266", "Subtract 66 from both sides: 20x = 200", "Divide both sides by 20: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 6) = -9(x - 3) + 239", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": -9, \"d\": 3, \"f\": 239, \"x\": 10}", "seed": "14892793995631497820", "semantic_fingerprint": "sha256:a5d9f2dc3b8ba9e91d77a85a80030163a44a96c5121ee56fecfb7d1a75194319", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005537", "prompt": "Evaluate: 881 + 753 * 453 - (617 + 252)", "solution_steps": ["Multiply: 753 * 453 = 341109", "Add: 881 + 341109 = 341990", "Add: 617 + 252 = 869", "Subtract: 341990 - 869 = 341121"], "final_answer": "341121", "answer_type": "integer", "kind": "expression", "math_text": "881 + 753 * 453 - (617 + 252)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 881, \"b\": 753, \"c\": 453, \"d\": 617, \"e\": 252}", "seed": "574744075214114218", "semantic_fingerprint": "sha256:00a48fbd756c9937d2f42dae092c83a78f1384d4665944295322e1a008a76061", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005538", "prompt": "Compute: 294 * (-2) - (-550 / 10 - (-873))", "solution_steps": ["Multiply: 294 * (-2) = -588", "Divide: -550 / 10 = -55", "Subtract: -55 - (-873) = 818", "Subtract: -588 - 818 = -1406"], "final_answer": "-1406", "answer_type": "integer", "kind": "expression", "math_text": "294 * (-2) - (-550 / 10 - (-873))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 294, \"b\": -2, \"c\": -550, \"d\": 10, \"e\": -873}", "seed": "8583476120193659208", "semantic_fingerprint": "sha256:b9923ec352ca30be877f3786a782ac77bdeeb12f8f28c0f1a1a072161ce65533", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005539", "prompt": "Calculate: (-88 - (-927) - (-84)) * 6", "solution_steps": ["Subtract: -88 - (-927) = 839", "Subtract: 839 - (-84) = 923", "Multiply: 923 * 6 = 5538"], "final_answer": "5538", "answer_type": "integer", "kind": "expression", "math_text": "(-88 - (-927) - (-84)) * 6", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -927, \"c\": -84, \"d\": 6}", "seed": "4832533630967920777", "semantic_fingerprint": "sha256:c1b2c2fd0a0ccdc4a6db426605285296413dd99708d34f91f51ec12aba2b7803", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005540", "prompt": "What is -20 * (-7) + (-21 - 663)?", "solution_steps": ["Multiply: -20 * (-7) = 140", "Subtract: -21 - 663 = -684", "Add: 140 + (-684) = -544"], "final_answer": "-544", "answer_type": "integer", "kind": "expression", "math_text": "-20 * (-7) + (-21 - 663)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -7, \"c\": -21, \"d\": 663}", "seed": "2449866437517563381", "semantic_fingerprint": "sha256:9fdda4bdce419b67ce723df6a3fe3416ff0cf819fedf40027f36c9ce1acb8a2f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005541", "prompt": "Calculate: (17 + (-48 + (-70))) * (30 / (-346))", "solution_steps": ["Add: -48 + (-70) = -118", "Add: 17 + (-118) = -101", "Divide: 30 / (-346) = -15/173", "Multiply: -101 * (-15/173) = 1515/173"], "final_answer": "1515/173", "answer_type": "rational", "kind": "expression", "math_text": "(17 + (-48 + (-70))) * (30 / (-346))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -48, \"c\": -70, \"d\": 30, \"e\": -346}", "seed": "4696521505134551131", "semantic_fingerprint": "sha256:482ac87a71be6e9a59d8ff2446049538b74b634b0d1578003b808b7a7598720a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005542", "prompt": "Calculate: -666 + (-11) + (-209) + (-13 + (-90))", "solution_steps": ["Add: -666 + (-11) = -677", "Add: -677 + (-209) = -886", "Add: -13 + (-90) = -103", "Add: -886 + (-103) = -989"], "final_answer": "-989", "answer_type": "integer", "kind": "expression", "math_text": "-666 + (-11) + (-209) + (-13 + (-90))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -666, \"b\": -11, \"c\": -209, \"d\": -13, \"e\": -90}", "seed": "874519350865209950", "semantic_fingerprint": "sha256:3f4e7c671154bf6832a96db113d1e897488be5e20fe9dbab86a19af95deda731", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005543", "prompt": "What value of x satisfies -2(x - 69) - 1 = x + 164?", "solution_steps": ["Expand: -2x + 138 - 1 = x + 164", "Combine constants: -2x + 137 = x + 164", "Subtract x from both sides: -3x + 137 = 164", "Subtract 137 from both sides: -3x = 27", "Divide both sides by -3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 69) - 1 = x + 164", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 69, \"c\": 1, \"e\": 164, \"x\": -9}", "seed": "745455910478907554", "semantic_fingerprint": "sha256:9fae48b0852e04d8ec994425227c9b06d81eeb7a2d291f4fe7b9d33e67444eb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005544", "prompt": "Compute: 43 * 81 - 3 + (-2) / 1", "solution_steps": ["Multiply: 43 * 81 = 3483", "Subtract: 3483 - 3 = 3480", "Divide: -2 / 1 = -2", "Add: 3480 + (-2) = 3478"], "final_answer": "3478", "answer_type": "integer", "kind": "expression", "math_text": "43 * 81 - 3 + (-2) / 1", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 81, \"c\": 3, \"d\": -2, \"e\": 1}", "seed": "12801696575709511906", "semantic_fingerprint": "sha256:b46aa781c86e46488680df065e7b268b994396fc803898c2c9167a02ada79ff4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005545", "prompt": "Solve the equation -3x - 301 = 6(x - 6) for x.", "solution_steps": ["Expand: -3x - 301 = 6x - 36", "Subtract 6x from both sides: -9x - 301 = -36", "Add 301 to both sides: -9x = 265", "Divide both sides by -9: x = -265/9"], "final_answer": "-265/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 301 = 6(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 301, \"c\": 6, \"d\": 6}", "seed": "1286070539296295047", "semantic_fingerprint": "sha256:73c5485860487cd3348d7d9fff247eda5d65e72032011f453da5fa8d40a4d277", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005546", "prompt": "What value of x satisfies 9(x + 3) + 90 = x + 229?", "solution_steps": ["Expand: 9x + 27 + 90 = x + 229", "Combine constants: 9x + 117 = x + 229", "Subtract x from both sides: 8x + 117 = 229", "Subtract 117 from both sides: 8x = 112", "Divide both sides by 8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 3) + 90 = x + 229", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 90, \"e\": 229, \"x\": 14}", "seed": "10819640228719451745", "semantic_fingerprint": "sha256:ca7a50303cafb1261035d2d2ed73e5d1e487184a35c1036a454a7b8659067807", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005547", "prompt": "Calculate: -8 * 298 - 208 * 459 / (-21 / 9)", "solution_steps": ["Multiply: -8 * 298 = -2384", "Multiply: 208 * 459 = 95472", "Divide: -21 / 9 = -7/3", "Divide: 95472 / (-7/3) = -286416/7", "Subtract: -2384 - (-286416/7) = 269728/7"], "final_answer": "269728/7", "answer_type": "rational", "kind": "expression", "math_text": "-8 * 298 - 208 * 459 / (-21 / 9)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (/ (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 298, \"c\": 208, \"d\": 459, \"e\": -21, \"f\": 9}", "seed": "7571421664868882798", "semantic_fingerprint": "sha256:38739c8cf504973d53357af8c85a3ffcb4f6f0941340b3b68b1287b5b047036e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005548", "prompt": "Find x: 12x = 4(x + 61) - 553", "solution_steps": ["Expand: 12x = 4x + 244 - 553", "Combine constants: 12x = 4x - 309", "Subtract 4x from both sides: 8x = -309", "Divide both sides by 8: x = -309/8"], "final_answer": "-309/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 4(x + 61) - 553", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 61, \"d\": 553}", "seed": "15231256385815608266", "semantic_fingerprint": "sha256:1bc93b2fe16b6dbd91437c066932b81a9e4cea8adcba26c7952a64975f505106", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005549", "prompt": "Find x: 10x = 5(x + 319) - 6", "solution_steps": ["Expand: 10x = 5x + 1595 - 6", "Combine constants: 10x = 5x + 1589", "Subtract 5x from both sides: 5x = 1589", "Divide both sides by 5: x = 1589/5"], "final_answer": "1589/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 5(x + 319) - 6", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 319, \"d\": 6}", "seed": "9489292474573369459", "semantic_fingerprint": "sha256:1ac975b9b6a54ce134b139d29c824cda68d843317222b62d2503734122ea5a37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005550", "prompt": "Compute: (-8 + 80) / (554 + 93)", "solution_steps": ["Add: -8 + 80 = 72", "Add: 554 + 93 = 647", "Divide: 72 / 647 = 72/647"], "final_answer": "72/647", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 80) / (554 + 93)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 80, \"c\": 554, \"d\": 93}", "seed": "30336475634350655", "semantic_fingerprint": "sha256:0b41d5e26ce7098170d8774e9b8e53f5c9032c96c4fb568b648286a651927167", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005551", "prompt": "What value of x satisfies 4(x - 64) - 4 = x + 67?", "solution_steps": ["Expand: 4x - 256 - 4 = x + 67", "Combine constants: 4x - 260 = x + 67", "Subtract x from both sides: 3x - 260 = 67", "Add 260 to both sides: 3x = 327", "Divide both sides by 3: x = 109"], "final_answer": "109", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 64) - 4 = x + 67", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 64, \"c\": 4, \"d\": 67}", "seed": "15773183703629709488", "semantic_fingerprint": "sha256:a9a2c53be045599ffd4f07ac05474118b03270ef15c44ba7c9b3ae7543f1732d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005552", "prompt": "Calculate: -5 - (5 + 1 / (-56) + 31 * (-97))", "solution_steps": ["Divide: 1 / (-56) = -1/56", "Add: 5 + (-1/56) = 279/56", "Multiply: 31 * (-97) = -3007", "Add: 279/56 + (-3007) = -168113/56", "Subtract: -5 - (-168113/56) = 167833/56"], "final_answer": "167833/56", "answer_type": "rational", "kind": "expression", "math_text": "-5 - (5 + 1 / (-56) + 31 * (-97))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ n (/ n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 1, \"d\": -56, \"e\": 31, \"f\": -97}", "seed": "11441102910930480630", "semantic_fingerprint": "sha256:add9558fa0a45daad2433ad282add8c9a5726322029cc083dfbce324c0f08b5f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005553", "prompt": "Solve for x: -9x - 36 = -11x - 34", "solution_steps": ["Add 11x to both sides: 2x - 36 = -34", "Add 36 to both sides: 2x = 2", "Divide both sides by 2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 36 = -11x - 34", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 36, \"c\": -11, \"e\": -34, \"x\": 1}", "seed": "6178292307072513745", "semantic_fingerprint": "sha256:c71a67cdddd87c6efb9b5e79897b37e60750c9e1071c16c78bf6adb3cc0ed23d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005554", "prompt": "Evaluate: 5 / (-318 + (197 + 33 * 19 / (-15)))", "solution_steps": ["Multiply: 33 * 19 = 627", "Divide: 627 / (-15) = -209/5", "Add: 197 + (-209/5) = 776/5", "Add: -318 + 776/5 = -814/5", "Divide: 5 / (-814/5) = -25/814"], "final_answer": "-25/814", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-318 + (197 + 33 * 19 / (-15)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (+ n (/ (* n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -318, \"c\": 197, \"d\": 33, \"e\": 19, \"f\": -15}", "seed": "4589133221053442113", "semantic_fingerprint": "sha256:61ab90108a7a3f7ae7cd33ef5d27d8837addb01c018c963c40766b90d9877597", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005555", "prompt": "Solve for x: 12(x + 11) - 65 = x + 5", "solution_steps": ["Expand: 12x + 132 - 65 = x + 5", "Combine constants: 12x + 67 = x + 5", "Subtract x from both sides: 11x + 67 = 5", "Subtract 67 from both sides: 11x = -62", "Divide both sides by 11: x = -62/11"], "final_answer": "-62/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 11) - 65 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 11, \"c\": 65, \"d\": 5}", "seed": "13739009115612214", "semantic_fingerprint": "sha256:de458fe90abe35d76de9849ebe4bb767f52d3d9cb2842e2d656c696ab61a4d83", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005556", "prompt": "What value of x satisfies 5(x + 61) - 9 = x + 296?", "solution_steps": ["Expand: 5x + 305 - 9 = x + 296", "Combine constants: 5x + 296 = x + 296", "Subtract x from both sides: 4x + 296 = 296", "Subtract 296 from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 61) - 9 = x + 296", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 61, \"c\": 9, \"e\": 296, \"x\": 0}", "seed": "5050671416841319713", "semantic_fingerprint": "sha256:de233fcea677bfbf6a3687f9b391917e0dc904a34bbab37eefdb48cbfd32073b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005557", "prompt": "What value of x satisfies 4x - 66 = 8x - 54?", "solution_steps": ["Subtract 8x from both sides: -4x - 66 = -54", "Add 66 to both sides: -4x = 12", "Divide both sides by -4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 66 = 8x - 54", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 66, \"c\": 8, \"e\": -54, \"x\": -3}", "seed": "13733550142954180385", "semantic_fingerprint": "sha256:66e3857b117a3e4d5ee87f6f45becc810cac1f334a4a4587408235658f468067", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005558", "prompt": "Solve for x: -11(x - 65) + 568 = -6(x + 768)", "solution_steps": ["Expand: -11x + 715 + 568 = -6(x + 768)", "Expand: -11x + 715 + 568 = -6x - 4608", "Combine constants: -11x + 1283 = -6x - 4608", "Add 6x to both sides: -5x + 1283 = -4608", "Subtract 1283 from both sides: -5x = -5891", "Divide both sides by -5: x = 5891/5"], "final_answer": "5891/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 65) + 568 = -6(x + 768)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 65, \"c\": 568, \"d\": -6, \"e\": 768}", "seed": "7369774091397472423", "semantic_fingerprint": "sha256:fb33e3a192881a5431ee6c77e865b15d2299ecd6092d23d428625b30eb186d7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005559", "prompt": "Solve the equation 9x = -12(x + 36) + 306 for x.", "solution_steps": ["Expand: 9x = -12x - 432 + 306", "Combine constants: 9x = -12x - 126", "Add 12x to both sides: 21x = -126", "Divide both sides by 21: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = -12(x + 36) + 306", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -12, \"c\": 36, \"e\": 306, \"x\": -6}", "seed": "1897957611006409399", "semantic_fingerprint": "sha256:710c7aed222b0cea70dab7da53f17d2ece1d69976c7679b20c660e4bfa66cc87", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005560", "prompt": "Compute: -50 - (30 + (-97) + (-98)) * (-33)", "solution_steps": ["Add: 30 + (-97) = -67", "Add: -67 + (-98) = -165", "Multiply: -165 * (-33) = 5445", "Subtract: -50 - 5445 = -5495"], "final_answer": "-5495", "answer_type": "integer", "kind": "expression", "math_text": "-50 - (30 + (-97) + (-98)) * (-33)", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 30, \"c\": -97, \"d\": -98, \"e\": -33}", "seed": "10454246255529087759", "semantic_fingerprint": "sha256:7cbfd6541f13901a229119a23e24d9dcd2bb1050bc14055c83a62b19f3491583", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005561", "prompt": "What value of x satisfies -6x - 236 = 4(x - 79)?", "solution_steps": ["Expand: -6x - 236 = 4x - 316", "Subtract 4x from both sides: -10x - 236 = -316", "Add 236 to both sides: -10x = -80", "Divide both sides by -10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 236 = 4(x - 79)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 79, \"e\": -236, \"x\": 8}", "seed": "4307312830398958179", "semantic_fingerprint": "sha256:7e82165a2d848180acfa892cc215ba3ec934d78cd71664a149b57d2cfec37e36", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005562", "prompt": "What is 2 + (8 - (-4 + 43))?", "solution_steps": ["Add: -4 + 43 = 39", "Subtract: 8 - 39 = -31", "Add: 2 + (-31) = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "expression", "math_text": "2 + (8 - (-4 + 43))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": -4, \"d\": 43}", "seed": "16842617931357354021", "semantic_fingerprint": "sha256:39058d34d213ea0af327652c966182c77c756be9ff0b8eb6ef918400302631cb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005563", "prompt": "What is (40 - 0) * (-4 / 50) - 1?", "solution_steps": ["Subtract: 40 - 0 = 40", "Divide: -4 / 50 = -2/25", "Multiply: 40 * (-2/25) = -16/5", "Subtract: -16/5 - 1 = -21/5"], "final_answer": "-21/5", "answer_type": "rational", "kind": "expression", "math_text": "(40 - 0) * (-4 / 50) - 1", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 0, \"c\": -4, \"d\": 50, \"e\": 1}", "seed": "11619328767002585882", "semantic_fingerprint": "sha256:a49ccc3aaeab71c40f47c61b52b914024fbc42e9d9314590ceeccf05041b0d91", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005564", "prompt": "Calculate: -4 * 964 + 121 * 46", "solution_steps": ["Multiply: -4 * 964 = -3856", "Multiply: 121 * 46 = 5566", "Add: -3856 + 5566 = 1710"], "final_answer": "1710", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 964 + 121 * 46", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 964, \"c\": 121, \"d\": 46}", "seed": "7946792817011069684", "semantic_fingerprint": "sha256:e0abe6cc32af0c66b17f3691e1e0b62261f8d7b73e43e42c9aef049fda3612e5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005565", "prompt": "Find x: 5x - 638 = 7(x - 275)", "solution_steps": ["Expand: 5x - 638 = 7x - 1925", "Subtract 7x from both sides: -2x - 638 = -1925", "Add 638 to both sides: -2x = -1287", "Divide both sides by -2: x = 1287/2"], "final_answer": "1287/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 638 = 7(x - 275)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 638, \"c\": 7, \"d\": 275}", "seed": "2907830806397860359", "semantic_fingerprint": "sha256:6391dff8e8691d57ef6e97642051bb372979d711849bf807cba6146af0f84c4e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005566", "prompt": "Find x: 6(x + 738) = 8(x - 9) + 8", "solution_steps": ["Expand: 6x + 4428 = 8(x - 9) + 8", "Expand: 6x + 4428 = 8x - 72 + 8", "Combine constants: 6x + 4428 = 8x - 64", "Subtract 8x from both sides: -2x + 4428 = -64", "Subtract 4428 from both sides: -2x = -4492", "Divide both sides by -2: x = 2246"], "final_answer": "2246", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 738) = 8(x - 9) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 738, \"c\": 8, \"d\": 9, \"e\": 8}", "seed": "15951427638382291394", "semantic_fingerprint": "sha256:f1138408fe45c3e1a6e266c9aa23505d750b79bd9160577760a5cf05d1aad3e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005567", "prompt": "Calculate: (-325 + 6) / (48 + (-2))", "solution_steps": ["Add: -325 + 6 = -319", "Add: 48 + (-2) = 46", "Divide: -319 / 46 = -319/46"], "final_answer": "-319/46", "answer_type": "rational", "kind": "expression", "math_text": "(-325 + 6) / (48 + (-2))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -325, \"b\": 6, \"c\": 48, \"d\": -2}", "seed": "55300107472084054", "semantic_fingerprint": "sha256:f691db994c33c0a2399f7ab93e34258aa8c6fd197c42de12844499a92857147e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005568", "prompt": "Calculate: -898 * 7 + (736 - (-6))", "solution_steps": ["Multiply: -898 * 7 = -6286", "Subtract: 736 - (-6) = 742", "Add: -6286 + 742 = -5544"], "final_answer": "-5544", "answer_type": "integer", "kind": "expression", "math_text": "-898 * 7 + (736 - (-6))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -898, \"b\": 7, \"c\": 736, \"d\": -6}", "seed": "956581833323398468", "semantic_fingerprint": "sha256:c2a770fd9f15a908bcab1adfa4db6f006ad390b80365f8d672ebbc2be387c542", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005569", "prompt": "Evaluate: 34 * 303 + 135 * 1", "solution_steps": ["Multiply: 34 * 303 = 10302", "Multiply: 135 * 1 = 135", "Add: 10302 + 135 = 10437"], "final_answer": "10437", "answer_type": "integer", "kind": "expression", "math_text": "34 * 303 + 135 * 1", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 303, \"c\": 135, \"d\": 1}", "seed": "13943671608379368597", "semantic_fingerprint": "sha256:1cb698085db4e1818f877809c4a484d0a776a26dd61a6e86a962bf6f9331fca8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005570", "prompt": "Solve the equation 9(x + 79) = -10(x - 1) + 701 for x.", "solution_steps": ["Expand: 9x + 711 = -10(x - 1) + 701", "Expand: 9x + 711 = -10x + 10 + 701", "Combine constants: 9x + 711 = -10x + 711", "Add 10x to both sides: 19x + 711 = 711", "Subtract 711 from both sides: 19x = 0", "Divide both sides by 19: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 79) = -10(x - 1) + 701", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 79, \"c\": -10, \"d\": 1, \"f\": 701, \"x\": 0}", "seed": "4336871405851458830", "semantic_fingerprint": "sha256:8e3840a214d7dd31728c6a4371b066f95faf80ad16449b3bec8f5a9c97824421", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005571", "prompt": "What value of x satisfies 6x = -2(x + 30) + 100?", "solution_steps": ["Expand: 6x = -2x - 60 + 100", "Combine constants: 6x = -2x + 40", "Add 2x to both sides: 8x = 40", "Divide both sides by 8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = -2(x + 30) + 100", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -2, \"c\": 30, \"e\": 100, \"x\": 5}", "seed": "4619683853382802179", "semantic_fingerprint": "sha256:d2d7745fd0630706029760d2445279bf5f4a6af744a4797ebc536021c4257339", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005572", "prompt": "What is (15 + 8) / (44 - (-59)) / 2?", "solution_steps": ["Add: 15 + 8 = 23", "Subtract: 44 - (-59) = 103", "Divide: 23 / 103 = 23/103", "Divide: (23/103) / 2 = 23/206"], "final_answer": "23/206", "answer_type": "rational", "kind": "expression", "math_text": "(15 + 8) / (44 - (-59)) / 2", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 8, \"c\": 44, \"d\": -59, \"e\": 2}", "seed": "7118839625574213668", "semantic_fingerprint": "sha256:7fc1ecbb59824242dcec41382cf647aa07cd42fa5377008ce1f72cd69658a82c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005573", "prompt": "Compute: -42 * 2 + (2 - (-52)) * (-590 - 938)", "solution_steps": ["Multiply: -42 * 2 = -84", "Subtract: 2 - (-52) = 54", "Subtract: -590 - 938 = -1528", "Multiply: 54 * (-1528) = -82512", "Add: -84 + (-82512) = -82596"], "final_answer": "-82596", "answer_type": "integer", "kind": "expression", "math_text": "-42 * 2 + (2 - (-52)) * (-590 - 938)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 2, \"c\": 2, \"d\": -52, \"e\": -590, \"f\": 938}", "seed": "15703446235286302005", "semantic_fingerprint": "sha256:467fb3eebf6ad3460037693cb1fc0a837616ab702f2df29f4d9a27dbc8466f79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005574", "prompt": "Compute: -4 + (-5) - (-6 + (-6) + (-65 + 2))", "solution_steps": ["Add: -4 + (-5) = -9", "Add: -6 + (-6) = -12", "Add: -65 + 2 = -63", "Add: -12 + (-63) = -75", "Subtract: -9 - (-75) = 66"], "final_answer": "66", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-5) - (-6 + (-6) + (-65 + 2))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -5, \"c\": -6, \"d\": -6, \"e\": -65, \"f\": 2}", "seed": "10147890960939719169", "semantic_fingerprint": "sha256:8932b36d0092469db88daf86b1aad95dfac4f9ed411f366fb03df29a35e9d31c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005575", "prompt": "Find x: 9x - 33 = 5(x - 9)", "solution_steps": ["Expand: 9x - 33 = 5x - 45", "Subtract 5x from both sides: 4x - 33 = -45", "Add 33 to both sides: 4x = -12", "Divide both sides by 4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 33 = 5(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 9, \"e\": -33, \"x\": -3}", "seed": "14512723009739441809", "semantic_fingerprint": "sha256:3e968af7c173d9babc55867b4e3905d63b06bc83727f769da5aa579376b2518e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005576", "prompt": "Calculate: 78 / (-77) / (-84) + (-6 - 1)", "solution_steps": ["Divide: 78 / (-77) = -78/77", "Divide: (-78/77) / (-84) = 13/1078", "Subtract: -6 - 1 = -7", "Add: 13/1078 + (-7) = -7533/1078"], "final_answer": "-7533/1078", "answer_type": "rational", "kind": "expression", "math_text": "78 / (-77) / (-84) + (-6 - 1)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -77, \"c\": -84, \"d\": -6, \"e\": 1}", "seed": "15724972516664349311", "semantic_fingerprint": "sha256:b0fb022ed4754935c77f43e36d3f2dacb9d2fa4a948fff5382e274cc4c6c04d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005577", "prompt": "Compute: 6 * (1 * (-6)) + 8", "solution_steps": ["Multiply: 1 * (-6) = -6", "Multiply: 6 * (-6) = -36", "Add: -36 + 8 = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "expression", "math_text": "6 * (1 * (-6)) + 8", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": -6, \"d\": 8}", "seed": "8042873572629354894", "semantic_fingerprint": "sha256:17feffd38c0aaf2a9f7402ada50f11ff1fb3122bb57f48109c85ef44771f84fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005578", "prompt": "What is -784 + (73 - (864 + 22))?", "solution_steps": ["Add: 864 + 22 = 886", "Subtract: 73 - 886 = -813", "Add: -784 + (-813) = -1597"], "final_answer": "-1597", "answer_type": "integer", "kind": "expression", "math_text": "-784 + (73 - (864 + 22))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -784, \"b\": 73, \"c\": 864, \"d\": 22}", "seed": "6620705080147790949", "semantic_fingerprint": "sha256:1250ad51c248e4c60c2d1eb1a295feb7a821cdfbbad7392d5740fa94ade09de7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005579", "prompt": "Compute: -5 / 26 * (49 / (-5))", "solution_steps": ["Divide: -5 / 26 = -5/26", "Divide: 49 / (-5) = -49/5", "Multiply: (-5/26) * (-49/5) = 49/26"], "final_answer": "49/26", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 26 * (49 / (-5))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 26, \"c\": 49, \"d\": -5}", "seed": "13080337527903460442", "semantic_fingerprint": "sha256:83eb4f72444916bba322db37ec818d49d1806abf05506bfca3c7febd397bc581", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005580", "prompt": "Find x: -10(x + 2) + 582 = x + 694", "solution_steps": ["Expand: -10x - 20 + 582 = x + 694", "Combine constants: -10x + 562 = x + 694", "Subtract x from both sides: -11x + 562 = 694", "Subtract 562 from both sides: -11x = 132", "Divide both sides by -11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 2) + 582 = x + 694", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 2, \"c\": 582, \"e\": 694, \"x\": -12}", "seed": "10230476504028354368", "semantic_fingerprint": "sha256:b70a42add9e4edc37cc3ae62603b029681fd5dfcbdbf2304edcc82e34f37e79f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005581", "prompt": "Find x: -2x - 34 = -3x - 50", "solution_steps": ["Add 3x to both sides: x - 34 = -50", "Add 34 to both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 34 = -3x - 50", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 34, \"c\": -3, \"e\": -50, \"x\": -16}", "seed": "16173274136041966129", "semantic_fingerprint": "sha256:3b6ca461e2e03a351a99de31a32b938eacc63fe6fe381c1d6dfa4da109cd7194", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005582", "prompt": "Compute: 404 + (-4 - (66 - (-54) + (-5) * 5))", "solution_steps": ["Subtract: 66 - (-54) = 120", "Multiply: -5 * 5 = -25", "Add: 120 + (-25) = 95", "Subtract: -4 - 95 = -99", "Add: 404 + (-99) = 305"], "final_answer": "305", "answer_type": "integer", "kind": "expression", "math_text": "404 + (-4 - (66 - (-54) + (-5) * 5))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (+ (- n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 404, \"b\": -4, \"c\": 66, \"d\": -54, \"e\": -5, \"f\": 5}", "seed": "8508420805584573833", "semantic_fingerprint": "sha256:12f4b15603d87c82c50dadfae7714c55353b5e88a0b50b2b0d0f81fb6f988109", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005583", "prompt": "Find x: 2(x + 72) - 2 = x + 145", "solution_steps": ["Expand: 2x + 144 - 2 = x + 145", "Combine constants: 2x + 142 = x + 145", "Subtract x from both sides: x + 142 = 145", "Subtract 142 from both sides: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 72) - 2 = x + 145", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 72, \"c\": 2, \"e\": 145, \"x\": 3}", "seed": "13129309297364967010", "semantic_fingerprint": "sha256:632a400c734e0b9eb44634289602f91152487c145276ad984be7cf0aac811d62", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005584", "prompt": "What is 8 / (319 + 7 + (-33 + 97))?", "solution_steps": ["Add: 319 + 7 = 326", "Add: -33 + 97 = 64", "Add: 326 + 64 = 390", "Divide: 8 / 390 = 4/195"], "final_answer": "4/195", "answer_type": "rational", "kind": "expression", "math_text": "8 / (319 + 7 + (-33 + 97))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 319, \"c\": 7, \"d\": -33, \"e\": 97}", "seed": "12107587745283850779", "semantic_fingerprint": "sha256:2d0b1125b65a53dc0787cba32db73533a9769859d91a3f0ca9854ffc0786a326", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005585", "prompt": "Solve for x: 10x = 4(x + 3) - 30", "solution_steps": ["Expand: 10x = 4x + 12 - 30", "Combine constants: 10x = 4x - 18", "Subtract 4x from both sides: 6x = -18", "Divide both sides by 6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 4(x + 3) - 30", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 3, \"e\": -30, \"x\": -3}", "seed": "12020202699465347788", "semantic_fingerprint": "sha256:55408fb8951d05ab87ed50c8642768691e5901e3ae5853f10dc09c1989b2247c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005586", "prompt": "Evaluate: -5 / (-982 / 68) + (-10)", "solution_steps": ["Divide: -982 / 68 = -491/34", "Divide: -5 / (-491/34) = 170/491", "Add: 170/491 + (-10) = -4740/491"], "final_answer": "-4740/491", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-982 / 68) + (-10)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -982, \"c\": 68, \"d\": -10}", "seed": "10994405119362724029", "semantic_fingerprint": "sha256:b59475f4aa956d747cc5cdf18b5260964f85fbfa68fe8a44a15c268a8fde511c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005587", "prompt": "Evaluate: (6 + (-7)) * (-65 + 69 * (-22))", "solution_steps": ["Add: 6 + (-7) = -1", "Multiply: 69 * (-22) = -1518", "Add: -65 + (-1518) = -1583", "Multiply: -1 * (-1583) = 1583"], "final_answer": "1583", "answer_type": "integer", "kind": "expression", "math_text": "(6 + (-7)) * (-65 + 69 * (-22))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": -65, \"d\": 69, \"e\": -22}", "seed": "18369293243751357782", "semantic_fingerprint": "sha256:3f4cafc0e250227ce1eb94beef4751eaadece0a97ac54507825acea62788b729", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005588", "prompt": "Compute: -4 / 551 / (6 - 16) * (577 + 43)", "solution_steps": ["Divide: -4 / 551 = -4/551", "Subtract: 6 - 16 = -10", "Divide: (-4/551) / (-10) = 2/2755", "Add: 577 + 43 = 620", "Multiply: (2/2755) * 620 = 248/551"], "final_answer": "248/551", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 551 / (6 - 16) * (577 + 43)", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 551, \"c\": 6, \"d\": 16, \"e\": 577, \"f\": 43}", "seed": "7019565203445033737", "semantic_fingerprint": "sha256:17c9dd65ba6268c0cbd3b8a16e7c308faf5dff67d091440dcc33880c6e2302ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005589", "prompt": "Calculate: (3 - (73 - 466) - (-522)) * (-70) + (-3)", "solution_steps": ["Subtract: 73 - 466 = -393", "Subtract: 3 - (-393) = 396", "Subtract: 396 - (-522) = 918", "Multiply: 918 * (-70) = -64260", "Add: -64260 + (-3) = -64263"], "final_answer": "-64263", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (73 - 466) - (-522)) * (-70) + (-3)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- (- n (- n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 73, \"c\": 466, \"d\": -522, \"e\": -70, \"f\": -3}", "seed": "813668160699229154", "semantic_fingerprint": "sha256:b95399ceab7bdab5184b9c8732b802e72c4c35d95e95bb74ef2723ec499b2075", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005590", "prompt": "Compute: (8 + (-96)) / (4 - (-926)) + (-1 - 2)", "solution_steps": ["Add: 8 + (-96) = -88", "Subtract: 4 - (-926) = 930", "Divide: -88 / 930 = -44/465", "Subtract: -1 - 2 = -3", "Add: -44/465 + (-3) = -1439/465"], "final_answer": "-1439/465", "answer_type": "rational", "kind": "expression", "math_text": "(8 + (-96)) / (4 - (-926)) + (-1 - 2)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -96, \"c\": 4, \"d\": -926, \"e\": -1, \"f\": 2}", "seed": "3621919256207540846", "semantic_fingerprint": "sha256:b30fce9c41eeefdbf2d2fcf0442c389f54085db26465b45e38e7e0bea1c8b366", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005591", "prompt": "Evaluate: -9 / (-5 * (262 / 1 + 35) + 50)", "solution_steps": ["Divide: 262 / 1 = 262", "Add: 262 + 35 = 297", "Multiply: -5 * 297 = -1485", "Add: -1485 + 50 = -1435", "Divide: -9 / (-1435) = 9/1435"], "final_answer": "9/1435", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-5 * (262 / 1 + 35) + 50)", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (* n (+ (/ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -5, \"c\": 262, \"d\": 1, \"e\": 35, \"f\": 50}", "seed": "15112780433145502668", "semantic_fingerprint": "sha256:0295bf1bb9748f93434af5ca38f1b74d14593ba517c387fb274e642f13dcdd30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005592", "prompt": "What is -51 + 47 + (-850 + (85 + (-85)))?", "solution_steps": ["Add: -51 + 47 = -4", "Add: 85 + (-85) = 0", "Add: -850 + 0 = -850", "Add: -4 + (-850) = -854"], "final_answer": "-854", "answer_type": "integer", "kind": "expression", "math_text": "-51 + 47 + (-850 + (85 + (-85)))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 47, \"c\": -850, \"d\": 85, \"e\": -85}", "seed": "16206480973035900154", "semantic_fingerprint": "sha256:34a70b730fde23059b056e37e9995cea6ff4fbeb69efacda0561207fd5f7fb37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005593", "prompt": "Solve for x: 7(x + 88) + 112 = x + 8", "solution_steps": ["Expand: 7x + 616 + 112 = x + 8", "Combine constants: 7x + 728 = x + 8", "Subtract x from both sides: 6x + 728 = 8", "Subtract 728 from both sides: 6x = -720", "Divide both sides by 6: x = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 88) + 112 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 88, \"c\": 112, \"d\": 8}", "seed": "2544289144757658029", "semantic_fingerprint": "sha256:d07044b0cf629add4cede244b41727654be8baacc0a4783044bd851c68a091d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005594", "prompt": "Solve for x: -9x = 2(x + 555) - 901", "solution_steps": ["Expand: -9x = 2x + 1110 - 901", "Combine constants: -9x = 2x + 209", "Subtract 2x from both sides: -11x = 209", "Divide both sides by -11: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = 2(x + 555) - 901", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": 555, \"e\": -901, \"x\": -19}", "seed": "11694249982794590410", "semantic_fingerprint": "sha256:80f5425db06034b9550bc29619e632393dbb73190081f01b8f104c5f5861123b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005595", "prompt": "What value of x satisfies 4(x + 6) = 10(x - 32) + 30?", "solution_steps": ["Expand: 4x + 24 = 10(x - 32) + 30", "Expand: 4x + 24 = 10x - 320 + 30", "Combine constants: 4x + 24 = 10x - 290", "Subtract 10x from both sides: -6x + 24 = -290", "Subtract 24 from both sides: -6x = -314", "Divide both sides by -6: x = 157/3"], "final_answer": "157/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 6) = 10(x - 32) + 30", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 10, \"d\": 32, \"e\": 30}", "seed": "18054695509034218731", "semantic_fingerprint": "sha256:b66b577e52e59ad799b8371770fd381f5c747ecbbd14832416381680f2173fdd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005596", "prompt": "What value of x satisfies 9(x - 150) - 38 = x + 51?", "solution_steps": ["Expand: 9x - 1350 - 38 = x + 51", "Combine constants: 9x - 1388 = x + 51", "Subtract x from both sides: 8x - 1388 = 51", "Add 1388 to both sides: 8x = 1439", "Divide both sides by 8: x = 1439/8"], "final_answer": "1439/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 150) - 38 = x + 51", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 150, \"c\": 38, \"d\": 51}", "seed": "12706008440704689259", "semantic_fingerprint": "sha256:0d72294ff361863b08fbdc19c1fb0b3193f8274bc42ef8b4342bd59c353ccc8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005597", "prompt": "What value of x satisfies -11x - 15 = 8x - 395?", "solution_steps": ["Subtract 8x from both sides: -19x - 15 = -395", "Add 15 to both sides: -19x = -380", "Divide both sides by -19: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 15 = 8x - 395", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 15, \"c\": 8, \"e\": -395, \"x\": 20}", "seed": "13886861286337306154", "semantic_fingerprint": "sha256:322b94160a1eab1f82a167d681c090c60729ccae161e4dccbe66017fff36f489", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005598", "prompt": "Find x: 7(x + 7) = 9(x - 583) + 260", "solution_steps": ["Expand: 7x + 49 = 9(x - 583) + 260", "Expand: 7x + 49 = 9x - 5247 + 260", "Combine constants: 7x + 49 = 9x - 4987", "Subtract 9x from both sides: -2x + 49 = -4987", "Subtract 49 from both sides: -2x = -5036", "Divide both sides by -2: x = 2518"], "final_answer": "2518", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) = 9(x - 583) + 260", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 9, \"d\": 583, \"e\": 260}", "seed": "13108562483896012133", "semantic_fingerprint": "sha256:fc768696b20fe924e8975b78ecf53351ed1299579b68c9fd094ddc8638c6f55f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005599", "prompt": "Solve the equation -4x = 7(x + 9) + 90 for x.", "solution_steps": ["Expand: -4x = 7x + 63 + 90", "Combine constants: -4x = 7x + 153", "Subtract 7x from both sides: -11x = 153", "Divide both sides by -11: x = -153/11"], "final_answer": "-153/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = 7(x + 9) + 90", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 9, \"d\": 90}", "seed": "15026637578487287686", "semantic_fingerprint": "sha256:46972034b1009c4b0c075819b16413d709e48fe8d23c6b7151720892987655cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005600", "prompt": "What value of x satisfies 2(x + 2) + 770 = x + 755?", "solution_steps": ["Expand: 2x + 4 + 770 = x + 755", "Combine constants: 2x + 774 = x + 755", "Subtract x from both sides: x + 774 = 755", "Subtract 774 from both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) + 770 = x + 755", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 770, \"e\": 755, \"x\": -19}", "seed": "16438394177165661188", "semantic_fingerprint": "sha256:8c273e6add777f5ffe3765c7d0ea5a23f5700fe8e6d1cb92ae613d73c306cd47", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005601", "prompt": "Find x: 5x - 60 = 8(x - 30)", "solution_steps": ["Expand: 5x - 60 = 8x - 240", "Subtract 8x from both sides: -3x - 60 = -240", "Add 60 to both sides: -3x = -180", "Divide both sides by -3: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 60 = 8(x - 30)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 60, \"c\": 8, \"d\": 30}", "seed": "4170964801160542187", "semantic_fingerprint": "sha256:bc778b6782a5e239c3ca9f87d381b05f95239d138ff63db76d892cd1a564df01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005602", "prompt": "Evaluate: 36 * (-427) / (2 + 92 + (63 + (-405)))", "solution_steps": ["Multiply: 36 * (-427) = -15372", "Add: 2 + 92 = 94", "Add: 63 + (-405) = -342", "Add: 94 + (-342) = -248", "Divide: -15372 / (-248) = 3843/62"], "final_answer": "3843/62", "answer_type": "rational", "kind": "expression", "math_text": "36 * (-427) / (2 + 92 + (63 + (-405)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -427, \"c\": 2, \"d\": 92, \"e\": 63, \"f\": -405}", "seed": "5970999179622593013", "semantic_fingerprint": "sha256:f0636941d95064b9538e143e98295ad9e4da21cce4ac7495d304165cd7395bef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005603", "prompt": "Solve the equation 12x - 642 = 9(x - 75) for x.", "solution_steps": ["Expand: 12x - 642 = 9x - 675", "Subtract 9x from both sides: 3x - 642 = -675", "Add 642 to both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 642 = 9(x - 75)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 75, \"e\": -642, \"x\": -11}", "seed": "8176369133894210060", "semantic_fingerprint": "sha256:31bf7a774a30dce81bfe15cb97cb5f771a154be641eca3290215fa0b700766e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005604", "prompt": "What is 256 * (-4) * (262 / 320)?", "solution_steps": ["Multiply: 256 * (-4) = -1024", "Divide: 262 / 320 = 131/160", "Multiply: -1024 * (131/160) = -4192/5"], "final_answer": "-4192/5", "answer_type": "rational", "kind": "expression", "math_text": "256 * (-4) * (262 / 320)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 256, \"b\": -4, \"c\": 262, \"d\": 320}", "seed": "249898648025352581", "semantic_fingerprint": "sha256:c633b108eae52ce500a80f2f7b2333b92fb3b16328f8fcedd2dcde25af44edff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005605", "prompt": "Compute: (-47 - (64 - 0)) / (3 - (-8) - (-54))", "solution_steps": ["Subtract: 64 - 0 = 64", "Subtract: -47 - 64 = -111", "Subtract: 3 - (-8) = 11", "Subtract: 11 - (-54) = 65", "Divide: -111 / 65 = -111/65"], "final_answer": "-111/65", "answer_type": "rational", "kind": "expression", "math_text": "(-47 - (64 - 0)) / (3 - (-8) - (-54))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 64, \"c\": 0, \"d\": 3, \"e\": -8, \"f\": -54}", "seed": "11042578614039913618", "semantic_fingerprint": "sha256:4c1067a6a12b51079414903be20f3f12f29ee9b2cf7120e214fd5fcfc39881d3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005606", "prompt": "Compute: 98 * (4 + (-1)) + (-57 - 56 + (-3))", "solution_steps": ["Add: 4 + (-1) = 3", "Multiply: 98 * 3 = 294", "Subtract: -57 - 56 = -113", "Add: -113 + (-3) = -116", "Add: 294 + (-116) = 178"], "final_answer": "178", "answer_type": "integer", "kind": "expression", "math_text": "98 * (4 + (-1)) + (-57 - 56 + (-3))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 4, \"c\": -1, \"d\": -57, \"e\": 56, \"f\": -3}", "seed": "6820154688337264109", "semantic_fingerprint": "sha256:5b08f0e3d29b2e9b32ba3402a8f4fd71ce49e1b0460b0b60e07da2854022a2be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005607", "prompt": "What is -51 + (-274) * 5 - 95 / (-1 * 90)?", "solution_steps": ["Multiply: -274 * 5 = -1370", "Add: -51 + (-1370) = -1421", "Multiply: -1 * 90 = -90", "Divide: 95 / (-90) = -19/18", "Subtract: -1421 - (-19/18) = -25559/18"], "final_answer": "-25559/18", "answer_type": "rational", "kind": "expression", "math_text": "-51 + (-274) * 5 - 95 / (-1 * 90)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n n)) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -274, \"c\": 5, \"d\": 95, \"e\": -1, \"f\": 90}", "seed": "16042783699056433257", "semantic_fingerprint": "sha256:77fe97e8b3fff1bedec36e0f067c9c628c4ea51dd5b153c1e59615033f5d9ce6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005608", "prompt": "Compute: -20 * 297 + 71 + (-7) / 29", "solution_steps": ["Multiply: -20 * 297 = -5940", "Add: -5940 + 71 = -5869", "Divide: -7 / 29 = -7/29", "Add: -5869 + (-7/29) = -170208/29"], "final_answer": "-170208/29", "answer_type": "rational", "kind": "expression", "math_text": "-20 * 297 + 71 + (-7) / 29", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 297, \"c\": 71, \"d\": -7, \"e\": 29}", "seed": "2354251925431163593", "semantic_fingerprint": "sha256:5fc580ea4772ef72fa73cb150a3361c565fd8be179508ddcb7c3b876f0bd7e69", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005609", "prompt": "Compute: -8 * ((929 + 0) / (9 + 45)) / (-94)", "solution_steps": ["Add: 929 + 0 = 929", "Add: 9 + 45 = 54", "Divide: 929 / 54 = 929/54", "Multiply: -8 * (929/54) = -3716/27", "Divide: (-3716/27) / (-94) = 1858/1269"], "final_answer": "1858/1269", "answer_type": "rational", "kind": "expression", "math_text": "-8 * ((929 + 0) / (9 + 45)) / (-94)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (/ (+ n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 929, \"c\": 0, \"d\": 9, \"e\": 45, \"f\": -94}", "seed": "735311776256384503", "semantic_fingerprint": "sha256:8f8fa54979525d92ef623f16e558d60b2271d54a9bf7ae993ed11b765f0d4b46", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005610", "prompt": "What is -56 * 39 * (796 / 6)?", "solution_steps": ["Multiply: -56 * 39 = -2184", "Divide: 796 / 6 = 398/3", "Multiply: -2184 * (398/3) = -289744"], "final_answer": "-289744", "answer_type": "integer", "kind": "expression", "math_text": "-56 * 39 * (796 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 39, \"c\": 796, \"d\": 6}", "seed": "14810850972441886181", "semantic_fingerprint": "sha256:570d74df582f6f4a1c1133777f1c13966c3dc72ad05b1d292d50c2c9604f0527", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005611", "prompt": "Calculate: (80 - 8 * (-208)) / 1", "solution_steps": ["Multiply: 8 * (-208) = -1664", "Subtract: 80 - (-1664) = 1744", "Divide: 1744 / 1 = 1744"], "final_answer": "1744", "answer_type": "integer", "kind": "expression", "math_text": "(80 - 8 * (-208)) / 1", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 8, \"c\": -208, \"d\": 1}", "seed": "4835003540528209000", "semantic_fingerprint": "sha256:d3bde50a881bdbf3852b89e8a4332d6a933e63565274af45b55b773357600088", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005612", "prompt": "Find x: -10x - 627 = 11(x - 57)", "solution_steps": ["Expand: -10x - 627 = 11x - 627", "Subtract 11x from both sides: -21x - 627 = -627", "Add 627 to both sides: -21x = 0", "Divide both sides by -21: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 627 = 11(x - 57)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 11, \"c\": 57, \"e\": -627, \"x\": 0}", "seed": "7633170429490853499", "semantic_fingerprint": "sha256:85185c179da41df31ef4a160e703a758ef0a1a88ee20b2f3f557572f0d5e1219", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005613", "prompt": "Calculate: 573 * (-6 + 24) / (-59 - (-58))", "solution_steps": ["Add: -6 + 24 = 18", "Multiply: 573 * 18 = 10314", "Subtract: -59 - (-58) = -1", "Divide: 10314 / (-1) = -10314"], "final_answer": "-10314", "answer_type": "integer", "kind": "expression", "math_text": "573 * (-6 + 24) / (-59 - (-58))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 573, \"b\": -6, \"c\": 24, \"d\": -59, \"e\": -58}", "seed": "7536531549376396678", "semantic_fingerprint": "sha256:26a60bfeeef4910d3764a5aea51efb08550c887943743502a7ac493acccdcde0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005614", "prompt": "Find x: 3x = 4(x + 1) + 98", "solution_steps": ["Expand: 3x = 4x + 4 + 98", "Combine constants: 3x = 4x + 102", "Subtract 4x from both sides: -x = 102", "Divide both sides by -1: x = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 4(x + 1) + 98", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 1, \"d\": 98}", "seed": "1974686895700665572", "semantic_fingerprint": "sha256:3088df83b586398baec9512ed5e15495583f73342e1208a225f9bd9b9d25a334", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005615", "prompt": "Calculate: (97 + 33 / 11) * 36 / 90 + 448", "solution_steps": ["Divide: 33 / 11 = 3", "Add: 97 + 3 = 100", "Multiply: 100 * 36 = 3600", "Divide: 3600 / 90 = 40", "Add: 40 + 448 = 488"], "final_answer": "488", "answer_type": "integer", "kind": "expression", "math_text": "(97 + 33 / 11) * 36 / 90 + 448", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* (+ n (/ n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 33, \"c\": 11, \"d\": 36, \"e\": 90, \"f\": 448}", "seed": "16290942594611562975", "semantic_fingerprint": "sha256:1f9687f26b3da8d406e146409f0dfb9c68ea7d32054bfc429cdb9447976f59bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005616", "prompt": "What is -62 - (6 + (-59)) / 83?", "solution_steps": ["Add: 6 + (-59) = -53", "Divide: -53 / 83 = -53/83", "Subtract: -62 - (-53/83) = -5093/83"], "final_answer": "-5093/83", "answer_type": "rational", "kind": "expression", "math_text": "-62 - (6 + (-59)) / 83", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 6, \"c\": -59, \"d\": 83}", "seed": "9232963586733531908", "semantic_fingerprint": "sha256:7a1b764b4c775577f25dc46c4999363195c2de44c35b33807ed9b693418c966c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005617", "prompt": "What value of x satisfies 2(x + 5) + 740 = x + 736?", "solution_steps": ["Expand: 2x + 10 + 740 = x + 736", "Combine constants: 2x + 750 = x + 736", "Subtract x from both sides: x + 750 = 736", "Subtract 750 from both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 5) + 740 = x + 736", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 740, \"e\": 736, \"x\": -14}", "seed": "11061998402550940168", "semantic_fingerprint": "sha256:07d0957f0d94cfd8d527757b82fc52e42e697164577a6d38cbe4ce18e7935b42", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005618", "prompt": "Solve the equation 3(x - 93) + 333 = 7(x + 6) for x.", "solution_steps": ["Expand: 3x - 279 + 333 = 7(x + 6)", "Expand: 3x - 279 + 333 = 7x + 42", "Combine constants: 3x + 54 = 7x + 42", "Subtract 7x from both sides: -4x + 54 = 42", "Subtract 54 from both sides: -4x = -12", "Divide both sides by -4: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 93) + 333 = 7(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 93, \"c\": 7, \"d\": 6, \"f\": 333, \"x\": 3}", "seed": "8347911141922081296", "semantic_fingerprint": "sha256:1e9386e374f4c29dae4872529c6ff98015d0ba97b619a4597b5b5c1cbe639ca3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005619", "prompt": "Compute: -87 - 7 * (0 / (-5))", "solution_steps": ["Divide: 0 / (-5) = 0", "Multiply: 7 * 0 = 0", "Subtract: -87 - 0 = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-87 - 7 * (0 / (-5))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 7, \"c\": 0, \"d\": -5}", "seed": "11798326556800283708", "semantic_fingerprint": "sha256:9883471b1680ff588ee274e37a0813423f95d4857df1e4b2da939e17066fd4c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005620", "prompt": "Calculate: 5 / (-712) * 17 - 9 * (-9)", "solution_steps": ["Divide: 5 / (-712) = -5/712", "Multiply: (-5/712) * 17 = -85/712", "Multiply: 9 * (-9) = -81", "Subtract: -85/712 - (-81) = 57587/712"], "final_answer": "57587/712", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-712) * 17 - 9 * (-9)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -712, \"c\": 17, \"d\": 9, \"e\": -9}", "seed": "995078192400774690", "semantic_fingerprint": "sha256:944e3487cf3ad2a40bb1cfe92789316f89a13adfc416afb4736fc631f24a725b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005621", "prompt": "What value of x satisfies 7x = 3(x + 4) - 72?", "solution_steps": ["Expand: 7x = 3x + 12 - 72", "Combine constants: 7x = 3x - 60", "Subtract 3x from both sides: 4x = -60", "Divide both sides by 4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 3(x + 4) - 72", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 4, \"e\": -72, \"x\": -15}", "seed": "17654204437259428540", "semantic_fingerprint": "sha256:edf18e57d44dc58bc6935bd6b9fbc90bb60a687f2f2e956cc633c63ef45ef77c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005622", "prompt": "Solve the equation 11(x + 3) + 125 = x + 88 for x.", "solution_steps": ["Expand: 11x + 33 + 125 = x + 88", "Combine constants: 11x + 158 = x + 88", "Subtract x from both sides: 10x + 158 = 88", "Subtract 158 from both sides: 10x = -70", "Divide both sides by 10: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 3) + 125 = x + 88", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 125, \"e\": 88, \"x\": -7}", "seed": "3011776040935069961", "semantic_fingerprint": "sha256:ce423171cee122968bd04b1d7ff20aff2b1e8cd3d63014859da633f0ad80cdad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005623", "prompt": "Solve for x: -8x - 831 = 11(x - 79)", "solution_steps": ["Expand: -8x - 831 = 11x - 869", "Subtract 11x from both sides: -19x - 831 = -869", "Add 831 to both sides: -19x = -38", "Divide both sides by -19: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 831 = 11(x - 79)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 11, \"c\": 79, \"e\": -831, \"x\": 2}", "seed": "15412650435557792377", "semantic_fingerprint": "sha256:ce75647fcbef3379f114539ddf4c5b1bedd260fd39f088e6d7d505fefb1ad2c4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005624", "prompt": "What is (20 + (-6) - (-8 - 6)) / 1?", "solution_steps": ["Add: 20 + (-6) = 14", "Subtract: -8 - 6 = -14", "Subtract: 14 - (-14) = 28", "Divide: 28 / 1 = 28"], "final_answer": "28", "answer_type": "integer", "kind": "expression", "math_text": "(20 + (-6) - (-8 - 6)) / 1", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -6, \"c\": -8, \"d\": 6, \"e\": 1}", "seed": "7472678916921115985", "semantic_fingerprint": "sha256:759520e00241ebb2e48ed28591940411512b82f014b3996094814448af66b832", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005625", "prompt": "Evaluate: -4 + (-1 - 8) + (-8)", "solution_steps": ["Subtract: -1 - 8 = -9", "Add: -4 + (-9) = -13", "Add: -13 + (-8) = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-1 - 8) + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -1, \"c\": 8, \"d\": -8}", "seed": "3166248663159797295", "semantic_fingerprint": "sha256:53b0db765f5c022c93d947457828c7b907ccff6a7723d0f3c8897b522e0ddc68", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005626", "prompt": "Find x: -4x - 2 = -12x - 82", "solution_steps": ["Add 12x to both sides: 8x - 2 = -82", "Add 2 to both sides: 8x = -80", "Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 2 = -12x - 82", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": -12, \"e\": -82, \"x\": -10}", "seed": "10155312314188027453", "semantic_fingerprint": "sha256:33b3ead65e05daaa7c00b71419c57f9c29c68ec1456f94489a4da8980804132e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005627", "prompt": "What value of x satisfies 6(x + 50) + 645 = x + 955?", "solution_steps": ["Expand: 6x + 300 + 645 = x + 955", "Combine constants: 6x + 945 = x + 955", "Subtract x from both sides: 5x + 945 = 955", "Subtract 945 from both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 50) + 645 = x + 955", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 50, \"c\": 645, \"e\": 955, \"x\": 2}", "seed": "10898067976555633711", "semantic_fingerprint": "sha256:2c9aae7cf6f13e7f2017995e9c3ec11f3e4443cfac037a19ed75b66728461dc8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005628", "prompt": "Solve the equation 10(x - 35) - 20 = x + 1 for x.", "solution_steps": ["Expand: 10x - 350 - 20 = x + 1", "Combine constants: 10x - 370 = x + 1", "Subtract x from both sides: 9x - 370 = 1", "Add 370 to both sides: 9x = 371", "Divide both sides by 9: x = 371/9"], "final_answer": "371/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 35) - 20 = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 35, \"c\": 20, \"d\": 1}", "seed": "3539525176531303034", "semantic_fingerprint": "sha256:61530844f9be44d0db12ade1fca707846d0927b3f0e3539eed9c94414f57e90e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005629", "prompt": "Compute: -40 - 43 - 0 * (-9 + 2)", "solution_steps": ["Subtract: -40 - 43 = -83", "Add: -9 + 2 = -7", "Multiply: 0 * (-7) = 0", "Subtract: -83 - 0 = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "-40 - 43 - 0 * (-9 + 2)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 43, \"c\": 0, \"d\": -9, \"e\": 2}", "seed": "3108877739624665587", "semantic_fingerprint": "sha256:fb7ad990c1542a557f00aef29fae365b5f21d6bc59662676fbb9b564bac8495a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005630", "prompt": "Calculate: 3 + (-92) * 54 - (-36) - 120", "solution_steps": ["Multiply: -92 * 54 = -4968", "Add: 3 + (-4968) = -4965", "Subtract: -4965 - (-36) = -4929", "Subtract: -4929 - 120 = -5049"], "final_answer": "-5049", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-92) * 54 - (-36) - 120", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -92, \"c\": 54, \"d\": -36, \"e\": 120}", "seed": "13258076186633687851", "semantic_fingerprint": "sha256:38b6686d22588341a0063a9d4313359bf8112391f402414830f47510352f80fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005631", "prompt": "Solve the equation 5x - 145 = 3(x - 47) for x.", "solution_steps": ["Expand: 5x - 145 = 3x - 141", "Subtract 3x from both sides: 2x - 145 = -141", "Add 145 to both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 145 = 3(x - 47)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 47, \"e\": -145, \"x\": 2}", "seed": "13499629931396230835", "semantic_fingerprint": "sha256:2892341b9280058c40126fd27a2119b20ea9d689149309f44fef5aea4f0e4534", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005632", "prompt": "What is 51 * (47 / 210) * (95 * 72)?", "solution_steps": ["Divide: 47 / 210 = 47/210", "Multiply: 51 * (47/210) = 799/70", "Multiply: 95 * 72 = 6840", "Multiply: (799/70) * 6840 = 546516/7"], "final_answer": "546516/7", "answer_type": "rational", "kind": "expression", "math_text": "51 * (47 / 210) * (95 * 72)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 47, \"c\": 210, \"d\": 95, \"e\": 72}", "seed": "9256376650393915656", "semantic_fingerprint": "sha256:8ebc17b9ede20904c4c352ed8d3bda588b5405f83ba0f422baeeb5e189abe0b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005633", "prompt": "Calculate: -28 + (-9 - (-43)) + 99", "solution_steps": ["Subtract: -9 - (-43) = 34", "Add: -28 + 34 = 6", "Add: 6 + 99 = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "-28 + (-9 - (-43)) + 99", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -9, \"c\": -43, \"d\": 99}", "seed": "4410297303461437549", "semantic_fingerprint": "sha256:3a631a14741d593d6b6e43970977949f0c874bbefebf7690eb8e732f76428548", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005634", "prompt": "Solve for x: -11x = -3(x + 36) - 29", "solution_steps": ["Expand: -11x = -3x - 108 - 29", "Combine constants: -11x = -3x - 137", "Add 3x to both sides: -8x = -137", "Divide both sides by -8: x = 137/8"], "final_answer": "137/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = -3(x + 36) - 29", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -3, \"c\": 36, \"d\": 29}", "seed": "15381346158450568364", "semantic_fingerprint": "sha256:e061c37cb6c46cf0a3624946f0f489dd98e9e6d342755b9348e1f92a0ee2e821", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005635", "prompt": "Find x: 11(x - 6) - 1 = x + 63", "solution_steps": ["Expand: 11x - 66 - 1 = x + 63", "Combine constants: 11x - 67 = x + 63", "Subtract x from both sides: 10x - 67 = 63", "Add 67 to both sides: 10x = 130", "Divide both sides by 10: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 6) - 1 = x + 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 1, \"e\": 63, \"x\": 13}", "seed": "858997491971202826", "semantic_fingerprint": "sha256:a4d083bd1ad1f849319424019d7418056a2a6bae3a9496923574a25b11c1537d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005636", "prompt": "What is (645 - (9 + (-20))) * (495 + 4)?", "solution_steps": ["Add: 9 + (-20) = -11", "Subtract: 645 - (-11) = 656", "Add: 495 + 4 = 499", "Multiply: 656 * 499 = 327344"], "final_answer": "327344", "answer_type": "integer", "kind": "expression", "math_text": "(645 - (9 + (-20))) * (495 + 4)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 645, \"b\": 9, \"c\": -20, \"d\": 495, \"e\": 4}", "seed": "17328631902207666067", "semantic_fingerprint": "sha256:f3d0c24375ea38bb9dbafb96e6ae64155249de0cf2df0c2d0b3c66f9e4da0dc2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005637", "prompt": "Solve for x: 5(x - 8) + 5 = 4(x + 1)", "solution_steps": ["Expand: 5x - 40 + 5 = 4(x + 1)", "Expand: 5x - 40 + 5 = 4x + 4", "Combine constants: 5x - 35 = 4x + 4", "Subtract 4x from both sides: x - 35 = 4", "Add 35 to both sides: x = 39"], "final_answer": "39", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 8) + 5 = 4(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 5, \"d\": 4, \"e\": 1}", "seed": "9346393852320556921", "semantic_fingerprint": "sha256:175fe77db5f0c48530a555f765f374cc860da976fb0982258662b8f22290314a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005638", "prompt": "Evaluate: -17 / 1 * 5 - (-2 + 4)", "solution_steps": ["Divide: -17 / 1 = -17", "Multiply: -17 * 5 = -85", "Add: -2 + 4 = 2", "Subtract: -85 - 2 = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-17 / 1 * 5 - (-2 + 4)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 1, \"c\": 5, \"d\": -2, \"e\": 4}", "seed": "8032509172080149325", "semantic_fingerprint": "sha256:95dc027bca42cc397881201ed46d3dc0b383ed202f7cadec6d3f5c87561d47e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005639", "prompt": "What is 47 + (4 - 4) + (-379)?", "solution_steps": ["Subtract: 4 - 4 = 0", "Add: 47 + 0 = 47", "Add: 47 + (-379) = -332"], "final_answer": "-332", "answer_type": "integer", "kind": "expression", "math_text": "47 + (4 - 4) + (-379)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 4, \"c\": 4, \"d\": -379}", "seed": "17431640014791354183", "semantic_fingerprint": "sha256:e26f3c422edcc846f5635873f0cf9c1938d204d13ec9a838a2bec839fcfdfe99", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005640", "prompt": "Calculate: (-80 + (-9)) * 2 / (-80) - (-70)", "solution_steps": ["Add: -80 + (-9) = -89", "Multiply: -89 * 2 = -178", "Divide: -178 / (-80) = 89/40", "Subtract: 89/40 - (-70) = 2889/40"], "final_answer": "2889/40", "answer_type": "rational", "kind": "expression", "math_text": "(-80 + (-9)) * 2 / (-80) - (-70)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -9, \"c\": 2, \"d\": -80, \"e\": -70}", "seed": "15802184092947215790", "semantic_fingerprint": "sha256:543d3d1f33e8b219ebd796cb6e7b79d9a43149c623d15b69d078c2103f450ee9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005641", "prompt": "Compute: 23 + (3 - 8) * (-65 + (-3))", "solution_steps": ["Subtract: 3 - 8 = -5", "Add: -65 + (-3) = -68", "Multiply: -5 * (-68) = 340", "Add: 23 + 340 = 363"], "final_answer": "363", "answer_type": "integer", "kind": "expression", "math_text": "23 + (3 - 8) * (-65 + (-3))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 3, \"c\": 8, \"d\": -65, \"e\": -3}", "seed": "5713206522769675146", "semantic_fingerprint": "sha256:76c9beed6f40186935cdff07d56b6c66850a190776ac7775b61894ed95cffc2b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005642", "prompt": "Find x: 6x = 3(x + 4) - 30", "solution_steps": ["Expand: 6x = 3x + 12 - 30", "Combine constants: 6x = 3x - 18", "Subtract 3x from both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 3(x + 4) - 30", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 4, \"e\": -30, \"x\": -6}", "seed": "14156075983456093964", "semantic_fingerprint": "sha256:ed96dc754f8c3123a8cc0c7bfc515ba1b0938b4197f799ac9f343abe1ed88a7d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005643", "prompt": "Evaluate: 89 * 132 - (-1 - 72 / (-7))", "solution_steps": ["Multiply: 89 * 132 = 11748", "Divide: 72 / (-7) = -72/7", "Subtract: -1 - (-72/7) = 65/7", "Subtract: 11748 - 65/7 = 82171/7"], "final_answer": "82171/7", "answer_type": "rational", "kind": "expression", "math_text": "89 * 132 - (-1 - 72 / (-7))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 132, \"c\": -1, \"d\": 72, \"e\": -7}", "seed": "7861550721534966971", "semantic_fingerprint": "sha256:a9665d392a492fbe5a263df2e6f259ac4b9a0d12533b9b9c0adc8b69578bb35f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005644", "prompt": "Find x: -3(x - 46) + 498 = 9(x + 56)", "solution_steps": ["Expand: -3x + 138 + 498 = 9(x + 56)", "Expand: -3x + 138 + 498 = 9x + 504", "Combine constants: -3x + 636 = 9x + 504", "Subtract 9x from both sides: -12x + 636 = 504", "Subtract 636 from both sides: -12x = -132", "Divide both sides by -12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 46) + 498 = 9(x + 56)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 46, \"c\": 9, \"d\": 56, \"f\": 498, \"x\": 11}", "seed": "684471548493890871", "semantic_fingerprint": "sha256:933e9a6b53f6a4e31912bdeaf23f3a58461a5598af0b0fe217eec6fe030a3f7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005645", "prompt": "Solve for x: 2(x - 368) - 1 = x + 21", "solution_steps": ["Expand: 2x - 736 - 1 = x + 21", "Combine constants: 2x - 737 = x + 21", "Subtract x from both sides: x - 737 = 21", "Add 737 to both sides: x = 758"], "final_answer": "758", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 368) - 1 = x + 21", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 368, \"c\": 1, \"d\": 21}", "seed": "4635770150351016654", "semantic_fingerprint": "sha256:466e10060be4ba9631722dc1d2fe8a621a1af3d595abf50e3c594964977a5983", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005646", "prompt": "Solve the equation -9(x + 1) - 17 = x + 956 for x.", "solution_steps": ["Expand: -9x - 9 - 17 = x + 956", "Combine constants: -9x - 26 = x + 956", "Subtract x from both sides: -10x - 26 = 956", "Add 26 to both sides: -10x = 982", "Divide both sides by -10: x = -491/5"], "final_answer": "-491/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 1) - 17 = x + 956", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": 17, \"d\": 956}", "seed": "142480343094095811", "semantic_fingerprint": "sha256:fe6ada0910345e407495b1ac07a17cfcf75456e7a1b38b49896e13efd93ad35f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005647", "prompt": "Calculate: 847 - (-98) - (-956 - 74 * 0)", "solution_steps": ["Subtract: 847 - (-98) = 945", "Multiply: 74 * 0 = 0", "Subtract: -956 - 0 = -956", "Subtract: 945 - (-956) = 1901"], "final_answer": "1901", "answer_type": "integer", "kind": "expression", "math_text": "847 - (-98) - (-956 - 74 * 0)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 847, \"b\": -98, \"c\": -956, \"d\": 74, \"e\": 0}", "seed": "3502513432678843710", "semantic_fingerprint": "sha256:07cd73fb19d70228aff0a4611aec318f3d7a014bee12b3da7583b8ddd01a9b94", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005648", "prompt": "Evaluate: 4 * (-5) * (8 / 8)", "solution_steps": ["Multiply: 4 * (-5) = -20", "Divide: 8 / 8 = 1", "Multiply: -20 * 1 = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-5) * (8 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -5, \"c\": 8, \"d\": 8}", "seed": "13785731757248517230", "semantic_fingerprint": "sha256:cf60b9f8b735d6e19cad32bb93293b68f1a5ab3d3a998a7d06ec468474197bd5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005649", "prompt": "Solve for x: 4x - 17 = 2x - 31", "solution_steps": ["Subtract 2x from both sides: 2x - 17 = -31", "Add 17 to both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 17 = 2x - 31", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 17, \"c\": 2, \"e\": -31, \"x\": -7}", "seed": "13340698199430094539", "semantic_fingerprint": "sha256:c67d680674ee41448c9fa5e7c02276b4aeb2a90115c2cb1c99410e69b18ed345", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005650", "prompt": "Evaluate: (9 + 0) / (-9 + 95)", "solution_steps": ["Add: 9 + 0 = 9", "Add: -9 + 95 = 86", "Divide: 9 / 86 = 9/86"], "final_answer": "9/86", "answer_type": "rational", "kind": "expression", "math_text": "(9 + 0) / (-9 + 95)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": -9, \"d\": 95}", "seed": "4280319905008040329", "semantic_fingerprint": "sha256:d581a83d8f976318c4c19d32f09bb64a7463a9b2221a9c09e19e1f9415e07c55", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005651", "prompt": "Compute: (123 + (-54)) * (388 - (-65)) / (72 * (-1))", "solution_steps": ["Add: 123 + (-54) = 69", "Subtract: 388 - (-65) = 453", "Multiply: 69 * 453 = 31257", "Multiply: 72 * (-1) = -72", "Divide: 31257 / (-72) = -3473/8"], "final_answer": "-3473/8", "answer_type": "rational", "kind": "expression", "math_text": "(123 + (-54)) * (388 - (-65)) / (72 * (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 123, \"b\": -54, \"c\": 388, \"d\": -65, \"e\": 72, \"f\": -1}", "seed": "5208472855146930184", "semantic_fingerprint": "sha256:0939eec9ed237e32054ec8ce1cc218a7291a6dcacef547bb34206fc7696f2125", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005652", "prompt": "Calculate: (-188 + 51) / (876 + (-54))", "solution_steps": ["Add: -188 + 51 = -137", "Add: 876 + (-54) = 822", "Divide: -137 / 822 = -1/6"], "final_answer": "-1/6", "answer_type": "rational", "kind": "expression", "math_text": "(-188 + 51) / (876 + (-54))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -188, \"b\": 51, \"c\": 876, \"d\": -54}", "seed": "2025237934214154362", "semantic_fingerprint": "sha256:81051b3802bec123e05d3a79ecd42885df9baed02295667f30458b6980ac4dc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005653", "prompt": "Solve the equation 12x - 3 = 8x - 19 for x.", "solution_steps": ["Subtract 8x from both sides: 4x - 3 = -19", "Add 3 to both sides: 4x = -16", "Divide both sides by 4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 3 = 8x - 19", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 8, \"e\": -19, \"x\": -4}", "seed": "1280697175005243393", "semantic_fingerprint": "sha256:6c9fc292c53f18ac1031e4425fb13c67e641752c40f4d3f5177d626604b1a599", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005654", "prompt": "What value of x satisfies 11x - 317 = 3(x - 55)?", "solution_steps": ["Expand: 11x - 317 = 3x - 165", "Subtract 3x from both sides: 8x - 317 = -165", "Add 317 to both sides: 8x = 152", "Divide both sides by 8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 317 = 3(x - 55)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 55, \"e\": -317, \"x\": 19}", "seed": "7704632473852614680", "semantic_fingerprint": "sha256:48b99f4dc913ada4483d87e3df6ff8900702b6e47766040c5579eb1fe8967d2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005655", "prompt": "Compute: (-721 + ((5 + (-39)) * (-62) + 94)) * 92", "solution_steps": ["Add: 5 + (-39) = -34", "Multiply: -34 * (-62) = 2108", "Add: 2108 + 94 = 2202", "Add: -721 + 2202 = 1481", "Multiply: 1481 * 92 = 136252"], "final_answer": "136252", "answer_type": "integer", "kind": "expression", "math_text": "(-721 + ((5 + (-39)) * (-62) + 94)) * 92", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ (* (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -721, \"b\": 5, \"c\": -39, \"d\": -62, \"e\": 94, \"f\": 92}", "seed": "12377969143430968566", "semantic_fingerprint": "sha256:c32fe57093d2c2dc4c4cd852f385720e7c33405fc69ad57a9441a67a8d284d95", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005656", "prompt": "Solve for x: 5(x + 145) = -12(x - 481) + 60", "solution_steps": ["Expand: 5x + 725 = -12(x - 481) + 60", "Expand: 5x + 725 = -12x + 5772 + 60", "Combine constants: 5x + 725 = -12x + 5832", "Add 12x to both sides: 17x + 725 = 5832", "Subtract 725 from both sides: 17x = 5107", "Divide both sides by 17: x = 5107/17"], "final_answer": "5107/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 145) = -12(x - 481) + 60", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 145, \"c\": -12, \"d\": 481, \"e\": 60}", "seed": "16974104426251265707", "semantic_fingerprint": "sha256:04870bf43b74283942bd25036b4c48aeea94f959b4a0ec310ff0efe80852542b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005657", "prompt": "Evaluate: -59 + 1 + (0 + (6 + (-75)))", "solution_steps": ["Add: -59 + 1 = -58", "Add: 6 + (-75) = -69", "Add: 0 + (-69) = -69", "Add: -58 + (-69) = -127"], "final_answer": "-127", "answer_type": "integer", "kind": "expression", "math_text": "-59 + 1 + (0 + (6 + (-75)))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 1, \"c\": 0, \"d\": 6, \"e\": -75}", "seed": "13122692683756331398", "semantic_fingerprint": "sha256:a47dbd09b8f1df1f1455a793827f7f564d35b9b5199bc749dc05a2603e922121", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005658", "prompt": "Compute: -8 + (3 - (-4 - (-861))) + (-5)", "solution_steps": ["Subtract: -4 - (-861) = 857", "Subtract: 3 - 857 = -854", "Add: -8 + (-854) = -862", "Add: -862 + (-5) = -867"], "final_answer": "-867", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (3 - (-4 - (-861))) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": -4, \"d\": -861, \"e\": -5}", "seed": "9205925026175970575", "semantic_fingerprint": "sha256:8bd3ddd0b7c47d8792c5329d1880ccd6e9a181fac32962a26f65c585a75e0b76", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005659", "prompt": "Solve for x: -8x - 230 = 3(x - 7)", "solution_steps": ["Expand: -8x - 230 = 3x - 21", "Subtract 3x from both sides: -11x - 230 = -21", "Add 230 to both sides: -11x = 209", "Divide both sides by -11: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 230 = 3(x - 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 7, \"e\": -230, \"x\": -19}", "seed": "18116114416062034971", "semantic_fingerprint": "sha256:455d0753c36940809df664884f24ed29783e890c82e78edeedfdae1851d24cfa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005660", "prompt": "Find x: 4(x + 708) - 54 = x + 26", "solution_steps": ["Expand: 4x + 2832 - 54 = x + 26", "Combine constants: 4x + 2778 = x + 26", "Subtract x from both sides: 3x + 2778 = 26", "Subtract 2778 from both sides: 3x = -2752", "Divide both sides by 3: x = -2752/3"], "final_answer": "-2752/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 708) - 54 = x + 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 708, \"c\": 54, \"d\": 26}", "seed": "8515583526606149523", "semantic_fingerprint": "sha256:a175ee6ffa9cb78c65393e6a69588c4c7ff48c8239962662cf898dd1b5ec2999", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005661", "prompt": "Compute: -4 * 31 * (-5 * (-25 + (-366)))", "solution_steps": ["Multiply: -4 * 31 = -124", "Add: -25 + (-366) = -391", "Multiply: -5 * (-391) = 1955", "Multiply: -124 * 1955 = -242420"], "final_answer": "-242420", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 31 * (-5 * (-25 + (-366)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 31, \"c\": -5, \"d\": -25, \"e\": -366}", "seed": "9625078557913449567", "semantic_fingerprint": "sha256:939d218571f33ac283d3b10de449120fd94449a56a12c121ebd89a0a3732d9c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005662", "prompt": "Calculate: (5 - (9 + 98)) * (-782)", "solution_steps": ["Add: 9 + 98 = 107", "Subtract: 5 - 107 = -102", "Multiply: -102 * (-782) = 79764"], "final_answer": "79764", "answer_type": "integer", "kind": "expression", "math_text": "(5 - (9 + 98)) * (-782)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 98, \"d\": -782}", "seed": "10708858821066879184", "semantic_fingerprint": "sha256:d99a54a7c28df2ca9787635265d84c04cf0f11d38adb8caa4e7a18e38244ec37", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005663", "prompt": "What value of x satisfies -7x = -5(x + 8) + 52?", "solution_steps": ["Expand: -7x = -5x - 40 + 52", "Combine constants: -7x = -5x + 12", "Add 5x to both sides: -2x = 12", "Divide both sides by -2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = -5(x + 8) + 52", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -5, \"c\": 8, \"e\": 52, \"x\": -6}", "seed": "18399548526602466441", "semantic_fingerprint": "sha256:8853294ba534ff1c49ee8bc0cab244f9473ba6f493394b39227516e6bb871093", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005664", "prompt": "What is 213 + (-89) / (519 + (65 - 48))?", "solution_steps": ["Subtract: 65 - 48 = 17", "Add: 519 + 17 = 536", "Divide: -89 / 536 = -89/536", "Add: 213 + (-89/536) = 114079/536"], "final_answer": "114079/536", "answer_type": "rational", "kind": "expression", "math_text": "213 + (-89) / (519 + (65 - 48))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 213, \"b\": -89, \"c\": 519, \"d\": 65, \"e\": 48}", "seed": "7205286820884138052", "semantic_fingerprint": "sha256:bbcc2fa469634122053ce938eb639253645a740bbfdbf97c9a1dcc3215211647", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005665", "prompt": "Calculate: (3 + (-3)) * (-955 / (-98) * 515 + (-31))", "solution_steps": ["Add: 3 + (-3) = 0", "Divide: -955 / (-98) = 955/98", "Multiply: (955/98) * 515 = 491825/98", "Add: 491825/98 + (-31) = 488787/98", "Multiply: 0 * (488787/98) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(3 + (-3)) * (-955 / (-98) * 515 + (-31))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -3, \"c\": -955, \"d\": -98, \"e\": 515, \"f\": -31}", "seed": "12327589377058497574", "semantic_fingerprint": "sha256:34d6ca839c29fef4f0af74983ae212f24b89da12770558b93e84420d7d01cf47", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005666", "prompt": "Compute: (-928 + (-987)) / (16 - 7) - (47 + (-9))", "solution_steps": ["Add: -928 + (-987) = -1915", "Subtract: 16 - 7 = 9", "Divide: -1915 / 9 = -1915/9", "Add: 47 + (-9) = 38", "Subtract: -1915/9 - 38 = -2257/9"], "final_answer": "-2257/9", "answer_type": "rational", "kind": "expression", "math_text": "(-928 + (-987)) / (16 - 7) - (47 + (-9))", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -928, \"b\": -987, \"c\": 16, \"d\": 7, \"e\": 47, \"f\": -9}", "seed": "16343324610764859321", "semantic_fingerprint": "sha256:fffb52687841906facdd1d152f46c7a623621ddf7a605e3cf7b63fde72700981", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005667", "prompt": "What value of x satisfies 8(x + 86) = 6(x - 2) + 700?", "solution_steps": ["Expand: 8x + 688 = 6(x - 2) + 700", "Expand: 8x + 688 = 6x - 12 + 700", "Combine constants: 8x + 688 = 6x + 688", "Subtract 6x from both sides: 2x + 688 = 688", "Subtract 688 from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 86) = 6(x - 2) + 700", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 86, \"c\": 6, \"d\": 2, \"f\": 700, \"x\": 0}", "seed": "17966799222776724174", "semantic_fingerprint": "sha256:52c4e5128f1a45413078a1a4cca351d701051851c58784464899ff7600866cd1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005668", "prompt": "Solve the equation 11(x - 5) - 6 = x + 957 for x.", "solution_steps": ["Expand: 11x - 55 - 6 = x + 957", "Combine constants: 11x - 61 = x + 957", "Subtract x from both sides: 10x - 61 = 957", "Add 61 to both sides: 10x = 1018", "Divide both sides by 10: x = 509/5"], "final_answer": "509/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 5) - 6 = x + 957", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 6, \"d\": 957}", "seed": "7583084445998798653", "semantic_fingerprint": "sha256:2aadc9c9edef36c506af9aa076bc119f25ab2f0fc38db76e87da656f1f831196", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005669", "prompt": "Calculate: -95 * 0 + (-292 - (-971))", "solution_steps": ["Multiply: -95 * 0 = 0", "Subtract: -292 - (-971) = 679", "Add: 0 + 679 = 679"], "final_answer": "679", "answer_type": "integer", "kind": "expression", "math_text": "-95 * 0 + (-292 - (-971))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 0, \"c\": -292, \"d\": -971}", "seed": "9698314836632212462", "semantic_fingerprint": "sha256:271fd1f24f8fe990447b417f6299bce5af73f0309d701b3f888c241c2369be3d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005670", "prompt": "Solve for x: 8x = -8(x + 13) - 88", "solution_steps": ["Expand: 8x = -8x - 104 - 88", "Combine constants: 8x = -8x - 192", "Add 8x to both sides: 16x = -192", "Divide both sides by 16: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -8(x + 13) - 88", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": 13, \"e\": -88, \"x\": -12}", "seed": "11634814245033826157", "semantic_fingerprint": "sha256:71c8b322d6108d2082baed0aa33720e4d0be354aa3024ff22ae660067ec48caa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005671", "prompt": "Calculate: (73 - (0 - (-48)) + (-4)) * (-84)", "solution_steps": ["Subtract: 0 - (-48) = 48", "Subtract: 73 - 48 = 25", "Add: 25 + (-4) = 21", "Multiply: 21 * (-84) = -1764"], "final_answer": "-1764", "answer_type": "integer", "kind": "expression", "math_text": "(73 - (0 - (-48)) + (-4)) * (-84)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 0, \"c\": -48, \"d\": -4, \"e\": -84}", "seed": "1529064824739721619", "semantic_fingerprint": "sha256:9d169a34de957699a7ddc483c35828233f176b72ba46cb9d92d719308184cf4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005672", "prompt": "What is 61 * 197 / 450 + (206 - 9)?", "solution_steps": ["Multiply: 61 * 197 = 12017", "Divide: 12017 / 450 = 12017/450", "Subtract: 206 - 9 = 197", "Add: 12017/450 + 197 = 100667/450"], "final_answer": "100667/450", "answer_type": "rational", "kind": "expression", "math_text": "61 * 197 / 450 + (206 - 9)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 197, \"c\": 450, \"d\": 206, \"e\": 9}", "seed": "3707308021346572285", "semantic_fingerprint": "sha256:10448e1df08a1171b1bdfd6874e6cfca45b302451c671d25673650387b76401f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005673", "prompt": "What is 0 * (-2) - (5 - (-54) / (-881))?", "solution_steps": ["Multiply: 0 * (-2) = 0", "Divide: -54 / (-881) = 54/881", "Subtract: 5 - 54/881 = 4351/881", "Subtract: 0 - 4351/881 = -4351/881"], "final_answer": "-4351/881", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-2) - (5 - (-54) / (-881))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": 5, \"d\": -54, \"e\": -881}", "seed": "11509801484171129544", "semantic_fingerprint": "sha256:c7ffb8df9827b3a6af3310db297ff31998a175d8ed6276dc7c660c75585cd61b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005674", "prompt": "Calculate: -87 - 987 / (-761 / 9 - (-285) / (-1))", "solution_steps": ["Divide: -761 / 9 = -761/9", "Divide: -285 / (-1) = 285", "Subtract: -761/9 - 285 = -3326/9", "Divide: 987 / (-3326/9) = -8883/3326", "Subtract: -87 - (-8883/3326) = -280479/3326"], "final_answer": "-280479/3326", "answer_type": "rational", "kind": "expression", "math_text": "-87 - 987 / (-761 / 9 - (-285) / (-1))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (- (/ n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 987, \"c\": -761, \"d\": 9, \"e\": -285, \"f\": -1}", "seed": "13483269797173473900", "semantic_fingerprint": "sha256:f8a7d82c501550bb959f2dfa62cf434be82481ee11965bdcc721fe00b1f8626d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005675", "prompt": "What value of x satisfies 10x - 9 = 4(x - 1)?", "solution_steps": ["Expand: 10x - 9 = 4x - 4", "Subtract 4x from both sides: 6x - 9 = -4", "Add 9 to both sides: 6x = 5", "Divide both sides by 6: x = 5/6"], "final_answer": "5/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 9 = 4(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 4, \"d\": 1}", "seed": "7748749356303045448", "semantic_fingerprint": "sha256:0b5a03b964ab75b7f584981df09ce38555c09a5345cfaa80f64fdfd1be2d02c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005676", "prompt": "Evaluate: 82 / (-37 / 2) + (-251)", "solution_steps": ["Divide: -37 / 2 = -37/2", "Divide: 82 / (-37/2) = -164/37", "Add: -164/37 + (-251) = -9451/37"], "final_answer": "-9451/37", "answer_type": "rational", "kind": "expression", "math_text": "82 / (-37 / 2) + (-251)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -37, \"c\": 2, \"d\": -251}", "seed": "14568925867964828296", "semantic_fingerprint": "sha256:b4c69f3259164f4355ee4e0ec352fc0c7a3a6dec109d992df606b3ce59f69433", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005677", "prompt": "What value of x satisfies 8(x - 463) + 882 = -2(x + 66)?", "solution_steps": ["Expand: 8x - 3704 + 882 = -2(x + 66)", "Expand: 8x - 3704 + 882 = -2x - 132", "Combine constants: 8x - 2822 = -2x - 132", "Add 2x to both sides: 10x - 2822 = -132", "Add 2822 to both sides: 10x = 2690", "Divide both sides by 10: x = 269"], "final_answer": "269", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 463) + 882 = -2(x + 66)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 463, \"c\": 882, \"d\": -2, \"e\": 66}", "seed": "4302666683945090763", "semantic_fingerprint": "sha256:6ab4b29203739da2a564a99780deef94dab245884a5cf39693c481d209ca7778", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005678", "prompt": "What is 58 * (-14 * (-96)) / (-564) - 31 * (-38)?", "solution_steps": ["Multiply: -14 * (-96) = 1344", "Multiply: 58 * 1344 = 77952", "Divide: 77952 / (-564) = -6496/47", "Multiply: 31 * (-38) = -1178", "Subtract: -6496/47 - (-1178) = 48870/47"], "final_answer": "48870/47", "answer_type": "rational", "kind": "expression", "math_text": "58 * (-14 * (-96)) / (-564) - 31 * (-38)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n (* n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -14, \"c\": -96, \"d\": -564, \"e\": 31, \"f\": -38}", "seed": "17444148573903995454", "semantic_fingerprint": "sha256:ba60ea7ca62a0a195c5bd24500f31f24146e2b2cda55ee442b3ac9706ed7e0f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005679", "prompt": "Find x: 2(x - 96) + 919 = 11(x + 53)", "solution_steps": ["Expand: 2x - 192 + 919 = 11(x + 53)", "Expand: 2x - 192 + 919 = 11x + 583", "Combine constants: 2x + 727 = 11x + 583", "Subtract 11x from both sides: -9x + 727 = 583", "Subtract 727 from both sides: -9x = -144", "Divide both sides by -9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 96) + 919 = 11(x + 53)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 96, \"c\": 11, \"d\": 53, \"f\": 919, \"x\": 16}", "seed": "14047222242943415541", "semantic_fingerprint": "sha256:895bdc43a823ddfa513bf1125b3ad51087f5aa30b48727e909994111c5d1fd3b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005680", "prompt": "Compute: (65 - (-79) - 98) * 6", "solution_steps": ["Subtract: 65 - (-79) = 144", "Subtract: 144 - 98 = 46", "Multiply: 46 * 6 = 276"], "final_answer": "276", "answer_type": "integer", "kind": "expression", "math_text": "(65 - (-79) - 98) * 6", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -79, \"c\": 98, \"d\": 6}", "seed": "15121544620840268484", "semantic_fingerprint": "sha256:69d3a160a2bc324e3550ee9a1f1ccefd9ef792454b1c70cf3062b34adc37fc60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005681", "prompt": "Compute: (-280 + (-52)) / (-4 - (-21) + 86)", "solution_steps": ["Add: -280 + (-52) = -332", "Subtract: -4 - (-21) = 17", "Add: 17 + 86 = 103", "Divide: -332 / 103 = -332/103"], "final_answer": "-332/103", "answer_type": "rational", "kind": "expression", "math_text": "(-280 + (-52)) / (-4 - (-21) + 86)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -280, \"b\": -52, \"c\": -4, \"d\": -21, \"e\": 86}", "seed": "11291577274455352135", "semantic_fingerprint": "sha256:ce6ec5dc3e7c4a4afb1aab24302f6dd0243910c1a2d5a9b76a5c9dd1465078c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005682", "prompt": "Calculate: -92 / (-9 * (-2 + (-45)))", "solution_steps": ["Add: -2 + (-45) = -47", "Multiply: -9 * (-47) = 423", "Divide: -92 / 423 = -92/423"], "final_answer": "-92/423", "answer_type": "rational", "kind": "expression", "math_text": "-92 / (-9 * (-2 + (-45)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -9, \"c\": -2, \"d\": -45}", "seed": "9752794361470484773", "semantic_fingerprint": "sha256:b2488b2bdd89b9702205b2b81be6bb036d1b5c3020a592c6efe4aae7313c3488", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005683", "prompt": "Evaluate: -69 / 409 * (8 / 23)", "solution_steps": ["Divide: -69 / 409 = -69/409", "Divide: 8 / 23 = 8/23", "Multiply: (-69/409) * (8/23) = -24/409"], "final_answer": "-24/409", "answer_type": "rational", "kind": "expression", "math_text": "-69 / 409 * (8 / 23)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 409, \"c\": 8, \"d\": 23}", "seed": "7408045009349226824", "semantic_fingerprint": "sha256:bdb025ca135b5e7f993b6f824a6efe5eed67b0be6293883e7dd05b12a5fb584e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005684", "prompt": "Calculate: (5 - 339 + (-379 - 4)) * 62", "solution_steps": ["Subtract: 5 - 339 = -334", "Subtract: -379 - 4 = -383", "Add: -334 + (-383) = -717", "Multiply: -717 * 62 = -44454"], "final_answer": "-44454", "answer_type": "integer", "kind": "expression", "math_text": "(5 - 339 + (-379 - 4)) * 62", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 339, \"c\": -379, \"d\": 4, \"e\": 62}", "seed": "11194999132298093038", "semantic_fingerprint": "sha256:9a65c03d9a5651c3b223e4b078540728f4a5b3431bce95b4b30b8926c86690d7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005685", "prompt": "What value of x satisfies 2x = -11(x + 28) + 464?", "solution_steps": ["Expand: 2x = -11x - 308 + 464", "Combine constants: 2x = -11x + 156", "Add 11x to both sides: 13x = 156", "Divide both sides by 13: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -11(x + 28) + 464", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -11, \"c\": 28, \"e\": 464, \"x\": 12}", "seed": "13924729524236947298", "semantic_fingerprint": "sha256:b2ad78acdcc487ba95b43c7a186f51071db242b2c5e82d2ffa54c5554b0f692a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005686", "prompt": "Evaluate: 70 * 4 + 171 * (-80)", "solution_steps": ["Multiply: 70 * 4 = 280", "Multiply: 171 * (-80) = -13680", "Add: 280 + (-13680) = -13400"], "final_answer": "-13400", "answer_type": "integer", "kind": "expression", "math_text": "70 * 4 + 171 * (-80)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 4, \"c\": 171, \"d\": -80}", "seed": "1420597571398296865", "semantic_fingerprint": "sha256:146eaf82d10bdbd3074c5d3b23a031764d2bfecc0208d03f19e4ab92e81d50dd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005687", "prompt": "Find x: 2x - 486 = -9x - 684", "solution_steps": ["Add 9x to both sides: 11x - 486 = -684", "Add 486 to both sides: 11x = -198", "Divide both sides by 11: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 486 = -9x - 684", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 486, \"c\": -9, \"e\": -684, \"x\": -18}", "seed": "14844452821179857803", "semantic_fingerprint": "sha256:7ddf34984ea59a36e08a9a37bd48b0e0d9fab03bde3f4cf5c79003e74cd2ebb6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005688", "prompt": "Evaluate: (-488 + 7) / (-3) + 5", "solution_steps": ["Add: -488 + 7 = -481", "Divide: -481 / (-3) = 481/3", "Add: 481/3 + 5 = 496/3"], "final_answer": "496/3", "answer_type": "rational", "kind": "expression", "math_text": "(-488 + 7) / (-3) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -488, \"b\": 7, \"c\": -3, \"d\": 5}", "seed": "11320643907626447442", "semantic_fingerprint": "sha256:236b54c85f1ee0228f575e7f84714ff7536abdba5f8cf271f87dd5df6b273589", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005689", "prompt": "Evaluate: -13 / 4 / 7 - (-11)", "solution_steps": ["Divide: -13 / 4 = -13/4", "Divide: (-13/4) / 7 = -13/28", "Subtract: -13/28 - (-11) = 295/28"], "final_answer": "295/28", "answer_type": "rational", "kind": "expression", "math_text": "-13 / 4 / 7 - (-11)", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 4, \"c\": 7, \"d\": -11}", "seed": "16284686256278066252", "semantic_fingerprint": "sha256:5a6d6461bfdc41f47d0b2f25540da4638d5d9ea110ec9f84d40457f11797707a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005690", "prompt": "Calculate: 2 / (-77) * (855 + 853 + (-90))", "solution_steps": ["Divide: 2 / (-77) = -2/77", "Add: 855 + 853 = 1708", "Add: 1708 + (-90) = 1618", "Multiply: (-2/77) * 1618 = -3236/77"], "final_answer": "-3236/77", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-77) * (855 + 853 + (-90))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -77, \"c\": 855, \"d\": 853, \"e\": -90}", "seed": "2760206082869871987", "semantic_fingerprint": "sha256:0b1698081a7654390b21c03ec4de4d7993d47eed0f527e360a48720d0cfdd0a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005691", "prompt": "Solve for x: 9x - 1 = -12(x - 17)", "solution_steps": ["Expand: 9x - 1 = -12x + 204", "Add 12x to both sides: 21x - 1 = 204", "Add 1 to both sides: 21x = 205", "Divide both sides by 21: x = 205/21"], "final_answer": "205/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 1 = -12(x - 17)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": -12, \"d\": 17}", "seed": "10996378632788615906", "semantic_fingerprint": "sha256:339e7730821b584bac5a5ac0e7c0d958bdb32edae5340512c88a3bd5b39a97ec", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005692", "prompt": "What is -66 * (-908) + (-2 - 38)?", "solution_steps": ["Multiply: -66 * (-908) = 59928", "Subtract: -2 - 38 = -40", "Add: 59928 + (-40) = 59888"], "final_answer": "59888", "answer_type": "integer", "kind": "expression", "math_text": "-66 * (-908) + (-2 - 38)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -908, \"c\": -2, \"d\": 38}", "seed": "11276065847312260059", "semantic_fingerprint": "sha256:1b1cff89ac42c8c58aeb55e4dff7731e6ea5e8bbfbb4f962cfb215f3264c7ec5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005693", "prompt": "Calculate: -227 * (-45) - (-539 - (-864) / 3)", "solution_steps": ["Multiply: -227 * (-45) = 10215", "Divide: -864 / 3 = -288", "Subtract: -539 - (-288) = -251", "Subtract: 10215 - (-251) = 10466"], "final_answer": "10466", "answer_type": "integer", "kind": "expression", "math_text": "-227 * (-45) - (-539 - (-864) / 3)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -227, \"b\": -45, \"c\": -539, \"d\": -864, \"e\": 3}", "seed": "999394287286098665", "semantic_fingerprint": "sha256:65097d4ee12430ea20216648853a28264cd34431c01f2a95999167ed7bcf0afc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005694", "prompt": "What is (-86 - (-69) * 92) / 87?", "solution_steps": ["Multiply: -69 * 92 = -6348", "Subtract: -86 - (-6348) = 6262", "Divide: 6262 / 87 = 6262/87"], "final_answer": "6262/87", "answer_type": "rational", "kind": "expression", "math_text": "(-86 - (-69) * 92) / 87", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -69, \"c\": 92, \"d\": 87}", "seed": "10868526105917972471", "semantic_fingerprint": "sha256:5cc96e49d13ae21278a8b3e4885a088ff04c1b31eb3e558d9679b41ea92b8055", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005695", "prompt": "Evaluate: -25 * 56 + 701 + 93", "solution_steps": ["Multiply: -25 * 56 = -1400", "Add: -1400 + 701 = -699", "Add: -699 + 93 = -606"], "final_answer": "-606", "answer_type": "integer", "kind": "expression", "math_text": "-25 * 56 + 701 + 93", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 56, \"c\": 701, \"d\": 93}", "seed": "12935921283672379378", "semantic_fingerprint": "sha256:704dcd071c5092ce75813dec42d05884a03c6e3cdf2805d906078244477fd026", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005696", "prompt": "Find x: 10x - 68 = 6(x - 6)", "solution_steps": ["Expand: 10x - 68 = 6x - 36", "Subtract 6x from both sides: 4x - 68 = -36", "Add 68 to both sides: 4x = 32", "Divide both sides by 4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 68 = 6(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 6, \"e\": -68, \"x\": 8}", "seed": "10599906391723356723", "semantic_fingerprint": "sha256:21c21aad01b815d366643f151c62e523d7cb933940734246d8f1301bf1cb9712", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005697", "prompt": "Calculate: -823 - 709 * (432 / (-64))", "solution_steps": ["Divide: 432 / (-64) = -27/4", "Multiply: 709 * (-27/4) = -19143/4", "Subtract: -823 - (-19143/4) = 15851/4"], "final_answer": "15851/4", "answer_type": "rational", "kind": "expression", "math_text": "-823 - 709 * (432 / (-64))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -823, \"b\": 709, \"c\": 432, \"d\": -64}", "seed": "15748693984761836697", "semantic_fingerprint": "sha256:c9c068fba0627273edbf6e5e94f6a55192a73be40cd92a87f197ed1a6da3fced", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005698", "prompt": "Compute: -98 + (-8 + (6 - (-275))) + 73", "solution_steps": ["Subtract: 6 - (-275) = 281", "Add: -8 + 281 = 273", "Add: -98 + 273 = 175", "Add: 175 + 73 = 248"], "final_answer": "248", "answer_type": "integer", "kind": "expression", "math_text": "-98 + (-8 + (6 - (-275))) + 73", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -8, \"c\": 6, \"d\": -275, \"e\": 73}", "seed": "16965810378001780029", "semantic_fingerprint": "sha256:0e84c14cabb28d128bff02abe8e2a0481a457440790eb092a4f9955b6fe450a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005699", "prompt": "Solve the equation -4(x + 56) = 9(x - 80) + 678 for x.", "solution_steps": ["Expand: -4x - 224 = 9(x - 80) + 678", "Expand: -4x - 224 = 9x - 720 + 678", "Combine constants: -4x - 224 = 9x - 42", "Subtract 9x from both sides: -13x - 224 = -42", "Add 224 to both sides: -13x = 182", "Divide both sides by -13: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 56) = 9(x - 80) + 678", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 56, \"c\": 9, \"d\": 80, \"f\": 678, \"x\": -14}", "seed": "18367295459302440735", "semantic_fingerprint": "sha256:9dd3d0b2a5a1a16eb3c81f0405f08972d007c5f8a4416744d2b397b8e50f3108", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005700", "prompt": "Find x: 7x - 8 = -6x - 177", "solution_steps": ["Add 6x to both sides: 13x - 8 = -177", "Add 8 to both sides: 13x = -169", "Divide both sides by 13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 8 = -6x - 177", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": -6, \"e\": -177, \"x\": -13}", "seed": "7280864543154374792", "semantic_fingerprint": "sha256:f2b03f4ca95bc40e03dd463ab5e62d8dceb6c470683a8b8bd20ec1ab76b2e90c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005701", "prompt": "Solve the equation 11(x + 8) + 3 = x + 121 for x.", "solution_steps": ["Expand: 11x + 88 + 3 = x + 121", "Combine constants: 11x + 91 = x + 121", "Subtract x from both sides: 10x + 91 = 121", "Subtract 91 from both sides: 10x = 30", "Divide both sides by 10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 8) + 3 = x + 121", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 3, \"e\": 121, \"x\": 3}", "seed": "2971443187488154079", "semantic_fingerprint": "sha256:298c528b3dd797ccb037afaeef4b4a7506944842bf954375cfa3dd240bd9c61b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005702", "prompt": "What is -1 * 35 * (0 - 56 + 4) / (-32)?", "solution_steps": ["Multiply: -1 * 35 = -35", "Subtract: 0 - 56 = -56", "Add: -56 + 4 = -52", "Multiply: -35 * (-52) = 1820", "Divide: 1820 / (-32) = -455/8"], "final_answer": "-455/8", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 35 * (0 - 56 + 4) / (-32)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 35, \"c\": 0, \"d\": 56, \"e\": 4, \"f\": -32}", "seed": "17114293655873177553", "semantic_fingerprint": "sha256:8fe96f9a8c5cd763212012da326c9759d5f8715be1b56215ef3ccb81c5cbade0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005703", "prompt": "Solve for x: 5x = 2(x + 93) - 94", "solution_steps": ["Expand: 5x = 2x + 186 - 94", "Combine constants: 5x = 2x + 92", "Subtract 2x from both sides: 3x = 92", "Divide both sides by 3: x = 92/3"], "final_answer": "92/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 2(x + 93) - 94", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 93, \"d\": 94}", "seed": "13639717981798775019", "semantic_fingerprint": "sha256:90fb0158d16d9005b35f282f3b7c9aaaf6b64a1e98e59fc87089fa0ab1c2de93", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005704", "prompt": "What is 40 * ((53 + (-9)) / (-2 - (-27) - 55))?", "solution_steps": ["Add: 53 + (-9) = 44", "Subtract: -2 - (-27) = 25", "Subtract: 25 - 55 = -30", "Divide: 44 / (-30) = -22/15", "Multiply: 40 * (-22/15) = -176/3"], "final_answer": "-176/3", "answer_type": "rational", "kind": "expression", "math_text": "40 * ((53 + (-9)) / (-2 - (-27) - 55))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ n n) (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 53, \"c\": -9, \"d\": -2, \"e\": -27, \"f\": 55}", "seed": "13866527629021550524", "semantic_fingerprint": "sha256:97b599aa31a381feda5b9020c4a11fa9cab971e4c4edccb4caa3a3e3ea63553c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005705", "prompt": "Calculate: 9 + (-399) - (50 + 957 / 40)", "solution_steps": ["Add: 9 + (-399) = -390", "Divide: 957 / 40 = 957/40", "Add: 50 + 957/40 = 2957/40", "Subtract: -390 - 2957/40 = -18557/40"], "final_answer": "-18557/40", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-399) - (50 + 957 / 40)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -399, \"c\": 50, \"d\": 957, \"e\": 40}", "seed": "9044514779749680826", "semantic_fingerprint": "sha256:c6926a3e6f2b00adcbc7b3e2950d17b121b0ea1a93c4ca7d0536a3fb50f5d4a5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005706", "prompt": "Compute: -63 + (-8) + (649 - 276) / (-6)", "solution_steps": ["Add: -63 + (-8) = -71", "Subtract: 649 - 276 = 373", "Divide: 373 / (-6) = -373/6", "Add: -71 + (-373/6) = -799/6"], "final_answer": "-799/6", "answer_type": "rational", "kind": "expression", "math_text": "-63 + (-8) + (649 - 276) / (-6)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -8, \"c\": 649, \"d\": 276, \"e\": -6}", "seed": "1543856916926008379", "semantic_fingerprint": "sha256:4b7d0a65ffb030b4165d9601e3e1aeb11e042d23fe120985e9c8d097a099b222", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005707", "prompt": "What is -6 / (-4) / 61 - 0?", "solution_steps": ["Divide: -6 / (-4) = 3/2", "Divide: (3/2) / 61 = 3/122", "Subtract: 3/122 - 0 = 3/122"], "final_answer": "3/122", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-4) / 61 - 0", "variable": null, "family": "expression_3op", "shape": "(- (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -4, \"c\": 61, \"d\": 0}", "seed": "1550417902605472971", "semantic_fingerprint": "sha256:7152cb5566e72b832733e6bc77fd3ef026666a7190831bf3a1cd38d61c25548b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005708", "prompt": "Solve the equation 9x - 6 = 2(x - 59) for x.", "solution_steps": ["Expand: 9x - 6 = 2x - 118", "Subtract 2x from both sides: 7x - 6 = -118", "Add 6 to both sides: 7x = -112", "Divide both sides by 7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 6 = 2(x - 59)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 2, \"d\": 59}", "seed": "16659717837568730044", "semantic_fingerprint": "sha256:3aaacaac7fd746330c216e2f7c52f2716e2076387289f2f08540f6011aad6001", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005709", "prompt": "Calculate: 967 * (-201) + (-37) + 70 / 2", "solution_steps": ["Multiply: 967 * (-201) = -194367", "Add: -194367 + (-37) = -194404", "Divide: 70 / 2 = 35", "Add: -194404 + 35 = -194369"], "final_answer": "-194369", "answer_type": "integer", "kind": "expression", "math_text": "967 * (-201) + (-37) + 70 / 2", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 967, \"b\": -201, \"c\": -37, \"d\": 70, \"e\": 2}", "seed": "2427743619722671388", "semantic_fingerprint": "sha256:17f555cbb3b692076c53c4f9e4df0eacfe03e11f52271bf58d46b2b7bb721be8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005710", "prompt": "What is 7 * (53 / 75) * (-42 - 568)?", "solution_steps": ["Divide: 53 / 75 = 53/75", "Multiply: 7 * (53/75) = 371/75", "Subtract: -42 - 568 = -610", "Multiply: (371/75) * (-610) = -45262/15"], "final_answer": "-45262/15", "answer_type": "rational", "kind": "expression", "math_text": "7 * (53 / 75) * (-42 - 568)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 53, \"c\": 75, \"d\": -42, \"e\": 568}", "seed": "11659792804980419318", "semantic_fingerprint": "sha256:7ed74d81ae0e2cc1de0d5a149f6a2790532305fe81c524eadd996b5408401060", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005711", "prompt": "Compute: (1 + 3 * (-663) - 74) / (55 - 353)", "solution_steps": ["Multiply: 3 * (-663) = -1989", "Add: 1 + (-1989) = -1988", "Subtract: -1988 - 74 = -2062", "Subtract: 55 - 353 = -298", "Divide: -2062 / (-298) = 1031/149"], "final_answer": "1031/149", "answer_type": "rational", "kind": "expression", "math_text": "(1 + 3 * (-663) - 74) / (55 - 353)", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n (* n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 3, \"c\": -663, \"d\": 74, \"e\": 55, \"f\": 353}", "seed": "11664185752841137131", "semantic_fingerprint": "sha256:e4f09372e899067466b2e5deeb67b1d1ca41b06ccd3ac1fdb37eee2c8fa03f8a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005712", "prompt": "What is 51 / (840 / (8 + 0 * 753)) * (-904)?", "solution_steps": ["Multiply: 0 * 753 = 0", "Add: 8 + 0 = 8", "Divide: 840 / 8 = 105", "Divide: 51 / 105 = 17/35", "Multiply: (17/35) * (-904) = -15368/35"], "final_answer": "-15368/35", "answer_type": "rational", "kind": "expression", "math_text": "51 / (840 / (8 + 0 * 753)) * (-904)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (/ n (+ n (* n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 840, \"c\": 8, \"d\": 0, \"e\": 753, \"f\": -904}", "seed": "13240943178902988030", "semantic_fingerprint": "sha256:8a36f0cf841cd0e5d156813d0c7a9c183c4eaa2daf73cfabbb03009c41511b97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005713", "prompt": "Solve for x: 9(x - 7) - 73 = x + 834", "solution_steps": ["Expand: 9x - 63 - 73 = x + 834", "Combine constants: 9x - 136 = x + 834", "Subtract x from both sides: 8x - 136 = 834", "Add 136 to both sides: 8x = 970", "Divide both sides by 8: x = 485/4"], "final_answer": "485/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 7) - 73 = x + 834", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 73, \"d\": 834}", "seed": "8700176538668724068", "semantic_fingerprint": "sha256:14457a3f137a84ef88ef20e490f75b6f5f7e99a9bddbfa04adf31cfcc307b9ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005714", "prompt": "What value of x satisfies -8x = 2(x + 61) + 45?", "solution_steps": ["Expand: -8x = 2x + 122 + 45", "Combine constants: -8x = 2x + 167", "Subtract 2x from both sides: -10x = 167", "Divide both sides by -10: x = -167/10"], "final_answer": "-167/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = 2(x + 61) + 45", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"c\": 61, \"d\": 45}", "seed": "16421772984587843972", "semantic_fingerprint": "sha256:bedd8f76dd2f424e86fea850d9e603288a44b0554ceea1a9bcd645340c036d65", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005715", "prompt": "Find x: -5(x - 89) - 22 = x + 465", "solution_steps": ["Expand: -5x + 445 - 22 = x + 465", "Combine constants: -5x + 423 = x + 465", "Subtract x from both sides: -6x + 423 = 465", "Subtract 423 from both sides: -6x = 42", "Divide both sides by -6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 89) - 22 = x + 465", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 89, \"c\": 22, \"e\": 465, \"x\": -7}", "seed": "11136727356514112277", "semantic_fingerprint": "sha256:a607551eaac882408d89d3b09d3ffbd1c73c5f26c9c525ec85216cf7a81280c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005716", "prompt": "Evaluate: (82 - 4) * (0 + (-2 - 4))", "solution_steps": ["Subtract: 82 - 4 = 78", "Subtract: -2 - 4 = -6", "Add: 0 + (-6) = -6", "Multiply: 78 * (-6) = -468"], "final_answer": "-468", "answer_type": "integer", "kind": "expression", "math_text": "(82 - 4) * (0 + (-2 - 4))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 4, \"c\": 0, \"d\": -2, \"e\": 4}", "seed": "7019917176594749510", "semantic_fingerprint": "sha256:02ebc6c3c3135caa40f33ac4a1a28276bd9981e7b2219516fdc170f98765864d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005717", "prompt": "Solve for x: 8x - 48 = 3x - 38", "solution_steps": ["Subtract 3x from both sides: 5x - 48 = -38", "Add 48 to both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 48 = 3x - 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 48, \"c\": 3, \"e\": -38, \"x\": 2}", "seed": "9700342780276070380", "semantic_fingerprint": "sha256:222e8823fb0bf97ed317ba1c8c8835f5545bcbed9c28af7d9375f61edec193b0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005718", "prompt": "Solve for x: 7x - 4 = 2x - 650", "solution_steps": ["Subtract 2x from both sides: 5x - 4 = -650", "Add 4 to both sides: 5x = -646", "Divide both sides by 5: x = -646/5"], "final_answer": "-646/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 4 = 2x - 650", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 2, \"d\": 650}", "seed": "4132209460351944273", "semantic_fingerprint": "sha256:ab331574f92eece0622352214284f3b3c45039e359f1289dea15010ab2847a6b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005719", "prompt": "Calculate: -2 * (-7) + 1 * 448", "solution_steps": ["Multiply: -2 * (-7) = 14", "Multiply: 1 * 448 = 448", "Add: 14 + 448 = 462"], "final_answer": "462", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-7) + 1 * 448", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -7, \"c\": 1, \"d\": 448}", "seed": "13024685576977814812", "semantic_fingerprint": "sha256:a895581856126ed7cecd70133aaf425a328ab4a70bdce2a68bfb2a314025fb88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005720", "prompt": "What is -6 / (-45 / (-802)) + 80?", "solution_steps": ["Divide: -45 / (-802) = 45/802", "Divide: -6 / (45/802) = -1604/15", "Add: -1604/15 + 80 = -404/15"], "final_answer": "-404/15", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-45 / (-802)) + 80", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -45, \"c\": -802, \"d\": 80}", "seed": "14228700070425760594", "semantic_fingerprint": "sha256:4958c0013045f66a25d898a76950be615c88497b04e8386ce4f977ad57070737", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005721", "prompt": "Calculate: -5 + 34 - (386 + (-90) / 6)", "solution_steps": ["Add: -5 + 34 = 29", "Divide: -90 / 6 = -15", "Add: 386 + (-15) = 371", "Subtract: 29 - 371 = -342"], "final_answer": "-342", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 34 - (386 + (-90) / 6)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 34, \"c\": 386, \"d\": -90, \"e\": 6}", "seed": "1988007510752123199", "semantic_fingerprint": "sha256:26e5a656ee1227e9fb879b6ea5f818be063dd07b17107f2ad25e1938c61d6318", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005722", "prompt": "What is -55 * (-85) * (622 / 34)?", "solution_steps": ["Multiply: -55 * (-85) = 4675", "Divide: 622 / 34 = 311/17", "Multiply: 4675 * (311/17) = 85525"], "final_answer": "85525", "answer_type": "integer", "kind": "expression", "math_text": "-55 * (-85) * (622 / 34)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -85, \"c\": 622, \"d\": 34}", "seed": "6477863580380324389", "semantic_fingerprint": "sha256:dfd0b7a0e08c04b6e0d62f141c66cea0814de0b5944525b5a6bbb89e07c03a89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005723", "prompt": "Calculate: 860 / 53 / 80 + (-463 + (928 + 2))", "solution_steps": ["Divide: 860 / 53 = 860/53", "Divide: (860/53) / 80 = 43/212", "Add: 928 + 2 = 930", "Add: -463 + 930 = 467", "Add: 43/212 + 467 = 99047/212"], "final_answer": "99047/212", "answer_type": "rational", "kind": "expression", "math_text": "860 / 53 / 80 + (-463 + (928 + 2))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 860, \"b\": 53, \"c\": 80, \"d\": -463, \"e\": 928, \"f\": 2}", "seed": "7636953636053115323", "semantic_fingerprint": "sha256:dc572002376605b0e4c8ea69a7e130e67ed6c1d74f938ab7c63dd168a8f0a82a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005724", "prompt": "Calculate: 8 * (-6) / (97 + 8) * 45 - (-21)", "solution_steps": ["Multiply: 8 * (-6) = -48", "Add: 97 + 8 = 105", "Divide: -48 / 105 = -16/35", "Multiply: (-16/35) * 45 = -144/7", "Subtract: -144/7 - (-21) = 3/7"], "final_answer": "3/7", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-6) / (97 + 8) * 45 - (-21)", "variable": null, "family": "expression_5op", "shape": "(- (* (/ (* n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6, \"c\": 97, \"d\": 8, \"e\": 45, \"f\": -21}", "seed": "11312426318473638895", "semantic_fingerprint": "sha256:bdd8c050e568ec4dca175bbf7fbab353a4c9680847942533b594138add55b9fb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005725", "prompt": "Find x: -10x = 11(x + 1) - 200", "solution_steps": ["Expand: -10x = 11x + 11 - 200", "Combine constants: -10x = 11x - 189", "Subtract 11x from both sides: -21x = -189", "Divide both sides by -21: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 11(x + 1) - 200", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 11, \"c\": 1, \"e\": -200, \"x\": 9}", "seed": "8745116645758031113", "semantic_fingerprint": "sha256:d3f13b48db5ac6eaf33d88260d2f0dedf2bc5d743b649caf0b24c1841999a7f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005726", "prompt": "Evaluate: -533 * (-9) + 594 * (-5)", "solution_steps": ["Multiply: -533 * (-9) = 4797", "Multiply: 594 * (-5) = -2970", "Add: 4797 + (-2970) = 1827"], "final_answer": "1827", "answer_type": "integer", "kind": "expression", "math_text": "-533 * (-9) + 594 * (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -533, \"b\": -9, \"c\": 594, \"d\": -5}", "seed": "15320274829560220848", "semantic_fingerprint": "sha256:3ebf541a50c8d4463939629c31b8050a754900fcd7accdc9281a9548d2f4ec7a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005727", "prompt": "Find x: 6(x - 22) + 366 = 4(x + 63)", "solution_steps": ["Expand: 6x - 132 + 366 = 4(x + 63)", "Expand: 6x - 132 + 366 = 4x + 252", "Combine constants: 6x + 234 = 4x + 252", "Subtract 4x from both sides: 2x + 234 = 252", "Subtract 234 from both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 22) + 366 = 4(x + 63)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 22, \"c\": 4, \"d\": 63, \"f\": 366, \"x\": 9}", "seed": "15350094974487832637", "semantic_fingerprint": "sha256:c5f26f1b7a324e8a2076ebae43f50847fd63c23f4bc2c1a57c85a78f9a78d956", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005728", "prompt": "What is 76 * (-9 - 15) + (-73 - 7) - (-5)?", "solution_steps": ["Subtract: -9 - 15 = -24", "Multiply: 76 * (-24) = -1824", "Subtract: -73 - 7 = -80", "Add: -1824 + (-80) = -1904", "Subtract: -1904 - (-5) = -1899"], "final_answer": "-1899", "answer_type": "integer", "kind": "expression", "math_text": "76 * (-9 - 15) + (-73 - 7) - (-5)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n (- n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -9, \"c\": 15, \"d\": -73, \"e\": 7, \"f\": -5}", "seed": "13289933656738651173", "semantic_fingerprint": "sha256:bd517a0023b97662545846e1de63aa8b89ea28ec7051a26cfa77f7cfa02ea5ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005729", "prompt": "Calculate: 883 * (-69) * (4 / (-2))", "solution_steps": ["Multiply: 883 * (-69) = -60927", "Divide: 4 / (-2) = -2", "Multiply: -60927 * (-2) = 121854"], "final_answer": "121854", "answer_type": "integer", "kind": "expression", "math_text": "883 * (-69) * (4 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 883, \"b\": -69, \"c\": 4, \"d\": -2}", "seed": "921749577174371084", "semantic_fingerprint": "sha256:597978f7e3c1042c4037c5a0fd3e81f74e51baa597516dcce42e5f60e59faf4e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005730", "prompt": "What value of x satisfies 2x - 25 = 5x - 64?", "solution_steps": ["Subtract 5x from both sides: -3x - 25 = -64", "Add 25 to both sides: -3x = -39", "Divide both sides by -3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 25 = 5x - 64", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 25, \"c\": 5, \"e\": -64, \"x\": 13}", "seed": "18375002888687141638", "semantic_fingerprint": "sha256:27dc0a77b2f8f0c36079f233fa266fca082db58811d078b1261e8d5be5aa4915", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005731", "prompt": "Evaluate: -16 - 25 * (2 / (-5))", "solution_steps": ["Divide: 2 / (-5) = -2/5", "Multiply: 25 * (-2/5) = -10", "Subtract: -16 - (-10) = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "-16 - 25 * (2 / (-5))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 25, \"c\": 2, \"d\": -5}", "seed": "10985700154983195790", "semantic_fingerprint": "sha256:6521161d5e4de6fcc2472641f89fd95d9e8e2d03f8c4b521858a4af1915ad124", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005732", "prompt": "Compute: 32 * (-2 * 93) * (-2)", "solution_steps": ["Multiply: -2 * 93 = -186", "Multiply: 32 * (-186) = -5952", "Multiply: -5952 * (-2) = 11904"], "final_answer": "11904", "answer_type": "integer", "kind": "expression", "math_text": "32 * (-2 * 93) * (-2)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -2, \"c\": 93, \"d\": -2}", "seed": "6356070247152956655", "semantic_fingerprint": "sha256:0ab99ab5bc0124065c37ae34dfb587c27b126ffec3ce21fc89be784a0c3be81f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005733", "prompt": "What value of x satisfies -8x - 7 = 2x - 97?", "solution_steps": ["Subtract 2x from both sides: -10x - 7 = -97", "Add 7 to both sides: -10x = -90", "Divide both sides by -10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 7 = 2x - 97", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 2, \"e\": -97, \"x\": 9}", "seed": "4931506297669412840", "semantic_fingerprint": "sha256:ef3a3956dcc30fd8cc668d6b5b1a3042de44bb5f8e4e6d2534d762ff3295e4eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005734", "prompt": "Evaluate: 5 * (61 - 4) * (-72 - (10 + 74))", "solution_steps": ["Subtract: 61 - 4 = 57", "Multiply: 5 * 57 = 285", "Add: 10 + 74 = 84", "Subtract: -72 - 84 = -156", "Multiply: 285 * (-156) = -44460"], "final_answer": "-44460", "answer_type": "integer", "kind": "expression", "math_text": "5 * (61 - 4) * (-72 - (10 + 74))", "variable": null, "family": "expression_5op", "shape": "(* (* n (- n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 61, \"c\": 4, \"d\": -72, \"e\": 10, \"f\": 74}", "seed": "2153736417165934575", "semantic_fingerprint": "sha256:61fb0a78a3a3b0bd20730a50a4143822dde62731e60359930e055a479c6a744d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005735", "prompt": "Compute: 5 * (-2) * (68 + (-91 + 455))", "solution_steps": ["Multiply: 5 * (-2) = -10", "Add: -91 + 455 = 364", "Add: 68 + 364 = 432", "Multiply: -10 * 432 = -4320"], "final_answer": "-4320", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-2) * (68 + (-91 + 455))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -2, \"c\": 68, \"d\": -91, \"e\": 455}", "seed": "16849865419424577388", "semantic_fingerprint": "sha256:b6ebcbdc25b1076d88336a3b54e8e88bae4c640f7da57d89a5a3c25bbe64f2de", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005736", "prompt": "Evaluate: -516 / (-500) * (-7 / (-92 + (-181))) - (-8)", "solution_steps": ["Divide: -516 / (-500) = 129/125", "Add: -92 + (-181) = -273", "Divide: -7 / (-273) = 1/39", "Multiply: (129/125) * (1/39) = 43/1625", "Subtract: 43/1625 - (-8) = 13043/1625"], "final_answer": "13043/1625", "answer_type": "rational", "kind": "expression", "math_text": "-516 / (-500) * (-7 / (-92 + (-181))) - (-8)", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) (/ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -516, \"b\": -500, \"c\": -7, \"d\": -92, \"e\": -181, \"f\": -8}", "seed": "17124558879776487823", "semantic_fingerprint": "sha256:e7e4adab744dcfb7bb4bcee0607c3159fa31690800cda8dbf22bbb5da6d515f4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005737", "prompt": "Solve the equation 2(x + 1) + 51 = x + 49 for x.", "solution_steps": ["Expand: 2x + 2 + 51 = x + 49", "Combine constants: 2x + 53 = x + 49", "Subtract x from both sides: x + 53 = 49", "Subtract 53 from both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 1) + 51 = x + 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 51, \"e\": 49, \"x\": -4}", "seed": "11561390994002256086", "semantic_fingerprint": "sha256:eaf3584d702eb8c763c2aca77d0c79189f76c98bf9fa18a77e6e4269ad8516bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005738", "prompt": "What is -36 - 39 + (-780) / (353 - 21)?", "solution_steps": ["Subtract: -36 - 39 = -75", "Subtract: 353 - 21 = 332", "Divide: -780 / 332 = -195/83", "Add: -75 + (-195/83) = -6420/83"], "final_answer": "-6420/83", "answer_type": "rational", "kind": "expression", "math_text": "-36 - 39 + (-780) / (353 - 21)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 39, \"c\": -780, \"d\": 353, \"e\": 21}", "seed": "6215548654044841140", "semantic_fingerprint": "sha256:1763925f5777e45a6c495252adc8c2a12c75329d2dcbe60332ef88a373ca150b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005739", "prompt": "Evaluate: 3 * 73 * (68 + (-9 + 702))", "solution_steps": ["Multiply: 3 * 73 = 219", "Add: -9 + 702 = 693", "Add: 68 + 693 = 761", "Multiply: 219 * 761 = 166659"], "final_answer": "166659", "answer_type": "integer", "kind": "expression", "math_text": "3 * 73 * (68 + (-9 + 702))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 73, \"c\": 68, \"d\": -9, \"e\": 702}", "seed": "17742532619208792370", "semantic_fingerprint": "sha256:b4713402742668b9dfc4078c768a563e464b221e33c6937c977d9d8449ed70bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005740", "prompt": "Compute: 55 - (-905) * (79 / (-21))", "solution_steps": ["Divide: 79 / (-21) = -79/21", "Multiply: -905 * (-79/21) = 71495/21", "Subtract: 55 - 71495/21 = -70340/21"], "final_answer": "-70340/21", "answer_type": "rational", "kind": "expression", "math_text": "55 - (-905) * (79 / (-21))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -905, \"c\": 79, \"d\": -21}", "seed": "16097422160881964093", "semantic_fingerprint": "sha256:04f048931db1a5bc76ff05019bbb051311502870d4efe6923817bdb969ebef8b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005741", "prompt": "What value of x satisfies 9x - 70 = -8x - 359?", "solution_steps": ["Add 8x to both sides: 17x - 70 = -359", "Add 70 to both sides: 17x = -289", "Divide both sides by 17: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 70 = -8x - 359", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 70, \"c\": -8, \"e\": -359, \"x\": -17}", "seed": "645863611621932838", "semantic_fingerprint": "sha256:8372215ffb4616974769908e489b730a277fb28d36efc8c1a0981c8f216ce2b8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005742", "prompt": "Calculate: 17 + (-4 + (-42 + 34 / 3))", "solution_steps": ["Divide: 34 / 3 = 34/3", "Add: -42 + 34/3 = -92/3", "Add: -4 + (-92/3) = -104/3", "Add: 17 + (-104/3) = -53/3"], "final_answer": "-53/3", "answer_type": "rational", "kind": "expression", "math_text": "17 + (-4 + (-42 + 34 / 3))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -4, \"c\": -42, \"d\": 34, \"e\": 3}", "seed": "15840553826975782091", "semantic_fingerprint": "sha256:e6430d50077232b9ffd77b8709e2d6637300ef2d22c8439e5df291fae7b05af7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005743", "prompt": "Calculate: -11 * 87 * (-53 / (45 - 6))", "solution_steps": ["Multiply: -11 * 87 = -957", "Subtract: 45 - 6 = 39", "Divide: -53 / 39 = -53/39", "Multiply: -957 * (-53/39) = 16907/13"], "final_answer": "16907/13", "answer_type": "rational", "kind": "expression", "math_text": "-11 * 87 * (-53 / (45 - 6))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 87, \"c\": -53, \"d\": 45, \"e\": 6}", "seed": "7833744967146145530", "semantic_fingerprint": "sha256:c5d0a71128f8b991ca777c5331e6c1695fb1fad85085a8054e50519c4fd24d33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005744", "prompt": "Evaluate: 71 * (-8 / (-1 * (-423)) * (-48))", "solution_steps": ["Multiply: -1 * (-423) = 423", "Divide: -8 / 423 = -8/423", "Multiply: (-8/423) * (-48) = 128/141", "Multiply: 71 * (128/141) = 9088/141"], "final_answer": "9088/141", "answer_type": "rational", "kind": "expression", "math_text": "71 * (-8 / (-1 * (-423)) * (-48))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -8, \"c\": -1, \"d\": -423, \"e\": -48}", "seed": "1408613627231115220", "semantic_fingerprint": "sha256:4a5d7bc031a640c8fb6ddcbc5e46d74206aa5495e2c01c564b26093d8b6e7eb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005745", "prompt": "Solve for x: 7x - 1 = 8x - 5", "solution_steps": ["Subtract 8x from both sides: -x - 1 = -5", "Add 1 to both sides: -x = -4", "Divide both sides by -1: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 1 = 8x - 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 8, \"e\": -5, \"x\": 4}", "seed": "4401308454548353089", "semantic_fingerprint": "sha256:1b407f995c891e79e6af58a76dad40fbb082277012c495ac8eeaf2bce4a82035", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005746", "prompt": "Evaluate: 335 - (-59) * (-57 / (-83))", "solution_steps": ["Divide: -57 / (-83) = 57/83", "Multiply: -59 * (57/83) = -3363/83", "Subtract: 335 - (-3363/83) = 31168/83"], "final_answer": "31168/83", "answer_type": "rational", "kind": "expression", "math_text": "335 - (-59) * (-57 / (-83))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 335, \"b\": -59, \"c\": -57, \"d\": -83}", "seed": "5054192802388604262", "semantic_fingerprint": "sha256:ca05f0bacd004b2da56979ff1f0684f1026c6615393888869cb3ea7832c0e837", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005747", "prompt": "Compute: 0 - (98 + 63) / 200", "solution_steps": ["Add: 98 + 63 = 161", "Divide: 161 / 200 = 161/200", "Subtract: 0 - 161/200 = -161/200"], "final_answer": "-161/200", "answer_type": "rational", "kind": "expression", "math_text": "0 - (98 + 63) / 200", "variable": null, "family": "expression_3op", "shape": "(- n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 98, \"c\": 63, \"d\": 200}", "seed": "3310535398577084818", "semantic_fingerprint": "sha256:13585387db439de46a8d3627a6ce80cd23b7fc3e8ac11c6ff7bb91707c6d489f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005748", "prompt": "Compute: 8 + (2 - 60) + 940", "solution_steps": ["Subtract: 2 - 60 = -58", "Add: 8 + (-58) = -50", "Add: -50 + 940 = 890"], "final_answer": "890", "answer_type": "integer", "kind": "expression", "math_text": "8 + (2 - 60) + 940", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 60, \"d\": 940}", "seed": "5782727654223521011", "semantic_fingerprint": "sha256:e1190630598904fb0a0b016e5ef0a51a4af2c91e5f50af6842bbca7ef1dd7f28", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005749", "prompt": "Calculate: (9 / 959 - (-47)) * 7", "solution_steps": ["Divide: 9 / 959 = 9/959", "Subtract: 9/959 - (-47) = 45082/959", "Multiply: (45082/959) * 7 = 45082/137"], "final_answer": "45082/137", "answer_type": "rational", "kind": "expression", "math_text": "(9 / 959 - (-47)) * 7", "variable": null, "family": "expression_3op", "shape": "(* (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 959, \"c\": -47, \"d\": 7}", "seed": "1149149000853235091", "semantic_fingerprint": "sha256:2b2fef2ce55b4861a5bae0caca75a4fd82321d4de2ababe35446e14ac42ff5ae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005750", "prompt": "What is 0 * 12 + 1 * 10?", "solution_steps": ["Multiply: 0 * 12 = 0", "Multiply: 1 * 10 = 10", "Add: 0 + 10 = 10"], "final_answer": "10", "answer_type": "integer", "kind": "expression", "math_text": "0 * 12 + 1 * 10", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 12, \"c\": 1, \"d\": 10}", "seed": "10880655775545150299", "semantic_fingerprint": "sha256:e06b617d57489746ed9487eb53c99c20661ec10bbc3028f53901e9577901563e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005751", "prompt": "Calculate: -7 + (-88 - (-216)) + 40", "solution_steps": ["Subtract: -88 - (-216) = 128", "Add: -7 + 128 = 121", "Add: 121 + 40 = 161"], "final_answer": "161", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-88 - (-216)) + 40", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -88, \"c\": -216, \"d\": 40}", "seed": "3599630178599042386", "semantic_fingerprint": "sha256:593f787a5d68774deb9f308592857713bc7356ba53b859574e6e797734b03f52", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005752", "prompt": "What is (21 - (92 + (-7))) * 283?", "solution_steps": ["Add: 92 + (-7) = 85", "Subtract: 21 - 85 = -64", "Multiply: -64 * 283 = -18112"], "final_answer": "-18112", "answer_type": "integer", "kind": "expression", "math_text": "(21 - (92 + (-7))) * 283", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 92, \"c\": -7, \"d\": 283}", "seed": "7254700794108646751", "semantic_fingerprint": "sha256:9f561700e872223817b7255b25497df7b8d08750cdb9f3155a2e12017f0d6922", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005753", "prompt": "Compute: (0 - 72 * 84) / (-22)", "solution_steps": ["Multiply: 72 * 84 = 6048", "Subtract: 0 - 6048 = -6048", "Divide: -6048 / (-22) = 3024/11"], "final_answer": "3024/11", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 72 * 84) / (-22)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 72, \"c\": 84, \"d\": -22}", "seed": "15420386664588919150", "semantic_fingerprint": "sha256:679d3ee48bc204c073db400fa5599be8cd616b02beee8bd7060f574b4d995464", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005754", "prompt": "Calculate: 19 - (-607) + (-96 * 50 + 29)", "solution_steps": ["Subtract: 19 - (-607) = 626", "Multiply: -96 * 50 = -4800", "Add: -4800 + 29 = -4771", "Add: 626 + (-4771) = -4145"], "final_answer": "-4145", "answer_type": "integer", "kind": "expression", "math_text": "19 - (-607) + (-96 * 50 + 29)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -607, \"c\": -96, \"d\": 50, \"e\": 29}", "seed": "17616302065559741793", "semantic_fingerprint": "sha256:35d8bac87563853b16d9d0aa6c58357e0247d1620ef09b3f7e7dd1f95f2ae4fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005755", "prompt": "What is 73 / 7 * (937 / 55)?", "solution_steps": ["Divide: 73 / 7 = 73/7", "Divide: 937 / 55 = 937/55", "Multiply: (73/7) * (937/55) = 68401/385"], "final_answer": "68401/385", "answer_type": "rational", "kind": "expression", "math_text": "73 / 7 * (937 / 55)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 7, \"c\": 937, \"d\": 55}", "seed": "3882915963734448875", "semantic_fingerprint": "sha256:12f9c0512fa07bda52d4a4bcc0e1bbd7a5268066f9820d52fece78d6c96628c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005756", "prompt": "Find x: 7x - 16 = 4x - 61", "solution_steps": ["Subtract 4x from both sides: 3x - 16 = -61", "Add 16 to both sides: 3x = -45", "Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 16 = 4x - 61", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 16, \"c\": 4, \"e\": -61, \"x\": -15}", "seed": "4579105105368187373", "semantic_fingerprint": "sha256:2aff57dd545ec5343564dd91d49a6e2f21c345c006dbded9cfb19f880ce6e641", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005757", "prompt": "Find x: 7x = 2(x + 30) - 140", "solution_steps": ["Expand: 7x = 2x + 60 - 140", "Combine constants: 7x = 2x - 80", "Subtract 2x from both sides: 5x = -80", "Divide both sides by 5: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 2(x + 30) - 140", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 30, \"e\": -140, \"x\": -16}", "seed": "937916192541135865", "semantic_fingerprint": "sha256:2b884e59d7b8efeb99317c5c41862ea84ddfdc92121c9ec54255e915de46abc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005758", "prompt": "Solve for x: 2(x - 38) + 945 = -7(x + 4)", "solution_steps": ["Expand: 2x - 76 + 945 = -7(x + 4)", "Expand: 2x - 76 + 945 = -7x - 28", "Combine constants: 2x + 869 = -7x - 28", "Add 7x to both sides: 9x + 869 = -28", "Subtract 869 from both sides: 9x = -897", "Divide both sides by 9: x = -299/3"], "final_answer": "-299/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 38) + 945 = -7(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 38, \"c\": 945, \"d\": -7, \"e\": 4}", "seed": "15176887498080285699", "semantic_fingerprint": "sha256:fe57ca37ea855d40b292396842f6ba2399dd9b97229736c07f9080a63a5e250e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005759", "prompt": "Find x: 3(x - 48) + 143 = 12(x + 4)", "solution_steps": ["Expand: 3x - 144 + 143 = 12(x + 4)", "Expand: 3x - 144 + 143 = 12x + 48", "Combine constants: 3x - 1 = 12x + 48", "Subtract 12x from both sides: -9x - 1 = 48", "Add 1 to both sides: -9x = 49", "Divide both sides by -9: x = -49/9"], "final_answer": "-49/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 48) + 143 = 12(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 48, \"c\": 143, \"d\": 12, \"e\": 4}", "seed": "12807357932195584012", "semantic_fingerprint": "sha256:b3516dac03a25fabb3fa4363b9129c8c9990308016336e2b895f704af8ed14b4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005760", "prompt": "Solve the equation 12(x + 21) - 2 = x + 8 for x.", "solution_steps": ["Expand: 12x + 252 - 2 = x + 8", "Combine constants: 12x + 250 = x + 8", "Subtract x from both sides: 11x + 250 = 8", "Subtract 250 from both sides: 11x = -242", "Divide both sides by 11: x = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 21) - 2 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 21, \"c\": 2, \"d\": 8}", "seed": "2970391331613574230", "semantic_fingerprint": "sha256:7b6aea58082a3935e6c0cc717a60e743399c6a7e0c230c6d82e686d89b86e745", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005761", "prompt": "Solve for x: 7(x + 71) = 10(x - 6) + 551", "solution_steps": ["Expand: 7x + 497 = 10(x - 6) + 551", "Expand: 7x + 497 = 10x - 60 + 551", "Combine constants: 7x + 497 = 10x + 491", "Subtract 10x from both sides: -3x + 497 = 491", "Subtract 497 from both sides: -3x = -6", "Divide both sides by -3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 71) = 10(x - 6) + 551", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 71, \"c\": 10, \"d\": 6, \"f\": 551, \"x\": 2}", "seed": "3531719431277251871", "semantic_fingerprint": "sha256:fb94e4a620640d13843999ee2fcf8563c11d068b87a3fdd60c711ad738c0baaa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005762", "prompt": "Find x: -8(x + 14) = -12(x - 97) + 17", "solution_steps": ["Expand: -8x - 112 = -12(x - 97) + 17", "Expand: -8x - 112 = -12x + 1164 + 17", "Combine constants: -8x - 112 = -12x + 1181", "Add 12x to both sides: 4x - 112 = 1181", "Add 112 to both sides: 4x = 1293", "Divide both sides by 4: x = 1293/4"], "final_answer": "1293/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 14) = -12(x - 97) + 17", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 14, \"c\": -12, \"d\": 97, \"e\": 17}", "seed": "8005189038867341094", "semantic_fingerprint": "sha256:9f68e809be45b13314bdfff15550e598762c2314d993caf37677894755245232", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005763", "prompt": "Evaluate: 53 * (-27 / 905) * (-26 * (-14))", "solution_steps": ["Divide: -27 / 905 = -27/905", "Multiply: 53 * (-27/905) = -1431/905", "Multiply: -26 * (-14) = 364", "Multiply: (-1431/905) * 364 = -520884/905"], "final_answer": "-520884/905", "answer_type": "rational", "kind": "expression", "math_text": "53 * (-27 / 905) * (-26 * (-14))", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -27, \"c\": 905, \"d\": -26, \"e\": -14}", "seed": "7502198209916846474", "semantic_fingerprint": "sha256:e4e19779245ab17e3988b725ce1eec583710cfcaac1c7c41a114db9b10d64659", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005764", "prompt": "Evaluate: (-382 - (-2) + (-55)) / (-16) * (-37)", "solution_steps": ["Subtract: -382 - (-2) = -380", "Add: -380 + (-55) = -435", "Divide: -435 / (-16) = 435/16", "Multiply: (435/16) * (-37) = -16095/16"], "final_answer": "-16095/16", "answer_type": "rational", "kind": "expression", "math_text": "(-382 - (-2) + (-55)) / (-16) * (-37)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -382, \"b\": -2, \"c\": -55, \"d\": -16, \"e\": -37}", "seed": "13673491019050850494", "semantic_fingerprint": "sha256:de47f24feb71afdb30a409e5c5a6f106cbf1d445d9ccb34619369d5894e98b29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005765", "prompt": "What is 32 * (-859) + (-7 - (-4 - 43) / (-7))?", "solution_steps": ["Multiply: 32 * (-859) = -27488", "Subtract: -4 - 43 = -47", "Divide: -47 / (-7) = 47/7", "Subtract: -7 - 47/7 = -96/7", "Add: -27488 + (-96/7) = -192512/7"], "final_answer": "-192512/7", "answer_type": "rational", "kind": "expression", "math_text": "32 * (-859) + (-7 - (-4 - 43) / (-7))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- n (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -859, \"c\": -7, \"d\": -4, \"e\": 43, \"f\": -7}", "seed": "15914291866223064268", "semantic_fingerprint": "sha256:f5ee92645054f63ed3b0b0c50b203bdf3fd363b6df32d7e041426892d9f1ef51", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005766", "prompt": "Find x: 3x - 44 = 8x - 64", "solution_steps": ["Subtract 8x from both sides: -5x - 44 = -64", "Add 44 to both sides: -5x = -20", "Divide both sides by -5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 44 = 8x - 64", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 44, \"c\": 8, \"e\": -64, \"x\": 4}", "seed": "14244678240333359697", "semantic_fingerprint": "sha256:57c5c9ed873704a93509bf0eccf5de8707e772134df6d9ac4dd20899ecc33c19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005767", "prompt": "Solve the equation -10(x + 521) + 6 = x + 4 for x.", "solution_steps": ["Expand: -10x - 5210 + 6 = x + 4", "Combine constants: -10x - 5204 = x + 4", "Subtract x from both sides: -11x - 5204 = 4", "Add 5204 to both sides: -11x = 5208", "Divide both sides by -11: x = -5208/11"], "final_answer": "-5208/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 521) + 6 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 521, \"c\": 6, \"d\": 4}", "seed": "10480150535961527078", "semantic_fingerprint": "sha256:2f706750f3fa107cc140c954b5fc3662bd76b5f0ee095aba5186117f835234b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005768", "prompt": "Calculate: -9 * (1 * (-8)) / (2 / 68 / (-38))", "solution_steps": ["Multiply: 1 * (-8) = -8", "Multiply: -9 * (-8) = 72", "Divide: 2 / 68 = 1/34", "Divide: (1/34) / (-38) = -1/1292", "Divide: 72 / (-1/1292) = -93024"], "final_answer": "-93024", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (1 * (-8)) / (2 / 68 / (-38))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (* n n)) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": -8, \"d\": 2, \"e\": 68, \"f\": -38}", "seed": "16095087809192133428", "semantic_fingerprint": "sha256:452eb052c8d6cb98b6d821b01befd4d557d99a34564c08c31f1005fbb04b27d6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005769", "prompt": "What is -91 / 46 / (-3) + (-8 + (16 + (-2)))?", "solution_steps": ["Divide: -91 / 46 = -91/46", "Divide: (-91/46) / (-3) = 91/138", "Add: 16 + (-2) = 14", "Add: -8 + 14 = 6", "Add: 91/138 + 6 = 919/138"], "final_answer": "919/138", "answer_type": "rational", "kind": "expression", "math_text": "-91 / 46 / (-3) + (-8 + (16 + (-2)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 46, \"c\": -3, \"d\": -8, \"e\": 16, \"f\": -2}", "seed": "4522497933026678065", "semantic_fingerprint": "sha256:bab413873d6261333b7fa6f068fc2654eafac77496bd1c82c43faab53c01b019", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005770", "prompt": "Find x: 2x - 242 = 3(x - 86)", "solution_steps": ["Expand: 2x - 242 = 3x - 258", "Subtract 3x from both sides: -x - 242 = -258", "Add 242 to both sides: -x = -16", "Divide both sides by -1: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 242 = 3(x - 86)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 86, \"e\": -242, \"x\": 16}", "seed": "8530496222226297108", "semantic_fingerprint": "sha256:55af2172d1321cf616feb0e872d1c6c44be7717cdedb8406ca25a955c2dc7b5e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005771", "prompt": "Solve the equation 11x = -12(x + 2) + 438 for x.", "solution_steps": ["Expand: 11x = -12x - 24 + 438", "Combine constants: 11x = -12x + 414", "Add 12x to both sides: 23x = 414", "Divide both sides by 23: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -12(x + 2) + 438", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -12, \"c\": 2, \"e\": 438, \"x\": 18}", "seed": "16384878443295511310", "semantic_fingerprint": "sha256:1c74083ef368212bdd0735eb5b54e388102792e6d29ff848d310806f6ac7f552", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005772", "prompt": "Calculate: (-8 + (-54)) / (9 + 0 - (-4)) / (-713)", "solution_steps": ["Add: -8 + (-54) = -62", "Add: 9 + 0 = 9", "Subtract: 9 - (-4) = 13", "Divide: -62 / 13 = -62/13", "Divide: (-62/13) / (-713) = 2/299"], "final_answer": "2/299", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-54)) / (9 + 0 - (-4)) / (-713)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (+ n n) (- (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -54, \"c\": 9, \"d\": 0, \"e\": -4, \"f\": -713}", "seed": "7553308346177733959", "semantic_fingerprint": "sha256:ebc59af7e9d31cb5a0d42455d4e6a58c5647040d3e2215cfdcb7a8ac43c77e7b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005773", "prompt": "Evaluate: (3 * (-82) - 5) * (808 + 606 * 3)", "solution_steps": ["Multiply: 3 * (-82) = -246", "Subtract: -246 - 5 = -251", "Multiply: 606 * 3 = 1818", "Add: 808 + 1818 = 2626", "Multiply: -251 * 2626 = -659126"], "final_answer": "-659126", "answer_type": "integer", "kind": "expression", "math_text": "(3 * (-82) - 5) * (808 + 606 * 3)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -82, \"c\": 5, \"d\": 808, \"e\": 606, \"f\": 3}", "seed": "2562704112348303922", "semantic_fingerprint": "sha256:168154f2a8deddbb1d2b3f94a98572902ffece79d4ab031b8ed1a01955d832cc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005774", "prompt": "Calculate: -51 * (-40 + 45 * 88)", "solution_steps": ["Multiply: 45 * 88 = 3960", "Add: -40 + 3960 = 3920", "Multiply: -51 * 3920 = -199920"], "final_answer": "-199920", "answer_type": "integer", "kind": "expression", "math_text": "-51 * (-40 + 45 * 88)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -40, \"c\": 45, \"d\": 88}", "seed": "14027800533326837537", "semantic_fingerprint": "sha256:17821e05536cf7b54a1a39bbe796ce78fd5cf3909abc1ed10ccddf0edc029aff", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005775", "prompt": "Solve the equation 10(x - 4) + 62 = 5(x + 7) for x.", "solution_steps": ["Expand: 10x - 40 + 62 = 5(x + 7)", "Expand: 10x - 40 + 62 = 5x + 35", "Combine constants: 10x + 22 = 5x + 35", "Subtract 5x from both sides: 5x + 22 = 35", "Subtract 22 from both sides: 5x = 13", "Divide both sides by 5: x = 13/5"], "final_answer": "13/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 4) + 62 = 5(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 62, \"d\": 5, \"e\": 7}", "seed": "247101847137851110", "semantic_fingerprint": "sha256:35966056f1653900238d2cd7a12f6290e44e7e1b9eaca81d24e7a6acba68a7e3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005776", "prompt": "What value of x satisfies 12(x + 81) + 923 = x + 7?", "solution_steps": ["Expand: 12x + 972 + 923 = x + 7", "Combine constants: 12x + 1895 = x + 7", "Subtract x from both sides: 11x + 1895 = 7", "Subtract 1895 from both sides: 11x = -1888", "Divide both sides by 11: x = -1888/11"], "final_answer": "-1888/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 81) + 923 = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 81, \"c\": 923, \"d\": 7}", "seed": "2134005175812558980", "semantic_fingerprint": "sha256:41d3814217e9743b966adfb7e0651225a5d759e2e9105aafa61a91d70e96563f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005777", "prompt": "Find x: -11(x - 35) - 501 = x + 64", "solution_steps": ["Expand: -11x + 385 - 501 = x + 64", "Combine constants: -11x - 116 = x + 64", "Subtract x from both sides: -12x - 116 = 64", "Add 116 to both sides: -12x = 180", "Divide both sides by -12: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 35) - 501 = x + 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 35, \"c\": 501, \"e\": 64, \"x\": -15}", "seed": "14458171374686915100", "semantic_fingerprint": "sha256:c24f272d939ad644a2bb0523bf5b025ee4b940be4cd99e0eb5b3e14208e4fd43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005778", "prompt": "Solve for x: 5(x - 1) - 434 = x + 53", "solution_steps": ["Expand: 5x - 5 - 434 = x + 53", "Combine constants: 5x - 439 = x + 53", "Subtract x from both sides: 4x - 439 = 53", "Add 439 to both sides: 4x = 492", "Divide both sides by 4: x = 123"], "final_answer": "123", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 1) - 434 = x + 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 434, \"d\": 53}", "seed": "13061648880306206819", "semantic_fingerprint": "sha256:65fac071cbf812999cd4a7ae88a3841a4a2a55a97ec70e71cfbc5df5c774ba96", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005779", "prompt": "What value of x satisfies -11(x - 53) - 40 = x + 399?", "solution_steps": ["Expand: -11x + 583 - 40 = x + 399", "Combine constants: -11x + 543 = x + 399", "Subtract x from both sides: -12x + 543 = 399", "Subtract 543 from both sides: -12x = -144", "Divide both sides by -12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 53) - 40 = x + 399", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 53, \"c\": 40, \"e\": 399, \"x\": 12}", "seed": "16831710548587961275", "semantic_fingerprint": "sha256:5660ccf0f3e3ae104a738ed102b1215df99b01aba3314610a51dd62b13a88073", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005780", "prompt": "Solve for x: 2x - 355 = 11x - 706", "solution_steps": ["Subtract 11x from both sides: -9x - 355 = -706", "Add 355 to both sides: -9x = -351", "Divide both sides by -9: x = 39"], "final_answer": "39", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 355 = 11x - 706", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 355, \"c\": 11, \"d\": 706}", "seed": "7304535653640289351", "semantic_fingerprint": "sha256:eb284139fc79889682908be5745cab406f989b5ae4df2377c425dbf22d347afb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005781", "prompt": "Evaluate: 149 + (-5 - (-505)) + (-2)", "solution_steps": ["Subtract: -5 - (-505) = 500", "Add: 149 + 500 = 649", "Add: 649 + (-2) = 647"], "final_answer": "647", "answer_type": "integer", "kind": "expression", "math_text": "149 + (-5 - (-505)) + (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 149, \"b\": -5, \"c\": -505, \"d\": -2}", "seed": "11233534252362119804", "semantic_fingerprint": "sha256:a679dcd247c59d6c034270f8331bd6eb5d533271bd0b1e2bbf1d2a1960a4c34c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005782", "prompt": "What value of x satisfies 6(x + 9) + 3 = x + 97?", "solution_steps": ["Expand: 6x + 54 + 3 = x + 97", "Combine constants: 6x + 57 = x + 97", "Subtract x from both sides: 5x + 57 = 97", "Subtract 57 from both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 9) + 3 = x + 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 3, \"e\": 97, \"x\": 8}", "seed": "2044159799193993120", "semantic_fingerprint": "sha256:283e4326d363d9375bbc40a10efc20f6925aac44a6870905c6035d08ed20a721", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005783", "prompt": "Evaluate: 312 / (-84 * (-92 / (-63) - 2)) + 407", "solution_steps": ["Divide: -92 / (-63) = 92/63", "Subtract: 92/63 - 2 = -34/63", "Multiply: -84 * (-34/63) = 136/3", "Divide: 312 / (136/3) = 117/17", "Add: 117/17 + 407 = 7036/17"], "final_answer": "7036/17", "answer_type": "rational", "kind": "expression", "math_text": "312 / (-84 * (-92 / (-63) - 2)) + 407", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (* n (- (/ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 312, \"b\": -84, \"c\": -92, \"d\": -63, \"e\": 2, \"f\": 407}", "seed": "4500719719648534119", "semantic_fingerprint": "sha256:de01d77eab2e38825fa4dcbdb9e3b4082945966aac7e30be3949c24fd3d32de0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005784", "prompt": "Compute: (-267 * (-64) + 1) / 32 * 720", "solution_steps": ["Multiply: -267 * (-64) = 17088", "Add: 17088 + 1 = 17089", "Divide: 17089 / 32 = 17089/32", "Multiply: (17089/32) * 720 = 769005/2"], "final_answer": "769005/2", "answer_type": "rational", "kind": "expression", "math_text": "(-267 * (-64) + 1) / 32 * 720", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -267, \"b\": -64, \"c\": 1, \"d\": 32, \"e\": 720}", "seed": "657345825156550840", "semantic_fingerprint": "sha256:ca619ba7377b5e72c30bbf65f549e89c4f1085682edc2f72be94ae1278865344", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005785", "prompt": "What is 76 + (64 - (-3 + 9))?", "solution_steps": ["Add: -3 + 9 = 6", "Subtract: 64 - 6 = 58", "Add: 76 + 58 = 134"], "final_answer": "134", "answer_type": "integer", "kind": "expression", "math_text": "76 + (64 - (-3 + 9))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 64, \"c\": -3, \"d\": 9}", "seed": "18422516367625875627", "semantic_fingerprint": "sha256:9a32a5b264429a89ca3e524e1701ae64ae88cf12bbc3354beda09d5e3cf881fd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005786", "prompt": "Find x: -2(x - 52) - 8 = x + 147", "solution_steps": ["Expand: -2x + 104 - 8 = x + 147", "Combine constants: -2x + 96 = x + 147", "Subtract x from both sides: -3x + 96 = 147", "Subtract 96 from both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 52) - 8 = x + 147", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 52, \"c\": 8, \"e\": 147, \"x\": -17}", "seed": "8925949375386257880", "semantic_fingerprint": "sha256:9469d3fb7f28b93d63602cd186da51278cb2084717af784cd5331a1761b3354c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005787", "prompt": "What value of x satisfies 11(x + 38) = 8(x - 522) + 252?", "solution_steps": ["Expand: 11x + 418 = 8(x - 522) + 252", "Expand: 11x + 418 = 8x - 4176 + 252", "Combine constants: 11x + 418 = 8x - 3924", "Subtract 8x from both sides: 3x + 418 = -3924", "Subtract 418 from both sides: 3x = -4342", "Divide both sides by 3: x = -4342/3"], "final_answer": "-4342/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 38) = 8(x - 522) + 252", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 38, \"c\": 8, \"d\": 522, \"e\": 252}", "seed": "16880040069660476182", "semantic_fingerprint": "sha256:eff1aa1323641e0f299e627d9cb49ed0b703136d463a3e2a9ddcfb3a052bf9f2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005788", "prompt": "Solve the equation 3x - 997 = -9x - 841 for x.", "solution_steps": ["Add 9x to both sides: 12x - 997 = -841", "Add 997 to both sides: 12x = 156", "Divide both sides by 12: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 997 = -9x - 841", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 997, \"c\": -9, \"e\": -841, \"x\": 13}", "seed": "4961577429309838236", "semantic_fingerprint": "sha256:67d55dbd4c0215c65435ed5081854ab41a7d84b4216ad8bd70e10d76f8559d88", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005789", "prompt": "Find x: 7x = 6(x + 4) - 636", "solution_steps": ["Expand: 7x = 6x + 24 - 636", "Combine constants: 7x = 6x - 612", "Subtract 6x from both sides: x = -612"], "final_answer": "-612", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 6(x + 4) - 636", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 4, \"d\": 636}", "seed": "8625561110531446891", "semantic_fingerprint": "sha256:91414c5427003af090c9c8afe043a29ae1f7ce8ecefea38432731410accde2b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005790", "prompt": "Evaluate: -7 / (-2) * (-95 - (-55) - 5)", "solution_steps": ["Divide: -7 / (-2) = 7/2", "Subtract: -95 - (-55) = -40", "Subtract: -40 - 5 = -45", "Multiply: (7/2) * (-45) = -315/2"], "final_answer": "-315/2", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-2) * (-95 - (-55) - 5)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -2, \"c\": -95, \"d\": -55, \"e\": 5}", "seed": "7884743106313709036", "semantic_fingerprint": "sha256:904d398dea82c509568e80d44fbf074437fde897d8bd14a2d9bafb2b5a3215ba", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005791", "prompt": "Solve for x: 8(x - 716) - 99 = x + 4", "solution_steps": ["Expand: 8x - 5728 - 99 = x + 4", "Combine constants: 8x - 5827 = x + 4", "Subtract x from both sides: 7x - 5827 = 4", "Add 5827 to both sides: 7x = 5831", "Divide both sides by 7: x = 833"], "final_answer": "833", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 716) - 99 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 716, \"c\": 99, \"d\": 4}", "seed": "15260978839296381399", "semantic_fingerprint": "sha256:b3d5f34a847624e5d82e850da3c2309101efa95ac7f432b4af183ce9c2cfc0e1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005792", "prompt": "Compute: 6 / (-4) + (-5) - (-1) + (-388)", "solution_steps": ["Divide: 6 / (-4) = -3/2", "Add: -3/2 + (-5) = -13/2", "Subtract: -13/2 - (-1) = -11/2", "Add: -11/2 + (-388) = -787/2"], "final_answer": "-787/2", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-4) + (-5) - (-1) + (-388)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": -5, \"d\": -1, \"e\": -388}", "seed": "9529788567754057187", "semantic_fingerprint": "sha256:78637f06ce7ab44628a47863b1e278d32175aeeac436e80c1018547e13f7abbb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005793", "prompt": "Compute: 1 + (-18 - (8 + 386))", "solution_steps": ["Add: 8 + 386 = 394", "Subtract: -18 - 394 = -412", "Add: 1 + (-412) = -411"], "final_answer": "-411", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-18 - (8 + 386))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -18, \"c\": 8, \"d\": 386}", "seed": "12579480296348622631", "semantic_fingerprint": "sha256:a074ac85a9aeb0c9bbb39af9a4195b051356158a85296a217bafb6914bde49c5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005794", "prompt": "What is (3 + 57) / (3 / 56 + (-104))?", "solution_steps": ["Add: 3 + 57 = 60", "Divide: 3 / 56 = 3/56", "Add: 3/56 + (-104) = -5821/56", "Divide: 60 / (-5821/56) = -3360/5821"], "final_answer": "-3360/5821", "answer_type": "rational", "kind": "expression", "math_text": "(3 + 57) / (3 / 56 + (-104))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 57, \"c\": 3, \"d\": 56, \"e\": -104}", "seed": "3173898430811517254", "semantic_fingerprint": "sha256:abef3da06a8580eb7e197d2eb6e92f727a5dee6ddd543baedfd71dc79a95b49f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005795", "prompt": "What value of x satisfies 3(x + 1) + 564 = x + 581?", "solution_steps": ["Expand: 3x + 3 + 564 = x + 581", "Combine constants: 3x + 567 = x + 581", "Subtract x from both sides: 2x + 567 = 581", "Subtract 567 from both sides: 2x = 14", "Divide both sides by 2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 1) + 564 = x + 581", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 564, \"e\": 581, \"x\": 7}", "seed": "14889449631474421582", "semantic_fingerprint": "sha256:913f2314a1278e1262834711fbec72e3f01b9134704f8dca2b6f3a1cd8670c45", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005796", "prompt": "Calculate: 1 * (-96) + (993 - (-58))", "solution_steps": ["Multiply: 1 * (-96) = -96", "Subtract: 993 - (-58) = 1051", "Add: -96 + 1051 = 955"], "final_answer": "955", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-96) + (993 - (-58))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -96, \"c\": 993, \"d\": -58}", "seed": "17484878278656116400", "semantic_fingerprint": "sha256:398522677673d3723bc644e864fef7117096e0c5098affa71d3e308b166d8beb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005797", "prompt": "What is (8 + 911) / (-2) + (-897)?", "solution_steps": ["Add: 8 + 911 = 919", "Divide: 919 / (-2) = -919/2", "Add: -919/2 + (-897) = -2713/2"], "final_answer": "-2713/2", "answer_type": "rational", "kind": "expression", "math_text": "(8 + 911) / (-2) + (-897)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 911, \"c\": -2, \"d\": -897}", "seed": "12488110298955758404", "semantic_fingerprint": "sha256:e572b0ee49575a9c283a98fb4d2fa00cb8bad61bdd1a92780d60c1b7ff961e7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005798", "prompt": "Find x: 6(x + 95) + 8 = x + 553", "solution_steps": ["Expand: 6x + 570 + 8 = x + 553", "Combine constants: 6x + 578 = x + 553", "Subtract x from both sides: 5x + 578 = 553", "Subtract 578 from both sides: 5x = -25", "Divide both sides by 5: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 95) + 8 = x + 553", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 95, \"c\": 8, \"e\": 553, \"x\": -5}", "seed": "12205869314201475744", "semantic_fingerprint": "sha256:8a50f3f435d6dfe1315699109702cf0dedcec779258084e3175ae312cf964b33", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005799", "prompt": "Evaluate: 60 / (73 * (-7 + (-83)))", "solution_steps": ["Add: -7 + (-83) = -90", "Multiply: 73 * (-90) = -6570", "Divide: 60 / (-6570) = -2/219"], "final_answer": "-2/219", "answer_type": "rational", "kind": "expression", "math_text": "60 / (73 * (-7 + (-83)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 73, \"c\": -7, \"d\": -83}", "seed": "6728091319580956241", "semantic_fingerprint": "sha256:7aa9bc999a30f1786a10378a359163716ea1c49b58c6cf35e2dc29ab349c011e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005800", "prompt": "Evaluate: 39 / 15 - 45 - 76 / 47", "solution_steps": ["Divide: 39 / 15 = 13/5", "Subtract: 13/5 - 45 = -212/5", "Divide: 76 / 47 = 76/47", "Subtract: -212/5 - 76/47 = -10344/235"], "final_answer": "-10344/235", "answer_type": "rational", "kind": "expression", "math_text": "39 / 15 - 45 - 76 / 47", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 15, \"c\": 45, \"d\": 76, \"e\": 47}", "seed": "10059499977583904457", "semantic_fingerprint": "sha256:cf1e41e56949b23abf5ede3a8cff629dc7a156f3d4193e0932d8556c30e6ea89", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005801", "prompt": "Calculate: (2 + 87) / (783 - 0 / (-1))", "solution_steps": ["Add: 2 + 87 = 89", "Divide: 0 / (-1) = 0", "Subtract: 783 - 0 = 783", "Divide: 89 / 783 = 89/783"], "final_answer": "89/783", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 87) / (783 - 0 / (-1))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 87, \"c\": 783, \"d\": 0, \"e\": -1}", "seed": "1323917302002665495", "semantic_fingerprint": "sha256:68d900981a46da8ddf4cba361808b1becf3550020efc2a88f8730e250bf5c3b9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005802", "prompt": "What value of x satisfies -5x = 6(x + 88) + 53?", "solution_steps": ["Expand: -5x = 6x + 528 + 53", "Combine constants: -5x = 6x + 581", "Subtract 6x from both sides: -11x = 581", "Divide both sides by -11: x = -581/11"], "final_answer": "-581/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 6(x + 88) + 53", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 88, \"d\": 53}", "seed": "8869595755179786601", "semantic_fingerprint": "sha256:8a59921790a2aea35c6870b837d1ebf1213ea807be2f6302a314d177fccd18d0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005803", "prompt": "What value of x satisfies 6(x + 5) + 170 = x + 170?", "solution_steps": ["Expand: 6x + 30 + 170 = x + 170", "Combine constants: 6x + 200 = x + 170", "Subtract x from both sides: 5x + 200 = 170", "Subtract 200 from both sides: 5x = -30", "Divide both sides by 5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) + 170 = x + 170", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 170, \"e\": 170, \"x\": -6}", "seed": "12574636423081152441", "semantic_fingerprint": "sha256:fee950c5fcfa9989fb8d0f5e315a24eef5189abbbf4e9d4eeddd8fff8b5a7e53", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005804", "prompt": "What is -53 / (87 + (-88)) + 77 * 62?", "solution_steps": ["Add: 87 + (-88) = -1", "Divide: -53 / (-1) = 53", "Multiply: 77 * 62 = 4774", "Add: 53 + 4774 = 4827"], "final_answer": "4827", "answer_type": "integer", "kind": "expression", "math_text": "-53 / (87 + (-88)) + 77 * 62", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 87, \"c\": -88, \"d\": 77, \"e\": 62}", "seed": "1756309220496671317", "semantic_fingerprint": "sha256:ec4eb3c475ffd5883a39807a5ad4f148fb40b47d9ae63bf5520eb36583ce0acc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005805", "prompt": "What is -60 / (0 * 177 / (8 * (-127)) + (-5))?", "solution_steps": ["Multiply: 0 * 177 = 0", "Multiply: 8 * (-127) = -1016", "Divide: 0 / (-1016) = 0", "Add: 0 + (-5) = -5", "Divide: -60 / (-5) = 12"], "final_answer": "12", "answer_type": "integer", "kind": "expression", "math_text": "-60 / (0 * 177 / (8 * (-127)) + (-5))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (/ (* n n) (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 0, \"c\": 177, \"d\": 8, \"e\": -127, \"f\": -5}", "seed": "2063354276721332209", "semantic_fingerprint": "sha256:6ca331cec91c1a119a07f79bf31bc723f799122d577458f5c74595f039795167", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005806", "prompt": "Evaluate: -41 * (-135 + 73 * 5)", "solution_steps": ["Multiply: 73 * 5 = 365", "Add: -135 + 365 = 230", "Multiply: -41 * 230 = -9430"], "final_answer": "-9430", "answer_type": "integer", "kind": "expression", "math_text": "-41 * (-135 + 73 * 5)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -135, \"c\": 73, \"d\": 5}", "seed": "12137157387476196679", "semantic_fingerprint": "sha256:56126318b9e342c50688fd5c86de23ddb60dd031e94d642fd49a90b01feb741b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005807", "prompt": "What is 2 / (-46 / (13 / 1) - 7 + 7)?", "solution_steps": ["Divide: 13 / 1 = 13", "Divide: -46 / 13 = -46/13", "Subtract: -46/13 - 7 = -137/13", "Add: -137/13 + 7 = -46/13", "Divide: 2 / (-46/13) = -13/23"], "final_answer": "-13/23", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-46 / (13 / 1) - 7 + 7)", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (- (/ n (/ n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -46, \"c\": 13, \"d\": 1, \"e\": 7, \"f\": 7}", "seed": "6080049165878252988", "semantic_fingerprint": "sha256:f4677e99cf8f462af96f4840cf303cb672e8cf588deec03fa88779fea6ad22f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005808", "prompt": "What is (2 / 4 / (-31) + (-188)) / (21 + (-92))?", "solution_steps": ["Divide: 2 / 4 = 1/2", "Divide: (1/2) / (-31) = -1/62", "Add: -1/62 + (-188) = -11657/62", "Add: 21 + (-92) = -71", "Divide: (-11657/62) / (-71) = 11657/4402"], "final_answer": "11657/4402", "answer_type": "rational", "kind": "expression", "math_text": "(2 / 4 / (-31) + (-188)) / (21 + (-92))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ (/ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": -31, \"d\": -188, \"e\": 21, \"f\": -92}", "seed": "12220273237417741022", "semantic_fingerprint": "sha256:a00e90d1e67d61b91432a0ec1d710387ae79f59d9550e4429cb1997af12302ea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005809", "prompt": "What value of x satisfies 12(x + 1) + 229 = x + 5?", "solution_steps": ["Expand: 12x + 12 + 229 = x + 5", "Combine constants: 12x + 241 = x + 5", "Subtract x from both sides: 11x + 241 = 5", "Subtract 241 from both sides: 11x = -236", "Divide both sides by 11: x = -236/11"], "final_answer": "-236/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 1) + 229 = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 229, \"d\": 5}", "seed": "13784546511957369074", "semantic_fingerprint": "sha256:16fdcd445d38845e044343f4452445bbbeffe83f72d095706c31a77474e82800", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005810", "prompt": "Evaluate: -6 * 97 + (-96) + (-84 - (-8))", "solution_steps": ["Multiply: -6 * 97 = -582", "Add: -582 + (-96) = -678", "Subtract: -84 - (-8) = -76", "Add: -678 + (-76) = -754"], "final_answer": "-754", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 97 + (-96) + (-84 - (-8))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 97, \"c\": -96, \"d\": -84, \"e\": -8}", "seed": "2652493887105539735", "semantic_fingerprint": "sha256:42b0af73c29d697e13bf06690b79c05c3824f1487d92d3462d432b628ec5eb60", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005811", "prompt": "Compute: 0 + (65 + (-8 - (-9)) * (7 * (-71)))", "solution_steps": ["Subtract: -8 - (-9) = 1", "Multiply: 7 * (-71) = -497", "Multiply: 1 * (-497) = -497", "Add: 65 + (-497) = -432", "Add: 0 + (-432) = -432"], "final_answer": "-432", "answer_type": "integer", "kind": "expression", "math_text": "0 + (65 + (-8 - (-9)) * (7 * (-71)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (* (- n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 65, \"c\": -8, \"d\": -9, \"e\": 7, \"f\": -71}", "seed": "6816378259193053585", "semantic_fingerprint": "sha256:e55639a10a504f75edbedd8458581d21b4a3bdd306320339ad51760beb061fed", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005812", "prompt": "Calculate: 19 / 2 * (6 / (-5))", "solution_steps": ["Divide: 19 / 2 = 19/2", "Divide: 6 / (-5) = -6/5", "Multiply: (19/2) * (-6/5) = -57/5"], "final_answer": "-57/5", "answer_type": "rational", "kind": "expression", "math_text": "19 / 2 * (6 / (-5))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 2, \"c\": 6, \"d\": -5}", "seed": "671752108025825834", "semantic_fingerprint": "sha256:9ef8c1afb3430e0abc8f0e5b8fc54f81dd7fa7c647a1abf39c246e7ee9372aca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005813", "prompt": "Solve for x: 4(x + 6) + 51 = x + 99", "solution_steps": ["Expand: 4x + 24 + 51 = x + 99", "Combine constants: 4x + 75 = x + 99", "Subtract x from both sides: 3x + 75 = 99", "Subtract 75 from both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 6) + 51 = x + 99", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 51, \"e\": 99, \"x\": 8}", "seed": "17083933847408820258", "semantic_fingerprint": "sha256:0b69f11c5304ca914044fe7f19f04bdabdc0998c3f09c319362b8198620b2de5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005814", "prompt": "What value of x satisfies 9x = 3(x + 6) + 47?", "solution_steps": ["Expand: 9x = 3x + 18 + 47", "Combine constants: 9x = 3x + 65", "Subtract 3x from both sides: 6x = 65", "Divide both sides by 6: x = 65/6"], "final_answer": "65/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 3(x + 6) + 47", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 6, \"d\": 47}", "seed": "4595933311596657136", "semantic_fingerprint": "sha256:aedb17024a9d96b388d022f05841cc0158a3f223b5b8717930e68754d3c1bb2c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005815", "prompt": "Calculate: 5 / (-3) * (-561 / (-530))", "solution_steps": ["Divide: 5 / (-3) = -5/3", "Divide: -561 / (-530) = 561/530", "Multiply: (-5/3) * (561/530) = -187/106"], "final_answer": "-187/106", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-3) * (-561 / (-530))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"c\": -561, \"d\": -530}", "seed": "14918349858188908461", "semantic_fingerprint": "sha256:55b54de0e905fc032e5fbe068a644940ce839ee0f24e5e53843c30a47d087ed6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005816", "prompt": "Compute: (-3 - (-93 + 6)) / 681 + (-8)", "solution_steps": ["Add: -93 + 6 = -87", "Subtract: -3 - (-87) = 84", "Divide: 84 / 681 = 28/227", "Add: 28/227 + (-8) = -1788/227"], "final_answer": "-1788/227", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - (-93 + 6)) / 681 + (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -93, \"c\": 6, \"d\": 681, \"e\": -8}", "seed": "3516441803788157700", "semantic_fingerprint": "sha256:758470365b26e51da7d332a5904632a6969a8d0d5d0a34d9e10045adfe22d4a3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005817", "prompt": "Evaluate: 7 * (-41 * 5) * (-36)", "solution_steps": ["Multiply: -41 * 5 = -205", "Multiply: 7 * (-205) = -1435", "Multiply: -1435 * (-36) = 51660"], "final_answer": "51660", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-41 * 5) * (-36)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -41, \"c\": 5, \"d\": -36}", "seed": "660653448463256165", "semantic_fingerprint": "sha256:02dff2d914dbddbd9314771235985703f1406e48d687fbc5f080b45d9b2d3618", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005818", "prompt": "Compute: -36 + (-95) - 0 * (72 - (3 + (-6)))", "solution_steps": ["Add: -36 + (-95) = -131", "Add: 3 + (-6) = -3", "Subtract: 72 - (-3) = 75", "Multiply: 0 * 75 = 0", "Subtract: -131 - 0 = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "expression", "math_text": "-36 + (-95) - 0 * (72 - (3 + (-6)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* n (- n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -95, \"c\": 0, \"d\": 72, \"e\": 3, \"f\": -6}", "seed": "16215674069088709382", "semantic_fingerprint": "sha256:53aca3d0e974b28b72ebf9e6e540763eb0538bf164ffe811820aecd8faa58925", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005819", "prompt": "Solve the equation 12(x + 6) - 46 = x + 180 for x.", "solution_steps": ["Expand: 12x + 72 - 46 = x + 180", "Combine constants: 12x + 26 = x + 180", "Subtract x from both sides: 11x + 26 = 180", "Subtract 26 from both sides: 11x = 154", "Divide both sides by 11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 6) - 46 = x + 180", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 46, \"e\": 180, \"x\": 14}", "seed": "14319364634423706891", "semantic_fingerprint": "sha256:9bc8f49524e50abe7d60a247b1fbfd2e04d5981bc5f341771e0f9ea42cb950cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005820", "prompt": "Solve the equation 5(x + 13) - 6 = x + 96 for x.", "solution_steps": ["Expand: 5x + 65 - 6 = x + 96", "Combine constants: 5x + 59 = x + 96", "Subtract x from both sides: 4x + 59 = 96", "Subtract 59 from both sides: 4x = 37", "Divide both sides by 4: x = 37/4"], "final_answer": "37/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 13) - 6 = x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 13, \"c\": 6, \"d\": 96}", "seed": "15037209745461930866", "semantic_fingerprint": "sha256:3edb71c64ec6a864531974956ecf8b90dfcaa98c652425478351f412e765f8cf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005821", "prompt": "Compute: -60 * 54 / (135 + (-28)) - (-2)", "solution_steps": ["Multiply: -60 * 54 = -3240", "Add: 135 + (-28) = 107", "Divide: -3240 / 107 = -3240/107", "Subtract: -3240/107 - (-2) = -3026/107"], "final_answer": "-3026/107", "answer_type": "rational", "kind": "expression", "math_text": "-60 * 54 / (135 + (-28)) - (-2)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 54, \"c\": 135, \"d\": -28, \"e\": -2}", "seed": "1383663083714267596", "semantic_fingerprint": "sha256:f2743e673d0a1936a798e2e90c24d9cbb87081e6659ba3490cd4136b93289e1b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005822", "prompt": "What value of x satisfies -4x = -2(x + 1) - 14?", "solution_steps": ["Expand: -4x = -2x - 2 - 14", "Combine constants: -4x = -2x - 16", "Add 2x to both sides: -2x = -16", "Divide both sides by -2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = -2(x + 1) - 14", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -2, \"c\": 1, \"e\": -14, \"x\": 8}", "seed": "5293385551072857881", "semantic_fingerprint": "sha256:cb766c6c6f5d4c22d8384ae31eb14be1eb473fb135a1b6e170d9dc2633476dae", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005823", "prompt": "Find x: 11x - 33 = -6(x - 3)", "solution_steps": ["Expand: 11x - 33 = -6x + 18", "Add 6x to both sides: 17x - 33 = 18", "Add 33 to both sides: 17x = 51", "Divide both sides by 17: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 33 = -6(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -6, \"c\": 3, \"e\": -33, \"x\": 3}", "seed": "101754620924711194", "semantic_fingerprint": "sha256:a87ee4790f5cbdf61a973bb564796b0812742613a41601114089c0857cae71a9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005824", "prompt": "Find x: -3x = 10(x + 74) - 654", "solution_steps": ["Expand: -3x = 10x + 740 - 654", "Combine constants: -3x = 10x + 86", "Subtract 10x from both sides: -13x = 86", "Divide both sides by -13: x = -86/13"], "final_answer": "-86/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x = 10(x + 74) - 654", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 10, \"c\": 74, \"d\": 654}", "seed": "4947184396333863284", "semantic_fingerprint": "sha256:ae7ca863ff8f1c572169ac9b361181b27a28224d33515c0209988abe09c23439", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005825", "prompt": "Calculate: -379 - (-5) / (-30 / (14 + (-4)))", "solution_steps": ["Add: 14 + (-4) = 10", "Divide: -30 / 10 = -3", "Divide: -5 / (-3) = 5/3", "Subtract: -379 - 5/3 = -1142/3"], "final_answer": "-1142/3", "answer_type": "rational", "kind": "expression", "math_text": "-379 - (-5) / (-30 / (14 + (-4)))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -379, \"b\": -5, \"c\": -30, \"d\": 14, \"e\": -4}", "seed": "13691840471472346196", "semantic_fingerprint": "sha256:aa93eeda7aa637e15ec6616c26e6f681cef6f41c337f7f1d63950447a69dfe35", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005826", "prompt": "Calculate: 750 + (-79) + (-5) * (6 + 49)", "solution_steps": ["Add: 750 + (-79) = 671", "Add: 6 + 49 = 55", "Multiply: -5 * 55 = -275", "Add: 671 + (-275) = 396"], "final_answer": "396", "answer_type": "integer", "kind": "expression", "math_text": "750 + (-79) + (-5) * (6 + 49)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 750, \"b\": -79, \"c\": -5, \"d\": 6, \"e\": 49}", "seed": "10171037603552909174", "semantic_fingerprint": "sha256:3fd934f13f228e56f7af701d240be47fc184b6c33642d4e47f05a26cdee8a4df", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005827", "prompt": "What value of x satisfies 12(x + 9) - 12 = x + 388?", "solution_steps": ["Expand: 12x + 108 - 12 = x + 388", "Combine constants: 12x + 96 = x + 388", "Subtract x from both sides: 11x + 96 = 388", "Subtract 96 from both sides: 11x = 292", "Divide both sides by 11: x = 292/11"], "final_answer": "292/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 9) - 12 = x + 388", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 12, \"d\": 388}", "seed": "5244297471563437879", "semantic_fingerprint": "sha256:433a290a73ee81a33b3ca8bfe614dac183ba295e885a0d2e1ae384aacf84e186", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005828", "prompt": "What is (76 - (784 + 2)) * (-7)?", "solution_steps": ["Add: 784 + 2 = 786", "Subtract: 76 - 786 = -710", "Multiply: -710 * (-7) = 4970"], "final_answer": "4970", "answer_type": "integer", "kind": "expression", "math_text": "(76 - (784 + 2)) * (-7)", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 784, \"c\": 2, \"d\": -7}", "seed": "1215355557855813338", "semantic_fingerprint": "sha256:76235ac754bd9d970413838654392b7dec90602d905917597f870f29a73ea20e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005829", "prompt": "Solve the equation 8x - 2 = 5(x - 191) for x.", "solution_steps": ["Expand: 8x - 2 = 5x - 955", "Subtract 5x from both sides: 3x - 2 = -955", "Add 2 to both sides: 3x = -953", "Divide both sides by 3: x = -953/3"], "final_answer": "-953/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 2 = 5(x - 191)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 5, \"d\": 191}", "seed": "1937068788762751501", "semantic_fingerprint": "sha256:8081998b193ecbf24913313fc7e791cd1e21b727e36875f251ccece130ede66d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005830", "prompt": "Solve for x: 12(x + 6) = -7(x - 8) + 16", "solution_steps": ["Expand: 12x + 72 = -7(x - 8) + 16", "Expand: 12x + 72 = -7x + 56 + 16", "Combine constants: 12x + 72 = -7x + 72", "Add 7x to both sides: 19x + 72 = 72", "Subtract 72 from both sides: 19x = 0", "Divide both sides by 19: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 6) = -7(x - 8) + 16", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": -7, \"d\": 8, \"f\": 16, \"x\": 0}", "seed": "3824421288274123554", "semantic_fingerprint": "sha256:a453f1f772e568a913139dc113204946a16c24201246f2816a00af8b71940c1a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005831", "prompt": "What is (3 * (-60) + (-73 + (-8))) / 1 + (-10)?", "solution_steps": ["Multiply: 3 * (-60) = -180", "Add: -73 + (-8) = -81", "Add: -180 + (-81) = -261", "Divide: -261 / 1 = -261", "Add: -261 + (-10) = -271"], "final_answer": "-271", "answer_type": "integer", "kind": "expression", "math_text": "(3 * (-60) + (-73 + (-8))) / 1 + (-10)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ (* n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -60, \"c\": -73, \"d\": -8, \"e\": 1, \"f\": -10}", "seed": "3999232166089713727", "semantic_fingerprint": "sha256:417abcb4e33d20401a4646eb0c32932733145367a8b294ebcdbef5321b1926e7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005832", "prompt": "Solve for x: 6x - 7 = 9(x - 6)", "solution_steps": ["Expand: 6x - 7 = 9x - 54", "Subtract 9x from both sides: -3x - 7 = -54", "Add 7 to both sides: -3x = -47", "Divide both sides by -3: x = 47/3"], "final_answer": "47/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 7 = 9(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 9, \"d\": 6}", "seed": "15526483232607411739", "semantic_fingerprint": "sha256:b057604500099461fb85e2b6db727b5dad8a703e7ce6706a12a2affa105fd723", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005833", "prompt": "What is -68 * (-5 / (-2)) * (-19 - 89)?", "solution_steps": ["Divide: -5 / (-2) = 5/2", "Multiply: -68 * (5/2) = -170", "Subtract: -19 - 89 = -108", "Multiply: -170 * (-108) = 18360"], "final_answer": "18360", "answer_type": "integer", "kind": "expression", "math_text": "-68 * (-5 / (-2)) * (-19 - 89)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -5, \"c\": -2, \"d\": -19, \"e\": 89}", "seed": "1211334166415103843", "semantic_fingerprint": "sha256:800c0b523076ab203e15080b8ffc33b0923de03c29e145a482c0ee07c6df2d84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005834", "prompt": "What value of x satisfies 7(x - 88) + 142 = 4(x + 1)?", "solution_steps": ["Expand: 7x - 616 + 142 = 4(x + 1)", "Expand: 7x - 616 + 142 = 4x + 4", "Combine constants: 7x - 474 = 4x + 4", "Subtract 4x from both sides: 3x - 474 = 4", "Add 474 to both sides: 3x = 478", "Divide both sides by 3: x = 478/3"], "final_answer": "478/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 88) + 142 = 4(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 88, \"c\": 142, \"d\": 4, \"e\": 1}", "seed": "15231966487646296882", "semantic_fingerprint": "sha256:c0f70a1271e02483e04bacd8d8bcd4e2a85469e3d2a7053ab55e08f11f098b19", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005835", "prompt": "Evaluate: 33 * (51 * (-6 * (0 / (-8)) - 204))", "solution_steps": ["Divide: 0 / (-8) = 0", "Multiply: -6 * 0 = 0", "Subtract: 0 - 204 = -204", "Multiply: 51 * (-204) = -10404", "Multiply: 33 * (-10404) = -343332"], "final_answer": "-343332", "answer_type": "integer", "kind": "expression", "math_text": "33 * (51 * (-6 * (0 / (-8)) - 204))", "variable": null, "family": "expression_5op", "shape": "(* n (* n (- (* n (/ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 51, \"c\": -6, \"d\": 0, \"e\": -8, \"f\": 204}", "seed": "1507272102436318158", "semantic_fingerprint": "sha256:b50f107cd355c5e58d5133042293b85d0e97425c6436c6519a47dbb047527546", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005836", "prompt": "Calculate: -9 * 67 * (0 / 6)", "solution_steps": ["Multiply: -9 * 67 = -603", "Divide: 0 / 6 = 0", "Multiply: -603 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 67 * (0 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 67, \"c\": 0, \"d\": 6}", "seed": "5059526311082605685", "semantic_fingerprint": "sha256:19795190211858606612bb0ccb84fc8ccabc4b4a383dd9bb3a2ecefcdd06964e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005837", "prompt": "Evaluate: -8 + 68 + 339 * (-81 + 18)", "solution_steps": ["Add: -8 + 68 = 60", "Add: -81 + 18 = -63", "Multiply: 339 * (-63) = -21357", "Add: 60 + (-21357) = -21297"], "final_answer": "-21297", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 68 + 339 * (-81 + 18)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 68, \"c\": 339, \"d\": -81, \"e\": 18}", "seed": "9323126990262532095", "semantic_fingerprint": "sha256:bf8358c05e9e7d5bda5ddff1b9011e516ac4fe8d1ceecc72e0e696900db6ca0e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005838", "prompt": "What is -43 * 98 + (-33) * (-78)?", "solution_steps": ["Multiply: -43 * 98 = -4214", "Multiply: -33 * (-78) = 2574", "Add: -4214 + 2574 = -1640"], "final_answer": "-1640", "answer_type": "integer", "kind": "expression", "math_text": "-43 * 98 + (-33) * (-78)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 98, \"c\": -33, \"d\": -78}", "seed": "8475774044136410971", "semantic_fingerprint": "sha256:80c10699cca9a834365112bb39ed323ff574cc92b0fd8012bb3d0016bdea861e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005839", "prompt": "Compute: 1 * (-702) - 3 * (-8 - 7) + 76", "solution_steps": ["Multiply: 1 * (-702) = -702", "Subtract: -8 - 7 = -15", "Multiply: 3 * (-15) = -45", "Subtract: -702 - (-45) = -657", "Add: -657 + 76 = -581"], "final_answer": "-581", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-702) - 3 * (-8 - 7) + 76", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) (* n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -702, \"c\": 3, \"d\": -8, \"e\": 7, \"f\": 76}", "seed": "10715191609403986069", "semantic_fingerprint": "sha256:4fd94d6b63601f981ca992bd5a82e060fa3016284c0a96aaf82eeae51060347b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005840", "prompt": "Solve for x: -11(x - 16) - 8 = x + 68", "solution_steps": ["Expand: -11x + 176 - 8 = x + 68", "Combine constants: -11x + 168 = x + 68", "Subtract x from both sides: -12x + 168 = 68", "Subtract 168 from both sides: -12x = -100", "Divide both sides by -12: x = 25/3"], "final_answer": "25/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 16) - 8 = x + 68", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 16, \"c\": 8, \"d\": 68}", "seed": "13166988831545167275", "semantic_fingerprint": "sha256:37592d1ae891828dd30829ff3b98822191afe648bb1892be6f0f334132573ff1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005841", "prompt": "Calculate: (74 - (-538 + 0)) * 5", "solution_steps": ["Add: -538 + 0 = -538", "Subtract: 74 - (-538) = 612", "Multiply: 612 * 5 = 3060"], "final_answer": "3060", "answer_type": "integer", "kind": "expression", "math_text": "(74 - (-538 + 0)) * 5", "variable": null, "family": "expression_3op", "shape": "(* (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -538, \"c\": 0, \"d\": 5}", "seed": "12684089829900312513", "semantic_fingerprint": "sha256:94fba8159980b661e03e55fb9b63927c244a6180acb5d19488c3bbec474c5d01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005842", "prompt": "Compute: 732 / (-58 - 0) - (4 - (-75))", "solution_steps": ["Subtract: -58 - 0 = -58", "Divide: 732 / (-58) = -366/29", "Subtract: 4 - (-75) = 79", "Subtract: -366/29 - 79 = -2657/29"], "final_answer": "-2657/29", "answer_type": "rational", "kind": "expression", "math_text": "732 / (-58 - 0) - (4 - (-75))", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 732, \"b\": -58, \"c\": 0, \"d\": 4, \"e\": -75}", "seed": "5765663934015978266", "semantic_fingerprint": "sha256:746707bde9584f6bb6dfd5a878da0af9d7dd9a41dba3a32aee81ac02f0b3b6b7", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005843", "prompt": "Calculate: 3 - (-18 - (15 + (-2) * 105))", "solution_steps": ["Multiply: -2 * 105 = -210", "Add: 15 + (-210) = -195", "Subtract: -18 - (-195) = 177", "Subtract: 3 - 177 = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-18 - (15 + (-2) * 105))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -18, \"c\": 15, \"d\": -2, \"e\": 105}", "seed": "12186156964600502186", "semantic_fingerprint": "sha256:c2dcac4f93ecde7a81081367065d3f2bf04c96ee09eb9922bc077f0d1155c72d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005844", "prompt": "Solve the equation 6(x + 5) = 2(x - 385) + 868 for x.", "solution_steps": ["Expand: 6x + 30 = 2(x - 385) + 868", "Expand: 6x + 30 = 2x - 770 + 868", "Combine constants: 6x + 30 = 2x + 98", "Subtract 2x from both sides: 4x + 30 = 98", "Subtract 30 from both sides: 4x = 68", "Divide both sides by 4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) = 2(x - 385) + 868", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 2, \"d\": 385, \"f\": 868, \"x\": 17}", "seed": "1136187199629413808", "semantic_fingerprint": "sha256:f39c057d3fb56f09f1386fbe73ba018edc011f885f72098c78e9992488b7659e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005845", "prompt": "What is 3 / 3 - (-78) / (-3 + (-201) + 54)?", "solution_steps": ["Divide: 3 / 3 = 1", "Add: -3 + (-201) = -204", "Add: -204 + 54 = -150", "Divide: -78 / (-150) = 13/25", "Subtract: 1 - 13/25 = 12/25"], "final_answer": "12/25", "answer_type": "rational", "kind": "expression", "math_text": "3 / 3 - (-78) / (-3 + (-201) + 54)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (/ n (+ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": -78, \"d\": -3, \"e\": -201, \"f\": 54}", "seed": "13342361088313767679", "semantic_fingerprint": "sha256:9c3560ae8cfb5127f177823672cbc50963103be9e1503d930349cd733a923590", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005846", "prompt": "Evaluate: (-51 + (-669 - 6)) * (24 - 9)", "solution_steps": ["Subtract: -669 - 6 = -675", "Add: -51 + (-675) = -726", "Subtract: 24 - 9 = 15", "Multiply: -726 * 15 = -10890"], "final_answer": "-10890", "answer_type": "integer", "kind": "expression", "math_text": "(-51 + (-669 - 6)) * (24 - 9)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -669, \"c\": 6, \"d\": 24, \"e\": 9}", "seed": "255464538401898036", "semantic_fingerprint": "sha256:c59c79ea68df961c67f20964462878685c79d3230475d07568f62c3644c34404", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005847", "prompt": "Find x: -8(x - 56) + 789 = 5(x + 263)", "solution_steps": ["Expand: -8x + 448 + 789 = 5(x + 263)", "Expand: -8x + 448 + 789 = 5x + 1315", "Combine constants: -8x + 1237 = 5x + 1315", "Subtract 5x from both sides: -13x + 1237 = 1315", "Subtract 1237 from both sides: -13x = 78", "Divide both sides by -13: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 56) + 789 = 5(x + 263)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 56, \"c\": 5, \"d\": 263, \"f\": 789, \"x\": -6}", "seed": "11100775919268687265", "semantic_fingerprint": "sha256:d20ea49b796592e22a37650458241fa539ed14c51fddec3cb09146469902a009", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005848", "prompt": "Calculate: 69 / (-54 * (-8 + 74))", "solution_steps": ["Add: -8 + 74 = 66", "Multiply: -54 * 66 = -3564", "Divide: 69 / (-3564) = -23/1188"], "final_answer": "-23/1188", "answer_type": "rational", "kind": "expression", "math_text": "69 / (-54 * (-8 + 74))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -54, \"c\": -8, \"d\": 74}", "seed": "10330868503784830544", "semantic_fingerprint": "sha256:8cd8d83c216352dd884582339ca37e186898b9c12c2434ea156149e4bd07adfc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005849", "prompt": "Find x: -12(x + 88) + 58 = x + 333", "solution_steps": ["Expand: -12x - 1056 + 58 = x + 333", "Combine constants: -12x - 998 = x + 333", "Subtract x from both sides: -13x - 998 = 333", "Add 998 to both sides: -13x = 1331", "Divide both sides by -13: x = -1331/13"], "final_answer": "-1331/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 88) + 58 = x + 333", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 88, \"c\": 58, \"d\": 333}", "seed": "2627428984735602267", "semantic_fingerprint": "sha256:eb0ca31e3384644478fd5d51880426061f29d382958762b3656d72913b5c0dd5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005850", "prompt": "Compute: 18 * (-8 * (-10) / (-78) - 45)", "solution_steps": ["Multiply: -8 * (-10) = 80", "Divide: 80 / (-78) = -40/39", "Subtract: -40/39 - 45 = -1795/39", "Multiply: 18 * (-1795/39) = -10770/13"], "final_answer": "-10770/13", "answer_type": "rational", "kind": "expression", "math_text": "18 * (-8 * (-10) / (-78) - 45)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -8, \"c\": -10, \"d\": -78, \"e\": 45}", "seed": "10392393689430879647", "semantic_fingerprint": "sha256:808d3be7cd7051861844a7eb85dc974b77e65638b359e48f37849c3a1e6e86c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005851", "prompt": "Evaluate: (186 - (-680 + (-931))) * (8 + (-9))", "solution_steps": ["Add: -680 + (-931) = -1611", "Subtract: 186 - (-1611) = 1797", "Add: 8 + (-9) = -1", "Multiply: 1797 * (-1) = -1797"], "final_answer": "-1797", "answer_type": "integer", "kind": "expression", "math_text": "(186 - (-680 + (-931))) * (8 + (-9))", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 186, \"b\": -680, \"c\": -931, \"d\": 8, \"e\": -9}", "seed": "1644359862123693835", "semantic_fingerprint": "sha256:41f74b7371b5a0dfb0fdccf53fe780d41aa10734f9ccf776d2fb297ec500706d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005852", "prompt": "Solve for x: 4(x - 65) + 70 = -3(x + 90)", "solution_steps": ["Expand: 4x - 260 + 70 = -3(x + 90)", "Expand: 4x - 260 + 70 = -3x - 270", "Combine constants: 4x - 190 = -3x - 270", "Add 3x to both sides: 7x - 190 = -270", "Add 190 to both sides: 7x = -80", "Divide both sides by 7: x = -80/7"], "final_answer": "-80/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 65) + 70 = -3(x + 90)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 65, \"c\": 70, \"d\": -3, \"e\": 90}", "seed": "16694771892949867559", "semantic_fingerprint": "sha256:66297c4777d5b91edec52ca6698406d6c31c137c7bcfddb009faf8c9a6f126c2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005853", "prompt": "Calculate: 35 / (-6 * (3 + 8))", "solution_steps": ["Add: 3 + 8 = 11", "Multiply: -6 * 11 = -66", "Divide: 35 / (-66) = -35/66"], "final_answer": "-35/66", "answer_type": "rational", "kind": "expression", "math_text": "35 / (-6 * (3 + 8))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -6, \"c\": 3, \"d\": 8}", "seed": "12052268527487305262", "semantic_fingerprint": "sha256:7b9a3a88abe685817cd32394ca36ee1425c887bcd901f27ea5c357e7a65055fa", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005854", "prompt": "Solve for x: 8(x + 59) = 10(x - 9) + 530", "solution_steps": ["Expand: 8x + 472 = 10(x - 9) + 530", "Expand: 8x + 472 = 10x - 90 + 530", "Combine constants: 8x + 472 = 10x + 440", "Subtract 10x from both sides: -2x + 472 = 440", "Subtract 472 from both sides: -2x = -32", "Divide both sides by -2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 59) = 10(x - 9) + 530", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 59, \"c\": 10, \"d\": 9, \"f\": 530, \"x\": 16}", "seed": "14830848401154751229", "semantic_fingerprint": "sha256:b05f8fdb311d641b7a48bf124852fb9d8bc5e3b890c4198d21116186d989ad2e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005855", "prompt": "Compute: -9 * 8 + (-7) * (-112)", "solution_steps": ["Multiply: -9 * 8 = -72", "Multiply: -7 * (-112) = 784", "Add: -72 + 784 = 712"], "final_answer": "712", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 8 + (-7) * (-112)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": -7, \"d\": -112}", "seed": "16694451188022004998", "semantic_fingerprint": "sha256:0f55797f627d845e9ac83302cb9726626b96f702545dea76d15d819ed1040df6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005856", "prompt": "Solve the equation -11(x - 4) + 33 = -4(x + 7) for x.", "solution_steps": ["Expand: -11x + 44 + 33 = -4(x + 7)", "Expand: -11x + 44 + 33 = -4x - 28", "Combine constants: -11x + 77 = -4x - 28", "Add 4x to both sides: -7x + 77 = -28", "Subtract 77 from both sides: -7x = -105", "Divide both sides by -7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 4) + 33 = -4(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": -4, \"d\": 7, \"f\": 33, \"x\": 15}", "seed": "7642784325542483062", "semantic_fingerprint": "sha256:866438eda57df8e3bcc29daa6f497cef75f05d45f84a7cc6e3dfd8dffae6d7b3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005857", "prompt": "Compute: (-2 + 2) / (11 + 311)", "solution_steps": ["Add: -2 + 2 = 0", "Add: 11 + 311 = 322", "Divide: 0 / 322 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + 2) / (11 + 311)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 11, \"d\": 311}", "seed": "18402030384292807084", "semantic_fingerprint": "sha256:1a5c41e26754a39f71aed8119e1a5a8346e87f52f6630b93161df647522f5343", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005858", "prompt": "Evaluate: (-91 - (-8) * 4) / 7", "solution_steps": ["Multiply: -8 * 4 = -32", "Subtract: -91 - (-32) = -59", "Divide: -59 / 7 = -59/7"], "final_answer": "-59/7", "answer_type": "rational", "kind": "expression", "math_text": "(-91 - (-8) * 4) / 7", "variable": null, "family": "expression_3op", "shape": "(/ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -8, \"c\": 4, \"d\": 7}", "seed": "2365537119140021965", "semantic_fingerprint": "sha256:3ebdd30afe9d252e6d09de38a95aaf52ebeb3276772bfeb4fe439ca5eda2371c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005859", "prompt": "What is 39 * 8 + (-28) / (-60 - (-74))?", "solution_steps": ["Multiply: 39 * 8 = 312", "Subtract: -60 - (-74) = 14", "Divide: -28 / 14 = -2", "Add: 312 + (-2) = 310"], "final_answer": "310", "answer_type": "integer", "kind": "expression", "math_text": "39 * 8 + (-28) / (-60 - (-74))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 8, \"c\": -28, \"d\": -60, \"e\": -74}", "seed": "13495396656853395131", "semantic_fingerprint": "sha256:b5853c50d419eb345d7b68062f02ecd79229e6029c1227efe353eedae280ca0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005860", "prompt": "Find x: -12x = -7(x + 29) + 138", "solution_steps": ["Expand: -12x = -7x - 203 + 138", "Combine constants: -12x = -7x - 65", "Add 7x to both sides: -5x = -65", "Divide both sides by -5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = -7(x + 29) + 138", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -7, \"c\": 29, \"e\": 138, \"x\": 13}", "seed": "12803888512398147485", "semantic_fingerprint": "sha256:8b2b9dc5c6a51ea17ef75ccaad33eaf62e31518530cbc7e2cca614ee0d7348fe", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005861", "prompt": "Calculate: 1 * (-75 / (-45 / 39)) / 764", "solution_steps": ["Divide: -45 / 39 = -15/13", "Divide: -75 / (-15/13) = 65", "Multiply: 1 * 65 = 65", "Divide: 65 / 764 = 65/764"], "final_answer": "65/764", "answer_type": "rational", "kind": "expression", "math_text": "1 * (-75 / (-45 / 39)) / 764", "variable": null, "family": "expression_4op", "shape": "(/ (* n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -75, \"c\": -45, \"d\": 39, \"e\": 764}", "seed": "17102276866922960319", "semantic_fingerprint": "sha256:530f0515e60df1e314b0cdc1748f1b44319ee1f53038c24041d179d9c2fdb289", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005862", "prompt": "Solve for x: 2x - 155 = 11(x - 1)", "solution_steps": ["Expand: 2x - 155 = 11x - 11", "Subtract 11x from both sides: -9x - 155 = -11", "Add 155 to both sides: -9x = 144", "Divide both sides by -9: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 155 = 11(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 11, \"c\": 1, \"e\": -155, \"x\": -16}", "seed": "17841495808727611538", "semantic_fingerprint": "sha256:28d683a014ff03fed7c36238192ffa1b36b408aca2b2d21850a245d32bfaae1e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005863", "prompt": "Solve the equation -7x = 9(x + 81) - 921 for x.", "solution_steps": ["Expand: -7x = 9x + 729 - 921", "Combine constants: -7x = 9x - 192", "Subtract 9x from both sides: -16x = -192", "Divide both sides by -16: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 9(x + 81) - 921", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 81, \"e\": -921, \"x\": 12}", "seed": "6269188616422697427", "semantic_fingerprint": "sha256:ef66491ce440b3a6385b820a9810d6c57ebdf52f94902fe735d56cc3adb4e7ca", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005864", "prompt": "What value of x satisfies -2(x - 4) - 14 = x + 837?", "solution_steps": ["Expand: -2x + 8 - 14 = x + 837", "Combine constants: -2x - 6 = x + 837", "Subtract x from both sides: -3x - 6 = 837", "Add 6 to both sides: -3x = 843", "Divide both sides by -3: x = -281"], "final_answer": "-281", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 4) - 14 = x + 837", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 14, \"d\": 837}", "seed": "16447523245705294820", "semantic_fingerprint": "sha256:dc60a5d61cd67bd6acff15f05e9ad1cad1ca97b1d89dd3de08908be990c63dfb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005865", "prompt": "Solve for x: -12x = 3(x + 45) + 46", "solution_steps": ["Expand: -12x = 3x + 135 + 46", "Combine constants: -12x = 3x + 181", "Subtract 3x from both sides: -15x = 181", "Divide both sides by -15: x = -181/15"], "final_answer": "-181/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 3(x + 45) + 46", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 45, \"d\": 46}", "seed": "7088039587637157425", "semantic_fingerprint": "sha256:9e50675a1b9dcb04295da6826ddf764f9ab0605f5eb459064442c2ef58ec6eb4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005866", "prompt": "Evaluate: -6 * (-431 + 207 + (-5)) - 2", "solution_steps": ["Add: -431 + 207 = -224", "Add: -224 + (-5) = -229", "Multiply: -6 * (-229) = 1374", "Subtract: 1374 - 2 = 1372"], "final_answer": "1372", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-431 + 207 + (-5)) - 2", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -431, \"c\": 207, \"d\": -5, \"e\": 2}", "seed": "15756547920097135430", "semantic_fingerprint": "sha256:16731db861291765a52e1fc837eaa4b18fb6deb875a2e162d8c7b3450d0309f6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005867", "prompt": "Calculate: -39 - 876 * (-63) + (-6) * (-419)", "solution_steps": ["Multiply: 876 * (-63) = -55188", "Subtract: -39 - (-55188) = 55149", "Multiply: -6 * (-419) = 2514", "Add: 55149 + 2514 = 57663"], "final_answer": "57663", "answer_type": "integer", "kind": "expression", "math_text": "-39 - 876 * (-63) + (-6) * (-419)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 876, \"c\": -63, \"d\": -6, \"e\": -419}", "seed": "7194756972442750568", "semantic_fingerprint": "sha256:c042b2bd73cecd792c0631b96713b2c6c86ac44e15a5ef29a61280af5d1193e9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005868", "prompt": "Calculate: -7 - 55 * (1 / (-823)) * 404", "solution_steps": ["Divide: 1 / (-823) = -1/823", "Multiply: 55 * (-1/823) = -55/823", "Multiply: (-55/823) * 404 = -22220/823", "Subtract: -7 - (-22220/823) = 16459/823"], "final_answer": "16459/823", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 55 * (1 / (-823)) * 404", "variable": null, "family": "expression_4op", "shape": "(- n (* (* n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 55, \"c\": 1, \"d\": -823, \"e\": 404}", "seed": "8655446261284293516", "semantic_fingerprint": "sha256:099a426ff57283db8eda550529a504ee51b976b8cb84da73f9f635f84216ddc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005869", "prompt": "Compute: -838 + (-83 + (-648) + (-885) - 3 * (-209))", "solution_steps": ["Add: -83 + (-648) = -731", "Add: -731 + (-885) = -1616", "Multiply: 3 * (-209) = -627", "Subtract: -1616 - (-627) = -989", "Add: -838 + (-989) = -1827"], "final_answer": "-1827", "answer_type": "integer", "kind": "expression", "math_text": "-838 + (-83 + (-648) + (-885) - 3 * (-209))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ (+ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -838, \"b\": -83, \"c\": -648, \"d\": -885, \"e\": 3, \"f\": -209}", "seed": "13536196332711381476", "semantic_fingerprint": "sha256:0d1a58a2f880044ba137c880d6c17041b28000e419d7cba20956fec584ec9252", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005870", "prompt": "Find x: 12x - 398 = 4(x - 899)", "solution_steps": ["Expand: 12x - 398 = 4x - 3596", "Subtract 4x from both sides: 8x - 398 = -3596", "Add 398 to both sides: 8x = -3198", "Divide both sides by 8: x = -1599/4"], "final_answer": "-1599/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 398 = 4(x - 899)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 398, \"c\": 4, \"d\": 899}", "seed": "8535928099397400841", "semantic_fingerprint": "sha256:e28f338d96a670ff4b1d7d9cf4553b2c3bb8ea97ecd48de9aa8bde3a3f3ab00b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005871", "prompt": "Evaluate: -93 + (-98) + 162 / 59 - 362", "solution_steps": ["Add: -93 + (-98) = -191", "Divide: 162 / 59 = 162/59", "Add: -191 + 162/59 = -11107/59", "Subtract: -11107/59 - 362 = -32465/59"], "final_answer": "-32465/59", "answer_type": "rational", "kind": "expression", "math_text": "-93 + (-98) + 162 / 59 - 362", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -98, \"c\": 162, \"d\": 59, \"e\": 362}", "seed": "15297698351388558197", "semantic_fingerprint": "sha256:4759939f49c622b1592b0e57ff9d94d11742de058fb1540eccc09f9ccad18f1c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005872", "prompt": "Solve the equation -12x = 8(x + 95) + 848 for x.", "solution_steps": ["Expand: -12x = 8x + 760 + 848", "Combine constants: -12x = 8x + 1608", "Subtract 8x from both sides: -20x = 1608", "Divide both sides by -20: x = -402/5"], "final_answer": "-402/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 8(x + 95) + 848", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"c\": 95, \"d\": 848}", "seed": "13902961754778768919", "semantic_fingerprint": "sha256:9f7532f65d0f94fe3fe2b611b63cb67d610c6df41feb8a2b24a3d705a70df336", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005873", "prompt": "Compute: (-9 + (-1 + (-1))) / (-513) + 84", "solution_steps": ["Add: -1 + (-1) = -2", "Add: -9 + (-2) = -11", "Divide: -11 / (-513) = 11/513", "Add: 11/513 + 84 = 43103/513"], "final_answer": "43103/513", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-1 + (-1))) / (-513) + 84", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": -1, \"d\": -513, \"e\": 84}", "seed": "3635583338172723607", "semantic_fingerprint": "sha256:cd047b6a63600f91c99b3be9ee70594e91add67026a34e10416b8f4fc242e91b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005874", "prompt": "Compute: 0 * (-4 * 14) + (-8 - 526 + 5)", "solution_steps": ["Multiply: -4 * 14 = -56", "Multiply: 0 * (-56) = 0", "Subtract: -8 - 526 = -534", "Add: -534 + 5 = -529", "Add: 0 + (-529) = -529"], "final_answer": "-529", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-4 * 14) + (-8 - 526 + 5)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": 14, \"d\": -8, \"e\": 526, \"f\": 5}", "seed": "15742834564766727680", "semantic_fingerprint": "sha256:7b56dd5055409fb2afb05466a2cbb2967350918c596ea444d0bb3658f02c0a03", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005875", "prompt": "Calculate: (-7 + (-267 + (9 + 6))) / 29", "solution_steps": ["Add: 9 + 6 = 15", "Add: -267 + 15 = -252", "Add: -7 + (-252) = -259", "Divide: -259 / 29 = -259/29"], "final_answer": "-259/29", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + (-267 + (9 + 6))) / 29", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -267, \"c\": 9, \"d\": 6, \"e\": 29}", "seed": "3864085268629931709", "semantic_fingerprint": "sha256:4c0bd78309090769a7410184c5362939b1d41af0f98ca6f606777a11927861f8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005876", "prompt": "Solve for x: -5(x - 7) + 955 = 10(x + 90)", "solution_steps": ["Expand: -5x + 35 + 955 = 10(x + 90)", "Expand: -5x + 35 + 955 = 10x + 900", "Combine constants: -5x + 990 = 10x + 900", "Subtract 10x from both sides: -15x + 990 = 900", "Subtract 990 from both sides: -15x = -90", "Divide both sides by -15: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 7) + 955 = 10(x + 90)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 10, \"d\": 90, \"f\": 955, \"x\": 6}", "seed": "7448663268730175199", "semantic_fingerprint": "sha256:4d5935cb5fbbe63caac20c17c2c53e319f66bd59da7e6267eb68545da237200d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005877", "prompt": "What is -93 + 34 - (-54 - (-300 - (-310)))?", "solution_steps": ["Add: -93 + 34 = -59", "Subtract: -300 - (-310) = 10", "Subtract: -54 - 10 = -64", "Subtract: -59 - (-64) = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "-93 + 34 - (-54 - (-300 - (-310)))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 34, \"c\": -54, \"d\": -300, \"e\": -310}", "seed": "8899504850499871676", "semantic_fingerprint": "sha256:dbff2c25cca41198b789cda4f2bc9f11bfe3f080eb5969c2e350c6ec8b81784b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005878", "prompt": "Compute: -348 / (-4) / 594 + (-715) / (0 - (-142))", "solution_steps": ["Divide: -348 / (-4) = 87", "Divide: 87 / 594 = 29/198", "Subtract: 0 - (-142) = 142", "Divide: -715 / 142 = -715/142", "Add: 29/198 + (-715/142) = -34363/7029"], "final_answer": "-34363/7029", "answer_type": "rational", "kind": "expression", "math_text": "-348 / (-4) / 594 + (-715) / (0 - (-142))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -348, \"b\": -4, \"c\": 594, \"d\": -715, \"e\": 0, \"f\": -142}", "seed": "6214463995002672659", "semantic_fingerprint": "sha256:0742c815d454954cc228a685fa88f42bbe1b14f133e35ffc40493fd03438a362", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005879", "prompt": "What value of x satisfies 8(x - 2) + 88 = 3(x + 9)?", "solution_steps": ["Expand: 8x - 16 + 88 = 3(x + 9)", "Expand: 8x - 16 + 88 = 3x + 27", "Combine constants: 8x + 72 = 3x + 27", "Subtract 3x from both sides: 5x + 72 = 27", "Subtract 72 from both sides: 5x = -45", "Divide both sides by 5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 2) + 88 = 3(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 3, \"d\": 9, \"f\": 88, \"x\": -9}", "seed": "4451821911162454207", "semantic_fingerprint": "sha256:b761b8bf9879b4365f74952b599bd12dd871ab0985e5c88d5807754fe6224538", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005880", "prompt": "What value of x satisfies -7(x - 746) + 733 = 12(x + 482)?", "solution_steps": ["Expand: -7x + 5222 + 733 = 12(x + 482)", "Expand: -7x + 5222 + 733 = 12x + 5784", "Combine constants: -7x + 5955 = 12x + 5784", "Subtract 12x from both sides: -19x + 5955 = 5784", "Subtract 5955 from both sides: -19x = -171", "Divide both sides by -19: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 746) + 733 = 12(x + 482)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 746, \"c\": 12, \"d\": 482, \"f\": 733, \"x\": 9}", "seed": "4137485398779748883", "semantic_fingerprint": "sha256:89ed5217d96e66a20b1029c2826ee511cbfc5b0afe1ab9d293d7369dcc349108", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005881", "prompt": "Solve for x: 3x - 264 = 7(x - 48)", "solution_steps": ["Expand: 3x - 264 = 7x - 336", "Subtract 7x from both sides: -4x - 264 = -336", "Add 264 to both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 264 = 7(x - 48)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 48, \"e\": -264, \"x\": 18}", "seed": "9341196508184062278", "semantic_fingerprint": "sha256:3b9d98aa02429b1e773628ed0b328a1033f8a8de18ab26b6d6758356753fac23", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005882", "prompt": "What is 61 * (-6 / (-5) / 15 * 84)?", "solution_steps": ["Divide: -6 / (-5) = 6/5", "Divide: (6/5) / 15 = 2/25", "Multiply: (2/25) * 84 = 168/25", "Multiply: 61 * (168/25) = 10248/25"], "final_answer": "10248/25", "answer_type": "rational", "kind": "expression", "math_text": "61 * (-6 / (-5) / 15 * 84)", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -6, \"c\": -5, \"d\": 15, \"e\": 84}", "seed": "13069274483099730530", "semantic_fingerprint": "sha256:39cd6e6e5f69777f160f73210bc289f6835ebec16d8c38d4c929513631ee2508", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005883", "prompt": "Compute: -46 * (-8) + (-855) + (-3)", "solution_steps": ["Multiply: -46 * (-8) = 368", "Add: 368 + (-855) = -487", "Add: -487 + (-3) = -490"], "final_answer": "-490", "answer_type": "integer", "kind": "expression", "math_text": "-46 * (-8) + (-855) + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -8, \"c\": -855, \"d\": -3}", "seed": "12416957488717227231", "semantic_fingerprint": "sha256:7209355fec7a8627e4d315b7875f1280867397b9ad0ecc05466c185e13f7fdf1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005884", "prompt": "Evaluate: -326 * (-811) - 77 * (-7 / (-3))", "solution_steps": ["Multiply: -326 * (-811) = 264386", "Divide: -7 / (-3) = 7/3", "Multiply: 77 * (7/3) = 539/3", "Subtract: 264386 - 539/3 = 792619/3"], "final_answer": "792619/3", "answer_type": "rational", "kind": "expression", "math_text": "-326 * (-811) - 77 * (-7 / (-3))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -326, \"b\": -811, \"c\": 77, \"d\": -7, \"e\": -3}", "seed": "16484810624245692188", "semantic_fingerprint": "sha256:273773ebca8bd935d6b554e1251019bd622a50a2dedb99ae8d475096e003ec43", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005885", "prompt": "What is 27 * (-36 * 6) * (-2)?", "solution_steps": ["Multiply: -36 * 6 = -216", "Multiply: 27 * (-216) = -5832", "Multiply: -5832 * (-2) = 11664"], "final_answer": "11664", "answer_type": "integer", "kind": "expression", "math_text": "27 * (-36 * 6) * (-2)", "variable": null, "family": "expression_3op", "shape": "(* (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -36, \"c\": 6, \"d\": -2}", "seed": "8385224050559313999", "semantic_fingerprint": "sha256:69cf8a0e6e0da8ed6ed831f40c22f06aba9e7cb16652ee55f913f9567e761aef", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005886", "prompt": "What is (56 - 72) / ((-4 - 761) / (-74 / (-5)))?", "solution_steps": ["Subtract: 56 - 72 = -16", "Subtract: -4 - 761 = -765", "Divide: -74 / (-5) = 74/5", "Divide: -765 / (74/5) = -3825/74", "Divide: -16 / (-3825/74) = 1184/3825"], "final_answer": "1184/3825", "answer_type": "rational", "kind": "expression", "math_text": "(56 - 72) / ((-4 - 761) / (-74 / (-5)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 72, \"c\": -4, \"d\": 761, \"e\": -74, \"f\": -5}", "seed": "12000176826872354495", "semantic_fingerprint": "sha256:ea0294b2daa3f01179658b24bf514b1e2b68c6cfdeacb94fbb5a92c8819272fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005887", "prompt": "Compute: (-8 - 83 - (171 + (-87))) * (39 + (-3))", "solution_steps": ["Subtract: -8 - 83 = -91", "Add: 171 + (-87) = 84", "Subtract: -91 - 84 = -175", "Add: 39 + (-3) = 36", "Multiply: -175 * 36 = -6300"], "final_answer": "-6300", "answer_type": "integer", "kind": "expression", "math_text": "(-8 - 83 - (171 + (-87))) * (39 + (-3))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 83, \"c\": 171, \"d\": -87, \"e\": 39, \"f\": -3}", "seed": "12569156003560333968", "semantic_fingerprint": "sha256:0fe3a813372abb4b197da50fdebad9ad319fff4ad6f9c739fb86a3ac1d4e312d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005888", "prompt": "Solve the equation 5(x + 9) = 9(x - 98) + 967 for x.", "solution_steps": ["Expand: 5x + 45 = 9(x - 98) + 967", "Expand: 5x + 45 = 9x - 882 + 967", "Combine constants: 5x + 45 = 9x + 85", "Subtract 9x from both sides: -4x + 45 = 85", "Subtract 45 from both sides: -4x = 40", "Divide both sides by -4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 9) = 9(x - 98) + 967", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 9, \"d\": 98, \"f\": 967, \"x\": -10}", "seed": "3057202801444837267", "semantic_fingerprint": "sha256:56de4cc0b5b6a8f095780128208dae762e8512c013978b2b5dea3166cc8d3f3e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005889", "prompt": "What value of x satisfies 10x - 840 = 5x - 860?", "solution_steps": ["Subtract 5x from both sides: 5x - 840 = -860", "Add 840 to both sides: 5x = -20", "Divide both sides by 5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 840 = 5x - 860", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 840, \"c\": 5, \"e\": -860, \"x\": -4}", "seed": "6746282685056999064", "semantic_fingerprint": "sha256:b23660bd5540c17327b0507aef8e2cc3f1eb509e6ff92d5c13648288d873c0e0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005890", "prompt": "Evaluate: -62 * 4 + 722 / (41 + (5 - (-2)))", "solution_steps": ["Multiply: -62 * 4 = -248", "Subtract: 5 - (-2) = 7", "Add: 41 + 7 = 48", "Divide: 722 / 48 = 361/24", "Add: -248 + 361/24 = -5591/24"], "final_answer": "-5591/24", "answer_type": "rational", "kind": "expression", "math_text": "-62 * 4 + 722 / (41 + (5 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (/ n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 4, \"c\": 722, \"d\": 41, \"e\": 5, \"f\": -2}", "seed": "2115871762200635876", "semantic_fingerprint": "sha256:3a643a0c6cd1e1d8e3fc109be9025e51bc2559d7b9be4663285e364c6a6f5f72", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005891", "prompt": "Solve for x: 9x = 3(x + 89) - 351", "solution_steps": ["Expand: 9x = 3x + 267 - 351", "Combine constants: 9x = 3x - 84", "Subtract 3x from both sides: 6x = -84", "Divide both sides by 6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 3(x + 89) - 351", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 89, \"e\": -351, \"x\": -14}", "seed": "11010824093666223489", "semantic_fingerprint": "sha256:2206aefea602b424117ce7bbf18c02212d321227f71d2f0e2eead404781d6923", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005892", "prompt": "Calculate: -9 * 3 + (-73 - (-45))", "solution_steps": ["Multiply: -9 * 3 = -27", "Subtract: -73 - (-45) = -28", "Add: -27 + (-28) = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 3 + (-73 - (-45))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": -73, \"d\": -45}", "seed": "13577712384729873534", "semantic_fingerprint": "sha256:83718a63180210552729ce04d45b63b8d6d033760e0880781895ea2682722a08", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005893", "prompt": "Compute: 2 * ((-55 - 2) * (-733 + (-396)))", "solution_steps": ["Subtract: -55 - 2 = -57", "Add: -733 + (-396) = -1129", "Multiply: -57 * (-1129) = 64353", "Multiply: 2 * 64353 = 128706"], "final_answer": "128706", "answer_type": "integer", "kind": "expression", "math_text": "2 * ((-55 - 2) * (-733 + (-396)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -55, \"c\": 2, \"d\": -733, \"e\": -396}", "seed": "13036561474788119402", "semantic_fingerprint": "sha256:8aa38bc1a6fdced0d3c09d039af7fb23f40d36d12a50faeb880f65d24eea3eb2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005894", "prompt": "Calculate: (599 + 8) / (6 + 63)", "solution_steps": ["Add: 599 + 8 = 607", "Add: 6 + 63 = 69", "Divide: 607 / 69 = 607/69"], "final_answer": "607/69", "answer_type": "rational", "kind": "expression", "math_text": "(599 + 8) / (6 + 63)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 599, \"b\": 8, \"c\": 6, \"d\": 63}", "seed": "14911866072251597872", "semantic_fingerprint": "sha256:98a7feba8cc84ba57645746cfa1cdd706f1f6c46c06d62992e7847cd4b96983e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005895", "prompt": "What value of x satisfies 12(x + 9) - 5 = x + 158?", "solution_steps": ["Expand: 12x + 108 - 5 = x + 158", "Combine constants: 12x + 103 = x + 158", "Subtract x from both sides: 11x + 103 = 158", "Subtract 103 from both sides: 11x = 55", "Divide both sides by 11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 9) - 5 = x + 158", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 5, \"e\": 158, \"x\": 5}", "seed": "2913052447848061256", "semantic_fingerprint": "sha256:a9f85c8f6304973fb230fa3bcc149b98b16944b765ce636849314ee2dead3f20", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005896", "prompt": "Solve the equation -11(x + 6) - 16 = x + 61 for x.", "solution_steps": ["Expand: -11x - 66 - 16 = x + 61", "Combine constants: -11x - 82 = x + 61", "Subtract x from both sides: -12x - 82 = 61", "Add 82 to both sides: -12x = 143", "Divide both sides by -12: x = -143/12"], "final_answer": "-143/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 6) - 16 = x + 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 16, \"d\": 61}", "seed": "11203613742889099663", "semantic_fingerprint": "sha256:269bdaa384041174476a32818b495e1501e90c35f98c5b1a7f7a42dbb0bd2a0f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005897", "prompt": "What value of x satisfies 7x - 93 = -5(x - 3)?", "solution_steps": ["Expand: 7x - 93 = -5x + 15", "Add 5x to both sides: 12x - 93 = 15", "Add 93 to both sides: 12x = 108", "Divide both sides by 12: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 93 = -5(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": 3, \"e\": -93, \"x\": 9}", "seed": "7376821972300162880", "semantic_fingerprint": "sha256:a7aa4740edec77303b0f364ad35785a5de3f88a1731a93983c7e69a6a314d008", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005898", "prompt": "Find x: -7(x - 9) - 8 = x + 23", "solution_steps": ["Expand: -7x + 63 - 8 = x + 23", "Combine constants: -7x + 55 = x + 23", "Subtract x from both sides: -8x + 55 = 23", "Subtract 55 from both sides: -8x = -32", "Divide both sides by -8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 9) - 8 = x + 23", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 8, \"e\": 23, \"x\": 4}", "seed": "954890187137610858", "semantic_fingerprint": "sha256:bd82638f2e44b650389a19c7b8b49edbf4a06b8a3a4fbb9b266799f5b7cf1da6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005899", "prompt": "Solve the equation 10x - 30 = 7x - 2 for x.", "solution_steps": ["Subtract 7x from both sides: 3x - 30 = -2", "Add 30 to both sides: 3x = 28", "Divide both sides by 3: x = 28/3"], "final_answer": "28/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 30 = 7x - 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 30, \"c\": 7, \"d\": 2}", "seed": "4459383640874528129", "semantic_fingerprint": "sha256:13eb030de70b2b4ee2f224a3920f83fa2aa869281bff3a3bf37e3c3bae6dd349", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005900", "prompt": "What is (56 * 23 - 5 + (737 + 17)) * 0?", "solution_steps": ["Multiply: 56 * 23 = 1288", "Subtract: 1288 - 5 = 1283", "Add: 737 + 17 = 754", "Add: 1283 + 754 = 2037", "Multiply: 2037 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(56 * 23 - 5 + (737 + 17)) * 0", "variable": null, "family": "expression_5op", "shape": "(* (+ (- (* n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 23, \"c\": 5, \"d\": 737, \"e\": 17, \"f\": 0}", "seed": "6022806101637721521", "semantic_fingerprint": "sha256:13abe685d55a3f674ea371153a7de918abd66119a386d73c0eecdb88157e39d5", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005901", "prompt": "What value of x satisfies 4(x - 7) + 47 = 3(x + 4)?", "solution_steps": ["Expand: 4x - 28 + 47 = 3(x + 4)", "Expand: 4x - 28 + 47 = 3x + 12", "Combine constants: 4x + 19 = 3x + 12", "Subtract 3x from both sides: x + 19 = 12", "Subtract 19 from both sides: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 7) + 47 = 3(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 3, \"d\": 4, \"f\": 47, \"x\": -7}", "seed": "16563434506933625540", "semantic_fingerprint": "sha256:ac1ab57270fdeb67518f7f89b7fc1ce912950717c75b24256854567068457bc1", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005902", "prompt": "Calculate: -52 * (-31) * (-289 / 61)", "solution_steps": ["Multiply: -52 * (-31) = 1612", "Divide: -289 / 61 = -289/61", "Multiply: 1612 * (-289/61) = -465868/61"], "final_answer": "-465868/61", "answer_type": "rational", "kind": "expression", "math_text": "-52 * (-31) * (-289 / 61)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -31, \"c\": -289, \"d\": 61}", "seed": "14065552133510152146", "semantic_fingerprint": "sha256:8502a5737ca40259ca272e16045393d3a8b9dfdd8aff1d4584764974b7578374", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005903", "prompt": "Solve for x: 4(x + 98) + 37 = x + 459", "solution_steps": ["Expand: 4x + 392 + 37 = x + 459", "Combine constants: 4x + 429 = x + 459", "Subtract x from both sides: 3x + 429 = 459", "Subtract 429 from both sides: 3x = 30", "Divide both sides by 3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 98) + 37 = x + 459", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 98, \"c\": 37, \"e\": 459, \"x\": 10}", "seed": "7632293657519591661", "semantic_fingerprint": "sha256:91757f5096cc10537aa25720a2f8f66e97d07c84e06fdb33da4d2fea3264ddcf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005904", "prompt": "What value of x satisfies 2x - 48 = 3(x - 2)?", "solution_steps": ["Expand: 2x - 48 = 3x - 6", "Subtract 3x from both sides: -x - 48 = -6", "Add 48 to both sides: -x = 42", "Divide both sides by -1: x = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 48 = 3(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 48, \"c\": 3, \"d\": 2}", "seed": "6888524715713875454", "semantic_fingerprint": "sha256:f663195e9f83f83d5191d8d7c0bf4a86a126859307efd421d1d704beecf4f015", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005905", "prompt": "Calculate: 46 - (-20) * (-84) + (-775) * 8", "solution_steps": ["Multiply: -20 * (-84) = 1680", "Subtract: 46 - 1680 = -1634", "Multiply: -775 * 8 = -6200", "Add: -1634 + (-6200) = -7834"], "final_answer": "-7834", "answer_type": "integer", "kind": "expression", "math_text": "46 - (-20) * (-84) + (-775) * 8", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -20, \"c\": -84, \"d\": -775, \"e\": 8}", "seed": "13445847977933939676", "semantic_fingerprint": "sha256:b79187dff93c6e424b8469c63b2cf870f8a26cb0358dd43a563f4d6b6b7e46f3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005906", "prompt": "Calculate: (-21 + (-60)) / (-33 + (-46))", "solution_steps": ["Add: -21 + (-60) = -81", "Add: -33 + (-46) = -79", "Divide: -81 / (-79) = 81/79"], "final_answer": "81/79", "answer_type": "rational", "kind": "expression", "math_text": "(-21 + (-60)) / (-33 + (-46))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -60, \"c\": -33, \"d\": -46}", "seed": "9728487724487320444", "semantic_fingerprint": "sha256:ac75e5e921dcc25939eb8694d8d7ae281c5161d2c85c0e37a529ea87f530cdcb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005907", "prompt": "What value of x satisfies 9x - 58 = 8x - 54?", "solution_steps": ["Subtract 8x from both sides: x - 58 = -54", "Add 58 to both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 58 = 8x - 54", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 58, \"c\": 8, \"e\": -54, \"x\": 4}", "seed": "11442953631301759015", "semantic_fingerprint": "sha256:112005ee979cea8c500964b9591e131a1fe7739e84b67f5e235e1ee5b7758a01", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005908", "prompt": "Find x: 3(x + 5) = 9(x - 19) + 3", "solution_steps": ["Expand: 3x + 15 = 9(x - 19) + 3", "Expand: 3x + 15 = 9x - 171 + 3", "Combine constants: 3x + 15 = 9x - 168", "Subtract 9x from both sides: -6x + 15 = -168", "Subtract 15 from both sides: -6x = -183", "Divide both sides by -6: x = 61/2"], "final_answer": "61/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 5) = 9(x - 19) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 9, \"d\": 19, \"e\": 3}", "seed": "9022870514934791735", "semantic_fingerprint": "sha256:eac3735542e6baf08112d81140e25963065150fcf51101b745b5c96354bc5592", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005909", "prompt": "Find x: -2x - 448 = 12(x - 42)", "solution_steps": ["Expand: -2x - 448 = 12x - 504", "Subtract 12x from both sides: -14x - 448 = -504", "Add 448 to both sides: -14x = -56", "Divide both sides by -14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 448 = 12(x - 42)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"c\": 42, \"e\": -448, \"x\": 4}", "seed": "14983547055965247947", "semantic_fingerprint": "sha256:18af64a35987d1720d13c48f7e04ba1df3ec8706989188b8568b6dd72caad3ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005910", "prompt": "What value of x satisfies -8x - 38 = 9x - 38?", "solution_steps": ["Subtract 9x from both sides: -17x - 38 = -38", "Add 38 to both sides: -17x = 0", "Divide both sides by -17: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 38 = 9x - 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 38, \"c\": 9, \"e\": -38, \"x\": 0}", "seed": "954630291187348177", "semantic_fingerprint": "sha256:889cb299bc59adaa889eea7dee290420eb799aacc16d50ecc0f4b139fcd9cd0b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005911", "prompt": "Compute: -3 * 47 * (-18 / (-2))", "solution_steps": ["Multiply: -3 * 47 = -141", "Divide: -18 / (-2) = 9", "Multiply: -141 * 9 = -1269"], "final_answer": "-1269", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 47 * (-18 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 47, \"c\": -18, \"d\": -2}", "seed": "15551476277446885751", "semantic_fingerprint": "sha256:a204e52914abaec566cad4953c8fd14ec38a196048de42aebb30cf0e12da70bf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005912", "prompt": "Calculate: 6 * (-8) + (-1 + 880) / (-47)", "solution_steps": ["Multiply: 6 * (-8) = -48", "Add: -1 + 880 = 879", "Divide: 879 / (-47) = -879/47", "Add: -48 + (-879/47) = -3135/47"], "final_answer": "-3135/47", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-8) + (-1 + 880) / (-47)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -8, \"c\": -1, \"d\": 880, \"e\": -47}", "seed": "4483470150891327165", "semantic_fingerprint": "sha256:3bccecd1e4414c36277ca89c23591d1ba08d04b592ae1183bdbd9eaf5c88260d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005913", "prompt": "Calculate: 75 * 22 + (-3 - 95)", "solution_steps": ["Multiply: 75 * 22 = 1650", "Subtract: -3 - 95 = -98", "Add: 1650 + (-98) = 1552"], "final_answer": "1552", "answer_type": "integer", "kind": "expression", "math_text": "75 * 22 + (-3 - 95)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 22, \"c\": -3, \"d\": 95}", "seed": "1420662103155802856", "semantic_fingerprint": "sha256:3ef0b86373541ef71917ca90abbc3c80c53be7d682d6d67afad8a3e46f5745fc", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005914", "prompt": "What value of x satisfies -9x = 3(x + 34) - 73?", "solution_steps": ["Expand: -9x = 3x + 102 - 73", "Combine constants: -9x = 3x + 29", "Subtract 3x from both sides: -12x = 29", "Divide both sides by -12: x = -29/12"], "final_answer": "-29/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = 3(x + 34) - 73", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 34, \"d\": 73}", "seed": "6346900188775826107", "semantic_fingerprint": "sha256:b1aa74a225b5041ad27a4a2b5f8b3a2dca38dd2bc391ee8023369f1b0a2cfa9b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005915", "prompt": "What value of x satisfies 12(x - 9) + 100 = 8(x + 4)?", "solution_steps": ["Expand: 12x - 108 + 100 = 8(x + 4)", "Expand: 12x - 108 + 100 = 8x + 32", "Combine constants: 12x - 8 = 8x + 32", "Subtract 8x from both sides: 4x - 8 = 32", "Add 8 to both sides: 4x = 40", "Divide both sides by 4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 9) + 100 = 8(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 8, \"d\": 4, \"f\": 100, \"x\": 10}", "seed": "3610701488226372776", "semantic_fingerprint": "sha256:2b4cbfa51d4a46e99ec52badd671ecce349ea6b4ed8e0c158891bbc02ea42f84", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005916", "prompt": "Solve the equation 6x = 4(x + 183) - 718 for x.", "solution_steps": ["Expand: 6x = 4x + 732 - 718", "Combine constants: 6x = 4x + 14", "Subtract 4x from both sides: 2x = 14", "Divide both sides by 2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 4(x + 183) - 718", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 183, \"e\": -718, \"x\": 7}", "seed": "947878720822246140", "semantic_fingerprint": "sha256:c2f85c918dc78cb32ddb27f28f8ee79774bead8ce796bfdb045609a4dc703f45", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005917", "prompt": "Solve the equation 5(x - 7) + 20 = 3(x + 46) for x.", "solution_steps": ["Expand: 5x - 35 + 20 = 3(x + 46)", "Expand: 5x - 35 + 20 = 3x + 138", "Combine constants: 5x - 15 = 3x + 138", "Subtract 3x from both sides: 2x - 15 = 138", "Add 15 to both sides: 2x = 153", "Divide both sides by 2: x = 153/2"], "final_answer": "153/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 7) + 20 = 3(x + 46)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 20, \"d\": 3, \"e\": 46}", "seed": "4786326879073582677", "semantic_fingerprint": "sha256:d085294ea6031e861021f5335790cdd48b713c5cca541dbd3b5a0c86436faab0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005918", "prompt": "What is -97 / (-57 + (-33) - 88) * 70?", "solution_steps": ["Add: -57 + (-33) = -90", "Subtract: -90 - 88 = -178", "Divide: -97 / (-178) = 97/178", "Multiply: (97/178) * 70 = 3395/89"], "final_answer": "3395/89", "answer_type": "rational", "kind": "expression", "math_text": "-97 / (-57 + (-33) - 88) * 70", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -57, \"c\": -33, \"d\": 88, \"e\": 70}", "seed": "4850772520235613719", "semantic_fingerprint": "sha256:62ce36415c8009e1c0bb7bc52c51b2e6814b8cf7043f743ff2917d67940d0d0a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005919", "prompt": "Compute: -6 / (-3) / (6 / 3 + (-217))", "solution_steps": ["Divide: -6 / (-3) = 2", "Divide: 6 / 3 = 2", "Add: 2 + (-217) = -215", "Divide: 2 / (-215) = -2/215"], "final_answer": "-2/215", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-3) / (6 / 3 + (-217))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -3, \"c\": 6, \"d\": 3, \"e\": -217}", "seed": "7351682937681636372", "semantic_fingerprint": "sha256:7c5a3fe0223d0ef197174abc80563ae1657de7f303da643b6310dea295683c93", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005920", "prompt": "Compute: -915 / (-67) * (-9 / (-91))", "solution_steps": ["Divide: -915 / (-67) = 915/67", "Divide: -9 / (-91) = 9/91", "Multiply: (915/67) * (9/91) = 8235/6097"], "final_answer": "8235/6097", "answer_type": "rational", "kind": "expression", "math_text": "-915 / (-67) * (-9 / (-91))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -915, \"b\": -67, \"c\": -9, \"d\": -91}", "seed": "8859576165022669191", "semantic_fingerprint": "sha256:851fa64f16da3301312df58d2d94da7463507cfcf01fa104320d0c770181b49a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005921", "prompt": "What is -20 * 13 * (35 / 6)?", "solution_steps": ["Multiply: -20 * 13 = -260", "Divide: 35 / 6 = 35/6", "Multiply: -260 * (35/6) = -4550/3"], "final_answer": "-4550/3", "answer_type": "rational", "kind": "expression", "math_text": "-20 * 13 * (35 / 6)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 13, \"c\": 35, \"d\": 6}", "seed": "5442241405573368418", "semantic_fingerprint": "sha256:2538823fa4c5fd2bba7927e24e7032edc4c7274d1bfc038042f0e9710f1f43a8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005922", "prompt": "What value of x satisfies 6(x + 6) + 22 = x + 78?", "solution_steps": ["Expand: 6x + 36 + 22 = x + 78", "Combine constants: 6x + 58 = x + 78", "Subtract x from both sides: 5x + 58 = 78", "Subtract 58 from both sides: 5x = 20", "Divide both sides by 5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 6) + 22 = x + 78", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 22, \"e\": 78, \"x\": 4}", "seed": "12673333706872031179", "semantic_fingerprint": "sha256:65712f2cf90e12f3c06f22bf7c6102940c42260173b4620f400a0b0e9a738478", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005923", "prompt": "Find x: -10(x + 38) = 8(x - 55) + 74", "solution_steps": ["Expand: -10x - 380 = 8(x - 55) + 74", "Expand: -10x - 380 = 8x - 440 + 74", "Combine constants: -10x - 380 = 8x - 366", "Subtract 8x from both sides: -18x - 380 = -366", "Add 380 to both sides: -18x = 14", "Divide both sides by -18: x = -7/9"], "final_answer": "-7/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 38) = 8(x - 55) + 74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 38, \"c\": 8, \"d\": 55, \"e\": 74}", "seed": "3861744108916379785", "semantic_fingerprint": "sha256:45241d884631e67e9127cca387b83e4f0bab183835ceb15106a72be86660ff59", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005924", "prompt": "Compute: -5 * 2 - (-8 - 87 / 9)", "solution_steps": ["Multiply: -5 * 2 = -10", "Divide: 87 / 9 = 29/3", "Subtract: -8 - 29/3 = -53/3", "Subtract: -10 - (-53/3) = 23/3"], "final_answer": "23/3", "answer_type": "rational", "kind": "expression", "math_text": "-5 * 2 - (-8 - 87 / 9)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": -8, \"d\": 87, \"e\": 9}", "seed": "10664525971894575150", "semantic_fingerprint": "sha256:8824d41fad141d099310aaad833fff5e93db3ed0f3bd82ce6570c0be5e95df97", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005925", "prompt": "What value of x satisfies -7(x + 87) + 8 = x + 59?", "solution_steps": ["Expand: -7x - 609 + 8 = x + 59", "Combine constants: -7x - 601 = x + 59", "Subtract x from both sides: -8x - 601 = 59", "Add 601 to both sides: -8x = 660", "Divide both sides by -8: x = -165/2"], "final_answer": "-165/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 87) + 8 = x + 59", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 87, \"c\": 8, \"d\": 59}", "seed": "8232403147531186284", "semantic_fingerprint": "sha256:4a8d4cee21165567e06522e0ec0b44eb340049d0b06eb1ff556d89cef96e9342", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005926", "prompt": "Solve for x: 12x - 754 = 2x - 864", "solution_steps": ["Subtract 2x from both sides: 10x - 754 = -864", "Add 754 to both sides: 10x = -110", "Divide both sides by 10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 754 = 2x - 864", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 754, \"c\": 2, \"e\": -864, \"x\": -11}", "seed": "15635771838699174739", "semantic_fingerprint": "sha256:a64ab325a944d81a76e7a599bd9b6c68b1c31f628db1301deda6309da223f54c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005927", "prompt": "Find x: 2x - 994 = 6x - 966", "solution_steps": ["Subtract 6x from both sides: -4x - 994 = -966", "Add 994 to both sides: -4x = 28", "Divide both sides by -4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 994 = 6x - 966", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 994, \"c\": 6, \"e\": -966, \"x\": -7}", "seed": "3741162915653538935", "semantic_fingerprint": "sha256:880a67e39d2fa4084d960c21895daa6e53501c69258ed35569e1423dcf1422be", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005928", "prompt": "Calculate: (-699 + (-4)) / (-76 + (-8))", "solution_steps": ["Add: -699 + (-4) = -703", "Add: -76 + (-8) = -84", "Divide: -703 / (-84) = 703/84"], "final_answer": "703/84", "answer_type": "rational", "kind": "expression", "math_text": "(-699 + (-4)) / (-76 + (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -699, \"b\": -4, \"c\": -76, \"d\": -8}", "seed": "5841079866376120182", "semantic_fingerprint": "sha256:753a133a3c07976344041401c67f5c9ad294f82e9c7f76640b839d2689f0cdc4", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005929", "prompt": "Calculate: 88 * (-34) + 5 * 9", "solution_steps": ["Multiply: 88 * (-34) = -2992", "Multiply: 5 * 9 = 45", "Add: -2992 + 45 = -2947"], "final_answer": "-2947", "answer_type": "integer", "kind": "expression", "math_text": "88 * (-34) + 5 * 9", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -34, \"c\": 5, \"d\": 9}", "seed": "17337744512111538992", "semantic_fingerprint": "sha256:b0401a4bd7ffb3f037a93ed184ab1257e5e56d2e9f117f5795f73f85ba45277f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005930", "prompt": "What is 6 * (-59 * 0) + 112?", "solution_steps": ["Multiply: -59 * 0 = 0", "Multiply: 6 * 0 = 0", "Add: 0 + 112 = 112"], "final_answer": "112", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-59 * 0) + 112", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -59, \"c\": 0, \"d\": 112}", "seed": "4009492673387801032", "semantic_fingerprint": "sha256:00d1d6bf8f1489b197e1e61277272457fde09fb866d7bff5013de8fed42488a6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005931", "prompt": "Compute: 533 / (-842) + (4 + (-4)) + 5", "solution_steps": ["Divide: 533 / (-842) = -533/842", "Add: 4 + (-4) = 0", "Add: -533/842 + 0 = -533/842", "Add: -533/842 + 5 = 3677/842"], "final_answer": "3677/842", "answer_type": "rational", "kind": "expression", "math_text": "533 / (-842) + (4 + (-4)) + 5", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 533, \"b\": -842, \"c\": 4, \"d\": -4, \"e\": 5}", "seed": "13298252362230717796", "semantic_fingerprint": "sha256:a65e57c9ba7c2df6dbd29fba617a21ffbbf889e549fa49221858014627f4dde2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005932", "prompt": "Compute: -67 * (-6) + (-156 - 288)", "solution_steps": ["Multiply: -67 * (-6) = 402", "Subtract: -156 - 288 = -444", "Add: 402 + (-444) = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "expression", "math_text": "-67 * (-6) + (-156 - 288)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -6, \"c\": -156, \"d\": 288}", "seed": "18369251288158853635", "semantic_fingerprint": "sha256:61f3938c1bc512ae0bfb2036628e8bdb8611a686291e1b525d719a1984a2a57d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005933", "prompt": "Solve for x: -3x = -2(x + 55) + 126", "solution_steps": ["Expand: -3x = -2x - 110 + 126", "Combine constants: -3x = -2x + 16", "Add 2x to both sides: -x = 16", "Divide both sides by -1: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = -2(x + 55) + 126", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -2, \"c\": 55, \"e\": 126, \"x\": -16}", "seed": "6541765234738132097", "semantic_fingerprint": "sha256:7dabfa5dda26cd0f505c32f89a85978566028c8f6e342de03bc22addf284a488", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005934", "prompt": "Calculate: 0 + 9 / (-25 - (-998) / (-64))", "solution_steps": ["Divide: -998 / (-64) = 499/32", "Subtract: -25 - 499/32 = -1299/32", "Divide: 9 / (-1299/32) = -96/433", "Add: 0 + (-96/433) = -96/433"], "final_answer": "-96/433", "answer_type": "rational", "kind": "expression", "math_text": "0 + 9 / (-25 - (-998) / (-64))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": -25, \"d\": -998, \"e\": -64}", "seed": "1835201366901934631", "semantic_fingerprint": "sha256:c36c11a138b0ef35b377fdf52114460e78df417fab429f098ffb151287dead0d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005935", "prompt": "Calculate: (381 - 42 - (-9)) * (-73)", "solution_steps": ["Subtract: 381 - 42 = 339", "Subtract: 339 - (-9) = 348", "Multiply: 348 * (-73) = -25404"], "final_answer": "-25404", "answer_type": "integer", "kind": "expression", "math_text": "(381 - 42 - (-9)) * (-73)", "variable": null, "family": "expression_3op", "shape": "(* (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 381, \"b\": 42, \"c\": -9, \"d\": -73}", "seed": "305407130026880806", "semantic_fingerprint": "sha256:86fba33b103c8704095a4fea9bdffa6ff0d1b72ae358d457ad25e5f2ef07a66e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005936", "prompt": "Calculate: -699 + (133 / (4 - (-392)) - (-73))", "solution_steps": ["Subtract: 4 - (-392) = 396", "Divide: 133 / 396 = 133/396", "Subtract: 133/396 - (-73) = 29041/396", "Add: -699 + 29041/396 = -247763/396"], "final_answer": "-247763/396", "answer_type": "rational", "kind": "expression", "math_text": "-699 + (133 / (4 - (-392)) - (-73))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -699, \"b\": 133, \"c\": 4, \"d\": -392, \"e\": -73}", "seed": "17867251589899271419", "semantic_fingerprint": "sha256:a2384be167c1661c543fc0b54828fabeb151db609af9afd9573a865b903eeb7e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005937", "prompt": "What value of x satisfies -7(x + 1) - 274 = x + 73?", "solution_steps": ["Expand: -7x - 7 - 274 = x + 73", "Combine constants: -7x - 281 = x + 73", "Subtract x from both sides: -8x - 281 = 73", "Add 281 to both sides: -8x = 354", "Divide both sides by -8: x = -177/4"], "final_answer": "-177/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 1) - 274 = x + 73", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 274, \"d\": 73}", "seed": "9529635431031486891", "semantic_fingerprint": "sha256:a57899e34dfa2a1073570cb0afcaa80350259de1ce46ddd768fe01adfbed7f6f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005938", "prompt": "What is 27 / (-427) / (-20 / 74 + 1)?", "solution_steps": ["Divide: 27 / (-427) = -27/427", "Divide: -20 / 74 = -10/37", "Add: -10/37 + 1 = 27/37", "Divide: (-27/427) / (27/37) = -37/427"], "final_answer": "-37/427", "answer_type": "rational", "kind": "expression", "math_text": "27 / (-427) / (-20 / 74 + 1)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -427, \"c\": -20, \"d\": 74, \"e\": 1}", "seed": "10281380741564732542", "semantic_fingerprint": "sha256:7d2a82f0194798340141ab836bc44fe59f68a43ccd249d8aa9e25ed938d3cf61", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005939", "prompt": "Calculate: -14 * 98 * ((-46 - (-73)) / (-3)) * 0", "solution_steps": ["Multiply: -14 * 98 = -1372", "Subtract: -46 - (-73) = 27", "Divide: 27 / (-3) = -9", "Multiply: -1372 * (-9) = 12348", "Multiply: 12348 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-14 * 98 * ((-46 - (-73)) / (-3)) * 0", "variable": null, "family": "expression_5op", "shape": "(* (* (* n n) (/ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 98, \"c\": -46, \"d\": -73, \"e\": -3, \"f\": 0}", "seed": "14204874456415544886", "semantic_fingerprint": "sha256:ac1fa9d3f5b72321ad5c364bd80ccdc703d15bfca37c7ae05a1f144ce20864c9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005940", "prompt": "Solve the equation 7x = -2(x + 321) + 7 for x.", "solution_steps": ["Expand: 7x = -2x - 642 + 7", "Combine constants: 7x = -2x - 635", "Add 2x to both sides: 9x = -635", "Divide both sides by 9: x = -635/9"], "final_answer": "-635/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -2(x + 321) + 7", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -2, \"c\": 321, \"d\": 7}", "seed": "9612162450846172433", "semantic_fingerprint": "sha256:85c39e90d6809c0ae1ce69a2898b988f3ef09879a9b69b0dfc3ae406419a4133", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005941", "prompt": "Find x: 12(x - 53) + 787 = 7(x + 8)", "solution_steps": ["Expand: 12x - 636 + 787 = 7(x + 8)", "Expand: 12x - 636 + 787 = 7x + 56", "Combine constants: 12x + 151 = 7x + 56", "Subtract 7x from both sides: 5x + 151 = 56", "Subtract 151 from both sides: 5x = -95", "Divide both sides by 5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 53) + 787 = 7(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 53, \"c\": 7, \"d\": 8, \"f\": 787, \"x\": -19}", "seed": "1217544817006036878", "semantic_fingerprint": "sha256:43552214ee8682dc1a2fe2d5f7088564b27a76adda260be39bc2ddca4d0e6e9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005942", "prompt": "What is (-52 * 2 * (-5) - (-670)) * 73?", "solution_steps": ["Multiply: -52 * 2 = -104", "Multiply: -104 * (-5) = 520", "Subtract: 520 - (-670) = 1190", "Multiply: 1190 * 73 = 86870"], "final_answer": "86870", "answer_type": "integer", "kind": "expression", "math_text": "(-52 * 2 * (-5) - (-670)) * 73", "variable": null, "family": "expression_4op", "shape": "(* (- (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 2, \"c\": -5, \"d\": -670, \"e\": 73}", "seed": "9819153904913610849", "semantic_fingerprint": "sha256:62f8c2602455b4c10c4c7268b5fc8bdc428fdac9f7e84a6b9003c18288db73c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005943", "prompt": "Find x: 3(x - 2) + 186 = 6(x + 27)", "solution_steps": ["Expand: 3x - 6 + 186 = 6(x + 27)", "Expand: 3x - 6 + 186 = 6x + 162", "Combine constants: 3x + 180 = 6x + 162", "Subtract 6x from both sides: -3x + 180 = 162", "Subtract 180 from both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 2) + 186 = 6(x + 27)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 6, \"d\": 27, \"f\": 186, \"x\": 6}", "seed": "5599096238859821964", "semantic_fingerprint": "sha256:3e0846ede86b176798184d6f770b8f6eec23bf99ea7a22edbbe9c5999a89dfe8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005944", "prompt": "What is (8 - (-6) / 54) * (-144 * 764)?", "solution_steps": ["Divide: -6 / 54 = -1/9", "Subtract: 8 - (-1/9) = 73/9", "Multiply: -144 * 764 = -110016", "Multiply: (73/9) * (-110016) = -892352"], "final_answer": "-892352", "answer_type": "integer", "kind": "expression", "math_text": "(8 - (-6) / 54) * (-144 * 764)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6, \"c\": 54, \"d\": -144, \"e\": 764}", "seed": "13451592345451500222", "semantic_fingerprint": "sha256:545bd6aa34ee28a0e4a6a6c0afebb186080dbce5a578d8bbae1b2f9884fda9ee", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005945", "prompt": "Evaluate: -8 / (63 * (5 + 25 / 216))", "solution_steps": ["Divide: 25 / 216 = 25/216", "Add: 5 + 25/216 = 1105/216", "Multiply: 63 * (1105/216) = 7735/24", "Divide: -8 / (7735/24) = -192/7735"], "final_answer": "-192/7735", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (63 * (5 + 25 / 216))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 63, \"c\": 5, \"d\": 25, \"e\": 216}", "seed": "9168463366332972337", "semantic_fingerprint": "sha256:c4fd18054becfb0dd1f76751f54316fc057dd46c3dcf73b0fcedc2e0300d3d16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005946", "prompt": "Evaluate: -1 / (257 * 0 + (62 - 1))", "solution_steps": ["Multiply: 257 * 0 = 0", "Subtract: 62 - 1 = 61", "Add: 0 + 61 = 61", "Divide: -1 / 61 = -1/61"], "final_answer": "-1/61", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (257 * 0 + (62 - 1))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 257, \"c\": 0, \"d\": 62, \"e\": 1}", "seed": "14117671728001471858", "semantic_fingerprint": "sha256:07e99b8e71ecc11324924c75ec794e108cc4e708f69d767d85c6c5c6339f12e8", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005947", "prompt": "What value of x satisfies 9(x + 12) = 11(x - 518) + 535?", "solution_steps": ["Expand: 9x + 108 = 11(x - 518) + 535", "Expand: 9x + 108 = 11x - 5698 + 535", "Combine constants: 9x + 108 = 11x - 5163", "Subtract 11x from both sides: -2x + 108 = -5163", "Subtract 108 from both sides: -2x = -5271", "Divide both sides by -2: x = 5271/2"], "final_answer": "5271/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 12) = 11(x - 518) + 535", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 11, \"d\": 518, \"e\": 535}", "seed": "16244603204687920150", "semantic_fingerprint": "sha256:e8bc62f01aa8dc5dfd955052b8f5d20e36e7209f04f1fcf8c84e0d0c8031b505", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005948", "prompt": "Solve the equation -3x = 2(x + 333) - 671 for x.", "solution_steps": ["Expand: -3x = 2x + 666 - 671", "Combine constants: -3x = 2x - 5", "Subtract 2x from both sides: -5x = -5", "Divide both sides by -5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = 2(x + 333) - 671", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 333, \"e\": -671, \"x\": 1}", "seed": "16078579697712314531", "semantic_fingerprint": "sha256:4a9ac71430720e280363d753eb7dfdca523a481a3e13848c7647b7dab4c8e9ad", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005949", "prompt": "What is -5 / (-783) * (6 / 31)?", "solution_steps": ["Divide: -5 / (-783) = 5/783", "Divide: 6 / 31 = 6/31", "Multiply: (5/783) * (6/31) = 10/8091"], "final_answer": "10/8091", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-783) * (6 / 31)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -783, \"c\": 6, \"d\": 31}", "seed": "16740238634903624355", "semantic_fingerprint": "sha256:eea99e415ec01b7598a7166f8ebfa1e0f4eaba110e2d5266e1bfc980bc2b6abf", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005950", "prompt": "Evaluate: 23 + (991 - (-63 + (-3))) + 4", "solution_steps": ["Add: -63 + (-3) = -66", "Subtract: 991 - (-66) = 1057", "Add: 23 + 1057 = 1080", "Add: 1080 + 4 = 1084"], "final_answer": "1084", "answer_type": "integer", "kind": "expression", "math_text": "23 + (991 - (-63 + (-3))) + 4", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 991, \"c\": -63, \"d\": -3, \"e\": 4}", "seed": "3400858311050966382", "semantic_fingerprint": "sha256:1755b52bb65713b9198a640a87bc701d8c4765ab684620a90743c1616d202f81", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005951", "prompt": "Solve for x: 3(x + 7) + 96 = x + 125", "solution_steps": ["Expand: 3x + 21 + 96 = x + 125", "Combine constants: 3x + 117 = x + 125", "Subtract x from both sides: 2x + 117 = 125", "Subtract 117 from both sides: 2x = 8", "Divide both sides by 2: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 7) + 96 = x + 125", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 96, \"e\": 125, \"x\": 4}", "seed": "13168550018004663810", "semantic_fingerprint": "sha256:dffd1215f4e249fd118b4e42eca7fd97cd8927eff6ac051db517e93b63f7736b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005952", "prompt": "Evaluate: -453 - (73 - 18) - (10 + (-7 - 261))", "solution_steps": ["Subtract: 73 - 18 = 55", "Subtract: -453 - 55 = -508", "Subtract: -7 - 261 = -268", "Add: 10 + (-268) = -258", "Subtract: -508 - (-258) = -250"], "final_answer": "-250", "answer_type": "integer", "kind": "expression", "math_text": "-453 - (73 - 18) - (10 + (-7 - 261))", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -453, \"b\": 73, \"c\": 18, \"d\": 10, \"e\": -7, \"f\": 261}", "seed": "6798447197975288748", "semantic_fingerprint": "sha256:abd728a5a93bffbe2553627925c1081e1838aef9b67d1951c8a40a0186cc764b", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005953", "prompt": "Calculate: 35 + (-5) / (-216 / 4 + 6 * 654)", "solution_steps": ["Divide: -216 / 4 = -54", "Multiply: 6 * 654 = 3924", "Add: -54 + 3924 = 3870", "Divide: -5 / 3870 = -1/774", "Add: 35 + (-1/774) = 27089/774"], "final_answer": "27089/774", "answer_type": "rational", "kind": "expression", "math_text": "35 + (-5) / (-216 / 4 + 6 * 654)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (+ (/ n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -5, \"c\": -216, \"d\": 4, \"e\": 6, \"f\": 654}", "seed": "79763310213406898", "semantic_fingerprint": "sha256:59919b77d3664123f79a1211c49df49a7c18f1d855e2dd70b74c06281db34e4c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005954", "prompt": "Solve for x: -10(x + 1) = 5(x - 69) + 635", "solution_steps": ["Expand: -10x - 10 = 5(x - 69) + 635", "Expand: -10x - 10 = 5x - 345 + 635", "Combine constants: -10x - 10 = 5x + 290", "Subtract 5x from both sides: -15x - 10 = 290", "Add 10 to both sides: -15x = 300", "Divide both sides by -15: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 1) = 5(x - 69) + 635", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 5, \"d\": 69, \"f\": 635, \"x\": -20}", "seed": "570478009558803821", "semantic_fingerprint": "sha256:cd952b4035803f64ec6a2d4402fc46735afe6be016efe3ac34b8d4cd2de834a2", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005955", "prompt": "Compute: -37 / 9 / (58 - 1) * (-9 + 64)", "solution_steps": ["Divide: -37 / 9 = -37/9", "Subtract: 58 - 1 = 57", "Divide: (-37/9) / 57 = -37/513", "Add: -9 + 64 = 55", "Multiply: (-37/513) * 55 = -2035/513"], "final_answer": "-2035/513", "answer_type": "rational", "kind": "expression", "math_text": "-37 / 9 / (58 - 1) * (-9 + 64)", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 9, \"c\": 58, \"d\": 1, \"e\": -9, \"f\": 64}", "seed": "2745180924278476333", "semantic_fingerprint": "sha256:9461014322434f1ecade6bb334f724b97c51a0d30cccc72db04ade52bb6994bd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005956", "prompt": "Solve the equation 9x - 196 = 5x - 143 for x.", "solution_steps": ["Subtract 5x from both sides: 4x - 196 = -143", "Add 196 to both sides: 4x = 53", "Divide both sides by 4: x = 53/4"], "final_answer": "53/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 196 = 5x - 143", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 196, \"c\": 5, \"d\": 143}", "seed": "8374316298622949206", "semantic_fingerprint": "sha256:b3ef026def06f906353cfcdc51b37a82255720c41af6ed71c9ae2bbcdb52fd4d", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005957", "prompt": "What value of x satisfies -8(x - 13) - 64 = x + 157?", "solution_steps": ["Expand: -8x + 104 - 64 = x + 157", "Combine constants: -8x + 40 = x + 157", "Subtract x from both sides: -9x + 40 = 157", "Subtract 40 from both sides: -9x = 117", "Divide both sides by -9: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 13) - 64 = x + 157", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 13, \"c\": 64, \"e\": 157, \"x\": -13}", "seed": "12766303781948900752", "semantic_fingerprint": "sha256:c66ee056dbb9f4dbfdb82da0d5711470568dbc462f0841284aa707fdaa231b32", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005958", "prompt": "Compute: 55 * (85 * (-4)) + (-300)", "solution_steps": ["Multiply: 85 * (-4) = -340", "Multiply: 55 * (-340) = -18700", "Add: -18700 + (-300) = -19000"], "final_answer": "-19000", "answer_type": "integer", "kind": "expression", "math_text": "55 * (85 * (-4)) + (-300)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 85, \"c\": -4, \"d\": -300}", "seed": "4980437339588930826", "semantic_fingerprint": "sha256:0e6a06ffbcb5c7ab16868f25c84b09d136b3d28008ffd25c165eb5243d0e708f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005959", "prompt": "Solve for x: 12(x + 29) - 95 = x + 66", "solution_steps": ["Expand: 12x + 348 - 95 = x + 66", "Combine constants: 12x + 253 = x + 66", "Subtract x from both sides: 11x + 253 = 66", "Subtract 253 from both sides: 11x = -187", "Divide both sides by 11: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 29) - 95 = x + 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 29, \"c\": 95, \"e\": 66, \"x\": -17}", "seed": "15537081896545058277", "semantic_fingerprint": "sha256:ae27ae0dab4ef8b8fa3d59a36ee2abe8b150f8fcd84adf76dbeb00cedc7b6412", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005960", "prompt": "Solve for x: -9x = 9(x + 1) - 973", "solution_steps": ["Expand: -9x = 9x + 9 - 973", "Combine constants: -9x = 9x - 964", "Subtract 9x from both sides: -18x = -964", "Divide both sides by -18: x = 482/9"], "final_answer": "482/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = 9(x + 1) - 973", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 1, \"d\": 973}", "seed": "11185356004293693954", "semantic_fingerprint": "sha256:1e3a5e65a6a19d01a30b8db08248115b46d6aa60a142d81a7960f6006e63ea3a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005961", "prompt": "What is (0 * (-775) - (51 + 35)) * 18?", "solution_steps": ["Multiply: 0 * (-775) = 0", "Add: 51 + 35 = 86", "Subtract: 0 - 86 = -86", "Multiply: -86 * 18 = -1548"], "final_answer": "-1548", "answer_type": "integer", "kind": "expression", "math_text": "(0 * (-775) - (51 + 35)) * 18", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -775, \"c\": 51, \"d\": 35, \"e\": 18}", "seed": "13545227724176724812", "semantic_fingerprint": "sha256:be017502cc6e799bd0810f6554184c5e216d15157bb876ae4dbc54d3f23cb1eb", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005962", "prompt": "Evaluate: (22 + 527) / (-3 + 709)", "solution_steps": ["Add: 22 + 527 = 549", "Add: -3 + 709 = 706", "Divide: 549 / 706 = 549/706"], "final_answer": "549/706", "answer_type": "rational", "kind": "expression", "math_text": "(22 + 527) / (-3 + 709)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 527, \"c\": -3, \"d\": 709}", "seed": "997245349429516642", "semantic_fingerprint": "sha256:7d78afaf99e8c8a7eaea9a0bfae926ce341144cec4ef11bf006d380583625611", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005963", "prompt": "Calculate: -41 * (4 - 571) + (-82) * (-9)", "solution_steps": ["Subtract: 4 - 571 = -567", "Multiply: -41 * (-567) = 23247", "Multiply: -82 * (-9) = 738", "Add: 23247 + 738 = 23985"], "final_answer": "23985", "answer_type": "integer", "kind": "expression", "math_text": "-41 * (4 - 571) + (-82) * (-9)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 4, \"c\": 571, \"d\": -82, \"e\": -9}", "seed": "9105342883046005298", "semantic_fingerprint": "sha256:b17502714f4fccd3dc0e49fa6877de3f8a601845b95d4d43edf76deed48fb425", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005964", "prompt": "Find x: 10(x - 521) + 2 = 11(x + 5)", "solution_steps": ["Expand: 10x - 5210 + 2 = 11(x + 5)", "Expand: 10x - 5210 + 2 = 11x + 55", "Combine constants: 10x - 5208 = 11x + 55", "Subtract 11x from both sides: -x - 5208 = 55", "Add 5208 to both sides: -x = 5263", "Divide both sides by -1: x = -5263"], "final_answer": "-5263", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 521) + 2 = 11(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 521, \"c\": 2, \"d\": 11, \"e\": 5}", "seed": "2890304864998008817", "semantic_fingerprint": "sha256:cc20ec3f1aa00171bd0bb73677d8bfd3c6a999b68b51a718e74ec374fe62e260", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005965", "prompt": "Compute: -47 * (5 + (67 - (-9))) / (9 - (-2))", "solution_steps": ["Subtract: 67 - (-9) = 76", "Add: 5 + 76 = 81", "Multiply: -47 * 81 = -3807", "Subtract: 9 - (-2) = 11", "Divide: -3807 / 11 = -3807/11"], "final_answer": "-3807/11", "answer_type": "rational", "kind": "expression", "math_text": "-47 * (5 + (67 - (-9))) / (9 - (-2))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ n (- n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 5, \"c\": 67, \"d\": -9, \"e\": 9, \"f\": -2}", "seed": "11817267462229603111", "semantic_fingerprint": "sha256:6c6ad5275ab000deb5bc583bf9ed12a3a2235edb5557a809e11542f6d229a3c0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005966", "prompt": "Evaluate: 88 + (-65) * (-7) + 56 - 0", "solution_steps": ["Multiply: -65 * (-7) = 455", "Add: 88 + 455 = 543", "Add: 543 + 56 = 599", "Subtract: 599 - 0 = 599"], "final_answer": "599", "answer_type": "integer", "kind": "expression", "math_text": "88 + (-65) * (-7) + 56 - 0", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -65, \"c\": -7, \"d\": 56, \"e\": 0}", "seed": "4422322661128828722", "semantic_fingerprint": "sha256:1be0e4551ccebe5e56a17ca3b9f0acdd758038bfa86bd44130d1e7b370a8c19f", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005967", "prompt": "Solve the equation 5x = 3(x + 995) - 8 for x.", "solution_steps": ["Expand: 5x = 3x + 2985 - 8", "Combine constants: 5x = 3x + 2977", "Subtract 3x from both sides: 2x = 2977", "Divide both sides by 2: x = 2977/2"], "final_answer": "2977/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 3(x + 995) - 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 995, \"d\": 8}", "seed": "17564365904489466682", "semantic_fingerprint": "sha256:61231032625278ddbcd78425d3ef0eab2c6fa8b83e6a6ca462329a3cd375afea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005968", "prompt": "What is -752 * 2 - (-5 + (-7)) - 65?", "solution_steps": ["Multiply: -752 * 2 = -1504", "Add: -5 + (-7) = -12", "Subtract: -1504 - (-12) = -1492", "Subtract: -1492 - 65 = -1557"], "final_answer": "-1557", "answer_type": "integer", "kind": "expression", "math_text": "-752 * 2 - (-5 + (-7)) - 65", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -752, \"b\": 2, \"c\": -5, \"d\": -7, \"e\": 65}", "seed": "8396223250623803316", "semantic_fingerprint": "sha256:d7d30fd50a56085ec5b575379feb43ced117acb1ee888222c9de68491e6c754a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005969", "prompt": "Calculate: 305 - (-2) + (41 - (183 + (-664)) / (-9))", "solution_steps": ["Subtract: 305 - (-2) = 307", "Add: 183 + (-664) = -481", "Divide: -481 / (-9) = 481/9", "Subtract: 41 - 481/9 = -112/9", "Add: 307 + (-112/9) = 2651/9"], "final_answer": "2651/9", "answer_type": "rational", "kind": "expression", "math_text": "305 - (-2) + (41 - (183 + (-664)) / (-9))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- n (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 305, \"b\": -2, \"c\": 41, \"d\": 183, \"e\": -664, \"f\": -9}", "seed": "8905090525343628387", "semantic_fingerprint": "sha256:2654dcc630992b186e458452de4f20f709129772ce2dae07f7f526de53a39550", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005970", "prompt": "Calculate: (104 + (-159)) / (-43 + (-8))", "solution_steps": ["Add: 104 + (-159) = -55", "Add: -43 + (-8) = -51", "Divide: -55 / (-51) = 55/51"], "final_answer": "55/51", "answer_type": "rational", "kind": "expression", "math_text": "(104 + (-159)) / (-43 + (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 104, \"b\": -159, \"c\": -43, \"d\": -8}", "seed": "1761278874638835744", "semantic_fingerprint": "sha256:6139364291533fdc521e0ac5012bbd3373cf2e6ae297be907bddd23112746ad9", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005971", "prompt": "What is (-175 * (-1) - 624) * (-4 - 3) / (-846)?", "solution_steps": ["Multiply: -175 * (-1) = 175", "Subtract: 175 - 624 = -449", "Subtract: -4 - 3 = -7", "Multiply: -449 * (-7) = 3143", "Divide: 3143 / (-846) = -3143/846"], "final_answer": "-3143/846", "answer_type": "rational", "kind": "expression", "math_text": "(-175 * (-1) - 624) * (-4 - 3) / (-846)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- (* n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -175, \"b\": -1, \"c\": 624, \"d\": -4, \"e\": 3, \"f\": -846}", "seed": "13362407978052281044", "semantic_fingerprint": "sha256:85f1dc7bd639a9301b7342069fb65ca7d0e8c218827c22520cedcd874bfdabf3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005972", "prompt": "Evaluate: 17 + (-33) + (-2) - (87 + 829)", "solution_steps": ["Add: 17 + (-33) = -16", "Add: -16 + (-2) = -18", "Add: 87 + 829 = 916", "Subtract: -18 - 916 = -934"], "final_answer": "-934", "answer_type": "integer", "kind": "expression", "math_text": "17 + (-33) + (-2) - (87 + 829)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -33, \"c\": -2, \"d\": 87, \"e\": 829}", "seed": "7981811401455329576", "semantic_fingerprint": "sha256:469369fb13a367a8a15724d113a2e3c7ec3e7dd1187ec4a4e8e54e0de8f6627c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005973", "prompt": "What value of x satisfies -7(x + 4) - 3 = x + 17?", "solution_steps": ["Expand: -7x - 28 - 3 = x + 17", "Combine constants: -7x - 31 = x + 17", "Subtract x from both sides: -8x - 31 = 17", "Add 31 to both sides: -8x = 48", "Divide both sides by -8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 4) - 3 = x + 17", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 3, \"e\": 17, \"x\": -6}", "seed": "13563892391856532878", "semantic_fingerprint": "sha256:83472dac776859ac3e616784b869652ff3ed6348bfd840e9a98b7ab9f0c0db29", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005974", "prompt": "What value of x satisfies -12x - 7 = 11(x - 5)?", "solution_steps": ["Expand: -12x - 7 = 11x - 55", "Subtract 11x from both sides: -23x - 7 = -55", "Add 7 to both sides: -23x = -48", "Divide both sides by -23: x = 48/23"], "final_answer": "48/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 7 = 11(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 11, \"d\": 5}", "seed": "3723751186697705014", "semantic_fingerprint": "sha256:f48ab8adbd843b219cc60ebd2d81e04a3c22c97a408d7aaabd2bf5c7ef425b16", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005975", "prompt": "What value of x satisfies 9x - 723 = -12x - 387?", "solution_steps": ["Add 12x to both sides: 21x - 723 = -387", "Add 723 to both sides: 21x = 336", "Divide both sides by 21: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 723 = -12x - 387", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 723, \"c\": -12, \"e\": -387, \"x\": 16}", "seed": "16836481721076548564", "semantic_fingerprint": "sha256:c5098480dba5eb1938c4c886dcc2470ee53cc8ea18a45fe1316967fd02d437a0", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005976", "prompt": "Compute: -1 / 86 * (225 / 71)", "solution_steps": ["Divide: -1 / 86 = -1/86", "Divide: 225 / 71 = 225/71", "Multiply: (-1/86) * (225/71) = -225/6106"], "final_answer": "-225/6106", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 86 * (225 / 71)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 86, \"c\": 225, \"d\": 71}", "seed": "3184365634567840495", "semantic_fingerprint": "sha256:e2ffa455e9018430d4bed374d49d4f33f99b4f51a9bf5d36053081c0879eb09e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005977", "prompt": "What is -7 - (-60 / (-45) - (-11)) - (-605)?", "solution_steps": ["Divide: -60 / (-45) = 4/3", "Subtract: 4/3 - (-11) = 37/3", "Subtract: -7 - 37/3 = -58/3", "Subtract: -58/3 - (-605) = 1757/3"], "final_answer": "1757/3", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-60 / (-45) - (-11)) - (-605)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -60, \"c\": -45, \"d\": -11, \"e\": -605}", "seed": "1331720484630975737", "semantic_fingerprint": "sha256:b270e06e64fe6f570b315aa57d9a02040515a670c8cff02c2c3bcaf4484f0d7c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005978", "prompt": "Solve for x: 2x = 6(x + 726) - 11", "solution_steps": ["Expand: 2x = 6x + 4356 - 11", "Combine constants: 2x = 6x + 4345", "Subtract 6x from both sides: -4x = 4345", "Divide both sides by -4: x = -4345/4"], "final_answer": "-4345/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 6(x + 726) - 11", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 726, \"d\": 11}", "seed": "3923865971310590802", "semantic_fingerprint": "sha256:1adb13817ae82d70c8646f0c5b5aef39d281102607b5beaa8f09ebfc07623fea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005979", "prompt": "Calculate: (38 + (-2)) / (8 + (-12))", "solution_steps": ["Add: 38 + (-2) = 36", "Add: 8 + (-12) = -4", "Divide: 36 / (-4) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "(38 + (-2)) / (8 + (-12))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -2, \"c\": 8, \"d\": -12}", "seed": "5815164113259355553", "semantic_fingerprint": "sha256:9705ff14bb184a4d14134f6c21cfedade634fa2067f5e7a814a4868e4f4b8bdd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005980", "prompt": "Find x: -12x - 499 = 8x - 699", "solution_steps": ["Subtract 8x from both sides: -20x - 499 = -699", "Add 499 to both sides: -20x = -200", "Divide both sides by -20: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 499 = 8x - 699", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 499, \"c\": 8, \"e\": -699, \"x\": 10}", "seed": "13782408625256742887", "semantic_fingerprint": "sha256:a8c782a17aef945acdf32279db9bc04075e77bf76f39311816b3fe9b249e6a9e", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005981", "prompt": "What value of x satisfies -6(x + 169) + 484 = x + 4?", "solution_steps": ["Expand: -6x - 1014 + 484 = x + 4", "Combine constants: -6x - 530 = x + 4", "Subtract x from both sides: -7x - 530 = 4", "Add 530 to both sides: -7x = 534", "Divide both sides by -7: x = -534/7"], "final_answer": "-534/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 169) + 484 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 169, \"c\": 484, \"d\": 4}", "seed": "17015452601652725256", "semantic_fingerprint": "sha256:d712c39b2936fdd991e60b0445d227f40cec38d3cf512a4c71e2d95b9ad19533", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005982", "prompt": "What value of x satisfies -4x - 562 = 8x - 502?", "solution_steps": ["Subtract 8x from both sides: -12x - 562 = -502", "Add 562 to both sides: -12x = 60", "Divide both sides by -12: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 562 = 8x - 502", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 562, \"c\": 8, \"e\": -502, \"x\": -5}", "seed": "5196463349182883369", "semantic_fingerprint": "sha256:525951283494bc45a7f4dc33a3ed9d5bc7fc5c029a4e86dc3a628260ce39e2c3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005983", "prompt": "What is 60 * 8 + (-96 - 27)?", "solution_steps": ["Multiply: 60 * 8 = 480", "Subtract: -96 - 27 = -123", "Add: 480 + (-123) = 357"], "final_answer": "357", "answer_type": "integer", "kind": "expression", "math_text": "60 * 8 + (-96 - 27)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 8, \"c\": -96, \"d\": 27}", "seed": "13175291429560882541", "semantic_fingerprint": "sha256:3df73b9f29ecba85c3ce8cec6159f8def794e4acc088e5adfd872ba997b7a442", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005984", "prompt": "Evaluate: (47 - 68) / (4 * (-988) + 64)", "solution_steps": ["Subtract: 47 - 68 = -21", "Multiply: 4 * (-988) = -3952", "Add: -3952 + 64 = -3888", "Divide: -21 / (-3888) = 7/1296"], "final_answer": "7/1296", "answer_type": "rational", "kind": "expression", "math_text": "(47 - 68) / (4 * (-988) + 64)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 68, \"c\": 4, \"d\": -988, \"e\": 64}", "seed": "16512706142384154698", "semantic_fingerprint": "sha256:bc77237b8d28037ed57fedc933edf155f7c6874c5dd0c0f4da4af5e3d9695042", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005985", "prompt": "Solve for x: 12x - 642 = 10x - 652", "solution_steps": ["Subtract 10x from both sides: 2x - 642 = -652", "Add 642 to both sides: 2x = -10", "Divide both sides by 2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 642 = 10x - 652", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 642, \"c\": 10, \"e\": -652, \"x\": -5}", "seed": "11315465803906262325", "semantic_fingerprint": "sha256:2f7e52a5e49bd5eeaf2b83d6c70d9c81b332d40a5712813d8a23fcfb7e103399", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005986", "prompt": "Find x: 9(x + 35) + 4 = x + 546", "solution_steps": ["Expand: 9x + 315 + 4 = x + 546", "Combine constants: 9x + 319 = x + 546", "Subtract x from both sides: 8x + 319 = 546", "Subtract 319 from both sides: 8x = 227", "Divide both sides by 8: x = 227/8"], "final_answer": "227/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 35) + 4 = x + 546", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 35, \"c\": 4, \"d\": 546}", "seed": "460403113374417512", "semantic_fingerprint": "sha256:73ec68d6250b83ed020322126c337b4ca70a1496ee5c700acaf2e4eb563d800a", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005987", "prompt": "Calculate: -53 * (-214) + (-361 - (-295))", "solution_steps": ["Multiply: -53 * (-214) = 11342", "Subtract: -361 - (-295) = -66", "Add: 11342 + (-66) = 11276"], "final_answer": "11276", "answer_type": "integer", "kind": "expression", "math_text": "-53 * (-214) + (-361 - (-295))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -214, \"c\": -361, \"d\": -295}", "seed": "11366578779834778501", "semantic_fingerprint": "sha256:99d89471f467ed51ce97dc3f54e5de5cb8e53749e8540d8863118d1ecee77129", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005988", "prompt": "Solve for x: 10(x - 3) + 9 = -3(x + 25)", "solution_steps": ["Expand: 10x - 30 + 9 = -3(x + 25)", "Expand: 10x - 30 + 9 = -3x - 75", "Combine constants: 10x - 21 = -3x - 75", "Add 3x to both sides: 13x - 21 = -75", "Add 21 to both sides: 13x = -54", "Divide both sides by 13: x = -54/13"], "final_answer": "-54/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 3) + 9 = -3(x + 25)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 9, \"d\": -3, \"e\": 25}", "seed": "16006606185450635472", "semantic_fingerprint": "sha256:437dd42bfb453a8416854947e619ce794ec45764331f317755d00e08ca017aea", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005989", "prompt": "Solve for x: -2x - 12 = 9x - 122", "solution_steps": ["Subtract 9x from both sides: -11x - 12 = -122", "Add 12 to both sides: -11x = -110", "Divide both sides by -11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 12 = 9x - 122", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"c\": 9, \"e\": -122, \"x\": 10}", "seed": "15956991523223739782", "semantic_fingerprint": "sha256:dffa4c0ab8aba1bc3179b8c5427e0c6747c1e495410cde54d8cd6120b056406c", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005990", "prompt": "Compute: (93 * (8 - 869) + (-1) / 6) / 8", "solution_steps": ["Subtract: 8 - 869 = -861", "Multiply: 93 * (-861) = -80073", "Divide: -1 / 6 = -1/6", "Add: -80073 + (-1/6) = -480439/6", "Divide: (-480439/6) / 8 = -480439/48"], "final_answer": "-480439/48", "answer_type": "rational", "kind": "expression", "math_text": "(93 * (8 - 869) + (-1) / 6) / 8", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n (- n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 8, \"c\": 869, \"d\": -1, \"e\": 6, \"f\": 8}", "seed": "6926316011380179059", "semantic_fingerprint": "sha256:aef53a77af60990edeb487bcddd8d37e28b4725b65f2f689d8c1a115dcecfc49", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005991", "prompt": "What value of x satisfies 10(x + 46) = 7(x - 75) + 943?", "solution_steps": ["Expand: 10x + 460 = 7(x - 75) + 943", "Expand: 10x + 460 = 7x - 525 + 943", "Combine constants: 10x + 460 = 7x + 418", "Subtract 7x from both sides: 3x + 460 = 418", "Subtract 460 from both sides: 3x = -42", "Divide both sides by 3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 46) = 7(x - 75) + 943", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 46, \"c\": 7, \"d\": 75, \"f\": 943, \"x\": -14}", "seed": "10615538914558509430", "semantic_fingerprint": "sha256:a07ee695442d7938b4ccb22ef9d96e9e126f6d2fe2ae5f8a2eaf13347affcd79", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005992", "prompt": "Find x: 7(x + 2) - 9 = x + 77", "solution_steps": ["Expand: 7x + 14 - 9 = x + 77", "Combine constants: 7x + 5 = x + 77", "Subtract x from both sides: 6x + 5 = 77", "Subtract 5 from both sides: 6x = 72", "Divide both sides by 6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 2) - 9 = x + 77", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 9, \"e\": 77, \"x\": 12}", "seed": "10285166139505574229", "semantic_fingerprint": "sha256:ac4439a555f995964ee84eb2ceea59a2e1c62c0772e1b88bc36b235ee0301de3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005993", "prompt": "Compute: -1 * (-91) * 1 - (40 + (-1) - (-711))", "solution_steps": ["Multiply: -1 * (-91) = 91", "Multiply: 91 * 1 = 91", "Add: 40 + (-1) = 39", "Subtract: 39 - (-711) = 750", "Subtract: 91 - 750 = -659"], "final_answer": "-659", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-91) * 1 - (40 + (-1) - (-711))", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -91, \"c\": 1, \"d\": 40, \"e\": -1, \"f\": -711}", "seed": "5707400440550503943", "semantic_fingerprint": "sha256:02abaf945d2b7836c8e513847421a833166302c46af01ee686e5fde0061d24c6", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005994", "prompt": "Find x: 12x - 88 = -5x - 3", "solution_steps": ["Add 5x to both sides: 17x - 88 = -3", "Add 88 to both sides: 17x = 85", "Divide both sides by 17: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 88 = -5x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 88, \"c\": -5, \"d\": 3}", "seed": "10584415655456451176", "semantic_fingerprint": "sha256:23effaca9314e7f8e46d43c009b434c30c88c462b4077649b9a658dc2592fcf3", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005995", "prompt": "Evaluate: -908 - 46 - (-981 / 96 - 81)", "solution_steps": ["Subtract: -908 - 46 = -954", "Divide: -981 / 96 = -327/32", "Subtract: -327/32 - 81 = -2919/32", "Subtract: -954 - (-2919/32) = -27609/32"], "final_answer": "-27609/32", "answer_type": "rational", "kind": "expression", "math_text": "-908 - 46 - (-981 / 96 - 81)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -908, \"b\": 46, \"c\": -981, \"d\": 96, \"e\": 81}", "seed": "1272276825916935969", "semantic_fingerprint": "sha256:367fff3fa12589f383d326c534a70e72410b97e6ff166ad19751cefbe4e58bfd", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005996", "prompt": "Calculate: 172 * (-5) + (1 - 29)", "solution_steps": ["Multiply: 172 * (-5) = -860", "Subtract: 1 - 29 = -28", "Add: -860 + (-28) = -888"], "final_answer": "-888", "answer_type": "integer", "kind": "expression", "math_text": "172 * (-5) + (1 - 29)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 172, \"b\": -5, \"c\": 1, \"d\": 29}", "seed": "4751383320057419097", "semantic_fingerprint": "sha256:de85446434ab2e311b1a29cc319496b40653ce24cadb215e16711df395c36d30", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005997", "prompt": "Calculate: -59 * (-721) + (-7 - (-39))", "solution_steps": ["Multiply: -59 * (-721) = 42539", "Subtract: -7 - (-39) = 32", "Add: 42539 + 32 = 42571"], "final_answer": "42571", "answer_type": "integer", "kind": "expression", "math_text": "-59 * (-721) + (-7 - (-39))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -721, \"c\": -7, \"d\": -39}", "seed": "13338082903133741807", "semantic_fingerprint": "sha256:a5f32442339f787e1b19a0d792ad9ae54118354eca67350616458c348f5dcc58", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005998", "prompt": "Compute: (-69 / (-93) - 4) * (-7 + 0)", "solution_steps": ["Divide: -69 / (-93) = 23/31", "Subtract: 23/31 - 4 = -101/31", "Add: -7 + 0 = -7", "Multiply: (-101/31) * (-7) = 707/31"], "final_answer": "707/31", "answer_type": "rational", "kind": "expression", "math_text": "(-69 / (-93) - 4) * (-7 + 0)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -93, \"c\": 4, \"d\": -7, \"e\": 0}", "seed": "3274010969555154633", "semantic_fingerprint": "sha256:125214cdbdfc467d13ed2df40bfb3aa5005b150a56ec2e3dd9fe0a4ac98e1396", "generator_version": "3.0"}
{"id": "v3_test_heldout_shape_00005999", "prompt": "Compute: (-789 + (-95)) / (0 + 5)", "solution_steps": ["Add: -789 + (-95) = -884", "Add: 0 + 5 = 5", "Divide: -884 / 5 = -884/5"], "final_answer": "-884/5", "answer_type": "rational", "kind": "expression", "math_text": "(-789 + (-95)) / (0 + 5)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -789, \"b\": -95, \"c\": 0, \"d\": 5}", "seed": "3236988036216105078", "semantic_fingerprint": "sha256:b73abf3798f36e29b336a965ba7652ba889c68403a56a1ad85b2a467ced30fde", "generator_version": "3.0"}